id	sid	tid	token	lemma	pos
fis-4859	1	1	shot	shoot	VERB
fis-4859	1	2	peening	peene	VERB
fis-4859	1	3	processes	process	NOUN
fis-4859	1	4	to	to	PART
fis-4859	1	5	obtain	obtain	VERB
fis-4859	1	6	nanocrystalline	nanocrystalline	ADJ
fis-4859	1	7	surfaces	surface	NOUN
fis-4859	1	8	in	in	ADP
fis-4859	1	9	metal	metal	NOUN
fis-4859	1	10	alloys	alloy	NOUN
fis-4859	1	11	:	:	PUNCT
fis-4859	1	12	s.	s.	PROPN
fis-4859	1	13	cao	cao	PROPN
fis-4859	1	14	et	et	PROPN
fis-4859	1	15	alii	alii	PROPN
fis-4859	1	16	,	,	PUNCT
fis-4859	1	17	frattura	frattura	PROPN
fis-4859	1	18	ed	ed	PROPN
fis-4859	1	19	integrità	integrità	PROPN
fis-4859	1	20	strutturale	strutturale	PROPN
fis-4859	1	21	,	,	PUNCT
fis-4859	1	22	69	69	NUM
fis-4859	1	23	(	(	PUNCT
fis-4859	1	24	2024	2024	NUM
fis-4859	1	25	)	)	PUNCT
fis-4859	1	26	1	1	NUM
fis-4859	1	27	-	-	SYM
fis-4859	1	28	17	17	NUM
fis-4859	1	29	;	;	PUNCT
fis-4859	1	30	doi	doi	NOUN
fis-4859	1	31	:	:	PUNCT
fis-4859	1	32	10.3221	10.3221	NUM
fis-4859	1	33	/	/	SYM
fis-4859	1	34	igf	igf	NOUN
fis-4859	1	35	-	-	PUNCT
fis-4859	1	36	esis.69.01	esis.69.01	PROPN
fis-4859	1	37	1	1	NUM
fis-4859	1	38	about	about	ADP
fis-4859	1	39	measuring	measure	VERB
fis-4859	1	40	the	the	DET
fis-4859	1	41	stress	stress	NOUN
fis-4859	1	42	intensity	intensity	NOUN
fis-4859	1	43	factor	factor	NOUN
fis-4859	1	44	of	of	ADP
fis-4859	1	45	cracks	crack	NOUN
fis-4859	1	46	in	in	ADP
fis-4859	1	47	curved	curve	VERB
fis-4859	1	48	,	,	PUNCT
fis-4859	1	49	brittle	brittle	ADJ
fis-4859	1	50	shells	shell	NOUN
fis-4859	1	51	siwen	siwen	VERB
fis-4859	1	52	cao	cao	PROPN
fis-4859	1	53	department	department	PROPN
fis-4859	1	54	of	of	ADP
fis-4859	1	55	mechanics	mechanic	NOUN
fis-4859	1	56	,	,	PUNCT
fis-4859	1	57	materials	material	NOUN
fis-4859	1	58	and	and	CCONJ
fis-4859	1	59	structures	structure	NOUN
fis-4859	1	60	,	,	PUNCT
fis-4859	1	61	budapest	budapest	PROPN
fis-4859	1	62	university	university	PROPN
fis-4859	1	63	of	of	ADP
fis-4859	1	64	technology	technology	NOUN
fis-4859	1	65	and	and	CCONJ
fis-4859	1	66	economics	economic	NOUN
fis-4859	1	67	,	,	PUNCT
fis-4859	1	68	budapest	budapest	PROPN
fis-4859	1	69	,	,	PUNCT
fis-4859	1	70	hungary	hungary	PROPN
fis-4859	1	71	cao.siwen@edu.bme.hu	cao.siwen@edu.bme.hu	PROPN
fis-4859	1	72	,	,	PUNCT
fis-4859	1	73	https://orcid.org/0009-0000-5323-2612	https://orcid.org/0009-0000-5323-2612	NOUN
fis-4859	1	74	andrás	andrás	PROPN
fis-4859	1	75	a.	a.	NOUN
fis-4859	1	76	sipos	sipos	PROPN
fis-4859	1	77	*	*	PUNCT
fis-4859	1	78	department	department	PROPN
fis-4859	1	79	of	of	ADP
fis-4859	1	80	morphology	morphology	NOUN
fis-4859	1	81	and	and	CCONJ
fis-4859	1	82	geometric	geometric	ADJ
fis-4859	1	83	modeling	modeling	NOUN
fis-4859	1	84	,	,	PUNCT
fis-4859	1	85	budapest	budapest	PROPN
fis-4859	1	86	university	university	PROPN
fis-4859	1	87	of	of	ADP
fis-4859	1	88	technology	technology	NOUN
fis-4859	1	89	and	and	CCONJ
fis-4859	1	90	economics	economic	NOUN
fis-4859	1	91	,	,	PUNCT
fis-4859	1	92	budapest	budapest	NOUN
fis-4859	1	93	,	,	PUNCT
fis-4859	1	94	hungary	hungary	PROPN
fis-4859	1	95	hun	hun	PROPN
fis-4859	1	96	-	-	PUNCT
fis-4859	1	97	ren	ren	PROPN
fis-4859	1	98	-	-	PUNCT
fis-4859	1	99	bme	bme	NOUN
fis-4859	1	100	morphodynamics	morphodynamics	PROPN
fis-4859	1	101	research	research	PROPN
fis-4859	1	102	group	group	NOUN
fis-4859	1	103	,	,	PUNCT
fis-4859	1	104	budapest	budapest	PROPN
fis-4859	1	105	,	,	PUNCT
fis-4859	1	106	hungary	hungary	PROPN
fis-4859	1	107	siposa@eik.bme.hu	siposa@eik.bme.hu	PROPN
fis-4859	1	108	,	,	PUNCT
fis-4859	1	109	http://orcid.org/0000-0003-0440-2165	http://orcid.org/0000-0003-0440-2165	PROPN
fis-4859	1	110	keywords	keyword	NOUN
fis-4859	1	111	.	.	PUNCT
fis-4859	2	1	curved	curved	ADJ
fis-4859	2	2	shell	shell	NOUN
fis-4859	2	3	,	,	PUNCT
fis-4859	2	4	stress	stress	NOUN
fis-4859	2	5	intensity	intensity	NOUN
fis-4859	2	6	factor	factor	NOUN
fis-4859	2	7	,	,	PUNCT
fis-4859	2	8	digital	digital	ADJ
fis-4859	2	9	image	image	NOUN
fis-4859	2	10	correlation	correlation	NOUN
fis-4859	2	11	method	method	NOUN
fis-4859	2	12	,	,	PUNCT
fis-4859	2	13	williams	williams	PROPN
fis-4859	2	14	expansion	expansion	PROPN
fis-4859	2	15	,	,	PUNCT
fis-4859	2	16	non	non	ADJ
fis-4859	2	17	-	-	ADJ
fis-4859	2	18	developable	developable	ADJ
fis-4859	2	19	surface	surface	NOUN
fis-4859	2	20	citation	citation	NOUN
fis-4859	2	21	:	:	PUNCT
fis-4859	2	22	cao	cao	PROPN
fis-4859	2	23	,	,	PUNCT
fis-4859	2	24	s.	s.	PROPN
fis-4859	2	25	,	,	PUNCT
fis-4859	2	26	sipos	sipos	PROPN
fis-4859	2	27	,	,	PUNCT
fis-4859	2	28	a.a	a.a	PROPN
fis-4859	2	29	.	.	PROPN
fis-4859	2	30	,	,	PUNCT
fis-4859	2	31	about	about	ADP
fis-4859	2	32	measuring	measure	VERB
fis-4859	2	33	the	the	DET
fis-4859	2	34	stress	stress	NOUN
fis-4859	2	35	intensity	intensity	NOUN
fis-4859	2	36	factor	factor	NOUN
fis-4859	2	37	of	of	ADP
fis-4859	2	38	cracks	crack	NOUN
fis-4859	2	39	in	in	ADP
fis-4859	2	40	curved	curve	VERB
fis-4859	2	41	,	,	PUNCT
fis-4859	2	42	brittle	brittle	ADJ
fis-4859	2	43	shells	shell	NOUN
fis-4859	2	44	,	,	PUNCT
fis-4859	2	45	frattura	frattura	PROPN
fis-4859	2	46	ed	ed	PROPN
fis-4859	2	47	integrità	integrità	PROPN
fis-4859	2	48	strutturale	strutturale	PROPN
fis-4859	2	49	,	,	PUNCT
fis-4859	2	50	69	69	NUM
fis-4859	2	51	(	(	PUNCT
fis-4859	2	52	2024	2024	NUM
fis-4859	2	53	)	)	PUNCT
fis-4859	2	54	1	1	NUM
fis-4859	2	55	-	-	SYM
fis-4859	2	56	17	17	NUM
fis-4859	2	57	.	.	PUNCT
fis-4859	2	58	received	receive	VERB
fis-4859	2	59	:	:	PUNCT
fis-4859	2	60	19.02.2024	19.02.2024	NUM
fis-4859	2	61	accepted	accept	VERB
fis-4859	2	62	:	:	PUNCT
fis-4859	2	63	05.04.2024	05.04.2024	NUM
fis-4859	2	64	published	publish	VERB
fis-4859	2	65	:	:	PUNCT
fis-4859	2	66	13.04.2024	13.04.2024	NUM
fis-4859	2	67	issue	issue	NOUN
fis-4859	2	68	:	:	PUNCT
fis-4859	2	69	07.2024	07.2024	NUM
fis-4859	2	70	copyright	copyright	NOUN
fis-4859	2	71	:	:	PUNCT
fis-4859	2	72	©	©	PROPN
fis-4859	2	73	2024	2024	NUM
fis-4859	2	74	this	this	PRON
fis-4859	2	75	is	be	AUX
fis-4859	2	76	an	an	DET
fis-4859	2	77	open	open	ADJ
fis-4859	2	78	access	access	NOUN
fis-4859	2	79	article	article	NOUN
fis-4859	2	80	under	under	ADP
fis-4859	2	81	the	the	DET
fis-4859	2	82	terms	term	NOUN
fis-4859	2	83	of	of	ADP
fis-4859	2	84	the	the	DET
fis-4859	2	85	cc	cc	NOUN
fis-4859	2	86	-	-	PUNCT
fis-4859	2	87	by	by	ADP
fis-4859	2	88	4.0	4.0	NUM
fis-4859	2	89	,	,	PUNCT
fis-4859	2	90	which	which	PRON
fis-4859	2	91	permits	permit	VERB
fis-4859	2	92	unrestricted	unrestricted	ADJ
fis-4859	2	93	use	use	NOUN
fis-4859	2	94	,	,	PUNCT
fis-4859	2	95	distribution	distribution	NOUN
fis-4859	2	96	,	,	PUNCT
fis-4859	2	97	and	and	CCONJ
fis-4859	2	98	reproduction	reproduction	NOUN
fis-4859	2	99	in	in	ADP
fis-4859	2	100	any	any	DET
fis-4859	2	101	medium	medium	NOUN
fis-4859	2	102	,	,	PUNCT
fis-4859	2	103	provided	provide	VERB
fis-4859	2	104	the	the	DET
fis-4859	2	105	original	original	ADJ
fis-4859	2	106	author	author	NOUN
fis-4859	2	107	and	and	CCONJ
fis-4859	2	108	source	source	NOUN
fis-4859	2	109	are	be	AUX
fis-4859	2	110	credited	credit	VERB
fis-4859	2	111	.	.	PUNCT
fis-4859	3	1	introduction	introduction	NOUN
fis-4859	3	2	racture	racture	NOUN
fis-4859	3	3	of	of	ADP
fis-4859	3	4	thin	thin	ADJ
fis-4859	3	5	curved	curved	ADJ
fis-4859	3	6	shells	shell	NOUN
fis-4859	3	7	has	have	VERB
fis-4859	3	8	severe	severe	ADJ
fis-4859	3	9	consequences	consequence	NOUN
fis-4859	3	10	in	in	ADP
fis-4859	3	11	the	the	DET
fis-4859	3	12	broad	broad	ADJ
fis-4859	3	13	field	field	NOUN
fis-4859	3	14	of	of	ADP
fis-4859	3	15	engineering	engineering	NOUN
fis-4859	3	16	.	.	PUNCT
fis-4859	4	1	from	from	ADP
fis-4859	4	2	pipelines	pipeline	NOUN
fis-4859	4	3	and	and	CCONJ
fis-4859	4	4	pressure	pressure	NOUN
fis-4859	4	5	vessels	vessel	NOUN
fis-4859	4	6	[	[	X
fis-4859	4	7	1	1	NUM
fis-4859	4	8	-	-	SYM
fis-4859	4	9	5	5	NUM
fis-4859	4	10	]	]	PUNCT
fis-4859	4	11	,	,	PUNCT
fis-4859	4	12	to	to	PART
fis-4859	4	13	masonry	masonry	VERB
fis-4859	4	14	vaults	vault	NOUN
fis-4859	4	15	and	and	CCONJ
fis-4859	4	16	concrete	concrete	ADJ
fis-4859	4	17	shells	shell	NOUN
fis-4859	4	18	[	[	X
fis-4859	4	19	6	6	NUM
fis-4859	4	20	-	-	SYM
fis-4859	4	21	8	8	NUM
fis-4859	4	22	]	]	PUNCT
fis-4859	4	23	,	,	PUNCT
fis-4859	4	24	the	the	DET
fis-4859	4	25	dominant	dominant	ADJ
fis-4859	4	26	membrane	membrane	NOUN
fis-4859	4	27	behavior	behavior	NOUN
fis-4859	4	28	makes	make	VERB
fis-4859	4	29	curved	curved	ADJ
fis-4859	4	30	shells	shell	NOUN
fis-4859	4	31	an	an	DET
fis-4859	4	32	efficient	efficient	ADJ
fis-4859	4	33	structure	structure	NOUN
fis-4859	4	34	in	in	ADP
fis-4859	4	35	countless	countless	ADJ
fis-4859	4	36	applications	application	NOUN
fis-4859	4	37	.	.	PUNCT
fis-4859	5	1	since	since	SCONJ
fis-4859	5	2	the	the	DET
fis-4859	5	3	membrane	membrane	NOUN
fis-4859	5	4	behavior	behavior	NOUN
fis-4859	5	5	dominantly	dominantly	ADV
fis-4859	5	6	balances	balance	VERB
fis-4859	5	7	the	the	DET
fis-4859	5	8	external	external	ADJ
fis-4859	5	9	actions	action	NOUN
fis-4859	5	10	,	,	PUNCT
fis-4859	5	11	the	the	DET
fis-4859	5	12	thickness	thickness	NOUN
fis-4859	5	13	of	of	ADP
fis-4859	5	14	curved	curved	ADJ
fis-4859	5	15	shells	shell	NOUN
fis-4859	5	16	tends	tend	VERB
fis-4859	5	17	to	to	PART
fis-4859	5	18	be	be	AUX
fis-4859	5	19	small	small	ADJ
fis-4859	5	20	,	,	PUNCT
fis-4859	5	21	meaning	mean	VERB
fis-4859	5	22	that	that	SCONJ
fis-4859	5	23	in	in	ADP
fis-4859	5	24	case	case	NOUN
fis-4859	5	25	of	of	ADP
fis-4859	5	26	fracture	fracture	NOUN
fis-4859	5	27	,	,	PUNCT
fis-4859	5	28	the	the	DET
fis-4859	5	29	entire	entire	ADJ
fis-4859	5	30	cross	cross	NOUN
fis-4859	5	31	-	-	NOUN
fis-4859	5	32	section	section	NOUN
fis-4859	5	33	becomes	becomes	AUX
fis-4859	5	34	cracked	crack	VERB
fis-4859	5	35	instantaneously	instantaneously	ADV
fis-4859	5	36	[	[	X
fis-4859	5	37	9	9	NUM
fis-4859	5	38	-	-	SYM
fis-4859	5	39	11	11	NUM
fis-4859	5	40	]	]	PUNCT
fis-4859	5	41	.	.	PUNCT
fis-4859	6	1	this	this	DET
fis-4859	6	2	situation	situation	NOUN
fis-4859	6	3	calls	call	VERB
fis-4859	6	4	for	for	ADP
fis-4859	6	5	experimental	experimental	ADJ
fis-4859	6	6	,	,	PUNCT
fis-4859	6	7	analytical	analytical	ADJ
fis-4859	6	8	,	,	PUNCT
fis-4859	6	9	and	and	CCONJ
fis-4859	6	10	numerical	numerical	ADJ
fis-4859	6	11	investigations	investigation	NOUN
fis-4859	6	12	of	of	ADP
fis-4859	6	13	crack	crack	VERB
fis-4859	6	14	propagation	propagation	NOUN
fis-4859	6	15	;	;	PUNCT
fis-4859	6	16	however	however	ADV
fis-4859	6	17	,	,	PUNCT
fis-4859	6	18	most	most	ADJ
fis-4859	6	19	of	of	ADP
fis-4859	6	20	the	the	DET
fis-4859	6	21	results	result	NOUN
fis-4859	6	22	of	of	ADP
fis-4859	6	23	classical	classical	ADJ
fis-4859	6	24	fracture	fracture	NOUN
fis-4859	6	25	mechanics	mechanic	NOUN
fis-4859	6	26	tackle	tackle	VERB
fis-4859	6	27	planar	planar	ADJ
fis-4859	6	28	media	medium	NOUN
fis-4859	6	29	.	.	PUNCT
fis-4859	7	1	specifically	specifically	ADV
fis-4859	7	2	,	,	PUNCT
fis-4859	7	3	in	in	ADP
fis-4859	7	4	the	the	DET
fis-4859	7	5	realm	realm	NOUN
fis-4859	7	6	of	of	ADP
fis-4859	7	7	linear	linear	PROPN
fis-4859	7	8	elasticity	elasticity	NOUN
fis-4859	7	9	,	,	PUNCT
fis-4859	7	10	the	the	DET
fis-4859	7	11	stress	stress	NOUN
fis-4859	7	12	intensity	intensity	NOUN
fis-4859	7	13	factor	factor	NOUN
fis-4859	7	14	(	(	PUNCT
fis-4859	7	15	sif	sif	PROPN
fis-4859	7	16	)	)	PUNCT
fis-4859	7	17	is	be	AUX
fis-4859	7	18	used	use	VERB
fis-4859	7	19	to	to	PART
fis-4859	7	20	characterize	characterize	VERB
fis-4859	7	21	the	the	DET
fis-4859	7	22	singular	singular	ADJ
fis-4859	7	23	stress	stress	NOUN
fis-4859	7	24	distribution	distribution	NOUN
fis-4859	7	25	f	f	PROPN
fis-4859	7	26	https://youtu.be/d42nlg_slzg	https://youtu.be/d42nlg_slzg	PROPN
fis-4859	7	27	s.	s.	PROPN
fis-4859	7	28	cao	cao	PROPN
fis-4859	7	29	et	et	PROPN
fis-4859	7	30	alii	alii	PROPN
fis-4859	7	31	,	,	PUNCT
fis-4859	7	32	frattura	frattura	PROPN
fis-4859	7	33	ed	ed	PROPN
fis-4859	7	34	integrità	integrità	PROPN
fis-4859	7	35	strutturale	strutturale	PROPN
fis-4859	7	36	,	,	PUNCT
fis-4859	7	37	69	69	NUM
fis-4859	7	38	(	(	PUNCT
fis-4859	7	39	2024	2024	NUM
fis-4859	7	40	)	)	PUNCT
fis-4859	7	41	1	1	NUM
fis-4859	7	42	-	-	SYM
fis-4859	7	43	17	17	NUM
fis-4859	7	44	;	;	PUNCT
fis-4859	7	45	doi	doi	NOUN
fis-4859	7	46	:	:	PUNCT
fis-4859	7	47	10.3221	10.3221	NUM
fis-4859	7	48	/	/	SYM
fis-4859	7	49	igf	igf	NOUN
fis-4859	7	50	-	-	PUNCT
fis-4859	7	51	esis.69.01	esis.69.01	PROPN
fis-4859	7	52	2	2	NUM
fis-4859	7	53	around	around	ADP
fis-4859	7	54	the	the	DET
fis-4859	7	55	crack	crack	NOUN
fis-4859	7	56	tip	tip	NOUN
fis-4859	7	57	.	.	PUNCT
fis-4859	8	1	keeping	keep	VERB
fis-4859	8	2	the	the	DET
fis-4859	8	3	assumption	assumption	NOUN
fis-4859	8	4	on	on	ADP
fis-4859	8	5	linear	linear	PROPN
fis-4859	8	6	elasticity	elasticity	NOUN
fis-4859	8	7	,	,	PUNCT
fis-4859	8	8	the	the	DET
fis-4859	8	9	sif	sif	NOUN
fis-4859	8	10	can	can	AUX
fis-4859	8	11	be	be	AUX
fis-4859	8	12	relatively	relatively	ADV
fis-4859	8	13	easily	easily	ADV
fis-4859	8	14	obtained	obtain	VERB
fis-4859	8	15	from	from	ADP
fis-4859	8	16	displacement	displacement	ADJ
fis-4859	8	17	measurements	measurement	NOUN
fis-4859	8	18	on	on	ADP
fis-4859	8	19	the	the	DET
fis-4859	8	20	specimen	speciman	NOUN
fis-4859	8	21	undergoing	undergo	VERB
fis-4859	8	22	fracture	fracture	NOUN
fis-4859	8	23	.	.	PUNCT
fis-4859	9	1	the	the	DET
fis-4859	9	2	displacement	displacement	ADJ
fis-4859	9	3	field	field	NOUN
fis-4859	9	4	in	in	ADP
fis-4859	9	5	the	the	DET
fis-4859	9	6	vicinity	vicinity	NOUN
fis-4859	9	7	of	of	ADP
fis-4859	9	8	the	the	DET
fis-4859	9	9	crack	crack	NOUN
fis-4859	9	10	tip	tip	NOUN
fis-4859	9	11	can	can	AUX
fis-4859	9	12	be	be	AUX
fis-4859	9	13	reliably	reliably	ADV
fis-4859	9	14	recorded	record	VERB
fis-4859	9	15	by	by	ADP
fis-4859	9	16	digital	digital	ADJ
fis-4859	9	17	image	image	NOUN
fis-4859	9	18	correlation	correlation	NOUN
fis-4859	9	19	(	(	PUNCT
fis-4859	9	20	dic	dic	ADJ
fis-4859	9	21	)	)	PUNCT
fis-4859	9	22	techniques	technique	NOUN
fis-4859	9	23	[	[	X
fis-4859	9	24	12	12	NUM
fis-4859	9	25	-	-	SYM
fis-4859	9	26	14	14	NUM
fis-4859	9	27	]	]	PUNCT
fis-4859	9	28	,	,	PUNCT
fis-4859	9	29	which	which	PRON
fis-4859	9	30	,	,	PUNCT
fis-4859	9	31	due	due	ADP
fis-4859	9	32	to	to	ADP
fis-4859	9	33	its	its	PRON
fis-4859	9	34	simple	simple	ADJ
fis-4859	9	35	setting	setting	NOUN
fis-4859	9	36	,	,	PUNCT
fis-4859	9	37	seems	seem	VERB
fis-4859	9	38	to	to	PART
fis-4859	9	39	be	be	AUX
fis-4859	9	40	gradually	gradually	ADV
fis-4859	9	41	eradicating	eradicate	VERB
fis-4859	9	42	traditional	traditional	ADJ
fis-4859	9	43	measurement	measurement	NOUN
fis-4859	9	44	techniques	technique	NOUN
fis-4859	9	45	,	,	PUNCT
fis-4859	9	46	such	such	ADJ
fis-4859	9	47	as	as	ADP
fis-4859	9	48	the	the	DET
fis-4859	9	49	strain	strain	NOUN
fis-4859	9	50	gage	gage	NOUN
fis-4859	9	51	method	method	NOUN
fis-4859	9	52	[	[	X
fis-4859	9	53	15	15	NUM
fis-4859	9	54	]	]	PUNCT
fis-4859	9	55	or	or	CCONJ
fis-4859	9	56	the	the	DET
fis-4859	9	57	photomechanical	photomechanical	ADJ
fis-4859	9	58	methods	method	NOUN
fis-4859	9	59	[	[	X
fis-4859	9	60	1622	1622	NUM
fis-4859	9	61	]	]	PUNCT
fis-4859	9	62	,	,	PUNCT
fis-4859	9	63	regardless	regardless	ADV
fis-4859	9	64	a	a	DET
fis-4859	9	65	quasi	quasi	NOUN
fis-4859	9	66	-	-	ADJ
fis-4859	9	67	static	static	ADJ
fis-4859	9	68	or	or	CCONJ
fis-4859	9	69	a	a	DET
fis-4859	9	70	dynamic	dynamic	ADJ
fis-4859	9	71	problem	problem	NOUN
fis-4859	9	72	is	be	AUX
fis-4859	9	73	studied	study	VERB
fis-4859	9	74	.	.	PUNCT
fis-4859	10	1	here	here	ADV
fis-4859	10	2	,	,	PUNCT
fis-4859	10	3	we	we	PRON
fis-4859	10	4	focus	focus	VERB
fis-4859	10	5	on	on	ADP
fis-4859	10	6	cracks	crack	NOUN
fis-4859	10	7	emerging	emerge	VERB
fis-4859	10	8	under	under	ADP
fis-4859	10	9	quasi	quasi	ADJ
fis-4859	10	10	-	-	ADJ
fis-4859	10	11	static	static	ADJ
fis-4859	10	12	action	action	NOUN
fis-4859	10	13	.	.	PUNCT
fis-4859	11	1	nonetheless	nonetheless	ADV
fis-4859	11	2	,	,	PUNCT
fis-4859	11	3	mechanical	mechanical	ADJ
fis-4859	11	4	assumptions	assumption	NOUN
fis-4859	11	5	are	be	AUX
fis-4859	11	6	needed	need	VERB
fis-4859	11	7	to	to	PART
fis-4859	11	8	approximate	approximate	VERB
fis-4859	11	9	the	the	DET
fis-4859	11	10	sif	sif	NOUN
fis-4859	11	11	from	from	ADP
fis-4859	11	12	the	the	DET
fis-4859	11	13	recorded	record	VERB
fis-4859	11	14	displacement	displacement	NOUN
fis-4859	11	15	data	datum	NOUN
fis-4859	11	16	.	.	PUNCT
fis-4859	12	1	the	the	DET
fis-4859	12	2	sif	sif	NOUN
fis-4859	12	3	associated	associate	VERB
fis-4859	12	4	with	with	ADP
fis-4859	12	5	cracking	cracking	NOUN
fis-4859	12	6	modes	mode	NOUN
fis-4859	12	7	i	i	PRON
fis-4859	12	8	and	and	CCONJ
fis-4859	12	9	ii	ii	PROPN
fis-4859	12	10	is	be	AUX
fis-4859	12	11	traditionally	traditionally	ADV
fis-4859	12	12	derived	derive	VERB
fis-4859	12	13	by	by	ADP
fis-4859	12	14	the	the	DET
fis-4859	12	15	plane	plane	NOUN
fis-4859	12	16	stress	stress	NOUN
fis-4859	12	17	assumption	assumption	NOUN
fis-4859	12	18	.	.	PUNCT
fis-4859	13	1	beyond	beyond	ADP
fis-4859	13	2	techniques	technique	NOUN
fis-4859	13	3	based	base	VERB
fis-4859	13	4	on	on	ADP
fis-4859	13	5	the	the	DET
fis-4859	13	6	j	j	NOUN
fis-4859	13	7	-	-	ADJ
fis-4859	13	8	integral	integral	ADJ
fis-4859	13	9	[	[	X
fis-4859	13	10	23	23	NUM
fis-4859	13	11	-	-	SYM
fis-4859	13	12	25	25	NUM
fis-4859	13	13	]	]	PUNCT
fis-4859	13	14	,	,	PUNCT
fis-4859	13	15	the	the	DET
fis-4859	13	16	application	application	NOUN
fis-4859	13	17	of	of	ADP
fis-4859	13	18	the	the	DET
fis-4859	13	19	willams	willams	PROPN
fis-4859	13	20	expansion	expansion	NOUN
fis-4859	13	21	[	[	X
fis-4859	13	22	26	26	NUM
fis-4859	13	23	]	]	PUNCT
fis-4859	13	24	is	be	AUX
fis-4859	13	25	widely	widely	ADV
fis-4859	13	26	adopted	adopt	VERB
fis-4859	13	27	.	.	PUNCT
fis-4859	14	1	on	on	ADP
fis-4859	14	2	the	the	DET
fis-4859	14	3	one	one	NUM
fis-4859	14	4	hand	hand	NOUN
fis-4859	14	5	,	,	PUNCT
fis-4859	14	6	it	it	PRON
fis-4859	14	7	is	be	AUX
fis-4859	14	8	consistent	consistent	ADJ
fis-4859	14	9	with	with	ADP
fis-4859	14	10	linear	linear	ADJ
fis-4859	14	11	fracture	fracture	NOUN
fis-4859	14	12	mechanics	mechanic	NOUN
fis-4859	14	13	;	;	PUNCT
fis-4859	14	14	on	on	ADP
fis-4859	14	15	the	the	DET
fis-4859	14	16	other	other	ADJ
fis-4859	14	17	hand	hand	NOUN
fis-4859	14	18	,	,	PUNCT
fis-4859	14	19	it	it	PRON
fis-4859	14	20	operates	operate	VERB
fis-4859	14	21	directly	directly	ADV
fis-4859	14	22	on	on	ADP
fis-4859	14	23	the	the	DET
fis-4859	14	24	displacement	displacement	ADJ
fis-4859	14	25	field	field	NOUN
fis-4859	14	26	recorded	record	VERB
fis-4859	14	27	in	in	ADP
fis-4859	14	28	the	the	DET
fis-4859	14	29	vicinity	vicinity	NOUN
fis-4859	14	30	of	of	ADP
fis-4859	14	31	the	the	DET
fis-4859	14	32	crack	crack	NOUN
fis-4859	14	33	tip	tip	NOUN
fis-4859	14	34	.	.	PUNCT
fis-4859	15	1	the	the	DET
fis-4859	15	2	truncated	truncated	PROPN
fis-4859	15	3	williams	williams	PROPN
fis-4859	15	4	series	series	PROPN
fis-4859	15	5	fitted	fit	VERB
fis-4859	15	6	to	to	ADP
fis-4859	15	7	the	the	DET
fis-4859	15	8	displacements	displacement	NOUN
fis-4859	15	9	delivers	deliver	VERB
fis-4859	15	10	the	the	DET
fis-4859	15	11	sif	sif	NOUN
fis-4859	15	12	as	as	ADP
fis-4859	15	13	the	the	DET
fis-4859	15	14	first	first	ADJ
fis-4859	15	15	-	-	PUNCT
fis-4859	15	16	order	order	NOUN
fis-4859	15	17	coefficient	coefficient	NOUN
fis-4859	15	18	in	in	ADP
fis-4859	15	19	the	the	DET
fis-4859	15	20	expansion	expansion	NOUN
fis-4859	15	21	.	.	PUNCT
fis-4859	16	1	the	the	DET
fis-4859	16	2	higher	high	ADJ
fis-4859	16	3	-	-	PUNCT
fis-4859	16	4	order	order	NOUN
fis-4859	16	5	terms	term	NOUN
fis-4859	16	6	in	in	ADP
fis-4859	16	7	the	the	DET
fis-4859	16	8	expansion	expansion	NOUN
fis-4859	16	9	might	might	AUX
fis-4859	16	10	be	be	AUX
fis-4859	16	11	associated	associate	VERB
fis-4859	16	12	with	with	ADP
fis-4859	16	13	non	non	NOUN
fis-4859	16	14	-	-	NOUN
fis-4859	16	15	linearities	linearity	NOUN
fis-4859	16	16	[	[	PUNCT
fis-4859	16	17	27	27	NUM
fis-4859	16	18	-	-	SYM
fis-4859	16	19	29	29	NUM
fis-4859	16	20	]	]	PUNCT
fis-4859	16	21	,	,	PUNCT
fis-4859	16	22	but	but	CCONJ
fis-4859	16	23	in	in	ADP
fis-4859	16	24	an	an	DET
fis-4859	16	25	experiment	experiment	NOUN
fis-4859	16	26	,	,	PUNCT
fis-4859	16	27	they	they	PRON
fis-4859	16	28	also	also	ADV
fis-4859	16	29	reflect	reflect	VERB
fis-4859	16	30	the	the	DET
fis-4859	16	31	noise	noise	NOUN
fis-4859	16	32	of	of	ADP
fis-4859	16	33	the	the	DET
fis-4859	16	34	testing	testing	NOUN
fis-4859	16	35	procedure	procedure	NOUN
fis-4859	16	36	.	.	PUNCT
fis-4859	17	1	depending	depend	VERB
fis-4859	17	2	on	on	ADP
fis-4859	17	3	the	the	DET
fis-4859	17	4	number	number	NOUN
fis-4859	17	5	of	of	ADP
fis-4859	17	6	terms	term	NOUN
fis-4859	17	7	in	in	ADP
fis-4859	17	8	the	the	DET
fis-4859	17	9	truncated	truncate	VERB
fis-4859	17	10	williams	williams	PROPN
fis-4859	17	11	expansion	expansion	NOUN
fis-4859	17	12	and	and	CCONJ
fis-4859	17	13	the	the	DET
fis-4859	17	14	number	number	NOUN
fis-4859	17	15	of	of	ADP
fis-4859	17	16	data	datum	NOUN
fis-4859	17	17	acquisition	acquisition	NOUN
fis-4859	17	18	points	point	NOUN
fis-4859	17	19	,	,	PUNCT
fis-4859	17	20	the	the	DET
fis-4859	17	21	method	method	NOUN
fis-4859	17	22	leads	lead	VERB
fis-4859	17	23	to	to	ADP
fis-4859	17	24	an	an	DET
fis-4859	17	25	overdetermined	overdetermine	VERB
fis-4859	17	26	system	system	NOUN
fis-4859	17	27	of	of	ADP
fis-4859	17	28	linear	linear	PROPN
fis-4859	17	29	equations	equation	NOUN
fis-4859	17	30	,	,	PUNCT
fis-4859	17	31	where	where	SCONJ
fis-4859	17	32	the	the	DET
fis-4859	17	33	best	good	ADJ
fis-4859	17	34	-	-	PUNCT
fis-4859	17	35	fit	fit	ADJ
fis-4859	17	36	solution	solution	NOUN
fis-4859	17	37	is	be	AUX
fis-4859	17	38	sought	seek	VERB
fis-4859	17	39	.	.	PUNCT
fis-4859	18	1	beyond	beyond	ADP
fis-4859	18	2	classical	classical	ADJ
fis-4859	18	3	least	least	ADJ
fis-4859	18	4	-	-	PUNCT
fis-4859	18	5	square	square	NOUN
fis-4859	18	6	techniques	technique	NOUN
fis-4859	18	7	[	[	X
fis-4859	18	8	30,31	30,31	NUM
fis-4859	18	9	]	]	PUNCT
fis-4859	18	10	,	,	PUNCT
fis-4859	18	11	there	there	PRON
fis-4859	18	12	are	be	VERB
fis-4859	18	13	approaches	approach	NOUN
fis-4859	18	14	matched	match	VERB
fis-4859	18	15	to	to	ADP
fis-4859	18	16	the	the	DET
fis-4859	18	17	finite	finite	ADJ
fis-4859	18	18	element	element	NOUN
fis-4859	18	19	method	method	NOUN
fis-4859	18	20	(	(	PUNCT
fis-4859	18	21	dic	dic	ADJ
fis-4859	18	22	-	-	PUNCT
fis-4859	18	23	fem)[32	fem)[32	NOUN
fis-4859	18	24	]	]	PUNCT
fis-4859	18	25	and	and	CCONJ
fis-4859	18	26	the	the	DET
fis-4859	18	27	extended	extended	ADJ
fis-4859	18	28	finite	finite	ADJ
fis-4859	18	29	element	element	NOUN
fis-4859	18	30	method	method	NOUN
fis-4859	18	31	(	(	PUNCT
fis-4859	18	32	hax	hax	NOUN
fis-4859	18	33	-	-	PUNCT
fis-4859	18	34	fem)[33	fem)[33	NOUN
fis-4859	18	35	]	]	X
fis-4859	18	36	.	.	PUNCT
fis-4859	19	1	in	in	ADP
fis-4859	19	2	the	the	DET
fis-4859	19	3	case	case	NOUN
fis-4859	19	4	of	of	ADP
fis-4859	19	5	curved	curved	ADJ
fis-4859	19	6	surfaces	surface	NOUN
fis-4859	19	7	,	,	PUNCT
fis-4859	19	8	the	the	DET
fis-4859	19	9	curvature	curvature	NOUN
fis-4859	19	10	has	have	VERB
fis-4859	19	11	a	a	DET
fis-4859	19	12	non	non	ADJ
fis-4859	19	13	-	-	ADJ
fis-4859	19	14	vanishing	vanishing	ADJ
fis-4859	19	15	effect	effect	NOUN
fis-4859	19	16	on	on	ADP
fis-4859	19	17	the	the	DET
fis-4859	19	18	stress	stress	NOUN
fis-4859	19	19	distribution	distribution	NOUN
fis-4859	19	20	,	,	PUNCT
fis-4859	19	21	and	and	CCONJ
fis-4859	19	22	this	this	DET
fis-4859	19	23	contribution	contribution	NOUN
fis-4859	19	24	is	be	AUX
fis-4859	19	25	found	find	VERB
fis-4859	19	26	to	to	PART
fis-4859	19	27	be	be	AUX
fis-4859	19	28	so	so	ADV
fis-4859	19	29	significant	significant	ADJ
fis-4859	19	30	that	that	SCONJ
fis-4859	19	31	methods	method	NOUN
fis-4859	19	32	assuming	assume	VERB
fis-4859	19	33	a	a	DET
fis-4859	19	34	planar	planar	ADJ
fis-4859	19	35	medium	medium	NOUN
fis-4859	19	36	fail	fail	NOUN
fis-4859	19	37	to	to	PART
fis-4859	19	38	recover	recover	VERB
fis-4859	19	39	the	the	DET
fis-4859	19	40	sif	sif	NOUN
fis-4859	19	41	faithfully	faithfully	ADV
fis-4859	20	1	[	[	X
fis-4859	20	2	34,35	34,35	NOUN
fis-4859	20	3	]	]	PUNCT
fis-4859	20	4	.	.	PUNCT
fis-4859	21	1	approaches	approach	NOUN
fis-4859	21	2	to	to	ADP
fis-4859	21	3	developable	developable	ADJ
fis-4859	21	4	surfaces	surface	NOUN
fis-4859	21	5	exist	exist	VERB
fis-4859	21	6	[	[	X
fis-4859	21	7	36	36	NUM
fis-4859	21	8	]	]	PUNCT
fis-4859	21	9	,	,	PUNCT
fis-4859	21	10	but	but	CCONJ
fis-4859	21	11	a	a	DET
fis-4859	21	12	general	general	ADJ
fis-4859	21	13	solution	solution	NOUN
fis-4859	21	14	for	for	ADP
fis-4859	21	15	the	the	DET
fis-4859	21	16	problem	problem	NOUN
fis-4859	21	17	is	be	AUX
fis-4859	21	18	still	still	ADV
fis-4859	21	19	missing	miss	VERB
fis-4859	21	20	.	.	PUNCT
fis-4859	22	1	this	this	DET
fis-4859	22	2	paper	paper	NOUN
fis-4859	22	3	introduces	introduce	VERB
fis-4859	22	4	a	a	DET
fis-4859	22	5	new	new	ADJ
fis-4859	22	6	method	method	NOUN
fis-4859	22	7	to	to	PART
fis-4859	22	8	obtain	obtain	VERB
fis-4859	22	9	the	the	DET
fis-4859	22	10	sif	sif	NOUN
fis-4859	22	11	from	from	ADP
fis-4859	22	12	experimental	experimental	ADJ
fis-4859	22	13	data	datum	NOUN
fis-4859	22	14	of	of	ADP
fis-4859	22	15	cracks	crack	NOUN
fis-4859	22	16	in	in	ADP
fis-4859	22	17	weakly	weakly	ADJ
fis-4859	22	18	curved	curve	VERB
fis-4859	22	19	,	,	PUNCT
fis-4859	22	20	brittle	brittle	ADJ
fis-4859	22	21	shells	shell	NOUN
fis-4859	22	22	with	with	ADP
fis-4859	22	23	a	a	DET
fis-4859	22	24	non	non	ADJ
fis-4859	22	25	-	-	ADJ
fis-4859	22	26	vanishing	vanishing	ADJ
fis-4859	22	27	gaussian	gaussian	ADJ
fis-4859	22	28	curvature	curvature	NOUN
fis-4859	22	29	.	.	PUNCT
fis-4859	23	1	in	in	ADP
fis-4859	23	2	the	the	DET
fis-4859	23	3	case	case	NOUN
fis-4859	23	4	of	of	ADP
fis-4859	23	5	curved	curved	ADJ
fis-4859	23	6	shells	shell	NOUN
fis-4859	23	7	,	,	PUNCT
fis-4859	23	8	the	the	DET
fis-4859	23	9	stress	stress	NOUN
fis-4859	23	10	in	in	ADP
fis-4859	23	11	the	the	DET
fis-4859	23	12	surfaces	surface	NOUN
fis-4859	23	13	depends	depend	VERB
fis-4859	23	14	on	on	ADP
fis-4859	23	15	the	the	DET
fis-4859	23	16	surface	surface	NOUN
fis-4859	23	17	’s	’s	PART
fis-4859	23	18	curvature	curvature	NOUN
fis-4859	23	19	[	[	X
fis-4859	23	20	37	37	NUM
fis-4859	23	21	]	]	PUNCT
fis-4859	23	22	.	.	PUNCT
fis-4859	24	1	for	for	ADP
fis-4859	24	2	shallow	shallow	ADJ
fis-4859	24	3	shells	shell	NOUN
fis-4859	24	4	,	,	PUNCT
fis-4859	24	5	this	this	DET
fis-4859	24	6	contribution	contribution	NOUN
fis-4859	24	7	can	can	AUX
fis-4859	24	8	be	be	AUX
fis-4859	24	9	easily	easily	ADV
fis-4859	24	10	accounted	account	VERB
fis-4859	24	11	for	for	ADP
fis-4859	24	12	;	;	PUNCT
fis-4859	24	13	hence	hence	ADV
fis-4859	24	14	,	,	PUNCT
fis-4859	24	15	the	the	DET
fis-4859	24	16	measured	measured	ADJ
fis-4859	24	17	displacements	displacement	NOUN
fis-4859	24	18	can	can	AUX
fis-4859	24	19	be	be	AUX
fis-4859	24	20	readily	readily	ADV
fis-4859	24	21	transformed	transform	VERB
fis-4859	24	22	to	to	ADP
fis-4859	24	23	an	an	DET
fis-4859	24	24	equivalent	equivalent	ADJ
fis-4859	24	25	planar	planar	ADJ
fis-4859	24	26	medium	medium	NOUN
fis-4859	24	27	under	under	ADP
fis-4859	24	28	plane	plane	NOUN
fis-4859	24	29	stress	stress	NOUN
fis-4859	24	30	.	.	PUNCT
fis-4859	25	1	in	in	ADP
fis-4859	25	2	the	the	DET
fis-4859	25	3	equivalent	equivalent	ADJ
fis-4859	25	4	setting	setting	NOUN
fis-4859	25	5	,	,	PUNCT
fis-4859	25	6	the	the	DET
fis-4859	25	7	application	application	NOUN
fis-4859	25	8	of	of	ADP
fis-4859	25	9	the	the	DET
fis-4859	25	10	williams	williams	PROPN
fis-4859	25	11	expansion	expansion	NOUN
fis-4859	25	12	is	be	AUX
fis-4859	25	13	straightforward	straightforward	ADJ
fis-4859	25	14	.	.	PUNCT
fis-4859	26	1	as	as	ADP
fis-4859	26	2	in	in	ADP
fis-4859	26	3	most	most	ADJ
fis-4859	26	4	engineering	engineering	NOUN
fis-4859	26	5	applications	application	NOUN
fis-4859	26	6	,	,	PUNCT
fis-4859	26	7	the	the	DET
fis-4859	26	8	investigated	investigate	VERB
fis-4859	26	9	surfaces	surface	NOUN
fis-4859	26	10	are	be	AUX
fis-4859	26	11	weakly	weakly	ADV
fis-4859	26	12	curved	curved	ADJ
fis-4859	26	13	(	(	PUNCT
fis-4859	26	14	i.e.	i.e.	X
fis-4859	26	15	,	,	PUNCT
fis-4859	26	16	their	their	PRON
fis-4859	26	17	curvature	curvature	NOUN
fis-4859	26	18	is	be	AUX
fis-4859	26	19	moderate	moderate	ADJ
fis-4859	26	20	)	)	PUNCT
fis-4859	26	21	,	,	PUNCT
fis-4859	26	22	and	and	CCONJ
fis-4859	26	23	the	the	DET
fis-4859	26	24	cracks	crack	NOUN
fis-4859	26	25	are	be	AUX
fis-4859	26	26	limited	limit	VERB
fis-4859	26	27	in	in	ADP
fis-4859	26	28	length	length	NOUN
fis-4859	26	29	;	;	PUNCT
fis-4859	26	30	we	we	PRON
fis-4859	26	31	argue	argue	VERB
fis-4859	26	32	the	the	DET
fis-4859	26	33	new	new	ADJ
fis-4859	26	34	method	method	NOUN
fis-4859	26	35	is	be	AUX
fis-4859	26	36	sufficient	sufficient	ADJ
fis-4859	26	37	for	for	ADP
fis-4859	26	38	most	most	ADJ
fis-4859	26	39	applications	application	NOUN
fis-4859	26	40	to	to	PART
fis-4859	26	41	predict	predict	VERB
fis-4859	26	42	the	the	DET
fis-4859	26	43	sif	sif	NOUN
fis-4859	26	44	from	from	ADP
fis-4859	26	45	the	the	DET
fis-4859	26	46	measured	measure	VERB
fis-4859	26	47	data	datum	NOUN
fis-4859	26	48	reliably	reliably	ADV
fis-4859	26	49	.	.	PUNCT
fis-4859	27	1	specifically	specifically	ADV
fis-4859	27	2	,	,	PUNCT
fis-4859	27	3	the	the	DET
fis-4859	27	4	sif	sif	NOUN
fis-4859	27	5	is	be	AUX
fis-4859	27	6	obtained	obtain	VERB
fis-4859	27	7	via	via	ADP
fis-4859	27	8	the	the	DET
fis-4859	27	9	first	first	ADJ
fis-4859	27	10	-	-	PUNCT
fis-4859	27	11	order	order	NOUN
fis-4859	27	12	coefficients	coefficient	NOUN
fis-4859	27	13	of	of	ADP
fis-4859	27	14	the	the	DET
fis-4859	27	15	best	well	ADV
fis-4859	27	16	-	-	PUNCT
fis-4859	27	17	fit	fit	ADJ
fis-4859	27	18	williams	williams	PROPN
fis-4859	27	19	expansion	expansion	NOUN
fis-4859	27	20	.	.	PUNCT
fis-4859	28	1	while	while	SCONJ
fis-4859	28	2	verifying	verify	VERB
fis-4859	28	3	the	the	DET
fis-4859	28	4	method	method	NOUN
fis-4859	28	5	’s	’s	PART
fis-4859	28	6	reliability	reliability	NOUN
fis-4859	28	7	in	in	ADP
fis-4859	28	8	experimental	experimental	ADJ
fis-4859	28	9	work	work	NOUN
fis-4859	28	10	,	,	PUNCT
fis-4859	28	11	the	the	DET
fis-4859	28	12	tension	tension	NOUN
fis-4859	28	13	problem	problem	NOUN
fis-4859	28	14	of	of	ADP
fis-4859	28	15	circumferential	circumferential	ADJ
fis-4859	28	16	cracks	crack	NOUN
fis-4859	28	17	in	in	ADP
fis-4859	28	18	cylindrical	cylindrical	ADJ
fis-4859	28	19	shells	shell	NOUN
fis-4859	28	20	has	have	AUX
fis-4859	28	21	been	be	AUX
fis-4859	28	22	repeated	repeat	VERB
fis-4859	28	23	[	[	PUNCT
fis-4859	28	24	38	38	NUM
fis-4859	28	25	]	]	PUNCT
fis-4859	28	26	,	,	PUNCT
fis-4859	28	27	and	and	CCONJ
fis-4859	28	28	the	the	DET
fis-4859	28	29	obtained	obtain	VERB
fis-4859	28	30	test	test	NOUN
fis-4859	28	31	results	result	NOUN
fis-4859	28	32	are	be	AUX
fis-4859	28	33	compared	compare	VERB
fis-4859	28	34	to	to	ADP
fis-4859	28	35	theoretical	theoretical	ADJ
fis-4859	28	36	and	and	CCONJ
fis-4859	28	37	numerical	numerical	ADJ
fis-4859	28	38	predictions	prediction	NOUN
fis-4859	28	39	.	.	PUNCT
fis-4859	29	1	similarly	similarly	ADV
fis-4859	29	2	,	,	PUNCT
fis-4859	29	3	results	result	NOUN
fis-4859	29	4	on	on	ADP
fis-4859	29	5	spherical	spherical	ADJ
fis-4859	29	6	domes	dome	NOUN
fis-4859	29	7	are	be	AUX
fis-4859	29	8	compared	compare	VERB
fis-4859	29	9	against	against	ADP
fis-4859	29	10	theoretical	theoretical	ADJ
fis-4859	29	11	predictions	prediction	NOUN
fis-4859	29	12	in	in	ADP
fis-4859	29	13	the	the	DET
fis-4859	29	14	literature	literature	NOUN
fis-4859	29	15	.	.	PUNCT
fis-4859	30	1	finally	finally	ADV
fis-4859	30	2	,	,	PUNCT
fis-4859	30	3	the	the	DET
fis-4859	30	4	convergence	convergence	NOUN
fis-4859	30	5	properties	property	NOUN
fis-4859	30	6	of	of	ADP
fis-4859	30	7	the	the	DET
fis-4859	30	8	method	method	NOUN
fis-4859	30	9	are	be	AUX
fis-4859	30	10	studied	study	VERB
fis-4859	30	11	.	.	PUNCT
fis-4859	31	1	theoretical	theoretical	ADJ
fis-4859	31	2	considerations	consideration	NOUN
fis-4859	31	3	he	he	PRON
fis-4859	31	4	sif	sif	VERB
fis-4859	31	5	in	in	ADP
fis-4859	31	6	mode	mode	PROPN
fis-4859	31	7	1	1	NUM
fis-4859	31	8	and	and	CCONJ
fis-4859	31	9	2	2	NUM
fis-4859	31	10	cracking	cracking	NOUN
fis-4859	31	11	characterizes	characterize	VERB
fis-4859	31	12	the	the	DET
fis-4859	31	13	stress	stress	NOUN
fis-4859	31	14	singularity	singularity	NOUN
fis-4859	31	15	around	around	ADP
fis-4859	31	16	the	the	DET
fis-4859	31	17	crack	crack	NOUN
fis-4859	31	18	tip	tip	NOUN
fis-4859	31	19	.	.	PUNCT
fis-4859	32	1	this	this	DET
fis-4859	32	2	singularity	singularity	NOUN
fis-4859	32	3	is	be	AUX
fis-4859	32	4	traditionally	traditionally	ADV
fis-4859	32	5	studied	study	VERB
fis-4859	32	6	in	in	ADP
fis-4859	32	7	a	a	DET
fis-4859	32	8	plane	plane	NOUN
fis-4859	32	9	stress	stress	NOUN
fis-4859	32	10	setting	setting	NOUN
fis-4859	32	11	,	,	PUNCT
fis-4859	32	12	i.e.	i.e.	X
fis-4859	32	13	,	,	PUNCT
fis-4859	32	14	for	for	ADP
fis-4859	32	15	a	a	DET
fis-4859	32	16	thin	thin	ADJ
fis-4859	32	17	,	,	PUNCT
fis-4859	32	18	planar	planar	ADJ
fis-4859	32	19	medium	medium	ADJ
fis-4859	32	20	with	with	ADP
fis-4859	32	21	young	young	ADJ
fis-4859	32	22	modulus	modulus	ADJ
fis-4859	32	23	e	e	NOUN
fis-4859	32	24	,	,	PUNCT
fis-4859	32	25	poisson	poisson	NOUN
fis-4859	32	26	ratio	ratio	NOUN
fis-4859	32	27	ν	ν	NOUN
fis-4859	32	28	and	and	CCONJ
fis-4859	32	29	thickness	thickness	NOUN
fis-4859	32	30	h	h	NOUN
fis-4859	32	31	,	,	PUNCT
fis-4859	32	32	the	the	DET
fis-4859	32	33	t	t	PROPN
fis-4859	32	34	stress	stress	NOUN
fis-4859	32	35	tensor	tensor	NOUN
fis-4859	32	36	and	and	CCONJ
fis-4859	32	37	the	the	DET
fis-4859	32	38	e	e	NOUN
fis-4859	32	39	infinitesimal	infinitesimal	ADJ
fis-4859	32	40	strain	strain	NOUN
fis-4859	32	41	tensor	tensor	NOUN
fis-4859	32	42	read	read	NOUN
fis-4859	32	43	:	:	PUNCT
fis-4859	32	44	(	(	PUNCT
fis-4859	32	45	)	)	PUNCT
fis-4859	32	46	(	(	PUNCT
fis-4859	32	47	)	)	SYM
fis-4859	32	48	2	2	NUM
fis-4859	32	49	1	1	NUM
fis-4859	32	50	11	11	NUM
fis-4859	32	51	xx	xx	NUM
fis-4859	33	1	xy	xy	INTJ
fis-4859	33	2	xx	xx	NUM
fis-4859	34	1	yy	yy	INTJ
fis-4859	35	1	xy	xy	INTJ
fis-4859	35	2	xy	xy	INTJ
fis-4859	36	1	yy	yy	INTJ
fis-4859	37	1	xy	xy	INTJ
fis-4859	37	2	xx	xx	NUM
fis-4859	38	1	yy	yy	INTJ
fis-4859	39	1	t	t	PROPN
fis-4859	39	2	t	t	X
fis-4859	39	3	e	e	X
fis-4859	39	4	e	e	X
fis-4859	39	5	eeht	eeht	PROPN
fis-4859	39	6	t	t	PROPN
fis-4859	39	7	t	t	X
fis-4859	39	8	e	e	X
fis-4859	39	9	e	e	X
fis-4859	39	10	e	e	X
fis-4859	39	11	ν	ν	X
fis-4859	39	12	ν	ν	ADP
fis-4859	39	13	ν	ν	X
fis-4859	39	14	νν	νν	NOUN
fis-4859	39	15	+	+	CCONJ
fis-4859	39	16	−	−	NOUN
fis-4859	39	17			ADJ
fis-4859	39	18			NUM
fis-4859	39	19	=	=	SYM
fis-4859	39	20	=	=	SYM
fis-4859	39	21			ADJ
fis-4859	39	22			INTJ
fis-4859	39	23			PROPN
fis-4859	39	24	−	−	PROPN
fis-4859	40	1	+	+	ADJ
fis-4859	40	2	−	−	PROPN
fis-4859	40	3			PROPN
fis-4859	40	4			NOUN
fis-4859	40	5			VERB
fis-4859	40	6	(	(	PUNCT
fis-4859	40	7	1	1	NUM
fis-4859	40	8	)	)	SYM
fis-4859	40	9	2	2	NUM
fis-4859	40	10	1	1	NUM
fis-4859	40	11	2	2	NUM
fis-4859	40	12	2	2	NUM
fis-4859	40	13	xx	xx	NUM
fis-4859	41	1	xy	xy	INTJ
fis-4859	41	2	xy	xy	PROPN
fis-4859	42	1	yy	yy	INTJ
fis-4859	43	1	u	u	PROPN
fis-4859	43	2	u	u	NOUN
fis-4859	43	3	v	v	ADP
fis-4859	43	4	e	e	X
fis-4859	43	5	e	e	NOUN
fis-4859	43	6	x	x	X
fis-4859	43	7	y	y	NOUN
fis-4859	43	8	x	x	PUNCT
fis-4859	43	9	e	e	X
fis-4859	43	10	e	e	X
fis-4859	43	11	e	e	X
fis-4859	43	12	u	u	NOUN
fis-4859	43	13	v	v	ADP
fis-4859	43	14	v	v	NOUN
fis-4859	43	15	y	y	PROPN
fis-4859	43	16	x	x	SYM
fis-4859	43	17	y	y	PROPN
fis-4859	43	18	∂	∂	PROPN
fis-4859	43	19	∂	∂	PROPN
fis-4859	43	20	∂	∂	PROPN
fis-4859	43	21	+	+	PROPN
fis-4859	43	22	∂	∂	PROPN
fis-4859	43	23	∂	∂	PUNCT
fis-4859	43	24	∂	∂	NOUN
fis-4859	43	25			PROPN
fis-4859	43	26			ADJ
fis-4859	43	27	=	=	NOUN
fis-4859	44	1	=	=	ADJ
fis-4859	44	2			ADJ
fis-4859	44	3			PROPN
fis-4859	44	4	∂	∂	NOUN
fis-4859	44	5	∂	∂	NUM
fis-4859	44	6	∂	∂	NOUN
fis-4859	44	7			NOUN
fis-4859	44	8			VERB
fis-4859	44	9	+	+	ADJ
fis-4859	44	10			ADJ
fis-4859	44	11	∂	∂	CCONJ
fis-4859	44	12	∂	∂	NUM
fis-4859	44	13	∂	∂	NOUN
fis-4859	44	14			PROPN
fis-4859	44	15	(	(	PUNCT
fis-4859	44	16	2	2	NUM
fis-4859	44	17	)	)	PUNCT
fis-4859	44	18	where	where	SCONJ
fis-4859	44	19	u(x	u(x	NOUN
fis-4859	44	20	,	,	PUNCT
fis-4859	44	21	y	y	NOUN
fis-4859	44	22	)	)	PUNCT
fis-4859	44	23	and	and	CCONJ
fis-4859	44	24	v(x	v(x	PROPN
fis-4859	44	25	,	,	PUNCT
fis-4859	44	26	y	y	NOUN
fis-4859	44	27	)	)	PUNCT
fis-4859	44	28	are	be	AUX
fis-4859	44	29	the	the	DET
fis-4859	44	30	in	in	ADP
fis-4859	44	31	-	-	PUNCT
fis-4859	44	32	plane	plane	NOUN
fis-4859	44	33	displacement	displacement	NOUN
fis-4859	44	34	components	component	NOUN
fis-4859	44	35	.	.	PUNCT
fis-4859	45	1	following	follow	VERB
fis-4859	45	2	the	the	DET
fis-4859	45	3	lead	lead	NOUN
fis-4859	45	4	of	of	ADP
fis-4859	45	5	[	[	X
fis-4859	45	6	37	37	NUM
fis-4859	45	7	]	]	PUNCT
fis-4859	45	8	in	in	ADP
fis-4859	45	9	the	the	DET
fis-4859	45	10	case	case	NOUN
fis-4859	45	11	of	of	ADP
fis-4859	45	12	a	a	DET
fis-4859	45	13	shell	shell	NOUN
fis-4859	45	14	with	with	ADP
fis-4859	45	15	moderate	moderate	ADJ
fis-4859	45	16	curvature	curvature	NOUN
fis-4859	45	17	,	,	PUNCT
fis-4859	45	18	the	the	DET
fis-4859	45	19	classical	classical	ADJ
fis-4859	45	20	föppl	föppl	NOUN
fis-4859	45	21	-	-	PUNCT
fis-4859	45	22	von	von	NOUN
fis-4859	45	23	kármán	kármán	PROPN
fis-4859	45	24	(	(	PUNCT
fis-4859	45	25	fvk	fvk	ADJ
fis-4859	45	26	)	)	PUNCT
fis-4859	45	27	plate	plate	NOUN
fis-4859	45	28	equations	equation	NOUN
fis-4859	45	29	can	can	AUX
fis-4859	45	30	be	be	AUX
fis-4859	45	31	readily	readily	ADV
fis-4859	45	32	extended	extend	VERB
fis-4859	45	33	.	.	PUNCT
fis-4859	46	1	let	let	VERB
fis-4859	46	2	w(x	w(x	PRON
fis-4859	46	3	,	,	PUNCT
fis-4859	46	4	y	y	PROPN
fis-4859	46	5	)	)	PUNCT
fis-4859	46	6	denote	denote	VERB
fis-4859	46	7	the	the	DET
fis-4859	46	8	midsurface	midsurface	NOUN
fis-4859	46	9	of	of	ADP
fis-4859	46	10	the	the	DET
fis-4859	46	11	shell	shell	NOUN
fis-4859	46	12	in	in	ADP
fis-4859	46	13	the	the	DET
fis-4859	46	14	reference	reference	NOUN
fis-4859	46	15	(	(	PUNCT
fis-4859	46	16	unloaded	unloaded	ADJ
fis-4859	46	17	)	)	PUNCT
fis-4859	46	18	state	state	NOUN
fis-4859	46	19	,	,	PUNCT
fis-4859	46	20	and	and	CCONJ
fis-4859	46	21	let	let	VERB
fis-4859	46	22	the	the	DET
fis-4859	46	23	vertical	vertical	ADJ
fis-4859	46	24	displacement	displacement	NOUN
fis-4859	46	25	component	component	NOUN
fis-4859	46	26	be	be	AUX
fis-4859	46	27	w(x	w(x	PROPN
fis-4859	46	28	,	,	PUNCT
fis-4859	46	29	y	y	NOUN
fis-4859	46	30	)	)	PUNCT
fis-4859	46	31	.	.	PUNCT
fis-4859	47	1	in	in	ADP
fis-4859	47	2	specific	specific	ADJ
fis-4859	47	3	,	,	PUNCT
fis-4859	47	4	stress	stress	NOUN
fis-4859	47	5	t	t	PROPN
fis-4859	47	6	is	be	AUX
fis-4859	47	7	formally	formally	ADV
fis-4859	47	8	identical	identical	ADJ
fis-4859	47	9	to	to	PART
fis-4859	47	10	eqn	eqn	VERB
fis-4859	47	11	.	.	PUNCT
fis-4859	48	1	(	(	PUNCT
fis-4859	48	2	1	1	NUM
fis-4859	48	3	)	)	PUNCT
fis-4859	48	4	,	,	PUNCT
fis-4859	48	5	but	but	CCONJ
fis-4859	48	6	the	the	DET
fis-4859	48	7	strain	strain	ADJ
fis-4859	48	8	components	component	NOUN
fis-4859	48	9	of	of	ADP
fis-4859	48	10	the	the	DET
fis-4859	48	11	curved	curved	ADJ
fis-4859	48	12	shell	shell	NOUN
fis-4859	48	13	read	read	NOUN
fis-4859	48	14	:	:	PUNCT
fis-4859	48	15	t	t	PROPN
fis-4859	48	16	s.	s.	PROPN
fis-4859	48	17	cao	cao	PROPN
fis-4859	48	18	et	et	PROPN
fis-4859	48	19	alii	alii	PROPN
fis-4859	48	20	,	,	PUNCT
fis-4859	48	21	frattura	frattura	PROPN
fis-4859	48	22	ed	ed	PROPN
fis-4859	48	23	integrità	integrità	PROPN
fis-4859	48	24	strutturale	strutturale	PROPN
fis-4859	48	25	,	,	PUNCT
fis-4859	48	26	69	69	NUM
fis-4859	48	27	(	(	PUNCT
fis-4859	48	28	2024	2024	NUM
fis-4859	48	29	)	)	PUNCT
fis-4859	49	1	1	1	NUM
fis-4859	49	2	-	-	SYM
fis-4859	49	3	17	17	NUM
fis-4859	49	4	;	;	PUNCT
fis-4859	49	5	doi	doi	NOUN
fis-4859	49	6	:	:	PUNCT
fis-4859	49	7	10.3221	10.3221	NUM
fis-4859	49	8	/	/	SYM
fis-4859	49	9	igf	igf	NOUN
fis-4859	49	10	-	-	PUNCT
fis-4859	49	11	esis.69.01	esis.69.01	PROPN
fis-4859	49	12	3	3	NUM
fis-4859	49	13	21	21	NUM
fis-4859	49	14	2xx	2xx	NOUN
fis-4859	49	15	u	u	PROPN
fis-4859	49	16	w	w	PROPN
fis-4859	49	17	w	w	NOUN
fis-4859	49	18	we	we	PRON
fis-4859	49	19	x	x	PUNCT
fis-4859	49	20	x	x	SYM
fis-4859	49	21	x	x	SYM
fis-4859	49	22	x	x	SYM
fis-4859	49	23	∂	∂	NUM
fis-4859	49	24	∂	∂	NUM
fis-4859	49	25	∂	∂	NOUN
fis-4859	49	26	∂	∂	PROPN
fis-4859	49	27	=	=	X
fis-4859	50	1	+	+	CCONJ
fis-4859	50	2	+	+	CCONJ
fis-4859	50	3			ADJ
fis-4859	50	4	∂	∂	X
fis-4859	50	5	∂	∂	NOUN
fis-4859	50	6	∂	∂	NOUN
fis-4859	50	7	∂	∂	NOUN
fis-4859	50	8			PUNCT
fis-4859	51	1	(	(	PUNCT
fis-4859	51	2	3	3	NUM
fis-4859	51	3	)	)	PUNCT
fis-4859	51	4	1	1	NUM
fis-4859	51	5	2xy	2xy	NOUN
fis-4859	51	6	u	u	NOUN
fis-4859	51	7	v	v	PROPN
fis-4859	51	8	w	w	PROPN
fis-4859	51	9	w	w	PROPN
fis-4859	51	10	w	w	PROPN
fis-4859	51	11	w	w	PROPN
fis-4859	51	12	w	w	PROPN
fis-4859	51	13	we	we	PRON
fis-4859	51	14	y	y	NOUN
fis-4859	51	15	x	x	PUNCT
fis-4859	51	16	x	x	VERB
fis-4859	51	17	y	y	NOUN
fis-4859	51	18	y	y	NOUN
fis-4859	51	19	x	x	PUNCT
fis-4859	51	20	x	x	SYM
fis-4859	51	21	y	y	PROPN
fis-4859	51	22			PROPN
fis-4859	51	23	∂	∂	PROPN
fis-4859	51	24	∂	∂	NUM
fis-4859	51	25	∂	∂	NUM
fis-4859	51	26	∂	∂	NUM
fis-4859	51	27	∂	∂	NUM
fis-4859	51	28	∂	∂	NUM
fis-4859	51	29	∂	∂	NUM
fis-4859	51	30	∂	∂	NOUN
fis-4859	51	31	=	=	NOUN
fis-4859	52	1	+	+	PUNCT
fis-4859	52	2	+	+	PUNCT
fis-4859	52	3	+	+	PUNCT
fis-4859	52	4	+	+	ADJ
fis-4859	52	5			ADJ
fis-4859	52	6	∂	∂	X
fis-4859	52	7	∂	∂	NUM
fis-4859	52	8	∂	∂	NUM
fis-4859	52	9	∂	∂	NUM
fis-4859	52	10	∂	∂	NUM
fis-4859	52	11	∂	∂	NUM
fis-4859	52	12	∂	∂	NOUN
fis-4859	52	13	∂	∂	NOUN
fis-4859	52	14			PUNCT
fis-4859	53	1	(	(	PUNCT
fis-4859	53	2	4	4	NUM
fis-4859	53	3	)	)	SYM
fis-4859	53	4	2	2	NUM
fis-4859	53	5	1	1	NUM
fis-4859	53	6	2yy	2yy	NOUN
fis-4859	53	7	v	v	ADP
fis-4859	53	8	w	w	PROPN
fis-4859	53	9	w	w	NOUN
fis-4859	53	10	we	we	PRON
fis-4859	53	11	y	y	PROPN
fis-4859	53	12	y	y	PROPN
fis-4859	53	13	y	y	PROPN
fis-4859	53	14	y	y	PROPN
fis-4859	53	15			PROPN
fis-4859	53	16	∂	∂	PROPN
fis-4859	53	17	∂	∂	NUM
fis-4859	53	18	∂	∂	NUM
fis-4859	53	19	∂	∂	NOUN
fis-4859	53	20	=	=	NOUN
fis-4859	54	1	+	+	PUNCT
fis-4859	54	2	+	+	CCONJ
fis-4859	54	3			NOUN
fis-4859	54	4	∂	∂	X
fis-4859	54	5	∂	∂	NOUN
fis-4859	54	6	∂	∂	NOUN
fis-4859	54	7	∂	∂	NOUN
fis-4859	54	8			PUNCT
fis-4859	55	1	(	(	PUNCT
fis-4859	55	2	5	5	X
fis-4859	55	3	)	)	PUNCT
fis-4859	55	4	note	note	NOUN
fis-4859	55	5	that	that	SCONJ
fis-4859	55	6	the	the	DET
fis-4859	55	7	shear	shear	NOUN
fis-4859	55	8	strain	strain	VERB
fis-4859	55	9	exy	exy	ADV
fis-4859	55	10	defined	define	VERB
fis-4859	55	11	here	here	ADV
fis-4859	55	12	is	be	AUX
fis-4859	55	13	half	half	NOUN
fis-4859	55	14	of	of	ADP
fis-4859	55	15	the	the	DET
fis-4859	55	16	engineering	engineering	NOUN
fis-4859	55	17	shear	shear	NOUN
fis-4859	55	18	strain	strain	NOUN
fis-4859	55	19	and	and	CCONJ
fis-4859	55	20	w	w	PROPN
fis-4859	55	21	≡	≡	PROPN
fis-4859	55	22	0	0	NUM
fis-4859	55	23	recovers	recover	VERB
fis-4859	55	24	the	the	DET
fis-4859	55	25	classical	classical	ADJ
fis-4859	55	26	plane	plane	NOUN
fis-4859	55	27	stress	stress	NOUN
fis-4859	55	28	setting	setting	NOUN
fis-4859	55	29	.	.	PUNCT
fis-4859	56	1	similarly	similarly	ADV
fis-4859	56	2	,	,	PUNCT
fis-4859	56	3	w	w	PROPN
fis-4859	56	4	≡	≡	PROPN
fis-4859	56	5	0	0	PUNCT
fis-4859	56	6	leads	lead	VERB
fis-4859	56	7	to	to	ADP
fis-4859	56	8	the	the	DET
fis-4859	56	9	fvk	fvk	ADJ
fis-4859	56	10	plate	plate	NOUN
fis-4859	56	11	theory	theory	NOUN
fis-4859	56	12	.	.	PUNCT
fis-4859	57	1	nonetheless	nonetheless	ADV
fis-4859	57	2	,	,	PUNCT
fis-4859	57	3	measurements	measurement	NOUN
fis-4859	57	4	can	can	AUX
fis-4859	57	5	provide	provide	VERB
fis-4859	57	6	the	the	DET
fis-4859	57	7	values	value	NOUN
fis-4859	57	8	for	for	ADP
fis-4859	57	9	u	u	NOUN
fis-4859	57	10	,	,	PUNCT
fis-4859	57	11	v	v	NOUN
fis-4859	57	12	,	,	PUNCT
fis-4859	57	13	w	w	NOUN
fis-4859	57	14	and	and	CCONJ
fis-4859	57	15	w.	w.	PROPN
fis-4859	57	16	in	in	ADP
fis-4859	57	17	our	our	PRON
fis-4859	57	18	work	work	NOUN
fis-4859	57	19	,	,	PUNCT
fis-4859	57	20	we	we	PRON
fis-4859	57	21	introduce	introduce	VERB
fis-4859	57	22	two	two	NUM
fis-4859	57	23	simplifying	simplifying	NOUN
fis-4859	57	24	assumptions	assumption	NOUN
fis-4859	57	25	:	:	PUNCT
fis-4859	57	26	i.	i.	PROPN
fis-4859	57	27	based	base	VERB
fis-4859	57	28	on	on	ADP
fis-4859	57	29	the	the	DET
fis-4859	57	30	moderate	moderate	ADJ
fis-4859	57	31	curvature	curvature	NOUN
fis-4859	57	32	of	of	ADP
fis-4859	57	33	the	the	DET
fis-4859	57	34	surface	surface	NOUN
fis-4859	57	35	,	,	PUNCT
fis-4859	57	36	we	we	PRON
fis-4859	57	37	postulate	postulate	VERB
fis-4859	57	38	that	that	SCONJ
fis-4859	57	39	the	the	DET
fis-4859	57	40	distribution	distribution	NOUN
fis-4859	57	41	of	of	ADP
fis-4859	57	42	w	w	NOUN
fis-4859	57	43	around	around	ADP
fis-4859	57	44	the	the	DET
fis-4859	57	45	crack	crack	NOUN
fis-4859	57	46	tip	tip	NOUN
fis-4859	57	47	is	be	AUX
fis-4859	57	48	close	close	ADJ
fis-4859	57	49	to	to	ADP
fis-4859	57	50	linear	linear	VERB
fis-4859	57	51	;	;	PUNCT
fis-4859	57	52	i.e.	i.e.	X
fis-4859	57	53	,	,	PUNCT
fis-4859	57	54	we	we	PRON
fis-4859	57	55	approximate	approximate	VERB
fis-4859	57	56	the	the	DET
fis-4859	57	57	non	non	ADJ
fis-4859	57	58	-	-	ADJ
fis-4859	57	59	linear	linear	ADJ
fis-4859	57	60	function	function	PROPN
fis-4859	57	61	w(x	w(x	PROPN
fis-4859	57	62	,	,	PUNCT
fis-4859	57	63	y	y	PROPN
fis-4859	57	64	)	)	PUNCT
fis-4859	57	65	with	with	ADP
fis-4859	57	66	its	its	PRON
fis-4859	57	67	first	first	ADJ
fis-4859	57	68	-	-	PUNCT
fis-4859	57	69	order	order	NOUN
fis-4859	57	70	truncated	truncate	VERB
fis-4859	57	71	taylor	taylor	PROPN
fis-4859	57	72	series	series	PROPN
fis-4859	57	73	.	.	PUNCT
fis-4859	58	1	that	that	PRON
fis-4859	58	2	is	be	AUX
fis-4859	58	3	w	w	NOUN
fis-4859	58	4	ax	ax	NOUN
fis-4859	58	5	by	by	ADP
fis-4859	58	6	c≅	c≅	NOUN
fis-4859	59	1	+	+	X
fis-4859	59	2	+	+	CCONJ
fis-4859	59	3	(	(	PUNCT
fis-4859	59	4	6	6	NUM
fis-4859	59	5	)	)	PUNCT
fis-4859	59	6	is	be	AUX
fis-4859	59	7	postulated	postulate	VERB
fis-4859	59	8	and	and	CCONJ
fis-4859	59	9	the	the	DET
fis-4859	59	10	triple	triple	ADJ
fis-4859	59	11	(	(	PUNCT
fis-4859	59	12	a	a	DET
fis-4859	59	13	,	,	PUNCT
fis-4859	59	14	b	b	NOUN
fis-4859	59	15	,	,	PUNCT
fis-4859	59	16	c	c	NOUN
fis-4859	59	17	)	)	PUNCT
fis-4859	59	18	is	be	AUX
fis-4859	59	19	obtained	obtain	VERB
fis-4859	59	20	from	from	ADP
fis-4859	59	21	the	the	DET
fis-4859	59	22	measurements	measurement	NOUN
fis-4859	59	23	via	via	ADP
fis-4859	59	24	a	a	DET
fis-4859	59	25	least	least	ADJ
fis-4859	59	26	-	-	PUNCT
fis-4859	59	27	square	square	NOUN
fis-4859	59	28	fit	fit	PROPN
fis-4859	60	1	.	.	PUNCT
fis-4859	60	2	ii	ii	PROPN
fis-4859	60	3	.	.	PUNCT
fis-4859	61	1	locally	locally	ADV
fis-4859	61	2	,	,	PUNCT
fis-4859	61	3	the	the	DET
fis-4859	61	4	surface	surface	NOUN
fis-4859	61	5	is	be	AUX
fis-4859	61	6	approximated	approximate	VERB
fis-4859	61	7	with	with	ADP
fis-4859	61	8	a	a	DET
fis-4859	61	9	paraboloid	paraboloid	NOUN
fis-4859	61	10	.	.	PUNCT
fis-4859	62	1	these	these	DET
fis-4859	62	2	two	two	NUM
fis-4859	62	3	assumptions	assumption	NOUN
fis-4859	62	4	yield	yield	NOUN
fis-4859	62	5	,	,	PUNCT
fis-4859	62	6	that	that	SCONJ
fis-4859	62	7	we	we	PRON
fis-4859	62	8	can	can	AUX
fis-4859	62	9	introduce	introduce	VERB
fis-4859	62	10	the	the	DET
fis-4859	62	11	displacements	displacement	NOUN
fis-4859	62	12	(	(	PUNCT
fis-4859	62	13	ū	ū	X
fis-4859	62	14	,	,	PUNCT
fis-4859	62	15	v̄	v̄	NOUN
fis-4859	62	16	)	)	PUNCT
fis-4859	62	17	of	of	ADP
fis-4859	62	18	the	the	DET
fis-4859	62	19	equivalent	equivalent	ADJ
fis-4859	62	20	planar	planar	ADJ
fis-4859	62	21	problem	problem	NOUN
fis-4859	62	22	,	,	PUNCT
fis-4859	62	23	namely	namely	ADV
fis-4859	62	24	:	:	PUNCT
fis-4859	62	25	(	(	PUNCT
fis-4859	62	26	)	)	PUNCT
fis-4859	62	27	21	21	NUM
fis-4859	62	28	1	1	NUM
fis-4859	62	29	,	,	PUNCT
fis-4859	62	30	2	2	NUM
fis-4859	62	31	2	2	NUM
fis-4859	62	32	u	u	NOUN
fis-4859	62	33	u	u	NOUN
fis-4859	62	34	aw	aw	INTJ
fis-4859	62	35	x	x	PROPN
fis-4859	62	36	y	y	NOUN
fis-4859	62	37	a	a	X
fis-4859	62	38	x	x	X
fis-4859	63	1	aby=	aby=	NOUN
fis-4859	63	2	+	+	PROPN
fis-4859	63	3	+	+	PUNCT
fis-4859	63	4	+	+	CCONJ
fis-4859	63	5	(	(	PUNCT
fis-4859	63	6	7	7	NUM
fis-4859	63	7	)	)	PUNCT
fis-4859	63	8	(	(	PUNCT
fis-4859	63	9	)	)	PUNCT
fis-4859	63	10	21	21	NUM
fis-4859	63	11	1	1	NUM
fis-4859	63	12	,	,	PUNCT
fis-4859	63	13	2	2	NUM
fis-4859	63	14	2	2	NUM
fis-4859	63	15	v	v	NOUN
fis-4859	63	16	v	v	NOUN
fis-4859	63	17	bw	bw	NOUN
fis-4859	63	18	x	x	X
fis-4859	63	19	y	y	PROPN
fis-4859	63	20	b	b	PROPN
fis-4859	63	21	y	y	PROPN
fis-4859	63	22	abx=	abx=	PROPN
fis-4859	63	23	+	+	PROPN
fis-4859	64	1	+	+	PUNCT
fis-4859	64	2	+	+	CCONJ
fis-4859	64	3	(	(	PUNCT
fis-4859	64	4	8)	8)	NUM
fis-4859	64	5	substitution	substitution	NOUN
fis-4859	64	6	of	of	ADP
fis-4859	64	7	eqns	eqns	PROPN
fis-4859	64	8	.	.	PUNCT
fis-4859	65	1	(	(	PUNCT
fis-4859	65	2	7	7	NUM
fis-4859	65	3	)	)	PUNCT
fis-4859	65	4	and	and	CCONJ
fis-4859	65	5	(	(	PUNCT
fis-4859	65	6	8)	8)	NUM
fis-4859	65	7	into	into	ADP
fis-4859	65	8	the	the	DET
fis-4859	65	9	expression	expression	NOUN
fis-4859	65	10	in	in	ADP
fis-4859	65	11	eqn	eqn	NOUN
fis-4859	65	12	.	.	PUNCT
fis-4859	66	1	(	(	PUNCT
fis-4859	66	2	2	2	X
fis-4859	66	3	)	)	PUNCT
fis-4859	66	4	is	be	AUX
fis-4859	66	5	identical	identical	ADJ
fis-4859	66	6	to	to	ADP
fis-4859	66	7	the	the	DET
fis-4859	66	8	spatial	spatial	ADJ
fis-4859	66	9	problem	problem	NOUN
fis-4859	66	10	in	in	ADP
fis-4859	66	11	eqns	eqns	PROPN
fis-4859	66	12	.	.	PUNCT
fis-4859	67	1	(	(	PUNCT
fis-4859	67	2	3	3	NUM
fis-4859	67	3	-	-	SYM
fis-4859	67	4	5	5	NUM
fis-4859	67	5	)	)	PUNCT
fis-4859	67	6	if	if	SCONJ
fis-4859	67	7	assumption	assumption	NOUN
fis-4859	67	8	(	(	PUNCT
fis-4859	67	9	i	i	NOUN
fis-4859	67	10	)	)	PUNCT
fis-4859	67	11	is	be	AUX
fis-4859	67	12	followed	follow	VERB
fis-4859	67	13	.	.	PUNCT
fis-4859	68	1	for	for	ADP
fis-4859	68	2	the	the	DET
fis-4859	68	3	sake	sake	NOUN
fis-4859	68	4	of	of	ADP
fis-4859	68	5	completeness	completeness	NOUN
fis-4859	68	6	,	,	PUNCT
fis-4859	68	7	we	we	PRON
fis-4859	68	8	provide	provide	VERB
fis-4859	68	9	the	the	DET
fis-4859	68	10	wc	wc	PROPN
fis-4859	68	11	and	and	CCONJ
fis-4859	68	12	ws	ws	NOUN
fis-4859	68	13	formulas	formula	NOUN
fis-4859	68	14	for	for	ADP
fis-4859	68	15	cylindrical	cylindrical	ADJ
fis-4859	68	16	and	and	CCONJ
fis-4859	68	17	spherical	spherical	ADJ
fis-4859	68	18	specimens	specimen	NOUN
fis-4859	68	19	,	,	PUNCT
fis-4859	68	20	respectively	respectively	ADV
fis-4859	68	21	.	.	PUNCT
fis-4859	69	1	in	in	ADP
fis-4859	69	2	both	both	DET
fis-4859	69	3	cases	case	NOUN
fis-4859	69	4	,	,	PUNCT
fis-4859	69	5	based	base	VERB
fis-4859	69	6	on	on	ADP
fis-4859	69	7	assumption	assumption	NOUN
fis-4859	69	8	ii	ii	PROPN
fis-4859	69	9	.	.	PUNCT
fis-4859	70	1	and	and	CCONJ
fis-4859	70	2	r	r	NOUN
fis-4859	70	3	denoting	denote	VERB
fis-4859	70	4	the	the	DET
fis-4859	70	5	radius	radius	NOUN
fis-4859	70	6	of	of	ADP
fis-4859	70	7	the	the	DET
fis-4859	70	8	main	main	ADJ
fis-4859	70	9	circle	circle	NOUN
fis-4859	70	10	,	,	PUNCT
fis-4859	70	11	we	we	PRON
fis-4859	70	12	have	have	VERB
fis-4859	70	13	:	:	PUNCT
fis-4859	70	14	(	(	PUNCT
fis-4859	70	15	)	)	PUNCT
fis-4859	70	16	21	21	NUM
fis-4859	70	17	,	,	PUNCT
fis-4859	70	18	2cw	2cw	NOUN
fis-4859	70	19	x	x	PUNCT
fis-4859	70	20	y	y	NOUN
fis-4859	70	21	x	x	SYM
fis-4859	70	22	r	r	NOUN
fis-4859	70	23	=	=	SYM
fis-4859	70	24	−	−	PROPN
fis-4859	70	25	(	(	PUNCT
fis-4859	70	26	9	9	NUM
fis-4859	70	27	)	)	PUNCT
fis-4859	70	28	(	(	PUNCT
fis-4859	70	29	)	)	PUNCT
fis-4859	70	30	2	2	NUM
fis-4859	70	31	21	21	NUM
fis-4859	70	32	1	1	NUM
fis-4859	70	33	,	,	PUNCT
fis-4859	70	34	2	2	NUM
fis-4859	70	35	2sw	2sw	NOUN
fis-4859	70	36	x	x	PUNCT
fis-4859	71	1	y	y	NOUN
fis-4859	71	2	x	x	PUNCT
fis-4859	71	3	y	y	NOUN
fis-4859	71	4	r	r	NOUN
fis-4859	71	5	r	r	NOUN
fis-4859	71	6	=	=	PUNCT
fis-4859	71	7	−	−	NOUN
fis-4859	71	8	−	−	PROPN
fis-4859	71	9	(	(	PUNCT
fis-4859	71	10	10	10	NUM
fis-4859	71	11	)	)	PUNCT
fis-4859	71	12	in	in	ADP
fis-4859	71	13	summary	summary	NOUN
fis-4859	71	14	,	,	PUNCT
fis-4859	71	15	the	the	DET
fis-4859	71	16	equivalent	equivalent	ADJ
fis-4859	71	17	plane	plane	NOUN
fis-4859	71	18	stress	stress	NOUN
fis-4859	71	19	problem	problem	NOUN
fis-4859	71	20	,	,	PUNCT
fis-4859	71	21	characterized	characterize	VERB
fis-4859	71	22	by	by	ADP
fis-4859	71	23	(	(	PUNCT
fis-4859	71	24	ū	ū	X
fis-4859	71	25	,	,	PUNCT
fis-4859	71	26	v̄	v̄	NOUN
fis-4859	71	27	)	)	PUNCT
fis-4859	71	28	,	,	PUNCT
fis-4859	71	29	provides	provide	VERB
fis-4859	71	30	an	an	DET
fis-4859	71	31	identical	identical	ADJ
fis-4859	71	32	growth	growth	NOUN
fis-4859	71	33	rate	rate	NOUN
fis-4859	71	34	of	of	ADP
fis-4859	71	35	the	the	DET
fis-4859	71	36	stress	stress	NOUN
fis-4859	71	37	(	(	PUNCT
fis-4859	71	38	compared	compare	VERB
fis-4859	71	39	to	to	ADP
fis-4859	71	40	the	the	DET
fis-4859	71	41	curved	curved	ADJ
fis-4859	71	42	situation	situation	NOUN
fis-4859	71	43	)	)	PUNCT
fis-4859	71	44	because	because	SCONJ
fis-4859	71	45	the	the	DET
fis-4859	71	46	stresses	stress	NOUN
fis-4859	71	47	in	in	ADP
fis-4859	71	48	the	the	DET
fis-4859	71	49	shallow	shallow	ADJ
fis-4859	71	50	shell	shell	NOUN
fis-4859	71	51	in	in	ADP
fis-4859	71	52	the	the	DET
fis-4859	71	53	membrane	membrane	NOUN
fis-4859	71	54	state	state	NOUN
fis-4859	71	55	in	in	ADP
fis-4859	71	56	the	the	DET
fis-4859	71	57	vicinity	vicinity	NOUN
fis-4859	71	58	of	of	ADP
fis-4859	71	59	the	the	DET
fis-4859	71	60	crack	crack	NOUN
fis-4859	71	61	tip	tip	NOUN
fis-4859	71	62	resembles	resemble	VERB
fis-4859	71	63	to	to	ADP
fis-4859	71	64	a	a	DET
fis-4859	71	65	2d	2d	NUM
fis-4859	71	66	plane	plane	NOUN
fis-4859	71	67	stress	stress	NOUN
fis-4859	71	68	crack	crack	NOUN
fis-4859	71	69	tip	tip	NOUN
fis-4859	71	70	,	,	PUNCT
fis-4859	71	71	with	with	ADP
fis-4859	71	72	eqns	eqns	PROPN
fis-4859	71	73	.	.	PUNCT
fis-4859	72	1	(	(	PUNCT
fis-4859	72	2	7	7	NUM
fis-4859	72	3	)	)	PUNCT
fis-4859	72	4	and	and	CCONJ
fis-4859	72	5	(	(	PUNCT
fis-4859	72	6	8)	8)	NUM
fis-4859	72	7	providing	provide	VERB
fis-4859	72	8	the	the	DET
fis-4859	72	9	transformation	transformation	NOUN
fis-4859	72	10	between	between	ADP
fis-4859	72	11	the	the	DET
fis-4859	72	12	two	two	NUM
fis-4859	72	13	cases	case	NOUN
fis-4859	72	14	,	,	PUNCT
fis-4859	72	15	making	make	VERB
fis-4859	72	16	the	the	DET
fis-4859	72	17	method	method	NOUN
fis-4859	72	18	to	to	ADP
fis-4859	72	19	a	a	DET
fis-4859	72	20	reliable	reliable	ADJ
fis-4859	72	21	predictor	predictor	NOUN
fis-4859	72	22	of	of	ADP
fis-4859	72	23	the	the	DET
fis-4859	72	24	sif	sif	PROPN
fis-4859	72	25	.	.	PUNCT
fis-4859	72	26	methodology	methodology	PROPN
fis-4859	73	1	d	d	X
fis-4859	73	2	-	-	PUNCT
fis-4859	73	3	dic	dic	ADJ
fis-4859	73	4	(	(	PUNCT
fis-4859	73	5	digital	digital	ADJ
fis-4859	73	6	image	image	NOUN
fis-4859	73	7	correlation	correlation	NOUN
fis-4859	73	8	)	)	PUNCT
fis-4859	73	9	is	be	AUX
fis-4859	73	10	widely	widely	ADV
fis-4859	73	11	applied	apply	VERB
fis-4859	73	12	in	in	ADP
fis-4859	73	13	the	the	DET
fis-4859	73	14	full	full	ADJ
fis-4859	73	15	-	-	PUNCT
fis-4859	73	16	field	field	NOUN
fis-4859	73	17	measurements	measurement	NOUN
fis-4859	73	18	of	of	ADP
fis-4859	73	19	deformation	deformation	NOUN
fis-4859	73	20	and	and	CCONJ
fis-4859	73	21	strains	strain	NOUN
fis-4859	73	22	in	in	ADP
fis-4859	73	23	scientific	scientific	ADJ
fis-4859	73	24	and	and	CCONJ
fis-4859	73	25	industrial	industrial	ADJ
fis-4859	73	26	conditions	condition	NOUN
fis-4859	73	27	[	[	X
fis-4859	73	28	39	39	NUM
fis-4859	73	29	-	-	SYM
fis-4859	73	30	41	41	NUM
fis-4859	73	31	]	]	PUNCT
fis-4859	73	32	,	,	PUNCT
fis-4859	73	33	and	and	CCONJ
fis-4859	73	34	it	it	PRON
fis-4859	73	35	can	can	AUX
fis-4859	73	36	measure	measure	VERB
fis-4859	73	37	the	the	DET
fis-4859	73	38	displacement	displacement	NOUN
fis-4859	73	39	of	of	ADP
fis-4859	73	40	shell	shell	ADJ
fis-4859	73	41	structures	structure	NOUN
fis-4859	73	42	like	like	ADP
fis-4859	73	43	cylindrical	cylindrical	ADJ
fis-4859	73	44	structures	structure	NOUN
fis-4859	73	45	and	and	CCONJ
fis-4859	73	46	spherical	spherical	ADJ
fis-4859	73	47	structures	structure	NOUN
fis-4859	73	48	,	,	PUNCT
fis-4859	73	49	as	as	ADP
fis-4859	73	50	fig	fig	NOUN
fis-4859	73	51	.	.	PUNCT
fis-4859	74	1	1	1	NUM
fis-4859	74	2	shows	show	NOUN
fis-4859	74	3	,	,	PUNCT
fis-4859	74	4	the	the	DET
fis-4859	74	5	components	component	NOUN
fis-4859	74	6	of	of	ADP
fis-4859	74	7	one	one	NUM
fis-4859	74	8	3d	3d	NUM
fis-4859	74	9	-	-	PUNCT
fis-4859	74	10	dic	dic	ADJ
fis-4859	74	11	experiment	experiment	NOUN
fis-4859	74	12	include	include	VERB
fis-4859	74	13	the	the	DET
fis-4859	74	14	specimen	speciman	NOUN
fis-4859	74	15	,	,	PUNCT
fis-4859	74	16	two	two	NUM
fis-4859	74	17	ccd	ccd	NOUN
fis-4859	74	18	cameras	camera	NOUN
fis-4859	74	19	,	,	PUNCT
fis-4859	74	20	and	and	CCONJ
fis-4859	74	21	a	a	DET
fis-4859	74	22	computer	computer	NOUN
fis-4859	74	23	.	.	PUNCT
fis-4859	75	1	for	for	ADP
fis-4859	75	2	improved	improved	ADJ
fis-4859	75	3	visibility	visibility	NOUN
fis-4859	75	4	,	,	PUNCT
fis-4859	75	5	the	the	DET
fis-4859	75	6	relevant	relevant	ADJ
fis-4859	75	7	region	region	NOUN
fis-4859	75	8	of	of	ADP
fis-4859	75	9	the	the	DET
fis-4859	75	10	specimen	speciman	NOUN
fis-4859	75	11	surface	surface	NOUN
fis-4859	75	12	is	be	AUX
fis-4859	75	13	painted	paint	VERB
fis-4859	75	14	with	with	ADP
fis-4859	75	15	artificial	artificial	ADJ
fis-4859	75	16	speckles	speckle	NOUN
fis-4859	75	17	;	;	PUNCT
fis-4859	75	18	during	during	ADP
fis-4859	75	19	the	the	DET
fis-4859	75	20	loading	loading	NOUN
fis-4859	75	21	process	process	NOUN
fis-4859	75	22	,	,	PUNCT
fis-4859	75	23	two	two	NUM
fis-4859	75	24	ccd	ccd	NOUN
fis-4859	75	25	cameras	camera	NOUN
fis-4859	75	26	capture	capture	NOUN
fis-4859	75	27	images	image	NOUN
fis-4859	75	28	simultaneously	simultaneously	ADV
fis-4859	75	29	.	.	PUNCT
fis-4859	76	1	after	after	ADP
fis-4859	76	2	the	the	DET
fis-4859	76	3	experiment	experiment	NOUN
fis-4859	76	4	,	,	PUNCT
fis-4859	76	5	the	the	DET
fis-4859	76	6	3	3	NUM
fis-4859	76	7	s.	s.	PROPN
fis-4859	76	8	cao	cao	PROPN
fis-4859	76	9	et	et	PROPN
fis-4859	76	10	alii	alii	PROPN
fis-4859	76	11	,	,	PUNCT
fis-4859	76	12	frattura	frattura	PROPN
fis-4859	76	13	ed	ed	PROPN
fis-4859	76	14	integrità	integrità	PROPN
fis-4859	76	15	strutturale	strutturale	PROPN
fis-4859	76	16	,	,	PUNCT
fis-4859	76	17	69	69	NUM
fis-4859	76	18	(	(	PUNCT
fis-4859	76	19	2024	2024	NUM
fis-4859	76	20	)	)	PUNCT
fis-4859	76	21	1	1	NUM
fis-4859	76	22	-	-	SYM
fis-4859	76	23	17	17	NUM
fis-4859	76	24	;	;	PUNCT
fis-4859	76	25	doi	doi	NOUN
fis-4859	76	26	:	:	PUNCT
fis-4859	76	27	10.3221	10.3221	NUM
fis-4859	76	28	/	/	SYM
fis-4859	76	29	igf	igf	NOUN
fis-4859	76	30	-	-	PUNCT
fis-4859	76	31	esis.69.01	esis.69.01	PROPN
fis-4859	76	32	4	4	NUM
fis-4859	76	33	displacement	displacement	ADJ
fis-4859	76	34	field	field	NOUN
fis-4859	76	35	with	with	ADP
fis-4859	76	36	components	component	NOUN
fis-4859	76	37	stored	store	VERB
fis-4859	76	38	in	in	ADP
fis-4859	76	39	vectors	vector	NOUN
fis-4859	76	40	u	u	PROPN
fis-4859	76	41	,	,	PUNCT
fis-4859	76	42	v	v	NOUN
fis-4859	76	43	,	,	PUNCT
fis-4859	76	44	and	and	CCONJ
fis-4859	76	45	w	w	NOUN
fis-4859	76	46	in	in	ADP
fis-4859	76	47	a	a	DET
fis-4859	76	48	global	global	ADJ
fis-4859	76	49	frame	frame	NOUN
fis-4859	76	50	at	at	ADP
fis-4859	76	51	each	each	DET
fis-4859	76	52	time	time	NOUN
fis-4859	76	53	instant	instant	NOUN
fis-4859	76	54	can	can	AUX
fis-4859	76	55	be	be	AUX
fis-4859	76	56	retrieved	retrieve	VERB
fis-4859	76	57	.	.	PUNCT
fis-4859	77	1	specimen	speciman	NOUN
fis-4859	77	2	right	right	PROPN
fis-4859	78	1	ccd	ccd	PROPN
fis-4859	78	2	camera	camera	NOUN
fis-4859	78	3	left	leave	VERB
fis-4859	78	4	ccd	ccd	PROPN
fis-4859	78	5	camera	camera	NOUN
fis-4859	78	6	computer	computer	NOUN
fis-4859	78	7	figure	figure	NOUN
fis-4859	78	8	1	1	NUM
fis-4859	78	9	:	:	PUNCT
fis-4859	78	10	components	component	NOUN
fis-4859	78	11	of	of	ADP
fis-4859	78	12	3d	3d	PROPN
fis-4859	78	13	-	-	PUNCT
fis-4859	78	14	dic	dic	NOUN
fis-4859	78	15	and	and	CCONJ
fis-4859	78	16	results	result	NOUN
fis-4859	78	17	of	of	ADP
fis-4859	78	18	displacement	displacement	ADJ
fis-4859	78	19	field	field	NOUN
fis-4859	78	20	.	.	PUNCT
fis-4859	79	1	to	to	PART
fis-4859	79	2	calculate	calculate	VERB
fis-4859	79	3	the	the	DET
fis-4859	79	4	stress	stress	NOUN
fis-4859	79	5	intensity	intensity	NOUN
fis-4859	79	6	factor	factor	NOUN
fis-4859	79	7	of	of	ADP
fis-4859	79	8	a	a	DET
fis-4859	79	9	curved	curved	ADJ
fis-4859	79	10	shell	shell	NOUN
fis-4859	79	11	,	,	PUNCT
fis-4859	79	12	as	as	ADP
fis-4859	79	13	fig	fig	NOUN
fis-4859	79	14	.	.	PUNCT
fis-4859	80	1	2	2	NUM
fis-4859	80	2	(	(	PUNCT
fis-4859	80	3	a	a	NOUN
fis-4859	80	4	)	)	PUNCT
fis-4859	80	5	shows	show	NOUN
fis-4859	80	6	,	,	PUNCT
fis-4859	80	7	the	the	DET
fis-4859	80	8	tangent	tangent	NOUN
fis-4859	80	9	to	to	ADP
fis-4859	80	10	the	the	DET
fis-4859	80	11	surface	surface	NOUN
fis-4859	80	12	is	be	AUX
fis-4859	80	13	located	locate	VERB
fis-4859	80	14	at	at	ADP
fis-4859	80	15	the	the	DET
fis-4859	80	16	crack	crack	NOUN
fis-4859	80	17	tip	tip	NOUN
fis-4859	80	18	.	.	PUNCT
fis-4859	81	1	denote	denote	VERB
fis-4859	81	2	the	the	DET
fis-4859	81	3	unit	unit	NOUN
fis-4859	81	4	normal	normal	ADJ
fis-4859	81	5	vector	vector	NOUN
fis-4859	81	6	of	of	ADP
fis-4859	81	7	the	the	DET
fis-4859	81	8	surface	surface	NOUN
fis-4859	81	9	at	at	ADP
fis-4859	81	10	the	the	DET
fis-4859	81	11	crack	crack	NOUN
fis-4859	81	12	tip	tip	NOUN
fis-4859	81	13	to	to	ADP
fis-4859	81	14	k	k	PROPN
fis-4859	81	15	,	,	PUNCT
fis-4859	81	16	the	the	DET
fis-4859	81	17	unit	unit	NOUN
fis-4859	81	18	vector	vector	NOUN
fis-4859	81	19	in	in	ADP
fis-4859	81	20	the	the	DET
fis-4859	81	21	tangent	tangent	ADJ
fis-4859	81	22	plane	plane	NOUN
fis-4859	81	23	directed	direct	VERB
fis-4859	81	24	along	along	ADP
fis-4859	81	25	the	the	DET
fis-4859	81	26	extended	extended	ADJ
fis-4859	81	27	crack	crack	NOUN
fis-4859	81	28	to	to	ADP
fis-4859	81	29	i	i	PRON
fis-4859	81	30	,	,	PUNCT
fis-4859	81	31	and	and	CCONJ
fis-4859	81	32	set	set	VERB
fis-4859	81	33	j	j	PROPN
fis-4859	81	34	=	=	SYM
fis-4859	81	35	k	k	PROPN
fis-4859	81	36	×	×	PROPN
fis-4859	82	1	i	i	PRON
fis-4859	82	2	,	,	PUNCT
fis-4859	82	3	where	where	SCONJ
fis-4859	82	4	‘	'	PUNCT
fis-4859	82	5	×	×	NOUN
fis-4859	82	6	’	'	PUNCT
fis-4859	82	7	denotes	denote	VERB
fis-4859	82	8	the	the	DET
fis-4859	82	9	cross	cross	NOUN
fis-4859	82	10	product	product	NOUN
fis-4859	82	11	.	.	PUNCT
fis-4859	83	1	the	the	DET
fis-4859	83	2	displacement	displacement	ADJ
fis-4859	83	3	component	component	NOUN
fis-4859	83	4	vectors	vector	NOUN
fis-4859	83	5	u	u	NOUN
fis-4859	83	6	,	,	PUNCT
fis-4859	83	7	v	v	NOUN
fis-4859	83	8	,	,	PUNCT
fis-4859	83	9	w	w	NOUN
fis-4859	83	10	in	in	ADP
fis-4859	83	11	the	the	DET
fis-4859	83	12	global	global	ADJ
fis-4859	83	13	basis	basis	NOUN
fis-4859	83	14	(	(	PUNCT
fis-4859	83	15	x	x	X
fis-4859	83	16	,	,	PUNCT
fis-4859	83	17	y	y	PROPN
fis-4859	83	18	,	,	PUNCT
fis-4859	83	19	z	z	NOUN
fis-4859	83	20	)	)	PUNCT
fis-4859	83	21	can	can	AUX
fis-4859	83	22	be	be	AUX
fis-4859	83	23	transformed	transform	VERB
fis-4859	83	24	to	to	ADP
fis-4859	83	25	the	the	DET
fis-4859	83	26	local	local	ADJ
fis-4859	83	27	basis	basis	NOUN
fis-4859	83	28	(	(	PUNCT
fis-4859	83	29	i	i	PROPN
fis-4859	83	30	,	,	PUNCT
fis-4859	83	31	j	j	PROPN
fis-4859	83	32	,	,	PUNCT
fis-4859	83	33	k	k	NOUN
fis-4859	83	34	)	)	PUNCT
fis-4859	83	35	via	via	ADP
fis-4859	83	36	:	:	PUNCT
fis-4859	83	37	(	(	PUNCT
fis-4859	83	38	,	,	PUNCT
fis-4859	83	39	,	,	PUNCT
fis-4859	83	40	)	)	PUNCT
fis-4859	83	41	(	(	PUNCT
fis-4859	83	42	,	,	PUNCT
fis-4859	83	43	,	,	PUNCT
fis-4859	83	44	)	)	PUNCT
fis-4859	83	45	x	x	PROPN
fis-4859	84	1	y	y	PROPN
fis-4859	84	2	z	z	NOUN
fis-4859	85	1	i	i	PRON
fis-4859	85	2	j	j	PROPN
fis-4859	85	3	k→	k→	ADJ
fis-4859	85	4			VERB
fis-4859	85	5			PROPN
fis-4859	85	6			NOUN
fis-4859	86	1			PRON
fis-4859	86	2			ADJ
fis-4859	86	3			PROPN
fis-4859	86	4			NOUN
fis-4859	86	5	=	=	NUM
fis-4859	86	6			PROPN
fis-4859	86	7			ADJ
fis-4859	86	8			PROPN
fis-4859	86	9			ADJ
fis-4859	86	10			PROPN
fis-4859	86	11			ADJ
fis-4859	86	12			ADJ
fis-4859	86	13			NOUN
fis-4859	86	14			NOUN
fis-4859	86	15			PROPN
fis-4859	86	16	u	u	NOUN
fis-4859	86	17	u	u	NOUN
fis-4859	86	18	v	v	ADP
fis-4859	86	19	a	a	DET
fis-4859	86	20	v	v	NOUN
fis-4859	86	21	w	w	NOUN
fis-4859	86	22	w	w	PROPN
fis-4859	86	23	(	(	PUNCT
fis-4859	86	24	11	11	NUM
fis-4859	86	25	)	)	PUNCT
fis-4859	86	26	where	where	SCONJ
fis-4859	86	27	matrix	matrix	NOUN
fis-4859	86	28	a(x	a(x	NOUN
fis-4859	86	29	,	,	PUNCT
fis-4859	86	30	y	y	PROPN
fis-4859	86	31	,	,	PUNCT
fis-4859	86	32	z)→(i	z)→(i	PROPN
fis-4859	86	33	,	,	PUNCT
fis-4859	86	34	j	j	PROPN
fis-4859	86	35	,	,	PUNCT
fis-4859	86	36	k	k	NOUN
fis-4859	86	37	)	)	PUNCT
fis-4859	86	38	is	be	AUX
fis-4859	86	39	the	the	DET
fis-4859	86	40	transformation	transformation	NOUN
fis-4859	86	41	matrix	matrix	NOUN
fis-4859	86	42	from	from	ADP
fis-4859	86	43	basis	basis	NOUN
fis-4859	86	44	(	(	PUNCT
fis-4859	86	45	x	x	X
fis-4859	86	46	,	,	PUNCT
fis-4859	86	47	y	y	PROPN
fis-4859	86	48	,	,	PUNCT
fis-4859	86	49	z	z	NOUN
fis-4859	86	50	)	)	PUNCT
fis-4859	86	51	to	to	ADP
fis-4859	86	52	the	the	DET
fis-4859	86	53	basis	basis	NOUN
fis-4859	86	54	(	(	PUNCT
fis-4859	86	55	i	i	PROPN
fis-4859	86	56	,	,	PUNCT
fis-4859	86	57	j	j	PROPN
fis-4859	86	58	,	,	PUNCT
fis-4859	86	59	k	k	PROPN
fis-4859	86	60	)	)	PUNCT
fis-4859	86	61	,	,	PUNCT
fis-4859	86	62	and	and	CCONJ
fis-4859	86	63	u	u	NOUN
fis-4859	86	64	,	,	PUNCT
fis-4859	86	65	v	v	NOUN
fis-4859	86	66	,	,	PUNCT
fis-4859	86	67	w	w	PROPN
fis-4859	86	68	are	be	AUX
fis-4859	86	69	the	the	DET
fis-4859	86	70	displacement	displacement	ADJ
fis-4859	86	71	component	component	NOUN
fis-4859	86	72	vectors	vector	NOUN
fis-4859	86	73	in	in	ADP
fis-4859	86	74	basis	basis	NOUN
fis-4859	86	75	(	(	PUNCT
fis-4859	86	76	i	i	PROPN
fis-4859	86	77	,	,	PUNCT
fis-4859	86	78	j	j	PROPN
fis-4859	86	79	,	,	PUNCT
fis-4859	86	80	k	k	PROPN
fis-4859	86	81	)	)	PUNCT
fis-4859	86	82	.	.	PUNCT
fis-4859	87	1	the	the	DET
fis-4859	87	2	displacement	displacement	ADJ
fis-4859	87	3	component	component	NOUN
fis-4859	87	4	w	w	NOUN
fis-4859	87	5	is	be	AUX
fis-4859	87	6	normal	normal	ADJ
fis-4859	87	7	to	to	ADP
fis-4859	87	8	the	the	DET
fis-4859	87	9	tangent	tangent	ADJ
fis-4859	87	10	plane	plane	NOUN
fis-4859	87	11	spanned	span	VERB
fis-4859	87	12	by	by	ADP
fis-4859	87	13	i	i	PRON
fis-4859	87	14	and	and	CCONJ
fis-4859	87	15	j	j	PROPN
fis-4859	87	16	,	,	PUNCT
fis-4859	87	17	which	which	PRON
fis-4859	87	18	means	mean	VERB
fis-4859	87	19	the	the	DET
fis-4859	87	20	2d	2d	NUM
fis-4859	87	21	displacement	displacement	ADJ
fis-4859	87	22	components	component	NOUN
fis-4859	87	23	are	be	AUX
fis-4859	87	24	vectors	vector	NOUN
fis-4859	87	25	u	u	NOUN
fis-4859	87	26	,	,	PUNCT
fis-4859	87	27	v.	v.	CCONJ
fis-4859	87	28	in	in	ADP
fis-4859	87	29	the	the	DET
fis-4859	87	30	following	following	ADJ
fis-4859	87	31	step	step	NOUN
fis-4859	87	32	,	,	PUNCT
fis-4859	87	33	the	the	DET
fis-4859	87	34	elements	element	NOUN
fis-4859	87	35	of	of	ADP
fis-4859	87	36	w	w	PROPN
fis-4859	87	37	is	be	AUX
fis-4859	87	38	used	use	VERB
fis-4859	87	39	to	to	PART
fis-4859	87	40	fit	fit	VERB
fis-4859	87	41	a	a	DET
fis-4859	87	42	plane	plane	NOUN
fis-4859	87	43	and	and	CCONJ
fis-4859	87	44	obtain	obtain	VERB
fis-4859	87	45	the	the	DET
fis-4859	87	46	constants	constant	NOUN
fis-4859	87	47	(	(	PUNCT
fis-4859	87	48	a	a	DET
fis-4859	87	49	,	,	PUNCT
fis-4859	87	50	b	b	NOUN
fis-4859	87	51	,	,	PUNCT
fis-4859	87	52	c	c	NOUN
fis-4859	87	53	)	)	PUNCT
fis-4859	87	54	,	,	PUNCT
fis-4859	87	55	as	as	SCONJ
fis-4859	87	56	it	it	PRON
fis-4859	87	57	is	be	AUX
fis-4859	87	58	described	describe	VERB
fis-4859	87	59	in	in	ADP
fis-4859	87	60	the	the	DET
fis-4859	87	61	previous	previous	ADJ
fis-4859	87	62	section	section	NOUN
fis-4859	87	63	.	.	PUNCT
fis-4859	88	1	in	in	ADP
fis-4859	88	2	order	order	NOUN
fis-4859	88	3	to	to	PART
fis-4859	88	4	compute	compute	VERB
fis-4859	88	5	(	(	PUNCT
fis-4859	88	6	u	u	NOUN
fis-4859	88	7	 	 	SPACE
fis-4859	88	8	,	,	PUNCT
fis-4859	88	9	v	v	NOUN
fis-4859	88	10	)	)	PUNCT
fis-4859	88	11	in	in	ADP
fis-4859	88	12	eqns	eqns	PROPN
fis-4859	88	13	.	.	PUNCT
fis-4859	89	1	(	(	PUNCT
fis-4859	89	2	7	7	NUM
fis-4859	89	3	)	)	PUNCT
fis-4859	89	4	and	and	CCONJ
fis-4859	89	5	(	(	PUNCT
fis-4859	89	6	8)	8)	NUM
fis-4859	89	7	,	,	PUNCT
fis-4859	89	8	we	we	PRON
fis-4859	89	9	need	need	VERB
fis-4859	89	10	w.	w.	PROPN
fis-4859	89	11	it	it	PRON
fis-4859	89	12	is	be	AUX
fis-4859	89	13	either	either	CCONJ
fis-4859	89	14	measured	measure	VERB
fis-4859	89	15	in	in	ADP
fis-4859	89	16	the	the	DET
fis-4859	89	17	unloaded	unloaded	ADJ
fis-4859	89	18	state	state	NOUN
fis-4859	89	19	,	,	PUNCT
fis-4859	89	20	or	or	CCONJ
fis-4859	89	21	in	in	ADP
fis-4859	89	22	the	the	DET
fis-4859	89	23	case	case	NOUN
fis-4859	89	24	of	of	ADP
fis-4859	89	25	simple	simple	ADJ
fis-4859	89	26	geometries	geometry	NOUN
fis-4859	89	27	,	,	PUNCT
fis-4859	89	28	it	it	PRON
fis-4859	89	29	is	be	AUX
fis-4859	89	30	known	know	VERB
fis-4859	89	31	a	a	DET
fis-4859	89	32	-	-	PUNCT
fis-4859	89	33	priori	priori	ADV
fis-4859	89	34	,	,	PUNCT
fis-4859	89	35	as	as	SCONJ
fis-4859	89	36	it	it	PRON
fis-4859	89	37	is	be	AUX
fis-4859	89	38	given	give	VERB
fis-4859	89	39	for	for	ADP
fis-4859	89	40	a	a	DET
fis-4859	89	41	cylinder	cylinder	NOUN
fis-4859	89	42	(	(	PUNCT
fis-4859	89	43	with	with	ADP
fis-4859	89	44	a	a	DET
fis-4859	89	45	horizontal	horizontal	ADJ
fis-4859	89	46	crack	crack	NOUN
fis-4859	89	47	)	)	PUNCT
fis-4859	89	48	in	in	ADP
fis-4859	89	49	eqn	eqn	NOUN
fis-4859	89	50	.	.	PUNCT
fis-4859	90	1	(	(	PUNCT
fis-4859	90	2	9	9	NUM
fis-4859	90	3	)	)	PUNCT
fis-4859	90	4	or	or	CCONJ
fis-4859	90	5	for	for	ADP
fis-4859	90	6	the	the	DET
fis-4859	90	7	sphere	sphere	NOUN
fis-4859	90	8	in	in	ADP
fis-4859	90	9	eqn	eqn	NOUN
fis-4859	90	10	.	.	PUNCT
fis-4859	91	1	(	(	PUNCT
fis-4859	91	2	10	10	NUM
fis-4859	91	3	)	)	PUNCT
fis-4859	91	4	.	.	PUNCT
fis-4859	92	1	the	the	DET
fis-4859	92	2	values	value	NOUN
fis-4859	92	3	of	of	ADP
fis-4859	92	4	the	the	DET
fis-4859	92	5	equivalent	equivalent	ADJ
fis-4859	92	6	displacements	displacement	NOUN
fis-4859	92	7	(	(	PUNCT
fis-4859	92	8	u	u	NOUN
fis-4859	92	9	 	 	SPACE
fis-4859	92	10	,	,	PUNCT
fis-4859	92	11	v	v	NOUN
fis-4859	92	12	)	)	PUNCT
fis-4859	92	13	are	be	AUX
fis-4859	92	14	stored	store	VERB
fis-4859	92	15	in	in	ADP
fis-4859	92	16	the	the	DET
fis-4859	92	17	vectors	vector	NOUN
fis-4859	92	18	u	u	NOUN
fis-4859	92	19	and	and	CCONJ
fis-4859	92	20	v	v	NOUN
fis-4859	92	21	.	.	PUNCT
fis-4859	93	1	tangent	tangent	PROPN
fis-4859	93	2	plane	plane	NOUN
fis-4859	93	3	x	x	PROPN
fis-4859	93	4	y	y	PROPN
fis-4859	93	5	z	z	NOUN
fis-4859	93	6	o	o	NOUN
fis-4859	93	7	curved	curved	ADJ
fis-4859	93	8	surface	surface	NOUN
fis-4859	94	1	k	k	PROPN
fis-4859	94	2	i	i	PRON
fis-4859	94	3	crack	crack	VERB
fis-4859	94	4	j	j	NOUN
fis-4859	94	5	cracking	crack	VERB
fis-4859	94	6	direction	direction	NOUN
fis-4859	94	7	normal	normal	ADJ
fis-4859	94	8	vector	vector	NOUN
fis-4859	94	9	(	(	PUNCT
fis-4859	94	10	a	a	NOUN
fis-4859	94	11	)	)	PUNCT
fis-4859	94	12	(	(	PUNCT
fis-4859	94	13	b	b	X
fis-4859	94	14	)	)	PUNCT
fis-4859	94	15	(	(	PUNCT
fis-4859	94	16	c	c	X
fis-4859	94	17	)	)	PUNCT
fis-4859	94	18	θ	θ	PROPN
fis-4859	95	1	i	i	PRON
fis-4859	95	2	j	j	NOUN
fis-4859	96	1	r	r	NOUN
fis-4859	96	2	a	a	DET
fis-4859	96	3	o	o	NOUN
fis-4859	96	4	data	data	NOUN
fis-4859	96	5	point	point	NOUN
fis-4859	97	1	i	i	PRON
fis-4859	97	2	j	j	NOUN
fis-4859	97	3	rs	rs	INTJ
fis-4859	97	4	2	2	NUM
fis-4859	97	5	o	o	NOUN
fis-4859	97	6	rs	rs	NOUN
fis-4859	97	7	1	1	NUM
fis-4859	97	8	figure	figure	NOUN
fis-4859	97	9	2	2	NUM
fis-4859	97	10	:	:	PUNCT
fis-4859	97	11	projection	projection	NOUN
fis-4859	97	12	of	of	ADP
fis-4859	97	13	the	the	DET
fis-4859	97	14	displacements	displacement	NOUN
fis-4859	97	15	and	and	CCONJ
fis-4859	97	16	selection	selection	NOUN
fis-4859	97	17	of	of	ADP
fis-4859	97	18	data	datum	NOUN
fis-4859	97	19	points	point	NOUN
fis-4859	97	20	on	on	ADP
fis-4859	97	21	the	the	DET
fis-4859	97	22	tangent	tangent	ADJ
fis-4859	97	23	plane	plane	NOUN
fis-4859	97	24	.	.	PUNCT
fis-4859	98	1	(	(	PUNCT
fis-4859	98	2	a	a	X
fis-4859	98	3	)	)	PUNCT
fis-4859	98	4	placement	placement	NOUN
fis-4859	98	5	of	of	ADP
fis-4859	98	6	the	the	DET
fis-4859	98	7	tangent	tangent	ADJ
fis-4859	98	8	plane	plane	NOUN
fis-4859	98	9	and	and	CCONJ
fis-4859	98	10	the	the	DET
fis-4859	98	11	local	local	ADJ
fis-4859	98	12	basis	basis	NOUN
fis-4859	98	13	(	(	PUNCT
fis-4859	98	14	i	i	PROPN
fis-4859	98	15	,	,	PUNCT
fis-4859	98	16	j	j	PROPN
fis-4859	98	17	,	,	PUNCT
fis-4859	98	18	k	k	PROPN
fis-4859	98	19	)	)	PUNCT
fis-4859	98	20	.	.	PUNCT
fis-4859	99	1	(	(	PUNCT
fis-4859	99	2	b	b	X
fis-4859	99	3	)	)	PUNCT
fis-4859	99	4	the	the	DET
fis-4859	99	5	local	local	ADJ
fis-4859	99	6	basis	basis	NOUN
fis-4859	99	7	and	and	CCONJ
fis-4859	99	8	the	the	DET
fis-4859	99	9	applied	apply	VERB
fis-4859	99	10	polar	polar	ADJ
fis-4859	99	11	coordinates	coordinate	NOUN
fis-4859	99	12	at	at	ADP
fis-4859	99	13	the	the	DET
fis-4859	99	14	crack	crack	NOUN
fis-4859	99	15	tip	tip	NOUN
fis-4859	99	16	.	.	PUNCT
fis-4859	100	1	(	(	PUNCT
fis-4859	100	2	c	c	X
fis-4859	100	3	)	)	PUNCT
fis-4859	100	4	data	datum	NOUN
fis-4859	100	5	selection	selection	NOUN
fis-4859	100	6	ring	ring	NOUN
fis-4859	100	7	with	with	ADP
fis-4859	100	8	the	the	DET
fis-4859	100	9	radius	radius	NOUN
fis-4859	100	10	rs	rs	NOUN
fis-4859	100	11	.	.	PUNCT
fis-4859	101	1	then	then	ADV
fis-4859	101	2	,	,	PUNCT
fis-4859	101	3	with	with	ADP
fis-4859	101	4	the	the	DET
fis-4859	101	5	equivalent	equivalent	ADJ
fis-4859	101	6	2d	2d	PROPN
fis-4859	101	7	displacement	displacement	ADJ
fis-4859	101	8	component	component	NOUN
fis-4859	101	9	vectors	vector	NOUN
fis-4859	101	10	u	u	NOUN
fis-4859	101	11	and	and	CCONJ
fis-4859	101	12	v	v	NOUN
fis-4859	101	13	,	,	PUNCT
fis-4859	101	14	the	the	DET
fis-4859	101	15	computation	computation	NOUN
fis-4859	101	16	of	of	ADP
fis-4859	101	17	the	the	DET
fis-4859	101	18	stress	stress	NOUN
fis-4859	101	19	intensity	intensity	NOUN
fis-4859	101	20	factor	factor	NOUN
fis-4859	101	21	can	can	AUX
fis-4859	101	22	be	be	AUX
fis-4859	101	23	carried	carry	VERB
fis-4859	101	24	out	out	ADP
fis-4859	101	25	via	via	ADP
fis-4859	101	26	the	the	DET
fis-4859	101	27	williams	williams	PROPN
fis-4859	101	28	expansion	expansion	NOUN
fis-4859	102	1	[	[	X
fis-4859	102	2	23	23	NUM
fis-4859	102	3	]	]	PUNCT
fis-4859	102	4	.	.	PUNCT
fis-4859	103	1	as	as	ADP
fis-4859	103	2	fig	fig	NOUN
fis-4859	103	3	.	.	PUNCT
fis-4859	103	4	2	2	NUM
fis-4859	103	5	(	(	PUNCT
fis-4859	103	6	b	b	NOUN
fis-4859	103	7	)	)	PUNCT
fis-4859	103	8	shows	show	NOUN
fis-4859	103	9	,	,	PUNCT
fis-4859	103	10	the	the	DET
fis-4859	103	11	i	i	NOUN
fis-4859	103	12	-	-	PUNCT
fis-4859	103	13	axis	axis	NOUN
fis-4859	103	14	of	of	ADP
fis-4859	103	15	the	the	DET
fis-4859	103	16	local	local	ADJ
fis-4859	103	17	basis	basis	NOUN
fis-4859	103	18	is	be	AUX
fis-4859	103	19	aligned	align	VERB
fis-4859	103	20	with	with	ADP
fis-4859	103	21	the	the	DET
fis-4859	103	22	s.	s.	PROPN
fis-4859	103	23	cao	cao	PROPN
fis-4859	103	24	et	et	PROPN
fis-4859	103	25	alii	alii	PROPN
fis-4859	103	26	,	,	PUNCT
fis-4859	103	27	frattura	frattura	PROPN
fis-4859	103	28	ed	ed	PROPN
fis-4859	103	29	integrità	integrità	PROPN
fis-4859	103	30	strutturale	strutturale	PROPN
fis-4859	103	31	,	,	PUNCT
fis-4859	103	32	69	69	NUM
fis-4859	103	33	(	(	PUNCT
fis-4859	103	34	2024	2024	NUM
fis-4859	103	35	)	)	PUNCT
fis-4859	103	36	1	1	NUM
fis-4859	103	37	-	-	SYM
fis-4859	103	38	17	17	NUM
fis-4859	103	39	;	;	PUNCT
fis-4859	103	40	doi	doi	NOUN
fis-4859	103	41	:	:	PUNCT
fis-4859	103	42	10.3221	10.3221	NUM
fis-4859	103	43	/	/	SYM
fis-4859	103	44	igf	igf	NOUN
fis-4859	103	45	-	-	PUNCT
fis-4859	103	46	esis.69.01	esis.69.01	NOUN
fis-4859	103	47	5	5	NUM
fis-4859	103	48	extending	extend	VERB
fis-4859	103	49	direction	direction	NOUN
fis-4859	103	50	,	,	PUNCT
fis-4859	103	51	i.e.	i.e.	X
fis-4859	103	52	,	,	PUNCT
fis-4859	103	53	the	the	DET
fis-4859	103	54	tangent	tangent	ADJ
fis-4859	103	55	vector	vector	NOUN
fis-4859	103	56	of	of	ADP
fis-4859	103	57	the	the	DET
fis-4859	103	58	crack	crack	NOUN
fis-4859	103	59	’s	’s	PART
fis-4859	103	60	curve	curve	NOUN
fis-4859	103	61	.	.	PUNCT
fis-4859	104	1	the	the	DET
fis-4859	104	2	polar	polar	ADJ
fis-4859	104	3	coordinates	coordinate	NOUN
fis-4859	104	4	with	with	ADP
fis-4859	104	5	angle	angle	NOUN
fis-4859	104	6	θ	θ	PROPN
fis-4859	104	7	and	and	CCONJ
fis-4859	104	8	radius	radius	NOUN
fis-4859	104	9	r	r	NOUN
fis-4859	104	10	are	be	AUX
fis-4859	104	11	introduced	introduce	VERB
fis-4859	104	12	.	.	PUNCT
fis-4859	105	1	on	on	ADP
fis-4859	105	2	the	the	DET
fis-4859	105	3	data	datum	NOUN
fis-4859	105	4	selection	selection	NOUN
fis-4859	105	5	ring	ring	NOUN
fis-4859	105	6	around	around	ADP
fis-4859	105	7	the	the	DET
fis-4859	105	8	crack	crack	NOUN
fis-4859	105	9	tip	tip	NOUN
fis-4859	105	10	,	,	PUNCT
fis-4859	105	11	the	the	DET
fis-4859	105	12	displacement	displacement	ADJ
fis-4859	105	13	components	component	NOUN
fis-4859	105	14	u	u	NOUN
fis-4859	105	15	and	and	CCONJ
fis-4859	105	16	v	v	NOUN
fis-4859	105	17	are	be	AUX
fis-4859	105	18	determined	determine	VERB
fis-4859	105	19	from	from	ADP
fis-4859	105	20	the	the	DET
fis-4859	105	21	displacement	displacement	ADJ
fis-4859	105	22	component	component	NOUN
fis-4859	105	23	vectors	vector	NOUN
fis-4859	105	24	u	u	NOUN
fis-4859	105	25	and	and	CCONJ
fis-4859	105	26	v	v	NOUN
fis-4859	105	27	by	by	ADP
fis-4859	105	28	interpolation	interpolation	NOUN
fis-4859	105	29	.	.	PUNCT
fis-4859	106	1	note	note	VERB
fis-4859	106	2	that	that	SCONJ
fis-4859	106	3	the	the	DET
fis-4859	106	4	number	number	NOUN
fis-4859	106	5	of	of	ADP
fis-4859	106	6	data	datum	NOUN
fis-4859	106	7	points	point	NOUN
fis-4859	106	8	dn	dn	NOUN
fis-4859	106	9	and	and	CCONJ
fis-4859	106	10	the	the	DET
fis-4859	106	11	ring	ring	NOUN
fis-4859	106	12	radius	radius	NOUN
fis-4859	106	13	rs	rs	NOUN
fis-4859	106	14	are	be	AUX
fis-4859	106	15	free	free	ADJ
fis-4859	106	16	parameters	parameter	NOUN
fis-4859	106	17	in	in	ADP
fis-4859	106	18	the	the	DET
fis-4859	106	19	method	method	NOUN
fis-4859	106	20	and	and	CCONJ
fis-4859	106	21	affect	affect	VERB
fis-4859	106	22	the	the	DET
fis-4859	106	23	convergence	convergence	NOUN
fis-4859	106	24	rate	rate	NOUN
fis-4859	106	25	(	(	PUNCT
fis-4859	106	26	see	see	VERB
fis-4859	106	27	later	later	ADV
fis-4859	106	28	)	)	PUNCT
fis-4859	106	29	.	.	PUNCT
fis-4859	107	1	then	then	ADV
fis-4859	107	2	,	,	PUNCT
fis-4859	107	3	the	the	DET
fis-4859	107	4	in	in	ADP
fis-4859	107	5	-	-	PUNCT
fis-4859	107	6	plane	plane	NOUN
fis-4859	107	7	displacement	displacement	NOUN
fis-4859	107	8	field	field	NOUN
fis-4859	107	9	around	around	ADP
fis-4859	107	10	any	any	DET
fis-4859	107	11	crack	crack	NOUN
fis-4859	107	12	can	can	AUX
fis-4859	107	13	be	be	AUX
fis-4859	107	14	expressed	express	VERB
fis-4859	107	15	with	with	ADP
fis-4859	107	16	the	the	DET
fis-4859	107	17	help	help	NOUN
fis-4859	107	18	of	of	ADP
fis-4859	107	19	the	the	DET
fis-4859	107	20	following	follow	VERB
fis-4859	107	21	williams	williams	PROPN
fis-4859	107	22	expansion	expansion	NOUN
fis-4859	107	23	:	:	PUNCT
fis-4859	107	24	/2	/2	PROPN
fis-4859	107	25	0	0	NUM
fis-4859	108	1	/2	/2	NUM
fis-4859	108	2	0	0	NUM
fis-4859	109	1	(	(	PUNCT
fis-4859	109	2	1	1	NUM
fis-4859	109	3	)	)	PUNCT
fis-4859	109	4	cos	cos	PROPN
fis-4859	109	5	cos	cos	PROPN
fis-4859	109	6	(	(	PUNCT
fis-4859	109	7	2	2	NUM
fis-4859	109	8	)	)	SYM
fis-4859	109	9	2	2	NUM
fis-4859	109	10	2	2	NUM
fis-4859	109	11	2	2	NUM
fis-4859	109	12	2	2	NUM
fis-4859	109	13	2	2	NUM
fis-4859	109	14	(	(	PUNCT
fis-4859	109	15	1	1	NUM
fis-4859	109	16	)	)	PUNCT
fis-4859	109	17	sin	sin	NOUN
fis-4859	109	18	sin	sin	NOUN
fis-4859	109	19	(	(	PUNCT
fis-4859	109	20	2	2	NUM
fis-4859	109	21	)	)	PUNCT
fis-4859	109	22	2	2	NUM
fis-4859	109	23	2	2	NUM
fis-4859	109	24	2	2	NUM
fis-4859	109	25	2	2	NUM
fis-4859	109	26	(	(	PUNCT
fis-4859	109	27	1	1	NUM
fis-4859	109	28	)	)	PUNCT
fis-4859	109	29	sin	sin	NOUN
fis-4859	109	30	sin	sin	NOUN
fis-4859	109	31	(	(	PUNCT
fis-4859	109	32	2	2	NUM
fis-4859	109	33	)	)	PUNCT
fis-4859	109	34	2	2	NUM
fis-4859	109	35	2	2	NUM
fis-4859	109	36	2	2	NUM
fis-4859	109	37	2	2	NUM
fis-4859	109	38	2	2	NUM
fis-4859	109	39	(	(	PUNCT
fis-4859	109	40	1	1	NUM
fis-4859	109	41	)	)	PUNCT
fis-4859	109	42	cos	cos	PROPN
fis-4859	109	43	cos	cos	PROPN
fis-4859	109	44	(	(	PUNCT
fis-4859	109	45	2	2	NUM
fis-4859	109	46	)	)	SYM
fis-4859	109	47	2	2	NUM
fis-4859	109	48	2	2	NUM
fis-4859	109	49	2	2	NUM
fis-4859	109	50	2	2	NUM
fis-4859	109	51	n	n	PROPN
fis-4859	109	52	nn	nn	PROPN
fis-4859	109	53	nn	nn	PROPN
fis-4859	109	54	n	n	CCONJ
fis-4859	109	55	nn	nn	PROPN
fis-4859	109	56	nn	nn	PROPN
fis-4859	109	57	n	n	PROPN
fis-4859	109	58	n	n	CCONJ
fis-4859	109	59	n	n	CCONJ
fis-4859	109	60	n	n	CCONJ
fis-4859	109	61	u	u	NOUN
fis-4859	109	62	a	a	DET
fis-4859	109	63	r	r	NOUN
fis-4859	109	64	v	v	NOUN
fis-4859	109	65	g	g	NOUN
fis-4859	109	66	n	n	CCONJ
fis-4859	109	67	n	n	CCONJ
fis-4859	109	68	n	n	CCONJ
fis-4859	109	69	n	n	CCONJ
fis-4859	109	70	n	n	CCONJ
fis-4859	109	71	n	n	CCONJ
fis-4859	109	72	n	n	CCONJ
fis-4859	109	73	n	n	NOUN
fis-4859	109	74	b	b	NOUN
fis-4859	109	75	r	r	NOUN
fis-4859	109	76	g	g	PROPN
fis-4859	109	77	n	n	CCONJ
fis-4859	109	78	n	n	CCONJ
fis-4859	109	79	n	n	CCONJ
fis-4859	109	80	n	n	NOUN
fis-4859	109	81	κ	κ	NOUN
fis-4859	109	82	θ	θ	X
fis-4859	109	83	θ	θ	NOUN
fis-4859	109	84	κ	κ	NOUN
fis-4859	109	85	θ	θ	X
fis-4859	109	86	θ	θ	NOUN
fis-4859	109	87	κ	κ	NOUN
fis-4859	109	88	θ	θ	X
fis-4859	109	89	θ	θ	NOUN
fis-4859	109	90	κ	κ	NOUN
fis-4859	109	91	θ	θ	NOUN
fis-4859	109	92	θ	θ	NOUN
fis-4859	109	93	∞	∞	NUM
fis-4859	109	94	=	=	SYM
fis-4859	110	1	∞	∞	NUM
fis-4859	110	2	=	=	PUNCT
fis-4859	110	3			VERB
fis-4859	110	4			NOUN
fis-4859	110	5	+	+	NOUN
fis-4859	111	1	+	+	CCONJ
fis-4859	111	2	−	−	PROPN
fis-4859	111	3	−	−	PROPN
fis-4859	111	4	−	−	PROPN
fis-4859	111	5			PROPN
fis-4859	111	6			PUNCT
fis-4859	111	7			PROPN
fis-4859	111	8			NOUN
fis-4859	111	9			PUNCT
fis-4859	112	1	=	=	PRON
fis-4859	112	2			VERB
fis-4859	112	3			ADP
fis-4859	112	4			PROPN
fis-4859	112	5			NOUN
fis-4859	112	6			PUNCT
fis-4859	112	7			NOUN
fis-4859	112	8			NOUN
fis-4859	112	9	−	−	NOUN
fis-4859	112	10	−	−	PROPN
fis-4859	113	1	−	−	PROPN
fis-4859	114	1	+	+	CCONJ
fis-4859	114	2	−	−	PROPN
fis-4859	114	3			PRON
fis-4859	114	4			NOUN
fis-4859	114	5			DET
fis-4859	114	6			NOUN
fis-4859	114	7			NOUN
fis-4859	114	8			NOUN
fis-4859	114	9	−	−	NOUN
fis-4859	114	10	−	−	PROPN
fis-4859	115	1	+	+	CCONJ
fis-4859	115	2	−	−	PROPN
fis-4859	116	1	+	+	CCONJ
fis-4859	117	1	−	−	ADJ
fis-4859	117	2			ADJ
fis-4859	117	3	+	+	NOUN
fis-4859	117	4			PRON
fis-4859	117	5			PROPN
fis-4859	117	6			NOUN
fis-4859	117	7			ADP
fis-4859	117	8	−	−	PROPN
fis-4859	118	1	+	+	CCONJ
fis-4859	118	2	−	−	PROPN
fis-4859	119	1	+	+	CCONJ
fis-4859	119	2	−	−	PROPN
fis-4859	119	3			PROPN
fis-4859	119	4			ADP
fis-4859	119	5	∑	∑	PROPN
fis-4859	119	6	∑	∑	PROPN
fis-4859	119	7			PROPN
fis-4859	119	8			PROPN
fis-4859	119	9			PROPN
fis-4859	119	10	(	(	PUNCT
fis-4859	119	11	12	12	NUM
fis-4859	119	12	)	)	PUNCT
fis-4859	119	13	where	where	SCONJ
fis-4859	119	14	g	g	PROPN
fis-4859	119	15	is	be	AUX
fis-4859	119	16	the	the	DET
fis-4859	119	17	material	material	NOUN
fis-4859	119	18	’s	’s	PART
fis-4859	119	19	shear	shear	NOUN
fis-4859	119	20	modulus	modulus	NOUN
fis-4859	119	21	,	,	PUNCT
fis-4859	119	22	u	u	NOUN
fis-4859	119	23	and	and	CCONJ
fis-4859	119	24	v	v	NOUN
fis-4859	119	25	are	be	AUX
fis-4859	119	26	the	the	DET
fis-4859	119	27	i	i	PROPN
fis-4859	119	28	and	and	CCONJ
fis-4859	119	29	j	j	PROPN
fis-4859	119	30	-	-	PUNCT
fis-4859	119	31	directed	direct	VERB
fis-4859	119	32	displacement	displacement	ADJ
fis-4859	119	33	components	component	NOUN
fis-4859	119	34	.	.	PUNCT
fis-4859	120	1	κ=(3	κ=(3	NOUN
fis-4859	120	2	-	-	PUNCT
fis-4859	120	3	ν)/(1+ν	ν)/(1+ν	NOUN
fis-4859	120	4	)	)	PUNCT
fis-4859	120	5	for	for	ADP
fis-4859	120	6	plane	plane	NOUN
fis-4859	120	7	stress	stress	NOUN
fis-4859	120	8	.	.	PUNCT
fis-4859	121	1	an	an	PRON
fis-4859	121	2	and	and	CCONJ
fis-4859	121	3	bn	bn	NOUN
fis-4859	121	4	are	be	AUX
fis-4859	121	5	the	the	DET
fis-4859	121	6	coefficients	coefficient	NOUN
fis-4859	121	7	of	of	ADP
fis-4859	121	8	the	the	DET
fis-4859	121	9	williams	williams	PROPN
fis-4859	121	10	expansion	expansion	NOUN
fis-4859	121	11	.	.	PUNCT
fis-4859	122	1	in	in	ADP
fis-4859	122	2	specific	specific	ADJ
fis-4859	122	3	,	,	PUNCT
fis-4859	122	4	four	four	NUM
fis-4859	122	5	coefficients	coefficient	NOUN
fis-4859	122	6	among	among	ADP
fis-4859	122	7	an	an	PRON
fis-4859	122	8	and	and	CCONJ
fis-4859	122	9	bn	bn	NOUN
fis-4859	122	10	are	be	AUX
fis-4859	122	11	essential	essential	ADJ
fis-4859	122	12	for	for	ADP
fis-4859	122	13	fracture	fracture	NOUN
fis-4859	122	14	mechanics	mechanic	NOUN
fis-4859	123	1	[	[	X
fis-4859	123	2	42	42	NUM
fis-4859	123	3	]	]	PUNCT
fis-4859	123	4	:	:	PUNCT
fis-4859	123	5	(	(	PUNCT
fis-4859	123	6	)	)	PUNCT
fis-4859	123	7	0	0	NUM
fis-4859	123	8	0	0	NUM
fis-4859	124	1	i	i	NOUN
fis-4859	124	2	1	1	NUM
fis-4859	124	3	0	0	NUM
fis-4859	124	4	0	0	NUM
fis-4859	124	5	ii	ii	NUM
fis-4859	124	6	1	1	NUM
fis-4859	124	7	2	2	NUM
fis-4859	124	8	2	2	NUM
fis-4859	124	9	1	1	NUM
fis-4859	124	10	2	2	NUM
fis-4859	124	11	2	2	NUM
fis-4859	124	12	1	1	NUM
fis-4859	124	13	2	2	NUM
fis-4859	124	14	2	2	NUM
fis-4859	124	15	/	/	SYM
fis-4859	124	16	1c	1c	NUM
fis-4859	124	17	u	u	NOUN
fis-4859	124	18	g	g	PROPN
fis-4859	124	19	a	a	DET
fis-4859	124	20	ka	ka	PROPN
fis-4859	124	21	v	v	ADP
fis-4859	124	22	g	g	PROPN
fis-4859	124	23	b	b	PROPN
fis-4859	124	24	kb	kb	PROPN
fis-4859	124	25	b	b	PROPN
fis-4859	124	26	g	g	NOUN
fis-4859	124	27	κ	κ	PROPN
fis-4859	124	28	π	π	PROPN
fis-4859	124	29	κ	κ	PROPN
fis-4859	124	30	π	π	X
fis-4859	124	31	ϕ	ϕ	NOUN
fis-4859	124	32	κ	κ	X
fis-4859	124	33	=	=	PUNCT
fis-4859	124	34	+	+	NUM
fis-4859	124	35	=	=	SYM
fis-4859	124	36	=	=	SYM
fis-4859	125	1	+	+	NUM
fis-4859	125	2	=	=	SYM
fis-4859	125	3	−	−	PROPN
fis-4859	125	4	=	=	SYM
fis-4859	125	5	−	−	PROPN
fis-4859	126	1	+	+	CCONJ
fis-4859	126	2	(	(	PUNCT
fis-4859	126	3	13	13	NUM
fis-4859	126	4	)	)	PUNCT
fis-4859	126	5	here	here	ADV
fis-4859	126	6	u0	u0	PROPN
fis-4859	126	7	and	and	CCONJ
fis-4859	126	8	v0	v0	NOUN
fis-4859	126	9	are	be	AUX
fis-4859	126	10	the	the	DET
fis-4859	126	11	rigid	rigid	ADJ
fis-4859	126	12	body	body	NOUN
fis-4859	126	13	displacement	displacement	NOUN
fis-4859	126	14	,	,	PUNCT
fis-4859	126	15	φc	φc	PROPN
fis-4859	126	16	is	be	AUX
fis-4859	126	17	the	the	DET
fis-4859	126	18	rigid	rigid	ADJ
fis-4859	126	19	body	body	NOUN
fis-4859	126	20	rotation	rotation	NOUN
fis-4859	126	21	to	to	ADP
fis-4859	126	22	the	the	DET
fis-4859	126	23	crack	crack	NOUN
fis-4859	126	24	tip	tip	NOUN
fis-4859	126	25	,	,	PUNCT
fis-4859	126	26	and	and	CCONJ
fis-4859	126	27	ki	ki	PROPN
fis-4859	126	28	and	and	CCONJ
fis-4859	126	29	kii	kii	PROPN
fis-4859	126	30	are	be	AUX
fis-4859	126	31	the	the	DET
fis-4859	126	32	stress	stress	NOUN
fis-4859	126	33	intensity	intensity	NOUN
fis-4859	126	34	factors	factor	NOUN
fis-4859	126	35	for	for	ADP
fis-4859	126	36	mode	mode	NOUN
fis-4859	127	1	i	i	PRON
fis-4859	127	2	and	and	CCONJ
fis-4859	127	3	mode	mode	PROPN
fis-4859	127	4	ii	ii	PROPN
fis-4859	127	5	cracks	crack	NOUN
fis-4859	127	6	,	,	PUNCT
fis-4859	127	7	respectively	respectively	ADV
fis-4859	127	8	.	.	PUNCT
fis-4859	128	1	for	for	ADP
fis-4859	128	2	details	detail	NOUN
fis-4859	128	3	,	,	PUNCT
fis-4859	128	4	we	we	PRON
fis-4859	128	5	refer	refer	VERB
fis-4859	128	6	to	to	ADP
fis-4859	128	7	[	[	PUNCT
fis-4859	128	8	42	42	NUM
fis-4859	128	9	-	-	SYM
fis-4859	128	10	44	44	NUM
fis-4859	128	11	]	]	PUNCT
fis-4859	128	12	.	.	PUNCT
fis-4859	129	1	in	in	ADP
fis-4859	129	2	this	this	DET
fis-4859	129	3	paper	paper	NOUN
fis-4859	129	4	,	,	PUNCT
fis-4859	129	5	we	we	PRON
fis-4859	129	6	study	study	VERB
fis-4859	129	7	a	a	DET
fis-4859	129	8	problem	problem	NOUN
fis-4859	129	9	where	where	SCONJ
fis-4859	129	10	a	a	DET
fis-4859	129	11	mode	mode	NOUN
fis-4859	129	12	i	i	PRON
fis-4859	129	13	crack	crack	VERB
fis-4859	129	14	is	be	AUX
fis-4859	129	15	dominant	dominant	ADJ
fis-4859	129	16	[	[	PUNCT
fis-4859	129	17	38	38	NUM
fis-4859	129	18	]	]	PUNCT
fis-4859	129	19	;	;	PUNCT
fis-4859	129	20	hence	hence	ADV
fis-4859	129	21	,	,	PUNCT
fis-4859	129	22	we	we	PRON
fis-4859	129	23	aim	aim	VERB
fis-4859	129	24	to	to	PART
fis-4859	129	25	approximate	approximate	VERB
fis-4859	129	26	a1	a1	NOUN
fis-4859	129	27	,	,	PUNCT
fis-4859	129	28	and	and	CCONJ
fis-4859	129	29	consequently	consequently	ADV
fis-4859	129	30	,	,	PUNCT
fis-4859	129	31	ki	ki	PROPN
fis-4859	129	32	can	can	AUX
fis-4859	129	33	be	be	AUX
fis-4859	129	34	computed	compute	VERB
fis-4859	129	35	by	by	ADP
fis-4859	129	36	eqn	eqn	NOUN
fis-4859	129	37	.	.	PUNCT
fis-4859	130	1	(	(	PUNCT
fis-4859	130	2	13	13	NUM
fis-4859	130	3	)	)	PUNCT
fis-4859	130	4	.	.	PUNCT
fis-4859	131	1	the	the	DET
fis-4859	131	2	tn	tn	NOUN
fis-4859	131	3	number	number	NOUN
fis-4859	131	4	of	of	ADP
fis-4859	131	5	terms	term	NOUN
fis-4859	131	6	in	in	ADP
fis-4859	131	7	the	the	DET
fis-4859	131	8	truncated	truncate	VERB
fis-4859	131	9	williams	williams	PROPN
fis-4859	131	10	expansion	expansion	NOUN
fis-4859	131	11	should	should	AUX
fis-4859	131	12	be	be	AUX
fis-4859	131	13	sufficiently	sufficiently	ADV
fis-4859	131	14	large	large	ADJ
fis-4859	131	15	to	to	PART
fis-4859	131	16	calculate	calculate	VERB
fis-4859	131	17	the	the	DET
fis-4859	131	18	sif	sif	NOUN
fis-4859	131	19	with	with	ADP
fis-4859	131	20	high	high	ADJ
fis-4859	131	21	precision	precision	NOUN
fis-4859	131	22	.	.	PUNCT
fis-4859	132	1	nonetheless	nonetheless	ADV
fis-4859	132	2	,	,	PUNCT
fis-4859	132	3	the	the	DET
fis-4859	132	4	dn	dn	ADJ
fis-4859	132	5	number	number	NOUN
fis-4859	132	6	of	of	ADP
fis-4859	132	7	data	datum	NOUN
fis-4859	132	8	points	point	NOUN
fis-4859	132	9	should	should	AUX
fis-4859	132	10	be	be	AUX
fis-4859	132	11	equal	equal	ADJ
fis-4859	132	12	to	to	ADP
fis-4859	132	13	or	or	CCONJ
fis-4859	132	14	exceed	exceed	VERB
fis-4859	132	15	(	(	PUNCT
fis-4859	132	16	tn+1	tn+1	NOUN
fis-4859	132	17	)	)	PUNCT
fis-4859	133	1	[	[	X
fis-4859	133	2	42,23	42,23	NUM
fis-4859	133	3	]	]	X
fis-4859	133	4	:	:	PUNCT
fis-4859	133	5	n	n	CCONJ
fis-4859	133	6	n	n	PRON
fis-4859	133	7	1d	1d	NUM
fis-4859	133	8	t≥	t≥	NOUN
fis-4859	133	9	+	+	CCONJ
fis-4859	133	10	(	(	PUNCT
fis-4859	133	11	14	14	NUM
fis-4859	133	12	)	)	PUNCT
fis-4859	133	13	following	follow	VERB
fis-4859	133	14	fig	fig	NOUN
fis-4859	133	15	.	.	PUNCT
fis-4859	134	1	2	2	NUM
fis-4859	134	2	(	(	PUNCT
fis-4859	134	3	c	c	NOUN
fis-4859	134	4	)	)	PUNCT
fis-4859	134	5	,	,	PUNCT
fis-4859	134	6	the	the	DET
fis-4859	134	7	local	local	ADJ
fis-4859	134	8	coordinate	coordinate	NOUN
fis-4859	134	9	basis	basis	NOUN
fis-4859	134	10	(	(	PUNCT
fis-4859	134	11	in	in	ADP
fis-4859	134	12	particular	particular	ADJ
fis-4859	134	13	,	,	PUNCT
fis-4859	134	14	the	the	DET
fis-4859	134	15	location	location	NOUN
fis-4859	134	16	of	of	ADP
fis-4859	134	17	the	the	DET
fis-4859	134	18	crack	crack	NOUN
fis-4859	134	19	tip	tip	NOUN
fis-4859	134	20	and	and	CCONJ
fis-4859	134	21	the	the	DET
fis-4859	134	22	crack	crack	NOUN
fis-4859	134	23	orientation	orientation	NOUN
fis-4859	134	24	)	)	PUNCT
fis-4859	134	25	is	be	AUX
fis-4859	134	26	detected	detect	VERB
fis-4859	134	27	and	and	CCONJ
fis-4859	134	28	corrected	correct	VERB
fis-4859	134	29	by	by	ADP
fis-4859	134	30	the	the	DET
fis-4859	134	31	user	user	NOUN
fis-4859	134	32	manually	manually	ADV
fis-4859	134	33	(	(	PUNCT
fis-4859	134	34	since	since	SCONJ
fis-4859	134	35	the	the	DET
fis-4859	134	36	notches	notch	NOUN
fis-4859	134	37	are	be	AUX
fis-4859	134	38	pre	pre	ADJ
fis-4859	134	39	-	-	ADJ
fis-4859	134	40	cut	cut	ADJ
fis-4859	134	41	,	,	PUNCT
fis-4859	134	42	these	these	DET
fis-4859	134	43	parameters	parameter	NOUN
fis-4859	134	44	are	be	AUX
fis-4859	134	45	easily	easily	ADV
fis-4859	134	46	determined	determine	VERB
fis-4859	134	47	.	.	PUNCT
fis-4859	134	48	)	)	PUNCT
fis-4859	134	49	.	.	PUNCT
fis-4859	135	1	the	the	DET
fis-4859	135	2	data	data	NOUN
fis-4859	135	3	points	point	NOUN
fis-4859	135	4	are	be	AUX
fis-4859	135	5	selected	select	VERB
fis-4859	135	6	on	on	ADP
fis-4859	135	7	data	data	NOUN
fis-4859	135	8	-	-	PUNCT
fis-4859	135	9	selecting	select	VERB
fis-4859	135	10	rings	ring	NOUN
fis-4859	135	11	surrounding	surround	VERB
fis-4859	135	12	the	the	DET
fis-4859	135	13	crack	crack	NOUN
fis-4859	135	14	tip	tip	NOUN
fis-4859	135	15	with	with	ADP
fis-4859	135	16	different	different	ADJ
fis-4859	135	17	radii	radii	PROPN
fis-4859	135	18	rs1	rs1	PROPN
fis-4859	135	19	,	,	PUNCT
fis-4859	135	20	rs2	rs2	NOUN
fis-4859	135	21	,	,	PUNCT
fis-4859	135	22	…	…	PUNCT
fis-4859	135	23	etc	etc	X
fis-4859	135	24	.	.	X
fis-4859	136	1	these	these	DET
fis-4859	136	2	radii	radius	NOUN
fis-4859	136	3	should	should	AUX
fis-4859	136	4	be	be	AUX
fis-4859	136	5	sufficiently	sufficiently	ADV
fis-4859	136	6	big	big	ADJ
fis-4859	136	7	to	to	PART
fis-4859	136	8	avoid	avoid	VERB
fis-4859	136	9	the	the	DET
fis-4859	136	10	intensively	intensively	ADV
fis-4859	136	11	nonlinear	nonlinear	ADJ
fis-4859	136	12	zone	zone	NOUN
fis-4859	136	13	around	around	ADP
fis-4859	136	14	the	the	DET
fis-4859	136	15	crack	crack	NOUN
fis-4859	136	16	tip	tip	NOUN
fis-4859	136	17	[	[	X
fis-4859	136	18	45	45	NUM
fis-4859	136	19	]	]	PUNCT
fis-4859	136	20	.	.	PUNCT
fis-4859	137	1	the	the	DET
fis-4859	137	2	size	size	NOUN
fis-4859	137	3	of	of	ADP
fis-4859	137	4	the	the	DET
fis-4859	137	5	region	region	NOUN
fis-4859	137	6	varied	varied	ADJ
fis-4859	137	7	from	from	ADP
fis-4859	137	8	specimen	speciman	NOUN
fis-4859	137	9	to	to	ADP
fis-4859	137	10	specimen	speciman	NOUN
fis-4859	137	11	and	and	CCONJ
fis-4859	137	12	can	can	AUX
fis-4859	137	13	be	be	AUX
fis-4859	137	14	determined	determine	VERB
fis-4859	137	15	from	from	ADP
fis-4859	137	16	the	the	DET
fis-4859	137	17	strain	strain	NOUN
fis-4859	137	18	-	-	PUNCT
fis-4859	137	19	field	field	NOUN
fis-4859	137	20	contour	contour	NOUN
fis-4859	137	21	obtained	obtain	VERB
fis-4859	137	22	by	by	ADP
fis-4859	137	23	the	the	DET
fis-4859	137	24	dic	dic	PROPN
fis-4859	137	25	method	method	NOUN
fis-4859	137	26	.	.	PUNCT
fis-4859	138	1	for	for	ADP
fis-4859	138	2	any	any	DET
fis-4859	138	3	data	data	NOUN
fis-4859	138	4	point	point	NOUN
fis-4859	138	5	i	i	PRON
fis-4859	138	6	,	,	PUNCT
fis-4859	138	7	the	the	DET
fis-4859	138	8	coordinates	coordinate	NOUN
fis-4859	138	9	θi	θi	PROPN
fis-4859	138	10	,	,	PUNCT
fis-4859	138	11	and	and	CCONJ
fis-4859	138	12	ri	ri	PROPN
fis-4859	138	13	are	be	AUX
fis-4859	138	14	given	give	VERB
fis-4859	138	15	by	by	ADP
fis-4859	138	16	the	the	DET
fis-4859	138	17	location	location	NOUN
fis-4859	138	18	of	of	ADP
fis-4859	138	19	the	the	DET
fis-4859	138	20	point	point	NOUN
fis-4859	138	21	,	,	PUNCT
fis-4859	138	22	and	and	CCONJ
fis-4859	138	23	its	its	PRON
fis-4859	138	24	displacements	displacement	NOUN
fis-4859	138	25	ui	ui	PROPN
fis-4859	138	26	and	and	CCONJ
fis-4859	138	27	vi	vi	PROPN
fis-4859	138	28	are	be	AUX
fis-4859	138	29	obtained	obtain	VERB
fis-4859	138	30	from	from	ADP
fis-4859	138	31	the	the	DET
fis-4859	138	32	dic	dic	PROPN
fis-4859	138	33	data	data	PROPN
fis-4859	138	34	.	.	PUNCT
fis-4859	139	1	the	the	DET
fis-4859	139	2	truncated	truncate	VERB
fis-4859	139	3	williams	williams	PROPN
fis-4859	139	4	expansion	expansion	PROPN
fis-4859	139	5	up	up	ADP
fis-4859	139	6	to	to	ADP
fis-4859	139	7	the	the	DET
fis-4859	139	8	term	term	NOUN
fis-4859	139	9	tn	tn	PROPN
fis-4859	139	10	readily	readily	ADV
fis-4859	139	11	follows	follow	VERB
fis-4859	139	12	in	in	ADP
fis-4859	139	13	a	a	DET
fis-4859	139	14	matrix	matrix	NOUN
fis-4859	139	15	form	form	NOUN
fis-4859	139	16	:	:	PUNCT
fis-4859	139	17	s.	s.	PROPN
fis-4859	139	18	cao	cao	PROPN
fis-4859	139	19	et	et	PROPN
fis-4859	139	20	alii	alii	PROPN
fis-4859	139	21	,	,	PUNCT
fis-4859	139	22	frattura	frattura	PROPN
fis-4859	139	23	ed	ed	PROPN
fis-4859	139	24	integrità	integrità	PROPN
fis-4859	139	25	strutturale	strutturale	PROPN
fis-4859	139	26	,	,	PUNCT
fis-4859	139	27	69	69	NUM
fis-4859	139	28	(	(	PUNCT
fis-4859	139	29	2024	2024	NUM
fis-4859	139	30	)	)	PUNCT
fis-4859	139	31	1	1	NUM
fis-4859	139	32	-	-	SYM
fis-4859	139	33	17	17	NUM
fis-4859	139	34	;	;	PUNCT
fis-4859	139	35	doi	doi	NOUN
fis-4859	139	36	:	:	PUNCT
fis-4859	139	37	10.3221	10.3221	NUM
fis-4859	139	38	/	/	SYM
fis-4859	139	39	igf	igf	PROPN
fis-4859	139	40	-	-	PUNCT
fis-4859	139	41	esis.69.01	esis.69.01	PROPN
fis-4859	139	42	6	6	NUM
fis-4859	139	43	(	(	PUNCT
fis-4859	139	44	)	)	PUNCT
fis-4859	139	45	(	(	PUNCT
fis-4859	139	46	)	)	PUNCT
fis-4859	139	47	(	(	PUNCT
fis-4859	139	48	)	)	PUNCT
fis-4859	139	49	(	(	PUNCT
fis-4859	139	50	)	)	PUNCT
fis-4859	139	51	(	(	PUNCT
fis-4859	139	52	)	)	PUNCT
fis-4859	139	53	(	(	PUNCT
fis-4859	139	54	)	)	PUNCT
fis-4859	139	55	(	(	PUNCT
fis-4859	139	56	)	)	PUNCT
fis-4859	139	57	(	(	PUNCT
fis-4859	139	58	)	)	PUNCT
fis-4859	139	59	(	(	PUNCT
fis-4859	139	60	)	)	PUNCT
fis-4859	139	61	(	(	PUNCT
fis-4859	139	62	)	)	PUNCT
fis-4859	139	63	(	(	PUNCT
fis-4859	139	64	)	)	PUNCT
fis-4859	139	65	(	(	PUNCT
fis-4859	139	66	)	)	PUNCT
fis-4859	139	67	(	(	PUNCT
fis-4859	139	68	)	)	PUNCT
fis-4859	139	69	(	(	PUNCT
fis-4859	139	70	)	)	PUNCT
fis-4859	139	71	(	(	PUNCT
fis-4859	139	72	)	)	PUNCT
fis-4859	139	73	(	(	PUNCT
fis-4859	139	74	)	)	PUNCT
fis-4859	140	1	0	0	NUM
fis-4859	140	2	0	0	NUM
fis-4859	140	3	1	1	NUM
fis-4859	140	4	1	1	NUM
fis-4859	140	5	n	n	NUM
fis-4859	140	6	n	n	NOUN
fis-4859	140	7	0	0	NUM
fis-4859	140	8	0	0	NUM
fis-4859	140	9	1	1	NUM
fis-4859	140	10	1	1	NUM
fis-4859	140	11	n	n	NUM
fis-4859	140	12	n	n	NOUN
fis-4859	140	13	0	0	NUM
fis-4859	140	14	n	n	CCONJ
fis-4859	140	15	n	n	NOUN
fis-4859	140	16	0	0	NUM
fis-4859	140	17	n	n	CCONJ
fis-4859	140	18	n	n	ADP
fis-4859	140	19	1	1	NUM
fis-4859	140	20	n	n	CCONJ
fis-4859	140	21	n	n	ADP
fis-4859	140	22	1	1	NUM
fis-4859	140	23	n	n	CCONJ
fis-4859	140	24	n	n	PROPN
fis-4859	140	25	nnn	nnn	NOUN
fis-4859	140	26	n	n	CCONJ
fis-4859	140	27	a	a	PRON
fis-4859	140	28	1	1	NUM
fis-4859	140	29	1	1	NUM
fis-4859	140	30	b	b	SYM
fis-4859	140	31	1	1	NUM
fis-4859	140	32	1	1	NUM
fis-4859	140	33	a	a	DET
fis-4859	140	34	1	1	NUM
fis-4859	140	35	1	1	NUM
fis-4859	140	36	b	b	SYM
fis-4859	140	37	1	1	NUM
fis-4859	140	38	1	1	NUM
fis-4859	140	39	a	a	DET
fis-4859	140	40	1	1	NUM
fis-4859	140	41	1	1	NUM
fis-4859	140	42	b	b	SYM
fis-4859	140	43	1	1	NUM
fis-4859	140	44	1	1	NUM
fis-4859	140	45	1	1	NUM
fis-4859	140	46	a	a	DET
fis-4859	140	47	2	2	NUM
fis-4859	140	48	2	2	NUM
fis-4859	140	49	b	b	NOUN
fis-4859	140	50	2	2	NUM
fis-4859	140	51	2	2	NUM
fis-4859	140	52	a	a	DET
fis-4859	140	53	2	2	NUM
fis-4859	140	54	2	2	NUM
fis-4859	140	55	b	b	NOUN
fis-4859	140	56	2	2	NUM
fis-4859	140	57	2	2	NUM
fis-4859	140	58	a	a	DET
fis-4859	140	59	2	2	NUM
fis-4859	140	60	2	2	NUM
fis-4859	140	61	b	b	NOUN
fis-4859	140	62	2	2	NUM
fis-4859	140	63	2	2	NUM
fis-4859	140	64	2	2	NUM
fis-4859	140	65	a	a	DET
fis-4859	140	66	b	b	NOUN
fis-4859	140	67	a	a	DET
fis-4859	140	68	b	b	NOUN
fis-4859	140	69	a	a	DET
fis-4859	140	70	1	1	NUM
fis-4859	140	71	2	2	NUM
fis-4859	140	72	,	,	PUNCT
fis-4859	140	73	,	,	PUNCT
fis-4859	140	74	,	,	PUNCT
fis-4859	140	75	,	,	PUNCT
fis-4859	140	76	,	,	PUNCT
fis-4859	140	77	,	,	PUNCT
fis-4859	140	78	,	,	PUNCT
fis-4859	140	79	,	,	PUNCT
fis-4859	140	80	,	,	PUNCT
fis-4859	140	81	,	,	PUNCT
fis-4859	140	82	,	,	PUNCT
fis-4859	140	83	,	,	PUNCT
fis-4859	140	84	,	,	PUNCT
fis-4859	140	85	,	,	PUNCT
fis-4859	140	86	,	,	PUNCT
fis-4859	140	87	,	,	PUNCT
fis-4859	140	88	t	t	PROPN
fis-4859	140	89	t	t	PROPN
fis-4859	140	90	t	t	PROPN
fis-4859	140	91	t	t	PROPN
fis-4859	140	92	td	td	NOUN
fis-4859	141	1	d	d	PROPN
fis-4859	141	2	d	d	PROPN
fis-4859	141	3	d	d	PROPN
fis-4859	141	4	d	d	PROPN
fis-4859	141	5	d	d	X
fis-4859	141	6	d	d	X
fis-4859	141	7	d	d	X
fis-4859	141	8	dd	dd	NOUN
fis-4859	142	1	d	d	NOUN
fis-4859	142	2	f	f	NOUN
fis-4859	142	3	r	r	NOUN
fis-4859	142	4	f	f	NOUN
fis-4859	142	5	r	r	NOUN
fis-4859	142	6	f	f	NOUN
fis-4859	142	7	r	r	NOUN
fis-4859	142	8	f	f	NOUN
fis-4859	142	9	r	r	NOUN
fis-4859	142	10	f	f	NOUN
fis-4859	142	11	r	r	NOUN
fis-4859	142	12	f	f	NOUN
fis-4859	142	13	r	r	NOUN
fis-4859	142	14	u	u	NOUN
fis-4859	142	15	f	f	NOUN
fis-4859	142	16	r	r	NOUN
fis-4859	142	17	f	f	NOUN
fis-4859	142	18	r	r	NOUN
fis-4859	142	19	f	f	NOUN
fis-4859	142	20	r	r	NOUN
fis-4859	142	21	f	f	NOUN
fis-4859	142	22	r	r	NOUN
fis-4859	142	23	f	f	NOUN
fis-4859	142	24	r	r	NOUN
fis-4859	142	25	f	f	NOUN
fis-4859	142	26	r	r	NOUN
fis-4859	142	27	u	u	NOUN
fis-4859	142	28	f	f	NOUN
fis-4859	142	29	r	r	NOUN
fis-4859	142	30	f	f	NOUN
fis-4859	142	31	r	r	NOUN
fis-4859	142	32	f	f	NOUN
fis-4859	142	33	r	r	NOUN
fis-4859	142	34	f	f	NOUN
fis-4859	142	35	r	r	NOUN
fis-4859	142	36	f	f	PROPN
fis-4859	142	37	ru	ru	NOUN
fis-4859	142	38	v	v	PROPN
fis-4859	142	39	v	v	NOUN
fis-4859	142	40	v	v	NUM
fis-4859	142	41	θ	θ	NOUN
fis-4859	142	42	θ	θ	NOUN
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fis-4859	142	52	θ	θ	NOUN
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fis-4859	142	54	θ	θ	NOUN
fis-4859	142	55	θ	θ	NOUN
fis-4859	142	56	θ	θ	NOUN
fis-4859	142	57			VERB
fis-4859	142	58			PROPN
fis-4859	142	59			ADJ
fis-4859	142	60			PROPN
fis-4859	142	61			NOUN
fis-4859	142	62			PROPN
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fis-4859	142	65			NOUN
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fis-4859	142	69	=	=	NOUN
fis-4859	142	70			PROPN
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fis-4859	142	72			NOUN
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fis-4859	142	74			NOUN
fis-4859	143	1			PROPN
fis-4859	143	2			NOUN
fis-4859	143	3			PROPN
fis-4859	143	4			NOUN
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fis-4859	143	6			ADJ
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fis-4859	143	8			NOUN
fis-4859	143	9			NOUN
fis-4859	143	10			NOUN
fis-4859	143	11			NUM
fis-4859	143	12			NUM
fis-4859	143	13			PROPN
fis-4859	143	14			PROPN
fis-4859	143	15			PROPN
fis-4859	143	16			PROPN
fis-4859	143	17			VERB
fis-4859	143	18			PROPN
fis-4859	143	19			NOUN
fis-4859	143	20			NOUN
fis-4859	143	21	(	(	PUNCT
fis-4859	143	22	)	)	PUNCT
fis-4859	143	23	(	(	PUNCT
fis-4859	143	24	)	)	PUNCT
fis-4859	143	25	(	(	PUNCT
fis-4859	143	26	)	)	PUNCT
fis-4859	143	27	(	(	PUNCT
fis-4859	143	28	)	)	PUNCT
fis-4859	143	29	(	(	PUNCT
fis-4859	143	30	)	)	PUNCT
fis-4859	143	31	(	(	PUNCT
fis-4859	143	32	)	)	PUNCT
fis-4859	143	33	(	(	PUNCT
fis-4859	143	34	)	)	PUNCT
fis-4859	143	35	(	(	PUNCT
fis-4859	143	36	)	)	PUNCT
fis-4859	143	37	(	(	PUNCT
fis-4859	143	38	)	)	PUNCT
fis-4859	143	39	(	(	PUNCT
fis-4859	143	40	)	)	PUNCT
fis-4859	143	41	(	(	PUNCT
fis-4859	143	42	)	)	PUNCT
fis-4859	143	43	(	(	PUNCT
fis-4859	143	44	)	)	PUNCT
fis-4859	143	45	(	(	PUNCT
fis-4859	143	46	)	)	PUNCT
fis-4859	143	47	(	(	PUNCT
fis-4859	143	48	)	)	PUNCT
fis-4859	143	49	(	(	PUNCT
fis-4859	143	50	)	)	PUNCT
fis-4859	143	51	(	(	PUNCT
fis-4859	143	52	)	)	PUNCT
fis-4859	143	53	(	(	PUNCT
fis-4859	143	54	)	)	PUNCT
fis-4859	143	55	(	(	PUNCT
fis-4859	143	56	)	)	PUNCT
fis-4859	143	57	(	(	PUNCT
fis-4859	143	58	)	)	PUNCT
fis-4859	143	59	(	(	PUNCT
fis-4859	143	60	)	)	PUNCT
fis-4859	143	61	n	n	CCONJ
fis-4859	143	62	n	n	CCONJ
fis-4859	143	63	nn	nn	INTJ
fis-4859	143	64	0	0	NUM
fis-4859	143	65	0	0	NUM
fis-4859	143	66	1	1	NUM
fis-4859	143	67	1	1	NUM
fis-4859	143	68	n	n	NUM
fis-4859	143	69	n	n	NOUN
fis-4859	143	70	0	0	NUM
fis-4859	143	71	0	0	NUM
fis-4859	143	72	1	1	NUM
fis-4859	143	73	1	1	NUM
fis-4859	143	74	n	n	NUM
fis-4859	143	75	n	n	NOUN
fis-4859	143	76	0	0	NUM
fis-4859	143	77	n	n	CCONJ
fis-4859	143	78	n	n	ADP
fis-4859	143	79	b	b	PROPN
fis-4859	143	80	n	n	CCONJ
fis-4859	143	81	n	n	CCONJ
fis-4859	143	82	1	1	NUM
fis-4859	143	83	n	n	CCONJ
fis-4859	143	84	n	n	ADP
fis-4859	143	85	1	1	NUM
fis-4859	143	86	n	n	CCONJ
fis-4859	143	87	n	n	CCONJ
fis-4859	143	88	n	n	CCONJ
fis-4859	143	89	n	n	CCONJ
fis-4859	143	90	n	n	CCONJ
fis-4859	143	91	n0	n0	NUM
fis-4859	143	92	n	n	CCONJ
fis-4859	143	93	n	n	PROPN
fis-4859	143	94	b	b	PROPN
fis-4859	143	95	a	a	PRON
fis-4859	143	96	1	1	NUM
fis-4859	143	97	1	1	NUM
fis-4859	143	98	b	b	SYM
fis-4859	143	99	1	1	NUM
fis-4859	143	100	1	1	NUM
fis-4859	143	101	a	a	PRON
fis-4859	143	102	1	1	NUM
fis-4859	143	103	1	1	NUM
fis-4859	143	104	b	b	SYM
fis-4859	143	105	1	1	NUM
fis-4859	143	106	1	1	NUM
fis-4859	143	107	a	a	PRON
fis-4859	143	108	1	1	NUM
fis-4859	143	109	1	1	NUM
fis-4859	143	110	b	b	SYM
fis-4859	143	111	1	1	NUM
fis-4859	143	112	1	1	NUM
fis-4859	143	113	a	a	DET
fis-4859	143	114	2	2	NUM
fis-4859	143	115	2	2	NUM
fis-4859	143	116	b	b	NOUN
fis-4859	143	117	2	2	NUM
fis-4859	143	118	2	2	NUM
fis-4859	143	119	a	a	DET
fis-4859	143	120	2	2	NUM
fis-4859	143	121	2	2	NUM
fis-4859	143	122	b	b	NOUN
fis-4859	143	123	2	2	NUM
fis-4859	143	124	2	2	NUM
fis-4859	143	125	a	a	DET
fis-4859	143	126	2	2	NUM
fis-4859	143	127	2	2	NUM
fis-4859	143	128	b	b	NOUN
fis-4859	143	129	2	2	NUM
fis-4859	143	130	2	2	NUM
fis-4859	143	131	a	a	PRON
fis-4859	143	132	a	a	DET
fis-4859	143	133	b	b	NOUN
fis-4859	143	134	a	a	DET
fis-4859	143	135	b	b	NOUN
fis-4859	143	136	,	,	PUNCT
fis-4859	143	137	,	,	PUNCT
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fis-4859	143	140	,	,	PUNCT
fis-4859	143	141	,	,	PUNCT
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fis-4859	143	143	,	,	PUNCT
fis-4859	143	144	,	,	PUNCT
fis-4859	143	145	,	,	PUNCT
fis-4859	143	146	,	,	PUNCT
fis-4859	143	147	,	,	PUNCT
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fis-4859	143	150	,	,	PUNCT
fis-4859	143	151	,	,	PUNCT
fis-4859	143	152	,	,	PUNCT
fis-4859	143	153	,	,	PUNCT
fis-4859	143	154	,	,	PUNCT
fis-4859	143	155	,	,	PUNCT
fis-4859	143	156	t	t	PROPN
fis-4859	143	157	t	t	PROPN
fis-4859	143	158	t	t	PROPN
fis-4859	143	159	t	t	PROPN
fis-4859	143	160	t	t	PROPN
fis-4859	143	161	t	t	PROPN
fis-4859	143	162	t	t	PROPN
fis-4859	144	1	d	d	X
fis-4859	144	2	d	d	PROPN
fis-4859	144	3	d	d	PROPN
fis-4859	144	4	d	d	PROPN
fis-4859	144	5	d	d	PROPN
fis-4859	144	6	d	d	PROPN
fis-4859	144	7	d	d	PROPN
fis-4859	144	8	d	d	PROPN
fis-4859	144	9	d	d	PROPN
fis-4859	144	10	d	d	PROPN
fis-4859	144	11	d	d	PROPN
fis-4859	144	12	d	d	PROPN
fis-4859	144	13	d	d	PROPN
fis-4859	144	14	d	d	PROPN
fis-4859	144	15	d	d	X
fis-4859	144	16	f	f	NOUN
fis-4859	144	17	r	r	NOUN
fis-4859	144	18	g	g	NOUN
fis-4859	144	19	r	r	NOUN
fis-4859	144	20	g	g	NOUN
fis-4859	144	21	r	r	NOUN
fis-4859	144	22	g	g	NOUN
fis-4859	144	23	r	r	NOUN
fis-4859	144	24	g	g	NOUN
fis-4859	144	25	r	r	NOUN
fis-4859	144	26	g	g	NOUN
fis-4859	144	27	r	r	NOUN
fis-4859	144	28	g	g	NOUN
fis-4859	144	29	r	r	NOUN
fis-4859	144	30	g	g	NOUN
fis-4859	144	31	r	r	NOUN
fis-4859	144	32	g	g	NOUN
fis-4859	144	33	r	r	NOUN
fis-4859	144	34	g	g	NOUN
fis-4859	144	35	r	r	NOUN
fis-4859	144	36	g	g	NOUN
fis-4859	144	37	r	r	NOUN
fis-4859	144	38	g	g	NOUN
fis-4859	144	39	r	r	NOUN
fis-4859	144	40	g	g	NOUN
fis-4859	144	41	r	r	NOUN
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fis-4859	144	51	r	r	NOUN
fis-4859	144	52	f	f	NOUN
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fis-4859	144	54	θ	θ	NOUN
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fis-4859	144	74			NOUN
fis-4859	144	75			ADJ
fis-4859	144	76			ADJ
fis-4859	144	77			ADJ
fis-4859	144	78			ADJ
fis-4859	144	79			ADJ
fis-4859	144	80			ADJ
fis-4859	144	81			ADJ
fis-4859	144	82			ADJ
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fis-4859	144	84			ADJ
fis-4859	144	85			ADJ
fis-4859	144	86			NUM
fis-4859	144	87			NOUN
fis-4859	144	88			NOUN
fis-4859	144	89			NUM
fis-4859	144	90			NUM
fis-4859	144	91			PROPN
fis-4859	144	92			PROPN
fis-4859	144	93			PROPN
fis-4859	144	94			VERB
fis-4859	144	95			ADJ
fis-4859	144	96			NOUN
fis-4859	144	97	n	n	ADP
fis-4859	144	98	n	n	NOUN
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fis-4859	144	100	0	0	NUM
fis-4859	144	101	1	1	NUM
fis-4859	144	102	1	1	NUM
fis-4859	144	103	a	a	DET
fis-4859	144	104	b	b	NOUN
fis-4859	144	105	a	a	DET
fis-4859	144	106	b	b	NOUN
fis-4859	144	107	a	a	DET
fis-4859	144	108	b	b	PROPN
fis-4859	144	109	t	t	NOUN
fis-4859	144	110	t	t	NOUN
fis-4859	144	111			PROPN
fis-4859	144	112			PROPN
fis-4859	144	113			NOUN
fis-4859	144	114			PROPN
fis-4859	144	115			ADJ
fis-4859	144	116			NOUN
fis-4859	144	117			ADJ
fis-4859	144	118			NOUN
fis-4859	144	119			ADJ
fis-4859	144	120			NOUN
fis-4859	144	121			ADJ
fis-4859	144	122			NOUN
fis-4859	144	123			ADJ
fis-4859	144	124			NOUN
fis-4859	144	125			ADJ
fis-4859	144	126			NOUN
fis-4859	144	127			ADJ
fis-4859	144	128			NOUN
fis-4859	144	129			ADJ
fis-4859	144	130			NOUN
fis-4859	144	131			ADJ
fis-4859	144	132			NOUN
fis-4859	144	133			NOUN
fis-4859	144	134			NOUN
fis-4859	145	1			PROPN
fis-4859	145	2			NOUN
fis-4859	145	3			CCONJ
fis-4859	145	4			VERB
fis-4859	145	5	where	where	SCONJ
fis-4859	145	6	the	the	DET
fis-4859	145	7	functions	function	NOUN
fis-4859	145	8	in	in	ADP
fis-4859	145	9	the	the	DET
fis-4859	145	10	coefficient	coefficient	NOUN
fis-4859	145	11	matrix	matrix	NOUN
fis-4859	145	12	are	be	AUX
fis-4859	145	13	given	give	VERB
fis-4859	145	14	by	by	ADP
fis-4859	145	15	(	(	PUNCT
fis-4859	145	16	)	)	PUNCT
fis-4859	145	17	(	(	PUNCT
fis-4859	145	18	)	)	PUNCT
fis-4859	145	19	(	(	PUNCT
fis-4859	145	20	)	)	PUNCT
fis-4859	145	21	(	(	PUNCT
fis-4859	145	22	)	)	PUNCT
fis-4859	145	23	/2	/2	PUNCT
fis-4859	146	1	a	a	DET
fis-4859	146	2	/2	/2	PROPN
fis-4859	146	3	/2	/2	PROPN
fis-4859	146	4	/2	/2	PROPN
fis-4859	147	1	,	,	PUNCT
fis-4859	147	2	(	(	PUNCT
fis-4859	147	3	1	1	X
fis-4859	147	4	)	)	PUNCT
fis-4859	147	5	cos	cos	PROPN
fis-4859	147	6	cos	cos	PROPN
fis-4859	147	7	(	(	PUNCT
fis-4859	147	8	2	2	NUM
fis-4859	147	9	)	)	PUNCT
fis-4859	147	10	,	,	PUNCT
fis-4859	147	11	2	2	NUM
fis-4859	147	12	2	2	NUM
fis-4859	147	13	2	2	NUM
fis-4859	147	14	2	2	NUM
fis-4859	147	15	2	2	NUM
fis-4859	147	16	,	,	PUNCT
fis-4859	147	17	(	(	PUNCT
fis-4859	147	18	1	1	X
fis-4859	147	19	)	)	PUNCT
fis-4859	147	20	sin	sin	NOUN
fis-4859	147	21	sin	sin	NOUN
fis-4859	147	22	(	(	PUNCT
fis-4859	147	23	2	2	NUM
fis-4859	147	24	)	)	PUNCT
fis-4859	147	25	,	,	PUNCT
fis-4859	147	26	2	2	NUM
fis-4859	147	27	2	2	NUM
fis-4859	147	28	2	2	NUM
fis-4859	147	29	2	2	NUM
fis-4859	147	30	2	2	NUM
fis-4859	147	31	,	,	PUNCT
fis-4859	147	32	(	(	PUNCT
fis-4859	147	33	1	1	X
fis-4859	147	34	)	)	PUNCT
fis-4859	147	35	sin	sin	NOUN
fis-4859	147	36	sin	sin	NOUN
fis-4859	147	37	(	(	PUNCT
fis-4859	147	38	2	2	NUM
fis-4859	147	39	)	)	PUNCT
fis-4859	147	40	,	,	PUNCT
fis-4859	147	41	2	2	NUM
fis-4859	147	42	2	2	NUM
fis-4859	147	43	2	2	NUM
fis-4859	147	44	2	2	NUM
fis-4859	147	45	2	2	NUM
fis-4859	147	46	,	,	PUNCT
fis-4859	147	47	(	(	PUNCT
fis-4859	147	48	1	1	X
fis-4859	147	49	)	)	PUNCT
fis-4859	147	50	cos	cos	ADP
fis-4859	147	51	2	2	NUM
fis-4859	147	52	2	2	NUM
fis-4859	147	53	2	2	NUM
fis-4859	147	54	n	n	CCONJ
fis-4859	147	55	n	n	CCONJ
fis-4859	147	56	n	n	CCONJ
fis-4859	147	57	n	n	CCONJ
fis-4859	147	58	n	n	CCONJ
fis-4859	147	59	n	n	CCONJ
fis-4859	147	60	n	n	CCONJ
fis-4859	147	61	n	n	ADP
fis-4859	147	62	b	b	PROPN
fis-4859	147	63	n	n	ADP
fis-4859	147	64	n	n	ADV
fis-4859	147	65	a	a	DET
fis-4859	147	66	n	n	CCONJ
fis-4859	147	67	n	n	ADP
fis-4859	147	68	b	b	NOUN
fis-4859	147	69	r	r	NOUN
fis-4859	147	70	n	n	CCONJ
fis-4859	147	71	n	n	CCONJ
fis-4859	147	72	n	n	CCONJ
fis-4859	147	73	nf	nf	NOUN
fis-4859	147	74	r	r	NOUN
fis-4859	147	75	g	g	NOUN
fis-4859	147	76	r	r	NOUN
fis-4859	147	77	n	n	CCONJ
fis-4859	147	78	n	n	CCONJ
fis-4859	147	79	n	n	CCONJ
fis-4859	147	80	nf	nf	NOUN
fis-4859	147	81	r	r	NOUN
fis-4859	147	82	g	g	NOUN
fis-4859	147	83	r	r	NOUN
fis-4859	147	84	n	n	CCONJ
fis-4859	147	85	n	n	CCONJ
fis-4859	147	86	n	n	NOUN
fis-4859	147	87	ng	ng	NOUN
fis-4859	147	88	r	r	NOUN
fis-4859	147	89	g	g	PROPN
fis-4859	147	90	r	r	NOUN
fis-4859	147	91	n	n	NOUN
fis-4859	147	92	ng	ng	NOUN
fis-4859	147	93	r	r	NOUN
fis-4859	147	94	g	g	NOUN
fis-4859	147	95	θ	θ	NOUN
fis-4859	147	96	κ	κ	NOUN
fis-4859	147	97	θ	θ	NOUN
fis-4859	147	98	θ	θ	NOUN
fis-4859	147	99	θ	θ	NOUN
fis-4859	147	100	κ	κ	NOUN
fis-4859	147	101	θ	θ	X
fis-4859	147	102	θ	θ	NOUN
fis-4859	147	103	θ	θ	NOUN
fis-4859	147	104	κ	κ	NOUN
fis-4859	147	105	θ	θ	X
fis-4859	147	106	θ	θ	NOUN
fis-4859	147	107	θ	θ	NOUN
fis-4859	147	108	κ	κ	NOUN
fis-4859	147	109			PROPN
fis-4859	147	110			PRON
fis-4859	147	111	=	=	X
fis-4859	147	112	+	+	CCONJ
fis-4859	147	113	+	+	CCONJ
fis-4859	147	114	−	−	NOUN
fis-4859	147	115	−	−	PROPN
fis-4859	148	1	−	−	PROPN
fis-4859	148	2			VERB
fis-4859	148	3			ADP
fis-4859	148	4			NOUN
fis-4859	148	5			PROPN
fis-4859	148	6			NOUN
fis-4859	148	7			PRON
fis-4859	148	8	=	=	ADP
fis-4859	148	9	−	−	PROPN
fis-4859	148	10	−	−	PROPN
fis-4859	149	1	+	+	CCONJ
fis-4859	149	2	−	−	PROPN
fis-4859	150	1	+	+	CCONJ
fis-4859	150	2	−	−	PROPN
fis-4859	150	3			VERB
fis-4859	150	4			ADP
fis-4859	150	5			NOUN
fis-4859	150	6			PROPN
fis-4859	150	7			NOUN
fis-4859	150	8			PRON
fis-4859	150	9	=	=	ADP
fis-4859	150	10	−	−	PROPN
fis-4859	150	11	−	−	PROPN
fis-4859	151	1	−	−	PROPN
fis-4859	152	1	+	+	CCONJ
fis-4859	152	2	−	−	PROPN
fis-4859	152	3			VERB
fis-4859	152	4			ADP
fis-4859	152	5			NOUN
fis-4859	152	6			NOUN
fis-4859	152	7			NOUN
fis-4859	152	8	=	=	ADP
fis-4859	152	9	−	−	PROPN
fis-4859	153	1	+	+	CCONJ
fis-4859	153	2	−	−	ADJ
fis-4859	153	3			NOUN
fis-4859	153	4			PRON
fis-4859	153	5			PUNCT
fis-4859	154	1	cos	cos	NOUN
fis-4859	154	2	(	(	PUNCT
fis-4859	154	3	2	2	NUM
fis-4859	154	4	)	)	PUNCT
fis-4859	154	5	.	.	PUNCT
fis-4859	155	1	2	2	NUM
fis-4859	155	2	2	2	NUM
fis-4859	155	3	n	n	PRON
fis-4859	155	4	nθ	nθ	ADJ
fis-4859	155	5	θ	θ	X
fis-4859	155	6	+	+	PROPN
fis-4859	155	7	−	−	NUM
fis-4859	155	8			ADJ
fis-4859	155	9			PROPN
fis-4859	155	10	(	(	PUNCT
fis-4859	155	11	16	16	NUM
fis-4859	155	12	)	)	PUNCT
fis-4859	155	13	eqn	eqn	NOUN
fis-4859	155	14	.	.	PUNCT
fis-4859	156	1	(	(	PUNCT
fis-4859	156	2	16	16	NUM
fis-4859	156	3	)	)	PUNCT
fis-4859	156	4	can	can	AUX
fis-4859	156	5	be	be	AUX
fis-4859	156	6	written	write	VERB
fis-4859	156	7	as	as	ADP
fis-4859	156	8	:	:	PUNCT
fis-4859	156	9	n	n	CCONJ
fis-4859	156	10	n	n	CCONJ
fis-4859	156	11	n	n	CCONJ
fis-4859	156	12	n2	n2	NOUN
fis-4859	156	13	,	,	PUNCT
fis-4859	156	14	1	1	NUM
fis-4859	156	15	2	2	NUM
fis-4859	156	16	,	,	PUNCT
fis-4859	156	17	2	2	NUM
fis-4859	156	18	2	2	NUM
fis-4859	156	19	2	2	NUM
fis-4859	156	20	+2,1d	+2,1d	PROPN
fis-4859	156	21	d	d	PROPN
fis-4859	156	22	t	t	PROPN
fis-4859	156	23	t+=u	t+=u	VERB
fis-4859	156	24	c	c	PROPN
fis-4859	156	25	a	a	DET
fis-4859	156	26	(	(	PUNCT
fis-4859	156	27	17	17	NUM
fis-4859	156	28	)	)	PUNCT
fis-4859	156	29	where	where	SCONJ
fis-4859	156	30	vector	vector	NOUN
fis-4859	156	31	a	a	PRON
fis-4859	156	32	contains	contain	VERB
fis-4859	156	33	the	the	DET
fis-4859	156	34	unknown	unknown	ADJ
fis-4859	156	35	coefficients	coefficient	NOUN
fis-4859	156	36	of	of	ADP
fis-4859	156	37	the	the	DET
fis-4859	156	38	williams	williams	PROPN
fis-4859	156	39	expansion	expansion	NOUN
fis-4859	156	40	.	.	PUNCT
fis-4859	157	1	if	if	SCONJ
fis-4859	157	2	2dn>2tn+2	2dn>2tn+2	NUM
fis-4859	157	3	,	,	PUNCT
fis-4859	157	4	then	then	ADV
fis-4859	157	5	matrix	matrix	VERB
fis-4859	157	6	c	c	NOUN
fis-4859	157	7	is	be	AUX
fis-4859	157	8	rectangular	rectangular	ADJ
fis-4859	157	9	,	,	PUNCT
fis-4859	157	10	and	and	CCONJ
fis-4859	157	11	the	the	DET
fis-4859	157	12	system	system	NOUN
fis-4859	157	13	is	be	AUX
fis-4859	157	14	overdetermined	overdetermine	VERB
fis-4859	157	15	.	.	PUNCT
fis-4859	158	1	utilizing	utilize	VERB
fis-4859	158	2	the	the	DET
fis-4859	158	3	generalized	generalized	ADJ
fis-4859	158	4	inverse	inverse	NOUN
fis-4859	158	5	of	of	ADP
fis-4859	158	6	c	c	NOUN
fis-4859	158	7	,	,	PUNCT
fis-4859	158	8	vector	vector	NOUN
fis-4859	158	9	a	a	PRON
fis-4859	158	10	can	can	AUX
fis-4859	158	11	be	be	AUX
fis-4859	158	12	obtained	obtain	VERB
fis-4859	158	13	via	via	ADP
fis-4859	158	14	1	1	NUM
fis-4859	158	15	(	(	PUNCT
fis-4859	158	16	)	)	PUNCT
fis-4859	158	17	t	t	PROPN
fis-4859	158	18	t−=a	t−=a	NOUN
fis-4859	159	1	c	c	NOUN
fis-4859	159	2	c	c	NOUN
fis-4859	159	3	c	c	NOUN
fis-4859	159	4	u	u	X
fis-4859	159	5	(	(	PUNCT
fis-4859	159	6	18	18	NUM
fis-4859	159	7	)	)	PUNCT
fis-4859	159	8	in	in	ADP
fis-4859	159	9	fact	fact	NOUN
fis-4859	159	10	,	,	PUNCT
fis-4859	159	11	eqn	eqn	PROPN
fis-4859	159	12	.	.	PUNCT
fis-4859	160	1	(	(	PUNCT
fis-4859	160	2	18	18	NUM
fis-4859	160	3	)	)	PUNCT
fis-4859	160	4	yields	yield	VERB
fis-4859	160	5	the	the	DET
fis-4859	160	6	solution	solution	NOUN
fis-4859	160	7	of	of	ADP
fis-4859	160	8	eqn	eqn	PROPN
fis-4859	160	9	.	.	PUNCT
fis-4859	161	1	(	(	PUNCT
fis-4859	161	2	17	17	NUM
fis-4859	161	3	)	)	PUNCT
fis-4859	161	4	with	with	ADP
fis-4859	161	5	the	the	DET
fis-4859	161	6	minimal	minimal	ADJ
fis-4859	161	7	least	least	ADJ
fis-4859	161	8	-	-	PUNCT
fis-4859	161	9	squares	square	NOUN
fis-4859	161	10	error	error	NOUN
fis-4859	161	11	.	.	PUNCT
fis-4859	162	1	cylindrical	cylindrical	ADJ
fis-4859	162	2	shells	shell	NOUN
fis-4859	162	3	ylinder	ylinder	PROPN
fis-4859	162	4	shell	shell	PROPN
fis-4859	162	5	structures	structure	NOUN
fis-4859	162	6	are	be	AUX
fis-4859	162	7	used	use	VERB
fis-4859	162	8	in	in	ADP
fis-4859	162	9	this	this	DET
fis-4859	162	10	chapter	chapter	NOUN
fis-4859	162	11	to	to	PART
fis-4859	162	12	execute	execute	VERB
fis-4859	162	13	and	and	CCONJ
fis-4859	162	14	validate	validate	VERB
fis-4859	162	15	the	the	DET
fis-4859	162	16	method	method	NOUN
fis-4859	162	17	for	for	ADP
fis-4859	162	18	the	the	DET
fis-4859	162	19	detection	detection	NOUN
fis-4859	162	20	of	of	ADP
fis-4859	162	21	sif	sif	NOUN
fis-4859	162	22	on	on	ADP
fis-4859	162	23	curved	curved	ADJ
fis-4859	162	24	surface	surface	NOUN
fis-4859	162	25	shells	shell	NOUN
fis-4859	162	26	.	.	PUNCT
fis-4859	163	1	for	for	ADP
fis-4859	163	2	the	the	DET
fis-4859	163	3	experiments	experiment	NOUN
fis-4859	163	4	,	,	PUNCT
fis-4859	163	5	the	the	DET
fis-4859	163	6	tensile	tensile	NOUN
fis-4859	163	7	test	test	NOUN
fis-4859	163	8	of	of	ADP
fis-4859	163	9	polymethyl	polymethyl	PROPN
fis-4859	163	10	methacrylate	methacrylate	NOUN
fis-4859	163	11	(	(	PUNCT
fis-4859	163	12	pmma	pmma	NOUN
fis-4859	163	13	)	)	PUNCT
fis-4859	163	14	cylindrical	cylindrical	ADJ
fis-4859	163	15	shell	shell	NOUN
fis-4859	163	16	specimens	specimen	NOUN
fis-4859	163	17	(	(	PUNCT
fis-4859	163	18	shown	show	VERB
fis-4859	163	19	in	in	ADP
fis-4859	163	20	fig	fig	NOUN
fis-4859	163	21	.	.	PUNCT
fis-4859	164	1	3(a	3(a	NUM
fis-4859	164	2	)	)	PUNCT
fis-4859	164	3	)	)	PUNCT
fis-4859	165	1	was	be	AUX
fis-4859	165	2	carried	carry	VERB
fis-4859	165	3	out	out	ADP
fis-4859	165	4	;	;	PUNCT
fis-4859	165	5	the	the	DET
fis-4859	165	6	mechanical	mechanical	ADJ
fis-4859	165	7	properties	property	NOUN
fis-4859	165	8	and	and	CCONJ
fis-4859	165	9	dimensions	dimension	NOUN
fis-4859	165	10	are	be	AUX
fis-4859	165	11	shown	show	VERB
fis-4859	165	12	in	in	ADP
fis-4859	165	13	tab	tab	NOUN
fis-4859	165	14	.	.	PUNCT
fis-4859	166	1	1	1	NUM
fis-4859	166	2	.	.	X
fis-4859	166	3	through	through	ADP
fis-4859	166	4	cracks	crack	NOUN
fis-4859	166	5	of	of	ADP
fis-4859	166	6	specimens	specimen	NOUN
fis-4859	166	7	were	be	AUX
fis-4859	166	8	cut	cut	VERB
fis-4859	166	9	by	by	ADP
fis-4859	166	10	0.25	0.25	NUM
fis-4859	166	11	mm	mm	NOUN
fis-4859	166	12	diameter	diameter	NOUN
fis-4859	166	13	diamond	diamond	PROPN
fis-4859	166	14	wire	wire	NOUN
fis-4859	166	15	saws	saw	NOUN
fis-4859	166	16	,	,	PUNCT
fis-4859	166	17	and	and	CCONJ
fis-4859	166	18	the	the	DET
fis-4859	166	19	length	length	NOUN
fis-4859	166	20	of	of	ADP
fis-4859	166	21	the	the	DET
fis-4859	166	22	crack	crack	NOUN
fis-4859	166	23	is	be	AUX
fis-4859	166	24	denoted	denote	VERB
fis-4859	166	25	by	by	ADP
fis-4859	166	26	its	its	PRON
fis-4859	166	27	central	central	ADJ
fis-4859	166	28	angle	angle	NOUN
fis-4859	166	29	2α	2α	PROPN
fis-4859	166	30	(	(	PUNCT
fis-4859	166	31	2α=30º	2α=30º	NUM
fis-4859	166	32	,	,	PUNCT
fis-4859	166	33	60º	60º	NOUN
fis-4859	166	34	,	,	PUNCT
fis-4859	166	35	90º	90º	NUM
fis-4859	166	36	,	,	PUNCT
fis-4859	166	37	120º	120º	PROPN
fis-4859	166	38	,	,	PUNCT
fis-4859	166	39	150º	150º	NOUN
fis-4859	166	40	,	,	PUNCT
fis-4859	166	41	and	and	CCONJ
fis-4859	166	42	180º	180º	NUM
fis-4859	166	43	,	,	PUNCT
fis-4859	166	44	respectively	respectively	ADV
fis-4859	166	45	)	)	PUNCT
fis-4859	166	46	.	.	PUNCT
fis-4859	167	1	fig	fig	NOUN
fis-4859	167	2	.	.	PUNCT
fis-4859	168	1	3	3	NUM
fis-4859	168	2	(	(	PUNCT
fis-4859	168	3	b	b	NOUN
fis-4859	168	4	)	)	PUNCT
fis-4859	168	5	shows	show	VERB
fis-4859	168	6	that	that	SCONJ
fis-4859	168	7	the	the	DET
fis-4859	168	8	specimen	speciman	NOUN
fis-4859	168	9	is	be	AUX
fis-4859	168	10	under	under	ADP
fis-4859	168	11	displacement	displacement	NOUN
fis-4859	168	12	-	-	PUNCT
fis-4859	168	13	controlled	control	VERB
fis-4859	168	14	tension	tension	NOUN
fis-4859	168	15	;	;	PUNCT
fis-4859	168	16	the	the	DET
fis-4859	168	17	loading	loading	NOUN
fis-4859	168	18	rate	rate	NOUN
fis-4859	168	19	is	be	AUX
fis-4859	168	20	kept	keep	VERB
fis-4859	168	21	at	at	ADP
fis-4859	168	22	0.25	0.25	NUM
fis-4859	168	23	mm	mm	NOUN
fis-4859	168	24	/	/	SYM
fis-4859	168	25	min	min	NOUN
fis-4859	168	26	using	use	VERB
fis-4859	168	27	a	a	DET
fis-4859	168	28	zwick	zwick	NOUN
fis-4859	168	29	/	/	SYM
fis-4859	168	30	roell	roell	PROPN
fis-4859	168	31	z-150	z-150	PROPN
fis-4859	168	32	testing	testing	NOUN
fis-4859	168	33	machine	machine	NOUN
fis-4859	168	34	to	to	PART
fis-4859	168	35	prevent	prevent	VERB
fis-4859	168	36	the	the	DET
fis-4859	168	37	interference	interference	NOUN
fis-4859	168	38	of	of	ADP
fis-4859	168	39	dynamic	dynamic	ADJ
fis-4859	168	40	actions	action	NOUN
fis-4859	168	41	(	(	PUNCT
fis-4859	168	42	i.e.	i.e.	X
fis-4859	168	43	,	,	PUNCT
fis-4859	168	44	a	a	DET
fis-4859	168	45	quasi	quasi	ADJ
fis-4859	168	46	-	-	ADJ
fis-4859	168	47	static	static	ADJ
fis-4859	168	48	load	load	NOUN
fis-4859	168	49	)	)	PUNCT
fis-4859	168	50	.	.	PUNCT
fis-4859	169	1	fig	fig	NOUN
fis-4859	169	2	.	.	PUNCT
fis-4859	170	1	3	3	NUM
fis-4859	170	2	(	(	PUNCT
fis-4859	170	3	c	c	NOUN
fis-4859	170	4	)	)	PUNCT
fis-4859	170	5	shows	show	VERB
fis-4859	170	6	the	the	DET
fis-4859	170	7	clamped	clamp	VERB
fis-4859	170	8	support	support	NOUN
fis-4859	170	9	of	of	ADP
fis-4859	170	10	the	the	DET
fis-4859	170	11	cylinder	cylinder	NOUN
fis-4859	170	12	specimens	specimen	NOUN
fis-4859	170	13	.	.	PUNCT
fis-4859	171	1	the	the	DET
fis-4859	171	2	upper	upper	ADJ
fis-4859	171	3	and	and	CCONJ
fis-4859	171	4	lower	low	ADJ
fis-4859	171	5	parts	part	NOUN
fis-4859	171	6	of	of	ADP
fis-4859	171	7	the	the	DET
fis-4859	171	8	specimen	speciman	NOUN
fis-4859	171	9	are	be	AUX
fis-4859	171	10	fixed	fix	VERB
fis-4859	171	11	by	by	ADP
fis-4859	171	12	specially	specially	ADV
fis-4859	171	13	designed	design	VERB
fis-4859	171	14	fixtures	fixture	NOUN
fis-4859	171	15	,	,	PUNCT
fis-4859	171	16	which	which	PRON
fis-4859	171	17	are	be	AUX
fis-4859	171	18	fastened	fasten	VERB
fis-4859	171	19	with	with	ADP
fis-4859	171	20	two	two	NUM
fis-4859	171	21	sets	set	NOUN
fis-4859	171	22	of	of	ADP
fis-4859	171	23	hose	hose	NOUN
fis-4859	171	24	clamps	clamp	NOUN
fis-4859	171	25	.	.	PUNCT
fis-4859	172	1	sand	sand	VERB
fis-4859	172	2	the	the	DET
fis-4859	172	3	ends	end	NOUN
fis-4859	172	4	of	of	ADP
fis-4859	172	5	the	the	DET
fis-4859	172	6	specimen	speciman	NOUN
fis-4859	172	7	with	with	ADP
fis-4859	172	8	sandpaper	sandpaper	NOUN
fis-4859	172	9	for	for	ADP
fis-4859	172	10	firmer	firm	ADJ
fis-4859	172	11	clamps	clamp	NOUN
fis-4859	172	12	.	.	PUNCT
fis-4859	173	1	the	the	DET
fis-4859	173	2	length	length	NOUN
fis-4859	173	3	of	of	ADP
fis-4859	173	4	the	the	DET
fis-4859	173	5	clamps	clamp	NOUN
fis-4859	173	6	are	be	AUX
fis-4859	173	7	15	15	NUM
fis-4859	173	8	mm	mm	NOUN
fis-4859	173	9	.	.	PUNCT
fis-4859	174	1	the	the	DET
fis-4859	174	2	3d	3d	PROPN
fis-4859	174	3	deformation	deformation	NOUN
fis-4859	174	4	data	datum	NOUN
fis-4859	174	5	on	on	ADP
fis-4859	174	6	the	the	DET
fis-4859	174	7	surface	surface	NOUN
fis-4859	174	8	of	of	ADP
fis-4859	174	9	specimens	specimen	NOUN
fis-4859	174	10	are	be	AUX
fis-4859	174	11	obtained	obtain	VERB
fis-4859	174	12	by	by	ADP
fis-4859	174	13	a	a	DET
fis-4859	174	14	3d	3d	ADJ
fis-4859	174	15	-	-	PUNCT
fis-4859	174	16	dic	dic	ADJ
fis-4859	174	17	system	system	NOUN
fis-4859	174	18	produced	produce	VERB
fis-4859	174	19	by	by	ADP
fis-4859	174	20	correlated	correlate	VERB
fis-4859	174	21	solutions	solution	NOUN
fis-4859	174	22	,	,	PUNCT
fis-4859	174	23	inc	inc	PROPN
fis-4859	174	24	.	.	PROPN
fis-4859	174	25	,	,	PUNCT
fis-4859	174	26	the	the	DET
fis-4859	174	27	capture	capture	NOUN
fis-4859	174	28	frequency	frequency	NOUN
fis-4859	174	29	of	of	ADP
fis-4859	174	30	photos	photo	NOUN
fis-4859	174	31	was	be	AUX
fis-4859	174	32	1	1	NUM
fis-4859	174	33	hz	hz	NOUN
fis-4859	174	34	.	.	PUNCT
fis-4859	175	1	to	to	PART
fis-4859	175	2	reduce	reduce	VERB
fis-4859	175	3	the	the	DET
fis-4859	175	4	environmental	environmental	ADJ
fis-4859	175	5	effect	effect	NOUN
fis-4859	175	6	,	,	PUNCT
fis-4859	175	7	the	the	DET
fis-4859	175	8	dic-3d	dic-3d	NOUN
fis-4859	175	9	system	system	NOUN
fis-4859	175	10	calculated	calculate	VERB
fis-4859	175	11	the	the	DET
fis-4859	175	12	average	average	NOUN
fis-4859	175	13	of	of	ADP
fis-4859	175	14	5	5	NUM
fis-4859	175	15	sets	set	NOUN
fis-4859	175	16	of	of	ADP
fis-4859	175	17	photos	photo	NOUN
fis-4859	175	18	at	at	ADP
fis-4859	175	19	a	a	DET
fis-4859	175	20	time	time	NOUN
fis-4859	175	21	.	.	PUNCT
fis-4859	176	1	the	the	DET
fis-4859	176	2	vertical	vertical	ADJ
fis-4859	176	3	distance	distance	NOUN
fis-4859	176	4	between	between	ADP
fis-4859	176	5	two	two	NUM
fis-4859	176	6	cameras	camera	NOUN
fis-4859	176	7	and	and	CCONJ
fis-4859	176	8	the	the	DET
fis-4859	176	9	specimen	speciman	NOUN
fis-4859	176	10	is	be	AUX
fis-4859	176	11	0.6	0.6	NUM
fis-4859	176	12	m	m	NOUN
fis-4859	176	13	,	,	PUNCT
fis-4859	176	14	and	and	CCONJ
fis-4859	176	15	the	the	DET
fis-4859	176	16	angle	angle	NOUN
fis-4859	176	17	c	c	PROPN
fis-4859	176	18	(	(	PUNCT
fis-4859	176	19	15	15	NUM
fis-4859	176	20	)	)	PUNCT
fis-4859	176	21	s.	s.	PROPN
fis-4859	176	22	cao	cao	PROPN
fis-4859	176	23	et	et	PROPN
fis-4859	176	24	alii	alii	PROPN
fis-4859	176	25	,	,	PUNCT
fis-4859	176	26	frattura	frattura	PROPN
fis-4859	176	27	ed	ed	PROPN
fis-4859	176	28	integrità	integrità	PROPN
fis-4859	176	29	strutturale	strutturale	PROPN
fis-4859	176	30	,	,	PUNCT
fis-4859	176	31	69	69	NUM
fis-4859	176	32	(	(	PUNCT
fis-4859	176	33	2024	2024	NUM
fis-4859	176	34	)	)	PUNCT
fis-4859	176	35	1	1	NUM
fis-4859	176	36	-	-	SYM
fis-4859	176	37	17	17	NUM
fis-4859	176	38	;	;	PUNCT
fis-4859	176	39	doi	doi	NOUN
fis-4859	176	40	:	:	PUNCT
fis-4859	176	41	10.3221	10.3221	NUM
fis-4859	176	42	/	/	SYM
fis-4859	176	43	igf	igf	NOUN
fis-4859	176	44	-	-	PUNCT
fis-4859	176	45	esis.69.01	esis.69.01	PROPN
fis-4859	176	46	7	7	NUM
fis-4859	176	47	between	between	ADP
fis-4859	176	48	the	the	DET
fis-4859	176	49	two	two	NUM
fis-4859	176	50	cameras	camera	NOUN
fis-4859	176	51	is	be	AUX
fis-4859	176	52	6.68º.	6.68º.	NUM
fis-4859	176	53	the	the	DET
fis-4859	176	54	subset	subset	NOUN
fis-4859	176	55	size	size	NOUN
fis-4859	176	56	was	be	AUX
fis-4859	176	57	11×11	11×11	NUM
fis-4859	176	58	pixels	pixel	NOUN
fis-4859	176	59	,	,	PUNCT
fis-4859	176	60	the	the	DET
fis-4859	176	61	diameters	diameter	NOUN
fis-4859	176	62	of	of	ADP
fis-4859	176	63	the	the	DET
fis-4859	176	64	speckles	speckle	NOUN
fis-4859	176	65	varied	varied	ADJ
fis-4859	176	66	between	between	ADP
fis-4859	176	67	0.01~0.05	0.01~0.05	PROPN
fis-4859	176	68	mm	mm	PROPN
fis-4859	176	69	.	.	PUNCT
fis-4859	177	1	the	the	DET
fis-4859	177	2	test	test	NOUN
fis-4859	177	3	stopped	stop	VERB
fis-4859	177	4	when	when	SCONJ
fis-4859	177	5	the	the	DET
fis-4859	177	6	specimen	speciman	NOUN
fis-4859	177	7	broke	break	VERB
fis-4859	177	8	.	.	PUNCT
fis-4859	178	1	each	each	DET
fis-4859	178	2	test	test	NOUN
fis-4859	178	3	was	be	AUX
fis-4859	178	4	repeated	repeat	VERB
fis-4859	178	5	three	three	NUM
fis-4859	178	6	times	time	NOUN
fis-4859	178	7	.	.	PUNCT
fis-4859	179	1	modulus	modulus	NOUN
fis-4859	179	2	of	of	ADP
fis-4859	179	3	elasticity	elasticity	NOUN
fis-4859	179	4	e	e	PROPN
fis-4859	180	1	[	[	X
fis-4859	180	2	mpa	mpa	X
fis-4859	180	3	]	]	X
fis-4859	180	4	poisson	poisson	PROPN
fis-4859	180	5	’s	’s	PART
fis-4859	180	6	ratio	ratio	NOUN
fis-4859	180	7	ν	ν	NOUN
fis-4859	180	8	length	length	NOUN
fis-4859	180	9	l	l	PROPN
fis-4859	181	1	[	[	X
fis-4859	181	2	mm	mm	X
fis-4859	181	3	]	]	X
fis-4859	181	4	thickness	thickness	NOUN
fis-4859	181	5	h	h	NOUN
fis-4859	182	1	[	[	X
fis-4859	182	2	mm	mm	X
fis-4859	182	3	]	]	X
fis-4859	182	4	radius	radius	NOUN
fis-4859	182	5	r	r	NOUN
fis-4859	182	6	[	[	X
fis-4859	182	7	mm	mm	X
fis-4859	182	8	]	]	X
fis-4859	182	9	3300	3300	NUM
fis-4859	182	10	0.37	0.37	NUM
fis-4859	182	11	120.0	120.0	NUM
fis-4859	182	12	2.0	2.0	NUM
fis-4859	182	13	20.0	20.0	NUM
fis-4859	182	14	table	table	NOUN
fis-4859	182	15	1	1	NUM
fis-4859	182	16	:	:	PUNCT
fis-4859	182	17	the	the	DET
fis-4859	182	18	material	material	NOUN
fis-4859	182	19	parameters	parameter	NOUN
fis-4859	182	20	and	and	CCONJ
fis-4859	182	21	geometric	geometric	ADJ
fis-4859	182	22	properties	property	NOUN
fis-4859	182	23	of	of	ADP
fis-4859	182	24	the	the	DET
fis-4859	182	25	cylinder	cylinder	NOUN
fis-4859	182	26	model	model	NOUN
fis-4859	182	27	(	(	PUNCT
fis-4859	182	28	a	a	NOUN
fis-4859	182	29	)	)	PUNCT
fis-4859	182	30	(	(	PUNCT
fis-4859	182	31	b	b	X
fis-4859	182	32	)	)	PUNCT
fis-4859	182	33	l	l	NOUN
fis-4859	182	34	2α	2α	NOUN
fis-4859	182	35	crack	crack	VERB
fis-4859	182	36	l/2	l/2	NUM
fis-4859	182	37	r	r	NOUN
fis-4859	182	38	(	(	PUNCT
fis-4859	182	39	c	c	NOUN
fis-4859	182	40	)	)	PUNCT
fis-4859	182	41	figure	figure	NOUN
fis-4859	182	42	3	3	NUM
fis-4859	182	43	:	:	PUNCT
fis-4859	182	44	experimental	experimental	ADJ
fis-4859	182	45	setup	setup	NOUN
fis-4859	182	46	.	.	PUNCT
fis-4859	183	1	(	(	PUNCT
fis-4859	183	2	a	a	PRON
fis-4859	183	3	)	)	PUNCT
fis-4859	183	4	shape	shape	NOUN
fis-4859	183	5	and	and	CCONJ
fis-4859	183	6	dimensions	dimension	NOUN
fis-4859	183	7	of	of	ADP
fis-4859	183	8	the	the	DET
fis-4859	183	9	cylindrical	cylindrical	ADJ
fis-4859	183	10	shell	shell	NOUN
fis-4859	183	11	structure	structure	NOUN
fis-4859	183	12	(	(	PUNCT
fis-4859	183	13	b	b	X
fis-4859	183	14	)	)	PUNCT
fis-4859	183	15	the	the	DET
fis-4859	183	16	loading	loading	NOUN
fis-4859	183	17	and	and	CCONJ
fis-4859	183	18	observing	observing	NOUN
fis-4859	183	19	of	of	ADP
fis-4859	183	20	the	the	DET
fis-4859	183	21	cylinder	cylinder	NOUN
fis-4859	183	22	specimen	speciman	NOUN
fis-4859	183	23	.	.	PUNCT
fis-4859	184	1	(	(	PUNCT
fis-4859	184	2	c	c	X
fis-4859	184	3	)	)	PUNCT
fis-4859	184	4	the	the	DET
fis-4859	184	5	way	way	NOUN
fis-4859	184	6	of	of	ADP
fis-4859	184	7	specimens	specimen	NOUN
fis-4859	184	8	clamping	clamp	VERB
fis-4859	184	9	.	.	PUNCT
fis-4859	185	1	meanwhile	meanwhile	ADV
fis-4859	185	2	,	,	PUNCT
fis-4859	185	3	the	the	DET
fis-4859	185	4	numerical	numerical	ADJ
fis-4859	185	5	displacement	displacement	ADJ
fis-4859	185	6	field	field	NOUN
fis-4859	185	7	was	be	AUX
fis-4859	185	8	simulated	simulate	VERB
fis-4859	185	9	by	by	ADP
fis-4859	185	10	abaqus	abaqus	PROPN
fis-4859	185	11	2017	2017	NUM
fis-4859	185	12	with	with	ADP
fis-4859	185	13	a	a	DET
fis-4859	185	14	linear	linear	ADJ
fis-4859	185	15	elastic	elastic	ADJ
fis-4859	185	16	constitutive	constitutive	ADJ
fis-4859	185	17	equation	equation	NOUN
fis-4859	185	18	.	.	PUNCT
fis-4859	186	1	the	the	DET
fis-4859	186	2	dimensions	dimension	NOUN
fis-4859	186	3	and	and	CCONJ
fis-4859	186	4	mechanical	mechanical	ADJ
fis-4859	186	5	properties	property	NOUN
fis-4859	186	6	of	of	ADP
fis-4859	186	7	the	the	DET
fis-4859	186	8	numerical	numerical	ADJ
fis-4859	186	9	models	model	NOUN
fis-4859	186	10	were	be	AUX
fis-4859	186	11	identical	identical	ADJ
fis-4859	186	12	to	to	ADP
fis-4859	186	13	the	the	DET
fis-4859	186	14	experimental	experimental	ADJ
fis-4859	186	15	specimens	specimen	NOUN
fis-4859	186	16	;	;	PUNCT
fis-4859	186	17	the	the	DET
fis-4859	186	18	setting	setting	NOUN
fis-4859	186	19	of	of	ADP
fis-4859	186	20	boundary	boundary	ADJ
fis-4859	186	21	conditions	condition	NOUN
fis-4859	186	22	is	be	AUX
fis-4859	186	23	shown	show	VERB
fis-4859	186	24	in	in	ADP
fis-4859	186	25	fig	fig	NOUN
fis-4859	186	26	.	.	PUNCT
fis-4859	187	1	4	4	NUM
fis-4859	187	2	(	(	PUNCT
fis-4859	187	3	a	a	NOUN
fis-4859	187	4	)	)	PUNCT
fis-4859	187	5	,	,	PUNCT
fis-4859	187	6	and	and	CCONJ
fis-4859	187	7	all	all	DET
fis-4859	187	8	dofs	dof	NOUN
fis-4859	187	9	at	at	ADP
fis-4859	187	10	the	the	DET
fis-4859	187	11	bottom	bottom	NOUN
fis-4859	187	12	of	of	ADP
fis-4859	187	13	the	the	DET
fis-4859	187	14	cylinder	cylinder	NOUN
fis-4859	187	15	are	be	AUX
fis-4859	187	16	fixed	fix	VERB
fis-4859	187	17	.	.	PUNCT
fis-4859	188	1	at	at	ADP
fis-4859	188	2	the	the	DET
fis-4859	188	3	top	top	NOUN
fis-4859	188	4	,	,	PUNCT
fis-4859	188	5	all	all	DET
fis-4859	188	6	dofs	dof	NOUN
fis-4859	188	7	,	,	PUNCT
fis-4859	188	8	except	except	SCONJ
fis-4859	188	9	the	the	DET
fis-4859	188	10	axial	axial	ADJ
fis-4859	188	11	direction	direction	NOUN
fis-4859	188	12	,	,	PUNCT
fis-4859	188	13	are	be	AUX
fis-4859	188	14	also	also	ADV
fis-4859	188	15	fixed	fix	VERB
fis-4859	188	16	.	.	PUNCT
fis-4859	189	1	the	the	DET
fis-4859	189	2	loading	loading	NOUN
fis-4859	189	3	force	force	NOUN
fis-4859	189	4	varies	vary	VERB
fis-4859	189	5	from	from	ADP
fis-4859	189	6	0	0	NUM
fis-4859	189	7	n	n	CCONJ
fis-4859	189	8	to	to	ADP
fis-4859	189	9	3000	3000	NUM
fis-4859	189	10	n	n	NOUN
fis-4859	189	11	along	along	ADP
fis-4859	189	12	the	the	DET
fis-4859	189	13	axial	axial	ADJ
fis-4859	189	14	direction	direction	NOUN
fis-4859	189	15	during	during	ADP
fis-4859	189	16	300	300	NUM
fis-4859	189	17	s.	s.	NOUN
fis-4859	189	18	the	the	DET
fis-4859	189	19	finite	finite	PROPN
fis-4859	189	20	element	element	NOUN
fis-4859	189	21	mesh	mesh	NOUN
fis-4859	189	22	type	type	NOUN
fis-4859	189	23	in	in	ADP
fis-4859	189	24	fig	fig	NOUN
fis-4859	189	25	.	.	PUNCT
fis-4859	190	1	4	4	NUM
fis-4859	190	2	(	(	PUNCT
fis-4859	190	3	d	d	NOUN
fis-4859	190	4	)	)	PUNCT
fis-4859	190	5	is	be	AUX
fis-4859	190	6	hexahedral	hexahedral	ADJ
fis-4859	190	7	(	(	PUNCT
fis-4859	190	8	c3d8r	c3d8r	NUM
fis-4859	190	9	)	)	PUNCT
fis-4859	190	10	,	,	PUNCT
fis-4859	190	11	and	and	CCONJ
fis-4859	190	12	the	the	DET
fis-4859	190	13	characteristic	characteristic	ADJ
fis-4859	190	14	length	length	NOUN
fis-4859	190	15	of	of	ADP
fis-4859	190	16	the	the	DET
fis-4859	190	17	mesh	mesh	NOUN
fis-4859	190	18	reads	read	VERB
fis-4859	190	19	1	1	NUM
fis-4859	190	20	mm	mm	NOUN
fis-4859	190	21	.	.	PUNCT
fis-4859	191	1	f	f	PROPN
fis-4859	191	2	crack	crack	VERB
fis-4859	191	3	l/6	l/6	NUM
fis-4859	191	4	4l/6	4l/6	NUM
fis-4859	191	5	l/6	l/6	X
fis-4859	191	6	(	(	PUNCT
fis-4859	191	7	a	a	X
fis-4859	191	8	)	)	PUNCT
fis-4859	191	9	(	(	PUNCT
fis-4859	191	10	b	b	X
fis-4859	191	11	)	)	PUNCT
fis-4859	191	12	figure	figure	NOUN
fis-4859	191	13	4	4	NUM
fis-4859	191	14	:	:	PUNCT
fis-4859	191	15	cylindrical	cylindrical	ADJ
fis-4859	191	16	shell	shell	PROPN
fis-4859	191	17	numerical	numerical	PROPN
fis-4859	191	18	simulation	simulation	PROPN
fis-4859	191	19	(	(	PUNCT
fis-4859	191	20	a	a	X
fis-4859	191	21	)	)	PUNCT
fis-4859	191	22	fem	fem	NOUN
fis-4859	191	23	cylinder	cylinder	NOUN
fis-4859	191	24	model	model	NOUN
fis-4859	191	25	for	for	ADP
fis-4859	191	26	numerical	numerical	ADJ
fis-4859	191	27	validation	validation	NOUN
fis-4859	191	28	.	.	PUNCT
fis-4859	192	1	(	(	PUNCT
fis-4859	192	2	b	b	X
fis-4859	192	3	)	)	PUNCT
fis-4859	192	4	the	the	DET
fis-4859	192	5	fem	fem	NOUN
fis-4859	192	6	mesh	mesh	NOUN
fis-4859	192	7	model	model	NOUN
fis-4859	192	8	used	use	VERB
fis-4859	192	9	in	in	ADP
fis-4859	192	10	the	the	DET
fis-4859	192	11	numerical	numerical	PROPN
fis-4859	192	12	simulation	simulation	PROPN
fis-4859	192	13	.	.	PUNCT
fis-4859	193	1	fig	fig	NOUN
fis-4859	193	2	.	.	PUNCT
fis-4859	194	1	5	5	NUM
fis-4859	194	2	(	(	PUNCT
fis-4859	194	3	a	a	NOUN
fis-4859	194	4	)	)	PUNCT
fis-4859	194	5	shows	show	VERB
fis-4859	194	6	the	the	DET
fis-4859	194	7	curves	curve	NOUN
fis-4859	194	8	of	of	ADP
fis-4859	194	9	both	both	CCONJ
fis-4859	194	10	ki	ki	PROPN
fis-4859	194	11	and	and	CCONJ
fis-4859	194	12	kii	kii	PROPN
fis-4859	194	13	for	for	ADP
fis-4859	194	14	increasing	increase	VERB
fis-4859	194	15	tensile	tensile	NOUN
fis-4859	194	16	stress	stress	NOUN
fis-4859	194	17	from	from	ADP
fis-4859	194	18	experimental	experimental	ADJ
fis-4859	194	19	specimens	specimen	NOUN
fis-4859	194	20	ea30	ea30	PROPN
fis-4859	194	21	,	,	PUNCT
fis-4859	194	22	ea30	ea30	PROPN
fis-4859	194	23	-	-	PUNCT
fis-4859	194	24	1	1	NUM
fis-4859	194	25	,	,	PUNCT
fis-4859	194	26	s.	s.	PROPN
fis-4859	194	27	cao	cao	PROPN
fis-4859	194	28	et	et	PROPN
fis-4859	194	29	alii	alii	PROPN
fis-4859	194	30	,	,	PUNCT
fis-4859	194	31	frattura	frattura	PROPN
fis-4859	194	32	ed	ed	PROPN
fis-4859	194	33	integrità	integrità	PROPN
fis-4859	194	34	strutturale	strutturale	PROPN
fis-4859	194	35	,	,	PUNCT
fis-4859	194	36	69	69	NUM
fis-4859	194	37	(	(	PUNCT
fis-4859	194	38	2024	2024	NUM
fis-4859	194	39	)	)	PUNCT
fis-4859	194	40	1	1	NUM
fis-4859	194	41	-	-	SYM
fis-4859	194	42	17	17	NUM
fis-4859	194	43	;	;	PUNCT
fis-4859	194	44	doi	doi	NOUN
fis-4859	194	45	:	:	PUNCT
fis-4859	194	46	10.3221	10.3221	NUM
fis-4859	194	47	/	/	SYM
fis-4859	194	48	igf	igf	NOUN
fis-4859	194	49	-	-	PUNCT
fis-4859	194	50	esis.69.01	esis.69.01	PROPN
fis-4859	194	51	8	8	NUM
fis-4859	194	52	and	and	CCONJ
fis-4859	194	53	ea30	ea30	PROPN
fis-4859	194	54	-	-	PUNCT
fis-4859	194	55	2	2	PROPN
fis-4859	194	56	and	and	CCONJ
fis-4859	194	57	the	the	DET
fis-4859	194	58	numerical	numerical	ADJ
fis-4859	194	59	specimen	speciman	NOUN
fis-4859	194	60	na30	na30	PROPN
fis-4859	194	61	.	.	PUNCT
fis-4859	195	1	nonetheless	nonetheless	ADV
fis-4859	195	2	,	,	PUNCT
fis-4859	195	3	the	the	DET
fis-4859	195	4	curve	curve	NOUN
fis-4859	195	5	of	of	ADP
fis-4859	195	6	the	the	DET
fis-4859	195	7	numerical	numerical	ADJ
fis-4859	195	8	model	model	NOUN
fis-4859	195	9	is	be	AUX
fis-4859	195	10	a	a	DET
fis-4859	195	11	straight	straight	ADJ
fis-4859	195	12	line	line	NOUN
fis-4859	195	13	for	for	ADP
fis-4859	195	14	both	both	DET
fis-4859	195	15	ki	ki	PROPN
fis-4859	195	16	and	and	CCONJ
fis-4859	195	17	kii	kii	PROPN
fis-4859	195	18	,	,	PUNCT
fis-4859	195	19	but	but	CCONJ
fis-4859	195	20	they	they	PRON
fis-4859	195	21	exhibit	exhibit	VERB
fis-4859	195	22	fluctuations	fluctuation	NOUN
fis-4859	195	23	in	in	ADP
fis-4859	195	24	the	the	DET
fis-4859	195	25	experiments	experiment	NOUN
fis-4859	195	26	.	.	PUNCT
fis-4859	196	1	this	this	PRON
fis-4859	196	2	happens	happen	VERB
fis-4859	196	3	because	because	SCONJ
fis-4859	196	4	the	the	DET
fis-4859	196	5	deformation	deformation	NOUN
fis-4859	196	6	data	datum	NOUN
fis-4859	196	7	from	from	ADP
fis-4859	196	8	the	the	DET
fis-4859	196	9	numerical	numerical	PROPN
fis-4859	196	10	simulation	simulation	NOUN
fis-4859	196	11	is	be	AUX
fis-4859	196	12	smooth	smooth	ADJ
fis-4859	196	13	.	.	PUNCT
fis-4859	197	1	on	on	ADP
fis-4859	197	2	the	the	DET
fis-4859	197	3	contrary	contrary	NOUN
fis-4859	197	4	,	,	PUNCT
fis-4859	197	5	the	the	DET
fis-4859	197	6	experimental	experimental	ADJ
fis-4859	197	7	deformation	deformation	NOUN
fis-4859	197	8	data	datum	NOUN
fis-4859	197	9	are	be	AUX
fis-4859	197	10	affected	affect	VERB
fis-4859	197	11	by	by	ADP
fis-4859	197	12	noise	noise	NOUN
fis-4859	197	13	.	.	PUNCT
fis-4859	198	1	still	still	ADV
fis-4859	198	2	,	,	PUNCT
fis-4859	198	3	the	the	DET
fis-4859	198	4	sif	sif	NOUN
fis-4859	198	5	curves	curve	NOUN
fis-4859	198	6	of	of	ADP
fis-4859	198	7	experimental	experimental	ADJ
fis-4859	198	8	specimens	specimen	NOUN
fis-4859	198	9	agree	agree	VERB
fis-4859	198	10	with	with	ADP
fis-4859	198	11	the	the	DET
fis-4859	198	12	trend	trend	NOUN
fis-4859	198	13	of	of	ADP
fis-4859	198	14	the	the	DET
fis-4859	198	15	numerical	numerical	ADJ
fis-4859	198	16	results	result	NOUN
fis-4859	198	17	.	.	PUNCT
fis-4859	199	1	due	due	ADP
fis-4859	199	2	to	to	ADP
fis-4859	199	3	the	the	DET
fis-4859	199	4	uniaxial	uniaxial	ADJ
fis-4859	199	5	tension	tension	NOUN
fis-4859	199	6	,	,	PUNCT
fis-4859	199	7	we	we	PRON
fis-4859	199	8	expect	expect	VERB
fis-4859	199	9	a	a	DET
fis-4859	199	10	mode	mode	NOUN
fis-4859	199	11	i	i	PRON
fis-4859	199	12	crack	crack	VERB
fis-4859	199	13	.	.	PUNCT
fis-4859	200	1	our	our	PRON
fis-4859	200	2	results	result	NOUN
fis-4859	200	3	agree	agree	VERB
fis-4859	200	4	with	with	ADP
fis-4859	200	5	this	this	DET
fis-4859	200	6	expectation	expectation	NOUN
fis-4859	200	7	:	:	PUNCT
fis-4859	200	8	the	the	DET
fis-4859	200	9	mode	mode	NOUN
fis-4859	200	10	i	i	PRON
fis-4859	200	11	stress	stress	VERB
fis-4859	200	12	intensity	intensity	NOUN
fis-4859	200	13	factor	factor	NOUN
fis-4859	200	14	ki	ki	PROPN
fis-4859	200	15	shows	show	VERB
fis-4859	200	16	an	an	DET
fis-4859	200	17	upward	upward	ADJ
fis-4859	200	18	trend	trend	NOUN
fis-4859	200	19	,	,	PUNCT
fis-4859	200	20	while	while	SCONJ
fis-4859	200	21	the	the	DET
fis-4859	200	22	mode	mode	PROPN
fis-4859	200	23	ii	ii	PROPN
fis-4859	200	24	stress	stress	PROPN
fis-4859	200	25	intensity	intensity	NOUN
fis-4859	200	26	factor	factor	NOUN
fis-4859	200	27	kii	kii	PROPN
fis-4859	200	28	remains	remain	VERB
fis-4859	200	29	around	around	ADP
fis-4859	200	30	zero	zero	NUM
fis-4859	200	31	.	.	PUNCT
fis-4859	201	1	figure	figure	NOUN
fis-4859	201	2	5	5	NUM
fis-4859	201	3	:	:	PUNCT
fis-4859	201	4	stress	stress	NOUN
fis-4859	201	5	intensity	intensity	NOUN
fis-4859	201	6	factor	factor	NOUN
fis-4859	201	7	results	result	NOUN
fis-4859	201	8	of	of	ADP
fis-4859	201	9	cylindrical	cylindrical	ADJ
fis-4859	201	10	shell	shell	NOUN
fis-4859	201	11	.	.	PUNCT
fis-4859	202	1	(	(	PUNCT
fis-4859	202	2	a)sif	a)sif	NOUN
fis-4859	202	3	(	(	PUNCT
fis-4859	202	4	ki	ki	PROPN
fis-4859	202	5	,	,	PUNCT
fis-4859	202	6	kii)-stress	kii)-stress	PROPN
fis-4859	202	7	curves	curve	VERB
fis-4859	202	8	at	at	ADP
fis-4859	202	9	increasing	increase	VERB
fis-4859	202	10	tensile	tensile	NOUN
fis-4859	202	11	stress	stress	NOUN
fis-4859	202	12	for	for	ADP
fis-4859	202	13	specimens	specimen	NOUN
fis-4859	202	14	/	/	SYM
fis-4859	202	15	model	model	NOUN
fis-4859	202	16	with	with	ADP
fis-4859	202	17	center	center	ADJ
fis-4859	202	18	angle	angle	NOUN
fis-4859	202	19	2α=30º.	2α=30º.	PROPN
fis-4859	202	20	(	(	PUNCT
fis-4859	202	21	b	b	NOUN
fis-4859	202	22	)	)	PUNCT
fis-4859	202	23	dimensionless	dimensionless	NOUN
fis-4859	202	24	sif	sif	ADJ
fis-4859	202	25	comparison	comparison	NOUN
fis-4859	202	26	of	of	ADP
fis-4859	202	27	theory	theory	NOUN
fis-4859	202	28	,	,	PUNCT
fis-4859	202	29	experimental	experimental	ADJ
fis-4859	202	30	,	,	PUNCT
fis-4859	202	31	and	and	CCONJ
fis-4859	202	32	numerical	numerical	PROPN
fis-4859	202	33	simulation	simulation	NOUN
fis-4859	202	34	results	result	VERB
fis-4859	202	35	for	for	ADP
fis-4859	202	36	the	the	DET
fis-4859	202	37	cylindrical	cylindrical	ADJ
fis-4859	202	38	shell	shell	NOUN
fis-4859	202	39	.	.	PUNCT
fis-4859	203	1	the	the	DET
fis-4859	203	2	experimental	experimental	ADJ
fis-4859	203	3	,	,	PUNCT
fis-4859	203	4	numerical	numerical	ADJ
fis-4859	203	5	,	,	PUNCT
fis-4859	203	6	and	and	CCONJ
fis-4859	203	7	theoretical	theoretical	ADJ
fis-4859	203	8	predictions	prediction	NOUN
fis-4859	203	9	were	be	AUX
fis-4859	203	10	compared	compare	VERB
fis-4859	203	11	via	via	ADP
fis-4859	203	12	the	the	DET
fis-4859	203	13	dimensionless	dimensionless	NOUN
fis-4859	203	14	sif	sif	PROPN
fis-4859	203	15	f	f	PROPN
fis-4859	203	16	,	,	PUNCT
fis-4859	203	17	defined	define	VERB
fis-4859	203	18	as	as	SCONJ
fis-4859	203	19	follows	follow	VERB
fis-4859	203	20	:	:	PUNCT
fis-4859	203	21	i	i	PROPN
fis-4859	203	22	=	=	PROPN
fis-4859	203	23	k	k	X
fis-4859	203	24	/f	/f	VERB
fis-4859	204	1	aσ	aσ	PROPN
fis-4859	204	2	π	π	PROPN
fis-4859	204	3	(	(	PUNCT
fis-4859	204	4	19	19	NUM
fis-4859	204	5	)	)	PUNCT
fis-4859	204	6	tab	tab	NOUN
fis-4859	204	7	.	.	PUNCT
fis-4859	204	8	2	2	NUM
fis-4859	204	9	shows	show	VERB
fis-4859	204	10	the	the	DET
fis-4859	204	11	results	result	NOUN
fis-4859	204	12	of	of	ADP
fis-4859	204	13	all	all	DET
fis-4859	204	14	experimental	experimental	ADJ
fis-4859	204	15	specimens	specimen	NOUN
fis-4859	204	16	and	and	CCONJ
fis-4859	204	17	numerical	numerical	ADJ
fis-4859	204	18	models	model	NOUN
fis-4859	204	19	,	,	PUNCT
fis-4859	204	20	and	and	CCONJ
fis-4859	204	21	fig	fig	NOUN
fis-4859	204	22	.	.	PUNCT
fis-4859	205	1	5	5	NUM
fis-4859	205	2	(	(	PUNCT
fis-4859	205	3	b	b	NOUN
fis-4859	205	4	)	)	PUNCT
fis-4859	205	5	depicts	depict	VERB
fis-4859	205	6	the	the	DET
fis-4859	205	7	dimensionless	dimensionless	NOUN
fis-4859	205	8	sif	sif	NOUN
fis-4859	205	9	comparison	comparison	NOUN
fis-4859	205	10	of	of	ADP
fis-4859	205	11	theoretical	theoretical	ADJ
fis-4859	205	12	,	,	PUNCT
fis-4859	205	13	experimental	experimental	ADJ
fis-4859	205	14	,	,	PUNCT
fis-4859	205	15	and	and	CCONJ
fis-4859	205	16	numerical	numerical	PROPN
fis-4859	205	17	simulation	simulation	NOUN
fis-4859	205	18	results	result	VERB
fis-4859	205	19	.	.	PUNCT
fis-4859	206	1	from	from	ADP
fis-4859	206	2	the	the	DET
fis-4859	206	3	table	table	NOUN
fis-4859	206	4	,	,	PUNCT
fis-4859	206	5	the	the	DET
fis-4859	206	6	difference	difference	NOUN
fis-4859	206	7	between	between	ADP
fis-4859	206	8	experimental	experimental	ADJ
fis-4859	206	9	specimens	specimen	NOUN
fis-4859	206	10	,	,	PUNCT
fis-4859	206	11	numerical	numerical	ADJ
fis-4859	206	12	models	model	NOUN
fis-4859	206	13	,	,	PUNCT
fis-4859	206	14	and	and	CCONJ
fis-4859	206	15	theoretical	theoretical	ADJ
fis-4859	206	16	value	value	NOUN
fis-4859	206	17	with	with	ADP
fis-4859	206	18	small	small	ADJ
fis-4859	206	19	center	center	NOUN
fis-4859	206	20	angle	angle	NOUN
fis-4859	206	21	cracks	crack	NOUN
fis-4859	206	22	is	be	AUX
fis-4859	206	23	evidentially	evidentially	ADV
fis-4859	206	24	smaller	small	ADJ
fis-4859	206	25	than	than	ADP
fis-4859	206	26	for	for	ADP
fis-4859	206	27	the	the	DET
fis-4859	206	28	large	large	ADJ
fis-4859	206	29	center	center	NOUN
fis-4859	206	30	angle	angle	NOUN
fis-4859	206	31	cracks	crack	NOUN
fis-4859	206	32	,	,	PUNCT
fis-4859	206	33	which	which	DET
fis-4859	206	34	trend	trend	NOUN
fis-4859	206	35	is	be	AUX
fis-4859	206	36	more	more	ADV
fis-4859	206	37	apparent	apparent	ADJ
fis-4859	206	38	in	in	ADP
fis-4859	206	39	fig	fig	NOUN
fis-4859	206	40	.	.	PUNCT
fis-4859	207	1	5	5	NUM
fis-4859	207	2	(	(	PUNCT
fis-4859	207	3	b	b	NOUN
fis-4859	207	4	)	)	PUNCT
fis-4859	207	5	.	.	PUNCT
fis-4859	208	1	the	the	DET
fis-4859	208	2	dimensionless	dimensionless	NOUN
fis-4859	208	3	sif	sif	PROPN
fis-4859	208	4	f	f	PROPN
fis-4859	208	5	curve	curve	NOUN
fis-4859	208	6	of	of	ADP
fis-4859	208	7	forman	forman	PROPN
fis-4859	208	8	,	,	PUNCT
fis-4859	208	9	r.	r.	PROPN
fis-4859	208	10	g.	g.	PROPN
fis-4859	209	1	[	[	X
fis-4859	209	2	38	38	NUM
fis-4859	209	3	]	]	PUNCT
fis-4859	209	4	changing	change	VERB
fis-4859	209	5	by	by	ADP
fis-4859	209	6	crack	crack	NOUN
fis-4859	209	7	center	center	NOUN
fis-4859	209	8	angle	angle	NOUN
fis-4859	209	9	2α	2α	NOUN
fis-4859	209	10	in	in	ADP
fis-4859	209	11	fig	fig	NOUN
fis-4859	209	12	.	.	PUNCT
fis-4859	210	1	5	5	NUM
fis-4859	210	2	(	(	PUNCT
fis-4859	210	3	b	b	NOUN
fis-4859	210	4	)	)	PUNCT
fis-4859	210	5	shows	show	VERB
fis-4859	210	6	an	an	DET
fis-4859	210	7	upward	upward	ADJ
fis-4859	210	8	trend	trend	NOUN
fis-4859	210	9	.	.	PUNCT
fis-4859	211	1	the	the	DET
fis-4859	211	2	experimental	experimental	ADJ
fis-4859	211	3	and	and	CCONJ
fis-4859	211	4	numerical	numerical	ADJ
fis-4859	211	5	results	result	NOUN
fis-4859	211	6	are	be	AUX
fis-4859	211	7	scattered	scatter	VERB
fis-4859	211	8	around	around	ADP
fis-4859	211	9	this	this	DET
fis-4859	211	10	theoretical	theoretical	ADJ
fis-4859	211	11	solution	solution	NOUN
fis-4859	211	12	.	.	PUNCT
fis-4859	212	1	the	the	DET
fis-4859	212	2	average	average	ADJ
fis-4859	212	3	result	result	NOUN
fis-4859	212	4	of	of	ADP
fis-4859	212	5	the	the	DET
fis-4859	212	6	repeated	repeat	VERB
fis-4859	212	7	experiments	experiment	NOUN
fis-4859	212	8	(	(	PUNCT
fis-4859	212	9	with	with	ADP
fis-4859	212	10	the	the	DET
fis-4859	212	11	same	same	ADJ
fis-4859	212	12	crack	crack	NOUN
fis-4859	212	13	center	center	NOUN
fis-4859	212	14	angle	angle	NOUN
fis-4859	212	15	)	)	PUNCT
fis-4859	212	16	is	be	AUX
fis-4859	212	17	also	also	ADV
fis-4859	212	18	added	add	VERB
fis-4859	212	19	to	to	ADP
fis-4859	212	20	fig	fig	NOUN
fis-4859	212	21	.	.	PUNCT
fis-4859	213	1	5	5	NUM
fis-4859	213	2	(	(	PUNCT
fis-4859	213	3	b	b	NOUN
fis-4859	213	4	)	)	PUNCT
fis-4859	213	5	to	to	PART
fis-4859	213	6	highlight	highlight	VERB
fis-4859	213	7	the	the	DET
fis-4859	213	8	overall	overall	ADJ
fis-4859	213	9	trend	trend	NOUN
fis-4859	213	10	of	of	ADP
fis-4859	213	11	all	all	DET
fis-4859	213	12	experimental	experimental	ADJ
fis-4859	213	13	and	and	CCONJ
fis-4859	213	14	numerical	numerical	ADJ
fis-4859	213	15	outcomes	outcome	NOUN
fis-4859	213	16	.	.	PUNCT
fis-4859	214	1	when	when	SCONJ
fis-4859	214	2	the	the	DET
fis-4859	214	3	crack	crack	NOUN
fis-4859	214	4	central	central	ADJ
fis-4859	214	5	angle	angle	NOUN
fis-4859	214	6	is	be	AUX
fis-4859	214	7	between	between	ADP
fis-4859	214	8	30º	30º	NOUN
fis-4859	214	9	and	and	CCONJ
fis-4859	214	10	120º	120º	NOUN
fis-4859	214	11	,	,	PUNCT
fis-4859	214	12	the	the	DET
fis-4859	214	13	mean	mean	ADJ
fis-4859	214	14	results	result	NOUN
fis-4859	214	15	of	of	ADP
fis-4859	214	16	the	the	DET
fis-4859	214	17	experimental	experimental	ADJ
fis-4859	214	18	and	and	CCONJ
fis-4859	214	19	numerical	numerical	ADJ
fis-4859	214	20	results	result	NOUN
fis-4859	214	21	are	be	AUX
fis-4859	214	22	close	close	ADJ
fis-4859	214	23	to	to	ADP
fis-4859	214	24	the	the	DET
fis-4859	214	25	theoretical	theoretical	ADJ
fis-4859	214	26	curve	curve	NOUN
fis-4859	214	27	.	.	PUNCT
fis-4859	215	1	at	at	ADP
fis-4859	215	2	2α=150º	2α=150º	NUM
fis-4859	215	3	and	and	CCONJ
fis-4859	215	4	2α	2α	NOUN
fis-4859	215	5	=	=	SYM
fis-4859	215	6	180º	180º	PROPN
fis-4859	215	7	,	,	PUNCT
fis-4859	215	8	all	all	DET
fis-4859	215	9	testing	testing	NOUN
fis-4859	215	10	results	result	NOUN
fis-4859	215	11	are	be	AUX
fis-4859	215	12	smaller	small	ADJ
fis-4859	215	13	than	than	ADP
fis-4859	215	14	the	the	DET
fis-4859	215	15	theoretical	theoretical	ADJ
fis-4859	215	16	value	value	NOUN
fis-4859	215	17	,	,	PUNCT
fis-4859	215	18	which	which	PRON
fis-4859	215	19	can	can	AUX
fis-4859	215	20	be	be	AUX
fis-4859	215	21	reflected	reflect	VERB
fis-4859	215	22	by	by	ADP
fis-4859	215	23	results	result	NOUN
fis-4859	215	24	from	from	ADP
fis-4859	215	25	numerical	numerical	ADJ
fis-4859	215	26	simulation	simulation	PROPN
fis-4859	215	27	.	.	PUNCT
fis-4859	216	1	crack	crack	NOUN
fis-4859	216	2	center	center	NOUN
fis-4859	216	3	angle	angle	NOUN
fis-4859	216	4	2α	2α	PROPN
fis-4859	216	5	30º	30º	NOUN
fis-4859	216	6	60º	60º	PROPN
fis-4859	216	7	90º	90º	PROPN
fis-4859	217	1	120º	120º	PROPN
fis-4859	217	2	150º	150º	PROPN
fis-4859	217	3	180º	180º	PROPN
fis-4859	217	4	experimental	experimental	ADJ
fis-4859	217	5	1.15	1.15	NUM
fis-4859	217	6	1.18	1.18	NUM
fis-4859	217	7	1.34	1.34	NUM
fis-4859	217	8	2.23	2.23	NUM
fis-4859	217	9	2.02	2.02	NUM
fis-4859	217	10	2.48	2.48	NUM
fis-4859	217	11	1.08	1.08	NUM
fis-4859	217	12	1.03	1.03	NUM
fis-4859	217	13	1.70	1.70	NUM
fis-4859	217	14	1.57	1.57	NUM
fis-4859	217	15	2.44	2.44	NUM
fis-4859	217	16	2.59	2.59	NUM
fis-4859	217	17	0.83	0.83	NUM
fis-4859	217	18	1.75	1.75	NUM
fis-4859	217	19	1.20	1.20	NUM
fis-4859	217	20	1.41	1.41	NUM
fis-4859	217	21	2.03	2.03	NUM
fis-4859	217	22	2.46	2.46	NUM
fis-4859	217	23	numerical	numerical	ADJ
fis-4859	217	24	1.15	1.15	NUM
fis-4859	217	25	1.32	1.32	NUM
fis-4859	217	26	1.50	1.50	NUM
fis-4859	217	27	1.80	1.80	NUM
fis-4859	217	28	2.24	2.24	NUM
fis-4859	217	29	2.73	2.73	NUM
fis-4859	217	30	forman	forman	NOUN
fis-4859	217	31	,	,	PUNCT
fis-4859	217	32	r.	r.	PROPN
fis-4859	217	33	g.	g.	PROPN
fis-4859	217	34	1.10	1.10	NUM
fis-4859	217	35	1.27	1.27	NUM
fis-4859	217	36	1.50	1.50	NUM
fis-4859	217	37	1.89	1.89	NUM
fis-4859	217	38	2.53	2.53	NUM
fis-4859	217	39	3.56	3.56	NUM
fis-4859	217	40	table	table	NOUN
fis-4859	217	41	2	2	NUM
fis-4859	217	42	:	:	PUNCT
fis-4859	217	43	dimensionless	dimensionless	NOUN
fis-4859	217	44	sif	sif	NOUN
fis-4859	217	45	results	result	NOUN
fis-4859	217	46	of	of	ADP
fis-4859	217	47	cylindrical	cylindrical	ADJ
fis-4859	217	48	experimental	experimental	ADJ
fis-4859	217	49	specimens	specimen	NOUN
fis-4859	217	50	,	,	PUNCT
fis-4859	217	51	numerical	numerical	ADJ
fis-4859	217	52	models	model	NOUN
fis-4859	217	53	,	,	PUNCT
fis-4859	217	54	and	and	CCONJ
fis-4859	217	55	forman	forman	PROPN
fis-4859	217	56	,	,	PUNCT
fis-4859	217	57	r.	r.	PROPN
fis-4859	217	58	g.	g.	PROPN
fis-4859	217	59	’s	’s	PART
fis-4859	217	60	research	research	NOUN
fis-4859	217	61	[	[	X
fis-4859	217	62	38	38	NUM
fis-4859	217	63	]	]	PUNCT
fis-4859	217	64	.	.	PUNCT
fis-4859	218	1	s.	s.	PROPN
fis-4859	218	2	cao	cao	PROPN
fis-4859	218	3	et	et	PROPN
fis-4859	218	4	alii	alii	PROPN
fis-4859	218	5	,	,	PUNCT
fis-4859	218	6	frattura	frattura	PROPN
fis-4859	218	7	ed	ed	PROPN
fis-4859	218	8	integrità	integrità	PROPN
fis-4859	218	9	strutturale	strutturale	PROPN
fis-4859	218	10	,	,	PUNCT
fis-4859	218	11	69	69	NUM
fis-4859	218	12	(	(	PUNCT
fis-4859	218	13	2024	2024	NUM
fis-4859	218	14	)	)	PUNCT
fis-4859	218	15	1	1	NUM
fis-4859	218	16	-	-	SYM
fis-4859	218	17	17	17	NUM
fis-4859	218	18	;	;	PUNCT
fis-4859	218	19	doi	doi	NOUN
fis-4859	218	20	:	:	PUNCT
fis-4859	218	21	10.3221	10.3221	NUM
fis-4859	218	22	/	/	SYM
fis-4859	218	23	igf	igf	PROPN
fis-4859	218	24	-	-	PUNCT
fis-4859	218	25	esis.69.01	esis.69.01	ADJ
fis-4859	218	26	9	9	NUM
fis-4859	218	27	spherical	spherical	ADJ
fis-4859	218	28	shells	shell	NOUN
fis-4859	218	29	pherical	pherical	ADJ
fis-4859	218	30	shell	shell	NOUN
fis-4859	218	31	structures	structure	NOUN
fis-4859	218	32	are	be	AUX
fis-4859	218	33	used	use	VERB
fis-4859	218	34	in	in	ADP
fis-4859	218	35	this	this	DET
fis-4859	218	36	chapter	chapter	NOUN
fis-4859	218	37	to	to	PART
fis-4859	218	38	verify	verify	VERB
fis-4859	218	39	the	the	DET
fis-4859	218	40	suitability	suitability	NOUN
fis-4859	218	41	of	of	ADP
fis-4859	218	42	the	the	DET
fis-4859	218	43	displacement	displacement	ADJ
fis-4859	218	44	method	method	NOUN
fis-4859	218	45	for	for	ADP
fis-4859	218	46	nondevelopable	nondevelopable	ADJ
fis-4859	218	47	surfaces	surface	NOUN
fis-4859	218	48	.	.	PUNCT
fis-4859	219	1	erdogan	erdogan	PROPN
fis-4859	219	2	,	,	PUNCT
fis-4859	219	3	f.	f.	PROPN
fis-4859	220	1	[	[	X
fis-4859	220	2	46	46	NUM
fis-4859	220	3	]	]	PUNCT
fis-4859	220	4	research	research	NOUN
fis-4859	220	5	the	the	DET
fis-4859	220	6	sif	sif	NOUN
fis-4859	220	7	for	for	ADP
fis-4859	220	8	the	the	DET
fis-4859	220	9	crack	crack	NOUN
fis-4859	220	10	on	on	ADP
fis-4859	220	11	a	a	DET
fis-4859	220	12	sphere	sphere	NOUN
fis-4859	220	13	loaded	load	VERB
fis-4859	220	14	by	by	ADP
fis-4859	220	15	a	a	DET
fis-4859	220	16	uniform	uniform	ADJ
fis-4859	220	17	membrane	membrane	NOUN
fis-4859	220	18	load	load	NOUN
fis-4859	220	19	.	.	PUNCT
fis-4859	221	1	to	to	PART
fis-4859	221	2	compare	compare	VERB
fis-4859	221	3	the	the	DET
fis-4859	221	4	results	result	NOUN
fis-4859	221	5	of	of	ADP
fis-4859	221	6	erdogan	erdogan	PROPN
fis-4859	221	7	’s	’s	PART
fis-4859	221	8	research	research	NOUN
fis-4859	221	9	,	,	PUNCT
fis-4859	221	10	numerical	numerical	ADJ
fis-4859	221	11	simulations	simulation	NOUN
fis-4859	221	12	are	be	AUX
fis-4859	221	13	conducted	conduct	VERB
fis-4859	221	14	by	by	ADP
fis-4859	221	15	abaqus	abaqus	NOUN
fis-4859	221	16	2017	2017	NUM
fis-4859	221	17	with	with	ADP
fis-4859	221	18	a	a	DET
fis-4859	221	19	linear	linear	ADJ
fis-4859	221	20	elastic	elastic	ADJ
fis-4859	221	21	constitutive	constitutive	ADJ
fis-4859	221	22	equation	equation	NOUN
fis-4859	221	23	.	.	PUNCT
fis-4859	222	1	the	the	DET
fis-4859	222	2	numerical	numerical	PROPN
fis-4859	222	3	simulation	simulation	PROPN
fis-4859	222	4	model	model	NOUN
fis-4859	222	5	dimensions	dimension	NOUN
fis-4859	222	6	and	and	CCONJ
fis-4859	222	7	mechanical	mechanical	ADJ
fis-4859	222	8	properties	property	NOUN
fis-4859	222	9	are	be	AUX
fis-4859	222	10	shown	show	VERB
fis-4859	222	11	in	in	ADP
fis-4859	222	12	tab	tab	NOUN
fis-4859	222	13	.	.	PUNCT
fis-4859	223	1	3	3	NUM
fis-4859	223	2	,	,	PUNCT
fis-4859	223	3	which	which	PRON
fis-4859	223	4	refers	refer	VERB
fis-4859	223	5	to	to	ADP
fis-4859	223	6	the	the	DET
fis-4859	223	7	properties	property	NOUN
fis-4859	223	8	of	of	ADP
fis-4859	223	9	spherical	spherical	ADJ
fis-4859	223	10	shell	shell	NOUN
fis-4859	223	11	experimental	experimental	ADJ
fis-4859	223	12	specimens	specimen	NOUN
fis-4859	223	13	and	and	CCONJ
fis-4859	223	14	the	the	DET
fis-4859	223	15	research	research	NOUN
fis-4859	223	16	of	of	ADP
fis-4859	223	17	erdogan	erdogan	PROPN
fis-4859	223	18	,	,	PUNCT
fis-4859	223	19	f.	f.	PROPN
fis-4859	223	20	,	,	PUNCT
fis-4859	223	21	and	and	CCONJ
fis-4859	223	22	the	the	DET
fis-4859	223	23	max	max	PROPN
fis-4859	223	24	crack	crack	NOUN
fis-4859	223	25	length	length	NOUN
fis-4859	223	26	of	of	ADP
fis-4859	223	27	erdogan	erdogan	ADJ
fis-4859	223	28	,	,	PUNCT
fis-4859	223	29	f.	f.	PROPN
fis-4859	223	30	’s	’s	PART
fis-4859	223	31	research	research	NOUN
fis-4859	223	32	is	be	AUX
fis-4859	223	33	78.97º	78.97º	PROPN
fis-4859	223	34	,	,	PUNCT
fis-4859	223	35	the	the	DET
fis-4859	223	36	crack	crack	NOUN
fis-4859	223	37	length	length	NOUN
fis-4859	223	38	2α	2α	NOUN
fis-4859	223	39	of	of	ADP
fis-4859	223	40	models	model	NOUN
fis-4859	223	41	is	be	AUX
fis-4859	223	42	set	set	VERB
fis-4859	223	43	as	as	ADP
fis-4859	223	44	16º	16º	NOUN
fis-4859	223	45	,	,	PUNCT
fis-4859	223	46	32º	32º	NOUN
fis-4859	223	47	,	,	PUNCT
fis-4859	223	48	48º	48º	NUM
fis-4859	223	49	,	,	PUNCT
fis-4859	223	50	64º	64º	NOUN
fis-4859	223	51	,	,	PUNCT
fis-4859	223	52	80º.	80º.	NUM
fis-4859	223	53	the	the	DET
fis-4859	223	54	setting	setting	NOUN
fis-4859	223	55	of	of	ADP
fis-4859	223	56	boundary	boundary	ADJ
fis-4859	223	57	conditions	condition	NOUN
fis-4859	223	58	is	be	AUX
fis-4859	223	59	shown	show	VERB
fis-4859	223	60	in	in	ADP
fis-4859	223	61	fig	fig	NOUN
fis-4859	223	62	.	.	PUNCT
fis-4859	224	1	6(a	6(a	NUM
fis-4859	224	2	)	)	PUNCT
fis-4859	224	3	;	;	PUNCT
fis-4859	224	4	at	at	ADP
fis-4859	224	5	the	the	DET
fis-4859	224	6	bottom	bottom	NOUN
fis-4859	224	7	of	of	ADP
fis-4859	224	8	the	the	DET
fis-4859	224	9	spherical	spherical	ADJ
fis-4859	224	10	model	model	NOUN
fis-4859	224	11	,	,	PUNCT
fis-4859	224	12	the	the	DET
fis-4859	224	13	dof	dof	NOUN
fis-4859	224	14	of	of	ADP
fis-4859	224	15	the	the	DET
fis-4859	224	16	vertical	vertical	ADJ
fis-4859	224	17	direction	direction	NOUN
fis-4859	224	18	is	be	AUX
fis-4859	224	19	fixed	fix	VERB
fis-4859	224	20	,	,	PUNCT
fis-4859	224	21	and	and	CCONJ
fis-4859	224	22	the	the	DET
fis-4859	224	23	total	total	ADJ
fis-4859	224	24	membrane	membrane	NOUN
fis-4859	224	25	force	force	NOUN
fis-4859	224	26	perpendicular	perpendicular	NOUN
fis-4859	224	27	to	to	ADP
fis-4859	224	28	the	the	DET
fis-4859	224	29	crack	crack	NOUN
fis-4859	224	30	varies	vary	VERB
fis-4859	224	31	from	from	ADP
fis-4859	224	32	0	0	NUM
fis-4859	224	33	n	n	CCONJ
fis-4859	224	34	to	to	ADP
fis-4859	224	35	300	300	NUM
fis-4859	224	36	n	n	NOUN
fis-4859	224	37	during	during	ADP
fis-4859	224	38	300	300	NUM
fis-4859	224	39	s.	s.	NOUN
fis-4859	224	40	the	the	DET
fis-4859	224	41	finite	finite	PROPN
fis-4859	224	42	element	element	NOUN
fis-4859	224	43	mesh	mesh	NOUN
fis-4859	224	44	type	type	NOUN
fis-4859	224	45	in	in	ADP
fis-4859	224	46	fig	fig	NOUN
fis-4859	224	47	.	.	PUNCT
fis-4859	225	1	6	6	NUM
fis-4859	225	2	(	(	PUNCT
fis-4859	225	3	b	b	NOUN
fis-4859	225	4	)	)	PUNCT
fis-4859	225	5	is	be	AUX
fis-4859	225	6	hexahedral	hexahedral	ADJ
fis-4859	225	7	(	(	PUNCT
fis-4859	225	8	c3d8r	c3d8r	NUM
fis-4859	225	9	)	)	PUNCT
fis-4859	225	10	,	,	PUNCT
fis-4859	225	11	and	and	CCONJ
fis-4859	225	12	the	the	DET
fis-4859	225	13	characteristic	characteristic	ADJ
fis-4859	225	14	length	length	NOUN
fis-4859	225	15	of	of	ADP
fis-4859	225	16	the	the	DET
fis-4859	225	17	mesh	mesh	NOUN
fis-4859	225	18	reads	read	VERB
fis-4859	225	19	1.25	1.25	NUM
fis-4859	225	20	mm	mm	NOUN
fis-4859	225	21	.	.	PUNCT
fis-4859	226	1	modulus	modulus	PROPN
fis-4859	226	2	of	of	ADP
fis-4859	226	3	elasticity	elasticity	NOUN
fis-4859	226	4	e	e	PROPN
fis-4859	227	1	[	[	X
fis-4859	227	2	mpa	mpa	X
fis-4859	227	3	]	]	X
fis-4859	227	4	poisson	poisson	PROPN
fis-4859	227	5	’s	’s	PART
fis-4859	227	6	ratio	ratio	NOUN
fis-4859	227	7	ν	ν	PROPN
fis-4859	227	8	thickness	thickness	NOUN
fis-4859	227	9	h	h	NOUN
fis-4859	228	1	[	[	X
fis-4859	228	2	mm	mm	X
fis-4859	228	3	]	]	X
fis-4859	228	4	radius	radius	NOUN
fis-4859	228	5	r	r	NOUN
fis-4859	228	6	[	[	X
fis-4859	228	7	mm	mm	X
fis-4859	228	8	]	]	X
fis-4859	228	9	3300	3300	NUM
fis-4859	228	10	0.33	0.33	NUM
fis-4859	228	11	5.0	5.0	NUM
fis-4859	228	12	100.0	100.0	NUM
fis-4859	228	13	table	table	NOUN
fis-4859	228	14	3	3	NUM
fis-4859	228	15	:	:	PUNCT
fis-4859	228	16	the	the	DET
fis-4859	228	17	material	material	NOUN
fis-4859	228	18	parameters	parameter	NOUN
fis-4859	228	19	and	and	CCONJ
fis-4859	228	20	geometric	geometric	ADJ
fis-4859	228	21	properties	property	NOUN
fis-4859	228	22	of	of	ADP
fis-4859	228	23	the	the	DET
fis-4859	228	24	spherical	spherical	ADJ
fis-4859	228	25	model	model	NOUN
fis-4859	228	26	.	.	PUNCT
fis-4859	229	1	(	(	PUNCT
fis-4859	229	2	a	a	X
fis-4859	229	3	)	)	PUNCT
fis-4859	229	4	(	(	PUNCT
fis-4859	229	5	b	b	NOUN
fis-4859	229	6	)	)	PUNCT
fis-4859	229	7	n	n	CCONJ
fis-4859	229	8	n	n	NOUN
fis-4859	229	9	2α	2α	NOUN
fis-4859	229	10	r	r	NOUN
fis-4859	229	11	figure	figure	NOUN
fis-4859	229	12	6	6	NUM
fis-4859	229	13	:	:	PUNCT
fis-4859	229	14	spherical	spherical	ADJ
fis-4859	229	15	shell	shell	NOUN
fis-4859	229	16	numerical	numerical	PROPN
fis-4859	229	17	simulation	simulation	PROPN
fis-4859	229	18	(	(	PUNCT
fis-4859	229	19	a	a	X
fis-4859	229	20	)	)	PUNCT
fis-4859	229	21	fem	fem	NOUN
fis-4859	229	22	spherical	spherical	ADJ
fis-4859	229	23	model	model	NOUN
fis-4859	229	24	for	for	ADP
fis-4859	229	25	numerical	numerical	ADJ
fis-4859	229	26	validation	validation	NOUN
fis-4859	229	27	.	.	PUNCT
fis-4859	230	1	(	(	PUNCT
fis-4859	230	2	b	b	X
fis-4859	230	3	)	)	PUNCT
fis-4859	230	4	the	the	DET
fis-4859	230	5	fem	fem	NOUN
fis-4859	230	6	mesh	mesh	NOUN
fis-4859	230	7	model	model	NOUN
fis-4859	230	8	used	use	VERB
fis-4859	230	9	in	in	ADP
fis-4859	230	10	the	the	DET
fis-4859	230	11	numerical	numerical	PROPN
fis-4859	230	12	simulation	simulation	PROPN
fis-4859	230	13	.	.	PUNCT
fis-4859	231	1	crack	crack	NOUN
fis-4859	231	2	center	center	NOUN
fis-4859	231	3	angle	angle	NOUN
fis-4859	231	4	2α	2α	PROPN
fis-4859	231	5	16º	16º	PROPN
fis-4859	231	6	32º	32º	NOUN
fis-4859	231	7	48º	48º	NOUN
fis-4859	231	8	64º	64º	NOUN
fis-4859	231	9	80º	80º	NUM
fis-4859	231	10	numerical	numerical	VERB
fis-4859	231	11	1.90	1.90	NUM
fis-4859	231	12	1.90	1.90	NUM
fis-4859	231	13	2.65	2.65	NUM
fis-4859	231	14	3.64	3.64	NUM
fis-4859	231	15	4.63	4.63	NUM
fis-4859	231	16	erdogan	erdogan	NOUN
fis-4859	231	17	,	,	PUNCT
fis-4859	231	18	f.	f.	NOUN
fis-4859	231	19	1.26	1.26	NUM
fis-4859	231	20	1.80	1.80	NUM
fis-4859	231	21	2.45	2.45	NUM
fis-4859	231	22	3.19	3.19	NUM
fis-4859	231	23	4.00	4.00	NUM
fis-4859	231	24	table	table	NOUN
fis-4859	231	25	4	4	NUM
fis-4859	231	26	:	:	PUNCT
fis-4859	231	27	dimensionless	dimensionless	NOUN
fis-4859	231	28	sif	sif	NOUN
fis-4859	231	29	results	result	NOUN
fis-4859	231	30	of	of	ADP
fis-4859	231	31	numerical	numerical	ADJ
fis-4859	231	32	spherical	spherical	ADJ
fis-4859	231	33	models	model	NOUN
fis-4859	231	34	,	,	PUNCT
fis-4859	231	35	and	and	CCONJ
fis-4859	231	36	the	the	DET
fis-4859	231	37	erdogan	erdogan	NOUN
fis-4859	231	38	,	,	PUNCT
fis-4859	231	39	f.	f.	PROPN
fis-4859	231	40	’s	’s	PART
fis-4859	231	41	research	research	NOUN
fis-4859	231	42	figure	figure	NOUN
fis-4859	231	43	7	7	NUM
fis-4859	231	44	:	:	PUNCT
fis-4859	231	45	dimensionless	dimensionless	NOUN
fis-4859	231	46	sif	sif	ADJ
fis-4859	231	47	comparison	comparison	NOUN
fis-4859	231	48	of	of	ADP
fis-4859	231	49	theory	theory	NOUN
fis-4859	231	50	and	and	CCONJ
fis-4859	231	51	numerical	numerical	PROPN
fis-4859	231	52	simulation	simulation	PROPN
fis-4859	231	53	results	result	VERB
fis-4859	231	54	for	for	ADP
fis-4859	231	55	a	a	DET
fis-4859	231	56	spherical	spherical	ADJ
fis-4859	231	57	shell	shell	NOUN
fis-4859	231	58	.	.	PUNCT
fis-4859	232	1	the	the	DET
fis-4859	232	2	results	result	NOUN
fis-4859	232	3	of	of	ADP
fis-4859	232	4	dimensionless	dimensionless	NOUN
fis-4859	232	5	sif	sif	NOUN
fis-4859	232	6	detected	detect	VERB
fis-4859	232	7	by	by	ADP
fis-4859	232	8	the	the	DET
fis-4859	232	9	new	new	ADJ
fis-4859	232	10	method	method	NOUN
fis-4859	232	11	are	be	AUX
fis-4859	232	12	summarized	summarize	VERB
fis-4859	232	13	in	in	ADP
fis-4859	232	14	tab	tab	NOUN
fis-4859	232	15	.	.	PUNCT
fis-4859	233	1	4	4	NUM
fis-4859	233	2	and	and	CCONJ
fis-4859	233	3	fig	fig	NOUN
fis-4859	233	4	.	.	PUNCT
fis-4859	234	1	7	7	NUM
fis-4859	234	2	;	;	PUNCT
fis-4859	234	3	the	the	DET
fis-4859	234	4	dimensionless	dimensionless	NOUN
fis-4859	234	5	sif	sif	PROPN
fis-4859	234	6	f	f	PROPN
fis-4859	234	7	of	of	ADP
fis-4859	234	8	erdogan	erdogan	PROPN
fis-4859	234	9	,	,	PUNCT
fis-4859	234	10	f.	f.	PROPN
fis-4859	234	11	in	in	ADP
fis-4859	234	12	the	the	DET
fis-4859	234	13	table	table	NOUN
fis-4859	234	14	is	be	AUX
fis-4859	234	15	calculated	calculate	VERB
fis-4859	234	16	by	by	ADP
fis-4859	234	17	linear	linear	PROPN
fis-4859	234	18	interpolation	interpolation	NOUN
fis-4859	234	19	.	.	PUNCT
fis-4859	235	1	according	accord	VERB
fis-4859	235	2	to	to	ADP
fis-4859	235	3	fig	fig	NOUN
fis-4859	235	4	.	.	PUNCT
fis-4859	235	5	7	7	NUM
fis-4859	235	6	the	the	DET
fis-4859	235	7	method	method	NOUN
fis-4859	235	8	can	can	AUX
fis-4859	235	9	be	be	AUX
fis-4859	235	10	used	use	VERB
fis-4859	235	11	for	for	ADP
fis-4859	235	12	nons	non	NOUN
fis-4859	235	13	s.	s.	PROPN
fis-4859	235	14	cao	cao	PROPN
fis-4859	235	15	et	et	PROPN
fis-4859	235	16	alii	alii	PROPN
fis-4859	235	17	,	,	PUNCT
fis-4859	235	18	frattura	frattura	PROPN
fis-4859	235	19	ed	ed	PROPN
fis-4859	235	20	integrità	integrità	PROPN
fis-4859	235	21	strutturale	strutturale	PROPN
fis-4859	235	22	,	,	PUNCT
fis-4859	235	23	69	69	NUM
fis-4859	235	24	(	(	PUNCT
fis-4859	235	25	2024	2024	NUM
fis-4859	235	26	)	)	PUNCT
fis-4859	235	27	1	1	NUM
fis-4859	235	28	-	-	SYM
fis-4859	235	29	17	17	NUM
fis-4859	235	30	;	;	PUNCT
fis-4859	235	31	doi	doi	NOUN
fis-4859	235	32	:	:	PUNCT
fis-4859	235	33	10.3221	10.3221	NUM
fis-4859	235	34	/	/	SYM
fis-4859	235	35	igf	igf	NOUN
fis-4859	235	36	-	-	PUNCT
fis-4859	235	37	esis.69.01	esis.69.01	PROPN
fis-4859	235	38	10	10	NUM
fis-4859	235	39	developable	developable	ADJ
fis-4859	235	40	surfaces	surface	NOUN
fis-4859	235	41	;	;	PUNCT
fis-4859	235	42	the	the	DET
fis-4859	235	43	result	result	NOUN
fis-4859	235	44	of	of	ADP
fis-4859	235	45	dimensionless	dimensionless	NOUN
fis-4859	235	46	sifs	sif	NOUN
fis-4859	235	47	meets	meet	VERB
fis-4859	235	48	the	the	DET
fis-4859	235	49	result	result	NOUN
fis-4859	235	50	of	of	ADP
fis-4859	235	51	erdogan	erdogan	ADJ
fis-4859	235	52	,	,	PUNCT
fis-4859	235	53	f.	f.	PROPN
fis-4859	235	54	’s	’s	PROPN
fis-4859	235	55	well	well	ADV
fis-4859	235	56	between	between	ADP
fis-4859	235	57	30º	30º	NOUN
fis-4859	235	58	to	to	ADP
fis-4859	235	59	60º	60º	NUM
fis-4859	235	60	,	,	PUNCT
fis-4859	235	61	and	and	CCONJ
fis-4859	235	62	the	the	DET
fis-4859	235	63	values	value	NOUN
fis-4859	235	64	are	be	AUX
fis-4859	235	65	all	all	ADV
fis-4859	235	66	larger	large	ADJ
fis-4859	235	67	than	than	ADP
fis-4859	235	68	erdogan	erdogan	ADJ
fis-4859	235	69	,	,	PUNCT
fis-4859	235	70	f.	f.	PROPN
fis-4859	235	71	for	for	ADP
fis-4859	235	72	other	other	ADJ
fis-4859	235	73	crack	crack	NOUN
fis-4859	235	74	lengths	length	NOUN
fis-4859	235	75	.	.	PUNCT
fis-4859	236	1	convergence	convergence	NOUN
fis-4859	236	2	features	feature	NOUN
fis-4859	236	3	ased	ase	VERB
fis-4859	236	4	on	on	ADP
fis-4859	236	5	the	the	DET
fis-4859	236	6	methodology	methodology	NOUN
fis-4859	236	7	section	section	NOUN
fis-4859	236	8	,	,	PUNCT
fis-4859	236	9	the	the	DET
fis-4859	236	10	f	f	PROPN
fis-4859	236	11	dimensionless	dimensionless	NOUN
fis-4859	236	12	sif	sif	NOUN
fis-4859	236	13	is	be	AUX
fis-4859	236	14	affected	affect	VERB
fis-4859	236	15	by	by	ADP
fis-4859	236	16	tn	tn	NOUN
fis-4859	236	17	number	number	NOUN
fis-4859	236	18	of	of	ADP
fis-4859	236	19	terms	term	NOUN
fis-4859	236	20	in	in	ADP
fis-4859	236	21	the	the	DET
fis-4859	236	22	truncated	truncate	VERB
fis-4859	236	23	williams	williams	PROPN
fis-4859	236	24	expansion	expansion	PROPN
fis-4859	236	25	,	,	PUNCT
fis-4859	236	26	the	the	DET
fis-4859	236	27	dn	dn	ADJ
fis-4859	236	28	number	number	NOUN
fis-4859	236	29	of	of	ADP
fis-4859	236	30	data	datum	NOUN
fis-4859	236	31	points	point	NOUN
fis-4859	236	32	,	,	PUNCT
fis-4859	236	33	and	and	CCONJ
fis-4859	236	34	the	the	DET
fis-4859	236	35	rs	rs	PROPN
fis-4859	236	36	data	data	PROPN
fis-4859	236	37	selection	selection	NOUN
fis-4859	236	38	radius	radius	NOUN
fis-4859	236	39	.	.	PUNCT
fis-4859	237	1	to	to	PART
fis-4859	237	2	investigate	investigate	VERB
fis-4859	237	3	the	the	DET
fis-4859	237	4	influence	influence	NOUN
fis-4859	237	5	of	of	ADP
fis-4859	237	6	those	those	DET
fis-4859	237	7	factors	factor	NOUN
fis-4859	237	8	on	on	ADP
fis-4859	237	9	the	the	DET
fis-4859	237	10	convergence	convergence	NOUN
fis-4859	237	11	of	of	ADP
fis-4859	237	12	f	f	PROPN
fis-4859	237	13	clearly	clearly	ADV
fis-4859	237	14	,	,	PUNCT
fis-4859	237	15	the	the	DET
fis-4859	237	16	experimental	experimental	ADJ
fis-4859	237	17	data	datum	NOUN
fis-4859	237	18	of	of	ADP
fis-4859	237	19	cylindrical	cylindrical	ADJ
fis-4859	237	20	shell	shell	NOUN
fis-4859	237	21	structure	structure	NOUN
fis-4859	237	22	specimens	specimen	NOUN
fis-4859	237	23	/	/	SYM
fis-4859	237	24	models	model	NOUN
fis-4859	237	25	are	be	AUX
fis-4859	237	26	used	use	VERB
fis-4859	237	27	below	below	ADV
fis-4859	237	28	.	.	PUNCT
fis-4859	238	1	the	the	DET
fis-4859	238	2	en	en	NOUN
fis-4859	238	3	exceed	exceed	VERB
fis-4859	238	4	number	number	NOUN
fis-4859	238	5	of	of	ADP
fis-4859	238	6	dn	dn	PROPN
fis-4859	238	7	to	to	ADP
fis-4859	238	8	tn	tn	PROPN
fis-4859	238	9	is	be	AUX
fis-4859	238	10	defined	define	VERB
fis-4859	238	11	as	as	ADP
fis-4859	238	12	:	:	PUNCT
fis-4859	238	13	n	n	CCONJ
fis-4859	238	14	n	n	CCONJ
fis-4859	238	15	n	n	CCONJ
fis-4859	239	1	1e	1e	NOUN
fis-4859	239	2	d	d	NOUN
fis-4859	239	3	t=	t=	NOUN
fis-4859	239	4	−	−	PROPN
fis-4859	239	5	−	−	PROPN
fis-4859	239	6	(	(	PUNCT
fis-4859	239	7	20	20	NUM
fis-4859	239	8	)	)	PUNCT
fis-4859	239	9	meanwhile	meanwhile	ADV
fis-4859	239	10	,	,	PUNCT
fis-4859	239	11	to	to	PART
fis-4859	239	12	separate	separate	VERB
fis-4859	239	13	each	each	DET
fis-4859	239	14	specimen	speciman	NOUN
fis-4859	239	15	clearly	clearly	ADV
fis-4859	239	16	,	,	PUNCT
fis-4859	239	17	all	all	DET
fis-4859	239	18	labels	label	NOUN
fis-4859	239	19	of	of	ADP
fis-4859	239	20	specimens	specimen	NOUN
fis-4859	239	21	shown	show	VERB
fis-4859	239	22	in	in	ADP
fis-4859	239	23	tab	tab	NOUN
fis-4859	239	24	.	.	PUNCT
fis-4859	240	1	5	5	X
fis-4859	240	2	.	.	X
fis-4859	240	3	crack	crack	NOUN
fis-4859	240	4	center	center	NOUN
fis-4859	240	5	angle	angle	NOUN
fis-4859	240	6	2α	2α	PROPN
fis-4859	240	7	30º	30º	NOUN
fis-4859	240	8	60º	60º	PROPN
fis-4859	240	9	90º	90º	PROPN
fis-4859	241	1	120º	120º	PROPN
fis-4859	241	2	150º	150º	PROPN
fis-4859	241	3	180º	180º	ADP
fis-4859	241	4	experimental	experimental	ADJ
fis-4859	241	5	specimen	speciman	NOUN
fis-4859	241	6	ea30_1	ea30_1	NOUN
fis-4859	241	7	ea60_1	ea60_1	PROPN
fis-4859	241	8	ea90_1	ea90_1	NOUN
fis-4859	241	9	ea120_1	ea120_1	NOUN
fis-4859	241	10	ea150_1	ea150_1	NOUN
fis-4859	241	11	ea180_1	ea180_1	PROPN
fis-4859	241	12	ea30_2	ea30_2	PROPN
fis-4859	241	13	ea60_2	ea60_2	PROPN
fis-4859	241	14	ea90_2	ea90_2	PROPN
fis-4859	241	15	ea120_2	ea120_2	PROPN
fis-4859	241	16	ea150_2	ea150_2	PROPN
fis-4859	241	17	ea180_2	ea180_2	PROPN
fis-4859	241	18	ea30_3	ea30_3	PROPN
fis-4859	241	19	ea60_3	ea60_3	ADJ
fis-4859	241	20	ea90_3	ea90_3	NOUN
fis-4859	241	21	ea120_3	ea120_3	PROPN
fis-4859	241	22	ea150_3	ea150_3	ADJ
fis-4859	241	23	ea180_3	ea180_3	PROPN
fis-4859	241	24	numerical	numerical	PROPN
fis-4859	241	25	model	model	NOUN
fis-4859	241	26	na30	na30	PROPN
fis-4859	241	27	na60	na60	PROPN
fis-4859	241	28	na90	na90	PROPN
fis-4859	241	29	na120	na120	PROPN
fis-4859	241	30	na150	na150	PROPN
fis-4859	241	31	na180	na180	PROPN
fis-4859	241	32	table	table	NOUN
fis-4859	241	33	5	5	NUM
fis-4859	241	34	:	:	PUNCT
fis-4859	241	35	label	label	NOUN
fis-4859	241	36	of	of	ADP
fis-4859	241	37	cylindrical	cylindrical	ADJ
fis-4859	241	38	shell	shell	NOUN
fis-4859	241	39	structure	structure	NOUN
fis-4859	241	40	specimens	specimen	NOUN
fis-4859	241	41	/	/	SYM
fis-4859	241	42	models	model	NOUN
fis-4859	241	43	.	.	PUNCT
fis-4859	242	1	figure	figure	VERB
fis-4859	242	2	8	8	NUM
fis-4859	242	3	:	:	PUNCT
fis-4859	242	4	dimensionless	dimensionless	NOUN
fis-4859	242	5	sif	sif	PROPN
fis-4859	242	6	f	f	PROPN
fis-4859	242	7	surfaces	surface	NOUN
fis-4859	242	8	with	with	ADP
fis-4859	242	9	different	different	ADJ
fis-4859	242	10	rs	rs	NOUN
fis-4859	242	11	,	,	PUNCT
fis-4859	242	12	tn	tn	PROPN
fis-4859	242	13	,	,	PUNCT
fis-4859	242	14	and	and	CCONJ
fis-4859	242	15	en	en	X
fis-4859	242	16	for	for	ADP
fis-4859	242	17	specimens	specimen	NOUN
fis-4859	242	18	/	/	SYM
fis-4859	242	19	model	model	NOUN
fis-4859	242	20	with	with	ADP
fis-4859	242	21	crack	crack	NOUN
fis-4859	242	22	center	center	NOUN
fis-4859	242	23	angle	angle	NOUN
fis-4859	242	24	2α=30º.	2α=30º.	NUM
fis-4859	242	25	(	(	PUNCT
fis-4859	242	26	a	a	DET
fis-4859	242	27	)	)	PUNCT
fis-4859	242	28	dimensionless	dimensionless	NOUN
fis-4859	242	29	sif	sif	NOUN
fis-4859	242	30	f	f	PROPN
fis-4859	242	31	surfaces	surface	NOUN
fis-4859	242	32	of	of	ADP
fis-4859	242	33	na30	na30	PROPN
fis-4859	242	34	(	(	PUNCT
fis-4859	242	35	b	b	NOUN
fis-4859	242	36	)	)	PUNCT
fis-4859	242	37	dimensionless	dimensionless	NOUN
fis-4859	242	38	sif	sif	NOUN
fis-4859	242	39	f	f	PROPN
fis-4859	242	40	surfaces	surface	NOUN
fis-4859	242	41	of	of	ADP
fis-4859	242	42	ea30_1	ea30_1	NOUN
fis-4859	242	43	.	.	PUNCT
fis-4859	243	1	(	(	PUNCT
fis-4859	243	2	b	b	X
fis-4859	243	3	)	)	PUNCT
fis-4859	243	4	dimensionless	dimensionless	NOUN
fis-4859	243	5	sif	sif	NOUN
fis-4859	243	6	f	f	PROPN
fis-4859	243	7	surfaces	surface	NOUN
fis-4859	243	8	of	of	ADP
fis-4859	243	9	ea30_2	ea30_2	NOUN
fis-4859	243	10	.	.	PUNCT
fis-4859	244	1	(	(	PUNCT
fis-4859	244	2	d	d	NOUN
fis-4859	244	3	)	)	PUNCT
fis-4859	244	4	dimensionless	dimensionless	NOUN
fis-4859	244	5	sif	sif	NOUN
fis-4859	244	6	f	f	PROPN
fis-4859	244	7	surfaces	surface	NOUN
fis-4859	244	8	of	of	ADP
fis-4859	244	9	ea30_3	ea30_3	PROPN
fis-4859	244	10	.	.	PUNCT
fis-4859	245	1	(	(	PUNCT
fis-4859	245	2	a	a	X
fis-4859	245	3	)	)	PUNCT
fis-4859	245	4	(	(	PUNCT
fis-4859	245	5	b	b	X
fis-4859	245	6	)	)	PUNCT
fis-4859	245	7	(	(	PUNCT
fis-4859	245	8	c	c	X
fis-4859	245	9	)	)	PUNCT
fis-4859	245	10	(	(	PUNCT
fis-4859	245	11	d	d	X
fis-4859	245	12	)	)	PUNCT
fis-4859	245	13	b	b	PROPN
fis-4859	245	14	s.	s.	PROPN
fis-4859	245	15	cao	cao	PROPN
fis-4859	245	16	et	et	PROPN
fis-4859	245	17	alii	alii	PROPN
fis-4859	245	18	,	,	PUNCT
fis-4859	245	19	frattura	frattura	PROPN
fis-4859	245	20	ed	ed	PROPN
fis-4859	245	21	integrità	integrità	PROPN
fis-4859	245	22	strutturale	strutturale	PROPN
fis-4859	245	23	,	,	PUNCT
fis-4859	245	24	69	69	NUM
fis-4859	245	25	(	(	PUNCT
fis-4859	245	26	2024	2024	NUM
fis-4859	245	27	)	)	PUNCT
fis-4859	245	28	1	1	NUM
fis-4859	245	29	-	-	SYM
fis-4859	245	30	17	17	NUM
fis-4859	245	31	;	;	PUNCT
fis-4859	245	32	doi	doi	NOUN
fis-4859	245	33	:	:	PUNCT
fis-4859	245	34	10.3221	10.3221	NUM
fis-4859	245	35	/	/	SYM
fis-4859	245	36	igf	igf	PROPN
fis-4859	245	37	-	-	PUNCT
fis-4859	245	38	esis.69.01	esis.69.01	PROPN
fis-4859	245	39	11	11	NUM
fis-4859	245	40	fig	fig	NOUN
fis-4859	245	41	.	.	PUNCT
fis-4859	245	42	8	8	NUM
fis-4859	245	43	shows	show	VERB
fis-4859	245	44	the	the	DET
fis-4859	245	45	f	f	PROPN
fis-4859	245	46	dimensionless	dimensionless	NOUN
fis-4859	245	47	sif	sif	PROPN
fis-4859	245	48	surfaces	surface	NOUN
fis-4859	245	49	with	with	ADP
fis-4859	245	50	different	different	ADJ
fis-4859	245	51	rs	rs	NOUN
fis-4859	245	52	,	,	PUNCT
fis-4859	245	53	tn	tn	PROPN
fis-4859	245	54	,	,	PUNCT
fis-4859	245	55	and	and	CCONJ
fis-4859	245	56	en	en	X
fis-4859	245	57	for	for	ADP
fis-4859	245	58	specimens	specimen	NOUN
fis-4859	245	59	/	/	SYM
fis-4859	245	60	model	model	NOUN
fis-4859	245	61	at	at	ADP
fis-4859	245	62	a	a	DET
fis-4859	245	63	crack	crack	NOUN
fis-4859	245	64	center	center	NOUN
fis-4859	245	65	angle	angle	NOUN
fis-4859	245	66	of	of	ADP
fis-4859	245	67	30º	30º	NOUN
fis-4859	245	68	,	,	PUNCT
fis-4859	245	69	(	(	PUNCT
fis-4859	245	70	a	a	X
fis-4859	245	71	)	)	PUNCT
fis-4859	245	72	is	be	AUX
fis-4859	245	73	the	the	DET
fis-4859	245	74	f	f	PROPN
fis-4859	245	75	surface	surface	NOUN
fis-4859	245	76	of	of	ADP
fis-4859	245	77	na30	na30	PROPN
fis-4859	245	78	,	,	PUNCT
fis-4859	245	79	and	and	CCONJ
fis-4859	245	80	(	(	PUNCT
fis-4859	245	81	b)-(d	b)-(d	NOUN
fis-4859	245	82	)	)	PUNCT
fis-4859	245	83	is	be	AUX
fis-4859	245	84	the	the	DET
fis-4859	245	85	f	f	PROPN
fis-4859	245	86	surface	surface	NOUN
fis-4859	245	87	for	for	ADP
fis-4859	245	88	samples	sample	NOUN
fis-4859	245	89	ea30	ea30	PROPN
fis-4859	245	90	-	-	PUNCT
fis-4859	245	91	1	1	NUM
fis-4859	245	92	,	,	PUNCT
fis-4859	245	93	ea30	ea30	PROPN
fis-4859	245	94	-	-	PUNCT
fis-4859	245	95	2	2	NUM
fis-4859	245	96	,	,	PUNCT
fis-4859	245	97	and	and	CCONJ
fis-4859	245	98	ea30	ea30	PROPN
fis-4859	245	99	-	-	PUNCT
fis-4859	245	100	3	3	NUM
fis-4859	245	101	,	,	PUNCT
fis-4859	245	102	respectively	respectively	ADV
fis-4859	245	103	.	.	PUNCT
fis-4859	246	1	it	it	PRON
fis-4859	246	2	is	be	AUX
fis-4859	246	3	evident	evident	ADJ
fis-4859	246	4	that	that	SCONJ
fis-4859	246	5	with	with	ADP
fis-4859	246	6	increasing	increase	VERB
fis-4859	246	7	tn	tn	PROPN
fis-4859	246	8	and	and	CCONJ
fis-4859	246	9	en	en	PROPN
fis-4859	246	10	,	,	PUNCT
fis-4859	246	11	the	the	DET
fis-4859	246	12	f	f	PROPN
fis-4859	246	13	result	result	NOUN
fis-4859	246	14	is	be	AUX
fis-4859	246	15	convergent	convergent	ADJ
fis-4859	246	16	to	to	ADP
fis-4859	246	17	a	a	DET
fis-4859	246	18	steady	steady	ADJ
fis-4859	246	19	value	value	NOUN
fis-4859	246	20	.	.	PUNCT
fis-4859	247	1	it	it	PRON
fis-4859	247	2	is	be	AUX
fis-4859	247	3	also	also	ADV
fis-4859	247	4	clear	clear	ADJ
fis-4859	247	5	that	that	SCONJ
fis-4859	247	6	dn	dn	PROPN
fis-4859	247	7	should	should	AUX
fis-4859	247	8	not	not	PART
fis-4859	247	9	only	only	ADV
fis-4859	247	10	satisfy	satisfy	VERB
fis-4859	247	11	eqn	eqn	PROPN
fis-4859	247	12	.	.	PUNCT
fis-4859	248	1	(	(	PUNCT
fis-4859	248	2	14	14	NUM
fis-4859	248	3	)	)	PUNCT
fis-4859	248	4	,	,	PUNCT
fis-4859	248	5	when	when	SCONJ
fis-4859	248	6	en	en	X
fis-4859	248	7	=	=	PROPN
fis-4859	248	8	1	1	NUM
fis-4859	248	9	.	.	PUNCT
fis-4859	248	10	from	from	ADP
fis-4859	248	11	fig	fig	NOUN
fis-4859	248	12	.	.	PUNCT
fis-4859	249	1	8	8	NUM
fis-4859	249	2	,	,	PUNCT
fis-4859	249	3	the	the	DET
fis-4859	249	4	result	result	NOUN
fis-4859	249	5	of	of	ADP
fis-4859	249	6	f	f	PROPN
fis-4859	249	7	fluctuates	fluctuate	VERB
fis-4859	249	8	wildly	wildly	ADV
fis-4859	249	9	with	with	ADP
fis-4859	249	10	the	the	DET
fis-4859	249	11	changes	change	NOUN
fis-4859	249	12	of	of	ADP
fis-4859	249	13	tn	tn	NOUN
fis-4859	249	14	,	,	PUNCT
fis-4859	249	15	and	and	CCONJ
fis-4859	249	16	when	when	SCONJ
fis-4859	249	17	en	en	X
fis-4859	249	18	becomes	become	VERB
fis-4859	249	19	somewhat	somewhat	ADV
fis-4859	249	20	bigger	big	ADJ
fis-4859	249	21	,	,	PUNCT
fis-4859	249	22	then	then	ADV
fis-4859	249	23	fluctuations	fluctuation	NOUN
fis-4859	249	24	disappear	disappear	VERB
fis-4859	249	25	.	.	PUNCT
fis-4859	250	1	meanwhile	meanwhile	ADV
fis-4859	250	2	,	,	PUNCT
fis-4859	250	3	from	from	ADP
fis-4859	250	4	fig	fig	NOUN
fis-4859	250	5	.	.	PUNCT
fis-4859	251	1	8	8	NUM
fis-4859	251	2	(	(	PUNCT
fis-4859	251	3	d	d	NOUN
fis-4859	251	4	)	)	PUNCT
fis-4859	251	5	,	,	PUNCT
fis-4859	251	6	for	for	ADP
fis-4859	251	7	ea30	ea30	PROPN
fis-4859	251	8	-	-	PUNCT
fis-4859	251	9	3	3	NUM
fis-4859	251	10	,	,	PUNCT
fis-4859	251	11	when	when	SCONJ
fis-4859	251	12	tn	tn	NOUN
fis-4859	251	13	is	be	AUX
fis-4859	251	14	less	less	ADJ
fis-4859	251	15	than	than	ADP
fis-4859	251	16	6	6	NUM
fis-4859	251	17	,	,	PUNCT
fis-4859	251	18	the	the	DET
fis-4859	251	19	steady	steady	ADJ
fis-4859	251	20	value	value	NOUN
fis-4859	251	21	of	of	ADP
fis-4859	251	22	f	f	PROPN
fis-4859	251	23	differs	differ	NOUN
fis-4859	251	24	and	and	CCONJ
fis-4859	251	25	increases	increase	NOUN
fis-4859	251	26	;	;	PUNCT
fis-4859	251	27	this	this	DET
fis-4859	251	28	phenomenon	phenomenon	NOUN
fis-4859	251	29	can	can	AUX
fis-4859	251	30	also	also	ADV
fis-4859	251	31	be	be	AUX
fis-4859	251	32	observed	observe	VERB
fis-4859	251	33	in	in	ADP
fis-4859	251	34	other	other	ADJ
fis-4859	251	35	panels	panel	NOUN
fis-4859	251	36	of	of	ADP
fis-4859	251	37	fig	fig	NOUN
fis-4859	251	38	.	.	PUNCT
fis-4859	252	1	8	8	NUM
fis-4859	252	2	,	,	PUNCT
fis-4859	252	3	and	and	CCONJ
fis-4859	252	4	when	when	SCONJ
fis-4859	252	5	tn	tn	PROPN
fis-4859	252	6	is	be	AUX
fis-4859	252	7	large	large	ADJ
fis-4859	252	8	enough	enough	ADV
fis-4859	252	9	,	,	PUNCT
fis-4859	252	10	then	then	ADV
fis-4859	252	11	the	the	DET
fis-4859	252	12	steady	steady	ADJ
fis-4859	252	13	value	value	NOUN
fis-4859	252	14	of	of	ADP
fis-4859	252	15	f	f	PROPN
fis-4859	252	16	is	be	AUX
fis-4859	252	17	close	close	ADJ
fis-4859	252	18	for	for	ADP
fis-4859	252	19	all	all	DET
fis-4859	252	20	specimens	specimen	NOUN
fis-4859	252	21	/	/	SYM
fis-4859	252	22	model	model	NOUN
fis-4859	252	23	.	.	PUNCT
fis-4859	253	1	the	the	DET
fis-4859	253	2	results	result	NOUN
fis-4859	253	3	of	of	ADP
fis-4859	253	4	f	f	PROPN
fis-4859	253	5	with	with	ADP
fis-4859	253	6	different	different	ADJ
fis-4859	253	7	data	datum	NOUN
fis-4859	253	8	selecting	select	VERB
fis-4859	253	9	ring	ring	NOUN
fis-4859	253	10	radius	radius	NOUN
fis-4859	253	11	rs	rs	NOUN
fis-4859	253	12	exhibit	exhibit	VERB
fis-4859	253	13	more	more	ADV
fis-4859	253	14	evident	evident	ADJ
fis-4859	253	15	discrepancies	discrepancy	NOUN
fis-4859	253	16	than	than	ADP
fis-4859	253	17	the	the	DET
fis-4859	253	18	cases	case	NOUN
fis-4859	253	19	of	of	ADP
fis-4859	253	20	varying	vary	VERB
fis-4859	253	21	en	en	ADP
fis-4859	253	22	or	or	CCONJ
fis-4859	253	23	tn	tn	PROPN
fis-4859	253	24	.	.	PUNCT
fis-4859	254	1	a	a	DET
fis-4859	254	2	change	change	NOUN
fis-4859	254	3	in	in	ADP
fis-4859	254	4	rs	rs	NOUN
fis-4859	254	5	can	can	AUX
fis-4859	254	6	shift	shift	VERB
fis-4859	254	7	the	the	DET
fis-4859	254	8	final	final	ADJ
fis-4859	254	9	steady	steady	ADJ
fis-4859	254	10	f	f	NOUN
fis-4859	254	11	significantly	significantly	ADV
fis-4859	254	12	,	,	PUNCT
fis-4859	254	13	especially	especially	ADV
fis-4859	254	14	for	for	ADP
fis-4859	254	15	na30	na30	PROPN
fis-4859	254	16	(	(	PUNCT
fis-4859	254	17	fig	fig	NOUN
fis-4859	254	18	.	.	PUNCT
fis-4859	255	1	8	8	NUM
fis-4859	255	2	(	(	PUNCT
fis-4859	255	3	a	a	NOUN
fis-4859	255	4	)	)	PUNCT
fis-4859	255	5	)	)	PUNCT
fis-4859	256	1	and	and	CCONJ
fis-4859	256	2	ea30	ea30	PROPN
fis-4859	256	3	-	-	PUNCT
fis-4859	256	4	3(fig	3(fig	PROPN
fis-4859	256	5	.	.	PUNCT
fis-4859	257	1	8	8	NUM
fis-4859	257	2	(	(	PUNCT
fis-4859	257	3	d	d	NOUN
fis-4859	257	4	)	)	PUNCT
fis-4859	257	5	)	)	PUNCT
fis-4859	257	6	,	,	PUNCT
fis-4859	257	7	and	and	CCONJ
fis-4859	257	8	the	the	DET
fis-4859	257	9	difference	difference	NOUN
fis-4859	257	10	for	for	ADP
fis-4859	257	11	f	f	PROPN
fis-4859	257	12	with	with	ADP
fis-4859	257	13	different	different	ADJ
fis-4859	257	14	rs	rs	NOUN
fis-4859	257	15	of	of	ADP
fis-4859	257	16	ea30	ea30	PROPN
fis-4859	257	17	-	-	PUNCT
fis-4859	257	18	1	1	NUM
fis-4859	257	19	is	be	AUX
fis-4859	257	20	the	the	DET
fis-4859	257	21	smallest	small	ADJ
fis-4859	257	22	.	.	PUNCT
fis-4859	258	1	figure	figure	NOUN
fis-4859	258	2	9	9	NUM
fis-4859	258	3	:	:	PUNCT
fis-4859	258	4	ftn	ftn	NOUN
fis-4859	258	5	curves	curve	NOUN
fis-4859	258	6	for	for	ADP
fis-4859	258	7	all	all	DET
fis-4859	258	8	experimental	experimental	ADJ
fis-4859	258	9	specimens	specimen	NOUN
fis-4859	258	10	and	and	CCONJ
fis-4859	258	11	numerical	numerical	ADJ
fis-4859	258	12	models	model	NOUN
fis-4859	258	13	.	.	PUNCT
fis-4859	259	1	(	(	PUNCT
fis-4859	259	2	a	a	X
fis-4859	259	3	)	)	PUNCT
fis-4859	259	4	2α=30º.	2α=30º.	PROPN
fis-4859	259	5	(	(	PUNCT
fis-4859	259	6	b	b	NOUN
fis-4859	259	7	)	)	PUNCT
fis-4859	259	8	2α=60º.	2α=60º.	NOUN
fis-4859	259	9	(	(	PUNCT
fis-4859	259	10	c	c	NOUN
fis-4859	259	11	)	)	PUNCT
fis-4859	259	12	2α=90º.	2α=90º.	NOUN
fis-4859	259	13	(	(	PUNCT
fis-4859	259	14	d	d	NOUN
fis-4859	259	15	)	)	PUNCT
fis-4859	259	16	2α=120º.	2α=120º.	NUM
fis-4859	259	17	(	(	PUNCT
fis-4859	259	18	e	e	NOUN
fis-4859	259	19	)	)	PUNCT
fis-4859	259	20	2α=150º.	2α=150º.	NUM
fis-4859	259	21	(	(	PUNCT
fis-4859	259	22	f	f	X
fis-4859	259	23	)	)	PUNCT
fis-4859	259	24	2α=180º.	2α=180º.	NUM
fis-4859	259	25	since	since	SCONJ
fis-4859	259	26	the	the	DET
fis-4859	259	27	singular	singular	PROPN
fis-4859	259	28	stress	stress	NOUN
fis-4859	259	29	term	term	NOUN
fis-4859	259	30	dominates	dominate	VERB
fis-4859	259	31	the	the	DET
fis-4859	259	32	crack	crack	NOUN
fis-4859	259	33	-	-	PUNCT
fis-4859	259	34	tip	tip	NOUN
fis-4859	259	35	stress	stress	NOUN
fis-4859	259	36	field	field	NOUN
fis-4859	259	37	,	,	PUNCT
fis-4859	259	38	the	the	DET
fis-4859	259	39	higher	high	ADJ
fis-4859	259	40	-	-	PUNCT
fis-4859	259	41	order	order	NOUN
fis-4859	259	42	terms	term	NOUN
fis-4859	259	43	are	be	AUX
fis-4859	259	44	usually	usually	ADV
fis-4859	259	45	neglected	neglect	VERB
fis-4859	259	46	in	in	ADP
fis-4859	259	47	previous	previous	ADJ
fis-4859	259	48	studies	study	NOUN
fis-4859	259	49	of	of	ADP
fis-4859	259	50	brittle	brittle	ADJ
fis-4859	259	51	materials	material	NOUN
fis-4859	259	52	[	[	X
fis-4859	259	53	47	47	NUM
fis-4859	259	54	-	-	SYM
fis-4859	259	55	50	50	NUM
fis-4859	259	56	]	]	PUNCT
fis-4859	259	57	.	.	PUNCT
fis-4859	260	1	however	however	ADV
fis-4859	260	2	,	,	PUNCT
fis-4859	260	3	sometimes	sometimes	ADV
fis-4859	260	4	,	,	PUNCT
fis-4859	260	5	the	the	DET
fis-4859	260	6	higher	high	ADJ
fis-4859	260	7	-	-	PUNCT
fis-4859	260	8	order	order	NOUN
fis-4859	260	9	terms	term	NOUN
fis-4859	260	10	in	in	ADP
fis-4859	260	11	the	the	DET
fis-4859	260	12	williams	williams	PROPN
fis-4859	260	13	expansion	expansion	NOUN
fis-4859	260	14	can	can	AUX
fis-4859	260	15	not	not	PART
fis-4859	260	16	be	be	AUX
fis-4859	260	17	thoughtlessly	thoughtlessly	ADV
fis-4859	260	18	ignored	ignore	VERB
fis-4859	260	19	[	[	PUNCT
fis-4859	260	20	51	51	NUM
fis-4859	260	21	]	]	PUNCT
fis-4859	260	22	.	.	PUNCT
fis-4859	261	1	fig	fig	NOUN
fis-4859	261	2	.	.	PUNCT
fis-4859	262	1	9	9	NUM
fis-4859	262	2	shows	show	VERB
fis-4859	262	3	ftn	ftn	NOUN
fis-4859	262	4	curves	curve	NOUN
fis-4859	262	5	for	for	ADP
fis-4859	262	6	all	all	DET
fis-4859	262	7	experimental	experimental	ADJ
fis-4859	262	8	specimens	specimen	NOUN
fis-4859	262	9	and	and	CCONJ
fis-4859	262	10	numerical	numerical	ADJ
fis-4859	262	11	models	model	NOUN
fis-4859	262	12	;	;	PUNCT
fis-4859	262	13	the	the	DET
fis-4859	262	14	yellow	yellow	ADJ
fis-4859	262	15	dash	dash	NOUN
fis-4859	262	16	in	in	ADP
fis-4859	262	17	the	the	DET
fis-4859	262	18	figures	figure	NOUN
fis-4859	262	19	is	be	AUX
fis-4859	262	20	the	the	DET
fis-4859	262	21	theoretical	theoretical	ADJ
fis-4859	262	22	value	value	NOUN
fis-4859	262	23	.	.	PUNCT
fis-4859	263	1	when	when	SCONJ
fis-4859	263	2	tn	tn	PROPN
fis-4859	263	3	is	be	AUX
fis-4859	263	4	less	less	ADJ
fis-4859	263	5	than	than	ADP
fis-4859	263	6	6	6	NUM
fis-4859	263	7	,	,	PUNCT
fis-4859	263	8	f	f	PROPN
fis-4859	263	9	for	for	ADP
fis-4859	263	10	all	all	DET
fis-4859	263	11	specimens	specimen	NOUN
fis-4859	263	12	/	/	SYM
fis-4859	263	13	models	model	NOUN
fis-4859	263	14	varies	vary	VERB
fis-4859	263	15	,	,	PUNCT
fis-4859	263	16	and	and	CCONJ
fis-4859	263	17	when	when	SCONJ
fis-4859	263	18	tn	tn	PROPN
fis-4859	263	19	is	be	AUX
fis-4859	263	20	larger	large	ADJ
fis-4859	263	21	than	than	ADP
fis-4859	263	22	6	6	NUM
fis-4859	263	23	,	,	PUNCT
fis-4859	263	24	f	f	PROPN
fis-4859	263	25	converges	converge	VERB
fis-4859	263	26	gradually	gradually	ADV
fis-4859	263	27	.	.	PUNCT
fis-4859	264	1	meanwhile	meanwhile	ADV
fis-4859	264	2	,	,	PUNCT
fis-4859	264	3	the	the	DET
fis-4859	264	4	steady	steady	ADJ
fis-4859	264	5	value	value	NOUN
fis-4859	264	6	of	of	ADP
fis-4859	264	7	f	f	PROPN
fis-4859	264	8	for	for	ADP
fis-4859	264	9	specimens	specimen	NOUN
fis-4859	264	10	/	/	SYM
fis-4859	264	11	models	model	NOUN
fis-4859	264	12	whose	whose	DET
fis-4859	264	13	crack	crack	NOUN
fis-4859	264	14	center	center	NOUN
fis-4859	264	15	angle	angle	NOUN
fis-4859	264	16	is	be	AUX
fis-4859	264	17	in	in	ADP
fis-4859	264	18	the	the	DET
fis-4859	264	19	range	range	NOUN
fis-4859	264	20	s.	s.	PROPN
fis-4859	264	21	cao	cao	PROPN
fis-4859	264	22	et	et	PROPN
fis-4859	264	23	alii	alii	PROPN
fis-4859	264	24	,	,	PUNCT
fis-4859	264	25	frattura	frattura	PROPN
fis-4859	264	26	ed	ed	PROPN
fis-4859	264	27	integrità	integrità	PROPN
fis-4859	264	28	strutturale	strutturale	PROPN
fis-4859	264	29	,	,	PUNCT
fis-4859	264	30	69	69	NUM
fis-4859	264	31	(	(	PUNCT
fis-4859	264	32	2024	2024	NUM
fis-4859	264	33	)	)	PUNCT
fis-4859	264	34	1	1	NUM
fis-4859	264	35	-	-	SYM
fis-4859	264	36	17	17	NUM
fis-4859	264	37	;	;	PUNCT
fis-4859	264	38	doi	doi	NOUN
fis-4859	264	39	:	:	PUNCT
fis-4859	264	40	10.3221	10.3221	NUM
fis-4859	264	41	/	/	SYM
fis-4859	264	42	igf	igf	PROPN
fis-4859	264	43	-	-	PUNCT
fis-4859	264	44	esis.69.01	esis.69.01	PROPN
fis-4859	264	45	12	12	NUM
fis-4859	264	46	of	of	ADP
fis-4859	264	47	30º-90º	30º-90º	PROPN
fis-4859	264	48	has	have	VERB
fis-4859	264	49	good	good	ADJ
fis-4859	264	50	agreement	agreement	NOUN
fis-4859	264	51	with	with	ADP
fis-4859	264	52	the	the	DET
fis-4859	264	53	corresponding	corresponding	ADJ
fis-4859	264	54	theoretical	theoretical	ADJ
fis-4859	264	55	value	value	NOUN
fis-4859	264	56	.	.	PUNCT
fis-4859	265	1	for	for	ADP
fis-4859	265	2	specimens	specimen	NOUN
fis-4859	265	3	/	/	SYM
fis-4859	265	4	models	model	NOUN
fis-4859	265	5	whose	whose	DET
fis-4859	265	6	crack	crack	NOUN
fis-4859	265	7	center	center	NOUN
fis-4859	265	8	angle	angle	NOUN
fis-4859	265	9	is	be	AUX
fis-4859	265	10	120º	120º	PROPN
fis-4859	265	11	and	and	CCONJ
fis-4859	265	12	150º	150º	PROPN
fis-4859	265	13	,	,	PUNCT
fis-4859	265	14	the	the	DET
fis-4859	265	15	results	result	NOUN
fis-4859	265	16	from	from	ADP
fis-4859	265	17	the	the	DET
fis-4859	265	18	numerical	numerical	ADJ
fis-4859	265	19	model	model	NOUN
fis-4859	265	20	and	and	CCONJ
fis-4859	265	21	one	one	NUM
fis-4859	265	22	of	of	ADP
fis-4859	265	23	the	the	DET
fis-4859	265	24	experimental	experimental	ADJ
fis-4859	265	25	specimens	specimen	NOUN
fis-4859	265	26	agree	agree	VERB
fis-4859	265	27	well	well	ADV
fis-4859	265	28	with	with	ADP
fis-4859	265	29	the	the	DET
fis-4859	265	30	corresponding	corresponding	ADJ
fis-4859	265	31	theoretical	theoretical	ADJ
fis-4859	265	32	value	value	NOUN
fis-4859	265	33	.	.	PUNCT
fis-4859	266	1	for	for	ADP
fis-4859	266	2	specimens	specimen	NOUN
fis-4859	266	3	/	/	SYM
fis-4859	266	4	models	model	NOUN
fis-4859	266	5	with	with	ADP
fis-4859	266	6	a	a	DET
fis-4859	266	7	180º	180º	PROPN
fis-4859	266	8	center	center	NOUN
fis-4859	266	9	angle	angle	NOUN
fis-4859	266	10	crack	crack	NOUN
fis-4859	266	11	,	,	PUNCT
fis-4859	266	12	both	both	CCONJ
fis-4859	266	13	the	the	DET
fis-4859	266	14	numerical	numerical	PROPN
fis-4859	266	15	model	model	PROPN
fis-4859	266	16	’s	’s	PART
fis-4859	266	17	steady	steady	ADJ
fis-4859	266	18	result	result	NOUN
fis-4859	266	19	and	and	CCONJ
fis-4859	266	20	all	all	DET
fis-4859	266	21	experimental	experimental	ADJ
fis-4859	266	22	results	result	NOUN
fis-4859	266	23	differ	differ	VERB
fis-4859	266	24	from	from	ADP
fis-4859	266	25	the	the	DET
fis-4859	266	26	theoretical	theoretical	ADJ
fis-4859	266	27	value	value	NOUN
fis-4859	266	28	.	.	PUNCT
fis-4859	267	1	the	the	DET
fis-4859	267	2	fen	fen	PROPN
fis-4859	267	3	curves	curve	VERB
fis-4859	267	4	for	for	ADP
fis-4859	267	5	all	all	DET
fis-4859	267	6	experimental	experimental	ADJ
fis-4859	267	7	samples	sample	NOUN
fis-4859	267	8	and	and	CCONJ
fis-4859	267	9	numerical	numerical	ADJ
fis-4859	267	10	models	model	NOUN
fis-4859	267	11	are	be	AUX
fis-4859	267	12	given	give	VERB
fis-4859	267	13	in	in	ADP
fis-4859	267	14	fig	fig	NOUN
fis-4859	267	15	.	.	PUNCT
fis-4859	268	1	10	10	NUM
fis-4859	268	2	.	.	PUNCT
fis-4859	269	1	unlike	unlike	ADP
fis-4859	269	2	the	the	DET
fis-4859	269	3	influence	influence	NOUN
fis-4859	269	4	of	of	ADP
fis-4859	269	5	tn	tn	NOUN
fis-4859	269	6	on	on	ADP
fis-4859	269	7	the	the	DET
fis-4859	269	8	convergence	convergence	NOUN
fis-4859	269	9	,	,	PUNCT
fis-4859	269	10	as	as	SCONJ
fis-4859	269	11	shown	show	VERB
fis-4859	269	12	in	in	ADP
fis-4859	269	13	fig	fig	NOUN
fis-4859	269	14	.	.	PUNCT
fis-4859	269	15	8	8	NUM
fis-4859	269	16	above	above	ADV
fis-4859	269	17	,	,	PUNCT
fis-4859	269	18	when	when	SCONJ
fis-4859	269	19	en	en	X
fis-4859	269	20	is	be	AUX
fis-4859	269	21	somewhat	somewhat	ADV
fis-4859	269	22	bigger	big	ADJ
fis-4859	269	23	than	than	ADP
fis-4859	269	24	1	1	NUM
fis-4859	269	25	,	,	PUNCT
fis-4859	269	26	the	the	DET
fis-4859	269	27	results	result	NOUN
fis-4859	269	28	of	of	ADP
fis-4859	269	29	f	f	PROPN
fis-4859	269	30	can	can	AUX
fis-4859	269	31	exhibit	exhibit	VERB
fis-4859	269	32	a	a	DET
fis-4859	269	33	convincing	convincing	ADJ
fis-4859	269	34	convergence	convergence	NOUN
fis-4859	269	35	.	.	PUNCT
fis-4859	270	1	still	still	ADV
fis-4859	270	2	,	,	PUNCT
fis-4859	270	3	the	the	DET
fis-4859	270	4	discrepancies	discrepancy	NOUN
fis-4859	270	5	at	at	ADP
fis-4859	270	6	high	high	ADJ
fis-4859	270	7	center	center	NOUN
fis-4859	270	8	angle	angle	NOUN
fis-4859	270	9	cracks	crack	NOUN
fis-4859	270	10	prevail	prevail	VERB
fis-4859	270	11	.	.	PUNCT
fis-4859	271	1	figure	figure	NOUN
fis-4859	271	2	10	10	NUM
fis-4859	271	3	:	:	PUNCT
fis-4859	271	4	fen	fen	PROPN
fis-4859	271	5	curves	curve	VERB
fis-4859	271	6	for	for	ADP
fis-4859	271	7	all	all	DET
fis-4859	271	8	experimental	experimental	ADJ
fis-4859	271	9	specimens	specimen	NOUN
fis-4859	271	10	and	and	CCONJ
fis-4859	271	11	numerical	numerical	ADJ
fis-4859	271	12	models	model	NOUN
fis-4859	271	13	.	.	PUNCT
fis-4859	272	1	(	(	PUNCT
fis-4859	272	2	a	a	X
fis-4859	272	3	)	)	PUNCT
fis-4859	272	4	2α=30º.	2α=30º.	PROPN
fis-4859	272	5	(	(	PUNCT
fis-4859	272	6	b	b	NOUN
fis-4859	272	7	)	)	PUNCT
fis-4859	272	8	2α=60º.	2α=60º.	NOUN
fis-4859	272	9	(	(	PUNCT
fis-4859	272	10	c	c	NOUN
fis-4859	272	11	)	)	PUNCT
fis-4859	272	12	2α=90º.	2α=90º.	NOUN
fis-4859	272	13	(	(	PUNCT
fis-4859	272	14	d	d	NOUN
fis-4859	272	15	)	)	PUNCT
fis-4859	272	16	2α=120º.	2α=120º.	NUM
fis-4859	272	17	(	(	PUNCT
fis-4859	272	18	e	e	NOUN
fis-4859	272	19	)	)	PUNCT
fis-4859	272	20	2α=150º.	2α=150º.	NUM
fis-4859	272	21	(	(	PUNCT
fis-4859	272	22	f	f	X
fis-4859	272	23	)	)	PUNCT
fis-4859	272	24	2α=180º.	2α=180º.	NUM
fis-4859	272	25	we	we	PRON
fis-4859	272	26	found	find	VERB
fis-4859	272	27	that	that	SCONJ
fis-4859	272	28	the	the	DET
fis-4859	272	29	differences	difference	NOUN
fis-4859	272	30	between	between	ADP
fis-4859	272	31	the	the	DET
fis-4859	272	32	experimental	experimental	ADJ
fis-4859	272	33	and	and	CCONJ
fis-4859	272	34	the	the	DET
fis-4859	272	35	numerical	numerical	ADJ
fis-4859	272	36	data	datum	NOUN
fis-4859	272	37	and	and	CCONJ
fis-4859	272	38	the	the	DET
fis-4859	272	39	influence	influence	NOUN
fis-4859	272	40	of	of	ADP
fis-4859	272	41	crack	crack	VERB
fis-4859	272	42	length	length	NOUN
fis-4859	272	43	on	on	ADP
fis-4859	272	44	the	the	DET
fis-4859	272	45	f	f	PROPN
fis-4859	272	46	dimensionless	dimensionless	NOUN
fis-4859	272	47	sif	sif	NOUN
fis-4859	272	48	with	with	ADP
fis-4859	272	49	comparable	comparable	ADJ
fis-4859	272	50	data	datum	NOUN
fis-4859	272	51	selecting	select	VERB
fis-4859	272	52	ring	ring	NOUN
fis-4859	272	53	radius	radius	NOUN
fis-4859	272	54	rs	rs	NOUN
fis-4859	272	55	for	for	ADP
fis-4859	272	56	specimens	specimen	NOUN
fis-4859	272	57	/	/	SYM
fis-4859	272	58	model	model	NOUN
fis-4859	272	59	is	be	AUX
fis-4859	272	60	apparent	apparent	ADJ
fis-4859	272	61	;	;	PUNCT
fis-4859	272	62	we	we	PRON
fis-4859	272	63	investigated	investigate	VERB
fis-4859	272	64	the	the	DET
fis-4859	272	65	case	case	NOUN
fis-4859	272	66	when	when	SCONJ
fis-4859	272	67	data	datum	NOUN
fis-4859	272	68	selecting	select	VERB
fis-4859	272	69	ring	ring	NOUN
fis-4859	272	70	radius	radius	NOUN
fis-4859	272	71	rs	rs	NOUN
fis-4859	272	72	depends	depend	VERB
fis-4859	272	73	on	on	ADP
fis-4859	272	74	the	the	DET
fis-4859	272	75	crack	crack	NOUN
fis-4859	272	76	length	length	NOUN
fis-4859	272	77	a.	a.	NOUN
fis-4859	272	78	fig	fig	NOUN
fis-4859	272	79	.	.	PUNCT
fis-4859	273	1	11	11	NUM
fis-4859	273	2	shows	show	VERB
fis-4859	273	3	that	that	SCONJ
fis-4859	273	4	for	for	ADP
fis-4859	273	5	all	all	DET
fis-4859	273	6	numerical	numerical	ADJ
fis-4859	273	7	models	model	NOUN
fis-4859	273	8	whose	whose	DET
fis-4859	273	9	crack	crack	NOUN
fis-4859	273	10	center	center	NOUN
fis-4859	273	11	angle	angle	NOUN
fis-4859	273	12	is	be	AUX
fis-4859	273	13	between	between	ADP
fis-4859	273	14	30º	30º	NOUN
fis-4859	273	15	and	and	CCONJ
fis-4859	273	16	120º	120º	NOUN
fis-4859	273	17	,	,	PUNCT
fis-4859	273	18	the	the	DET
fis-4859	273	19	f	f	PROPN
fis-4859	273	20	results	result	VERB
fis-4859	273	21	converge	converge	VERB
fis-4859	273	22	to	to	ADP
fis-4859	273	23	the	the	DET
fis-4859	273	24	theoretical	theoretical	ADJ
fis-4859	273	25	value	value	NOUN
fis-4859	273	26	’s	’s	PART
fis-4859	273	27	neighborhood	neighborhood	NOUN
fis-4859	273	28	.	.	PUNCT
fis-4859	274	1	for	for	ADP
fis-4859	274	2	numerical	numerical	ADJ
fis-4859	274	3	models	model	NOUN
fis-4859	274	4	whose	whose	DET
fis-4859	274	5	crack	crack	NOUN
fis-4859	274	6	center	center	NOUN
fis-4859	274	7	angle	angle	NOUN
fis-4859	274	8	is	be	AUX
fis-4859	274	9	150º	150º	NOUN
fis-4859	274	10	and	and	CCONJ
fis-4859	274	11	180º	180º	NUM
fis-4859	274	12	,	,	PUNCT
fis-4859	274	13	the	the	DET
fis-4859	274	14	best	good	ADJ
fis-4859	274	15	value	value	NOUN
fis-4859	274	16	of	of	ADP
fis-4859	274	17	rs	rs	NOUN
fis-4859	274	18	/	/	SYM
fis-4859	274	19	a	a	PRON
fis-4859	274	20	is	be	AUX
fis-4859	274	21	between	between	ADP
fis-4859	274	22	0.4	0.4	NUM
fis-4859	274	23	and	and	CCONJ
fis-4859	274	24	0.5	0.5	NUM
fis-4859	274	25	.	.	PUNCT
fis-4859	275	1	moreover	moreover	ADV
fis-4859	275	2	,	,	PUNCT
fis-4859	275	3	for	for	ADP
fis-4859	275	4	all	all	DET
fis-4859	275	5	experimental	experimental	ADJ
fis-4859	275	6	specimens	specimen	NOUN
fis-4859	275	7	in	in	ADP
fis-4859	275	8	the	the	DET
fis-4859	275	9	crack	crack	NOUN
fis-4859	275	10	center	center	NOUN
fis-4859	275	11	angle	angle	NOUN
fis-4859	275	12	range	range	NOUN
fis-4859	275	13	of	of	ADP
fis-4859	275	14	30º	30º	NOUN
fis-4859	275	15	to	to	ADP
fis-4859	275	16	150º	150º	NOUN
fis-4859	275	17	,	,	PUNCT
fis-4859	275	18	with	with	ADP
fis-4859	275	19	increasing	increase	VERB
fis-4859	275	20	rs	r	NOUN
fis-4859	275	21	/	/	SYM
fis-4859	275	22	a	a	NOUN
fis-4859	275	23	,	,	PUNCT
fis-4859	275	24	the	the	DET
fis-4859	275	25	value	value	NOUN
fis-4859	275	26	of	of	ADP
fis-4859	275	27	f	f	PROPN
fis-4859	275	28	converges	converge	VERB
fis-4859	275	29	gradually	gradually	ADV
fis-4859	275	30	,	,	PUNCT
fis-4859	275	31	and	and	CCONJ
fis-4859	275	32	the	the	DET
fis-4859	275	33	appropriate	appropriate	ADJ
fis-4859	275	34	value	value	NOUN
fis-4859	275	35	of	of	ADP
fis-4859	275	36	rs	rs	NOUN
fis-4859	275	37	/	/	SYM
fis-4859	275	38	a	a	DET
fis-4859	275	39	exceeds	exceed	NOUN
fis-4859	275	40	0.3	0.3	NUM
fis-4859	275	41	.	.	PUNCT
fis-4859	276	1	experimental	experimental	ADJ
fis-4859	276	2	specimens	specimen	NOUN
fis-4859	276	3	with	with	ADP
fis-4859	276	4	a	a	DET
fis-4859	276	5	180º	180º	PROPN
fis-4859	276	6	crack	crack	NOUN
fis-4859	276	7	center	center	NOUN
fis-4859	276	8	angle	angle	NOUN
fis-4859	276	9	still	still	ADV
fis-4859	276	10	do	do	AUX
fis-4859	276	11	not	not	PART
fis-4859	276	12	converge	converge	VERB
fis-4859	276	13	,	,	PUNCT
fis-4859	276	14	corresponding	correspond	VERB
fis-4859	276	15	to	to	ADP
fis-4859	276	16	the	the	DET
fis-4859	276	17	limitations	limitation	NOUN
fis-4859	276	18	of	of	ADP
fis-4859	276	19	3d	3d	PROPN
fis-4859	276	20	dic	dic	ADJ
fis-4859	276	21	recording	recording	NOUN
fis-4859	276	22	of	of	ADP
fis-4859	276	23	the	the	DET
fis-4859	276	24	3d	3d	PROPN
fis-4859	276	25	s.	s.	PROPN
fis-4859	276	26	cao	cao	PROPN
fis-4859	276	27	et	et	PROPN
fis-4859	276	28	alii	alii	PROPN
fis-4859	276	29	,	,	PUNCT
fis-4859	276	30	frattura	frattura	PROPN
fis-4859	276	31	ed	ed	PROPN
fis-4859	276	32	integrità	integrità	PROPN
fis-4859	276	33	strutturale	strutturale	PROPN
fis-4859	276	34	,	,	PUNCT
fis-4859	276	35	69	69	NUM
fis-4859	276	36	(	(	PUNCT
fis-4859	276	37	2024	2024	NUM
fis-4859	276	38	)	)	PUNCT
fis-4859	276	39	1	1	NUM
fis-4859	276	40	-	-	SYM
fis-4859	276	41	17	17	NUM
fis-4859	276	42	;	;	PUNCT
fis-4859	276	43	doi	doi	NOUN
fis-4859	276	44	:	:	PUNCT
fis-4859	276	45	10.3221	10.3221	NUM
fis-4859	276	46	/	/	SYM
fis-4859	276	47	igf	igf	PROPN
fis-4859	276	48	-	-	PUNCT
fis-4859	276	49	esis.69.01	esis.69.01	PROPN
fis-4859	276	50	13	13	NUM
fis-4859	276	51	deformation	deformation	NOUN
fis-4859	276	52	fields	field	NOUN
fis-4859	276	53	.	.	PUNCT
fis-4859	277	1	figure	figure	VERB
fis-4859	277	2	11	11	NUM
fis-4859	277	3	:	:	PUNCT
fis-4859	277	4	f-(rs	f-(rs	NOUN
fis-4859	277	5	/	/	SYM
fis-4859	277	6	a	a	NOUN
fis-4859	277	7	)	)	PUNCT
fis-4859	277	8	curves	curve	NOUN
fis-4859	277	9	for	for	ADP
fis-4859	277	10	all	all	DET
fis-4859	277	11	experimental	experimental	ADJ
fis-4859	277	12	specimens	specimen	NOUN
fis-4859	277	13	and	and	CCONJ
fis-4859	277	14	numerical	numerical	ADJ
fis-4859	277	15	models	model	NOUN
fis-4859	277	16	.	.	PUNCT
fis-4859	278	1	(	(	PUNCT
fis-4859	278	2	a	a	X
fis-4859	278	3	)	)	PUNCT
fis-4859	278	4	2α=30º.	2α=30º.	PROPN
fis-4859	278	5	(	(	PUNCT
fis-4859	278	6	b	b	NOUN
fis-4859	278	7	)	)	PUNCT
fis-4859	278	8	2α=60º.	2α=60º.	NOUN
fis-4859	278	9	(	(	PUNCT
fis-4859	278	10	c	c	NOUN
fis-4859	278	11	)	)	PUNCT
fis-4859	278	12	2α=90º.	2α=90º.	NOUN
fis-4859	278	13	(	(	PUNCT
fis-4859	278	14	d	d	NOUN
fis-4859	278	15	)	)	PUNCT
fis-4859	278	16	2α=120º.	2α=120º.	NUM
fis-4859	278	17	(	(	PUNCT
fis-4859	278	18	e	e	NOUN
fis-4859	278	19	)	)	PUNCT
fis-4859	278	20	2α=150º.	2α=150º.	NUM
fis-4859	278	21	(	(	PUNCT
fis-4859	278	22	f	f	X
fis-4859	278	23	)	)	PUNCT
fis-4859	278	24	2α=180º.	2α=180º.	NUM
fis-4859	278	25	discussion	discussion	NOUN
fis-4859	278	26	ince	ince	VERB
fis-4859	278	27	the	the	DET
fis-4859	278	28	deformation	deformation	NOUN
fis-4859	278	29	field	field	NOUN
fis-4859	278	30	calculated	calculate	VERB
fis-4859	278	31	by	by	ADP
fis-4859	278	32	the	the	DET
fis-4859	278	33	dic	dic	PROPN
fis-4859	278	34	method	method	NOUN
fis-4859	278	35	is	be	AUX
fis-4859	278	36	on	on	ADP
fis-4859	278	37	the	the	DET
fis-4859	278	38	surface	surface	NOUN
fis-4859	278	39	of	of	ADP
fis-4859	278	40	the	the	DET
fis-4859	278	41	specimen	speciman	NOUN
fis-4859	278	42	,	,	PUNCT
fis-4859	278	43	and	and	CCONJ
fis-4859	278	44	the	the	DET
fis-4859	278	45	fracture	fracture	NOUN
fis-4859	278	46	energy	energy	NOUN
fis-4859	278	47	is	be	AUX
fis-4859	278	48	stored	store	VERB
fis-4859	278	49	at	at	ADP
fis-4859	278	50	the	the	DET
fis-4859	278	51	entire	entire	ADJ
fis-4859	278	52	fracture	fracture	NOUN
fis-4859	278	53	surface	surface	NOUN
fis-4859	278	54	,	,	PUNCT
fis-4859	278	55	the	the	DET
fis-4859	278	56	calculation	calculation	NOUN
fis-4859	278	57	results	result	NOUN
fis-4859	278	58	of	of	ADP
fis-4859	278	59	this	this	DET
fis-4859	278	60	method	method	NOUN
fis-4859	278	61	will	will	AUX
fis-4859	278	62	have	have	VERB
fis-4859	278	63	larger	large	ADJ
fis-4859	278	64	errors	error	NOUN
fis-4859	278	65	for	for	ADP
fis-4859	278	66	thicker	thick	ADJ
fis-4859	278	67	specimens	specimen	NOUN
fis-4859	278	68	.	.	PUNCT
fis-4859	279	1	in	in	ADP
fis-4859	279	2	fact	fact	NOUN
fis-4859	279	3	,	,	PUNCT
fis-4859	279	4	for	for	ADP
fis-4859	279	5	thick	thick	ADJ
fis-4859	279	6	-	-	PUNCT
fis-4859	279	7	walled	walled	ADJ
fis-4859	279	8	cylindrical	cylindrical	ADJ
fis-4859	279	9	shells	shell	NOUN
fis-4859	279	10	,	,	PUNCT
fis-4859	279	11	the	the	DET
fis-4859	279	12	stress	stress	NOUN
fis-4859	279	13	states	state	NOUN
fis-4859	279	14	are	be	AUX
fis-4859	279	15	different	different	ADJ
fis-4859	279	16	in	in	ADP
fis-4859	279	17	the	the	DET
fis-4859	279	18	middle	middle	NOUN
fis-4859	279	19	and	and	CCONJ
fis-4859	279	20	on	on	ADP
fis-4859	279	21	the	the	DET
fis-4859	279	22	sides	side	NOUN
fis-4859	279	23	:	:	PUNCT
fis-4859	279	24	the	the	DET
fis-4859	279	25	middle	middle	NOUN
fis-4859	279	26	is	be	AUX
fis-4859	279	27	in	in	ADP
fis-4859	279	28	the	the	DET
fis-4859	279	29	plane	plane	NOUN
fis-4859	279	30	strain	strain	NOUN
fis-4859	279	31	condition	condition	NOUN
fis-4859	279	32	,	,	PUNCT
fis-4859	279	33	and	and	CCONJ
fis-4859	279	34	the	the	DET
fis-4859	279	35	two	two	NUM
fis-4859	279	36	sides	side	NOUN
fis-4859	279	37	are	be	AUX
fis-4859	279	38	close	close	ADJ
fis-4859	279	39	to	to	ADP
fis-4859	279	40	the	the	DET
fis-4859	279	41	plane	plane	NOUN
fis-4859	279	42	stress	stress	NOUN
fis-4859	279	43	condition	condition	NOUN
fis-4859	279	44	.	.	PUNCT
fis-4859	280	1	therefore	therefore	ADV
fis-4859	280	2	,	,	PUNCT
fis-4859	280	3	during	during	ADP
fis-4859	280	4	the	the	DET
fis-4859	280	5	loading	loading	NOUN
fis-4859	280	6	process	process	NOUN
fis-4859	280	7	,	,	PUNCT
fis-4859	280	8	the	the	DET
fis-4859	280	9	shape	shape	NOUN
fis-4859	280	10	of	of	ADP
fis-4859	280	11	the	the	DET
fis-4859	280	12	plastic	plastic	NOUN
fis-4859	280	13	zone	zone	NOUN
fis-4859	280	14	at	at	ADP
fis-4859	280	15	the	the	DET
fis-4859	280	16	crack	crack	NOUN
fis-4859	280	17	tip	tip	NOUN
fis-4859	280	18	changes	change	NOUN
fis-4859	280	19	with	with	ADP
fis-4859	280	20	the	the	DET
fis-4859	280	21	thickness	thickness	NOUN
fis-4859	280	22	.	.	PUNCT
fis-4859	281	1	based	base	VERB
fis-4859	281	2	on	on	ADP
fis-4859	281	3	the	the	DET
fis-4859	281	4	mises	mise	NOUN
fis-4859	281	5	yield	yield	VERB
fis-4859	281	6	criterion	criterion	NOUN
fis-4859	281	7	[	[	X
fis-4859	281	8	52	52	NUM
fis-4859	281	9	]	]	PUNCT
fis-4859	281	10	,	,	PUNCT
fis-4859	281	11	the	the	DET
fis-4859	281	12	radius	radius	NOUN
fis-4859	281	13	of	of	ADP
fis-4859	281	14	the	the	DET
fis-4859	281	15	plastic	plastic	NOUN
fis-4859	281	16	zone	zone	NOUN
fis-4859	281	17	should	should	AUX
fis-4859	281	18	read	read	VERB
fis-4859	281	19	(	(	PUNCT
fis-4859	281	20	)	)	PUNCT
fis-4859	281	21	2	2	NUM
fis-4859	281	22	2i1	2i1	NUM
fis-4859	281	23	1	1	NUM
fis-4859	281	24	3	3	NUM
fis-4859	281	25	1	1	NUM
fis-4859	281	26	cos	cos	ADP
fis-4859	281	27	sin	sin	NOUN
fis-4859	281	28	2	2	NUM
fis-4859	281	29	2	2	NUM
fis-4859	281	30	4pl	4pl	NOUN
fis-4859	281	31	kr	kr	PROPN
fis-4859	281	32	θ	θ	PROPN
fis-4859	281	33	θ	θ	PROPN
fis-4859	281	34	π	π	X
fis-4859	281	35	σ	σ	PROPN
fis-4859	281	36			PROPN
fis-4859	281	37			PROPN
fis-4859	281	38			PROPN
fis-4859	281	39	=	=	X
fis-4859	281	40	+	+	PUNCT
fis-4859	282	1	+	+	ADJ
fis-4859	282	2			NOUN
fis-4859	282	3			NOUN
fis-4859	282	4			ADJ
fis-4859	282	5			ADJ
fis-4859	282	6			NOUN
fis-4859	282	7			PUNCT
fis-4859	282	8	,	,	PUNCT
fis-4859	282	9	(	(	PUNCT
fis-4859	282	10	plane	plane	NOUN
fis-4859	282	11	stress	stress	NOUN
fis-4859	282	12	)	)	PUNCT
fis-4859	282	13	(	(	PUNCT
fis-4859	282	14	21	21	NUM
fis-4859	282	15	)	)	PUNCT
fis-4859	282	16	s	s	PART
fis-4859	282	17	s.	s.	PROPN
fis-4859	282	18	cao	cao	PROPN
fis-4859	282	19	et	et	PROPN
fis-4859	282	20	alii	alii	PROPN
fis-4859	282	21	,	,	PUNCT
fis-4859	282	22	frattura	frattura	PROPN
fis-4859	282	23	ed	ed	PROPN
fis-4859	282	24	integrità	integrità	PROPN
fis-4859	282	25	strutturale	strutturale	PROPN
fis-4859	282	26	,	,	PUNCT
fis-4859	282	27	69	69	NUM
fis-4859	282	28	(	(	PUNCT
fis-4859	282	29	2024	2024	NUM
fis-4859	282	30	)	)	PUNCT
fis-4859	282	31	1	1	NUM
fis-4859	282	32	-	-	SYM
fis-4859	282	33	17	17	NUM
fis-4859	282	34	;	;	PUNCT
fis-4859	282	35	doi	doi	NOUN
fis-4859	282	36	:	:	PUNCT
fis-4859	282	37	10.3221	10.3221	NUM
fis-4859	282	38	/	/	SYM
fis-4859	282	39	igf	igf	PROPN
fis-4859	282	40	-	-	PUNCT
fis-4859	282	41	esis.69.01	esis.69.01	PROPN
fis-4859	282	42	14	14	NUM
fis-4859	282	43	(	(	PUNCT
fis-4859	282	44	)	)	PUNCT
fis-4859	282	45	(	(	PUNCT
fis-4859	282	46	)	)	PUNCT
fis-4859	282	47	2	2	NUM
fis-4859	282	48	2	2	NUM
fis-4859	282	49	2i1	2i1	NUM
fis-4859	282	50	3	3	NUM
fis-4859	282	51	1	1	NUM
fis-4859	282	52	2	2	NUM
fis-4859	282	53	1	1	NUM
fis-4859	282	54	cos	cos	ADP
fis-4859	282	55	sin	sin	NOUN
fis-4859	282	56	2	2	NUM
fis-4859	282	57	4pl	4pl	NOUN
fis-4859	283	1	kr	kr	PROPN
fis-4859	284	1	υ	υ	X
fis-4859	284	2	θ	θ	PROPN
fis-4859	284	3	θ	θ	PROPN
fis-4859	284	4	π	π	NOUN
fis-4859	284	5	σ	σ	PROPN
fis-4859	284	6			PROPN
fis-4859	284	7			PROPN
fis-4859	284	8			PROPN
fis-4859	284	9	=	=	X
fis-4859	284	10	−	−	X
fis-4859	285	1	+	+	CCONJ
fis-4859	285	2	+	+	ADJ
fis-4859	285	3			NOUN
fis-4859	285	4			NOUN
fis-4859	285	5			ADJ
fis-4859	285	6			ADJ
fis-4859	285	7			NOUN
fis-4859	285	8			X
fis-4859	285	9	.	.	PUNCT
fis-4859	286	1	(	(	PUNCT
fis-4859	286	2	plane	plane	NOUN
fis-4859	286	3	strain	strain	NOUN
fis-4859	286	4	)	)	PUNCT
fis-4859	286	5	(	(	PUNCT
fis-4859	286	6	22	22	NUM
fis-4859	286	7	)	)	PUNCT
fis-4859	286	8	eqns	eqns	PROPN
fis-4859	286	9	.	.	PUNCT
fis-4859	287	1	(	(	PUNCT
fis-4859	287	2	21	21	NUM
fis-4859	287	3	)	)	PUNCT
fis-4859	287	4	and	and	CCONJ
fis-4859	287	5	(	(	PUNCT
fis-4859	287	6	22	22	NUM
fis-4859	287	7	)	)	PUNCT
fis-4859	287	8	show	show	VERB
fis-4859	287	9	that	that	SCONJ
fis-4859	287	10	the	the	DET
fis-4859	287	11	area	area	NOUN
fis-4859	287	12	of	of	ADP
fis-4859	287	13	the	the	DET
fis-4859	287	14	plastic	plastic	NOUN
fis-4859	287	15	zone	zone	NOUN
fis-4859	287	16	in	in	ADP
fis-4859	287	17	the	the	DET
fis-4859	287	18	plane	plane	NOUN
fis-4859	287	19	strain	strain	NOUN
fis-4859	287	20	condition	condition	NOUN
fis-4859	287	21	(	(	PUNCT
fis-4859	287	22	triaxial	triaxial	NOUN
fis-4859	287	23	stress	stress	NOUN
fis-4859	287	24	state	state	NOUN
fis-4859	287	25	)	)	PUNCT
fis-4859	287	26	is	be	AUX
fis-4859	287	27	significantly	significantly	ADV
fis-4859	287	28	smaller	small	ADJ
fis-4859	287	29	than	than	ADP
fis-4859	287	30	in	in	ADP
fis-4859	287	31	the	the	DET
fis-4859	287	32	plane	plane	NOUN
fis-4859	287	33	stress	stress	NOUN
fis-4859	287	34	condition	condition	NOUN
fis-4859	287	35	.	.	PUNCT
fis-4859	288	1	it	it	PRON
fis-4859	288	2	follows	follow	VERB
fis-4859	288	3	,	,	PUNCT
fis-4859	288	4	that	that	SCONJ
fis-4859	288	5	the	the	DET
fis-4859	288	6	method	method	NOUN
fis-4859	288	7	should	should	AUX
fis-4859	288	8	be	be	AUX
fis-4859	288	9	applied	apply	VERB
fis-4859	288	10	for	for	ADP
fis-4859	288	11	sufficiently	sufficiently	ADV
fis-4859	288	12	thin	thin	ADJ
fis-4859	288	13	shells	shell	NOUN
fis-4859	288	14	,	,	PUNCT
fis-4859	288	15	as	as	SCONJ
fis-4859	288	16	solely	solely	ADV
fis-4859	288	17	the	the	DET
fis-4859	288	18	displacements	displacement	NOUN
fis-4859	288	19	of	of	ADP
fis-4859	288	20	the	the	DET
fis-4859	288	21	outer	outer	ADJ
fis-4859	288	22	surface	surface	NOUN
fis-4859	288	23	is	be	AUX
fis-4859	288	24	recorded	record	VERB
fis-4859	288	25	.	.	PUNCT
fis-4859	289	1	conclusions	conclusion	NOUN
fis-4859	289	2	his	his	PRON
fis-4859	289	3	paper	paper	NOUN
fis-4859	289	4	proposes	propose	VERB
fis-4859	289	5	a	a	DET
fis-4859	289	6	method	method	NOUN
fis-4859	289	7	to	to	PART
fis-4859	289	8	calculate	calculate	VERB
fis-4859	289	9	the	the	DET
fis-4859	289	10	sif	sif	NOUN
fis-4859	289	11	from	from	ADP
fis-4859	289	12	experimental	experimental	ADJ
fis-4859	289	13	data	datum	NOUN
fis-4859	289	14	for	for	ADP
fis-4859	289	15	developable	developable	ADJ
fis-4859	289	16	and	and	CCONJ
fis-4859	289	17	non	non	ADJ
fis-4859	289	18	-	-	ADJ
fis-4859	289	19	developable	developable	ADJ
fis-4859	289	20	surfaces	surface	NOUN
fis-4859	289	21	with	with	ADP
fis-4859	289	22	small	small	ADJ
fis-4859	289	23	or	or	CCONJ
fis-4859	289	24	moderate	moderate	ADJ
fis-4859	289	25	curvature	curvature	NOUN
fis-4859	289	26	.	.	PUNCT
fis-4859	290	1	the	the	DET
fis-4859	290	2	new	new	ADJ
fis-4859	290	3	method	method	NOUN
fis-4859	290	4	,	,	PUNCT
fis-4859	290	5	is	be	AUX
fis-4859	290	6	based	base	VERB
fis-4859	290	7	on	on	ADP
fis-4859	290	8	the	the	DET
fis-4859	290	9	truncated	truncate	VERB
fis-4859	290	10	williams	williams	PROPN
fis-4859	290	11	expansion	expansion	NOUN
fis-4859	290	12	of	of	ADP
fis-4859	290	13	the	the	DET
fis-4859	290	14	equivalent	equivalent	ADJ
fis-4859	290	15	displacement	displacement	ADJ
fis-4859	290	16	field	field	NOUN
fis-4859	290	17	,	,	PUNCT
fis-4859	290	18	obtained	obtain	VERB
fis-4859	290	19	by	by	ADP
fis-4859	290	20	assuming	assume	VERB
fis-4859	290	21	a	a	DET
fis-4859	290	22	shallow	shallow	ADJ
fis-4859	290	23	shell	shell	NOUN
fis-4859	290	24	and	and	CCONJ
fis-4859	290	25	taking	take	VERB
fis-4859	290	26	its	its	PRON
fis-4859	290	27	curvature	curvature	NOUN
fis-4859	290	28	into	into	ADP
fis-4859	290	29	account	account	NOUN
fis-4859	290	30	.	.	PUNCT
fis-4859	291	1	to	to	PART
fis-4859	291	2	verify	verify	VERB
fis-4859	291	3	the	the	DET
fis-4859	291	4	method	method	NOUN
fis-4859	291	5	,	,	PUNCT
fis-4859	291	6	the	the	DET
fis-4859	291	7	tension	tension	NOUN
fis-4859	291	8	problem	problem	NOUN
fis-4859	291	9	of	of	ADP
fis-4859	291	10	circumferential	circumferential	ADJ
fis-4859	291	11	cracks	crack	NOUN
fis-4859	291	12	in	in	ADP
fis-4859	291	13	cylindrical	cylindrical	ADJ
fis-4859	291	14	shells	shell	NOUN
fis-4859	291	15	is	be	AUX
fis-4859	291	16	studied	study	VERB
fis-4859	291	17	.	.	PUNCT
fis-4859	292	1	the	the	DET
fis-4859	292	2	experimental	experimental	ADJ
fis-4859	292	3	results	result	NOUN
fis-4859	292	4	are	be	AUX
fis-4859	292	5	compared	compare	VERB
fis-4859	292	6	against	against	ADP
fis-4859	292	7	theoretical	theoretical	ADJ
fis-4859	292	8	and	and	CCONJ
fis-4859	292	9	numerical	numerical	ADJ
fis-4859	292	10	predictions	prediction	NOUN
fis-4859	292	11	on	on	ADP
fis-4859	292	12	the	the	DET
fis-4859	292	13	same	same	ADJ
fis-4859	292	14	problem	problem	NOUN
fis-4859	292	15	.	.	PUNCT
fis-4859	293	1	then	then	ADV
fis-4859	293	2	,	,	PUNCT
fis-4859	293	3	the	the	DET
fis-4859	293	4	method	method	NOUN
fis-4859	293	5	is	be	AUX
fis-4859	293	6	applied	apply	VERB
fis-4859	293	7	to	to	ADP
fis-4859	293	8	the	the	DET
fis-4859	293	9	calculation	calculation	NOUN
fis-4859	293	10	of	of	ADP
fis-4859	293	11	crack	crack	NOUN
fis-4859	293	12	tip	tip	NOUN
fis-4859	293	13	sif	sif	NOUN
fis-4859	293	14	on	on	ADP
fis-4859	293	15	a	a	DET
fis-4859	293	16	hemispherical	hemispherical	ADJ
fis-4859	293	17	dome	dome	NOUN
fis-4859	293	18	and	and	CCONJ
fis-4859	293	19	compared	compare	VERB
fis-4859	293	20	with	with	ADP
fis-4859	293	21	the	the	DET
fis-4859	293	22	theoretical	theoretical	ADJ
fis-4859	293	23	solution	solution	NOUN
fis-4859	293	24	.	.	PUNCT
fis-4859	294	1	the	the	DET
fis-4859	294	2	following	follow	VERB
fis-4859	294	3	conclusions	conclusion	NOUN
fis-4859	294	4	can	can	AUX
fis-4859	294	5	be	be	AUX
fis-4859	294	6	drawn	draw	VERB
fis-4859	294	7	:	:	PUNCT
fis-4859	294	8	(	(	PUNCT
fis-4859	294	9	1	1	X
fis-4859	294	10	)	)	PUNCT
fis-4859	294	11	the	the	DET
fis-4859	294	12	repeated	repeat	VERB
fis-4859	294	13	experimental	experimental	ADJ
fis-4859	294	14	and	and	CCONJ
fis-4859	294	15	numerical	numerical	PROPN
fis-4859	294	16	simulation	simulation	PROPN
fis-4859	294	17	results	result	NOUN
fis-4859	294	18	are	be	AUX
fis-4859	294	19	close	close	ADJ
fis-4859	294	20	.	.	PUNCT
fis-4859	295	1	(	(	PUNCT
fis-4859	295	2	2	2	X
fis-4859	295	3	)	)	PUNCT
fis-4859	295	4	the	the	DET
fis-4859	295	5	method	method	NOUN
fis-4859	295	6	can	can	AUX
fis-4859	295	7	be	be	AUX
fis-4859	295	8	used	use	VERB
fis-4859	295	9	for	for	ADP
fis-4859	295	10	non	non	ADJ
fis-4859	295	11	-	-	ADJ
fis-4859	295	12	developable	developable	ADJ
fis-4859	295	13	surfaces	surface	NOUN
fis-4859	295	14	with	with	ADP
fis-4859	295	15	a	a	DET
fis-4859	295	16	moderate	moderate	ADJ
fis-4859	295	17	gaussian	gaussian	ADJ
fis-4859	295	18	curvature	curvature	NOUN
fis-4859	295	19	.	.	PUNCT
fis-4859	296	1	for	for	ADP
fis-4859	296	2	a	a	DET
fis-4859	296	3	hemispherical	hemispherical	ADJ
fis-4859	296	4	shell	shell	NOUN
fis-4859	296	5	,	,	PUNCT
fis-4859	296	6	the	the	DET
fis-4859	296	7	result	result	NOUN
fis-4859	296	8	of	of	ADP
fis-4859	296	9	dimensionless	dimensionless	NOUN
fis-4859	296	10	sifs	sif	NOUN
fis-4859	296	11	meets	meet	VERB
fis-4859	296	12	the	the	DET
fis-4859	296	13	results	result	NOUN
fis-4859	296	14	by	by	ADP
fis-4859	296	15	erdogan	erdogan	ADJ
fis-4859	296	16	,	,	PUNCT
fis-4859	296	17	f.	f.	PROPN
fis-4859	296	18	’s	’s	NOUN
fis-4859	296	19	for	for	ADP
fis-4859	296	20	crack	crack	NOUN
fis-4859	296	21	angles	angle	NOUN
fis-4859	296	22	well	well	ADV
fis-4859	296	23	between	between	ADP
fis-4859	296	24	30º	30º	NOUN
fis-4859	296	25	to	to	ADP
fis-4859	296	26	60º.	60º.	NUM
fis-4859	296	27	(	(	PUNCT
fis-4859	296	28	3	3	X
fis-4859	296	29	)	)	PUNCT
fis-4859	296	30	the	the	DET
fis-4859	296	31	tn	tn	NOUN
fis-4859	296	32	number	number	NOUN
fis-4859	296	33	of	of	ADP
fis-4859	296	34	terms	term	NOUN
fis-4859	296	35	in	in	ADP
fis-4859	296	36	the	the	DET
fis-4859	296	37	williams	williams	PROPN
fis-4859	296	38	expansion	expansion	NOUN
fis-4859	296	39	affects	affect	VERB
fis-4859	296	40	the	the	DET
fis-4859	296	41	method	method	NOUN
fis-4859	296	42	’s	’s	PART
fis-4859	296	43	accuracy	accuracy	NOUN
fis-4859	296	44	.	.	PUNCT
fis-4859	297	1	convergence	convergence	NOUN
fis-4859	297	2	in	in	ADP
fis-4859	297	3	the	the	DET
fis-4859	297	4	sif	sif	NOUN
fis-4859	297	5	requires	require	VERB
fis-4859	297	6	tn	tn	NOUN
fis-4859	297	7	to	to	PART
fis-4859	297	8	exceed	exceed	VERB
fis-4859	297	9	6	6	NUM
fis-4859	297	10	.	.	PUNCT
fis-4859	298	1	(	(	PUNCT
fis-4859	298	2	4	4	NUM
fis-4859	298	3	)	)	PUNCT
fis-4859	298	4	for	for	ADP
fis-4859	298	5	different	different	ADJ
fis-4859	298	6	geometries	geometry	NOUN
fis-4859	298	7	,	,	PUNCT
fis-4859	298	8	the	the	DET
fis-4859	298	9	data	datum	NOUN
fis-4859	298	10	selection	selection	NOUN
fis-4859	298	11	radius	radius	NOUN
fis-4859	298	12	rs	rs	NOUN
fis-4859	298	13	should	should	AUX
fis-4859	298	14	correspond	correspond	VERB
fis-4859	298	15	to	to	ADP
fis-4859	298	16	the	the	DET
fis-4859	298	17	length	length	NOUN
fis-4859	298	18	of	of	ADP
fis-4859	298	19	cracks	crack	NOUN
fis-4859	298	20	.	.	PUNCT
fis-4859	299	1	when	when	SCONJ
fis-4859	299	2	the	the	DET
fis-4859	299	3	ratio	ratio	NOUN
fis-4859	299	4	rs	r	VERB
fis-4859	299	5	/	/	SYM
fis-4859	299	6	a	a	DET
fis-4859	299	7	exceeds	exceed	NOUN
fis-4859	299	8	0.3	0.3	NUM
fis-4859	299	9	,	,	PUNCT
fis-4859	299	10	then	then	ADV
fis-4859	299	11	convergence	convergence	NOUN
fis-4859	299	12	in	in	ADP
fis-4859	299	13	the	the	DET
fis-4859	299	14	sif	sif	NOUN
fis-4859	299	15	is	be	AUX
fis-4859	299	16	robust	robust	ADJ
fis-4859	299	17	.	.	PUNCT
fis-4859	300	1	acknowledgments	acknowledgment	NOUN
fis-4859	300	2	his	his	PRON
fis-4859	300	3	work	work	NOUN
fis-4859	300	4	was	be	AUX
fis-4859	300	5	supported	support	VERB
fis-4859	300	6	by	by	ADP
fis-4859	300	7	the	the	DET
fis-4859	300	8	nkfih	nkfih	NOUN
fis-4859	300	9	grant	grant	PROPN
fis-4859	300	10	k143175	k143175	PROPN
fis-4859	300	11	,	,	PUNCT
fis-4859	300	12	the	the	DET
fis-4859	300	13	tkp2021	tkp2021	NOUN
fis-4859	300	14	-	-	PUNCT
fis-4859	300	15	nva	nva	PROPN
fis-4859	300	16	funding	funding	NOUN
fis-4859	300	17	scheme	scheme	NOUN
fis-4859	300	18	granted	grant	VERB
fis-4859	300	19	by	by	ADP
fis-4859	300	20	the	the	DET
fis-4859	300	21	national	national	ADJ
fis-4859	300	22	research	research	PROPN
fis-4859	300	23	,	,	PUNCT
fis-4859	300	24	development	development	NOUN
fis-4859	300	25	,	,	PUNCT
fis-4859	300	26	and	and	CCONJ
fis-4859	300	27	innovation	innovation	NOUN
fis-4859	300	28	fund	fund	NOUN
fis-4859	300	29	and	and	CCONJ
fis-4859	300	30	the	the	DET
fis-4859	300	31	china	china	PROPN
fis-4859	300	32	scholarship	scholarship	PROPN
fis-4859	300	33	council	council	PROPN
fis-4859	300	34	(	(	PUNCT
fis-4859	300	35	202008210195	202008210195	NUM
fis-4859	300	36	)	)	PUNCT
fis-4859	300	37	.	.	PUNCT
fis-4859	301	1	conflict	conflict	NOUN
fis-4859	301	2	of	of	ADP
fis-4859	301	3	interest	interest	NOUN
fis-4859	301	4	statement	statement	NOUN
fis-4859	301	5	he	he	PRON
fis-4859	301	6	authors	author	NOUN
fis-4859	301	7	declare	declare	VERB
fis-4859	301	8	no	no	DET
fis-4859	301	9	potential	potential	ADJ
fis-4859	301	10	conflict	conflict	NOUN
fis-4859	301	11	of	of	ADP
fis-4859	301	12	interest	interest	NOUN
fis-4859	301	13	.	.	PUNCT
fis-4859	302	1	references	reference	NOUN
fis-4859	302	2	[	[	X
fis-4859	302	3	1	1	NUM
fis-4859	302	4	]	]	X
fis-4859	302	5	khalilpasha	khalilpasha	PROPN
fis-4859	302	6	,	,	PUNCT
fis-4859	302	7	h.	h.	PROPN
fis-4859	302	8	and	and	CCONJ
fis-4859	302	9	albermani	albermani	PROPN
fis-4859	302	10	,	,	PUNCT
fis-4859	302	11	f.	f.	PROPN
fis-4859	302	12	(	(	PUNCT
fis-4859	302	13	2013	2013	NUM
fis-4859	302	14	)	)	PUNCT
fis-4859	302	15	.	.	PUNCT
fis-4859	303	1	textured	texture	VERB
fis-4859	303	2	deep	deep	ADJ
fis-4859	303	3	subsea	subsea	NOUN
fis-4859	303	4	pipelines	pipeline	NOUN
fis-4859	303	5	.	.	PUNCT
fis-4859	304	1	international	international	ADJ
fis-4859	304	2	journal	journal	PROPN
fis-4859	304	3	of	of	ADP
fis-4859	304	4	mechanical	mechanical	ADJ
fis-4859	304	5	sciences	science	NOUN
fis-4859	304	6	,	,	PUNCT
fis-4859	304	7	68	68	NUM
fis-4859	304	8	,	,	PUNCT
fis-4859	304	9	pp.224	pp.224	PROPN
fis-4859	304	10	-	-	PUNCT
fis-4859	304	11	235	235	NUM
fis-4859	304	12	.	.	PUNCT
fis-4859	305	1	doi	doi	NOUN
fis-4859	305	2	:	:	PUNCT
fis-4859	305	3	10.1016	10.1016	NUM
fis-4859	305	4	/	/	SYM
fis-4859	305	5	j.ijmecsci.2013.01.019	j.ijmecsci.2013.01.019	NOUN
fis-4859	305	6	.	.	PUNCT
fis-4859	306	1	[	[	X
fis-4859	306	2	2	2	NUM
fis-4859	306	3	]	]	X
fis-4859	306	4	bolonkin	bolonkin	ADJ
fis-4859	306	5	,	,	PUNCT
fis-4859	306	6	a.	a.	NOUN
fis-4859	306	7	a.	a.	NOUN
fis-4859	306	8	(	(	PUNCT
fis-4859	306	9	2010	2010	NUM
fis-4859	306	10	)	)	PUNCT
fis-4859	306	11	.	.	PUNCT
fis-4859	307	1	aerial	aerial	ADJ
fis-4859	307	2	high	high	ADJ
fis-4859	307	3	altitude	altitude	NOUN
fis-4859	307	4	gas	gas	NOUN
fis-4859	307	5	pipeline	pipeline	NOUN
fis-4859	307	6	.	.	PUNCT
fis-4859	308	1	journal	journal	PROPN
fis-4859	308	2	of	of	ADP
fis-4859	308	3	natural	natural	ADJ
fis-4859	308	4	gas	gas	NOUN
fis-4859	308	5	science	science	NOUN
fis-4859	308	6	and	and	CCONJ
fis-4859	308	7	engineering	engineering	NOUN
fis-4859	308	8	,	,	PUNCT
fis-4859	308	9	2(2	2(2	NUM
fis-4859	308	10	-	-	SYM
fis-4859	308	11	3	3	NUM
fis-4859	308	12	)	)	PUNCT
fis-4859	308	13	,	,	PUNCT
fis-4859	308	14	pp	pp	PROPN
fis-4859	308	15	.	.	PUNCT
fis-4859	309	1	114	114	NUM
fis-4859	309	2	-	-	SYM
fis-4859	309	3	121	121	NUM
fis-4859	309	4	.	.	PUNCT
fis-4859	310	1	doi	doi	NOUN
fis-4859	310	2	:	:	PUNCT
fis-4859	310	3	10.1016	10.1016	NUM
fis-4859	310	4	/	/	SYM
fis-4859	310	5	j.jngse.2010.04.003	j.jngse.2010.04.003	NOUN
fis-4859	310	6	.	.	PUNCT
fis-4859	311	1	[	[	X
fis-4859	311	2	3	3	NUM
fis-4859	311	3	]	]	X
fis-4859	311	4	zheng	zheng	PROPN
fis-4859	311	5	,	,	PUNCT
fis-4859	311	6	j.	j.	PROPN
fis-4859	311	7	y.	y.	PROPN
fis-4859	311	8	,	,	PUNCT
fis-4859	311	9	xu	xu	PROPN
fis-4859	311	10	,	,	PUNCT
fis-4859	311	11	p.	p.	NOUN
fis-4859	311	12	and	and	CCONJ
fis-4859	311	13	chen	chen	PROPN
fis-4859	311	14	,	,	PUNCT
fis-4859	311	15	c.	c.	PROPN
fis-4859	311	16	(	(	PUNCT
fis-4859	311	17	1998	1998	NUM
fis-4859	311	18	)	)	PUNCT
fis-4859	311	19	.	.	PUNCT
fis-4859	312	1	investigation	investigation	NOUN
fis-4859	312	2	on	on	ADP
fis-4859	312	3	bursting	burst	VERB
fis-4859	312	4	pressure	pressure	NOUN
fis-4859	312	5	of	of	ADP
fis-4859	312	6	flat	flat	ADJ
fis-4859	312	7	steel	steel	NOUN
fis-4859	312	8	ribbon	ribbon	NOUN
fis-4859	312	9	wound	wound	NOUN
fis-4859	312	10	pressure	pressure	NOUN
fis-4859	312	11	vessels	vessel	NOUN
fis-4859	312	12	.	.	PUNCT
fis-4859	313	1	international	international	ADJ
fis-4859	313	2	journal	journal	NOUN
fis-4859	313	3	of	of	ADP
fis-4859	313	4	pressure	pressure	NOUN
fis-4859	313	5	vessels	vessel	NOUN
fis-4859	313	6	and	and	CCONJ
fis-4859	313	7	piping	piping	NOUN
fis-4859	313	8	,	,	PUNCT
fis-4859	313	9	75(7	75(7	NUM
fis-4859	313	10	)	)	PUNCT
fis-4859	313	11	,	,	PUNCT
fis-4859	313	12	pp	pp	ADP
fis-4859	313	13	.	.	PUNCT
fis-4859	314	1	581	581	NUM
fis-4859	314	2	-	-	SYM
fis-4859	314	3	587	587	NUM
fis-4859	314	4	.	.	PUNCT
fis-4859	315	1	doi	doi	NOUN
fis-4859	315	2	:	:	PUNCT
fis-4859	315	3	10.1016	10.1016	NUM
fis-4859	315	4	/	/	SYM
fis-4859	315	5	s0308	s0308	PROPN
fis-4859	315	6	-	-	PUNCT
fis-4859	315	7	0161(98)00061	0161(98)00061	NUM
fis-4859	315	8	-	-	PUNCT
fis-4859	315	9	1	1	NUM
fis-4859	315	10	.	.	PUNCT
fis-4859	316	1	[	[	X
fis-4859	316	2	4	4	NUM
fis-4859	316	3	]	]	X
fis-4859	316	4	chen	chen	PROPN
fis-4859	316	5	,	,	PUNCT
fis-4859	316	6	m.	m.	NOUN
fis-4859	316	7	,	,	PUNCT
fis-4859	316	8	lu	lu	PROPN
fis-4859	316	9	,	,	PUNCT
fis-4859	316	10	f.	f.	PROPN
fis-4859	316	11	,	,	PUNCT
fis-4859	316	12	wang	wang	PROPN
fis-4859	316	13	,	,	PUNCT
fis-4859	316	14	r.	r.	PROPN
fis-4859	316	15	,	,	PUNCT
fis-4859	316	16	yu	yu	PROPN
fis-4859	316	17	,	,	PUNCT
fis-4859	316	18	w.	w.	PROPN
fis-4859	316	19	,	,	PUNCT
fis-4859	316	20	wang	wang	PROPN
fis-4859	316	21	,	,	PUNCT
fis-4859	316	22	d.	d.	PROPN
fis-4859	316	23	,	,	PUNCT
fis-4859	316	24	zhang	zhang	PROPN
fis-4859	316	25	,	,	PUNCT
fis-4859	316	26	g.	g.	PROPN
fis-4859	316	27	and	and	CCONJ
fis-4859	316	28	xue	xue	PROPN
fis-4859	316	29	,	,	PUNCT
fis-4859	316	30	f.	f.	PROPN
fis-4859	316	31	(	(	PUNCT
fis-4859	316	32	2015	2015	NUM
fis-4859	316	33	)	)	PUNCT
fis-4859	316	34	.	.	PUNCT
fis-4859	317	1	the	the	DET
fis-4859	317	2	probabilistic	probabilistic	ADJ
fis-4859	317	3	structural	structural	ADJ
fis-4859	317	4	integrity	integrity	NOUN
fis-4859	317	5	assessment	assessment	NOUN
fis-4859	317	6	of	of	ADP
fis-4859	317	7	reactor	reactor	NOUN
fis-4859	317	8	pressure	pressure	NOUN
fis-4859	317	9	vessels	vessel	NOUN
fis-4859	317	10	under	under	ADP
fis-4859	317	11	pressurized	pressurized	ADJ
fis-4859	317	12	thermal	thermal	ADJ
fis-4859	317	13	shock	shock	NOUN
fis-4859	317	14	loading	loading	NOUN
fis-4859	317	15	.	.	PUNCT
fis-4859	318	1	nuclear	nuclear	ADJ
fis-4859	318	2	engineering	engineering	NOUN
fis-4859	318	3	and	and	CCONJ
fis-4859	318	4	design	design	NOUN
fis-4859	318	5	,	,	PUNCT
fis-4859	318	6	294	294	NUM
fis-4859	318	7	,	,	PUNCT
fis-4859	318	8	pp	pp	ADJ
fis-4859	318	9	.	.	PUNCT
fis-4859	319	1	93	93	NUM
fis-4859	319	2	-	-	SYM
fis-4859	319	3	102	102	NUM
fis-4859	319	4	.	.	PUNCT
fis-4859	320	1	doi	doi	NOUN
fis-4859	320	2	:	:	PUNCT
fis-4859	320	3	10.1016	10.1016	NUM
fis-4859	320	4	/	/	SYM
fis-4859	320	5	j.nucengdes.2015.08.020	j.nucengdes.2015.08.020	PROPN
fis-4859	320	6	.	.	PUNCT
fis-4859	321	1	[	[	X
fis-4859	321	2	5	5	NUM
fis-4859	321	3	]	]	PUNCT
fis-4859	321	4	diamantoudis	diamantoudi	NOUN
fis-4859	321	5	,	,	PUNCT
fis-4859	321	6	a.	a.	NOUN
fis-4859	321	7	t.	t.	PROPN
fis-4859	321	8	and	and	CCONJ
fis-4859	321	9	kermanidis	kermanidis	PROPN
fis-4859	321	10	,	,	PUNCT
fis-4859	321	11	t.	t.	PROPN
fis-4859	321	12	(	(	PUNCT
fis-4859	321	13	2005	2005	NUM
fis-4859	321	14	)	)	PUNCT
fis-4859	321	15	.	.	PUNCT
fis-4859	322	1	design	design	NOUN
fis-4859	322	2	by	by	ADP
fis-4859	322	3	analysis	analysis	NOUN
fis-4859	322	4	versus	versus	ADP
fis-4859	322	5	design	design	NOUN
fis-4859	322	6	by	by	ADP
fis-4859	322	7	formula	formula	NOUN
fis-4859	322	8	of	of	ADP
fis-4859	322	9	high	high	ADJ
fis-4859	322	10	strength	strength	NOUN
fis-4859	322	11	steel	steel	NOUN
fis-4859	322	12	pressure	pressure	NOUN
fis-4859	322	13	vessels	vessel	NOUN
fis-4859	322	14	:	:	PUNCT
fis-4859	322	15	a	a	DET
fis-4859	322	16	comparative	comparative	ADJ
fis-4859	322	17	study	study	NOUN
fis-4859	322	18	.	.	PUNCT
fis-4859	323	1	international	international	ADJ
fis-4859	323	2	journal	journal	NOUN
fis-4859	323	3	of	of	ADP
fis-4859	323	4	pressure	pressure	NOUN
fis-4859	323	5	vessels	vessel	NOUN
fis-4859	323	6	and	and	CCONJ
fis-4859	323	7	piping	piping	NOUN
fis-4859	323	8	,	,	PUNCT
fis-4859	323	9	82(1	82(1	NOUN
fis-4859	323	10	)	)	PUNCT
fis-4859	323	11	,	,	PUNCT
fis-4859	323	12	pp	pp	ADP
fis-4859	323	13	.	.	PUNCT
fis-4859	324	1	43	43	NUM
fis-4859	324	2	-	-	SYM
fis-4859	324	3	50	50	NUM
fis-4859	324	4	.	.	PUNCT
fis-4859	325	1	doi	doi	NOUN
fis-4859	325	2	:	:	PUNCT
fis-4859	325	3	10.1016	10.1016	NUM
fis-4859	325	4	/	/	SYM
fis-4859	325	5	j.ijpvp.2004.06.0	j.ijpvp.2004.06.0	PROPN
fis-4859	325	6	.	.	PUNCT
fis-4859	326	1	t	t	PROPN
fis-4859	326	2	t	t	PROPN
fis-4859	326	3	t	t	PROPN
fis-4859	326	4	s.	s.	PROPN
fis-4859	326	5	cao	cao	PROPN
fis-4859	326	6	et	et	PROPN
fis-4859	326	7	alii	alii	PROPN
fis-4859	326	8	,	,	PUNCT
fis-4859	326	9	frattura	frattura	PROPN
fis-4859	326	10	ed	ed	PROPN
fis-4859	326	11	integrità	integrità	PROPN
fis-4859	326	12	strutturale	strutturale	PROPN
fis-4859	326	13	,	,	PUNCT
fis-4859	326	14	69	69	NUM
fis-4859	326	15	(	(	PUNCT
fis-4859	326	16	2024	2024	NUM
fis-4859	326	17	)	)	PUNCT
fis-4859	326	18	1	1	NUM
fis-4859	326	19	-	-	SYM
fis-4859	326	20	17	17	NUM
fis-4859	326	21	;	;	PUNCT
fis-4859	326	22	doi	doi	NOUN
fis-4859	326	23	:	:	PUNCT
fis-4859	326	24	10.3221	10.3221	NUM
fis-4859	326	25	/	/	SYM
fis-4859	326	26	igf	igf	PROPN
fis-4859	326	27	-	-	PUNCT
fis-4859	326	28	esis.69.01	esis.69.01	PROPN
fis-4859	326	29	15	15	NUM
fis-4859	327	1	[	[	SYM
fis-4859	327	2	6	6	NUM
fis-4859	327	3	]	]	X
fis-4859	327	4	qasim	qasim	PROPN
fis-4859	327	5	,	,	PUNCT
fis-4859	327	6	t.	t.	PROPN
fis-4859	327	7	,	,	PUNCT
fis-4859	327	8	ford	ford	PROPN
fis-4859	327	9	,	,	PUNCT
fis-4859	327	10	c.	c.	PROPN
fis-4859	327	11	,	,	PUNCT
fis-4859	327	12	bush	bush	PROPN
fis-4859	327	13	,	,	PUNCT
fis-4859	327	14	m.	m.	PROPN
fis-4859	327	15	b.	b.	PROPN
fis-4859	327	16	,	,	PUNCT
fis-4859	327	17	hu	hu	PROPN
fis-4859	327	18	,	,	PUNCT
fis-4859	327	19	x.	x.	PROPN
fis-4859	327	20	,	,	PUNCT
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fis-4859	327	22	,	,	PUNCT
fis-4859	327	23	k.	k.	PROPN
fis-4859	327	24	a.	a.	PROPN
fis-4859	327	25	and	and	CCONJ
fis-4859	327	26	lawn	lawn	PROPN
fis-4859	327	27	,	,	PUNCT
fis-4859	327	28	b.	b.	PROPN
fis-4859	327	29	r.	r.	PROPN
fis-4859	327	30	(	(	PUNCT
fis-4859	327	31	2007	2007	NUM
fis-4859	327	32	)	)	PUNCT
fis-4859	327	33	.	.	PUNCT
fis-4859	328	1	margin	margin	NOUN
fis-4859	328	2	failures	failure	NOUN
fis-4859	328	3	in	in	ADP
fis-4859	328	4	brittle	brittle	ADJ
fis-4859	328	5	dome	dome	NOUN
fis-4859	328	6	structures	structure	NOUN
fis-4859	328	7	:	:	PUNCT
fis-4859	328	8	relevance	relevance	NOUN
fis-4859	328	9	to	to	ADP
fis-4859	328	10	failure	failure	NOUN
fis-4859	328	11	of	of	ADP
fis-4859	328	12	dental	dental	ADJ
fis-4859	328	13	crowns	crown	NOUN
fis-4859	328	14	.	.	PUNCT
fis-4859	329	1	journal	journal	PROPN
fis-4859	329	2	of	of	ADP
fis-4859	329	3	biomedical	biomedical	ADJ
fis-4859	329	4	materials	material	NOUN
fis-4859	329	5	research	research	NOUN
fis-4859	329	6	part	part	NOUN
fis-4859	329	7	b	b	PROPN
fis-4859	329	8	:	:	PUNCT
fis-4859	329	9	applied	apply	VERB
fis-4859	329	10	biomaterials	biomaterial	NOUN
fis-4859	329	11	:	:	PUNCT
fis-4859	329	12	an	an	DET
fis-4859	329	13	official	official	ADJ
fis-4859	329	14	journal	journal	NOUN
fis-4859	329	15	of	of	ADP
fis-4859	329	16	the	the	DET
fis-4859	329	17	society	society	NOUN
fis-4859	329	18	for	for	ADP
fis-4859	329	19	biomaterials	biomaterial	NOUN
fis-4859	329	20	,	,	PUNCT
fis-4859	329	21	the	the	DET
fis-4859	329	22	japanese	japanese	ADJ
fis-4859	329	23	society	society	NOUN
fis-4859	329	24	for	for	ADP
fis-4859	329	25	biomaterials	biomaterial	NOUN
fis-4859	329	26	,	,	PUNCT
fis-4859	329	27	and	and	CCONJ
fis-4859	329	28	the	the	DET
fis-4859	329	29	australian	australian	ADJ
fis-4859	329	30	society	society	NOUN
fis-4859	329	31	for	for	ADP
fis-4859	329	32	biomaterials	biomaterial	NOUN
fis-4859	329	33	and	and	CCONJ
fis-4859	329	34	the	the	DET
fis-4859	329	35	korean	korean	ADJ
fis-4859	329	36	society	society	NOUN
fis-4859	329	37	for	for	ADP
fis-4859	329	38	biomaterials	biomaterial	NOUN
fis-4859	329	39	,	,	PUNCT
fis-4859	329	40	80(1	80(1	NUM
fis-4859	329	41	)	)	PUNCT
fis-4859	329	42	,	,	PUNCT
fis-4859	329	43	pp	pp	PROPN
fis-4859	329	44	.	.	PUNCT
fis-4859	330	1	78	78	NUM
fis-4859	330	2	-	-	SYM
fis-4859	330	3	85	85	NUM
fis-4859	330	4	.	.	PUNCT
fis-4859	331	1	doi	doi	NOUN
fis-4859	331	2	:	:	PUNCT
fis-4859	331	3	10.1002	10.1002	NUM
fis-4859	331	4	/	/	SYM
fis-4859	331	5	jbm.b.30571	jbm.b.30571	PROPN
fis-4859	331	6	.	.	PUNCT
fis-4859	332	1	[	[	X
fis-4859	332	2	7	7	NUM
fis-4859	332	3	]	]	X
fis-4859	332	4	jasieńko	jasieńko	PROPN
fis-4859	332	5	,	,	PUNCT
fis-4859	332	6	j.	j.	PROPN
fis-4859	332	7	,	,	PUNCT
fis-4859	332	8	raszczuk	raszczuk	NOUN
fis-4859	332	9	,	,	PUNCT
fis-4859	332	10	k.	k.	PROPN
fis-4859	332	11	,	,	PUNCT
fis-4859	332	12	kleszcz	kleszcz	PROPN
fis-4859	332	13	,	,	PUNCT
fis-4859	332	14	k.	k.	PROPN
fis-4859	332	15	and	and	CCONJ
fis-4859	332	16	frąckiewicz	frąckiewicz	PROPN
fis-4859	332	17	,	,	PUNCT
fis-4859	332	18	p.	p.	NOUN
fis-4859	332	19	(	(	PUNCT
fis-4859	332	20	2021	2021	NUM
fis-4859	332	21	,	,	PUNCT
fis-4859	332	22	june	june	PROPN
fis-4859	332	23	)	)	PUNCT
fis-4859	332	24	.	.	PUNCT
fis-4859	333	1	numerical	numerical	ADJ
fis-4859	333	2	analysis	analysis	NOUN
fis-4859	333	3	of	of	ADP
fis-4859	333	4	historical	historical	ADJ
fis-4859	333	5	masonry	masonry	NOUN
fis-4859	333	6	domes	dome	NOUN
fis-4859	333	7	:	:	PUNCT
fis-4859	333	8	a	a	DET
fis-4859	333	9	study	study	NOUN
fis-4859	333	10	of	of	ADP
fis-4859	333	11	st	st	PROPN
fis-4859	333	12	.	.	PROPN
fis-4859	333	13	peter	peter	PROPN
fis-4859	333	14	’s	’s	PROPN
fis-4859	333	15	basilica	basilica	PROPN
fis-4859	333	16	dome	dome	PROPN
fis-4859	333	17	,	,	PUNCT
fis-4859	333	18	structures	structure	NOUN
fis-4859	333	19	,	,	PUNCT
fis-4859	333	20	31	31	NUM
fis-4859	333	21	,	,	PUNCT
fis-4859	333	22	pp	pp	ADJ
fis-4859	333	23	.	.	PUNCT
fis-4859	334	1	80	80	NUM
fis-4859	334	2	-	-	SYM
fis-4859	334	3	86	86	NUM
fis-4859	334	4	.	.	PUNCT
fis-4859	335	1	elsevier	elsevier	NOUN
fis-4859	335	2	.	.	PUNCT
fis-4859	336	1	doi	doi	PROPN
fis-4859	336	2	:	:	PUNCT
fis-4859	336	3	10.1016	10.1016	NUM
fis-4859	336	4	/	/	SYM
fis-4859	336	5	j.istruc.2021.01.082	j.istruc.2021.01.082	PROPN
fis-4859	336	6	.	.	PUNCT
fis-4859	337	1	[	[	X
fis-4859	337	2	8	8	NUM
fis-4859	337	3	]	]	X
fis-4859	337	4	masi	masi	PROPN
fis-4859	337	5	,	,	PUNCT
fis-4859	337	6	f.	f.	PROPN
fis-4859	337	7	,	,	PUNCT
fis-4859	337	8	stefanou	stefanou	PROPN
fis-4859	337	9	,	,	PUNCT
fis-4859	337	10	i.	i.	NOUN
fis-4859	337	11	and	and	CCONJ
fis-4859	337	12	vannucci	vannucci	PROPN
fis-4859	337	13	,	,	PUNCT
fis-4859	337	14	p.	p.	NOUN
fis-4859	337	15	(	(	PUNCT
fis-4859	337	16	2018	2018	NUM
fis-4859	337	17	)	)	PUNCT
fis-4859	337	18	.	.	PUNCT
fis-4859	338	1	on	on	ADP
fis-4859	338	2	the	the	DET
fis-4859	338	3	origin	origin	NOUN
fis-4859	338	4	of	of	ADP
fis-4859	338	5	the	the	DET
fis-4859	338	6	cracks	crack	NOUN
fis-4859	338	7	in	in	ADP
fis-4859	338	8	the	the	DET
fis-4859	338	9	dome	dome	NOUN
fis-4859	338	10	of	of	ADP
fis-4859	338	11	the	the	DET
fis-4859	338	12	pantheon	pantheon	NOUN
fis-4859	338	13	in	in	ADP
fis-4859	338	14	rome	rome	PROPN
fis-4859	338	15	.	.	PUNCT
fis-4859	339	1	engineering	engineering	NOUN
fis-4859	339	2	failure	failure	NOUN
fis-4859	339	3	analysis	analysis	NOUN
fis-4859	339	4	,	,	PUNCT
fis-4859	339	5	92	92	NUM
fis-4859	339	6	,	,	PUNCT
fis-4859	339	7	pp	pp	ADJ
fis-4859	339	8	.	.	PUNCT
fis-4859	340	1	587	587	NUM
fis-4859	340	2	-	-	SYM
fis-4859	340	3	596	596	NUM
fis-4859	340	4	.	.	PUNCT
fis-4859	341	1	doi	doi	NOUN
fis-4859	341	2	:	:	PUNCT
fis-4859	341	3	10.1016	10.1016	NUM
fis-4859	341	4	/	/	SYM
fis-4859	341	5	j.engfailanal.2018.06.013	j.engfailanal.2018.06.013	NOUN
fis-4859	341	6	.	.	PUNCT
fis-4859	342	1	[	[	X
fis-4859	342	2	9	9	NUM
fis-4859	342	3	]	]	X
fis-4859	342	4	richard	richard	PROPN
fis-4859	342	5	,	,	PUNCT
fis-4859	342	6	h.a	h.a	PROPN
fis-4859	342	7	.	.	PROPN
fis-4859	342	8	,	,	PUNCT
fis-4859	342	9	sander	sander	NOUN
fis-4859	342	10	,	,	PUNCT
fis-4859	342	11	m.	m.	NOUN
fis-4859	342	12	(	(	PUNCT
fis-4859	342	13	2016	2016	NUM
fis-4859	342	14	)	)	PUNCT
fis-4859	342	15	.	.	PUNCT
fis-4859	343	1	damages	damage	NOUN
fis-4859	343	2	caused	cause	VERB
fis-4859	343	3	by	by	ADP
fis-4859	343	4	crack	crack	NOUN
fis-4859	343	5	growth	growth	NOUN
fis-4859	343	6	.	.	PUNCT
fis-4859	344	1	in	in	ADP
fis-4859	344	2	:	:	PUNCT
fis-4859	344	3	fatigue	fatigue	NOUN
fis-4859	344	4	crack	crack	NOUN
fis-4859	344	5	growth	growth	NOUN
fis-4859	344	6	.	.	PUNCT
fis-4859	345	1	solid	solid	ADJ
fis-4859	345	2	mechanics	mechanic	NOUN
fis-4859	345	3	and	and	CCONJ
fis-4859	345	4	its	its	PRON
fis-4859	345	5	applications	application	NOUN
fis-4859	345	6	,	,	PUNCT
fis-4859	345	7	berlin	berlin	PROPN
fis-4859	345	8	,	,	PUNCT
fis-4859	345	9	springer	springer	NOUN
fis-4859	345	10	,	,	PUNCT
fis-4859	345	11	pp	pp	X
fis-4859	345	12	.	.	PUNCT
fis-4859	346	1	27–53	27–53	NUM
fis-4859	346	2	.	.	PUNCT
fis-4859	347	1	doi	doi	NOUN
fis-4859	347	2	:	:	PUNCT
fis-4859	347	3	10.1007/978	10.1007/978	NUM
fis-4859	347	4	-	-	SYM
fis-4859	347	5	3	3	NUM
fis-4859	347	6	-	-	NUM
fis-4859	347	7	319	319	NUM
fis-4859	347	8	-	-	PUNCT
fis-4859	347	9	32534	32534	NUM
fis-4859	347	10	-	-	PUNCT
fis-4859	347	11	7_2	7_2	NUM
fis-4859	347	12	.	.	PUNCT
fis-4859	348	1	[	[	X
fis-4859	348	2	10	10	NUM
fis-4859	348	3	]	]	X
fis-4859	348	4	cao	cao	PROPN
fis-4859	348	5	,	,	PUNCT
fis-4859	348	6	s.	s.	PROPN
fis-4859	348	7	and	and	CCONJ
fis-4859	348	8	sipos	sipos	PROPN
fis-4859	348	9	,	,	PUNCT
fis-4859	348	10	a.	a.	NOUN
fis-4859	348	11	a.	a.	NOUN
fis-4859	348	12	(	(	PUNCT
fis-4859	348	13	2022	2022	NUM
fis-4859	348	14	)	)	PUNCT
fis-4859	348	15	.	.	PUNCT
fis-4859	349	1	cracking	crack	VERB
fis-4859	349	2	patterns	pattern	NOUN
fis-4859	349	3	of	of	ADP
fis-4859	349	4	brittle	brittle	ADJ
fis-4859	349	5	hemispherical	hemispherical	ADJ
fis-4859	349	6	domes	dome	NOUN
fis-4859	349	7	:	:	PUNCT
fis-4859	349	8	an	an	DET
fis-4859	349	9	experimental	experimental	ADJ
fis-4859	349	10	study	study	NOUN
fis-4859	349	11	.	.	PUNCT
fis-4859	350	1	frattura	frattura	PROPN
fis-4859	350	2	ed	ed	PROPN
fis-4859	350	3	integrità	integrità	PROPN
fis-4859	350	4	strutturale	strutturale	PROPN
fis-4859	350	5	,	,	PUNCT
fis-4859	350	6	59	59	NUM
fis-4859	350	7	,	,	PUNCT
fis-4859	350	8	pp	pp	ADJ
fis-4859	350	9	.	.	PUNCT
fis-4859	351	1	265	265	NUM
fis-4859	351	2	-	-	SYM
fis-4859	351	3	310	310	NUM
fis-4859	351	4	.	.	PUNCT
fis-4859	352	1	doi	doi	NOUN
fis-4859	352	2	:	:	PUNCT
fis-4859	352	3	10.3221	10.3221	NUM
fis-4859	352	4	/	/	SYM
fis-4859	352	5	igf	igf	PROPN
fis-4859	352	6	-	-	PROPN
fis-4859	352	7	esis.59.20	esis.59.20	PROPN
fis-4859	352	8	.	.	PUNCT
fis-4859	353	1	[	[	X
fis-4859	353	2	11	11	NUM
fis-4859	353	3	]	]	X
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fis-4859	353	5	,	,	PUNCT
fis-4859	353	6	e.	e.	PROPN
fis-4859	353	7	,	,	PUNCT
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fis-4859	353	9	,	,	PUNCT
fis-4859	353	10	m.	m.	NOUN
fis-4859	353	11	a.	a.	PROPN
fis-4859	353	12	,	,	PUNCT
fis-4859	353	13	gilbert	gilbert	PROPN
fis-4859	353	14	,	,	PUNCT
fis-4859	353	15	r.	r.	PROPN
fis-4859	353	16	i.	i.	PROPN
fis-4859	353	17	and	and	CCONJ
fis-4859	353	18	chang	chang	PROPN
fis-4859	353	19	,	,	PUNCT
fis-4859	353	20	z.	z.	PROPN
fis-4859	353	21	t.	t.	PROPN
fis-4859	353	22	(	(	PUNCT
fis-4859	353	23	2011	2011	NUM
fis-4859	353	24	)	)	PUNCT
fis-4859	353	25	.	.	PUNCT
fis-4859	354	1	analytical	analytical	ADJ
fis-4859	354	2	model	model	NOUN
fis-4859	354	3	and	and	CCONJ
fis-4859	354	4	experimental	experimental	ADJ
fis-4859	354	5	study	study	NOUN
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fis-4859	354	7	failure	failure	NOUN
fis-4859	354	8	behavior	behavior	NOUN
fis-4859	354	9	of	of	ADP
fis-4859	354	10	thin	thin	ADJ
fis-4859	354	11	-	-	PUNCT
fis-4859	354	12	walled	walled	ADJ
fis-4859	354	13	shallow	shallow	ADJ
fis-4859	354	14	concrete	concrete	ADJ
fis-4859	354	15	domes	dome	NOUN
fis-4859	354	16	.	.	PUNCT
fis-4859	355	1	journal	journal	PROPN
fis-4859	355	2	of	of	ADP
fis-4859	355	3	structural	structural	ADJ
fis-4859	355	4	engineering	engineering	NOUN
fis-4859	355	5	,	,	PUNCT
fis-4859	355	6	137(1	137(1	NUM
fis-4859	355	7	)	)	PUNCT
fis-4859	355	8	,	,	PUNCT
fis-4859	355	9	pp	pp	PROPN
fis-4859	355	10	.	.	PUNCT
fis-4859	356	1	88	88	NUM
fis-4859	356	2	-	-	SYM
fis-4859	356	3	99	99	NUM
fis-4859	356	4	.	.	PUNCT
fis-4859	357	1	doi	doi	NOUN
fis-4859	357	2	:	:	PUNCT
fis-4859	357	3	10.1061/(asce)st.1943	10.1061/(asce)st.1943	NUM
fis-4859	357	4	-	-	SYM
fis-4859	357	5	541x.0000274	541x.0000274	NUM
fis-4859	357	6	.	.	PUNCT
fis-4859	358	1	[	[	X
fis-4859	358	2	12	12	NUM
fis-4859	358	3	]	]	X
fis-4859	358	4	kurilenko	kurilenko	NOUN
fis-4859	358	5	,	,	PUNCT
fis-4859	358	6	g.	g.	PROPN
fis-4859	358	7	a.	a.	PROPN
fis-4859	358	8	and	and	CCONJ
fis-4859	358	9	ayrapetyan	ayrapetyan	PROPN
fis-4859	358	10	,	,	PUNCT
fis-4859	358	11	v.	v.	ADP
fis-4859	358	12	s.	s.	PROPN
fis-4859	358	13	(	(	PUNCT
fis-4859	358	14	2016	2016	NUM
fis-4859	358	15	)	)	PUNCT
fis-4859	358	16	.	.	PUNCT
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fis-4859	359	2	of	of	ADP
fis-4859	359	3	the	the	DET
fis-4859	359	4	fracture	fracture	ADJ
fis-4859	359	5	toughness	toughness	NOUN
fis-4859	359	6	of	of	ADP
fis-4859	359	7	optomechanical	optomechanical	ADJ
fis-4859	359	8	devices	device	NOUN
fis-4859	359	9	.	.	PUNCT
fis-4859	360	1	optics	optic	NOUN
fis-4859	360	2	and	and	CCONJ
fis-4859	360	3	photonics	photonic	NOUN
fis-4859	360	4	journal	journal	NOUN
fis-4859	360	5	,	,	PUNCT
fis-4859	360	6	6(11	6(11	NUM
fis-4859	360	7	)	)	PUNCT
fis-4859	360	8	,	,	PUNCT
fis-4859	360	9	pp	pp	PROPN
fis-4859	360	10	.	.	PUNCT
fis-4859	361	1	298	298	NUM
fis-4859	361	2	-	-	SYM
fis-4859	361	3	304	304	NUM
fis-4859	361	4	.	.	PUNCT
fis-4859	361	5	doi	doi	NOUN
fis-4859	361	6	:	:	PUNCT
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fis-4859	361	8	/	/	SYM
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fis-4859	361	10	.	.	PUNCT
fis-4859	362	1	[	[	X
fis-4859	362	2	13	13	NUM
fis-4859	362	3	]	]	SYM
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fis-4859	362	5	,	,	PUNCT
fis-4859	362	6	b.	b.	PROPN
fis-4859	362	7	v.	v.	PROPN
fis-4859	362	8	,	,	PUNCT
fis-4859	362	9	tavares	tavare	NOUN
fis-4859	362	10	,	,	PUNCT
fis-4859	362	11	p.	p.	PROPN
fis-4859	362	12	j.	j.	PROPN
fis-4859	362	13	,	,	PUNCT
fis-4859	362	14	belinha	belinha	PROPN
fis-4859	362	15	,	,	PUNCT
fis-4859	362	16	j.	j.	PROPN
fis-4859	362	17	and	and	CCONJ
fis-4859	362	18	moreira	moreira	PROPN
fis-4859	362	19	,	,	PUNCT
fis-4859	362	20	p.	p.	NOUN
fis-4859	362	21	m.	m.	NOUN
fis-4859	363	1	g.	g.	PROPN
fis-4859	363	2	p.	p.	PROPN
fis-4859	363	3	(	(	PUNCT
fis-4859	363	4	2017	2017	NUM
fis-4859	363	5	)	)	PUNCT
fis-4859	363	6	.	.	PUNCT
fis-4859	364	1	a	a	DET
fis-4859	364	2	fracture	fracture	NOUN
fis-4859	364	3	mechanics	mechanic	NOUN
fis-4859	364	4	study	study	NOUN
fis-4859	364	5	of	of	ADP
fis-4859	364	6	a	a	DET
fis-4859	364	7	compact	compact	ADJ
fis-4859	364	8	tension	tension	NOUN
fis-4859	364	9	specimen	speciman	NOUN
fis-4859	364	10	:	:	PUNCT
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fis-4859	364	12	image	image	NOUN
fis-4859	364	13	correlation	correlation	NOUN
fis-4859	364	14	,	,	PUNCT
fis-4859	364	15	finite	finite	NOUN
fis-4859	364	16	element	element	NOUN
fis-4859	364	17	and	and	CCONJ
fis-4859	364	18	meshless	meshless	ADJ
fis-4859	364	19	methods	method	NOUN
fis-4859	364	20	.	.	PUNCT
fis-4859	365	1	procedia	procedia	PROPN
fis-4859	365	2	structural	structural	ADJ
fis-4859	365	3	integrity	integrity	NOUN
fis-4859	365	4	,	,	PUNCT
fis-4859	365	5	5	5	NUM
fis-4859	365	6	,	,	PUNCT
fis-4859	365	7	pp	pp	ADJ
fis-4859	365	8	.	.	PUNCT
fis-4859	366	1	920	920	NUM
fis-4859	366	2	-	-	SYM
fis-4859	366	3	927	927	NUM
fis-4859	366	4	.	.	PUNCT
fis-4859	367	1	doi	doi	NOUN
fis-4859	367	2	:	:	PUNCT
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fis-4859	367	4	/	/	SYM
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fis-4859	367	6	.	.	PUNCT
fis-4859	368	1	[	[	X
fis-4859	368	2	14	14	NUM
fis-4859	368	3	]	]	X
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fis-4859	368	5	,	,	PUNCT
fis-4859	368	6	c.	c.	PROPN
fis-4859	368	7	k.	k.	PROPN
fis-4859	368	8	,	,	PUNCT
fis-4859	368	9	basu	basu	PROPN
fis-4859	368	10	,	,	PUNCT
fis-4859	368	11	s.	s.	PROPN
fis-4859	368	12	and	and	CCONJ
fis-4859	368	13	parameswaran	parameswaran	NOUN
fis-4859	368	14	,	,	PUNCT
fis-4859	368	15	v.	v.	PROPN
fis-4859	368	16	(	(	PUNCT
fis-4859	368	17	2012	2012	NUM
fis-4859	368	18	)	)	PUNCT
fis-4859	368	19	.	.	PUNCT
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fis-4859	369	2	of	of	ADP
fis-4859	369	3	complex	complex	ADJ
fis-4859	369	4	stress	stress	NOUN
fis-4859	369	5	intensity	intensity	NOUN
fis-4859	369	6	factor	factor	NOUN
fis-4859	369	7	for	for	ADP
fis-4859	369	8	a	a	DET
fis-4859	369	9	crack	crack	NOUN
fis-4859	369	10	in	in	ADP
fis-4859	369	11	a	a	DET
fis-4859	369	12	bimaterial	bimaterial	ADJ
fis-4859	369	13	interface	interface	NOUN
fis-4859	369	14	using	use	VERB
fis-4859	369	15	digital	digital	ADJ
fis-4859	369	16	image	image	NOUN
fis-4859	369	17	correlation	correlation	NOUN
fis-4859	369	18	.	.	PUNCT
fis-4859	370	1	optics	optic	NOUN
fis-4859	370	2	and	and	CCONJ
fis-4859	370	3	lasers	laser	NOUN
fis-4859	370	4	in	in	ADP
fis-4859	370	5	engineering	engineering	NOUN
fis-4859	370	6	,	,	PUNCT
fis-4859	370	7	50(10	50(10	NUM
fis-4859	370	8	)	)	PUNCT
fis-4859	370	9	,	,	PUNCT
fis-4859	370	10	pp	pp	PROPN
fis-4859	370	11	.	.	PUNCT
fis-4859	370	12	1423	1423	NUM
fis-4859	370	13	-	-	SYM
fis-4859	370	14	1430	1430	NUM
fis-4859	370	15	.	.	PUNCT
fis-4859	371	1	doi	doi	NOUN
fis-4859	371	2	:	:	PUNCT
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fis-4859	371	4	/	/	SYM
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fis-4859	371	6	.	.	PUNCT
fis-4859	372	1	[	[	X
fis-4859	372	2	15	15	NUM
fis-4859	372	3	]	]	X
fis-4859	372	4	parnas	parnas	PROPN
fis-4859	372	5	,	,	PUNCT
fis-4859	372	6	l.	l.	PROPN
fis-4859	372	7	,	,	PUNCT
fis-4859	372	8	bilir	bilir	NOUN
fis-4859	372	9	,	,	PUNCT
fis-4859	372	10	ö.	ö.	PROPN
fis-4859	372	11	g.	g.	PROPN
fis-4859	372	12	and	and	CCONJ
fis-4859	372	13	tezcan	tezcan	PROPN
fis-4859	372	14	,	,	PUNCT
fis-4859	372	15	e.	e.	PROPN
fis-4859	372	16	(	(	PUNCT
fis-4859	372	17	1996	1996	NUM
fis-4859	372	18	)	)	PUNCT
fis-4859	372	19	.	.	PUNCT
fis-4859	373	1	strain	strain	NOUN
fis-4859	373	2	gage	gage	NOUN
fis-4859	373	3	methods	method	NOUN
fis-4859	373	4	for	for	ADP
fis-4859	373	5	measurement	measurement	NOUN
fis-4859	373	6	of	of	ADP
fis-4859	373	7	opening	opening	NOUN
fis-4859	373	8	mode	mode	NOUN
fis-4859	373	9	stress	stress	NOUN
fis-4859	373	10	intensity	intensity	NOUN
fis-4859	373	11	factor	factor	NOUN
fis-4859	373	12	.	.	PUNCT
fis-4859	374	1	engineering	engineering	NOUN
fis-4859	374	2	fracture	fracture	PROPN
fis-4859	374	3	mechanics	mechanic	NOUN
fis-4859	374	4	,	,	PUNCT
fis-4859	374	5	55(3	55(3	NUM
fis-4859	374	6	)	)	PUNCT
fis-4859	374	7	,	,	PUNCT
fis-4859	374	8	pp	pp	ADP
fis-4859	374	9	.	.	PUNCT
fis-4859	375	1	485	485	NUM
fis-4859	375	2	-	-	SYM
fis-4859	375	3	492	492	NUM
fis-4859	375	4	.	.	PUNCT
fis-4859	376	1	doi	doi	NOUN
fis-4859	376	2	:	:	PUNCT
fis-4859	376	3	10.1016/0013	10.1016/0013	NUM
fis-4859	376	4	-	-	SYM
fis-4859	376	5	7944(95)00214	7944(95)00214	NUM
fis-4859	376	6	-	-	SYM
fis-4859	376	7	6	6	NUM
fis-4859	376	8	.	.	PUNCT
fis-4859	377	1	[	[	X
fis-4859	377	2	16	16	NUM
fis-4859	377	3	]	]	X
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fis-4859	377	5	,	,	PUNCT
fis-4859	377	6	q.	q.	PROPN
fis-4859	377	7	,	,	PUNCT
fis-4859	377	8	hu	hu	PROPN
fis-4859	377	9	,	,	PUNCT
fis-4859	377	10	j.	j.	PROPN
fis-4859	377	11	and	and	CCONJ
fis-4859	377	12	yu	yu	PROPN
fis-4859	377	13	,	,	PUNCT
fis-4859	377	14	t.	t.	PROPN
fis-4859	377	15	(	(	PUNCT
fis-4859	377	16	2019	2019	NUM
fis-4859	377	17	)	)	PUNCT
fis-4859	377	18	.	.	PUNCT
fis-4859	378	1	electromagnetic	electromagnetic	ADJ
fis-4859	378	2	evaluation	evaluation	NOUN
fis-4859	378	3	of	of	ADP
fis-4859	378	4	brick	brick	NOUN
fis-4859	378	5	specimens	specimen	NOUN
fis-4859	378	6	using	use	VERB
fis-4859	378	7	synthetic	synthetic	ADJ
fis-4859	378	8	aperture	aperture	NOUN
fis-4859	378	9	radar	radar	NOUN
fis-4859	378	10	imaging	imaging	NOUN
fis-4859	378	11	.	.	PUNCT
fis-4859	379	1	ndt	ndt	PROPN
fis-4859	379	2	and	and	CCONJ
fis-4859	379	3	e	e	PROPN
fis-4859	379	4	international	international	PROPN
fis-4859	379	5	,	,	PUNCT
fis-4859	379	6	104	104	NUM
fis-4859	379	7	,	,	PUNCT
fis-4859	379	8	pp	pp	ADJ
fis-4859	379	9	.	.	PUNCT
fis-4859	380	1	98	98	NUM
fis-4859	380	2	-	-	SYM
fis-4859	380	3	107	107	NUM
fis-4859	380	4	.	.	PUNCT
fis-4859	381	1	doi	doi	NOUN
fis-4859	381	2	:	:	PUNCT
fis-4859	381	3	10.1016	10.1016	NUM
fis-4859	381	4	/	/	SYM
fis-4859	381	5	j.ndteint.2019.04.006	j.ndteint.2019.04.006	NOUN
fis-4859	381	6	.	.	PUNCT
fis-4859	382	1	[	[	X
fis-4859	382	2	17	17	NUM
fis-4859	382	3	]	]	X
fis-4859	382	4	liu	liu	PROPN
fis-4859	382	5	,	,	PUNCT
fis-4859	382	6	w.	w.	PROPN
fis-4859	382	7	and	and	CCONJ
fis-4859	382	8	zhang	zhang	PROPN
fis-4859	382	9	,	,	PUNCT
fis-4859	382	10	x.	x.	PROPN
fis-4859	382	11	(	(	PUNCT
fis-4859	382	12	2020	2020	NUM
fis-4859	382	13	)	)	PUNCT
fis-4859	382	14	.	.	PUNCT
fis-4859	383	1	an	an	DET
fis-4859	383	2	optical	optical	ADJ
fis-4859	383	3	method	method	NOUN
fis-4859	383	4	for	for	ADP
fis-4859	383	5	measuring	measure	VERB
fis-4859	383	6	mixed	mixed	ADJ
fis-4859	383	7	-	-	PUNCT
fis-4859	383	8	mode	mode	NOUN
fis-4859	383	9	stress	stress	NOUN
fis-4859	383	10	intensity	intensity	NOUN
fis-4859	383	11	factors	factor	NOUN
fis-4859	383	12	for	for	ADP
fis-4859	383	13	an	an	DET
fis-4859	383	14	arbitrarily	arbitrarily	ADV
fis-4859	383	15	oriented	orient	VERB
fis-4859	383	16	crack	crack	NOUN
fis-4859	383	17	in	in	ADP
fis-4859	383	18	cylindrical	cylindrical	ADJ
fis-4859	383	19	shells	shell	NOUN
fis-4859	383	20	.	.	PUNCT
fis-4859	384	1	theoretical	theoretical	ADJ
fis-4859	384	2	and	and	CCONJ
fis-4859	384	3	applied	apply	VERB
fis-4859	384	4	fracture	fracture	NOUN
fis-4859	384	5	mechanics	mechanic	NOUN
fis-4859	384	6	,	,	PUNCT
fis-4859	384	7	107	107	NUM
fis-4859	384	8	,	,	PUNCT
fis-4859	384	9	102567	102567	NUM
fis-4859	384	10	.	.	PUNCT
fis-4859	385	1	doi	doi	NOUN
fis-4859	385	2	:	:	PUNCT
fis-4859	385	3	10.1016	10.1016	NUM
fis-4859	385	4	/	/	SYM
fis-4859	385	5	j.tafmec.2020.102567	j.tafmec.2020.102567	NOUN
fis-4859	385	6	.	.	PUNCT
fis-4859	386	1	[	[	X
fis-4859	386	2	18	18	NUM
fis-4859	386	3	]	]	PUNCT
fis-4859	386	4	theocaris	theocaris	NOUN
fis-4859	386	5	,	,	PUNCT
fis-4859	386	6	p.	p.	NOUN
fis-4859	386	7	s.	s.	PROPN
fis-4859	386	8	and	and	CCONJ
fis-4859	386	9	thireos	thireos	PROPN
fis-4859	386	10	,	,	PUNCT
fis-4859	386	11	c.	c.	PROPN
fis-4859	386	12	g.	g.	PROPN
fis-4859	386	13	(	(	PUNCT
fis-4859	386	14	1976	1976	NUM
fis-4859	386	15	)	)	PUNCT
fis-4859	386	16	.	.	PUNCT
fis-4859	387	1	stress	stress	NOUN
fis-4859	387	2	intensity	intensity	NOUN
fis-4859	387	3	factors	factor	NOUN
fis-4859	387	4	in	in	ADP
fis-4859	387	5	cracked	crack	VERB
fis-4859	387	6	cylindrical	cylindrical	ADJ
fis-4859	387	7	shells	shell	NOUN
fis-4859	387	8	under	under	ADP
fis-4859	387	9	tension	tension	NOUN
fis-4859	387	10	.	.	PUNCT
fis-4859	388	1	international	international	ADJ
fis-4859	388	2	journal	journal	NOUN
fis-4859	388	3	of	of	ADP
fis-4859	388	4	fracture	fracture	NOUN
fis-4859	388	5	,	,	PUNCT
fis-4859	388	6	12	12	NUM
fis-4859	388	7	,	,	PUNCT
fis-4859	388	8	pp	pp	ADJ
fis-4859	388	9	.	.	PUNCT
fis-4859	389	1	691	691	NUM
fis-4859	389	2	-	-	SYM
fis-4859	389	3	703	703	NUM
fis-4859	389	4	.	.	PUNCT
fis-4859	390	1	doi	doi	NOUN
fis-4859	390	2	:	:	PUNCT
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fis-4859	390	4	/	/	SYM
fis-4859	390	5	bf00037916	bf00037916	NOUN
fis-4859	390	6	.	.	PUNCT
fis-4859	391	1	[	[	X
fis-4859	391	2	19	19	NUM
fis-4859	391	3	]	]	SYM
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fis-4859	391	5	,	,	PUNCT
fis-4859	391	6	x.	x.	PROPN
fis-4859	391	7	,	,	PUNCT
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fis-4859	391	9	,	,	PUNCT
fis-4859	391	10	j.	j.	PROPN
fis-4859	391	11	,	,	PUNCT
fis-4859	391	12	jin	jin	PROPN
fis-4859	391	13	,	,	PUNCT
fis-4859	391	14	g.	g.	PROPN
fis-4859	391	15	,	,	PUNCT
fis-4859	391	16	arakawa	arakawa	PROPN
fis-4859	391	17	,	,	PUNCT
fis-4859	391	18	k.	k.	PROPN
fis-4859	391	19	and	and	CCONJ
fis-4859	391	20	takahashi	takahashi	PROPN
fis-4859	391	21	,	,	PUNCT
fis-4859	391	22	k.	k.	PROPN
fis-4859	391	23	(	(	PUNCT
fis-4859	391	24	2004	2004	NUM
fis-4859	391	25	)	)	PUNCT
fis-4859	391	26	.	.	PUNCT
fis-4859	392	1	caustic	caustic	ADJ
fis-4859	392	2	analysis	analysis	NOUN
fis-4859	392	3	of	of	ADP
fis-4859	392	4	stress	stress	NOUN
fis-4859	392	5	singularities	singularity	NOUN
fis-4859	392	6	in	in	ADP
fis-4859	392	7	orthotropic	orthotropic	ADJ
fis-4859	392	8	composite	composite	ADJ
fis-4859	392	9	materials	material	NOUN
fis-4859	392	10	with	with	ADP
fis-4859	392	11	mode	mode	NOUN
fis-4859	392	12	-	-	PUNCT
fis-4859	392	13	i	i	PRON
fis-4859	392	14	crack	crack	VERB
fis-4859	392	15	.	.	PUNCT
fis-4859	393	1	composites	composite	VERB
fis-4859	393	2	science	science	NOUN
fis-4859	393	3	and	and	CCONJ
fis-4859	393	4	technology	technology	NOUN
fis-4859	393	5	,	,	PUNCT
fis-4859	393	6	64(7	64(7	NOUN
fis-4859	393	7	-	-	PUNCT
fis-4859	393	8	8)	8)	NUM
fis-4859	393	9	,	,	PUNCT
fis-4859	393	10	pp	pp	ADJ
fis-4859	393	11	.	.	PUNCT
fis-4859	394	1	917	917	NUM
fis-4859	394	2	-	-	SYM
fis-4859	394	3	924	924	NUM
fis-4859	394	4	.	.	PUNCT
fis-4859	394	5	doi	doi	NOUN
fis-4859	394	6	:	:	PUNCT
fis-4859	394	7	10.1016	10.1016	NUM
fis-4859	394	8	/	/	SYM
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fis-4859	394	10	-	-	PUNCT
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fis-4859	394	12	-	-	SYM
fis-4859	394	13	9	9	NUM
fis-4859	394	14	.	.	PUNCT
fis-4859	395	1	[	[	X
fis-4859	395	2	20	20	NUM
fis-4859	395	3	]	]	PUNCT
fis-4859	395	4	theocaris	theocaris	NOUN
fis-4859	395	5	,	,	PUNCT
fis-4859	395	6	p.	p.	PROPN
fis-4859	395	7	s.	s.	PROPN
fis-4859	395	8	and	and	CCONJ
fis-4859	395	9	papadopoulos	papadopoulos	PROPN
fis-4859	395	10	,	,	PUNCT
fis-4859	395	11	g.	g.	PROPN
fis-4859	395	12	a.	a.	PROPN
fis-4859	395	13	(	(	PUNCT
fis-4859	395	14	1980	1980	NUM
fis-4859	395	15	)	)	PUNCT
fis-4859	395	16	.	.	PUNCT
fis-4859	396	1	elastodynamic	elastodynamic	ADJ
fis-4859	396	2	forms	form	NOUN
fis-4859	396	3	of	of	ADP
fis-4859	396	4	caustics	caustic	NOUN
fis-4859	396	5	for	for	ADP
fis-4859	396	6	running	run	VERB
fis-4859	396	7	cracks	crack	NOUN
fis-4859	396	8	under	under	ADP
fis-4859	396	9	constant	constant	ADJ
fis-4859	396	10	velocity	velocity	NOUN
fis-4859	396	11	.	.	PUNCT
fis-4859	397	1	engineering	engineering	NOUN
fis-4859	397	2	fracture	fracture	NOUN
fis-4859	397	3	mechanics	mechanic	NOUN
fis-4859	397	4	,	,	PUNCT
fis-4859	397	5	13(4	13(4	NUM
fis-4859	397	6	)	)	PUNCT
fis-4859	397	7	,	,	PUNCT
fis-4859	397	8	pp	pp	ADJ
fis-4859	397	9	.	.	PUNCT
fis-4859	398	1	683	683	NUM
fis-4859	398	2	-	-	SYM
fis-4859	398	3	698	698	NUM
fis-4859	398	4	.	.	PUNCT
fis-4859	399	1	doi	doi	NOUN
fis-4859	399	2	:	:	PUNCT
fis-4859	399	3	10.1016/0013	10.1016/0013	NUM
fis-4859	399	4	-	-	PUNCT
fis-4859	399	5	7944(80)90001	7944(80)90001	NUM
fis-4859	399	6	-	-	SYM
fis-4859	399	7	6	6	NUM
fis-4859	399	8	.	.	PUNCT
fis-4859	400	1	[	[	X
fis-4859	400	2	21	21	NUM
fis-4859	400	3	]	]	X
fis-4859	400	4	takahashi	takahashi	PROPN
fis-4859	400	5	,	,	PUNCT
fis-4859	400	6	k.	k.	PROPN
fis-4859	400	7	and	and	CCONJ
fis-4859	400	8	arakawa	arakawa	PROPN
fis-4859	400	9	,	,	PUNCT
fis-4859	400	10	k.	k.	PROPN
fis-4859	400	11	(	(	PUNCT
fis-4859	400	12	1987	1987	NUM
fis-4859	400	13	)	)	PUNCT
fis-4859	400	14	.	.	PUNCT
fis-4859	401	1	dependence	dependence	NOUN
fis-4859	401	2	of	of	ADP
fis-4859	401	3	crack	crack	NOUN
fis-4859	401	4	acceleration	acceleration	NOUN
fis-4859	401	5	on	on	ADP
fis-4859	401	6	the	the	DET
fis-4859	401	7	dynamic	dynamic	ADJ
fis-4859	401	8	stress	stress	NOUN
fis-4859	401	9	-	-	PUNCT
fis-4859	401	10	intensity	intensity	NOUN
fis-4859	401	11	factor	factor	NOUN
fis-4859	401	12	in	in	ADP
fis-4859	401	13	polymers	polymer	NOUN
fis-4859	401	14	.	.	PUNCT
fis-4859	402	1	experimental	experimental	ADJ
fis-4859	402	2	mechanics	mechanic	NOUN
fis-4859	402	3	,	,	PUNCT
fis-4859	402	4	27	27	NUM
fis-4859	402	5	,	,	PUNCT
fis-4859	402	6	pp	pp	ADJ
fis-4859	402	7	.	.	PUNCT
fis-4859	403	1	195	195	NUM
fis-4859	403	2	-	-	SYM
fis-4859	403	3	199	199	NUM
fis-4859	403	4	.	.	PUNCT
fis-4859	404	1	doi	doi	NOUN
fis-4859	404	2	:	:	PUNCT
fis-4859	404	3	10.1007	10.1007	NUM
fis-4859	404	4	/	/	SYM
fis-4859	404	5	bf02319474	bf02319474	PROPN
fis-4859	404	6	.	.	PUNCT
fis-4859	405	1	[	[	X
fis-4859	405	2	22	22	NUM
fis-4859	405	3	]	]	X
fis-4859	405	4	rosakis	rosaki	NOUN
fis-4859	405	5	,	,	PUNCT
fis-4859	405	6	a.	a.	NOUN
fis-4859	405	7	j.	j.	PROPN
fis-4859	405	8	(	(	PUNCT
fis-4859	405	9	1980	1980	NUM
fis-4859	405	10	)	)	PUNCT
fis-4859	405	11	.	.	PUNCT
fis-4859	406	1	analysis	analysis	NOUN
fis-4859	406	2	of	of	ADP
fis-4859	406	3	the	the	DET
fis-4859	406	4	optical	optical	ADJ
fis-4859	406	5	method	method	NOUN
fis-4859	406	6	of	of	ADP
fis-4859	406	7	caustics	caustic	NOUN
fis-4859	406	8	for	for	ADP
fis-4859	406	9	dynamic	dynamic	ADJ
fis-4859	406	10	crack	crack	NOUN
fis-4859	406	11	propagation	propagation	NOUN
fis-4859	406	12	.	.	PUNCT
fis-4859	407	1	engineering	engineering	NOUN
fis-4859	407	2	fracture	fracture	NOUN
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fis-4859	407	4	,	,	PUNCT
fis-4859	407	5	13(2	13(2	NOUN
fis-4859	407	6	)	)	PUNCT
fis-4859	407	7	,	,	PUNCT
fis-4859	408	1	pp	pp	PROPN
fis-4859	408	2	.	.	PUNCT
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fis-4859	409	2	-	-	SYM
fis-4859	409	3	347	347	NUM
fis-4859	409	4	.	.	PUNCT
fis-4859	410	1	doi	doi	NOUN
fis-4859	410	2	:	:	PUNCT
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fis-4859	410	4	-	-	ADJ
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fis-4859	410	6	-	-	SYM
fis-4859	410	7	6	6	NUM
fis-4859	411	1	[	[	SYM
fis-4859	411	2	23	23	NUM
fis-4859	411	3	]	]	X
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fis-4859	411	5	,	,	PUNCT
fis-4859	411	6	m.	m.	PROPN
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fis-4859	411	8	,	,	PUNCT
fis-4859	411	9	ramesh	ramesh	PROPN
fis-4859	411	10	,	,	PUNCT
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fis-4859	411	14	,	,	PUNCT
fis-4859	411	15	a.	a.	NOUN
fis-4859	411	16	(	(	PUNCT
fis-4859	411	17	2018	2018	NUM
fis-4859	411	18	)	)	PUNCT
fis-4859	411	19	.	.	PUNCT
fis-4859	412	1	evaluation	evaluation	NOUN
fis-4859	412	2	of	of	ADP
fis-4859	412	3	mode	mode	NOUN
fis-4859	412	4	-	-	PUNCT
fis-4859	412	5	i	i	PRON
fis-4859	412	6	sif	sif	PROPN
fis-4859	412	7	,	,	PUNCT
fis-4859	412	8	t	t	NOUN
fis-4859	412	9	-	-	PUNCT
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fis-4859	412	11	and	and	CCONJ
fis-4859	412	12	j	j	NOUN
fis-4859	412	13	-	-	ADJ
fis-4859	412	14	integral	integral	ADJ
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fis-4859	412	16	displacement	displacement	ADJ
fis-4859	412	17	data	datum	NOUN
fis-4859	412	18	from	from	ADP
fis-4859	412	19	digital	digital	ADJ
fis-4859	412	20	image	image	NOUN
fis-4859	412	21	correlation	correlation	NOUN
fis-4859	412	22	–	–	PUNCT
fis-4859	412	23	revisited	revisit	VERB
fis-4859	412	24	.	.	PUNCT
fis-4859	413	1	theoretical	theoretical	ADJ
fis-4859	413	2	and	and	CCONJ
fis-4859	413	3	applied	apply	VERB
fis-4859	413	4	fracture	fracture	NOUN
fis-4859	413	5	mechanics	mechanic	NOUN
fis-4859	413	6	,	,	PUNCT
fis-4859	413	7	96	96	NUM
fis-4859	413	8	,	,	PUNCT
fis-4859	413	9	pp	pp	ADJ
fis-4859	413	10	.	.	PUNCT
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fis-4859	414	2	.	.	PUNCT
fis-4859	415	1	doi	doi	NOUN
fis-4859	415	2	:	:	PUNCT
fis-4859	415	3	10.1016	10.1016	NUM
fis-4859	415	4	/	/	SYM
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fis-4859	415	6	.	.	PUNCT
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fis-4859	416	2	24	24	NUM
fis-4859	416	3	]	]	SYM
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fis-4859	416	5	,	,	PUNCT
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fis-4859	416	10	,	,	PUNCT
fis-4859	416	11	m.	m.	NOUN
fis-4859	416	12	,	,	PUNCT
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fis-4859	416	14	,	,	PUNCT
fis-4859	416	15	a.	a.	PROPN
fis-4859	416	16	f.	f.	PROPN
fis-4859	416	17	,	,	PUNCT
fis-4859	416	18	hollis	hollis	PROPN
fis-4859	416	19	,	,	PUNCT
fis-4859	416	20	d.	d.	PROPN
fis-4859	416	21	and	and	CCONJ
fis-4859	416	22	marrow	marrow	PROPN
fis-4859	416	23	,	,	PUNCT
fis-4859	416	24	t.	t.	PROPN
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fis-4859	416	27	2017	2017	NUM
fis-4859	416	28	)	)	PUNCT
fis-4859	416	29	.	.	PUNCT
fis-4859	417	1	j	j	X
fis-4859	417	2	-	-	ADJ
fis-4859	417	3	integral	integral	ADJ
fis-4859	417	4	calculation	calculation	NOUN
fis-4859	417	5	by	by	ADP
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fis-4859	417	12	-	-	PUNCT
fis-4859	417	13	field	field	NOUN
fis-4859	417	14	surface	surface	NOUN
fis-4859	417	15	displacements	displacement	NOUN
fis-4859	417	16	.	.	PUNCT
fis-4859	418	1	experimental	experimental	ADJ
fis-4859	418	2	mechanics	mechanic	NOUN
fis-4859	418	3	,	,	PUNCT
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fis-4859	418	5	,	,	PUNCT
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fis-4859	418	7	.	.	PUNCT
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fis-4859	419	2	-	-	SYM
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fis-4859	419	4	.	.	PUNCT
fis-4859	420	1	doi	doi	NOUN
fis-4859	420	2	:	:	PUNCT
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fis-4859	420	4	/	/	SYM
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fis-4859	420	6	-	-	PUNCT
fis-4859	420	7	017	017	NUM
fis-4859	420	8	-	-	PUNCT
fis-4859	420	9	0275	0275	NUM
fis-4859	420	10	-	-	SYM
fis-4859	420	11	1	1	NUM
fis-4859	420	12	.	.	PUNCT
fis-4859	421	1	[	[	X
fis-4859	421	2	25	25	NUM
fis-4859	421	3	]	]	PUNCT
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fis-4859	421	5	,	,	PUNCT
fis-4859	421	6	g.	g.	PROPN
fis-4859	421	7	l.	l.	PROPN
fis-4859	421	8	,	,	PUNCT
fis-4859	421	9	gonzález	gonzález	PROPN
fis-4859	421	10	,	,	PUNCT
fis-4859	421	11	j.	j.	PROPN
fis-4859	421	12	a.	a.	PROPN
fis-4859	421	13	,	,	PUNCT
fis-4859	421	14	castro	castro	PROPN
fis-4859	421	15	,	,	PUNCT
fis-4859	421	16	j.	j.	PROPN
fis-4859	421	17	t.	t.	PROPN
fis-4859	421	18	and	and	CCONJ
fis-4859	421	19	freire	freire	PROPN
fis-4859	421	20	,	,	PUNCT
fis-4859	421	21	j.	j.	PROPN
fis-4859	421	22	l.	l.	PROPN
fis-4859	421	23	(	(	PUNCT
fis-4859	421	24	2017	2017	NUM
fis-4859	421	25	)	)	PUNCT
fis-4859	421	26	.	.	PUNCT
fis-4859	422	1	a	a	DET
fis-4859	422	2	j	j	NOUN
fis-4859	422	3	-	-	ADJ
fis-4859	422	4	integral	integral	ADJ
fis-4859	422	5	approach	approach	NOUN
fis-4859	422	6	using	use	VERB
fis-4859	422	7	digital	digital	ADJ
fis-4859	422	8	image	image	NOUN
fis-4859	422	9	correlation	correlation	NOUN
fis-4859	422	10	for	for	ADP
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fis-4859	422	12	stress	stress	NOUN
fis-4859	422	13	intensity	intensity	NOUN
fis-4859	422	14	factors	factor	NOUN
fis-4859	422	15	in	in	ADP
fis-4859	422	16	fatigue	fatigue	NOUN
fis-4859	422	17	cracks	crack	NOUN
fis-4859	422	18	with	with	ADP
fis-4859	422	19	closure	closure	NOUN
fis-4859	422	20	effects	effect	NOUN
fis-4859	422	21	.	.	PUNCT
fis-4859	423	1	theoretical	theoretical	ADJ
fis-4859	423	2	and	and	CCONJ
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fis-4859	423	4	fracture	fracture	NOUN
fis-4859	423	5	mechanics	mechanic	NOUN
fis-4859	423	6	,	,	PUNCT
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fis-4859	423	8	,	,	PUNCT
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fis-4859	423	10	.	.	PUNCT
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fis-4859	424	2	-	-	SYM
fis-4859	424	3	21	21	NUM
fis-4859	424	4	.	.	PUNCT
fis-4859	425	1	doi	doi	NOUN
fis-4859	425	2	:	:	PUNCT
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fis-4859	425	4	/	/	SYM
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fis-4859	425	6	.	.	PUNCT
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fis-4859	426	3	]	]	X
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fis-4859	426	5	ml	ml	PROPN
fis-4859	426	6	.	.	PUNCT
fis-4859	427	1	(	(	PUNCT
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fis-4859	427	3	)	)	PUNCT
fis-4859	427	4	.	.	PUNCT
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fis-4859	428	2	the	the	DET
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fis-4859	428	4	distribution	distribution	NOUN
fis-4859	428	5	at	at	ADP
fis-4859	428	6	the	the	DET
fis-4859	428	7	base	base	NOUN
fis-4859	428	8	of	of	ADP
fis-4859	428	9	a	a	DET
fis-4859	428	10	stationary	stationary	ADJ
fis-4859	428	11	crack	crack	NOUN
fis-4859	428	12	.	.	PUNCT
fis-4859	429	1	journal	journal	NOUN
fis-4859	429	2	of	of	ADP
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fis-4859	429	5	)	)	PUNCT
fis-4859	429	6	,	,	PUNCT
fis-4859	429	7	pp	pp	PROPN
fis-4859	429	8	.	.	PUNCT
fis-4859	430	1	109	109	NUM
fis-4859	430	2	-	-	SYM
fis-4859	430	3	114	114	NUM
fis-4859	430	4	.	.	PUNCT
fis-4859	431	1	doi	doi	NOUN
fis-4859	431	2	:	:	PUNCT
fis-4859	431	3	10.1115/1.4011454	10.1115/1.4011454	NUM
fis-4859	431	4	.	.	PUNCT
fis-4859	432	1	[	[	X
fis-4859	432	2	27	27	NUM
fis-4859	432	3	]	]	PUNCT
fis-4859	432	4	roux	roux	NOUN
fis-4859	432	5	,	,	PUNCT
fis-4859	432	6	s.	s.	PROPN
fis-4859	432	7	,	,	PUNCT
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fis-4859	432	9	,	,	PUNCT
fis-4859	432	10	j.	j.	PROPN
fis-4859	432	11	and	and	CCONJ
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fis-4859	432	14	f.	f.	PROPN
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fis-4859	432	16	2009	2009	NUM
fis-4859	432	17	)	)	PUNCT
fis-4859	432	18	.	.	PUNCT
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fis-4859	433	2	image	image	NOUN
fis-4859	433	3	correlation	correlation	NOUN
fis-4859	433	4	and	and	CCONJ
fis-4859	433	5	fracture	fracture	NOUN
fis-4859	433	6	:	:	PUNCT
fis-4859	433	7	an	an	DET
fis-4859	433	8	advanced	advanced	ADJ
fis-4859	433	9	technique	technique	NOUN
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fis-4859	433	11	estimating	estimate	VERB
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fis-4859	433	13	intensity	intensity	NOUN
fis-4859	433	14	factors	factor	NOUN
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fis-4859	433	16	2d	2d	NUM
fis-4859	433	17	and	and	CCONJ
fis-4859	433	18	3d	3d	NUM
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fis-4859	433	20	.	.	PUNCT
fis-4859	434	1	journal	journal	PROPN
fis-4859	434	2	of	of	ADP
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fis-4859	435	1	d	d	PROPN
fis-4859	435	2	:	:	PUNCT
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fis-4859	435	5	,	,	PUNCT
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fis-4859	435	7	)	)	PUNCT
fis-4859	435	8	,	,	PUNCT
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fis-4859	435	10	.	.	PUNCT
fis-4859	436	1	doi:10.1088/0022	doi:10.1088/0022	NOUN
fis-4859	436	2	-	-	PUNCT
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fis-4859	436	4	.	.	PUNCT
fis-4859	437	1	s.	s.	PROPN
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fis-4859	437	5	,	,	PUNCT
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fis-4859	437	10	,	,	PUNCT
fis-4859	437	11	69	69	NUM
fis-4859	437	12	(	(	PUNCT
fis-4859	437	13	2024	2024	NUM
fis-4859	437	14	)	)	PUNCT
fis-4859	437	15	1	1	NUM
fis-4859	437	16	-	-	SYM
fis-4859	437	17	17	17	NUM
fis-4859	437	18	;	;	PUNCT
fis-4859	437	19	doi	doi	NOUN
fis-4859	437	20	:	:	PUNCT
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fis-4859	437	22	/	/	SYM
fis-4859	437	23	igf	igf	PROPN
fis-4859	437	24	-	-	PUNCT
fis-4859	437	25	esis.69.01	esis.69.01	NOUN
fis-4859	437	26	16	16	NUM
fis-4859	438	1	[	[	X
fis-4859	438	2	28	28	NUM
fis-4859	438	3	]	]	X
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fis-4859	438	5	,	,	PUNCT
fis-4859	438	6	r.	r.	PROPN
fis-4859	438	7	,	,	PUNCT
fis-4859	438	8	hild	hild	NOUN
fis-4859	438	9	,	,	PUNCT
fis-4859	438	10	f.	f.	PROPN
fis-4859	438	11	and	and	CCONJ
fis-4859	438	12	roux	roux	NOUN
fis-4859	438	13	,	,	PUNCT
fis-4859	438	14	s.	s.	PROPN
fis-4859	438	15	(	(	PUNCT
fis-4859	438	16	2007	2007	NUM
fis-4859	438	17	)	)	PUNCT
fis-4859	438	18	.	.	PUNCT
fis-4859	439	1	stress	stress	NOUN
fis-4859	439	2	intensity	intensity	NOUN
fis-4859	439	3	factor	factor	NOUN
fis-4859	439	4	gauging	gauge	VERB
fis-4859	439	5	by	by	ADP
fis-4859	439	6	digital	digital	ADJ
fis-4859	439	7	image	image	NOUN
fis-4859	439	8	correlation	correlation	NOUN
fis-4859	439	9	:	:	PUNCT
fis-4859	439	10	application	application	NOUN
fis-4859	439	11	in	in	ADP
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fis-4859	439	14	.	.	PUNCT
fis-4859	440	1	strain	strain	NOUN
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fis-4859	440	3	43(3	43(3	NUM
fis-4859	440	4	)	)	PUNCT
fis-4859	440	5	,	,	PUNCT
fis-4859	440	6	pp	pp	ADJ
fis-4859	440	7	.	.	PUNCT
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fis-4859	441	2	-	-	SYM
fis-4859	441	3	192	192	NUM
fis-4859	441	4	.	.	PUNCT
fis-4859	442	1	doi	doi	NOUN
fis-4859	442	2	:	:	PUNCT
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fis-4859	443	8	and	and	CCONJ
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fis-4859	443	13	1995	1995	NUM
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fis-4859	444	11	.	.	PUNCT
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fis-4859	445	7	,	,	PUNCT
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fis-4859	445	9	.	.	PUNCT
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fis-4859	446	2	-	-	SYM
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fis-4859	446	4	.	.	PUNCT
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fis-4859	447	4	/	/	SYM
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fis-4859	448	1	[	[	X
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fis-4859	448	3	]	]	PUNCT
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fis-4859	448	5	,	,	PUNCT
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fis-4859	448	13	)	)	PUNCT
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fis-4859	449	16	.	.	PUNCT
fis-4859	450	1	international	international	ADJ
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fis-4859	450	3	of	of	ADP
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fis-4859	450	5	,	,	PUNCT
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fis-4859	450	7	,	,	PUNCT
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fis-4859	450	9	.	.	PUNCT
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fis-4859	451	2	-	-	SYM
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fis-4859	451	4	.	.	PUNCT
fis-4859	451	5	doi	doi	NOUN
fis-4859	451	6	:	:	PUNCT
fis-4859	451	7	10.1007	10.1007	NUM
fis-4859	451	8	/	/	SYM
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fis-4859	451	10	-	-	PUNCT
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fis-4859	451	12	-	-	PUNCT
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fis-4859	451	14	-	-	PUNCT
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fis-4859	451	16	.	.	PUNCT
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fis-4859	452	3	]	]	SYM
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fis-4859	452	5	,	,	PUNCT
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fis-4859	452	7	,	,	PUNCT
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fis-4859	452	9	,	,	PUNCT
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fis-4859	452	11	,	,	PUNCT
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fis-4859	452	13	,	,	PUNCT
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fis-4859	452	17	,	,	PUNCT
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fis-4859	452	19	(	(	PUNCT
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fis-4859	452	21	)	)	PUNCT
fis-4859	452	22	.	.	PUNCT
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fis-4859	453	2	-	-	PUNCT
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fis-4859	453	12	image	image	NOUN
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fis-4859	453	14	.	.	PUNCT
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fis-4859	454	2	,	,	PUNCT
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fis-4859	454	4	,	,	PUNCT
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fis-4859	454	6	.	.	PUNCT
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fis-4859	455	2	-	-	SYM
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fis-4859	455	4	.	.	PUNCT
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fis-4859	456	2	:	:	PUNCT
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fis-4859	456	4	/	/	SYM
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fis-4859	456	6	.	.	PUNCT
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fis-4859	457	3	]	]	PUNCT
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fis-4859	457	5	-	-	PUNCT
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fis-4859	457	36	)	)	PUNCT
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fis-4859	458	5	-	-	ADJ
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fis-4859	458	18	.	.	PUNCT
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fis-4859	460	2	-	-	SYM
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fis-4859	460	4	.	.	PUNCT
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fis-4859	461	2	:	:	PUNCT
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fis-4859	461	4	/	/	SYM
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fis-4859	462	3	]	]	PUNCT
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fis-4859	462	10	s.	s.	PROPN
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fis-4859	462	12	hild	hild	PROPN
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fis-4859	462	17	)	)	PUNCT
fis-4859	462	18	.	.	PUNCT
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fis-4859	463	8	(	(	PUNCT
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fis-4859	463	10	):	):	PUNCT
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fis-4859	463	18	.	.	PUNCT
fis-4859	464	1	international	international	ADJ
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fis-4859	464	9	81(3	81(3	NUM
fis-4859	464	10	)	)	PUNCT
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fis-4859	464	13	.	.	PUNCT
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fis-4859	465	4	/	/	SYM
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fis-4859	465	6	.	.	PUNCT
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fis-4859	466	3	]	]	SYM
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fis-4859	466	9	-	-	PUNCT
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fis-4859	466	21	,	,	PUNCT
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fis-4859	466	29	)	)	PUNCT
fis-4859	466	30	.	.	PUNCT
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fis-4859	467	11	.	.	PUNCT
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fis-4859	468	5	,	,	PUNCT
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fis-4859	469	2	-	-	SYM
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fis-4859	469	4	.	.	PUNCT
fis-4859	470	1	doi	doi	NOUN
fis-4859	470	2	:	:	PUNCT
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fis-4859	470	4	/	/	SYM
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fis-4859	470	7	.	.	PUNCT
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fis-4859	471	3	]	]	SYM
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fis-4859	471	26	(	(	PUNCT
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fis-4859	471	28	)	)	PUNCT
fis-4859	471	29	.	.	PUNCT
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fis-4859	472	20	.	.	PUNCT
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fis-4859	474	2	-	-	SYM
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fis-4859	474	4	.	.	PUNCT
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fis-4859	476	9	,	,	PUNCT
fis-4859	476	10	j.	j.	PROPN
fis-4859	476	11	m.	m.	PROPN
fis-4859	476	12	,	,	PUNCT
fis-4859	476	13	james	james	PROPN
fis-4859	476	14	,	,	PUNCT
fis-4859	476	15	m.	m.	NOUN
fis-4859	476	16	n.	n.	PROPN
fis-4859	476	17	and	and	CCONJ
fis-4859	476	18	diaz	diaz	PROPN
fis-4859	476	19	,	,	PUNCT
fis-4859	476	20	f.	f.	PROPN
fis-4859	476	21	a.	a.	PROPN
fis-4859	476	22	(	(	PUNCT
fis-4859	476	23	2022	2022	NUM
fis-4859	476	24	)	)	PUNCT
fis-4859	476	25	.	.	PUNCT
fis-4859	477	1	characterization	characterization	NOUN
fis-4859	477	2	of	of	ADP
fis-4859	477	3	non‐planar	non‐planar	DET
fis-4859	477	4	crack	crack	NOUN
fis-4859	477	5	tip	tip	NOUN
fis-4859	477	6	displacement	displacement	NOUN
fis-4859	477	7	fields	field	NOUN
fis-4859	477	8	using	use	VERB
fis-4859	477	9	a	a	DET
fis-4859	477	10	differential	differential	ADJ
fis-4859	477	11	geometry	geometry	NOUN
fis-4859	477	12	approach	approach	NOUN
fis-4859	477	13	in	in	ADP
fis-4859	477	14	combination	combination	NOUN
fis-4859	477	15	with	with	ADP
fis-4859	477	16	3d	3d	PROPN
fis-4859	477	17	digital	digital	ADJ
fis-4859	477	18	image	image	NOUN
fis-4859	477	19	correlation	correlation	NOUN
fis-4859	477	20	.	.	PUNCT
fis-4859	478	1	fatigue	fatigue	NOUN
fis-4859	478	2	and	and	CCONJ
fis-4859	478	3	fracture	fracture	NOUN
fis-4859	478	4	of	of	ADP
fis-4859	478	5	engineering	engineering	NOUN
fis-4859	478	6	materials	material	NOUN
fis-4859	478	7	and	and	CCONJ
fis-4859	478	8	structures	structure	NOUN
fis-4859	478	9	,	,	PUNCT
fis-4859	478	10	45(5	45(5	NOUN
fis-4859	478	11	)	)	PUNCT
fis-4859	478	12	,	,	PUNCT
fis-4859	478	13	pp	pp	ADJ
fis-4859	478	14	.	.	PUNCT
fis-4859	479	1	1521	1521	NUM
fis-4859	479	2	-	-	SYM
fis-4859	479	3	1536	1536	NUM
fis-4859	479	4	.	.	PUNCT
fis-4859	480	1	doi	doi	NOUN
fis-4859	480	2	:	:	PUNCT
fis-4859	480	3	10.1111	10.1111	NUM
fis-4859	480	4	/	/	SYM
fis-4859	480	5	ffe.13686	ffe.13686	X
fis-4859	480	6	.	.	PUNCT
fis-4859	481	1	[	[	X
fis-4859	481	2	37	37	NUM
fis-4859	481	3	]	]	X
fis-4859	481	4	howell	howell	PROPN
fis-4859	481	5	,	,	PUNCT
fis-4859	481	6	p.	p.	PROPN
fis-4859	481	7	,	,	PUNCT
fis-4859	481	8	kozyreff	kozyreff	PROPN
fis-4859	481	9	,	,	PUNCT
fis-4859	481	10	g.	g.	PROPN
fis-4859	481	11	and	and	CCONJ
fis-4859	481	12	ockendon	ockendon	PROPN
fis-4859	481	13	,	,	PUNCT
fis-4859	481	14	j.	j.	PROPN
fis-4859	481	15	(	(	PUNCT
fis-4859	481	16	2009	2009	NUM
fis-4859	481	17	)	)	PUNCT
fis-4859	481	18	.	.	PUNCT
fis-4859	481	19	applied	apply	VERB
fis-4859	481	20	solid	solid	ADJ
fis-4859	481	21	mechanics	mechanic	NOUN
fis-4859	481	22	,	,	PUNCT
fis-4859	481	23	43	43	NUM
fis-4859	481	24	.	.	PUNCT
fis-4859	482	1	cambridge	cambridge	PROPN
fis-4859	482	2	university	university	PROPN
fis-4859	482	3	press	press	NOUN
fis-4859	482	4	.	.	PUNCT
fis-4859	483	1	[	[	X
fis-4859	483	2	38	38	NUM
fis-4859	483	3	]	]	PUNCT
fis-4859	483	4	forman	forman	PROPN
fis-4859	483	5	,	,	PUNCT
fis-4859	483	6	r.	r.	PROPN
fis-4859	483	7	g.	g.	PROPN
fis-4859	483	8	,	,	PUNCT
fis-4859	483	9	hickman	hickman	PROPN
fis-4859	483	10	,	,	PUNCT
fis-4859	483	11	j.	j.	PROPN
fis-4859	483	12	c.	c.	PROPN
fis-4859	483	13	and	and	CCONJ
fis-4859	483	14	shivaskumar	shivaskumar	PROPN
fis-4859	483	15	,	,	PUNCT
fis-4859	483	16	v.	v.	PROPN
fis-4859	483	17	(	(	PUNCT
fis-4859	483	18	1985	1985	NUM
fis-4859	483	19	)	)	PUNCT
fis-4859	483	20	.	.	PUNCT
fis-4859	484	1	stress	stress	NOUN
fis-4859	484	2	intensity	intensity	NOUN
fis-4859	484	3	factors	factor	NOUN
fis-4859	484	4	for	for	ADP
fis-4859	484	5	circumferential	circumferential	ADJ
fis-4859	484	6	through	through	ADP
fis-4859	484	7	cracks	crack	NOUN
fis-4859	484	8	in	in	ADP
fis-4859	484	9	hollow	hollow	ADJ
fis-4859	484	10	cylinders	cylinder	NOUN
fis-4859	484	11	subjected	subject	VERB
fis-4859	484	12	to	to	ADP
fis-4859	484	13	combined	combine	VERB
fis-4859	484	14	tension	tension	NOUN
fis-4859	484	15	and	and	CCONJ
fis-4859	484	16	bending	bend	VERB
fis-4859	484	17	loads	load	NOUN
fis-4859	484	18	.	.	PUNCT
fis-4859	485	1	engineering	engineering	NOUN
fis-4859	485	2	fracture	fracture	NOUN
fis-4859	485	3	mechanics	mechanic	NOUN
fis-4859	485	4	,	,	PUNCT
fis-4859	485	5	21(3	21(3	NUM
fis-4859	485	6	)	)	PUNCT
fis-4859	485	7	,	,	PUNCT
fis-4859	486	1	pp	pp	ADP
fis-4859	486	2	.	.	PUNCT
fis-4859	487	1	563	563	NUM
fis-4859	487	2	-	-	SYM
fis-4859	487	3	571	571	NUM
fis-4859	487	4	.	.	PUNCT
fis-4859	488	1	doi	doi	NOUN
fis-4859	488	2	:	:	PUNCT
fis-4859	488	3	10.1016	10.1016	NUM
fis-4859	488	4	/	/	SYM
fis-4859	488	5	s0013	s0013	NOUN
fis-4859	488	6	-	-	PUNCT
fis-4859	488	7	7944(85)80049	7944(85)80049	NOUN
fis-4859	488	8	-	-	SYM
fis-4859	488	9	7	7	NUM
fis-4859	488	10	.	.	PUNCT
fis-4859	489	1	[	[	X
fis-4859	489	2	39	39	NUM
fis-4859	489	3	]	]	X
fis-4859	489	4	seitl	seitl	PROPN
fis-4859	489	5	,	,	PUNCT
fis-4859	489	6	s.	s.	PROPN
fis-4859	489	7	,	,	PUNCT
fis-4859	489	8	malíková	malíková	ADV
fis-4859	489	9	,	,	PUNCT
fis-4859	489	10	l.	l.	PROPN
fis-4859	489	11	,	,	PUNCT
fis-4859	489	12	růžička	růžička	PROPN
fis-4859	489	13	,	,	PUNCT
fis-4859	489	14	v.	v.	PROPN
fis-4859	489	15	,	,	PUNCT
fis-4859	489	16	moreno	moreno	PROPN
fis-4859	489	17	,	,	PUNCT
fis-4859	489	18	b.	b.	PROPN
fis-4859	489	19	and	and	CCONJ
fis-4859	489	20	lopez‐crespo	lopez‐crespo	PROPN
fis-4859	489	21	,	,	PUNCT
fis-4859	489	22	p.	p.	NOUN
fis-4859	489	23	(	(	PUNCT
fis-4859	489	24	2018	2018	NUM
fis-4859	489	25	)	)	PUNCT
fis-4859	489	26	.	.	PUNCT
fis-4859	490	1	williams	williams	PROPN
fis-4859	490	2	’	'	PUNCT
fis-4859	490	3	expansion‐based	expansion‐base	VERB
fis-4859	490	4	approximation	approximation	NOUN
fis-4859	490	5	of	of	ADP
fis-4859	490	6	the	the	DET
fis-4859	490	7	displacement	displacement	ADJ
fis-4859	490	8	field	field	NOUN
fis-4859	490	9	in	in	ADP
fis-4859	490	10	an	an	DET
fis-4859	490	11	al	al	PROPN
fis-4859	490	12	2024	2024	NUM
fis-4859	490	13	compact	compact	ADJ
fis-4859	490	14	tension	tension	NOUN
fis-4859	490	15	specimen	speciman	NOUN
fis-4859	490	16	reconstructed	reconstruct	VERB
fis-4859	490	17	from	from	ADP
fis-4859	490	18	optical	optical	ADJ
fis-4859	490	19	measurements	measurement	NOUN
fis-4859	490	20	.	.	PUNCT
fis-4859	491	1	fatigue	fatigue	NOUN
fis-4859	491	2	and	and	CCONJ
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fis-4859	491	7	and	and	CCONJ
fis-4859	491	8	structures	structure	NOUN
fis-4859	491	9	,	,	PUNCT
fis-4859	491	10	41(10	41(10	NOUN
fis-4859	491	11	)	)	PUNCT
fis-4859	491	12	,	,	PUNCT
fis-4859	491	13	pp	pp	ADP
fis-4859	491	14	.	.	PUNCT
fis-4859	491	15	2187	2187	NUM
fis-4859	491	16	-	-	SYM
fis-4859	491	17	2196	2196	NUM
fis-4859	491	18	.	.	PUNCT
fis-4859	492	1	doi	doi	NOUN
fis-4859	492	2	:	:	PUNCT
fis-4859	492	3	10.1111	10.1111	NUM
fis-4859	492	4	/	/	SYM
fis-4859	492	5	ffe.12842	ffe.12842	NOUN
fis-4859	492	6	.	.	PUNCT
fis-4859	493	1	[	[	X
fis-4859	493	2	40	40	NUM
fis-4859	493	3	]	]	X
fis-4859	493	4	seitl	seitl	PROPN
fis-4859	493	5	,	,	PUNCT
fis-4859	493	6	s.	s.	PROPN
fis-4859	493	7	,	,	PUNCT
fis-4859	493	8	malíková	malíková	ADV
fis-4859	493	9	,	,	PUNCT
fis-4859	493	10	l.	l.	PROPN
fis-4859	493	11	,	,	PUNCT
fis-4859	493	12	sobek	sobek	PROPN
fis-4859	493	13	,	,	PUNCT
fis-4859	493	14	j.	j.	PROPN
fis-4859	493	15	,	,	PUNCT
fis-4859	493	16	frantík	frantík	NOUN
fis-4859	493	17	,	,	PUNCT
fis-4859	493	18	p.	p.	NOUN
fis-4859	493	19	and	and	CCONJ
fis-4859	493	20	lopez	lopez	PROPN
fis-4859	493	21	-	-	PUNCT
fis-4859	493	22	crespo	crespo	NOUN
fis-4859	493	23	,	,	PUNCT
fis-4859	493	24	p.	p.	NOUN
fis-4859	493	25	(	(	PUNCT
fis-4859	493	26	2017	2017	NUM
fis-4859	493	27	)	)	PUNCT
fis-4859	493	28	.	.	PUNCT
fis-4859	494	1	williams	williams	PROPN
fis-4859	494	2	expansion	expansion	NOUN
fis-4859	494	3	-	-	PUNCT
fis-4859	494	4	based	base	VERB
fis-4859	494	5	approximation	approximation	NOUN
fis-4859	494	6	of	of	ADP
fis-4859	494	7	the	the	DET
fis-4859	494	8	stress	stress	NOUN
fis-4859	494	9	field	field	NOUN
fis-4859	494	10	in	in	ADP
fis-4859	494	11	an	an	DET
fis-4859	494	12	al	al	PROPN
fis-4859	494	13	2024	2024	NUM
fis-4859	494	14	body	body	NOUN
fis-4859	494	15	with	with	ADP
fis-4859	494	16	a	a	DET
fis-4859	494	17	crack	crack	NOUN
fis-4859	494	18	from	from	ADP
fis-4859	494	19	optical	optical	ADJ
fis-4859	494	20	measurements	measurement	NOUN
fis-4859	494	21	.	.	PUNCT
fis-4859	495	1	frattura	frattura	PROPN
fis-4859	495	2	ed	ed	PROPN
fis-4859	495	3	integrità	integrità	PROPN
fis-4859	495	4	strutturale	strutturale	PROPN
fis-4859	495	5	,	,	PUNCT
fis-4859	495	6	11(41	11(41	NUM
fis-4859	495	7	)	)	PUNCT
fis-4859	495	8	,	,	PUNCT
fis-4859	495	9	pp	pp	ADP
fis-4859	495	10	.	.	PUNCT
fis-4859	496	1	323	323	NUM
fis-4859	496	2	-	-	SYM
fis-4859	496	3	331	331	NUM
fis-4859	496	4	.	.	PUNCT
fis-4859	497	1	doi	doi	NOUN
fis-4859	497	2	:	:	PUNCT
fis-4859	497	3	10.3221	10.3221	NUM
fis-4859	497	4	/	/	SYM
fis-4859	497	5	igf	igf	NOUN
fis-4859	497	6	-	-	ADJ
fis-4859	497	7	esis.41.43	esis.41.43	ADJ
fis-4859	497	8	.	.	PUNCT
fis-4859	498	1	[	[	X
fis-4859	498	2	41	41	NUM
fis-4859	498	3	]	]	X
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fis-4859	498	5	,	,	PUNCT
fis-4859	498	6	a.	a.	PROPN
fis-4859	498	7	j.	j.	PROPN
fis-4859	498	8	(	(	PUNCT
fis-4859	498	9	1976	1976	NUM
fis-4859	498	10	)	)	PUNCT
fis-4859	498	11	.	.	PUNCT
fis-4859	499	1	experimentally	experimentally	ADV
fis-4859	499	2	determined	determine	VERB
fis-4859	499	3	stress	stress	NOUN
fis-4859	499	4	-	-	PUNCT
fis-4859	499	5	intensity	intensity	NOUN
fis-4859	499	6	factors	factor	NOUN
fis-4859	499	7	for	for	ADP
fis-4859	499	8	single	single	ADJ
fis-4859	499	9	-	-	PUNCT
fis-4859	499	10	edge	edge	NOUN
fis-4859	499	11	-	-	PUNCT
fis-4859	499	12	crack	crack	NOUN
fis-4859	499	13	round	round	NOUN
fis-4859	499	14	bars	bar	NOUN
fis-4859	499	15	loaded	load	VERB
fis-4859	499	16	in	in	ADP
fis-4859	499	17	bending	bend	VERB
fis-4859	499	18	:	:	PUNCT
fis-4859	499	19	from	from	ADP
fis-4859	499	20	compliance	compliance	NOUN
fis-4859	499	21	measurements	measurement	NOUN
fis-4859	499	22	,	,	PUNCT
fis-4859	499	23	dimensionless	dimensionless	ADJ
fis-4859	499	24	stress	stress	NOUN
fis-4859	499	25	-	-	PUNCT
fis-4859	499	26	intensity	intensity	NOUN
fis-4859	499	27	factors	factor	NOUN
fis-4859	499	28	were	be	AUX
fis-4859	499	29	determined	determine	VERB
fis-4859	499	30	for	for	ADP
fis-4859	499	31	single	single	ADJ
fis-4859	499	32	-	-	PUNCT
fis-4859	499	33	edge	edge	NOUN
fis-4859	499	34	-	-	PUNCT
fis-4859	499	35	crack	crack	NOUN
fis-4859	499	36	solid	solid	ADJ
fis-4859	499	37	and	and	CCONJ
fis-4859	499	38	hollow	hollow	ADJ
fis-4859	499	39	bars	bar	NOUN
fis-4859	499	40	loaded	load	VERB
fis-4859	499	41	in	in	ADP
fis-4859	499	42	three	three	NUM
fis-4859	499	43	-	-	PUNCT
fis-4859	499	44	point	point	NOUN
fis-4859	499	45	bending	bending	NOUN
fis-4859	499	46	.	.	PUNCT
fis-4859	500	1	experimental	experimental	ADJ
fis-4859	500	2	mechanics	mechanic	NOUN
fis-4859	500	3	,	,	PUNCT
fis-4859	500	4	16	16	NUM
fis-4859	500	5	,	,	PUNCT
fis-4859	500	6	pp	pp	ADJ
fis-4859	500	7	.	.	PUNCT
fis-4859	501	1	249	249	NUM
fis-4859	501	2	-	-	SYM
fis-4859	501	3	257	257	NUM
fis-4859	501	4	.	.	PUNCT
fis-4859	502	1	doi	doi	NOUN
fis-4859	502	2	:	:	PUNCT
fis-4859	502	3	10.1007	10.1007	NUM
fis-4859	502	4	/	/	SYM
fis-4859	502	5	bf02321148	bf02321148	NOUN
fis-4859	502	6	.	.	PUNCT
fis-4859	503	1	[	[	X
fis-4859	503	2	42	42	NUM
fis-4859	503	3	]	]	SYM
fis-4859	503	4	ayatollahi	ayatollahi	PROPN
fis-4859	503	5	,	,	PUNCT
fis-4859	503	6	m.	m.	PROPN
fis-4859	503	7	r.	r.	PROPN
fis-4859	503	8	and	and	CCONJ
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fis-4859	503	10	,	,	PUNCT
fis-4859	503	11	m.	m.	NOUN
fis-4859	503	12	(	(	PUNCT
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fis-4859	503	14	)	)	PUNCT
fis-4859	503	15	.	.	PUNCT
fis-4859	504	1	an	an	DET
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fis-4859	504	4	for	for	ADP
fis-4859	504	5	calculation	calculation	NOUN
fis-4859	504	6	of	of	ADP
fis-4859	504	7	coefficients	coefficient	NOUN
fis-4859	504	8	of	of	ADP
fis-4859	504	9	crack	crack	NOUN
fis-4859	504	10	tip	tip	NOUN
fis-4859	504	11	asymptotic	asymptotic	ADJ
fis-4859	504	12	field	field	NOUN
fis-4859	504	13	from	from	ADP
fis-4859	504	14	finite	finite	ADJ
fis-4859	504	15	element	element	NOUN
fis-4859	504	16	analysis	analysis	NOUN
fis-4859	504	17	.	.	PUNCT
fis-4859	505	1	fatigue	fatigue	NOUN
fis-4859	505	2	and	and	CCONJ
fis-4859	505	3	fracture	fracture	NOUN
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fis-4859	505	5	engineering	engineering	NOUN
fis-4859	505	6	materials	material	NOUN
fis-4859	505	7	and	and	CCONJ
fis-4859	505	8	structures	structure	NOUN
fis-4859	505	9	,	,	PUNCT
fis-4859	505	10	34(3	34(3	NUM
fis-4859	505	11	)	)	PUNCT
fis-4859	505	12	,	,	PUNCT
fis-4859	505	13	pp	pp	ADP
fis-4859	505	14	.	.	PUNCT
fis-4859	506	1	159	159	NUM
fis-4859	506	2	-	-	SYM
fis-4859	506	3	176	176	NUM
fis-4859	506	4	.	.	PUNCT
fis-4859	507	1	doi	doi	NOUN
fis-4859	507	2	:	:	PUNCT
fis-4859	507	3	10.1111	10.1111	NUM
fis-4859	507	4	/	/	SYM
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fis-4859	507	6	-	-	PUNCT
fis-4859	507	7	2695.2010.01504.x	2695.2010.01504.x	NUM
fis-4859	507	8	.	.	PUNCT
fis-4859	508	1	[	[	X
fis-4859	508	2	43	43	NUM
fis-4859	508	3	]	]	X
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fis-4859	508	5	,	,	PUNCT
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fis-4859	508	11	b.	b.	PROPN
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fis-4859	508	13	(	(	PUNCT
fis-4859	508	14	2007	2007	NUM
fis-4859	508	15	)	)	PUNCT
fis-4859	508	16	.	.	PUNCT
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fis-4859	509	4	a	a	DET
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fis-4859	509	14	field	field	NOUN
fis-4859	509	15	.	.	PUNCT
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fis-4859	510	2	fracture	fracture	NOUN
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fis-4859	510	4	,	,	PUNCT
fis-4859	510	5	74(7	74(7	NOUN
fis-4859	510	6	)	)	PUNCT
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fis-4859	510	9	.	.	PUNCT
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fis-4859	511	2	-	-	SYM
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fis-4859	511	4	.	.	PUNCT
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fis-4859	512	2	:	:	PUNCT
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fis-4859	512	4	/	/	SYM
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fis-4859	513	3	]	]	SYM
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fis-4859	513	7	d.	d.	PROPN
fis-4859	513	8	,	,	PUNCT
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fis-4859	513	10	,	,	PUNCT
fis-4859	513	11	y.	y.	PROPN
fis-4859	513	12	,	,	PUNCT
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fis-4859	513	14	,	,	PUNCT
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fis-4859	513	16	r.	r.	PROPN
fis-4859	513	17	,	,	PUNCT
fis-4859	513	18	chong	chong	PROPN
fis-4859	513	19	,	,	PUNCT
fis-4859	513	20	k.	k.	PROPN
fis-4859	513	21	p.	p.	PROPN
fis-4859	513	22	and	and	CCONJ
fis-4859	513	23	funatsu	funatsu	NOUN
fis-4859	513	24	,	,	PUNCT
fis-4859	513	25	t.	t.	PROPN
fis-4859	513	26	(	(	PUNCT
fis-4859	513	27	2014	2014	NUM
fis-4859	513	28	)	)	PUNCT
fis-4859	513	29	.	.	PUNCT
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fis-4859	514	2	-	-	PUNCT
fis-4859	514	3	suggested	suggest	VERB
fis-4859	514	4	method	method	NOUN
fis-4859	514	5	for	for	ADP
fis-4859	514	6	determining	determine	VERB
fis-4859	514	7	the	the	DET
fis-4859	514	8	mode	mode	NOUN
fis-4859	514	9	i	i	PRON
fis-4859	514	10	static	static	ADJ
fis-4859	514	11	fracture	fracture	NOUN
fis-4859	514	12	toughness	toughness	NOUN
fis-4859	514	13	using	use	VERB
fis-4859	514	14	semi	semi	ADJ
fis-4859	514	15	-	-	ADJ
fis-4859	514	16	circular	circular	ADJ
fis-4859	514	17	bend	bend	NOUN
fis-4859	514	18	specimen	speciman	NOUN
fis-4859	514	19	.	.	PUNCT
fis-4859	515	1	rock	rock	NOUN
fis-4859	515	2	mechanics	mechanic	NOUN
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fis-4859	515	4	rock	rock	NOUN
fis-4859	515	5	engineering	engineering	NOUN
fis-4859	515	6	,	,	PUNCT
fis-4859	515	7	47	47	NUM
fis-4859	515	8	,	,	PUNCT
fis-4859	515	9	pp	pp	ADJ
fis-4859	515	10	.	.	PUNCT
fis-4859	516	1	267	267	NUM
fis-4859	516	2	-	-	SYM
fis-4859	516	3	274	274	NUM
fis-4859	516	4	.	.	PUNCT
fis-4859	517	1	doi	doi	NOUN
fis-4859	517	2	:	:	PUNCT
fis-4859	517	3	10.1007	10.1007	NUM
fis-4859	517	4	/	/	SYM
fis-4859	517	5	s00603	s00603	NOUN
fis-4859	517	6	-	-	PUNCT
fis-4859	517	7	013	013	NUM
fis-4859	517	8	-	-	PUNCT
fis-4859	517	9	0422	0422	NUM
fis-4859	517	10	-	-	PUNCT
fis-4859	517	11	7	7	NUM
fis-4859	517	12	.	.	PUNCT
fis-4859	518	1	[	[	X
fis-4859	518	2	45	45	NUM
fis-4859	518	3	]	]	PUNCT
fis-4859	518	4	he	he	PRON
fis-4859	518	5	,	,	PUNCT
fis-4859	518	6	z.	z.	PROPN
fis-4859	518	7	and	and	CCONJ
fis-4859	518	8	kotousov	kotousov	PROPN
fis-4859	518	9	,	,	PUNCT
fis-4859	518	10	a.	a.	NOUN
fis-4859	518	11	(	(	PUNCT
fis-4859	518	12	2016	2016	NUM
fis-4859	518	13	)	)	PUNCT
fis-4859	518	14	.	.	PUNCT
fis-4859	519	1	on	on	ADP
fis-4859	519	2	evaluation	evaluation	NOUN
fis-4859	519	3	of	of	ADP
fis-4859	519	4	stress	stress	NOUN
fis-4859	519	5	intensity	intensity	NOUN
fis-4859	519	6	factor	factor	NOUN
fis-4859	519	7	from	from	ADP
fis-4859	519	8	in	in	ADP
fis-4859	519	9	-	-	PUNCT
fis-4859	519	10	plane	plane	NOUN
fis-4859	519	11	and	and	CCONJ
fis-4859	519	12	transverse	transverse	NOUN
fis-4859	519	13	surface	surface	NOUN
fis-4859	519	14	displacements	displacement	NOUN
fis-4859	519	15	.	.	PUNCT
fis-4859	520	1	experimental	experimental	ADJ
fis-4859	520	2	mechanics	mechanic	NOUN
fis-4859	520	3	,	,	PUNCT
fis-4859	520	4	56	56	NUM
fis-4859	520	5	,	,	PUNCT
fis-4859	520	6	pp	pp	ADJ
fis-4859	520	7	.	.	PUNCT
fis-4859	521	1	1385	1385	NUM
fis-4859	521	2	-	-	SYM
fis-4859	521	3	1393	1393	NUM
fis-4859	521	4	.	.	PUNCT
fis-4859	522	1	doi	doi	NOUN
fis-4859	522	2	:	:	PUNCT
fis-4859	522	3	10.1007	10.1007	NUM
fis-4859	522	4	/	/	SYM
fis-4859	522	5	s11340	s11340	NOUN
fis-4859	522	6	-	-	PUNCT
fis-4859	522	7	016	016	NUM
fis-4859	522	8	-	-	PUNCT
fis-4859	522	9	0176	0176	NUM
fis-4859	522	10	-	-	PUNCT
fis-4859	522	11	8	8	NUM
fis-4859	522	12	.	.	PUNCT
fis-4859	523	1	[	[	X
fis-4859	523	2	46	46	NUM
fis-4859	523	3	]	]	PUNCT
fis-4859	523	4	erdogan	erdogan	ADJ
fis-4859	523	5	,	,	PUNCT
fis-4859	523	6	f.	f.	PROPN
fis-4859	523	7	and	and	CCONJ
fis-4859	523	8	kibler	kibler	PROPN
fis-4859	523	9	,	,	PUNCT
fis-4859	523	10	j.	j.	PROPN
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fis-4859	523	12	(	(	PUNCT
fis-4859	523	13	1969	1969	NUM
fis-4859	523	14	)	)	PUNCT
fis-4859	523	15	.	.	PUNCT
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fis-4859	524	2	and	and	CCONJ
fis-4859	524	3	spherical	spherical	ADJ
fis-4859	524	4	shells	shell	NOUN
fis-4859	524	5	with	with	ADP
fis-4859	524	6	cracks	crack	NOUN
fis-4859	524	7	.	.	PUNCT
fis-4859	525	1	international	international	ADJ
fis-4859	525	2	journal	journal	NOUN
fis-4859	525	3	of	of	ADP
fis-4859	525	4	fracture	fracture	PROPN
fis-4859	525	5	mechanics	mechanic	NOUN
fis-4859	525	6	,	,	PUNCT
fis-4859	525	7	5(3	5(3	NUM
fis-4859	525	8	)	)	PUNCT
fis-4859	525	9	,	,	PUNCT
fis-4859	525	10	pp	pp	PROPN
fis-4859	525	11	.	.	PUNCT
fis-4859	526	1	229	229	NUM
fis-4859	526	2	-	-	SYM
fis-4859	526	3	237	237	NUM
fis-4859	526	4	.	.	PUNCT
fis-4859	527	1	doi	doi	NOUN
fis-4859	527	2	:	:	PUNCT
fis-4859	527	3	10.1007	10.1007	NUM
fis-4859	527	4	/	/	SYM
fis-4859	527	5	bf00184614	bf00184614	NOUN
fis-4859	527	6	.	.	PUNCT
fis-4859	528	1	[	[	X
fis-4859	528	2	47	47	NUM
fis-4859	528	3	]	]	X
fis-4859	528	4	shi	shi	PROPN
fis-4859	528	5	,	,	PUNCT
fis-4859	528	6	j.	j.	PROPN
fis-4859	528	7	s.	s.	PROPN
fis-4859	528	8	,	,	PUNCT
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fis-4859	528	10	,	,	PUNCT
fis-4859	528	11	j.	j.	PROPN
fis-4859	528	12	y.	y.	PROPN
fis-4859	528	13	,	,	PUNCT
fis-4859	528	14	ren	ren	PROPN
fis-4859	528	15	,	,	PUNCT
fis-4859	528	16	w.	w.	PROPN
fis-4859	528	17	b.	b.	PROPN
fis-4859	528	18	and	and	CCONJ
fis-4859	528	19	su	su	PROPN
fis-4859	528	20	,	,	PUNCT
fis-4859	528	21	h.	h.	PROPN
fis-4859	528	22	y.	y.	PROPN
fis-4859	528	23	(	(	PUNCT
fis-4859	528	24	2014	2014	NUM
fis-4859	528	25	)	)	PUNCT
fis-4859	528	26	.	.	PUNCT
fis-4859	529	1	research	research	NOUN
fis-4859	529	2	on	on	ADP
fis-4859	529	3	energy	energy	NOUN
fis-4859	529	4	dissipation	dissipation	NOUN
fis-4859	529	5	and	and	CCONJ
fis-4859	529	6	fractal	fractal	ADJ
fis-4859	529	7	characteristics	characteristic	NOUN
fis-4859	529	8	of	of	ADP
fis-4859	529	9	concrete	concrete	NOUN
fis-4859	529	10	after	after	ADP
fis-4859	529	11	exposure	exposure	NOUN
fis-4859	529	12	to	to	ADP
fis-4859	529	13	elevated	elevated	ADJ
fis-4859	529	14	temperatures	temperature	NOUN
fis-4859	529	15	under	under	ADP
fis-4859	529	16	impact	impact	NOUN
fis-4859	529	17	loading	loading	NOUN
fis-4859	529	18	.	.	PUNCT
fis-4859	530	1	acta	acta	PROPN
fis-4859	530	2	armamentarii	armamentarii	PROPN
fis-4859	530	3	,	,	PUNCT
fis-4859	530	4	35(5	35(5	NUM
fis-4859	530	5	)	)	PUNCT
fis-4859	530	6	,	,	PUNCT
fis-4859	530	7	pp	pp	ADP
fis-4859	530	8	.	.	PUNCT
fis-4859	531	1	703	703	NUM
fis-4859	531	2	-	-	SYM
fis-4859	531	3	710	710	NUM
fis-4859	531	4	.	.	PUNCT
fis-4859	531	5	doi	doi	NOUN
fis-4859	531	6	:	:	PUNCT
fis-4859	531	7	10.3969	10.3969	NUM
fis-4859	531	8	/	/	SYM
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fis-4859	531	10	-	-	PUNCT
fis-4859	531	11	1093.2014.05.019	1093.2014.05.019	NUM
fis-4859	531	12	.	.	PUNCT
fis-4859	532	1	[	[	X
fis-4859	532	2	48	48	NUM
fis-4859	532	3	]	]	PUNCT
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fis-4859	532	5	,	,	PUNCT
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fis-4859	532	9	,	,	PUNCT
fis-4859	532	10	j.	j.	PROPN
fis-4859	532	11	f.	f.	PROPN
fis-4859	532	12	(	(	PUNCT
fis-4859	532	13	2010	2010	NUM
fis-4859	532	14	)	)	PUNCT
fis-4859	532	15	.	.	PUNCT
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fis-4859	533	3	of	of	ADP
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fis-4859	533	5	,	,	PUNCT
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fis-4859	533	14	.	.	PUNCT
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fis-4859	534	9	,	,	PUNCT
fis-4859	534	10	58(1	58(1	NOUN
fis-4859	534	11	)	)	PUNCT
fis-4859	534	12	,	,	PUNCT
fis-4859	534	13	pp	pp	PROPN
fis-4859	534	14	.	.	PUNCT
fis-4859	535	1	12	12	NUM
fis-4859	535	2	-	-	SYM
fis-4859	535	3	26	26	NUM
fis-4859	535	4	.	.	PUNCT
fis-4859	536	1	doi	doi	NOUN
fis-4859	536	2	:	:	PUNCT
fis-4859	536	3	10.1016	10.1016	NUM
fis-4859	536	4	/	/	SYM
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fis-4859	536	6	.	.	PUNCT
fis-4859	537	1	[	[	X
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fis-4859	537	3	]	]	X
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fis-4859	537	5	,	,	PUNCT
fis-4859	537	6	f.	f.	PROPN
fis-4859	537	7	,	,	PUNCT
fis-4859	537	8	molinari	molinari	PROPN
fis-4859	537	9	,	,	PUNCT
fis-4859	537	10	j.	j.	PROPN
fis-4859	537	11	f.	f.	PROPN
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fis-4859	537	14	,	,	PUNCT
fis-4859	537	15	k.	k.	PROPN
fis-4859	537	16	t.	t.	PROPN
fis-4859	537	17	(	(	PUNCT
fis-4859	537	18	2006	2006	NUM
fis-4859	537	19	)	)	PUNCT
fis-4859	537	20	.	.	PUNCT
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fis-4859	538	2	of	of	ADP
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fis-4859	538	6	the	the	DET
fis-4859	538	7	fragmentation	fragmentation	NOUN
fis-4859	538	8	of	of	ADP
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fis-4859	538	11	.	.	PUNCT
fis-4859	539	1	s.	s.	PROPN
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fis-4859	539	5	,	,	PUNCT
fis-4859	539	6	frattura	frattura	PROPN
fis-4859	539	7	ed	ed	PROPN
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fis-4859	539	10	,	,	PUNCT
fis-4859	539	11	69	69	NUM
fis-4859	539	12	(	(	PUNCT
fis-4859	539	13	2024	2024	NUM
fis-4859	539	14	)	)	PUNCT
fis-4859	539	15	1	1	NUM
fis-4859	539	16	-	-	SYM
fis-4859	539	17	17	17	NUM
fis-4859	539	18	;	;	PUNCT
fis-4859	539	19	doi	doi	NOUN
fis-4859	539	20	:	:	PUNCT
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fis-4859	539	22	/	/	SYM
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fis-4859	539	24	-	-	PUNCT
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fis-4859	539	26	17	17	NUM
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fis-4859	539	30	fracture	fracture	NOUN
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fis-4859	539	32	139(2	139(2	NUM
fis-4859	539	33	)	)	PUNCT
fis-4859	539	34	,	,	PUNCT
fis-4859	539	35	pp	pp	PROPN
fis-4859	539	36	.	.	PUNCT
fis-4859	540	1	169	169	NUM
fis-4859	540	2	-	-	SYM
fis-4859	540	3	196	196	NUM
fis-4859	540	4	.	.	PUNCT
fis-4859	541	1	doi	doi	NOUN
fis-4859	541	2	:	:	PUNCT
fis-4859	541	3	10.1007	10.1007	NUM
fis-4859	541	4	/	/	SYM
fis-4859	541	5	s10704	s10704	NOUN
fis-4859	541	6	-	-	PUNCT
fis-4859	541	7	006	006	NUM
fis-4859	541	8	-	-	PUNCT
fis-4859	541	9	7135	7135	NUM
fis-4859	541	10	-	-	SYM
fis-4859	541	11	9	9	NUM
fis-4859	541	12	.	.	PUNCT
fis-4859	542	1	[	[	X
fis-4859	542	2	50	50	NUM
fis-4859	542	3	]	]	X
fis-4859	542	4	ren	ren	PROPN
fis-4859	542	5	,	,	PUNCT
fis-4859	542	6	w.	w.	PROPN
fis-4859	542	7	and	and	CCONJ
fis-4859	542	8	xu	xu	PROPN
fis-4859	542	9	,	,	PUNCT
fis-4859	542	10	j.	j.	PROPN
fis-4859	542	11	(	(	PUNCT
fis-4859	542	12	2017	2017	NUM
fis-4859	542	13	)	)	PUNCT
fis-4859	542	14	.	.	PUNCT
fis-4859	543	1	fractal	fractal	ADJ
fis-4859	543	2	characteristics	characteristic	NOUN
fis-4859	543	3	of	of	ADP
fis-4859	543	4	concrete	concrete	ADJ
fis-4859	543	5	fragmentation	fragmentation	NOUN
fis-4859	543	6	under	under	ADP
fis-4859	543	7	impact	impact	NOUN
fis-4859	543	8	loading	loading	NOUN
fis-4859	543	9	.	.	PUNCT
fis-4859	544	1	journal	journal	NOUN
fis-4859	544	2	of	of	ADP
fis-4859	544	3	materials	material	NOUN
fis-4859	544	4	in	in	ADP
fis-4859	544	5	civil	civil	ADJ
fis-4859	544	6	engineering	engineering	NOUN
fis-4859	544	7	,	,	PUNCT
fis-4859	544	8	29(4	29(4	NOUN
fis-4859	544	9	)	)	PUNCT
fis-4859	544	10	,	,	PUNCT
fis-4859	544	11	04016244	04016244	NUM
fis-4859	544	12	.	.	PUNCT
fis-4859	545	1	doi:10.1061/(asce)mt.1943	doi:10.1061/(asce)mt.1943	PROPN
fis-4859	545	2	-	-	PUNCT
fis-4859	545	3	5533.0001764	5533.0001764	ADJ
fis-4859	545	4	.	.	PUNCT
fis-4859	546	1	[	[	X
fis-4859	546	2	51	51	NUM
fis-4859	546	3	]	]	X
fis-4859	546	4	feng	feng	PROPN
fis-4859	546	5	,	,	PUNCT
fis-4859	546	6	p.	p.	PROPN
fis-4859	546	7	,	,	PUNCT
fis-4859	546	8	liu	liu	PROPN
fis-4859	546	9	,	,	PUNCT
fis-4859	546	10	b.	b.	PROPN
fis-4859	546	11	,	,	PUNCT
fis-4859	546	12	tang	tang	PROPN
fis-4859	546	13	,	,	PUNCT
fis-4859	546	14	r.	r.	PROPN
fis-4859	546	15	,	,	PUNCT
fis-4859	546	16	wei	wei	PROPN
fis-4859	546	17	,	,	PUNCT
fis-4859	546	18	m.	m.	NOUN
fis-4859	546	19	,	,	PUNCT
fis-4859	546	20	zhang	zhang	PROPN
fis-4859	546	21	,	,	PUNCT
fis-4859	546	22	y.	y.	PROPN
fis-4859	546	23	and	and	CCONJ
fis-4859	546	24	li	li	PROPN
fis-4859	546	25	,	,	PUNCT
fis-4859	546	26	h.	h.	PROPN
fis-4859	546	27	(	(	PUNCT
fis-4859	546	28	2022	2022	NUM
fis-4859	546	29	)	)	PUNCT
fis-4859	546	30	.	.	PUNCT
fis-4859	547	1	dynamic	dynamic	ADJ
fis-4859	547	2	fracture	fracture	NOUN
fis-4859	547	3	behaviors	behavior	NOUN
fis-4859	547	4	and	and	CCONJ
fis-4859	547	5	fragment	fragment	ADJ
fis-4859	547	6	characteristics	characteristic	NOUN
fis-4859	547	7	of	of	ADP
fis-4859	547	8	pre	pre	ADJ
fis-4859	547	9	-	-	ADJ
fis-4859	547	10	compressed	compressed	ADJ
fis-4859	547	11	flawed	flawed	ADJ
fis-4859	547	12	sandstones	sandstone	NOUN
fis-4859	547	13	.	.	PUNCT
fis-4859	548	1	international	international	ADJ
fis-4859	548	2	journal	journal	PROPN
fis-4859	548	3	of	of	ADP
fis-4859	548	4	mechanical	mechanical	ADJ
fis-4859	548	5	sciences	science	NOUN
fis-4859	548	6	,	,	PUNCT
fis-4859	548	7	220	220	NUM
fis-4859	548	8	,	,	PUNCT
fis-4859	548	9	107162	107162	NUM
fis-4859	548	10	.	.	PUNCT
fis-4859	549	1	doi	doi	NOUN
fis-4859	549	2	:	:	PUNCT
fis-4859	549	3	10.1016	10.1016	NUM
fis-4859	549	4	/	/	SYM
fis-4859	549	5	j.ijmecsci.2022.107162	j.ijmecsci.2022.107162	NOUN
fis-4859	549	6	.	.	PUNCT
fis-4859	550	1	[	[	X
fis-4859	550	2	52	52	NUM
fis-4859	550	3	]	]	PUNCT
fis-4859	550	4	duggan	duggan	NOUN
fis-4859	550	5	,	,	PUNCT
fis-4859	550	6	t.	t.	PROPN
fis-4859	550	7	v.	v.	PROPN
fis-4859	550	8	,	,	PUNCT
fis-4859	550	9	byrne	byrne	PROPN
fis-4859	550	10	,	,	PUNCT
fis-4859	550	11	j.	j.	PROPN
fis-4859	550	12	,	,	PUNCT
fis-4859	550	13	duggan	duggan	PROPN
fis-4859	550	14	,	,	PUNCT
fis-4859	550	15	t.	t.	PROPN
fis-4859	550	16	v.	v.	PROPN
fis-4859	550	17	and	and	CCONJ
fis-4859	550	18	byrne	byrne	PROPN
fis-4859	550	19	,	,	PUNCT
fis-4859	550	20	j.	j.	PROPN
fis-4859	550	21	(	(	PUNCT
fis-4859	550	22	1977	1977	NUM
fis-4859	550	23	)	)	PUNCT
fis-4859	550	24	.	.	PUNCT
fis-4859	551	1	fracture	fracture	NOUN
fis-4859	551	2	mechanics	mechanic	NOUN
fis-4859	551	3	and	and	CCONJ
fis-4859	551	4	fatigue	fatigue	NOUN
fis-4859	551	5	crack	crack	VERB
fis-4859	551	6	propagation	propagation	NOUN
fis-4859	551	7	.	.	PUNCT
fis-4859	552	1	fatigue	fatigue	NOUN
fis-4859	552	2	as	as	ADP
fis-4859	552	3	a	a	DET
fis-4859	552	4	design	design	NOUN
fis-4859	552	5	criterion	criterion	NOUN
fis-4859	552	6	,	,	PUNCT
fis-4859	552	7	pp	pp	ADJ
fis-4859	552	8	.	.	PUNCT
fis-4859	553	1	112	112	NUM
fis-4859	553	2	-	-	SYM
fis-4859	553	3	147	147	NUM
fis-4859	553	4	.	.	PUNCT
fis-4859	554	1	doi	doi	NOUN
fis-4859	554	2	:	:	PUNCT
fis-4859	554	3	10.1007/978	10.1007/978	NUM
fis-4859	554	4	-	-	SYM
fis-4859	554	5	1	1	NUM
fis-4859	554	6	-	-	PUNCT
fis-4859	554	7	349	349	NUM
fis-4859	554	8	-	-	PUNCT
fis-4859	554	9	03222	03222	NUM
fis-4859	554	10	-	-	PUNCT
fis-4859	554	11	8_6	8_6	NUM
fis-4859	554	12	.	.	PUNCT
fis-4859	555	1	nomenclature	nomenclature	NOUN
fis-4859	555	2	e	e	NOUN
fis-4859	555	3	:	:	PUNCT
fis-4859	555	4	young	young	ADJ
fis-4859	555	5	’s	’s	PART
fis-4859	555	6	modulus	modulus	NOUN
fis-4859	555	7	(	(	PUNCT
fis-4859	555	8	mpa	mpa	PROPN
fis-4859	555	9	)	)	PUNCT
fis-4859	555	10	;	;	PUNCT
fis-4859	556	1	α	α	X
fis-4859	556	2	:	:	PUNCT
fis-4859	556	3	half	half	ADJ
fis-4859	556	4	-	-	PUNCT
fis-4859	556	5	crack	crack	NOUN
fis-4859	556	6	center	center	NOUN
fis-4859	556	7	angle	angle	NOUN
fis-4859	556	8	(	(	PUNCT
fis-4859	556	9	º	º	NOUN
fis-4859	556	10	)	)	PUNCT
fis-4859	556	11	;	;	PUNCT
fis-4859	556	12	r	r	NOUN
fis-4859	556	13	:	:	PUNCT
fis-4859	556	14	cylinder	cylinder	NOUN
fis-4859	556	15	radius	radius	NOUN
fis-4859	556	16	(	(	PUNCT
fis-4859	556	17	mm	mm	PROPN
fis-4859	556	18	)	)	PUNCT
fis-4859	556	19	;	;	PUNCT
fis-4859	556	20	g	g	NOUN
fis-4859	556	21	:	:	PUNCT
fis-4859	556	22	shear	shear	NOUN
fis-4859	556	23	modulus	modulus	NOUN
fis-4859	556	24	(	(	PUNCT
fis-4859	556	25	mpa	mpa	PROPN
fis-4859	556	26	)	)	PUNCT
fis-4859	556	27	;	;	PUNCT
fis-4859	556	28	κ	κ	X
fis-4859	556	29	:	:	PUNCT
fis-4859	556	30	kolosov	kolosov	NOUN
fis-4859	556	31	constant	constant	ADJ
fis-4859	556	32	;	;	PUNCT
fis-4859	556	33	ν	ν	NOUN
fis-4859	556	34	:	:	PUNCT
fis-4859	556	35	poisson	poisson	PROPN
fis-4859	556	36	’s	’s	PART
fis-4859	556	37	ratio	ratio	NOUN
fis-4859	556	38	;	;	PUNCT
fis-4859	556	39	(	(	PUNCT
fis-4859	556	40	x	x	X
fis-4859	556	41	,	,	PUNCT
fis-4859	556	42	y	y	PROPN
fis-4859	556	43	,	,	PUNCT
fis-4859	556	44	z	z	NOUN
fis-4859	556	45	)	)	PUNCT
fis-4859	556	46	:	:	PUNCT
fis-4859	556	47	global	global	ADJ
fis-4859	556	48	basis	basis	NOUN
fis-4859	556	49	;	;	PUNCT
fis-4859	556	50	(	(	PUNCT
fis-4859	556	51	i	i	PRON
fis-4859	556	52	,	,	PUNCT
fis-4859	556	53	j	j	PROPN
fis-4859	556	54	,	,	PUNCT
fis-4859	556	55	k	k	PROPN
fis-4859	556	56	)	)	PUNCT
fis-4859	556	57	:	:	PUNCT
fis-4859	556	58	local	local	ADJ
fis-4859	556	59	basis	basis	NOUN
fis-4859	556	60	defined	define	VERB
fis-4859	556	61	by	by	ADP
fis-4859	556	62	crack	crack	NOUN
fis-4859	556	63	;	;	PUNCT
fis-4859	556	64	u	u	NOUN
fis-4859	556	65	:	:	PUNCT
fis-4859	556	66	x	x	SYM
fis-4859	556	67	direction	direction	NOUN
fis-4859	556	68	displacement	displacement	NOUN
fis-4859	556	69	vector	vector	NOUN
fis-4859	556	70	(	(	PUNCT
fis-4859	556	71	mm	mm	PROPN
fis-4859	556	72	)	)	PUNCT
fis-4859	556	73	;	;	PUNCT
fis-4859	557	1	v	v	X
fis-4859	557	2	:	:	PUNCT
fis-4859	557	3	y	y	NOUN
fis-4859	557	4	direction	direction	NOUN
fis-4859	557	5	displacement	displacement	ADJ
fis-4859	557	6	vector	vector	NOUN
fis-4859	557	7	(	(	PUNCT
fis-4859	557	8	mm	mm	PROPN
fis-4859	557	9	)	)	PUNCT
fis-4859	557	10	;	;	PUNCT
fis-4859	557	11	w	w	X
fis-4859	557	12	:	:	PUNCT
fis-4859	557	13	z	z	NOUN
fis-4859	557	14	direction	direction	NOUN
fis-4859	557	15	displacement	displacement	NOUN
fis-4859	557	16	vector	vector	NOUN
fis-4859	557	17	(	(	PUNCT
fis-4859	557	18	mm	mm	PROPN
fis-4859	557	19	)	)	PUNCT
fis-4859	557	20	;	;	PUNCT
fis-4859	557	21	u	u	NOUN
fis-4859	557	22	:	:	PUNCT
fis-4859	557	23	i	i	PRON
fis-4859	557	24	direction	direction	VERB
fis-4859	557	25	displacement	displacement	ADJ
fis-4859	557	26	vector	vector	NOUN
fis-4859	557	27	(	(	PUNCT
fis-4859	557	28	mm	mm	PROPN
fis-4859	557	29	)	)	PUNCT
fis-4859	557	30	;	;	PUNCT
fis-4859	557	31	v	v	X
fis-4859	557	32	:	:	PUNCT
fis-4859	557	33	j	j	PROPN
fis-4859	557	34	direction	direction	NOUN
fis-4859	557	35	displacement	displacement	NOUN
fis-4859	557	36	vector	vector	NOUN
fis-4859	557	37	(	(	PUNCT
fis-4859	557	38	mm	mm	PROPN
fis-4859	557	39	)	)	PUNCT
fis-4859	557	40	;	;	PUNCT
fis-4859	557	41	w	w	X
fis-4859	557	42	:	:	PUNCT
fis-4859	557	43	k	k	PROPN
fis-4859	557	44	direction	direction	NOUN
fis-4859	557	45	displacement	displacement	NOUN
fis-4859	557	46	vector	vector	NOUN
fis-4859	557	47	(	(	PUNCT
fis-4859	557	48	mm	mm	PROPN
fis-4859	557	49	)	)	PUNCT
fis-4859	557	50	;	;	PUNCT
fis-4859	557	51	ū	ū	PRON
fis-4859	557	52	:	:	PUNCT
fis-4859	557	53	i	i	NOUN
fis-4859	557	54	-	-	PUNCT
fis-4859	557	55	direction	direction	NOUN
fis-4859	557	56	displacement	displacement	NOUN
fis-4859	557	57	in	in	ADP
fis-4859	557	58	the	the	DET
fis-4859	557	59	equivalent	equivalent	ADJ
fis-4859	557	60	system	system	NOUN
fis-4859	557	61	(	(	PUNCT
fis-4859	557	62	mm	mm	NOUN
fis-4859	557	63	)	)	PUNCT
fis-4859	557	64	;	;	PUNCT
fis-4859	557	65	v̄	v̄	NOUN
fis-4859	557	66	:	:	PUNCT
fis-4859	557	67	j	j	NOUN
fis-4859	557	68	-	-	PUNCT
fis-4859	557	69	direction	direction	NOUN
fis-4859	557	70	displacement	displacement	NOUN
fis-4859	557	71	in	in	ADP
fis-4859	557	72	the	the	DET
fis-4859	557	73	equivalent	equivalent	ADJ
fis-4859	557	74	system	system	NOUN
fis-4859	557	75	(	(	PUNCT
fis-4859	557	76	mm	mm	PROPN
fis-4859	557	77	)	)	PUNCT
fis-4859	557	78	;	;	PUNCT
fis-4859	557	79	an	an	DET
fis-4859	557	80	:	:	PUNCT
fis-4859	557	81	coefficients	coefficient	NOUN
fis-4859	557	82	of	of	ADP
fis-4859	557	83	the	the	DET
fis-4859	557	84	expansion	expansion	NOUN
fis-4859	557	85	;	;	PUNCT
fis-4859	557	86	bn	bn	NUM
fis-4859	557	87	:	:	PUNCT
fis-4859	557	88	coefficients	coefficient	NOUN
fis-4859	557	89	of	of	ADP
fis-4859	557	90	the	the	DET
fis-4859	557	91	expansion	expansion	NOUN
fis-4859	557	92	;	;	PUNCT
fis-4859	557	93	a	a	DET
fis-4859	557	94	:	:	PUNCT
fis-4859	557	95	half	half	ADJ
fis-4859	557	96	crack	crack	NOUN
fis-4859	557	97	length	length	NOUN
fis-4859	557	98	,	,	PUNCT
fis-4859	557	99	a	a	DET
fis-4859	557	100	=	=	X
fis-4859	557	101	αrπ/180º	αrπ/180º	NOUN
fis-4859	557	102	(	(	PUNCT
fis-4859	557	103	mm	mm	PROPN
fis-4859	557	104	)	)	PUNCT
fis-4859	557	105	;	;	PUNCT
fis-4859	557	106	l	l	NOUN
fis-4859	557	107	:	:	PUNCT
fis-4859	557	108	cylinder	cylinder	NOUN
fis-4859	557	109	length	length	NOUN
fis-4859	557	110	(	(	PUNCT
fis-4859	557	111	mm	mm	PROPN
fis-4859	557	112	)	)	PUNCT
fis-4859	557	113	;	;	PUNCT
fis-4859	557	114	h	h	NOUN
fis-4859	557	115	:	:	PUNCT
fis-4859	557	116	cylinder	cylinder	NOUN
fis-4859	557	117	thickness	thickness	NOUN
fis-4859	557	118	(	(	PUNCT
fis-4859	557	119	mm	mm	PROPN
fis-4859	557	120	)	)	PUNCT
fis-4859	557	121	;	;	PUNCT
fis-4859	557	122	ki	ki	PROPN
fis-4859	557	123	:	:	PUNCT
fis-4859	557	124	stress	stress	NOUN
fis-4859	557	125	intensity	intensity	NOUN
fis-4859	557	126	factor	factor	NOUN
fis-4859	557	127	of	of	ADP
fis-4859	557	128	mode	mode	NOUN
fis-4859	557	129	i	i	PRON
fis-4859	557	130	crack	crack	VERB
fis-4859	557	131	(	(	PUNCT
fis-4859	557	132	mpa‧mm0.5	mpa‧mm0.5	NOUN
fis-4859	557	133	)	)	PUNCT
fis-4859	557	134	;	;	PUNCT
fis-4859	557	135	kii	kii	PROPN
fis-4859	557	136	:	:	PUNCT
fis-4859	557	137	stress	stress	NOUN
fis-4859	557	138	intensity	intensity	NOUN
fis-4859	557	139	factor	factor	NOUN
fis-4859	557	140	of	of	ADP
fis-4859	557	141	mode	mode	PROPN
fis-4859	557	142	ii	ii	PROPN
fis-4859	557	143	crack	crack	VERB
fis-4859	557	144	(	(	PUNCT
fis-4859	557	145	mpa‧mm0.5	mpa‧mm0.5	NOUN
fis-4859	557	146	)	)	PUNCT
fis-4859	557	147	;	;	PUNCT
fis-4859	557	148	f	f	X
fis-4859	557	149	:	:	PUNCT
fis-4859	557	150	dimensionless	dimensionless	NOUN
fis-4859	557	151	stress	stress	NOUN
fis-4859	557	152	intensity	intensity	NOUN
fis-4859	557	153	factor	factor	NOUN
fis-4859	557	154	;	;	PUNCT
fis-4859	557	155	dn	dn	NOUN
fis-4859	557	156	:	:	PUNCT
fis-4859	557	157	number	number	NOUN
fis-4859	557	158	of	of	ADP
fis-4859	557	159	data	datum	NOUN
fis-4859	557	160	points	point	NOUN
fis-4859	557	161	;	;	PUNCT
fis-4859	557	162	tn	tn	NOUN
fis-4859	557	163	:	:	PUNCT
fis-4859	557	164	last	last	ADJ
fis-4859	557	165	term	term	NOUN
fis-4859	557	166	in	in	ADP
fis-4859	557	167	the	the	DET
fis-4859	557	168	williams	williams	PROPN
fis-4859	557	169	expansion	expansion	NOUN
fis-4859	557	170	;	;	PUNCT
fis-4859	557	171	en	en	X
fis-4859	557	172	:	:	PUNCT
fis-4859	557	173	excess	excess	NOUN
fis-4859	557	174	of	of	ADP
fis-4859	557	175	the	the	DET
fis-4859	557	176	number	number	NOUN
fis-4859	557	177	of	of	ADP
fis-4859	557	178	data	datum	NOUN
fis-4859	557	179	points	point	NOUN
fis-4859	557	180	over	over	ADP
fis-4859	557	181	the	the	DET
fis-4859	557	182	number	number	NOUN
fis-4859	557	183	of	of	ADP
fis-4859	557	184	terms	term	NOUN
fis-4859	557	185	in	in	ADP
fis-4859	557	186	williams	williams	PROPN
fis-4859	557	187	expansion	expansion	NOUN
fis-4859	557	188	;	;	PUNCT
fis-4859	557	189	rs	r	NOUN
fis-4859	557	190	:	:	PUNCT
fis-4859	557	191	data	datum	NOUN
fis-4859	557	192	selecting	select	VERB
fis-4859	557	193	ring	ring	NOUN
fis-4859	557	194	radius	radius	NOUN
fis-4859	557	195	(	(	PUNCT
fis-4859	557	196	mm	mm	PROPN
fis-4859	557	197	)	)	PUNCT
fis-4859	557	198	;	;	PUNCT
fis-4859	557	199	φc	φc	ADP
fis-4859	557	200	:	:	PUNCT
fis-4859	557	201	rigid	rigid	ADJ
fis-4859	557	202	body	body	NOUN
fis-4859	557	203	rotation	rotation	NOUN
fis-4859	557	204	to	to	ADP
fis-4859	557	205	the	the	DET
fis-4859	557	206	crack	crack	NOUN
fis-4859	557	207	tip	tip	NOUN
fis-4859	557	208	introduction	introduction	NOUN
fis-4859	557	209	theoretical	theoretical	ADJ
fis-4859	557	210	considerations	consideration	NOUN
fis-4859	557	211	methodology	methodology	VERB
fis-4859	557	212	cylindrical	cylindrical	ADJ
fis-4859	557	213	shells	shell	NOUN
fis-4859	557	214	spherical	spherical	ADJ
fis-4859	557	215	shells	shell	NOUN
fis-4859	557	216	convergence	convergence	NOUN
fis-4859	557	217	features	feature	VERB
fis-4859	557	218	discussion	discussion	NOUN
fis-4859	557	219	conclusions	conclusion	NOUN
fis-4859	557	220	acknowledgments	acknowledgment	NOUN
fis-4859	557	221	conflict	conflict	NOUN
fis-4859	557	222	of	of	ADP
fis-4859	557	223	interest	interest	NOUN
fis-4859	557	224	statement	statement	NOUN
fis-4859	557	225	references	reference	VERB
fis-4859	557	226	nomenclature	nomenclature	NOUN