id	sid	tid	token	lemma	pos
fumecheng-4792	1	1	facta	facta	PROPN
fumecheng-4792	1	2	universitatis	universitatis	PROPN
fumecheng-4792	1	3	series	series	NOUN
fumecheng-4792	1	4	:	:	PUNCT
fumecheng-4792	1	5	mechanical	mechanical	ADJ
fumecheng-4792	1	6	engineering	engineering	NOUN
fumecheng-4792	1	7	vol	vol	NOUN
fumecheng-4792	1	8	.	.	PROPN
fumecheng-4792	2	1	17	17	NUM
fumecheng-4792	2	2	,	,	PUNCT
fumecheng-4792	2	3	no	no	DET
fumecheng-4792	2	4	1	1	NUM
fumecheng-4792	2	5	,	,	PUNCT
fumecheng-4792	2	6	2019	2019	NUM
fumecheng-4792	2	7	,	,	PUNCT
fumecheng-4792	2	8	pp	pp	ADV
fumecheng-4792	2	9	.	.	PUNCT
fumecheng-4792	3	1	1	1	NUM
fumecheng-4792	3	2	15	15	NUM
fumecheng-4792	3	3	https://doi.org/10.22190/fume190103008b	https://doi.org/10.22190/fume190103008b	PROPN
fumecheng-4792	3	4	©	©	PROPN
fumecheng-4792	3	5	2019	2019	NUM
fumecheng-4792	3	6	by	by	ADP
fumecheng-4792	3	7	university	university	PROPN
fumecheng-4792	3	8	of	of	ADP
fumecheng-4792	3	9	niš	niš	PROPN
fumecheng-4792	3	10	,	,	PUNCT
fumecheng-4792	3	11	serbia	serbia	PROPN
fumecheng-4792	3	12	|	|	ADV
fumecheng-4792	3	13	creative	creative	ADJ
fumecheng-4792	3	14	commons	common	NOUN
fumecheng-4792	3	15	license	license	NOUN
fumecheng-4792	3	16	:	:	PUNCT
fumecheng-4792	3	17	cc	cc	VERB
fumecheng-4792	3	18	by	by	ADP
fumecheng-4792	3	19	-	-	PUNCT
fumecheng-4792	3	20	nc	nc	VERB
fumecheng-4792	3	21	-	-	PUNCT
fumecheng-4792	3	22	nd	nd	ADV
fumecheng-4792	3	23	original	original	ADJ
fumecheng-4792	3	24	scientific	scientific	ADJ
fumecheng-4792	3	25	paper	paper	VERB
fumecheng-4792	3	26	numerical	numerical	ADJ
fumecheng-4792	3	27	methods	method	NOUN
fumecheng-4792	3	28	for	for	ADP
fumecheng-4792	3	29	the	the	DET
fumecheng-4792	3	30	simulation	simulation	NOUN
fumecheng-4792	3	31	of	of	ADP
fumecheng-4792	3	32	deformations	deformation	NOUN
fumecheng-4792	3	33	and	and	CCONJ
fumecheng-4792	3	34	stresses	stress	NOUN
fumecheng-4792	3	35	in	in	ADP
fumecheng-4792	3	36	turbine	turbine	NOUN
fumecheng-4792	3	37	blade	blade	NOUN
fumecheng-4792	3	38	fir	fir	NOUN
fumecheng-4792	3	39	-	-	PUNCT
fumecheng-4792	3	40	tree	tree	NOUN
fumecheng-4792	3	41	connections	connection	NOUN
fumecheng-4792	3	42	justus	justus	PROPN
fumecheng-4792	3	43	benad	benad	PROPN
fumecheng-4792	3	44	berlin	berlin	PROPN
fumecheng-4792	3	45	university	university	PROPN
fumecheng-4792	3	46	of	of	ADP
fumecheng-4792	3	47	technology	technology	PROPN
fumecheng-4792	3	48	,	,	PUNCT
fumecheng-4792	3	49	berlin	berlin	PROPN
fumecheng-4792	3	50	,	,	PUNCT
fumecheng-4792	3	51	germany	germany	PROPN
fumecheng-4792	3	52	abstract	abstract	NOUN
fumecheng-4792	3	53	.	.	PUNCT
fumecheng-4792	4	1	in	in	ADP
fumecheng-4792	4	2	this	this	DET
fumecheng-4792	4	3	work	work	NOUN
fumecheng-4792	4	4	,	,	PUNCT
fumecheng-4792	4	5	different	different	ADJ
fumecheng-4792	4	6	numerical	numerical	ADJ
fumecheng-4792	4	7	methods	method	NOUN
fumecheng-4792	4	8	for	for	ADP
fumecheng-4792	4	9	simulating	simulate	VERB
fumecheng-4792	4	10	deformations	deformation	NOUN
fumecheng-4792	4	11	and	and	CCONJ
fumecheng-4792	4	12	stresses	stress	NOUN
fumecheng-4792	4	13	in	in	ADP
fumecheng-4792	4	14	turbine	turbine	NOUN
fumecheng-4792	4	15	blade	blade	NOUN
fumecheng-4792	4	16	fir	fir	NOUN
fumecheng-4792	4	17	-	-	PUNCT
fumecheng-4792	4	18	tree	tree	NOUN
fumecheng-4792	4	19	connections	connection	NOUN
fumecheng-4792	4	20	are	be	AUX
fumecheng-4792	4	21	examined	examine	VERB
fumecheng-4792	4	22	.	.	PUNCT
fumecheng-4792	5	1	the	the	DET
fumecheng-4792	5	2	main	main	ADJ
fumecheng-4792	5	3	focus	focus	NOUN
fumecheng-4792	5	4	is	be	AUX
fumecheng-4792	5	5	on	on	ADP
fumecheng-4792	5	6	the	the	DET
fumecheng-4792	5	7	method	method	NOUN
fumecheng-4792	5	8	of	of	ADP
fumecheng-4792	5	9	dimensionality	dimensionality	NOUN
fumecheng-4792	5	10	reduction	reduction	NOUN
fumecheng-4792	5	11	(	(	PUNCT
fumecheng-4792	5	12	mdr	mdr	NOUN
fumecheng-4792	5	13	)	)	PUNCT
fumecheng-4792	5	14	and	and	CCONJ
fumecheng-4792	5	15	the	the	DET
fumecheng-4792	5	16	boundary	boundary	ADJ
fumecheng-4792	5	17	element	element	NOUN
fumecheng-4792	5	18	method	method	NOUN
fumecheng-4792	5	19	(	(	PUNCT
fumecheng-4792	5	20	bem	bem	PROPN
fumecheng-4792	5	21	)	)	PUNCT
fumecheng-4792	5	22	.	.	PUNCT
fumecheng-4792	6	1	generally	generally	ADV
fumecheng-4792	6	2	,	,	PUNCT
fumecheng-4792	6	3	the	the	DET
fumecheng-4792	6	4	fir	fir	NOUN
fumecheng-4792	6	5	-	-	PUNCT
fumecheng-4792	6	6	tree	tree	NOUN
fumecheng-4792	6	7	connections	connection	NOUN
fumecheng-4792	6	8	require	require	VERB
fumecheng-4792	6	9	a	a	DET
fumecheng-4792	6	10	computationally	computationally	ADV
fumecheng-4792	6	11	expensive	expensive	ADJ
fumecheng-4792	6	12	finite	finite	ADJ
fumecheng-4792	6	13	element	element	NOUN
fumecheng-4792	6	14	setup	setup	NOUN
fumecheng-4792	6	15	.	.	PUNCT
fumecheng-4792	7	1	their	their	PRON
fumecheng-4792	7	2	complex	complex	ADJ
fumecheng-4792	7	3	geometry	geometry	NOUN
fumecheng-4792	7	4	exceeds	exceed	VERB
fumecheng-4792	7	5	the	the	DET
fumecheng-4792	7	6	limitations	limitation	NOUN
fumecheng-4792	7	7	of	of	ADP
fumecheng-4792	7	8	the	the	DET
fumecheng-4792	7	9	faster	fast	ADJ
fumecheng-4792	7	10	numerical	numerical	ADJ
fumecheng-4792	7	11	techniques	technique	NOUN
fumecheng-4792	7	12	which	which	PRON
fumecheng-4792	7	13	are	be	AUX
fumecheng-4792	7	14	used	use	VERB
fumecheng-4792	7	15	with	with	ADP
fumecheng-4792	7	16	great	great	ADJ
fumecheng-4792	7	17	success	success	NOUN
fumecheng-4792	7	18	within	within	ADP
fumecheng-4792	7	19	the	the	DET
fumecheng-4792	7	20	framework	framework	NOUN
fumecheng-4792	7	21	of	of	ADP
fumecheng-4792	7	22	the	the	DET
fumecheng-4792	7	23	half	half	ADJ
fumecheng-4792	7	24	-	-	PUNCT
fumecheng-4792	7	25	space	space	NOUN
fumecheng-4792	7	26	approximation	approximation	NOUN
fumecheng-4792	7	27	.	.	PUNCT
fumecheng-4792	8	1	ways	way	NOUN
fumecheng-4792	8	2	of	of	ADP
fumecheng-4792	8	3	extending	extend	VERB
fumecheng-4792	8	4	the	the	DET
fumecheng-4792	8	5	application	application	NOUN
fumecheng-4792	8	6	range	range	NOUN
fumecheng-4792	8	7	of	of	ADP
fumecheng-4792	8	8	the	the	DET
fumecheng-4792	8	9	mdr	mdr	PROPN
fumecheng-4792	8	10	and	and	CCONJ
fumecheng-4792	8	11	the	the	DET
fumecheng-4792	8	12	bem	bem	NOUN
fumecheng-4792	8	13	to	to	ADP
fumecheng-4792	8	14	the	the	DET
fumecheng-4792	8	15	particular	particular	ADJ
fumecheng-4792	8	16	problem	problem	NOUN
fumecheng-4792	8	17	of	of	ADP
fumecheng-4792	8	18	highly	highly	ADV
fumecheng-4792	8	19	undulating	undulate	VERB
fumecheng-4792	8	20	surfaces	surface	NOUN
fumecheng-4792	8	21	of	of	ADP
fumecheng-4792	8	22	the	the	DET
fumecheng-4792	8	23	fir	fir	NOUN
fumecheng-4792	8	24	-	-	PUNCT
fumecheng-4792	8	25	tree	tree	NOUN
fumecheng-4792	8	26	connection	connection	NOUN
fumecheng-4792	8	27	are	be	AUX
fumecheng-4792	8	28	shown	show	VERB
fumecheng-4792	8	29	and	and	CCONJ
fumecheng-4792	8	30	discussed	discuss	VERB
fumecheng-4792	8	31	.	.	PUNCT
fumecheng-4792	9	1	key	key	ADJ
fumecheng-4792	9	2	words	word	NOUN
fumecheng-4792	9	3	:	:	PUNCT
fumecheng-4792	9	4	fir	fir	ADJ
fumecheng-4792	9	5	-	-	PUNCT
fumecheng-4792	9	6	tree	tree	NOUN
fumecheng-4792	9	7	connections	connection	NOUN
fumecheng-4792	9	8	,	,	PUNCT
fumecheng-4792	9	9	navier	navier	NOUN
fumecheng-4792	9	10	equation	equation	NOUN
fumecheng-4792	9	11	,	,	PUNCT
fumecheng-4792	9	12	boundary	boundary	ADJ
fumecheng-4792	9	13	element	element	NOUN
fumecheng-4792	9	14	method	method	NOUN
fumecheng-4792	9	15	,	,	PUNCT
fumecheng-4792	9	16	fft	fft	PROPN
fumecheng-4792	9	17	1	1	NUM
fumecheng-4792	9	18	.	.	PUNCT
fumecheng-4792	9	19	introduction	introduction	NOUN
fumecheng-4792	9	20	the	the	DET
fumecheng-4792	9	21	rotating	rotate	VERB
fumecheng-4792	9	22	components	component	NOUN
fumecheng-4792	9	23	in	in	ADP
fumecheng-4792	9	24	a	a	DET
fumecheng-4792	9	25	gas	gas	NOUN
fumecheng-4792	9	26	turbine	turbine	NOUN
fumecheng-4792	9	27	are	be	AUX
fumecheng-4792	9	28	a	a	DET
fumecheng-4792	9	29	challenge	challenge	NOUN
fumecheng-4792	9	30	for	for	ADP
fumecheng-4792	9	31	both	both	CCONJ
fumecheng-4792	9	32	design	design	NOUN
fumecheng-4792	9	33	and	and	CCONJ
fumecheng-4792	9	34	manufacturing	manufacturing	NOUN
fumecheng-4792	9	35	.	.	PUNCT
fumecheng-4792	10	1	especially	especially	ADV
fumecheng-4792	10	2	turbine	turbine	NOUN
fumecheng-4792	10	3	blades	blade	NOUN
fumecheng-4792	10	4	lead	lead	VERB
fumecheng-4792	10	5	the	the	DET
fumecheng-4792	10	6	way	way	NOUN
fumecheng-4792	10	7	in	in	ADP
fumecheng-4792	10	8	terms	term	NOUN
fumecheng-4792	10	9	of	of	ADP
fumecheng-4792	10	10	future	future	ADJ
fumecheng-4792	10	11	technology	technology	NOUN
fumecheng-4792	10	12	[	[	X
fumecheng-4792	10	13	1	1	NUM
fumecheng-4792	10	14	]	]	PUNCT
fumecheng-4792	10	15	.	.	PUNCT
fumecheng-4792	11	1	improvements	improvement	NOUN
fumecheng-4792	11	2	of	of	ADP
fumecheng-4792	11	3	these	these	DET
fumecheng-4792	11	4	components	component	NOUN
fumecheng-4792	11	5	may	may	AUX
fumecheng-4792	11	6	result	result	VERB
fumecheng-4792	11	7	in	in	ADP
fumecheng-4792	11	8	lower	low	ADJ
fumecheng-4792	11	9	weight	weight	NOUN
fumecheng-4792	11	10	,	,	PUNCT
fumecheng-4792	11	11	increased	increase	VERB
fumecheng-4792	11	12	turbine	turbine	NOUN
fumecheng-4792	11	13	performance	performance	NOUN
fumecheng-4792	11	14	,	,	PUNCT
fumecheng-4792	11	15	a	a	DET
fumecheng-4792	11	16	longer	long	ADJ
fumecheng-4792	11	17	life	life	NOUN
fumecheng-4792	11	18	,	,	PUNCT
fumecheng-4792	11	19	and	and	CCONJ
fumecheng-4792	11	20	lower	low	ADJ
fumecheng-4792	11	21	operating	operating	NOUN
fumecheng-4792	11	22	costs	cost	NOUN
fumecheng-4792	11	23	.	.	PUNCT
fumecheng-4792	12	1	for	for	ADP
fumecheng-4792	12	2	aero	aero	PROPN
fumecheng-4792	12	3	engines	engine	NOUN
fumecheng-4792	12	4	(	(	PUNCT
fumecheng-4792	12	5	see	see	VERB
fumecheng-4792	12	6	fig	fig	NOUN
fumecheng-4792	12	7	.	.	PUNCT
fumecheng-4792	13	1	1	1	NUM
fumecheng-4792	13	2	)	)	PUNCT
fumecheng-4792	13	3	,	,	PUNCT
fumecheng-4792	13	4	such	such	ADJ
fumecheng-4792	13	5	improvements	improvement	NOUN
fumecheng-4792	13	6	have	have	VERB
fumecheng-4792	13	7	a	a	DET
fumecheng-4792	13	8	positive	positive	ADJ
fumecheng-4792	13	9	impact	impact	NOUN
fumecheng-4792	13	10	on	on	ADP
fumecheng-4792	13	11	the	the	DET
fumecheng-4792	13	12	entire	entire	ADJ
fumecheng-4792	13	13	aircraft	aircraft	NOUN
fumecheng-4792	13	14	[	[	X
fumecheng-4792	13	15	2	2	NUM
fumecheng-4792	13	16	,	,	PUNCT
fumecheng-4792	13	17	3	3	NUM
fumecheng-4792	13	18	]	]	PUNCT
fumecheng-4792	13	19	.	.	PUNCT
fumecheng-4792	14	1	this	this	PRON
fumecheng-4792	14	2	may	may	AUX
fumecheng-4792	14	3	lead	lead	VERB
fumecheng-4792	14	4	to	to	ADP
fumecheng-4792	14	5	lower	low	ADJ
fumecheng-4792	14	6	emissions	emission	NOUN
fumecheng-4792	14	7	and	and	CCONJ
fumecheng-4792	14	8	a	a	DET
fumecheng-4792	14	9	reduced	reduce	VERB
fumecheng-4792	14	10	environmental	environmental	ADJ
fumecheng-4792	14	11	impact	impact	NOUN
fumecheng-4792	14	12	.	.	PUNCT
fumecheng-4792	15	1	among	among	ADP
fumecheng-4792	15	2	the	the	DET
fumecheng-4792	15	3	most	most	ADV
fumecheng-4792	15	4	critical	critical	ADJ
fumecheng-4792	15	5	parts	part	NOUN
fumecheng-4792	15	6	of	of	ADP
fumecheng-4792	15	7	the	the	DET
fumecheng-4792	15	8	turbine	turbine	NOUN
fumecheng-4792	15	9	are	be	AUX
fumecheng-4792	15	10	the	the	DET
fumecheng-4792	15	11	fir	fir	NOUN
fumecheng-4792	15	12	-	-	PUNCT
fumecheng-4792	15	13	tree	tree	NOUN
fumecheng-4792	15	14	connections	connection	NOUN
fumecheng-4792	15	15	of	of	ADP
fumecheng-4792	15	16	turbine	turbine	NOUN
fumecheng-4792	15	17	blade	blade	NOUN
fumecheng-4792	15	18	and	and	CCONJ
fumecheng-4792	15	19	turbine	turbine	NOUN
fumecheng-4792	15	20	disk	disk	NOUN
fumecheng-4792	15	21	(	(	PUNCT
fumecheng-4792	15	22	see	see	VERB
fumecheng-4792	15	23	fig	fig	NOUN
fumecheng-4792	15	24	.	.	PUNCT
fumecheng-4792	16	1	2	2	NUM
fumecheng-4792	16	2	and	and	CCONJ
fumecheng-4792	16	3	3	3	NUM
fumecheng-4792	16	4	)	)	PUNCT
fumecheng-4792	16	5	.	.	PUNCT
fumecheng-4792	17	1	the	the	DET
fumecheng-4792	17	2	loads	load	NOUN
fumecheng-4792	17	3	in	in	ADP
fumecheng-4792	17	4	these	these	DET
fumecheng-4792	17	5	connections	connection	NOUN
fumecheng-4792	17	6	strongly	strongly	ADV
fumecheng-4792	17	7	influence	influence	VERB
fumecheng-4792	17	8	the	the	DET
fumecheng-4792	17	9	living	living	NOUN
fumecheng-4792	17	10	of	of	ADP
fumecheng-4792	17	11	the	the	DET
fumecheng-4792	17	12	blade	blade	NOUN
fumecheng-4792	17	13	and	and	CCONJ
fumecheng-4792	17	14	the	the	DET
fumecheng-4792	17	15	disk	disk	NOUN
fumecheng-4792	17	16	.	.	PUNCT
fumecheng-4792	18	1	indeed	indeed	ADV
fumecheng-4792	18	2	,	,	PUNCT
fumecheng-4792	18	3	turbine	turbine	NOUN
fumecheng-4792	18	4	disks	disk	NOUN
fumecheng-4792	18	5	are	be	AUX
fumecheng-4792	18	6	among	among	ADP
fumecheng-4792	18	7	the	the	DET
fumecheng-4792	18	8	components	component	NOUN
fumecheng-4792	18	9	which	which	PRON
fumecheng-4792	18	10	are	be	AUX
fumecheng-4792	18	11	most	most	ADV
fumecheng-4792	18	12	prone	prone	ADJ
fumecheng-4792	18	13	to	to	ADP
fumecheng-4792	18	14	cracking	crack	VERB
fumecheng-4792	18	15	in	in	ADP
fumecheng-4792	18	16	the	the	DET
fumecheng-4792	18	17	entire	entire	ADJ
fumecheng-4792	18	18	engine	engine	NOUN
fumecheng-4792	18	19	[	[	X
fumecheng-4792	18	20	1	1	NUM
fumecheng-4792	18	21	]	]	PUNCT
fumecheng-4792	18	22	.	.	PUNCT
fumecheng-4792	19	1	such	such	DET
fumecheng-4792	19	2	a	a	DET
fumecheng-4792	19	3	failure	failure	NOUN
fumecheng-4792	19	4	may	may	AUX
fumecheng-4792	19	5	cause	cause	VERB
fumecheng-4792	19	6	severe	severe	ADJ
fumecheng-4792	19	7	damage	damage	NOUN
fumecheng-4792	19	8	to	to	ADP
fumecheng-4792	19	9	the	the	DET
fumecheng-4792	19	10	aircraft	aircraft	NOUN
fumecheng-4792	19	11	(	(	PUNCT
fumecheng-4792	19	12	see	see	VERB
fumecheng-4792	19	13	fig	fig	NOUN
fumecheng-4792	19	14	.	.	PUNCT
fumecheng-4792	20	1	4	4	NUM
fumecheng-4792	20	2	)	)	PUNCT
fumecheng-4792	20	3	.	.	PUNCT
fumecheng-4792	21	1	the	the	DET
fumecheng-4792	21	2	resulting	result	VERB
fumecheng-4792	21	3	high	high	ADJ
fumecheng-4792	21	4	safety	safety	NOUN
fumecheng-4792	21	5	requirements	requirement	NOUN
fumecheng-4792	21	6	along	along	ADP
fumecheng-4792	21	7	with	with	ADP
fumecheng-4792	21	8	the	the	DET
fumecheng-4792	21	9	afore	afore	NOUN
fumecheng-4792	21	10	mentioned	mention	VERB
fumecheng-4792	21	11	high	high	ADJ
fumecheng-4792	21	12	potential	potential	NOUN
fumecheng-4792	21	13	for	for	ADP
fumecheng-4792	21	14	future	future	ADJ
fumecheng-4792	21	15	development	development	NOUN
fumecheng-4792	21	16	and	and	CCONJ
fumecheng-4792	21	17	optimization	optimization	NOUN
fumecheng-4792	21	18	of	of	ADP
fumecheng-4792	21	19	turbine	turbine	NOUN
fumecheng-4792	21	20	blades	blade	NOUN
fumecheng-4792	21	21	,	,	PUNCT
fumecheng-4792	21	22	disks	disk	NOUN
fumecheng-4792	21	23	and	and	CCONJ
fumecheng-4792	21	24	their	their	PRON
fumecheng-4792	21	25	fir	fir	NOUN
fumecheng-4792	21	26	-	-	PUNCT
fumecheng-4792	21	27	tree	tree	NOUN
fumecheng-4792	21	28	connections	connection	NOUN
fumecheng-4792	21	29	lead	lead	VERB
fumecheng-4792	21	30	to	to	ADP
fumecheng-4792	21	31	a	a	DET
fumecheng-4792	21	32	demand	demand	NOUN
fumecheng-4792	21	33	for	for	ADP
fumecheng-4792	21	34	highly	highly	ADV
fumecheng-4792	21	35	accurate	accurate	ADJ
fumecheng-4792	21	36	and	and	CCONJ
fumecheng-4792	21	37	rapid	rapid	ADJ
fumecheng-4792	21	38	simulation	simulation	NOUN
fumecheng-4792	21	39	tools	tool	NOUN
fumecheng-4792	21	40	.	.	PUNCT
fumecheng-4792	22	1	received	receive	VERB
fumecheng-4792	22	2	january	january	PROPN
fumecheng-4792	22	3	03	03	NUM
fumecheng-4792	22	4	,	,	PUNCT
fumecheng-4792	22	5	2019	2019	NUM
fumecheng-4792	22	6	/	/	SYM
fumecheng-4792	22	7	accepted	accept	VERB
fumecheng-4792	22	8	march	march	PROPN
fumecheng-4792	22	9	11	11	NUM
fumecheng-4792	22	10	,	,	PUNCT
fumecheng-4792	22	11	2019	2019	NUM
fumecheng-4792	22	12	corresponding	correspond	VERB
fumecheng-4792	22	13	author	author	NOUN
fumecheng-4792	22	14	:	:	PUNCT
fumecheng-4792	22	15	justus	justus	PROPN
fumecheng-4792	22	16	benad	benad	PROPN
fumecheng-4792	22	17	berlin	berlin	PROPN
fumecheng-4792	22	18	university	university	PROPN
fumecheng-4792	22	19	of	of	ADP
fumecheng-4792	22	20	technology	technology	PROPN
fumecheng-4792	22	21	,	,	PUNCT
fumecheng-4792	22	22	strasse	strasse	PROPN
fumecheng-4792	22	23	des	des	PROPN
fumecheng-4792	22	24	17	17	NUM
fumecheng-4792	22	25	.	.	PUNCT
fumecheng-4792	23	1	juni	juni	PROPN
fumecheng-4792	23	2	135	135	NUM
fumecheng-4792	23	3	,	,	PUNCT
fumecheng-4792	23	4	10623	10623	NUM
fumecheng-4792	23	5	berlin	berlin	PROPN
fumecheng-4792	23	6	,	,	PUNCT
fumecheng-4792	23	7	germany	germany	PROPN
fumecheng-4792	23	8	e	e	PROPN
fumecheng-4792	23	9	-	-	NOUN
fumecheng-4792	23	10	mail	mail	NOUN
fumecheng-4792	23	11	:	:	PUNCT
fumecheng-4792	23	12	mail@jbenad.com	mail@jbenad.com	X
fumecheng-4792	23	13	2	2	NUM
fumecheng-4792	23	14	j.	j.	PROPN
fumecheng-4792	23	15	benad	benad	PROPN
fumecheng-4792	23	16	in	in	ADP
fumecheng-4792	23	17	this	this	DET
fumecheng-4792	23	18	work	work	NOUN
fumecheng-4792	23	19	,	,	PUNCT
fumecheng-4792	23	20	different	different	ADJ
fumecheng-4792	23	21	numerical	numerical	ADJ
fumecheng-4792	23	22	methods	method	NOUN
fumecheng-4792	23	23	for	for	ADP
fumecheng-4792	23	24	simulating	simulate	VERB
fumecheng-4792	23	25	deformations	deformation	NOUN
fumecheng-4792	23	26	and	and	CCONJ
fumecheng-4792	23	27	stresses	stress	NOUN
fumecheng-4792	23	28	in	in	ADP
fumecheng-4792	23	29	the	the	DET
fumecheng-4792	23	30	turbine	turbine	NOUN
fumecheng-4792	23	31	blade	blade	NOUN
fumecheng-4792	23	32	fir	fir	NOUN
fumecheng-4792	23	33	-	-	PUNCT
fumecheng-4792	23	34	tree	tree	NOUN
fumecheng-4792	23	35	connections	connection	NOUN
fumecheng-4792	23	36	are	be	AUX
fumecheng-4792	23	37	examined	examine	VERB
fumecheng-4792	23	38	.	.	PUNCT
fumecheng-4792	24	1	the	the	DET
fumecheng-4792	24	2	main	main	ADJ
fumecheng-4792	24	3	focus	focus	NOUN
fumecheng-4792	24	4	is	be	AUX
fumecheng-4792	24	5	on	on	ADP
fumecheng-4792	24	6	the	the	DET
fumecheng-4792	24	7	method	method	NOUN
fumecheng-4792	24	8	of	of	ADP
fumecheng-4792	24	9	dimensionality	dimensionality	NOUN
fumecheng-4792	24	10	reduction	reduction	NOUN
fumecheng-4792	24	11	(	(	PUNCT
fumecheng-4792	24	12	mdr	mdr	NOUN
fumecheng-4792	24	13	)	)	PUNCT
fumecheng-4792	25	1	[	[	X
fumecheng-4792	25	2	4	4	X
fumecheng-4792	25	3	]	]	PUNCT
fumecheng-4792	25	4	and	and	CCONJ
fumecheng-4792	25	5	the	the	DET
fumecheng-4792	25	6	fft	fft	PROPN
fumecheng-4792	25	7	-	-	PUNCT
fumecheng-4792	25	8	based	base	VERB
fumecheng-4792	25	9	boundary	boundary	ADJ
fumecheng-4792	25	10	element	element	NOUN
fumecheng-4792	25	11	method	method	NOUN
fumecheng-4792	25	12	(	(	PUNCT
fumecheng-4792	25	13	bem	bem	PROPN
fumecheng-4792	25	14	)	)	PUNCT
fumecheng-4792	26	1	[	[	X
fumecheng-4792	26	2	5	5	NUM
fumecheng-4792	26	3	]	]	PUNCT
fumecheng-4792	26	4	.	.	PUNCT
fumecheng-4792	27	1	both	both	DET
fumecheng-4792	27	2	methods	method	NOUN
fumecheng-4792	27	3	have	have	AUX
fumecheng-4792	27	4	become	become	VERB
fumecheng-4792	27	5	standard	standard	ADJ
fumecheng-4792	27	6	tools	tool	NOUN
fumecheng-4792	27	7	in	in	ADP
fumecheng-4792	27	8	contact	contact	NOUN
fumecheng-4792	27	9	mechanics	mechanic	NOUN
fumecheng-4792	27	10	where	where	SCONJ
fumecheng-4792	27	11	they	they	PRON
fumecheng-4792	27	12	are	be	AUX
fumecheng-4792	27	13	applied	apply	VERB
fumecheng-4792	27	14	with	with	ADP
fumecheng-4792	27	15	great	great	ADJ
fumecheng-4792	27	16	success	success	NOUN
fumecheng-4792	27	17	within	within	ADP
fumecheng-4792	27	18	the	the	DET
fumecheng-4792	27	19	framework	framework	NOUN
fumecheng-4792	27	20	of	of	ADP
fumecheng-4792	27	21	the	the	DET
fumecheng-4792	27	22	half	half	ADJ
fumecheng-4792	27	23	-	-	PUNCT
fumecheng-4792	27	24	space	space	NOUN
fumecheng-4792	27	25	approximation	approximation	NOUN
fumecheng-4792	27	26	[	[	X
fumecheng-4792	27	27	6	6	NUM
fumecheng-4792	27	28	]	]	PUNCT
fumecheng-4792	27	29	.	.	PUNCT
fumecheng-4792	28	1	these	these	DET
fumecheng-4792	28	2	rapid	rapid	ADJ
fumecheng-4792	28	3	techniques	technique	NOUN
fumecheng-4792	28	4	are	be	AUX
fumecheng-4792	28	5	well	well	ADV
fumecheng-4792	28	6	-	-	PUNCT
fumecheng-4792	28	7	suited	suited	ADJ
fumecheng-4792	28	8	for	for	ADP
fumecheng-4792	28	9	demanding	demand	VERB
fumecheng-4792	28	10	wear	wear	NOUN
fumecheng-4792	28	11	simulations	simulation	NOUN
fumecheng-4792	28	12	(	(	PUNCT
fumecheng-4792	28	13	see	see	VERB
fumecheng-4792	28	14	for	for	ADP
fumecheng-4792	28	15	example	example	NOUN
fumecheng-4792	28	16	[	[	X
fumecheng-4792	28	17	7	7	NUM
fumecheng-4792	28	18	]	]	PUNCT
fumecheng-4792	28	19	,	,	PUNCT
fumecheng-4792	28	20	[	[	X
fumecheng-4792	28	21	8	8	NUM
fumecheng-4792	28	22	]	]	PUNCT
fumecheng-4792	28	23	,	,	PUNCT
fumecheng-4792	28	24	and	and	CCONJ
fumecheng-4792	28	25	[	[	X
fumecheng-4792	28	26	9	9	NUM
fumecheng-4792	28	27	]	]	SYM
fumecheng-4792	28	28	)	)	PUNCT
fumecheng-4792	28	29	.	.	PUNCT
fumecheng-4792	29	1	fig	fig	NOUN
fumecheng-4792	29	2	.	.	PUNCT
fumecheng-4792	30	1	1	1	NUM
fumecheng-4792	30	2	nacelle	nacelle	ADJ
fumecheng-4792	30	3	installation	installation	NOUN
fumecheng-4792	30	4	of	of	ADP
fumecheng-4792	30	5	the	the	DET
fumecheng-4792	30	6	rolls	roll	NOUN
fumecheng-4792	30	7	-	-	PUNCT
fumecheng-4792	30	8	royce	royce	PROPN
fumecheng-4792	30	9	trent	trent	NOUN
fumecheng-4792	30	10	xwb	xwb	PROPN
fumecheng-4792	30	11	turbofan	turbofan	NOUN
fumecheng-4792	30	12	engine	engine	NOUN
fumecheng-4792	30	13	on	on	ADP
fumecheng-4792	30	14	the	the	DET
fumecheng-4792	30	15	airbus	airbus	PROPN
fumecheng-4792	30	16	a350	a350	PROPN
fumecheng-4792	30	17	-	-	PUNCT
fumecheng-4792	30	18	900	900	NUM
fumecheng-4792	30	19	aircraft	aircraft	NOUN
fumecheng-4792	30	20	.	.	PUNCT
fumecheng-4792	31	1	image	image	NOUN
fumecheng-4792	31	2	:	:	PUNCT
fumecheng-4792	31	3	benad	benad	ADJ
fumecheng-4792	31	4	fig	fig	NOUN
fumecheng-4792	31	5	.	.	PUNCT
fumecheng-4792	32	1	2	2	NUM
fumecheng-4792	32	2	fir	fir	NOUN
fumecheng-4792	32	3	-	-	PUNCT
fumecheng-4792	32	4	tree	tree	NOUN
fumecheng-4792	32	5	connections	connection	NOUN
fumecheng-4792	32	6	of	of	ADP
fumecheng-4792	32	7	turbine	turbine	NOUN
fumecheng-4792	32	8	blades	blade	NOUN
fumecheng-4792	32	9	(	(	PUNCT
fumecheng-4792	32	10	gold	gold	NOUN
fumecheng-4792	32	11	)	)	PUNCT
fumecheng-4792	32	12	and	and	CCONJ
fumecheng-4792	32	13	disk	disk	NOUN
fumecheng-4792	32	14	(	(	PUNCT
fumecheng-4792	32	15	silver	silver	NOUN
fumecheng-4792	32	16	)	)	PUNCT
fumecheng-4792	32	17	on	on	ADP
fumecheng-4792	32	18	a	a	DET
fumecheng-4792	32	19	sectioned	section	VERB
fumecheng-4792	32	20	rolls	roll	NOUN
fumecheng-4792	32	21	-	-	PUNCT
fumecheng-4792	32	22	royce	royce	PROPN
fumecheng-4792	32	23	turboméca	turboméca	PROPN
fumecheng-4792	32	24	adour	adour	PROPN
fumecheng-4792	32	25	turbofan	turbofan	PROPN
fumecheng-4792	32	26	,	,	PUNCT
fumecheng-4792	32	27	an	an	DET
fumecheng-4792	32	28	engine	engine	NOUN
fumecheng-4792	32	29	powering	power	VERB
fumecheng-4792	32	30	for	for	ADP
fumecheng-4792	32	31	example	example	NOUN
fumecheng-4792	32	32	the	the	DET
fumecheng-4792	32	33	mcdonnell	mcdonnell	PROPN
fumecheng-4792	32	34	douglas	douglas	PROPN
fumecheng-4792	32	35	t-45	t-45	ADP
fumecheng-4792	32	36	goshawk	goshawk	NOUN
fumecheng-4792	32	37	aircraft	aircraft	NOUN
fumecheng-4792	32	38	.	.	PUNCT
fumecheng-4792	33	1	image	image	NOUN
fumecheng-4792	33	2	:	:	PUNCT
fumecheng-4792	33	3	cleynen	cleynen	NOUN
fumecheng-4792	34	1	[	[	X
fumecheng-4792	34	2	10	10	NUM
fumecheng-4792	34	3	]	]	X
fumecheng-4792	34	4	fir	fir	ADJ
fumecheng-4792	34	5	-	-	PUNCT
fumecheng-4792	34	6	tree	tree	NOUN
fumecheng-4792	34	7	connections	connection	NOUN
fumecheng-4792	34	8	generally	generally	ADV
fumecheng-4792	34	9	require	require	VERB
fumecheng-4792	34	10	a	a	DET
fumecheng-4792	34	11	computationally	computationally	ADV
fumecheng-4792	34	12	expensive	expensive	ADJ
fumecheng-4792	34	13	finite	finite	ADJ
fumecheng-4792	34	14	element	element	NOUN
fumecheng-4792	34	15	setup	setup	NOUN
fumecheng-4792	34	16	.	.	PUNCT
fumecheng-4792	35	1	their	their	PRON
fumecheng-4792	35	2	highly	highly	ADV
fumecheng-4792	35	3	undulating	undulate	VERB
fumecheng-4792	35	4	surfaces	surface	NOUN
fumecheng-4792	35	5	and	and	CCONJ
fumecheng-4792	35	6	other	other	ADJ
fumecheng-4792	35	7	complex	complex	ADJ
fumecheng-4792	35	8	geometrical	geometrical	ADJ
fumecheng-4792	35	9	elements	element	NOUN
fumecheng-4792	35	10	in	in	ADP
fumecheng-4792	35	11	close	close	ADJ
fumecheng-4792	35	12	proximity	proximity	NOUN
fumecheng-4792	35	13	to	to	ADP
fumecheng-4792	35	14	the	the	DET
fumecheng-4792	35	15	contact	contact	NOUN
fumecheng-4792	35	16	region	region	NOUN
fumecheng-4792	35	17	make	make	VERB
fumecheng-4792	35	18	the	the	DET
fumecheng-4792	35	19	application	application	NOUN
fumecheng-4792	35	20	of	of	ADP
fumecheng-4792	35	21	the	the	DET
fumecheng-4792	35	22	half	half	ADJ
fumecheng-4792	35	23	-	-	PUNCT
fumecheng-4792	35	24	space	space	NOUN
fumecheng-4792	35	25	theory	theory	NOUN
fumecheng-4792	35	26	a	a	DET
fumecheng-4792	35	27	challenge	challenge	NOUN
fumecheng-4792	35	28	.	.	PUNCT
fumecheng-4792	36	1	in	in	ADP
fumecheng-4792	36	2	this	this	DET
fumecheng-4792	36	3	study	study	NOUN
fumecheng-4792	36	4	,	,	PUNCT
fumecheng-4792	36	5	we	we	PRON
fumecheng-4792	36	6	closely	closely	ADV
fumecheng-4792	36	7	examine	examine	VERB
fumecheng-4792	36	8	the	the	DET
fumecheng-4792	36	9	application	application	NOUN
fumecheng-4792	36	10	range	range	NOUN
fumecheng-4792	36	11	of	of	ADP
fumecheng-4792	36	12	the	the	DET
fumecheng-4792	36	13	mdr	mdr	PROPN
fumecheng-4792	36	14	and	and	CCONJ
fumecheng-4792	36	15	the	the	DET
fumecheng-4792	36	16	fft	fft	PROPN
fumecheng-4792	36	17	-	-	PUNCT
fumecheng-4792	36	18	based	base	VERB
fumecheng-4792	36	19	bem	bem	NOUN
fumecheng-4792	36	20	beyond	beyond	ADP
fumecheng-4792	36	21	the	the	DET
fumecheng-4792	36	22	numerical	numerical	ADJ
fumecheng-4792	36	23	methods	method	NOUN
fumecheng-4792	36	24	for	for	ADP
fumecheng-4792	36	25	simulation	simulation	NOUN
fumecheng-4792	36	26	of	of	ADP
fumecheng-4792	36	27	deformations	deformation	NOUN
fumecheng-4792	36	28	and	and	CCONJ
fumecheng-4792	36	29	stresses	stress	NOUN
fumecheng-4792	36	30	in	in	ADP
fumecheng-4792	36	31	turbine	turbine	NOUN
fumecheng-4792	36	32	blade	blade	NOUN
fumecheng-4792	36	33	fir	fir	NOUN
fumecheng-4792	36	34	-	-	PUNCT
fumecheng-4792	36	35	tree	tree	NOUN
fumecheng-4792	36	36	connections	connection	NOUN
fumecheng-4792	36	37	3	3	NUM
fumecheng-4792	36	38	half	half	ADJ
fumecheng-4792	36	39	-	-	PUNCT
fumecheng-4792	36	40	space	space	NOUN
fumecheng-4792	36	41	approximation	approximation	NOUN
fumecheng-4792	36	42	.	.	PUNCT
fumecheng-4792	37	1	we	we	PRON
fumecheng-4792	37	2	also	also	ADV
fumecheng-4792	37	3	discuss	discuss	VERB
fumecheng-4792	37	4	ways	way	NOUN
fumecheng-4792	37	5	of	of	ADP
fumecheng-4792	37	6	extending	extend	VERB
fumecheng-4792	37	7	the	the	DET
fumecheng-4792	37	8	methods	method	NOUN
fumecheng-4792	37	9	so	so	SCONJ
fumecheng-4792	37	10	as	as	SCONJ
fumecheng-4792	37	11	to	to	PART
fumecheng-4792	37	12	apply	apply	VERB
fumecheng-4792	37	13	them	they	PRON
fumecheng-4792	37	14	to	to	ADP
fumecheng-4792	37	15	the	the	DET
fumecheng-4792	37	16	particular	particular	ADJ
fumecheng-4792	37	17	problem	problem	NOUN
fumecheng-4792	37	18	of	of	ADP
fumecheng-4792	37	19	the	the	DET
fumecheng-4792	37	20	complex	complex	ADJ
fumecheng-4792	37	21	geometry	geometry	NOUN
fumecheng-4792	37	22	of	of	ADP
fumecheng-4792	37	23	the	the	DET
fumecheng-4792	37	24	fir	fir	NOUN
fumecheng-4792	37	25	-	-	PUNCT
fumecheng-4792	37	26	tree	tree	NOUN
fumecheng-4792	37	27	connection	connection	NOUN
fumecheng-4792	37	28	.	.	PUNCT
fumecheng-4792	38	1	fig	fig	NOUN
fumecheng-4792	38	2	.	.	PUNCT
fumecheng-4792	39	1	3	3	NUM
fumecheng-4792	39	2	a	a	DET
fumecheng-4792	39	3	worn	worn	ADJ
fumecheng-4792	39	4	fir	fir	NOUN
fumecheng-4792	39	5	-	-	PUNCT
fumecheng-4792	39	6	tree	tree	NOUN
fumecheng-4792	39	7	connection	connection	NOUN
fumecheng-4792	39	8	on	on	ADP
fumecheng-4792	39	9	the	the	DET
fumecheng-4792	39	10	disk	disk	NOUN
fumecheng-4792	39	11	of	of	ADP
fumecheng-4792	39	12	an	an	DET
fumecheng-4792	39	13	aircraft	aircraft	NOUN
fumecheng-4792	39	14	turbine	turbine	NOUN
fumecheng-4792	39	15	.	.	PUNCT
fumecheng-4792	40	1	image	image	NOUN
fumecheng-4792	40	2	used	use	VERB
fumecheng-4792	40	3	with	with	ADP
fumecheng-4792	40	4	the	the	DET
fumecheng-4792	40	5	kind	kind	ADJ
fumecheng-4792	40	6	permission	permission	NOUN
fumecheng-4792	40	7	of	of	ADP
fumecheng-4792	40	8	rolls	roll	NOUN
fumecheng-4792	40	9	-	-	PUNCT
fumecheng-4792	40	10	royce	royce	NOUN
fumecheng-4792	40	11	the	the	DET
fumecheng-4792	40	12	parts	part	NOUN
fumecheng-4792	40	13	of	of	ADP
fumecheng-4792	40	14	this	this	DET
fumecheng-4792	40	15	work	work	NOUN
fumecheng-4792	40	16	are	be	AUX
fumecheng-4792	40	17	organized	organize	VERB
fumecheng-4792	40	18	as	as	SCONJ
fumecheng-4792	40	19	follows	follow	VERB
fumecheng-4792	40	20	:	:	PUNCT
fumecheng-4792	40	21	we	we	PRON
fumecheng-4792	40	22	first	first	ADV
fumecheng-4792	40	23	discuss	discuss	VERB
fumecheng-4792	40	24	the	the	DET
fumecheng-4792	40	25	mdr	mdr	PROPN
fumecheng-4792	40	26	and	and	CCONJ
fumecheng-4792	40	27	show	show	VERB
fumecheng-4792	40	28	results	result	NOUN
fumecheng-4792	40	29	of	of	ADP
fumecheng-4792	40	30	its	its	PRON
fumecheng-4792	40	31	application	application	NOUN
fumecheng-4792	40	32	on	on	ADP
fumecheng-4792	40	33	a	a	DET
fumecheng-4792	40	34	simplified	simplified	ADJ
fumecheng-4792	40	35	fir	fir	NOUN
fumecheng-4792	40	36	-	-	PUNCT
fumecheng-4792	40	37	tree	tree	NOUN
fumecheng-4792	40	38	model	model	NOUN
fumecheng-4792	40	39	.	.	PUNCT
fumecheng-4792	41	1	likewise	likewise	ADV
fumecheng-4792	41	2	,	,	PUNCT
fumecheng-4792	41	3	the	the	DET
fumecheng-4792	41	4	results	result	NOUN
fumecheng-4792	41	5	of	of	ADP
fumecheng-4792	41	6	a	a	DET
fumecheng-4792	41	7	finite	finite	ADJ
fumecheng-4792	41	8	element	element	NOUN
fumecheng-4792	41	9	simulation	simulation	NOUN
fumecheng-4792	41	10	of	of	ADP
fumecheng-4792	41	11	the	the	DET
fumecheng-4792	41	12	same	same	ADJ
fumecheng-4792	41	13	setup	setup	NOUN
fumecheng-4792	41	14	are	be	AUX
fumecheng-4792	41	15	shown	show	VERB
fumecheng-4792	41	16	.	.	PUNCT
fumecheng-4792	42	1	the	the	DET
fumecheng-4792	42	2	findings	finding	NOUN
fumecheng-4792	42	3	of	of	ADP
fumecheng-4792	42	4	both	both	DET
fumecheng-4792	42	5	methods	method	NOUN
fumecheng-4792	42	6	are	be	AUX
fumecheng-4792	42	7	compared	compare	VERB
fumecheng-4792	42	8	on	on	ADP
fumecheng-4792	42	9	a	a	DET
fumecheng-4792	42	10	qualitative	qualitative	ADJ
fumecheng-4792	42	11	level	level	NOUN
fumecheng-4792	42	12	.	.	PUNCT
fumecheng-4792	43	1	we	we	PRON
fumecheng-4792	43	2	then	then	ADV
fumecheng-4792	43	3	turn	turn	VERB
fumecheng-4792	43	4	to	to	ADP
fumecheng-4792	43	5	the	the	DET
fumecheng-4792	43	6	fft	fft	PROPN
fumecheng-4792	43	7	-	-	PUNCT
fumecheng-4792	43	8	based	base	VERB
fumecheng-4792	43	9	bem	bem	NOUN
fumecheng-4792	43	10	in	in	ADP
fumecheng-4792	43	11	its	its	PRON
fumecheng-4792	43	12	well	well	ADV
fumecheng-4792	43	13	-	-	PUNCT
fumecheng-4792	43	14	known	know	VERB
fumecheng-4792	43	15	and	and	CCONJ
fumecheng-4792	43	16	established	establish	VERB
fumecheng-4792	43	17	form	form	NOUN
fumecheng-4792	43	18	for	for	ADP
fumecheng-4792	43	19	the	the	DET
fumecheng-4792	43	20	half	half	ADJ
fumecheng-4792	43	21	-	-	PUNCT
fumecheng-4792	43	22	space	space	NOUN
fumecheng-4792	43	23	,	,	PUNCT
fumecheng-4792	43	24	propose	propose	VERB
fumecheng-4792	43	25	slight	slight	ADJ
fumecheng-4792	43	26	additions	addition	NOUN
fumecheng-4792	43	27	to	to	ADP
fumecheng-4792	43	28	the	the	DET
fumecheng-4792	43	29	method	method	NOUN
fumecheng-4792	43	30	and	and	CCONJ
fumecheng-4792	43	31	apply	apply	VERB
fumecheng-4792	43	32	it	it	PRON
fumecheng-4792	43	33	to	to	ADP
fumecheng-4792	43	34	a	a	DET
fumecheng-4792	43	35	fir	fir	NOUN
fumecheng-4792	43	36	-	-	PUNCT
fumecheng-4792	43	37	tree	tree	NOUN
fumecheng-4792	43	38	model	model	NOUN
fumecheng-4792	43	39	.	.	PUNCT
fumecheng-4792	44	1	again	again	ADV
fumecheng-4792	44	2	,	,	PUNCT
fumecheng-4792	44	3	the	the	DET
fumecheng-4792	44	4	results	result	NOUN
fumecheng-4792	44	5	are	be	AUX
fumecheng-4792	44	6	compared	compare	VERB
fumecheng-4792	44	7	on	on	ADP
fumecheng-4792	44	8	a	a	DET
fumecheng-4792	44	9	rough	rough	ADJ
fumecheng-4792	44	10	qualitative	qualitative	ADJ
fumecheng-4792	44	11	level	level	NOUN
fumecheng-4792	44	12	to	to	PART
fumecheng-4792	44	13	finite	finite	VERB
fumecheng-4792	44	14	element	element	NOUN
fumecheng-4792	44	15	results	result	NOUN
fumecheng-4792	44	16	.	.	PUNCT
fumecheng-4792	45	1	in	in	ADP
fumecheng-4792	45	2	the	the	DET
fumecheng-4792	45	3	last	last	ADJ
fumecheng-4792	45	4	main	main	ADJ
fumecheng-4792	45	5	section	section	NOUN
fumecheng-4792	45	6	of	of	ADP
fumecheng-4792	45	7	this	this	DET
fumecheng-4792	45	8	paper	paper	NOUN
fumecheng-4792	45	9	,	,	PUNCT
fumecheng-4792	45	10	we	we	PRON
fumecheng-4792	45	11	build	build	VERB
fumecheng-4792	45	12	on	on	ADP
fumecheng-4792	45	13	two	two	NUM
fumecheng-4792	45	14	recent	recent	ADJ
fumecheng-4792	45	15	studies	study	NOUN
fumecheng-4792	45	16	[	[	X
fumecheng-4792	45	17	11	11	NUM
fumecheng-4792	45	18	]	]	PUNCT
fumecheng-4792	45	19	and	and	CCONJ
fumecheng-4792	45	20	[	[	X
fumecheng-4792	45	21	12	12	NUM
fumecheng-4792	45	22	]	]	PUNCT
fumecheng-4792	45	23	,	,	PUNCT
fumecheng-4792	45	24	where	where	SCONJ
fumecheng-4792	45	25	the	the	DET
fumecheng-4792	45	26	fft	fft	PROPN
fumecheng-4792	45	27	-	-	PUNCT
fumecheng-4792	45	28	based	base	VERB
fumecheng-4792	45	29	bem	bem	PROPN
fumecheng-4792	45	30	is	be	AUX
fumecheng-4792	45	31	performed	perform	VERB
fumecheng-4792	45	32	for	for	ADP
fumecheng-4792	45	33	completely	completely	ADV
fumecheng-4792	45	34	arbitrary	arbitrary	ADJ
fumecheng-4792	45	35	shapes	shape	NOUN
fumecheng-4792	45	36	.	.	PUNCT
fumecheng-4792	46	1	we	we	PRON
fumecheng-4792	46	2	present	present	VERB
fumecheng-4792	46	3	exemplary	exemplary	ADJ
fumecheng-4792	46	4	results	result	NOUN
fumecheng-4792	46	5	of	of	ADP
fumecheng-4792	46	6	this	this	DET
fumecheng-4792	46	7	technique	technique	NOUN
fumecheng-4792	46	8	for	for	ADP
fumecheng-4792	46	9	the	the	DET
fumecheng-4792	46	10	two	two	NUM
fumecheng-4792	46	11	-	-	PUNCT
fumecheng-4792	46	12	dimensional	dimensional	ADJ
fumecheng-4792	46	13	navier	navier	NOUN
fumecheng-4792	46	14	equation	equation	NOUN
fumecheng-4792	46	15	.	.	PUNCT
fumecheng-4792	47	1	at	at	ADP
fumecheng-4792	47	2	the	the	DET
fumecheng-4792	47	3	end	end	NOUN
fumecheng-4792	47	4	of	of	ADP
fumecheng-4792	47	5	this	this	DET
fumecheng-4792	47	6	work	work	NOUN
fumecheng-4792	47	7	,	,	PUNCT
fumecheng-4792	47	8	the	the	DET
fumecheng-4792	47	9	main	main	ADJ
fumecheng-4792	47	10	findings	finding	NOUN
fumecheng-4792	47	11	are	be	AUX
fumecheng-4792	47	12	summarized	summarize	VERB
fumecheng-4792	47	13	in	in	ADP
fumecheng-4792	47	14	a	a	DET
fumecheng-4792	47	15	conclusion	conclusion	NOUN
fumecheng-4792	47	16	.	.	PUNCT
fumecheng-4792	48	1	a	a	DET
fumecheng-4792	48	2	)	)	PUNCT
fumecheng-4792	48	3	b	b	NOUN
fumecheng-4792	48	4	)	)	PUNCT
fumecheng-4792	48	5	fig	fig	NOUN
fumecheng-4792	48	6	.	.	PUNCT
fumecheng-4792	49	1	4	4	NUM
fumecheng-4792	49	2	example	example	NOUN
fumecheng-4792	49	3	for	for	ADP
fumecheng-4792	49	4	the	the	DET
fumecheng-4792	49	5	damage	damage	NOUN
fumecheng-4792	49	6	caused	cause	VERB
fumecheng-4792	49	7	by	by	ADP
fumecheng-4792	49	8	an	an	DET
fumecheng-4792	49	9	uncontained	uncontained	ADJ
fumecheng-4792	49	10	engine	engine	NOUN
fumecheng-4792	49	11	rotor	rotor	NOUN
fumecheng-4792	49	12	failure	failure	NOUN
fumecheng-4792	49	13	.	.	PUNCT
fumecheng-4792	50	1	a	a	DET
fumecheng-4792	50	2	)	)	PUNCT
fumecheng-4792	50	3	general	general	ADJ
fumecheng-4792	50	4	damage	damage	NOUN
fumecheng-4792	50	5	to	to	ADP
fumecheng-4792	50	6	the	the	DET
fumecheng-4792	50	7	engine	engine	NOUN
fumecheng-4792	50	8	,	,	PUNCT
fumecheng-4792	50	9	b	b	X
fumecheng-4792	50	10	)	)	PUNCT
fumecheng-4792	50	11	example	example	NOUN
fumecheng-4792	50	12	of	of	ADP
fumecheng-4792	50	13	internal	internal	ADJ
fumecheng-4792	50	14	damage	damage	NOUN
fumecheng-4792	50	15	to	to	ADP
fumecheng-4792	50	16	the	the	DET
fumecheng-4792	50	17	left	left	ADJ
fumecheng-4792	50	18	wing	wing	NOUN
fumecheng-4792	50	19	.	.	PUNCT
fumecheng-4792	51	1	images	image	NOUN
fumecheng-4792	51	2	:	:	PUNCT
fumecheng-4792	51	3	australian	australian	ADJ
fumecheng-4792	51	4	transport	transport	NOUN
fumecheng-4792	51	5	safety	safety	PROPN
fumecheng-4792	51	6	bureau	bureau	PROPN
fumecheng-4792	51	7	,	,	PUNCT
fumecheng-4792	51	8	safety	safety	NOUN
fumecheng-4792	51	9	report	report	NOUN
fumecheng-4792	51	10	,	,	PUNCT
fumecheng-4792	51	11	aviation	aviation	NOUN
fumecheng-4792	51	12	occurrence	occurrence	NOUN
fumecheng-4792	51	13	investigation	investigation	NOUN
fumecheng-4792	51	14	:	:	PUNCT
fumecheng-4792	51	15	in	in	ADP
fumecheng-4792	51	16	-	-	PUNCT
fumecheng-4792	51	17	flight	flight	NOUN
fumecheng-4792	51	18	uncontained	uncontained	ADJ
fumecheng-4792	51	19	engine	engine	NOUN
fumecheng-4792	51	20	failure	failure	NOUN
fumecheng-4792	51	21	overhead	overhead	ADJ
fumecheng-4792	51	22	batam	batam	PROPN
fumecheng-4792	51	23	island	island	PROPN
fumecheng-4792	51	24	,	,	PUNCT
fumecheng-4792	51	25	indonesia	indonesia	PROPN
fumecheng-4792	51	26	,	,	PUNCT
fumecheng-4792	51	27	4	4	NUM
fumecheng-4792	51	28	.	.	PUNCT
fumecheng-4792	51	29	november	november	PROPN
fumecheng-4792	51	30	2010	2010	NUM
fumecheng-4792	51	31	,	,	PUNCT
fumecheng-4792	51	32	airbus	airbus	PROPN
fumecheng-4792	51	33	a380	a380	PROPN
fumecheng-4792	51	34	-	-	SYM
fumecheng-4792	51	35	842	842	NUM
fumecheng-4792	51	36	[	[	X
fumecheng-4792	51	37	13	13	NUM
fumecheng-4792	51	38	]	]	SYM
fumecheng-4792	51	39	4	4	NUM
fumecheng-4792	51	40	j.	j.	PROPN
fumecheng-4792	51	41	benad	benad	PROPN
fumecheng-4792	51	42	2	2	NUM
fumecheng-4792	51	43	.	.	PUNCT
fumecheng-4792	51	44	method	method	NOUN
fumecheng-4792	51	45	of	of	ADP
fumecheng-4792	51	46	dimensionality	dimensionality	NOUN
fumecheng-4792	51	47	reduction	reduction	NOUN
fumecheng-4792	51	48	(	(	PUNCT
fumecheng-4792	51	49	mdr	mdr	PROPN
fumecheng-4792	51	50	)	)	PUNCT
fumecheng-4792	51	51	the	the	DET
fumecheng-4792	51	52	mdr	mdr	PROPN
fumecheng-4792	51	53	is	be	AUX
fumecheng-4792	51	54	an	an	DET
fumecheng-4792	51	55	efficient	efficient	ADJ
fumecheng-4792	51	56	tool	tool	NOUN
fumecheng-4792	51	57	for	for	ADP
fumecheng-4792	51	58	calculating	calculate	VERB
fumecheng-4792	51	59	surface	surface	NOUN
fumecheng-4792	51	60	deformations	deformation	NOUN
fumecheng-4792	51	61	and	and	CCONJ
fumecheng-4792	51	62	stresses	stress	NOUN
fumecheng-4792	51	63	of	of	ADP
fumecheng-4792	51	64	elastic	elastic	ADJ
fumecheng-4792	51	65	or	or	CCONJ
fumecheng-4792	51	66	viscoelastic	viscoelastic	NOUN
fumecheng-4792	51	67	bodies	body	NOUN
fumecheng-4792	51	68	which	which	PRON
fumecheng-4792	51	69	are	be	AUX
fumecheng-4792	51	70	brought	bring	VERB
fumecheng-4792	51	71	into	into	ADP
fumecheng-4792	51	72	contact	contact	NOUN
fumecheng-4792	51	73	.	.	PUNCT
fumecheng-4792	52	1	the	the	DET
fumecheng-4792	52	2	method	method	NOUN
fumecheng-4792	52	3	was	be	AUX
fumecheng-4792	52	4	first	first	ADV
fumecheng-4792	52	5	proposed	propose	VERB
fumecheng-4792	52	6	in	in	ADP
fumecheng-4792	52	7	2007	2007	NUM
fumecheng-4792	52	8	[	[	X
fumecheng-4792	52	9	14	14	NUM
fumecheng-4792	52	10	]	]	PUNCT
fumecheng-4792	52	11	and	and	CCONJ
fumecheng-4792	52	12	has	have	AUX
fumecheng-4792	52	13	since	since	SCONJ
fumecheng-4792	52	14	developed	develop	VERB
fumecheng-4792	52	15	to	to	PART
fumecheng-4792	52	16	become	become	VERB
fumecheng-4792	52	17	a	a	DET
fumecheng-4792	52	18	standard	standard	ADJ
fumecheng-4792	52	19	tool	tool	NOUN
fumecheng-4792	52	20	in	in	ADP
fumecheng-4792	52	21	contact	contact	NOUN
fumecheng-4792	52	22	mechanics	mechanic	NOUN
fumecheng-4792	52	23	[	[	X
fumecheng-4792	52	24	4	4	NUM
fumecheng-4792	52	25	]	]	PUNCT
fumecheng-4792	52	26	,	,	PUNCT
fumecheng-4792	52	27	[	[	X
fumecheng-4792	52	28	15	15	NUM
fumecheng-4792	52	29	]	]	PUNCT
fumecheng-4792	52	30	.	.	PUNCT
fumecheng-4792	53	1	the	the	DET
fumecheng-4792	53	2	technique	technique	NOUN
fumecheng-4792	53	3	is	be	AUX
fumecheng-4792	53	4	particularly	particularly	ADV
fumecheng-4792	53	5	easy	easy	ADJ
fumecheng-4792	53	6	to	to	PART
fumecheng-4792	53	7	apply	apply	VERB
fumecheng-4792	53	8	for	for	ADP
fumecheng-4792	53	9	axially	axially	ADV
fumecheng-4792	53	10	-	-	PUNCT
fumecheng-4792	53	11	symmetric	symmetric	ADJ
fumecheng-4792	53	12	contacts	contact	NOUN
fumecheng-4792	53	13	and	and	CCONJ
fumecheng-4792	53	14	is	be	AUX
fumecheng-4792	53	15	generally	generally	ADV
fumecheng-4792	53	16	used	use	VERB
fumecheng-4792	53	17	within	within	ADP
fumecheng-4792	53	18	the	the	DET
fumecheng-4792	53	19	framework	framework	NOUN
fumecheng-4792	53	20	of	of	ADP
fumecheng-4792	53	21	the	the	DET
fumecheng-4792	53	22	half	half	ADJ
fumecheng-4792	53	23	-	-	PUNCT
fumecheng-4792	53	24	space	space	NOUN
fumecheng-4792	53	25	approximation	approximation	NOUN
fumecheng-4792	53	26	[	[	X
fumecheng-4792	53	27	6	6	NUM
fumecheng-4792	53	28	]	]	PUNCT
fumecheng-4792	53	29	.	.	PUNCT
fumecheng-4792	54	1	the	the	DET
fumecheng-4792	54	2	mdr	mdr	PROPN
fumecheng-4792	54	3	maps	map	VERB
fumecheng-4792	54	4	a	a	DET
fumecheng-4792	54	5	three	three	NUM
fumecheng-4792	54	6	-	-	PUNCT
fumecheng-4792	54	7	dimensional	dimensional	ADJ
fumecheng-4792	54	8	contact	contact	NOUN
fumecheng-4792	54	9	to	to	ADP
fumecheng-4792	54	10	an	an	DET
fumecheng-4792	54	11	equivalent	equivalent	ADJ
fumecheng-4792	54	12	contact	contact	NOUN
fumecheng-4792	54	13	of	of	ADP
fumecheng-4792	54	14	a	a	DET
fumecheng-4792	54	15	transformed	transform	VERB
fumecheng-4792	54	16	profile	profile	NOUN
fumecheng-4792	54	17	with	with	ADP
fumecheng-4792	54	18	a	a	DET
fumecheng-4792	54	19	one	one	NUM
fumecheng-4792	54	20	-	-	PUNCT
fumecheng-4792	54	21	dimensional	dimensional	ADJ
fumecheng-4792	54	22	foundation	foundation	NOUN
fumecheng-4792	54	23	of	of	ADP
fumecheng-4792	54	24	independent	independent	ADJ
fumecheng-4792	54	25	elastic	elastic	ADJ
fumecheng-4792	54	26	or	or	CCONJ
fumecheng-4792	54	27	viscoelastic	viscoelastic	ADJ
fumecheng-4792	54	28	elements	element	NOUN
fumecheng-4792	54	29	.	.	PUNCT
fumecheng-4792	55	1	from	from	ADP
fumecheng-4792	55	2	a	a	DET
fumecheng-4792	55	3	numerical	numerical	ADJ
fumecheng-4792	55	4	perspective	perspective	NOUN
fumecheng-4792	55	5	,	,	PUNCT
fumecheng-4792	55	6	such	such	DET
fumecheng-4792	55	7	a	a	DET
fumecheng-4792	55	8	method	method	NOUN
fumecheng-4792	55	9	is	be	AUX
fumecheng-4792	55	10	very	very	ADV
fumecheng-4792	55	11	appealing	appealing	ADJ
fumecheng-4792	55	12	.	.	PUNCT
fumecheng-4792	56	1	first	first	ADV
fumecheng-4792	56	2	,	,	PUNCT
fumecheng-4792	56	3	this	this	PRON
fumecheng-4792	56	4	is	be	AUX
fumecheng-4792	56	5	due	due	ADJ
fumecheng-4792	56	6	to	to	ADP
fumecheng-4792	56	7	a	a	DET
fumecheng-4792	56	8	very	very	ADV
fumecheng-4792	56	9	low	low	ADJ
fumecheng-4792	56	10	number	number	NOUN
fumecheng-4792	56	11	of	of	ADP
fumecheng-4792	56	12	the	the	DET
fumecheng-4792	56	13	degrees	degree	NOUN
fumecheng-4792	56	14	of	of	ADP
fumecheng-4792	56	15	freedom	freedom	NOUN
fumecheng-4792	56	16	,	,	PUNCT
fumecheng-4792	56	17	and	and	CCONJ
fumecheng-4792	56	18	second	second	ADJ
fumecheng-4792	56	19	,	,	PUNCT
fumecheng-4792	56	20	it	it	PRON
fumecheng-4792	56	21	is	be	AUX
fumecheng-4792	56	22	because	because	SCONJ
fumecheng-4792	56	23	the	the	DET
fumecheng-4792	56	24	degrees	degree	NOUN
fumecheng-4792	56	25	of	of	ADP
fumecheng-4792	56	26	freedom	freedom	NOUN
fumecheng-4792	56	27	are	be	AUX
fumecheng-4792	56	28	decoupled	decouple	VERB
fumecheng-4792	56	29	,	,	PUNCT
fumecheng-4792	56	30	which	which	PRON
fumecheng-4792	56	31	eliminates	eliminate	VERB
fumecheng-4792	56	32	the	the	DET
fumecheng-4792	56	33	need	need	NOUN
fumecheng-4792	56	34	for	for	ADP
fumecheng-4792	56	35	iterations	iteration	NOUN
fumecheng-4792	56	36	within	within	ADP
fumecheng-4792	56	37	the	the	DET
fumecheng-4792	56	38	mdr	mdr	PROPN
fumecheng-4792	56	39	domain	domain	NOUN
fumecheng-4792	56	40	.	.	PUNCT
fumecheng-4792	57	1	the	the	DET
fumecheng-4792	57	2	transformations	transformation	NOUN
fumecheng-4792	57	3	to	to	ADP
fumecheng-4792	57	4	the	the	DET
fumecheng-4792	57	5	mdr	mdr	PROPN
fumecheng-4792	57	6	domain	domain	NOUN
fumecheng-4792	57	7	and	and	CCONJ
fumecheng-4792	57	8	back	back	ADV
fumecheng-4792	57	9	can	can	AUX
fumecheng-4792	57	10	also	also	ADV
fumecheng-4792	57	11	be	be	AUX
fumecheng-4792	57	12	performed	perform	VERB
fumecheng-4792	57	13	rapidly	rapidly	ADV
fumecheng-4792	57	14	with	with	ADP
fumecheng-4792	57	15	an	an	DET
fumecheng-4792	57	16	order	order	NOUN
fumecheng-4792	57	17	of	of	ADP
fumecheng-4792	57	18	computational	computational	ADJ
fumecheng-4792	57	19	complexity	complexity	NOUN
fumecheng-4792	57	20	which	which	PRON
fumecheng-4792	57	21	does	do	AUX
fumecheng-4792	57	22	not	not	PART
fumecheng-4792	57	23	exceed	exceed	VERB
fumecheng-4792	57	24	the	the	DET
fumecheng-4792	57	25	order	order	NOUN
fumecheng-4792	57	26	of	of	ADP
fumecheng-4792	57	27	the	the	DET
fumecheng-4792	57	28	number	number	NOUN
fumecheng-4792	57	29	of	of	ADP
fumecheng-4792	57	30	discretization	discretization	NOUN
fumecheng-4792	57	31	points	point	NOUN
fumecheng-4792	57	32	of	of	ADP
fumecheng-4792	57	33	the	the	DET
fumecheng-4792	57	34	one	one	NUM
fumecheng-4792	57	35	-	-	PUNCT
fumecheng-4792	57	36	dimensional	dimensional	ADJ
fumecheng-4792	57	37	profile	profile	NOUN
fumecheng-4792	57	38	.	.	PUNCT
fumecheng-4792	58	1	therefore	therefore	ADV
fumecheng-4792	58	2	,	,	PUNCT
fumecheng-4792	58	3	the	the	DET
fumecheng-4792	58	4	mdr	mdr	PROPN
fumecheng-4792	58	5	is	be	AUX
fumecheng-4792	58	6	well	well	ADV
fumecheng-4792	58	7	suited	suited	ADJ
fumecheng-4792	58	8	for	for	ADP
fumecheng-4792	58	9	demanding	demand	VERB
fumecheng-4792	58	10	wear	wear	NOUN
fumecheng-4792	58	11	simulations	simulation	NOUN
fumecheng-4792	58	12	,	,	PUNCT
fumecheng-4792	58	13	which	which	PRON
fumecheng-4792	58	14	require	require	VERB
fumecheng-4792	58	15	an	an	DET
fumecheng-4792	58	16	underlying	underlie	VERB
fumecheng-4792	58	17	highly	highly	ADV
fumecheng-4792	58	18	efficient	efficient	ADJ
fumecheng-4792	58	19	method	method	NOUN
fumecheng-4792	58	20	to	to	PART
fumecheng-4792	58	21	obtain	obtain	VERB
fumecheng-4792	58	22	the	the	DET
fumecheng-4792	58	23	deformations	deformation	NOUN
fumecheng-4792	58	24	and	and	CCONJ
fumecheng-4792	58	25	stresses	stress	NOUN
fumecheng-4792	58	26	.	.	PUNCT
fumecheng-4792	59	1	this	this	DET
fumecheng-4792	59	2	procedure	procedure	NOUN
fumecheng-4792	59	3	has	have	AUX
fumecheng-4792	59	4	been	be	AUX
fumecheng-4792	59	5	successfully	successfully	ADV
fumecheng-4792	59	6	implemented	implement	VERB
fumecheng-4792	59	7	in	in	ADP
fumecheng-4792	59	8	the	the	DET
fumecheng-4792	59	9	past	past	NOUN
fumecheng-4792	59	10	,	,	PUNCT
fumecheng-4792	59	11	for	for	ADP
fumecheng-4792	59	12	example	example	NOUN
fumecheng-4792	59	13	,	,	PUNCT
fumecheng-4792	59	14	for	for	ADP
fumecheng-4792	59	15	high	high	ADJ
fumecheng-4792	59	16	-	-	PUNCT
fumecheng-4792	59	17	resolution	resolution	NOUN
fumecheng-4792	59	18	simulations	simulation	NOUN
fumecheng-4792	59	19	of	of	ADP
fumecheng-4792	59	20	gross	gross	ADJ
fumecheng-4792	59	21	slip	slip	NOUN
fumecheng-4792	59	22	wear	wear	VERB
fumecheng-4792	59	23	[	[	X
fumecheng-4792	59	24	7	7	NUM
fumecheng-4792	59	25	]	]	PUNCT
fumecheng-4792	59	26	,	,	PUNCT
fumecheng-4792	59	27	fretting	fret	VERB
fumecheng-4792	59	28	-	-	PUNCT
fumecheng-4792	59	29	wear	wear	NOUN
fumecheng-4792	59	30	[	[	X
fumecheng-4792	59	31	16	16	NUM
fumecheng-4792	59	32	]	]	PUNCT
fumecheng-4792	59	33	,	,	PUNCT
fumecheng-4792	59	34	and	and	CCONJ
fumecheng-4792	59	35	wear	wear	VERB
fumecheng-4792	59	36	analysis	analysis	NOUN
fumecheng-4792	59	37	of	of	ADP
fumecheng-4792	59	38	a	a	DET
fumecheng-4792	59	39	heterogeneous	heterogeneous	ADJ
fumecheng-4792	59	40	material	material	NOUN
fumecheng-4792	59	41	[	[	X
fumecheng-4792	59	42	8	8	NUM
fumecheng-4792	59	43	]	]	PUNCT
fumecheng-4792	59	44	.	.	PUNCT
fumecheng-4792	60	1	fig	fig	NOUN
fumecheng-4792	60	2	.	.	PUNCT
fumecheng-4792	61	1	5	5	NUM
fumecheng-4792	61	2	shows	show	VERB
fumecheng-4792	61	3	a	a	DET
fumecheng-4792	61	4	stage	stage	NOUN
fumecheng-4792	61	5	within	within	ADP
fumecheng-4792	61	6	a	a	DET
fumecheng-4792	61	7	simple	simple	ADJ
fumecheng-4792	61	8	gross	gross	ADJ
fumecheng-4792	61	9	slip	slip	NOUN
fumecheng-4792	61	10	wear	wear	NOUN
fumecheng-4792	61	11	process	process	NOUN
fumecheng-4792	61	12	of	of	ADP
fumecheng-4792	61	13	a	a	DET
fumecheng-4792	61	14	parabolic	parabolic	ADJ
fumecheng-4792	61	15	rigid	rigid	ADJ
fumecheng-4792	61	16	indenter	indenter	NOUN
fumecheng-4792	61	17	with	with	ADP
fumecheng-4792	61	18	a	a	DET
fumecheng-4792	61	19	given	give	VERB
fumecheng-4792	61	20	wear	wear	NOUN
fumecheng-4792	61	21	coefficient	coefficient	NOUN
fumecheng-4792	61	22	.	.	PUNCT
fumecheng-4792	62	1	this	this	DET
fumecheng-4792	62	2	indenter	indenter	NOUN
fumecheng-4792	62	3	is	be	AUX
fumecheng-4792	62	4	pressed	press	VERB
fumecheng-4792	62	5	into	into	ADP
fumecheng-4792	62	6	and	and	CCONJ
fumecheng-4792	62	7	moved	move	VERB
fumecheng-4792	62	8	across	across	ADP
fumecheng-4792	62	9	an	an	DET
fumecheng-4792	62	10	elastic	elastic	ADJ
fumecheng-4792	62	11	half	half	ADJ
fumecheng-4792	62	12	-	-	PUNCT
fumecheng-4792	62	13	space	space	NOUN
fumecheng-4792	62	14	.	.	PUNCT
fumecheng-4792	63	1	also	also	ADV
fumecheng-4792	63	2	shown	show	VERB
fumecheng-4792	63	3	is	be	AUX
fumecheng-4792	63	4	the	the	DET
fumecheng-4792	63	5	pressure	pressure	NOUN
fumecheng-4792	63	6	distribution	distribution	NOUN
fumecheng-4792	63	7	at	at	ADP
fumecheng-4792	63	8	the	the	DET
fumecheng-4792	63	9	given	give	VERB
fumecheng-4792	63	10	stage	stage	NOUN
fumecheng-4792	63	11	.	.	PUNCT
fumecheng-4792	64	1	archard	archard	NOUN
fumecheng-4792	64	2	’s	’s	PART
fumecheng-4792	64	3	law	law	NOUN
fumecheng-4792	64	4	[	[	X
fumecheng-4792	64	5	17	17	NUM
fumecheng-4792	64	6	]	]	PUNCT
fumecheng-4792	64	7	is	be	AUX
fumecheng-4792	64	8	used	use	VERB
fumecheng-4792	64	9	as	as	ADP
fumecheng-4792	64	10	a	a	DET
fumecheng-4792	64	11	wear	wear	NOUN
fumecheng-4792	64	12	model	model	NOUN
fumecheng-4792	64	13	.	.	PUNCT
fumecheng-4792	65	1	in	in	ADP
fumecheng-4792	65	2	order	order	NOUN
fumecheng-4792	65	3	to	to	PART
fumecheng-4792	65	4	obtain	obtain	VERB
fumecheng-4792	65	5	a	a	DET
fumecheng-4792	65	6	stage	stage	NOUN
fumecheng-4792	65	7	in	in	ADP
fumecheng-4792	65	8	the	the	DET
fumecheng-4792	65	9	wear	wear	NOUN
fumecheng-4792	65	10	process	process	NOUN
fumecheng-4792	65	11	such	such	ADJ
fumecheng-4792	65	12	as	as	ADP
fumecheng-4792	65	13	the	the	DET
fumecheng-4792	65	14	one	one	NUM
fumecheng-4792	65	15	displayed	display	VERB
fumecheng-4792	65	16	in	in	ADP
fumecheng-4792	65	17	fig	fig	NOUN
fumecheng-4792	65	18	.	.	PUNCT
fumecheng-4792	66	1	5	5	NUM
fumecheng-4792	66	2	,	,	PUNCT
fumecheng-4792	66	3	the	the	DET
fumecheng-4792	66	4	required	require	VERB
fumecheng-4792	66	5	computational	computational	ADJ
fumecheng-4792	66	6	time	time	NOUN
fumecheng-4792	66	7	is	be	AUX
fumecheng-4792	66	8	only	only	ADV
fumecheng-4792	66	9	a	a	DET
fumecheng-4792	66	10	fraction	fraction	NOUN
fumecheng-4792	66	11	of	of	ADP
fumecheng-4792	66	12	a	a	DET
fumecheng-4792	66	13	second	second	NOUN
fumecheng-4792	66	14	on	on	ADP
fumecheng-4792	66	15	a	a	DET
fumecheng-4792	66	16	small	small	ADJ
fumecheng-4792	66	17	personal	personal	ADJ
fumecheng-4792	66	18	computer	computer	NOUN
fumecheng-4792	66	19	when	when	SCONJ
fumecheng-4792	66	20	the	the	DET
fumecheng-4792	66	21	mdr	mdr	PROPN
fumecheng-4792	66	22	is	be	AUX
fumecheng-4792	66	23	used	use	VERB
fumecheng-4792	66	24	to	to	PART
fumecheng-4792	66	25	calculate	calculate	VERB
fumecheng-4792	66	26	the	the	DET
fumecheng-4792	66	27	deformations	deformation	NOUN
fumecheng-4792	66	28	and	and	CCONJ
fumecheng-4792	66	29	stresses	stress	NOUN
fumecheng-4792	66	30	within	within	ADP
fumecheng-4792	66	31	the	the	DET
fumecheng-4792	66	32	wear	wear	NOUN
fumecheng-4792	66	33	iteration	iteration	NOUN
fumecheng-4792	66	34	.	.	PUNCT
fumecheng-4792	67	1	fig	fig	NOUN
fumecheng-4792	67	2	.	.	PUNCT
fumecheng-4792	68	1	5	5	NUM
fumecheng-4792	68	2	an	an	DET
fumecheng-4792	68	3	exemplary	exemplary	ADJ
fumecheng-4792	68	4	stage	stage	NOUN
fumecheng-4792	68	5	of	of	ADP
fumecheng-4792	68	6	a	a	DET
fumecheng-4792	68	7	simple	simple	ADJ
fumecheng-4792	68	8	gross	gross	ADJ
fumecheng-4792	68	9	slip	slip	NOUN
fumecheng-4792	68	10	wear	wear	NOUN
fumecheng-4792	68	11	process	process	NOUN
fumecheng-4792	68	12	of	of	ADP
fumecheng-4792	68	13	a	a	DET
fumecheng-4792	68	14	parabolic	parabolic	ADJ
fumecheng-4792	68	15	rigid	rigid	ADJ
fumecheng-4792	68	16	indenter	indenter	NOUN
fumecheng-4792	68	17	with	with	ADP
fumecheng-4792	68	18	a	a	DET
fumecheng-4792	68	19	given	give	VERB
fumecheng-4792	68	20	wear	wear	NOUN
fumecheng-4792	68	21	coefficient	coefficient	NOUN
fumecheng-4792	68	22	(	(	PUNCT
fumecheng-4792	68	23	light	light	ADJ
fumecheng-4792	68	24	red	red	ADJ
fumecheng-4792	68	25	upper	upper	ADJ
fumecheng-4792	68	26	shape	shape	NOUN
fumecheng-4792	68	27	enclosed	enclose	VERB
fumecheng-4792	68	28	with	with	ADP
fumecheng-4792	68	29	black	black	ADJ
fumecheng-4792	68	30	dotted	dotted	ADJ
fumecheng-4792	68	31	line	line	NOUN
fumecheng-4792	68	32	)	)	PUNCT
fumecheng-4792	68	33	which	which	PRON
fumecheng-4792	68	34	is	be	AUX
fumecheng-4792	68	35	pressed	press	VERB
fumecheng-4792	68	36	into	into	ADP
fumecheng-4792	68	37	and	and	CCONJ
fumecheng-4792	68	38	moved	move	VERB
fumecheng-4792	68	39	across	across	ADP
fumecheng-4792	68	40	an	an	DET
fumecheng-4792	68	41	elastic	elastic	ADJ
fumecheng-4792	68	42	half	half	ADJ
fumecheng-4792	68	43	-	-	PUNCT
fumecheng-4792	68	44	space	space	NOUN
fumecheng-4792	68	45	(	(	PUNCT
fumecheng-4792	68	46	grey	grey	ADJ
fumecheng-4792	68	47	area	area	NOUN
fumecheng-4792	68	48	with	with	ADP
fumecheng-4792	68	49	green	green	ADJ
fumecheng-4792	68	50	dotted	dotted	ADJ
fumecheng-4792	68	51	line	line	NOUN
fumecheng-4792	68	52	at	at	ADP
fumecheng-4792	68	53	the	the	DET
fumecheng-4792	68	54	surface	surface	NOUN
fumecheng-4792	68	55	,	,	PUNCT
fumecheng-4792	68	56	the	the	DET
fumecheng-4792	68	57	thin	thin	ADJ
fumecheng-4792	68	58	horizontal	horizontal	ADJ
fumecheng-4792	68	59	black	black	ADJ
fumecheng-4792	68	60	line	line	NOUN
fumecheng-4792	68	61	marks	mark	VERB
fumecheng-4792	68	62	the	the	DET
fumecheng-4792	68	63	undisturbed	undisturbed	ADJ
fumecheng-4792	68	64	surface	surface	NOUN
fumecheng-4792	68	65	)	)	PUNCT
fumecheng-4792	68	66	.	.	PUNCT
fumecheng-4792	69	1	at	at	ADP
fumecheng-4792	69	2	the	the	DET
fumecheng-4792	69	3	bottom	bottom	NOUN
fumecheng-4792	69	4	of	of	ADP
fumecheng-4792	69	5	the	the	DET
fumecheng-4792	69	6	image	image	NOUN
fumecheng-4792	69	7	the	the	DET
fumecheng-4792	69	8	form	form	NOUN
fumecheng-4792	69	9	of	of	ADP
fumecheng-4792	69	10	the	the	DET
fumecheng-4792	69	11	pressure	pressure	NOUN
fumecheng-4792	69	12	distribution	distribution	NOUN
fumecheng-4792	69	13	at	at	ADP
fumecheng-4792	69	14	the	the	DET
fumecheng-4792	69	15	given	give	VERB
fumecheng-4792	69	16	stage	stage	NOUN
fumecheng-4792	69	17	is	be	AUX
fumecheng-4792	69	18	shown	show	VERB
fumecheng-4792	69	19	which	which	PRON
fumecheng-4792	69	20	is	be	AUX
fumecheng-4792	69	21	zero	zero	NUM
fumecheng-4792	69	22	outside	outside	ADP
fumecheng-4792	69	23	the	the	DET
fumecheng-4792	69	24	contact	contact	NOUN
fumecheng-4792	69	25	area	area	NOUN
fumecheng-4792	69	26	and	and	CCONJ
fumecheng-4792	69	27	takes	take	VERB
fumecheng-4792	69	28	positive	positive	ADJ
fumecheng-4792	69	29	values	value	NOUN
fumecheng-4792	69	30	within	within	ADP
fumecheng-4792	69	31	the	the	DET
fumecheng-4792	69	32	contact	contact	NOUN
fumecheng-4792	69	33	area	area	NOUN
fumecheng-4792	69	34	(	(	PUNCT
fumecheng-4792	69	35	blue	blue	ADJ
fumecheng-4792	69	36	line	line	NOUN
fumecheng-4792	69	37	with	with	ADP
fumecheng-4792	69	38	dots	dot	NOUN
fumecheng-4792	69	39	)	)	PUNCT
fumecheng-4792	69	40	.	.	PUNCT
fumecheng-4792	70	1	the	the	DET
fumecheng-4792	70	2	mdr	mdr	PROPN
fumecheng-4792	70	3	was	be	AUX
fumecheng-4792	70	4	used	use	VERB
fumecheng-4792	70	5	to	to	PART
fumecheng-4792	70	6	obtain	obtain	VERB
fumecheng-4792	70	7	the	the	DET
fumecheng-4792	70	8	deformations	deformation	NOUN
fumecheng-4792	70	9	and	and	CCONJ
fumecheng-4792	70	10	stresses	stress	NOUN
fumecheng-4792	70	11	while	while	SCONJ
fumecheng-4792	70	12	the	the	DET
fumecheng-4792	70	13	archard	archard	NOUN
fumecheng-4792	70	14	’s	’s	PART
fumecheng-4792	70	15	law	law	NOUN
fumecheng-4792	70	16	was	be	AUX
fumecheng-4792	70	17	used	use	VERB
fumecheng-4792	70	18	to	to	PART
fumecheng-4792	70	19	model	model	VERB
fumecheng-4792	70	20	the	the	DET
fumecheng-4792	70	21	wear	wear	NOUN
fumecheng-4792	70	22	numerical	numerical	ADJ
fumecheng-4792	70	23	methods	method	NOUN
fumecheng-4792	70	24	for	for	ADP
fumecheng-4792	70	25	simulation	simulation	NOUN
fumecheng-4792	70	26	of	of	ADP
fumecheng-4792	70	27	deformations	deformation	NOUN
fumecheng-4792	70	28	and	and	CCONJ
fumecheng-4792	70	29	stresses	stress	NOUN
fumecheng-4792	70	30	in	in	ADP
fumecheng-4792	70	31	turbine	turbine	NOUN
fumecheng-4792	70	32	blade	blade	NOUN
fumecheng-4792	70	33	fir	fir	NOUN
fumecheng-4792	70	34	-	-	PUNCT
fumecheng-4792	70	35	tree	tree	NOUN
fumecheng-4792	70	36	connections	connection	NOUN
fumecheng-4792	70	37	5	5	NUM
fumecheng-4792	70	38	given	give	VERB
fumecheng-4792	70	39	the	the	DET
fumecheng-4792	70	40	efficiency	efficiency	NOUN
fumecheng-4792	70	41	of	of	ADP
fumecheng-4792	70	42	the	the	DET
fumecheng-4792	70	43	mdr	mdr	PROPN
fumecheng-4792	70	44	and	and	CCONJ
fumecheng-4792	70	45	the	the	DET
fumecheng-4792	70	46	success	success	NOUN
fumecheng-4792	70	47	when	when	SCONJ
fumecheng-4792	70	48	it	it	PRON
fumecheng-4792	70	49	comes	come	VERB
fumecheng-4792	70	50	to	to	PART
fumecheng-4792	70	51	wear	wear	VERB
fumecheng-4792	70	52	simulations	simulation	NOUN
fumecheng-4792	70	53	,	,	PUNCT
fumecheng-4792	70	54	it	it	PRON
fumecheng-4792	70	55	would	would	AUX
fumecheng-4792	70	56	be	be	AUX
fumecheng-4792	70	57	desirable	desirable	ADJ
fumecheng-4792	70	58	to	to	PART
fumecheng-4792	70	59	apply	apply	VERB
fumecheng-4792	70	60	the	the	DET
fumecheng-4792	70	61	method	method	NOUN
fumecheng-4792	70	62	for	for	ADP
fumecheng-4792	70	63	calculating	calculate	VERB
fumecheng-4792	70	64	deformations	deformation	NOUN
fumecheng-4792	70	65	and	and	CCONJ
fumecheng-4792	70	66	stresses	stress	NOUN
fumecheng-4792	70	67	in	in	ADP
fumecheng-4792	70	68	turbine	turbine	NOUN
fumecheng-4792	70	69	blade	blade	NOUN
fumecheng-4792	70	70	fir	fir	NOUN
fumecheng-4792	70	71	-	-	PUNCT
fumecheng-4792	70	72	tree	tree	NOUN
fumecheng-4792	70	73	connections	connection	NOUN
fumecheng-4792	70	74	.	.	PUNCT
fumecheng-4792	71	1	fig	fig	NOUN
fumecheng-4792	71	2	.	.	PUNCT
fumecheng-4792	72	1	6a	6a	NOUN
fumecheng-4792	72	2	shows	show	VERB
fumecheng-4792	72	3	a	a	DET
fumecheng-4792	72	4	schematic	schematic	ADJ
fumecheng-4792	72	5	view	view	NOUN
fumecheng-4792	72	6	of	of	ADP
fumecheng-4792	72	7	one	one	NUM
fumecheng-4792	72	8	tooth	tooth	NOUN
fumecheng-4792	72	9	of	of	ADP
fumecheng-4792	72	10	a	a	DET
fumecheng-4792	72	11	turbine	turbine	NOUN
fumecheng-4792	72	12	blade	blade	NOUN
fumecheng-4792	72	13	in	in	ADP
fumecheng-4792	72	14	contact	contact	NOUN
fumecheng-4792	72	15	with	with	ADP
fumecheng-4792	72	16	its	its	PRON
fumecheng-4792	72	17	counterpart	counterpart	NOUN
fumecheng-4792	72	18	on	on	ADP
fumecheng-4792	72	19	the	the	DET
fumecheng-4792	72	20	disc	disc	NOUN
fumecheng-4792	72	21	.	.	PUNCT
fumecheng-4792	73	1	a	a	DET
fumecheng-4792	73	2	close	close	VERB
fumecheng-4792	73	3	-	-	PUNCT
fumecheng-4792	73	4	up	up	ADP
fumecheng-4792	73	5	view	view	NOUN
fumecheng-4792	73	6	,	,	PUNCT
fumecheng-4792	73	7	which	which	PRON
fumecheng-4792	73	8	is	be	AUX
fumecheng-4792	73	9	also	also	ADV
fumecheng-4792	73	10	stretched	stretch	VERB
fumecheng-4792	73	11	in	in	ADP
fumecheng-4792	73	12	the	the	DET
fumecheng-4792	73	13	z	z	NOUN
fumecheng-4792	73	14	-	-	PUNCT
fumecheng-4792	73	15	direction	direction	NOUN
fumecheng-4792	73	16	,	,	PUNCT
fumecheng-4792	73	17	is	be	AUX
fumecheng-4792	73	18	displayed	display	VERB
fumecheng-4792	73	19	in	in	ADP
fumecheng-4792	73	20	fig	fig	NOUN
fumecheng-4792	73	21	.	.	PUNCT
fumecheng-4792	74	1	6b	6b	NOUN
fumecheng-4792	74	2	.	.	PUNCT
fumecheng-4792	75	1	a	a	DET
fumecheng-4792	75	2	)	)	PUNCT
fumecheng-4792	75	3	b	b	NOUN
fumecheng-4792	75	4	)	)	PUNCT
fumecheng-4792	75	5	fig	fig	NOUN
fumecheng-4792	75	6	.	.	PUNCT
fumecheng-4792	76	1	6	6	NUM
fumecheng-4792	76	2	a	a	X
fumecheng-4792	76	3	)	)	PUNCT
fumecheng-4792	76	4	schematic	schematic	ADJ
fumecheng-4792	76	5	view	view	NOUN
fumecheng-4792	76	6	of	of	ADP
fumecheng-4792	76	7	one	one	NUM
fumecheng-4792	76	8	tooth	tooth	NOUN
fumecheng-4792	76	9	of	of	ADP
fumecheng-4792	76	10	a	a	DET
fumecheng-4792	76	11	turbine	turbine	NOUN
fumecheng-4792	76	12	blade	blade	NOUN
fumecheng-4792	76	13	in	in	ADP
fumecheng-4792	76	14	contact	contact	NOUN
fumecheng-4792	76	15	with	with	ADP
fumecheng-4792	76	16	its	its	PRON
fumecheng-4792	76	17	counterpart	counterpart	NOUN
fumecheng-4792	76	18	on	on	ADP
fumecheng-4792	76	19	the	the	DET
fumecheng-4792	76	20	disk	disk	NOUN
fumecheng-4792	76	21	,	,	PUNCT
fumecheng-4792	76	22	b	b	X
fumecheng-4792	76	23	)	)	PUNCT
fumecheng-4792	76	24	close	close	VERB
fumecheng-4792	76	25	up	up	ADP
fumecheng-4792	76	26	view	view	NOUN
fumecheng-4792	76	27	of	of	ADP
fumecheng-4792	76	28	the	the	DET
fumecheng-4792	76	29	contacting	contact	VERB
fumecheng-4792	76	30	profiles	profile	NOUN
fumecheng-4792	76	31	stretched	stretch	VERB
fumecheng-4792	76	32	in	in	ADP
fumecheng-4792	76	33	z	z	NOUN
fumecheng-4792	76	34	-	-	NOUN
fumecheng-4792	76	35	direction	direction	NOUN
fumecheng-4792	76	36	.	.	PUNCT
fumecheng-4792	77	1	images	image	NOUN
fumecheng-4792	77	2	:	:	PUNCT
fumecheng-4792	77	3	diercks	dierck	NOUN
fumecheng-4792	77	4	(	(	PUNCT
fumecheng-4792	77	5	modified	modify	VERB
fumecheng-4792	77	6	to	to	PART
fumecheng-4792	77	7	fit	fit	VERB
fumecheng-4792	77	8	the	the	DET
fumecheng-4792	77	9	context	context	NOUN
fumecheng-4792	77	10	)	)	PUNCT
fumecheng-4792	77	11	.	.	PUNCT
fumecheng-4792	78	1	images	image	NOUN
fumecheng-4792	78	2	used	use	VERB
fumecheng-4792	78	3	with	with	ADP
fumecheng-4792	78	4	the	the	DET
fumecheng-4792	78	5	kind	kind	ADJ
fumecheng-4792	78	6	permission	permission	NOUN
fumecheng-4792	78	7	of	of	ADP
fumecheng-4792	78	8	rolls	roll	NOUN
fumecheng-4792	78	9	-	-	PUNCT
fumecheng-4792	78	10	royce	royce	PROPN
fumecheng-4792	78	11	a	a	PRON
fumecheng-4792	78	12	)	)	PUNCT
fumecheng-4792	78	13	b	b	NOUN
fumecheng-4792	78	14	)	)	PUNCT
fumecheng-4792	78	15	fig	fig	NOUN
fumecheng-4792	78	16	.	.	PUNCT
fumecheng-4792	79	1	7	7	NUM
fumecheng-4792	79	2	a	a	X
fumecheng-4792	79	3	)	)	PUNCT
fumecheng-4792	79	4	finite	finite	PROPN
fumecheng-4792	79	5	element	element	NOUN
fumecheng-4792	79	6	setup	setup	NOUN
fumecheng-4792	79	7	for	for	ADP
fumecheng-4792	79	8	the	the	DET
fumecheng-4792	79	9	calculation	calculation	NOUN
fumecheng-4792	79	10	of	of	ADP
fumecheng-4792	79	11	deformations	deformation	NOUN
fumecheng-4792	79	12	and	and	CCONJ
fumecheng-4792	79	13	stresses	stress	NOUN
fumecheng-4792	79	14	on	on	ADP
fumecheng-4792	79	15	a	a	DET
fumecheng-4792	79	16	simplified	simplified	ADJ
fumecheng-4792	79	17	fir	fir	NOUN
fumecheng-4792	79	18	-	-	PUNCT
fumecheng-4792	79	19	tree	tree	NOUN
fumecheng-4792	79	20	model	model	NOUN
fumecheng-4792	79	21	with	with	ADP
fumecheng-4792	79	22	only	only	ADV
fumecheng-4792	79	23	one	one	NUM
fumecheng-4792	79	24	tooth	tooth	NOUN
fumecheng-4792	79	25	in	in	ADP
fumecheng-4792	79	26	contact	contact	NOUN
fumecheng-4792	79	27	,	,	PUNCT
fumecheng-4792	79	28	b	b	X
fumecheng-4792	79	29	)	)	PUNCT
fumecheng-4792	79	30	exemplary	exemplary	ADJ
fumecheng-4792	79	31	results	result	NOUN
fumecheng-4792	79	32	of	of	ADP
fumecheng-4792	79	33	the	the	DET
fumecheng-4792	79	34	finite	finite	PROPN
fumecheng-4792	79	35	element	element	NOUN
fumecheng-4792	79	36	model	model	NOUN
fumecheng-4792	79	37	(	(	PUNCT
fumecheng-4792	79	38	blue	blue	ADJ
fumecheng-4792	79	39	)	)	PUNCT
fumecheng-4792	79	40	and	and	CCONJ
fumecheng-4792	79	41	the	the	DET
fumecheng-4792	79	42	mdr	mdr	PROPN
fumecheng-4792	79	43	approximation	approximation	NOUN
fumecheng-4792	79	44	(	(	PUNCT
fumecheng-4792	79	45	red	red	PROPN
fumecheng-4792	79	46	)	)	PUNCT
fumecheng-4792	79	47	for	for	ADP
fumecheng-4792	79	48	the	the	DET
fumecheng-4792	79	49	worst	bad	ADJ
fumecheng-4792	79	50	principal	principal	ADJ
fumecheng-4792	79	51	stress	stress	NOUN
fumecheng-4792	79	52	at	at	ADP
fumecheng-4792	79	53	the	the	DET
fumecheng-4792	79	54	disk	disk	NOUN
fumecheng-4792	79	55	surface	surface	NOUN
fumecheng-4792	79	56	(	(	PUNCT
fumecheng-4792	79	57	marked	mark	VERB
fumecheng-4792	79	58	with	with	ADP
fumecheng-4792	79	59	a	a	DET
fumecheng-4792	79	60	thin	thin	ADJ
fumecheng-4792	79	61	red	red	ADJ
fumecheng-4792	79	62	line	line	NOUN
fumecheng-4792	79	63	in	in	ADP
fumecheng-4792	79	64	the	the	DET
fumecheng-4792	79	65	left	left	ADJ
fumecheng-4792	79	66	graph	graph	NOUN
fumecheng-4792	79	67	a	a	PRON
fumecheng-4792	79	68	)	)	PUNCT
fumecheng-4792	79	69	.	.	PUNCT
fumecheng-4792	80	1	images	image	NOUN
fumecheng-4792	80	2	:	:	PUNCT
fumecheng-4792	80	3	diercks	dierck	NOUN
fumecheng-4792	80	4	(	(	PUNCT
fumecheng-4792	80	5	modified	modify	VERB
fumecheng-4792	80	6	to	to	PART
fumecheng-4792	80	7	fit	fit	VERB
fumecheng-4792	80	8	the	the	DET
fumecheng-4792	80	9	context	context	NOUN
fumecheng-4792	80	10	)	)	PUNCT
fumecheng-4792	80	11	.	.	PUNCT
fumecheng-4792	81	1	images	image	NOUN
fumecheng-4792	81	2	used	use	VERB
fumecheng-4792	81	3	with	with	ADP
fumecheng-4792	81	4	the	the	DET
fumecheng-4792	81	5	kind	kind	ADJ
fumecheng-4792	81	6	permission	permission	NOUN
fumecheng-4792	81	7	of	of	ADP
fumecheng-4792	81	8	rolls	roll	NOUN
fumecheng-4792	81	9	-	-	PUNCT
fumecheng-4792	81	10	royce	royce	NOUN
fumecheng-4792	81	11	in	in	ADP
fumecheng-4792	81	12	a	a	DET
fumecheng-4792	81	13	rough	rough	ADJ
fumecheng-4792	81	14	first	first	ADJ
fumecheng-4792	81	15	approximation	approximation	NOUN
fumecheng-4792	81	16	,	,	PUNCT
fumecheng-4792	81	17	the	the	DET
fumecheng-4792	81	18	problem	problem	NOUN
fumecheng-4792	81	19	can	can	AUX
fumecheng-4792	81	20	be	be	AUX
fumecheng-4792	81	21	regarded	regard	VERB
fumecheng-4792	81	22	as	as	ADP
fumecheng-4792	81	23	a	a	DET
fumecheng-4792	81	24	simple	simple	ADJ
fumecheng-4792	81	25	two	two	NUM
fumecheng-4792	81	26	-	-	PUNCT
fumecheng-4792	81	27	dimensional	dimensional	ADJ
fumecheng-4792	81	28	contact	contact	NOUN
fumecheng-4792	81	29	of	of	ADP
fumecheng-4792	81	30	cylindrical	cylindrical	ADJ
fumecheng-4792	81	31	lying	lie	VERB
fumecheng-4792	81	32	indenter	indenter	NOUN
fumecheng-4792	81	33	with	with	ADP
fumecheng-4792	81	34	a	a	DET
fumecheng-4792	81	35	half	half	ADJ
fumecheng-4792	81	36	-	-	PUNCT
fumecheng-4792	81	37	space	space	NOUN
fumecheng-4792	81	38	.	.	PUNCT
fumecheng-4792	82	1	the	the	DET
fumecheng-4792	82	2	transformed	transform	VERB
fumecheng-4792	82	3	profile	profile	NOUN
fumecheng-4792	82	4	to	to	PART
fumecheng-4792	82	5	be	be	AUX
fumecheng-4792	82	6	used	use	VERB
fumecheng-4792	82	7	in	in	ADP
fumecheng-4792	82	8	the	the	DET
fumecheng-4792	82	9	mdr	mdr	PROPN
fumecheng-4792	82	10	for	for	ADP
fumecheng-4792	82	11	such	such	DET
fumecheng-4792	82	12	a	a	DET
fumecheng-4792	82	13	line	line	NOUN
fumecheng-4792	82	14	contact	contact	NOUN
fumecheng-4792	82	15	can	can	AUX
fumecheng-4792	82	16	be	be	AUX
fumecheng-4792	82	17	obtained	obtain	VERB
fumecheng-4792	82	18	directly	directly	ADV
fumecheng-4792	82	19	[	[	X
fumecheng-4792	82	20	6	6	NUM
fumecheng-4792	82	21	]	]	PUNCT
fumecheng-4792	82	22	(	(	PUNCT
fumecheng-4792	82	23	see	see	VERB
fumecheng-4792	82	24	also	also	ADV
fumecheng-4792	82	25	[	[	X
fumecheng-4792	82	26	18	18	NUM
fumecheng-4792	82	27	]	]	NUM
fumecheng-4792	82	28	)	)	PUNCT
fumecheng-4792	82	29	,	,	PUNCT
fumecheng-4792	82	30	or	or	CCONJ
fumecheng-4792	82	31	one	one	NUM
fumecheng-4792	82	32	can	can	AUX
fumecheng-4792	82	33	make	make	VERB
fumecheng-4792	82	34	use	use	NOUN
fumecheng-4792	82	35	of	of	ADP
fumecheng-4792	82	36	fabrikant	fabrikant	PROPN
fumecheng-4792	82	37	’s	’s	PART
fumecheng-4792	82	38	approximation	approximation	NOUN
fumecheng-4792	82	39	(	(	PUNCT
fumecheng-4792	82	40	see	see	VERB
fumecheng-4792	82	41	[	[	X
fumecheng-4792	82	42	19	19	NUM
fumecheng-4792	82	43	]	]	PUNCT
fumecheng-4792	82	44	)	)	PUNCT
fumecheng-4792	82	45	to	to	PART
fumecheng-4792	82	46	scale	scale	VERB
fumecheng-4792	82	47	a	a	DET
fumecheng-4792	82	48	corresponding	corresponding	ADJ
fumecheng-4792	82	49	rotationally	rotationally	ADV
fumecheng-4792	82	50	symmetric	symmetric	ADJ
fumecheng-4792	82	51	solution	solution	NOUN
fumecheng-4792	82	52	to	to	ADP
fumecheng-4792	82	53	the	the	DET
fumecheng-4792	82	54	real	real	ADJ
fumecheng-4792	82	55	contact	contact	NOUN
fumecheng-4792	82	56	area	area	NOUN
fumecheng-4792	82	57	as	as	ADP
fumecheng-4792	82	58	a	a	DET
fumecheng-4792	82	59	rough	rough	ADJ
fumecheng-4792	82	60	first	first	ADJ
fumecheng-4792	82	61	estimate	estimate	NOUN
fumecheng-4792	82	62	.	.	PUNCT
fumecheng-4792	83	1	the	the	DET
fumecheng-4792	83	2	latter	latter	ADJ
fumecheng-4792	83	3	approach	approach	NOUN
fumecheng-4792	83	4	was	be	AUX
fumecheng-4792	83	5	adopted	adopt	VERB
fumecheng-4792	83	6	here	here	ADV
fumecheng-4792	83	7	.	.	PUNCT
fumecheng-4792	84	1	with	with	ADP
fumecheng-4792	84	2	the	the	DET
fumecheng-4792	84	3	resulting	result	VERB
fumecheng-4792	84	4	normal	normal	ADJ
fumecheng-4792	84	5	and	and	CCONJ
fumecheng-4792	84	6	tangential	tangential	ADJ
fumecheng-4792	84	7	loads	load	NOUN
fumecheng-4792	84	8	in	in	ADP
fumecheng-4792	84	9	the	the	DET
fumecheng-4792	84	10	contact	contact	NOUN
fumecheng-4792	84	11	area	area	NOUN
fumecheng-4792	84	12	,	,	PUNCT
fumecheng-4792	84	13	one	one	PRON
fumecheng-4792	84	14	can	can	AUX
fumecheng-4792	84	15	then	then	ADV
fumecheng-4792	84	16	obtain	obtain	VERB
fumecheng-4792	84	17	all	all	PRON
fumecheng-4792	84	18	6	6	NUM
fumecheng-4792	84	19	j.	j.	PROPN
fumecheng-4792	84	20	benad	benad	PROPN
fumecheng-4792	84	21	components	component	NOUN
fumecheng-4792	84	22	of	of	ADP
fumecheng-4792	84	23	the	the	DET
fumecheng-4792	84	24	stress	stress	NOUN
fumecheng-4792	84	25	tensor	tensor	NOUN
fumecheng-4792	84	26	at	at	ADP
fumecheng-4792	84	27	the	the	DET
fumecheng-4792	84	28	surface	surface	NOUN
fumecheng-4792	84	29	using	use	VERB
fumecheng-4792	84	30	the	the	DET
fumecheng-4792	84	31	fundamental	fundamental	ADJ
fumecheng-4792	84	32	solutions	solution	NOUN
fumecheng-4792	84	33	of	of	ADP
fumecheng-4792	84	34	boussinesq	boussinesq	NOUN
fumecheng-4792	84	35	and	and	CCONJ
fumecheng-4792	84	36	cerruti	cerruti	NOUN
fumecheng-4792	84	37	(	(	PUNCT
fumecheng-4792	84	38	see	see	VERB
fumecheng-4792	84	39	[	[	X
fumecheng-4792	84	40	20	20	NUM
fumecheng-4792	84	41	]	]	NUM
fumecheng-4792	84	42	)	)	PUNCT
fumecheng-4792	84	43	,	,	PUNCT
fumecheng-4792	84	44	which	which	PRON
fumecheng-4792	84	45	makes	make	VERB
fumecheng-4792	84	46	it	it	PRON
fumecheng-4792	84	47	possible	possible	ADJ
fumecheng-4792	84	48	to	to	PART
fumecheng-4792	84	49	display	display	VERB
fumecheng-4792	84	50	the	the	DET
fumecheng-4792	84	51	worst	bad	ADJ
fumecheng-4792	84	52	principle	principle	ADJ
fumecheng-4792	84	53	stress	stress	NOUN
fumecheng-4792	84	54	at	at	ADP
fumecheng-4792	84	55	the	the	DET
fumecheng-4792	84	56	surface	surface	NOUN
fumecheng-4792	84	57	.	.	PUNCT
fumecheng-4792	85	1	exemplary	exemplary	ADJ
fumecheng-4792	85	2	results	result	NOUN
fumecheng-4792	85	3	for	for	ADP
fumecheng-4792	85	4	the	the	DET
fumecheng-4792	85	5	worst	bad	ADJ
fumecheng-4792	85	6	principle	principle	ADJ
fumecheng-4792	85	7	stress	stress	NOUN
fumecheng-4792	85	8	at	at	ADP
fumecheng-4792	85	9	the	the	DET
fumecheng-4792	85	10	surface	surface	NOUN
fumecheng-4792	85	11	obtained	obtain	VERB
fumecheng-4792	85	12	in	in	ADP
fumecheng-4792	85	13	such	such	DET
fumecheng-4792	85	14	a	a	DET
fumecheng-4792	85	15	fashion	fashion	NOUN
fumecheng-4792	85	16	are	be	AUX
fumecheng-4792	85	17	displayed	display	VERB
fumecheng-4792	85	18	in	in	ADP
fumecheng-4792	85	19	fig	fig	NOUN
fumecheng-4792	85	20	.	.	PUNCT
fumecheng-4792	86	1	7b	7b	NOUN
fumecheng-4792	86	2	along	along	ADP
fumecheng-4792	86	3	with	with	ADP
fumecheng-4792	86	4	finite	finite	ADJ
fumecheng-4792	86	5	element	element	NOUN
fumecheng-4792	86	6	results	result	NOUN
fumecheng-4792	86	7	for	for	ADP
fumecheng-4792	86	8	comparison	comparison	NOUN
fumecheng-4792	86	9	.	.	PUNCT
fumecheng-4792	87	1	the	the	DET
fumecheng-4792	87	2	finite	finite	PROPN
fumecheng-4792	87	3	element	element	NOUN
fumecheng-4792	87	4	setup	setup	NOUN
fumecheng-4792	87	5	which	which	PRON
fumecheng-4792	87	6	was	be	AUX
fumecheng-4792	87	7	used	use	VERB
fumecheng-4792	87	8	is	be	AUX
fumecheng-4792	87	9	displayed	display	VERB
fumecheng-4792	87	10	in	in	ADP
fumecheng-4792	87	11	fig	fig	NOUN
fumecheng-4792	87	12	.	.	PUNCT
fumecheng-4792	88	1	7a	7a	NUM
fumecheng-4792	88	2	.	.	PUNCT
fumecheng-4792	89	1	note	note	VERB
fumecheng-4792	89	2	that	that	SCONJ
fumecheng-4792	89	3	for	for	ADP
fumecheng-4792	89	4	simplicity	simplicity	NOUN
fumecheng-4792	89	5	a	a	DET
fumecheng-4792	89	6	blade	blade	NOUN
fumecheng-4792	89	7	root	root	NOUN
fumecheng-4792	89	8	with	with	ADP
fumecheng-4792	89	9	only	only	ADV
fumecheng-4792	89	10	one	one	NUM
fumecheng-4792	89	11	tooth	tooth	NOUN
fumecheng-4792	89	12	was	be	AUX
fumecheng-4792	89	13	considered	consider	VERB
fumecheng-4792	89	14	in	in	ADP
fumecheng-4792	89	15	this	this	DET
fumecheng-4792	89	16	first	first	ADJ
fumecheng-4792	89	17	model	model	NOUN
fumecheng-4792	89	18	.	.	PUNCT
fumecheng-4792	90	1	it	it	PRON
fumecheng-4792	90	2	transpires	transpire	VERB
fumecheng-4792	90	3	that	that	SCONJ
fumecheng-4792	90	4	,	,	PUNCT
fumecheng-4792	90	5	at	at	ADP
fumecheng-4792	90	6	least	least	ADJ
fumecheng-4792	90	7	in	in	ADP
fumecheng-4792	90	8	the	the	DET
fumecheng-4792	90	9	contact	contact	NOUN
fumecheng-4792	90	10	area	area	NOUN
fumecheng-4792	90	11	,	,	PUNCT
fumecheng-4792	90	12	this	this	DET
fumecheng-4792	90	13	very	very	ADV
fumecheng-4792	90	14	crude	crude	ADJ
fumecheng-4792	90	15	mdr	mdr	NOUN
fumecheng-4792	90	16	approach	approach	NOUN
fumecheng-4792	90	17	already	already	ADV
fumecheng-4792	90	18	delivers	deliver	VERB
fumecheng-4792	90	19	the	the	DET
fumecheng-4792	90	20	results	result	NOUN
fumecheng-4792	90	21	which	which	PRON
fumecheng-4792	90	22	agree	agree	VERB
fumecheng-4792	90	23	to	to	ADP
fumecheng-4792	90	24	a	a	DET
fumecheng-4792	90	25	certain	certain	ADJ
fumecheng-4792	90	26	extent	extent	NOUN
fumecheng-4792	90	27	with	with	ADP
fumecheng-4792	90	28	those	those	PRON
fumecheng-4792	90	29	obtained	obtain	VERB
fumecheng-4792	90	30	with	with	ADP
fumecheng-4792	90	31	the	the	DET
fumecheng-4792	90	32	more	more	ADV
fumecheng-4792	90	33	appropriate	appropriate	ADJ
fumecheng-4792	90	34	finite	finite	ADJ
fumecheng-4792	90	35	element	element	NOUN
fumecheng-4792	90	36	model	model	NOUN
fumecheng-4792	90	37	.	.	PUNCT
fumecheng-4792	91	1	the	the	DET
fumecheng-4792	91	2	most	most	ADV
fumecheng-4792	91	3	striking	striking	ADJ
fumecheng-4792	91	4	difference	difference	NOUN
fumecheng-4792	91	5	is	be	AUX
fumecheng-4792	91	6	,	,	PUNCT
fumecheng-4792	91	7	of	of	ADP
fumecheng-4792	91	8	course	course	NOUN
fumecheng-4792	91	9	,	,	PUNCT
fumecheng-4792	91	10	attained	attain	VERB
fumecheng-4792	91	11	as	as	SCONJ
fumecheng-4792	91	12	the	the	DET
fumecheng-4792	91	13	bottom	bottom	NOUN
fumecheng-4792	91	14	of	of	ADP
fumecheng-4792	91	15	the	the	DET
fumecheng-4792	91	16	first	first	ADJ
fumecheng-4792	91	17	lobe	lobe	NOUN
fumecheng-4792	91	18	is	be	AUX
fumecheng-4792	91	19	approached	approach	VERB
fumecheng-4792	91	20	(	(	PUNCT
fumecheng-4792	91	21	region	region	NOUN
fumecheng-4792	91	22	left	leave	VERB
fumecheng-4792	91	23	of	of	ADP
fumecheng-4792	91	24	the	the	DET
fumecheng-4792	91	25	contact	contact	NOUN
fumecheng-4792	91	26	area	area	NOUN
fumecheng-4792	91	27	in	in	ADP
fumecheng-4792	91	28	fig	fig	NOUN
fumecheng-4792	91	29	.	.	PUNCT
fumecheng-4792	92	1	7b	7b	NOUN
fumecheng-4792	92	2	)	)	PUNCT
fumecheng-4792	92	3	.	.	PUNCT
fumecheng-4792	93	1	the	the	DET
fumecheng-4792	93	2	influence	influence	NOUN
fumecheng-4792	93	3	of	of	ADP
fumecheng-4792	93	4	this	this	DET
fumecheng-4792	93	5	notch	notch	NOUN
fumecheng-4792	93	6	is	be	AUX
fumecheng-4792	93	7	not	not	PART
fumecheng-4792	93	8	modeled	model	VERB
fumecheng-4792	93	9	with	with	ADP
fumecheng-4792	93	10	the	the	DET
fumecheng-4792	93	11	half	half	ADJ
fumecheng-4792	93	12	-	-	PUNCT
fumecheng-4792	93	13	space	space	NOUN
fumecheng-4792	93	14	approach	approach	NOUN
fumecheng-4792	93	15	.	.	PUNCT
fumecheng-4792	94	1	in	in	ADP
fumecheng-4792	94	2	the	the	DET
fumecheng-4792	94	3	following	following	ADJ
fumecheng-4792	94	4	section	section	NOUN
fumecheng-4792	94	5	,	,	PUNCT
fumecheng-4792	94	6	we	we	PRON
fumecheng-4792	94	7	will	will	AUX
fumecheng-4792	94	8	remain	remain	VERB
fumecheng-4792	94	9	within	within	ADP
fumecheng-4792	94	10	the	the	DET
fumecheng-4792	94	11	framework	framework	NOUN
fumecheng-4792	94	12	of	of	ADP
fumecheng-4792	94	13	the	the	DET
fumecheng-4792	94	14	half	half	ADJ
fumecheng-4792	94	15	-	-	PUNCT
fumecheng-4792	94	16	space	space	NOUN
fumecheng-4792	94	17	theory	theory	NOUN
fumecheng-4792	94	18	as	as	SCONJ
fumecheng-4792	94	19	we	we	PRON
fumecheng-4792	94	20	are	be	AUX
fumecheng-4792	94	21	interested	interested	ADJ
fumecheng-4792	94	22	primarily	primarily	ADV
fumecheng-4792	94	23	in	in	ADP
fumecheng-4792	94	24	the	the	DET
fumecheng-4792	94	25	properties	property	NOUN
fumecheng-4792	94	26	in	in	ADP
fumecheng-4792	94	27	the	the	DET
fumecheng-4792	94	28	contact	contact	NOUN
fumecheng-4792	94	29	area	area	NOUN
fumecheng-4792	94	30	.	.	PUNCT
fumecheng-4792	95	1	however	however	ADV
fumecheng-4792	95	2	,	,	PUNCT
fumecheng-4792	95	3	we	we	PRON
fumecheng-4792	95	4	shall	shall	AUX
fumecheng-4792	95	5	still	still	ADV
fumecheng-4792	95	6	turn	turn	VERB
fumecheng-4792	95	7	to	to	ADP
fumecheng-4792	95	8	a	a	DET
fumecheng-4792	95	9	less	less	ADV
fumecheng-4792	95	10	confined	confine	VERB
fumecheng-4792	95	11	model	model	NOUN
fumecheng-4792	95	12	,	,	PUNCT
fumecheng-4792	95	13	the	the	DET
fumecheng-4792	95	14	boundary	boundary	ADJ
fumecheng-4792	95	15	element	element	NOUN
fumecheng-4792	95	16	method	method	NOUN
fumecheng-4792	95	17	.	.	PUNCT
fumecheng-4792	96	1	the	the	DET
fumecheng-4792	96	2	setup	setup	NOUN
fumecheng-4792	96	3	will	will	AUX
fumecheng-4792	96	4	remain	remain	VERB
fumecheng-4792	96	5	the	the	DET
fumecheng-4792	96	6	same	same	ADJ
fumecheng-4792	96	7	,	,	PUNCT
fumecheng-4792	96	8	with	with	ADP
fumecheng-4792	96	9	the	the	DET
fumecheng-4792	96	10	exception	exception	NOUN
fumecheng-4792	96	11	that	that	PRON
fumecheng-4792	96	12	all	all	DET
fumecheng-4792	96	13	four	four	NUM
fumecheng-4792	96	14	teeth	tooth	NOUN
fumecheng-4792	96	15	of	of	ADP
fumecheng-4792	96	16	the	the	DET
fumecheng-4792	96	17	fir	fir	NOUN
fumecheng-4792	96	18	-	-	PUNCT
fumecheng-4792	96	19	tree	tree	NOUN
fumecheng-4792	96	20	will	will	AUX
fumecheng-4792	96	21	be	be	AUX
fumecheng-4792	96	22	considered	consider	VERB
fumecheng-4792	96	23	.	.	PUNCT
fumecheng-4792	97	1	3	3	X
fumecheng-4792	97	2	.	.	X
fumecheng-4792	97	3	fft	fft	NOUN
fumecheng-4792	97	4	-	-	PUNCT
fumecheng-4792	97	5	based	base	VERB
fumecheng-4792	97	6	boundary	boundary	ADJ
fumecheng-4792	97	7	element	element	NOUN
fumecheng-4792	97	8	method	method	NOUN
fumecheng-4792	97	9	(	(	PUNCT
fumecheng-4792	97	10	bem	bem	PROPN
fumecheng-4792	97	11	)	)	PUNCT
fumecheng-4792	97	12	for	for	ADP
fumecheng-4792	97	13	the	the	DET
fumecheng-4792	97	14	half	half	ADJ
fumecheng-4792	97	15	-	-	PUNCT
fumecheng-4792	97	16	space	space	NOUN
fumecheng-4792	97	17	the	the	DET
fumecheng-4792	97	18	boundary	boundary	ADJ
fumecheng-4792	97	19	element	element	NOUN
fumecheng-4792	97	20	method	method	NOUN
fumecheng-4792	97	21	(	(	PUNCT
fumecheng-4792	97	22	bem	bem	PROPN
fumecheng-4792	97	23	)	)	PUNCT
fumecheng-4792	97	24	is	be	AUX
fumecheng-4792	97	25	used	use	VERB
fumecheng-4792	97	26	in	in	ADP
fumecheng-4792	97	27	many	many	ADJ
fumecheng-4792	97	28	engineering	engineering	NOUN
fumecheng-4792	97	29	applications	application	NOUN
fumecheng-4792	97	30	.	.	PUNCT
fumecheng-4792	98	1	for	for	ADP
fumecheng-4792	98	2	some	some	DET
fumecheng-4792	98	3	special	special	ADJ
fumecheng-4792	98	4	cases	case	NOUN
fumecheng-4792	98	5	,	,	PUNCT
fumecheng-4792	98	6	such	such	ADJ
fumecheng-4792	98	7	as	as	ADP
fumecheng-4792	98	8	the	the	DET
fumecheng-4792	98	9	simulation	simulation	NOUN
fumecheng-4792	98	10	of	of	ADP
fumecheng-4792	98	11	tribological	tribological	ADJ
fumecheng-4792	98	12	contacts	contact	NOUN
fumecheng-4792	98	13	where	where	SCONJ
fumecheng-4792	98	14	the	the	DET
fumecheng-4792	98	15	technique	technique	NOUN
fumecheng-4792	98	16	is	be	AUX
fumecheng-4792	98	17	applied	apply	VERB
fumecheng-4792	98	18	with	with	ADP
fumecheng-4792	98	19	the	the	DET
fumecheng-4792	98	20	half	half	ADJ
fumecheng-4792	98	21	-	-	PUNCT
fumecheng-4792	98	22	space	space	NOUN
fumecheng-4792	98	23	approximation	approximation	NOUN
fumecheng-4792	98	24	,	,	PUNCT
fumecheng-4792	98	25	the	the	DET
fumecheng-4792	98	26	tool	tool	NOUN
fumecheng-4792	98	27	has	have	AUX
fumecheng-4792	98	28	set	set	VERB
fumecheng-4792	98	29	new	new	ADJ
fumecheng-4792	98	30	standards	standard	NOUN
fumecheng-4792	98	31	in	in	ADP
fumecheng-4792	98	32	recent	recent	ADJ
fumecheng-4792	98	33	years	year	NOUN
fumecheng-4792	98	34	,	,	PUNCT
fumecheng-4792	98	35	becoming	become	VERB
fumecheng-4792	98	36	the	the	DET
fumecheng-4792	98	37	method	method	NOUN
fumecheng-4792	98	38	of	of	ADP
fumecheng-4792	98	39	choice	choice	NOUN
fumecheng-4792	98	40	both	both	CCONJ
fumecheng-4792	98	41	in	in	ADP
fumecheng-4792	98	42	academic	academic	ADJ
fumecheng-4792	98	43	and	and	CCONJ
fumecheng-4792	98	44	industrial	industrial	ADJ
fumecheng-4792	98	45	research	research	NOUN
fumecheng-4792	98	46	and	and	CCONJ
fumecheng-4792	98	47	development	development	NOUN
fumecheng-4792	98	48	[	[	X
fumecheng-4792	98	49	15	15	NUM
fumecheng-4792	98	50	]	]	PUNCT
fumecheng-4792	98	51	.	.	PUNCT
fumecheng-4792	99	1	the	the	DET
fumecheng-4792	99	2	integral	integral	ADJ
fumecheng-4792	99	3	equations	equation	NOUN
fumecheng-4792	99	4	of	of	ADP
fumecheng-4792	99	5	the	the	DET
fumecheng-4792	99	6	bem	bem	PROPN
fumecheng-4792	99	7	simplify	simplify	VERB
fumecheng-4792	99	8	to	to	ADP
fumecheng-4792	99	9	convolutions	convolution	NOUN
fumecheng-4792	99	10	when	when	SCONJ
fumecheng-4792	99	11	the	the	DET
fumecheng-4792	99	12	boundary	boundary	NOUN
fumecheng-4792	99	13	can	can	AUX
fumecheng-4792	99	14	be	be	AUX
fumecheng-4792	99	15	approximated	approximate	VERB
fumecheng-4792	99	16	as	as	ADP
fumecheng-4792	99	17	a	a	DET
fumecheng-4792	99	18	half	half	ADJ
fumecheng-4792	99	19	-	-	PUNCT
fumecheng-4792	99	20	space	space	NOUN
fumecheng-4792	99	21	surface	surface	NOUN
fumecheng-4792	99	22	.	.	PUNCT
fumecheng-4792	100	1	as	as	ADP
fumecheng-4792	100	2	such	such	ADJ
fumecheng-4792	100	3	,	,	PUNCT
fumecheng-4792	100	4	the	the	DET
fumecheng-4792	100	5	integrals	integral	NOUN
fumecheng-4792	100	6	can	can	AUX
fumecheng-4792	100	7	easily	easily	ADV
fumecheng-4792	100	8	be	be	AUX
fumecheng-4792	100	9	obtained	obtain	VERB
fumecheng-4792	100	10	with	with	ADP
fumecheng-4792	100	11	the	the	DET
fumecheng-4792	100	12	fast	fast	ADJ
fumecheng-4792	100	13	-	-	PUNCT
fumecheng-4792	100	14	fourier	fourier	NOUN
fumecheng-4792	100	15	transformation	transformation	NOUN
fumecheng-4792	100	16	(	(	PUNCT
fumecheng-4792	100	17	fft	fft	PROPN
fumecheng-4792	100	18	)	)	PUNCT
fumecheng-4792	100	19	.	.	PUNCT
fumecheng-4792	101	1	the	the	DET
fumecheng-4792	101	2	computational	computational	ADJ
fumecheng-4792	101	3	complexity	complexity	NOUN
fumecheng-4792	101	4	to	to	PART
fumecheng-4792	101	5	obtain	obtain	VERB
fumecheng-4792	101	6	the	the	DET
fumecheng-4792	101	7	deformations	deformation	NOUN
fumecheng-4792	101	8	and	and	CCONJ
fumecheng-4792	101	9	stresses	stress	NOUN
fumecheng-4792	101	10	at	at	ADP
fumecheng-4792	101	11	the	the	DET
fumecheng-4792	101	12	half	half	ADJ
fumecheng-4792	101	13	-	-	PUNCT
fumecheng-4792	101	14	space	space	NOUN
fumecheng-4792	101	15	surface	surface	NOUN
fumecheng-4792	101	16	is	be	AUX
fumecheng-4792	101	17	o(n	o(n	PROPN
fumecheng-4792	101	18	2	2	NUM
fumecheng-4792	101	19	log	log	NOUN
fumecheng-4792	101	20	n	n	CCONJ
fumecheng-4792	101	21	)	)	PUNCT
fumecheng-4792	101	22	for	for	ADP
fumecheng-4792	101	23	a	a	DET
fumecheng-4792	101	24	surface	surface	NOUN
fumecheng-4792	101	25	with	with	ADP
fumecheng-4792	101	26	nn	nn	PROPN
fumecheng-4792	101	27	discretization	discretization	NOUN
fumecheng-4792	101	28	points	point	NOUN
fumecheng-4792	101	29	.	.	PUNCT
fumecheng-4792	102	1	therein	therein	ADV
fumecheng-4792	102	2	lies	lie	VERB
fumecheng-4792	102	3	the	the	DET
fumecheng-4792	102	4	great	great	ADJ
fumecheng-4792	102	5	advantage	advantage	NOUN
fumecheng-4792	102	6	of	of	ADP
fumecheng-4792	102	7	using	use	VERB
fumecheng-4792	102	8	the	the	DET
fumecheng-4792	102	9	fft	fft	NOUN
fumecheng-4792	102	10	-	-	PUNCT
fumecheng-4792	102	11	based	base	VERB
fumecheng-4792	102	12	half	half	ADJ
fumecheng-4792	102	13	-	-	PUNCT
fumecheng-4792	102	14	space	space	NOUN
fumecheng-4792	102	15	bem	bem	NOUN
fumecheng-4792	102	16	for	for	ADP
fumecheng-4792	102	17	when	when	SCONJ
fumecheng-4792	102	18	the	the	DET
fumecheng-4792	102	19	fft	fft	NOUN
fumecheng-4792	102	20	is	be	AUX
fumecheng-4792	102	21	not	not	PART
fumecheng-4792	102	22	used	use	VERB
fumecheng-4792	102	23	and	and	CCONJ
fumecheng-4792	102	24	the	the	DET
fumecheng-4792	102	25	entire	entire	ADJ
fumecheng-4792	102	26	matrix	matrix	NOUN
fumecheng-4792	102	27	of	of	ADP
fumecheng-4792	102	28	the	the	DET
fumecheng-4792	102	29	linear	linear	ADJ
fumecheng-4792	102	30	system	system	NOUN
fumecheng-4792	102	31	is	be	AUX
fumecheng-4792	102	32	built	build	VERB
fumecheng-4792	102	33	,	,	PUNCT
fumecheng-4792	102	34	the	the	DET
fumecheng-4792	102	35	complexity	complexity	NOUN
fumecheng-4792	102	36	of	of	ADP
fumecheng-4792	102	37	the	the	DET
fumecheng-4792	102	38	bem	bem	PROPN
fumecheng-4792	102	39	is	be	AUX
fumecheng-4792	102	40	o(n	o(n	PROPN
fumecheng-4792	102	41	4	4	NUM
fumecheng-4792	102	42	)	)	PUNCT
fumecheng-4792	102	43	.	.	PUNCT
fumecheng-4792	103	1	therefore	therefore	ADV
fumecheng-4792	103	2	,	,	PUNCT
fumecheng-4792	103	3	we	we	PRON
fumecheng-4792	103	4	will	will	AUX
fumecheng-4792	103	5	for	for	AUX
fumecheng-4792	103	6	now	now	ADV
fumecheng-4792	103	7	retain	retain	VERB
fumecheng-4792	103	8	the	the	DET
fumecheng-4792	103	9	assumption	assumption	NOUN
fumecheng-4792	103	10	of	of	ADP
fumecheng-4792	103	11	a	a	DET
fumecheng-4792	103	12	half	half	ADJ
fumecheng-4792	103	13	-	-	PUNCT
fumecheng-4792	103	14	space	space	NOUN
fumecheng-4792	103	15	,	,	PUNCT
fumecheng-4792	103	16	in	in	ADP
fumecheng-4792	103	17	order	order	NOUN
fumecheng-4792	103	18	to	to	PART
fumecheng-4792	103	19	apply	apply	VERB
fumecheng-4792	103	20	this	this	DET
fumecheng-4792	103	21	well	well	ADV
fumecheng-4792	103	22	-	-	PUNCT
fumecheng-4792	103	23	known	know	VERB
fumecheng-4792	103	24	,	,	PUNCT
fumecheng-4792	103	25	established	establish	VERB
fumecheng-4792	103	26	and	and	CCONJ
fumecheng-4792	103	27	efficient	efficient	ADJ
fumecheng-4792	103	28	fft	fft	NOUN
fumecheng-4792	103	29	-	-	PUNCT
fumecheng-4792	103	30	based	base	VERB
fumecheng-4792	103	31	half	half	ADJ
fumecheng-4792	103	32	-	-	PUNCT
fumecheng-4792	103	33	space	space	NOUN
fumecheng-4792	103	34	bem	bem	NOUN
fumecheng-4792	103	35	to	to	ADP
fumecheng-4792	103	36	the	the	DET
fumecheng-4792	103	37	contact	contact	NOUN
fumecheng-4792	103	38	problem	problem	NOUN
fumecheng-4792	103	39	of	of	ADP
fumecheng-4792	103	40	the	the	DET
fumecheng-4792	103	41	fir	fir	NOUN
fumecheng-4792	103	42	-	-	PUNCT
fumecheng-4792	103	43	tree	tree	NOUN
fumecheng-4792	103	44	connection	connection	NOUN
fumecheng-4792	103	45	.	.	PUNCT
fumecheng-4792	104	1	the	the	DET
fumecheng-4792	104	2	two	two	NUM
fumecheng-4792	104	3	-	-	PUNCT
fumecheng-4792	104	4	dimensional	dimensional	ADJ
fumecheng-4792	104	5	convolution	convolution	NOUN
fumecheng-4792	104	6	one	one	NUM
fumecheng-4792	104	7	obtains	obtain	VERB
fumecheng-4792	104	8	for	for	ADP
fumecheng-4792	104	9	the	the	DET
fumecheng-4792	104	10	half	half	ADJ
fumecheng-4792	104	11	-	-	PUNCT
fumecheng-4792	104	12	space	space	NOUN
fumecheng-4792	104	13	is	be	AUX
fumecheng-4792	104	14	0	0	NUM
fumecheng-4792	104	15	0	0	NUM
fumecheng-4792	104	16	0	0	NUM
fumecheng-4792	104	17	0	0	NUM
fumecheng-4792	104	18	(	(	PUNCT
fumecheng-4792	104	19	,	,	PUNCT
fumecheng-4792	104	20	)	)	PUNCT
fumecheng-4792	104	21	(	(	PUNCT
fumecheng-4792	104	22	,	,	PUNCT
fumecheng-4792	104	23	)	)	PUNCT
fumecheng-4792	104	24	a	a	DET
fumecheng-4792	104	25	ab	ab	PROPN
fumecheng-4792	104	26	b	b	PROPN
fumecheng-4792	104	27	s	s	X
fumecheng-4792	104	28	u	u	X
fumecheng-4792	104	29	x	x	PROPN
fumecheng-4792	104	30	y	y	NOUN
fumecheng-4792	104	31	k	k	NOUN
fumecheng-4792	104	32	x	x	PUNCT
fumecheng-4792	104	33	x	x	PUNCT
fumecheng-4792	104	34	y	y	VERB
fumecheng-4792	104	35	y	y	PROPN
fumecheng-4792	104	36	dx	dx	PROPN
fumecheng-4792	104	37	dy	dy	PROPN
fumecheng-4792	104	38			PROPN
fumecheng-4792	104	39			NOUN
fumecheng-4792	104	40	(	(	PUNCT
fumecheng-4792	104	41	1	1	NUM
fumecheng-4792	104	42	)	)	PUNCT
fumecheng-4792	104	43	where	where	SCONJ
fumecheng-4792	104	44	u	u	NOUN
fumecheng-4792	104	45	is	be	AUX
fumecheng-4792	104	46	the	the	DET
fumecheng-4792	104	47	deformation	deformation	NOUN
fumecheng-4792	104	48	,	,	PUNCT
fumecheng-4792	104	49			PROPN
fumecheng-4792	104	50	is	be	AUX
fumecheng-4792	104	51	the	the	DET
fumecheng-4792	104	52	load	load	NOUN
fumecheng-4792	104	53	,	,	PUNCT
fumecheng-4792	104	54	a	a	PRON
fumecheng-4792	104	55	is	be	AUX
fumecheng-4792	104	56	the	the	DET
fumecheng-4792	104	57	direction	direction	NOUN
fumecheng-4792	104	58	of	of	ADP
fumecheng-4792	104	59	the	the	DET
fumecheng-4792	104	60	deformation	deformation	NOUN
fumecheng-4792	104	61	and	and	CCONJ
fumecheng-4792	104	62	b	b	NOUN
fumecheng-4792	104	63	is	be	AUX
fumecheng-4792	104	64	the	the	DET
fumecheng-4792	104	65	direction	direction	NOUN
fumecheng-4792	104	66	of	of	ADP
fumecheng-4792	104	67	the	the	DET
fumecheng-4792	104	68	load	load	NOUN
fumecheng-4792	104	69	,	,	PUNCT
fumecheng-4792	104	70	(	(	PUNCT
fumecheng-4792	104	71	a	a	DET
fumecheng-4792	104	72	,	,	PUNCT
fumecheng-4792	104	73	b	b	NOUN
fumecheng-4792	104	74	)	)	PUNCT
fumecheng-4792	104	75			NOUN
fumecheng-4792	104	76	{	{	PUNCT
fumecheng-4792	104	77	x	x	NOUN
fumecheng-4792	104	78	,	,	PUNCT
fumecheng-4792	104	79	y	y	PROPN
fumecheng-4792	104	80	,	,	PUNCT
fumecheng-4792	104	81	z	z	NOUN
fumecheng-4792	104	82	}	}	PUNCT
fumecheng-4792	105	1	[	[	X
fumecheng-4792	105	2	21	21	NUM
fumecheng-4792	105	3	]	]	PUNCT
fumecheng-4792	105	4	.	.	PUNCT
fumecheng-4792	106	1	typically	typically	ADV
fumecheng-4792	106	2	,	,	PUNCT
fumecheng-4792	106	3	the	the	DET
fumecheng-4792	106	4	half	half	ADJ
fumecheng-4792	106	5	-	-	PUNCT
fumecheng-4792	106	6	space	space	NOUN
fumecheng-4792	106	7	approximation	approximation	NOUN
fumecheng-4792	106	8	is	be	AUX
fumecheng-4792	106	9	used	use	VERB
fumecheng-4792	106	10	only	only	ADV
fumecheng-4792	106	11	when	when	SCONJ
fumecheng-4792	106	12	the	the	DET
fumecheng-4792	106	13	gradients	gradient	NOUN
fumecheng-4792	106	14	of	of	ADP
fumecheng-4792	106	15	the	the	DET
fumecheng-4792	106	16	surfaces	surface	NOUN
fumecheng-4792	106	17	in	in	ADP
fumecheng-4792	106	18	the	the	DET
fumecheng-4792	106	19	contact	contact	NOUN
fumecheng-4792	106	20	region	region	NOUN
fumecheng-4792	106	21	are	be	AUX
fumecheng-4792	106	22	very	very	ADV
fumecheng-4792	106	23	small	small	ADJ
fumecheng-4792	106	24	.	.	PUNCT
fumecheng-4792	107	1	this	this	PRON
fumecheng-4792	107	2	is	be	AUX
fumecheng-4792	107	3	not	not	PART
fumecheng-4792	107	4	the	the	DET
fumecheng-4792	107	5	case	case	NOUN
fumecheng-4792	107	6	for	for	ADP
fumecheng-4792	107	7	the	the	DET
fumecheng-4792	107	8	fir	fir	NOUN
fumecheng-4792	107	9	-	-	PUNCT
fumecheng-4792	107	10	tree	tree	NOUN
fumecheng-4792	107	11	.	.	PUNCT
fumecheng-4792	108	1	however	however	ADV
fumecheng-4792	108	2	,	,	PUNCT
fumecheng-4792	108	3	the	the	DET
fumecheng-4792	108	4	error	error	NOUN
fumecheng-4792	108	5	which	which	PRON
fumecheng-4792	108	6	is	be	AUX
fumecheng-4792	108	7	made	make	VERB
fumecheng-4792	108	8	can	can	AUX
fumecheng-4792	108	9	be	be	AUX
fumecheng-4792	108	10	kept	keep	VERB
fumecheng-4792	108	11	at	at	ADP
fumecheng-4792	108	12	bay	bay	NOUN
fumecheng-4792	108	13	by	by	ADP
fumecheng-4792	108	14	careful	careful	ADJ
fumecheng-4792	108	15	consideration	consideration	NOUN
fumecheng-4792	108	16	of	of	ADP
fumecheng-4792	108	17	the	the	DET
fumecheng-4792	108	18	surface	surface	NOUN
fumecheng-4792	108	19	constraints	constraint	NOUN
fumecheng-4792	108	20	such	such	ADJ
fumecheng-4792	108	21	as	as	ADP
fumecheng-4792	108	22	geometry	geometry	NOUN
fumecheng-4792	108	23	and	and	CCONJ
fumecheng-4792	108	24	friction	friction	NOUN
fumecheng-4792	108	25	of	of	ADP
fumecheng-4792	108	26	the	the	DET
fumecheng-4792	108	27	actual	actual	ADJ
fumecheng-4792	108	28	curved	curved	ADJ
fumecheng-4792	108	29	surfaces	surface	NOUN
fumecheng-4792	108	30	.	.	PUNCT
fumecheng-4792	109	1	consider	consider	VERB
fumecheng-4792	109	2	a	a	DET
fumecheng-4792	109	3	fir	fir	NOUN
fumecheng-4792	109	4	-	-	PUNCT
fumecheng-4792	109	5	tree	tree	NOUN
fumecheng-4792	109	6	connection	connection	NOUN
fumecheng-4792	109	7	and	and	CCONJ
fumecheng-4792	109	8	coordinate	coordinate	NOUN
fumecheng-4792	109	9	system	system	NOUN
fumecheng-4792	109	10	as	as	SCONJ
fumecheng-4792	109	11	displayed	display	VERB
fumecheng-4792	109	12	in	in	ADP
fumecheng-4792	109	13	fig	fig	NOUN
fumecheng-4792	109	14	.	.	PUNCT
fumecheng-4792	110	1	8	8	X
fumecheng-4792	110	2	.	.	X
fumecheng-4792	111	1	unlike	unlike	ADP
fumecheng-4792	111	2	in	in	ADP
fumecheng-4792	111	3	the	the	DET
fumecheng-4792	111	4	previous	previous	ADJ
fumecheng-4792	111	5	section	section	NOUN
fumecheng-4792	111	6	where	where	SCONJ
fumecheng-4792	111	7	the	the	DET
fumecheng-4792	111	8	half	half	ADJ
fumecheng-4792	111	9	-	-	PUNCT
fumecheng-4792	111	10	space	space	NOUN
fumecheng-4792	111	11	was	be	AUX
fumecheng-4792	111	12	aligned	align	VERB
fumecheng-4792	111	13	with	with	ADP
fumecheng-4792	111	14	the	the	DET
fumecheng-4792	111	15	contacting	contact	VERB
fumecheng-4792	111	16	surfaces	surface	NOUN
fumecheng-4792	111	17	of	of	ADP
fumecheng-4792	111	18	the	the	DET
fumecheng-4792	111	19	single	single	ADJ
fumecheng-4792	111	20	lobe	lobe	NOUN
fumecheng-4792	111	21	,	,	PUNCT
fumecheng-4792	111	22	the	the	DET
fumecheng-4792	111	23	half	half	ADJ
fumecheng-4792	111	24	-	-	PUNCT
fumecheng-4792	111	25	space	space	NOUN
fumecheng-4792	111	26	is	be	AUX
fumecheng-4792	111	27	now	now	ADV
fumecheng-4792	111	28	placed	place	VERB
fumecheng-4792	111	29	along	along	ADP
fumecheng-4792	111	30	the	the	DET
fumecheng-4792	111	31	x	x	PROPN
fumecheng-4792	111	32	-	-	PROPN
fumecheng-4792	111	33	y	y	ADJ
fumecheng-4792	111	34	plane	plane	NOUN
fumecheng-4792	111	35	in	in	ADP
fumecheng-4792	111	36	fig	fig	NOUN
fumecheng-4792	111	37	.	.	PUNCT
fumecheng-4792	112	1	8	8	NUM
fumecheng-4792	112	2	to	to	PART
fumecheng-4792	112	3	run	run	VERB
fumecheng-4792	112	4	through	through	ADP
fumecheng-4792	112	5	the	the	DET
fumecheng-4792	112	6	entire	entire	ADJ
fumecheng-4792	112	7	fir	fir	NOUN
fumecheng-4792	112	8	-	-	PUNCT
fumecheng-4792	112	9	tree	tree	NOUN
fumecheng-4792	112	10	connection	connection	NOUN
fumecheng-4792	112	11	.	.	PUNCT
fumecheng-4792	113	1	the	the	DET
fumecheng-4792	113	2	half	half	ADJ
fumecheng-4792	113	3	-	-	PUNCT
fumecheng-4792	113	4	space	space	NOUN
fumecheng-4792	113	5	surface	surface	NOUN
fumecheng-4792	113	6	can	can	AUX
fumecheng-4792	113	7	then	then	ADV
fumecheng-4792	113	8	be	be	AUX
fumecheng-4792	113	9	imagined	imagine	VERB
fumecheng-4792	113	10	to	to	PART
fumecheng-4792	113	11	be	be	AUX
fumecheng-4792	113	12	perturbed	perturb	VERB
fumecheng-4792	113	13	from	from	ADP
fumecheng-4792	113	14	its	its	PRON
fumecheng-4792	113	15	original	original	ADJ
fumecheng-4792	113	16	flat	flat	ADJ
fumecheng-4792	113	17	state	state	NOUN
fumecheng-4792	113	18	to	to	ADP
fumecheng-4792	113	19	the	the	DET
fumecheng-4792	113	20	highly	highly	ADV
fumecheng-4792	113	21	undulating	undulating	ADJ
fumecheng-4792	113	22	shape	shape	NOUN
fumecheng-4792	113	23	in	in	ADP
fumecheng-4792	113	24	the	the	DET
fumecheng-4792	113	25	z	z	NOUN
fumecheng-4792	113	26	-	-	NOUN
fumecheng-4792	113	27	direction	direction	NOUN
fumecheng-4792	113	28	.	.	PUNCT
fumecheng-4792	114	1	as	as	ADP
fumecheng-4792	114	2	a	a	DET
fumecheng-4792	114	3	first	first	ADJ
fumecheng-4792	114	4	step	step	NOUN
fumecheng-4792	114	5	,	,	PUNCT
fumecheng-4792	114	6	it	it	PRON
fumecheng-4792	114	7	numerical	numerical	ADJ
fumecheng-4792	114	8	methods	method	NOUN
fumecheng-4792	114	9	for	for	ADP
fumecheng-4792	114	10	simulation	simulation	NOUN
fumecheng-4792	114	11	of	of	ADP
fumecheng-4792	114	12	deformations	deformation	NOUN
fumecheng-4792	114	13	and	and	CCONJ
fumecheng-4792	114	14	stresses	stress	NOUN
fumecheng-4792	114	15	in	in	ADP
fumecheng-4792	114	16	turbine	turbine	NOUN
fumecheng-4792	114	17	blade	blade	NOUN
fumecheng-4792	114	18	fir	fir	NOUN
fumecheng-4792	114	19	-	-	PUNCT
fumecheng-4792	114	20	tree	tree	NOUN
fumecheng-4792	114	21	connections	connection	NOUN
fumecheng-4792	114	22	7	7	NUM
fumecheng-4792	114	23	shall	shall	AUX
fumecheng-4792	114	24	also	also	ADV
fumecheng-4792	114	25	be	be	AUX
fumecheng-4792	114	26	assumed	assume	VERB
fumecheng-4792	114	27	that	that	SCONJ
fumecheng-4792	114	28	one	one	NUM
fumecheng-4792	114	29	of	of	ADP
fumecheng-4792	114	30	the	the	DET
fumecheng-4792	114	31	contact	contact	NOUN
fumecheng-4792	114	32	partners	partner	NOUN
fumecheng-4792	114	33	is	be	AUX
fumecheng-4792	114	34	elastic	elastic	ADJ
fumecheng-4792	114	35	and	and	CCONJ
fumecheng-4792	114	36	the	the	DET
fumecheng-4792	114	37	other	other	ADJ
fumecheng-4792	114	38	is	be	AUX
fumecheng-4792	114	39	rigid	rigid	ADJ
fumecheng-4792	114	40	.	.	PUNCT
fumecheng-4792	115	1	this	this	PRON
fumecheng-4792	115	2	is	be	AUX
fumecheng-4792	115	3	a	a	DET
fumecheng-4792	115	4	common	common	ADJ
fumecheng-4792	115	5	approach	approach	NOUN
fumecheng-4792	115	6	in	in	ADP
fumecheng-4792	115	7	many	many	ADJ
fumecheng-4792	115	8	problems	problem	NOUN
fumecheng-4792	115	9	in	in	ADP
fumecheng-4792	115	10	contact	contact	NOUN
fumecheng-4792	115	11	mechanics	mechanic	NOUN
fumecheng-4792	115	12	.	.	PUNCT
fumecheng-4792	116	1	once	once	SCONJ
fumecheng-4792	116	2	the	the	DET
fumecheng-4792	116	3	solution	solution	NOUN
fumecheng-4792	116	4	is	be	AUX
fumecheng-4792	116	5	obtained	obtain	VERB
fumecheng-4792	116	6	it	it	PRON
fumecheng-4792	116	7	can	can	AUX
fumecheng-4792	116	8	generally	generally	ADV
fumecheng-4792	116	9	be	be	AUX
fumecheng-4792	116	10	transformed	transform	VERB
fumecheng-4792	116	11	back	back	ADV
fumecheng-4792	116	12	to	to	ADP
fumecheng-4792	116	13	the	the	DET
fumecheng-4792	116	14	original	original	ADJ
fumecheng-4792	116	15	problem	problem	NOUN
fumecheng-4792	116	16	with	with	ADP
fumecheng-4792	116	17	the	the	DET
fumecheng-4792	116	18	knowledge	knowledge	NOUN
fumecheng-4792	116	19	of	of	ADP
fumecheng-4792	116	20	the	the	DET
fumecheng-4792	116	21	elastic	elastic	ADJ
fumecheng-4792	116	22	properties	property	NOUN
fumecheng-4792	116	23	of	of	ADP
fumecheng-4792	116	24	the	the	DET
fumecheng-4792	116	25	contacting	contact	VERB
fumecheng-4792	116	26	bodies	body	NOUN
fumecheng-4792	116	27	[	[	X
fumecheng-4792	116	28	6	6	NUM
fumecheng-4792	116	29	]	]	PUNCT
fumecheng-4792	116	30	,	,	PUNCT
fumecheng-4792	116	31	[	[	X
fumecheng-4792	116	32	22	22	NUM
fumecheng-4792	116	33	]	]	PUNCT
fumecheng-4792	116	34	.	.	PUNCT
fumecheng-4792	117	1	the	the	DET
fumecheng-4792	117	2	disk	disk	NOUN
fumecheng-4792	117	3	shall	shall	AUX
fumecheng-4792	117	4	be	be	AUX
fumecheng-4792	117	5	modeled	model	VERB
fumecheng-4792	117	6	as	as	ADP
fumecheng-4792	117	7	an	an	DET
fumecheng-4792	117	8	elastic	elastic	ADJ
fumecheng-4792	117	9	half	half	ADJ
fumecheng-4792	117	10	-	-	PUNCT
fumecheng-4792	117	11	space	space	NOUN
fumecheng-4792	117	12	,	,	PUNCT
fumecheng-4792	117	13	and	and	CCONJ
fumecheng-4792	117	14	the	the	DET
fumecheng-4792	117	15	blade	blade	NOUN
fumecheng-4792	117	16	shall	shall	AUX
fumecheng-4792	117	17	be	be	AUX
fumecheng-4792	117	18	modeled	model	VERB
fumecheng-4792	117	19	as	as	ADP
fumecheng-4792	117	20	a	a	DET
fumecheng-4792	117	21	rigid	rigid	ADJ
fumecheng-4792	117	22	body	body	NOUN
fumecheng-4792	117	23	in	in	ADP
fumecheng-4792	117	24	the	the	DET
fumecheng-4792	117	25	following	following	NOUN
fumecheng-4792	117	26	.	.	PUNCT
fumecheng-4792	118	1	a	a	DET
fumecheng-4792	118	2	)	)	PUNCT
fumecheng-4792	118	3	b	b	NOUN
fumecheng-4792	118	4	)	)	PUNCT
fumecheng-4792	118	5	fig	fig	NOUN
fumecheng-4792	118	6	.	.	PUNCT
fumecheng-4792	119	1	8	8	NUM
fumecheng-4792	119	2	a	a	DET
fumecheng-4792	119	3	)	)	PUNCT
fumecheng-4792	119	4	geometry	geometry	NOUN
fumecheng-4792	119	5	of	of	ADP
fumecheng-4792	119	6	a	a	DET
fumecheng-4792	119	7	fir	fir	NOUN
fumecheng-4792	119	8	-	-	PUNCT
fumecheng-4792	119	9	tree	tree	NOUN
fumecheng-4792	119	10	connection	connection	NOUN
fumecheng-4792	119	11	of	of	ADP
fumecheng-4792	119	12	a	a	DET
fumecheng-4792	119	13	blade	blade	NOUN
fumecheng-4792	119	14	model	model	NOUN
fumecheng-4792	119	15	(	(	PUNCT
fumecheng-4792	119	16	light	light	NOUN
fumecheng-4792	119	17	brown	brown	NOUN
fumecheng-4792	119	18	)	)	PUNCT
fumecheng-4792	119	19	and	and	CCONJ
fumecheng-4792	119	20	a	a	DET
fumecheng-4792	119	21	disk	disk	NOUN
fumecheng-4792	119	22	model	model	NOUN
fumecheng-4792	119	23	(	(	PUNCT
fumecheng-4792	119	24	light	light	ADJ
fumecheng-4792	119	25	blue	blue	NOUN
fumecheng-4792	119	26	)	)	PUNCT
fumecheng-4792	119	27	.	.	PUNCT
fumecheng-4792	120	1	a	a	DET
fumecheng-4792	120	2	rectangular	rectangular	ADJ
fumecheng-4792	120	3	block	block	NOUN
fumecheng-4792	120	4	is	be	AUX
fumecheng-4792	120	5	cut	cut	VERB
fumecheng-4792	120	6	out	out	ADP
fumecheng-4792	120	7	of	of	ADP
fumecheng-4792	120	8	the	the	DET
fumecheng-4792	120	9	disk	disk	NOUN
fumecheng-4792	120	10	model	model	NOUN
fumecheng-4792	120	11	(	(	PUNCT
fumecheng-4792	120	12	sections	section	NOUN
fumecheng-4792	120	13	are	be	AUX
fumecheng-4792	120	14	displayed	display	VERB
fumecheng-4792	120	15	yellow	yellow	ADJ
fumecheng-4792	120	16	)	)	PUNCT
fumecheng-4792	120	17	to	to	PART
fumecheng-4792	120	18	reveal	reveal	VERB
fumecheng-4792	120	19	the	the	DET
fumecheng-4792	120	20	global	global	ADJ
fumecheng-4792	120	21	coordinate	coordinate	NOUN
fumecheng-4792	120	22	system	system	NOUN
fumecheng-4792	120	23	and	and	CCONJ
fumecheng-4792	120	24	the	the	DET
fumecheng-4792	120	25	2d	2d	PROPN
fumecheng-4792	120	26	curves	curve	NOUN
fumecheng-4792	120	27	(	(	PUNCT
fumecheng-4792	120	28	blue	blue	ADJ
fumecheng-4792	120	29	and	and	CCONJ
fumecheng-4792	120	30	red	red	ADJ
fumecheng-4792	120	31	)	)	PUNCT
fumecheng-4792	120	32	.	.	PUNCT
fumecheng-4792	121	1	b	b	X
fumecheng-4792	121	2	)	)	PUNCT
fumecheng-4792	121	3	extrusion	extrusion	NOUN
fumecheng-4792	121	4	along	along	ADP
fumecheng-4792	121	5	the	the	DET
fumecheng-4792	121	6	y	y	NOUN
fumecheng-4792	121	7	-	-	PUNCT
fumecheng-4792	121	8	axis	axis	NOUN
fumecheng-4792	121	9	of	of	ADP
fumecheng-4792	121	10	the	the	DET
fumecheng-4792	121	11	2d	2d	NOUN
fumecheng-4792	121	12	curves	curve	NOUN
fumecheng-4792	121	13	and	and	CCONJ
fumecheng-4792	121	14	contact	contact	NOUN
fumecheng-4792	121	15	area	area	NOUN
fumecheng-4792	121	16	(	(	PUNCT
fumecheng-4792	121	17	green	green	ADJ
fumecheng-4792	121	18	markers	marker	NOUN
fumecheng-4792	121	19	)	)	PUNCT
fumecheng-4792	121	20	for	for	ADP
fumecheng-4792	121	21	an	an	DET
fumecheng-4792	121	22	exemplary	exemplary	ADJ
fumecheng-4792	121	23	indentation	indentation	NOUN
fumecheng-4792	121	24	in	in	ADP
fumecheng-4792	121	25	x	x	NOUN
fumecheng-4792	121	26	-	-	NOUN
fumecheng-4792	121	27	direction	direction	NOUN
fumecheng-4792	121	28	.	.	PUNCT
fumecheng-4792	122	1	the	the	DET
fumecheng-4792	122	2	disk	disk	NOUN
fumecheng-4792	122	3	is	be	AUX
fumecheng-4792	122	4	modeled	model	VERB
fumecheng-4792	122	5	as	as	ADP
fumecheng-4792	122	6	an	an	DET
fumecheng-4792	122	7	elastic	elastic	ADJ
fumecheng-4792	122	8	half	half	ADJ
fumecheng-4792	122	9	-	-	PUNCT
fumecheng-4792	122	10	space	space	NOUN
fumecheng-4792	122	11	and	and	CCONJ
fumecheng-4792	122	12	the	the	DET
fumecheng-4792	122	13	turbine	turbine	NOUN
fumecheng-4792	122	14	blade	blade	NOUN
fumecheng-4792	122	15	as	as	ADP
fumecheng-4792	122	16	a	a	DET
fumecheng-4792	122	17	rigid	rigid	ADJ
fumecheng-4792	122	18	indenter	indenter	NOUN
fumecheng-4792	122	19	.	.	PUNCT
fumecheng-4792	123	1	the	the	DET
fumecheng-4792	123	2	black	black	ADJ
fumecheng-4792	123	3	discretization	discretization	NOUN
fumecheng-4792	123	4	points	point	NOUN
fumecheng-4792	123	5	of	of	ADP
fumecheng-4792	123	6	the	the	DET
fumecheng-4792	123	7	turbine	turbine	NOUN
fumecheng-4792	123	8	blade	blade	NOUN
fumecheng-4792	123	9	surface	surface	NOUN
fumecheng-4792	123	10	are	be	AUX
fumecheng-4792	123	11	given	give	VERB
fumecheng-4792	123	12	by	by	ADP
fumecheng-4792	123	13	a	a	DET
fumecheng-4792	123	14	linear	linear	ADJ
fumecheng-4792	123	15	interpolation	interpolation	NOUN
fumecheng-4792	123	16	of	of	ADP
fumecheng-4792	123	17	the	the	DET
fumecheng-4792	123	18	disk	disk	NOUN
fumecheng-4792	123	19	surface	surface	NOUN
fumecheng-4792	123	20	discretization	discretization	NOUN
fumecheng-4792	123	21	points	point	VERB
fumecheng-4792	123	22	onto	onto	ADP
fumecheng-4792	123	23	the	the	DET
fumecheng-4792	123	24	turbine	turbine	NOUN
fumecheng-4792	123	25	blade	blade	NOUN
fumecheng-4792	123	26	surface	surface	NOUN
fumecheng-4792	123	27	along	along	ADP
fumecheng-4792	123	28	the	the	DET
fumecheng-4792	123	29	x	x	NOUN
fumecheng-4792	123	30	-	-	NOUN
fumecheng-4792	123	31	axis	axis	ADJ
fumecheng-4792	123	32	.	.	PUNCT
fumecheng-4792	124	1	for	for	ADP
fumecheng-4792	124	2	visualization	visualization	NOUN
fumecheng-4792	124	3	purposes	purpose	NOUN
fumecheng-4792	124	4	the	the	DET
fumecheng-4792	124	5	extrusion	extrusion	ADJ
fumecheng-4792	124	6	width	width	NOUN
fumecheng-4792	124	7	shown	show	VERB
fumecheng-4792	124	8	here	here	ADV
fumecheng-4792	124	9	is	be	AUX
fumecheng-4792	124	10	small	small	ADJ
fumecheng-4792	124	11	and	and	CCONJ
fumecheng-4792	124	12	only	only	ADV
fumecheng-4792	124	13	a	a	DET
fumecheng-4792	124	14	rough	rough	ADJ
fumecheng-4792	124	15	discretization	discretization	NOUN
fumecheng-4792	124	16	is	be	AUX
fumecheng-4792	124	17	displayed	display	VERB
fumecheng-4792	124	18	.	.	PUNCT
fumecheng-4792	125	1	the	the	DET
fumecheng-4792	125	2	beginning	beginning	NOUN
fumecheng-4792	125	3	and	and	CCONJ
fumecheng-4792	125	4	end	end	NOUN
fumecheng-4792	125	5	of	of	ADP
fumecheng-4792	125	6	the	the	DET
fumecheng-4792	125	7	extrusion	extrusion	NOUN
fumecheng-4792	125	8	of	of	ADP
fumecheng-4792	125	9	the	the	DET
fumecheng-4792	125	10	turbine	turbine	NOUN
fumecheng-4792	125	11	blade	blade	NOUN
fumecheng-4792	125	12	profile	profile	NOUN
fumecheng-4792	125	13	are	be	AUX
fumecheng-4792	125	14	slightly	slightly	ADV
fumecheng-4792	125	15	rounded	rounded	ADJ
fumecheng-4792	125	16	of	of	ADP
fumecheng-4792	125	17	in	in	ADP
fumecheng-4792	125	18	the	the	DET
fumecheng-4792	125	19	direction	direction	NOUN
fumecheng-4792	125	20	of	of	ADP
fumecheng-4792	125	21	lower	low	ADJ
fumecheng-4792	125	22	x	x	PUNCT
fumecheng-4792	125	23	to	to	PART
fumecheng-4792	125	24	ensure	ensure	VERB
fumecheng-4792	125	25	a	a	DET
fumecheng-4792	125	26	smooth	smooth	ADJ
fumecheng-4792	125	27	indentation	indentation	NOUN
fumecheng-4792	125	28	at	at	ADP
fumecheng-4792	125	29	these	these	DET
fumecheng-4792	125	30	edges	edge	NOUN
fumecheng-4792	125	31	.	.	PUNCT
fumecheng-4792	126	1	image	image	NOUN
fumecheng-4792	126	2	used	use	VERB
fumecheng-4792	126	3	with	with	ADP
fumecheng-4792	126	4	the	the	DET
fumecheng-4792	126	5	kind	kind	ADJ
fumecheng-4792	126	6	permission	permission	NOUN
fumecheng-4792	126	7	of	of	ADP
fumecheng-4792	126	8	rolls	roll	NOUN
fumecheng-4792	126	9	-	-	PUNCT
fumecheng-4792	126	10	royce	royce	NOUN
fumecheng-4792	126	11	fig	fig	NOUN
fumecheng-4792	126	12	.	.	PUNCT
fumecheng-4792	127	1	9	9	NUM
fumecheng-4792	127	2	left	leave	VERB
fumecheng-4792	127	3	:	:	PUNCT
fumecheng-4792	127	4	components	component	NOUN
fumecheng-4792	127	5	of	of	ADP
fumecheng-4792	127	6	a	a	DET
fumecheng-4792	127	7	shear	shear	NOUN
fumecheng-4792	127	8	stress	stress	NOUN
fumecheng-4792	127	9	τzx	τzx	VERB
fumecheng-4792	127	10	relative	relative	ADJ
fumecheng-4792	127	11	to	to	ADP
fumecheng-4792	127	12	the	the	DET
fumecheng-4792	127	13	curved	curved	ADJ
fumecheng-4792	127	14	surface	surface	NOUN
fumecheng-4792	127	15	.	.	PUNCT
fumecheng-4792	128	1	τ	τ	X
fumecheng-4792	128	2	*	*	PUNCT
fumecheng-4792	128	3	can	can	AUX
fumecheng-4792	128	4	not	not	PART
fumecheng-4792	128	5	be	be	AUX
fumecheng-4792	128	6	maintained	maintain	VERB
fumecheng-4792	128	7	because	because	SCONJ
fumecheng-4792	128	8	(	(	PUNCT
fumecheng-4792	128	9	3	3	X
fumecheng-4792	128	10	)	)	PUNCT
fumecheng-4792	128	11	is	be	AUX
fumecheng-4792	128	12	not	not	PART
fumecheng-4792	128	13	fulfilled	fulfil	VERB
fumecheng-4792	128	14	.	.	PUNCT
fumecheng-4792	129	1	right	right	ADV
fumecheng-4792	129	2	:	:	PUNCT
fumecheng-4792	129	3	the	the	DET
fumecheng-4792	129	4	grid	grid	NOUN
fumecheng-4792	129	5	point	point	NOUN
fumecheng-4792	129	6	of	of	ADP
fumecheng-4792	129	7	the	the	DET
fumecheng-4792	129	8	disk	disk	NOUN
fumecheng-4792	129	9	(	(	PUNCT
fumecheng-4792	129	10	blue	blue	NOUN
fumecheng-4792	129	11	)	)	PUNCT
fumecheng-4792	129	12	has	have	AUX
fumecheng-4792	129	13	now	now	ADV
fumecheng-4792	129	14	slid	slide	VERB
fumecheng-4792	129	15	down	down	ADP
fumecheng-4792	129	16	along	along	ADP
fumecheng-4792	129	17	the	the	DET
fumecheng-4792	129	18	rigid	rigid	ADJ
fumecheng-4792	129	19	profile	profile	NOUN
fumecheng-4792	129	20	to	to	ADP
fumecheng-4792	129	21	its	its	PRON
fumecheng-4792	129	22	equilibrium	equilibrium	NOUN
fumecheng-4792	129	23	position	position	NOUN
fumecheng-4792	129	24	where	where	SCONJ
fumecheng-4792	129	25	τ	τ	X
fumecheng-4792	129	26	*	*	PUNCT
fumecheng-4792	130	1	=	=	NOUN
fumecheng-4792	130	2	μp	μp	ADP
fumecheng-4792	130	3	*	*	PUNCT
fumecheng-4792	130	4	.	.	PUNCT
fumecheng-4792	131	1	this	this	PRON
fumecheng-4792	131	2	results	result	VERB
fumecheng-4792	131	3	in	in	ADP
fumecheng-4792	131	4	a	a	DET
fumecheng-4792	131	5	lower	low	ADJ
fumecheng-4792	131	6	τzx	τzx	NOUN
fumecheng-4792	131	7	and	and	CCONJ
fumecheng-4792	131	8	a	a	DET
fumecheng-4792	131	9	new	new	ADJ
fumecheng-4792	131	10	component	component	NOUN
fumecheng-4792	131	11	p	p	NOUN
fumecheng-4792	131	12	relative	relative	ADJ
fumecheng-4792	131	13	to	to	ADP
fumecheng-4792	131	14	the	the	DET
fumecheng-4792	131	15	even	even	ADJ
fumecheng-4792	131	16	half	half	ADJ
fumecheng-4792	131	17	-	-	PUNCT
fumecheng-4792	131	18	space	space	NOUN
fumecheng-4792	131	19	surface	surface	NOUN
fumecheng-4792	131	20	.	.	PUNCT
fumecheng-4792	132	1	image	image	NOUN
fumecheng-4792	132	2	used	use	VERB
fumecheng-4792	132	3	with	with	ADP
fumecheng-4792	132	4	the	the	DET
fumecheng-4792	132	5	kind	kind	ADJ
fumecheng-4792	132	6	permission	permission	NOUN
fumecheng-4792	132	7	of	of	ADP
fumecheng-4792	132	8	rolls	roll	NOUN
fumecheng-4792	132	9	-	-	PUNCT
fumecheng-4792	132	10	royce	royce	NOUN
fumecheng-4792	132	11	.	.	PUNCT
fumecheng-4792	133	1	8	8	NUM
fumecheng-4792	133	2	j.	j.	PROPN
fumecheng-4792	133	3	benad	benad	PROPN
fumecheng-4792	133	4	consider	consider	VERB
fumecheng-4792	133	5	now	now	ADV
fumecheng-4792	133	6	a	a	DET
fumecheng-4792	133	7	single	single	ADJ
fumecheng-4792	133	8	grid	grid	NOUN
fumecheng-4792	133	9	point	point	NOUN
fumecheng-4792	133	10	on	on	ADP
fumecheng-4792	133	11	the	the	DET
fumecheng-4792	133	12	disk	disk	NOUN
fumecheng-4792	133	13	profile	profile	NOUN
fumecheng-4792	133	14	.	.	PUNCT
fumecheng-4792	134	1	for	for	ADP
fumecheng-4792	134	2	some	some	DET
fumecheng-4792	134	3	indentation	indentation	NOUN
fumecheng-4792	134	4	,	,	PUNCT
fumecheng-4792	134	5	that	that	PRON
fumecheng-4792	134	6	is	be	AUX
fumecheng-4792	134	7	the	the	DET
fumecheng-4792	134	8	displacement	displacement	NOUN
fumecheng-4792	134	9	of	of	ADP
fumecheng-4792	134	10	the	the	DET
fumecheng-4792	134	11	blade	blade	NOUN
fumecheng-4792	134	12	in	in	ADP
fumecheng-4792	134	13	the	the	DET
fumecheng-4792	134	14	x	x	NOUN
fumecheng-4792	134	15	-	-	NOUN
fumecheng-4792	134	16	direction	direction	NOUN
fumecheng-4792	134	17	from	from	ADP
fumecheng-4792	134	18	its	its	PRON
fumecheng-4792	134	19	position	position	NOUN
fumecheng-4792	134	20	of	of	ADP
fumecheng-4792	134	21	first	first	ADJ
fumecheng-4792	134	22	contact	contact	NOUN
fumecheng-4792	134	23	,	,	PUNCT
fumecheng-4792	134	24	the	the	DET
fumecheng-4792	134	25	point	point	NOUN
fumecheng-4792	134	26	on	on	ADP
fumecheng-4792	134	27	the	the	DET
fumecheng-4792	134	28	disk	disk	NOUN
fumecheng-4792	134	29	is	be	AUX
fumecheng-4792	134	30	also	also	ADV
fumecheng-4792	134	31	deflected	deflect	VERB
fumecheng-4792	134	32	in	in	ADP
fumecheng-4792	134	33	the	the	DET
fumecheng-4792	134	34	direction	direction	NOUN
fumecheng-4792	134	35	of	of	ADP
fumecheng-4792	134	36	the	the	DET
fumecheng-4792	134	37	x	x	NOUN
fumecheng-4792	134	38	-	-	NOUN
fumecheng-4792	134	39	axis	axis	NOUN
fumecheng-4792	134	40	by	by	ADP
fumecheng-4792	134	41	a	a	DET
fumecheng-4792	134	42	small	small	ADJ
fumecheng-4792	134	43	distance	distance	NOUN
fumecheng-4792	134	44	ux	ux	PROPN
fumecheng-4792	134	45	.	.	PUNCT
fumecheng-4792	135	1	as	as	SCONJ
fumecheng-4792	135	2	the	the	DET
fumecheng-4792	135	3	disk	disk	NOUN
fumecheng-4792	135	4	profile	profile	NOUN
fumecheng-4792	135	5	is	be	AUX
fumecheng-4792	135	6	modeled	model	VERB
fumecheng-4792	135	7	as	as	ADP
fumecheng-4792	135	8	an	an	DET
fumecheng-4792	135	9	elastic	elastic	ADJ
fumecheng-4792	135	10	half	half	ADJ
fumecheng-4792	135	11	-	-	PUNCT
fumecheng-4792	135	12	space	space	NOUN
fumecheng-4792	135	13	it	it	PRON
fumecheng-4792	135	14	can	can	AUX
fumecheng-4792	135	15	be	be	AUX
fumecheng-4792	135	16	regarded	regard	VERB
fumecheng-4792	135	17	as	as	ADP
fumecheng-4792	135	18	even	even	ADV
fumecheng-4792	135	19	for	for	ADP
fumecheng-4792	135	20	the	the	DET
fumecheng-4792	135	21	determination	determination	NOUN
fumecheng-4792	135	22	of	of	ADP
fumecheng-4792	135	23	the	the	DET
fumecheng-4792	135	24	dependencies	dependency	NOUN
fumecheng-4792	135	25	of	of	ADP
fumecheng-4792	135	26	surface	surface	NOUN
fumecheng-4792	135	27	deformations	deformation	NOUN
fumecheng-4792	135	28	and	and	CCONJ
fumecheng-4792	135	29	forces	force	NOUN
fumecheng-4792	135	30	.	.	PUNCT
fumecheng-4792	136	1	under	under	ADP
fumecheng-4792	136	2	the	the	DET
fumecheng-4792	136	3	assumption	assumption	NOUN
fumecheng-4792	136	4	that	that	SCONJ
fumecheng-4792	136	5	the	the	DET
fumecheng-4792	136	6	normal	normal	ADJ
fumecheng-4792	136	7	and	and	CCONJ
fumecheng-4792	136	8	tangential	tangential	ADJ
fumecheng-4792	136	9	problem	problem	NOUN
fumecheng-4792	136	10	are	be	AUX
fumecheng-4792	136	11	decoupled	decouple	VERB
fumecheng-4792	136	12	at	at	ADP
fumecheng-4792	136	13	the	the	DET
fumecheng-4792	136	14	even	even	ADJ
fumecheng-4792	136	15	half	half	ADJ
fumecheng-4792	136	16	-	-	PUNCT
fumecheng-4792	136	17	space	space	NOUN
fumecheng-4792	136	18	surface	surface	NOUN
fumecheng-4792	136	19	[	[	X
fumecheng-4792	136	20	21	21	NUM
fumecheng-4792	136	21	]	]	PUNCT
fumecheng-4792	136	22	the	the	DET
fumecheng-4792	136	23	deflection	deflection	NOUN
fumecheng-4792	136	24	in	in	ADP
fumecheng-4792	136	25	the	the	DET
fumecheng-4792	136	26	direction	direction	NOUN
fumecheng-4792	136	27	of	of	ADP
fumecheng-4792	136	28	the	the	DET
fumecheng-4792	136	29	x	x	NOUN
fumecheng-4792	136	30	-	-	ADJ
fumecheng-4792	136	31	axis	axis	NOUN
fumecheng-4792	136	32	is	be	AUX
fumecheng-4792	136	33	caused	cause	VERB
fumecheng-4792	136	34	by	by	ADP
fumecheng-4792	136	35	a	a	DET
fumecheng-4792	136	36	shear	shear	NOUN
fumecheng-4792	136	37	stress	stress	NOUN
fumecheng-4792	136	38	τzx	τzx	NOUN
fumecheng-4792	136	39	at	at	ADP
fumecheng-4792	136	40	the	the	DET
fumecheng-4792	136	41	grid	grid	NOUN
fumecheng-4792	136	42	point	point	NOUN
fumecheng-4792	136	43	.	.	PUNCT
fumecheng-4792	137	1	however	however	ADV
fumecheng-4792	137	2	,	,	PUNCT
fumecheng-4792	137	3	in	in	ADP
fumecheng-4792	137	4	order	order	NOUN
fumecheng-4792	137	5	to	to	PART
fumecheng-4792	137	6	model	model	VERB
fumecheng-4792	137	7	the	the	DET
fumecheng-4792	137	8	friction	friction	NOUN
fumecheng-4792	137	9	conditions	condition	NOUN
fumecheng-4792	137	10	,	,	PUNCT
fumecheng-4792	137	11	the	the	DET
fumecheng-4792	137	12	components	component	NOUN
fumecheng-4792	137	13	of	of	ADP
fumecheng-4792	137	14	the	the	DET
fumecheng-4792	137	15	stress	stress	NOUN
fumecheng-4792	137	16	at	at	ADP
fumecheng-4792	137	17	the	the	DET
fumecheng-4792	137	18	grid	grid	NOUN
fumecheng-4792	137	19	point	point	NOUN
fumecheng-4792	137	20	relative	relative	ADJ
fumecheng-4792	137	21	to	to	ADP
fumecheng-4792	137	22	the	the	DET
fumecheng-4792	137	23	actual	actual	ADJ
fumecheng-4792	137	24	curved	curved	ADJ
fumecheng-4792	137	25	surface	surface	NOUN
fumecheng-4792	137	26	*	*	PUNCT
fumecheng-4792	137	27	*	*	PUNCT
fumecheng-4792	137	28	cos	cos	ADP
fumecheng-4792	137	29	sin	sin	NOUN
fumecheng-4792	137	30	,	,	PUNCT
fumecheng-4792	137	31	sin	sin	PROPN
fumecheng-4792	137	32	cos	cos	PROPN
fumecheng-4792	137	33	.	.	PROPN
fumecheng-4792	137	34	zx	zx	PROPN
fumecheng-4792	138	1	zx	zx	INTJ
fumecheng-4792	138	2	p	p	NOUN
fumecheng-4792	139	1	p	p	X
fumecheng-4792	139	2	p	p	NOUN
fumecheng-4792	139	3			NOUN
fumecheng-4792	139	4			NOUN
fumecheng-4792	139	5			X
fumecheng-4792	139	6			X
fumecheng-4792	139	7			NOUN
fumecheng-4792	139	8			NOUN
fumecheng-4792	139	9			X
fumecheng-4792	139	10			PROPN
fumecheng-4792	139	11			PROPN
fumecheng-4792	139	12			PRON
fumecheng-4792	139	13			PUNCT
fumecheng-4792	139	14	(	(	PUNCT
fumecheng-4792	139	15	2	2	X
fumecheng-4792	139	16	)	)	PUNCT
fumecheng-4792	139	17	need	need	VERB
fumecheng-4792	139	18	to	to	PART
fumecheng-4792	139	19	be	be	AUX
fumecheng-4792	139	20	considered	consider	VERB
fumecheng-4792	139	21	.	.	PUNCT
fumecheng-4792	140	1	this	this	PRON
fumecheng-4792	140	2	is	be	AUX
fumecheng-4792	140	3	illustrated	illustrate	VERB
fumecheng-4792	140	4	in	in	ADP
fumecheng-4792	140	5	fig	fig	NOUN
fumecheng-4792	140	6	.	.	PUNCT
fumecheng-4792	141	1	9	9	X
fumecheng-4792	141	2	.	.	X
fumecheng-4792	141	3	assuming	assume	VERB
fumecheng-4792	141	4	there	there	PRON
fumecheng-4792	141	5	exists	exist	VERB
fumecheng-4792	141	6	friction	friction	NOUN
fumecheng-4792	141	7	according	accord	VERB
fumecheng-4792	141	8	to	to	ADP
fumecheng-4792	141	9	the	the	DET
fumecheng-4792	141	10	coulomb	coulomb	NOUN
fumecheng-4792	141	11	’s	’s	PART
fumecheng-4792	141	12	law	law	NOUN
fumecheng-4792	141	13	of	of	ADP
fumecheng-4792	141	14	friction	friction	NOUN
fumecheng-4792	141	15	in	in	ADP
fumecheng-4792	141	16	its	its	PRON
fumecheng-4792	141	17	simplest	simple	ADJ
fumecheng-4792	141	18	form	form	NOUN
fumecheng-4792	141	19	[	[	X
fumecheng-4792	141	20	23	23	NUM
fumecheng-4792	141	21	]	]	PUNCT
fumecheng-4792	141	22	,	,	PUNCT
fumecheng-4792	141	23	it	it	PRON
fumecheng-4792	141	24	has	have	VERB
fumecheng-4792	141	25	to	to	PART
fumecheng-4792	141	26	be	be	AUX
fumecheng-4792	141	27	*	*	PUNCT
fumecheng-4792	141	28	*	*	PUNCT
fumecheng-4792	141	29	p	p	PROPN
fumecheng-4792	141	30			NOUN
fumecheng-4792	141	31	(	(	PUNCT
fumecheng-4792	141	32	3	3	NUM
fumecheng-4792	141	33	)	)	PUNCT
fumecheng-4792	141	34	so	so	SCONJ
fumecheng-4792	141	35	that	that	SCONJ
fumecheng-4792	141	36	the	the	DET
fumecheng-4792	141	37	equilibrium	equilibrium	NOUN
fumecheng-4792	141	38	can	can	AUX
fumecheng-4792	141	39	be	be	AUX
fumecheng-4792	141	40	maintained	maintain	VERB
fumecheng-4792	141	41	.	.	PUNCT
fumecheng-4792	142	1	otherwise	otherwise	ADV
fumecheng-4792	142	2	,	,	PUNCT
fumecheng-4792	142	3	the	the	DET
fumecheng-4792	142	4	point	point	NOUN
fumecheng-4792	142	5	will	will	AUX
fumecheng-4792	142	6	slide	slide	VERB
fumecheng-4792	142	7	.	.	PUNCT
fumecheng-4792	143	1	whether	whether	SCONJ
fumecheng-4792	143	2	the	the	DET
fumecheng-4792	143	3	condition	condition	NOUN
fumecheng-4792	143	4	(	(	PUNCT
fumecheng-4792	143	5	3	3	X
fumecheng-4792	143	6	)	)	PUNCT
fumecheng-4792	143	7	is	be	AUX
fumecheng-4792	143	8	fulfilled	fulfil	VERB
fumecheng-4792	143	9	depends	depend	VERB
fumecheng-4792	143	10	only	only	ADV
fumecheng-4792	143	11	on	on	ADP
fumecheng-4792	143	12	the	the	DET
fumecheng-4792	143	13	geometry	geometry	NOUN
fumecheng-4792	143	14	and	and	CCONJ
fumecheng-4792	143	15	the	the	DET
fumecheng-4792	143	16	friction	friction	NOUN
fumecheng-4792	143	17	coefficient	coefficient	NOUN
fumecheng-4792	143	18	.	.	PUNCT
fumecheng-4792	144	1	in	in	ADP
fumecheng-4792	144	2	the	the	DET
fumecheng-4792	144	3	left	left	ADJ
fumecheng-4792	144	4	graph	graph	NOUN
fumecheng-4792	144	5	in	in	ADP
fumecheng-4792	144	6	fig	fig	NOUN
fumecheng-4792	144	7	.	.	PUNCT
fumecheng-4792	145	1	9	9	NUM
fumecheng-4792	145	2	the	the	DET
fumecheng-4792	145	3	condition	condition	NOUN
fumecheng-4792	145	4	is	be	AUX
fumecheng-4792	145	5	not	not	PART
fumecheng-4792	145	6	fulfilled	fulfil	VERB
fumecheng-4792	145	7	.	.	PUNCT
fumecheng-4792	146	1	thus	thus	ADV
fumecheng-4792	146	2	,	,	PUNCT
fumecheng-4792	146	3	the	the	DET
fumecheng-4792	146	4	grid	grid	NOUN
fumecheng-4792	146	5	point	point	NOUN
fumecheng-4792	146	6	of	of	ADP
fumecheng-4792	146	7	the	the	DET
fumecheng-4792	146	8	disk	disk	NOUN
fumecheng-4792	146	9	profile	profile	NOUN
fumecheng-4792	146	10	slides	slide	NOUN
fumecheng-4792	146	11	until	until	SCONJ
fumecheng-4792	146	12	the	the	DET
fumecheng-4792	146	13	relation	relation	NOUN
fumecheng-4792	146	14	(	(	PUNCT
fumecheng-4792	146	15	3	3	X
fumecheng-4792	146	16	)	)	PUNCT
fumecheng-4792	146	17	is	be	AUX
fumecheng-4792	146	18	fulfilled	fulfil	VERB
fumecheng-4792	146	19	again	again	ADV
fumecheng-4792	146	20	(	(	PUNCT
fumecheng-4792	146	21	right	right	ADJ
fumecheng-4792	146	22	graph	graph	NOUN
fumecheng-4792	146	23	in	in	ADP
fumecheng-4792	146	24	fig	fig	NOUN
fumecheng-4792	146	25	.	.	PUNCT
fumecheng-4792	147	1	9	9	NUM
fumecheng-4792	147	2	)	)	PUNCT
fumecheng-4792	147	3	.	.	PUNCT
fumecheng-4792	148	1	the	the	DET
fumecheng-4792	148	2	corresponding	corresponding	ADJ
fumecheng-4792	148	3	new	new	ADJ
fumecheng-4792	148	4	values	value	NOUN
fumecheng-4792	148	5	for	for	ADP
fumecheng-4792	148	6	τ	τ	PROPN
fumecheng-4792	148	7	*	*	PUNCT
fumecheng-4792	148	8	and	and	CCONJ
fumecheng-4792	148	9	p	p	NOUN
fumecheng-4792	148	10	*	*	PUNCT
fumecheng-4792	148	11	cause	cause	VERB
fumecheng-4792	148	12	a	a	DET
fumecheng-4792	148	13	change	change	NOUN
fumecheng-4792	148	14	of	of	ADP
fumecheng-4792	148	15	the	the	DET
fumecheng-4792	148	16	stresses	stress	NOUN
fumecheng-4792	148	17	in	in	ADP
fumecheng-4792	148	18	the	the	DET
fumecheng-4792	148	19	reference	reference	NOUN
fumecheng-4792	148	20	system	system	NOUN
fumecheng-4792	148	21	of	of	ADP
fumecheng-4792	148	22	the	the	DET
fumecheng-4792	148	23	even	even	ADJ
fumecheng-4792	148	24	half	half	ADJ
fumecheng-4792	148	25	-	-	PUNCT
fumecheng-4792	148	26	space	space	NOUN
fumecheng-4792	148	27	which	which	PRON
fumecheng-4792	148	28	can	can	AUX
fumecheng-4792	148	29	be	be	AUX
fumecheng-4792	148	30	determined	determine	VERB
fumecheng-4792	148	31	with	with	ADP
fumecheng-4792	148	32	the	the	DET
fumecheng-4792	148	33	reverse	reverse	ADJ
fumecheng-4792	148	34	transformation	transformation	NOUN
fumecheng-4792	148	35	*	*	PUNCT
fumecheng-4792	149	1	*	*	PUNCT
fumecheng-4792	149	2	*	*	PUNCT
fumecheng-4792	149	3	*	*	PUNCT
fumecheng-4792	149	4	sin	sin	PROPN
fumecheng-4792	149	5	cos	cos	PROPN
fumecheng-4792	149	6	,	,	PUNCT
fumecheng-4792	149	7	cos	cos	PROPN
fumecheng-4792	149	8	sin	sin	NOUN
fumecheng-4792	149	9	.	.	PUNCT
fumecheng-4792	150	1	zx	zx	NOUN
fumecheng-4792	151	1	p	p	NOUN
fumecheng-4792	151	2	p	p	X
fumecheng-4792	151	3	p	p	NOUN
fumecheng-4792	151	4			NOUN
fumecheng-4792	151	5			NOUN
fumecheng-4792	151	6			NOUN
fumecheng-4792	151	7			X
fumecheng-4792	151	8			X
fumecheng-4792	151	9			PROPN
fumecheng-4792	151	10			X
fumecheng-4792	151	11			PROPN
fumecheng-4792	151	12			VERB
fumecheng-4792	151	13			NUM
fumecheng-4792	151	14			NOUN
fumecheng-4792	151	15	(	(	PUNCT
fumecheng-4792	151	16	4	4	NUM
fumecheng-4792	151	17	)	)	PUNCT
fumecheng-4792	151	18	fig	fig	NOUN
fumecheng-4792	151	19	.	.	PUNCT
fumecheng-4792	152	1	8b	8b	NUM
fumecheng-4792	152	2	displays	display	NOUN
fumecheng-4792	152	3	results	result	NOUN
fumecheng-4792	152	4	which	which	PRON
fumecheng-4792	152	5	are	be	AUX
fumecheng-4792	152	6	obtained	obtain	VERB
fumecheng-4792	152	7	in	in	ADP
fumecheng-4792	152	8	such	such	DET
fumecheng-4792	152	9	a	a	DET
fumecheng-4792	152	10	fashion	fashion	NOUN
fumecheng-4792	152	11	.	.	PUNCT
fumecheng-4792	153	1	the	the	DET
fumecheng-4792	153	2	contact	contact	NOUN
fumecheng-4792	153	3	area	area	NOUN
fumecheng-4792	153	4	(	(	PUNCT
fumecheng-4792	153	5	green	green	ADJ
fumecheng-4792	153	6	dots	dot	NOUN
fumecheng-4792	153	7	)	)	PUNCT
fumecheng-4792	153	8	is	be	AUX
fumecheng-4792	153	9	shown	show	VERB
fumecheng-4792	153	10	for	for	ADP
fumecheng-4792	153	11	an	an	DET
fumecheng-4792	153	12	exemplary	exemplary	ADJ
fumecheng-4792	153	13	indentation	indentation	NOUN
fumecheng-4792	153	14	.	.	PUNCT
fumecheng-4792	154	1	the	the	DET
fumecheng-4792	154	2	inner	inner	ADJ
fumecheng-4792	154	3	values	value	NOUN
fumecheng-4792	154	4	for	for	ADP
fumecheng-4792	154	5	the	the	DET
fumecheng-4792	154	6	displacements	displacement	NOUN
fumecheng-4792	154	7	and	and	CCONJ
fumecheng-4792	154	8	stresses	stress	NOUN
fumecheng-4792	154	9	can	can	AUX
fumecheng-4792	154	10	be	be	AUX
fumecheng-4792	154	11	obtained	obtain	VERB
fumecheng-4792	154	12	from	from	ADP
fumecheng-4792	154	13	the	the	DET
fumecheng-4792	154	14	conditions	condition	NOUN
fumecheng-4792	154	15	at	at	ADP
fumecheng-4792	154	16	the	the	DET
fumecheng-4792	154	17	surface	surface	NOUN
fumecheng-4792	154	18	with	with	ADP
fumecheng-4792	154	19	the	the	DET
fumecheng-4792	154	20	fundamental	fundamental	ADJ
fumecheng-4792	154	21	solutions	solution	NOUN
fumecheng-4792	154	22	of	of	ADP
fumecheng-4792	154	23	boussinesq	boussinesq	NOUN
fumecheng-4792	154	24	and	and	CCONJ
fumecheng-4792	154	25	cerruti	cerruti	NOUN
fumecheng-4792	154	26	(	(	PUNCT
fumecheng-4792	154	27	see	see	VERB
fumecheng-4792	154	28	[	[	X
fumecheng-4792	154	29	20	20	NUM
fumecheng-4792	154	30	]	]	SYM
fumecheng-4792	154	31	)	)	PUNCT
fumecheng-4792	154	32	as	as	ADP
fumecheng-4792	154	33	in	in	ADP
fumecheng-4792	154	34	section	section	NOUN
fumecheng-4792	154	35	2	2	NUM
fumecheng-4792	154	36	.	.	PUNCT
fumecheng-4792	154	37	fig	fig	NOUN
fumecheng-4792	154	38	.	.	PUNCT
fumecheng-4792	155	1	10	10	NUM
fumecheng-4792	155	2	displays	display	VERB
fumecheng-4792	155	3	a	a	DET
fumecheng-4792	155	4	qualitative	qualitative	ADJ
fumecheng-4792	155	5	view	view	NOUN
fumecheng-4792	155	6	of	of	ADP
fumecheng-4792	155	7	the	the	DET
fumecheng-4792	155	8	worst	bad	ADJ
fumecheng-4792	155	9	principal	principal	ADJ
fumecheng-4792	155	10	stress	stress	NOUN
fumecheng-4792	155	11	in	in	ADP
fumecheng-4792	155	12	the	the	DET
fumecheng-4792	155	13	disk	disk	NOUN
fumecheng-4792	155	14	(	(	PUNCT
fumecheng-4792	155	15	upper	upper	ADJ
fumecheng-4792	155	16	image	image	NOUN
fumecheng-4792	155	17	)	)	PUNCT
fumecheng-4792	155	18	.	.	PUNCT
fumecheng-4792	156	1	for	for	ADP
fumecheng-4792	156	2	comparison	comparison	NOUN
fumecheng-4792	156	3	,	,	PUNCT
fumecheng-4792	156	4	the	the	DET
fumecheng-4792	156	5	finite	finite	ADJ
fumecheng-4792	156	6	element	element	NOUN
fumecheng-4792	156	7	results	result	NOUN
fumecheng-4792	156	8	are	be	AUX
fumecheng-4792	156	9	displayed	display	VERB
fumecheng-4792	156	10	below	below	ADV
fumecheng-4792	156	11	.	.	PUNCT
fumecheng-4792	157	1	as	as	ADP
fumecheng-4792	157	2	in	in	ADP
fumecheng-4792	157	3	the	the	DET
fumecheng-4792	157	4	previous	previous	ADJ
fumecheng-4792	157	5	section	section	NOUN
fumecheng-4792	157	6	,	,	PUNCT
fumecheng-4792	157	7	it	it	PRON
fumecheng-4792	157	8	transpires	transpire	VERB
fumecheng-4792	157	9	that	that	SCONJ
fumecheng-4792	157	10	although	although	SCONJ
fumecheng-4792	157	11	there	there	PRON
fumecheng-4792	157	12	is	be	VERB
fumecheng-4792	157	13	some	some	DET
fumecheng-4792	157	14	rough	rough	ADJ
fumecheng-4792	157	15	agreement	agreement	NOUN
fumecheng-4792	157	16	of	of	ADP
fumecheng-4792	157	17	the	the	DET
fumecheng-4792	157	18	results	result	NOUN
fumecheng-4792	157	19	,	,	PUNCT
fumecheng-4792	157	20	there	there	PRON
fumecheng-4792	157	21	are	be	VERB
fumecheng-4792	157	22	also	also	ADV
fumecheng-4792	157	23	quite	quite	ADV
fumecheng-4792	157	24	substantial	substantial	ADJ
fumecheng-4792	157	25	differences	difference	NOUN
fumecheng-4792	157	26	,	,	PUNCT
fumecheng-4792	157	27	even	even	ADV
fumecheng-4792	157	28	on	on	ADP
fumecheng-4792	157	29	the	the	DET
fumecheng-4792	157	30	qualitative	qualitative	ADJ
fumecheng-4792	157	31	level	level	NOUN
fumecheng-4792	157	32	.	.	PUNCT
fumecheng-4792	158	1	the	the	DET
fumecheng-4792	158	2	most	most	ADV
fumecheng-4792	158	3	striking	striking	ADJ
fumecheng-4792	158	4	difference	difference	NOUN
fumecheng-4792	158	5	is	be	AUX
fumecheng-4792	158	6	once	once	ADV
fumecheng-4792	158	7	more	more	ADV
fumecheng-4792	158	8	the	the	DET
fumecheng-4792	158	9	notch	notch	ADJ
fumecheng-4792	158	10	stress	stress	NOUN
fumecheng-4792	158	11	in	in	ADP
fumecheng-4792	158	12	the	the	DET
fumecheng-4792	158	13	lower	low	ADJ
fumecheng-4792	158	14	regions	region	NOUN
fumecheng-4792	158	15	of	of	ADP
fumecheng-4792	158	16	the	the	DET
fumecheng-4792	158	17	lobes	lobe	NOUN
fumecheng-4792	158	18	.	.	PUNCT
fumecheng-4792	159	1	the	the	DET
fumecheng-4792	159	2	maximum	maximum	NOUN
fumecheng-4792	159	3	is	be	AUX
fumecheng-4792	159	4	clearly	clearly	ADV
fumecheng-4792	159	5	shifted	shift	VERB
fumecheng-4792	159	6	towards	towards	ADP
fumecheng-4792	159	7	the	the	DET
fumecheng-4792	159	8	contact	contact	NOUN
fumecheng-4792	159	9	area	area	NOUN
fumecheng-4792	159	10	for	for	ADP
fumecheng-4792	159	11	the	the	DET
fumecheng-4792	159	12	half	half	ADJ
fumecheng-4792	159	13	-	-	PUNCT
fumecheng-4792	159	14	space	space	NOUN
fumecheng-4792	159	15	approach	approach	NOUN
fumecheng-4792	159	16	,	,	PUNCT
fumecheng-4792	159	17	while	while	SCONJ
fumecheng-4792	159	18	it	it	PRON
fumecheng-4792	159	19	is	be	AUX
fumecheng-4792	159	20	at	at	ADP
fumecheng-4792	159	21	a	a	DET
fumecheng-4792	159	22	much	much	ADV
fumecheng-4792	159	23	lower	low	ADJ
fumecheng-4792	159	24	position	position	NOUN
fumecheng-4792	159	25	of	of	ADP
fumecheng-4792	159	26	the	the	DET
fumecheng-4792	159	27	lobes	lobe	NOUN
fumecheng-4792	159	28	for	for	ADP
fumecheng-4792	159	29	the	the	DET
fumecheng-4792	159	30	finite	finite	PROPN
fumecheng-4792	159	31	element	element	NOUN
fumecheng-4792	159	32	results	result	NOUN
fumecheng-4792	159	33	which	which	PRON
fumecheng-4792	159	34	consider	consider	VERB
fumecheng-4792	159	35	the	the	DET
fumecheng-4792	159	36	actual	actual	ADJ
fumecheng-4792	159	37	shape	shape	NOUN
fumecheng-4792	159	38	more	more	ADV
fumecheng-4792	159	39	appropriately	appropriately	ADV
fumecheng-4792	159	40	.	.	PUNCT
fumecheng-4792	160	1	while	while	SCONJ
fumecheng-4792	160	2	the	the	DET
fumecheng-4792	160	3	half	half	ADJ
fumecheng-4792	160	4	-	-	PUNCT
fumecheng-4792	160	5	space	space	NOUN
fumecheng-4792	160	6	approach	approach	NOUN
fumecheng-4792	160	7	may	may	AUX
fumecheng-4792	160	8	deliver	deliver	VERB
fumecheng-4792	160	9	sufficient	sufficient	ADJ
fumecheng-4792	160	10	results	result	NOUN
fumecheng-4792	160	11	in	in	ADP
fumecheng-4792	160	12	the	the	DET
fumecheng-4792	160	13	contact	contact	NOUN
fumecheng-4792	160	14	regions	region	NOUN
fumecheng-4792	160	15	for	for	ADP
fumecheng-4792	160	16	the	the	DET
fumecheng-4792	160	17	analysis	analysis	NOUN
fumecheng-4792	160	18	of	of	ADP
fumecheng-4792	160	19	particular	particular	ADJ
fumecheng-4792	160	20	problems	problem	NOUN
fumecheng-4792	160	21	,	,	PUNCT
fumecheng-4792	160	22	the	the	DET
fumecheng-4792	160	23	overall	overall	ADJ
fumecheng-4792	160	24	results	result	NOUN
fumecheng-4792	160	25	still	still	ADV
fumecheng-4792	160	26	remain	remain	VERB
fumecheng-4792	160	27	unsatisfactory	unsatisfactory	ADJ
fumecheng-4792	160	28	.	.	PUNCT
fumecheng-4792	161	1	therefore	therefore	ADV
fumecheng-4792	161	2	,	,	PUNCT
fumecheng-4792	161	3	other	other	ADJ
fumecheng-4792	161	4	methods	method	NOUN
fumecheng-4792	161	5	to	to	PART
fumecheng-4792	161	6	utilize	utilize	VERB
fumecheng-4792	161	7	the	the	DET
fumecheng-4792	161	8	efficiency	efficiency	NOUN
fumecheng-4792	161	9	of	of	ADP
fumecheng-4792	161	10	the	the	DET
fumecheng-4792	161	11	convolution	convolution	NOUN
fumecheng-4792	161	12	for	for	ADP
fumecheng-4792	161	13	the	the	DET
fumecheng-4792	161	14	calculation	calculation	NOUN
fumecheng-4792	161	15	of	of	ADP
fumecheng-4792	161	16	deformations	deformation	NOUN
fumecheng-4792	161	17	and	and	CCONJ
fumecheng-4792	161	18	stresses	stress	NOUN
fumecheng-4792	161	19	in	in	ADP
fumecheng-4792	161	20	complex	complex	ADJ
fumecheng-4792	161	21	shapes	shape	NOUN
fumecheng-4792	161	22	such	such	ADJ
fumecheng-4792	161	23	as	as	ADP
fumecheng-4792	161	24	the	the	DET
fumecheng-4792	161	25	fir	fir	NOUN
fumecheng-4792	161	26	-	-	PUNCT
fumecheng-4792	161	27	tree	tree	NOUN
fumecheng-4792	161	28	must	must	AUX
fumecheng-4792	161	29	be	be	AUX
fumecheng-4792	161	30	found	find	VERB
fumecheng-4792	161	31	.	.	PUNCT
fumecheng-4792	162	1	one	one	NUM
fumecheng-4792	162	2	such	such	ADJ
fumecheng-4792	162	3	approach	approach	NOUN
fumecheng-4792	162	4	is	be	AUX
fumecheng-4792	162	5	described	describe	VERB
fumecheng-4792	162	6	in	in	ADP
fumecheng-4792	162	7	detail	detail	NOUN
fumecheng-4792	162	8	in	in	ADP
fumecheng-4792	162	9	the	the	DET
fumecheng-4792	162	10	next	next	ADJ
fumecheng-4792	162	11	section	section	NOUN
fumecheng-4792	162	12	.	.	PUNCT
fumecheng-4792	163	1	numerical	numerical	ADJ
fumecheng-4792	163	2	methods	method	NOUN
fumecheng-4792	163	3	for	for	ADP
fumecheng-4792	163	4	simulation	simulation	NOUN
fumecheng-4792	163	5	of	of	ADP
fumecheng-4792	163	6	deformations	deformation	NOUN
fumecheng-4792	163	7	and	and	CCONJ
fumecheng-4792	163	8	stresses	stress	NOUN
fumecheng-4792	163	9	in	in	ADP
fumecheng-4792	163	10	turbine	turbine	NOUN
fumecheng-4792	163	11	blade	blade	NOUN
fumecheng-4792	163	12	fir	fir	NOUN
fumecheng-4792	163	13	-	-	PUNCT
fumecheng-4792	163	14	tree	tree	NOUN
fumecheng-4792	163	15	connections	connection	NOUN
fumecheng-4792	163	16	9	9	NUM
fumecheng-4792	163	17	fig	fig	NOUN
fumecheng-4792	163	18	.	.	PUNCT
fumecheng-4792	164	1	10	10	NUM
fumecheng-4792	164	2	a	a	DET
fumecheng-4792	164	3	rough	rough	ADJ
fumecheng-4792	164	4	qualitative	qualitative	ADJ
fumecheng-4792	164	5	comparison	comparison	NOUN
fumecheng-4792	164	6	of	of	ADP
fumecheng-4792	164	7	the	the	DET
fumecheng-4792	164	8	results	result	NOUN
fumecheng-4792	164	9	for	for	ADP
fumecheng-4792	164	10	the	the	DET
fumecheng-4792	164	11	worst	bad	ADJ
fumecheng-4792	164	12	principal	principal	ADJ
fumecheng-4792	164	13	stress	stress	NOUN
fumecheng-4792	164	14	as	as	SCONJ
fumecheng-4792	164	15	obtained	obtain	VERB
fumecheng-4792	164	16	with	with	ADP
fumecheng-4792	164	17	the	the	DET
fumecheng-4792	164	18	fft	fft	PROPN
fumecheng-4792	164	19	-	-	PUNCT
fumecheng-4792	164	20	based	base	VERB
fumecheng-4792	164	21	bem	bem	NOUN
fumecheng-4792	164	22	for	for	ADP
fumecheng-4792	164	23	the	the	DET
fumecheng-4792	164	24	half	half	ADJ
fumecheng-4792	164	25	-	-	PUNCT
fumecheng-4792	164	26	space	space	NOUN
fumecheng-4792	164	27	(	(	PUNCT
fumecheng-4792	164	28	upper	upper	ADJ
fumecheng-4792	164	29	image	image	NOUN
fumecheng-4792	164	30	)	)	PUNCT
fumecheng-4792	164	31	and	and	CCONJ
fumecheng-4792	164	32	a	a	DET
fumecheng-4792	164	33	finite	finite	ADJ
fumecheng-4792	164	34	element	element	NOUN
fumecheng-4792	164	35	simulation	simulation	NOUN
fumecheng-4792	164	36	(	(	PUNCT
fumecheng-4792	164	37	lower	low	ADJ
fumecheng-4792	164	38	image	image	NOUN
fumecheng-4792	164	39	)	)	PUNCT
fumecheng-4792	164	40	.	.	PUNCT
fumecheng-4792	165	1	the	the	DET
fumecheng-4792	165	2	maximum	maximum	NOUN
fumecheng-4792	165	3	of	of	ADP
fumecheng-4792	165	4	the	the	DET
fumecheng-4792	165	5	worst	bad	ADJ
fumecheng-4792	165	6	principle	principle	ADJ
fumecheng-4792	165	7	stress	stress	NOUN
fumecheng-4792	165	8	is	be	AUX
fumecheng-4792	165	9	attained	attain	VERB
fumecheng-4792	165	10	in	in	ADP
fumecheng-4792	165	11	the	the	DET
fumecheng-4792	165	12	lower	low	ADJ
fumecheng-4792	165	13	notch	notch	ADJ
fumecheng-4792	165	14	regions	region	NOUN
fumecheng-4792	165	15	in	in	ADP
fumecheng-4792	165	16	the	the	DET
fumecheng-4792	165	17	fe	fe	PROPN
fumecheng-4792	165	18	approach	approach	NOUN
fumecheng-4792	165	19	,	,	PUNCT
fumecheng-4792	165	20	while	while	SCONJ
fumecheng-4792	165	21	for	for	ADP
fumecheng-4792	165	22	the	the	DET
fumecheng-4792	165	23	half	half	ADJ
fumecheng-4792	165	24	-	-	PUNCT
fumecheng-4792	165	25	space	space	NOUN
fumecheng-4792	165	26	approach	approach	NOUN
fumecheng-4792	165	27	it	it	PRON
fumecheng-4792	165	28	is	be	AUX
fumecheng-4792	165	29	shifted	shift	VERB
fumecheng-4792	165	30	upwards	upwards	ADV
fumecheng-4792	165	31	to	to	ADP
fumecheng-4792	165	32	the	the	DET
fumecheng-4792	165	33	lower	low	ADJ
fumecheng-4792	165	34	ends	end	NOUN
fumecheng-4792	165	35	of	of	ADP
fumecheng-4792	165	36	the	the	DET
fumecheng-4792	165	37	contact	contact	NOUN
fumecheng-4792	165	38	regions	region	NOUN
fumecheng-4792	165	39	.	.	PUNCT
fumecheng-4792	166	1	image	image	NOUN
fumecheng-4792	166	2	used	use	VERB
fumecheng-4792	166	3	with	with	ADP
fumecheng-4792	166	4	the	the	DET
fumecheng-4792	166	5	kind	kind	ADJ
fumecheng-4792	166	6	permission	permission	NOUN
fumecheng-4792	166	7	of	of	ADP
fumecheng-4792	166	8	rolls	roll	NOUN
fumecheng-4792	166	9	-	-	PUNCT
fumecheng-4792	166	10	royce	royce	PROPN
fumecheng-4792	166	11	4	4	NUM
fumecheng-4792	166	12	.	.	PUNCT
fumecheng-4792	167	1	fft	fft	NOUN
fumecheng-4792	167	2	-	-	PUNCT
fumecheng-4792	167	3	based	base	VERB
fumecheng-4792	167	4	bem	bem	NOUN
fumecheng-4792	167	5	beyond	beyond	ADP
fumecheng-4792	167	6	the	the	DET
fumecheng-4792	167	7	half	half	ADJ
fumecheng-4792	167	8	-	-	PUNCT
fumecheng-4792	167	9	space	space	NOUN
fumecheng-4792	167	10	approximation	approximation	NOUN
fumecheng-4792	167	11	it	it	PRON
fumecheng-4792	167	12	is	be	AUX
fumecheng-4792	167	13	shown	show	VERB
fumecheng-4792	167	14	in	in	ADP
fumecheng-4792	167	15	the	the	DET
fumecheng-4792	167	16	last	last	ADJ
fumecheng-4792	167	17	two	two	NUM
fumecheng-4792	167	18	sections	section	NOUN
fumecheng-4792	167	19	that	that	PRON
fumecheng-4792	167	20	the	the	DET
fumecheng-4792	167	21	rapid	rapid	ADJ
fumecheng-4792	167	22	half	half	ADJ
fumecheng-4792	167	23	-	-	PUNCT
fumecheng-4792	167	24	space	space	NOUN
fumecheng-4792	167	25	approach	approach	NOUN
fumecheng-4792	167	26	may	may	AUX
fumecheng-4792	167	27	provide	provide	VERB
fumecheng-4792	167	28	a	a	DET
fumecheng-4792	167	29	rough	rough	ADJ
fumecheng-4792	167	30	approximation	approximation	NOUN
fumecheng-4792	167	31	of	of	ADP
fumecheng-4792	167	32	the	the	DET
fumecheng-4792	167	33	results	result	NOUN
fumecheng-4792	167	34	in	in	ADP
fumecheng-4792	167	35	the	the	DET
fumecheng-4792	167	36	contact	contact	NOUN
fumecheng-4792	167	37	regions	region	NOUN
fumecheng-4792	167	38	of	of	ADP
fumecheng-4792	167	39	a	a	DET
fumecheng-4792	167	40	fir	fir	NOUN
fumecheng-4792	167	41	-	-	PUNCT
fumecheng-4792	167	42	tree	tree	NOUN
fumecheng-4792	167	43	;	;	PUNCT
fumecheng-4792	167	44	yet	yet	CCONJ
fumecheng-4792	167	45	,	,	PUNCT
fumecheng-4792	167	46	the	the	DET
fumecheng-4792	167	47	overall	overall	ADJ
fumecheng-4792	167	48	results	result	NOUN
fumecheng-4792	167	49	were	be	AUX
fumecheng-4792	167	50	unsatisfactory	unsatisfactory	ADJ
fumecheng-4792	167	51	.	.	PUNCT
fumecheng-4792	168	1	therefore	therefore	ADV
fumecheng-4792	168	2	,	,	PUNCT
fumecheng-4792	168	3	other	other	ADJ
fumecheng-4792	168	4	methods	method	NOUN
fumecheng-4792	168	5	must	must	AUX
fumecheng-4792	168	6	be	be	AUX
fumecheng-4792	168	7	found	find	VERB
fumecheng-4792	168	8	in	in	ADP
fumecheng-4792	168	9	order	order	NOUN
fumecheng-4792	168	10	to	to	PART
fumecheng-4792	168	11	utilize	utilize	VERB
fumecheng-4792	168	12	the	the	DET
fumecheng-4792	168	13	efficiency	efficiency	NOUN
fumecheng-4792	168	14	of	of	ADP
fumecheng-4792	168	15	the	the	DET
fumecheng-4792	168	16	convolution	convolution	NOUN
fumecheng-4792	168	17	for	for	ADP
fumecheng-4792	168	18	calculating	calculate	VERB
fumecheng-4792	168	19	deformations	deformation	NOUN
fumecheng-4792	168	20	and	and	CCONJ
fumecheng-4792	168	21	stresses	stress	NOUN
fumecheng-4792	168	22	in	in	ADP
fumecheng-4792	168	23	complex	complex	ADJ
fumecheng-4792	168	24	shapes	shape	NOUN
fumecheng-4792	168	25	.	.	PUNCT
fumecheng-4792	169	1	various	various	ADJ
fumecheng-4792	169	2	techniques	technique	NOUN
fumecheng-4792	169	3	which	which	PRON
fumecheng-4792	169	4	have	have	AUX
fumecheng-4792	169	5	been	be	AUX
fumecheng-4792	169	6	developed	develop	VERB
fumecheng-4792	169	7	in	in	ADP
fumecheng-4792	169	8	the	the	DET
fumecheng-4792	169	9	past	past	NOUN
fumecheng-4792	169	10	may	may	AUX
fumecheng-4792	169	11	be	be	AUX
fumecheng-4792	169	12	applied	apply	VERB
fumecheng-4792	169	13	to	to	PART
fumecheng-4792	169	14	accomplish	accomplish	VERB
fumecheng-4792	169	15	this	this	DET
fumecheng-4792	169	16	task	task	NOUN
fumecheng-4792	169	17	.	.	PUNCT
fumecheng-4792	170	1	in	in	ADP
fumecheng-4792	170	2	1991	1991	NUM
fumecheng-4792	170	3	,	,	PUNCT
fumecheng-4792	170	4	gao	gao	PROPN
fumecheng-4792	170	5	introduced	introduce	VERB
fumecheng-4792	170	6	a	a	DET
fumecheng-4792	170	7	first	first	ADJ
fumecheng-4792	170	8	-	-	PUNCT
fumecheng-4792	170	9	order	order	NOUN
fumecheng-4792	170	10	perturbation	perturbation	NOUN
fumecheng-4792	170	11	method	method	NOUN
fumecheng-4792	170	12	for	for	ADP
fumecheng-4792	170	13	the	the	DET
fumecheng-4792	170	14	half	half	ADJ
fumecheng-4792	170	15	-	-	PUNCT
fumecheng-4792	170	16	space	space	NOUN
fumecheng-4792	170	17	approximation	approximation	NOUN
fumecheng-4792	170	18	to	to	PART
fumecheng-4792	170	19	take	take	VERB
fumecheng-4792	170	20	into	into	ADP
fumecheng-4792	170	21	account	account	NOUN
fumecheng-4792	170	22	stress	stress	NOUN
fumecheng-4792	170	23	concentration	concentration	NOUN
fumecheng-4792	170	24	effects	effect	NOUN
fumecheng-4792	170	25	of	of	ADP
fumecheng-4792	170	26	slightly	slightly	ADV
fumecheng-4792	170	27	undulating	undulate	VERB
fumecheng-4792	170	28	surfaces	surface	NOUN
fumecheng-4792	170	29	[	[	X
fumecheng-4792	170	30	24	24	NUM
fumecheng-4792	170	31	]	]	PUNCT
fumecheng-4792	170	32	.	.	PUNCT
fumecheng-4792	171	1	in	in	ADP
fumecheng-4792	171	2	later	later	ADJ
fumecheng-4792	171	3	years	year	NOUN
fumecheng-4792	171	4	,	,	PUNCT
fumecheng-4792	171	5	various	various	ADJ
fumecheng-4792	171	6	methods	method	NOUN
fumecheng-4792	171	7	were	be	AUX
fumecheng-4792	171	8	developed	develop	VERB
fumecheng-4792	171	9	to	to	PART
fumecheng-4792	171	10	accelerate	accelerate	VERB
fumecheng-4792	171	11	the	the	DET
fumecheng-4792	171	12	classical	classical	ADJ
fumecheng-4792	171	13	bem	bem	NOUN
fumecheng-4792	171	14	for	for	ADP
fumecheng-4792	171	15	completely	completely	ADV
fumecheng-4792	171	16	arbitrary	arbitrary	ADJ
fumecheng-4792	171	17	shapes	shape	NOUN
fumecheng-4792	171	18	which	which	PRON
fumecheng-4792	171	19	,	,	PUNCT
fumecheng-4792	171	20	in	in	ADP
fumecheng-4792	171	21	part	part	NOUN
fumecheng-4792	171	22	,	,	PUNCT
fumecheng-4792	171	23	make	make	VERB
fumecheng-4792	171	24	use	use	NOUN
fumecheng-4792	171	25	of	of	ADP
fumecheng-4792	171	26	the	the	DET
fumecheng-4792	171	27	low	low	ADJ
fumecheng-4792	171	28	computational	computational	ADJ
fumecheng-4792	171	29	complexity	complexity	NOUN
fumecheng-4792	171	30	of	of	ADP
fumecheng-4792	171	31	the	the	DET
fumecheng-4792	171	32	fft	fft	PROPN
fumecheng-4792	171	33	(	(	PUNCT
fumecheng-4792	171	34	see	see	VERB
fumecheng-4792	171	35	for	for	ADP
fumecheng-4792	171	36	example	example	NOUN
fumecheng-4792	172	1	[	[	X
fumecheng-4792	172	2	25	25	NUM
fumecheng-4792	172	3	]	]	PUNCT
fumecheng-4792	172	4	,	,	PUNCT
fumecheng-4792	173	1	[	[	X
fumecheng-4792	173	2	26	26	NUM
fumecheng-4792	173	3	]	]	PUNCT
fumecheng-4792	173	4	and	and	CCONJ
fumecheng-4792	173	5	[	[	X
fumecheng-4792	173	6	27	27	NUM
fumecheng-4792	173	7	]	]	NUM
fumecheng-4792	173	8	)	)	PUNCT
fumecheng-4792	173	9	,	,	PUNCT
fumecheng-4792	173	10	or	or	CCONJ
fumecheng-4792	173	11	utilize	utilize	VERB
fumecheng-4792	173	12	other	other	ADJ
fumecheng-4792	173	13	techniques	technique	NOUN
fumecheng-4792	173	14	such	such	ADJ
fumecheng-4792	173	15	as	as	ADP
fumecheng-4792	173	16	hierarchical	hierarchical	ADJ
fumecheng-4792	173	17	matrices	matrix	NOUN
fumecheng-4792	173	18	(	(	PUNCT
fumecheng-4792	173	19	see	see	VERB
fumecheng-4792	173	20	for	for	ADP
fumecheng-4792	173	21	example	example	NOUN
fumecheng-4792	173	22	[	[	X
fumecheng-4792	173	23	28	28	NUM
fumecheng-4792	173	24	]	]	PUNCT
fumecheng-4792	173	25	)	)	PUNCT
fumecheng-4792	173	26	to	to	PART
fumecheng-4792	173	27	accelerate	accelerate	VERB
fumecheng-4792	173	28	the	the	DET
fumecheng-4792	173	29	calculation	calculation	NOUN
fumecheng-4792	173	30	.	.	PUNCT
fumecheng-4792	174	1	recently	recently	ADV
fumecheng-4792	174	2	,	,	PUNCT
fumecheng-4792	174	3	it	it	PRON
fumecheng-4792	174	4	was	be	AUX
fumecheng-4792	174	5	illustrated	illustrate	VERB
fumecheng-4792	174	6	in	in	ADP
fumecheng-4792	174	7	[	[	X
fumecheng-4792	174	8	11	11	NUM
fumecheng-4792	174	9	]	]	PUNCT
fumecheng-4792	174	10	and	and	CCONJ
fumecheng-4792	174	11	[	[	X
fumecheng-4792	174	12	12	12	NUM
fumecheng-4792	174	13	]	]	PUNCT
fumecheng-4792	174	14	that	that	SCONJ
fumecheng-4792	174	15	the	the	DET
fumecheng-4792	174	16	integral	integral	ADJ
fumecheng-4792	174	17	equations	equation	NOUN
fumecheng-4792	174	18	of	of	ADP
fumecheng-4792	174	19	the	the	DET
fumecheng-4792	174	20	bem	bem	NOUN
fumecheng-4792	174	21	for	for	ADP
fumecheng-4792	174	22	completely	completely	ADV
fumecheng-4792	174	23	arbitrary	arbitrary	ADJ
fumecheng-4792	174	24	shapes	shape	NOUN
fumecheng-4792	174	25	(	(	PUNCT
fumecheng-4792	174	26	no	no	DET
fumecheng-4792	174	27	half	half	ADJ
fumecheng-4792	174	28	-	-	PUNCT
fumecheng-4792	174	29	space	space	NOUN
fumecheng-4792	174	30	)	)	PUNCT
fumecheng-4792	174	31	can	can	AUX
fumecheng-4792	174	32	be	be	AUX
fumecheng-4792	174	33	obtained	obtain	VERB
fumecheng-4792	174	34	in	in	ADP
fumecheng-4792	174	35	a	a	DET
fumecheng-4792	174	36	manner	manner	NOUN
fumecheng-4792	174	37	very	very	ADV
fumecheng-4792	174	38	similar	similar	ADJ
fumecheng-4792	174	39	to	to	ADP
fumecheng-4792	174	40	the	the	DET
fumecheng-4792	174	41	fft	fft	NOUN
fumecheng-4792	174	42	-	-	PUNCT
fumecheng-4792	174	43	based	base	VERB
fumecheng-4792	174	44	half	half	ADJ
fumecheng-4792	174	45	-	-	PUNCT
fumecheng-4792	174	46	space	space	NOUN
fumecheng-4792	174	47	approach	approach	NOUN
fumecheng-4792	174	48	:	:	PUNCT
fumecheng-4792	174	49	for	for	ADP
fumecheng-4792	174	50	the	the	DET
fumecheng-4792	174	51	case	case	NOUN
fumecheng-4792	174	52	of	of	ADP
fumecheng-4792	174	53	the	the	DET
fumecheng-4792	174	54	half	half	ADJ
fumecheng-4792	174	55	-	-	PUNCT
fumecheng-4792	174	56	space	space	NOUN
fumecheng-4792	174	57	,	,	PUNCT
fumecheng-4792	174	58	the	the	DET
fumecheng-4792	174	59	boundary	boundary	ADJ
fumecheng-4792	174	60	integral	integral	ADJ
fumecheng-4792	174	61	(	(	PUNCT
fumecheng-4792	174	62	1	1	NUM
fumecheng-4792	174	63	)	)	PUNCT
fumecheng-4792	174	64	is	be	AUX
fumecheng-4792	174	65	evaluated	evaluate	VERB
fumecheng-4792	174	66	in	in	ADP
fumecheng-4792	174	67	the	the	DET
fumecheng-4792	174	68	plane	plane	NOUN
fumecheng-4792	174	69	of	of	ADP
fumecheng-4792	174	70	the	the	DET
fumecheng-4792	174	71	two	two	NUM
fumecheng-4792	174	72	coordinates	coordinate	NOUN
fumecheng-4792	174	73	x	x	PUNCT
fumecheng-4792	174	74	and	and	CCONJ
fumecheng-4792	174	75	y	y	PROPN
fumecheng-4792	174	76	which	which	PRON
fumecheng-4792	174	77	perfectly	perfectly	ADV
fumecheng-4792	174	78	aligns	align	VERB
fumecheng-4792	174	79	with	with	ADP
fumecheng-4792	174	80	the	the	DET
fumecheng-4792	174	81	even	even	ADV
fumecheng-4792	174	82	half	half	ADJ
fumecheng-4792	174	83	-	-	PUNCT
fumecheng-4792	174	84	space	space	NOUN
fumecheng-4792	174	85	surface	surface	NOUN
fumecheng-4792	174	86	.	.	PUNCT
fumecheng-4792	175	1	this	this	PRON
fumecheng-4792	175	2	makes	make	VERB
fumecheng-4792	175	3	it	it	PRON
fumecheng-4792	175	4	possible	possible	ADJ
fumecheng-4792	175	5	to	to	PART
fumecheng-4792	175	6	align	align	VERB
fumecheng-4792	175	7	a	a	DET
fumecheng-4792	175	8	regular	regular	ADJ
fumecheng-4792	175	9	two	two	NUM
fumecheng-4792	175	10	-	-	PUNCT
fumecheng-4792	175	11	dimensional	dimensional	ADJ
fumecheng-4792	175	12	grid	grid	NOUN
fumecheng-4792	175	13	on	on	ADP
fumecheng-4792	175	14	which	which	PRON
fumecheng-4792	175	15	the	the	DET
fumecheng-4792	175	16	fft	fft	NOUN
fumecheng-4792	175	17	is	be	AUX
fumecheng-4792	175	18	performed	perform	VERB
fumecheng-4792	175	19	with	with	ADP
fumecheng-4792	175	20	the	the	DET
fumecheng-4792	175	21	domain	domain	NOUN
fumecheng-4792	175	22	(	(	PUNCT
fumecheng-4792	175	23	see	see	VERB
fumecheng-4792	175	24	fig	fig	NOUN
fumecheng-4792	175	25	.	.	PUNCT
fumecheng-4792	176	1	11a	11a	NOUN
fumecheng-4792	176	2	)	)	PUNCT
fumecheng-4792	176	3	.	.	PUNCT
fumecheng-4792	177	1	10	10	NUM
fumecheng-4792	177	2	j.	j.	PROPN
fumecheng-4792	177	3	benad	benad	PROPN
fumecheng-4792	177	4	a	a	DET
fumecheng-4792	177	5	)	)	PUNCT
fumecheng-4792	177	6	b	b	NOUN
fumecheng-4792	177	7	)	)	PUNCT
fumecheng-4792	177	8	fig	fig	NOUN
fumecheng-4792	177	9	.	.	PUNCT
fumecheng-4792	178	1	11	11	NUM
fumecheng-4792	178	2	a	a	X
fumecheng-4792	178	3	)	)	PUNCT
fumecheng-4792	178	4	a	a	DET
fumecheng-4792	178	5	uniform	uniform	ADJ
fumecheng-4792	178	6	grid	grid	NOUN
fumecheng-4792	178	7	aligned	align	VERB
fumecheng-4792	178	8	with	with	ADP
fumecheng-4792	178	9	the	the	DET
fumecheng-4792	178	10	even	even	ADJ
fumecheng-4792	178	11	surface	surface	NOUN
fumecheng-4792	178	12	of	of	ADP
fumecheng-4792	178	13	a	a	DET
fumecheng-4792	178	14	half	half	ADJ
fumecheng-4792	178	15	-	-	PUNCT
fumecheng-4792	178	16	space	space	NOUN
fumecheng-4792	178	17	,	,	PUNCT
fumecheng-4792	178	18	b	b	NOUN
fumecheng-4792	178	19	)	)	PUNCT
fumecheng-4792	178	20	an	an	DET
fumecheng-4792	178	21	arbitrary	arbitrary	ADJ
fumecheng-4792	178	22	shape	shape	NOUN
fumecheng-4792	178	23	fully	fully	ADV
fumecheng-4792	178	24	enclosed	enclose	VERB
fumecheng-4792	178	25	with	with	ADP
fumecheng-4792	178	26	a	a	DET
fumecheng-4792	178	27	uniform	uniform	ADJ
fumecheng-4792	178	28	three	three	NUM
fumecheng-4792	178	29	-	-	PUNCT
fumecheng-4792	178	30	dimensional	dimensional	ADJ
fumecheng-4792	178	31	grid	grid	NOUN
fumecheng-4792	178	32	for	for	ADP
fumecheng-4792	178	33	arbitrary	arbitrary	ADJ
fumecheng-4792	178	34	shapes	shape	NOUN
fumecheng-4792	178	35	,	,	PUNCT
fumecheng-4792	178	36	the	the	DET
fumecheng-4792	178	37	boundary	boundary	ADJ
fumecheng-4792	178	38	integral	integral	ADJ
fumecheng-4792	178	39	equations	equation	NOUN
fumecheng-4792	178	40	represent	represent	VERB
fumecheng-4792	178	41	convolutions	convolution	NOUN
fumecheng-4792	178	42	over	over	ADP
fumecheng-4792	178	43	the	the	DET
fumecheng-4792	178	44	entire	entire	ADJ
fumecheng-4792	178	45	three	three	NUM
fumecheng-4792	178	46	-	-	PUNCT
fumecheng-4792	178	47	dimensional	dimensional	ADJ
fumecheng-4792	178	48	space	space	NOUN
fumecheng-4792	178	49	which	which	PRON
fumecheng-4792	178	50	encloses	enclose	VERB
fumecheng-4792	178	51	the	the	DET
fumecheng-4792	178	52	arbitrary	arbitrary	ADJ
fumecheng-4792	178	53	shape	shape	NOUN
fumecheng-4792	178	54	(	(	PUNCT
fumecheng-4792	178	55	see	see	VERB
fumecheng-4792	178	56	fig	fig	NOUN
fumecheng-4792	178	57	.	.	PUNCT
fumecheng-4792	178	58	11b	11b	NOUN
fumecheng-4792	178	59	)	)	PUNCT
fumecheng-4792	178	60	.	.	PUNCT
fumecheng-4792	179	1	it	it	PRON
fumecheng-4792	179	2	is	be	AUX
fumecheng-4792	179	3	shown	show	VERB
fumecheng-4792	179	4	in	in	ADP
fumecheng-4792	179	5	[	[	X
fumecheng-4792	179	6	11	11	NUM
fumecheng-4792	179	7	]	]	PUNCT
fumecheng-4792	179	8	and	and	CCONJ
fumecheng-4792	179	9	[	[	X
fumecheng-4792	179	10	12	12	NUM
fumecheng-4792	179	11	]	]	X
fumecheng-4792	179	12	how	how	SCONJ
fumecheng-4792	179	13	one	one	PRON
fumecheng-4792	179	14	has	have	VERB
fumecheng-4792	179	15	to	to	PART
fumecheng-4792	179	16	appropriately	appropriately	ADV
fumecheng-4792	179	17	set	set	VERB
fumecheng-4792	179	18	zeros	zero	NOUN
fumecheng-4792	179	19	at	at	ADP
fumecheng-4792	179	20	grid	grid	NOUN
fumecheng-4792	179	21	points	point	NOUN
fumecheng-4792	179	22	which	which	PRON
fumecheng-4792	179	23	are	be	AUX
fumecheng-4792	179	24	not	not	PART
fumecheng-4792	179	25	in	in	ADP
fumecheng-4792	179	26	close	close	ADJ
fumecheng-4792	179	27	proximity	proximity	NOUN
fumecheng-4792	179	28	to	to	ADP
fumecheng-4792	179	29	the	the	DET
fumecheng-4792	179	30	actual	actual	ADJ
fumecheng-4792	179	31	surface	surface	NOUN
fumecheng-4792	179	32	so	so	SCONJ
fumecheng-4792	179	33	as	as	SCONJ
fumecheng-4792	179	34	not	not	PART
fumecheng-4792	179	35	to	to	PART
fumecheng-4792	179	36	distort	distort	VERB
fumecheng-4792	179	37	the	the	DET
fumecheng-4792	179	38	results	result	NOUN
fumecheng-4792	179	39	one	one	PRON
fumecheng-4792	179	40	obtains	obtain	VERB
fumecheng-4792	179	41	with	with	ADP
fumecheng-4792	179	42	this	this	DET
fumecheng-4792	179	43	technique	technique	NOUN
fumecheng-4792	179	44	.	.	PUNCT
fumecheng-4792	180	1	using	use	VERB
fumecheng-4792	180	2	the	the	DET
fumecheng-4792	180	3	fft	fft	NOUN
fumecheng-4792	180	4	in	in	ADP
fumecheng-4792	180	5	such	such	DET
fumecheng-4792	180	6	a	a	DET
fumecheng-4792	180	7	fashion	fashion	NOUN
fumecheng-4792	180	8	as	as	SCONJ
fumecheng-4792	180	9	to	to	PART
fumecheng-4792	180	10	obtain	obtain	VERB
fumecheng-4792	180	11	the	the	DET
fumecheng-4792	180	12	boundary	boundary	ADJ
fumecheng-4792	180	13	integrals	integral	NOUN
fumecheng-4792	180	14	on	on	ADP
fumecheng-4792	180	15	arbitrary	arbitrary	ADJ
fumecheng-4792	180	16	shapes	shape	NOUN
fumecheng-4792	180	17	lowers	lower	VERB
fumecheng-4792	180	18	the	the	DET
fumecheng-4792	180	19	computational	computational	ADJ
fumecheng-4792	180	20	complexity	complexity	NOUN
fumecheng-4792	180	21	from	from	ADP
fumecheng-4792	180	22	o(n	o(n	PROPN
fumecheng-4792	180	23	4	4	NUM
fumecheng-4792	180	24	)	)	PUNCT
fumecheng-4792	180	25	to	to	ADP
fumecheng-4792	180	26	o(n	o(n	NOUN
fumecheng-4792	180	27	3	3	NUM
fumecheng-4792	180	28	log	log	NOUN
fumecheng-4792	180	29	n	n	ADV
fumecheng-4792	180	30	1.5	1.5	NUM
fumecheng-4792	180	31	)	)	PUNCT
fumecheng-4792	180	32	.	.	PUNCT
fumecheng-4792	181	1	while	while	SCONJ
fumecheng-4792	181	2	this	this	PRON
fumecheng-4792	181	3	is	be	AUX
fumecheng-4792	181	4	still	still	ADV
fumecheng-4792	181	5	for	for	ADP
fumecheng-4792	181	6	one	one	NUM
fumecheng-4792	181	7	dimension	dimension	NOUN
fumecheng-4792	181	8	higher	high	ADJ
fumecheng-4792	181	9	than	than	ADP
fumecheng-4792	181	10	the	the	DET
fumecheng-4792	181	11	o(n	o(n	PROPN
fumecheng-4792	181	12	2	2	NUM
fumecheng-4792	181	13	log	log	NOUN
fumecheng-4792	181	14	n	n	CCONJ
fumecheng-4792	181	15	)	)	PUNCT
fumecheng-4792	181	16	complexity	complexity	NOUN
fumecheng-4792	181	17	of	of	ADP
fumecheng-4792	181	18	the	the	DET
fumecheng-4792	181	19	half	half	ADJ
fumecheng-4792	181	20	space	space	NOUN
fumecheng-4792	181	21	,	,	PUNCT
fumecheng-4792	181	22	the	the	DET
fumecheng-4792	181	23	technique	technique	NOUN
fumecheng-4792	181	24	opens	open	VERB
fumecheng-4792	181	25	up	up	ADP
fumecheng-4792	181	26	opportunities	opportunity	NOUN
fumecheng-4792	181	27	for	for	ADP
fumecheng-4792	181	28	further	further	ADJ
fumecheng-4792	181	29	reduction	reduction	NOUN
fumecheng-4792	181	30	in	in	ADP
fumecheng-4792	181	31	computational	computational	ADJ
fumecheng-4792	181	32	complexity	complexity	NOUN
fumecheng-4792	181	33	through	through	ADP
fumecheng-4792	181	34	a	a	DET
fumecheng-4792	181	35	variable	variable	ADJ
fumecheng-4792	181	36	grid	grid	NOUN
fumecheng-4792	181	37	(	(	PUNCT
fumecheng-4792	181	38	see	see	VERB
fumecheng-4792	181	39	[	[	X
fumecheng-4792	181	40	12	12	NUM
fumecheng-4792	181	41	]	]	NUM
fumecheng-4792	181	42	)	)	PUNCT
fumecheng-4792	181	43	,	,	PUNCT
fumecheng-4792	181	44	and	and	CCONJ
fumecheng-4792	181	45	offers	offer	VERB
fumecheng-4792	181	46	the	the	DET
fumecheng-4792	181	47	advantage	advantage	NOUN
fumecheng-4792	181	48	of	of	ADP
fumecheng-4792	181	49	utilizing	utilize	VERB
fumecheng-4792	181	50	highly	highly	ADV
fumecheng-4792	181	51	efficient	efficient	ADJ
fumecheng-4792	181	52	implementation	implementation	NOUN
fumecheng-4792	181	53	of	of	ADP
fumecheng-4792	181	54	the	the	DET
fumecheng-4792	181	55	fft	fft	PROPN
fumecheng-4792	181	56	,	,	PUNCT
fumecheng-4792	181	57	which	which	PRON
fumecheng-4792	181	58	can	can	AUX
fumecheng-4792	181	59	be	be	AUX
fumecheng-4792	181	60	accelerated	accelerate	VERB
fumecheng-4792	181	61	even	even	ADV
fumecheng-4792	181	62	further	far	ADV
fumecheng-4792	181	63	on	on	ADP
fumecheng-4792	181	64	parallel	parallel	ADJ
fumecheng-4792	181	65	systems	system	NOUN
fumecheng-4792	181	66	such	such	ADJ
fumecheng-4792	181	67	as	as	ADP
fumecheng-4792	181	68	the	the	DET
fumecheng-4792	181	69	graphics	graphic	NOUN
fumecheng-4792	181	70	processing	processing	NOUN
fumecheng-4792	181	71	unit	unit	NOUN
fumecheng-4792	181	72	(	(	PUNCT
fumecheng-4792	181	73	gpu	gpu	PROPN
fumecheng-4792	181	74	)	)	PUNCT
fumecheng-4792	181	75	.	.	PUNCT
fumecheng-4792	182	1	we	we	PRON
fumecheng-4792	182	2	now	now	ADV
fumecheng-4792	182	3	build	build	VERB
fumecheng-4792	182	4	upon	upon	SCONJ
fumecheng-4792	182	5	the	the	DET
fumecheng-4792	182	6	results	result	NOUN
fumecheng-4792	182	7	found	find	VERB
fumecheng-4792	182	8	in	in	ADP
fumecheng-4792	182	9	[	[	X
fumecheng-4792	182	10	11	11	NUM
fumecheng-4792	182	11	]	]	PUNCT
fumecheng-4792	182	12	and	and	CCONJ
fumecheng-4792	182	13	[	[	X
fumecheng-4792	182	14	12	12	NUM
fumecheng-4792	182	15	]	]	PUNCT
fumecheng-4792	182	16	where	where	SCONJ
fumecheng-4792	182	17	the	the	DET
fumecheng-4792	182	18	fft	fft	NOUN
fumecheng-4792	182	19	is	be	AUX
fumecheng-4792	182	20	used	use	VERB
fumecheng-4792	182	21	to	to	PART
fumecheng-4792	182	22	accelerate	accelerate	VERB
fumecheng-4792	182	23	the	the	DET
fumecheng-4792	182	24	calculation	calculation	NOUN
fumecheng-4792	182	25	of	of	ADP
fumecheng-4792	182	26	the	the	DET
fumecheng-4792	182	27	boundary	boundary	ADJ
fumecheng-4792	182	28	integrals	integral	NOUN
fumecheng-4792	182	29	on	on	ADP
fumecheng-4792	182	30	arbitrary	arbitrary	ADJ
fumecheng-4792	182	31	shapes	shape	NOUN
fumecheng-4792	182	32	for	for	ADP
fumecheng-4792	182	33	the	the	DET
fumecheng-4792	182	34	laplace	laplace	NOUN
fumecheng-4792	182	35	equation	equation	NOUN
fumecheng-4792	182	36	.	.	PUNCT
fumecheng-4792	183	1	the	the	DET
fumecheng-4792	183	2	same	same	ADJ
fumecheng-4792	183	3	technique	technique	NOUN
fumecheng-4792	183	4	is	be	AUX
fumecheng-4792	183	5	applied	apply	VERB
fumecheng-4792	183	6	here	here	ADV
fumecheng-4792	183	7	,	,	PUNCT
fumecheng-4792	183	8	but	but	CCONJ
fumecheng-4792	183	9	for	for	ADP
fumecheng-4792	183	10	the	the	DET
fumecheng-4792	183	11	two	two	NUM
fumecheng-4792	183	12	-	-	PUNCT
fumecheng-4792	183	13	dimensional	dimensional	ADJ
fumecheng-4792	183	14	navier	navier	NOUN
fumecheng-4792	183	15	equation	equation	NOUN
fumecheng-4792	183	16	.	.	PUNCT
fumecheng-4792	184	1	boundary	boundary	ADJ
fumecheng-4792	184	2	integrals	integral	NOUN
fumecheng-4792	184	3	navier	navier	NOUN
fumecheng-4792	184	4	’s	’s	PART
fumecheng-4792	184	5	equation	equation	NOUN
fumecheng-4792	184	6	is	be	AUX
fumecheng-4792	184	7	,	,	PUNCT
fumecheng-4792	184	8	,	,	PUNCT
fumecheng-4792	184	9	1	1	NUM
fumecheng-4792	184	10	1	1	NUM
fumecheng-4792	184	11	0	0	NUM
fumecheng-4792	184	12	1	1	NUM
fumecheng-4792	184	13	2	2	NUM
fumecheng-4792	184	14	j	j	NOUN
fumecheng-4792	184	15	ji	ji	INTJ
fumecheng-4792	185	1	i	i	INTJ
fumecheng-4792	185	2	jj	jj	PROPN
fumecheng-4792	185	3	iu	iu	ADP
fumecheng-4792	185	4	u	u	PROPN
fumecheng-4792	185	5	b	b	PROPN
fumecheng-4792	185	6			ADJ
fumecheng-4792	185	7			NOUN
fumecheng-4792	185	8			ADV
fumecheng-4792	185	9			PUNCT
fumecheng-4792	185	10			PRON
fumecheng-4792	185	11			PROPN
fumecheng-4792	185	12	,	,	PUNCT
fumecheng-4792	185	13	(	(	PUNCT
fumecheng-4792	185	14	5	5	NUM
fumecheng-4792	185	15	)	)	PUNCT
fumecheng-4792	185	16	where	where	SCONJ
fumecheng-4792	185	17	i	i	PRON
fumecheng-4792	185	18	,	,	PUNCT
fumecheng-4792	185	19	j{1,2,3	j{1,2,3	VERB
fumecheng-4792	185	20	}	}	PUNCT
fumecheng-4792	185	21	and	and	CCONJ
fumecheng-4792	185	22	bi	bi	NOUN
fumecheng-4792	185	23	is	be	AUX
fumecheng-4792	185	24	the	the	DET
fumecheng-4792	185	25	force	force	NOUN
fumecheng-4792	185	26	density	density	NOUN
fumecheng-4792	185	27	field	field	NOUN
fumecheng-4792	186	1	[	[	X
fumecheng-4792	186	2	20	20	NUM
fumecheng-4792	186	3	]	]	PUNCT
fumecheng-4792	186	4	.	.	PUNCT
fumecheng-4792	187	1	for	for	ADP
fumecheng-4792	187	2	the	the	DET
fumecheng-4792	187	3	case	case	NOUN
fumecheng-4792	187	4	of	of	ADP
fumecheng-4792	187	5	plane	plane	NOUN
fumecheng-4792	187	6	displacements	displacement	NOUN
fumecheng-4792	187	7	,	,	PUNCT
fumecheng-4792	187	8	the	the	DET
fumecheng-4792	187	9	navier	navier	NOUN
fumecheng-4792	187	10	equation	equation	NOUN
fumecheng-4792	187	11	remains	remain	VERB
fumecheng-4792	187	12	as	as	ADP
fumecheng-4792	187	13	in	in	ADP
fumecheng-4792	187	14	(	(	PUNCT
fumecheng-4792	187	15	5	5	NUM
fumecheng-4792	187	16	)	)	PUNCT
fumecheng-4792	187	17	,	,	PUNCT
fumecheng-4792	187	18	but	but	CCONJ
fumecheng-4792	187	19	with	with	ADP
fumecheng-4792	187	20	i	i	PRON
fumecheng-4792	187	21	,	,	PUNCT
fumecheng-4792	187	22	j	j	PROPN
fumecheng-4792	187	23	{1,2	{1,2	NOUN
fumecheng-4792	187	24	}	}	PUNCT
fumecheng-4792	187	25	,	,	PUNCT
fumecheng-4792	187	26	[	[	X
fumecheng-4792	187	27	29	29	NUM
fumecheng-4792	187	28	]	]	PUNCT
fumecheng-4792	187	29	.	.	PUNCT
fumecheng-4792	188	1	this	this	DET
fumecheng-4792	188	2	case	case	NOUN
fumecheng-4792	188	3	can	can	AUX
fumecheng-4792	188	4	then	then	ADV
fumecheng-4792	188	5	easily	easily	ADV
fumecheng-4792	188	6	be	be	AUX
fumecheng-4792	188	7	transformed	transform	VERB
fumecheng-4792	188	8	into	into	ADP
fumecheng-4792	188	9	the	the	DET
fumecheng-4792	188	10	case	case	NOUN
fumecheng-4792	188	11	of	of	ADP
fumecheng-4792	188	12	plane	plane	NOUN
fumecheng-4792	188	13	stress	stress	NOUN
fumecheng-4792	188	14	,	,	PUNCT
fumecheng-4792	188	15	by	by	ADP
fumecheng-4792	188	16	replacing	replace	VERB
fumecheng-4792	188	17			NOUN
fumecheng-4792	188	18	with	with	ADP
fumecheng-4792	188	19	/	/	SYM
fumecheng-4792	188	20	(	(	PUNCT
fumecheng-4792	188	21	1	1	NUM
fumecheng-4792	188	22	)	)	PUNCT
fumecheng-4792	188	23			ADJ
fumecheng-4792	188	24			NOUN
fumecheng-4792	188	25	and	and	CCONJ
fumecheng-4792	188	26	leaving	leave	VERB
fumecheng-4792	188	27	the	the	DET
fumecheng-4792	188	28	value	value	NOUN
fumecheng-4792	188	29	for	for	ADP
fumecheng-4792	188	30	μ	μ	PROPN
fumecheng-4792	188	31	unchanged	unchanged	ADJ
fumecheng-4792	188	32	[	[	X
fumecheng-4792	188	33	29	29	NUM
fumecheng-4792	188	34	]	]	PUNCT
fumecheng-4792	188	35	,	,	PUNCT
fumecheng-4792	188	36	see	see	VERB
fumecheng-4792	188	37	also	also	ADV
fumecheng-4792	188	38	[	[	X
fumecheng-4792	188	39	30	30	NUM
fumecheng-4792	188	40	]	]	PUNCT
fumecheng-4792	188	41	and	and	CCONJ
fumecheng-4792	188	42	[	[	X
fumecheng-4792	188	43	31	31	NUM
fumecheng-4792	188	44	]	]	PUNCT
fumecheng-4792	188	45	.	.	PUNCT
fumecheng-4792	189	1	a	a	DET
fumecheng-4792	189	2	single	single	ADJ
fumecheng-4792	189	3	unit	unit	NOUN
fumecheng-4792	189	4	point	point	NOUN
fumecheng-4792	189	5	force	force	NOUN
fumecheng-4792	189	6	shall	shall	AUX
fumecheng-4792	189	7	act	act	VERB
fumecheng-4792	189	8	in	in	ADP
fumecheng-4792	189	9	a	a	DET
fumecheng-4792	189	10	point	point	NOUN
fumecheng-4792	189	11	0x	0x	NOUN
fumecheng-4792	189	12	,	,	PUNCT
fumecheng-4792	189	13	and	and	CCONJ
fumecheng-4792	189	14	in	in	ADP
fumecheng-4792	189	15	the	the	DET
fumecheng-4792	189	16	direction	direction	NOUN
fumecheng-4792	189	17	of	of	ADP
fumecheng-4792	189	18	a	a	DET
fumecheng-4792	189	19	unit	unit	NOUN
fumecheng-4792	189	20	vector	vector	NOUN
fumecheng-4792	189	21	e	e	NOUN
fumecheng-4792	189	22	,	,	PUNCT
fumecheng-4792	189	23	so	so	SCONJ
fumecheng-4792	189	24	that	that	SCONJ
fumecheng-4792	189	25	in	in	ADP
fumecheng-4792	189	26	eq	eq	ADP
fumecheng-4792	189	27	.	.	PUNCT
fumecheng-4792	189	28	(	(	PUNCT
fumecheng-4792	189	29	5	5	NUM
fumecheng-4792	189	30	)	)	PUNCT
fumecheng-4792	189	31	,	,	PUNCT
fumecheng-4792	189	32	it	it	PRON
fumecheng-4792	189	33	is	be	AUX
fumecheng-4792	189	34	0	0	NUM
fumecheng-4792	189	35	(	(	PUNCT
fumecheng-4792	189	36	)	)	PUNCT
fumecheng-4792	189	37	i	i	PRON
fumecheng-4792	189	38	ib	ib	VERB
fumecheng-4792	190	1	x	x	PUNCT
fumecheng-4792	190	2	x	x	PUNCT
fumecheng-4792	190	3	e	e	PROPN
fumecheng-4792	190	4			PROPN
fumecheng-4792	190	5	,	,	PUNCT
fumecheng-4792	190	6	which	which	PRON
fumecheng-4792	190	7	yields	yield	VERB
fumecheng-4792	190	8	the	the	DET
fumecheng-4792	190	9	equation	equation	NOUN
fumecheng-4792	190	10	*	*	PUNCT
fumecheng-4792	191	1	*	*	PUNCT
fumecheng-4792	191	2	0	0	NUM
fumecheng-4792	191	3	,	,	PUNCT
fumecheng-4792	191	4	,	,	PUNCT
fumecheng-4792	191	5	1	1	NUM
fumecheng-4792	191	6	1	1	NUM
fumecheng-4792	191	7	(	(	PUNCT
fumecheng-4792	191	8	)	)	PUNCT
fumecheng-4792	191	9	1	1	NUM
fumecheng-4792	191	10	2	2	NUM
fumecheng-4792	191	11	j	j	NOUN
fumecheng-4792	192	1	ji	ji	INTJ
fumecheng-4792	193	1	i	i	INTJ
fumecheng-4792	193	2	jj	jj	PROPN
fumecheng-4792	193	3	iu	iu	ADP
fumecheng-4792	193	4	u	u	PROPN
fumecheng-4792	193	5	x	x	PROPN
fumecheng-4792	193	6	x	x	SYM
fumecheng-4792	193	7	e	e	NUM
fumecheng-4792	193	8			ADJ
fumecheng-4792	193	9			NOUN
fumecheng-4792	193	10			VERB
fumecheng-4792	193	11			NUM
fumecheng-4792	193	12			PROPN
fumecheng-4792	193	13			PROPN
fumecheng-4792	193	14			PROPN
fumecheng-4792	193	15	.	.	PUNCT
fumecheng-4792	194	1	(	(	PUNCT
fumecheng-4792	194	2	6	6	X
fumecheng-4792	194	3	)	)	PUNCT
fumecheng-4792	194	4	the	the	DET
fumecheng-4792	194	5	solution	solution	NOUN
fumecheng-4792	194	6	ui	ui	PROPN
fumecheng-4792	195	1	*	*	PUNCT
fumecheng-4792	195	2	of	of	ADP
fumecheng-4792	195	3	eq	eq	PROPN
fumecheng-4792	195	4	.	.	PUNCT
fumecheng-4792	196	1	(	(	PUNCT
fumecheng-4792	196	2	6	6	NUM
fumecheng-4792	196	3	)	)	PUNCT
fumecheng-4792	196	4	is	be	AUX
fumecheng-4792	196	5	called	call	VERB
fumecheng-4792	196	6	the	the	DET
fumecheng-4792	196	7	fundamental	fundamental	ADJ
fumecheng-4792	196	8	solution	solution	NOUN
fumecheng-4792	196	9	of	of	ADP
fumecheng-4792	196	10	eq	eq	PROPN
fumecheng-4792	196	11	.	.	PUNCT
fumecheng-4792	197	1	(	(	PUNCT
fumecheng-4792	197	2	5	5	NUM
fumecheng-4792	197	3	)	)	PUNCT
fumecheng-4792	197	4	.	.	PUNCT
fumecheng-4792	198	1	it	it	PRON
fumecheng-4792	198	2	can	can	AUX
fumecheng-4792	198	3	be	be	AUX
fumecheng-4792	198	4	expressed	express	VERB
fumecheng-4792	198	5	in	in	ADP
fumecheng-4792	198	6	terms	term	NOUN
fumecheng-4792	198	7	of	of	ADP
fumecheng-4792	198	8	a	a	DET
fumecheng-4792	198	9	matrix	matrix	NOUN
fumecheng-4792	198	10	vector	vector	NOUN
fumecheng-4792	198	11	product	product	NOUN
fumecheng-4792	198	12	with	with	ADP
fumecheng-4792	198	13	*	*	PROPN
fumecheng-4792	198	14	*	*	PUNCT
fumecheng-4792	198	15	i	i	PRON
fumecheng-4792	198	16	k	k	PROPN
fumecheng-4792	198	17	kiu	kiu	PROPN
fumecheng-4792	198	18	e	e	PROPN
fumecheng-4792	198	19	u	u	X
fumecheng-4792	198	20	.	.	PUNCT
fumecheng-4792	199	1	(	(	PUNCT
fumecheng-4792	199	2	7	7	X
fumecheng-4792	199	3	)	)	PUNCT
fumecheng-4792	199	4	numerical	numerical	ADJ
fumecheng-4792	199	5	methods	method	NOUN
fumecheng-4792	199	6	for	for	ADP
fumecheng-4792	199	7	simulation	simulation	NOUN
fumecheng-4792	199	8	of	of	ADP
fumecheng-4792	199	9	deformations	deformation	NOUN
fumecheng-4792	199	10	and	and	CCONJ
fumecheng-4792	199	11	stresses	stress	NOUN
fumecheng-4792	199	12	in	in	ADP
fumecheng-4792	199	13	turbine	turbine	NOUN
fumecheng-4792	199	14	blade	blade	NOUN
fumecheng-4792	199	15	fir	fir	NOUN
fumecheng-4792	199	16	-	-	PUNCT
fumecheng-4792	199	17	tree	tree	NOUN
fumecheng-4792	199	18	connections	connection	NOUN
fumecheng-4792	199	19	11	11	NUM
fumecheng-4792	199	20	with	with	ADP
fumecheng-4792	199	21	the	the	DET
fumecheng-4792	199	22	betti	betti	PROPN
fumecheng-4792	199	23	’s	’s	PART
fumecheng-4792	199	24	theorem	theorem	NOUN
fumecheng-4792	199	25	[	[	PUNCT
fumecheng-4792	199	26	32	32	NUM
fumecheng-4792	199	27	]	]	PUNCT
fumecheng-4792	199	28	,	,	PUNCT
fumecheng-4792	199	29	the	the	DET
fumecheng-4792	199	30	divergence	divergence	NOUN
fumecheng-4792	199	31	theorem	theorem	NOUN
fumecheng-4792	199	32	,	,	PUNCT
fumecheng-4792	199	33	and	and	CCONJ
fumecheng-4792	199	34	the	the	DET
fumecheng-4792	199	35	definition	definition	NOUN
fumecheng-4792	199	36	of	of	ADP
fumecheng-4792	199	37	the	the	DET
fumecheng-4792	199	38	fundamental	fundamental	ADJ
fumecheng-4792	199	39	solution	solution	NOUN
fumecheng-4792	199	40	given	give	VERB
fumecheng-4792	199	41	in	in	ADP
fumecheng-4792	199	42	eq	eq	ADP
fumecheng-4792	199	43	.	.	PUNCT
fumecheng-4792	200	1	(	(	PUNCT
fumecheng-4792	200	2	6	6	NUM
fumecheng-4792	200	3	)	)	PUNCT
fumecheng-4792	200	4	,	,	PUNCT
fumecheng-4792	200	5	one	one	NUM
fumecheng-4792	200	6	obtains	obtain	VERB
fumecheng-4792	200	7	(	(	PUNCT
fumecheng-4792	200	8	see	see	VERB
fumecheng-4792	200	9	[	[	X
fumecheng-4792	200	10	33	33	NUM
fumecheng-4792	200	11	]	]	SYM
fumecheng-4792	200	12	)	)	PUNCT
fumecheng-4792	200	13	somigliana	somigliana	PROPN
fumecheng-4792	200	14	’s	’s	PART
fumecheng-4792	200	15	identity	identity	NOUN
fumecheng-4792	200	16	*	*	PUNCT
fumecheng-4792	201	1	*	*	PUNCT
fumecheng-4792	201	2	0	0	NUM
fumecheng-4792	201	3	0	0	NUM
fumecheng-4792	201	4	0	0	NUM
fumecheng-4792	201	5	(	(	PUNCT
fumecheng-4792	201	6	)	)	PUNCT
fumecheng-4792	201	7	(	(	PUNCT
fumecheng-4792	201	8	,	,	PUNCT
fumecheng-4792	201	9	)	)	PUNCT
fumecheng-4792	201	10	(	(	PUNCT
fumecheng-4792	201	11	)	)	PUNCT
fumecheng-4792	201	12	(	(	PUNCT
fumecheng-4792	201	13	,	,	PUNCT
fumecheng-4792	201	14	)	)	PUNCT
fumecheng-4792	201	15	(	(	PUNCT
fumecheng-4792	201	16	)	)	PUNCT
fumecheng-4792	201	17	,	,	PUNCT
fumecheng-4792	201	18	i	i	PRON
fumecheng-4792	201	19	ij	ij	VERB
fumecheng-4792	202	1	j	j	PROPN
fumecheng-4792	202	2	ij	ij	INTJ
fumecheng-4792	202	3	j	j	PROPN
fumecheng-4792	202	4	s	s	X
fumecheng-4792	202	5	s	s	X
fumecheng-4792	202	6	u	u	X
fumecheng-4792	202	7	x	x	SYM
fumecheng-4792	202	8	u	u	NOUN
fumecheng-4792	202	9	x	x	X
fumecheng-4792	202	10	x	x	X
fumecheng-4792	202	11	t	t	X
fumecheng-4792	202	12	x	x	X
fumecheng-4792	202	13	ds	ds	PROPN
fumecheng-4792	202	14	t	t	NOUN
fumecheng-4792	202	15	x	x	PUNCT
fumecheng-4792	202	16	x	x	PUNCT
fumecheng-4792	202	17	u	u	NOUN
fumecheng-4792	202	18	x	x	AUX
fumecheng-4792	202	19	ds	ds	VERB
fumecheng-4792	202	20			NOUN
fumecheng-4792	202	21			PUNCT
fumecheng-4792	202	22	(	(	PUNCT
fumecheng-4792	202	23	8)	8)	NUM
fumecheng-4792	202	24	which	which	PRON
fumecheng-4792	202	25	relates	relate	VERB
fumecheng-4792	202	26	the	the	DET
fumecheng-4792	202	27	deformations	deformation	NOUN
fumecheng-4792	202	28	(	(	PUNCT
fumecheng-4792	202	29	)	)	PUNCT
fumecheng-4792	202	30	ju	ju	NOUN
fumecheng-4792	202	31	x	x	PUNCT
fumecheng-4792	202	32	and	and	CCONJ
fumecheng-4792	202	33	stress	stress	NOUN
fumecheng-4792	202	34	vector	vector	NOUN
fumecheng-4792	202	35	(	(	PUNCT
fumecheng-4792	202	36	)	)	PUNCT
fumecheng-4792	202	37	(	(	PUNCT
fumecheng-4792	202	38	)	)	PUNCT
fumecheng-4792	202	39	(	(	PUNCT
fumecheng-4792	202	40	)	)	PUNCT
fumecheng-4792	203	1	j	j	PROPN
fumecheng-4792	203	2	jk	jk	PROPN
fumecheng-4792	203	3	k	k	PROPN
fumecheng-4792	203	4	t	t	PROPN
fumecheng-4792	203	5	x	x	PUNCT
fumecheng-4792	204	1	x	x	PROPN
fumecheng-4792	204	2	n	n	PRON
fumecheng-4792	204	3	x	x	NOUN
fumecheng-4792	204	4	on	on	ADP
fumecheng-4792	204	5	the	the	DET
fumecheng-4792	204	6	boundary	boundary	ADJ
fumecheng-4792	204	7	s	s	PART
fumecheng-4792	204	8	(	(	PUNCT
fumecheng-4792	204	9	outward	outward	VERB
fumecheng-4792	204	10	normal	normal	ADJ
fumecheng-4792	204	11	vector	vector	NOUN
fumecheng-4792	204	12	nk	nk	PROPN
fumecheng-4792	204	13	)	)	PUNCT
fumecheng-4792	204	14	to	to	ADP
fumecheng-4792	204	15	the	the	DET
fumecheng-4792	204	16	deformation	deformation	NOUN
fumecheng-4792	204	17	0	0	NUM
fumecheng-4792	204	18	(	(	PUNCT
fumecheng-4792	204	19	)	)	PUNCT
fumecheng-4792	204	20	j	j	PROPN
fumecheng-4792	204	21	u	u	NOUN
fumecheng-4792	205	1	x	x	VERB
fumecheng-4792	205	2	at	at	ADP
fumecheng-4792	205	3	a	a	DET
fumecheng-4792	205	4	particular	particular	ADJ
fumecheng-4792	205	5	inner	inner	ADJ
fumecheng-4792	205	6	point	point	NOUN
fumecheng-4792	205	7	0x	0x	NOUN
fumecheng-4792	205	8	.	.	PUNCT
fumecheng-4792	206	1	the	the	DET
fumecheng-4792	206	2	term	term	NOUN
fumecheng-4792	206	3	*	*	PUNCT
fumecheng-4792	206	4	0	0	PUNCT
fumecheng-4792	206	5	(	(	PUNCT
fumecheng-4792	206	6	,	,	PUNCT
fumecheng-4792	206	7	)	)	PUNCT
fumecheng-4792	206	8	ijt	ijt	NOUN
fumecheng-4792	206	9	x	x	X
fumecheng-4792	206	10	x	x	X
fumecheng-4792	206	11	which	which	PRON
fumecheng-4792	206	12	occurs	occur	VERB
fumecheng-4792	206	13	in	in	ADP
fumecheng-4792	206	14	(	(	PUNCT
fumecheng-4792	206	15	8)	8)	NUM
fumecheng-4792	206	16	is	be	AUX
fumecheng-4792	206	17	briefly	briefly	ADV
fumecheng-4792	206	18	explained	explain	VERB
fumecheng-4792	206	19	in	in	ADP
fumecheng-4792	206	20	the	the	DET
fumecheng-4792	206	21	following	following	NOUN
fumecheng-4792	206	22	:	:	PUNCT
fumecheng-4792	206	23	note	note	VERB
fumecheng-4792	206	24	that	that	SCONJ
fumecheng-4792	206	25	a	a	DET
fumecheng-4792	206	26	certain	certain	ADJ
fumecheng-4792	206	27	stress	stress	NOUN
fumecheng-4792	206	28	field	field	NOUN
fumecheng-4792	206	29	σij	σij	NOUN
fumecheng-4792	206	30	*	*	PUNCT
fumecheng-4792	206	31	belongs	belong	VERB
fumecheng-4792	206	32	to	to	ADP
fumecheng-4792	206	33	the	the	DET
fumecheng-4792	206	34	fundamental	fundamental	ADJ
fumecheng-4792	206	35	solution	solution	NOUN
fumecheng-4792	206	36	for	for	ADP
fumecheng-4792	206	37	the	the	DET
fumecheng-4792	206	38	deformation	deformation	NOUN
fumecheng-4792	206	39	field	field	NOUN
fumecheng-4792	206	40	ui	ui	PROPN
fumecheng-4792	206	41	*	*	X
fumecheng-4792	206	42	.	.	PUNCT
fumecheng-4792	207	1	depending	depend	VERB
fumecheng-4792	207	2	on	on	ADP
fumecheng-4792	207	3	the	the	DET
fumecheng-4792	207	4	position	position	NOUN
fumecheng-4792	207	5	0x	0x	NOUN
fumecheng-4792	207	6	,	,	PUNCT
fumecheng-4792	207	7	this	this	PRON
fumecheng-4792	207	8	sets	set	VERB
fumecheng-4792	207	9	a	a	DET
fumecheng-4792	207	10	corresponding	corresponding	ADJ
fumecheng-4792	207	11	stress	stress	NOUN
fumecheng-4792	207	12	vector	vector	NOUN
fumecheng-4792	207	13	*	*	PUNCT
fumecheng-4792	208	1	*	*	PUNCT
fumecheng-4792	208	2	0	0	NUM
fumecheng-4792	208	3	0	0	NUM
fumecheng-4792	208	4	(	(	PUNCT
fumecheng-4792	208	5	,	,	PUNCT
fumecheng-4792	208	6	)	)	PUNCT
fumecheng-4792	208	7	(	(	PUNCT
fumecheng-4792	208	8	,	,	PUNCT
fumecheng-4792	208	9	)	)	PUNCT
fumecheng-4792	208	10	(	(	PUNCT
fumecheng-4792	208	11	)	)	PUNCT
fumecheng-4792	208	12	j	j	PROPN
fumecheng-4792	208	13	jk	jk	PROPN
fumecheng-4792	208	14	kt	kt	PROPN
fumecheng-4792	208	15	x	x	PUNCT
fumecheng-4792	208	16	x	x	PUNCT
fumecheng-4792	208	17	x	x	SYM
fumecheng-4792	208	18	x	x	SYM
fumecheng-4792	208	19	n	n	PRON
fumecheng-4792	208	20	x	x	NOUN
fumecheng-4792	208	21	on	on	ADP
fumecheng-4792	208	22	the	the	DET
fumecheng-4792	208	23	given	give	VERB
fumecheng-4792	208	24	boundary	boundary	NOUN
fumecheng-4792	208	25	.	.	PUNCT
fumecheng-4792	209	1	a	a	DET
fumecheng-4792	209	2	matrix	matrix	NOUN
fumecheng-4792	209	3	tij	tij	NOUN
fumecheng-4792	209	4	*	*	PUNCT
fumecheng-4792	209	5	is	be	AUX
fumecheng-4792	209	6	then	then	ADV
fumecheng-4792	209	7	constructed	construct	VERB
fumecheng-4792	209	8	so	so	SCONJ
fumecheng-4792	209	9	as	as	SCONJ
fumecheng-4792	209	10	to	to	PART
fumecheng-4792	209	11	express	express	VERB
fumecheng-4792	209	12	this	this	DET
fumecheng-4792	209	13	stress	stress	NOUN
fumecheng-4792	209	14	vector	vector	NOUN
fumecheng-4792	209	15	with	with	ADP
fumecheng-4792	209	16	*	*	PROPN
fumecheng-4792	210	1	*	*	PUNCT
fumecheng-4792	210	2	j	j	NOUN
fumecheng-4792	211	1	i	i	PRON
fumecheng-4792	211	2	ijt	ijt	VERB
fumecheng-4792	211	3	e	e	VERB
fumecheng-4792	211	4	t	t	PROPN
fumecheng-4792	211	5	.	.	PUNCT
fumecheng-4792	212	1	(	(	PUNCT
fumecheng-4792	212	2	9	9	X
fumecheng-4792	212	3	)	)	PUNCT
fumecheng-4792	212	4	accordingly	accordingly	ADV
fumecheng-4792	212	5	,	,	PUNCT
fumecheng-4792	212	6	and	and	CCONJ
fumecheng-4792	212	7	with	with	ADP
fumecheng-4792	212	8	the	the	DET
fumecheng-4792	212	9	material	material	NOUN
fumecheng-4792	212	10	law	law	NOUN
fumecheng-4792	212	11	for	for	ADP
fumecheng-4792	212	12	a	a	DET
fumecheng-4792	212	13	linearly	linearly	ADV
fumecheng-4792	212	14	elastic	elastic	ADJ
fumecheng-4792	212	15	isotropic	isotropic	NOUN
fumecheng-4792	212	16	solid	solid	ADJ
fumecheng-4792	212	17	[	[	X
fumecheng-4792	212	18	34	34	NUM
fumecheng-4792	212	19	]	]	PUNCT
fumecheng-4792	212	20	,	,	PUNCT
fumecheng-4792	212	21	one	one	PRON
fumecheng-4792	212	22	obtains	obtain	VERB
fumecheng-4792	212	23	*	*	PUNCT
fumecheng-4792	213	1	*	*	PUNCT
fumecheng-4792	213	2	*	*	PUNCT
fumecheng-4792	213	3	*	*	PUNCT
fumecheng-4792	213	4	,	,	PUNCT
fumecheng-4792	213	5	,	,	PUNCT
fumecheng-4792	213	6	,	,	PUNCT
fumecheng-4792	213	7	2	2	NUM
fumecheng-4792	213	8	(	(	PUNCT
fumecheng-4792	213	9	)	)	PUNCT
fumecheng-4792	213	10	1	1	NUM
fumecheng-4792	213	11	2	2	NUM
fumecheng-4792	213	12	ij	ij	NOUN
fumecheng-4792	213	13	ik	ik	PROPN
fumecheng-4792	213	14	k	k	PROPN
fumecheng-4792	213	15	j	j	PROPN
fumecheng-4792	214	1	ij	ij	INTJ
fumecheng-4792	214	2	k	k	PROPN
fumecheng-4792	214	3	k	k	PROPN
fumecheng-4792	214	4	ik	ik	PROPN
fumecheng-4792	214	5	j	j	PROPN
fumecheng-4792	214	6	kt	kt	PROPN
fumecheng-4792	214	7	u	u	PROPN
fumecheng-4792	214	8	n	n	ADP
fumecheng-4792	214	9	u	u	NOUN
fumecheng-4792	214	10	n	n	ADP
fumecheng-4792	214	11	u	u	NOUN
fumecheng-4792	214	12	n	n	CCONJ
fumecheng-4792	214	13			PROPN
fumecheng-4792	214	14			NOUN
fumecheng-4792	214	15			NOUN
fumecheng-4792	215	1			PROPN
fumecheng-4792	215	2			ADV
fumecheng-4792	215	3			PUNCT
fumecheng-4792	215	4			PROPN
fumecheng-4792	215	5	.	.	PUNCT
fumecheng-4792	216	1	(	(	PUNCT
fumecheng-4792	216	2	10	10	NUM
fumecheng-4792	216	3	)	)	PUNCT
fumecheng-4792	216	4	the	the	DET
fumecheng-4792	216	5	fundamental	fundamental	ADJ
fumecheng-4792	216	6	solution	solution	NOUN
fumecheng-4792	216	7	for	for	ADP
fumecheng-4792	216	8	the	the	DET
fumecheng-4792	216	9	arbitrary	arbitrary	ADJ
fumecheng-4792	216	10	three	three	NUM
fumecheng-4792	216	11	-	-	PUNCT
fumecheng-4792	216	12	dimensional	dimensional	ADJ
fumecheng-4792	216	13	case	case	NOUN
fumecheng-4792	216	14	or	or	CCONJ
fumecheng-4792	216	15	for	for	ADP
fumecheng-4792	216	16	the	the	DET
fumecheng-4792	216	17	cases	case	NOUN
fumecheng-4792	216	18	of	of	ADP
fumecheng-4792	216	19	plane	plane	NOUN
fumecheng-4792	216	20	displacements	displacement	NOUN
fumecheng-4792	216	21	or	or	CCONJ
fumecheng-4792	216	22	plane	plane	NOUN
fumecheng-4792	216	23	stress	stress	NOUN
fumecheng-4792	216	24	can	can	AUX
fumecheng-4792	216	25	be	be	AUX
fumecheng-4792	216	26	found	find	VERB
fumecheng-4792	216	27	in	in	ADP
fumecheng-4792	216	28	the	the	DET
fumecheng-4792	216	29	literature	literature	NOUN
fumecheng-4792	216	30	.	.	PUNCT
fumecheng-4792	217	1	for	for	ADP
fumecheng-4792	217	2	simplicity	simplicity	NOUN
fumecheng-4792	217	3	,	,	PUNCT
fumecheng-4792	217	4	we	we	PRON
fumecheng-4792	217	5	will	will	AUX
fumecheng-4792	217	6	from	from	ADP
fumecheng-4792	217	7	now	now	ADV
fumecheng-4792	217	8	on	on	ADV
fumecheng-4792	217	9	only	only	ADV
fumecheng-4792	217	10	consider	consider	VERB
fumecheng-4792	217	11	the	the	DET
fumecheng-4792	217	12	case	case	NOUN
fumecheng-4792	217	13	of	of	ADP
fumecheng-4792	217	14	plane	plane	NOUN
fumecheng-4792	217	15	displacements	displacement	NOUN
fumecheng-4792	217	16	.	.	PUNCT
fumecheng-4792	218	1	through	through	ADP
fumecheng-4792	218	2	eq	eq	NOUN
fumecheng-4792	218	3	.	.	PUNCT
fumecheng-4792	219	1	(	(	PUNCT
fumecheng-4792	219	2	7	7	NUM
fumecheng-4792	219	3	)	)	PUNCT
fumecheng-4792	219	4	,	,	PUNCT
fumecheng-4792	219	5	the	the	DET
fumecheng-4792	219	6	two	two	NUM
fumecheng-4792	219	7	-	-	PUNCT
fumecheng-4792	219	8	dimensional	dimensional	ADJ
fumecheng-4792	219	9	fundamental	fundamental	ADJ
fumecheng-4792	219	10	solution	solution	NOUN
fumecheng-4792	219	11	of	of	ADP
fumecheng-4792	219	12	eq	eq	PROPN
fumecheng-4792	219	13	.	.	PUNCT
fumecheng-4792	220	1	(	(	PUNCT
fumecheng-4792	220	2	5	5	NUM
fumecheng-4792	220	3	)	)	PUNCT
fumecheng-4792	220	4	is	be	AUX
fumecheng-4792	220	5	for	for	ADP
fumecheng-4792	220	6	this	this	DET
fumecheng-4792	220	7	case	case	NOUN
fumecheng-4792	220	8	given	give	VERB
fumecheng-4792	220	9	with	with	ADP
fumecheng-4792	220	10	[	[	X
fumecheng-4792	220	11	33	33	NUM
fumecheng-4792	220	12	]	]	SYM
fumecheng-4792	220	13	2	2	NUM
fumecheng-4792	220	14	0	0	NUM
fumecheng-4792	220	15	0	0	NUM
fumecheng-4792	220	16	*	*	PUNCT
fumecheng-4792	220	17	(	(	PUNCT
fumecheng-4792	220	18	3	3	NUM
fumecheng-4792	220	19	4	4	NUM
fumecheng-4792	220	20	)	)	PUNCT
fumecheng-4792	220	21	ln	ln	ADJ
fumecheng-4792	220	22	(	(	PUNCT
fumecheng-4792	220	23	)	)	PUNCT
fumecheng-4792	220	24	(	(	PUNCT
fumecheng-4792	220	25	)	)	PUNCT
fumecheng-4792	220	26	(	(	PUNCT
fumecheng-4792	220	27	)	)	PUNCT
fumecheng-4792	220	28	/	/	SYM
fumecheng-4792	220	29	8	8	NUM
fumecheng-4792	220	30	(	(	PUNCT
fumecheng-4792	220	31	1	1	NUM
fumecheng-4792	220	32	)	)	PUNCT
fumecheng-4792	220	33	ij	ij	INTJ
fumecheng-4792	221	1	i	i	PRON
fumecheng-4792	222	1	i	i	INTJ
fumecheng-4792	222	2	j	j	PROPN
fumecheng-4792	223	1	j	j	INTJ
fumecheng-4792	223	2	ij	ij	INTJ
fumecheng-4792	224	1	r	r	NOUN
fumecheng-4792	224	2	x	x	PUNCT
fumecheng-4792	224	3	x	x	PUNCT
fumecheng-4792	224	4	x	x	PUNCT
fumecheng-4792	224	5	x	x	SYM
fumecheng-4792	224	6	r	r	NOUN
fumecheng-4792	224	7	u	u	NOUN
fumecheng-4792	224	8			NOUN
fumecheng-4792	224	9			NUM
fumecheng-4792	224	10			NOUN
fumecheng-4792	224	11			ADJ
fumecheng-4792	224	12			PROPN
fumecheng-4792	224	13			PROPN
fumecheng-4792	224	14			PUNCT
fumecheng-4792	224	15			PROPN
fumecheng-4792	224	16			PROPN
fumecheng-4792	224	17			PROPN
fumecheng-4792	224	18			PROPN
fumecheng-4792	224	19	,	,	PUNCT
fumecheng-4792	224	20	(	(	PUNCT
fumecheng-4792	224	21	11	11	NUM
fumecheng-4792	224	22	)	)	PUNCT
fumecheng-4792	224	23	where	where	SCONJ
fumecheng-4792	224	24	2	2	NUM
fumecheng-4792	224	25	2	2	NUM
fumecheng-4792	224	26	0	0	NUM
fumecheng-4792	224	27	0	0	NUM
fumecheng-4792	224	28	(	(	PUNCT
fumecheng-4792	224	29	)	)	PUNCT
fumecheng-4792	224	30	(	(	PUNCT
fumecheng-4792	224	31	)	)	PUNCT
fumecheng-4792	224	32	r	r	NOUN
fumecheng-4792	224	33	x	x	PUNCT
fumecheng-4792	224	34	x	x	SYM
fumecheng-4792	224	35	y	y	PROPN
fumecheng-4792	224	36	y	y	PROPN
fumecheng-4792	224	37			PROPN
fumecheng-4792	224	38			VERB
fumecheng-4792	224	39			PROPN
fumecheng-4792	224	40	.	.	PUNCT
fumecheng-4792	225	1	note	note	VERB
fumecheng-4792	225	2	that	that	SCONJ
fumecheng-4792	225	3	we	we	PRON
fumecheng-4792	225	4	choose	choose	VERB
fumecheng-4792	225	5	to	to	PART
fumecheng-4792	225	6	denote	denote	VERB
fumecheng-4792	226	1	xi=1	xi=1	PROPN
fumecheng-4792	226	2	as	as	ADP
fumecheng-4792	226	3	x	x	PROPN
fumecheng-4792	226	4	and	and	CCONJ
fumecheng-4792	226	5	xi=2	xi=2	PROPN
fumecheng-4792	226	6	as	as	ADP
fumecheng-4792	226	7	y.	y.	NOUN
fumecheng-4792	226	8	inserting	insert	VERB
fumecheng-4792	226	9	eq	eq	ADP
fumecheng-4792	226	10	.	.	PUNCT
fumecheng-4792	227	1	(	(	PUNCT
fumecheng-4792	227	2	11	11	NUM
fumecheng-4792	227	3	)	)	PUNCT
fumecheng-4792	227	4	into	into	ADP
fumecheng-4792	227	5	eq	eq	NOUN
fumecheng-4792	227	6	.	.	PUNCT
fumecheng-4792	228	1	(	(	PUNCT
fumecheng-4792	228	2	10	10	NUM
fumecheng-4792	228	3	)	)	PUNCT
fumecheng-4792	228	4	yields	yield	NOUN
fumecheng-4792	228	5	0	0	NUM
fumecheng-4792	228	6	0	0	NUM
fumecheng-4792	228	7	*	*	SYM
fumecheng-4792	228	8	0	0	NUM
fumecheng-4792	228	9	2	2	NUM
fumecheng-4792	228	10	0	0	NUM
fumecheng-4792	228	11	0	0	NUM
fumecheng-4792	229	1	(	(	PUNCT
fumecheng-4792	229	2	)	)	PUNCT
fumecheng-4792	229	3	(	(	PUNCT
fumecheng-4792	229	4	)	)	PUNCT
fumecheng-4792	229	5	1	1	NUM
fumecheng-4792	229	6	(	(	PUNCT
fumecheng-4792	229	7	1	1	NUM
fumecheng-4792	229	8	2	2	NUM
fumecheng-4792	229	9	)	)	PUNCT
fumecheng-4792	229	10	2	2	NUM
fumecheng-4792	229	11	4	4	NUM
fumecheng-4792	229	12	(	(	PUNCT
fumecheng-4792	229	13	1	1	NUM
fumecheng-4792	229	14	)	)	PUNCT
fumecheng-4792	229	15	(	(	PUNCT
fumecheng-4792	229	16	1	1	NUM
fumecheng-4792	229	17	2	2	NUM
fumecheng-4792	229	18	)	)	PUNCT
fumecheng-4792	230	1	i	i	PRON
fumecheng-4792	231	1	i	i	PRON
fumecheng-4792	232	1	j	j	PROPN
fumecheng-4792	233	1	j	j	PROPN
fumecheng-4792	233	2	k	k	PROPN
fumecheng-4792	233	3	k	k	PROPN
fumecheng-4792	234	1	ij	ij	INTJ
fumecheng-4792	234	2	ij	ij	INTJ
fumecheng-4792	235	1	k	k	PROPN
fumecheng-4792	235	2	j	j	PROPN
fumecheng-4792	236	1	j	j	PROPN
fumecheng-4792	237	1	i	i	PRON
fumecheng-4792	238	1	i	i	PRON
fumecheng-4792	239	1	i	i	PRON
fumecheng-4792	239	2	j	j	VERB
fumecheng-4792	240	1	x	x	PUNCT
fumecheng-4792	240	2	x	x	PUNCT
fumecheng-4792	240	3	x	x	PUNCT
fumecheng-4792	240	4	x	x	PUNCT
fumecheng-4792	240	5	x	x	PUNCT
fumecheng-4792	240	6	x	x	SYM
fumecheng-4792	240	7	t	t	NOUN
fumecheng-4792	240	8	n	n	CCONJ
fumecheng-4792	240	9	r	r	NOUN
fumecheng-4792	240	10	r	r	NOUN
fumecheng-4792	240	11	r	r	NOUN
fumecheng-4792	240	12	x	x	NOUN
fumecheng-4792	240	13	x	x	PUNCT
fumecheng-4792	240	14	x	x	SYM
fumecheng-4792	240	15	x	x	SYM
fumecheng-4792	240	16	n	n	CCONJ
fumecheng-4792	240	17	n	n	NOUN
fumecheng-4792	240	18	r	r	NOUN
fumecheng-4792	240	19	r	r	NOUN
fumecheng-4792	240	20			NOUN
fumecheng-4792	241	1			NUM
fumecheng-4792	241	2			PROPN
fumecheng-4792	241	3			ADJ
fumecheng-4792	241	4			ADJ
fumecheng-4792	241	5			NOUN
fumecheng-4792	241	6			NOUN
fumecheng-4792	241	7			PROPN
fumecheng-4792	241	8			PROPN
fumecheng-4792	241	9			PROPN
fumecheng-4792	241	10			NUM
fumecheng-4792	241	11			PROPN
fumecheng-4792	241	12			NOUN
fumecheng-4792	241	13			CCONJ
fumecheng-4792	241	14			ADJ
fumecheng-4792	241	15			ADJ
fumecheng-4792	241	16			NOUN
fumecheng-4792	241	17			NOUN
fumecheng-4792	241	18			PROPN
fumecheng-4792	241	19			ADP
fumecheng-4792	241	20			PUNCT
fumecheng-4792	241	21			PROPN
fumecheng-4792	241	22			PROPN
fumecheng-4792	241	23			NOUN
fumecheng-4792	241	24			PROPN
fumecheng-4792	241	25			PROPN
fumecheng-4792	241	26			PROPN
fumecheng-4792	241	27	(	(	PUNCT
fumecheng-4792	241	28	12	12	NUM
fumecheng-4792	241	29	)	)	PUNCT
fumecheng-4792	241	30	providing	provide	VERB
fumecheng-4792	241	31	through	through	ADP
fumecheng-4792	241	32	eq	eq	NOUN
fumecheng-4792	241	33	.	.	PUNCT
fumecheng-4792	242	1	(	(	PUNCT
fumecheng-4792	242	2	9	9	X
fumecheng-4792	242	3	)	)	PUNCT
fumecheng-4792	242	4	the	the	DET
fumecheng-4792	242	5	stress	stress	NOUN
fumecheng-4792	242	6	vector	vector	NOUN
fumecheng-4792	242	7	tj	tj	PROPN
fumecheng-4792	242	8	*	*	PUNCT
fumecheng-4792	242	9	of	of	ADP
fumecheng-4792	242	10	the	the	DET
fumecheng-4792	242	11	fundamental	fundamental	ADJ
fumecheng-4792	242	12	solution	solution	NOUN
fumecheng-4792	242	13	on	on	ADP
fumecheng-4792	242	14	the	the	DET
fumecheng-4792	242	15	boundary	boundary	NOUN
fumecheng-4792	242	16	for	for	ADP
fumecheng-4792	242	17	a	a	DET
fumecheng-4792	242	18	certain	certain	ADJ
fumecheng-4792	242	19	0x	0x	NOUN
fumecheng-4792	242	20	.	.	PUNCT
fumecheng-4792	243	1	let	let	VERB
fumecheng-4792	243	2	us	we	PRON
fumecheng-4792	243	3	now	now	ADV
fumecheng-4792	243	4	insert	insert	VERB
fumecheng-4792	243	5	the	the	DET
fumecheng-4792	243	6	fundamental	fundamental	ADJ
fumecheng-4792	243	7	solution	solution	NOUN
fumecheng-4792	243	8	,	,	PUNCT
fumecheng-4792	243	9	that	that	PRON
fumecheng-4792	243	10	is	be	AUX
fumecheng-4792	243	11	eqs	eqs	PROPN
fumecheng-4792	243	12	.	.	PUNCT
fumecheng-4792	244	1	(	(	PUNCT
fumecheng-4792	244	2	11	11	NUM
fumecheng-4792	244	3	)	)	PUNCT
fumecheng-4792	244	4	and	and	CCONJ
fumecheng-4792	244	5	(	(	PUNCT
fumecheng-4792	244	6	12	12	NUM
fumecheng-4792	244	7	)	)	PUNCT
fumecheng-4792	244	8	,	,	PUNCT
fumecheng-4792	244	9	into	into	ADP
fumecheng-4792	244	10	somigliana	somigliana	PROPN
fumecheng-4792	244	11	’s	’s	PART
fumecheng-4792	244	12	identity	identity	NOUN
fumecheng-4792	244	13	,	,	PUNCT
fumecheng-4792	244	14	eq	eq	NOUN
fumecheng-4792	244	15	.	.	PUNCT
fumecheng-4792	245	1	(	(	PUNCT
fumecheng-4792	245	2	8)	8)	NUM
fumecheng-4792	245	3	.	.	PUNCT
fumecheng-4792	246	1	when	when	SCONJ
fumecheng-4792	246	2	we	we	PRON
fumecheng-4792	246	3	write	write	VERB
fumecheng-4792	246	4	out	out	ADP
fumecheng-4792	246	5	the	the	DET
fumecheng-4792	246	6	result	result	NOUN
fumecheng-4792	246	7	in	in	ADP
fumecheng-4792	246	8	detail	detail	NOUN
fumecheng-4792	246	9	and	and	CCONJ
fumecheng-4792	246	10	choose	choose	VERB
fumecheng-4792	246	11	to	to	PART
fumecheng-4792	246	12	denote	denote	VERB
fumecheng-4792	246	13	ui=1	ui=1	PROPN
fumecheng-4792	246	14	=	=	PUNCT
fumecheng-4792	246	15	u	u	PROPN
fumecheng-4792	246	16	and	and	CCONJ
fumecheng-4792	246	17	ui=2	ui=2	PROPN
fumecheng-4792	246	18	=	=	SYM
fumecheng-4792	246	19	v	v	NOUN
fumecheng-4792	246	20	,	,	PUNCT
fumecheng-4792	246	21	we	we	PRON
fumecheng-4792	246	22	obtain	obtain	VERB
fumecheng-4792	246	23	for	for	ADP
fumecheng-4792	246	24	the	the	DET
fumecheng-4792	246	25	first	first	ADJ
fumecheng-4792	246	26	component	component	NOUN
fumecheng-4792	246	27	of	of	ADP
fumecheng-4792	246	28	the	the	DET
fumecheng-4792	246	29	deformations	deformation	NOUN
fumecheng-4792	246	30	at	at	ADP
fumecheng-4792	246	31	a	a	DET
fumecheng-4792	246	32	particular	particular	ADJ
fumecheng-4792	246	33	inner	inner	ADJ
fumecheng-4792	246	34	point	point	NOUN
fumecheng-4792	246	35	0	0	NUM
fumecheng-4792	246	36	0	0	NUM
fumecheng-4792	246	37	0	0	NUM
fumecheng-4792	246	38	(	(	PUNCT
fumecheng-4792	246	39	,	,	PUNCT
fumecheng-4792	246	40	)	)	PUNCT
fumecheng-4792	246	41	x	x	PUNCT
fumecheng-4792	247	1	x	x	PUNCT
fumecheng-4792	247	2	y	y	NOUN
fumecheng-4792	247	3	due	due	ADP
fumecheng-4792	247	4	to	to	ADP
fumecheng-4792	247	5	the	the	DET
fumecheng-4792	247	6	deformations	deformation	NOUN
fumecheng-4792	247	7	and	and	CCONJ
fumecheng-4792	247	8	stresses	stress	NOUN
fumecheng-4792	247	9	at	at	ADP
fumecheng-4792	247	10	the	the	DET
fumecheng-4792	247	11	surface	surface	NOUN
fumecheng-4792	247	12	12	12	NUM
fumecheng-4792	247	13	j.	j.	PROPN
fumecheng-4792	247	14	benad	benad	PROPN
fumecheng-4792	247	15	2	2	NUM
fumecheng-4792	247	16	1	1	NUM
fumecheng-4792	247	17	0	0	NUM
fumecheng-4792	247	18	2	2	NUM
fumecheng-4792	247	19	0	0	NUM
fumecheng-4792	247	20	0	0	NUM
fumecheng-4792	247	21	0	0	NUM
fumecheng-4792	247	22	0	0	NUM
fumecheng-4792	247	23	1	1	NUM
fumecheng-4792	247	24	2	2	NUM
fumecheng-4792	247	25	2	2	NUM
fumecheng-4792	247	26	2	2	NUM
fumecheng-4792	247	27	0	0	NUM
fumecheng-4792	247	28	0	0	NUM
fumecheng-4792	247	29	0	0	NUM
fumecheng-4792	247	30	1	1	NUM
fumecheng-4792	247	31	22	22	NUM
fumecheng-4792	247	32	2	2	NUM
fumecheng-4792	247	33	2	2	NUM
fumecheng-4792	247	34	0	0	NUM
fumecheng-4792	247	35	0	0	NUM
fumecheng-4792	247	36	14	14	NUM
fumecheng-4792	247	37	(	(	PUNCT
fumecheng-4792	247	38	)	)	PUNCT
fumecheng-4792	247	39	(	(	PUNCT
fumecheng-4792	247	40	)	)	PUNCT
fumecheng-4792	247	41	(	(	PUNCT
fumecheng-4792	247	42	)	)	PUNCT
fumecheng-4792	247	43	1	1	NUM
fumecheng-4792	247	44	(	(	PUNCT
fumecheng-4792	247	45	,	,	PUNCT
fumecheng-4792	247	46	)	)	PUNCT
fumecheng-4792	247	47	(	(	PUNCT
fumecheng-4792	247	48	3	3	NUM
fumecheng-4792	247	49	4	4	NUM
fumecheng-4792	247	50	)	)	PUNCT
fumecheng-4792	247	51	ln	ln	ADJ
fumecheng-4792	247	52	(	(	PUNCT
fumecheng-4792	247	53	)	)	PUNCT
fumecheng-4792	247	54	8	8	NUM
fumecheng-4792	247	55	(	(	PUNCT
fumecheng-4792	247	56	1	1	NUM
fumecheng-4792	247	57	)	)	PUNCT
fumecheng-4792	247	58	(	(	PUNCT
fumecheng-4792	247	59	)	)	PUNCT
fumecheng-4792	247	60	(	(	PUNCT
fumecheng-4792	247	61	)	)	PUNCT
fumecheng-4792	247	62	(	(	PUNCT
fumecheng-4792	247	63	)	)	SYM
fumecheng-4792	247	64	1	1	NUM
fumecheng-4792	247	65	1	1	NUM
fumecheng-4792	247	66	2	2	NUM
fumecheng-4792	247	67	2	2	NUM
fumecheng-4792	247	68	4	4	NUM
fumecheng-4792	247	69	(	(	PUNCT
fumecheng-4792	247	70	1	1	NUM
fumecheng-4792	247	71	)	)	PUNCT
fumecheng-4792	247	72	2	2	NUM
fumecheng-4792	247	73	(	(	PUNCT
fumecheng-4792	247	74	)	)	PUNCT
fumecheng-4792	247	75	(	(	PUNCT
fumecheng-4792	247	76	)	)	PUNCT
fumecheng-4792	247	77	+	+	CCONJ
fumecheng-4792	247	78	(	(	PUNCT
fumecheng-4792	247	79	s	s	AUX
fumecheng-4792	247	80	s	s	PROPN
fumecheng-4792	247	81	t	t	NOUN
fumecheng-4792	247	82	x	x	PUNCT
fumecheng-4792	247	83	x	x	X
fumecheng-4792	247	84	t	t	NOUN
fumecheng-4792	247	85	x	x	PUNCT
fumecheng-4792	247	86	x	x	X
fumecheng-4792	247	87	y	y	VERB
fumecheng-4792	247	88	y	y	PROPN
fumecheng-4792	247	89	u	u	NOUN
fumecheng-4792	247	90	x	x	VERB
fumecheng-4792	247	91	y	y	NOUN
fumecheng-4792	247	92	r	r	NOUN
fumecheng-4792	247	93	t	t	NOUN
fumecheng-4792	247	94	ds	ds	NOUN
fumecheng-4792	247	95	r	r	NOUN
fumecheng-4792	247	96	r	r	NOUN
fumecheng-4792	247	97	x	x	PUNCT
fumecheng-4792	247	98	x	x	PUNCT
fumecheng-4792	247	99	u	u	NOUN
fumecheng-4792	247	100	x	x	X
fumecheng-4792	247	101	x	x	PUNCT
fumecheng-4792	247	102	u	u	VERB
fumecheng-4792	247	103	y	y	PROPN
fumecheng-4792	247	104	y	y	PROPN
fumecheng-4792	247	105	n	n	CCONJ
fumecheng-4792	247	106	n	n	CCONJ
fumecheng-4792	247	107	ds	ds	VERB
fumecheng-4792	247	108	r	r	NOUN
fumecheng-4792	247	109	r	r	NOUN
fumecheng-4792	247	110	r	r	NOUN
fumecheng-4792	247	111	x	x	PUNCT
fumecheng-4792	247	112	x	x	SYM
fumecheng-4792	247	113	y	y	PROPN
fumecheng-4792	247	114	y	y	PROPN
fumecheng-4792	247	115	v	v	INTJ
fumecheng-4792	247	116	n	n	NOUN
fumecheng-4792	247	117	r	r	NOUN
fumecheng-4792	247	118			NOUN
fumecheng-4792	247	119			NOUN
fumecheng-4792	247	120			NOUN
fumecheng-4792	247	121			INTJ
fumecheng-4792	247	122			PROPN
fumecheng-4792	247	123			ADJ
fumecheng-4792	247	124			PROPN
fumecheng-4792	247	125			PROPN
fumecheng-4792	247	126			PROPN
fumecheng-4792	247	127			ADJ
fumecheng-4792	247	128			PROPN
fumecheng-4792	247	129			PROPN
fumecheng-4792	247	130			PROPN
fumecheng-4792	247	131			PUNCT
fumecheng-4792	247	132			VERB
fumecheng-4792	247	133			PROPN
fumecheng-4792	247	134			PROPN
fumecheng-4792	247	135			NOUN
fumecheng-4792	247	136			AUX
fumecheng-4792	247	137			NOUN
fumecheng-4792	247	138			PROPN
fumecheng-4792	247	139			NOUN
fumecheng-4792	247	140			VERB
fumecheng-4792	247	141			PROPN
fumecheng-4792	247	142			NOUN
fumecheng-4792	247	143			VERB
fumecheng-4792	247	144			PROPN
fumecheng-4792	247	145			PROPN
fumecheng-4792	247	146			NOUN
fumecheng-4792	248	1			PROPN
fumecheng-4792	248	2			PROPN
fumecheng-4792	248	3			PROPN
fumecheng-4792	248	4			PROPN
fumecheng-4792	248	5			PROPN
fumecheng-4792	248	6			PROPN
fumecheng-4792	248	7			NOUN
fumecheng-4792	248	8			PROPN
fumecheng-4792	248	9			NOUN
fumecheng-4792	248	10			PUNCT
fumecheng-4792	248	11			NOUN
fumecheng-4792	248	12			SYM
fumecheng-4792	248	13			NOUN
fumecheng-4792	249	1			PUNCT
fumecheng-4792	249	2	0	0	NUM
fumecheng-4792	249	3	2	2	NUM
fumecheng-4792	249	4	0	0	NUM
fumecheng-4792	249	5	1	1	NUM
fumecheng-4792	249	6	0	0	NUM
fumecheng-4792	249	7	2	2	NUM
fumecheng-4792	249	8	02	02	NUM
fumecheng-4792	249	9	)	)	PUNCT
fumecheng-4792	249	10	(	(	PUNCT
fumecheng-4792	249	11	)	)	PUNCT
fumecheng-4792	249	12	1	1	NUM
fumecheng-4792	249	13	2	2	NUM
fumecheng-4792	249	14	(	(	PUNCT
fumecheng-4792	249	15	)	)	PUNCT
fumecheng-4792	249	16	(	(	PUNCT
fumecheng-4792	249	17	)	)	PUNCT
fumecheng-4792	249	18	.	.	PUNCT
fumecheng-4792	250	1	s	s	PART
fumecheng-4792	250	2	x	x	PUNCT
fumecheng-4792	250	3	x	x	VERB
fumecheng-4792	250	4	n	n	VERB
fumecheng-4792	250	5	y	y	PROPN
fumecheng-4792	250	6	y	y	PROPN
fumecheng-4792	250	7	v	v	PROPN
fumecheng-4792	250	8	n	n	PROPN
fumecheng-4792	250	9	y	y	PROPN
fumecheng-4792	250	10	y	y	PROPN
fumecheng-4792	251	1	n	n	ADV
fumecheng-4792	251	2	x	x	SYM
fumecheng-4792	251	3	x	x	X
fumecheng-4792	251	4	ds	ds	ADJ
fumecheng-4792	251	5	r	r	NOUN
fumecheng-4792	251	6			ADJ
fumecheng-4792	251	7			PROPN
fumecheng-4792	251	8			VERB
fumecheng-4792	251	9			PROPN
fumecheng-4792	251	10			PROPN
fumecheng-4792	251	11			ADV
fumecheng-4792	251	12			X
fumecheng-4792	251	13			PROPN
fumecheng-4792	251	14			PROPN
fumecheng-4792	251	15			PROPN
fumecheng-4792	251	16			PROPN
fumecheng-4792	251	17			PROPN
fumecheng-4792	251	18			X
fumecheng-4792	251	19	(	(	PUNCT
fumecheng-4792	251	20	13	13	NUM
fumecheng-4792	251	21	)	)	PUNCT
fumecheng-4792	251	22	for	for	ADP
fumecheng-4792	251	23	the	the	DET
fumecheng-4792	251	24	second	second	ADJ
fumecheng-4792	251	25	component	component	NOUN
fumecheng-4792	251	26	,	,	PUNCT
fumecheng-4792	251	27	we	we	PRON
fumecheng-4792	251	28	obtain	obtain	VERB
fumecheng-4792	251	29	2	2	NUM
fumecheng-4792	251	30	2	2	NUM
fumecheng-4792	251	31	0	0	NUM
fumecheng-4792	251	32	1	1	NUM
fumecheng-4792	251	33	0	0	NUM
fumecheng-4792	251	34	0	0	NUM
fumecheng-4792	251	35	0	0	NUM
fumecheng-4792	251	36	0	0	NUM
fumecheng-4792	251	37	2	2	NUM
fumecheng-4792	251	38	2	2	NUM
fumecheng-4792	251	39	2	2	NUM
fumecheng-4792	251	40	2	2	NUM
fumecheng-4792	251	41	0	0	NUM
fumecheng-4792	251	42	0	0	NUM
fumecheng-4792	251	43	0	0	NUM
fumecheng-4792	251	44	1	1	NUM
fumecheng-4792	251	45	22	22	NUM
fumecheng-4792	251	46	2	2	NUM
fumecheng-4792	251	47	2	2	NUM
fumecheng-4792	251	48	0	0	NUM
fumecheng-4792	251	49	0	0	NUM
fumecheng-4792	251	50	14	14	NUM
fumecheng-4792	251	51	(	(	PUNCT
fumecheng-4792	251	52	)	)	PUNCT
fumecheng-4792	251	53	(	(	PUNCT
fumecheng-4792	251	54	)	)	PUNCT
fumecheng-4792	251	55	(	(	PUNCT
fumecheng-4792	251	56	)	)	PUNCT
fumecheng-4792	251	57	1	1	NUM
fumecheng-4792	251	58	(	(	PUNCT
fumecheng-4792	251	59	,	,	PUNCT
fumecheng-4792	251	60	)	)	PUNCT
fumecheng-4792	251	61	(	(	PUNCT
fumecheng-4792	251	62	3	3	NUM
fumecheng-4792	251	63	4	4	NUM
fumecheng-4792	251	64	)	)	PUNCT
fumecheng-4792	251	65	ln	ln	ADJ
fumecheng-4792	251	66	(	(	PUNCT
fumecheng-4792	251	67	)	)	PUNCT
fumecheng-4792	251	68	8	8	NUM
fumecheng-4792	251	69	(	(	PUNCT
fumecheng-4792	251	70	1	1	NUM
fumecheng-4792	251	71	)	)	PUNCT
fumecheng-4792	251	72	(	(	PUNCT
fumecheng-4792	251	73	)	)	PUNCT
fumecheng-4792	251	74	(	(	PUNCT
fumecheng-4792	251	75	)	)	PUNCT
fumecheng-4792	252	1	(	(	PUNCT
fumecheng-4792	252	2	)	)	SYM
fumecheng-4792	252	3	1	1	NUM
fumecheng-4792	252	4	1	1	NUM
fumecheng-4792	252	5	2	2	NUM
fumecheng-4792	252	6	2	2	NUM
fumecheng-4792	252	7	4	4	NUM
fumecheng-4792	252	8	(	(	PUNCT
fumecheng-4792	252	9	1	1	NUM
fumecheng-4792	252	10	)	)	PUNCT
fumecheng-4792	252	11	2	2	NUM
fumecheng-4792	252	12	(	(	PUNCT
fumecheng-4792	252	13	)	)	PUNCT
fumecheng-4792	252	14	(	(	PUNCT
fumecheng-4792	252	15	)	)	PUNCT
fumecheng-4792	252	16	(	(	PUNCT
fumecheng-4792	252	17	s	s	X
fumecheng-4792	252	18	s	s	PROPN
fumecheng-4792	252	19	t	t	X
fumecheng-4792	252	20	y	y	PROPN
fumecheng-4792	252	21	y	y	PROPN
fumecheng-4792	252	22	t	t	PROPN
fumecheng-4792	252	23	x	x	PUNCT
fumecheng-4792	252	24	x	x	PUNCT
fumecheng-4792	252	25	y	y	PROPN
fumecheng-4792	252	26	y	y	PROPN
fumecheng-4792	252	27	v	v	NOUN
fumecheng-4792	252	28	x	x	SYM
fumecheng-4792	252	29	y	y	NOUN
fumecheng-4792	252	30	r	r	NOUN
fumecheng-4792	252	31	t	t	NOUN
fumecheng-4792	252	32	ds	ds	NOUN
fumecheng-4792	252	33	r	r	NOUN
fumecheng-4792	252	34	r	r	NOUN
fumecheng-4792	252	35	y	y	PROPN
fumecheng-4792	252	36	y	y	PROPN
fumecheng-4792	252	37	v	v	NOUN
fumecheng-4792	252	38	x	x	SYM
fumecheng-4792	252	39	x	x	X
fumecheng-4792	252	40	v	v	ADP
fumecheng-4792	252	41	y	y	PROPN
fumecheng-4792	252	42	y	y	PROPN
fumecheng-4792	252	43	n	n	CCONJ
fumecheng-4792	252	44	n	n	CCONJ
fumecheng-4792	252	45	ds	ds	VERB
fumecheng-4792	252	46	r	r	NOUN
fumecheng-4792	252	47	r	r	NOUN
fumecheng-4792	252	48	r	r	NOUN
fumecheng-4792	252	49	x	x	PUNCT
fumecheng-4792	252	50	x	x	SYM
fumecheng-4792	252	51	y	y	VERB
fumecheng-4792	252	52	y	y	PROPN
fumecheng-4792	252	53	u	u	PROPN
fumecheng-4792	252	54	n	n	ADV
fumecheng-4792	252	55	x	x	NOUN
fumecheng-4792	252	56	r	r	NOUN
fumecheng-4792	252	57			NOUN
fumecheng-4792	252	58			NOUN
fumecheng-4792	252	59			NOUN
fumecheng-4792	252	60			INTJ
fumecheng-4792	253	1			PROPN
fumecheng-4792	253	2			ADJ
fumecheng-4792	253	3			PROPN
fumecheng-4792	253	4			PROPN
fumecheng-4792	253	5			PROPN
fumecheng-4792	253	6			ADJ
fumecheng-4792	253	7			PROPN
fumecheng-4792	253	8			PROPN
fumecheng-4792	253	9			PROPN
fumecheng-4792	253	10			PUNCT
fumecheng-4792	253	11			VERB
fumecheng-4792	253	12			PROPN
fumecheng-4792	253	13			PROPN
fumecheng-4792	253	14			NOUN
fumecheng-4792	253	15			VERB
fumecheng-4792	253	16			NOUN
fumecheng-4792	253	17			PROPN
fumecheng-4792	253	18			NOUN
fumecheng-4792	253	19			VERB
fumecheng-4792	253	20			PROPN
fumecheng-4792	253	21			NOUN
fumecheng-4792	253	22			VERB
fumecheng-4792	253	23			PROPN
fumecheng-4792	253	24			PROPN
fumecheng-4792	253	25			NOUN
fumecheng-4792	254	1			PROPN
fumecheng-4792	254	2			PROPN
fumecheng-4792	254	3			PROPN
fumecheng-4792	254	4			PROPN
fumecheng-4792	254	5			PROPN
fumecheng-4792	254	6			PROPN
fumecheng-4792	254	7			PROPN
fumecheng-4792	254	8			PROPN
fumecheng-4792	254	9			VERB
fumecheng-4792	254	10			ADV
fumecheng-4792	254	11			PUNCT
fumecheng-4792	254	12			NOUN
fumecheng-4792	254	13			SYM
fumecheng-4792	254	14			NOUN
fumecheng-4792	254	15			PUNCT
fumecheng-4792	254	16	0	0	NUM
fumecheng-4792	254	17	2	2	NUM
fumecheng-4792	254	18	0	0	NUM
fumecheng-4792	254	19	2	2	NUM
fumecheng-4792	254	20	0	0	NUM
fumecheng-4792	254	21	1	1	NUM
fumecheng-4792	254	22	02	02	NUM
fumecheng-4792	254	23	)	)	PUNCT
fumecheng-4792	254	24	(	(	PUNCT
fumecheng-4792	254	25	)	)	PUNCT
fumecheng-4792	254	26	1	1	NUM
fumecheng-4792	254	27	2	2	NUM
fumecheng-4792	254	28	+	+	CCONJ
fumecheng-4792	254	29	(	(	PUNCT
fumecheng-4792	254	30	)	)	PUNCT
fumecheng-4792	254	31	(	(	PUNCT
fumecheng-4792	254	32	)	)	PUNCT
fumecheng-4792	254	33	.	.	PUNCT
fumecheng-4792	255	1	s	s	X
fumecheng-4792	255	2	x	x	SYM
fumecheng-4792	255	3	n	n	VERB
fumecheng-4792	255	4	y	y	PROPN
fumecheng-4792	255	5	y	y	PROPN
fumecheng-4792	255	6	u	u	PROPN
fumecheng-4792	255	7	n	n	PROPN
fumecheng-4792	255	8	x	x	NOUN
fumecheng-4792	255	9	x	x	VERB
fumecheng-4792	255	10	n	n	PROPN
fumecheng-4792	255	11	y	y	NOUN
fumecheng-4792	255	12	y	y	INTJ
fumecheng-4792	255	13	ds	ds	PROPN
fumecheng-4792	255	14	r	r	NOUN
fumecheng-4792	255	15			ADJ
fumecheng-4792	255	16			PROPN
fumecheng-4792	255	17			VERB
fumecheng-4792	255	18			PROPN
fumecheng-4792	255	19			PROPN
fumecheng-4792	255	20			NOUN
fumecheng-4792	255	21			PROPN
fumecheng-4792	255	22			PROPN
fumecheng-4792	255	23			NOUN
fumecheng-4792	255	24			PROPN
fumecheng-4792	255	25			PROPN
fumecheng-4792	255	26			PUNCT
fumecheng-4792	255	27	(	(	PUNCT
fumecheng-4792	255	28	14	14	NUM
fumecheng-4792	255	29	)	)	PUNCT
fumecheng-4792	255	30	exemplary	exemplary	ADJ
fumecheng-4792	255	31	results	result	NOUN
fumecheng-4792	255	32	we	we	PRON
fumecheng-4792	255	33	now	now	ADV
fumecheng-4792	255	34	seek	seek	VERB
fumecheng-4792	255	35	to	to	PART
fumecheng-4792	255	36	perform	perform	VERB
fumecheng-4792	255	37	an	an	DET
fumecheng-4792	255	38	exemplary	exemplary	ADJ
fumecheng-4792	255	39	calculation	calculation	NOUN
fumecheng-4792	255	40	of	of	ADP
fumecheng-4792	255	41	the	the	DET
fumecheng-4792	255	42	boundary	boundary	ADJ
fumecheng-4792	255	43	integrals	integral	NOUN
fumecheng-4792	255	44	(	(	PUNCT
fumecheng-4792	255	45	13	13	NUM
fumecheng-4792	255	46	)	)	PUNCT
fumecheng-4792	255	47	and	and	CCONJ
fumecheng-4792	255	48	(	(	PUNCT
fumecheng-4792	255	49	14	14	NUM
fumecheng-4792	255	50	)	)	PUNCT
fumecheng-4792	255	51	for	for	ADP
fumecheng-4792	255	52	an	an	DET
fumecheng-4792	255	53	arbitrary	arbitrary	ADJ
fumecheng-4792	255	54	shape	shape	NOUN
fumecheng-4792	255	55	with	with	ADP
fumecheng-4792	255	56	the	the	DET
fumecheng-4792	255	57	fft	fft	NOUN
fumecheng-4792	255	58	making	make	VERB
fumecheng-4792	255	59	use	use	NOUN
fumecheng-4792	255	60	of	of	ADP
fumecheng-4792	255	61	the	the	DET
fumecheng-4792	255	62	use	use	NOUN
fumecheng-4792	255	63	of	of	ADP
fumecheng-4792	255	64	technique	technique	NOUN
fumecheng-4792	255	65	[	[	X
fumecheng-4792	255	66	12	12	NUM
fumecheng-4792	255	67	]	]	PUNCT
fumecheng-4792	255	68	.	.	PUNCT
fumecheng-4792	256	1	in	in	ADP
fumecheng-4792	256	2	order	order	NOUN
fumecheng-4792	256	3	to	to	PART
fumecheng-4792	256	4	test	test	VERB
fumecheng-4792	256	5	the	the	DET
fumecheng-4792	256	6	method	method	NOUN
fumecheng-4792	256	7	,	,	PUNCT
fumecheng-4792	256	8	we	we	PRON
fumecheng-4792	256	9	use	use	VERB
fumecheng-4792	256	10	a	a	DET
fumecheng-4792	256	11	simple	simple	ADJ
fumecheng-4792	256	12	analytical	analytical	ADJ
fumecheng-4792	256	13	solution	solution	NOUN
fumecheng-4792	256	14	for	for	ADP
fumecheng-4792	256	15	the	the	DET
fumecheng-4792	256	16	navier	navier	NOUN
fumecheng-4792	256	17	equation	equation	NOUN
fumecheng-4792	256	18	0	0	NUM
fumecheng-4792	256	19	1	1	NUM
fumecheng-4792	256	20	0	0	NUM
fumecheng-4792	256	21	2	2	NUM
fumecheng-4792	256	22	1	1	NUM
fumecheng-4792	256	23	,	,	PUNCT
fumecheng-4792	256	24	2	2	NUM
fumecheng-4792	256	25	2	2	NUM
fumecheng-4792	256	26	u	u	NOUN
fumecheng-4792	256	27	x	x	PROPN
fumecheng-4792	256	28	c	c	NOUN
fumecheng-4792	256	29	v	v	INTJ
fumecheng-4792	256	30	y	y	PROPN
fumecheng-4792	256	31	c	c	PROPN
fumecheng-4792	256	32			PROPN
fumecheng-4792	256	33			PROPN
fumecheng-4792	256	34			PROPN
fumecheng-4792	256	35			NOUN
fumecheng-4792	256	36			NOUN
fumecheng-4792	256	37			NOUN
fumecheng-4792	256	38			NOUN
fumecheng-4792	256	39			PRON
fumecheng-4792	256	40			PUNCT
fumecheng-4792	256	41			PROPN
fumecheng-4792	256	42			PROPN
fumecheng-4792	256	43			X
fumecheng-4792	256	44	(	(	PUNCT
fumecheng-4792	256	45	15	15	NUM
fumecheng-4792	256	46	)	)	PUNCT
fumecheng-4792	256	47	with	with	ADP
fumecheng-4792	256	48	the	the	DET
fumecheng-4792	256	49	stress	stress	NOUN
fumecheng-4792	256	50	distribution	distribution	NOUN
fumecheng-4792	256	51	0	0	NUM
fumecheng-4792	256	52	,	,	PUNCT
fumecheng-4792	256	53	0	0	NUM
fumecheng-4792	256	54	,	,	PUNCT
fumecheng-4792	256	55	0.x	0.x	NUM
fumecheng-4792	257	1	y	y	PROPN
fumecheng-4792	257	2	xy	xy	PROPN
fumecheng-4792	257	3			PROPN
fumecheng-4792	257	4			PROPN
fumecheng-4792	257	5			NOUN
fumecheng-4792	257	6			NOUN
fumecheng-4792	257	7			NOUN
fumecheng-4792	257	8	(	(	PUNCT
fumecheng-4792	257	9	16	16	NUM
fumecheng-4792	257	10	)	)	PUNCT
fumecheng-4792	257	11	the	the	DET
fumecheng-4792	257	12	chosen	choose	VERB
fumecheng-4792	257	13	geometry	geometry	NOUN
fumecheng-4792	257	14	of	of	ADP
fumecheng-4792	257	15	the	the	DET
fumecheng-4792	257	16	shape	shape	NOUN
fumecheng-4792	257	17	and	and	CCONJ
fumecheng-4792	257	18	eqs	eqs	PROPN
fumecheng-4792	257	19	.	.	PUNCT
fumecheng-4792	258	1	(	(	PUNCT
fumecheng-4792	258	2	15	15	NUM
fumecheng-4792	258	3	)	)	PUNCT
fumecheng-4792	258	4	and	and	CCONJ
fumecheng-4792	258	5	(	(	PUNCT
fumecheng-4792	258	6	16	16	NUM
fumecheng-4792	258	7	)	)	PUNCT
fumecheng-4792	258	8	then	then	ADV
fumecheng-4792	258	9	set	set	VERB
fumecheng-4792	258	10	the	the	DET
fumecheng-4792	258	11	analytical	analytical	ADJ
fumecheng-4792	258	12	solutions	solution	NOUN
fumecheng-4792	258	13	for	for	ADP
fumecheng-4792	258	14	the	the	DET
fumecheng-4792	258	15	boundary	boundary	ADJ
fumecheng-4792	258	16	values	value	NOUN
fumecheng-4792	258	17	for	for	ADP
fumecheng-4792	258	18	the	the	DET
fumecheng-4792	258	19	deformations	deformation	NOUN
fumecheng-4792	258	20	and	and	CCONJ
fumecheng-4792	258	21	the	the	DET
fumecheng-4792	258	22	stress	stress	NOUN
fumecheng-4792	258	23	vector	vector	NOUN
fumecheng-4792	258	24	.	.	PUNCT
fumecheng-4792	259	1	both	both	CCONJ
fumecheng-4792	259	2	the	the	DET
fumecheng-4792	259	3	chosen	choose	VERB
fumecheng-4792	259	4	shape	shape	NOUN
fumecheng-4792	259	5	and	and	CCONJ
fumecheng-4792	259	6	the	the	DET
fumecheng-4792	259	7	stress	stress	NOUN
fumecheng-4792	259	8	vector	vector	NOUN
fumecheng-4792	259	9	on	on	ADP
fumecheng-4792	259	10	its	its	PRON
fumecheng-4792	259	11	boundary	boundary	NOUN
fumecheng-4792	259	12	are	be	AUX
fumecheng-4792	259	13	displayed	display	VERB
fumecheng-4792	259	14	in	in	ADP
fumecheng-4792	259	15	fig	fig	NOUN
fumecheng-4792	259	16	.	.	PUNCT
fumecheng-4792	260	1	12a	12a	NOUN
fumecheng-4792	260	2	.	.	PUNCT
fumecheng-4792	261	1	the	the	DET
fumecheng-4792	261	2	raw	raw	ADJ
fumecheng-4792	261	3	fft	fft	NOUN
fumecheng-4792	261	4	results	result	NOUN
fumecheng-4792	261	5	for	for	ADP
fumecheng-4792	261	6	the	the	DET
fumecheng-4792	261	7	deformations	deformation	NOUN
fumecheng-4792	261	8	u	u	NOUN
fumecheng-4792	261	9	and	and	CCONJ
fumecheng-4792	261	10	v	v	NOUN
fumecheng-4792	261	11	,	,	PUNCT
fumecheng-4792	261	12	as	as	SCONJ
fumecheng-4792	261	13	obtained	obtain	VERB
fumecheng-4792	261	14	for	for	ADP
fumecheng-4792	261	15	the	the	DET
fumecheng-4792	261	16	chosen	choose	VERB
fumecheng-4792	261	17	numerical	numerical	ADJ
fumecheng-4792	261	18	values	value	NOUN
fumecheng-4792	261	19	of	of	ADP
fumecheng-4792	261	20	μ=1	μ=1	NOUN
fumecheng-4792	261	21	,	,	PUNCT
fumecheng-4792	261	22	0.3	0.3	PROPN
fumecheng-4792	262	1			NUM
fumecheng-4792	262	2	and	and	CCONJ
fumecheng-4792	262	3	σ0=2	σ0=2	PROPN
fumecheng-4792	262	4	,	,	PUNCT
fumecheng-4792	262	5	are	be	AUX
fumecheng-4792	262	6	displayed	display	VERB
fumecheng-4792	262	7	with	with	ADP
fumecheng-4792	262	8	colored	colored	ADJ
fumecheng-4792	262	9	surfaces	surface	NOUN
fumecheng-4792	262	10	in	in	ADP
fumecheng-4792	262	11	fig	fig	NOUN
fumecheng-4792	262	12	.	.	PUNCT
fumecheng-4792	263	1	12b	12b	NOUN
fumecheng-4792	263	2	.	.	PUNCT
fumecheng-4792	264	1	the	the	DET
fumecheng-4792	264	2	corresponding	corresponding	ADJ
fumecheng-4792	264	3	analytical	analytical	ADJ
fumecheng-4792	264	4	solution	solution	NOUN
fumecheng-4792	264	5	for	for	ADP
fumecheng-4792	264	6	the	the	DET
fumecheng-4792	264	7	deformation	deformation	NOUN
fumecheng-4792	264	8	on	on	ADP
fumecheng-4792	264	9	the	the	DET
fumecheng-4792	264	10	boundary	boundary	NOUN
fumecheng-4792	264	11	is	be	AUX
fumecheng-4792	264	12	displayed	display	VERB
fumecheng-4792	264	13	with	with	ADP
fumecheng-4792	264	14	the	the	DET
fumecheng-4792	264	15	red	red	ADJ
fumecheng-4792	264	16	line	line	NOUN
fumecheng-4792	264	17	in	in	ADP
fumecheng-4792	264	18	fig	fig	NOUN
fumecheng-4792	264	19	.	.	PUNCT
fumecheng-4792	264	20	12b	12b	NOUN
fumecheng-4792	264	21	.	.	PUNCT
fumecheng-4792	265	1	the	the	DET
fumecheng-4792	265	2	numerical	numerical	ADJ
fumecheng-4792	265	3	results	result	NOUN
fumecheng-4792	265	4	clearly	clearly	ADV
fumecheng-4792	265	5	show	show	VERB
fumecheng-4792	265	6	the	the	DET
fumecheng-4792	265	7	linear	linear	ADJ
fumecheng-4792	265	8	dependence	dependence	NOUN
fumecheng-4792	265	9	we	we	PRON
fumecheng-4792	265	10	expect	expect	VERB
fumecheng-4792	265	11	(	(	PUNCT
fumecheng-4792	265	12	see	see	VERB
fumecheng-4792	265	13	eq	eq	NOUN
fumecheng-4792	265	14	.	.	PUNCT
fumecheng-4792	266	1	(	(	PUNCT
fumecheng-4792	266	2	15	15	NUM
fumecheng-4792	266	3	)	)	PUNCT
fumecheng-4792	266	4	)	)	PUNCT
fumecheng-4792	266	5	.	.	PUNCT
fumecheng-4792	267	1	very	very	ADV
fumecheng-4792	267	2	close	close	ADV
fumecheng-4792	267	3	to	to	ADP
fumecheng-4792	267	4	the	the	DET
fumecheng-4792	267	5	boundary	boundary	NOUN
fumecheng-4792	267	6	there	there	PRON
fumecheng-4792	267	7	are	be	VERB
fumecheng-4792	267	8	slight	slight	ADJ
fumecheng-4792	267	9	oscillations	oscillation	NOUN
fumecheng-4792	267	10	in	in	ADP
fumecheng-4792	267	11	the	the	DET
fumecheng-4792	267	12	raw	raw	ADJ
fumecheng-4792	267	13	results	result	NOUN
fumecheng-4792	267	14	.	.	PUNCT
fumecheng-4792	268	1	such	such	ADJ
fumecheng-4792	268	2	small	small	ADJ
fumecheng-4792	268	3	distortions	distortion	NOUN
fumecheng-4792	268	4	were	be	AUX
fumecheng-4792	268	5	observed	observe	VERB
fumecheng-4792	268	6	on	on	ADP
fumecheng-4792	268	7	other	other	ADJ
fumecheng-4792	268	8	problems	problem	NOUN
fumecheng-4792	268	9	in	in	ADP
fumecheng-4792	268	10	previous	previous	ADJ
fumecheng-4792	268	11	studies	study	NOUN
fumecheng-4792	268	12	and	and	CCONJ
fumecheng-4792	268	13	can	can	AUX
fumecheng-4792	268	14	generally	generally	ADV
fumecheng-4792	268	15	be	be	AUX
fumecheng-4792	268	16	eliminated	eliminate	VERB
fumecheng-4792	268	17	easily	easily	ADV
fumecheng-4792	268	18	without	without	ADP
fumecheng-4792	268	19	an	an	DET
fumecheng-4792	268	20	increase	increase	NOUN
fumecheng-4792	268	21	in	in	ADP
fumecheng-4792	268	22	computational	computational	ADJ
fumecheng-4792	268	23	complexity	complexity	NOUN
fumecheng-4792	268	24	(	(	PUNCT
fumecheng-4792	268	25	see	see	VERB
fumecheng-4792	268	26	[	[	X
fumecheng-4792	268	27	12	12	NUM
fumecheng-4792	268	28	]	]	PUNCT
fumecheng-4792	268	29	)	)	PUNCT
fumecheng-4792	268	30	.	.	PUNCT
fumecheng-4792	269	1	we	we	PRON
fumecheng-4792	269	2	can	can	AUX
fumecheng-4792	269	3	conclude	conclude	VERB
fumecheng-4792	269	4	from	from	ADP
fumecheng-4792	269	5	the	the	DET
fumecheng-4792	269	6	small	small	ADJ
fumecheng-4792	269	7	example	example	NOUN
fumecheng-4792	269	8	that	that	SCONJ
fumecheng-4792	269	9	the	the	DET
fumecheng-4792	269	10	fft	fft	PROPN
fumecheng-4792	269	11	approach	approach	NOUN
fumecheng-4792	269	12	commonly	commonly	ADV
fumecheng-4792	269	13	used	use	VERB
fumecheng-4792	269	14	in	in	ADP
fumecheng-4792	269	15	contact	contact	NOUN
fumecheng-4792	269	16	mechanics	mechanic	NOUN
fumecheng-4792	269	17	to	to	PART
fumecheng-4792	269	18	solve	solve	VERB
fumecheng-4792	269	19	a	a	DET
fumecheng-4792	269	20	bem	bem	PROPN
fumecheng-4792	269	21	numerical	numerical	ADJ
fumecheng-4792	269	22	methods	method	NOUN
fumecheng-4792	269	23	for	for	ADP
fumecheng-4792	269	24	simulation	simulation	NOUN
fumecheng-4792	269	25	of	of	ADP
fumecheng-4792	269	26	deformations	deformation	NOUN
fumecheng-4792	269	27	and	and	CCONJ
fumecheng-4792	269	28	stresses	stress	NOUN
fumecheng-4792	269	29	in	in	ADP
fumecheng-4792	269	30	turbine	turbine	NOUN
fumecheng-4792	269	31	blade	blade	NOUN
fumecheng-4792	269	32	fir	fir	NOUN
fumecheng-4792	269	33	-	-	PUNCT
fumecheng-4792	269	34	tree	tree	NOUN
fumecheng-4792	269	35	connections	connection	NOUN
fumecheng-4792	269	36	13	13	NUM
fumecheng-4792	269	37	problem	problem	NOUN
fumecheng-4792	269	38	for	for	ADP
fumecheng-4792	269	39	a	a	DET
fumecheng-4792	269	40	half	half	ADJ
fumecheng-4792	269	41	-	-	PUNCT
fumecheng-4792	269	42	space	space	NOUN
fumecheng-4792	269	43	may	may	AUX
fumecheng-4792	269	44	be	be	AUX
fumecheng-4792	269	45	adopted	adopt	VERB
fumecheng-4792	269	46	in	in	ADP
fumecheng-4792	269	47	a	a	DET
fumecheng-4792	269	48	similar	similar	ADJ
fumecheng-4792	269	49	way	way	NOUN
fumecheng-4792	269	50	to	to	PART
fumecheng-4792	269	51	solve	solve	VERB
fumecheng-4792	269	52	problems	problem	NOUN
fumecheng-4792	269	53	on	on	ADP
fumecheng-4792	269	54	completely	completely	ADV
fumecheng-4792	269	55	arbitrary	arbitrary	ADJ
fumecheng-4792	269	56	shapes	shape	NOUN
fumecheng-4792	269	57	.	.	PUNCT
fumecheng-4792	270	1	however	however	ADV
fumecheng-4792	270	2	,	,	PUNCT
fumecheng-4792	270	3	we	we	PRON
fumecheng-4792	270	4	have	have	AUX
fumecheng-4792	270	5	presented	present	VERB
fumecheng-4792	270	6	only	only	ADV
fumecheng-4792	270	7	a	a	DET
fumecheng-4792	270	8	first	first	ADJ
fumecheng-4792	270	9	rough	rough	ADJ
fumecheng-4792	270	10	example	example	NOUN
fumecheng-4792	270	11	and	and	CCONJ
fumecheng-4792	270	12	extensive	extensive	ADJ
fumecheng-4792	270	13	research	research	NOUN
fumecheng-4792	270	14	is	be	AUX
fumecheng-4792	270	15	required	require	VERB
fumecheng-4792	270	16	to	to	PART
fumecheng-4792	270	17	develop	develop	VERB
fumecheng-4792	270	18	the	the	DET
fumecheng-4792	270	19	method	method	NOUN
fumecheng-4792	270	20	further	far	ADV
fumecheng-4792	270	21	.	.	PUNCT
fumecheng-4792	271	1	a	a	DET
fumecheng-4792	271	2	)	)	PUNCT
fumecheng-4792	271	3	b	b	NOUN
fumecheng-4792	271	4	)	)	PUNCT
fumecheng-4792	271	5	fig	fig	NOUN
fumecheng-4792	271	6	.	.	PUNCT
fumecheng-4792	272	1	12	12	NUM
fumecheng-4792	272	2	a	a	X
fumecheng-4792	272	3	)	)	PUNCT
fumecheng-4792	272	4	an	an	DET
fumecheng-4792	272	5	arbitrary	arbitrary	ADJ
fumecheng-4792	272	6	two	two	NUM
fumecheng-4792	272	7	-	-	PUNCT
fumecheng-4792	272	8	dimensional	dimensional	ADJ
fumecheng-4792	272	9	shape	shape	NOUN
fumecheng-4792	272	10	discretized	discretize	VERB
fumecheng-4792	272	11	with	with	ADP
fumecheng-4792	272	12	boundary	boundary	ADJ
fumecheng-4792	272	13	elements	element	NOUN
fumecheng-4792	272	14	and	and	CCONJ
fumecheng-4792	272	15	fully	fully	ADV
fumecheng-4792	272	16	enclosed	enclose	VERB
fumecheng-4792	272	17	with	with	ADP
fumecheng-4792	272	18	a	a	DET
fumecheng-4792	272	19	two	two	NUM
fumecheng-4792	272	20	-	-	PUNCT
fumecheng-4792	272	21	dimensional	dimensional	ADJ
fumecheng-4792	272	22	grid	grid	NOUN
fumecheng-4792	272	23	for	for	ADP
fumecheng-4792	272	24	the	the	DET
fumecheng-4792	272	25	application	application	NOUN
fumecheng-4792	272	26	of	of	ADP
fumecheng-4792	272	27	the	the	DET
fumecheng-4792	272	28	fft	fft	PROPN
fumecheng-4792	272	29	.	.	PUNCT
fumecheng-4792	273	1	the	the	DET
fumecheng-4792	273	2	chosen	choose	VERB
fumecheng-4792	273	3	stress	stress	NOUN
fumecheng-4792	273	4	vector	vector	NOUN
fumecheng-4792	273	5	for	for	ADP
fumecheng-4792	273	6	the	the	DET
fumecheng-4792	273	7	test	test	NOUN
fumecheng-4792	273	8	calculation	calculation	NOUN
fumecheng-4792	273	9	is	be	AUX
fumecheng-4792	273	10	displayed	display	VERB
fumecheng-4792	273	11	with	with	ADP
fumecheng-4792	273	12	red	red	ADJ
fumecheng-4792	273	13	arrows	arrow	NOUN
fumecheng-4792	273	14	.	.	PUNCT
fumecheng-4792	274	1	the	the	DET
fumecheng-4792	274	2	resolution	resolution	NOUN
fumecheng-4792	274	3	of	of	ADP
fumecheng-4792	274	4	both	both	CCONJ
fumecheng-4792	274	5	the	the	DET
fumecheng-4792	274	6	boundary	boundary	NOUN
fumecheng-4792	274	7	and	and	CCONJ
fumecheng-4792	274	8	the	the	DET
fumecheng-4792	274	9	fft	fft	NOUN
fumecheng-4792	274	10	gird	gird	NOUN
fumecheng-4792	274	11	is	be	AUX
fumecheng-4792	274	12	lower	low	ADJ
fumecheng-4792	274	13	than	than	ADP
fumecheng-4792	274	14	in	in	ADP
fumecheng-4792	274	15	the	the	DET
fumecheng-4792	274	16	adjacent	adjacent	ADJ
fumecheng-4792	274	17	images	image	NOUN
fumecheng-4792	274	18	merely	merely	ADV
fumecheng-4792	274	19	for	for	ADP
fumecheng-4792	274	20	purposes	purpose	NOUN
fumecheng-4792	274	21	of	of	ADP
fumecheng-4792	274	22	a	a	DET
fumecheng-4792	274	23	better	well	ADJ
fumecheng-4792	274	24	visualization	visualization	NOUN
fumecheng-4792	274	25	.	.	PUNCT
fumecheng-4792	275	1	b	b	X
fumecheng-4792	275	2	)	)	PUNCT
fumecheng-4792	275	3	raw	raw	ADJ
fumecheng-4792	275	4	results	result	NOUN
fumecheng-4792	275	5	of	of	ADP
fumecheng-4792	275	6	the	the	DET
fumecheng-4792	275	7	convolution	convolution	NOUN
fumecheng-4792	275	8	for	for	ADP
fumecheng-4792	275	9	the	the	DET
fumecheng-4792	275	10	deformations	deformation	NOUN
fumecheng-4792	275	11	u	u	NOUN
fumecheng-4792	275	12	and	and	CCONJ
fumecheng-4792	275	13	v	v	NOUN
fumecheng-4792	275	14	on	on	ADP
fumecheng-4792	275	15	the	the	DET
fumecheng-4792	275	16	boundary	boundary	NOUN
fumecheng-4792	275	17	of	of	ADP
fumecheng-4792	275	18	the	the	DET
fumecheng-4792	275	19	chosen	choose	VERB
fumecheng-4792	275	20	shape	shape	NOUN
fumecheng-4792	275	21	as	as	SCONJ
fumecheng-4792	275	22	obtained	obtain	VERB
fumecheng-4792	275	23	for	for	ADP
fumecheng-4792	275	24	numerical	numerical	ADJ
fumecheng-4792	275	25	values	value	NOUN
fumecheng-4792	275	26	of	of	ADP
fumecheng-4792	275	27	μ=1	μ=1	NOUN
fumecheng-4792	275	28	,	,	PUNCT
fumecheng-4792	275	29	=0.3	=0.3	NOUN
fumecheng-4792	275	30	and	and	CCONJ
fumecheng-4792	275	31	σ0=2	σ0=2	PROPN
fumecheng-4792	275	32	.	.	PUNCT
fumecheng-4792	276	1	the	the	DET
fumecheng-4792	276	2	corresponding	corresponding	ADJ
fumecheng-4792	276	3	analytical	analytical	ADJ
fumecheng-4792	276	4	solution	solution	NOUN
fumecheng-4792	276	5	for	for	ADP
fumecheng-4792	276	6	the	the	DET
fumecheng-4792	276	7	deformation	deformation	NOUN
fumecheng-4792	276	8	on	on	ADP
fumecheng-4792	276	9	the	the	DET
fumecheng-4792	276	10	boundary	boundary	NOUN
fumecheng-4792	276	11	is	be	AUX
fumecheng-4792	276	12	displayed	display	VERB
fumecheng-4792	276	13	with	with	ADP
fumecheng-4792	276	14	a	a	DET
fumecheng-4792	276	15	red	red	ADJ
fumecheng-4792	276	16	line	line	NOUN
fumecheng-4792	276	17	5	5	NUM
fumecheng-4792	276	18	.	.	PUNCT
fumecheng-4792	276	19	conclusion	conclusion	NOUN
fumecheng-4792	276	20	in	in	ADP
fumecheng-4792	276	21	this	this	DET
fumecheng-4792	276	22	paper	paper	NOUN
fumecheng-4792	276	23	,	,	PUNCT
fumecheng-4792	276	24	different	different	ADJ
fumecheng-4792	276	25	numerical	numerical	ADJ
fumecheng-4792	276	26	methods	method	NOUN
fumecheng-4792	276	27	for	for	ADP
fumecheng-4792	276	28	simulating	simulate	VERB
fumecheng-4792	276	29	deformations	deformation	NOUN
fumecheng-4792	276	30	and	and	CCONJ
fumecheng-4792	276	31	stresses	stress	NOUN
fumecheng-4792	276	32	in	in	ADP
fumecheng-4792	276	33	the	the	DET
fumecheng-4792	276	34	turbine	turbine	NOUN
fumecheng-4792	276	35	blade	blade	NOUN
fumecheng-4792	276	36	fir	fir	NOUN
fumecheng-4792	276	37	-	-	PUNCT
fumecheng-4792	276	38	tree	tree	NOUN
fumecheng-4792	276	39	connections	connection	NOUN
fumecheng-4792	276	40	were	be	AUX
fumecheng-4792	276	41	discussed	discuss	VERB
fumecheng-4792	276	42	and	and	CCONJ
fumecheng-4792	276	43	in	in	ADP
fumecheng-4792	276	44	part	part	NOUN
fumecheng-4792	276	45	extended	extend	VERB
fumecheng-4792	276	46	for	for	ADP
fumecheng-4792	276	47	the	the	DET
fumecheng-4792	276	48	application	application	NOUN
fumecheng-4792	276	49	on	on	ADP
fumecheng-4792	276	50	the	the	DET
fumecheng-4792	276	51	complex	complex	ADJ
fumecheng-4792	276	52	geometry	geometry	NOUN
fumecheng-4792	276	53	of	of	ADP
fumecheng-4792	276	54	the	the	DET
fumecheng-4792	276	55	fir	fir	NOUN
fumecheng-4792	276	56	-	-	PUNCT
fumecheng-4792	276	57	tree	tree	NOUN
fumecheng-4792	276	58	.	.	PUNCT
fumecheng-4792	277	1	it	it	PRON
fumecheng-4792	277	2	was	be	AUX
fumecheng-4792	277	3	highlighted	highlight	VERB
fumecheng-4792	277	4	that	that	SCONJ
fumecheng-4792	277	5	both	both	CCONJ
fumecheng-4792	277	6	the	the	DET
fumecheng-4792	277	7	method	method	NOUN
fumecheng-4792	277	8	of	of	ADP
fumecheng-4792	277	9	dimensionality	dimensionality	NOUN
fumecheng-4792	277	10	reduction	reduction	NOUN
fumecheng-4792	277	11	(	(	PUNCT
fumecheng-4792	277	12	mdr	mdr	NOUN
fumecheng-4792	277	13	)	)	PUNCT
fumecheng-4792	277	14	and	and	CCONJ
fumecheng-4792	277	15	the	the	DET
fumecheng-4792	277	16	boundary	boundary	ADJ
fumecheng-4792	277	17	element	element	NOUN
fumecheng-4792	277	18	method	method	NOUN
fumecheng-4792	277	19	(	(	PUNCT
fumecheng-4792	277	20	bem	bem	PROPN
fumecheng-4792	277	21	)	)	PUNCT
fumecheng-4792	277	22	are	be	AUX
fumecheng-4792	277	23	rapid	rapid	ADJ
fumecheng-4792	277	24	simulation	simulation	NOUN
fumecheng-4792	277	25	techniques	technique	NOUN
fumecheng-4792	277	26	for	for	ADP
fumecheng-4792	277	27	the	the	DET
fumecheng-4792	277	28	half	half	ADJ
fumecheng-4792	277	29	-	-	PUNCT
fumecheng-4792	277	30	space	space	NOUN
fumecheng-4792	277	31	and	and	CCONJ
fumecheng-4792	277	32	are	be	AUX
fumecheng-4792	277	33	well	well	ADV
fumecheng-4792	277	34	suited	suited	ADJ
fumecheng-4792	277	35	for	for	ADP
fumecheng-4792	277	36	wear	wear	NOUN
fumecheng-4792	277	37	simulations	simulation	NOUN
fumecheng-4792	277	38	.	.	PUNCT
fumecheng-4792	278	1	it	it	PRON
fumecheng-4792	278	2	was	be	AUX
fumecheng-4792	278	3	shown	show	VERB
fumecheng-4792	278	4	that	that	SCONJ
fumecheng-4792	278	5	both	both	DET
fumecheng-4792	278	6	techniques	technique	NOUN
fumecheng-4792	278	7	can	can	AUX
fumecheng-4792	278	8	provide	provide	VERB
fumecheng-4792	278	9	first	first	ADJ
fumecheng-4792	278	10	insights	insight	NOUN
fumecheng-4792	278	11	to	to	PART
fumecheng-4792	278	12	better	well	ADV
fumecheng-4792	278	13	understand	understand	VERB
fumecheng-4792	278	14	the	the	DET
fumecheng-4792	278	15	fir	fir	NOUN
fumecheng-4792	278	16	-	-	PUNCT
fumecheng-4792	278	17	tree	tree	NOUN
fumecheng-4792	278	18	.	.	PUNCT
fumecheng-4792	279	1	in	in	ADP
fumecheng-4792	279	2	the	the	DET
fumecheng-4792	279	3	region	region	NOUN
fumecheng-4792	279	4	of	of	ADP
fumecheng-4792	279	5	the	the	DET
fumecheng-4792	279	6	contact	contact	NOUN
fumecheng-4792	279	7	area	area	NOUN
fumecheng-4792	279	8	of	of	ADP
fumecheng-4792	279	9	the	the	DET
fumecheng-4792	279	10	fir	fir	NOUN
fumecheng-4792	279	11	-	-	PUNCT
fumecheng-4792	279	12	tree	tree	NOUN
fumecheng-4792	279	13	lobes	lobe	NOUN
fumecheng-4792	279	14	,	,	PUNCT
fumecheng-4792	279	15	the	the	DET
fumecheng-4792	279	16	results	result	NOUN
fumecheng-4792	279	17	for	for	ADP
fumecheng-4792	279	18	deformations	deformation	NOUN
fumecheng-4792	279	19	and	and	CCONJ
fumecheng-4792	279	20	stresses	stress	NOUN
fumecheng-4792	279	21	obtained	obtain	VERB
fumecheng-4792	279	22	with	with	ADP
fumecheng-4792	279	23	the	the	DET
fumecheng-4792	279	24	half	half	ADJ
fumecheng-4792	279	25	-	-	PUNCT
fumecheng-4792	279	26	space	space	NOUN
fumecheng-4792	279	27	models	model	NOUN
fumecheng-4792	279	28	are	be	AUX
fumecheng-4792	279	29	similar	similar	ADJ
fumecheng-4792	279	30	to	to	ADP
fumecheng-4792	279	31	those	those	PRON
fumecheng-4792	279	32	obtained	obtain	VERB
fumecheng-4792	279	33	with	with	ADP
fumecheng-4792	279	34	finite	finite	PROPN
fumecheng-4792	279	35	14	14	NUM
fumecheng-4792	279	36	j.	j.	PROPN
fumecheng-4792	279	37	benad	benad	PROPN
fumecheng-4792	279	38	element	element	NOUN
fumecheng-4792	279	39	models	model	NOUN
fumecheng-4792	279	40	.	.	PUNCT
fumecheng-4792	280	1	generally	generally	ADV
fumecheng-4792	280	2	,	,	PUNCT
fumecheng-4792	280	3	however	however	ADV
fumecheng-4792	280	4	,	,	PUNCT
fumecheng-4792	280	5	the	the	DET
fumecheng-4792	280	6	complex	complex	ADJ
fumecheng-4792	280	7	fir	fir	ADJ
fumecheng-4792	280	8	-	-	PUNCT
fumecheng-4792	280	9	tree	tree	NOUN
fumecheng-4792	280	10	geometry	geometry	NOUN
fumecheng-4792	280	11	exceeds	exceed	VERB
fumecheng-4792	280	12	the	the	DET
fumecheng-4792	280	13	limitations	limitation	NOUN
fumecheng-4792	280	14	of	of	ADP
fumecheng-4792	280	15	the	the	DET
fumecheng-4792	280	16	half	half	ADJ
fumecheng-4792	280	17	-	-	PUNCT
fumecheng-4792	280	18	space	space	NOUN
fumecheng-4792	280	19	models	model	NOUN
fumecheng-4792	280	20	.	.	PUNCT
fumecheng-4792	281	1	also	also	ADV
fumecheng-4792	281	2	mentioned	mention	VERB
fumecheng-4792	281	3	are	be	AUX
fumecheng-4792	281	4	ways	way	NOUN
fumecheng-4792	281	5	of	of	ADP
fumecheng-4792	281	6	extending	extend	VERB
fumecheng-4792	281	7	the	the	DET
fumecheng-4792	281	8	half	half	ADJ
fumecheng-4792	281	9	-	-	PUNCT
fumecheng-4792	281	10	space	space	NOUN
fumecheng-4792	281	11	model	model	NOUN
fumecheng-4792	281	12	to	to	ADP
fumecheng-4792	281	13	the	the	DET
fumecheng-4792	281	14	geometry	geometry	NOUN
fumecheng-4792	281	15	of	of	ADP
fumecheng-4792	281	16	the	the	DET
fumecheng-4792	281	17	fir	fir	NOUN
fumecheng-4792	281	18	-	-	PUNCT
fumecheng-4792	281	19	tree	tree	NOUN
fumecheng-4792	281	20	connection	connection	NOUN
fumecheng-4792	281	21	,	,	PUNCT
fumecheng-4792	281	22	such	such	ADJ
fumecheng-4792	281	23	as	as	ADP
fumecheng-4792	281	24	a	a	DET
fumecheng-4792	281	25	first	first	ADJ
fumecheng-4792	281	26	-	-	PUNCT
fumecheng-4792	281	27	order	order	NOUN
fumecheng-4792	281	28	perturbation	perturbation	NOUN
fumecheng-4792	281	29	method	method	NOUN
fumecheng-4792	281	30	for	for	ADP
fumecheng-4792	281	31	the	the	DET
fumecheng-4792	281	32	half	half	ADJ
fumecheng-4792	281	33	-	-	PUNCT
fumecheng-4792	281	34	space	space	NOUN
fumecheng-4792	281	35	approximation	approximation	NOUN
fumecheng-4792	281	36	to	to	PART
fumecheng-4792	281	37	take	take	VERB
fumecheng-4792	281	38	into	into	ADP
fumecheng-4792	281	39	account	account	NOUN
fumecheng-4792	281	40	stress	stress	NOUN
fumecheng-4792	281	41	concentration	concentration	NOUN
fumecheng-4792	281	42	effects	effect	NOUN
fumecheng-4792	281	43	at	at	ADP
fumecheng-4792	281	44	slightly	slightly	ADV
fumecheng-4792	281	45	undulating	undulate	VERB
fumecheng-4792	281	46	surfaces	surface	NOUN
fumecheng-4792	281	47	introduced	introduce	VERB
fumecheng-4792	281	48	by	by	ADP
fumecheng-4792	281	49	gao	gao	PROPN
fumecheng-4792	281	50	in	in	ADP
fumecheng-4792	281	51	1991	1991	NUM
fumecheng-4792	281	52	[	[	X
fumecheng-4792	281	53	24	24	NUM
fumecheng-4792	281	54	]	]	PUNCT
fumecheng-4792	281	55	.	.	PUNCT
fumecheng-4792	282	1	in	in	ADP
fumecheng-4792	282	2	addition	addition	NOUN
fumecheng-4792	282	3	,	,	PUNCT
fumecheng-4792	282	4	a	a	DET
fumecheng-4792	282	5	recent	recent	ADJ
fumecheng-4792	282	6	approach	approach	NOUN
fumecheng-4792	282	7	for	for	ADP
fumecheng-4792	282	8	completely	completely	ADV
fumecheng-4792	282	9	arbitrary	arbitrary	ADJ
fumecheng-4792	282	10	shapes	shape	NOUN
fumecheng-4792	282	11	(	(	PUNCT
fumecheng-4792	282	12	see	see	VERB
fumecheng-4792	282	13	[	[	X
fumecheng-4792	282	14	11	11	NUM
fumecheng-4792	282	15	]	]	PUNCT
fumecheng-4792	282	16	and	and	CCONJ
fumecheng-4792	283	1	[	[	X
fumecheng-4792	283	2	12	12	NUM
fumecheng-4792	283	3	]	]	PUNCT
fumecheng-4792	283	4	)	)	PUNCT
fumecheng-4792	283	5	inspired	inspire	VERB
fumecheng-4792	283	6	by	by	ADP
fumecheng-4792	283	7	the	the	DET
fumecheng-4792	283	8	rapid	rapid	ADJ
fumecheng-4792	283	9	fft	fft	NOUN
fumecheng-4792	283	10	based	base	VERB
fumecheng-4792	283	11	half	half	ADJ
fumecheng-4792	283	12	-	-	PUNCT
fumecheng-4792	283	13	space	space	NOUN
fumecheng-4792	283	14	bem	bem	NOUN
fumecheng-4792	283	15	,	,	PUNCT
fumecheng-4792	283	16	was	be	AUX
fumecheng-4792	283	17	discussed	discuss	VERB
fumecheng-4792	283	18	and	and	CCONJ
fumecheng-4792	283	19	applied	apply	VERB
fumecheng-4792	283	20	on	on	ADP
fumecheng-4792	283	21	the	the	DET
fumecheng-4792	283	22	navier	navier	NOUN
fumecheng-4792	283	23	equation	equation	NOUN
fumecheng-4792	283	24	.	.	PUNCT
fumecheng-4792	284	1	a	a	DET
fumecheng-4792	284	2	small	small	ADJ
fumecheng-4792	284	3	example	example	NOUN
fumecheng-4792	284	4	was	be	AUX
fumecheng-4792	284	5	presented	present	VERB
fumecheng-4792	284	6	to	to	PART
fumecheng-4792	284	7	indicate	indicate	VERB
fumecheng-4792	284	8	that	that	SCONJ
fumecheng-4792	284	9	the	the	DET
fumecheng-4792	284	10	use	use	NOUN
fumecheng-4792	284	11	of	of	ADP
fumecheng-4792	284	12	this	this	DET
fumecheng-4792	284	13	technique	technique	NOUN
fumecheng-4792	284	14	which	which	PRON
fumecheng-4792	284	15	utilizes	utilize	VERB
fumecheng-4792	284	16	the	the	DET
fumecheng-4792	284	17	fft	fft	PROPN
fumecheng-4792	284	18	to	to	PART
fumecheng-4792	284	19	obtain	obtain	VERB
fumecheng-4792	284	20	the	the	DET
fumecheng-4792	284	21	boundary	boundary	ADJ
fumecheng-4792	284	22	integrals	integral	NOUN
fumecheng-4792	284	23	on	on	ADP
fumecheng-4792	284	24	completely	completely	ADV
fumecheng-4792	284	25	arbitrary	arbitrary	ADJ
fumecheng-4792	284	26	shapes	shape	NOUN
fumecheng-4792	284	27	may	may	AUX
fumecheng-4792	284	28	be	be	AUX
fumecheng-4792	284	29	a	a	DET
fumecheng-4792	284	30	viable	viable	ADJ
fumecheng-4792	284	31	method	method	NOUN
fumecheng-4792	284	32	and	and	CCONJ
fumecheng-4792	284	33	worthy	worthy	ADJ
fumecheng-4792	284	34	of	of	ADP
fumecheng-4792	284	35	further	further	ADJ
fumecheng-4792	284	36	investigation	investigation	NOUN
fumecheng-4792	284	37	.	.	PUNCT
fumecheng-4792	285	1	this	this	PRON
fumecheng-4792	285	2	is	be	AUX
fumecheng-4792	285	3	due	due	ADJ
fumecheng-4792	285	4	to	to	ADP
fumecheng-4792	285	5	the	the	DET
fumecheng-4792	285	6	lower	low	ADJ
fumecheng-4792	285	7	computational	computational	ADJ
fumecheng-4792	285	8	complexity	complexity	NOUN
fumecheng-4792	285	9	of	of	ADP
fumecheng-4792	285	10	the	the	DET
fumecheng-4792	285	11	method	method	NOUN
fumecheng-4792	285	12	o(n	o(n	PROPN
fumecheng-4792	285	13	3	3	NUM
fumecheng-4792	285	14	log	log	NOUN
fumecheng-4792	285	15	n	n	ADV
fumecheng-4792	285	16	1.5	1.5	NUM
fumecheng-4792	285	17	)	)	PUNCT
fumecheng-4792	285	18	than	than	ADP
fumecheng-4792	285	19	the	the	DET
fumecheng-4792	285	20	inversion	inversion	NOUN
fumecheng-4792	285	21	of	of	ADP
fumecheng-4792	285	22	the	the	DET
fumecheng-4792	285	23	standard	standard	ADJ
fumecheng-4792	285	24	bem	bem	NOUN
fumecheng-4792	285	25	matrix	matrix	NOUN
fumecheng-4792	285	26	o(n	o(n	PROPN
fumecheng-4792	285	27	4	4	NUM
fumecheng-4792	285	28	)	)	PUNCT
fumecheng-4792	285	29	.	.	PUNCT
fumecheng-4792	286	1	other	other	ADJ
fumecheng-4792	286	2	aspects	aspect	NOUN
fumecheng-4792	286	3	which	which	PRON
fumecheng-4792	286	4	make	make	VERB
fumecheng-4792	286	5	the	the	DET
fumecheng-4792	286	6	technique	technique	NOUN
fumecheng-4792	286	7	appealing	appealing	ADJ
fumecheng-4792	286	8	are	be	AUX
fumecheng-4792	286	9	the	the	DET
fumecheng-4792	286	10	potential	potential	NOUN
fumecheng-4792	286	11	of	of	ADP
fumecheng-4792	286	12	decreasing	decrease	VERB
fumecheng-4792	286	13	this	this	DET
fumecheng-4792	286	14	complexity	complexity	NOUN
fumecheng-4792	286	15	even	even	ADV
fumecheng-4792	286	16	further	far	ADV
fumecheng-4792	286	17	through	through	ADP
fumecheng-4792	286	18	adaptive	adaptive	ADJ
fumecheng-4792	286	19	grids	grid	NOUN
fumecheng-4792	286	20	,	,	PUNCT
fumecheng-4792	286	21	efficient	efficient	ADJ
fumecheng-4792	286	22	parallel	parallel	ADJ
fumecheng-4792	286	23	implementations	implementation	NOUN
fumecheng-4792	286	24	of	of	ADP
fumecheng-4792	286	25	the	the	DET
fumecheng-4792	286	26	fft	fft	PROPN
fumecheng-4792	286	27	,	,	PUNCT
fumecheng-4792	286	28	and	and	CCONJ
fumecheng-4792	286	29	the	the	DET
fumecheng-4792	286	30	similarity	similarity	NOUN
fumecheng-4792	286	31	of	of	ADP
fumecheng-4792	286	32	the	the	DET
fumecheng-4792	286	33	method	method	NOUN
fumecheng-4792	286	34	to	to	ADP
fumecheng-4792	286	35	the	the	DET
fumecheng-4792	286	36	established	establish	VERB
fumecheng-4792	286	37	and	and	CCONJ
fumecheng-4792	286	38	very	very	ADV
fumecheng-4792	286	39	successful	successful	ADJ
fumecheng-4792	286	40	fft	fft	NOUN
fumecheng-4792	286	41	-	-	PUNCT
fumecheng-4792	286	42	base	base	ADJ
fumecheng-4792	286	43	bem	bem	NOUN
fumecheng-4792	286	44	for	for	ADP
fumecheng-4792	286	45	the	the	DET
fumecheng-4792	286	46	half	half	ADJ
fumecheng-4792	286	47	-	-	PUNCT
fumecheng-4792	286	48	space	space	NOUN
fumecheng-4792	286	49	.	.	PUNCT
fumecheng-4792	287	1	acknowledgements	acknowledgement	NOUN
fumecheng-4792	287	2	:	:	PUNCT
fumecheng-4792	287	3	the	the	DET
fumecheng-4792	287	4	author	author	NOUN
fumecheng-4792	287	5	would	would	AUX
fumecheng-4792	287	6	like	like	VERB
fumecheng-4792	287	7	to	to	PART
fumecheng-4792	287	8	thank	thank	VERB
fumecheng-4792	287	9	v.	v.	PROPN
fumecheng-4792	287	10	l.	l.	PROPN
fumecheng-4792	287	11	popov	popov	PROPN
fumecheng-4792	287	12	,	,	PUNCT
fumecheng-4792	287	13	a.	a.	NOUN
fumecheng-4792	287	14	golowin	golowin	PROPN
fumecheng-4792	287	15	,	,	PUNCT
fumecheng-4792	287	16	a.	a.	NOUN
fumecheng-4792	287	17	lacher	lacher	PROPN
fumecheng-4792	287	18	,	,	PUNCT
fumecheng-4792	287	19	p.	p.	NOUN
fumecheng-4792	287	20	duó	duó	NOUN
fumecheng-4792	287	21	,	,	PUNCT
fumecheng-4792	287	22	and	and	CCONJ
fumecheng-4792	287	23	p.	p.	NOUN
fumecheng-4792	287	24	diercks	dierck	NOUN
fumecheng-4792	287	25	for	for	ADP
fumecheng-4792	287	26	many	many	ADJ
fumecheng-4792	287	27	valuable	valuable	ADJ
fumecheng-4792	287	28	discussions	discussion	NOUN
fumecheng-4792	287	29	on	on	ADP
fumecheng-4792	287	30	the	the	DET
fumecheng-4792	287	31	topic	topic	NOUN
fumecheng-4792	287	32	.	.	PUNCT
fumecheng-4792	288	1	the	the	DET
fumecheng-4792	288	2	author	author	NOUN
fumecheng-4792	288	3	is	be	AUX
fumecheng-4792	288	4	particularly	particularly	ADV
fumecheng-4792	288	5	grateful	grateful	ADJ
fumecheng-4792	288	6	for	for	ADP
fumecheng-4792	288	7	the	the	DET
fumecheng-4792	288	8	kind	kind	ADJ
fumecheng-4792	288	9	permission	permission	NOUN
fumecheng-4792	288	10	of	of	ADP
fumecheng-4792	288	11	rolls	roll	NOUN
fumecheng-4792	288	12	-	-	PUNCT
fumecheng-4792	288	13	royce	royce	PROPN
fumecheng-4792	288	14	to	to	PART
fumecheng-4792	288	15	use	use	VERB
fumecheng-4792	288	16	illustrative	illustrative	ADJ
fumecheng-4792	288	17	images	image	NOUN
fumecheng-4792	288	18	throughout	throughout	ADP
fumecheng-4792	288	19	this	this	DET
fumecheng-4792	288	20	work	work	NOUN
fumecheng-4792	288	21	.	.	PUNCT
fumecheng-4792	289	1	references	reference	NOUN
fumecheng-4792	289	2	1	1	NUM
fumecheng-4792	289	3	.	.	PUNCT
fumecheng-4792	290	1	bräunling	bräunling	NOUN
fumecheng-4792	290	2	,	,	PUNCT
fumecheng-4792	290	3	w.	w.	PROPN
fumecheng-4792	290	4	,	,	PUNCT
fumecheng-4792	290	5	2015	2015	NUM
fumecheng-4792	290	6	,	,	PUNCT
fumecheng-4792	290	7	flugzeugtriebwerke	flugzeugtriebwerke	NOUN
fumecheng-4792	290	8	,	,	PUNCT
fumecheng-4792	290	9	3	3	NUM
fumecheng-4792	290	10	ed	ed	NOUN
fumecheng-4792	290	11	,	,	PUNCT
fumecheng-4792	290	12	springer	springer	NOUN
fumecheng-4792	290	13	,	,	PUNCT
fumecheng-4792	290	14	berlin	berlin	PROPN
fumecheng-4792	290	15	.	.	PUNCT
fumecheng-4792	291	1	2	2	X
fumecheng-4792	291	2	.	.	X
fumecheng-4792	291	3	torenbeek	torenbeek	PROPN
fumecheng-4792	291	4	,	,	PUNCT
fumecheng-4792	291	5	e.	e.	PROPN
fumecheng-4792	291	6	,	,	PUNCT
fumecheng-4792	291	7	1982	1982	NUM
fumecheng-4792	291	8	,	,	PUNCT
fumecheng-4792	291	9	synthesis	synthesis	NOUN
fumecheng-4792	291	10	of	of	ADP
fumecheng-4792	291	11	subsonic	subsonic	ADJ
fumecheng-4792	291	12	airplane	airplane	NOUN
fumecheng-4792	291	13	design	design	NOUN
fumecheng-4792	291	14	,	,	PUNCT
fumecheng-4792	291	15	kluwer	kluwer	NOUN
fumecheng-4792	291	16	academic	academic	ADJ
fumecheng-4792	291	17	publishers	publisher	NOUN
fumecheng-4792	291	18	,	,	PUNCT
fumecheng-4792	291	19	dordrecht	dordrecht	PROPN
fumecheng-4792	291	20	.	.	PUNCT
fumecheng-4792	292	1	3	3	X
fumecheng-4792	292	2	.	.	X
fumecheng-4792	292	3	raymer	raymer	NOUN
fumecheng-4792	292	4	,	,	PUNCT
fumecheng-4792	292	5	d.	d.	PROPN
fumecheng-4792	292	6	,	,	PUNCT
fumecheng-4792	292	7	1999	1999	NUM
fumecheng-4792	292	8	,	,	PUNCT
fumecheng-4792	292	9	aircraft	aircraft	NOUN
fumecheng-4792	292	10	design	design	NOUN
fumecheng-4792	292	11	:	:	PUNCT
fumecheng-4792	292	12	a	a	DET
fumecheng-4792	292	13	conceptual	conceptual	ADJ
fumecheng-4792	292	14	approach	approach	NOUN
fumecheng-4792	292	15	,	,	PUNCT
fumecheng-4792	292	16	3	3	NUM
fumecheng-4792	292	17	ed	ed	NOUN
fumecheng-4792	292	18	,	,	PUNCT
fumecheng-4792	292	19	american	american	PROPN
fumecheng-4792	292	20	institute	institute	PROPN
fumecheng-4792	292	21	of	of	ADP
fumecheng-4792	292	22	aeronautics	aeronautics	PROPN
fumecheng-4792	292	23	and	and	CCONJ
fumecheng-4792	292	24	astronautics	astronautics	PROPN
fumecheng-4792	292	25	,	,	PUNCT
fumecheng-4792	292	26	inc	inc	PROPN
fumecheng-4792	292	27	.	.	PROPN
fumecheng-4792	292	28	,	,	PUNCT
fumecheng-4792	292	29	reston	reston	PROPN
fumecheng-4792	292	30	.	.	PUNCT
fumecheng-4792	293	1	4	4	X
fumecheng-4792	293	2	.	.	X
fumecheng-4792	294	1	popov	popov	PROPN
fumecheng-4792	294	2	,	,	PUNCT
fumecheng-4792	294	3	v.l	v.l	PROPN
fumecheng-4792	294	4	.	.	PROPN
fumecheng-4792	294	5	,	,	PUNCT
fumecheng-4792	294	6	heß	heß	PROPN
fumecheng-4792	294	7	,	,	PUNCT
fumecheng-4792	294	8	m.	m.	NOUN
fumecheng-4792	294	9	,	,	PUNCT
fumecheng-4792	294	10	2015	2015	NUM
fumecheng-4792	294	11	,	,	PUNCT
fumecheng-4792	294	12	method	method	NOUN
fumecheng-4792	294	13	of	of	ADP
fumecheng-4792	294	14	dimensionality	dimensionality	NOUN
fumecheng-4792	294	15	reduction	reduction	NOUN
fumecheng-4792	294	16	in	in	ADP
fumecheng-4792	294	17	contact	contact	NOUN
fumecheng-4792	294	18	mechanics	mechanic	NOUN
fumecheng-4792	294	19	and	and	CCONJ
fumecheng-4792	294	20	friction	friction	NOUN
fumecheng-4792	294	21	,	,	PUNCT
fumecheng-4792	294	22	springer	springer	NOUN
fumecheng-4792	294	23	,	,	PUNCT
fumecheng-4792	294	24	berlin	berlin	PROPN
fumecheng-4792	294	25	.	.	PUNCT
fumecheng-4792	295	1	5	5	X
fumecheng-4792	295	2	.	.	X
fumecheng-4792	295	3	putignano	putignano	PROPN
fumecheng-4792	295	4	,	,	PUNCT
fumecheng-4792	295	5	c.	c.	PROPN
fumecheng-4792	295	6	,	,	PUNCT
fumecheng-4792	295	7	afferrante	afferrante	NOUN
fumecheng-4792	295	8	,	,	PUNCT
fumecheng-4792	295	9	l.	l.	PROPN
fumecheng-4792	295	10	,	,	PUNCT
fumecheng-4792	295	11	carbone	carbone	NOUN
fumecheng-4792	295	12	,	,	PUNCT
fumecheng-4792	295	13	g.	g.	PROPN
fumecheng-4792	295	14	,	,	PUNCT
fumecheng-4792	295	15	demelio	demelio	PROPN
fumecheng-4792	295	16	,	,	PUNCT
fumecheng-4792	295	17	g.	g.	PROPN
fumecheng-4792	295	18	,	,	PUNCT
fumecheng-4792	295	19	2012	2012	NUM
fumecheng-4792	295	20	,	,	PUNCT
fumecheng-4792	295	21	a	a	DET
fumecheng-4792	295	22	new	new	ADJ
fumecheng-4792	295	23	efficient	efficient	ADJ
fumecheng-4792	295	24	numerical	numerical	ADJ
fumecheng-4792	295	25	method	method	NOUN
fumecheng-4792	295	26	for	for	ADP
fumecheng-4792	295	27	contact	contact	NOUN
fumecheng-4792	295	28	mechanics	mechanic	NOUN
fumecheng-4792	295	29	of	of	ADP
fumecheng-4792	295	30	rough	rough	ADJ
fumecheng-4792	295	31	surfaces	surface	NOUN
fumecheng-4792	295	32	,	,	PUNCT
fumecheng-4792	295	33	international	international	ADJ
fumecheng-4792	295	34	journal	journal	NOUN
fumecheng-4792	295	35	of	of	ADP
fumecheng-4792	295	36	solids	solid	NOUN
fumecheng-4792	295	37	and	and	CCONJ
fumecheng-4792	295	38	structures	structure	NOUN
fumecheng-4792	295	39	,	,	PUNCT
fumecheng-4792	295	40	49(2	49(2	NUM
fumecheng-4792	295	41	)	)	PUNCT
fumecheng-4792	295	42	,	,	PUNCT
fumecheng-4792	295	43	pp	pp	PROPN
fumecheng-4792	295	44	.	.	PUNCT
fumecheng-4792	296	1	338	338	NUM
fumecheng-4792	296	2	-	-	SYM
fumecheng-4792	296	3	343	343	NUM
fumecheng-4792	296	4	.	.	PUNCT
fumecheng-4792	297	1	6	6	NUM
fumecheng-4792	297	2	.	.	X
fumecheng-4792	298	1	popov	popov	PROPN
fumecheng-4792	298	2	,	,	PUNCT
fumecheng-4792	298	3	v.l	v.l	PROPN
fumecheng-4792	298	4	.	.	PROPN
fumecheng-4792	298	5	,	,	PUNCT
fumecheng-4792	298	6	2017	2017	NUM
fumecheng-4792	298	7	,	,	PUNCT
fumecheng-4792	298	8	contact	contact	NOUN
fumecheng-4792	298	9	mechanics	mechanic	NOUN
fumecheng-4792	298	10	and	and	CCONJ
fumecheng-4792	298	11	friction	friction	NOUN
fumecheng-4792	298	12	,	,	PUNCT
fumecheng-4792	298	13	2	2	NUM
fumecheng-4792	298	14	ed	ed	NOUN
fumecheng-4792	298	15	,	,	PUNCT
fumecheng-4792	298	16	springer	springer	NOUN
fumecheng-4792	298	17	,	,	PUNCT
fumecheng-4792	298	18	berlin	berlin	PROPN
fumecheng-4792	298	19	.	.	PUNCT
fumecheng-4792	299	1	7	7	X
fumecheng-4792	299	2	.	.	X
fumecheng-4792	299	3	dimaki	dimaki	NOUN
fumecheng-4792	299	4	,	,	PUNCT
fumecheng-4792	299	5	a.	a.	PROPN
fumecheng-4792	299	6	,	,	PUNCT
fumecheng-4792	299	7	dmitriev	dmitriev	PROPN
fumecheng-4792	299	8	,	,	PUNCT
fumecheng-4792	299	9	a.	a.	NOUN
fumecheng-4792	299	10	,	,	PUNCT
fumecheng-4792	299	11	menga	menga	NOUN
fumecheng-4792	299	12	,	,	PUNCT
fumecheng-4792	299	13	n.	n.	NOUN
fumecheng-4792	299	14	,	,	PUNCT
fumecheng-4792	299	15	papangelo	papangelo	NOUN
fumecheng-4792	299	16	,	,	PUNCT
fumecheng-4792	299	17	a.	a.	NOUN
fumecheng-4792	299	18	,	,	PUNCT
fumecheng-4792	299	19	ciavarella	ciavarella	NOUN
fumecheng-4792	299	20	,	,	PUNCT
fumecheng-4792	299	21	m.	m.	NOUN
fumecheng-4792	299	22	,	,	PUNCT
fumecheng-4792	299	23	popov	popov	PROPN
fumecheng-4792	299	24	,	,	PUNCT
fumecheng-4792	299	25	v.l	v.l	PROPN
fumecheng-4792	299	26	.	.	PROPN
fumecheng-4792	299	27	,	,	PUNCT
fumecheng-4792	299	28	2016	2016	NUM
fumecheng-4792	299	29	,	,	PUNCT
fumecheng-4792	299	30	fast	fast	ADJ
fumecheng-4792	299	31	high	high	ADJ
fumecheng-4792	299	32	-	-	PUNCT
fumecheng-4792	299	33	resolution	resolution	NOUN
fumecheng-4792	299	34	simulation	simulation	NOUN
fumecheng-4792	299	35	of	of	ADP
fumecheng-4792	299	36	the	the	DET
fumecheng-4792	299	37	gross	gross	ADJ
fumecheng-4792	299	38	slip	slip	NOUN
fumecheng-4792	299	39	wear	wear	NOUN
fumecheng-4792	299	40	of	of	ADP
fumecheng-4792	299	41	axially	axially	ADV
fumecheng-4792	299	42	symmetric	symmetric	ADJ
fumecheng-4792	299	43	contacts	contact	NOUN
fumecheng-4792	299	44	,	,	PUNCT
fumecheng-4792	299	45	tribology	tribology	NOUN
fumecheng-4792	299	46	transactions	transaction	NOUN
fumecheng-4792	299	47	,	,	PUNCT
fumecheng-4792	299	48	59(1	59(1	NUM
fumecheng-4792	299	49	)	)	PUNCT
fumecheng-4792	299	50	,	,	PUNCT
fumecheng-4792	299	51	pp	pp	ADP
fumecheng-4792	299	52	.	.	PUNCT
fumecheng-4792	300	1	189	189	NUM
fumecheng-4792	300	2	-	-	SYM
fumecheng-4792	300	3	194	194	NUM
fumecheng-4792	300	4	.	.	PUNCT
fumecheng-4792	301	1	8	8	NUM
fumecheng-4792	301	2	.	.	PUNCT
fumecheng-4792	302	1	li	li	PROPN
fumecheng-4792	302	2	,	,	PUNCT
fumecheng-4792	302	3	q.	q.	PROPN
fumecheng-4792	302	4	,	,	PUNCT
fumecheng-4792	302	5	forsbach	forsbach	PROPN
fumecheng-4792	302	6	,	,	PUNCT
fumecheng-4792	302	7	f.	f.	PROPN
fumecheng-4792	302	8	,	,	PUNCT
fumecheng-4792	302	9	schuster	schuster	PROPN
fumecheng-4792	302	10	,	,	PUNCT
fumecheng-4792	302	11	m.	m.	NOUN
fumecheng-4792	302	12	,	,	PUNCT
fumecheng-4792	302	13	pielsticker	pielsticker	PROPN
fumecheng-4792	302	14	,	,	PUNCT
fumecheng-4792	302	15	d.	d.	PROPN
fumecheng-4792	302	16	,	,	PUNCT
fumecheng-4792	302	17	popov	popov	PROPN
fumecheng-4792	302	18	,	,	PUNCT
fumecheng-4792	302	19	v.l	v.l	PROPN
fumecheng-4792	302	20	.	.	PROPN
fumecheng-4792	302	21	,	,	PUNCT
fumecheng-4792	302	22	2018	2018	NUM
fumecheng-4792	302	23	,	,	PUNCT
fumecheng-4792	302	24	wear	wear	VERB
fumecheng-4792	302	25	analysis	analysis	NOUN
fumecheng-4792	302	26	of	of	ADP
fumecheng-4792	302	27	a	a	DET
fumecheng-4792	302	28	heterogeneous	heterogeneous	ADJ
fumecheng-4792	302	29	annular	annular	ADJ
fumecheng-4792	302	30	cylinder	cylinder	NOUN
fumecheng-4792	302	31	,	,	PUNCT
fumecheng-4792	302	32	lubricants	lubricant	NOUN
fumecheng-4792	302	33	,	,	PUNCT
fumecheng-4792	302	34	6(1	6(1	NUM
fumecheng-4792	302	35	)	)	PUNCT
fumecheng-4792	302	36	,	,	PUNCT
fumecheng-4792	302	37	28	28	NUM
fumecheng-4792	302	38	.	.	NOUN
fumecheng-4792	303	1	9	9	NUM
fumecheng-4792	303	2	.	.	X
fumecheng-4792	304	1	popov	popov	PROPN
fumecheng-4792	304	2	,	,	PUNCT
fumecheng-4792	304	3	v.l	v.l	PROPN
fumecheng-4792	304	4	.	.	PROPN
fumecheng-4792	304	5	,	,	PUNCT
fumecheng-4792	304	6	pohrt	pohrt	PROPN
fumecheng-4792	304	7	,	,	PUNCT
fumecheng-4792	304	8	r.	r.	PROPN
fumecheng-4792	304	9	,	,	PUNCT
fumecheng-4792	304	10	2018	2018	NUM
fumecheng-4792	304	11	,	,	PUNCT
fumecheng-4792	304	12	adhesive	adhesive	ADJ
fumecheng-4792	304	13	wear	wear	NOUN
fumecheng-4792	304	14	and	and	CCONJ
fumecheng-4792	304	15	particle	particle	NOUN
fumecheng-4792	304	16	emission	emission	NOUN
fumecheng-4792	304	17	:	:	PUNCT
fumecheng-4792	304	18	numerical	numerical	ADJ
fumecheng-4792	304	19	approach	approach	NOUN
fumecheng-4792	304	20	based	base	VERB
fumecheng-4792	304	21	on	on	ADP
fumecheng-4792	304	22	asperity	asperity	NOUN
fumecheng-4792	304	23	-	-	PUNCT
fumecheng-4792	304	24	free	free	ADJ
fumecheng-4792	304	25	formulation	formulation	NOUN
fumecheng-4792	304	26	of	of	ADP
fumecheng-4792	304	27	rabinowicz	rabinowicz	ADJ
fumecheng-4792	304	28	criterion	criterion	NOUN
fumecheng-4792	304	29	,	,	PUNCT
fumecheng-4792	304	30	friction	friction	NOUN
fumecheng-4792	304	31	,	,	PUNCT
fumecheng-4792	304	32	6(3	6(3	NUM
fumecheng-4792	304	33	)	)	PUNCT
fumecheng-4792	304	34	,	,	PUNCT
fumecheng-4792	304	35	pp	pp	ADP
fumecheng-4792	304	36	.	.	PUNCT
fumecheng-4792	304	37	260	260	NUM
fumecheng-4792	304	38	-	-	SYM
fumecheng-4792	304	39	273	273	NUM
fumecheng-4792	304	40	.	.	PUNCT
fumecheng-4792	304	41	10	10	NUM
fumecheng-4792	304	42	.	.	X
fumecheng-4792	305	1	cleynen	cleynen	NOUN
fumecheng-4792	305	2	,	,	PUNCT
fumecheng-4792	305	3	o.	o.	NOUN
fumecheng-4792	305	4	,	,	PUNCT
fumecheng-4792	305	5	2012	2012	NUM
fumecheng-4792	305	6	,	,	PUNCT
fumecheng-4792	305	7	turbine	turbine	NOUN
fumecheng-4792	305	8	of	of	ADP
fumecheng-4792	305	9	a	a	DET
fumecheng-4792	305	10	sectioned	section	VERB
fumecheng-4792	305	11	rolls	roll	NOUN
fumecheng-4792	305	12	-	-	PUNCT
fumecheng-4792	305	13	royce	royce	PROPN
fumecheng-4792	305	14	turboméca	turboméca	PROPN
fumecheng-4792	305	15	adour	adour	PROPN
fumecheng-4792	305	16	turbofan	turbofan	NOUN
fumecheng-4792	305	17	,	,	PUNCT
fumecheng-4792	305	18	accessed	access	VERB
fumecheng-4792	305	19	2019	2019	NUM
fumecheng-4792	305	20	at	at	ADP
fumecheng-4792	305	21	https://upload.wikimedia.org/wikipedia/commons/7/7e/turbine_of_a_sectioned_rolls-royce_turbom%	https://upload.wikimedia.org/wikipedia/commons/7/7e/turbine_of_a_sectioned_rolls-royce_turbom%	NOUN
fumecheng-4792	305	22	c3%a9ca_adour_turbofan.jpg	c3%a9ca_adour_turbofan.jpg	NOUN
fumecheng-4792	305	23	.	.	PUNCT
fumecheng-4792	306	1	11	11	NUM
fumecheng-4792	306	2	.	.	PUNCT
fumecheng-4792	307	1	benad	benad	PROPN
fumecheng-4792	307	2	,	,	PUNCT
fumecheng-4792	307	3	j.	j.	PROPN
fumecheng-4792	307	4	,	,	PUNCT
fumecheng-4792	307	5	2018	2018	NUM
fumecheng-4792	307	6	,	,	PUNCT
fumecheng-4792	307	7	acceleration	acceleration	NOUN
fumecheng-4792	307	8	of	of	ADP
fumecheng-4792	307	9	the	the	DET
fumecheng-4792	307	10	boundary	boundary	ADJ
fumecheng-4792	307	11	element	element	NOUN
fumecheng-4792	307	12	method	method	NOUN
fumecheng-4792	307	13	for	for	ADP
fumecheng-4792	307	14	arbitrary	arbitrary	ADJ
fumecheng-4792	307	15	shapes	shape	NOUN
fumecheng-4792	307	16	with	with	ADP
fumecheng-4792	307	17	the	the	DET
fumecheng-4792	307	18	fast	fast	ADJ
fumecheng-4792	307	19	fourier	fourier	NOUN
fumecheng-4792	307	20	transformation	transformation	NOUN
fumecheng-4792	307	21	,	,	PUNCT
fumecheng-4792	307	22	arxiv	arxiv	PROPN
fumecheng-4792	307	23	preprint	preprint	NOUN
fumecheng-4792	307	24	,	,	PUNCT
fumecheng-4792	307	25	arxiv:1809.00845	arxiv:1809.00845	NOUN
fumecheng-4792	307	26	.	.	PUNCT
fumecheng-4792	308	1	12	12	NUM
fumecheng-4792	308	2	.	.	PUNCT
fumecheng-4792	309	1	benad	benad	PROPN
fumecheng-4792	309	2	,	,	PUNCT
fumecheng-4792	309	3	j.	j.	PROPN
fumecheng-4792	309	4	,	,	PUNCT
fumecheng-4792	309	5	2018	2018	NUM
fumecheng-4792	309	6	,	,	PUNCT
fumecheng-4792	309	7	efficient	efficient	ADJ
fumecheng-4792	309	8	calculation	calculation	NOUN
fumecheng-4792	309	9	of	of	ADP
fumecheng-4792	309	10	the	the	DET
fumecheng-4792	309	11	bem	bem	NOUN
fumecheng-4792	309	12	integrals	integral	NOUN
fumecheng-4792	309	13	on	on	ADP
fumecheng-4792	309	14	arbitrary	arbitrary	ADJ
fumecheng-4792	309	15	shapes	shape	NOUN
fumecheng-4792	309	16	with	with	ADP
fumecheng-4792	309	17	the	the	DET
fumecheng-4792	309	18	fft	fft	PROPN
fumecheng-4792	309	19	,	,	PUNCT
fumecheng-4792	309	20	facta	facta	PROPN
fumecheng-4792	309	21	universitatis	universitatis	PROPN
fumecheng-4792	309	22	-	-	PUNCT
fumecheng-4792	309	23	series	series	NOUN
fumecheng-4792	309	24	mechanical	mechanical	ADJ
fumecheng-4792	309	25	engineering	engineering	NOUN
fumecheng-4792	309	26	,	,	PUNCT
fumecheng-4792	309	27	16(3	16(3	NOUN
fumecheng-4792	309	28	)	)	PUNCT
fumecheng-4792	309	29	,	,	PUNCT
fumecheng-4792	309	30	pp	pp	ADP
fumecheng-4792	309	31	.	.	PUNCT
fumecheng-4792	310	1	405	405	NUM
fumecheng-4792	310	2	-	-	SYM
fumecheng-4792	310	3	417	417	NUM
fumecheng-4792	310	4	.	.	NOUN
fumecheng-4792	311	1	13	13	NUM
fumecheng-4792	311	2	.	.	PUNCT
fumecheng-4792	311	3	atsb	atsb	PROPN
fumecheng-4792	311	4	transport	transport	PROPN
fumecheng-4792	311	5	safety	safety	PROPN
fumecheng-4792	311	6	report	report	NOUN
fumecheng-4792	311	7	,	,	PUNCT
fumecheng-4792	311	8	2013	2013	NUM
fumecheng-4792	311	9	,	,	PUNCT
fumecheng-4792	311	10	in	in	ADP
fumecheng-4792	311	11	-	-	PUNCT
fumecheng-4792	311	12	flight	flight	NOUN
fumecheng-4792	311	13	uncontained	uncontained	ADJ
fumecheng-4792	311	14	engine	engine	NOUN
fumecheng-4792	311	15	failure	failure	NOUN
fumecheng-4792	311	16	airbus	airbus	PROPN
fumecheng-4792	311	17	a380	a380	PROPN
fumecheng-4792	311	18	-	-	SYM
fumecheng-4792	311	19	842	842	NUM
fumecheng-4792	311	20	,	,	PUNCT
fumecheng-4792	311	21	accessed	access	VERB
fumecheng-4792	311	22	2019	2019	NUM
fumecheng-4792	311	23	at	at	ADP
fumecheng-4792	311	24	https://www.atsb.gov.au/publications/investigation_reports/2010/aair/ao-2010-089.aspx	https://www.atsb.gov.au/publications/investigation_reports/2010/aair/ao-2010-089.aspx	NOUN
fumecheng-4792	311	25	.	.	PUNCT
fumecheng-4792	312	1	14	14	NUM
fumecheng-4792	312	2	.	.	PUNCT
fumecheng-4792	313	1	popov	popov	PROPN
fumecheng-4792	313	2	,	,	PUNCT
fumecheng-4792	313	3	v.l	v.l	PROPN
fumecheng-4792	313	4	.	.	PROPN
fumecheng-4792	313	5	,	,	PUNCT
fumecheng-4792	313	6	psakhie	psakhie	PROPN
fumecheng-4792	313	7	,	,	PUNCT
fumecheng-4792	313	8	s.	s.	PROPN
fumecheng-4792	313	9	,	,	PUNCT
fumecheng-4792	313	10	2007	2007	NUM
fumecheng-4792	313	11	,	,	PUNCT
fumecheng-4792	313	12	numerical	numerical	PROPN
fumecheng-4792	313	13	simulation	simulation	NOUN
fumecheng-4792	313	14	methods	method	NOUN
fumecheng-4792	313	15	in	in	ADP
fumecheng-4792	313	16	tribology	tribology	NOUN
fumecheng-4792	313	17	,	,	PUNCT
fumecheng-4792	313	18	tribology	tribology	PROPN
fumecheng-4792	313	19	international	international	PROPN
fumecheng-4792	313	20	,	,	PUNCT
fumecheng-4792	313	21	40(6	40(6	PROPN
fumecheng-4792	313	22	)	)	PUNCT
fumecheng-4792	313	23	,	,	PUNCT
fumecheng-4792	313	24	pp	pp	ADP
fumecheng-4792	313	25	.	.	PUNCT
fumecheng-4792	314	1	916	916	NUM
fumecheng-4792	314	2	-	-	SYM
fumecheng-4792	314	3	923	923	NUM
fumecheng-4792	314	4	.	.	NOUN
fumecheng-4792	314	5	15	15	NUM
fumecheng-4792	314	6	.	.	PUNCT
fumecheng-4792	315	1	popov	popov	PROPN
fumecheng-4792	315	2	,	,	PUNCT
fumecheng-4792	315	3	v.l	v.l	PROPN
fumecheng-4792	315	4	.	.	PROPN
fumecheng-4792	315	5	,	,	PUNCT
fumecheng-4792	315	6	2018	2018	NUM
fumecheng-4792	315	7	,	,	PUNCT
fumecheng-4792	315	8	is	be	AUX
fumecheng-4792	315	9	tribology	tribology	NOUN
fumecheng-4792	315	10	approaching	approach	VERB
fumecheng-4792	315	11	its	its	PRON
fumecheng-4792	315	12	golden	golden	ADJ
fumecheng-4792	315	13	age	age	NOUN
fumecheng-4792	315	14	?	?	PUNCT
fumecheng-4792	316	1	grand	grand	ADJ
fumecheng-4792	316	2	challenges	challenge	NOUN
fumecheng-4792	316	3	in	in	ADP
fumecheng-4792	316	4	engineering	engineer	VERB
fumecheng-4792	316	5	education	education	NOUN
fumecheng-4792	316	6	and	and	CCONJ
fumecheng-4792	316	7	tribological	tribological	ADJ
fumecheng-4792	316	8	research	research	NOUN
fumecheng-4792	316	9	,	,	PUNCT
fumecheng-4792	316	10	frontiers	frontier	NOUN
fumecheng-4792	316	11	in	in	ADP
fumecheng-4792	316	12	mechanical	mechanical	ADJ
fumecheng-4792	316	13	engineering	engineering	NOUN
fumecheng-4792	316	14	,	,	PUNCT
fumecheng-4792	316	15	4	4	NUM
fumecheng-4792	316	16	,	,	PUNCT
fumecheng-4792	316	17	pp	pp	ADJ
fumecheng-4792	316	18	.	.	PUNCT
fumecheng-4792	317	1	16	16	NUM
fumecheng-4792	317	2	.	.	X
fumecheng-4792	318	1	16	16	NUM
fumecheng-4792	318	2	.	.	PUNCT
fumecheng-4792	319	1	dimaki	dimaki	NOUN
fumecheng-4792	319	2	,	,	PUNCT
fumecheng-4792	319	3	a.	a.	PROPN
fumecheng-4792	319	4	,	,	PUNCT
fumecheng-4792	319	5	dmitriev	dmitriev	PROPN
fumecheng-4792	319	6	,	,	PUNCT
fumecheng-4792	319	7	a.	a.	NOUN
fumecheng-4792	319	8	,	,	PUNCT
fumecheng-4792	319	9	chai	chai	NOUN
fumecheng-4792	319	10	,	,	PUNCT
fumecheng-4792	319	11	y.	y.	PROPN
fumecheng-4792	319	12	,	,	PUNCT
fumecheng-4792	319	13	popov	popov	PROPN
fumecheng-4792	319	14	,	,	PUNCT
fumecheng-4792	319	15	v.l	v.l	PROPN
fumecheng-4792	319	16	.	.	PROPN
fumecheng-4792	319	17	,	,	PUNCT
fumecheng-4792	319	18	2014	2014	NUM
fumecheng-4792	319	19	,	,	PUNCT
fumecheng-4792	319	20	rapid	rapid	ADJ
fumecheng-4792	319	21	simulation	simulation	NOUN
fumecheng-4792	319	22	procedure	procedure	NOUN
fumecheng-4792	319	23	for	for	ADP
fumecheng-4792	319	24	fretting	fret	VERB
fumecheng-4792	319	25	wear	wear	NOUN
fumecheng-4792	319	26	on	on	ADP
fumecheng-4792	319	27	the	the	DET
fumecheng-4792	319	28	basis	basis	NOUN
fumecheng-4792	319	29	of	of	ADP
fumecheng-4792	319	30	the	the	DET
fumecheng-4792	319	31	method	method	NOUN
fumecheng-4792	319	32	of	of	ADP
fumecheng-4792	319	33	dimensionality	dimensionality	NOUN
fumecheng-4792	319	34	reduction	reduction	NOUN
fumecheng-4792	319	35	,	,	PUNCT
fumecheng-4792	319	36	international	international	ADJ
fumecheng-4792	319	37	journal	journal	NOUN
fumecheng-4792	319	38	of	of	ADP
fumecheng-4792	319	39	solids	solid	NOUN
fumecheng-4792	319	40	and	and	CCONJ
fumecheng-4792	319	41	structures	structure	NOUN
fumecheng-4792	319	42	,	,	PUNCT
fumecheng-4792	319	43	51(25	51(25	NOUN
fumecheng-4792	319	44	-	-	SYM
fumecheng-4792	319	45	26	26	NUM
fumecheng-4792	319	46	)	)	PUNCT
fumecheng-4792	319	47	,	,	PUNCT
fumecheng-4792	319	48	pp	pp	PROPN
fumecheng-4792	319	49	.	.	PUNCT
fumecheng-4792	320	1	4215	4215	NUM
fumecheng-4792	320	2	-	-	SYM
fumecheng-4792	320	3	4220	4220	NUM
fumecheng-4792	320	4	.	.	PUNCT
fumecheng-4792	321	1	numerical	numerical	ADJ
fumecheng-4792	321	2	methods	method	NOUN
fumecheng-4792	321	3	for	for	ADP
fumecheng-4792	321	4	simulation	simulation	NOUN
fumecheng-4792	321	5	of	of	ADP
fumecheng-4792	321	6	deformations	deformation	NOUN
fumecheng-4792	321	7	and	and	CCONJ
fumecheng-4792	321	8	stresses	stress	NOUN
fumecheng-4792	321	9	in	in	ADP
fumecheng-4792	321	10	turbine	turbine	NOUN
fumecheng-4792	321	11	blade	blade	NOUN
fumecheng-4792	321	12	fir	fir	NOUN
fumecheng-4792	321	13	-	-	PUNCT
fumecheng-4792	321	14	tree	tree	NOUN
fumecheng-4792	321	15	connections	connection	NOUN
fumecheng-4792	321	16	15	15	NUM
fumecheng-4792	321	17	17	17	NUM
fumecheng-4792	321	18	.	.	PUNCT
fumecheng-4792	322	1	archard	archard	PROPN
fumecheng-4792	322	2	,	,	PUNCT
fumecheng-4792	322	3	j.	j.	PROPN
fumecheng-4792	322	4	,	,	PUNCT
fumecheng-4792	322	5	hirst	hirst	PROPN
fumecheng-4792	322	6	,	,	PUNCT
fumecheng-4792	322	7	w.	w.	PROPN
fumecheng-4792	322	8	,	,	PUNCT
fumecheng-4792	322	9	1956	1956	NUM
fumecheng-4792	322	10	,	,	PUNCT
fumecheng-4792	322	11	the	the	DET
fumecheng-4792	322	12	wear	wear	NOUN
fumecheng-4792	322	13	of	of	ADP
fumecheng-4792	322	14	metals	metal	NOUN
fumecheng-4792	322	15	under	under	ADP
fumecheng-4792	322	16	unlubricated	unlubricated	ADJ
fumecheng-4792	322	17	conditions	condition	NOUN
fumecheng-4792	322	18	,	,	PUNCT
fumecheng-4792	322	19	proc	proc	NOUN
fumecheng-4792	322	20	.	.	PUNCT
fumecheng-4792	323	1	r.	r.	PROPN
fumecheng-4792	323	2	soc	soc	PROPN
fumecheng-4792	323	3	.	.	PUNCT
fumecheng-4792	324	1	lond	lond	PROPN
fumecheng-4792	324	2	.	.	PUNCT
fumecheng-4792	325	1	a	a	DET
fumecheng-4792	325	2	,	,	PUNCT
fumecheng-4792	325	3	236(1206	236(1206	NUM
fumecheng-4792	325	4	)	)	PUNCT
fumecheng-4792	325	5	,	,	PUNCT
fumecheng-4792	326	1	pp	pp	ADP
fumecheng-4792	326	2	.	.	PUNCT
fumecheng-4792	327	1	397	397	NUM
fumecheng-4792	327	2	-	-	SYM
fumecheng-4792	327	3	410	410	NUM
fumecheng-4792	327	4	.	.	PUNCT
fumecheng-4792	328	1	18	18	NUM
fumecheng-4792	328	2	.	.	PUNCT
fumecheng-4792	329	1	nakano	nakano	PROPN
fumecheng-4792	329	2	,	,	PUNCT
fumecheng-4792	329	3	k.	k.	PROPN
fumecheng-4792	329	4	,	,	PUNCT
fumecheng-4792	329	5	kawaguchi	kawaguchi	PROPN
fumecheng-4792	329	6	,	,	PUNCT
fumecheng-4792	329	7	k.	k.	PROPN
fumecheng-4792	329	8	,	,	PUNCT
fumecheng-4792	329	9	takeshima	takeshima	PROPN
fumecheng-4792	329	10	,	,	PUNCT
fumecheng-4792	329	11	k.	k.	PROPN
fumecheng-4792	329	12	,	,	PUNCT
fumecheng-4792	329	13	shiraishi	shiraishi	PROPN
fumecheng-4792	329	14	,	,	PUNCT
fumecheng-4792	329	15	y.	y.	NOUN
fumecheng-4792	329	16	,	,	PUNCT
fumecheng-4792	329	17	forsbach	forsbach	PROPN
fumecheng-4792	329	18	,	,	PUNCT
fumecheng-4792	329	19	f.	f.	PROPN
fumecheng-4792	329	20	,	,	PUNCT
fumecheng-4792	329	21	benad	benad	PROPN
fumecheng-4792	329	22	,	,	PUNCT
fumecheng-4792	329	23	j.	j.	PROPN
fumecheng-4792	329	24	,	,	PUNCT
fumecheng-4792	329	25	popov	popov	PROPN
fumecheng-4792	329	26	,	,	PUNCT
fumecheng-4792	329	27	m.	m.	NOUN
fumecheng-4792	329	28	,	,	PUNCT
fumecheng-4792	329	29	popov	popov	PROPN
fumecheng-4792	329	30	,	,	PUNCT
fumecheng-4792	329	31	v.l	v.l	PROPN
fumecheng-4792	329	32	.	.	PROPN
fumecheng-4792	329	33	,	,	PUNCT
fumecheng-4792	329	34	2019	2019	NUM
fumecheng-4792	329	35	,	,	PUNCT
fumecheng-4792	329	36	investigation	investigation	NOUN
fumecheng-4792	329	37	on	on	ADP
fumecheng-4792	329	38	dynamic	dynamic	ADJ
fumecheng-4792	329	39	response	response	NOUN
fumecheng-4792	329	40	of	of	ADP
fumecheng-4792	329	41	rubber	rubber	NOUN
fumecheng-4792	329	42	in	in	ADP
fumecheng-4792	329	43	frictional	frictional	ADJ
fumecheng-4792	329	44	contact	contact	NOUN
fumecheng-4792	329	45	,	,	PUNCT
fumecheng-4792	329	46	frontiers	frontier	NOUN
fumecheng-4792	329	47	in	in	ADP
fumecheng-4792	329	48	mechanical	mechanical	ADJ
fumecheng-4792	329	49	engineering	engineering	NOUN
fumecheng-4792	329	50	,	,	PUNCT
fumecheng-4792	329	51	5	5	NUM
fumecheng-4792	329	52	,	,	PUNCT
fumecheng-4792	329	53	pp	pp	ADJ
fumecheng-4792	329	54	.	.	PUNCT
fumecheng-4792	330	1	9	9	NUM
fumecheng-4792	330	2	.	.	X
fumecheng-4792	330	3	19	19	NUM
fumecheng-4792	330	4	.	.	PUNCT
fumecheng-4792	331	1	barber	barber	PROPN
fumecheng-4792	331	2	,	,	PUNCT
fumecheng-4792	331	3	j.	j.	PROPN
fumecheng-4792	331	4	,	,	PUNCT
fumecheng-4792	331	5	2018	2018	NUM
fumecheng-4792	331	6	,	,	PUNCT
fumecheng-4792	331	7	contact	contact	NOUN
fumecheng-4792	331	8	mechanics	mechanic	NOUN
fumecheng-4792	331	9	,	,	PUNCT
fumecheng-4792	331	10	solid	solid	ADJ
fumecheng-4792	331	11	mechanics	mechanic	NOUN
fumecheng-4792	331	12	and	and	CCONJ
fumecheng-4792	331	13	its	its	PRON
fumecheng-4792	331	14	applications	application	NOUN
fumecheng-4792	331	15	,	,	PUNCT
fumecheng-4792	331	16	springer	springer	NOUN
fumecheng-4792	331	17	,	,	PUNCT
fumecheng-4792	331	18	new	new	PROPN
fumecheng-4792	331	19	york	york	PROPN
fumecheng-4792	331	20	.	.	PROPN
fumecheng-4792	332	1	20	20	NUM
fumecheng-4792	332	2	.	.	PUNCT
fumecheng-4792	332	3	hahn	hahn	PROPN
fumecheng-4792	332	4	,	,	PUNCT
fumecheng-4792	332	5	h.	h.	PROPN
fumecheng-4792	332	6	,	,	PUNCT
fumecheng-4792	332	7	1985	1985	NUM
fumecheng-4792	332	8	,	,	PUNCT
fumecheng-4792	332	9	elastizitätstheorie	elastizitätstheorie	ADJ
fumecheng-4792	332	10	,	,	PUNCT
fumecheng-4792	332	11	vieweg	vieweg	VERB
fumecheng-4792	332	12	teubner	teubner	ADJ
fumecheng-4792	332	13	verlag	verlag	PROPN
fumecheng-4792	332	14	,	,	PUNCT
fumecheng-4792	332	15	wiesbaden	wiesbaden	PROPN
fumecheng-4792	332	16	.	.	PROPN
fumecheng-4792	333	1	21	21	NUM
fumecheng-4792	333	2	.	.	PUNCT
fumecheng-4792	334	1	pohrt	pohrt	PROPN
fumecheng-4792	334	2	,	,	PUNCT
fumecheng-4792	334	3	r.	r.	PROPN
fumecheng-4792	334	4	,	,	PUNCT
fumecheng-4792	334	5	li	li	PROPN
fumecheng-4792	334	6	,	,	PUNCT
fumecheng-4792	334	7	q.	q.	PROPN
fumecheng-4792	334	8	,	,	PUNCT
fumecheng-4792	334	9	2014	2014	NUM
fumecheng-4792	334	10	,	,	PUNCT
fumecheng-4792	334	11	complete	complete	ADJ
fumecheng-4792	334	12	boundary	boundary	ADJ
fumecheng-4792	334	13	element	element	NOUN
fumecheng-4792	334	14	formulation	formulation	NOUN
fumecheng-4792	334	15	for	for	ADP
fumecheng-4792	334	16	normal	normal	ADJ
fumecheng-4792	334	17	and	and	CCONJ
fumecheng-4792	334	18	tangential	tangential	ADJ
fumecheng-4792	334	19	contact	contact	NOUN
fumecheng-4792	334	20	problems	problem	NOUN
fumecheng-4792	334	21	,	,	PUNCT
fumecheng-4792	334	22	physical	physical	ADJ
fumecheng-4792	334	23	mesomechanics	mesomechanic	NOUN
fumecheng-4792	334	24	,	,	PUNCT
fumecheng-4792	334	25	17(4	17(4	NUM
fumecheng-4792	334	26	)	)	PUNCT
fumecheng-4792	334	27	,	,	PUNCT
fumecheng-4792	335	1	pp	pp	PROPN
fumecheng-4792	335	2	.	.	PUNCT
fumecheng-4792	336	1	334	334	NUM
fumecheng-4792	336	2	-	-	SYM
fumecheng-4792	336	3	340	340	NUM
fumecheng-4792	336	4	.	.	PUNCT
fumecheng-4792	337	1	22	22	NUM
fumecheng-4792	337	2	.	.	PUNCT
fumecheng-4792	338	1	johnson	johnson	PROPN
fumecheng-4792	338	2	,	,	PUNCT
fumecheng-4792	338	3	k.	k.	PROPN
fumecheng-4792	338	4	,	,	PUNCT
fumecheng-4792	338	5	2003	2003	NUM
fumecheng-4792	338	6	,	,	PUNCT
fumecheng-4792	338	7	contact	contact	NOUN
fumecheng-4792	338	8	mechanics	mechanic	NOUN
fumecheng-4792	338	9	,	,	PUNCT
fumecheng-4792	338	10	cambridge	cambridge	PROPN
fumecheng-4792	338	11	university	university	PROPN
fumecheng-4792	338	12	press	press	NOUN
fumecheng-4792	338	13	.	.	PUNCT
fumecheng-4792	339	1	23	23	NUM
fumecheng-4792	339	2	.	.	PUNCT
fumecheng-4792	339	3	coulomb	coulomb	PROPN
fumecheng-4792	339	4	,	,	PUNCT
fumecheng-4792	339	5	c.	c.	NOUN
fumecheng-4792	339	6	,	,	PUNCT
fumecheng-4792	339	7	1821	1821	NUM
fumecheng-4792	339	8	,	,	PUNCT
fumecheng-4792	339	9	theorie	theorie	PROPN
fumecheng-4792	339	10	des	des	PROPN
fumecheng-4792	339	11	machines	machines	PROPN
fumecheng-4792	339	12	simple	simple	ADJ
fumecheng-4792	339	13	,	,	PUNCT
fumecheng-4792	339	14	bachelier	bachelier	NOUN
fumecheng-4792	339	15	,	,	PUNCT
fumecheng-4792	339	16	paris	paris	PROPN
fumecheng-4792	339	17	.	.	PUNCT
fumecheng-4792	340	1	24	24	NUM
fumecheng-4792	340	2	.	.	PUNCT
fumecheng-4792	341	1	gao	gao	PROPN
fumecheng-4792	341	2	,	,	PUNCT
fumecheng-4792	341	3	h.	h.	PROPN
fumecheng-4792	341	4	,	,	PUNCT
fumecheng-4792	341	5	1991	1991	NUM
fumecheng-4792	341	6	,	,	PUNCT
fumecheng-4792	341	7	stress	stress	NOUN
fumecheng-4792	341	8	concentration	concentration	NOUN
fumecheng-4792	341	9	at	at	ADP
fumecheng-4792	341	10	slightly	slightly	ADV
fumecheng-4792	341	11	undulating	undulate	VERB
fumecheng-4792	341	12	surfaces	surface	NOUN
fumecheng-4792	341	13	,	,	PUNCT
fumecheng-4792	341	14	journal	journal	NOUN
fumecheng-4792	341	15	of	of	ADP
fumecheng-4792	341	16	the	the	DET
fumecheng-4792	341	17	mechanics	mechanic	NOUN
fumecheng-4792	341	18	and	and	CCONJ
fumecheng-4792	341	19	physics	physic	NOUN
fumecheng-4792	341	20	of	of	ADP
fumecheng-4792	341	21	solids	solid	NOUN
fumecheng-4792	341	22	,	,	PUNCT
fumecheng-4792	341	23	39(4	39(4	NOUN
fumecheng-4792	341	24	)	)	PUNCT
fumecheng-4792	341	25	,	,	PUNCT
fumecheng-4792	341	26	pp	pp	PROPN
fumecheng-4792	341	27	.	.	PUNCT
fumecheng-4792	342	1	443	443	NUM
fumecheng-4792	342	2	-	-	SYM
fumecheng-4792	342	3	458	458	NUM
fumecheng-4792	342	4	.	.	PUNCT
fumecheng-4792	343	1	25	25	NUM
fumecheng-4792	343	2	.	.	PUNCT
fumecheng-4792	343	3	phillips	phillips	PROPN
fumecheng-4792	343	4	,	,	PUNCT
fumecheng-4792	343	5	j.	j.	PROPN
fumecheng-4792	343	6	,	,	PUNCT
fumecheng-4792	343	7	white	white	PROPN
fumecheng-4792	343	8	,	,	PUNCT
fumecheng-4792	343	9	k.	k.	PROPN
fumecheng-4792	343	10	,	,	PUNCT
fumecheng-4792	343	11	1997	1997	NUM
fumecheng-4792	343	12	,	,	PUNCT
fumecheng-4792	343	13	a	a	DET
fumecheng-4792	343	14	precorrected	precorrecte	VERB
fumecheng-4792	343	15	fft	fft	NOUN
fumecheng-4792	343	16	-	-	NOUN
fumecheng-4792	343	17	method	method	NOUN
fumecheng-4792	343	18	for	for	ADP
fumecheng-4792	343	19	electrostatic	electrostatic	ADJ
fumecheng-4792	343	20	analysis	analysis	NOUN
fumecheng-4792	343	21	of	of	ADP
fumecheng-4792	343	22	complicated	complicated	ADJ
fumecheng-4792	343	23	3	3	NUM
fumecheng-4792	343	24	-	-	PUNCT
fumecheng-4792	343	25	d	d	NOUN
fumecheng-4792	343	26	structues	structue	NOUN
fumecheng-4792	343	27	,	,	PUNCT
fumecheng-4792	343	28	ieee	ieee	NOUN
fumecheng-4792	343	29	transactions	transaction	NOUN
fumecheng-4792	343	30	on	on	ADP
fumecheng-4792	343	31	computer	computer	NOUN
fumecheng-4792	343	32	-	-	PUNCT
fumecheng-4792	343	33	aided	aid	VERB
fumecheng-4792	343	34	design	design	NOUN
fumecheng-4792	343	35	of	of	ADP
fumecheng-4792	343	36	integrated	integrated	ADJ
fumecheng-4792	343	37	circuits	circuit	NOUN
fumecheng-4792	343	38	and	and	CCONJ
fumecheng-4792	343	39	systems	system	NOUN
fumecheng-4792	343	40	,	,	PUNCT
fumecheng-4792	343	41	16(10	16(10	NOUN
fumecheng-4792	343	42	)	)	PUNCT
fumecheng-4792	343	43	,	,	PUNCT
fumecheng-4792	343	44	pp	pp	ADP
fumecheng-4792	343	45	.	.	PUNCT
fumecheng-4792	344	1	1059	1059	NUM
fumecheng-4792	344	2	-	-	SYM
fumecheng-4792	344	3	1072	1072	NUM
fumecheng-4792	344	4	.	.	PUNCT
fumecheng-4792	345	1	26	26	NUM
fumecheng-4792	345	2	.	.	PUNCT
fumecheng-4792	345	3	masters	master	NOUN
fumecheng-4792	345	4	,	,	PUNCT
fumecheng-4792	345	5	n.	n.	NOUN
fumecheng-4792	345	6	,	,	PUNCT
fumecheng-4792	345	7	ye	ye	PROPN
fumecheng-4792	345	8	,	,	PUNCT
fumecheng-4792	345	9	w.	w.	NOUN
fumecheng-4792	345	10	,	,	PUNCT
fumecheng-4792	345	11	2004	2004	NUM
fumecheng-4792	345	12	,	,	PUNCT
fumecheng-4792	345	13	fast	fast	ADJ
fumecheng-4792	345	14	bem	bem	NOUN
fumecheng-4792	345	15	solution	solution	NOUN
fumecheng-4792	345	16	for	for	ADP
fumecheng-4792	345	17	coupled	couple	VERB
fumecheng-4792	345	18	electrostatic	electrostatic	ADJ
fumecheng-4792	345	19	and	and	CCONJ
fumecheng-4792	345	20	linear	linear	ADJ
fumecheng-4792	345	21	elastic	elastic	ADJ
fumecheng-4792	345	22	problems	problem	NOUN
fumecheng-4792	345	23	,	,	PUNCT
fumecheng-4792	345	24	nsti	nsti	NOUN
fumecheng-4792	345	25	-	-	PUNCT
fumecheng-4792	345	26	nanotech	nanotech	NOUN
fumecheng-4792	345	27	,	,	PUNCT
fumecheng-4792	345	28	2	2	NUM
fumecheng-4792	345	29	,	,	PUNCT
fumecheng-4792	345	30	pp	pp	ADJ
fumecheng-4792	345	31	.	.	PUNCT
fumecheng-4792	345	32	426	426	NUM
fumecheng-4792	345	33	-	-	SYM
fumecheng-4792	345	34	429	429	NUM
fumecheng-4792	345	35	.	.	PUNCT
fumecheng-4792	345	36	27	27	NUM
fumecheng-4792	345	37	.	.	PUNCT
fumecheng-4792	346	1	lim	lim	PROPN
fumecheng-4792	346	2	,	,	PUNCT
fumecheng-4792	346	3	k.	k.	PROPN
fumecheng-4792	346	4	,	,	PUNCT
fumecheng-4792	346	5	he	he	PRON
fumecheng-4792	346	6	,	,	PUNCT
fumecheng-4792	346	7	x.	x.	PROPN
fumecheng-4792	346	8	,	,	PUNCT
fumecheng-4792	346	9	lim	lim	PROPN
fumecheng-4792	346	10	,	,	PUNCT
fumecheng-4792	346	11	s.	s.	PROPN
fumecheng-4792	346	12	,	,	PUNCT
fumecheng-4792	346	13	2008	2008	NUM
fumecheng-4792	346	14	,	,	PUNCT
fumecheng-4792	346	15	fast	fast	ADJ
fumecheng-4792	346	16	fourier	fourier	NOUN
fumecheng-4792	346	17	transform	transform	NOUN
fumecheng-4792	346	18	on	on	ADP
fumecheng-4792	346	19	multipoles	multipole	NOUN
fumecheng-4792	346	20	(	(	PUNCT
fumecheng-4792	346	21	fftm	fftm	NOUN
fumecheng-4792	346	22	)	)	PUNCT
fumecheng-4792	346	23	algorithm	algorithm	NOUN
fumecheng-4792	346	24	for	for	ADP
fumecheng-4792	346	25	laplace	laplace	NOUN
fumecheng-4792	346	26	equation	equation	NOUN
fumecheng-4792	346	27	with	with	ADP
fumecheng-4792	346	28	direct	direct	ADJ
fumecheng-4792	346	29	and	and	CCONJ
fumecheng-4792	346	30	indirect	indirect	ADJ
fumecheng-4792	346	31	boundary	boundary	ADJ
fumecheng-4792	346	32	element	element	NOUN
fumecheng-4792	346	33	method	method	NOUN
fumecheng-4792	346	34	,	,	PUNCT
fumecheng-4792	346	35	computational	computational	ADJ
fumecheng-4792	346	36	mechanics	mechanic	NOUN
fumecheng-4792	346	37	,	,	PUNCT
fumecheng-4792	346	38	41	41	NUM
fumecheng-4792	346	39	,	,	PUNCT
fumecheng-4792	346	40	pp	pp	ADJ
fumecheng-4792	346	41	.	.	PUNCT
fumecheng-4792	347	1	313	313	NUM
fumecheng-4792	347	2	-	-	SYM
fumecheng-4792	347	3	323	323	NUM
fumecheng-4792	347	4	.	.	PUNCT
fumecheng-4792	348	1	28	28	NUM
fumecheng-4792	348	2	.	.	PUNCT
fumecheng-4792	349	1	benedetti	benedetti	PROPN
fumecheng-4792	349	2	,	,	PUNCT
fumecheng-4792	349	3	i.	i.	PROPN
fumecheng-4792	349	4	,	,	PUNCT
fumecheng-4792	349	5	aliabadi	aliabadi	NOUN
fumecheng-4792	349	6	,	,	PUNCT
fumecheng-4792	349	7	m.	m.	NOUN
fumecheng-4792	349	8	,	,	PUNCT
fumecheng-4792	349	9	davi	davi	PROPN
fumecheng-4792	349	10	,	,	PUNCT
fumecheng-4792	349	11	g.	g.	PROPN
fumecheng-4792	349	12	,	,	PUNCT
fumecheng-4792	349	13	2008	2008	NUM
fumecheng-4792	349	14	,	,	PUNCT
fumecheng-4792	349	15	a	a	DET
fumecheng-4792	349	16	fast	fast	ADJ
fumecheng-4792	349	17	3d	3d	NOUN
fumecheng-4792	349	18	dual	dual	ADJ
fumecheng-4792	349	19	boundary	boundary	ADJ
fumecheng-4792	349	20	element	element	NOUN
fumecheng-4792	349	21	method	method	NOUN
fumecheng-4792	349	22	based	base	VERB
fumecheng-4792	349	23	on	on	ADP
fumecheng-4792	349	24	hierarchical	hierarchical	ADJ
fumecheng-4792	349	25	matrices	matrix	NOUN
fumecheng-4792	349	26	,	,	PUNCT
fumecheng-4792	349	27	international	international	ADJ
fumecheng-4792	349	28	journal	journal	NOUN
fumecheng-4792	349	29	of	of	ADP
fumecheng-4792	349	30	solids	solid	NOUN
fumecheng-4792	349	31	and	and	CCONJ
fumecheng-4792	349	32	structures	structure	NOUN
fumecheng-4792	349	33	,	,	PUNCT
fumecheng-4792	349	34	45(7	45(7	NUM
fumecheng-4792	349	35	-	-	SYM
fumecheng-4792	349	36	8)	8)	NUM
fumecheng-4792	349	37	,	,	PUNCT
fumecheng-4792	349	38	pp	pp	ADJ
fumecheng-4792	349	39	.	.	PUNCT
fumecheng-4792	349	40	2355	2355	NUM
fumecheng-4792	349	41	-	-	SYM
fumecheng-4792	349	42	2376	2376	NUM
fumecheng-4792	349	43	.	.	PUNCT
fumecheng-4792	350	1	29	29	NUM
fumecheng-4792	350	2	.	.	PUNCT
fumecheng-4792	350	3	irgens	irgens	PROPN
fumecheng-4792	350	4	,	,	PUNCT
fumecheng-4792	350	5	f.	f.	PROPN
fumecheng-4792	350	6	,	,	PUNCT
fumecheng-4792	350	7	2008	2008	NUM
fumecheng-4792	350	8	,	,	PUNCT
fumecheng-4792	350	9	theory	theory	NOUN
fumecheng-4792	350	10	of	of	ADP
fumecheng-4792	350	11	elasticity	elasticity	NOUN
fumecheng-4792	350	12	,	,	PUNCT
fumecheng-4792	350	13	continuum	continuum	ADJ
fumecheng-4792	350	14	mechanics	mechanic	NOUN
fumecheng-4792	350	15	,	,	PUNCT
fumecheng-4792	350	16	springer	springer	NOUN
fumecheng-4792	350	17	,	,	PUNCT
fumecheng-4792	350	18	berlin	berlin	PROPN
fumecheng-4792	350	19	.	.	PUNCT
fumecheng-4792	351	1	30	30	NUM
fumecheng-4792	351	2	.	.	PUNCT
fumecheng-4792	352	1	galin	galin	PROPN
fumecheng-4792	352	2	,	,	PUNCT
fumecheng-4792	352	3	l.	l.	PROPN
fumecheng-4792	352	4	,	,	PUNCT
fumecheng-4792	352	5	2008	2008	NUM
fumecheng-4792	352	6	,	,	PUNCT
fumecheng-4792	352	7	plane	plane	NOUN
fumecheng-4792	352	8	elasticity	elasticity	NOUN
fumecheng-4792	352	9	theory	theory	NOUN
fumecheng-4792	352	10	,	,	PUNCT
fumecheng-4792	352	11	contact	contact	NOUN
fumecheng-4792	352	12	problems	problem	NOUN
fumecheng-4792	352	13	,	,	PUNCT
fumecheng-4792	352	14	g.	g.	PROPN
fumecheng-4792	352	15	gladwell	gladwell	PROPN
fumecheng-4792	352	16	,	,	PUNCT
fumecheng-4792	352	17	editor	editor	NOUN
fumecheng-4792	352	18	,	,	PUNCT
fumecheng-4792	352	19	springer	springer	NOUN
fumecheng-4792	352	20	,	,	PUNCT
fumecheng-4792	352	21	dordrecht	dordrecht	PROPN
fumecheng-4792	352	22	.	.	PUNCT
fumecheng-4792	353	1	31	31	NUM
fumecheng-4792	353	2	.	.	PUNCT
fumecheng-4792	354	1	kelly	kelly	PROPN
fumecheng-4792	354	2	,	,	PUNCT
fumecheng-4792	354	3	p.	p.	PROPN
fumecheng-4792	354	4	,	,	PUNCT
fumecheng-4792	354	5	2013	2013	NUM
fumecheng-4792	354	6	,	,	PUNCT
fumecheng-4792	354	7	linear	linear	ADJ
fumecheng-4792	354	8	elasticity	elasticity	NOUN
fumecheng-4792	354	9	,	,	PUNCT
fumecheng-4792	354	10	an	an	DET
fumecheng-4792	354	11	introduction	introduction	NOUN
fumecheng-4792	354	12	to	to	ADP
fumecheng-4792	354	13	solid	solid	ADJ
fumecheng-4792	354	14	mechanics	mechanic	NOUN
fumecheng-4792	354	15	(	(	PUNCT
fumecheng-4792	354	16	lecture	lecture	NOUN
fumecheng-4792	354	17	notes	note	NOUN
fumecheng-4792	354	18	)	)	PUNCT
fumecheng-4792	354	19	,	,	PUNCT
fumecheng-4792	354	20	university	university	NOUN
fumecheng-4792	354	21	of	of	ADP
fumecheng-4792	354	22	auckland	auckland	PROPN
fumecheng-4792	354	23	.	.	PUNCT
fumecheng-4792	355	1	32	32	NUM
fumecheng-4792	355	2	.	.	PUNCT
fumecheng-4792	356	1	betti	betti	PROPN
fumecheng-4792	356	2	,	,	PUNCT
fumecheng-4792	356	3	e.	e.	PROPN
fumecheng-4792	356	4	,	,	PUNCT
fumecheng-4792	356	5	1872	1872	NUM
fumecheng-4792	356	6	,	,	PUNCT
fumecheng-4792	356	7	t	t	PROPN
fumecheng-4792	356	8	,	,	PUNCT
fumecheng-4792	356	9	il	il	PROPN
fumecheng-4792	356	10	nuovo	nuovo	PROPN
fumecheng-4792	356	11	cimento	cimento	PROPN
fumecheng-4792	356	12	,	,	PUNCT
fumecheng-4792	356	13	7(1	7(1	NUM
fumecheng-4792	356	14	)	)	PUNCT
fumecheng-4792	356	15	,	,	PUNCT
fumecheng-4792	356	16	pp	pp	PROPN
fumecheng-4792	356	17	.	.	PUNCT
fumecheng-4792	357	1	69	69	NUM
fumecheng-4792	357	2	-	-	SYM
fumecheng-4792	357	3	97	97	NUM
fumecheng-4792	357	4	.	.	PUNCT
fumecheng-4792	358	1	33	33	NUM
fumecheng-4792	358	2	.	.	PUNCT
fumecheng-4792	359	1	gaul	gaul	NOUN
fumecheng-4792	359	2	,	,	PUNCT
fumecheng-4792	359	3	l.	l.	PROPN
fumecheng-4792	359	4	,	,	PUNCT
fumecheng-4792	359	5	fiedler	fiedler	PROPN
fumecheng-4792	359	6	,	,	PUNCT
fumecheng-4792	359	7	c.	c.	PROPN
fumecheng-4792	359	8	,	,	PUNCT
fumecheng-4792	359	9	2013	2013	NUM
fumecheng-4792	359	10	,	,	PUNCT
fumecheng-4792	359	11	methode	methode	PROPN
fumecheng-4792	359	12	der	der	NOUN
fumecheng-4792	359	13	randelemente	randelemente	VERB
fumecheng-4792	359	14	in	in	ADP
fumecheng-4792	359	15	statik	statik	NOUN
fumecheng-4792	359	16	und	und	VERB
fumecheng-4792	359	17	dynamik	dynamik	ADJ
fumecheng-4792	359	18	,	,	PUNCT
fumecheng-4792	359	19	2	2	NUM
fumecheng-4792	359	20	ed	ed	NOUN
fumecheng-4792	359	21	,	,	PUNCT
fumecheng-4792	359	22	springer	springer	NOUN
fumecheng-4792	359	23	,	,	PUNCT
fumecheng-4792	359	24	berlin	berlin	PROPN
fumecheng-4792	359	25	.	.	PUNCT
fumecheng-4792	360	1	34	34	NUM
fumecheng-4792	360	2	.	.	PUNCT
fumecheng-4792	360	3	gross	gross	PROPN
fumecheng-4792	360	4	,	,	PUNCT
fumecheng-4792	360	5	d.	d.	PROPN
fumecheng-4792	360	6	,	,	PUNCT
fumecheng-4792	360	7	hauger	hauger	NOUN
fumecheng-4792	360	8	,	,	PUNCT
fumecheng-4792	360	9	w.	w.	PROPN
fumecheng-4792	360	10	,	,	PUNCT
fumecheng-4792	360	11	wriggers	wrigger	NOUN
fumecheng-4792	360	12	,	,	PUNCT
fumecheng-4792	360	13	p.	p.	NOUN
fumecheng-4792	360	14	,	,	PUNCT
fumecheng-4792	360	15	2014	2014	NUM
fumecheng-4792	360	16	,	,	PUNCT
fumecheng-4792	360	17	technische	technische	PROPN
fumecheng-4792	360	18	mechanik	mechanik	X
fumecheng-4792	360	19	4	4	NUM
fumecheng-4792	360	20	,	,	PUNCT
fumecheng-4792	360	21	9	9	NUM
fumecheng-4792	360	22	ed	ed	NOUN
fumecheng-4792	360	23	,	,	PUNCT
fumecheng-4792	360	24	springer	springer	NOUN
fumecheng-4792	360	25	,	,	PUNCT
fumecheng-4792	360	26	berlin	berlin	PROPN
fumecheng-4792	360	27	.	.	PUNCT