id	sid	tid	token	lemma	pos
fis-1451	1	1	microsoft	microsoft	PROPN
fis-1451	1	2	word	word	PROPN
fis-1451	1	3	numero_32_art_3	numero_32_art_3	PROPN
fis-1451	1	4	i.	i.	PROPN
fis-1451	1	5	telichev	telichev	PROPN
fis-1451	1	6	,	,	PUNCT
fis-1451	1	7	frattura	frattura	PROPN
fis-1451	1	8	ed	ed	PROPN
fis-1451	1	9	integrità	integrità	PROPN
fis-1451	1	10	strutturale	strutturale	PROPN
fis-1451	1	11	,	,	PUNCT
fis-1451	1	12	32	32	NUM
fis-1451	1	13	(	(	PUNCT
fis-1451	1	14	2015	2015	NUM
fis-1451	1	15	)	)	PUNCT
fis-1451	1	16	24	24	NUM
fis-1451	1	17	-	-	SYM
fis-1451	1	18	34	34	NUM
fis-1451	1	19	;	;	PUNCT
fis-1451	1	20	doi	doi	NOUN
fis-1451	1	21	:	:	PUNCT
fis-1451	1	22	10.3221	10.3221	NUM
fis-1451	1	23	/	/	SYM
fis-1451	1	24	igf	igf	PROPN
fis-1451	1	25	-	-	PUNCT
fis-1451	1	26	esis.32.03	esis.32.03	ADJ
fis-1451	1	27	24	24	NUM
fis-1451	1	28	development	development	NOUN
fis-1451	1	29	of	of	ADP
fis-1451	1	30	an	an	DET
fis-1451	1	31	engineering	engineering	NOUN
fis-1451	1	32	methodology	methodology	NOUN
fis-1451	1	33	for	for	ADP
fis-1451	1	34	non	non	ADJ
fis-1451	1	35	-	-	ADJ
fis-1451	1	36	linear	linear	ADJ
fis-1451	1	37	fracture	fracture	NOUN
fis-1451	1	38	analysis	analysis	NOUN
fis-1451	1	39	of	of	ADP
fis-1451	1	40	impact	impact	NOUN
fis-1451	1	41	-	-	PUNCT
fis-1451	1	42	damaged	damage	VERB
fis-1451	1	43	pressurized	pressurized	NOUN
fis-1451	1	44	spacecraft	spacecraft	NOUN
fis-1451	1	45	structures	structure	NOUN
fis-1451	1	46	igor	igor	PROPN
fis-1451	1	47	telichev	telichev	PROPN
fis-1451	1	48	university	university	PROPN
fis-1451	1	49	of	of	ADP
fis-1451	1	50	manitoba	manitoba	PROPN
fis-1451	1	51	,	,	PUNCT
fis-1451	1	52	department	department	NOUN
fis-1451	1	53	of	of	ADP
fis-1451	1	54	mechanical	mechanical	ADJ
fis-1451	1	55	engineering	engineering	NOUN
fis-1451	1	56	,	,	PUNCT
fis-1451	1	57	75a	75a	NUM
fis-1451	1	58	chancellors	chancellor	NOUN
fis-1451	1	59	circle	circle	PROPN
fis-1451	1	60	,	,	PUNCT
fis-1451	1	61	e2	e2	PROPN
fis-1451	1	62	-	-	PUNCT
fis-1451	1	63	327	327	NUM
fis-1451	1	64	eitc	eitc	NOUN
fis-1451	1	65	,	,	PUNCT
fis-1451	1	66	winnipeg	winnipeg	PROPN
fis-1451	1	67	,	,	PUNCT
fis-1451	1	68	manitoba	manitoba	PROPN
fis-1451	1	69	r3	r3	PROPN
fis-1451	1	70	t	t	PROPN
fis-1451	1	71	5v6	5v6	NUM
fis-1451	1	72	,	,	PUNCT
fis-1451	1	73	canada	canada	PROPN
fis-1451	1	74	.	.	PUNCT
fis-1451	2	1	igor.telichev@umanitoba.ca	igor.telichev@umanitoba.ca	PROPN
fis-1451	2	2	abstract	abstract	PROPN
fis-1451	2	3	.	.	PUNCT
fis-1451	3	1	motivated	motivate	VERB
fis-1451	3	2	by	by	ADP
fis-1451	3	3	the	the	DET
fis-1451	3	4	dramatic	dramatic	ADJ
fis-1451	3	5	worsening	worsening	NOUN
fis-1451	3	6	and	and	CCONJ
fis-1451	3	7	uncertainty	uncertainty	NOUN
fis-1451	3	8	of	of	ADP
fis-1451	3	9	orbital	orbital	ADJ
fis-1451	3	10	debris	debris	NOUN
fis-1451	3	11	situation	situation	NOUN
fis-1451	3	12	,	,	PUNCT
fis-1451	3	13	the	the	DET
fis-1451	3	14	present	present	ADJ
fis-1451	3	15	paper	paper	NOUN
fis-1451	3	16	is	be	AUX
fis-1451	3	17	focused	focus	VERB
fis-1451	3	18	on	on	ADP
fis-1451	3	19	the	the	DET
fis-1451	3	20	structural	structural	ADJ
fis-1451	3	21	integrity	integrity	NOUN
fis-1451	3	22	of	of	ADP
fis-1451	3	23	the	the	DET
fis-1451	3	24	spacecraft	spacecraft	NOUN
fis-1451	3	25	pressurized	pressurized	NOUN
fis-1451	3	26	modules	module	NOUN
fis-1451	3	27	/	/	SYM
fis-1451	3	28	pressure	pressure	NOUN
fis-1451	3	29	vessels	vessel	NOUN
fis-1451	3	30	.	.	PUNCT
fis-1451	4	1	the	the	DET
fis-1451	4	2	objective	objective	NOUN
fis-1451	4	3	is	be	AUX
fis-1451	4	4	to	to	PART
fis-1451	4	5	develop	develop	VERB
fis-1451	4	6	an	an	DET
fis-1451	4	7	engineering	engineering	NOUN
fis-1451	4	8	methodology	methodology	NOUN
fis-1451	4	9	for	for	ADP
fis-1451	4	10	non	non	ADJ
fis-1451	4	11	-	-	ADJ
fis-1451	4	12	linear	linear	ADJ
fis-1451	4	13	fracture	fracture	NOUN
fis-1451	4	14	analysis	analysis	NOUN
fis-1451	4	15	of	of	ADP
fis-1451	4	16	pressure	pressure	NOUN
fis-1451	4	17	wall	wall	NOUN
fis-1451	4	18	damaged	damage	VERB
fis-1451	4	19	by	by	ADP
fis-1451	4	20	orbital	orbital	ADJ
fis-1451	4	21	debris	debris	NOUN
fis-1451	4	22	impact	impact	NOUN
fis-1451	4	23	.	.	PUNCT
fis-1451	5	1	this	this	DET
fis-1451	5	2	methodology	methodology	NOUN
fis-1451	5	3	is	be	AUX
fis-1451	5	4	viewed	view	VERB
fis-1451	5	5	as	as	ADP
fis-1451	5	6	a	a	DET
fis-1451	5	7	key	key	ADJ
fis-1451	5	8	element	element	NOUN
fis-1451	5	9	in	in	ADP
fis-1451	5	10	the	the	DET
fis-1451	5	11	survivability	survivability	NOUN
fis-1451	5	12	-	-	PUNCT
fis-1451	5	13	driven	drive	VERB
fis-1451	5	14	spacecraft	spacecraft	NOUN
fis-1451	5	15	design	design	NOUN
fis-1451	5	16	procedure	procedure	NOUN
fis-1451	5	17	providing	provide	VERB
fis-1451	5	18	that	that	SCONJ
fis-1451	5	19	under	under	ADP
fis-1451	5	20	no	no	DET
fis-1451	5	21	circumstances	circumstance	NOUN
fis-1451	5	22	will	will	AUX
fis-1451	5	23	the	the	DET
fis-1451	5	24	“	"	PUNCT
fis-1451	5	25	unzipping	unzipping	NOUN
fis-1451	5	26	”	"	PUNCT
fis-1451	5	27	occur	occur	NOUN
fis-1451	5	28	.	.	PUNCT
fis-1451	6	1	the	the	DET
fis-1451	6	2	analysis	analysis	NOUN
fis-1451	6	3	employs	employ	VERB
fis-1451	6	4	the	the	DET
fis-1451	6	5	method	method	NOUN
fis-1451	6	6	of	of	ADP
fis-1451	6	7	singular	singular	ADJ
fis-1451	6	8	integral	integral	ADJ
fis-1451	6	9	equation	equation	NOUN
fis-1451	6	10	to	to	PART
fis-1451	6	11	study	study	VERB
fis-1451	6	12	the	the	DET
fis-1451	6	13	burst	burst	ADJ
fis-1451	6	14	conditions	condition	NOUN
fis-1451	6	15	of	of	ADP
fis-1451	6	16	habitable	habitable	ADJ
fis-1451	6	17	modules	module	NOUN
fis-1451	6	18	,	,	PUNCT
fis-1451	6	19	although	although	SCONJ
fis-1451	6	20	smaller	small	ADJ
fis-1451	6	21	vessels	vessel	NOUN
fis-1451	6	22	containing	contain	VERB
fis-1451	6	23	gases	gas	NOUN
fis-1451	6	24	at	at	ADP
fis-1451	6	25	higher	high	ADJ
fis-1451	6	26	pressures	pressure	NOUN
fis-1451	6	27	can	can	AUX
fis-1451	6	28	also	also	ADV
fis-1451	6	29	be	be	AUX
fis-1451	6	30	analyzed	analyze	VERB
fis-1451	6	31	.	.	PUNCT
fis-1451	7	1	keywords	keyword	NOUN
fis-1451	7	2	.	.	PUNCT
fis-1451	8	1	orbital	orbital	ADJ
fis-1451	8	2	debris	debris	NOUN
fis-1451	8	3	;	;	PUNCT
fis-1451	8	4	impact	impact	NOUN
fis-1451	8	5	damage	damage	NOUN
fis-1451	8	6	;	;	PUNCT
fis-1451	8	7	pressurized	pressurized	ADJ
fis-1451	8	8	structure	structure	NOUN
fis-1451	8	9	;	;	PUNCT
fis-1451	8	10	singular	singular	ADJ
fis-1451	8	11	integral	integral	ADJ
fis-1451	8	12	equation	equation	NOUN
fis-1451	8	13	method	method	NOUN
fis-1451	8	14	.	.	PUNCT
fis-1451	9	1	introduction	introduction	NOUN
fis-1451	9	2	he	he	PRON
fis-1451	9	3	hazard	hazard	ADV
fis-1451	9	4	from	from	ADP
fis-1451	9	5	orbital	orbital	ADJ
fis-1451	9	6	debris	debris	NOUN
fis-1451	9	7	is	be	AUX
fis-1451	9	8	a	a	DET
fis-1451	9	9	growing	grow	VERB
fis-1451	9	10	international	international	ADJ
fis-1451	9	11	concern	concern	NOUN
fis-1451	9	12	for	for	ADP
fis-1451	9	13	the	the	DET
fis-1451	9	14	safety	safety	NOUN
fis-1451	9	15	of	of	ADP
fis-1451	9	16	space	space	NOUN
fis-1451	9	17	-	-	PUNCT
fis-1451	9	18	based	base	VERB
fis-1451	9	19	infrastructure	infrastructure	NOUN
fis-1451	9	20	.	.	PUNCT
fis-1451	10	1	the	the	DET
fis-1451	10	2	series	series	NOUN
fis-1451	10	3	of	of	ADP
fis-1451	10	4	incidents	incident	NOUN
fis-1451	10	5	happened	happen	VERB
fis-1451	10	6	in	in	ADP
fis-1451	10	7	last	last	ADJ
fis-1451	10	8	six	six	NUM
fis-1451	10	9	years	year	NOUN
fis-1451	10	10	demonstrated	demonstrate	VERB
fis-1451	10	11	that	that	SCONJ
fis-1451	10	12	only	only	ADV
fis-1451	10	13	one	one	NUM
fis-1451	10	14	or	or	CCONJ
fis-1451	10	15	two	two	NUM
fis-1451	10	16	collisions	collision	NOUN
fis-1451	10	17	can	can	AUX
fis-1451	10	18	drastically	drastically	ADV
fis-1451	10	19	change	change	VERB
fis-1451	10	20	the	the	DET
fis-1451	10	21	orbital	orbital	ADJ
fis-1451	10	22	debris	debris	NOUN
fis-1451	10	23	population	population	NOUN
fis-1451	10	24	.	.	PUNCT
fis-1451	11	1	with	with	ADP
fis-1451	11	2	space	space	NOUN
fis-1451	11	3	activity	activity	NOUN
fis-1451	11	4	continuously	continuously	ADV
fis-1451	11	5	running	run	VERB
fis-1451	11	6	and	and	CCONJ
fis-1451	11	7	expanding	expand	VERB
fis-1451	11	8	,	,	PUNCT
fis-1451	11	9	the	the	DET
fis-1451	11	10	rate	rate	NOUN
fis-1451	11	11	of	of	ADP
fis-1451	11	12	collisions	collision	NOUN
fis-1451	11	13	in	in	ADP
fis-1451	11	14	space	space	NOUN
fis-1451	11	15	also	also	ADV
fis-1451	11	16	increases	increase	VERB
fis-1451	11	17	,	,	PUNCT
fis-1451	11	18	leading	lead	VERB
fis-1451	11	19	in	in	ADP
fis-1451	11	20	turn	turn	NOUN
fis-1451	11	21	to	to	ADP
fis-1451	11	22	a	a	DET
fis-1451	11	23	new	new	ADJ
fis-1451	11	24	reality	reality	NOUN
fis-1451	11	25	for	for	ADP
fis-1451	11	26	the	the	DET
fis-1451	11	27	orbital	orbital	ADJ
fis-1451	11	28	debris	debris	NOUN
fis-1451	11	29	environment	environment	NOUN
fis-1451	11	30	where	where	SCONJ
fis-1451	11	31	all	all	DET
fis-1451	11	32	functioning	function	VERB
fis-1451	11	33	spacecraft	spacecraft	NOUN
fis-1451	11	34	are	be	AUX
fis-1451	11	35	under	under	ADP
fis-1451	11	36	higher	high	ADJ
fis-1451	11	37	risk	risk	NOUN
fis-1451	11	38	than	than	SCONJ
fis-1451	11	39	they	they	PRON
fis-1451	11	40	were	be	AUX
fis-1451	11	41	designed	design	VERB
fis-1451	11	42	for	for	ADP
fis-1451	11	43	.	.	PUNCT
fis-1451	12	1	because	because	SCONJ
fis-1451	12	2	of	of	ADP
fis-1451	12	3	the	the	DET
fis-1451	12	4	very	very	ADV
fis-1451	12	5	high	high	ADJ
fis-1451	12	6	impact	impact	NOUN
fis-1451	12	7	velocities	velocity	NOUN
fis-1451	12	8	and	and	CCONJ
fis-1451	12	9	possibility	possibility	NOUN
fis-1451	12	10	to	to	PART
fis-1451	12	11	fail	fail	VERB
fis-1451	12	12	catastrophically	catastrophically	ADV
fis-1451	12	13	when	when	SCONJ
fis-1451	12	14	impacted	impact	VERB
fis-1451	12	15	,	,	PUNCT
fis-1451	12	16	the	the	DET
fis-1451	12	17	pressurized	pressurized	NOUN
fis-1451	12	18	modules	module	NOUN
fis-1451	12	19	and	and	CCONJ
fis-1451	12	20	pressure	pressure	NOUN
fis-1451	12	21	vessels	vessel	NOUN
fis-1451	12	22	play	play	VERB
fis-1451	12	23	a	a	DET
fis-1451	12	24	crucial	crucial	ADJ
fis-1451	12	25	role	role	NOUN
fis-1451	12	26	in	in	ADP
fis-1451	12	27	spacecraft	spacecraft	NOUN
fis-1451	12	28	survivability	survivability	NOUN
fis-1451	12	29	.	.	PUNCT
fis-1451	13	1	they	they	PRON
fis-1451	13	2	are	be	AUX
fis-1451	13	3	identified	identify	VERB
fis-1451	13	4	as	as	ADP
fis-1451	13	5	the	the	DET
fis-1451	13	6	most	most	ADV
fis-1451	13	7	critical	critical	ADJ
fis-1451	13	8	components	component	NOUN
fis-1451	13	9	on	on	ADP
fis-1451	13	10	-	-	PUNCT
fis-1451	13	11	board	board	NOUN
fis-1451	13	12	spacecraft	spacecraft	NOUN
fis-1451	13	13	[	[	X
fis-1451	13	14	1	1	NUM
fis-1451	13	15	-	-	SYM
fis-1451	13	16	3	3	NUM
fis-1451	13	17	]	]	PUNCT
fis-1451	13	18	.	.	PUNCT
fis-1451	14	1	historically	historically	ADV
fis-1451	14	2	,	,	PUNCT
fis-1451	14	3	considerable	considerable	ADJ
fis-1451	14	4	amounts	amount	NOUN
fis-1451	14	5	of	of	ADP
fis-1451	14	6	resources	resource	NOUN
fis-1451	14	7	have	have	AUX
fis-1451	14	8	been	be	AUX
fis-1451	14	9	used	use	VERB
fis-1451	14	10	to	to	ADP
fis-1451	14	11	developing	develop	VERB
fis-1451	14	12	anti	anti	ADJ
fis-1451	14	13	-	-	ADJ
fis-1451	14	14	orbital	orbital	ADJ
fis-1451	14	15	-	-	PUNCT
fis-1451	14	16	debris	debris	NOUN
fis-1451	14	17	shielding	shielding	NOUN
fis-1451	14	18	for	for	ADP
fis-1451	14	19	such	such	ADJ
fis-1451	14	20	structures	structure	NOUN
fis-1451	14	21	to	to	PART
fis-1451	14	22	avoid	avoid	VERB
fis-1451	14	23	the	the	DET
fis-1451	14	24	pressure	pressure	NOUN
fis-1451	14	25	wall	wall	NOUN
fis-1451	14	26	damage	damage	NOUN
fis-1451	14	27	.	.	PUNCT
fis-1451	15	1	however	however	ADV
fis-1451	15	2	,	,	PUNCT
fis-1451	15	3	the	the	DET
fis-1451	15	4	shielding	shielding	NOUN
fis-1451	15	5	can	can	AUX
fis-1451	15	6	not	not	PART
fis-1451	15	7	protect	protect	VERB
fis-1451	15	8	the	the	DET
fis-1451	15	9	spacecraft	spacecraft	NOUN
fis-1451	15	10	from	from	ADP
fis-1451	15	11	all	all	DET
fis-1451	15	12	types	type	NOUN
fis-1451	15	13	of	of	ADP
fis-1451	15	14	debris	debris	NOUN
fis-1451	15	15	.	.	PUNCT
fis-1451	16	1	nowadays	nowadays	ADV
fis-1451	16	2	,	,	PUNCT
fis-1451	16	3	the	the	DET
fis-1451	16	4	pressurized	pressurized	ADJ
fis-1451	16	5	modules	module	NOUN
fis-1451	16	6	and	and	CCONJ
fis-1451	16	7	high	high	ADJ
fis-1451	16	8	pressure	pressure	NOUN
fis-1451	16	9	tanks	tank	NOUN
fis-1451	16	10	of	of	ADP
fis-1451	16	11	the	the	DET
fis-1451	16	12	most	most	ADV
fis-1451	16	13	heavily	heavily	ADV
fis-1451	16	14	shielded	shield	VERB
fis-1451	16	15	spacecrafts	spacecraft	NOUN
fis-1451	16	16	are	be	AUX
fis-1451	16	17	able	able	ADJ
fis-1451	16	18	to	to	PART
fis-1451	16	19	withstand	withstand	VERB
fis-1451	16	20	the	the	DET
fis-1451	16	21	impact	impact	NOUN
fis-1451	16	22	of	of	ADP
fis-1451	16	23	debris	debris	NOUN
fis-1451	16	24	up	up	ADP
fis-1451	16	25	to	to	ADP
fis-1451	16	26	one	one	NUM
fis-1451	16	27	centimeter	centimeter	NOUN
fis-1451	16	28	in	in	ADP
fis-1451	16	29	diameter	diameter	NOUN
fis-1451	16	30	.	.	PUNCT
fis-1451	17	1	the	the	DET
fis-1451	17	2	orbital	orbital	ADJ
fis-1451	17	3	debris	debris	NOUN
fis-1451	17	4	between	between	ADP
fis-1451	17	5	1	1	NUM
fis-1451	17	6	and	and	CCONJ
fis-1451	17	7	10	10	NUM
fis-1451	17	8	cm	cm	NOUN
fis-1451	17	9	in	in	ADP
fis-1451	17	10	size	size	NOUN
fis-1451	17	11	which	which	PRON
fis-1451	17	12	is	be	AUX
fis-1451	17	13	too	too	ADV
fis-1451	17	14	small	small	ADJ
fis-1451	17	15	to	to	PART
fis-1451	17	16	be	be	AUX
fis-1451	17	17	tracked	track	VERB
fis-1451	17	18	but	but	CCONJ
fis-1451	17	19	large	large	ADJ
fis-1451	17	20	enough	enough	ADV
fis-1451	17	21	to	to	PART
fis-1451	17	22	cause	cause	VERB
fis-1451	17	23	the	the	DET
fis-1451	17	24	shielded	shielded	ADJ
fis-1451	17	25	pressure	pressure	NOUN
fis-1451	17	26	wall	wall	NOUN
fis-1451	17	27	perforation	perforation	NOUN
fis-1451	17	28	,	,	PUNCT
fis-1451	17	29	poses	pose	VERB
fis-1451	17	30	the	the	DET
fis-1451	17	31	highest	high	ADJ
fis-1451	17	32	risk	risk	NOUN
fis-1451	17	33	for	for	ADP
fis-1451	17	34	the	the	DET
fis-1451	17	35	spacecraft	spacecraft	NOUN
fis-1451	17	36	mission	mission	NOUN
fis-1451	17	37	.	.	PUNCT
fis-1451	18	1	as	as	SCONJ
fis-1451	18	2	it	it	PRON
fis-1451	18	3	was	be	AUX
fis-1451	18	4	demonstrated	demonstrate	VERB
fis-1451	18	5	experimentally	experimentally	ADV
fis-1451	18	6	,	,	PUNCT
fis-1451	18	7	the	the	DET
fis-1451	18	8	case	case	NOUN
fis-1451	18	9	of	of	ADP
fis-1451	18	10	both	both	CCONJ
fis-1451	18	11	shield	shield	NOUN
fis-1451	18	12	and	and	CCONJ
fis-1451	18	13	pressurized	pressurize	VERB
fis-1451	18	14	wall	wall	NOUN
fis-1451	18	15	perforation	perforation	NOUN
fis-1451	18	16	presents	present	VERB
fis-1451	18	17	a	a	DET
fis-1451	18	18	potential	potential	NOUN
fis-1451	18	19	for	for	ADP
fis-1451	18	20	the	the	DET
fis-1451	18	21	pressure	pressure	NOUN
fis-1451	18	22	wall	wall	NOUN
fis-1451	18	23	failure	failure	NOUN
fis-1451	18	24	in	in	ADP
fis-1451	18	25	an	an	DET
fis-1451	18	26	abrupt	abrupt	ADJ
fis-1451	18	27	fashion	fashion	NOUN
fis-1451	18	28	[	[	X
fis-1451	18	29	1	1	NUM
fis-1451	18	30	-	-	SYM
fis-1451	18	31	4	4	NUM
fis-1451	18	32	]	]	PUNCT
fis-1451	18	33	.	.	PUNCT
fis-1451	19	1	the	the	DET
fis-1451	19	2	answer	answer	NOUN
fis-1451	19	3	to	to	ADP
fis-1451	19	4	the	the	DET
fis-1451	19	5	question	question	NOUN
fis-1451	19	6	whether	whether	SCONJ
fis-1451	19	7	the	the	DET
fis-1451	19	8	spacecraft	spacecraft	NOUN
fis-1451	19	9	pressurized	pressurized	NOUN
fis-1451	19	10	structure	structure	NOUN
fis-1451	19	11	would	would	AUX
fis-1451	19	12	undergo	undergo	VERB
fis-1451	19	13	“	"	PUNCT
fis-1451	19	14	unzipping	unzip	VERB
fis-1451	19	15	”	"	PUNCT
fis-1451	19	16	due	due	ADP
fis-1451	19	17	to	to	ADP
fis-1451	19	18	the	the	DET
fis-1451	19	19	impact	impact	NOUN
fis-1451	19	20	of	of	ADP
fis-1451	19	21	undetectable	undetectable	ADJ
fis-1451	19	22	debris	debris	NOUN
fis-1451	19	23	is	be	AUX
fis-1451	19	24	crucial	crucial	ADJ
fis-1451	19	25	for	for	ADP
fis-1451	19	26	the	the	DET
fis-1451	19	27	mission	mission	NOUN
fis-1451	19	28	success	success	NOUN
fis-1451	19	29	or	or	CCONJ
fis-1451	19	30	failure	failure	NOUN
fis-1451	19	31	.	.	PUNCT
fis-1451	20	1	essentially	essentially	ADV
fis-1451	20	2	,	,	PUNCT
fis-1451	20	3	it	it	PRON
fis-1451	20	4	quantifies	quantify	VERB
fis-1451	20	5	the	the	DET
fis-1451	20	6	spacecraft	spacecraft	NOUN
fis-1451	20	7	survivability	survivability	NOUN
fis-1451	20	8	.	.	PUNCT
fis-1451	21	1	fig	fig	NOUN
fis-1451	21	2	.	.	PUNCT
fis-1451	22	1	1	1	NUM
fis-1451	22	2	illustrates	illustrate	VERB
fis-1451	22	3	the	the	DET
fis-1451	22	4	survivability	survivability	NOUN
fis-1451	22	5	-	-	PUNCT
fis-1451	22	6	driven	drive	VERB
fis-1451	22	7	design	design	NOUN
fis-1451	22	8	logic	logic	NOUN
fis-1451	22	9	where	where	SCONJ
fis-1451	22	10	it	it	PRON
fis-1451	22	11	is	be	AUX
fis-1451	22	12	assumed	assume	VERB
fis-1451	22	13	that	that	SCONJ
fis-1451	22	14	impact	impact	NOUN
fis-1451	22	15	of	of	ADP
fis-1451	22	16	undetectable	undetectable	ADJ
fis-1451	22	17	debris	debris	NOUN
fis-1451	22	18	between	between	ADP
fis-1451	22	19	1	1	NUM
fis-1451	22	20	and	and	CCONJ
fis-1451	22	21	10	10	NUM
fis-1451	22	22	cm	cm	NOUN
fis-1451	22	23	in	in	ADP
fis-1451	22	24	size	size	NOUN
fis-1451	22	25	has	have	AUX
fis-1451	22	26	occurred	occur	VERB
fis-1451	22	27	and	and	CCONJ
fis-1451	22	28	the	the	DET
fis-1451	22	29	pressure	pressure	NOUN
fis-1451	22	30	wall	wall	NOUN
fis-1451	22	31	is	be	AUX
fis-1451	22	32	damaged	damage	VERB
fis-1451	22	33	.	.	PUNCT
fis-1451	23	1	this	this	DET
fis-1451	23	2	design	design	NOUN
fis-1451	23	3	concept	concept	NOUN
fis-1451	23	4	requires	require	VERB
fis-1451	23	5	that	that	SCONJ
fis-1451	23	6	when	when	SCONJ
fis-1451	23	7	developing	develop	VERB
fis-1451	23	8	spacecraft	spacecraft	NOUN
fis-1451	23	9	,	,	PUNCT
fis-1451	23	10	all	all	DET
fis-1451	23	11	attempts	attempt	NOUN
fis-1451	23	12	be	be	AUX
fis-1451	23	13	made	make	VERB
fis-1451	23	14	to	to	PART
fis-1451	23	15	prevent	prevent	VERB
fis-1451	23	16	the	the	DET
fis-1451	23	17	accidental	accidental	ADJ
fis-1451	23	18	spacecraft	spacecraft	NOUN
fis-1451	23	19	breakups	breakup	NOUN
fis-1451	23	20	.	.	PUNCT
fis-1451	24	1	the	the	DET
fis-1451	24	2	mitigation	mitigation	NOUN
fis-1451	24	3	and	and	CCONJ
fis-1451	24	4	protection	protection	NOUN
fis-1451	24	5	measures	measure	NOUN
fis-1451	24	6	are	be	AUX
fis-1451	24	7	assessed	assess	VERB
fis-1451	24	8	for	for	ADP
fis-1451	24	9	effectiveness	effectiveness	NOUN
fis-1451	24	10	through	through	ADP
fis-1451	24	11	the	the	DET
fis-1451	24	12	fracture	fracture	NOUN
fis-1451	24	13	analysis	analysis	NOUN
fis-1451	24	14	(	(	PUNCT
fis-1451	24	15	fig	fig	NOUN
fis-1451	24	16	.	.	PUNCT
fis-1451	25	1	1	1	NUM
fis-1451	25	2	,	,	PUNCT
fis-1451	25	3	t	t	PROPN
fis-1451	25	4	i.	i.	PROPN
fis-1451	25	5	telichev	telichev	PROPN
fis-1451	25	6	,	,	PUNCT
fis-1451	25	7	frattura	frattura	PROPN
fis-1451	25	8	ed	ed	PROPN
fis-1451	25	9	integrità	integrità	PROPN
fis-1451	25	10	strutturale	strutturale	PROPN
fis-1451	25	11	,	,	PUNCT
fis-1451	25	12	32	32	NUM
fis-1451	25	13	(	(	PUNCT
fis-1451	25	14	2015	2015	NUM
fis-1451	25	15	)	)	PUNCT
fis-1451	25	16	24	24	NUM
fis-1451	25	17	-	-	SYM
fis-1451	25	18	34	34	NUM
fis-1451	25	19	;	;	PUNCT
fis-1451	25	20	doi	doi	NOUN
fis-1451	25	21	:	:	PUNCT
fis-1451	25	22	10.3221	10.3221	NUM
fis-1451	25	23	/	/	SYM
fis-1451	25	24	igf	igf	PROPN
fis-1451	25	25	-	-	PUNCT
fis-1451	25	26	esis.32.03	esis.32.03	ADJ
fis-1451	25	27	25	25	NUM
fis-1451	25	28	module	module	NOUN
fis-1451	25	29	5	5	NUM
fis-1451	25	30	)	)	PUNCT
fis-1451	25	31	.	.	PUNCT
fis-1451	26	1	in	in	ADP
fis-1451	26	2	the	the	DET
fis-1451	26	3	event	event	NOUN
fis-1451	26	4	that	that	SCONJ
fis-1451	26	5	a	a	DET
fis-1451	26	6	pressure	pressure	NOUN
fis-1451	26	7	wall	wall	NOUN
fis-1451	26	8	is	be	AUX
fis-1451	26	9	predicted	predict	VERB
fis-1451	26	10	to	to	ADP
fis-1451	26	11	“	"	PUNCT
fis-1451	26	12	unzip	unzip	NOUN
fis-1451	26	13	”	"	PUNCT
fis-1451	26	14	,	,	PUNCT
fis-1451	26	15	the	the	DET
fis-1451	26	16	survivability	survivability	NOUN
fis-1451	26	17	improvements	improvement	NOUN
fis-1451	26	18	can	can	AUX
fis-1451	26	19	be	be	AUX
fis-1451	26	20	achieved	achieve	VERB
fis-1451	26	21	by	by	ADP
fis-1451	26	22	adding	add	VERB
fis-1451	26	23	more	more	ADV
fis-1451	26	24	effective	effective	ADJ
fis-1451	26	25	shielding	shielding	NOUN
fis-1451	26	26	or	or	CCONJ
fis-1451	26	27	/	/	SYM
fis-1451	26	28	and	and	CCONJ
fis-1451	26	29	by	by	ADP
fis-1451	26	30	varying	vary	VERB
fis-1451	26	31	the	the	DET
fis-1451	26	32	design	design	NOUN
fis-1451	26	33	parameters	parameter	NOUN
fis-1451	26	34	of	of	ADP
fis-1451	26	35	the	the	DET
fis-1451	26	36	pressurized	pressurized	NOUN
fis-1451	26	37	module	module	NOUN
fis-1451	26	38	.	.	PUNCT
fis-1451	27	1	new	new	ADJ
fis-1451	27	2	protection	protection	NOUN
fis-1451	27	3	measures	measure	NOUN
fis-1451	27	4	will	will	AUX
fis-1451	27	5	be	be	AUX
fis-1451	27	6	evaluated	evaluate	VERB
fis-1451	27	7	by	by	ADP
fis-1451	27	8	repeating	repeat	VERB
fis-1451	27	9	the	the	DET
fis-1451	27	10	steps	step	NOUN
fis-1451	27	11	in	in	ADP
fis-1451	27	12	the	the	DET
fis-1451	27	13	above	above	ADJ
fis-1451	27	14	design	design	NOUN
fis-1451	27	15	procedure	procedure	NOUN
fis-1451	27	16	until	until	SCONJ
fis-1451	27	17	the	the	DET
fis-1451	27	18	“	"	PUNCT
fis-1451	27	19	no	no	DET
fis-1451	27	20	rupture	rupture	NOUN
fis-1451	27	21	”	"	PUNCT
fis-1451	27	22	conditions	condition	NOUN
fis-1451	27	23	will	will	AUX
fis-1451	27	24	be	be	AUX
fis-1451	27	25	verified	verify	VERB
fis-1451	27	26	.	.	PUNCT
fis-1451	28	1	the	the	DET
fis-1451	28	2	analysis	analysis	NOUN
fis-1451	28	3	of	of	ADP
fis-1451	28	4	interaction	interaction	NOUN
fis-1451	28	5	of	of	ADP
fis-1451	28	6	penetrative	penetrative	ADJ
fis-1451	28	7	particles	particle	NOUN
fis-1451	28	8	with	with	ADP
fis-1451	28	9	equipment	equipment	NOUN
fis-1451	28	10	inside	inside	ADP
fis-1451	28	11	a	a	DET
fis-1451	28	12	spacecraft	spacecraft	NOUN
fis-1451	28	13	is	be	AUX
fis-1451	28	14	out	out	ADP
fis-1451	28	15	of	of	ADP
fis-1451	28	16	scope	scope	NOUN
fis-1451	28	17	of	of	ADP
fis-1451	28	18	the	the	DET
fis-1451	28	19	current	current	ADJ
fis-1451	28	20	paper	paper	NOUN
fis-1451	28	21	.	.	PUNCT
fis-1451	29	1	figure	figure	NOUN
fis-1451	29	2	1	1	NUM
fis-1451	29	3	:	:	PUNCT
fis-1451	29	4	design	design	NOUN
fis-1451	29	5	procedure	procedure	NOUN
fis-1451	29	6	of	of	ADP
fis-1451	29	7	spacecraft	spacecraft	NOUN
fis-1451	29	8	with	with	ADP
fis-1451	29	9	enhanced	enhanced	ADJ
fis-1451	29	10	survivability	survivability	NOUN
fis-1451	29	11	.	.	PUNCT
fis-1451	30	1	orbital	orbital	ADJ
fis-1451	30	2	debris	debris	NOUN
fis-1451	30	3	data	datum	NOUN
fis-1451	30	4	(	(	PUNCT
fis-1451	30	5	untrackable	untrackable	ADJ
fis-1451	30	6	)	)	PUNCT
fis-1451	30	7	pressure	pressure	NOUN
fis-1451	30	8	wall	wall	NOUN
fis-1451	30	9	damage	damage	NOUN
fis-1451	30	10	?	?	PUNCT
fis-1451	31	1	fracture	fracture	NOUN
fis-1451	31	2	analysis	analysis	NOUN
fis-1451	31	3	pressure	pressure	NOUN
fis-1451	31	4	wall	wall	NOUN
fis-1451	31	5	rupture	rupture	PROPN
fis-1451	31	6	?	?	PUNCT
fis-1451	32	1	(	(	PUNCT
fis-1451	32	2	“	"	PUNCT
fis-1451	32	3	unzipping	unzip	VERB
fis-1451	32	4	”	"	PUNCT
fis-1451	32	5	)	)	PUNCT
fis-1451	32	6	varying	vary	VERB
fis-1451	32	7	the	the	DET
fis-1451	32	8	design	design	NOUN
fis-1451	32	9	parameters	parameter	NOUN
fis-1451	32	10	of	of	ADP
fis-1451	32	11	pressurized	pressurized	NOUN
fis-1451	32	12	module	module	NOUN
fis-1451	32	13	varying	vary	VERB
fis-1451	32	14	the	the	DET
fis-1451	32	15	characteristics	characteristic	NOUN
fis-1451	32	16	of	of	ADP
fis-1451	32	17	shield	shield	NOUN
fis-1451	32	18	spacecraft	spacecraft	NOUN
fis-1451	32	19	survived	survive	VERB
fis-1451	32	20	,	,	PUNCT
fis-1451	32	21	mission	mission	NOUN
fis-1451	32	22	continues	continue	VERB
fis-1451	32	23	yes	yes	INTJ
fis-1451	32	24	no	no	DET
fis-1451	32	25	spacecraft	spacecraft	NOUN
fis-1451	32	26	survived	survive	VERB
fis-1451	32	27	,	,	PUNCT
fis-1451	32	28	mission	mission	NOUN
fis-1451	32	29	continues	continue	VERB
fis-1451	33	1	yes	yes	INTJ
fis-1451	34	1	yes	yes	INTJ
fis-1451	34	2	no	no	INTJ
fis-1451	35	1	no	no	DET
fis-1451	35	2	pressurized	pressurized	NOUN
fis-1451	35	3	module	module	NOUN
fis-1451	35	4	+	+	CCONJ
fis-1451	35	5	shield	shield	NOUN
fis-1451	35	6	system	system	NOUN
fis-1451	35	7	actions	action	NOUN
fis-1451	35	8	to	to	PART
fis-1451	35	9	enhance	enhance	VERB
fis-1451	35	10	the	the	DET
fis-1451	35	11	survivability	survivability	NOUN
fis-1451	35	12	?	?	PUNCT
fis-1451	36	1	yes	yes	INTJ
fis-1451	36	2	no	no	DET
fis-1451	36	3	destruction	destruction	NOUN
fis-1451	36	4	of	of	ADP
fis-1451	36	5	critical	critical	ADJ
fis-1451	36	6	internal	internal	ADJ
fis-1451	36	7	components	component	NOUN
fis-1451	36	8	?	?	PUNCT
fis-1451	37	1	1	1	NUM
fis-1451	37	2	2	2	NUM
fis-1451	37	3	3	3	NUM
fis-1451	37	4	4	4	NUM
fis-1451	37	5	5	5	NUM
fis-1451	37	6	6	6	NUM
fis-1451	37	7	9	9	NUM
fis-1451	37	8	7	7	NUM
fis-1451	37	9	8	8	NUM
fis-1451	37	10	10	10	NUM
fis-1451	37	11	13	13	NUM
fis-1451	37	12	end	end	NOUN
fis-1451	37	13	of	of	ADP
fis-1451	37	14	analysis	analysis	NOUN
fis-1451	37	15	disfunctional	disfunctional	ADJ
fis-1451	37	16	trackable	trackable	ADJ
fis-1451	37	17	spacecraft	spacecraft	NOUN
fis-1451	37	18	,	,	PUNCT
fis-1451	37	19	mitigation	mitigation	NOUN
fis-1451	37	20	requirement	requirement	NOUN
fis-1451	37	21	is	be	AUX
fis-1451	37	22	satisfied	satisfied	ADJ
fis-1451	37	23	14	14	NUM
fis-1451	37	24	11	11	NUM
fis-1451	37	25	seal	seal	NOUN
fis-1451	37	26	/	/	SYM
fis-1451	37	27	repair	repair	NOUN
fis-1451	37	28	of	of	ADP
fis-1451	37	29	damaged	damage	VERB
fis-1451	37	30	pressure	pressure	NOUN
fis-1451	37	31	wall	wall	NOUN
fis-1451	37	32	12	12	NUM
fis-1451	37	33	end	end	NOUN
fis-1451	37	34	of	of	ADP
fis-1451	37	35	analysis	analysis	NOUN
fis-1451	37	36	14	14	NUM
fis-1451	37	37	i.	i.	NOUN
fis-1451	37	38	telichev	telichev	PROPN
fis-1451	37	39	,	,	PUNCT
fis-1451	37	40	frattura	frattura	PROPN
fis-1451	37	41	ed	ed	PROPN
fis-1451	37	42	integrità	integrità	PROPN
fis-1451	37	43	strutturale	strutturale	PROPN
fis-1451	37	44	,	,	PUNCT
fis-1451	37	45	32	32	NUM
fis-1451	37	46	(	(	PUNCT
fis-1451	37	47	2015	2015	NUM
fis-1451	37	48	)	)	PUNCT
fis-1451	37	49	24	24	NUM
fis-1451	37	50	-	-	SYM
fis-1451	37	51	34	34	NUM
fis-1451	37	52	;	;	PUNCT
fis-1451	37	53	doi	doi	NOUN
fis-1451	37	54	:	:	PUNCT
fis-1451	37	55	10.3221	10.3221	NUM
fis-1451	37	56	/	/	SYM
fis-1451	37	57	igf	igf	PROPN
fis-1451	37	58	-	-	PUNCT
fis-1451	37	59	esis.32.03	esis.32.03	ADJ
fis-1451	37	60	26	26	NUM
fis-1451	37	61	the	the	DET
fis-1451	37	62	present	present	ADJ
fis-1451	37	63	paper	paper	NOUN
fis-1451	37	64	is	be	AUX
fis-1451	37	65	focused	focus	VERB
fis-1451	37	66	on	on	ADP
fis-1451	37	67	the	the	DET
fis-1451	37	68	engineering	engineering	NOUN
fis-1451	37	69	methodology	methodology	NOUN
fis-1451	37	70	which	which	PRON
fis-1451	37	71	allows	allow	VERB
fis-1451	37	72	determining	determine	VERB
fis-1451	37	73	the	the	DET
fis-1451	37	74	border	border	NOUN
fis-1451	37	75	between	between	ADP
fis-1451	37	76	the	the	DET
fis-1451	37	77	simple	simple	ADJ
fis-1451	37	78	perforation	perforation	NOUN
fis-1451	37	79	and	and	CCONJ
fis-1451	37	80	catastrophic	catastrophic	ADJ
fis-1451	37	81	fracture	fracture	NOUN
fis-1451	37	82	of	of	ADP
fis-1451	37	83	impact	impact	NOUN
fis-1451	37	84	-	-	PUNCT
fis-1451	37	85	damaged	damage	VERB
fis-1451	37	86	pressurized	pressurized	NOUN
fis-1451	37	87	modules	module	NOUN
fis-1451	37	88	and	and	CCONJ
fis-1451	37	89	pressure	pressure	NOUN
fis-1451	37	90	vessels	vessel	NOUN
fis-1451	37	91	onboard	onboard	ADP
fis-1451	37	92	spacecraft	spacecraft	NOUN
fis-1451	37	93	.	.	PUNCT
fis-1451	38	1	this	this	DET
fis-1451	38	2	methodology	methodology	NOUN
fis-1451	38	3	is	be	AUX
fis-1451	38	4	viewed	view	VERB
fis-1451	38	5	as	as	ADP
fis-1451	38	6	a	a	DET
fis-1451	38	7	key	key	ADJ
fis-1451	38	8	element	element	NOUN
fis-1451	38	9	in	in	ADP
fis-1451	38	10	the	the	DET
fis-1451	38	11	survivability	survivability	NOUN
fis-1451	38	12	-	-	PUNCT
fis-1451	38	13	driven	drive	VERB
fis-1451	38	14	spacecraft	spacecraft	NOUN
fis-1451	38	15	design	design	NOUN
fis-1451	38	16	procedure	procedure	NOUN
fis-1451	38	17	providing	provide	VERB
fis-1451	38	18	that	that	SCONJ
fis-1451	38	19	under	under	ADP
fis-1451	38	20	no	no	DET
fis-1451	38	21	circumstances	circumstance	NOUN
fis-1451	38	22	will	will	AUX
fis-1451	38	23	the	the	DET
fis-1451	38	24	“	"	PUNCT
fis-1451	38	25	unzipping	unzipping	NOUN
fis-1451	38	26	”	"	PUNCT
fis-1451	38	27	occur	occur	NOUN
fis-1451	38	28	.	.	PUNCT
fis-1451	39	1	addressing	address	VERB
fis-1451	39	2	this	this	DET
fis-1451	39	3	problem	problem	NOUN
fis-1451	39	4	will	will	AUX
fis-1451	39	5	not	not	PART
fis-1451	39	6	only	only	ADV
fis-1451	39	7	improve	improve	VERB
fis-1451	39	8	the	the	DET
fis-1451	39	9	survivability	survivability	NOUN
fis-1451	39	10	of	of	ADP
fis-1451	39	11	spacecraft	spacecraft	NOUN
fis-1451	39	12	itself	itself	PRON
fis-1451	39	13	but	but	CCONJ
fis-1451	39	14	also	also	ADV
fis-1451	39	15	will	will	AUX
fis-1451	39	16	provide	provide	VERB
fis-1451	39	17	the	the	DET
fis-1451	39	18	mitigation	mitigation	NOUN
fis-1451	39	19	effect	effect	NOUN
fis-1451	39	20	since	since	SCONJ
fis-1451	39	21	each	each	DET
fis-1451	39	22	satellite	satellite	NOUN
fis-1451	39	23	break	break	NOUN
fis-1451	39	24	-	-	PUNCT
fis-1451	39	25	up	up	NOUN
fis-1451	39	26	causes	cause	VERB
fis-1451	39	27	not	not	PART
fis-1451	39	28	only	only	ADV
fis-1451	39	29	the	the	DET
fis-1451	39	30	loss	loss	NOUN
fis-1451	39	31	of	of	ADP
fis-1451	39	32	space	space	NOUN
fis-1451	39	33	assets	asset	NOUN
fis-1451	39	34	but	but	CCONJ
fis-1451	39	35	the	the	DET
fis-1451	39	36	considerable	considerable	ADJ
fis-1451	39	37	addition	addition	NOUN
fis-1451	39	38	to	to	ADP
fis-1451	39	39	the	the	DET
fis-1451	39	40	orbital	orbital	ADJ
fis-1451	39	41	debris	debris	NOUN
fis-1451	39	42	population	population	NOUN
fis-1451	39	43	.	.	PUNCT
fis-1451	40	1	modeling	modeling	NOUN
fis-1451	40	2	of	of	ADP
fis-1451	40	3	impact	impact	NOUN
fis-1451	40	4	damage	damage	NOUN
fis-1451	40	5	xperimental	xperimental	PROPN
fis-1451	40	6	studies	study	NOUN
fis-1451	40	7	have	have	AUX
fis-1451	40	8	shown	show	VERB
fis-1451	40	9	that	that	SCONJ
fis-1451	40	10	the	the	DET
fis-1451	40	11	impact	impact	NOUN
fis-1451	40	12	damage	damage	NOUN
fis-1451	40	13	has	have	VERB
fis-1451	40	14	the	the	DET
fis-1451	40	15	form	form	NOUN
fis-1451	40	16	of	of	ADP
fis-1451	40	17	a	a	DET
fis-1451	40	18	hole	hole	NOUN
fis-1451	40	19	surrounded	surround	VERB
fis-1451	40	20	by	by	ADP
fis-1451	40	21	a	a	DET
fis-1451	40	22	zone	zone	NOUN
fis-1451	40	23	of	of	ADP
fis-1451	40	24	the	the	DET
fis-1451	40	25	cracklike	cracklike	ADJ
fis-1451	40	26	defects	defect	NOUN
fis-1451	40	27	(	(	PUNCT
fis-1451	40	28	fig	fig	NOUN
fis-1451	40	29	.	.	PUNCT
fis-1451	41	1	2a	2a	NUM
fis-1451	41	2	,	,	PUNCT
fis-1451	41	3	b	b	X
fis-1451	41	4	,	,	PUNCT
fis-1451	41	5	c	c	NOUN
fis-1451	41	6	)	)	PUNCT
fis-1451	41	7	.	.	PUNCT
fis-1451	42	1	for	for	ADP
fis-1451	42	2	the	the	DET
fis-1451	42	3	case	case	NOUN
fis-1451	42	4	of	of	ADP
fis-1451	42	5	both	both	CCONJ
fis-1451	42	6	shield	shield	NOUN
fis-1451	42	7	and	and	CCONJ
fis-1451	42	8	pressure	pressure	NOUN
fis-1451	42	9	wall	wall	NOUN
fis-1451	42	10	perforation	perforation	NOUN
fis-1451	42	11	the	the	DET
fis-1451	42	12	impact	impact	NOUN
fis-1451	42	13	damage	damage	NOUN
fis-1451	42	14	varies	vary	VERB
fis-1451	42	15	from	from	ADP
fis-1451	42	16	the	the	DET
fis-1451	42	17	petal	petal	ADJ
fis-1451	42	18	hole	hole	NOUN
fis-1451	42	19	(	(	PUNCT
fis-1451	42	20	fig	fig	NOUN
fis-1451	42	21	.	.	PUNCT
fis-1451	43	1	2a	2a	NUM
fis-1451	43	2	)	)	PUNCT
fis-1451	44	1	to	to	ADP
fis-1451	44	2	the	the	DET
fis-1451	44	3	“	"	PUNCT
fis-1451	44	4	cookie	cookie	NOUN
fis-1451	44	5	-	-	PUNCT
fis-1451	44	6	cutter	cutter	NOUN
fis-1451	44	7	hole	hole	NOUN
fis-1451	44	8	”	"	PUNCT
fis-1451	44	9	(	(	PUNCT
fis-1451	44	10	fig	fig	NOUN
fis-1451	44	11	.	.	PUNCT
fis-1451	44	12	2b	2b	NUM
fis-1451	44	13	)	)	PUNCT
fis-1451	44	14	.	.	PUNCT
fis-1451	45	1	the	the	DET
fis-1451	45	2	perforation	perforation	NOUN
fis-1451	45	3	of	of	ADP
fis-1451	45	4	the	the	DET
fis-1451	45	5	unshielded	unshielded	ADJ
fis-1451	45	6	wall	wall	NOUN
fis-1451	45	7	is	be	AUX
fis-1451	45	8	accompanied	accompany	VERB
fis-1451	45	9	by	by	ADP
fis-1451	45	10	a	a	DET
fis-1451	45	11	zone	zone	NOUN
fis-1451	45	12	of	of	ADP
fis-1451	45	13	spall	spall	NOUN
fis-1451	45	14	cracks	crack	NOUN
fis-1451	45	15	adjacent	adjacent	ADJ
fis-1451	45	16	to	to	ADP
fis-1451	45	17	the	the	DET
fis-1451	45	18	impact	impact	NOUN
fis-1451	45	19	hole	hole	NOUN
fis-1451	45	20	as	as	SCONJ
fis-1451	45	21	shown	show	VERB
fis-1451	45	22	in	in	ADP
fis-1451	45	23	fig	fig	NOUN
fis-1451	45	24	.	.	PUNCT
fis-1451	46	1	2c	2c	NOUN
fis-1451	46	2	.	.	PUNCT
fis-1451	47	1	for	for	ADP
fis-1451	47	2	further	further	ADJ
fis-1451	47	3	analysis	analysis	NOUN
fis-1451	47	4	it	it	PRON
fis-1451	47	5	suggested	suggest	VERB
fis-1451	47	6	to	to	PART
fis-1451	47	7	model	model	VERB
fis-1451	47	8	the	the	DET
fis-1451	47	9	cracked	cracked	ADJ
fis-1451	47	10	area	area	NOUN
fis-1451	47	11	around	around	ADP
fis-1451	47	12	the	the	DET
fis-1451	47	13	penetrated	penetrate	VERB
fis-1451	47	14	hole	hole	NOUN
fis-1451	47	15	by	by	ADP
fis-1451	47	16	two	two	NUM
fis-1451	47	17	radial	radial	ADJ
fis-1451	47	18	cracks	crack	NOUN
fis-1451	47	19	emanating	emanate	VERB
fis-1451	47	20	from	from	ADP
fis-1451	47	21	the	the	DET
fis-1451	47	22	rim	rim	NOUN
fis-1451	47	23	of	of	ADP
fis-1451	47	24	the	the	DET
fis-1451	47	25	hole	hole	NOUN
fis-1451	47	26	perpendicularly	perpendicularly	ADV
fis-1451	47	27	to	to	ADP
fis-1451	47	28	the	the	DET
fis-1451	47	29	applied	apply	VERB
fis-1451	47	30	load	load	NOUN
fis-1451	47	31	.	.	PUNCT
fis-1451	48	1	the	the	DET
fis-1451	48	2	diameter	diameter	NOUN
fis-1451	48	3	of	of	ADP
fis-1451	48	4	the	the	DET
fis-1451	48	5	model	model	NOUN
fis-1451	48	6	hole	hole	NOUN
fis-1451	48	7	is	be	AUX
fis-1451	48	8	equal	equal	ADJ
fis-1451	48	9	to	to	ADP
fis-1451	48	10	the	the	DET
fis-1451	48	11	diameter	diameter	NOUN
fis-1451	48	12	of	of	ADP
fis-1451	48	13	the	the	DET
fis-1451	48	14	impact	impact	NOUN
fis-1451	48	15	hole	hole	NOUN
fis-1451	48	16	(	(	PUNCT
fis-1451	48	17	dhole	dhole	PROPN
fis-1451	48	18	)	)	PUNCT
fis-1451	48	19	,	,	PUNCT
fis-1451	48	20	while	while	SCONJ
fis-1451	48	21	the	the	DET
fis-1451	48	22	length	length	NOUN
fis-1451	48	23	of	of	ADP
fis-1451	48	24	the	the	DET
fis-1451	48	25	fictitious	fictitious	ADJ
fis-1451	48	26	radial	radial	ADJ
fis-1451	48	27	cracks	crack	NOUN
fis-1451	48	28	is	be	AUX
fis-1451	48	29	bounded	bound	VERB
fis-1451	48	30	by	by	ADP
fis-1451	48	31	a	a	DET
fis-1451	48	32	damage	damage	NOUN
fis-1451	48	33	zone	zone	NOUN
fis-1451	48	34	(	(	PUNCT
fis-1451	48	35	dcrack	dcrack	NOUN
fis-1451	48	36	)	)	PUNCT
fis-1451	48	37	.	.	PUNCT
fis-1451	49	1	in	in	ADP
fis-1451	49	2	cylindrical	cylindrical	ADJ
fis-1451	49	3	pressurized	pressurized	NOUN
fis-1451	49	4	structure	structure	NOUN
fis-1451	49	5	these	these	DET
fis-1451	49	6	two	two	NUM
fis-1451	49	7	radial	radial	ADJ
fis-1451	49	8	cracks	crack	NOUN
fis-1451	49	9	are	be	AUX
fis-1451	49	10	set	set	VERB
fis-1451	49	11	to	to	PART
fis-1451	49	12	be	be	AUX
fis-1451	49	13	normal	normal	ADJ
fis-1451	49	14	to	to	ADP
fis-1451	49	15	the	the	DET
fis-1451	49	16	hoop	hoop	NOUN
fis-1451	49	17	stress	stress	NOUN
fis-1451	49	18	,	,	PUNCT
fis-1451	49	19	i.e.	i.e.	X
fis-1451	49	20	along	along	ADP
fis-1451	49	21	the	the	DET
fis-1451	49	22	expected	expect	VERB
fis-1451	49	23	fracture	fracture	PROPN
fis-1451	49	24	path	path	NOUN
fis-1451	49	25	(	(	PUNCT
fis-1451	49	26	fig	fig	NOUN
fis-1451	49	27	.	.	PUNCT
fis-1451	50	1	2d	2d	NUM
fis-1451	50	2	)	)	PUNCT
fis-1451	50	3	.	.	PUNCT
fis-1451	51	1	figure	figure	NOUN
fis-1451	51	2	2	2	NUM
fis-1451	51	3	:	:	PUNCT
fis-1451	51	4	modeling	model	VERB
fis-1451	51	5	the	the	DET
fis-1451	51	6	impact	impact	NOUN
fis-1451	51	7	holes	hole	VERB
fis-1451	51	8	:	:	PUNCT
fis-1451	51	9	a	a	X
fis-1451	51	10	)	)	PUNCT
fis-1451	51	11	petal	petal	ADJ
fis-1451	51	12	hole	hole	NOUN
fis-1451	51	13	;	;	PUNCT
fis-1451	51	14	b	b	X
fis-1451	51	15	)	)	PUNCT
fis-1451	51	16	“	"	PUNCT
fis-1451	51	17	cookie	cookie	NOUN
fis-1451	51	18	-	-	PUNCT
fis-1451	51	19	cutter	cutter	NOUN
fis-1451	51	20	hole	hole	NOUN
fis-1451	51	21	”	"	PUNCT
fis-1451	51	22	;	;	PUNCT
fis-1451	51	23	c	c	X
fis-1451	51	24	)	)	PUNCT
fis-1451	51	25	hole	hole	NOUN
fis-1451	51	26	with	with	ADP
fis-1451	51	27	adjacent	adjacent	ADJ
fis-1451	51	28	spall	spall	NOUN
fis-1451	51	29	cracks	crack	NOUN
fis-1451	51	30	;	;	PUNCT
fis-1451	51	31	d	d	X
fis-1451	51	32	)	)	PUNCT
fis-1451	51	33	model	model	NOUN
fis-1451	51	34	of	of	ADP
fis-1451	51	35	impact	impact	NOUN
fis-1451	51	36	hole	hole	NOUN
fis-1451	51	37	.	.	PUNCT
fis-1451	52	1	figure	figure	VERB
fis-1451	52	2	3	3	NUM
fis-1451	52	3	:	:	PUNCT
fis-1451	52	4	snapshot	snapshot	NOUN
fis-1451	52	5	of	of	ADP
fis-1451	52	6	the	the	DET
fis-1451	52	7	evolution	evolution	NOUN
fis-1451	52	8	of	of	ADP
fis-1451	52	9	the	the	DET
fis-1451	52	10	stress	stress	NOUN
fis-1451	52	11	field	field	NOUN
fis-1451	52	12	after	after	SCONJ
fis-1451	52	13	the	the	DET
fis-1451	52	14	hole	hole	NOUN
fis-1451	52	15	was	be	AUX
fis-1451	52	16	instantly	instantly	ADV
fis-1451	52	17	formed	form	VERB
fis-1451	52	18	in	in	ADP
fis-1451	52	19	the	the	DET
fis-1451	52	20	loaded	load	VERB
fis-1451	52	21	plate	plate	NOUN
fis-1451	52	22	the	the	DET
fis-1451	52	23	penetration	penetration	NOUN
fis-1451	52	24	process	process	NOUN
fis-1451	52	25	lasts	last	VERB
fis-1451	52	26	for	for	ADP
fis-1451	52	27	a	a	DET
fis-1451	52	28	matter	matter	NOUN
fis-1451	52	29	of	of	ADP
fis-1451	52	30	microseconds	microsecond	NOUN
fis-1451	52	31	and	and	CCONJ
fis-1451	52	32	this	this	DET
fis-1451	52	33	process	process	NOUN
fis-1451	52	34	is	be	AUX
fis-1451	52	35	essentially	essentially	ADV
fis-1451	52	36	dynamic	dynamic	ADJ
fis-1451	52	37	.	.	PUNCT
fis-1451	53	1	after	after	ADP
fis-1451	53	2	the	the	DET
fis-1451	53	3	appearance	appearance	NOUN
fis-1451	53	4	of	of	ADP
fis-1451	53	5	an	an	DET
fis-1451	53	6	impact	impact	NOUN
fis-1451	53	7	hole	hole	NOUN
fis-1451	53	8	in	in	ADP
fis-1451	53	9	the	the	DET
fis-1451	53	10	pre	pre	ADJ
fis-1451	53	11	-	-	ADJ
fis-1451	53	12	loaded	loaded	ADJ
fis-1451	53	13	plate	plate	NOUN
fis-1451	53	14	,	,	PUNCT
fis-1451	53	15	the	the	DET
fis-1451	53	16	field	field	NOUN
fis-1451	53	17	of	of	ADP
fis-1451	53	18	stress	stress	ADJ
fis-1451	53	19	distribution	distribution	NOUN
fis-1451	53	20	around	around	ADP
fis-1451	53	21	this	this	DET
fis-1451	53	22	hole	hole	NOUN
fis-1451	53	23	does	do	AUX
fis-1451	53	24	not	not	PART
fis-1451	53	25	change	change	VERB
fis-1451	53	26	immediately	immediately	ADV
fis-1451	53	27	.	.	PUNCT
fis-1451	54	1	this	this	DET
fis-1451	54	2	transition	transition	NOUN
fis-1451	54	3	process	process	NOUN
fis-1451	54	4	flows	flow	VERB
fis-1451	54	5	as	as	SCONJ
fis-1451	54	6	the	the	DET
fis-1451	54	7	stress	stress	NOUN
fis-1451	54	8	wave	wave	NOUN
fis-1451	54	9	travels	travel	VERB
fis-1451	54	10	away	away	ADV
fis-1451	54	11	from	from	ADP
fis-1451	54	12	rim	rim	NOUN
fis-1451	54	13	of	of	ADP
fis-1451	54	14	hole	hole	NOUN
fis-1451	54	15	.	.	PUNCT
fis-1451	55	1	the	the	DET
fis-1451	55	2	evolution	evolution	NOUN
fis-1451	55	3	of	of	ADP
fis-1451	55	4	the	the	DET
fis-1451	55	5	stress	stress	NOUN
fis-1451	55	6	field	field	NOUN
fis-1451	55	7	near	near	ADP
fis-1451	55	8	the	the	DET
fis-1451	55	9	hole	hole	NOUN
fis-1451	55	10	in	in	ADP
fis-1451	55	11	the	the	DET
fis-1451	55	12	perforated	perforate	VERB
fis-1451	55	13	plate	plate	NOUN
fis-1451	55	14	were	be	AUX
fis-1451	55	15	evaluated	evaluate	VERB
fis-1451	55	16	explicitly	explicitly	ADV
fis-1451	55	17	using	use	VERB
fis-1451	55	18	the	the	DET
fis-1451	55	19	autodyn	autodyn	NOUN
fis-1451	55	20	®	®	NOUN
fis-1451	55	21	code	code	NOUN
fis-1451	55	22	(	(	PUNCT
fis-1451	55	23	fig	fig	NOUN
fis-1451	55	24	.	.	PUNCT
fis-1451	56	1	3	3	NUM
fis-1451	56	2	)	)	PUNCT
fis-1451	56	3	.	.	PUNCT
fis-1451	57	1	the	the	DET
fis-1451	57	2	obtained	obtain	VERB
fis-1451	57	3	results	result	NOUN
fis-1451	57	4	are	be	AUX
fis-1451	57	5	consistent	consistent	ADJ
fis-1451	57	6	e	e	PROPN
fis-1451	57	7	i.	i.	NOUN
fis-1451	57	8	telichev	telichev	PROPN
fis-1451	57	9	,	,	PUNCT
fis-1451	57	10	frattura	frattura	PROPN
fis-1451	57	11	ed	ed	PROPN
fis-1451	57	12	integrità	integrità	PROPN
fis-1451	57	13	strutturale	strutturale	PROPN
fis-1451	57	14	,	,	PUNCT
fis-1451	57	15	32	32	NUM
fis-1451	57	16	(	(	PUNCT
fis-1451	57	17	2015	2015	NUM
fis-1451	57	18	)	)	PUNCT
fis-1451	57	19	24	24	NUM
fis-1451	57	20	-	-	SYM
fis-1451	57	21	34	34	NUM
fis-1451	57	22	;	;	PUNCT
fis-1451	57	23	doi	doi	NOUN
fis-1451	57	24	:	:	PUNCT
fis-1451	57	25	10.3221	10.3221	NUM
fis-1451	57	26	/	/	SYM
fis-1451	57	27	igf	igf	PROPN
fis-1451	57	28	-	-	PUNCT
fis-1451	57	29	esis.32.03	esis.32.03	NOUN
fis-1451	57	30	27	27	NUM
fis-1451	57	31	with	with	ADP
fis-1451	57	32	the	the	DET
fis-1451	57	33	numerical	numerical	ADJ
fis-1451	57	34	solution	solution	NOUN
fis-1451	57	35	of	of	ADP
fis-1451	57	36	the	the	DET
fis-1451	57	37	non	non	ADJ
fis-1451	57	38	-	-	ADJ
fis-1451	57	39	steady	steady	ADJ
fis-1451	57	40	-	-	PUNCT
fis-1451	57	41	state	state	NOUN
fis-1451	57	42	problem	problem	NOUN
fis-1451	57	43	of	of	ADP
fis-1451	57	44	kirsh	kirsh	PROPN
fis-1451	58	1	[	[	X
fis-1451	58	2	5	5	NUM
fis-1451	58	3	]	]	PUNCT
fis-1451	58	4	.	.	PUNCT
fis-1451	59	1	during	during	ADP
fis-1451	59	2	the	the	DET
fis-1451	59	3	transition	transition	NOUN
fis-1451	59	4	process	process	NOUN
fis-1451	59	5	the	the	DET
fis-1451	59	6	dynamic	dynamic	ADJ
fis-1451	59	7	stress	stress	NOUN
fis-1451	59	8	concentration	concentration	NOUN
fis-1451	59	9	factor	factor	NOUN
fis-1451	59	10	k()=(	k()=(	NOUN
fis-1451	59	11	)	)	PUNCT
fis-1451	59	12	/	/	PUNCT
fis-1451	59	13	increases	increase	VERB
fis-1451	59	14	reaching	reach	VERB
fis-1451	59	15	the	the	DET
fis-1451	59	16	maximum	maximum	ADJ
fis-1451	59	17	value	value	NOUN
fis-1451	59	18	of	of	ADP
fis-1451	59	19	3.33	3.33	NUM
fis-1451	59	20	and	and	CCONJ
fis-1451	59	21	then	then	ADV
fis-1451	59	22	asymptotically	asymptotically	ADV
fis-1451	59	23	drops	drop	VERB
fis-1451	59	24	to	to	ADP
fis-1451	59	25	the	the	DET
fis-1451	59	26	static	static	ADJ
fis-1451	59	27	value	value	NOUN
fis-1451	59	28	.	.	PUNCT
fis-1451	60	1	modeling	modeling	NOUN
fis-1451	60	2	of	of	ADP
fis-1451	60	3	fracture	fracture	ADJ
fis-1451	60	4	solution	solution	NOUN
fis-1451	60	5	of	of	ADP
fis-1451	60	6	singular	singular	ADJ
fis-1451	60	7	integral	integral	ADJ
fis-1451	60	8	equation	equation	NOUN
fis-1451	60	9	he	he	PRON
fis-1451	60	10	problem	problem	VERB
fis-1451	60	11	of	of	ADP
fis-1451	60	12	potential	potential	ADJ
fis-1451	60	13	fracture	fracture	NOUN
fis-1451	60	14	and	and	CCONJ
fis-1451	60	15	bursting	bursting	NOUN
fis-1451	60	16	of	of	ADP
fis-1451	60	17	aerospace	aerospace	NOUN
fis-1451	60	18	pressurized	pressurized	NOUN
fis-1451	60	19	structures	structure	NOUN
fis-1451	60	20	was	be	AUX
fis-1451	60	21	extensively	extensively	ADV
fis-1451	60	22	examined	examine	VERB
fis-1451	60	23	by	by	ADP
fis-1451	60	24	the	the	DET
fis-1451	60	25	nasa	nasa	PROPN
fis-1451	60	26	advanced	advanced	ADJ
fis-1451	60	27	fracture	fracture	PROPN
fis-1451	60	28	mechanics	mechanic	NOUN
fis-1451	60	29	group	group	NOUN
fis-1451	61	1	[	[	X
fis-1451	61	2	1	1	NUM
fis-1451	61	3	-	-	SYM
fis-1451	61	4	3	3	NUM
fis-1451	61	5	]	]	PUNCT
fis-1451	61	6	.	.	PUNCT
fis-1451	62	1	the	the	DET
fis-1451	62	2	fracture	fracture	PROPN
fis-1451	62	3	propagation	propagation	NOUN
fis-1451	62	4	analysis	analysis	NOUN
fis-1451	62	5	was	be	AUX
fis-1451	62	6	conducted	conduct	VERB
fis-1451	62	7	analytically	analytically	ADV
fis-1451	62	8	using	use	VERB
fis-1451	62	9	the	the	DET
fis-1451	62	10	linear	linear	ADJ
fis-1451	62	11	elastic	elastic	ADJ
fis-1451	62	12	fracture	fracture	NOUN
fis-1451	62	13	mechanics	mechanic	NOUN
fis-1451	62	14	approach	approach	NOUN
fis-1451	62	15	and	and	CCONJ
fis-1451	62	16	numerically	numerically	ADV
fis-1451	62	17	employing	employ	VERB
fis-1451	62	18	the	the	DET
fis-1451	62	19	finite	finite	ADJ
fis-1451	62	20	element	element	NOUN
fis-1451	62	21	method	method	NOUN
fis-1451	62	22	and	and	CCONJ
fis-1451	62	23	non	non	ADJ
fis-1451	62	24	-	-	ADJ
fis-1451	62	25	linear	linear	ADJ
fis-1451	62	26	fracture	fracture	NOUN
fis-1451	62	27	mechanics	mechanic	NOUN
fis-1451	62	28	technique	technique	NOUN
fis-1451	62	29	.	.	PUNCT
fis-1451	63	1	comparison	comparison	NOUN
fis-1451	63	2	to	to	ADP
fis-1451	63	3	the	the	DET
fis-1451	63	4	experimental	experimental	ADJ
fis-1451	63	5	data	datum	NOUN
fis-1451	63	6	showed	show	VERB
fis-1451	63	7	that	that	SCONJ
fis-1451	63	8	the	the	DET
fis-1451	63	9	linear	linear	ADJ
fis-1451	63	10	elastic	elastic	ADJ
fis-1451	63	11	fracture	fracture	NOUN
fis-1451	63	12	mechanics	mechanic	NOUN
fis-1451	63	13	methods	method	NOUN
fis-1451	63	14	are	be	AUX
fis-1451	63	15	too	too	ADV
fis-1451	63	16	conservative	conservative	ADJ
fis-1451	63	17	and	and	CCONJ
fis-1451	63	18	non	non	ADJ
fis-1451	63	19	-	-	ADJ
fis-1451	63	20	linear	linear	ADJ
fis-1451	63	21	fracture	fracture	NOUN
fis-1451	63	22	mechanics	mechanic	NOUN
fis-1451	63	23	approach	approach	NOUN
fis-1451	63	24	is	be	AUX
fis-1451	63	25	required	require	VERB
fis-1451	63	26	for	for	ADP
fis-1451	63	27	a	a	DET
fis-1451	63	28	more	more	ADV
fis-1451	63	29	realistic	realistic	ADJ
fis-1451	63	30	treatment	treatment	NOUN
fis-1451	63	31	of	of	ADP
fis-1451	63	32	the	the	DET
fis-1451	63	33	problem	problem	NOUN
fis-1451	63	34	[	[	X
fis-1451	63	35	1	1	NUM
fis-1451	63	36	]	]	PUNCT
fis-1451	63	37	.	.	PUNCT
fis-1451	64	1	figure	figure	VERB
fis-1451	64	2	4	4	NUM
fis-1451	64	3	:	:	SYM
fis-1451	64	4	5	5	NUM
fis-1451	64	5	-	-	PUNCT
fis-1451	64	6	link	link	NOUN
fis-1451	64	7	crack	crack	NOUN
fis-1451	64	8	(	(	PUNCT
fis-1451	64	9	a	a	DET
fis-1451	64	10	,	,	PUNCT
fis-1451	64	11	b	b	NOUN
fis-1451	64	12	)	)	PUNCT
fis-1451	64	13	and	and	CCONJ
fis-1451	64	14	chebyshev	chebyshev	VERB
fis-1451	64	15	’s	’s	PART
fis-1451	64	16	nodes	node	NOUN
fis-1451	64	17	on	on	ADP
fis-1451	64	18	the	the	DET
fis-1451	64	19	crack	crack	NOUN
fis-1451	64	20	face(c	face(c	PROPN
fis-1451	64	21	,	,	PUNCT
fis-1451	64	22	d	d	NOUN
fis-1451	64	23	)	)	PUNCT
fis-1451	64	24	.	.	PUNCT
fis-1451	65	1	we	we	PRON
fis-1451	65	2	assumed	assume	VERB
fis-1451	65	3	that	that	SCONJ
fis-1451	65	4	a	a	DET
fis-1451	65	5	single	single	ADJ
fis-1451	65	6	hole	hole	NOUN
fis-1451	65	7	with	with	ADP
fis-1451	65	8	two	two	NUM
fis-1451	65	9	radial	radial	ADJ
fis-1451	65	10	cracks	crack	NOUN
fis-1451	65	11	is	be	AUX
fis-1451	65	12	located	locate	VERB
fis-1451	65	13	in	in	ADP
fis-1451	65	14	the	the	DET
fis-1451	65	15	infinite	infinite	ADJ
fis-1451	65	16	plate	plate	NOUN
fis-1451	65	17	made	make	VERB
fis-1451	65	18	of	of	ADP
fis-1451	65	19	an	an	DET
fis-1451	65	20	isotropic	isotropic	ADJ
fis-1451	65	21	elastic	elastic	ADJ
fis-1451	65	22	perfectly	perfectly	ADV
fis-1451	65	23	plastic	plastic	ADJ
fis-1451	65	24	material	material	NOUN
fis-1451	65	25	,	,	PUNCT
fis-1451	65	26	the	the	DET
fis-1451	65	27	zones	zone	NOUN
fis-1451	65	28	of	of	ADP
fis-1451	65	29	plasticity	plasticity	NOUN
fis-1451	65	30	are	be	AUX
fis-1451	65	31	localized	localize	VERB
fis-1451	65	32	along	along	ADP
fis-1451	65	33	the	the	DET
fis-1451	65	34	crack	crack	NOUN
fis-1451	65	35	prolongations	prolongation	NOUN
fis-1451	65	36	and	and	CCONJ
fis-1451	65	37	the	the	DET
fis-1451	65	38	compressive	compressive	ADJ
fis-1451	65	39	stresses	stress	NOUN
fis-1451	65	40	within	within	ADP
fis-1451	65	41	the	the	DET
fis-1451	65	42	plastic	plastic	ADJ
fis-1451	65	43	zones	zone	NOUN
fis-1451	65	44	pz	pz	NOUN
fis-1451	65	45	are	be	AUX
fis-1451	65	46	equal	equal	ADJ
fis-1451	65	47	to	to	ADP
fis-1451	65	48	the	the	DET
fis-1451	65	49	tensile	tensile	NOUN
fis-1451	65	50	yield	yield	NOUN
fis-1451	65	51	limit	limit	NOUN
fis-1451	65	52	y	y	PROPN
fis-1451	65	53	(	(	PUNCT
fis-1451	65	54	fig	fig	NOUN
fis-1451	65	55	.	.	PUNCT
fis-1451	65	56	4a	4a	NUM
fis-1451	65	57	)	)	PUNCT
fis-1451	65	58	.	.	PUNCT
fis-1451	66	1	the	the	DET
fis-1451	66	2	problem	problem	NOUN
fis-1451	66	3	can	can	AUX
fis-1451	66	4	be	be	AUX
fis-1451	66	5	formulated	formulate	VERB
fis-1451	66	6	in	in	ADP
fis-1451	66	7	terms	term	NOUN
fis-1451	66	8	of	of	ADP
fis-1451	66	9	a	a	DET
fis-1451	66	10	singular	singular	ADJ
fis-1451	66	11	integral	integral	ADJ
fis-1451	66	12	equation	equation	NOUN
fis-1451	66	13	(	(	PUNCT
fis-1451	66	14	sie	sie	PROPN
fis-1451	66	15	)	)	PUNCT
fis-1451	66	16	of	of	ADP
fis-1451	66	17	a	a	DET
fis-1451	66	18	form	form	NOUN
fis-1451	66	19	:	:	PUNCT
fis-1451	66	20			NOUN
fis-1451	66	21			SYM
fis-1451	66	22			NOUN
fis-1451	66	23			PROPN
fis-1451	66	24	'	'	PUNCT
fis-1451	66	25	,	,	PUNCT
fis-1451	66	26	        	        	SPACE
fis-1451	67	1	l	l	NOUN
fis-1451	67	2	g	g	PROPN
fis-1451	67	3	t	t	PROPN
fis-1451	67	4	dt	dt	X
fis-1451	68	1	p	p	X
fis-1451	68	2	x	x	X
fis-1451	68	3	x	x	PUNCT
fis-1451	68	4	l	l	NOUN
fis-1451	68	5	t	t	NOUN
fis-1451	68	6	x	x	X
fis-1451	68	7			NUM
fis-1451	68	8			NOUN
fis-1451	68	9			NOUN
fis-1451	68	10	(	(	PUNCT
fis-1451	68	11	1	1	NUM
fis-1451	68	12	)	)	PUNCT
fis-1451	68	13	where	where	SCONJ
fis-1451	68	14	t	t	NOUN
fis-1451	68	15	and	and	CCONJ
fis-1451	68	16	x	x	PRON
fis-1451	68	17	are	be	AUX
fis-1451	68	18	coordinates	coordinate	NOUN
fis-1451	68	19	of	of	ADP
fis-1451	68	20	the	the	DET
fis-1451	68	21	points	point	NOUN
fis-1451	68	22	on	on	ADP
fis-1451	68	23	the	the	DET
fis-1451	68	24	crack	crack	NOUN
fis-1451	68	25	contour	contour	NOUN
fis-1451	68	26	l	l	NOUN
fis-1451	68	27	,	,	PUNCT
fis-1451	68	28	p(x	p(x	PROPN
fis-1451	68	29	)	)	PUNCT
fis-1451	69	1	is	be	AUX
fis-1451	69	2	a	a	DET
fis-1451	69	3	crack	crack	NOUN
fis-1451	69	4	surface	surface	NOUN
fis-1451	69	5	traction	traction	NOUN
fis-1451	69	6	.	.	PUNCT
fis-1451	70	1	the	the	DET
fis-1451	70	2	unknown	unknown	ADJ
fis-1451	70	3	function	function	NOUN
fis-1451	70	4	g(t	g(t	PROPN
fis-1451	70	5	)	)	PUNCT
fis-1451	70	6	is	be	AUX
fis-1451	70	7	expressed	express	VERB
fis-1451	70	8	using	use	VERB
fis-1451	70	9	the	the	DET
fis-1451	70	10	muskhelishvili	muskhelishvili	NOUN
fis-1451	70	11	's	's	PART
fis-1451	70	12	complex	complex	ADJ
fis-1451	70	13	variable	variable	ADJ
fis-1451	70	14	formulation	formulation	NOUN
fis-1451	70	15	[	[	X
fis-1451	70	16	6	6	NUM
fis-1451	70	17	]	]	PUNCT
fis-1451	70	18	via	via	ADP
fis-1451	70	19	the	the	DET
fis-1451	70	20	displacement	displacement	ADJ
fis-1451	70	21	dcontinuity	dcontinuity	NOUN
fis-1451	70	22	across	across	ADP
fis-1451	70	23	the	the	DET
fis-1451	70	24	crack	crack	NOUN
fis-1451	70	25	contour	contour	NOUN
fis-1451	70	26	l	l	NOUN
fis-1451	70	27	:	:	PUNCT
fis-1451	70	28			NOUN
fis-1451	70	29			SYM
fis-1451	70	30			NOUN
fis-1451	70	31			SYM
fis-1451	70	32			NOUN
fis-1451	70	33			PUNCT
fis-1451	70	34			NOUN
fis-1451	70	35			PROPN
fis-1451	70	36	'	'	PART
fis-1451	70	37	v	v	NOUN
fis-1451	70	38	v	v	NUM
fis-1451	70	39	2	2	NUM
fis-1451	70	40	1	1	NUM
fis-1451	70	41	æ	æ	NOUN
fis-1451	70	42	,	,	PUNCT
fis-1451	70	43	    	    	SPACE
fis-1451	70	44	d	d	PUNCT
fis-1451	70	45	u	u	VERB
fis-1451	70	46	i	i	PRON
fis-1451	70	47	u	u	VERB
fis-1451	71	1	i	i	PRON
fis-1451	71	2	g	g	VERB
fis-1451	72	1	i	i	PRON
fis-1451	72	2	g	g	PROPN
fis-1451	72	3	t	t	PROPN
fis-1451	72	4	t	t	PROPN
fis-1451	72	5	l	l	NOUN
fis-1451	72	6	dt	dt	ADP
fis-1451	72	7			PROPN
fis-1451	72	8			PROPN
fis-1451	72	9			PUNCT
fis-1451	72	10			PROPN
fis-1451	72	11			PROPN
fis-1451	72	12			PROPN
fis-1451	72	13			PROPN
fis-1451	72	14			PUNCT
fis-1451	72	15			NOUN
fis-1451	72	16	(	(	PUNCT
fis-1451	72	17	2	2	NUM
fis-1451	72	18	)	)	PUNCT
fis-1451	72	19	here	here	ADV
fis-1451	72	20	u	u	SYM
fis-1451	72	21	,	,	PUNCT
fis-1451	72	22	v	v	NUM
fis-1451	72	23	are	be	AUX
fis-1451	72	24	the	the	DET
fis-1451	72	25	contour	contour	ADJ
fis-1451	72	26	displacement	displacement	ADJ
fis-1451	72	27	components	component	NOUN
fis-1451	72	28	in	in	ADP
fis-1451	72	29	x	x	X
fis-1451	72	30	and	and	CCONJ
fis-1451	72	31	y	y	PROPN
fis-1451	72	32	directions	direction	NOUN
fis-1451	72	33	,	,	PUNCT
fis-1451	72	34	respectively	respectively	ADV
fis-1451	72	35	,	,	PUNCT
fis-1451	72	36			NOUN
fis-1451	72	37	2	2	NOUN
fis-1451	72	38	1	1	NUM
fis-1451	72	39	e	e	NOUN
fis-1451	72	40	g	g	PROPN
fis-1451	72	41			PROPN
fis-1451	73	1			PROPN
fis-1451	73	2			ADV
fis-1451	73	3	is	be	AUX
fis-1451	73	4	the	the	DET
fis-1451	73	5	shear	shear	NOUN
fis-1451	73	6	modulus	modulus	NOUN
fis-1451	73	7	,	,	PUNCT
fis-1451	73	8	e	e	X
fis-1451	73	9	is	be	AUX
fis-1451	73	10	the	the	DET
fis-1451	73	11	modulus	modulus	NOUN
fis-1451	73	12	of	of	ADP
fis-1451	73	13	elasticity	elasticity	NOUN
fis-1451	73	14	,	,	PUNCT
fis-1451	73	15			ADJ
fis-1451	73	16	is	be	AUX
fis-1451	73	17	the	the	DET
fis-1451	73	18	poisson	poisson	NOUN
fis-1451	73	19	’s	’s	PART
fis-1451	73	20	ratio	ratio	NOUN
fis-1451	73	21	,	,	PUNCT
fis-1451	73	22	3	3	NUM
fis-1451	73	23	1	1	NUM
fis-1451	73	24	æ	æ	PROPN
fis-1451	73	25			INTJ
fis-1451	73	26			ADJ
fis-1451	73	27			PROPN
fis-1451	73	28			PROPN
fis-1451	73	29			ADV
fis-1451	73	30	is	be	AUX
fis-1451	73	31	the	the	DET
fis-1451	73	32	elastic	elastic	ADJ
fis-1451	73	33	parameter	parameter	NOUN
fis-1451	73	34	for	for	ADP
fis-1451	73	35	the	the	DET
fis-1451	73	36	plane	plane	NOUN
fis-1451	73	37	stress	stress	NOUN
fis-1451	73	38	and	and	CCONJ
fis-1451	73	39	3	3	NUM
fis-1451	73	40	4æ	4æ	NOUN
fis-1451	73	41			ADJ
fis-1451	73	42			NOUN
fis-1451	73	43	for	for	ADP
fis-1451	73	44	the	the	DET
fis-1451	73	45	plane	plane	NOUN
fis-1451	73	46	strain	strain	NOUN
fis-1451	73	47	.	.	PUNCT
fis-1451	74	1	t	t	PROPN
fis-1451	74	2	i.	i.	PROPN
fis-1451	74	3	telichev	telichev	PROPN
fis-1451	74	4	,	,	PUNCT
fis-1451	74	5	frattura	frattura	PROPN
fis-1451	74	6	ed	ed	PROPN
fis-1451	74	7	integrità	integrità	PROPN
fis-1451	74	8	strutturale	strutturale	PROPN
fis-1451	74	9	,	,	PUNCT
fis-1451	74	10	32	32	NUM
fis-1451	74	11	(	(	PUNCT
fis-1451	74	12	2015	2015	NUM
fis-1451	74	13	)	)	PUNCT
fis-1451	74	14	24	24	NUM
fis-1451	74	15	-	-	SYM
fis-1451	74	16	34	34	NUM
fis-1451	74	17	;	;	PUNCT
fis-1451	74	18	doi	doi	NOUN
fis-1451	74	19	:	:	PUNCT
fis-1451	74	20	10.3221	10.3221	NUM
fis-1451	74	21	/	/	SYM
fis-1451	74	22	igf	igf	PROPN
fis-1451	74	23	-	-	PUNCT
fis-1451	74	24	esis.32.03	esis.32.03	NUM
fis-1451	74	25	28	28	NUM
fis-1451	74	26	t	t	NOUN
fis-1451	74	27	singular	singular	ADJ
fis-1451	74	28	integral	integral	ADJ
fis-1451	74	29	equation	equation	NOUN
fis-1451	74	30	technique	technique	NOUN
fis-1451	74	31	is	be	AUX
fis-1451	74	32	a	a	DET
fis-1451	74	33	powerful	powerful	ADJ
fis-1451	74	34	alternative	alternative	NOUN
fis-1451	74	35	to	to	ADP
fis-1451	74	36	the	the	DET
fis-1451	74	37	finite	finite	ADJ
fis-1451	74	38	element	element	NOUN
fis-1451	74	39	method	method	NOUN
fis-1451	74	40	in	in	ADP
fis-1451	74	41	the	the	DET
fis-1451	74	42	non	non	ADJ
fis-1451	74	43	-	-	ADJ
fis-1451	74	44	linear	linear	ADJ
fis-1451	74	45	analysis	analysis	NOUN
fis-1451	74	46	of	of	ADP
fis-1451	74	47	crack	crack	NOUN
fis-1451	74	48	propagation	propagation	NOUN
fis-1451	74	49	which	which	PRON
fis-1451	74	50	provides	provide	VERB
fis-1451	74	51	very	very	ADV
fis-1451	74	52	rapid	rapid	ADJ
fis-1451	74	53	convergence	convergence	NOUN
fis-1451	74	54	of	of	ADP
fis-1451	74	55	the	the	DET
fis-1451	74	56	numerical	numerical	ADJ
fis-1451	74	57	results	result	NOUN
fis-1451	74	58	[	[	X
fis-1451	74	59	7	7	NUM
fis-1451	74	60	-	-	SYM
fis-1451	74	61	11	11	NUM
fis-1451	74	62	]	]	PUNCT
fis-1451	74	63	.	.	PUNCT
fis-1451	75	1	fig	fig	NOUN
fis-1451	75	2	.	.	PUNCT
fis-1451	76	1	5	5	NUM
fis-1451	76	2	summarizes	summarize	VERB
fis-1451	76	3	the	the	DET
fis-1451	76	4	procedure	procedure	NOUN
fis-1451	76	5	of	of	ADP
fis-1451	76	6	non	non	ADJ
fis-1451	76	7	-	-	ADJ
fis-1451	76	8	linear	linear	ADJ
fis-1451	76	9	fracture	fracture	NOUN
fis-1451	76	10	analysis	analysis	NOUN
fis-1451	76	11	which	which	PRON
fis-1451	76	12	employs	employ	VERB
fis-1451	76	13	the	the	DET
fis-1451	76	14	method	method	NOUN
fis-1451	76	15	of	of	ADP
fis-1451	76	16	singular	singular	ADJ
fis-1451	76	17	integral	integral	ADJ
fis-1451	76	18	equation	equation	NOUN
fis-1451	76	19	and	and	CCONJ
fis-1451	76	20	includes	include	VERB
fis-1451	76	21	the	the	DET
fis-1451	76	22	following	following	ADJ
fis-1451	76	23	basic	basic	ADJ
fis-1451	76	24	steps	step	NOUN
fis-1451	76	25	:	:	PUNCT
fis-1451	76	26	modules	module	NOUN
fis-1451	76	27	1	1	NUM
fis-1451	76	28	-	-	SYM
fis-1451	76	29	2	2	NUM
fis-1451	76	30	:	:	PUNCT
fis-1451	76	31	the	the	DET
fis-1451	76	32	analysis	analysis	NOUN
fis-1451	76	33	starts	start	VERB
fis-1451	76	34	with	with	ADP
fis-1451	76	35	specifying	specify	VERB
fis-1451	76	36	the	the	DET
fis-1451	76	37	design	design	NOUN
fis-1451	76	38	and	and	CCONJ
fis-1451	76	39	material	material	NOUN
fis-1451	76	40	characteristics	characteristic	NOUN
fis-1451	76	41	of	of	ADP
fis-1451	76	42	the	the	DET
fis-1451	76	43	pressure	pressure	NOUN
fis-1451	76	44	wall	wall	NOUN
fis-1451	76	45	and	and	CCONJ
fis-1451	76	46	determining	determine	VERB
fis-1451	76	47	the	the	DET
fis-1451	76	48	impact	impact	NOUN
fis-1451	76	49	hole	hole	NOUN
fis-1451	76	50	parameters	parameter	NOUN
fis-1451	76	51	.	.	PUNCT
fis-1451	77	1	module	module	NOUN
fis-1451	77	2	3	3	NUM
fis-1451	77	3	:	:	PUNCT
fis-1451	77	4	the	the	DET
fis-1451	77	5	piecewise	piecewise	NOUN
fis-1451	77	6	traction	traction	NOUN
fis-1451	77	7	distribution	distribution	NOUN
fis-1451	77	8	p(x	p(x	NOUN
fis-1451	77	9	)	)	PUNCT
fis-1451	77	10	is	be	AUX
fis-1451	77	11	applied	apply	VERB
fis-1451	77	12	to	to	ADP
fis-1451	77	13	the	the	DET
fis-1451	77	14	crack	crack	NOUN
fis-1451	77	15	surface	surface	NOUN
fis-1451	77	16	as	as	SCONJ
fis-1451	77	17	it	it	PRON
fis-1451	77	18	is	be	AUX
fis-1451	77	19	shown	show	VERB
fis-1451	77	20	in	in	ADP
fis-1451	77	21	fig	fig	NOUN
fis-1451	77	22	.	.	PUNCT
fis-1451	78	1	4	4	NUM
fis-1451	78	2	-	-	NOUN
fis-1451	78	3	b.	b.	NOUN
fis-1451	78	4	it	it	PRON
fis-1451	78	5	divides	divide	VERB
fis-1451	78	6	the	the	DET
fis-1451	78	7	contour	contour	NOUN
fis-1451	78	8	into	into	ADP
fis-1451	78	9	5	5	NUM
fis-1451	78	10	portions	portion	NOUN
fis-1451	78	11	(	(	PUNCT
fis-1451	78	12	links	link	NOUN
fis-1451	78	13	)	)	PUNCT
fis-1451	78	14	l0	l0	PROPN
fis-1451	78	15	,	,	PUNCT
fis-1451	78	16	l1	l1	PROPN
fis-1451	78	17	,	,	PUNCT
fis-1451	78	18	l2	l2	NOUN
fis-1451	78	19	,	,	PUNCT
fis-1451	78	20	l3	l3	PROPN
fis-1451	78	21	and	and	CCONJ
fis-1451	78	22	l4	l4	PROPN
fis-1451	78	23	,	,	PUNCT
fis-1451	78	24	where	where	SCONJ
fis-1451	78	25	each	each	DET
fis-1451	78	26	piece	piece	NOUN
fis-1451	78	27	of	of	ADP
fis-1451	78	28	the	the	DET
fis-1451	78	29	traction	traction	NOUN
fis-1451	78	30	function	function	NOUN
fis-1451	78	31	is	be	AUX
fis-1451	78	32	differentiable	differentiable	ADJ
fis-1451	78	33	throughout	throughout	ADP
fis-1451	78	34	each	each	DET
fis-1451	78	35	individual	individual	ADJ
fis-1451	78	36	link	link	NOUN
fis-1451	78	37	.	.	PUNCT
fis-1451	79	1	the	the	DET
fis-1451	79	2	traction	traction	NOUN
fis-1451	79	3	-	-	PUNCT
fis-1451	79	4	free	free	ADJ
fis-1451	79	5	link	link	NOUN
fis-1451	79	6	l0	l0	PROPN
fis-1451	79	7	corresponds	correspond	VERB
fis-1451	79	8	to	to	ADP
fis-1451	79	9	the	the	DET
fis-1451	79	10	hole	hole	NOUN
fis-1451	79	11	,	,	PUNCT
fis-1451	79	12	links	link	NOUN
fis-1451	79	13	l1	l1	PROPN
fis-1451	79	14	and	and	CCONJ
fis-1451	79	15	l3	l3	PROPN
fis-1451	79	16	are	be	AUX
fis-1451	79	17	radial	radial	ADJ
fis-1451	79	18	cracks	crack	NOUN
fis-1451	79	19	and	and	CCONJ
fis-1451	79	20	links	link	NOUN
fis-1451	79	21	l2	l2	VERB
fis-1451	79	22	and	and	CCONJ
fis-1451	79	23	l4	l4	PROPN
fis-1451	79	24	represent	represent	VERB
fis-1451	79	25	the	the	DET
fis-1451	79	26	plastic	plastic	ADJ
fis-1451	79	27	zones	zone	NOUN
fis-1451	79	28	.	.	PUNCT
fis-1451	80	1	the	the	DET
fis-1451	80	2	solution	solution	NOUN
fis-1451	80	3	of	of	ADP
fis-1451	80	4	the	the	DET
fis-1451	80	5	singular	singular	NOUN
fis-1451	80	6	integral	integral	ADJ
fis-1451	80	7	eq	eq	X
fis-1451	80	8	.	.	PUNCT
fis-1451	81	1	(	(	PUNCT
fis-1451	81	2	1	1	X
fis-1451	81	3	)	)	PUNCT
fis-1451	81	4	must	must	AUX
fis-1451	81	5	satisfy	satisfy	VERB
fis-1451	81	6	the	the	DET
fis-1451	81	7	condition	condition	NOUN
fis-1451	81	8	of	of	ADP
fis-1451	81	9	single	single	ADJ
fis-1451	81	10	-	-	PUNCT
fis-1451	81	11	valuedness	valuedness	NOUN
fis-1451	81	12	of	of	ADP
fis-1451	81	13	displacements	displacement	NOUN
fis-1451	81	14	for	for	ADP
fis-1451	81	15	the	the	DET
fis-1451	81	16	crack	crack	NOUN
fis-1451	81	17	contour	contour	NOUN
fis-1451	81	18	:	:	PUNCT
fis-1451	81	19	0	0	NUM
fis-1451	81	20	0	0	NUM
fis-1451	81	21	'	'	PUNCT
fis-1451	81	22	'	'	NUM
fis-1451	81	23	0	0	NUM
fis-1451	81	24	0	0	NUM
fis-1451	81	25	1	1	NUM
fis-1451	81	26	(	(	PUNCT
fis-1451	81	27	)	)	PUNCT
fis-1451	81	28	exp	exp	NOUN
fis-1451	81	29	(	(	PUNCT
fis-1451	81	30	)	)	PUNCT
fis-1451	81	31	(	(	PUNCT
fis-1451	81	32	)	)	PUNCT
fis-1451	81	33	0	0	NUM
fis-1451	82	1	q	q	NOUN
fis-1451	83	1	q	q	X
fis-1451	83	2	ll	ll	AUX
fis-1451	83	3	h	h	NOUN
fis-1451	83	4	q	q	NOUN
fis-1451	83	5	q	q	X
fis-1451	83	6	q	q	X
fis-1451	83	7	q	q	X
fis-1451	83	8	ql	ql	INTJ
fis-1451	83	9	l	l	NOUN
fis-1451	83	10	g	g	NOUN
fis-1451	84	1	t	t	X
fis-1451	84	2	dt	dt	X
fis-1451	85	1	i	i	PRON
fis-1451	85	2	g	g	PROPN
fis-1451	85	3	t	t	PROPN
fis-1451	85	4	dt	dt	ADJ
fis-1451	85	5			PROPN
fis-1451	85	6			PROPN
fis-1451	85	7			NOUN
fis-1451	85	8			PROPN
fis-1451	85	9			PROPN
fis-1451	85	10			PROPN
fis-1451	85	11			PROPN
fis-1451	85	12			NUM
fis-1451	85	13			PROPN
fis-1451	85	14			PROPN
fis-1451	85	15			NUM
fis-1451	85	16			PUNCT
fis-1451	85	17	where	where	SCONJ
fis-1451	85	18	h	h	NOUN
fis-1451	85	19	reflects	reflect	VERB
fis-1451	85	20	the	the	DET
fis-1451	85	21	total	total	ADJ
fis-1451	85	22	number	number	NOUN
fis-1451	85	23	of	of	ADP
fis-1451	85	24	links	link	NOUN
fis-1451	85	25	within	within	ADP
fis-1451	85	26	the	the	DET
fis-1451	85	27	crack	crack	NOUN
fis-1451	85	28	;	;	PUNCT
fis-1451	85	29	q	q	X
fis-1451	85	30	is	be	AUX
fis-1451	85	31	the	the	DET
fis-1451	85	32	current	current	ADJ
fis-1451	85	33	number	number	NOUN
fis-1451	85	34	of	of	ADP
fis-1451	85	35	link;	link;	PROPN
fis-1451	85	36	is	be	AUX
fis-1451	85	37	the	the	DET
fis-1451	85	38	angle	angle	NOUN
fis-1451	85	39	of	of	ADP
fis-1451	85	40	link	link	NOUN
fis-1451	85	41	inclination	inclination	NOUN
fis-1451	85	42	and	and	CCONJ
fis-1451	85	43	l	l	NOUN
fis-1451	85	44	is	be	AUX
fis-1451	85	45	half	half	NOUN
fis-1451	85	46	of	of	ADP
fis-1451	85	47	the	the	DET
fis-1451	85	48	crack	crack	NOUN
fis-1451	85	49	link	link	NOUN
fis-1451	85	50	.	.	PUNCT
fis-1451	86	1	also	also	ADV
fis-1451	86	2	,	,	PUNCT
fis-1451	86	3	the	the	DET
fis-1451	86	4	symmetry	symmetry	NOUN
fis-1451	86	5	of	of	ADP
fis-1451	86	6	the	the	DET
fis-1451	86	7	problem	problem	NOUN
fis-1451	86	8	and	and	CCONJ
fis-1451	86	9	link	link	VERB
fis-1451	86	10	angular	angular	ADJ
fis-1451	86	11	positions	position	NOUN
fis-1451	86	12	(	(	PUNCT
fis-1451	86	13	1=2=0	1=2=0	PROPN
fis-1451	86	14	,	,	PUNCT
fis-1451	86	15	3=4	3=4	VERB
fis-1451	86	16	=	=	SYM
fis-1451	86	17	π	π	NOUN
fis-1451	86	18	)	)	PUNCT
fis-1451	86	19	were	be	AUX
fis-1451	86	20	taken	take	VERB
fis-1451	86	21	into	into	ADP
fis-1451	86	22	account	account	NOUN
fis-1451	86	23	.	.	PUNCT
fis-1451	87	1	module	module	NOUN
fis-1451	87	2	4	4	NUM
fis-1451	87	3	:	:	PUNCT
fis-1451	87	4	unlike	unlike	ADP
fis-1451	87	5	the	the	DET
fis-1451	87	6	finite	finite	PROPN
fis-1451	87	7	element	element	NOUN
fis-1451	87	8	method	method	VERB
fis-1451	87	9	the	the	DET
fis-1451	87	10	method	method	NOUN
fis-1451	87	11	of	of	ADP
fis-1451	87	12	singular	singular	ADJ
fis-1451	87	13	integral	integral	ADJ
fis-1451	87	14	equations	equation	NOUN
fis-1451	87	15	is	be	AUX
fis-1451	87	16	free	free	ADJ
fis-1451	87	17	of	of	ADP
fis-1451	87	18	mesh	mesh	NOUN
fis-1451	87	19	generation	generation	NOUN
fis-1451	87	20	and	and	CCONJ
fis-1451	87	21	only	only	ADV
fis-1451	87	22	nodes	node	NOUN
fis-1451	87	23	are	be	AUX
fis-1451	87	24	needed	need	VERB
fis-1451	87	25	.	.	PUNCT
fis-1451	88	1	the	the	DET
fis-1451	88	2	chebyshev	chebyshev	PROPN
fis-1451	88	3	’s	’s	PART
fis-1451	88	4	nodes	node	NOUN
fis-1451	88	5	with	with	ADP
fis-1451	88	6	normalized	normalize	VERB
fis-1451	88	7	coordinates	coordinate	NOUN
fis-1451	88	8			X
fis-1451	88	9	and	and	CCONJ
fis-1451	88	10			PRON
fis-1451	88	11	changing	change	VERB
fis-1451	88	12	from	from	ADP
fis-1451	88	13	-1	-1	INTJ
fis-1451	88	14	to	to	ADP
fis-1451	88	15	1are	1are	PROPN
fis-1451	88	16	generated	generate	VERB
fis-1451	88	17	on	on	ADP
fis-1451	88	18	each	each	DET
fis-1451	88	19	link	link	NOUN
fis-1451	88	20	of	of	ADP
fis-1451	88	21	the	the	DET
fis-1451	88	22	contour	contour	NOUN
fis-1451	88	23	(	(	PUNCT
fis-1451	88	24	fig	fig	NOUN
fis-1451	88	25	.	.	PUNCT
fis-1451	89	1	4c	4c	NOUN
fis-1451	89	2	,	,	PUNCT
fis-1451	89	3	d	d	NOUN
fis-1451	89	4	)	)	PUNCT
fis-1451	89	5	where	where	SCONJ
fis-1451	89	6			PUNCT
fis-1451	89	7			ADJ
fis-1451	89	8			PUNCT
fis-1451	89	9			VERB
fis-1451	89	10			VERB
fis-1451	89	11			PROPN
fis-1451	89	12	[	[	PUNCT
fis-1451	89	13	(	(	PUNCT
fis-1451	89	14	2	2	NUM
fis-1451	89	15	1)/	1)/	NUM
fis-1451	89	16	(	(	PUNCT
fis-1451	89	17	2	2	NUM
fis-1451	89	18	)	)	PUNCT
fis-1451	89	19	]	]	PUNCT
fis-1451	89	20	,	,	PUNCT
fis-1451	89	21	   	   	SPACE
fis-1451	89	22	[	[	PUNCT
fis-1451	89	23	/	/	SYM
fis-1451	89	24	(	(	PUNCT
fis-1451	89	25	2	2	NUM
fis-1451	89	26	)	)	PUNCT
fis-1451	89	27	]	]	X
fis-1451	89	28	k	k	PROPN
fis-1451	89	29	mcos	mcos	PROPN
fis-1451	89	30	k	k	PROPN
fis-1451	89	31	n	n	PROPN
fis-1451	89	32	cos	cos	PROPN
fis-1451	89	33	m	m	PROPN
fis-1451	89	34	n	n	NUM
fis-1451	89	35	,	,	PUNCT
fis-1451	89	36	1	1	NUM
fis-1451	89	37	,	,	PUNCT
fis-1451	89	38	   	   	SPACE
fis-1451	89	39	,	,	PUNCT
fis-1451	89	40	 	 	SPACE
fis-1451	89	41	k	k	PROPN
fis-1451	90	1	n	n	PROPN
fis-1451	90	2	1	1	NUM
fis-1451	90	3	,	,	PUNCT
fis-1451	90	4	 	 	SPACE
fis-1451	90	5	(	(	PUNCT
fis-1451	90	6	1)m	1)m	NUM
fis-1451	90	7	n	n	PROPN
fis-1451	90	8			NOUN
fis-1451	90	9	.	.	PUNCT
fis-1451	91	1	the	the	DET
fis-1451	91	2	open	open	ADJ
fis-1451	91	3	circles	circle	NOUN
fis-1451	91	4	indicate	indicate	VERB
fis-1451	91	5	the	the	DET
fis-1451	91	6	points	point	NOUN
fis-1451	91	7	ξ1	ξ1	NOUN
fis-1451	91	8	,	,	PUNCT
fis-1451	91	9	..	..	PUNCT
fis-1451	91	10	,	,	PUNCT
fis-1451	91	11	ξn	ξn	NOUN
fis-1451	91	12	on	on	ADP
fis-1451	91	13	the	the	DET
fis-1451	91	14	crack	crack	NOUN
fis-1451	91	15	faces	face	NOUN
fis-1451	91	16	where	where	SCONJ
fis-1451	91	17	displacements	displacement	NOUN
fis-1451	91	18	are	be	AUX
fis-1451	91	19	calculated	calculate	VERB
fis-1451	91	20	.	.	PUNCT
fis-1451	92	1	the	the	DET
fis-1451	92	2	closed	close	VERB
fis-1451	92	3	circles	circle	NOUN
fis-1451	92	4	correspond	correspond	VERB
fis-1451	92	5	to	to	ADP
fis-1451	92	6	the	the	DET
fis-1451	92	7	traction	traction	NOUN
fis-1451	92	8	nodes	node	NOUN
fis-1451	92	9	η1	η1	NOUN
fis-1451	92	10	,	,	PUNCT
fis-1451	92	11	..	..	PUNCT
fis-1451	92	12	,	,	PUNCT
fis-1451	92	13	ηn-1	ηn-1	PROPN
fis-1451	92	14	.	.	PUNCT
fis-1451	93	1	the	the	DET
fis-1451	93	2	normalized	normalize	VERB
fis-1451	93	3	coordinates	coordinate	NOUN
fis-1451	93	4			X
fis-1451	93	5	and	and	CCONJ
fis-1451	93	6			AUX
fis-1451	93	7	change	change	VERB
fis-1451	93	8	from	from	ADP
fis-1451	93	9	-1	-1	INTJ
fis-1451	93	10	to	to	ADP
fis-1451	93	11	1	1	NUM
fis-1451	93	12	.	.	PUNCT
fis-1451	93	13	module	module	NOUN
fis-1451	93	14	5	5	NUM
fis-1451	93	15	:	:	PUNCT
fis-1451	93	16	an	an	DET
fis-1451	93	17	efficient	efficient	ADJ
fis-1451	93	18	approach	approach	NOUN
fis-1451	93	19	to	to	AUX
fis-1451	93	20	account	account	NOUN
fis-1451	93	21	for	for	ADP
fis-1451	93	22	the	the	DET
fis-1451	93	23	jump	jump	NOUN
fis-1451	93	24	discontinuities	discontinuity	NOUN
fis-1451	93	25	of	of	ADP
fis-1451	93	26	traction	traction	NOUN
fis-1451	93	27	applied	apply	VERB
fis-1451	93	28	to	to	ADP
fis-1451	93	29	the	the	DET
fis-1451	93	30	crack	crack	NOUN
fis-1451	93	31	faces	face	NOUN
fis-1451	93	32	was	be	AUX
fis-1451	93	33	proposed	propose	VERB
fis-1451	93	34	by	by	ADP
fis-1451	93	35	savruk	savruk	NOUN
fis-1451	94	1	[	[	X
fis-1451	94	2	7	7	NUM
fis-1451	94	3	]	]	PUNCT
fis-1451	94	4	.	.	PUNCT
fis-1451	95	1	following	follow	VERB
fis-1451	95	2	[	[	X
fis-1451	95	3	7	7	X
fis-1451	95	4	]	]	X
fis-1451	95	5	the	the	DET
fis-1451	95	6	eq	eq	NOUN
fis-1451	95	7	.	.	PUNCT
fis-1451	96	1	(	(	PUNCT
fis-1451	96	2	1	1	NUM
fis-1451	96	3	)	)	PUNCT
fis-1451	96	4	for	for	ADP
fis-1451	96	5	the	the	DET
fis-1451	96	6	case	case	NOUN
fis-1451	96	7	of	of	ADP
fis-1451	96	8	5	5	NUM
fis-1451	96	9	-	-	PUNCT
fis-1451	96	10	link	link	NOUN
fis-1451	96	11	crack	crack	NOUN
fis-1451	96	12	is	be	AUX
fis-1451	96	13	replaced	replace	VERB
fis-1451	96	14	by	by	ADP
fis-1451	96	15	the	the	DET
fis-1451	96	16	system	system	NOUN
fis-1451	96	17	of	of	ADP
fis-1451	96	18	singular	singular	ADJ
fis-1451	96	19	integral	integral	ADJ
fis-1451	96	20	equations	equation	NOUN
fis-1451	96	21	:	:	PUNCT
fis-1451	97	1			NOUN
fis-1451	97	2			SYM
fis-1451	97	3			NOUN
fis-1451	97	4			SYM
fis-1451	97	5			NOUN
fis-1451	97	6			SYM
fis-1451	97	7			NOUN
fis-1451	97	8			SYM
fis-1451	97	9			NOUN
fis-1451	97	10			SYM
fis-1451	97	11			NOUN
fis-1451	97	12			SYM
fis-1451	97	13			NOUN
fis-1451	97	14			SYM
fis-1451	97	15			NOUN
fis-1451	97	16			SYM
fis-1451	97	17			NOUN
fis-1451	97	18			PUNCT
fis-1451	97	19			NOUN
fis-1451	97	20			PROPN
fis-1451	97	21	1	1	NUM
fis-1451	97	22	0	0	NUM
fis-1451	97	23	0	0	NUM
fis-1451	97	24	1	1	NUM
fis-1451	97	25	3	3	NUM
fis-1451	97	26	1	1	NUM
fis-1451	97	27	1	1	NUM
fis-1451	97	28	2	2	NUM
fis-1451	97	29	4	4	NUM
fis-1451	97	30	2	2	NUM
fis-1451	97	31	1	1	NUM
fis-1451	97	32	0	0	NUM
fis-1451	97	33	1	1	NUM
fis-1451	97	34	,	,	PUNCT
fis-1451	97	35	,	,	PUNCT
fis-1451	97	36	,	,	PUNCT
fis-1451	97	37	                      	                      	SPACE
fis-1451	97	38	,	,	PUNCT
fis-1451	97	39	,	,	PUNCT
fis-1451	97	40	}	}	PUNCT
fis-1451	97	41	,	,	PUNCT
fis-1451	97	42	     	     	SPACE
fis-1451	97	43	0	0	NUM
fis-1451	97	44	,	,	PUNCT
fis-1451	97	45	 	 	SPACE
fis-1451	97	46	2	2	NUM
fis-1451	97	47	        	        	SPACE
fis-1451	97	48	0	0	NUM
fis-1451	97	49	n	n	CCONJ
fis-1451	97	50	n	n	CCONJ
fis-1451	97	51	n	n	CCONJ
fis-1451	97	52	n	n	CCONJ
fis-1451	97	53	n	n	CCONJ
fis-1451	97	54	n	n	ADV
fis-1451	97	55	m	m	VERB
fis-1451	97	56	m	m	VERB
fis-1451	97	57	m	m	VERB
fis-1451	97	58	m	m	VERB
fis-1451	97	59	m	m	ADJ
fis-1451	97	60	n	n	PRON
fis-1451	97	61			NOUN
fis-1451	97	62			PUNCT
fis-1451	97	63			ADJ
fis-1451	97	64			NOUN
fis-1451	97	65			NOUN
fis-1451	97	66			NUM
fis-1451	97	67			NOUN
fis-1451	97	68			NUM
fis-1451	97	69			ADJ
fis-1451	97	70			NOUN
fis-1451	97	71			NOUN
fis-1451	97	72			NUM
fis-1451	97	73			NOUN
fis-1451	97	74			NUM
fis-1451	97	75			ADJ
fis-1451	97	76			NOUN
fis-1451	97	77			ADJ
fis-1451	97	78			PUNCT
fis-1451	97	79			ADJ
fis-1451	97	80			NOUN
fis-1451	97	81			X
fis-1451	97	82			NOUN
fis-1451	97	83			ADP
fis-1451	97	84			VERB
fis-1451	97	85			NUM
fis-1451	97	86			NOUN
fis-1451	97	87			VERB
fis-1451	97	88			PROPN
fis-1451	97	89			NUM
fis-1451	97	90			NUM
fis-1451	97	91			PROPN
fis-1451	97	92			PUNCT
fis-1451	97	93			PROPN
fis-1451	97	94			PROPN
fis-1451	97	95			NOUN
fis-1451	97	96			VERB
fis-1451	97	97			PROPN
fis-1451	97	98			NUM
fis-1451	97	99			NUM
fis-1451	97	100			NUM
fis-1451	97	101			PROPN
fis-1451	97	102			PROPN
fis-1451	97	103			X
fis-1451	97	104			PUNCT
fis-1451	97	105	(	(	PUNCT
fis-1451	97	106	3	3	X
fis-1451	97	107	)	)	PUNCT
fis-1451	97	108	where	where	SCONJ
fis-1451	97	109	m00,	m00,	NOUN
fis-1451	97	110	..	..	PUNCT
fis-1451	97	111	,m02	,m02	PROPN
fis-1451	97	112	,	,	PUNCT
fis-1451	97	113	m10	m10	PROPN
fis-1451	97	114	,	,	PUNCT
fis-1451	97	115	..	..	PUNCT
fis-1451	97	116	,	,	PUNCT
fis-1451	97	117	m12	m12	PROPN
fis-1451	97	118	,	,	PUNCT
fis-1451	97	119	m20,	m20,	PROPN
fis-1451	97	120	..	..	PUNCT
fis-1451	97	121	,m22	,m22	PUNCT
fis-1451	97	122	are	be	AUX
fis-1451	97	123	normalized	normalize	VERB
fis-1451	97	124	kernels	kernel	NOUN
fis-1451	97	125	,	,	PUNCT
fis-1451	97	126	0	0	NOUN
fis-1451	97	127	,	,	PUNCT
fis-1451	97	128	..	..	PUNCT
fis-1451	97	129	,	,	PUNCT
fis-1451	97	130	2	2	NOUN
fis-1451	97	131	are	be	AUX
fis-1451	97	132	normalized	normalize	VERB
fis-1451	97	133	derivatives	derivative	NOUN
fis-1451	97	134	of	of	ADP
fis-1451	97	135	the	the	DET
fis-1451	97	136	displacement	displacement	ADJ
fis-1451	97	137	discontinuity	discontinuity	NOUN
fis-1451	97	138	across	across	ADP
fis-1451	97	139	the	the	DET
fis-1451	97	140	crack	crack	NOUN
fis-1451	97	141	contour	contour	NOUN
fis-1451	97	142	0()=g0’(l0),	0()=g0’(l0),	NOUN
fis-1451	97	143	..	..	PUNCT
fis-1451	97	144	,2()=g2’(l2	,2()=g2’(l2	NUM
fis-1451	97	145	)	)	PUNCT
fis-1451	97	146	,	,	PUNCT
fis-1451	97	147	and	and	CCONJ
fis-1451	97	148	0,	0,	PROPN
fis-1451	97	149	..	..	PUNCT
fis-1451	97	150	,2	,2	PUNCT
fis-1451	97	151	are	be	AUX
fis-1451	97	152	normalized	normalize	VERB
fis-1451	97	153	tractions	traction	NOUN
fis-1451	97	154	0()=p0(l0	0()=p0(l0	NUM
fis-1451	97	155	)	)	PUNCT
fis-1451	97	156	,	,	PUNCT
fis-1451	97	157	..	..	PUNCT
fis-1451	97	158	,	,	PUNCT
fis-1451	97	159	2()=p2(l2	2()=p2(l2	PROPN
fis-1451	97	160	)	)	PUNCT
fis-1451	97	161	.	.	PUNCT
fis-1451	98	1	the	the	DET
fis-1451	98	2	last	last	ADJ
fis-1451	98	3	equation	equation	NOUN
fis-1451	98	4	of	of	ADP
fis-1451	98	5	the	the	DET
fis-1451	98	6	system	system	NOUN
fis-1451	98	7	(	(	PUNCT
fis-1451	98	8	3	3	X
fis-1451	98	9	)	)	PUNCT
fis-1451	98	10	represents	represent	VERB
fis-1451	98	11	the	the	DET
fis-1451	98	12	condition	condition	NOUN
fis-1451	98	13	of	of	ADP
fis-1451	98	14	single	single	ADJ
fis-1451	98	15	-	-	PUNCT
fis-1451	98	16	valuedness	valuedness	NOUN
fis-1451	98	17	of	of	ADP
fis-1451	98	18	displacements	displacement	NOUN
fis-1451	98	19	for	for	ADP
fis-1451	98	20	the	the	DET
fis-1451	98	21	crack	crack	NOUN
fis-1451	98	22	contour	contour	NOUN
fis-1451	98	23	.	.	PUNCT
fis-1451	99	1	also	also	ADV
fis-1451	99	2	,	,	PUNCT
fis-1451	99	3	the	the	DET
fis-1451	99	4	symmetry	symmetry	NOUN
fis-1451	99	5	of	of	ADP
fis-1451	99	6	the	the	DET
fis-1451	99	7	problem	problem	NOUN
fis-1451	99	8	and	and	CCONJ
fis-1451	99	9	link	link	VERB
fis-1451	99	10	angular	angular	ADJ
fis-1451	99	11	positions	position	NOUN
fis-1451	99	12	are	be	AUX
fis-1451	99	13	taken	take	VERB
fis-1451	99	14	into	into	ADP
fis-1451	99	15	account	account	NOUN
fis-1451	99	16	.	.	PUNCT
fis-1451	100	1	module	module	NOUN
fis-1451	100	2	6	6	NUM
fis-1451	100	3	:	:	PUNCT
fis-1451	100	4	the	the	DET
fis-1451	100	5	numerical	numerical	ADJ
fis-1451	100	6	solution	solution	NOUN
fis-1451	100	7	of	of	ADP
fis-1451	100	8	the	the	DET
fis-1451	100	9	system	system	NOUN
fis-1451	100	10	of	of	ADP
fis-1451	100	11	singular	singular	PROPN
fis-1451	100	12	integral	integral	ADJ
fis-1451	100	13	eq	eq	X
fis-1451	100	14	.	.	PUNCT
fis-1451	101	1	(	(	PUNCT
fis-1451	101	2	3	3	X
fis-1451	101	3	)	)	PUNCT
fis-1451	101	4	is	be	AUX
fis-1451	101	5	obtained	obtain	VERB
fis-1451	101	6	by	by	ADP
fis-1451	101	7	the	the	DET
fis-1451	101	8	method	method	NOUN
fis-1451	101	9	of	of	ADP
fis-1451	101	10	mechanical	mechanical	ADJ
fis-1451	101	11	quadratures	quadrature	NOUN
fis-1451	101	12	[	[	X
fis-1451	101	13	7	7	NUM
fis-1451	101	14	]	]	PUNCT
fis-1451	101	15	.	.	PUNCT
fis-1451	102	1	functions	function	NOUN
fis-1451	102	2	0(	0(	ADJ
fis-1451	102	3	)	)	PUNCT
fis-1451	102	4	,	,	PUNCT
fis-1451	102	5	1(	1(	PROPN
fis-1451	102	6	)	)	PUNCT
fis-1451	102	7	,	,	PUNCT
fis-1451	102	8	2(	2(	PROPN
fis-1451	102	9	)	)	PUNCT
fis-1451	102	10	are	be	AUX
fis-1451	102	11	sought	seek	VERB
fis-1451	102	12	in	in	ADP
fis-1451	102	13	the	the	DET
fis-1451	102	14	class	class	NOUN
fis-1451	102	15	of	of	ADP
fis-1451	102	16	functions	function	NOUN
fis-1451	102	17	unbounded	unbounde	VERB
fis-1451	102	18	at	at	ADP
fis-1451	102	19	the	the	DET
fis-1451	102	20	ends	end	NOUN
fis-1451	102	21	of	of	ADP
fis-1451	102	22	intervals	interval	NOUN
fis-1451	102	23	2	2	NUM
fis-1451	102	24	(	(	PUNCT
fis-1451	102	25	)	)	PUNCT
fis-1451	102	26	(	(	PUNCT
fis-1451	102	27	)	)	PUNCT
fis-1451	102	28	/	/	SYM
fis-1451	102	29	1n	1n	NUM
fis-1451	102	30	nu	nu	VERB
fis-1451	102	31			NOUN
fis-1451	102	32			VERB
fis-1451	102	33			PUNCT
fis-1451	102	34			NOUN
fis-1451	102	35	,	,	PUNCT
fis-1451	102	36	(	(	PUNCT
fis-1451	102	37	n=0	n=0	NUM
fis-1451	102	38	,	,	PUNCT
fis-1451	102	39	1	1	NUM
fis-1451	102	40	,	,	PUNCT
fis-1451	102	41	2	2	NUM
fis-1451	102	42	)	)	PUNCT
fis-1451	102	43	expressing	express	VERB
fis-1451	102	44	u0(	u0(	NOUN
fis-1451	102	45	)	)	PUNCT
fis-1451	102	46	,	,	PUNCT
fis-1451	102	47	u1(	u1(	PROPN
fis-1451	102	48	)	)	PUNCT
fis-1451	102	49	,	,	PUNCT
fis-1451	102	50	u2(	u2(	PROPN
fis-1451	102	51	)	)	PUNCT
fis-1451	102	52	in	in	ADP
fis-1451	102	53	terms	term	NOUN
fis-1451	102	54	of	of	ADP
fis-1451	102	55	the	the	DET
fis-1451	102	56	lagrange	lagrange	NOUN
fis-1451	102	57	interpolation	interpolation	NOUN
fis-1451	102	58	polynomials	polynomial	NOUN
fis-1451	102	59	over	over	ADP
fis-1451	102	60	the	the	DET
fis-1451	102	61	chebyshev	chebyshev	NOUN
fis-1451	102	62	nodes	node	NOUN
fis-1451	102	63	:	:	PUNCT
fis-1451	102	64			NOUN
fis-1451	103	1			SYM
fis-1451	103	2			NOUN
fis-1451	103	3			SYM
fis-1451	103	4			NOUN
fis-1451	103	5			PUNCT
fis-1451	103	6			NOUN
fis-1451	103	7			NOUN
fis-1451	103	8	1	1	NUM
fis-1451	103	9	1	1	NUM
fis-1451	103	10	1	1	NUM
fis-1451	103	11	1	1	NUM
fis-1451	103	12	1	1	NUM
fis-1451	103	13	2	2	NUM
fis-1451	103	14	,	,	PUNCT
fis-1451	103	15	  	  	SPACE
fis-1451	103	16	0	0	NUM
fis-1451	103	17	,	,	PUNCT
fis-1451	103	18	 	 	SPACE
fis-1451	103	19	2	2	NUM
fis-1451	103	20	n	n	CCONJ
fis-1451	103	21	n	n	CCONJ
fis-1451	103	22	n	n	CCONJ
fis-1451	103	23	n	n	NOUN
fis-1451	103	24	k	k	NOUN
fis-1451	103	25	r	r	NOUN
fis-1451	103	26	k	k	NOUN
fis-1451	103	27	r	r	NOUN
fis-1451	103	28	k	k	NOUN
fis-1451	103	29	r	r	NOUN
fis-1451	103	30	u	u	NOUN
fis-1451	103	31	u	u	NOUN
fis-1451	103	32	t	t	PROPN
fis-1451	103	33	t	t	PROPN
fis-1451	103	34	n	n	CCONJ
fis-1451	103	35	n	n	PRON
fis-1451	103	36			NOUN
fis-1451	103	37			VERB
fis-1451	103	38			NOUN
fis-1451	103	39			VERB
fis-1451	103	40			VERB
fis-1451	103	41			NOUN
fis-1451	103	42			NOUN
fis-1451	103	43			ADP
fis-1451	103	44			NOUN
fis-1451	103	45			VERB
fis-1451	103	46			PROPN
fis-1451	103	47			PUNCT
fis-1451	103	48			PROPN
fis-1451	103	49			VERB
fis-1451	103	50			NOUN
fis-1451	103	51			VERB
fis-1451	103	52			NOUN
fis-1451	103	53			X
fis-1451	103	54			X
fis-1451	103	55			X
fis-1451	103	56	(	(	PUNCT
fis-1451	103	57	4	4	X
fis-1451	103	58	)	)	PUNCT
fis-1451	103	59	where	where	SCONJ
fis-1451	103	60			NOUN
fis-1451	103	61			PUNCT
fis-1451	104	1	[	[	PUNCT
fis-1451	104	2	  	  	SPACE
fis-1451	104	3	(	(	PUNCT
fis-1451	104	4	)	)	PUNCT
fis-1451	104	5	]	]	X
fis-1451	104	6	rt	rt	PROPN
fis-1451	104	7	cos	cos	ADP
fis-1451	104	8	r	r	PROPN
fis-1451	104	9	arccos	arccos	PROPN
fis-1451	104	10			PUNCT
fis-1451	104	11	is	be	AUX
fis-1451	104	12	a	a	DET
fis-1451	104	13	first	first	ADJ
fis-1451	104	14	kind	kind	NOUN
fis-1451	104	15	chebyshev	chebyshev	NOUN
fis-1451	104	16	polynomial	polynomial	ADJ
fis-1451	104	17	.	.	PUNCT
fis-1451	105	1	boundary	boundary	ADJ
fis-1451	105	2	conditions	condition	NOUN
fis-1451	105	3			NOUN
fis-1451	105	4	1	1	VERB
fis-1451	105	5	1	1	NUM
fis-1451	105	6	0u	0u	ADJ
fis-1451	105	7			ADJ
fis-1451	105	8	and	and	CCONJ
fis-1451	105	9			NOUN
fis-1451	106	1	2	2	ADJ
fis-1451	106	2	1	1	NUM
fis-1451	106	3	0u	0u	ADJ
fis-1451	106	4			NOUN
fis-1451	106	5			NOUN
fis-1451	106	6	are	be	AUX
fis-1451	106	7	applied	apply	VERB
fis-1451	106	8	to	to	PART
fis-1451	106	9	complete	complete	VERB
fis-1451	106	10	the	the	DET
fis-1451	106	11	system	system	NOUN
fis-1451	106	12	of	of	ADP
fis-1451	106	13	eq	eq	PROPN
fis-1451	106	14	.	.	PUNCT
fis-1451	107	1	(	(	PUNCT
fis-1451	107	2	3	3	NUM
fis-1451	107	3	)	)	PUNCT
fis-1451	107	4	.	.	PUNCT
fis-1451	108	1	by	by	ADP
fis-1451	108	2	applying	apply	VERB
fis-1451	108	3	the	the	DET
fis-1451	108	4	gauss	gauss	ADJ
fis-1451	108	5	-	-	PUNCT
fis-1451	108	6	chebyshev	chebyshev	NOUN
fis-1451	108	7	quadrature	quadrature	NOUN
fis-1451	108	8	expressions	expression	NOUN
fis-1451	108	9	the	the	DET
fis-1451	108	10	system	system	NOUN
fis-1451	108	11	of	of	ADP
fis-1451	108	12	singular	singular	ADJ
fis-1451	108	13	integral	integral	ADJ
fis-1451	108	14	equations	equation	NOUN
fis-1451	108	15	is	be	AUX
fis-1451	108	16	transformed	transform	VERB
fis-1451	108	17	to	to	ADP
fis-1451	108	18	the	the	DET
fis-1451	108	19	closed	closed	ADJ
fis-1451	108	20	system	system	NOUN
fis-1451	108	21	of	of	ADP
fis-1451	108	22	linear	linear	PROPN
fis-1451	108	23	algebraic	algebraic	ADJ
fis-1451	108	24	equations	equation	NOUN
fis-1451	108	25	with	with	ADP
fis-1451	108	26	3n	3n	NUM
fis-1451	108	27	unknowns	unknown	NOUN
fis-1451	108	28	where	where	SCONJ
fis-1451	108	29	n	n	PRON
fis-1451	108	30	is	be	AUX
fis-1451	108	31	number	number	NOUN
fis-1451	108	32	of	of	ADP
fis-1451	108	33	the	the	DET
fis-1451	108	34	chebyshev	chebyshev	NOUN
fis-1451	108	35	nodes	node	NOUN
fis-1451	108	36	.	.	PUNCT
fis-1451	109	1	module	module	NOUN
fis-1451	109	2	7	7	NUM
fis-1451	109	3	:	:	PUNCT
fis-1451	109	4	the	the	DET
fis-1451	109	5	solution	solution	NOUN
fis-1451	109	6	of	of	ADP
fis-1451	109	7	closed	closed	ADJ
fis-1451	109	8	normalized	normalize	VERB
fis-1451	109	9	and	and	CCONJ
fis-1451	109	10	linearized	linearized	ADJ
fis-1451	109	11	system	system	NOUN
fis-1451	109	12	of	of	ADP
fis-1451	109	13	equations	equation	NOUN
fis-1451	109	14	is	be	AUX
fis-1451	109	15	obtained	obtain	VERB
fis-1451	109	16	by	by	ADP
fis-1451	109	17	gauss	gauss	ADJ
fis-1451	109	18	elimination	elimination	NOUN
fis-1451	109	19	.	.	PUNCT
fis-1451	110	1	i.	i.	PROPN
fis-1451	110	2	telichev	telichev	PROPN
fis-1451	110	3	,	,	PUNCT
fis-1451	110	4	frattura	frattura	PROPN
fis-1451	110	5	ed	ed	PROPN
fis-1451	110	6	integrità	integrità	PROPN
fis-1451	110	7	strutturale	strutturale	PROPN
fis-1451	110	8	,	,	PUNCT
fis-1451	110	9	32	32	NUM
fis-1451	110	10	(	(	PUNCT
fis-1451	110	11	2015	2015	NUM
fis-1451	110	12	)	)	PUNCT
fis-1451	110	13	24	24	NUM
fis-1451	110	14	-	-	SYM
fis-1451	110	15	34	34	NUM
fis-1451	110	16	;	;	PUNCT
fis-1451	110	17	doi	doi	NOUN
fis-1451	110	18	:	:	PUNCT
fis-1451	110	19	10.3221	10.3221	NUM
fis-1451	110	20	/	/	SYM
fis-1451	110	21	igf	igf	PROPN
fis-1451	110	22	-	-	PUNCT
fis-1451	110	23	esis.32.03	esis.32.03	ADJ
fis-1451	110	24	29	29	NUM
fis-1451	110	25	figure	figure	NOUN
fis-1451	110	26	5	5	NUM
fis-1451	110	27	:	:	PUNCT
fis-1451	110	28	steps	step	NOUN
fis-1451	110	29	of	of	ADP
fis-1451	110	30	the	the	DET
fis-1451	110	31	fracture	fracture	NOUN
fis-1451	110	32	analysis	analysis	NOUN
fis-1451	110	33	.	.	PUNCT
fis-1451	111	1	calculation	calculation	NOUN
fis-1451	111	2	of	of	ADP
fis-1451	111	3	length	length	NOUN
fis-1451	111	4	of	of	ADP
fis-1451	111	5	the	the	DET
fis-1451	111	6	plastic	plastic	ADJ
fis-1451	111	7	zones	zone	NOUN
fis-1451	111	8	modules	module	VERB
fis-1451	111	9	8	8	NUM
fis-1451	111	10	-	-	SYM
fis-1451	111	11	9	9	NUM
fis-1451	111	12	:	:	PUNCT
fis-1451	111	13	once	once	SCONJ
fis-1451	111	14	a	a	DET
fis-1451	111	15	solution	solution	NOUN
fis-1451	111	16	of	of	ADP
fis-1451	111	17	the	the	DET
fis-1451	111	18	linearized	linearize	VERB
fis-1451	111	19	system	system	NOUN
fis-1451	111	20	of	of	ADP
fis-1451	111	21	equations	equation	NOUN
fis-1451	111	22	is	be	AUX
fis-1451	111	23	obtained	obtain	VERB
fis-1451	111	24	,	,	PUNCT
fis-1451	111	25	the	the	DET
fis-1451	111	26	stress	stress	NOUN
fis-1451	111	27	intensity	intensity	NOUN
fis-1451	111	28	factor	factor	NOUN
fis-1451	111	29	(	(	PUNCT
fis-1451	111	30	sif	sif	PROPN
fis-1451	111	31	)	)	PUNCT
fis-1451	111	32	at	at	ADP
fis-1451	111	33	the	the	DET
fis-1451	111	34	end	end	NOUN
fis-1451	111	35	of	of	ADP
fis-1451	111	36	the	the	DET
fis-1451	111	37	plastic	plastic	NOUN
fis-1451	111	38	strip	strip	NOUN
fis-1451	111	39	can	can	AUX
fis-1451	111	40	be	be	AUX
fis-1451	111	41	evaluated	evaluate	VERB
fis-1451	111	42	by	by	ADP
fis-1451	111	43	2	2	NUM
fis-1451	111	44	2	2	NUM
fis-1451	111	45	2	2	NUM
fis-1451	111	46	(	(	PUNCT
fis-1451	111	47	)	)	PUNCT
fis-1451	111	48	(	(	PUNCT
fis-1451	111	49	1)ik	1)ik	NUM
fis-1451	111	50	l	l	X
fis-1451	111	51	l	l	X
fis-1451	111	52	u	u	PROPN
fis-1451	111	53			NOUN
fis-1451	111	54			VERB
fis-1451	111	55	.	.	PUNCT
fis-1451	112	1	modules	module	NOUN
fis-1451	112	2	8	8	NUM
fis-1451	112	3	-	-	SYM
fis-1451	112	4	9	9	NUM
fis-1451	112	5	-	-	SYM
fis-1451	112	6	10	10	NUM
fis-1451	112	7	:	:	PUNCT
fis-1451	112	8	the	the	DET
fis-1451	112	9	stress	stress	NOUN
fis-1451	112	10	at	at	ADP
fis-1451	112	11	the	the	DET
fis-1451	112	12	crack	crack	NOUN
fis-1451	112	13	tips	tip	NOUN
fis-1451	112	14	is	be	AUX
fis-1451	112	15	considered	consider	VERB
fis-1451	112	16	to	to	PART
fis-1451	112	17	be	be	AUX
fis-1451	112	18	finite	finite	VERB
fis-1451	112	19	.	.	PUNCT
fis-1451	113	1	the	the	DET
fis-1451	113	2	unknown	unknown	ADJ
fis-1451	113	3	length	length	NOUN
fis-1451	113	4	of	of	ADP
fis-1451	113	5	the	the	DET
fis-1451	113	6	plastic	plastic	ADJ
fis-1451	113	7	zones	zone	NOUN
fis-1451	113	8	is	be	AUX
fis-1451	113	9	determined	determine	VERB
fis-1451	113	10	from	from	ADP
fis-1451	113	11	the	the	DET
fis-1451	113	12	condition	condition	NOUN
fis-1451	113	13	that	that	SCONJ
fis-1451	113	14	the	the	DET
fis-1451	113	15	stress	stress	NOUN
fis-1451	113	16	intensity	intensity	NOUN
fis-1451	113	17	factor	factor	NOUN
fis-1451	113	18	is	be	AUX
fis-1451	113	19	equal	equal	ADJ
fis-1451	113	20	to	to	ADP
fis-1451	113	21	zero	zero	NUM
fis-1451	113	22	at	at	ADP
fis-1451	113	23	the	the	DET
fis-1451	113	24	end	end	NOUN
fis-1451	113	25	of	of	ADP
fis-1451	113	26	the	the	DET
fis-1451	113	27	plastic	plastic	NOUN
fis-1451	113	28	strip	strip	NOUN
fis-1451	113	29	:	:	PUNCT
fis-1451	113	30			NOUN
fis-1451	113	31	2	2	NOUN
fis-1451	113	32	  	  	SPACE
fis-1451	113	33	0ik	0ik	NOUN
fis-1451	114	1	l	l	NOUN
fis-1451	114	2			NOUN
fis-1451	114	3	.	.	PUNCT
fis-1451	115	1	the	the	DET
fis-1451	115	2	search	search	NOUN
fis-1451	115	3	is	be	AUX
fis-1451	115	4	performed	perform	VERB
fis-1451	115	5	by	by	ADP
fis-1451	115	6	golden	golden	ADJ
fis-1451	115	7	section	section	NOUN
fis-1451	115	8	method	method	NOUN
fis-1451	115	9	.	.	PUNCT
fis-1451	116	1	calculation	calculation	NOUN
fis-1451	116	2	of	of	ADP
fis-1451	116	3	crack	crack	NOUN
fis-1451	116	4	tip	tip	NOUN
fis-1451	116	5	opening	open	VERB
fis-1451	116	6	displacement	displacement	NOUN
fis-1451	116	7	/	/	SYM
fis-1451	116	8	angle	angle	NOUN
fis-1451	116	9	module	module	NOUN
fis-1451	116	10	11	11	NUM
fis-1451	116	11	:	:	PUNCT
fis-1451	116	12	once	once	SCONJ
fis-1451	116	13	a	a	DET
fis-1451	116	14	numerical	numerical	ADJ
fis-1451	116	15	solution	solution	NOUN
fis-1451	116	16	of	of	ADP
fis-1451	116	17	the	the	DET
fis-1451	116	18	singular	singular	ADJ
fis-1451	116	19	integral	integral	ADJ
fis-1451	116	20	equation	equation	NOUN
fis-1451	116	21	is	be	AUX
fis-1451	116	22	obtained	obtain	VERB
fis-1451	116	23	,	,	PUNCT
fis-1451	116	24	the	the	DET
fis-1451	116	25	displacement	displacement	NOUN
fis-1451	116	26	can	can	AUX
fis-1451	116	27	be	be	AUX
fis-1451	116	28	calculated	calculate	VERB
fis-1451	116	29	at	at	ADP
fis-1451	116	30	any	any	DET
fis-1451	116	31	point	point	NOUN
fis-1451	116	32	on	on	ADP
fis-1451	116	33	the	the	DET
fis-1451	116	34	crack	crack	NOUN
fis-1451	116	35	faces	face	NOUN
fis-1451	116	36	.	.	PUNCT
fis-1451	117	1	for	for	ADP
fis-1451	117	2	the	the	DET
fis-1451	117	3	arbitrary	arbitrary	ADJ
fis-1451	117	4	point	point	NOUN
fis-1451	117	5	*	*	NOUN
fis-1451	117	6	2	2	NUM
fis-1451	117	7	2	2	NUM
fis-1451	117	8	2	2	NUM
fis-1451	117	9	/	/	SYM
fis-1451	117	10	x	x	SYM
fis-1451	117	11	x	x	NOUN
fis-1451	117	12	l	l	NOUN
fis-1451	117	13	of	of	ADP
fis-1451	117	14	the	the	DET
fis-1451	117	15	segment	segment	NOUN
fis-1451	117	16	l2	l2	NOUN
fis-1451	117	17	we	we	PRON
fis-1451	117	18	have	have	VERB
fis-1451	117	19	the	the	DET
fis-1451	117	20	following	follow	VERB
fis-1451	117	21	expression	expression	NOUN
fis-1451	117	22	:	:	PUNCT
fis-1451	118	1			NOUN
fis-1451	118	2			SYM
fis-1451	118	3			NOUN
fis-1451	118	4			SYM
fis-1451	118	5			NOUN
fis-1451	118	6			SYM
fis-1451	118	7			NOUN
fis-1451	118	8	2	2	NOUN
fis-1451	118	9	*	*	SYM
fis-1451	118	10	2	2	NUM
fis-1451	118	11	2	2	NUM
fis-1451	118	12	1	1	NUM
fis-1451	118	13	'	'	NUM
fis-1451	118	14	2	2	NUM
fis-1451	118	15	*	*	PUNCT
fis-1451	118	16	*	*	PUNCT
fis-1451	118	17	*	*	PUNCT
fis-1451	118	18	2	2	NUM
fis-1451	118	19	2	2	NUM
fis-1451	118	20	2	2	NUM
fis-1451	118	21	2	2	NUM
fis-1451	118	22	2	2	NUM
fis-1451	118	23	2	2	NUM
fis-1451	118	24	2	2	NUM
fis-1451	118	25	2	2	NUM
fis-1451	118	26	2	2	NUM
fis-1451	118	27	2	2	NUM
fis-1451	118	28	2	2	NUM
fis-1451	118	29	2	2	NUM
fis-1451	118	30	22	22	NUM
fis-1451	118	31	(	(	PUNCT
fis-1451	118	32	)	)	PUNCT
fis-1451	118	33	(	(	PUNCT
fis-1451	118	34	1	1	X
fis-1451	118	35	)	)	PUNCT
fis-1451	118	36	  	  	SPACE
fis-1451	118	37	1	1	NUM
fis-1451	118	38	l	l	NOUN
fis-1451	118	39	x	x	PUNCT
fis-1451	119	1	x	x	PUNCT
fis-1451	119	2	u	u	NOUN
fis-1451	119	3	g	g	NOUN
fis-1451	119	4	x	x	SYM
fis-1451	119	5	g	g	PROPN
fis-1451	119	6	l	l	NOUN
fis-1451	119	7	g	g	NOUN
fis-1451	119	8	t	t	PROPN
fis-1451	119	9	dt	dt	X
fis-1451	119	10	l	l	NOUN
fis-1451	120	1	d	d	X
fis-1451	120	2	l	l	NOUN
fis-1451	120	3	g	g	NOUN
fis-1451	120	4	x	x	X
fis-1451	120	5	l	l	NOUN
fis-1451	120	6	g	g	NOUN
fis-1451	120	7			NOUN
fis-1451	120	8			PUNCT
fis-1451	120	9			VERB
fis-1451	120	10			NOUN
fis-1451	120	11			NUM
fis-1451	120	12			PROPN
fis-1451	120	13			PROPN
fis-1451	120	14			PROPN
fis-1451	120	15			PROPN
fis-1451	120	16			PROPN
fis-1451	120	17			PROPN
fis-1451	120	18			X
fis-1451	120	19			X
fis-1451	120	20	(	(	PUNCT
fis-1451	120	21	5	5	X
fis-1451	120	22	)	)	PUNCT
fis-1451	120	23	building	build	VERB
fis-1451	120	24	the	the	DET
fis-1451	120	25	system	system	NOUN
fis-1451	120	26	of	of	ADP
fis-1451	120	27	singular	singular	ADJ
fis-1451	120	28	integral	integral	ADJ
fis-1451	120	29	equations	equation	NOUN
fis-1451	120	30	chebyshev	chebyshev	PROPN
fis-1451	120	31	’s	’s	PART
fis-1451	120	32	nodes	node	NOUN
fis-1451	120	33	generation	generation	NOUN
fis-1451	120	34	applying	apply	VERB
fis-1451	120	35	the	the	DET
fis-1451	120	36	method	method	NOUN
fis-1451	120	37	of	of	ADP
fis-1451	120	38	mechanical	mechanical	ADJ
fis-1451	120	39	quadratures	quadrature	NOUN
fis-1451	120	40	5	5	NUM
fis-1451	120	41	6	6	NUM
fis-1451	120	42	solution	solution	NOUN
fis-1451	120	43	of	of	ADP
fis-1451	120	44	normalized	normalized	ADJ
fis-1451	120	45	and	and	CCONJ
fis-1451	120	46	linearized	linearized	ADJ
fis-1451	120	47	system	system	NOUN
fis-1451	120	48	of	of	ADP
fis-1451	120	49	equations	equation	NOUN
fis-1451	120	50	initial	initial	ADJ
fis-1451	120	51	data	datum	NOUN
fis-1451	120	52	:	:	PUNCT
fis-1451	120	53			NOUN
fis-1451	120	54	structure	structure	NOUN
fis-1451	120	55			PROPN
fis-1451	120	56	material	material	NOUN
fis-1451	120	57			PROPN
fis-1451	120	58	damage	damage	NOUN
fis-1451	120	59	2	2	NUM
fis-1451	120	60	7	7	NUM
fis-1451	120	61	start	start	NOUN
fis-1451	120	62	of	of	ADP
fis-1451	120	63	analysis	analysis	NOUN
fis-1451	120	64	1	1	NUM
fis-1451	120	65	applying	apply	VERB
fis-1451	120	66	the	the	DET
fis-1451	120	67	boundary	boundary	ADJ
fis-1451	120	68	conditions	condition	NOUN
fis-1451	120	69	4	4	NUM
fis-1451	120	70	3	3	NUM
fis-1451	120	71	a	a	DET
fis-1451	120	72	end	end	NOUN
fis-1451	120	73	of	of	ADP
fis-1451	120	74	analysis	analysis	NOUN
fis-1451	120	75	plastic	plastic	NOUN
fis-1451	120	76	zone	zone	NOUN
fis-1451	120	77	length	length	NOUN
fis-1451	120	78	search	search	NOUN
fis-1451	120	79	calculation	calculation	NOUN
fis-1451	120	80	of	of	ADP
fis-1451	120	81	stress	stress	NOUN
fis-1451	120	82	intensity	intensity	NOUN
fis-1451	120	83	factor	factor	NOUN
fis-1451	120	84	(	(	PUNCT
fis-1451	120	85	sif	sif	PROPN
fis-1451	120	86	)	)	PUNCT
fis-1451	121	1	yes	yes	INTJ
fis-1451	122	1	no	no	INTJ
fis-1451	122	2	sif	sif	NOUN
fis-1451	122	3	=	=	NOUN
fis-1451	122	4	0	0	NUM
fis-1451	122	5	at	at	ADP
fis-1451	122	6	the	the	DET
fis-1451	122	7	end	end	NOUN
fis-1451	122	8	of	of	ADP
fis-1451	122	9	plastic	plastic	NOUN
fis-1451	122	10	zone	zone	NOUN
fis-1451	122	11	calculation	calculation	NOUN
fis-1451	122	12	of	of	ADP
fis-1451	122	13	ctod	ctod	NOUN
fis-1451	122	14	/	/	SYM
fis-1451	122	15	ctoa	ctoa	NOUN
fis-1451	122	16	ctod	ctod	NOUN
fis-1451	122	17	or	or	CCONJ
fis-1451	122	18	ctoa	ctoa	ADJ
fis-1451	122	19	>	>	X
fis-1451	122	20	critical	critical	ADJ
fis-1451	122	21	value	value	NOUN
fis-1451	122	22	no	no	DET
fis-1451	122	23	crack	crack	NOUN
fis-1451	122	24	propagation	propagation	NOUN
fis-1451	122	25	pressure	pressure	NOUN
fis-1451	122	26	wall	wall	NOUN
fis-1451	122	27	rupture	rupture	NOUN
fis-1451	122	28	(	(	PUNCT
fis-1451	122	29	“	"	PUNCT
fis-1451	122	30	unzipping	unzip	VERB
fis-1451	122	31	”	"	PUNCT
fis-1451	122	32	)	)	PUNCT
fis-1451	122	33	8	8	NUM
fis-1451	122	34	9	9	NUM
fis-1451	122	35	10	10	NUM
fis-1451	122	36	11	11	NUM
fis-1451	122	37	12	12	NUM
fis-1451	122	38	13	13	NUM
fis-1451	122	39	14	14	NUM
fis-1451	122	40	15	15	NUM
fis-1451	123	1	no	no	INTJ
fis-1451	123	2	yes	yes	INTJ
fis-1451	123	3	a	a	DET
fis-1451	123	4	i.	i.	NOUN
fis-1451	123	5	telichev	telichev	NOUN
fis-1451	123	6	,	,	PUNCT
fis-1451	123	7	frattura	frattura	PROPN
fis-1451	123	8	ed	ed	PROPN
fis-1451	123	9	integrità	integrità	PROPN
fis-1451	123	10	strutturale	strutturale	PROPN
fis-1451	123	11	,	,	PUNCT
fis-1451	123	12	32	32	NUM
fis-1451	123	13	(	(	PUNCT
fis-1451	123	14	2015	2015	NUM
fis-1451	123	15	)	)	PUNCT
fis-1451	123	16	24	24	NUM
fis-1451	123	17	-	-	SYM
fis-1451	123	18	34	34	NUM
fis-1451	123	19	;	;	PUNCT
fis-1451	123	20	doi	doi	NOUN
fis-1451	123	21	:	:	PUNCT
fis-1451	123	22	10.3221	10.3221	NUM
fis-1451	123	23	/	/	SYM
fis-1451	123	24	igf	igf	PROPN
fis-1451	123	25	-	-	PUNCT
fis-1451	123	26	esis.32.03	esis.32.03	ADJ
fis-1451	123	27	30	30	NUM
fis-1451	123	28	using	use	VERB
fis-1451	123	29	the	the	DET
fis-1451	123	30	expansion	expansion	NOUN
fis-1451	123	31	of	of	ADP
fis-1451	123	32	the	the	DET
fis-1451	123	33	function	function	NOUN
fis-1451	123	34	u2(ξ	u2(ξ	NOUN
fis-1451	123	35	)	)	PUNCT
fis-1451	123	36	in	in	ADP
fis-1451	123	37	terms	term	NOUN
fis-1451	123	38	of	of	ADP
fis-1451	123	39	lagrange	lagrange	NOUN
fis-1451	123	40	interpolation	interpolation	NOUN
fis-1451	123	41	polynomials	polynomial	NOUN
fis-1451	123	42	over	over	ADP
fis-1451	123	43	the	the	DET
fis-1451	123	44	chebyshev	chebyshev	NOUN
fis-1451	123	45	’s	’s	PART
fis-1451	123	46	nodes	node	NOUN
fis-1451	123	47	we	we	PRON
fis-1451	123	48	obtain	obtain	VERB
fis-1451	123	49	the	the	DET
fis-1451	123	50	expression	expression	NOUN
fis-1451	123	51	for	for	ADP
fis-1451	123	52	the	the	DET
fis-1451	123	53	function	function	NOUN
fis-1451	123	54	*	*	PUNCT
fis-1451	124	1	*	*	PUNCT
fis-1451	124	2	2	2	NUM
fis-1451	124	3	2	2	NUM
fis-1451	124	4	(	(	PUNCT
fis-1451	124	5	)	)	PUNCT
fis-1451	124	6	g	g	NOUN
fis-1451	124	7	x	x	X
fis-1451	124	8	:	:	PUNCT
fis-1451	124	9			NOUN
fis-1451	124	10			SYM
fis-1451	124	11			NOUN
fis-1451	124	12			SYM
fis-1451	124	13			NOUN
fis-1451	124	14			NOUN
fis-1451	124	15			PROPN
fis-1451	124	16	*	*	PUNCT
fis-1451	124	17	2	2	NUM
fis-1451	124	18	1	1	NUM
fis-1451	124	19	1	1	NUM
fis-1451	124	20	*	*	PUNCT
fis-1451	124	21	*	*	PUNCT
fis-1451	124	22	*	*	PUNCT
fis-1451	124	23	2	2	NUM
fis-1451	124	24	2	2	NUM
fis-1451	124	25	2	2	NUM
fis-1451	124	26	22	22	NUM
fis-1451	124	27	1	1	NUM
fis-1451	124	28	1	1	NUM
fis-1451	124	29	1	1	NUM
fis-1451	124	30	1	1	NUM
fis-1451	124	31	(	(	PUNCT
fis-1451	124	32	)	)	PUNCT
fis-1451	124	33	(	(	PUNCT
fis-1451	124	34	1	1	X
fis-1451	124	35	)	)	SYM
fis-1451	124	36	1	1	NUM
fis-1451	124	37	2	2	NUM
fis-1451	124	38	1	1	NUM
fis-1451	124	39	n	n	NUM
fis-1451	124	40	n	n	NOUN
fis-1451	124	41	k	k	NOUN
fis-1451	124	42	r	r	NOUN
fis-1451	124	43	k	k	NOUN
fis-1451	124	44	r	r	NOUN
fis-1451	124	45	k	k	NOUN
fis-1451	124	46	rx	rx	VERB
fis-1451	124	47	g	g	NOUN
fis-1451	124	48	x	x	SYM
fis-1451	124	49	g	g	NOUN
fis-1451	124	50	u	u	NOUN
fis-1451	124	51	t	t	PROPN
fis-1451	124	52	t	t	PROPN
fis-1451	124	53	d	d	NOUN
fis-1451	124	54	n	n	PRON
fis-1451	124	55			NOUN
fis-1451	124	56			VERB
fis-1451	124	57			NOUN
fis-1451	124	58			NOUN
fis-1451	124	59			VERB
fis-1451	124	60			VERB
fis-1451	124	61			NOUN
fis-1451	124	62			NOUN
fis-1451	124	63			ADP
fis-1451	124	64			NOUN
fis-1451	124	65			VERB
fis-1451	124	66			PROPN
fis-1451	124	67			PRON
fis-1451	124	68			PROPN
fis-1451	124	69			NOUN
fis-1451	124	70			VERB
fis-1451	124	71			NOUN
fis-1451	124	72			VERB
fis-1451	124	73			NOUN
fis-1451	124	74			PROPN
fis-1451	124	75			PROPN
fis-1451	124	76			X
fis-1451	124	77			NUM
fis-1451	124	78	(	(	PUNCT
fis-1451	124	79	6	6	NUM
fis-1451	124	80	)	)	PUNCT
fis-1451	124	81	after	after	ADP
fis-1451	124	82	integration	integration	NOUN
fis-1451	124	83			NOUN
fis-1451	124	84			PUNCT
fis-1451	124	85	*	*	PUNCT
fis-1451	124	86	2	2	NUM
fis-1451	124	87	1	1	NUM
fis-1451	124	88	*	*	SYM
fis-1451	124	89	221x	221x	NOUN
fis-1451	124	90	d	d	NOUN
fis-1451	124	91	arccos	arccos	X
fis-1451	124	92	x	x	SYM
fis-1451	124	93			NOUN
fis-1451	124	94			X
fis-1451	124	95			NUM
fis-1451	124	96			NOUN
fis-1451	124	97			PUNCT
fis-1451	124	98	and	and	CCONJ
fis-1451	124	99			NOUN
fis-1451	124	100			SYM
fis-1451	124	101			NOUN
fis-1451	124	102			PUNCT
fis-1451	124	103	*	*	PUNCT
fis-1451	124	104	2	2	NUM
fis-1451	124	105	1	1	NUM
fis-1451	124	106	*	*	SYM
fis-1451	124	107	22	22	NUM
fis-1451	124	108	1	1	NUM
fis-1451	124	109	  	  	SPACE
fis-1451	124	110	1	1	NUM
fis-1451	124	111	r	r	NOUN
fis-1451	124	112	x	x	SYM
fis-1451	124	113	t	t	NOUN
fis-1451	124	114	d	d	NOUN
fis-1451	124	115	sin	sin	NOUN
fis-1451	124	116	r	r	NOUN
fis-1451	124	117	arccos	arcco	NOUN
fis-1451	124	118	x	x	SYM
fis-1451	124	119	r	r	NOUN
fis-1451	124	120			NOUN
fis-1451	124	121			NOUN
fis-1451	124	122			X
fis-1451	124	123			PROPN
fis-1451	124	124			NOUN
fis-1451	124	125			NOUN
fis-1451	124	126			VERB
fis-1451	124	127	we	we	PRON
fis-1451	124	128	get	get	VERB
fis-1451	124	129			NOUN
fis-1451	125	1			PUNCT
fis-1451	125	2			NOUN
fis-1451	125	3			SYM
fis-1451	125	4			NOUN
fis-1451	125	5			SYM
fis-1451	125	6			NOUN
fis-1451	125	7			NOUN
fis-1451	125	8	1	1	INTJ
fis-1451	125	9	*	*	PUNCT
fis-1451	126	1	*	*	PUNCT
fis-1451	127	1	*	*	PUNCT
fis-1451	127	2	*	*	PUNCT
fis-1451	127	3	*	*	PUNCT
fis-1451	127	4	2	2	NUM
fis-1451	127	5	2	2	NUM
fis-1451	127	6	2	2	NUM
fis-1451	127	7	2	2	NUM
fis-1451	127	8	2	2	NUM
fis-1451	127	9	2	2	NUM
fis-1451	127	10	1	1	NUM
fis-1451	127	11	1	1	NUM
fis-1451	127	12	1	1	NUM
fis-1451	127	13	1	1	NUM
fis-1451	127	14	(	(	PUNCT
fis-1451	127	15	)	)	PUNCT
fis-1451	127	16	(	(	PUNCT
fis-1451	127	17	1	1	X
fis-1451	127	18	)	)	PUNCT
fis-1451	127	19	    	    	SPACE
fis-1451	127	20	2	2	NUM
fis-1451	127	21	  	  	SPACE
fis-1451	127	22	n	n	CCONJ
fis-1451	127	23	n	n	NOUN
fis-1451	128	1	k	k	NOUN
fis-1451	128	2	r	r	NOUN
fis-1451	129	1	k	k	PROPN
fis-1451	129	2	k	k	NOUN
fis-1451	129	3	r	r	NOUN
fis-1451	129	4	g	g	NOUN
fis-1451	129	5	x	x	SYM
fis-1451	129	6	g	g	NOUN
fis-1451	129	7	u	u	NOUN
fis-1451	129	8	arccos	arcco	NOUN
fis-1451	129	9	x	x	VERB
fis-1451	129	10	t	t	PROPN
fis-1451	129	11	sin	sin	NOUN
fis-1451	129	12	r	r	NOUN
fis-1451	129	13	arccos	arccos	NOUN
fis-1451	129	14	x	x	PUNCT
fis-1451	129	15	n	n	CCONJ
fis-1451	129	16	r	r	NOUN
fis-1451	129	17			NOUN
fis-1451	129	18			VERB
fis-1451	129	19			VERB
fis-1451	129	20			NOUN
fis-1451	129	21			NOUN
fis-1451	129	22			ADP
fis-1451	129	23			VERB
fis-1451	129	24			PROPN
fis-1451	129	25			PROPN
fis-1451	129	26			NUM
fis-1451	129	27			PROPN
fis-1451	129	28			NOUN
fis-1451	129	29			VERB
fis-1451	129	30			ADJ
fis-1451	129	31			PUNCT
fis-1451	130	1			X
fis-1451	130	2			X
fis-1451	130	3			X
fis-1451	130	4			X
fis-1451	130	5	(	(	PUNCT
fis-1451	130	6	7	7	X
fis-1451	130	7	)	)	PUNCT
fis-1451	130	8	analogously	analogously	ADV
fis-1451	130	9	we	we	PRON
fis-1451	130	10	obtain	obtain	VERB
fis-1451	130	11	the	the	DET
fis-1451	130	12	expressions	expression	NOUN
fis-1451	130	13	for	for	ADP
fis-1451	130	14	*	*	PROPN
fis-1451	130	15	*	*	PUNCT
fis-1451	130	16	0	0	NUM
fis-1451	130	17	0	0	NUM
fis-1451	130	18	(	(	PUNCT
fis-1451	130	19	)	)	PUNCT
fis-1451	130	20	g	g	NOUN
fis-1451	130	21	x	x	X
fis-1451	130	22	and	and	CCONJ
fis-1451	130	23	*	*	PUNCT
fis-1451	130	24	*	*	PUNCT
fis-1451	130	25	1	1	NUM
fis-1451	130	26	1	1	NUM
fis-1451	130	27	(	(	PUNCT
fis-1451	130	28	)	)	PUNCT
fis-1451	130	29	g	g	NOUN
fis-1451	130	30	x	x	X
fis-1451	130	31	at	at	ADP
fis-1451	130	32	*	*	PROPN
fis-1451	130	33	0	0	NUM
fis-1451	130	34	0	0	NUM
fis-1451	130	35	0	0	NUM
fis-1451	130	36	0	0	NUM
fis-1451	130	37	0/	0/	NUM
fis-1451	130	38	,	,	PUNCT
fis-1451	130	39	  	  	SPACE
fis-1451	130	40	x	x	PUNCT
fis-1451	130	41	x	x	PUNCT
fis-1451	130	42	l	l	NOUN
fis-1451	130	43	x	x	X
fis-1451	130	44	l	l	NOUN
fis-1451	130	45			NOUN
fis-1451	130	46	and	and	CCONJ
fis-1451	130	47	*	*	PUNCT
fis-1451	130	48	1	1	NUM
fis-1451	130	49	1	1	NUM
fis-1451	130	50	1	1	NUM
fis-1451	130	51	1	1	NUM
fis-1451	130	52	1/	1/	NUM
fis-1451	130	53	,	,	PUNCT
fis-1451	130	54	    	    	SPACE
fis-1451	130	55	x	x	PUNCT
fis-1451	130	56	x	x	PUNCT
fis-1451	130	57	l	l	NOUN
fis-1451	130	58	x	x	X
fis-1451	130	59	l	l	NOUN
fis-1451	130	60			NOUN
fis-1451	130	61	:	:	PUNCT
fis-1451	130	62			NOUN
fis-1451	131	1			SYM
fis-1451	131	2			NOUN
fis-1451	131	3			SYM
fis-1451	131	4			NOUN
fis-1451	131	5			SYM
fis-1451	131	6			NOUN
fis-1451	131	7			SYM
fis-1451	131	8			NOUN
fis-1451	131	9			SYM
fis-1451	131	10			NOUN
fis-1451	131	11			NOUN
fis-1451	131	12	1	1	INTJ
fis-1451	131	13	*	*	PUNCT
fis-1451	132	1	*	*	PUNCT
fis-1451	133	1	*	*	PUNCT
fis-1451	134	1	*	*	PUNCT
fis-1451	135	1	*	*	PUNCT
fis-1451	135	2	0	0	NUM
fis-1451	135	3	0	0	NUM
fis-1451	135	4	0	0	NUM
fis-1451	135	5	0	0	NUM
fis-1451	135	6	0	0	NUM
fis-1451	135	7	0	0	NUM
fis-1451	135	8	0	0	NUM
fis-1451	135	9	0	0	NUM
fis-1451	135	10	0	0	NUM
fis-1451	135	11	0	0	NUM
fis-1451	135	12	0	0	NUM
fis-1451	135	13	1	1	NUM
fis-1451	135	14	1	1	NUM
fis-1451	135	15	1	1	NUM
fis-1451	135	16	1	1	NUM
fis-1451	135	17	(	(	PUNCT
fis-1451	135	18	)	)	PUNCT
fis-1451	135	19	(	(	PUNCT
fis-1451	135	20	1	1	X
fis-1451	135	21	)	)	PUNCT
fis-1451	135	22	/	/	SYM
fis-1451	135	23	2	2	NUM
fis-1451	135	24	  	  	SPACE
fis-1451	135	25	n	n	CCONJ
fis-1451	135	26	n	n	NOUN
fis-1451	136	1	k	k	NOUN
fis-1451	136	2	r	r	NOUN
fis-1451	137	1	k	k	PROPN
fis-1451	137	2	k	k	NOUN
fis-1451	137	3	r	r	NOUN
fis-1451	137	4	g	g	NOUN
fis-1451	137	5	x	x	SYM
fis-1451	137	6	g	g	NOUN
fis-1451	137	7	g	g	PROPN
fis-1451	137	8	x	x	SYM
fis-1451	137	9	g	g	PROPN
fis-1451	137	10	l	l	NOUN
fis-1451	137	11	l	l	NOUN
fis-1451	137	12	u	u	NOUN
fis-1451	137	13	arccos	arccos	VERB
fis-1451	137	14	x	x	PUNCT
fis-1451	137	15	t	t	PROPN
fis-1451	137	16	sin	sin	NOUN
fis-1451	137	17	r	r	NOUN
fis-1451	137	18	arccos	arccos	NOUN
fis-1451	137	19	x	x	PUNCT
fis-1451	137	20	n	n	CCONJ
fis-1451	137	21	r	r	NOUN
fis-1451	137	22			NOUN
fis-1451	137	23			VERB
fis-1451	137	24			VERB
fis-1451	137	25			NOUN
fis-1451	137	26			NOUN
fis-1451	137	27			ADP
fis-1451	137	28			VERB
fis-1451	137	29			PROPN
fis-1451	137	30			PROPN
fis-1451	138	1			PROPN
fis-1451	138	2			PROPN
fis-1451	138	3			PROPN
fis-1451	138	4			NOUN
fis-1451	138	5			PRON
fis-1451	138	6			NOUN
fis-1451	138	7			PROPN
fis-1451	138	8			NOUN
fis-1451	138	9			PROPN
fis-1451	138	10			NOUN
fis-1451	138	11			NUM
fis-1451	138	12			NOUN
fis-1451	138	13			NOUN
fis-1451	138	14			X
fis-1451	138	15			X
fis-1451	138	16			X
fis-1451	138	17	(	(	PUNCT
fis-1451	138	18	8)	8)	NUM
fis-1451	138	19			NOUN
fis-1451	138	20			SYM
fis-1451	138	21			NOUN
fis-1451	139	1			PUNCT
fis-1451	139	2	*	*	PUNCT
fis-1451	139	3	*	*	PUNCT
fis-1451	139	4	*	*	PUNCT
fis-1451	139	5	1	1	NUM
fis-1451	139	6	1	1	NUM
fis-1451	139	7	1	1	NUM
fis-1451	139	8	1	1	NUM
fis-1451	139	9	1	1	NUM
fis-1451	139	10	1	1	NUM
fis-1451	139	11	1	1	NUM
fis-1451	139	12	1	1	NUM
fis-1451	139	13	(	(	PUNCT
fis-1451	139	14	)	)	PUNCT
fis-1451	139	15	(	(	PUNCT
fis-1451	139	16	1	1	X
fis-1451	139	17	)	)	PUNCT
fis-1451	139	18	/g	/g	PUNCT
fis-1451	140	1	x	x	X
fis-1451	140	2	g	g	NOUN
fis-1451	140	3	g	g	NOUN
fis-1451	140	4	x	x	SYM
fis-1451	140	5	g	g	PROPN
fis-1451	140	6	l	l	PROPN
fis-1451	140	7	l	l	ADJ
fis-1451	140	8			ADJ
fis-1451	140	9			PROPN
fis-1451	140	10			PROPN
fis-1451	140	11			PROPN
fis-1451	140	12			PROPN
fis-1451	140	13			PROPN
fis-1451	141	1			SYM
fis-1451	141	2			NOUN
fis-1451	141	3			SYM
fis-1451	141	4			NOUN
fis-1451	141	5			SYM
fis-1451	141	6			NOUN
fis-1451	141	7			NOUN
fis-1451	141	8	1	1	INTJ
fis-1451	141	9	*	*	PUNCT
fis-1451	142	1	*	*	PUNCT
fis-1451	142	2	1	1	NUM
fis-1451	142	3	1	1	NUM
fis-1451	142	4	1	1	NUM
fis-1451	142	5	1	1	NUM
fis-1451	142	6	1	1	NUM
fis-1451	142	7	1	1	NUM
fis-1451	142	8	1	1	NUM
fis-1451	142	9	2	2	NUM
fis-1451	142	10	  	  	SPACE
fis-1451	142	11	n	n	CCONJ
fis-1451	142	12	n	n	NOUN
fis-1451	143	1	k	k	NOUN
fis-1451	143	2	r	r	NOUN
fis-1451	144	1	k	k	PROPN
fis-1451	144	2	k	k	NOUN
fis-1451	144	3	r	r	NOUN
fis-1451	144	4	u	u	NOUN
fis-1451	144	5	arccos	arccos	VERB
fis-1451	144	6	x	x	PUNCT
fis-1451	144	7	t	t	PROPN
fis-1451	144	8	sin	sin	NOUN
fis-1451	144	9	r	r	NOUN
fis-1451	144	10	arccos	arccos	NOUN
fis-1451	144	11	x	x	PUNCT
fis-1451	144	12	n	n	CCONJ
fis-1451	144	13	r	r	NOUN
fis-1451	144	14			NOUN
fis-1451	144	15			VERB
fis-1451	144	16			VERB
fis-1451	144	17			NOUN
fis-1451	144	18			NOUN
fis-1451	144	19			ADP
fis-1451	144	20			VERB
fis-1451	144	21			PROPN
fis-1451	144	22			PROPN
fis-1451	144	23			NOUN
fis-1451	144	24			VERB
fis-1451	144	25			ADJ
fis-1451	144	26			PUNCT
fis-1451	145	1			X
fis-1451	145	2			X
fis-1451	145	3			X
fis-1451	145	4			X
fis-1451	145	5	(	(	PUNCT
fis-1451	145	6	9	9	NUM
fis-1451	145	7	)	)	PUNCT
fis-1451	145	8	from	from	ADP
fis-1451	145	9	eq	eq	ADP
fis-1451	145	10	.	.	PUNCT
fis-1451	146	1	(	(	PUNCT
fis-1451	146	2	2	2	NUM
fis-1451	146	3	)	)	PUNCT
fis-1451	146	4	in	in	ADP
fis-1451	146	5	the	the	DET
fis-1451	146	6	symmetric	symmetric	ADJ
fis-1451	146	7	case	case	NOUN
fis-1451	146	8	we	we	PRON
fis-1451	146	9	have	have	VERB
fis-1451	146	10			NOUN
fis-1451	147	1			PUNCT
fis-1451	147	2			NOUN
fis-1451	147	3			SYM
fis-1451	147	4			NOUN
fis-1451	147	5			SYM
fis-1451	147	6			NOUN
fis-1451	147	7			PUNCT
fis-1451	147	8			NOUN
fis-1451	147	9			VERB
fis-1451	147	10	'	'	PUNCT
fis-1451	147	11	'	'	PUNCT
fis-1451	147	12	'	'	PUNCT
fis-1451	147	13	'	'	PUNCT
fis-1451	147	14	1	1	NUM
fis-1451	147	15	æ	æ	SYM
fis-1451	147	16	v	v	ADP
fis-1451	147	17	v	v	NUM
fis-1451	147	18	v	v	ADP
fis-1451	147	19	4	4	NUM
fis-1451	147	20	g	g	NOUN
fis-1451	147	21	x	x	NOUN
fis-1451	147	22	x	x	PUNCT
fis-1451	147	23	x	x	PUNCT
fis-1451	147	24	x	x	X
fis-1451	147	25	g	g	PROPN
fis-1451	147	26			ADJ
fis-1451	147	27			PROPN
fis-1451	147	28			PROPN
fis-1451	147	29			PROPN
fis-1451	147	30			ADJ
fis-1451	147	31			PROPN
fis-1451	147	32			PROPN
fis-1451	147	33			NUM
fis-1451	147	34			PROPN
fis-1451	147	35			PROPN
fis-1451	147	36			PROPN
fis-1451	147	37			VERB
fis-1451	147	38			PROPN
fis-1451	147	39	(	(	PUNCT
fis-1451	147	40	10	10	NUM
fis-1451	147	41	)	)	PUNCT
fis-1451	147	42	integrating	integrate	VERB
fis-1451	147	43	we	we	PRON
fis-1451	147	44	obtain	obtain	VERB
fis-1451	147	45	the	the	DET
fis-1451	147	46	relation	relation	NOUN
fis-1451	147	47	:	:	PUNCT
fis-1451	147	48	(	(	PUNCT
fis-1451	147	49	1	1	X
fis-1451	147	50	)	)	PUNCT
fis-1451	147	51	(	(	PUNCT
fis-1451	147	52	)	)	PUNCT
fis-1451	147	53	v	v	NOUN
fis-1451	147	54	v	v	NUM
fis-1451	147	55	v	v	NOUN
fis-1451	147	56	(	(	PUNCT
fis-1451	147	57	)	)	PUNCT
fis-1451	147	58	2	2	NUM
fis-1451	147	59	4	4	NUM
fis-1451	147	60	n	n	NOUN
fis-1451	147	61	n	n	NOUN
fis-1451	147	62	æ	æ	X
fis-1451	147	63	g	g	NOUN
fis-1451	147	64	x	x	X
fis-1451	147	65	x	x	SYM
fis-1451	147	66	c	c	PROPN
fis-1451	147	67	g	g	PROPN
fis-1451	147	68			VERB
fis-1451	147	69			PROPN
fis-1451	147	70			PROPN
fis-1451	147	71			PROPN
fis-1451	147	72			PROPN
fis-1451	147	73			PUNCT
fis-1451	147	74	,	,	PUNCT
fis-1451	147	75	where	where	SCONJ
fis-1451	147	76	n	n	PRON
fis-1451	147	77	is	be	AUX
fis-1451	147	78	a	a	DET
fis-1451	147	79	segment	segment	NOUN
fis-1451	147	80	number	number	NOUN
fis-1451	147	81	.	.	PUNCT
fis-1451	148	1	the	the	DET
fis-1451	148	2	constants	constant	NOUN
fis-1451	148	3	of	of	ADP
fis-1451	148	4	integration	integration	NOUN
fis-1451	148	5	cn	cn	PROPN
fis-1451	148	6	are	be	AUX
fis-1451	148	7	determined	determine	VERB
fis-1451	148	8	by	by	ADP
fis-1451	148	9	displacement	displacement	NOUN
fis-1451	148	10	at	at	ADP
fis-1451	148	11	the	the	DET
fis-1451	148	12	end	end	NOUN
fis-1451	148	13	of	of	ADP
fis-1451	148	14	the	the	DET
fis-1451	148	15	segment	segment	NOUN
fis-1451	148	16	:	:	PUNCT
fis-1451	148	17	2	2	NUM
fis-1451	148	18	0c	0c	NOUN
fis-1451	148	19			PROPN
fis-1451	148	20			NOUN
fis-1451	148	21	2	2	ADJ
fis-1451	148	22	2	2	NUM
fis-1451	148	23	1	1	NUM
fis-1451	148	24	(	(	PUNCT
fis-1451	148	25	1	1	NUM
fis-1451	148	26	)	)	PUNCT
fis-1451	148	27	4	4	NUM
fis-1451	148	28	æ	æ	NOUN
fis-1451	148	29	g	g	NOUN
fis-1451	148	30	l	l	NOUN
fis-1451	148	31	c	c	NOUN
fis-1451	148	32	g	g	PROPN
fis-1451	148	33			VERB
fis-1451	148	34			PROPN
fis-1451	148	35			PROPN
fis-1451	148	36			NOUN
fis-1451	149	1			SYM
fis-1451	149	2			NOUN
fis-1451	149	3			SYM
fis-1451	149	4			NOUN
fis-1451	149	5	1	1	VERB
fis-1451	149	6	1	1	NUM
fis-1451	149	7	0	0	NUM
fis-1451	149	8	1	1	NUM
fis-1451	149	9	1	1	NUM
fis-1451	149	10	1	1	NUM
fis-1451	149	11	2	2	NUM
fis-1451	149	12	2	2	NUM
fis-1451	149	13	(	(	PUNCT
fis-1451	149	14	1	1	NUM
fis-1451	149	15	)	)	PUNCT
fis-1451	149	16	(	(	PUNCT
fis-1451	149	17	1	1	X
fis-1451	149	18	)	)	PUNCT
fis-1451	149	19	4	4	NUM
fis-1451	149	20	4	4	NUM
fis-1451	149	21	æ	æ	NOUN
fis-1451	149	22	g	g	NOUN
fis-1451	149	23	l	l	NOUN
fis-1451	149	24	æ	æ	X
fis-1451	150	1	c	c	NOUN
fis-1451	150	2	c	c	NOUN
fis-1451	150	3	g	g	PROPN
fis-1451	150	4	l	l	NOUN
fis-1451	150	5	g	g	PROPN
fis-1451	150	6	l	l	NOUN
fis-1451	150	7	g	g	NOUN
fis-1451	150	8	g	g	PROPN
fis-1451	150	9			ADV
fis-1451	150	10			PROPN
fis-1451	150	11			VERB
fis-1451	150	12			NUM
fis-1451	150	13			ADJ
fis-1451	150	14			NUM
fis-1451	150	15			PROPN
fis-1451	150	16			VERB
fis-1451	150	17			PROPN
fis-1451	150	18			PROPN
fis-1451	150	19			PROPN
fis-1451	150	20	thus	thus	ADV
fis-1451	150	21	the	the	DET
fis-1451	150	22	crack	crack	NOUN
fis-1451	150	23	opening	open	VERB
fis-1451	150	24	displacement	displacement	NOUN
fis-1451	150	25	(	(	PUNCT
fis-1451	150	26	cod	cod	NOUN
fis-1451	150	27	)	)	PUNCT
fis-1451	150	28	for	for	SCONJ
fis-1451	150	29	the	the	DET
fis-1451	150	30	segment	segment	NOUN
fis-1451	150	31	ln	ln	NOUN
fis-1451	150	32	is	be	AUX
fis-1451	150	33	defined	define	VERB
fis-1451	150	34	as	as	ADP
fis-1451	150	35	following	follow	VERB
fis-1451	150	36	*	*	PUNCT
fis-1451	151	1	*	*	PUNCT
fis-1451	151	2	*	*	PUNCT
fis-1451	151	3	*	*	PUNCT
fis-1451	151	4	(	(	PUNCT
fis-1451	151	5	1	1	NUM
fis-1451	151	6	)	)	PUNCT
fis-1451	151	7	(	(	PUNCT
fis-1451	151	8	)	)	PUNCT
fis-1451	151	9	(	(	PUNCT
fis-1451	151	10	)	)	PUNCT
fis-1451	151	11	2v	2v	PROPN
fis-1451	151	12	(	(	PUNCT
fis-1451	151	13	)	)	PUNCT
fis-1451	151	14	2	2	NUM
fis-1451	151	15	2	2	NUM
fis-1451	151	16	n	n	CCONJ
fis-1451	151	17	n	n	CCONJ
fis-1451	151	18	n	n	CCONJ
fis-1451	151	19	n	n	CCONJ
fis-1451	151	20	n	n	CCONJ
fis-1451	151	21	n	n	NOUN
fis-1451	151	22	æ	æ	NOUN
fis-1451	151	23	l	l	NOUN
fis-1451	151	24	g	g	NOUN
fis-1451	151	25	x	x	PUNCT
fis-1451	151	26	cod	cod	NOUN
fis-1451	151	27	x	x	X
fis-1451	151	28	x	x	SYM
fis-1451	151	29	c	c	X
fis-1451	151	30	g	g	PROPN
fis-1451	151	31			PROPN
fis-1451	151	32			PROPN
fis-1451	151	33			PROPN
fis-1451	151	34			PUNCT
fis-1451	151	35	(	(	PUNCT
fis-1451	151	36	11	11	NUM
fis-1451	151	37	)	)	PUNCT
fis-1451	151	38	since	since	SCONJ
fis-1451	151	39	for	for	ADP
fis-1451	151	40	the	the	DET
fis-1451	151	41	plane	plane	NOUN
fis-1451	151	42	stress	stress	NOUN
fis-1451	151	43	(	(	PUNCT
fis-1451	151	44	1	1	NUM
fis-1451	151	45	)	)	PUNCT
fis-1451	151	46	2	2	NUM
fis-1451	151	47	4	4	NUM
fis-1451	151	48	æ	æ	NOUN
fis-1451	151	49	g	g	PROPN
fis-1451	151	50	e	e	PROPN
fis-1451	151	51			PROPN
fis-1451	151	52			NUM
fis-1451	151	53	,	,	PUNCT
fis-1451	151	54	the	the	DET
fis-1451	151	55	expression	expression	NOUN
fis-1451	151	56	for	for	ADP
fis-1451	151	57	*	*	PUNCT
fis-1451	151	58	(	(	PUNCT
fis-1451	151	59	)	)	PUNCT
fis-1451	151	60	ncod	ncod	NOUN
fis-1451	151	61	x	x	PUNCT
fis-1451	151	62	takes	take	VERB
fis-1451	151	63	the	the	DET
fis-1451	151	64	form	form	NOUN
fis-1451	151	65			NOUN
fis-1451	151	66			SYM
fis-1451	151	67			NOUN
fis-1451	151	68			SYM
fis-1451	151	69			NOUN
fis-1451	151	70			SYM
fis-1451	151	71			NOUN
fis-1451	151	72			NOUN
fis-1451	151	73			PRON
fis-1451	151	74			VERB
fis-1451	151	75			X
fis-1451	151	76			NOUN
fis-1451	151	77			NOUN
fis-1451	151	78			NOUN
fis-1451	151	79			NOUN
fis-1451	151	80			VERB
fis-1451	152	1			PROPN
fis-1451	152	2			PROPN
fis-1451	152	3			PART
fis-1451	152	4			PROPN
fis-1451	152	5			NOUN
fis-1451	152	6			PROPN
fis-1451	152	7			NOUN
fis-1451	152	8			X
fis-1451	152	9			X
fis-1451	152	10	1	1	NUM
fis-1451	153	1	*	*	PUNCT
fis-1451	154	1	*	*	PUNCT
fis-1451	155	1	*	*	PUNCT
fis-1451	155	2	1	1	NUM
fis-1451	155	3	1	1	NUM
fis-1451	155	4	4	4	NUM
fis-1451	155	5	1	1	NUM
fis-1451	155	6	(	(	PUNCT
fis-1451	155	7	)	)	PUNCT
fis-1451	155	8	2	2	NUM
fis-1451	155	9	[	[	PUNCT
fis-1451	155	10	2	2	NUM
fis-1451	155	11	  	  	SPACE
fis-1451	155	12	]	]	PUNCT
fis-1451	155	13	,	,	PUNCT
fis-1451	155	14	    	    	SPACE
fis-1451	155	15	0	0	NUM
fis-1451	155	16	,	,	PUNCT
fis-1451	155	17	 	 	SPACE
fis-1451	155	18	1	1	NUM
fis-1451	155	19	,	,	PUNCT
fis-1451	155	20	 	 	SPACE
fis-1451	155	21	2	2	NUM
fis-1451	155	22	  	  	SPACE
fis-1451	155	23	n	n	CCONJ
fis-1451	155	24	n	n	CCONJ
fis-1451	155	25	n	n	CCONJ
fis-1451	155	26	kn	kn	PROPN
fis-1451	155	27	y	y	PROPN
fis-1451	155	28	n	n	PROPN
fis-1451	155	29	n	n	CCONJ
fis-1451	155	30	n	n	NOUN
fis-1451	155	31	r	r	NOUN
fis-1451	155	32	k	k	PROPN
fis-1451	155	33	n	n	CCONJ
fis-1451	155	34	k	k	X
fis-1451	155	35	ry	ry	INTJ
fis-1451	156	1	ul	ul	PROPN
fis-1451	156	2	s	s	PART
fis-1451	156	3	cod	cod	NOUN
fis-1451	156	4	x	x	PUNCT
fis-1451	156	5	c	c	NOUN
fis-1451	156	6	arccos	arccos	X
fis-1451	156	7	x	x	PUNCT
fis-1451	156	8	t	t	PROPN
fis-1451	156	9	sin	sin	NOUN
fis-1451	156	10	r	r	NOUN
fis-1451	156	11	arccos	arcco	NOUN
fis-1451	156	12	x	x	PUNCT
fis-1451	156	13	n	n	ADP
fis-1451	156	14	e	e	NOUN
fis-1451	156	15	n	n	ADP
fis-1451	156	16	s	s	NOUN
fis-1451	156	17	r	r	NOUN
fis-1451	156	18	(	(	PUNCT
fis-1451	156	19	12	12	NUM
fis-1451	156	20	)	)	PUNCT
fis-1451	156	21	i.	i.	NOUN
fis-1451	156	22	telichev	telichev	PROPN
fis-1451	156	23	,	,	PUNCT
fis-1451	156	24	frattura	frattura	PROPN
fis-1451	156	25	ed	ed	PROPN
fis-1451	156	26	integrità	integrità	PROPN
fis-1451	156	27	strutturale	strutturale	PROPN
fis-1451	156	28	,	,	PUNCT
fis-1451	156	29	32	32	NUM
fis-1451	156	30	(	(	PUNCT
fis-1451	156	31	2015	2015	NUM
fis-1451	156	32	)	)	PUNCT
fis-1451	156	33	24	24	NUM
fis-1451	156	34	-	-	SYM
fis-1451	156	35	34	34	NUM
fis-1451	156	36	;	;	PUNCT
fis-1451	156	37	doi	doi	NOUN
fis-1451	156	38	:	:	PUNCT
fis-1451	156	39	10.3221	10.3221	NUM
fis-1451	156	40	/	/	SYM
fis-1451	156	41	igf	igf	PROPN
fis-1451	156	42	-	-	PUNCT
fis-1451	156	43	esis.32.03	esis.32.03	ADJ
fis-1451	156	44	31	31	NUM
fis-1451	156	45	the	the	DET
fis-1451	156	46	presented	present	VERB
fis-1451	156	47	technique	technique	NOUN
fis-1451	156	48	allows	allow	VERB
fis-1451	156	49	determining	determine	VERB
fis-1451	156	50	the	the	DET
fis-1451	156	51	crack	crack	NOUN
fis-1451	156	52	opening	opening	NOUN
fis-1451	156	53	profile	profile	NOUN
fis-1451	156	54	for	for	ADP
fis-1451	156	55	the	the	DET
fis-1451	156	56	entire	entire	ADJ
fis-1451	156	57	crack	crack	NOUN
fis-1451	156	58	(	(	PUNCT
fis-1451	156	59	fig	fig	NOUN
fis-1451	156	60	.	.	PUNCT
fis-1451	156	61	6	6	NUM
fis-1451	156	62	)	)	PUNCT
fis-1451	156	63	and	and	CCONJ
fis-1451	156	64	calculate	calculate	VERB
fis-1451	156	65	the	the	DET
fis-1451	156	66	opening	open	VERB
fis-1451	156	67	displacement	displacement	NOUN
fis-1451	156	68	(	(	PUNCT
fis-1451	156	69	ctod	ctod	VERB
fis-1451	156	70	)	)	PUNCT
fis-1451	156	71	specifically	specifically	ADV
fis-1451	156	72	at	at	ADP
fis-1451	156	73	the	the	DET
fis-1451	156	74	crack	crack	NOUN
fis-1451	156	75	tip	tip	NOUN
fis-1451	156	76	:	:	PUNCT
fis-1451	157	1			NOUN
fis-1451	157	2	2	2	NOUN
fis-1451	157	3	*	*	SYM
fis-1451	157	4	2	2	NUM
fis-1451	157	5	2	2	NUM
fis-1451	157	6	1	1	NUM
fis-1451	157	7	4	4	NUM
fis-1451	157	8	(	(	PUNCT
fis-1451	157	9	1	1	NUM
fis-1451	157	10	)	)	PUNCT
fis-1451	157	11	  	  	SPACE
fis-1451	157	12	n	n	PRON
fis-1451	157	13	ky	ky	PROPN
fis-1451	157	14	ky	ky	PROPN
fis-1451	157	15	ul	ul	INTJ
fis-1451	157	16	s	s	AUX
fis-1451	157	17	ctod	ctod	VERB
fis-1451	157	18	cod	cod	NOUN
fis-1451	157	19	x	x	PUNCT
fis-1451	157	20	e	e	NOUN
fis-1451	157	21	n	n	NOUN
fis-1451	157	22	s	s	PART
fis-1451	157	23			NOUN
fis-1451	157	24			ADJ
fis-1451	157	25			PROPN
fis-1451	157	26			NUM
fis-1451	158	1			NUM
fis-1451	158	2			PROPN
fis-1451	158	3			PROPN
fis-1451	158	4			PROPN
fis-1451	158	5			PROPN
fis-1451	158	6			X
fis-1451	158	7	(	(	PUNCT
fis-1451	158	8	13	13	NUM
fis-1451	158	9	)	)	PUNCT
fis-1451	158	10	fig	fig	NOUN
fis-1451	158	11	.	.	PUNCT
fis-1451	159	1	7	7	NUM
fis-1451	159	2	illustrates	illustrate	VERB
fis-1451	159	3	the	the	DET
fis-1451	159	4	convergence	convergence	NOUN
fis-1451	159	5	of	of	ADP
fis-1451	159	6	the	the	DET
fis-1451	159	7	numerical	numerical	ADJ
fis-1451	159	8	procedure	procedure	NOUN
fis-1451	159	9	.	.	PUNCT
fis-1451	160	1	it	it	PRON
fis-1451	160	2	allows	allow	VERB
fis-1451	160	3	calculating	calculate	VERB
fis-1451	160	4	the	the	DET
fis-1451	160	5	crack	crack	NOUN
fis-1451	160	6	tip	tip	NOUN
fis-1451	160	7	opening	opening	NOUN
fis-1451	160	8	angle	angle	NOUN
fis-1451	160	9	as	as	ADV
fis-1451	160	10	well	well	ADV
fis-1451	160	11	.	.	PUNCT
fis-1451	161	1	modules	module	NOUN
fis-1451	161	2	12	12	NUM
fis-1451	161	3	-	-	SYM
fis-1451	161	4	14	14	NUM
fis-1451	161	5	:	:	PUNCT
fis-1451	161	6	the	the	DET
fis-1451	161	7	critical	critical	ADJ
fis-1451	161	8	crack	crack	NOUN
fis-1451	161	9	tip	tip	NOUN
fis-1451	161	10	opening	opening	NOUN
fis-1451	161	11	displacement	displacement	NOUN
fis-1451	161	12	is	be	AUX
fis-1451	161	13	used	use	VERB
fis-1451	161	14	as	as	ADP
fis-1451	161	15	a	a	DET
fis-1451	161	16	fracture	fracture	NOUN
fis-1451	161	17	criterion	criterion	NOUN
fis-1451	161	18	(	(	PUNCT
fis-1451	161	19	ctodc	ctodc	PROPN
fis-1451	161	20	)	)	PUNCT
fis-1451	161	21	.	.	PUNCT
fis-1451	162	1	once	once	SCONJ
fis-1451	162	2	the	the	DET
fis-1451	162	3	value	value	NOUN
fis-1451	162	4	of	of	ADP
fis-1451	162	5	ctod	ctod	NOUN
fis-1451	162	6	has	have	AUX
fis-1451	162	7	been	be	AUX
fis-1451	162	8	determined	determine	VERB
fis-1451	162	9	and	and	CCONJ
fis-1451	162	10	compared	compare	VERB
fis-1451	162	11	with	with	ADP
fis-1451	162	12	the	the	DET
fis-1451	162	13	value	value	NOUN
fis-1451	162	14	of	of	ADP
fis-1451	162	15	ctodc	ctodc	PROPN
fis-1451	162	16	it	it	PRON
fis-1451	162	17	is	be	AUX
fis-1451	162	18	possible	possible	ADJ
fis-1451	162	19	to	to	PART
fis-1451	162	20	answer	answer	VERB
fis-1451	162	21	the	the	DET
fis-1451	162	22	main	main	ADJ
fis-1451	162	23	question	question	NOUN
fis-1451	162	24	if	if	SCONJ
fis-1451	162	25	there	there	PRON
fis-1451	162	26	is	be	VERB
fis-1451	162	27	a	a	DET
fis-1451	162	28	case	case	NOUN
fis-1451	162	29	of	of	ADP
fis-1451	162	30	simple	simple	ADJ
fis-1451	162	31	perforation	perforation	NOUN
fis-1451	162	32	without	without	ADP
fis-1451	162	33	crack	crack	NOUN
fis-1451	162	34	growth	growth	NOUN
fis-1451	162	35	from	from	ADP
fis-1451	162	36	the	the	DET
fis-1451	162	37	impact	impact	NOUN
fis-1451	162	38	hole	hole	NOUN
fis-1451	162	39	or	or	CCONJ
fis-1451	162	40	crack	crack	VERB
fis-1451	162	41	propagation	propagation	NOUN
fis-1451	162	42	and	and	CCONJ
fis-1451	162	43	subsequently	subsequently	ADV
fis-1451	162	44	catastrophic	catastrophic	ADJ
fis-1451	162	45	rupture	rupture	NOUN
fis-1451	162	46	.	.	PUNCT
fis-1451	163	1	we	we	PRON
fis-1451	163	2	have	have	AUX
fis-1451	163	3	thus	thus	ADV
fis-1451	163	4	obtained	obtain	VERB
fis-1451	163	5	the	the	DET
fis-1451	163	6	complete	complete	ADJ
fis-1451	163	7	solution	solution	NOUN
fis-1451	163	8	of	of	ADP
fis-1451	163	9	the	the	DET
fis-1451	163	10	problem	problem	NOUN
fis-1451	163	11	.	.	PUNCT
fis-1451	164	1	figure	figure	VERB
fis-1451	164	2	6	6	NUM
fis-1451	164	3	:	:	PUNCT
fis-1451	164	4	crack	crack	VERB
fis-1451	164	5	profile	profile	NOUN
fis-1451	164	6	.	.	PUNCT
fis-1451	165	1	figure	figure	VERB
fis-1451	165	2	7	7	NUM
fis-1451	165	3	:	:	PUNCT
fis-1451	165	4	convergence	convergence	NOUN
fis-1451	165	5	of	of	ADP
fis-1451	165	6	ctod	ctod	VERB
fis-1451	165	7	calculation	calculation	NOUN
fis-1451	165	8	.	.	PUNCT
fis-1451	166	1	numerical	numerical	PROPN
fis-1451	166	2	results	result	NOUN
fis-1451	166	3	his	his	PRON
fis-1451	166	4	section	section	NOUN
fis-1451	166	5	gives	give	VERB
fis-1451	166	6	the	the	DET
fis-1451	166	7	numerical	numerical	ADJ
fis-1451	166	8	examples	example	NOUN
fis-1451	166	9	which	which	PRON
fis-1451	166	10	illustrate	illustrate	VERB
fis-1451	166	11	the	the	DET
fis-1451	166	12	application	application	NOUN
fis-1451	166	13	of	of	ADP
fis-1451	166	14	the	the	DET
fis-1451	166	15	method	method	NOUN
fis-1451	166	16	of	of	ADP
fis-1451	166	17	singular	singular	ADJ
fis-1451	166	18	integral	integral	ADJ
fis-1451	166	19	equations	equation	NOUN
fis-1451	166	20	for	for	ADP
fis-1451	166	21	the	the	DET
fis-1451	166	22	structures	structure	NOUN
fis-1451	166	23	with	with	ADP
fis-1451	166	24	cracks	crack	NOUN
fis-1451	166	25	or	or	CCONJ
fis-1451	166	26	crack	crack	NOUN
fis-1451	166	27	-	-	PUNCT
fis-1451	166	28	like	like	ADJ
fis-1451	166	29	damages	damage	NOUN
fis-1451	166	30	.	.	PUNCT
fis-1451	167	1	the	the	DET
fis-1451	167	2	fig	fig	NOUN
fis-1451	167	3	.	.	PUNCT
fis-1451	167	4	8	8	NUM
fis-1451	167	5	illustrates	illustrate	VERB
fis-1451	167	6	the	the	DET
fis-1451	167	7	evolution	evolution	NOUN
fis-1451	167	8	of	of	ADP
fis-1451	167	9	the	the	DET
fis-1451	167	10	crack	crack	NOUN
fis-1451	167	11	tip	tip	NOUN
fis-1451	167	12	opening	open	VERB
fis-1451	167	13	displacement	displacement	NOUN
fis-1451	167	14	after	after	SCONJ
fis-1451	167	15	an	an	DET
fis-1451	167	16	impact	impact	NOUN
fis-1451	167	17	hole	hole	NOUN
fis-1451	167	18	was	be	AUX
fis-1451	167	19	suddenly	suddenly	ADV
fis-1451	167	20	introduced	introduce	VERB
fis-1451	167	21	in	in	ADP
fis-1451	167	22	the	the	DET
fis-1451	167	23	loaded	load	VERB
fis-1451	167	24	plate	plate	NOUN
fis-1451	167	25	made	make	VERB
fis-1451	167	26	of	of	ADP
fis-1451	167	27	aluminum	aluminum	NOUN
fis-1451	167	28	alloy	alloy	NOUN
fis-1451	167	29	2024	2024	NUM
fis-1451	167	30	.	.	PUNCT
fis-1451	168	1	once	once	ADV
fis-1451	168	2	ctod	ctod	VERB
fis-1451	168	3	has	have	AUX
fis-1451	168	4	reached	reach	VERB
fis-1451	168	5	the	the	DET
fis-1451	168	6	critical	critical	ADJ
fis-1451	168	7	value	value	NOUN
fis-1451	168	8	,	,	PUNCT
fis-1451	168	9	the	the	DET
fis-1451	168	10	crack	crack	NOUN
fis-1451	168	11	starts	start	VERB
fis-1451	168	12	to	to	PART
fis-1451	168	13	propagate	propagate	VERB
fis-1451	168	14	.	.	PUNCT
fis-1451	169	1	the	the	DET
fis-1451	169	2	estimated	estimate	VERB
fis-1451	169	3	speed	speed	NOUN
fis-1451	169	4	of	of	ADP
fis-1451	169	5	crack	crack	NOUN
fis-1451	169	6	propagation	propagation	NOUN
fis-1451	169	7	in	in	ADP
fis-1451	169	8	the	the	DET
fis-1451	169	9	metal	metal	NOUN
fis-1451	169	10	(	(	PUNCT
fis-1451	169	11	vcr	vcr	NOUN
fis-1451	169	12	)	)	PUNCT
fis-1451	169	13	varies	vary	VERB
fis-1451	169	14	in	in	ADP
fis-1451	169	15	a	a	DET
fis-1451	169	16	range	range	NOUN
fis-1451	169	17	of	of	ADP
fis-1451	169	18	0.2	0.2	NUM
fis-1451	169	19	c0	c0	NOUN
fis-1451	169	20	to	to	ADP
fis-1451	169	21	0.29c0	0.29c0	PROPN
fis-1451	169	22	,	,	PUNCT
fis-1451	169	23	where	where	SCONJ
fis-1451	169	24	c0	c0	PROPN
fis-1451	169	25	is	be	AUX
fis-1451	169	26	the	the	DET
fis-1451	169	27	speed	speed	NOUN
fis-1451	169	28	of	of	ADP
fis-1451	169	29	sound	sound	NOUN
fis-1451	169	30	[	[	X
fis-1451	169	31	12	12	NUM
fis-1451	169	32	-	-	SYM
fis-1451	169	33	14	14	NUM
fis-1451	169	34	]	]	PUNCT
fis-1451	169	35	.	.	PUNCT
fis-1451	170	1	for	for	ADP
fis-1451	170	2	the	the	DET
fis-1451	170	3	calculations	calculation	NOUN
fis-1451	170	4	it	it	PRON
fis-1451	170	5	was	be	AUX
fis-1451	170	6	assumed	assume	VERB
fis-1451	170	7	that	that	SCONJ
fis-1451	170	8	vcr	vcr	PROPN
fis-1451	170	9			X
fis-1451	170	10	0.27c0	0.27c0	NUM
fis-1451	170	11	.	.	PUNCT
fis-1451	171	1	figure	figure	NOUN
fis-1451	171	2	8	8	NUM
fis-1451	171	3	:	:	PUNCT
fis-1451	171	4	evolution	evolution	NOUN
fis-1451	171	5	of	of	ADP
fis-1451	171	6	the	the	DET
fis-1451	171	7	crack	crack	NOUN
fis-1451	171	8	tip	tip	NOUN
fis-1451	171	9	opening	open	VERB
fis-1451	171	10	displacement	displacement	NOUN
fis-1451	171	11	.	.	PUNCT
fis-1451	172	1	t	t	PROPN
fis-1451	172	2	i.	i.	PROPN
fis-1451	172	3	telichev	telichev	PROPN
fis-1451	172	4	,	,	PUNCT
fis-1451	172	5	frattura	frattura	PROPN
fis-1451	172	6	ed	ed	PROPN
fis-1451	172	7	integrità	integrità	PROPN
fis-1451	172	8	strutturale	strutturale	PROPN
fis-1451	172	9	,	,	PUNCT
fis-1451	172	10	32	32	NUM
fis-1451	172	11	(	(	PUNCT
fis-1451	172	12	2015	2015	NUM
fis-1451	172	13	)	)	PUNCT
fis-1451	172	14	24	24	NUM
fis-1451	172	15	-	-	SYM
fis-1451	172	16	34	34	NUM
fis-1451	172	17	;	;	PUNCT
fis-1451	172	18	doi	doi	NOUN
fis-1451	172	19	:	:	PUNCT
fis-1451	172	20	10.3221	10.3221	NUM
fis-1451	172	21	/	/	SYM
fis-1451	172	22	igf	igf	PROPN
fis-1451	172	23	-	-	PUNCT
fis-1451	172	24	esis.32.03	esis.32.03	ADJ
fis-1451	172	25	32	32	NUM
fis-1451	172	26	it	it	PRON
fis-1451	172	27	is	be	AUX
fis-1451	172	28	known	know	VERB
fis-1451	172	29	that	that	SCONJ
fis-1451	172	30	the	the	DET
fis-1451	172	31	ratio	ratio	NOUN
fis-1451	172	32	of	of	ADP
fis-1451	172	33	the	the	DET
fis-1451	172	34	radial	radial	ADJ
fis-1451	172	35	crack	crack	NOUN
fis-1451	172	36	length	length	NOUN
fis-1451	172	37	(	(	PUNCT
fis-1451	172	38	lrad.cr	lrad.cr	NOUN
fis-1451	172	39	.	.	PUNCT
fis-1451	172	40	)	)	PUNCT
fis-1451	172	41	to	to	ADP
fis-1451	172	42	the	the	DET
fis-1451	172	43	hole	hole	NOUN
fis-1451	172	44	diameter	diameter	NOUN
fis-1451	172	45	(	(	PUNCT
fis-1451	172	46	dhole	dhole	PROPN
fis-1451	172	47	)	)	PUNCT
fis-1451	172	48	has	have	VERB
fis-1451	172	49	a	a	DET
fis-1451	172	50	considerable	considerable	ADJ
fis-1451	172	51	effect	effect	NOUN
fis-1451	172	52	on	on	ADP
fis-1451	172	53	the	the	DET
fis-1451	172	54	critical	critical	ADJ
fis-1451	172	55	stress	stress	NOUN
fis-1451	172	56	.	.	PUNCT
fis-1451	173	1	fig	fig	NOUN
fis-1451	173	2	.	.	PUNCT
fis-1451	174	1	9	9	NUM
fis-1451	174	2	illustrates	illustrate	VERB
fis-1451	174	3	that	that	SCONJ
fis-1451	174	4	the	the	DET
fis-1451	174	5	singular	singular	ADJ
fis-1451	174	6	integral	integral	ADJ
fis-1451	174	7	equations	equation	NOUN
fis-1451	174	8	method	method	NOUN
fis-1451	174	9	allows	allow	VERB
fis-1451	174	10	obtaining	obtain	VERB
fis-1451	174	11	the	the	DET
fis-1451	174	12	accurate	accurate	ADJ
fis-1451	174	13	result	result	NOUN
fis-1451	174	14	for	for	ADP
fis-1451	174	15	any	any	DET
fis-1451	174	16	specific	specific	ADJ
fis-1451	174	17	case	case	NOUN
fis-1451	174	18	of	of	ADP
fis-1451	174	19	(	(	PUNCT
fis-1451	174	20	lrad.cr./dhole)-ratio	lrad.cr./dhole)-ratio	PROPN
fis-1451	174	21	.	.	PUNCT
fis-1451	175	1	the	the	DET
fis-1451	175	2	obtained	obtain	VERB
fis-1451	175	3	results	result	NOUN
fis-1451	175	4	also	also	ADV
fis-1451	175	5	illustrate	illustrate	VERB
fis-1451	175	6	the	the	DET
fis-1451	175	7	fact	fact	NOUN
fis-1451	175	8	that	that	SCONJ
fis-1451	175	9	for	for	ADP
fis-1451	175	10	lrad.cr./dhole>0.25	lrad.cr./dhole>0.25	PROPN
fis-1451	175	11	,	,	PUNCT
fis-1451	175	12	the	the	DET
fis-1451	175	13	hole	hole	NOUN
fis-1451	175	14	with	with	ADP
fis-1451	175	15	two	two	NUM
fis-1451	175	16	radial	radial	ADJ
fis-1451	175	17	cracks	crack	NOUN
fis-1451	175	18	can	can	AUX
fis-1451	175	19	be	be	AUX
fis-1451	175	20	considered	consider	VERB
fis-1451	175	21	as	as	ADP
fis-1451	175	22	a	a	DET
fis-1451	175	23	straight	straight	ADJ
fis-1451	175	24	crack	crack	NOUN
fis-1451	175	25	.	.	PUNCT
fis-1451	176	1	figure	figure	NOUN
fis-1451	176	2	9	9	NUM
fis-1451	176	3	:	:	PUNCT
fis-1451	176	4	critical	critical	ADJ
fis-1451	176	5	stress	stress	NOUN
fis-1451	176	6	for	for	ADP
fis-1451	176	7	various	various	ADJ
fis-1451	176	8	(	(	PUNCT
fis-1451	176	9	lrad.cr./dhole)-ratio	lrad.cr./dhole)-ratio	X
fis-1451	176	10	in	in	ADP
fis-1451	176	11	order	order	NOUN
fis-1451	176	12	to	to	PART
fis-1451	176	13	verify	verify	VERB
fis-1451	176	14	above	above	ADP
fis-1451	176	15	method	method	NOUN
fis-1451	176	16	and	and	CCONJ
fis-1451	176	17	illustrate	illustrate	VERB
fis-1451	176	18	its	its	PRON
fis-1451	176	19	application	application	NOUN
fis-1451	176	20	,	,	PUNCT
fis-1451	176	21	numerical	numerical	ADJ
fis-1451	176	22	calculations	calculation	NOUN
fis-1451	176	23	were	be	AUX
fis-1451	176	24	performed	perform	VERB
fis-1451	176	25	and	and	CCONJ
fis-1451	176	26	compared	compare	VERB
fis-1451	176	27	with	with	ADP
fis-1451	176	28	results	result	NOUN
fis-1451	176	29	of	of	ADP
fis-1451	176	30	impact	impact	NOUN
fis-1451	176	31	and	and	CCONJ
fis-1451	176	32	tensile	tensile	NOUN
fis-1451	176	33	tests	test	NOUN
fis-1451	176	34	of	of	ADP
fis-1451	176	35	the	the	DET
fis-1451	176	36	3	3	NUM
fis-1451	176	37	-	-	PUNCT
fis-1451	176	38	mm	mm	NOUN
fis-1451	176	39	thickness	thickness	NOUN
fis-1451	176	40	specimens	specimen	NOUN
fis-1451	176	41	fabricated	fabricate	VERB
fis-1451	176	42	from	from	ADP
fis-1451	176	43	alloy	alloy	NOUN
fis-1451	176	44	2024	2024	NUM
fis-1451	176	45	with	with	ADP
fis-1451	176	46	ultimate	ultimate	ADJ
fis-1451	176	47	tensile	tensile	NOUN
fis-1451	176	48	strength	strength	NOUN
fis-1451	176	49	σu	σu	ADP
fis-1451	176	50	=	=	NOUN
fis-1451	176	51	446	446	NUM
fis-1451	176	52	mpa	mpa	NOUN
fis-1451	176	53	,	,	PUNCT
fis-1451	176	54	yield	yield	NOUN
fis-1451	176	55	strength	strength	NOUN
fis-1451	176	56	σy=370	σy=370	PUNCT
fis-1451	176	57	mpa	mpa	PROPN
fis-1451	176	58	,	,	PUNCT
fis-1451	176	59	modulus	modulus	NOUN
fis-1451	176	60	of	of	ADP
fis-1451	176	61	elasticity	elasticity	NOUN
fis-1451	176	62	e=70000	e=70000	PROPN
fis-1451	176	63	mpa	mpa	PROPN
fis-1451	176	64	,	,	PUNCT
fis-1451	176	65	poisson	poisson	PROPN
fis-1451	176	66	’s	’s	PART
fis-1451	176	67	ratio	ratio	NOUN
fis-1451	176	68	ν=0.33	ν=0.33	ADJ
fis-1451	176	69	and	and	CCONJ
fis-1451	176	70	fracture	fracture	ADJ
fis-1451	176	71	toughness	toughness	NOUN
fis-1451	176	72	kc=	kc=	ADJ
fis-1451	176	73	53.9	53.9	NUM
fis-1451	176	74	mpa	mpa	NOUN
fis-1451	176	75	m1/2	m1/2	PROPN
fis-1451	176	76	.	.	PUNCT
fis-1451	177	1	the	the	DET
fis-1451	177	2	critical	critical	ADJ
fis-1451	177	3	ctod	ctod	NOUN
fis-1451	177	4	was	be	AUX
fis-1451	177	5	determined	determine	VERB
fis-1451	177	6	assuming	assume	VERB
fis-1451	177	7	the	the	DET
fis-1451	177	8	plane	plane	NOUN
fis-1451	177	9	stress	stress	NOUN
fis-1451	177	10	state	state	NOUN
fis-1451	177	11	and	and	CCONJ
fis-1451	177	12	using	use	VERB
fis-1451	177	13	the	the	DET
fis-1451	177	14	relation	relation	NOUN
fis-1451	177	15	ctodc=(kc2)/(σye	ctodc=(kc2)/(σye	PROPN
fis-1451	177	16	)	)	PUNCT
fis-1451	177	17	.	.	PUNCT
fis-1451	178	1	to	to	PART
fis-1451	178	2	account	account	VERB
fis-1451	178	3	the	the	DET
fis-1451	178	4	strain	strain	NOUN
fis-1451	178	5	hardening	harden	VERB
fis-1451	178	6	effects	effect	NOUN
fis-1451	178	7	the	the	DET
fis-1451	178	8	σy	σy	NOUN
fis-1451	178	9	was	be	AUX
fis-1451	178	10	interpreted	interpret	VERB
fis-1451	178	11	as	as	ADP
fis-1451	178	12	an	an	DET
fis-1451	178	13	average	average	NOUN
fis-1451	178	14	of	of	ADP
fis-1451	178	15	the	the	DET
fis-1451	178	16	nominal	nominal	ADJ
fis-1451	178	17	yield	yield	NOUN
fis-1451	178	18	stress	stress	NOUN
fis-1451	178	19	and	and	CCONJ
fis-1451	178	20	ultimate	ultimate	ADJ
fis-1451	178	21	tensile	tensile	NOUN
fis-1451	178	22	strength	strength	NOUN
fis-1451	178	23	.	.	PUNCT
fis-1451	179	1	the	the	DET
fis-1451	179	2	computational	computational	ADJ
fis-1451	179	3	analysis	analysis	NOUN
fis-1451	179	4	predicted	predict	VERB
fis-1451	179	5	residual	residual	ADJ
fis-1451	179	6	strength	strength	NOUN
fis-1451	179	7	to	to	ADP
fis-1451	179	8	within	within	ADP
fis-1451	179	9	5	5	NUM
fis-1451	179	10	%	%	NOUN
fis-1451	179	11	of	of	ADP
fis-1451	179	12	the	the	DET
fis-1451	179	13	experimental	experimental	ADJ
fis-1451	179	14	data	datum	NOUN
fis-1451	179	15	given	give	VERB
fis-1451	179	16	in	in	ADP
fis-1451	179	17	[	[	X
fis-1451	179	18	4	4	NUM
fis-1451	179	19	]	]	PUNCT
fis-1451	179	20	.	.	PUNCT
fis-1451	180	1	the	the	DET
fis-1451	180	2	fig	fig	NOUN
fis-1451	180	3	.	.	PUNCT
fis-1451	181	1	10	10	NUM
fis-1451	181	2	and	and	CCONJ
fis-1451	181	3	11	11	NUM
fis-1451	181	4	illustrate	illustrate	VERB
fis-1451	181	5	a	a	DET
fis-1451	181	6	fair	fair	ADJ
fis-1451	181	7	agreement	agreement	NOUN
fis-1451	181	8	of	of	ADP
fis-1451	181	9	the	the	DET
fis-1451	181	10	obtained	obtain	VERB
fis-1451	181	11	computational	computational	ADJ
fis-1451	181	12	results	result	NOUN
fis-1451	181	13	with	with	ADP
fis-1451	181	14	test	test	NOUN
fis-1451	181	15	data	datum	NOUN
fis-1451	181	16	[	[	X
fis-1451	181	17	15	15	NUM
fis-1451	181	18	]	]	PUNCT
fis-1451	181	19	where	where	SCONJ
fis-1451	181	20	the	the	DET
fis-1451	181	21	specimens	specimen	NOUN
fis-1451	181	22	were	be	AUX
fis-1451	181	23	perforated	perforate	VERB
fis-1451	181	24	by	by	ADP
fis-1451	181	25	0.5	0.5	NUM
fis-1451	181	26	ball	ball	NOUN
fis-1451	181	27	projectile	projectile	NOUN
fis-1451	181	28	at	at	ADP
fis-1451	181	29	ballistic	ballistic	ADJ
fis-1451	181	30	velocities	velocity	NOUN
fis-1451	181	31	of	of	ADP
fis-1451	181	32	206	206	NUM
fis-1451	181	33	-	-	SYM
fis-1451	181	34	308	308	NUM
fis-1451	181	35	m	m	NOUN
fis-1451	181	36	/	/	SYM
fis-1451	181	37	s	s	VERB
fis-1451	181	38	and	and	CCONJ
fis-1451	181	39	then	then	ADV
fis-1451	181	40	subjected	subject	VERB
fis-1451	181	41	to	to	ADP
fis-1451	181	42	the	the	DET
fis-1451	181	43	tensile	tensile	NOUN
fis-1451	181	44	tests	test	NOUN
fis-1451	181	45	.	.	PUNCT
fis-1451	182	1	the	the	DET
fis-1451	182	2	specimens	specimen	NOUN
fis-1451	182	3	with	with	ADP
fis-1451	182	4	thickness	thickness	NOUN
fis-1451	182	5	of	of	ADP
fis-1451	182	6	4.8	4.8	NUM
fis-1451	182	7	mm	mm	NOUN
fis-1451	182	8	and	and	CCONJ
fis-1451	182	9	dimension	dimension	NOUN
fis-1451	182	10	of	of	ADP
fis-1451	182	11	460×910	460×910	NUM
fis-1451	182	12	mm	mm	PROPN
fis-1451	182	13	were	be	AUX
fis-1451	182	14	fabricated	fabricate	VERB
fis-1451	182	15	from	from	ADP
fis-1451	182	16	7075	7075	NUM
fis-1451	182	17	-	-	PUNCT
fis-1451	182	18	t6	t6	NOUN
fis-1451	182	19	alloy	alloy	NOUN
fis-1451	182	20	.	.	PUNCT
fis-1451	183	1	the	the	DET
fis-1451	183	2	following	follow	VERB
fis-1451	183	3	input	input	NOUN
fis-1451	183	4	data	datum	NOUN
fis-1451	183	5	were	be	AUX
fis-1451	183	6	used	use	VERB
fis-1451	183	7	for	for	ADP
fis-1451	183	8	the	the	DET
fis-1451	183	9	analysis	analysis	NOUN
fis-1451	183	10	:	:	PUNCT
fis-1451	183	11	ultimate	ultimate	ADJ
fis-1451	183	12	tensile	tensile	NOUN
fis-1451	183	13	strength	strength	NOUN
fis-1451	183	14	σu	σu	ADP
fis-1451	183	15	=	=	NOUN
fis-1451	183	16	535	535	NUM
fis-1451	183	17	mpa	mpa	NOUN
fis-1451	183	18	,	,	PUNCT
fis-1451	183	19	yield	yield	NOUN
fis-1451	183	20	strength	strength	NOUN
fis-1451	183	21	σy=468	σy=468	PROPN
fis-1451	183	22	mpa	mpa	PROPN
fis-1451	183	23	,	,	PUNCT
fis-1451	183	24	modulus	modulus	NOUN
fis-1451	183	25	of	of	ADP
fis-1451	183	26	elasticity	elasticity	NOUN
fis-1451	183	27	e=72000	e=72000	PROPN
fis-1451	183	28	mpa	mpa	PROPN
fis-1451	183	29	,	,	PUNCT
fis-1451	183	30	poisson	poisson	PROPN
fis-1451	183	31	’s	’s	PART
fis-1451	183	32	ratio	ratio	NOUN
fis-1451	183	33	ν=0.33	ν=0.33	ADJ
fis-1451	183	34	and	and	CCONJ
fis-1451	183	35	fracture	fracture	ADJ
fis-1451	183	36	toughness	toughness	NOUN
fis-1451	183	37	kc=	kc=	ADJ
fis-1451	183	38	63	63	NUM
fis-1451	183	39	mpa	mpa	NOUN
fis-1451	183	40	m1/2	m1/2	PROPN
fis-1451	183	41	for	for	ADP
fis-1451	183	42	transverse	transverse	NOUN
fis-1451	183	43	grain	grain	NOUN
fis-1451	183	44	and	and	CCONJ
fis-1451	183	45	kc=	kc=	ADJ
fis-1451	183	46	81.6	81.6	NUM
fis-1451	183	47	mpa	mpa	NOUN
fis-1451	183	48	m1/2	m1/2	PROPN
fis-1451	183	49	for	for	ADP
fis-1451	183	50	longitudinal	longitudinal	ADJ
fis-1451	183	51	grain	grain	NOUN
fis-1451	183	52	.	.	PUNCT
fis-1451	184	1	figure	figure	NOUN
fis-1451	184	2	10	10	NUM
fis-1451	184	3	:	:	PUNCT
fis-1451	184	4	computational	computational	ADJ
fis-1451	184	5	results	result	NOUN
fis-1451	184	6	vs	vs	ADP
fis-1451	184	7	test	test	NOUN
fis-1451	184	8	data	datum	NOUN
fis-1451	185	1	[	[	X
fis-1451	185	2	15	15	NUM
fis-1451	185	3	]	]	X
fis-1451	185	4	(	(	PUNCT
fis-1451	185	5	7075	7075	NUM
fis-1451	185	6	-	-	PUNCT
fis-1451	185	7	t6	t6	PROPN
fis-1451	185	8	transverse	transverse	NOUN
fis-1451	185	9	grain	grain	NOUN
fis-1451	185	10	)	)	PUNCT
fis-1451	185	11	.	.	PUNCT
fis-1451	186	1	figure	figure	VERB
fis-1451	186	2	11	11	NUM
fis-1451	186	3	:	:	PUNCT
fis-1451	186	4	computational	computational	ADJ
fis-1451	186	5	results	result	NOUN
fis-1451	186	6	vs	vs	ADP
fis-1451	186	7	test	test	NOUN
fis-1451	186	8	data	datum	NOUN
fis-1451	187	1	[	[	X
fis-1451	187	2	15	15	NUM
fis-1451	187	3	]	]	X
fis-1451	187	4	(	(	PUNCT
fis-1451	187	5	7075	7075	NUM
fis-1451	187	6	-	-	PUNCT
fis-1451	187	7	t6	t6	NOUN
fis-1451	187	8	longitudinal	longitudinal	ADJ
fis-1451	187	9	grain	grain	NOUN
fis-1451	187	10	)	)	PUNCT
fis-1451	187	11	.	.	PUNCT
fis-1451	188	1	i.	i.	PROPN
fis-1451	188	2	telichev	telichev	PROPN
fis-1451	188	3	,	,	PUNCT
fis-1451	188	4	frattura	frattura	PROPN
fis-1451	188	5	ed	ed	PROPN
fis-1451	188	6	integrità	integrità	PROPN
fis-1451	188	7	strutturale	strutturale	PROPN
fis-1451	188	8	,	,	PUNCT
fis-1451	188	9	32	32	NUM
fis-1451	188	10	(	(	PUNCT
fis-1451	188	11	2015	2015	NUM
fis-1451	188	12	)	)	PUNCT
fis-1451	188	13	24	24	NUM
fis-1451	188	14	-	-	SYM
fis-1451	188	15	34	34	NUM
fis-1451	188	16	;	;	PUNCT
fis-1451	188	17	doi	doi	NOUN
fis-1451	188	18	:	:	PUNCT
fis-1451	188	19	10.3221	10.3221	NUM
fis-1451	188	20	/	/	SYM
fis-1451	188	21	igf	igf	PROPN
fis-1451	188	22	-	-	PUNCT
fis-1451	188	23	esis.32.03	esis.32.03	NUM
fis-1451	188	24	33	33	NUM
fis-1451	188	25	the	the	DET
fis-1451	188	26	tab	tab	NOUN
fis-1451	188	27	.	.	PUNCT
fis-1451	188	28	1	1	NUM
fis-1451	188	29	presents	present	VERB
fis-1451	188	30	a	a	DET
fis-1451	188	31	comparison	comparison	NOUN
fis-1451	188	32	with	with	ADP
fis-1451	188	33	the	the	DET
fis-1451	188	34	computational	computational	ADJ
fis-1451	188	35	results	result	NOUN
fis-1451	188	36	obtained	obtain	VERB
fis-1451	188	37	by	by	ADP
fis-1451	188	38	the	the	DET
fis-1451	188	39	finite	finite	PROPN
fis-1451	188	40	element	element	NOUN
fis-1451	188	41	method	method	NOUN
fis-1451	188	42	[	[	X
fis-1451	188	43	1	1	X
fis-1451	188	44	]	]	PUNCT
fis-1451	188	45	to	to	PART
fis-1451	188	46	quantify	quantify	VERB
fis-1451	188	47	the	the	DET
fis-1451	188	48	critical	critical	ADJ
fis-1451	188	49	crack	crack	NOUN
fis-1451	188	50	length	length	NOUN
fis-1451	188	51	in	in	ADP
fis-1451	188	52	the	the	DET
fis-1451	188	53	cylindrical	cylindrical	ADJ
fis-1451	188	54	pressurized	pressurized	NOUN
fis-1451	188	55	module	module	NOUN
fis-1451	188	56	experiencing	experience	VERB
fis-1451	188	57	68.6	68.6	NUM
fis-1451	188	58	mpa	mpa	NOUN
fis-1451	188	59	hoop	hoop	NOUN
fis-1451	188	60	and	and	CCONJ
fis-1451	188	61	34.3	34.3	NUM
fis-1451	188	62	mpa	mpa	NOUN
fis-1451	188	63	longitudinal	longitudinal	ADJ
fis-1451	188	64	stresses	stress	NOUN
fis-1451	188	65	respectively	respectively	ADV
fis-1451	188	66	.	.	PUNCT
fis-1451	189	1	the	the	DET
fis-1451	189	2	numerical	numerical	ADJ
fis-1451	189	3	analysis	analysis	NOUN
fis-1451	189	4	was	be	AUX
fis-1451	189	5	performed	perform	VERB
fis-1451	189	6	for	for	ADP
fis-1451	189	7	2219	2219	NUM
fis-1451	189	8	-	-	PUNCT
fis-1451	189	9	t87	t87	NOUN
fis-1451	189	10	aluminum	aluminum	NOUN
fis-1451	189	11	alloy	alloy	NOUN
fis-1451	189	12	shell	shell	NOUN
fis-1451	189	13	with	with	ADP
fis-1451	189	14	the	the	DET
fis-1451	189	15	following	follow	VERB
fis-1451	189	16	parameters	parameter	NOUN
fis-1451	189	17	:	:	PUNCT
fis-1451	189	18	σu	σu	PROPN
fis-1451	189	19	=	=	SYM
fis-1451	189	20	430	430	NUM
fis-1451	189	21	mpa	mpa	NOUN
fis-1451	189	22	,	,	PUNCT
fis-1451	189	23	σy=343	σy=343	PROPN
fis-1451	189	24	mpa	mpa	PROPN
fis-1451	189	25	,	,	PUNCT
fis-1451	189	26	e=73800	e=73800	PROPN
fis-1451	189	27	mpa	mpa	PROPN
fis-1451	189	28	,	,	PUNCT
fis-1451	189	29	ν=0.33	ν=0.33	PROPN
fis-1451	189	30	,	,	PUNCT
fis-1451	189	31	wall	wall	PROPN
fis-1451	189	32	thickness	thickness	PROPN
fis-1451	189	33	ts=3.17	ts=3.17	PROPN
fis-1451	189	34	mm	mm	PROPN
fis-1451	189	35	,	,	PUNCT
fis-1451	189	36	toughness	toughness	NOUN
fis-1451	189	37	at	at	ADP
fis-1451	189	38	the	the	DET
fis-1451	189	39	crack	crack	NOUN
fis-1451	189	40	initiation	initiation	NOUN
fis-1451	189	41	kic=	kic=	PROPN
fis-1451	189	42	68	68	NUM
fis-1451	189	43	mpa	mpa	PROPN
fis-1451	189	44	m1/2	m1/2	NOUN
fis-1451	189	45	and	and	CCONJ
fis-1451	189	46	toughness	toughness	NOUN
fis-1451	189	47	at	at	ADP
fis-1451	189	48	the	the	DET
fis-1451	189	49	maximum	maximum	ADJ
fis-1451	189	50	load	load	NOUN
fis-1451	189	51	kc	kc	PROPN
fis-1451	189	52	max=	max=	PROPN
fis-1451	189	53	92	92	NUM
fis-1451	189	54	mpa	mpa	NOUN
fis-1451	189	55	m1/2	m1/2	PROPN
fis-1451	189	56	[	[	X
fis-1451	189	57	1	1	NUM
fis-1451	189	58	]	]	PUNCT
fis-1451	189	59	.	.	PUNCT
fis-1451	190	1	the	the	DET
fis-1451	190	2	comparisons	comparison	NOUN
fis-1451	190	3	shows	show	VERB
fis-1451	190	4	that	that	SCONJ
fis-1451	190	5	the	the	DET
fis-1451	190	6	computational	computational	ADJ
fis-1451	190	7	results	result	NOUN
fis-1451	190	8	obtained	obtain	VERB
fis-1451	190	9	by	by	ADP
fis-1451	190	10	the	the	DET
fis-1451	190	11	finite	finite	ADJ
fis-1451	190	12	element	element	NOUN
fis-1451	190	13	and	and	CCONJ
fis-1451	190	14	singular	singular	ADJ
fis-1451	190	15	integral	integral	ADJ
fis-1451	190	16	equations	equation	NOUN
fis-1451	190	17	methods	method	NOUN
fis-1451	190	18	are	be	AUX
fis-1451	190	19	in	in	ADP
fis-1451	190	20	a	a	DET
fis-1451	190	21	good	good	ADJ
fis-1451	190	22	agreement	agreement	NOUN
fis-1451	190	23	.	.	PUNCT
fis-1451	191	1	the	the	DET
fis-1451	191	2	numerical	numerical	ADJ
fis-1451	191	3	experiments	experiment	NOUN
fis-1451	191	4	on	on	ADP
fis-1451	191	5	the	the	DET
fis-1451	191	6	reinforced	reinforce	VERB
fis-1451	191	7	habitable	habitable	ADJ
fis-1451	191	8	modules	module	NOUN
fis-1451	191	9	of	of	ADP
fis-1451	191	10	the	the	DET
fis-1451	191	11	international	international	ADJ
fis-1451	191	12	space	space	NOUN
fis-1451	191	13	station	station	NOUN
fis-1451	191	14	showed	show	VERB
fis-1451	191	15	the	the	DET
fis-1451	191	16	“	"	PUNCT
fis-1451	191	17	unzipping	unzipping	NOUN
fis-1451	191	18	”	"	PUNCT
fis-1451	191	19	of	of	ADP
fis-1451	191	20	the	the	DET
fis-1451	191	21	pressure	pressure	NOUN
fis-1451	191	22	wall	wall	NOUN
fis-1451	191	23	is	be	AUX
fis-1451	191	24	unlikely	unlikely	ADJ
fis-1451	191	25	.	.	PUNCT
fis-1451	192	1	method	method	VERB
fis-1451	192	2	critical	critical	ADJ
fis-1451	192	3	crack	crack	NOUN
fis-1451	192	4	length	length	NOUN
fis-1451	192	5	,	,	PUNCT
fis-1451	192	6	mm	mm	PROPN
fis-1451	192	7	crack	crack	VERB
fis-1451	192	8	initiation	initiation	NOUN
fis-1451	192	9	crack	crack	VERB
fis-1451	192	10	unstable	unstable	ADJ
fis-1451	192	11	growth	growth	NOUN
fis-1451	192	12	elasto	elasto	NOUN
fis-1451	192	13	-	-	PUNCT
fis-1451	192	14	plastic	plastic	NOUN
fis-1451	192	15	fem	fem	NOUN
fis-1451	193	1	[	[	X
fis-1451	193	2	1	1	X
fis-1451	193	3	]	]	PUNCT
fis-1451	193	4	<	<	X
fis-1451	193	5	599	599	NUM
fis-1451	193	6	1041	1041	NUM
fis-1451	193	7	present	present	ADJ
fis-1451	193	8	approach	approach	NOUN
fis-1451	193	9	590	590	NUM
fis-1451	193	10	1082	1082	NUM
fis-1451	193	11	deviation,%	deviation,%	PROPN
fis-1451	193	12	n	n	CCONJ
fis-1451	193	13	/	/	SYM
fis-1451	193	14	a	a	DET
fis-1451	193	15	3.4	3.4	NUM
fis-1451	193	16	table	table	NOUN
fis-1451	193	17	1	1	NUM
fis-1451	193	18	:	:	PUNCT
fis-1451	193	19	critical	critical	ADJ
fis-1451	193	20	crack	crack	NOUN
fis-1451	193	21	length	length	NOUN
fis-1451	193	22	(	(	PUNCT
fis-1451	193	23	specimen	speciman	NOUN
fis-1451	193	24	:	:	PUNCT
fis-1451	193	25	2219	2219	NUM
fis-1451	193	26	-	-	PUNCT
fis-1451	193	27	t87	t87	NOUN
fis-1451	193	28	,	,	PUNCT
fis-1451	193	29	ts=3.17	ts=3.17	PROPN
fis-1451	193	30	mm	mm	PROPN
fis-1451	193	31	)	)	PUNCT
fis-1451	193	32	conclusions	conclusion	NOUN
fis-1451	193	33	he	he	PRON
fis-1451	193	34	present	present	ADJ
fis-1451	193	35	paper	paper	NOUN
fis-1451	193	36	is	be	AUX
fis-1451	193	37	focused	focus	VERB
fis-1451	193	38	on	on	ADP
fis-1451	193	39	the	the	DET
fis-1451	193	40	engineering	engineering	NOUN
fis-1451	193	41	methodology	methodology	NOUN
fis-1451	193	42	which	which	PRON
fis-1451	193	43	is	be	AUX
fis-1451	193	44	viewed	view	VERB
fis-1451	193	45	as	as	ADP
fis-1451	193	46	a	a	DET
fis-1451	193	47	key	key	ADJ
fis-1451	193	48	element	element	NOUN
fis-1451	193	49	in	in	ADP
fis-1451	193	50	the	the	DET
fis-1451	193	51	spacecraft	spacecraft	NOUN
fis-1451	193	52	design	design	NOUN
fis-1451	193	53	procedure	procedure	NOUN
fis-1451	193	54	providing	provide	VERB
fis-1451	193	55	that	that	SCONJ
fis-1451	193	56	under	under	ADP
fis-1451	193	57	no	no	DET
fis-1451	193	58	circumstances	circumstance	NOUN
fis-1451	193	59	will	will	AUX
fis-1451	193	60	the	the	DET
fis-1451	193	61	“	"	PUNCT
fis-1451	193	62	unzipping	unzipping	NOUN
fis-1451	193	63	”	"	PUNCT
fis-1451	193	64	occur	occur	NOUN
fis-1451	193	65	.	.	PUNCT
fis-1451	194	1	a	a	DET
fis-1451	194	2	model	model	NOUN
fis-1451	194	3	of	of	ADP
fis-1451	194	4	crack	crack	NOUN
fis-1451	194	5	propagation	propagation	NOUN
fis-1451	194	6	in	in	ADP
fis-1451	194	7	impact	impact	NOUN
fis-1451	194	8	-	-	PUNCT
fis-1451	194	9	damaged	damage	VERB
fis-1451	194	10	pressurized	pressurized	NOUN
fis-1451	194	11	aerospace	aerospace	NOUN
fis-1451	194	12	structure	structure	NOUN
fis-1451	194	13	is	be	AUX
fis-1451	194	14	presented	present	VERB
fis-1451	194	15	.	.	PUNCT
fis-1451	195	1	the	the	DET
fis-1451	195	2	non	non	ADJ
fis-1451	195	3	-	-	ADJ
fis-1451	195	4	linear	linear	ADJ
fis-1451	195	5	fracture	fracture	NOUN
fis-1451	195	6	analysis	analysis	NOUN
fis-1451	195	7	is	be	AUX
fis-1451	195	8	performed	perform	VERB
fis-1451	195	9	by	by	ADP
fis-1451	195	10	the	the	DET
fis-1451	195	11	method	method	NOUN
fis-1451	195	12	of	of	ADP
fis-1451	195	13	singular	singular	ADJ
fis-1451	195	14	integral	integral	ADJ
fis-1451	195	15	equations	equation	NOUN
fis-1451	195	16	.	.	PUNCT
fis-1451	196	1	comparisons	comparison	NOUN
fis-1451	196	2	of	of	ADP
fis-1451	196	3	the	the	DET
fis-1451	196	4	calculated	calculate	VERB
fis-1451	196	5	results	result	NOUN
fis-1451	196	6	with	with	ADP
fis-1451	196	7	the	the	DET
fis-1451	196	8	test	test	NOUN
fis-1451	196	9	data	datum	NOUN
fis-1451	196	10	and	and	CCONJ
fis-1451	196	11	numerical	numerical	ADJ
fis-1451	196	12	results	result	NOUN
fis-1451	196	13	obtained	obtain	VERB
fis-1451	196	14	by	by	ADP
fis-1451	196	15	finite	finite	PROPN
fis-1451	196	16	element	element	NOUN
fis-1451	196	17	method	method	NOUN
fis-1451	196	18	showed	show	VERB
fis-1451	196	19	good	good	ADJ
fis-1451	196	20	agreement	agreement	NOUN
fis-1451	196	21	.	.	PUNCT
fis-1451	197	1	the	the	DET
fis-1451	197	2	suggested	suggest	VERB
fis-1451	197	3	sie	sie	PROPN
fis-1451	197	4	-	-	PUNCT
fis-1451	197	5	based	base	VERB
fis-1451	197	6	approach	approach	NOUN
fis-1451	197	7	is	be	AUX
fis-1451	197	8	concluded	conclude	VERB
fis-1451	197	9	to	to	PART
fis-1451	197	10	be	be	AUX
fis-1451	197	11	effective	effective	ADJ
fis-1451	197	12	way	way	NOUN
fis-1451	197	13	of	of	ADP
fis-1451	197	14	assessing	assess	VERB
fis-1451	197	15	the	the	DET
fis-1451	197	16	fracture	fracture	ADJ
fis-1451	197	17	behavior	behavior	NOUN
fis-1451	197	18	of	of	ADP
fis-1451	197	19	the	the	DET
fis-1451	197	20	impact	impact	NOUN
fis-1451	197	21	damaged	damage	VERB
fis-1451	197	22	aerospace	aerospace	NOUN
fis-1451	197	23	pressurized	pressurized	NOUN
fis-1451	197	24	structures	structure	NOUN
fis-1451	197	25	.	.	PUNCT
fis-1451	198	1	acknowledgements	acknowledgement	NOUN
fis-1451	198	2	his	his	PRON
fis-1451	198	3	work	work	NOUN
fis-1451	198	4	was	be	AUX
fis-1451	198	5	supported	support	VERB
fis-1451	198	6	by	by	ADP
fis-1451	198	7	a	a	DET
fis-1451	198	8	discovery	discovery	NOUN
fis-1451	198	9	grant	grant	NOUN
fis-1451	198	10	no	no	NOUN
fis-1451	198	11	.	.	NOUN
fis-1451	198	12	402115	402115	NUM
fis-1451	198	13	-	-	SYM
fis-1451	198	14	2012	2012	NUM
fis-1451	198	15	from	from	ADP
fis-1451	198	16	the	the	DET
fis-1451	198	17	natural	natural	ADJ
fis-1451	198	18	sciences	science	NOUN
fis-1451	198	19	and	and	CCONJ
fis-1451	198	20	engineering	engineering	NOUN
fis-1451	198	21	research	research	NOUN
fis-1451	198	22	council	council	PROPN
fis-1451	198	23	of	of	ADP
fis-1451	198	24	canada	canada	PROPN
fis-1451	198	25	.	.	PUNCT
fis-1451	199	1	references	reference	NOUN
fis-1451	199	2	[	[	X
fis-1451	199	3	1	1	NUM
fis-1451	199	4	]	]	PUNCT
fis-1451	199	5	couque	couque	NOUN
fis-1451	199	6	,	,	PUNCT
fis-1451	199	7	h.	h.	PROPN
fis-1451	199	8	et	et	PROPN
fis-1451	199	9	al	al	PROPN
fis-1451	199	10	.	.	PROPN
fis-1451	199	11	swri	swri	PROPN
fis-1451	199	12	-	-	PUNCT
fis-1451	199	13	nasa	nasa	PROPN
fis-1451	199	14	cr	cr	PROPN
fis-1451	199	15	64	64	NUM
fis-1451	199	16	-	-	SYM
fis-1451	199	17	00133	00133	NUM
fis-1451	199	18	(	(	PUNCT
fis-1451	199	19	1993	1993	NUM
fis-1451	199	20	)	)	PUNCT
fis-1451	199	21	.	.	PUNCT
fis-1451	200	1	[	[	X
fis-1451	200	2	2	2	NUM
fis-1451	200	3	]	]	X
fis-1451	200	4	lutz	lutz	NOUN
fis-1451	200	5	,	,	PUNCT
fis-1451	200	6	b.e	b.e	PROPN
fis-1451	200	7	.	.	PROPN
fis-1451	200	8	&	&	CCONJ
fis-1451	200	9	goodwin	goodwin	PROPN
fis-1451	200	10	,	,	PUNCT
fis-1451	200	11	c.	c.	PROPN
fis-1451	200	12	j	j	PROPN
fis-1451	200	13	..	..	PROPN
fis-1451	200	14	nasa	nasa	PROPN
fis-1451	200	15	cr	cr	PROPN
fis-1451	200	16	4720	4720	NUM
fis-1451	200	17	,	,	PUNCT
fis-1451	200	18	(	(	PUNCT
fis-1451	200	19	1996	1996	NUM
fis-1451	200	20	)	)	PUNCT
fis-1451	200	21	.	.	PUNCT
fis-1451	201	1	[	[	X
fis-1451	201	2	3	3	NUM
fis-1451	201	3	]	]	X
fis-1451	201	4	elfer	elfer	VERB
fis-1451	201	5	,	,	PUNCT
fis-1451	201	6	n.	n.	PROPN
fis-1451	201	7	c.	c.	PROPN
fis-1451	201	8	nasa	nasa	PROPN
fis-1451	201	9	cr	cr	PROPN
fis-1451	201	10	4706	4706	NUM
fis-1451	201	11	,	,	PUNCT
fis-1451	201	12	(	(	PUNCT
fis-1451	201	13	1996	1996	NUM
fis-1451	201	14	)	)	PUNCT
fis-1451	201	15	.	.	PUNCT
fis-1451	202	1	[	[	X
fis-1451	202	2	4	4	NUM
fis-1451	202	3	]	]	PUNCT
fis-1451	202	4	telichev	telichev	NOUN
fis-1451	202	5	,	,	PUNCT
fis-1451	202	6	i.	i.	NOUN
fis-1451	202	7	,	,	PUNCT
fis-1451	202	8	unstable	unstable	ADJ
fis-1451	202	9	crack	crack	NOUN
fis-1451	202	10	propagation	propagation	NOUN
fis-1451	202	11	in	in	ADP
fis-1451	202	12	spacecraft	spacecraft	NOUN
fis-1451	202	13	pressurized	pressurized	NOUN
fis-1451	202	14	structure	structure	NOUN
fis-1451	202	15	subjected	subject	VERB
fis-1451	202	16	to	to	ADP
fis-1451	202	17	orbital	orbital	ADJ
fis-1451	202	18	debris	debris	NOUN
fis-1451	202	19	impact	impact	NOUN
fis-1451	202	20	,	,	PUNCT
fis-1451	202	21	canadian	canadian	ADJ
fis-1451	202	22	aeronautics	aeronautic	NOUN
fis-1451	202	23	and	and	CCONJ
fis-1451	202	24	space	space	NOUN
fis-1451	202	25	journal	journal	NOUN
fis-1451	202	26	,	,	PUNCT
fis-1451	202	27	57(1	57(1	NUM
fis-1451	202	28	)	)	PUNCT
fis-1451	202	29	(	(	PUNCT
fis-1451	202	30	2011	2011	NUM
fis-1451	202	31	)	)	PUNCT
fis-1451	202	32	106	106	NUM
fis-1451	202	33	-	-	SYM
fis-1451	202	34	111	111	NUM
fis-1451	202	35	.	.	PUNCT
fis-1451	203	1	[	[	X
fis-1451	203	2	5	5	NUM
fis-1451	203	3	]	]	PUNCT
fis-1451	203	4	patsyuk	patsyuk	NOUN
fis-1451	203	5	,	,	PUNCT
fis-1451	203	6	v.	v.	PROPN
fis-1451	203	7	i.	i.	PROPN
fis-1451	203	8	,	,	PUNCT
fis-1451	203	9	rimskii	rimskii	VERB
fis-1451	203	10	,	,	PUNCT
fis-1451	203	11	v.	v.	PROPN
fis-1451	203	12	k.	k.	PROPN
fis-1451	203	13	,	,	PUNCT
fis-1451	203	14	instantaneous	instantaneous	ADJ
fis-1451	203	15	formation	formation	NOUN
fis-1451	203	16	of	of	ADP
fis-1451	203	17	a	a	DET
fis-1451	203	18	round	round	ADJ
fis-1451	203	19	hole	hole	NOUN
fis-1451	203	20	in	in	ADP
fis-1451	203	21	a	a	DET
fis-1451	203	22	stretched	stretch	VERB
fis-1451	203	23	plate	plate	NOUN
fis-1451	203	24	,	,	PUNCT
fis-1451	203	25	int	int	NOUN
fis-1451	203	26	.	.	PUNCT
fis-1451	204	1	applied	apply	VERB
fis-1451	204	2	mechanics	mechanic	NOUN
fis-1451	204	3	,	,	PUNCT
fis-1451	204	4	27	27	NUM
fis-1451	204	5	(	(	PUNCT
fis-1451	204	6	1991	1991	NUM
fis-1451	204	7	)	)	PUNCT
fis-1451	204	8	1117	1117	NUM
fis-1451	204	9	-	-	SYM
fis-1451	204	10	1123	1123	NUM
fis-1451	204	11	.	.	PUNCT
fis-1451	205	1	[	[	X
fis-1451	205	2	6	6	NUM
fis-1451	205	3	]	]	X
fis-1451	205	4	muskhelishvili	muskhelishvili	NOUN
fis-1451	205	5	,	,	PUNCT
fis-1451	205	6	n.i	n.i	PROPN
fis-1451	205	7	.	.	PROPN
fis-1451	205	8	,	,	PUNCT
fis-1451	205	9	some	some	DET
fis-1451	205	10	basic	basic	ADJ
fis-1451	205	11	problems	problem	NOUN
fis-1451	205	12	of	of	ADP
fis-1451	205	13	the	the	DET
fis-1451	205	14	mathematical	mathematical	ADJ
fis-1451	205	15	theory	theory	NOUN
fis-1451	205	16	of	of	ADP
fis-1451	205	17	elasticity	elasticity	NOUN
fis-1451	205	18	,	,	PUNCT
fis-1451	205	19	leyden	leyden	PROPN
fis-1451	205	20	:	:	PUNCT
fis-1451	205	21	noordhoff	noordhoff	PROPN
fis-1451	205	22	int	int	PROPN
fis-1451	205	23	.	.	PUNCT
fis-1451	206	1	publ	publ	PROPN
fis-1451	206	2	.	.	PUNCT
fis-1451	207	1	(	(	PUNCT
fis-1451	207	2	1975	1975	NUM
fis-1451	207	3	)	)	PUNCT
fis-1451	207	4	.	.	PUNCT
fis-1451	208	1	[	[	X
fis-1451	208	2	7	7	NUM
fis-1451	208	3	]	]	X
fis-1451	208	4	savruk	savruk	NOUN
fis-1451	208	5	,	,	PUNCT
fis-1451	208	6	m.	m.	NOUN
fis-1451	208	7	p.	p.	PROPN
fis-1451	208	8	,	,	PUNCT
fis-1451	208	9	method	method	NOUN
fis-1451	208	10	of	of	ADP
fis-1451	208	11	singular	singular	ADJ
fis-1451	208	12	integral	integral	ADJ
fis-1451	208	13	equations	equation	NOUN
fis-1451	208	14	in	in	ADP
fis-1451	208	15	linear	linear	ADJ
fis-1451	208	16	and	and	CCONJ
fis-1451	208	17	elastoplastic	elastoplastic	ADJ
fis-1451	208	18	problems	problem	NOUN
fis-1451	208	19	of	of	ADP
fis-1451	208	20	fracture	fracture	NOUN
fis-1451	208	21	mechanics	mechanic	NOUN
fis-1451	208	22	,	,	PUNCT
fis-1451	208	23	mat	mat	NOUN
fis-1451	208	24	.	.	PUNCT
fis-1451	208	25	sci	sci	PROPN
fis-1451	208	26	.	.	PROPN
fis-1451	208	27	,	,	PUNCT
fis-1451	208	28	40(3	40(3	NUM
fis-1451	208	29	)	)	PUNCT
fis-1451	208	30	(	(	PUNCT
fis-1451	208	31	2004	2004	NUM
fis-1451	208	32	)	)	PUNCT
fis-1451	208	33	337	337	NUM
fis-1451	208	34	-	-	SYM
fis-1451	208	35	351	351	NUM
fis-1451	208	36	.	.	PUNCT
fis-1451	209	1	[	[	X
fis-1451	209	2	8	8	NUM
fis-1451	209	3	]	]	X
fis-1451	209	4	ladopoulos	ladopoulo	NOUN
fis-1451	209	5	,	,	PUNCT
fis-1451	209	6	e.g.	e.g.	ADV
fis-1451	209	7	,	,	PUNCT
fis-1451	209	8	singular	singular	ADJ
fis-1451	209	9	integral	integral	ADJ
fis-1451	209	10	equations	equation	NOUN
fis-1451	209	11	:	:	PUNCT
fis-1451	209	12	linear	linear	ADJ
fis-1451	209	13	and	and	CCONJ
fis-1451	209	14	non	non	ADJ
fis-1451	209	15	-	-	ADJ
fis-1451	209	16	linear	linear	ADJ
fis-1451	209	17	theory	theory	NOUN
fis-1451	209	18	and	and	CCONJ
fis-1451	209	19	its	its	PRON
fis-1451	209	20	applications	application	NOUN
fis-1451	209	21	in	in	ADP
fis-1451	209	22	science	science	NOUN
fis-1451	209	23	and	and	CCONJ
fis-1451	209	24	engineering	engineering	NOUN
fis-1451	209	25	,	,	PUNCT
fis-1451	209	26	springer	springer	NOUN
fis-1451	209	27	verlag	verlag	PROPN
fis-1451	209	28	gmbh	gmbh	PROPN
fis-1451	209	29	,	,	PUNCT
fis-1451	209	30	(	(	PUNCT
fis-1451	209	31	2000	2000	NUM
fis-1451	209	32	)	)	PUNCT
fis-1451	209	33	.	.	PUNCT
fis-1451	210	1	[	[	X
fis-1451	210	2	9	9	NUM
fis-1451	210	3	]	]	SYM
fis-1451	210	4	chernyakov	chernyakov	PROPN
fis-1451	210	5	,	,	PUNCT
fis-1451	210	6	y.a	y.a	PROPN
fis-1451	210	7	.	.	PROPN
fis-1451	210	8	,	,	PUNCT
fis-1451	210	9	grychanyuk	grychanyuk	VERB
fis-1451	210	10	v.	v.	ADJ
fis-1451	210	11	,	,	PUNCT
fis-1451	210	12	tsukrov	tsukrov	ADJ
fis-1451	210	13	,	,	PUNCT
fis-1451	210	14	v.i	v.i	PROPN
fis-1451	210	15	.	.	PROPN
fis-1451	210	16	,	,	PUNCT
fis-1451	210	17	stress	stress	NOUN
fis-1451	210	18	–	–	PUNCT
fis-1451	210	19	strain	strain	NOUN
fis-1451	210	20	relations	relation	NOUN
fis-1451	210	21	in	in	ADP
fis-1451	210	22	elastoplastic	elastoplastic	ADJ
fis-1451	210	23	solids	solid	NOUN
fis-1451	210	24	with	with	ADP
fis-1451	210	25	dugdale	dugdale	NOUN
fis-1451	210	26	-	-	PUNCT
fis-1451	210	27	type	type	NOUN
fis-1451	210	28	t	t	PROPN
fis-1451	210	29	t	t	PROPN
fis-1451	210	30	i.	i.	PROPN
fis-1451	210	31	telichev	telichev	PROPN
fis-1451	210	32	,	,	PUNCT
fis-1451	210	33	frattura	frattura	PROPN
fis-1451	210	34	ed	ed	PROPN
fis-1451	210	35	integrità	integrità	PROPN
fis-1451	210	36	strutturale	strutturale	PROPN
fis-1451	210	37	,	,	PUNCT
fis-1451	210	38	32	32	NUM
fis-1451	210	39	(	(	PUNCT
fis-1451	210	40	2015	2015	NUM
fis-1451	210	41	)	)	PUNCT
fis-1451	210	42	24	24	NUM
fis-1451	210	43	-	-	SYM
fis-1451	210	44	34	34	NUM
fis-1451	210	45	;	;	PUNCT
fis-1451	210	46	doi	doi	NOUN
fis-1451	210	47	:	:	PUNCT
fis-1451	210	48	10.3221	10.3221	NUM
fis-1451	210	49	/	/	SYM
fis-1451	210	50	igf	igf	PROPN
fis-1451	210	51	-	-	PUNCT
fis-1451	210	52	esis.32.03	esis.32.03	ADJ
fis-1451	210	53	34	34	NUM
fis-1451	210	54	cracks	crack	NOUN
fis-1451	210	55	,	,	PUNCT
fis-1451	210	56	engineering	engineering	NOUN
fis-1451	210	57	fracture	fracture	NOUN
fis-1451	210	58	mechanics	mechanic	NOUN
fis-1451	210	59	,	,	PUNCT
fis-1451	210	60	70	70	NUM
fis-1451	210	61	(	(	PUNCT
fis-1451	210	62	200	200	NUM
fis-1451	210	63	)	)	PUNCT
fis-1451	210	64	32163–74	32163–74	NUM
fis-1451	210	65	.	.	PUNCT
fis-1451	211	1	[	[	X
fis-1451	211	2	10	10	NUM
fis-1451	211	3	]	]	X
fis-1451	211	4	chen	chen	PROPN
fis-1451	211	5	,	,	PUNCT
fis-1451	211	6	y.z	y.z	PROPN
fis-1451	211	7	.	.	PROPN
fis-1451	211	8	,	,	PUNCT
fis-1451	211	9	lin	lin	PROPN
fis-1451	211	10	,	,	PUNCT
fis-1451	211	11	x.y	x.y	PROPN
fis-1451	211	12	.	.	PROPN
fis-1451	211	13	,	,	PUNCT
fis-1451	211	14	numerical	numerical	ADJ
fis-1451	211	15	solution	solution	NOUN
fis-1451	211	16	of	of	ADP
fis-1451	211	17	singular	singular	ADJ
fis-1451	211	18	integral	integral	ADJ
fis-1451	211	19	equation	equation	NOUN
fis-1451	211	20	for	for	ADP
fis-1451	211	21	multiple	multiple	ADJ
fis-1451	211	22	curved	curved	ADJ
fis-1451	211	23	branch	branch	NOUN
fis-1451	211	24	-	-	PUNCT
fis-1451	211	25	cracks	crack	NOUN
fis-1451	211	26	.	.	PUNCT
fis-1451	212	1	structural	structural	ADJ
fis-1451	212	2	engineering	engineering	NOUN
fis-1451	212	3	and	and	CCONJ
fis-1451	212	4	mechanics	mechanic	NOUN
fis-1451	212	5	,	,	PUNCT
fis-1451	212	6	34(1	34(1	NUM
fis-1451	212	7	)	)	PUNCT
fis-1451	212	8	(	(	PUNCT
fis-1451	212	9	2010	2010	NUM
fis-1451	212	10	)	)	PUNCT
fis-1451	212	11	85	85	NUM
fis-1451	212	12	-	-	SYM
fis-1451	212	13	95	95	NUM
fis-1451	212	14	.	.	PUNCT
fis-1451	213	1	[	[	X
fis-1451	213	2	11	11	NUM
fis-1451	213	3	]	]	X
fis-1451	213	4	galybin	galybin	PROPN
fis-1451	213	5	,	,	PUNCT
fis-1451	213	6	a.n	a.n	PROPN
fis-1451	213	7	.	.	PROPN
fis-1451	213	8	,	,	PUNCT
fis-1451	213	9	dyskin	dyskin	PROPN
fis-1451	213	10	,	,	PUNCT
fis-1451	213	11	a.v	a.v	PROPN
fis-1451	213	12	.	.	PROPN
fis-1451	213	13	,	,	PUNCT
fis-1451	213	14	random	random	ADJ
fis-1451	213	15	trajectories	trajectory	NOUN
fis-1451	213	16	of	of	ADP
fis-1451	213	17	crack	crack	NOUN
fis-1451	213	18	growth	growth	NOUN
fis-1451	213	19	caused	cause	VERB
fis-1451	213	20	by	by	ADP
fis-1451	213	21	spatial	spatial	ADJ
fis-1451	213	22	stress	stress	NOUN
fis-1451	213	23	fluctuations	fluctuation	NOUN
fis-1451	213	24	,	,	PUNCT
fis-1451	213	25	international	international	ADJ
fis-1451	213	26	journal	journal	NOUN
fis-1451	213	27	of	of	ADP
fis-1451	213	28	fracture	fracture	NOUN
fis-1451	213	29	,	,	PUNCT
fis-1451	213	30	128	128	NUM
fis-1451	213	31	(	(	PUNCT
fis-1451	213	32	2004	2004	NUM
fis-1451	213	33	)	)	PUNCT
fis-1451	213	34	95–103	95–103	NUM
fis-1451	213	35	.	.	PUNCT
fis-1451	214	1	[	[	X
fis-1451	214	2	12	12	NUM
fis-1451	214	3	]	]	X
fis-1451	214	4	broek	broek	PROPN
fis-1451	214	5	,	,	PUNCT
fis-1451	214	6	d.	d.	PROPN
fis-1451	214	7	,	,	PUNCT
fis-1451	214	8	elementary	elementary	ADJ
fis-1451	214	9	engineering	engineering	PROPN
fis-1451	214	10	fracture	fracture	PROPN
fis-1451	214	11	mechanics	mechanic	NOUN
fis-1451	214	12	,	,	PUNCT
fis-1451	214	13	noordorf	noordorf	PROPN
fis-1451	214	14	int	int	PROPN
fis-1451	214	15	.	.	PUNCT
fis-1451	215	1	publishing	publishing	NOUN
fis-1451	215	2	,	,	PUNCT
fis-1451	215	3	leyden	leyden	PROPN
fis-1451	215	4	,	,	PUNCT
fis-1451	215	5	(	(	PUNCT
fis-1451	215	6	1974	1974	NUM
fis-1451	215	7	)	)	PUNCT
fis-1451	215	8	.	.	PUNCT
fis-1451	216	1	[	[	X
fis-1451	216	2	13	13	NUM
fis-1451	216	3	]	]	SYM
fis-1451	216	4	ionov	ionov	NOUN
fis-1451	216	5	,	,	PUNCT
fis-1451	216	6	v.	v.	ADP
fis-1451	216	7	n.	n.	PROPN
fis-1451	216	8	,	,	PUNCT
fis-1451	216	9	selivanov	selivanov	PROPN
fis-1451	216	10	,	,	PUNCT
fis-1451	216	11	v.	v.	ADP
fis-1451	216	12	v.	v.	ADP
fis-1451	216	13	,	,	PUNCT
fis-1451	216	14	fracture	fracture	NOUN
fis-1451	216	15	dynamics	dynamic	NOUN
fis-1451	216	16	of	of	ADP
fis-1451	216	17	deformed	deform	VERB
fis-1451	216	18	solid	solid	ADJ
fis-1451	216	19	body	body	NOUN
fis-1451	216	20	,	,	PUNCT
fis-1451	216	21	moscow	moscow	PROPN
fis-1451	216	22	,	,	PUNCT
fis-1451	216	23	mashinostroeniye	mashinostroeniye	PROPN
fis-1451	216	24	,	,	PUNCT
fis-1451	216	25	(	(	PUNCT
fis-1451	216	26	1987	1987	NUM
fis-1451	216	27	)	)	PUNCT
fis-1451	216	28	.	.	PUNCT
fis-1451	217	1	[	[	X
fis-1451	217	2	14	14	NUM
fis-1451	217	3	]	]	X
fis-1451	217	4	parton	parton	PROPN
fis-1451	217	5	,	,	PUNCT
fis-1451	217	6	v.	v.	PROPN
fis-1451	217	7	z.	z.	PROPN
fis-1451	217	8	,	,	PUNCT
fis-1451	217	9	boriskovsky	boriskovsky	PROPN
fis-1451	217	10	,	,	PUNCT
fis-1451	217	11	v.	v.	PROPN
fis-1451	217	12	g.	g.	PROPN
fis-1451	217	13	,	,	PUNCT
fis-1451	217	14	brittle	brittle	ADJ
fis-1451	217	15	fracture	fracture	NOUN
fis-1451	217	16	dynamics	dynamic	NOUN
fis-1451	217	17	,	,	PUNCT
fis-1451	217	18	moscow	moscow	PROPN
fis-1451	217	19	,	,	PUNCT
fis-1451	217	20	metallurgia	metallurgia	ADJ
fis-1451	217	21	,	,	PUNCT
fis-1451	217	22	(	(	PUNCT
fis-1451	217	23	1988	1988	NUM
fis-1451	217	24	)	)	PUNCT
fis-1451	217	25	.	.	PUNCT
fis-1451	218	1	[	[	X
fis-1451	218	2	15	15	NUM
fis-1451	218	3	]	]	X
fis-1451	218	4	forman	forman	NOUN
fis-1451	218	5	,	,	PUNCT
fis-1451	218	6	r.	r.	PROPN
fis-1451	218	7	g.	g.	PROPN
fis-1451	218	8	et	et	PROPN
fis-1451	218	9	al	al	PROPN
fis-1451	218	10	.	.	PROPN
fis-1451	218	11	,	,	PUNCT
fis-1451	218	12	vulnerability	vulnerability	NOUN
fis-1451	218	13	of	of	ADP
fis-1451	218	14	aircraft	aircraft	NOUN
fis-1451	218	15	structures	structure	NOUN
fis-1451	218	16	exposed	expose	VERB
fis-1451	218	17	to	to	ADP
fis-1451	218	18	small	small	ADJ
fis-1451	218	19	arms	arm	NOUN
fis-1451	218	20	fire	fire	NOUN
fis-1451	218	21	projectile	projectile	NOUN
fis-1451	218	22	impact	impact	NOUN
fis-1451	218	23	damage	damage	NOUN
fis-1451	218	24	,	,	PUNCT
fis-1451	218	25	affdl	affdl	X
fis-1451	218	26	-	-	PUNCT
fis-1451	218	27	tr-67	tr-67	NUM
fis-1451	218	28	-	-	PUNCT
fis-1451	218	29	157	157	NUM
fis-1451	218	30	,	,	PUNCT
fis-1451	218	31	(	(	PUNCT
fis-1451	218	32	1967	1967	NUM
fis-1451	218	33	)	)	PUNCT
fis-1451	218	34	.	.	PUNCT