id	sid	tid	token	lemma	pos
fis-13	1	1	microsoft	microsoft	PROPN
fis-13	1	2	word	word	PROPN
fis-13	1	3	numero	numero	PROPN
fis-13	1	4	2	2	NUM
fis-13	1	5	art	art	NOUN
fis-13	1	6	2	2	NUM
fis-13	1	7	finale.doc	finale.doc	PROPN
fis-13	1	8	al	al	PROPN
fis-13	1	9	.	.	PROPN
fis-13	1	10	carpinteri	carpinteri	PROPN
fis-13	1	11	et	et	PROPN
fis-13	1	12	al	al	PROPN
fis-13	1	13	.	.	PROPN
fis-13	1	14	,	,	PUNCT
fis-13	1	15	frattura	frattura	PROPN
fis-13	1	16	ed	ed	PROPN
fis-13	1	17	integrità	integrità	PROPN
fis-13	1	18	strutturale	strutturale	PROPN
fis-13	1	19	,	,	PUNCT
fis-13	1	20	2	2	NUM
fis-13	1	21	(	(	PUNCT
fis-13	1	22	2007	2007	NUM
fis-13	1	23	)	)	PUNCT
fis-13	1	24	10	10	NUM
fis-13	1	25	-	-	SYM
fis-13	1	26	16	16	NUM
fis-13	1	27	;	;	PUNCT
fis-13	1	28	doi	doi	NOUN
fis-13	1	29	:	:	PUNCT
fis-13	1	30	10.3221	10.3221	NUM
fis-13	1	31	/	/	SYM
fis-13	1	32	igf	igf	PROPN
fis-13	1	33	-	-	PUNCT
fis-13	1	34	esis.02.02	esis.02.02	ADJ
fis-13	1	35	10	10	NUM
fis-13	1	36	1	1	NUM
fis-13	1	37	introduction	introduction	NOUN
fis-13	1	38	fatigue	fatigue	NOUN
fis-13	1	39	crack	crack	VERB
fis-13	1	40	growth	growth	NOUN
fis-13	1	41	data	datum	NOUN
fis-13	1	42	for	for	ADP
fis-13	1	43	ductile	ductile	NOUN
fis-13	1	44	materials	material	NOUN
fis-13	1	45	are	be	AUX
fis-13	1	46	usually	usually	ADV
fis-13	1	47	presented	present	VERB
fis-13	1	48	in	in	ADP
fis-13	1	49	terms	term	NOUN
fis-13	1	50	of	of	ADP
fis-13	1	51	the	the	DET
fis-13	1	52	crack	crack	NOUN
fis-13	1	53	growth	growth	NOUN
fis-13	1	54	rate	rate	NOUN
fis-13	1	55	,	,	PUNCT
fis-13	1	56	da	da	NOUN
fis-13	1	57	/	/	SYM
fis-13	1	58	dn	dn	NOUN
fis-13	1	59	,	,	PUNCT
fis-13	1	60	and	and	CCONJ
fis-13	1	61	the	the	DET
fis-13	1	62	stress	stress	NOUN
fis-13	1	63	-	-	PUNCT
fis-13	1	64	intensity	intensity	NOUN
fis-13	1	65	factor	factor	NOUN
fis-13	1	66	range	range	NOUN
fis-13	1	67	,	,	PUNCT
fis-13	1	68	(	(	PUNCT
fis-13	1	69	)	)	PUNCT
fis-13	1	70	max	max	PROPN
fis-13	1	71	mink	mink	NOUN
fis-13	2	1	k	k	PROPN
fis-13	2	2	kδ	kδ	NOUN
fis-13	2	3	=	=	SYM
fis-13	2	4	−	−	PROPN
fis-13	2	5	.	.	PUNCT
fis-13	3	1	at	at	ADP
fis-13	3	2	present	present	ADJ
fis-13	3	3	,	,	PUNCT
fis-13	3	4	it	it	PRON
fis-13	3	5	is	be	AUX
fis-13	3	6	a	a	DET
fis-13	3	7	common	common	ADJ
fis-13	3	8	practice	practice	NOUN
fis-13	3	9	to	to	PART
fis-13	3	10	describe	describe	VERB
fis-13	3	11	the	the	DET
fis-13	3	12	process	process	NOUN
fis-13	3	13	of	of	ADP
fis-13	3	14	fatigue	fatigue	NOUN
fis-13	3	15	crack	crack	VERB
fis-13	3	16	growth	growth	NOUN
fis-13	3	17	by	by	ADP
fis-13	3	18	a	a	DET
fis-13	3	19	logarithmic	logarithmic	ADJ
fis-13	3	20	d	d	PROPN
fis-13	3	21	/	/	SYM
fis-13	3	22	da	da	PROPN
fis-13	3	23	n	n	ADV
fis-13	3	24	vs.	vs.	ADP
fis-13	3	25	kδ	kδ	PROPN
fis-13	3	26	diagram	diagram	NOUN
fis-13	3	27	(	(	PUNCT
fis-13	3	28	see	see	VERB
fis-13	3	29	e.g.	e.g.	ADV
fis-13	3	30	fig	fig	NOUN
fis-13	3	31	.	.	PUNCT
fis-13	4	1	1	1	NUM
fis-13	4	2	)	)	PUNCT
fis-13	4	3	.	.	PUNCT
fis-13	5	1	three	three	NUM
fis-13	5	2	regions	region	NOUN
fis-13	5	3	are	be	AUX
fis-13	5	4	generally	generally	ADV
fis-13	5	5	recognized	recognize	VERB
fis-13	5	6	on	on	ADP
fis-13	5	7	this	this	DET
fis-13	5	8	diagram	diagram	NOUN
fis-13	5	9	for	for	ADP
fis-13	5	10	a	a	DET
fis-13	5	11	wide	wide	ADJ
fis-13	5	12	collection	collection	NOUN
fis-13	5	13	of	of	ADP
fis-13	5	14	experimental	experimental	ADJ
fis-13	5	15	results	result	NOUN
fis-13	5	16	[	[	X
fis-13	5	17	1	1	NUM
fis-13	5	18	]	]	PUNCT
fis-13	5	19	.	.	PUNCT
fis-13	6	1	the	the	DET
fis-13	6	2	first	first	ADJ
fis-13	6	3	region	region	NOUN
fis-13	6	4	corresponds	correspond	VERB
fis-13	6	5	to	to	ADP
fis-13	6	6	stress	stress	NOUN
fis-13	6	7	-	-	PUNCT
fis-13	6	8	intensity	intensity	NOUN
fis-13	6	9	factor	factor	NOUN
fis-13	6	10	ranges	range	VERB
fis-13	6	11	near	near	ADP
fis-13	6	12	a	a	DET
fis-13	6	13	lower	low	ADJ
fis-13	6	14	threshold	threshold	NOUN
fis-13	6	15	value	value	NOUN
fis-13	6	16	,	,	PUNCT
fis-13	6	17	thkδ	thkδ	NOUN
fis-13	6	18	,	,	PUNCT
fis-13	6	19	below	below	ADP
fis-13	6	20	which	which	PRON
fis-13	6	21	no	no	DET
fis-13	6	22	crack	crack	NOUN
fis-13	6	23	propagation	propagation	NOUN
fis-13	6	24	takes	take	VERB
fis-13	6	25	place	place	NOUN
fis-13	6	26	.	.	PUNCT
fis-13	7	1	this	this	DET
fis-13	7	2	region	region	NOUN
fis-13	7	3	of	of	ADP
fis-13	7	4	the	the	DET
fis-13	7	5	diagram	diagram	NOUN
fis-13	7	6	is	be	AUX
fis-13	7	7	usually	usually	ADV
fis-13	7	8	referred	refer	VERB
fis-13	7	9	to	to	ADP
fis-13	7	10	as	as	ADP
fis-13	7	11	region	region	NOUN
fis-13	7	12	i	i	PRON
fis-13	7	13	,	,	PUNCT
fis-13	7	14	or	or	CCONJ
fis-13	7	15	the	the	DET
fis-13	7	16	near	near	ADJ
fis-13	7	17	-	-	PUNCT
fis-13	7	18	threshold	threshold	NOUN
fis-13	7	19	region	region	NOUN
fis-13	7	20	[	[	X
fis-13	7	21	2	2	NUM
fis-13	7	22	]	]	PUNCT
fis-13	7	23	.	.	PUNCT
fis-13	8	1	the	the	DET
fis-13	8	2	second	second	ADJ
fis-13	8	3	linear	linear	ADJ
fis-13	8	4	portion	portion	NOUN
fis-13	8	5	of	of	ADP
fis-13	8	6	the	the	DET
fis-13	8	7	diagram	diagram	NOUN
fis-13	8	8	defines	define	VERB
fis-13	8	9	a	a	DET
fis-13	8	10	power	power	NOUN
fis-13	8	11	-	-	PUNCT
fis-13	8	12	law	law	NOUN
fis-13	8	13	relationship	relationship	NOUN
fis-13	8	14	between	between	ADP
fis-13	8	15	the	the	DET
fis-13	8	16	crack	crack	NOUN
fis-13	8	17	growth	growth	NOUN
fis-13	8	18	rate	rate	NOUN
fis-13	8	19	and	and	CCONJ
fis-13	8	20	the	the	DET
fis-13	8	21	stress	stress	NOUN
fis-13	8	22	-	-	PUNCT
fis-13	8	23	intensity	intensity	NOUN
fis-13	8	24	factor	factor	NOUN
fis-13	8	25	range	range	NOUN
fis-13	8	26	and	and	CCONJ
fis-13	8	27	is	be	AUX
fis-13	8	28	usually	usually	ADV
fis-13	8	29	referred	refer	VERB
fis-13	8	30	to	to	ADP
fis-13	8	31	as	as	ADP
fis-13	8	32	region	region	NOUN
fis-13	8	33	ii	ii	PROPN
fis-13	9	1	[	[	X
fis-13	9	2	3	3	NUM
fis-13	9	3	]	]	PUNCT
fis-13	9	4	.	.	PUNCT
fis-13	10	1	finally	finally	ADV
fis-13	10	2	,	,	PUNCT
fis-13	10	3	when	when	SCONJ
fis-13	10	4	maxk	maxk	NOUN
fis-13	10	5	tends	tend	VERB
fis-13	10	6	to	to	ADP
fis-13	10	7	the	the	DET
fis-13	10	8	critical	critical	ADJ
fis-13	10	9	stress	stress	NOUN
fis-13	10	10	-	-	PUNCT
fis-13	10	11	intensity	intensity	NOUN
fis-13	10	12	factor	factor	NOUN
fis-13	10	13	,	,	PUNCT
fis-13	10	14	ick	ick	INTJ
fis-13	10	15	,	,	PUNCT
fis-13	10	16	rapid	rapid	ADJ
fis-13	10	17	crack	crack	NOUN
fis-13	10	18	propagation	propagation	NOUN
fis-13	10	19	takes	take	VERB
fis-13	10	20	place	place	NOUN
fis-13	10	21	and	and	CCONJ
fis-13	10	22	crack	crack	VERB
fis-13	10	23	growth	growth	NOUN
fis-13	10	24	instability	instability	NOUN
fis-13	10	25	occurs	occur	VERB
fis-13	10	26	(	(	PUNCT
fis-13	10	27	region	region	NOUN
fis-13	10	28	iii	iii	NOUN
fis-13	10	29	)	)	PUNCT
fis-13	11	1	[	[	X
fis-13	11	2	4	4	NUM
fis-13	11	3	]	]	PUNCT
fis-13	11	4	.	.	PUNCT
fis-13	12	1	in	in	ADP
fis-13	12	2	region	region	PROPN
fis-13	12	3	ii	ii	PROPN
fis-13	12	4	the	the	DET
fis-13	12	5	paris	paris	PROPN
fis-13	12	6	’	'	PUNCT
fis-13	12	7	equation	equation	NOUN
fis-13	12	8	[	[	X
fis-13	12	9	5,6	5,6	NUM
fis-13	12	10	]	]	PUNCT
fis-13	12	11	provides	provide	VERB
fis-13	12	12	a	a	DET
fis-13	12	13	good	good	ADJ
fis-13	12	14	approximation	approximation	NOUN
fis-13	12	15	to	to	ADP
fis-13	12	16	the	the	DET
fis-13	12	17	majority	majority	NOUN
fis-13	12	18	of	of	ADP
fis-13	12	19	experimental	experimental	ADJ
fis-13	12	20	data	datum	NOUN
fis-13	12	21	:	:	PUNCT
fis-13	12	22	d	d	X
fis-13	12	23	(	(	PUNCT
fis-13	12	24	)	)	PUNCT
fis-13	12	25	d	d	X
fis-13	12	26	ma	ma	PROPN
fis-13	12	27	c	c	PROPN
fis-13	12	28	k	k	PROPN
fis-13	12	29	n	n	PROPN
fis-13	12	30	=	=	PROPN
fis-13	12	31	δ	δ	PROPN
fis-13	12	32	(	(	PUNCT
fis-13	12	33	1	1	NUM
fis-13	12	34	)	)	PUNCT
fis-13	12	35	where	where	SCONJ
fis-13	12	36	c	c	NOUN
fis-13	12	37	and	and	CCONJ
fis-13	12	38	m	m	PROPN
fis-13	12	39	are	be	AUX
fis-13	12	40	empirical	empirical	ADJ
fis-13	12	41	constants	constant	NOUN
fis-13	12	42	usually	usually	ADV
fis-13	12	43	referred	refer	VERB
fis-13	12	44	to	to	ADP
fis-13	12	45	as	as	ADP
fis-13	12	46	paris	paris	PROPN
fis-13	12	47	’	'	PUNCT
fis-13	12	48	law	law	NOUN
fis-13	12	49	parameters	parameter	NOUN
fis-13	12	50	.	.	PUNCT
fis-13	13	1	from	from	ADP
fis-13	13	2	the	the	DET
fis-13	13	3	early	early	ADJ
fis-13	13	4	60	60	NUM
fis-13	13	5	’s	’s	NOUN
fis-13	13	6	,	,	PUNCT
fis-13	13	7	research	research	NOUN
fis-13	13	8	studies	study	NOUN
fis-13	13	9	have	have	AUX
fis-13	13	10	been	be	AUX
fis-13	13	11	focused	focus	VERB
fis-13	13	12	on	on	ADP
fis-13	13	13	the	the	DET
fis-13	13	14	nature	nature	NOUN
fis-13	13	15	of	of	ADP
fis-13	13	16	the	the	DET
fis-13	13	17	paris	paris	PROPN
fis-13	13	18	’	'	PUNCT
fis-13	13	19	law	law	NOUN
fis-13	13	20	parameters	parameter	NOUN
fis-13	13	21	,	,	PUNCT
fis-13	13	22	demonstrating	demonstrate	VERB
fis-13	13	23	that	that	SCONJ
fis-13	13	24	c	c	PROPN
fis-13	13	25	and	and	CCONJ
fis-13	13	26	m	m	PROPN
fis-13	13	27	can	can	AUX
fis-13	13	28	not	not	PART
fis-13	13	29	be	be	AUX
fis-13	13	30	considered	consider	VERB
fis-13	13	31	as	as	ADP
fis-13	13	32	material	material	NOUN
fis-13	13	33	constants	constant	NOUN
fis-13	13	34	.	.	PUNCT
fis-13	14	1	in	in	ADP
fis-13	14	2	fact	fact	NOUN
fis-13	14	3	,	,	PUNCT
fis-13	14	4	they	they	PRON
fis-13	14	5	depend	depend	VERB
fis-13	14	6	on	on	ADP
fis-13	14	7	the	the	DET
fis-13	14	8	testing	testing	NOUN
fis-13	14	9	conditions	condition	NOUN
fis-13	14	10	,	,	PUNCT
fis-13	14	11	such	such	ADJ
fis-13	14	12	as	as	ADP
fis-13	14	13	the	the	DET
fis-13	14	14	loading	loading	NOUN
fis-13	14	15	ratio	ratio	NOUN
fis-13	14	16	min	min	PROPN
fis-13	14	17	max	max	PROPN
fis-13	14	18	min	min	PROPN
fis-13	14	19	max/	max/	PROPN
fis-13	14	20	/r	/r	PUNCT
fis-13	15	1	k	k	PROPN
fis-13	15	2	kσ	kσ	PROPN
fis-13	15	3	σ=	σ=	NOUN
fis-13	15	4	=	=	PUNCT
fis-13	16	1	[	[	X
fis-13	16	2	7	7	NUM
fis-13	16	3	]	]	PUNCT
fis-13	16	4	,	,	PUNCT
fis-13	16	5	on	on	ADP
fis-13	16	6	the	the	DET
fis-13	16	7	geometry	geometry	NOUN
fis-13	16	8	and	and	CCONJ
fis-13	16	9	size	size	NOUN
fis-13	16	10	of	of	ADP
fis-13	16	11	the	the	DET
fis-13	16	12	specimen	speciman	NOUN
fis-13	16	13	[	[	X
fis-13	16	14	8	8	NUM
fis-13	16	15	,	,	PUNCT
fis-13	16	16	9	9	NUM
fis-13	16	17	]	]	PUNCT
fis-13	16	18	and	and	CCONJ
fis-13	16	19	,	,	PUNCT
fis-13	16	20	as	as	SCONJ
fis-13	16	21	pointed	point	VERB
fis-13	16	22	out	out	ADP
fis-13	16	23	very	very	ADV
fis-13	16	24	recently	recently	ADV
fis-13	16	25	,	,	PUNCT
fis-13	16	26	on	on	ADP
fis-13	16	27	the	the	DET
fis-13	16	28	initial	initial	ADJ
fis-13	16	29	crack	crack	NOUN
fis-13	16	30	length	length	NOUN
fis-13	17	1	[	[	X
fis-13	17	2	10	10	NUM
fis-13	17	3	]	]	PUNCT
fis-13	17	4	.	.	PUNCT
fis-13	18	1	however	however	ADV
fis-13	18	2	,	,	PUNCT
fis-13	18	3	an	an	DET
fis-13	18	4	important	important	ADJ
fis-13	18	5	question	question	NOUN
fis-13	18	6	regarding	regard	VERB
fis-13	18	7	the	the	DET
fis-13	18	8	paris	paris	PROPN
fis-13	18	9	’	'	PUNCT
fis-13	18	10	law	law	NOUN
fis-13	18	11	parameters	parameter	NOUN
fis-13	18	12	still	still	ADV
fis-13	18	13	remains	remain	VERB
fis-13	18	14	to	to	PART
fis-13	18	15	be	be	AUX
fis-13	18	16	answered	answer	VERB
fis-13	18	17	:	:	PUNCT
fis-13	18	18	are	be	AUX
fis-13	18	19	c	c	NOUN
fis-13	18	20	and	and	CCONJ
fis-13	18	21	m	m	PRON
fis-13	18	22	independent	independent	ADJ
fis-13	18	23	of	of	ADP
fis-13	18	24	each	each	DET
fis-13	18	25	other	other	ADJ
fis-13	18	26	or	or	CCONJ
fis-13	18	27	is	be	AUX
fis-13	18	28	it	it	PRON
fis-13	18	29	possible	possible	ADJ
fis-13	18	30	to	to	PART
fis-13	18	31	find	find	VERB
fis-13	18	32	a	a	DET
fis-13	18	33	correlation	correlation	NOUN
fis-13	18	34	between	between	ADP
fis-13	18	35	them	they	PRON
fis-13	18	36	based	base	VERB
fis-13	18	37	on	on	ADP
fis-13	18	38	theoretical	theoretical	ADJ
fis-13	18	39	considerations	consideration	NOUN
fis-13	18	40	?	?	PUNCT
fis-13	19	1	concerning	concern	VERB
fis-13	19	2	this	this	DET
fis-13	19	3	point	point	NOUN
fis-13	19	4	,	,	PUNCT
fis-13	19	5	it	it	PRON
fis-13	19	6	is	be	AUX
fis-13	19	7	important	important	ADJ
fis-13	19	8	to	to	PART
fis-13	19	9	take	take	VERB
fis-13	19	10	note	note	NOUN
fis-13	19	11	of	of	ADP
fis-13	19	12	the	the	DET
fis-13	19	13	controversy	controversy	NOUN
fis-13	19	14	in	in	ADP
fis-13	19	15	the	the	DET
fis-13	19	16	literature	literature	NOUN
fis-13	19	17	about	about	ADP
fis-13	19	18	the	the	DET
fis-13	19	19	existence	existence	NOUN
fis-13	19	20	of	of	ADP
fis-13	19	21	a	a	DET
fis-13	19	22	correlation	correlation	NOUN
fis-13	19	23	between	between	ADP
fis-13	19	24	c	c	NOUN
fis-13	19	25	and	and	CCONJ
fis-13	19	26	m.	m.	NOUN
fis-13	19	27	for	for	ADP
fis-13	19	28	instance	instance	NOUN
fis-13	19	29	,	,	PUNCT
fis-13	19	30	cortie	cortie	NOUN
fis-13	20	1	[	[	X
fis-13	20	2	11	11	NUM
fis-13	20	3	]	]	PUNCT
fis-13	20	4	stated	state	VERB
fis-13	20	5	that	that	SCONJ
fis-13	20	6	the	the	DET
fis-13	20	7	correlation	correlation	NOUN
fis-13	20	8	is	be	AUX
fis-13	20	9	formal	formal	ADJ
fis-13	20	10	with	with	ADP
fis-13	20	11	a	a	DET
fis-13	20	12	little	little	ADJ
fis-13	20	13	physical	physical	ADJ
fis-13	20	14	relevance	relevance	NOUN
fis-13	20	15	,	,	PUNCT
fis-13	20	16	and	and	CCONJ
fis-13	20	17	the	the	DET
fis-13	20	18	high	high	ADJ
fis-13	20	19	coefficient	coefficient	NOUN
fis-13	20	20	of	of	ADP
fis-13	20	21	correlation	correlation	NOUN
fis-13	20	22	between	between	ADP
fis-13	20	23	c	c	PROPN
fis-13	20	24	and	and	CCONJ
fis-13	20	25	m	m	PROPN
fis-13	20	26	is	be	AUX
fis-13	20	27	due	due	ADJ
fis-13	20	28	to	to	ADP
fis-13	20	29	the	the	DET
fis-13	20	30	logarithmic	logarithmic	ADJ
fis-13	20	31	data	datum	NOUN
fis-13	20	32	representation	representation	NOUN
fis-13	20	33	.	.	PUNCT
fis-13	21	1	similar	similar	ADJ
fis-13	21	2	arguments	argument	NOUN
fis-13	21	3	were	be	AUX
fis-13	21	4	proposed	propose	VERB
fis-13	21	5	in	in	ADP
fis-13	21	6	[	[	X
fis-13	21	7	12	12	NUM
fis-13	21	8	]	]	PUNCT
fis-13	21	9	,	,	PUNCT
fis-13	21	10	where	where	SCONJ
fis-13	21	11	a	a	DET
fis-13	21	12	correlation	correlation	NOUN
fis-13	21	13	-	-	PUNCT
fis-13	21	14	free	free	ADJ
fis-13	21	15	representation	representation	NOUN
fis-13	21	16	was	be	AUX
fis-13	21	17	presented	present	VERB
fis-13	21	18	.	.	PUNCT
fis-13	22	1	on	on	ADP
fis-13	22	2	the	the	DET
fis-13	22	3	other	other	ADJ
fis-13	22	4	hand	hand	NOUN
fis-13	22	5	,	,	PUNCT
fis-13	22	6	a	a	DET
fis-13	22	7	very	very	ADV
fis-13	22	8	consistent	consistent	ADJ
fis-13	22	9	empirical	empirical	ADJ
fis-13	22	10	relationship	relationship	NOUN
fis-13	22	11	between	between	ADP
fis-13	22	12	the	the	DET
fis-13	22	13	paris	paris	PROPN
fis-13	22	14	’	'	PUNCT
fis-13	22	15	law	law	NOUN
fis-13	22	16	parameters	parameter	NOUN
fis-13	22	17	was	be	AUX
fis-13	22	18	found	find	VERB
fis-13	22	19	by	by	ADP
fis-13	22	20	several	several	ADJ
fis-13	22	21	authors	author	NOUN
fis-13	22	22	[	[	X
fis-13	22	23	13	13	NUM
fis-13	22	24	,	,	PUNCT
fis-13	22	25	14	14	NUM
fis-13	22	26	]	]	PUNCT
fis-13	22	27	and	and	CCONJ
fis-13	22	28	supported	support	VERB
fis-13	22	29	by	by	ADP
fis-13	22	30	experimental	experimental	ADJ
fis-13	22	31	results	result	NOUN
fis-13	22	32	[	[	X
fis-13	22	33	3	3	NUM
fis-13	22	34	,	,	PUNCT
fis-13	22	35	13	13	NUM
fis-13	22	36	,	,	PUNCT
fis-13	22	37	15–18	15–18	NUM
fis-13	22	38	]	]	PUNCT
fis-13	22	39	.	.	PUNCT
fis-13	23	1	in	in	ADP
fis-13	23	2	this	this	DET
fis-13	23	3	paper	paper	NOUN
fis-13	23	4	,	,	PUNCT
fis-13	23	5	the	the	DET
fis-13	23	6	correlation	correlation	NOUN
fis-13	23	7	existing	exist	VERB
fis-13	23	8	between	between	ADP
fis-13	23	9	the	the	DET
fis-13	23	10	paris	paris	PROPN
fis-13	23	11	’	'	PUNCT
fis-13	23	12	law	law	NOUN
fis-13	23	13	parameters	parameter	NOUN
fis-13	23	14	is	be	AUX
fis-13	23	15	derived	derive	VERB
fis-13	23	16	on	on	ADP
fis-13	23	17	the	the	DET
fis-13	23	18	basis	basis	NOUN
fis-13	23	19	of	of	ADP
fis-13	23	20	theoretical	theoretical	ADJ
fis-13	23	21	arguments	argument	NOUN
fis-13	23	22	.	.	PUNCT
fis-13	24	1	to	to	ADP
fis-13	24	2	this	this	DET
fis-13	24	3	aim	aim	NOUN
fis-13	24	4	,	,	PUNCT
fis-13	24	5	both	both	DET
fis-13	24	6	self	self	NOUN
fis-13	24	7	-	-	PUNCT
fis-13	24	8	similarity	similarity	NOUN
fis-13	24	9	concepts	concept	NOUN
fis-13	24	10	[	[	X
fis-13	24	11	9	9	NUM
fis-13	24	12	]	]	PUNCT
fis-13	24	13	and	and	CCONJ
fis-13	24	14	the	the	DET
fis-13	24	15	condition	condition	NOUN
fis-13	24	16	that	that	SCONJ
fis-13	24	17	the	the	DET
fis-13	24	18	paris	paris	PROPN
fis-13	24	19	’	'	PUNCT
fis-13	24	20	law	law	NOUN
fis-13	24	21	instability	instability	NOUN
fis-13	24	22	corresponds	correspond	VERB
fis-13	24	23	to	to	ADP
fis-13	24	24	the	the	DET
fis-13	24	25	griffith	griffith	PROPN
fis-13	24	26	-	-	PUNCT
fis-13	24	27	irwin	irwin	PROPN
fis-13	24	28	instability	instability	NOUN
fis-13	24	29	at	at	ADP
fis-13	24	30	the	the	DET
fis-13	24	31	onset	onset	NOUN
fis-13	24	32	of	of	ADP
fis-13	24	33	rapid	rapid	ADJ
fis-13	24	34	crack	crack	NOUN
fis-13	24	35	growth	growth	NOUN
fis-13	24	36	are	be	AUX
fis-13	24	37	profitably	profitably	ADV
fis-13	24	38	used	use	VERB
fis-13	24	39	.	.	PUNCT
fis-13	25	1	comparing	compare	VERB
fis-13	25	2	the	the	DET
fis-13	25	3	functional	functional	ADJ
fis-13	25	4	expressions	expression	NOUN
fis-13	25	5	derived	derive	VERB
fis-13	25	6	according	accord	VERB
fis-13	25	7	to	to	ADP
fis-13	25	8	these	these	DET
fis-13	25	9	two	two	NUM
fis-13	25	10	inare	inare	ADJ
fis-13	25	11	the	the	DET
fis-13	25	12	paris	paris	PROPN
fis-13	25	13	’	'	PUNCT
fis-13	25	14	law	law	NOUN
fis-13	25	15	parameters	parameter	NOUN
fis-13	25	16	dependent	dependent	ADJ
fis-13	25	17	on	on	ADP
fis-13	25	18	each	each	DET
fis-13	25	19	other	other	ADJ
fis-13	25	20	?	?	PUNCT
fis-13	26	1	alberto	alberto	PROPN
fis-13	26	2	carpinteri	carpinteri	PROPN
fis-13	26	3	,	,	PUNCT
fis-13	26	4	marco	marco	PROPN
fis-13	26	5	paggi	paggi	PROPN
fis-13	26	6	politecnico	politecnico	PROPN
fis-13	26	7	di	di	PROPN
fis-13	26	8	torino	torino	PROPN
fis-13	26	9	,	,	PUNCT
fis-13	26	10	dipartimento	dipartimento	ADP
fis-13	26	11	di	di	NOUN
fis-13	26	12	ingegneria	ingegneria	PROPN
fis-13	26	13	strutturale	strutturale	PROPN
fis-13	26	14	e	e	PROPN
fis-13	26	15	geotecnica	geotecnica	PROPN
fis-13	26	16	,	,	PUNCT
fis-13	26	17	corso	corso	PROPN
fis-13	26	18	duca	duca	PROPN
fis-13	26	19	degli	degli	PROPN
fis-13	26	20	abruzzi	abruzzi	PROPN
fis-13	26	21	24	24	NUM
fis-13	26	22	,	,	PUNCT
fis-13	26	23	10129	10129	NUM
fis-13	26	24	torino	torino	NOUN
fis-13	26	25	,	,	PUNCT
fis-13	26	26	italy	italy	PROPN
fis-13	26	27	riassunto	riassunto	PROPN
fis-13	26	28	.	.	PROPN
fis-13	27	1	nel	nel	PROPN
fis-13	27	2	presente	presente	PROPN
fis-13	27	3	articolo	articolo	PROPN
fis-13	27	4	si	si	PROPN
fis-13	27	5	riesamina	riesamina	PROPN
fis-13	27	6	la	la	PROPN
fis-13	27	7	questione	questione	PROPN
fis-13	27	8	relativa	relativa	PROPN
fis-13	27	9	all’esistenza	all’esistenza	PROPN
fis-13	27	10	di	di	PROPN
fis-13	27	11	una	una	PROPN
fis-13	27	12	correlazione	correlazione	PROPN
fis-13	27	13	tra	tra	PROPN
fis-13	28	1	i	i	PRON
fis-13	28	2	parametri	parametri	VERB
fis-13	28	3	c	c	PROPN
fis-13	28	4	ed	ed	PROPN
fis-13	28	5	m	m	PROPN
fis-13	28	6	della	della	PROPN
fis-13	28	7	legge	legge	PROPN
fis-13	28	8	di	di	PROPN
fis-13	28	9	paris	paris	PROPN
fis-13	28	10	.	.	PUNCT
fis-13	29	1	in	in	ADP
fis-13	29	2	base	base	NOUN
fis-13	29	3	all’analisi	all’analisi	VERB
fis-13	29	4	dimensionale	dimensionale	NOUN
fis-13	29	5	ed	ed	NOUN
fis-13	29	6	ai	ai	VERB
fis-13	29	7	concetti	concetti	PROPN
fis-13	29	8	di	di	X
fis-13	29	9	autosomiglianza	autosomiglianza	PROPN
fis-13	29	10	incompleta	incompleta	PROPN
fis-13	29	11	applicati	applicati	PROPN
fis-13	29	12	alla	alla	PUNCT
fis-13	29	13	fase	fase	X
fis-13	29	14	lineare	lineare	PROPN
fis-13	29	15	della	della	PROPN
fis-13	29	16	propagazione	propagazione	PROPN
fis-13	29	17	della	della	PROPN
fis-13	29	18	frattura	frattura	NOUN
fis-13	29	19	per	per	ADP
fis-13	29	20	fatica	fatica	PROPN
fis-13	29	21	,	,	PUNCT
fis-13	29	22	si	si	PROPN
fis-13	29	23	propone	propone	PROPN
fis-13	29	24	una	una	PROPN
fis-13	29	25	rappresentazione	rappresentazione	PROPN
fis-13	29	26	asintotica	asintotica	PROPN
fis-13	29	27	che	che	PROPN
fis-13	29	28	mette	mette	PROPN
fis-13	29	29	in	in	ADP
fis-13	29	30	relazione	relazione	PROPN
fis-13	29	31	il	il	PROPN
fis-13	29	32	parametro	parametro	PROPN
fis-13	29	33	c	c	PROPN
fis-13	29	34	ad	ad	NOUN
fis-13	29	35	m	m	NOUN
fis-13	29	36	ed	ed	NOUN
fis-13	29	37	alle	alle	PROPN
fis-13	29	38	altre	altre	PROPN
fis-13	29	39	variabili	variabili	PROPN
fis-13	29	40	che	che	PROPN
fis-13	29	41	governano	governano	PROPN
fis-13	29	42	il	il	PROPN
fis-13	29	43	fenomeno	fenomeno	PROPN
fis-13	29	44	in	in	ADP
fis-13	29	45	oggetto	oggetto	PROPN
fis-13	29	46	.	.	PUNCT
fis-13	30	1	gli	gli	PROPN
fis-13	30	2	esponenti	esponenti	PROPN
fis-13	30	3	della	della	PROPN
fis-13	30	4	correlazione	correlazione	PROPN
fis-13	30	5	vengono	vengono	PROPN
fis-13	30	6	poi	poi	PROPN
fis-13	30	7	determinati	determinati	PROPN
fis-13	30	8	in	in	ADP
fis-13	30	9	base	base	NOUN
fis-13	30	10	alla	alla	PROPN
fis-13	30	11	condizione	condizione	PROPN
fis-13	30	12	che	che	PROPN
fis-13	30	13	l’instabilità	l’instabilità	PROPN
fis-13	30	14	alla	alla	PROPN
fis-13	30	15	griffith	griffith	PROPN
fis-13	30	16	-	-	PUNCT
fis-13	30	17	irwin	irwin	PROPN
fis-13	30	18	debba	debba	PROPN
fis-13	30	19	coincidere	coincidere	ADJ
fis-13	30	20	con	con	PROPN
fis-13	30	21	l’instabilità	l’instabilità	PROPN
fis-13	30	22	alla	alla	PROPN
fis-13	30	23	paris	paris	PROPN
fis-13	30	24	nel	nel	PROPN
fis-13	30	25	punto	punto	PROPN
fis-13	30	26	di	di	PROPN
fis-13	30	27	transizione	transizione	PROPN
fis-13	30	28	tra	tra	PROPN
fis-13	30	29	la	la	PROPN
fis-13	30	30	propagazione	propagazione	PROPN
fis-13	30	31	sub	sub	PROPN
fis-13	30	32	-	-	NOUN
fis-13	30	33	critica	critica	PROPN
fis-13	30	34	e	e	PROPN
fis-13	30	35	quella	quella	PROPN
fis-13	30	36	critica	critica	PROPN
fis-13	30	37	.	.	PUNCT
fis-13	31	1	si	si	PROPN
fis-13	31	2	riscontra	riscontra	PROPN
fis-13	31	3	infine	infine	PROPN
fis-13	31	4	un	un	PROPN
fis-13	31	5	ottimo	ottimo	PROPN
fis-13	31	6	accordo	accordo	PROPN
fis-13	31	7	tra	tra	PROPN
fis-13	31	8	la	la	PROPN
fis-13	31	9	correlazione	correlazione	PROPN
fis-13	31	10	proposta	proposta	X
fis-13	31	11	e	e	X
fis-13	31	12	l’evidenza	l’evidenza	PROPN
fis-13	31	13	sperimentale	sperimentale	NOUN
fis-13	31	14	relativamente	relativamente	NOUN
fis-13	31	15	alle	alle	PROPN
fis-13	31	16	leghe	leghe	PROPN
fis-13	31	17	di	di	PROPN
fis-13	31	18	alluminio	alluminio	PROPN
fis-13	31	19	,	,	PUNCT
fis-13	31	20	titanio	titanio	PROPN
fis-13	31	21	ed	ed	PROPN
fis-13	31	22	acciaio	acciaio	NOUN
fis-13	31	23	.	.	PUNCT
fis-13	32	1	abstract	abstract	ADJ
fis-13	32	2	.	.	PUNCT
fis-13	33	1	the	the	DET
fis-13	33	2	question	question	NOUN
fis-13	33	3	about	about	ADP
fis-13	33	4	the	the	DET
fis-13	33	5	existence	existence	NOUN
fis-13	33	6	of	of	ADP
fis-13	33	7	a	a	DET
fis-13	33	8	correlation	correlation	NOUN
fis-13	33	9	between	between	ADP
fis-13	33	10	the	the	DET
fis-13	33	11	parameters	parameter	NOUN
fis-13	33	12	c	c	PROPN
fis-13	33	13	and	and	CCONJ
fis-13	33	14	m	m	PROPN
fis-13	33	15	of	of	ADP
fis-13	33	16	the	the	DET
fis-13	33	17	paris	paris	PROPN
fis-13	33	18	’	'	PUNCT
fis-13	33	19	law	law	NOUN
fis-13	33	20	is	be	AUX
fis-13	33	21	re	re	VERB
fis-13	33	22	-	-	VERB
fis-13	33	23	examined	examine	VERB
fis-13	33	24	in	in	ADP
fis-13	33	25	this	this	DET
fis-13	33	26	paper	paper	NOUN
fis-13	33	27	.	.	PUNCT
fis-13	34	1	according	accord	VERB
fis-13	34	2	to	to	ADP
fis-13	34	3	dimensional	dimensional	ADJ
fis-13	34	4	analysis	analysis	NOUN
fis-13	34	5	and	and	CCONJ
fis-13	34	6	incomplete	incomplete	ADJ
fis-13	34	7	self	self	NOUN
fis-13	34	8	-	-	PUNCT
fis-13	34	9	similarity	similarity	NOUN
fis-13	34	10	concepts	concept	NOUN
fis-13	34	11	applied	apply	VERB
fis-13	34	12	to	to	ADP
fis-13	34	13	the	the	DET
fis-13	34	14	linear	linear	ADJ
fis-13	34	15	range	range	NOUN
fis-13	34	16	of	of	ADP
fis-13	34	17	fatigue	fatigue	NOUN
fis-13	34	18	crack	crack	NOUN
fis-13	34	19	growth	growth	NOUN
fis-13	34	20	,	,	PUNCT
fis-13	34	21	a	a	DET
fis-13	34	22	power	power	NOUN
fis-13	34	23	-	-	PUNCT
fis-13	34	24	law	law	NOUN
fis-13	34	25	asymptotic	asymptotic	ADJ
fis-13	34	26	representation	representation	NOUN
fis-13	34	27	relating	relate	VERB
fis-13	34	28	the	the	DET
fis-13	34	29	parameter	parameter	NOUN
fis-13	34	30	c	c	PROPN
fis-13	34	31	to	to	ADP
fis-13	34	32	m	m	PROPN
fis-13	34	33	and	and	CCONJ
fis-13	34	34	to	to	ADP
fis-13	34	35	the	the	DET
fis-13	34	36	governing	govern	VERB
fis-13	34	37	variables	variable	NOUN
fis-13	34	38	of	of	ADP
fis-13	34	39	the	the	DET
fis-13	34	40	fatigue	fatigue	NOUN
fis-13	34	41	phenomenon	phenomenon	NOUN
fis-13	34	42	is	be	AUX
fis-13	34	43	derived	derive	VERB
fis-13	34	44	.	.	PUNCT
fis-13	35	1	then	then	ADV
fis-13	35	2	,	,	PUNCT
fis-13	35	3	from	from	ADP
fis-13	35	4	the	the	DET
fis-13	35	5	observation	observation	NOUN
fis-13	35	6	that	that	SCONJ
fis-13	35	7	the	the	DET
fis-13	35	8	griffith	griffith	PROPN
fis-13	35	9	-	-	PUNCT
fis-13	35	10	irwin	irwin	PROPN
fis-13	35	11	instability	instability	NOUN
fis-13	35	12	must	must	AUX
fis-13	35	13	coincide	coincide	VERB
fis-13	35	14	with	with	ADP
fis-13	35	15	the	the	DET
fis-13	35	16	paris	paris	PROPN
fis-13	35	17	’	'	PUNCT
fis-13	35	18	instability	instability	NOUN
fis-13	35	19	at	at	ADP
fis-13	35	20	the	the	DET
fis-13	35	21	onset	onset	NOUN
fis-13	35	22	of	of	ADP
fis-13	35	23	rapid	rapid	ADJ
fis-13	35	24	crack	crack	NOUN
fis-13	35	25	growth	growth	NOUN
fis-13	35	26	,	,	PUNCT
fis-13	35	27	the	the	DET
fis-13	35	28	exponents	exponent	NOUN
fis-13	35	29	entering	enter	VERB
fis-13	35	30	this	this	DET
fis-13	35	31	correlation	correlation	NOUN
fis-13	35	32	are	be	AUX
fis-13	35	33	determined	determine	VERB
fis-13	35	34	.	.	PUNCT
fis-13	36	1	a	a	DET
fis-13	36	2	fair	fair	ADJ
fis-13	36	3	good	good	ADJ
fis-13	36	4	agreement	agreement	NOUN
fis-13	36	5	is	be	AUX
fis-13	36	6	found	find	VERB
fis-13	36	7	between	between	ADP
fis-13	36	8	the	the	DET
fis-13	36	9	proposed	propose	VERB
fis-13	36	10	correlation	correlation	NOUN
fis-13	36	11	and	and	CCONJ
fis-13	36	12	the	the	DET
fis-13	36	13	experimental	experimental	ADJ
fis-13	36	14	data	datum	NOUN
fis-13	36	15	concerning	concern	VERB
fis-13	36	16	aluminium	aluminium	NOUN
fis-13	36	17	,	,	PUNCT
fis-13	36	18	titanium	titanium	NOUN
fis-13	36	19	and	and	CCONJ
fis-13	36	20	steel	steel	NOUN
fis-13	36	21	alloys	alloy	NOUN
fis-13	36	22	.	.	PUNCT
fis-13	37	1	keywords	keyword	NOUN
fis-13	37	2	.	.	PUNCT
fis-13	38	1	fatigue	fatigue	NOUN
fis-13	38	2	crack	crack	NOUN
fis-13	38	3	growth	growth	NOUN
fis-13	38	4	,	,	PUNCT
fis-13	38	5	paris	paris	PROPN
fis-13	38	6	’	'	PUNCT
fis-13	38	7	law	law	NOUN
fis-13	38	8	parameters	parameter	NOUN
fis-13	38	9	,	,	PUNCT
fis-13	38	10	correlation	correlation	NOUN
fis-13	38	11	,	,	PUNCT
fis-13	38	12	dimensional	dimensional	ADJ
fis-13	38	13	analysis	analysis	NOUN
fis-13	38	14	,	,	PUNCT
fis-13	38	15	griffithirwin	griffithirwin	NOUN
fis-13	38	16	instability	instability	NOUN
fis-13	38	17	.	.	PUNCT
fis-13	39	1	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-13	39	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-13	39	3	http://dx.medra.org/10.3221/igf-esis.02.02&auth=true	http://dx.medra.org/10.3221/igf-esis.02.02&auth=true	PROPN
fis-13	39	4	al	al	PROPN
fis-13	39	5	.	.	PROPN
fis-13	39	6	carpinteri	carpinteri	PROPN
fis-13	39	7	et	et	PROPN
fis-13	39	8	al	al	PROPN
fis-13	39	9	.	.	PROPN
fis-13	39	10	,	,	PUNCT
fis-13	39	11	frattura	frattura	PROPN
fis-13	39	12	ed	ed	PROPN
fis-13	39	13	integrità	integrità	PROPN
fis-13	39	14	strutturale	strutturale	PROPN
fis-13	39	15	,	,	PUNCT
fis-13	39	16	2	2	NUM
fis-13	39	17	(	(	PUNCT
fis-13	39	18	2007	2007	NUM
fis-13	39	19	)	)	PUNCT
fis-13	39	20	10	10	NUM
fis-13	39	21	-	-	SYM
fis-13	39	22	16	16	NUM
fis-13	39	23	11	11	NUM
fis-13	39	24	dependent	dependent	ADJ
fis-13	39	25	approaches	approach	NOUN
fis-13	39	26	,	,	PUNCT
fis-13	39	27	a	a	DET
fis-13	39	28	relation	relation	NOUN
fis-13	39	29	between	between	ADP
fis-13	39	30	the	the	DET
fis-13	39	31	paris	paris	PROPN
fis-13	39	32	’	'	PUNCT
fis-13	39	33	law	law	NOUN
fis-13	39	34	parameters	parameter	NOUN
fis-13	39	35	c	c	PROPN
fis-13	39	36	and	and	CCONJ
fis-13	39	37	m	m	PROPN
fis-13	39	38	is	be	AUX
fis-13	39	39	proposed	propose	VERB
fis-13	39	40	.	.	PUNCT
fis-13	40	1	as	as	ADP
fis-13	40	2	a	a	DET
fis-13	40	3	result	result	NOUN
fis-13	40	4	,	,	PUNCT
fis-13	40	5	it	it	PRON
fis-13	40	6	is	be	AUX
fis-13	40	7	shown	show	VERB
fis-13	40	8	that	that	SCONJ
fis-13	40	9	only	only	ADV
fis-13	40	10	one	one	NUM
fis-13	40	11	macroscopic	macroscopic	ADJ
fis-13	40	12	parameter	parameter	NOUN
fis-13	40	13	is	be	AUX
fis-13	40	14	needed	need	VERB
fis-13	40	15	for	for	ADP
fis-13	40	16	the	the	DET
fis-13	40	17	characterization	characterization	NOUN
fis-13	40	18	of	of	ADP
fis-13	40	19	damage	damage	NOUN
fis-13	40	20	during	during	ADP
fis-13	40	21	fatigue	fatigue	NOUN
fis-13	40	22	crack	crack	NOUN
fis-13	40	23	growth	growth	NOUN
fis-13	40	24	.	.	PUNCT
fis-13	41	1	2	2	NUM
fis-13	41	2	correlation	correlation	NOUN
fis-13	41	3	derived	derive	VERB
fis-13	41	4	according	accord	VERB
fis-13	41	5	to	to	ADP
fis-13	41	6	self	self	NOUN
fis-13	41	7	-	-	PUNCT
fis-13	41	8	similarity	similarity	NOUN
fis-13	41	9	concepts	concept	NOUN
fis-13	41	10	according	accord	VERB
fis-13	41	11	to	to	ADP
fis-13	41	12	dimensional	dimensional	ADJ
fis-13	41	13	analysis	analysis	NOUN
fis-13	41	14	,	,	PUNCT
fis-13	41	15	the	the	DET
fis-13	41	16	physical	physical	ADJ
fis-13	41	17	phenomenon	phenomenon	NOUN
fis-13	41	18	under	under	ADP
fis-13	41	19	observation	observation	NOUN
fis-13	41	20	can	can	AUX
fis-13	41	21	be	be	AUX
fis-13	41	22	regarded	regard	VERB
fis-13	41	23	as	as	ADP
fis-13	41	24	a	a	DET
fis-13	41	25	black	black	ADJ
fis-13	41	26	box	box	NOUN
fis-13	41	27	connecting	connect	VERB
fis-13	41	28	the	the	DET
fis-13	41	29	external	external	ADJ
fis-13	41	30	variables	variable	NOUN
fis-13	41	31	(	(	PUNCT
fis-13	41	32	called	call	VERB
fis-13	41	33	input	input	NOUN
fis-13	41	34	or	or	CCONJ
fis-13	41	35	governing	govern	VERB
fis-13	41	36	parameters	parameter	NOUN
fis-13	41	37	)	)	PUNCT
fis-13	41	38	with	with	ADP
fis-13	41	39	the	the	DET
fis-13	41	40	mechanical	mechanical	ADJ
fis-13	41	41	response	response	NOUN
fis-13	41	42	(	(	PUNCT
fis-13	41	43	output	output	NOUN
fis-13	41	44	parameters	parameter	NOUN
fis-13	41	45	)	)	PUNCT
fis-13	41	46	.	.	PUNCT
fis-13	42	1	in	in	ADP
fis-13	42	2	case	case	NOUN
fis-13	42	3	of	of	ADP
fis-13	42	4	fatigue	fatigue	NOUN
fis-13	42	5	crack	crack	VERB
fis-13	42	6	growth	growth	NOUN
fis-13	42	7	in	in	ADP
fis-13	42	8	region	region	PROPN
fis-13	42	9	ii	ii	PROPN
fis-13	42	10	,	,	PUNCT
fis-13	42	11	we	we	PRON
fis-13	42	12	assume	assume	VERB
fis-13	42	13	that	that	SCONJ
fis-13	42	14	the	the	DET
fis-13	42	15	mechanical	mechanical	ADJ
fis-13	42	16	response	response	NOUN
fis-13	42	17	of	of	ADP
fis-13	42	18	the	the	DET
fis-13	42	19	system	system	NOUN
fis-13	42	20	is	be	AUX
fis-13	42	21	fully	fully	ADV
fis-13	42	22	represented	represent	VERB
fis-13	42	23	by	by	ADP
fis-13	42	24	the	the	DET
fis-13	42	25	crack	crack	NOUN
fis-13	42	26	growth	growth	NOUN
fis-13	42	27	rate	rate	NOUN
fis-13	42	28	,	,	PUNCT
fis-13	42	29	0	0	PUNCT
fis-13	43	1	=	=	ADJ
fis-13	43	2	d	d	PROPN
fis-13	43	3	/	/	SYM
fis-13	43	4	dq	dq	PROPN
fis-13	43	5	a	a	DET
fis-13	43	6	n	n	NOUN
fis-13	43	7	,	,	PUNCT
fis-13	43	8	which	which	PRON
fis-13	43	9	is	be	AUX
fis-13	43	10	the	the	DET
fis-13	43	11	parameter	parameter	NOUN
fis-13	43	12	to	to	PART
fis-13	43	13	be	be	AUX
fis-13	43	14	determined	determine	VERB
fis-13	43	15	.	.	PUNCT
fis-13	44	1	this	this	DET
fis-13	44	2	output	output	NOUN
fis-13	44	3	parameter	parameter	NOUN
fis-13	44	4	is	be	AUX
fis-13	44	5	a	a	DET
fis-13	44	6	function	function	NOUN
fis-13	44	7	of	of	ADP
fis-13	44	8	a	a	DET
fis-13	44	9	number	number	NOUN
fis-13	44	10	of	of	ADP
fis-13	44	11	variables	variable	NOUN
fis-13	44	12	:	:	PUNCT
fis-13	44	13	(	(	PUNCT
fis-13	44	14	)	)	PUNCT
fis-13	44	15	0	0	NUM
fis-13	45	1	1	1	NUM
fis-13	45	2	2	2	NUM
fis-13	45	3	1	1	NUM
fis-13	45	4	2	2	NUM
fis-13	45	5	1	1	NUM
fis-13	45	6	2	2	NUM
fis-13	45	7	,	,	PUNCT
fis-13	45	8	,	,	PUNCT
fis-13	45	9	,	,	PUNCT
fis-13	45	10	;	;	PUNCT
fis-13	45	11	,	,	PUNCT
fis-13	45	12	,	,	PUNCT
fis-13	45	13	,	,	PUNCT
fis-13	45	14	;	;	PUNCT
fis-13	45	15	,	,	PUNCT
fis-13	45	16	,	,	PUNCT
fis-13	45	17	,	,	PUNCT
fis-13	45	18	,	,	PUNCT
fis-13	45	19	n	n	X
fis-13	45	20	m	m	VERB
fis-13	45	21	kq	kq	NOUN
fis-13	46	1	f	f	PROPN
fis-13	46	2	q	q	NOUN
fis-13	46	3	q	q	X
fis-13	46	4	q	q	X
fis-13	46	5	s	s	X
fis-13	46	6	s	s	X
fis-13	46	7	s	s	NOUN
fis-13	46	8	r	r	NOUN
fis-13	46	9	r	r	NOUN
fis-13	46	10	r=	r=	NOUN
fis-13	47	1	k	k	NOUN
fis-13	47	2	k	k	PROPN
fis-13	47	3	k	k	X
fis-13	47	4	(	(	PUNCT
fis-13	47	5	2	2	NUM
fis-13	47	6	)	)	PUNCT
fis-13	47	7	where	where	SCONJ
fis-13	47	8	iq	iq	NOUN
fis-13	47	9	are	be	AUX
fis-13	47	10	quantities	quantity	NOUN
fis-13	47	11	with	with	ADP
fis-13	47	12	independent	independent	ADJ
fis-13	47	13	physical	physical	ADJ
fis-13	47	14	dimensions	dimension	NOUN
fis-13	47	15	,	,	PUNCT
fis-13	47	16	i.e.	i.e.	X
fis-13	47	17	none	none	NOUN
fis-13	47	18	of	of	ADP
fis-13	47	19	these	these	DET
fis-13	47	20	quantities	quantity	NOUN
fis-13	47	21	has	have	VERB
fis-13	47	22	a	a	DET
fis-13	47	23	dimension	dimension	NOUN
fis-13	47	24	that	that	PRON
fis-13	47	25	can	can	AUX
fis-13	47	26	be	be	AUX
fis-13	47	27	represented	represent	VERB
fis-13	47	28	in	in	ADP
fis-13	47	29	terms	term	NOUN
fis-13	47	30	of	of	ADP
fis-13	47	31	a	a	DET
fis-13	47	32	product	product	NOUN
fis-13	47	33	of	of	ADP
fis-13	47	34	powers	power	NOUN
fis-13	47	35	of	of	ADP
fis-13	47	36	the	the	DET
fis-13	47	37	dimensions	dimension	NOUN
fis-13	47	38	of	of	ADP
fis-13	47	39	the	the	DET
fis-13	47	40	remaining	remain	VERB
fis-13	47	41	quantities	quantity	NOUN
fis-13	47	42	.	.	PUNCT
fis-13	48	1	parameters	parameter	NOUN
fis-13	48	2	is	be	AUX
fis-13	48	3	are	be	AUX
fis-13	48	4	such	such	ADJ
fis-13	48	5	that	that	SCONJ
fis-13	48	6	their	their	PRON
fis-13	48	7	dimensions	dimension	NOUN
fis-13	48	8	can	can	AUX
fis-13	48	9	be	be	AUX
fis-13	48	10	expressed	express	VERB
fis-13	48	11	as	as	ADP
fis-13	48	12	products	product	NOUN
fis-13	48	13	of	of	ADP
fis-13	48	14	powers	power	NOUN
fis-13	48	15	of	of	ADP
fis-13	48	16	the	the	DET
fis-13	48	17	dimensions	dimension	NOUN
fis-13	48	18	of	of	ADP
fis-13	48	19	the	the	DET
fis-13	48	20	parameters	parameter	NOUN
fis-13	48	21	iq	iq	VERB
fis-13	48	22	.	.	PUNCT
fis-13	49	1	finally	finally	ADV
fis-13	49	2	,	,	PUNCT
fis-13	49	3	parameters	parameter	NOUN
fis-13	49	4	ir	ir	VERB
fis-13	49	5	are	be	AUX
fis-13	49	6	nondimensional	nondimensional	ADJ
fis-13	49	7	quantities	quantity	NOUN
fis-13	49	8	.	.	PUNCT
fis-13	50	1	as	as	SCONJ
fis-13	50	2	regards	regard	VERB
fis-13	50	3	the	the	DET
fis-13	50	4	phenomenon	phenomenon	NOUN
fis-13	50	5	of	of	ADP
fis-13	50	6	fatigue	fatigue	NOUN
fis-13	50	7	crack	crack	NOUN
fis-13	50	8	growth	growth	NOUN
fis-13	50	9	,	,	PUNCT
fis-13	50	10	it	it	PRON
fis-13	50	11	is	be	AUX
fis-13	50	12	possible	possible	ADJ
fis-13	50	13	to	to	PART
fis-13	50	14	consider	consider	VERB
fis-13	50	15	the	the	DET
fis-13	50	16	following	follow	VERB
fis-13	50	17	functional	functional	ADJ
fis-13	50	18	dependence	dependence	NOUN
fis-13	50	19	:	:	PUNCT
fis-13	50	20	(	(	PUNCT
fis-13	50	21	3	3	X
fis-13	50	22	)	)	PUNCT
fis-13	50	23	where	where	SCONJ
fis-13	50	24	the	the	DET
fis-13	50	25	governing	governing	NOUN
fis-13	50	26	variables	variable	NOUN
fis-13	50	27	are	be	AUX
fis-13	50	28	summarized	summarize	VERB
fis-13	50	29	in	in	ADP
fis-13	50	30	tab	tab	NOUN
fis-13	50	31	.	.	PUNCT
fis-13	51	1	1	1	NUM
fis-13	51	2	,	,	PUNCT
fis-13	51	3	along	along	ADP
fis-13	51	4	with	with	ADP
fis-13	51	5	their	their	PRON
fis-13	51	6	physical	physical	ADJ
fis-13	51	7	dimensions	dimension	NOUN
fis-13	51	8	expressed	express	VERB
fis-13	51	9	in	in	ADP
fis-13	51	10	the	the	DET
fis-13	51	11	length	length	NOUN
fis-13	51	12	-	-	PUNCT
fis-13	51	13	force	force	NOUN
fis-13	51	14	-	-	PUNCT
fis-13	51	15	time	time	NOUN
fis-13	51	16	class	class	NOUN
fis-13	51	17	(	(	PUNCT
fis-13	51	18	lft	lft	PROPN
fis-13	51	19	)	)	PUNCT
fis-13	51	20	.	.	PUNCT
fis-13	52	1	from	from	ADP
fis-13	52	2	this	this	DET
fis-13	52	3	list	list	NOUN
fis-13	52	4	it	it	PRON
fis-13	52	5	is	be	AUX
fis-13	52	6	possible	possible	ADJ
fis-13	52	7	to	to	PART
fis-13	52	8	distinguish	distinguish	VERB
fis-13	52	9	between	between	ADP
fis-13	52	10	three	three	NUM
fis-13	52	11	main	main	ADJ
fis-13	52	12	categories	category	NOUN
fis-13	52	13	of	of	ADP
fis-13	52	14	parameters	parameter	NOUN
fis-13	52	15	.	.	PUNCT
fis-13	53	1	the	the	DET
fis-13	53	2	first	first	ADJ
fis-13	53	3	category	category	NOUN
fis-13	53	4	regards	regard	VERB
fis-13	53	5	the	the	DET
fis-13	53	6	material	material	NOUN
fis-13	53	7	parameters	parameter	NOUN
fis-13	53	8	,	,	PUNCT
fis-13	53	9	such	such	ADJ
fis-13	53	10	as	as	ADP
fis-13	53	11	the	the	DET
fis-13	53	12	yield	yield	NOUN
fis-13	53	13	stress	stress	NOUN
fis-13	53	14	,	,	PUNCT
fis-13	53	15	yσ	yσ	PRON
fis-13	53	16	,	,	PUNCT
fis-13	53	17	and	and	CCONJ
fis-13	53	18	the	the	DET
fis-13	53	19	fracture	fracture	NOUN
fis-13	53	20	toughness	toughness	NOUN
fis-13	53	21	,	,	PUNCT
fis-13	53	22	ick	ick	NOUN
fis-13	53	23	.	.	PUNCT
fis-13	54	1	the	the	DET
fis-13	54	2	second	second	ADJ
fis-13	54	3	category	category	NOUN
fis-13	54	4	comprises	comprise	VERB
fis-13	54	5	the	the	DET
fis-13	54	6	variables	variable	NOUN
fis-13	54	7	governing	govern	VERB
fis-13	54	8	the	the	DET
fis-13	54	9	testing	testing	NOUN
fis-13	54	10	conditions	condition	NOUN
fis-13	54	11	,	,	PUNCT
fis-13	54	12	such	such	ADJ
fis-13	54	13	as	as	ADP
fis-13	54	14	the	the	DET
fis-13	54	15	stressintensity	stressintensity	NOUN
fis-13	54	16	factor	factor	NOUN
fis-13	54	17	range	range	NOUN
fis-13	54	18	,	,	PUNCT
fis-13	54	19	kδ	kδ	INTJ
fis-13	54	20	,	,	PUNCT
fis-13	54	21	the	the	DET
fis-13	54	22	loading	loading	NOUN
fis-13	54	23	ratio	ratio	NOUN
fis-13	54	24	,	,	PUNCT
fis-13	54	25	r	r	NOUN
fis-13	54	26	,	,	PUNCT
fis-13	54	27	and	and	CCONJ
fis-13	54	28	the	the	DET
fis-13	54	29	frequency	frequency	NOUN
fis-13	54	30	of	of	ADP
fis-13	54	31	the	the	DET
fis-13	54	32	loading	loading	NOUN
fis-13	54	33	cycle	cycle	NOUN
fis-13	54	34	,	,	PUNCT
fis-13	54	35	ω	ω	NOUN
fis-13	54	36	.	.	PUNCT
fis-13	55	1	concerning	concern	VERB
fis-13	55	2	environmental	environmental	ADJ
fis-13	55	3	conditions	condition	NOUN
fis-13	55	4	and	and	CCONJ
fis-13	55	5	chemical	chemical	NOUN
fis-13	55	6	phenomena	phenomenon	NOUN
fis-13	55	7	,	,	PUNCT
fis-13	55	8	they	they	PRON
fis-13	55	9	are	be	AUX
fis-13	55	10	not	not	PART
fis-13	55	11	considered	consider	VERB
fis-13	55	12	as	as	ADP
fis-13	55	13	primary	primary	ADJ
fis-13	55	14	variables	variable	NOUN
fis-13	55	15	in	in	ADP
fis-13	55	16	this	this	DET
fis-13	55	17	formulation	formulation	NOUN
fis-13	55	18	and	and	CCONJ
fis-13	55	19	variable	variable	ADJ
fis-13	55	20	definition	definition	NOUN
fis-13	55	21	symbol	symbol	NOUN
fis-13	55	22	dimensions	dimension	NOUN
fis-13	55	23	1q	1q	ADJ
fis-13	55	24	tensile	tensile	NOUN
fis-13	55	25	yield	yield	VERB
fis-13	55	26	stress	stress	NOUN
fis-13	55	27	of	of	ADP
fis-13	55	28	the	the	DET
fis-13	55	29	material	material	NOUN
fis-13	55	30	σy	σy	NOUN
fis-13	56	1	fl–2	fl–2	CCONJ
fis-13	56	2	2q	2q	NUM
fis-13	56	3	material	material	NOUN
fis-13	56	4	fracture	fracture	NOUN
fis-13	56	5	toughness	toughness	NOUN
fis-13	56	6	kic	kic	PROPN
fis-13	56	7	fl–3/2	fl–3/2	ADJ
fis-13	56	8	3q	3q	NUM
fis-13	56	9	frequency	frequency	NOUN
fis-13	56	10	of	of	ADP
fis-13	56	11	the	the	DET
fis-13	56	12	loading	loading	NOUN
fis-13	56	13	cycle	cycle	NOUN
fis-13	56	14	ω	ω	NOUN
fis-13	56	15	t–1	t–1	ADP
fis-13	56	16	1s	1s	NUM
fis-13	56	17	stress	stress	NOUN
fis-13	56	18	-	-	PUNCT
fis-13	56	19	intensity	intensity	NOUN
fis-13	56	20	range	range	NOUN
fis-13	56	21	δk	δk	ADP
fis-13	56	22	=	=	SYM
fis-13	56	23	kmax	kmax	PROPN
fis-13	56	24	kmin	kmin	PROPN
fis-13	56	25	fl–3/2	fl–3/2	PROPN
fis-13	56	26	2s	2s	PROPN
fis-13	56	27	characteristic	characteristic	ADJ
fis-13	56	28	structural	structural	ADJ
fis-13	56	29	size	size	NOUN
fis-13	56	30	d	d	X
fis-13	56	31	l	l	NOUN
fis-13	56	32	3s	3s	NUM
fis-13	56	33	characteristic	characteristic	ADJ
fis-13	56	34	internal	internal	ADJ
fis-13	56	35	length	length	NOUN
fis-13	57	1	h	h	PROPN
fis-13	57	2	l	l	NOUN
fis-13	57	3	4s	4s	NUM
fis-13	57	4	initial	initial	ADJ
fis-13	57	5	crack	crack	NOUN
fis-13	57	6	length	length	NOUN
fis-13	57	7	a0	a0	PROPN
fis-13	57	8	l	l	PROPN
fis-13	57	9	1r	1r	NUM
fis-13	57	10	loading	loading	NOUN
fis-13	57	11	ratio	ratio	NOUN
fis-13	57	12	–	–	PUNCT
fis-13	57	13	(	(	PUNCT
fis-13	57	14	)	)	PUNCT
fis-13	57	15	ic	ic	PROPN
fis-13	57	16	0	0	NUM
fis-13	57	17	d	d	NOUN
fis-13	57	18	,	,	PUNCT
fis-13	57	19	,	,	PUNCT
fis-13	57	20	;	;	PUNCT
fis-13	57	21	,	,	PUNCT
fis-13	57	22	,	,	PUNCT
fis-13	57	23	,	,	PUNCT
fis-13	57	24	;	;	PUNCT
fis-13	57	25	1	1	X
fis-13	57	26	,	,	PUNCT
fis-13	58	1	d	d	PROPN
fis-13	58	2	y	y	PROPN
fis-13	59	1	a	a	PRON
fis-13	59	2	f	f	X
fis-13	60	1	k	k	PROPN
fis-13	60	2	k	k	PROPN
fis-13	60	3	d	d	PROPN
fis-13	60	4	h	h	NOUN
fis-13	60	5	a	a	DET
fis-13	60	6	r	r	NOUN
fis-13	60	7	n	n	NOUN
fis-13	60	8	σ	σ	PROPN
fis-13	60	9	ϖ=	ϖ=	PROPN
fis-13	60	10	δ	δ	PROPN
fis-13	60	11	−	−	PROPN
fis-13	60	12	figure	figure	NOUN
fis-13	60	13	1	1	NUM
fis-13	60	14	.	.	PUNCT
fis-13	60	15	scheme	scheme	NOUN
fis-13	60	16	of	of	ADP
fis-13	60	17	the	the	DET
fis-13	60	18	typical	typical	ADJ
fis-13	60	19	fatigue	fatigue	NOUN
fis-13	60	20	crack	crack	VERB
fis-13	60	21	propagation	propagation	NOUN
fis-13	60	22	curve	curve	NOUN
fis-13	60	23	max	max	PROPN
fis-13	60	24	min	min	PROPN
fis-13	61	1	k	k	PROPN
fis-13	61	2	kr	kr	PROPN
fis-13	61	3	=	=	PUNCT
fis-13	61	4	table	table	NOUN
fis-13	61	5	1	1	NUM
fis-13	61	6	.	.	PUNCT
fis-13	61	7	main	main	ADJ
fis-13	61	8	variables	variable	NOUN
fis-13	61	9	governing	govern	VERB
fis-13	61	10	the	the	DET
fis-13	61	11	fatigue	fatigue	NOUN
fis-13	61	12	crack	crack	VERB
fis-13	61	13	growth	growth	NOUN
fis-13	61	14	phenomenon	phenomenon	NOUN
fis-13	61	15	.	.	PUNCT
fis-13	62	1	al	al	PROPN
fis-13	62	2	.	.	PROPN
fis-13	62	3	carpinteri	carpinteri	PROPN
fis-13	62	4	et	et	PROPN
fis-13	62	5	al	al	PROPN
fis-13	62	6	.	.	PROPN
fis-13	62	7	,	,	PUNCT
fis-13	62	8	frattura	frattura	PROPN
fis-13	62	9	ed	ed	PROPN
fis-13	62	10	integrità	integrità	PROPN
fis-13	62	11	strutturale	strutturale	PROPN
fis-13	62	12	,	,	PUNCT
fis-13	62	13	2	2	NUM
fis-13	62	14	(	(	PUNCT
fis-13	62	15	2007	2007	NUM
fis-13	62	16	)	)	PUNCT
fis-13	62	17	10	10	NUM
fis-13	62	18	-	-	SYM
fis-13	62	19	16	16	NUM
fis-13	62	20	12	12	NUM
fis-13	62	21	their	their	PRON
fis-13	62	22	influence	influence	NOUN
fis-13	62	23	on	on	ADP
fis-13	62	24	fatigue	fatigue	NOUN
fis-13	62	25	crack	crack	NOUN
fis-13	62	26	growth	growth	NOUN
fis-13	62	27	can	can	AUX
fis-13	62	28	be	be	AUX
fis-13	62	29	taken	take	VERB
fis-13	62	30	into	into	ADP
fis-13	62	31	account	account	NOUN
fis-13	62	32	as	as	ADP
fis-13	62	33	a	a	DET
fis-13	62	34	degradation	degradation	NOUN
fis-13	62	35	of	of	ADP
fis-13	62	36	the	the	DET
fis-13	62	37	material	material	NOUN
fis-13	62	38	properties	property	NOUN
fis-13	62	39	.	.	PUNCT
fis-13	63	1	finally	finally	ADV
fis-13	63	2	,	,	PUNCT
fis-13	63	3	the	the	DET
fis-13	63	4	last	last	ADJ
fis-13	63	5	category	category	NOUN
fis-13	63	6	includes	include	VERB
fis-13	63	7	geometric	geometric	ADJ
fis-13	63	8	parameters	parameter	NOUN
fis-13	63	9	related	relate	VERB
fis-13	63	10	to	to	ADP
fis-13	63	11	the	the	DET
fis-13	63	12	material	material	NOUN
fis-13	63	13	microstructure	microstructure	NOUN
fis-13	63	14	,	,	PUNCT
fis-13	63	15	such	such	ADJ
fis-13	63	16	as	as	ADP
fis-13	63	17	the	the	DET
fis-13	63	18	internal	internal	ADJ
fis-13	63	19	characteristic	characteristic	ADJ
fis-13	63	20	length	length	NOUN
fis-13	63	21	,	,	PUNCT
fis-13	63	22	h	h	NOUN
fis-13	63	23	,	,	PUNCT
fis-13	63	24	and	and	CCONJ
fis-13	63	25	to	to	ADP
fis-13	63	26	the	the	DET
fis-13	63	27	tested	test	VERB
fis-13	63	28	geometry	geometry	NOUN
fis-13	63	29	,	,	PUNCT
fis-13	63	30	such	such	ADJ
fis-13	63	31	as	as	ADP
fis-13	63	32	the	the	DET
fis-13	63	33	characteristic	characteristic	ADJ
fis-13	63	34	structural	structural	ADJ
fis-13	63	35	size	size	NOUN
fis-13	63	36	,	,	PUNCT
fis-13	63	37	d	d	NOUN
fis-13	63	38	,	,	PUNCT
fis-13	63	39	and	and	CCONJ
fis-13	63	40	the	the	DET
fis-13	63	41	initial	initial	ADJ
fis-13	63	42	crack	crack	NOUN
fis-13	63	43	length	length	NOUN
fis-13	63	44	,	,	PUNCT
fis-13	63	45	a0	a0	PROPN
fis-13	63	46	.	.	PUNCT
fis-13	64	1	considering	consider	VERB
fis-13	64	2	a	a	DET
fis-13	64	3	state	state	NOUN
fis-13	64	4	with	with	ADP
fis-13	64	5	no	no	DET
fis-13	64	6	explicit	explicit	ADJ
fis-13	64	7	time	time	NOUN
fis-13	64	8	dependence	dependence	NOUN
fis-13	64	9	,	,	PUNCT
fis-13	64	10	it	it	PRON
fis-13	64	11	is	be	AUX
fis-13	64	12	possible	possible	ADJ
fis-13	64	13	to	to	PART
fis-13	64	14	apply	apply	VERB
fis-13	64	15	the	the	DET
fis-13	64	16	buckingham	buckingham	NOUN
fis-13	64	17	’s	’s	PART
fis-13	64	18	π	π	PROPN
fis-13	64	19	theorem	theorem	NOUN
fis-13	64	20	[	[	X
fis-13	64	21	19	19	NUM
fis-13	64	22	]	]	PUNCT
fis-13	64	23	to	to	PART
fis-13	64	24	reduce	reduce	VERB
fis-13	64	25	by	by	ADP
fis-13	64	26	n	n	PRON
fis-13	64	27	the	the	DET
fis-13	64	28	number	number	NOUN
fis-13	64	29	of	of	ADP
fis-13	64	30	parameters	parameter	NOUN
fis-13	64	31	involved	involve	VERB
fis-13	64	32	in	in	ADP
fis-13	64	33	the	the	DET
fis-13	64	34	problem	problem	NOUN
fis-13	64	35	(	(	PUNCT
fis-13	64	36	see	see	VERB
fis-13	64	37	e.g.	e.g.	ADV
fis-13	64	38	[	[	X
fis-13	64	39	8	8	NUM
fis-13	64	40	,	,	PUNCT
fis-13	64	41	20–26	20–26	NUM
fis-13	64	42	]	]	PUNCT
fis-13	64	43	for	for	ADP
fis-13	64	44	some	some	DET
fis-13	64	45	relevant	relevant	ADJ
fis-13	64	46	applications	application	NOUN
fis-13	64	47	of	of	ADP
fis-13	64	48	this	this	DET
fis-13	64	49	method	method	NOUN
fis-13	64	50	in	in	ADP
fis-13	64	51	solid	solid	ADJ
fis-13	64	52	mechanics	mechanic	NOUN
fis-13	64	53	)	)	PUNCT
fis-13	64	54	.	.	PUNCT
fis-13	65	1	as	as	ADP
fis-13	65	2	a	a	DET
fis-13	65	3	result	result	NOUN
fis-13	65	4	,	,	PUNCT
fis-13	65	5	we	we	PRON
fis-13	65	6	have	have	VERB
fis-13	65	7	:	:	PUNCT
fis-13	65	8	(	(	PUNCT
fis-13	65	9	4	4	X
fis-13	65	10	)	)	PUNCT
fis-13	65	11	at	at	ADP
fis-13	65	12	this	this	DET
fis-13	65	13	point	point	NOUN
fis-13	65	14	,	,	PUNCT
fis-13	65	15	we	we	PRON
fis-13	65	16	want	want	VERB
fis-13	65	17	to	to	PART
fis-13	65	18	see	see	VERB
fis-13	65	19	if	if	SCONJ
fis-13	65	20	the	the	DET
fis-13	65	21	number	number	NOUN
fis-13	65	22	of	of	ADP
fis-13	65	23	the	the	DET
fis-13	65	24	quantities	quantity	NOUN
fis-13	65	25	involved	involve	VERB
fis-13	65	26	in	in	ADP
fis-13	65	27	the	the	DET
fis-13	65	28	relationship	relationship	NOUN
fis-13	65	29	(	(	PUNCT
fis-13	65	30	4	4	X
fis-13	65	31	)	)	PUNCT
fis-13	65	32	can	can	AUX
fis-13	65	33	be	be	AUX
fis-13	65	34	reduced	reduce	VERB
fis-13	65	35	further	far	ADV
fis-13	65	36	from	from	ADP
fis-13	65	37	five	five	NUM
fis-13	65	38	.	.	PUNCT
fis-13	66	1	considering	consider	VERB
fis-13	66	2	the	the	DET
fis-13	66	3	nondimensional	nondimensional	ADJ
fis-13	66	4	parameter	parameter	PROPN
fis-13	66	5	ic	ic	PROPN
fis-13	66	6	/	/	SYM
fis-13	66	7	k	k	PROPN
fis-13	66	8	kδ	kδ	NOUN
fis-13	66	9	,	,	PUNCT
fis-13	66	10	it	it	PRON
fis-13	66	11	has	have	VERB
fis-13	66	12	to	to	PART
fis-13	66	13	be	be	AUX
fis-13	66	14	noticed	notice	VERB
fis-13	66	15	that	that	SCONJ
fis-13	66	16	this	this	PRON
fis-13	66	17	is	be	AUX
fis-13	66	18	usually	usually	ADV
fis-13	66	19	small	small	ADJ
fis-13	66	20	in	in	ADP
fis-13	66	21	the	the	DET
fis-13	66	22	region	region	NOUN
fis-13	66	23	ii	ii	PROPN
fis-13	66	24	of	of	ADP
fis-13	66	25	fatigue	fatigue	NOUN
fis-13	66	26	crack	crack	VERB
fis-13	66	27	growth	growth	NOUN
fis-13	66	28	.	.	PUNCT
fis-13	67	1	however	however	ADV
fis-13	67	2	,	,	PUNCT
fis-13	67	3	since	since	SCONJ
fis-13	67	4	it	it	PRON
fis-13	67	5	is	be	AUX
fis-13	67	6	well	well	ADV
fis-13	67	7	-	-	PUNCT
fis-13	67	8	known	know	VERB
fis-13	67	9	that	that	SCONJ
fis-13	67	10	the	the	DET
fis-13	67	11	fatigue	fatigue	NOUN
fis-13	67	12	crack	crack	VERB
fis-13	67	13	growth	growth	NOUN
fis-13	67	14	phenomenon	phenomenon	NOUN
fis-13	67	15	is	be	AUX
fis-13	67	16	strongly	strongly	ADV
fis-13	67	17	dependent	dependent	ADJ
fis-13	67	18	on	on	ADP
fis-13	67	19	this	this	DET
fis-13	67	20	variable	variable	NOUN
fis-13	67	21	(	(	PUNCT
fis-13	67	22	see	see	VERB
fis-13	67	23	e.g.	e.g.	ADV
fis-13	67	24	the	the	DET
fis-13	67	25	paris	paris	PROPN
fis-13	67	26	’	'	PUNCT
fis-13	67	27	law	law	NOUN
fis-13	67	28	in	in	ADP
fis-13	67	29	eq	eq	ADP
fis-13	67	30	.	.	PUNCT
fis-13	68	1	(	(	PUNCT
fis-13	68	2	1	1	NUM
fis-13	68	3	)	)	PUNCT
fis-13	68	4	)	)	PUNCT
fis-13	68	5	,	,	PUNCT
fis-13	68	6	a	a	DET
fis-13	68	7	complete	complete	ADJ
fis-13	68	8	self	self	NOUN
fis-13	68	9	-	-	PUNCT
fis-13	68	10	similarity	similarity	NOUN
fis-13	68	11	in	in	ADP
fis-13	68	12	this	this	DET
fis-13	68	13	parameter	parameter	NOUN
fis-13	68	14	can	can	AUX
fis-13	68	15	not	not	PART
fis-13	68	16	be	be	AUX
fis-13	68	17	accepted	accept	VERB
fis-13	68	18	.	.	PUNCT
fis-13	69	1	hence	hence	ADV
fis-13	69	2	,	,	PUNCT
fis-13	69	3	assuming	assume	VERB
fis-13	69	4	an	an	DET
fis-13	69	5	incomplete	incomplete	ADJ
fis-13	69	6	self	self	NOUN
fis-13	69	7	-	-	PUNCT
fis-13	69	8	similarity	similarity	NOUN
fis-13	69	9	in	in	ADP
fis-13	69	10	1π	1π	NUM
fis-13	69	11	,	,	PUNCT
fis-13	69	12	we	we	PRON
fis-13	69	13	have	have	VERB
fis-13	69	14	:	:	PUNCT
fis-13	69	15	(	(	PUNCT
fis-13	69	16	5	5	X
fis-13	69	17	)	)	PUNCT
fis-13	69	18	where	where	SCONJ
fis-13	69	19	the	the	DET
fis-13	69	20	exponent	exponent	NOUN
fis-13	69	21	β1	β1	PROPN
fis-13	69	22	and	and	CCONJ
fis-13	69	23	,	,	PUNCT
fis-13	69	24	consequently	consequently	ADV
fis-13	69	25	,	,	PUNCT
fis-13	69	26	the	the	DET
fis-13	69	27	nondimensional	nondimensional	ADJ
fis-13	69	28	parameter	parameter	NOUN
fis-13	69	29	1φ	1φ	PROPN
fis-13	69	30	,	,	PUNCT
fis-13	69	31	can	can	AUX
fis-13	69	32	not	not	PART
fis-13	69	33	be	be	AUX
fis-13	69	34	determined	determine	VERB
fis-13	69	35	from	from	ADP
fis-13	69	36	considerations	consideration	NOUN
fis-13	69	37	of	of	ADP
fis-13	69	38	dimensional	dimensional	ADJ
fis-13	69	39	analysis	analysis	NOUN
fis-13	69	40	alone	alone	ADV
fis-13	69	41	.	.	PUNCT
fis-13	70	1	moreover	moreover	ADV
fis-13	70	2	,	,	PUNCT
fis-13	70	3	the	the	DET
fis-13	70	4	exponent	exponent	NOUN
fis-13	70	5	β1	β1	PROPN
fis-13	70	6	may	may	AUX
fis-13	70	7	depend	depend	VERB
fis-13	70	8	on	on	ADP
fis-13	70	9	the	the	DET
fis-13	70	10	nondimensional	nondimensional	ADJ
fis-13	70	11	parameters	parameter	NOUN
fis-13	70	12	iπ	iπ	ADV
fis-13	70	13	.	.	PUNCT
fis-13	71	1	it	it	PRON
fis-13	71	2	has	have	VERB
fis-13	71	3	to	to	PART
fis-13	71	4	be	be	AUX
fis-13	71	5	noticed	notice	VERB
fis-13	71	6	that	that	SCONJ
fis-13	71	7	2π	2π	PROPN
fis-13	71	8	takes	take	VERB
fis-13	71	9	into	into	ADP
fis-13	71	10	account	account	NOUN
fis-13	71	11	the	the	DET
fis-13	71	12	effect	effect	NOUN
fis-13	71	13	of	of	ADP
fis-13	71	14	the	the	DET
fis-13	71	15	specimen	speciman	NOUN
fis-13	71	16	size	size	NOUN
fis-13	71	17	and	and	CCONJ
fis-13	71	18	it	it	PRON
fis-13	71	19	corresponds	correspond	VERB
fis-13	71	20	to	to	ADP
fis-13	71	21	the	the	DET
fis-13	71	22	square	square	NOUN
fis-13	71	23	of	of	ADP
fis-13	71	24	the	the	DET
fis-13	71	25	nondimensional	nondimensional	ADJ
fis-13	71	26	number	number	NOUN
fis-13	71	27	z	z	PROPN
fis-13	71	28	defined	define	VERB
fis-13	71	29	in	in	ADP
fis-13	71	30	[	[	X
fis-13	71	31	8	8	NUM
fis-13	71	32	]	]	PUNCT
fis-13	71	33	,	,	PUNCT
fis-13	71	34	and	and	CCONJ
fis-13	71	35	to	to	ADP
fis-13	71	36	the	the	DET
fis-13	71	37	inverse	inverse	NOUN
fis-13	71	38	of	of	ADP
fis-13	71	39	the	the	DET
fis-13	71	40	square	square	NOUN
fis-13	71	41	of	of	ADP
fis-13	71	42	the	the	DET
fis-13	71	43	brittleness	brittleness	NOUN
fis-13	71	44	number	number	NOUN
fis-13	71	45	s	s	PRON
fis-13	71	46	introduced	introduce	VERB
fis-13	71	47	in	in	ADP
fis-13	71	48	[	[	X
fis-13	71	49	20	20	NUM
fis-13	71	50	,	,	PUNCT
fis-13	71	51	21	21	NUM
fis-13	71	52	,	,	PUNCT
fis-13	71	53	27	27	NUM
fis-13	71	54	]	]	PUNCT
fis-13	71	55	.	.	PUNCT
fis-13	72	1	moreover	moreover	ADV
fis-13	72	2	,	,	PUNCT
fis-13	72	3	the	the	DET
fis-13	72	4	parameter	parameter	NOUN
fis-13	72	5	4π	4π	PRON
fis-13	72	6	is	be	AUX
fis-13	72	7	responsible	responsible	ADJ
fis-13	72	8	for	for	ADP
fis-13	72	9	the	the	DET
fis-13	72	10	dependence	dependence	NOUN
fis-13	72	11	of	of	ADP
fis-13	72	12	the	the	DET
fis-13	72	13	fatigue	fatigue	NOUN
fis-13	72	14	phenomenon	phenomenon	NOUN
fis-13	72	15	on	on	ADP
fis-13	72	16	the	the	DET
fis-13	72	17	initial	initial	ADJ
fis-13	72	18	crack	crack	NOUN
fis-13	72	19	length	length	NOUN
fis-13	72	20	,	,	PUNCT
fis-13	72	21	as	as	SCONJ
fis-13	72	22	recently	recently	ADV
fis-13	72	23	pointed	point	VERB
fis-13	72	24	out	out	ADP
fis-13	72	25	in	in	ADP
fis-13	72	26	[	[	X
fis-13	72	27	10	10	NUM
fis-13	72	28	]	]	PUNCT
fis-13	72	29	.	.	PUNCT
fis-13	73	1	repeating	repeat	VERB
fis-13	73	2	this	this	DET
fis-13	73	3	reasoning	reasoning	NOUN
fis-13	73	4	for	for	ADP
fis-13	73	5	the	the	DET
fis-13	73	6	parameter	parameter	NOUN
fis-13	73	7	(	(	PUNCT
fis-13	73	8	1	1	X
fis-13	73	9	)	)	PUNCT
fis-13	73	10	r−	r−	PROPN
fis-13	73	11	,	,	PUNCT
fis-13	73	12	which	which	PRON
fis-13	73	13	is	be	AUX
fis-13	73	14	a	a	DET
fis-13	73	15	small	small	ADJ
fis-13	73	16	number	number	NOUN
fis-13	73	17	comprised	comprise	VERB
fis-13	73	18	between	between	ADP
fis-13	73	19	zero	zero	NUM
fis-13	73	20	and	and	CCONJ
fis-13	73	21	unity	unity	NOUN
fis-13	73	22	,	,	PUNCT
fis-13	73	23	a	a	DET
fis-13	73	24	complete	complete	ADJ
fis-13	73	25	self	self	NOUN
fis-13	73	26	-	-	PUNCT
fis-13	73	27	similarity	similarity	NOUN
fis-13	73	28	in	in	ADP
fis-13	73	29	5π	5π	PROPN
fis-13	73	30	would	would	AUX
fis-13	73	31	imply	imply	VERB
fis-13	73	32	that	that	SCONJ
fis-13	73	33	fatigue	fatigue	NOUN
fis-13	73	34	crack	crack	NOUN
fis-13	73	35	growth	growth	NOUN
fis-13	73	36	is	be	AUX
fis-13	73	37	independent	independent	ADJ
fis-13	73	38	of	of	ADP
fis-13	73	39	the	the	DET
fis-13	73	40	loading	loading	NOUN
fis-13	73	41	ratio	ratio	NOUN
fis-13	73	42	.	.	PUNCT
fis-13	74	1	however	however	ADV
fis-13	74	2	,	,	PUNCT
fis-13	74	3	this	this	DET
fis-13	74	4	behavior	behavior	NOUN
fis-13	74	5	is	be	AUX
fis-13	74	6	in	in	ADP
fis-13	74	7	contrast	contrast	NOUN
fis-13	74	8	with	with	ADP
fis-13	74	9	some	some	DET
fis-13	74	10	experimental	experimental	ADJ
fis-13	74	11	results	result	NOUN
fis-13	74	12	indicating	indicate	VERB
fis-13	74	13	an	an	DET
fis-13	74	14	increase	increase	NOUN
fis-13	74	15	in	in	ADP
fis-13	74	16	the	the	DET
fis-13	74	17	response	response	NOUN
fis-13	74	18	d	d	PROPN
fis-13	74	19	/	/	SYM
fis-13	74	20	da	da	PROPN
fis-13	74	21	n	n	PROPN
fis-13	74	22	when	when	SCONJ
fis-13	74	23	increasing	increase	VERB
fis-13	74	24	the	the	DET
fis-13	74	25	parameter	parameter	NOUN
fis-13	74	26	r	r	NOUN
fis-13	75	1	[	[	X
fis-13	75	2	28	28	NUM
fis-13	75	3	]	]	PUNCT
fis-13	75	4	.	.	PUNCT
fis-13	76	1	therefore	therefore	ADV
fis-13	76	2	,	,	PUNCT
fis-13	76	3	assuming	assume	VERB
fis-13	76	4	again	again	ADV
fis-13	76	5	an	an	DET
fis-13	76	6	incomplete	incomplete	ADJ
fis-13	76	7	self	self	NOUN
fis-13	76	8	-	-	PUNCT
fis-13	76	9	similarity	similarity	NOUN
fis-13	76	10	in	in	ADP
fis-13	76	11	5π	5π	PROPN
fis-13	76	12	,	,	PUNCT
fis-13	76	13	we	we	PRON
fis-13	76	14	have	have	VERB
fis-13	76	15	:	:	PUNCT
fis-13	76	16	(	(	PUNCT
fis-13	76	17	6	6	X
fis-13	76	18	)	)	PUNCT
fis-13	76	19	comparing	compare	VERB
fis-13	76	20	eq	eq	PROPN
fis-13	76	21	.	.	PUNCT
fis-13	77	1	(	(	PUNCT
fis-13	77	2	6	6	NUM
fis-13	77	3	)	)	PUNCT
fis-13	77	4	with	with	ADP
fis-13	77	5	the	the	DET
fis-13	77	6	expression	expression	NOUN
fis-13	77	7	of	of	ADP
fis-13	77	8	the	the	DET
fis-13	77	9	paris	paris	PROPN
fis-13	77	10	’	'	PUNCT
fis-13	77	11	law	law	NOUN
fis-13	77	12	,	,	PUNCT
fis-13	77	13	we	we	PRON
fis-13	77	14	find	find	VERB
fis-13	77	15	that	that	SCONJ
fis-13	77	16	our	our	PRON
fis-13	77	17	proposed	propose	VERB
fis-13	77	18	formulation	formulation	NOUN
fis-13	77	19	encompasses	encompass	VERB
fis-13	77	20	eq	eq	ADP
fis-13	77	21	.	.	PUNCT
fis-13	78	1	(	(	PUNCT
fis-13	78	2	1	1	X
fis-13	78	3	)	)	PUNCT
fis-13	78	4	as	as	ADP
fis-13	78	5	a	a	DET
fis-13	78	6	limit	limit	NOUN
fis-13	78	7	case	case	NOUN
fis-13	78	8	when	when	SCONJ
fis-13	78	9	:	:	PUNCT
fis-13	78	10	(	(	PUNCT
fis-13	78	11	7	7	X
fis-13	78	12	)	)	PUNCT
fis-13	78	13	as	as	ADP
fis-13	78	14	a	a	DET
fis-13	78	15	consequence	consequence	NOUN
fis-13	78	16	,	,	PUNCT
fis-13	78	17	from	from	ADP
fis-13	78	18	eq	eq	ADP
fis-13	78	19	.	.	PUNCT
fis-13	79	1	(	(	PUNCT
fis-13	79	2	7	7	X
fis-13	79	3	)	)	PUNCT
fis-13	79	4	it	it	PRON
fis-13	79	5	is	be	AUX
fis-13	79	6	possible	possible	ADJ
fis-13	79	7	to	to	PART
fis-13	79	8	notice	notice	VERB
fis-13	79	9	that	that	SCONJ
fis-13	79	10	the	the	DET
fis-13	79	11	parameter	parameter	NOUN
fis-13	79	12	c	c	PROPN
fis-13	79	13	is	be	AUX
fis-13	79	14	dependent	dependent	ADJ
fis-13	79	15	on	on	ADP
fis-13	79	16	two	two	NUM
fis-13	79	17	material	material	NOUN
fis-13	79	18	parameters	parameter	NOUN
fis-13	79	19	,	,	PUNCT
fis-13	79	20	such	such	ADJ
fis-13	79	21	as	as	ADP
fis-13	79	22	the	the	DET
fis-13	79	23	fracture	fracture	NOUN
fis-13	79	24	toughness	toughness	NOUN
fis-13	79	25	,	,	PUNCT
fis-13	79	26	ick	ick	NOUN
fis-13	79	27	,	,	PUNCT
fis-13	79	28	and	and	CCONJ
fis-13	79	29	the	the	DET
fis-13	79	30	yield	yield	NOUN
fis-13	79	31	stress	stress	NOUN
fis-13	79	32	,	,	PUNCT
fis-13	79	33	yσ	yσ	PRON
fis-13	79	34	,	,	PUNCT
fis-13	79	35	as	as	ADV
fis-13	79	36	well	well	ADV
fis-13	79	37	as	as	ADP
fis-13	79	38	on	on	ADP
fis-13	79	39	the	the	DET
fis-13	79	40	loading	loading	NOUN
fis-13	79	41	ratio	ratio	NOUN
fis-13	79	42	,	,	PUNCT
fis-13	79	43	r	r	NOUN
fis-13	79	44	,	,	PUNCT
fis-13	79	45	and	and	CCONJ
fis-13	79	46	on	on	ADP
fis-13	79	47	the	the	DET
fis-13	79	48	nondimensional	nondimensional	ADJ
fis-13	79	49	parameters	parameter	NOUN
fis-13	79	50	2π	2π	NOUN
fis-13	79	51	,	,	PUNCT
fis-13	79	52	3π	3π	NUM
fis-13	79	53	,	,	PUNCT
fis-13	79	54	and	and	CCONJ
fis-13	79	55	4π	4π	NUM
fis-13	79	56	.	.	PUNCT
fis-13	80	1	moreover	moreover	ADV
fis-13	80	2	,	,	PUNCT
fis-13	80	3	eq	eq	ADJ
fis-13	80	4	.	.	PUNCT
fis-13	81	1	(	(	PUNCT
fis-13	81	2	7	7	X
fis-13	81	3	)	)	PUNCT
fis-13	81	4	demonstrates	demonstrate	NOUN
fis-13	81	5	,	,	PUNCT
fis-13	81	6	from	from	ADP
fis-13	81	7	the	the	DET
fis-13	81	8	theoretical	theoretical	ADJ
fis-13	81	9	standpoint	standpoint	NOUN
fis-13	81	10	,	,	PUNCT
fis-13	81	11	the	the	DET
fis-13	81	12	existence	existence	NOUN
fis-13	81	13	of	of	ADP
fis-13	81	14	a	a	DET
fis-13	81	15	relationship	relationship	NOUN
fis-13	81	16	between	between	ADP
fis-13	81	17	the	the	DET
fis-13	81	18	parameters	parameter	NOUN
fis-13	81	19	c	c	PROPN
fis-13	81	20	and	and	CCONJ
fis-13	81	21	m.	m.	NOUN
fis-13	81	22	3	3	NUM
fis-13	81	23	correlation	correlation	NOUN
fis-13	81	24	derived	derive	VERB
fis-13	81	25	according	accord	VERB
fis-13	81	26	to	to	ADP
fis-13	81	27	the	the	DET
fis-13	81	28	crack	crack	NOUN
fis-13	81	29	growth	growth	NOUN
fis-13	81	30	instability	instability	NOUN
fis-13	81	31	condition	condition	NOUN
fis-13	81	32	in	in	ADP
fis-13	81	33	this	this	DET
fis-13	81	34	section	section	NOUN
fis-13	81	35	we	we	PRON
fis-13	81	36	derive	derive	VERB
fis-13	81	37	a	a	DET
fis-13	81	38	correlation	correlation	NOUN
fis-13	81	39	between	between	ADP
fis-13	81	40	the	the	DET
fis-13	81	41	paris	paris	PROPN
fis-13	81	42	’	'	PUNCT
fis-13	81	43	law	law	NOUN
fis-13	81	44	parameters	parameter	NOUN
fis-13	81	45	similar	similar	ADJ
fis-13	81	46	to	to	ADP
fis-13	81	47	that	that	PRON
fis-13	81	48	in	in	ADP
fis-13	81	49	eq	eq	ADP
fis-13	81	50	.	.	PUNCT
fis-13	82	1	(	(	PUNCT
fis-13	82	2	7	7	NUM
fis-13	82	3	)	)	PUNCT
fis-13	82	4	on	on	ADP
fis-13	82	5	the	the	DET
fis-13	82	6	basis	basis	NOUN
fis-13	82	7	of	of	ADP
fis-13	82	8	the	the	DET
fis-13	82	9	condition	condition	NOUN
fis-13	82	10	of	of	ADP
fis-13	82	11	crack	crack	NOUN
fis-13	82	12	growth	growth	NOUN
fis-13	82	13	instability	instability	NOUN
fis-13	82	14	.	.	PUNCT
fis-13	83	1	in	in	ADP
fis-13	83	2	fact	fact	NOUN
fis-13	83	3	,	,	PUNCT
fis-13	83	4	as	as	SCONJ
fis-13	83	5	firstly	firstly	ADV
fis-13	83	6	pointed	point	VERB
fis-13	83	7	out	out	ADP
fis-13	83	8	by	by	ADP
fis-13	83	9	forman	forman	PROPN
fis-13	83	10	et	et	PROPN
fis-13	83	11	al	al	PROPN
fis-13	83	12	.	.	PUNCT
fis-13	84	1	[	[	X
fis-13	84	2	4	4	NUM
fis-13	84	3	]	]	PUNCT
fis-13	84	4	,	,	PUNCT
fis-13	84	5	the	the	DET
fis-13	84	6	crack	crack	NOUN
fis-13	84	7	propagation	propagation	NOUN
fis-13	84	8	rate	rate	NOUN
fis-13	84	9	,	,	PUNCT
fis-13	84	10	d	d	PROPN
fis-13	84	11	/	/	SYM
fis-13	84	12	da	da	PROPN
fis-13	84	13	n	n	PROPN
fis-13	84	14	,	,	PUNCT
fis-13	84	15	is	be	AUX
fis-13	84	16	not	not	PART
fis-13	84	17	only	only	ADV
fis-13	84	18	a	a	DET
fis-13	84	19	function	function	NOUN
fis-13	84	20	of	of	ADP
fis-13	84	21	the	the	DET
fis-13	84	22	stress	stress	NOUN
fis-13	84	23	-	-	PUNCT
fis-13	84	24	intensity	intensity	NOUN
fis-13	84	25	factor	factor	NOUN
fis-13	84	26	range	range	NOUN
fis-13	84	27	,	,	PUNCT
fis-13	84	28	kδ	kδ	INTJ
fis-13	84	29	,	,	PUNCT
fis-13	84	30	but	but	CCONJ
fis-13	84	31	also	also	ADV
fis-13	84	32	on	on	ADP
fis-13	84	33	the	the	DET
fis-13	84	34	condition	condition	NOUN
fis-13	84	35	of	of	ADP
fis-13	84	36	instability	instability	NOUN
fis-13	84	37	of	of	ADP
fis-13	84	38	the	the	DET
fis-13	84	39	crack	crack	NOUN
fis-13	84	40	growth	growth	NOUN
fis-13	84	41	when	when	SCONJ
fis-13	84	42	the	the	DET
fis-13	84	43	maximum	maximum	ADJ
fis-13	84	44	stress	stress	NOUN
fis-13	84	45	-	-	PUNCT
fis-13	84	46	intensity	intensity	NOUN
fis-13	84	47	factor	factor	NOUN
fis-13	84	48	approaches	approach	VERB
fis-13	84	49	its	its	PRON
fis-13	84	50	critical	critical	ADJ
fis-13	84	51	value	value	NOUN
fis-13	84	52	for	for	ADP
fis-13	84	53	the	the	DET
fis-13	84	54	material	material	NOUN
fis-13	84	55	.	.	PUNCT
fis-13	85	1	focusing	focus	VERB
fis-13	85	2	our	our	PRON
fis-13	85	3	attention	attention	NOUN
fis-13	85	4	on	on	ADP
fis-13	85	5	this	this	DET
fis-13	85	6	dependence	dependence	NOUN
fis-13	85	7	,	,	PUNCT
fis-13	85	8	forman	forman	PROPN
fis-13	85	9	et	et	PROPN
fis-13	85	10	al	al	PROPN
fis-13	85	11	.	.	PUNCT
fis-13	86	1	[	[	X
fis-13	86	2	4	4	X
fis-13	86	3	]	]	PUNCT
fis-13	86	4	observed	observe	VERB
fis-13	86	5	that	that	SCONJ
fis-13	86	6	the	the	DET
fis-13	86	7	crack	crack	NOUN
fis-13	86	8	propagation	propagation	NOUN
fis-13	86	9	rate	rate	NOUN
fis-13	86	10	must	must	AUX
fis-13	86	11	tend	tend	VERB
fis-13	86	12	to	to	PART
fis-13	86	13	infinity	infinity	VERB
fis-13	86	14	when	when	SCONJ
fis-13	86	15	max	max	PROPN
fis-13	86	16	ick	ick	NOUN
fis-13	86	17	k→	k→	PROPN
fis-13	86	18	,	,	PUNCT
fis-13	86	19	i.e.	i.e.	X
fis-13	86	20	(	(	PUNCT
fis-13	86	21	8)	8)	NUM
fis-13	86	22	this	this	DET
fis-13	86	23	rapid	rapid	ADJ
fis-13	86	24	increase	increase	NOUN
fis-13	86	25	in	in	ADP
fis-13	86	26	the	the	DET
fis-13	86	27	crack	crack	NOUN
fis-13	86	28	propagation	propagation	NOUN
fis-13	86	29	rate	rate	NOUN
fis-13	86	30	is	be	AUX
fis-13	86	31	then	then	ADV
fis-13	86	32	responsible	responsible	ADJ
fis-13	86	33	for	for	ADP
fis-13	86	34	the	the	DET
fis-13	86	35	fast	fast	ADJ
fis-13	86	36	deviation	deviation	NOUN
fis-13	86	37	from	from	ADP
fis-13	86	38	the	the	DET
fis-13	86	39	linear	linear	ADJ
fis-13	86	40	part	part	NOUN
fis-13	86	41	of	of	ADP
fis-13	86	42	the	the	DET
fis-13	86	43	region	region	NOUN
fis-13	86	44	ii	ii	PROPN
fis-13	86	45	in	in	ADP
fis-13	86	46	the	the	DET
fis-13	86	47	fatigue	fatigue	NOUN
fis-13	86	48	plot	plot	NOUN
fis-13	86	49	(	(	PUNCT
fis-13	86	50	see	see	VERB
fis-13	86	51	e.g.	e.g.	ADV
fis-13	86	52	fig	fig	NOUN
fis-13	86	53	.	.	PUNCT
fis-13	87	1	1	1	NUM
fis-13	87	2	)	)	PUNCT
fis-13	87	3	.	.	PUNCT
fis-13	88	1	considering	consider	VERB
fis-13	88	2	the	the	DET
fis-13	88	3	transition	transition	NOUN
fis-13	88	4	point	point	NOUN
fis-13	88	5	labeled	label	VERB
fis-13	88	6	cr	cr	PROPN
fis-13	88	7	in	in	ADP
fis-13	88	8	fig	fig	NOUN
fis-13	88	9	.	.	PUNCT
fis-13	89	1	1	1	NUM
fis-13	89	2	between	between	ADP
fis-13	89	3	region	region	PROPN
fis-13	89	4	ii	ii	PROPN
fis-13	89	5	and	and	CCONJ
fis-13	89	6	region	region	PROPN
fis-13	89	7	iii	iii	PROPN
fis-13	89	8	,	,	PUNCT
fis-13	89	9	the	the	DET
fis-13	89	10	following	follow	VERB
fis-13	89	11	relationship	relationship	NOUN
fis-13	89	12	between	between	ADP
fis-13	89	13	the	the	DET
fis-13	89	14	crack	crack	NOUN
fis-13	89	15	growth	growth	NOUN
fis-13	89	16	rate	rate	NOUN
fis-13	89	17	and	and	CCONJ
fis-13	89	18	the	the	DET
fis-13	89	19	stress	stress	NOUN
fis-13	89	20	-	-	PUNCT
fis-13	89	21	intensity	intensity	NOUN
fis-13	89	22	factor	factor	NOUN
fis-13	89	23	range	range	NOUN
fis-13	89	24	can	can	AUX
fis-13	89	25	be	be	AUX
fis-13	89	26	derived	derive	VERB
fis-13	89	27	according	accord	VERB
fis-13	89	28	to	to	ADP
fis-13	89	29	the	the	DET
fis-13	89	30	paris	paris	PROPN
fis-13	89	31	’	'	PUNCT
fis-13	89	32	law	law	NOUN
fis-13	89	33	:	:	PUNCT
fis-13	89	34	(	(	PUNCT
fis-13	89	35	9	9	X
fis-13	89	36	)	)	PUNCT
fis-13	89	37	(	(	PUNCT
fis-13	89	38	)	)	PUNCT
fis-13	89	39	2	2	NUM
fis-13	89	40	ic	ic	PROPN
fis-13	89	41	y	y	PROPN
fis-13	89	42	2	2	NUM
fis-13	89	43	2	2	NUM
fis-13	89	44	2	2	NUM
fis-13	89	45	02	02	NUM
fis-13	89	46	2	2	NUM
fis-13	89	47	2	2	NUM
fis-13	89	48	ic	ic	NOUN
fis-13	89	49	ic	ic	PROPN
fis-13	89	50	ic	ic	PROPN
fis-13	89	51	ic	ic	PROPN
fis-13	89	52	1	1	NUM
fis-13	89	53	2	2	NUM
fis-13	89	54	3	3	NUM
fis-13	89	55	4	4	NUM
fis-13	89	56	5	5	NUM
fis-13	89	57	d	d	NOUN
fis-13	89	58	d	d	PROPN
fis-13	89	59	,	,	PUNCT
fis-13	89	60	,	,	PUNCT
fis-13	89	61	,	,	PUNCT
fis-13	89	62	;	;	PUNCT
fis-13	89	63	1	1	NUM
fis-13	89	64	,	,	PUNCT
fis-13	89	65	,	,	PUNCT
fis-13	89	66	,	,	PUNCT
fis-13	89	67	,	,	PUNCT
fis-13	89	68	.	.	PUNCT
fis-13	90	1	y	y	PROPN
fis-13	90	2	y	y	PROPN
fis-13	90	3	y	y	PROPN
fis-13	90	4	ka	ka	PROPN
fis-13	91	1	n	n	PROPN
fis-13	91	2	k	k	PROPN
fis-13	92	1	d	d	PROPN
fis-13	92	2	h	h	NOUN
fis-13	92	3	a	a	DET
fis-13	92	4	r	r	NOUN
fis-13	92	5	k	k	PROPN
fis-13	92	6	k	k	PROPN
fis-13	92	7	k	k	PROPN
fis-13	92	8	k	k	PROPN
fis-13	92	9	σ	σ	PROPN
fis-13	92	10	σ	σ	PROPN
fis-13	92	11	σ	σ	PROPN
fis-13	92	12	σ	σ	PROPN
fis-13	92	13	⎛	⎛	NOUN
fis-13	92	14	⎞	⎞	NOUN
fis-13	92	15	=	=	SYM
fis-13	92	16	⎜	⎜	PROPN
fis-13	92	17	⎟⎜	⎟⎜	VERB
fis-13	92	18	⎟	⎟	X
fis-13	92	19	⎝	⎝	PUNCT
fis-13	92	20	⎠	⎠	X
fis-13	92	21	⎛	⎛	NOUN
fis-13	92	22	⎞δ	⎞δ	X
fis-13	92	23	=	=	SYM
fis-13	92	24	φ	φ	PROPN
fis-13	92	25	−	−	PROPN
fis-13	92	26	=	=	SYM
fis-13	92	27	⎜	⎜	PROPN
fis-13	92	28	⎟⎜	⎟⎜	VERB
fis-13	92	29	⎟	⎟	X
fis-13	92	30	⎝	⎝	X
fis-13	92	31	⎠	⎠	PROPN
fis-13	92	32	=	=	SYM
fis-13	92	33	φ	φ	PROPN
fis-13	92	34	π	π	PROPN
fis-13	92	35	π	π	NOUN
fis-13	92	36	π	π	PUNCT
fis-13	92	37	π	π	PROPN
fis-13	92	38	π	π	PROPN
fis-13	92	39	(	(	PUNCT
fis-13	92	40	)	)	PUNCT
fis-13	92	41	12	12	NUM
fis-13	92	42	ic	ic	NOUN
fis-13	92	43	1	1	NUM
fis-13	92	44	2	2	NUM
fis-13	92	45	3	3	NUM
fis-13	92	46	4	4	NUM
fis-13	92	47	5	5	NUM
fis-13	92	48	y	y	NOUN
fis-13	92	49	ic	ic	PROPN
fis-13	92	50	d	d	X
fis-13	92	51	,	,	PUNCT
fis-13	92	52	,	,	PUNCT
fis-13	92	53	,	,	PUNCT
fis-13	92	54	,	,	PUNCT
fis-13	93	1	d	d	PROPN
fis-13	93	2	ka	ka	PROPN
fis-13	93	3	k	k	PROPN
fis-13	93	4	n	n	PROPN
fis-13	93	5	k	k	PROPN
fis-13	93	6	β	β	X
fis-13	93	7	σ	σ	X
fis-13	93	8	⎛	⎛	NOUN
fis-13	93	9	⎞	⎞	PROPN
fis-13	93	10	⎛	⎛	NOUN
fis-13	93	11	⎞δ	⎞δ	X
fis-13	93	12	=	=	SYM
fis-13	94	1	φ	φ	PROPN
fis-13	94	2	π	π	PROPN
fis-13	94	3	π	π	PROPN
fis-13	94	4	π	π	X
fis-13	94	5	π⎜	π⎜	PROPN
fis-13	94	6	⎟	⎟	PROPN
fis-13	94	7	⎜	⎜	PROPN
fis-13	94	8	⎟⎜	⎟⎜	VERB
fis-13	94	9	⎟	⎟	X
fis-13	94	10	⎝	⎝	NUM
fis-13	94	11	⎠⎝	⎠⎝	PROPN
fis-13	94	12	⎠	⎠	NOUN
fis-13	94	13	(	(	PUNCT
fis-13	94	14	)	)	PUNCT
fis-13	94	15	(	(	PUNCT
fis-13	94	16	)	)	PUNCT
fis-13	94	17	(	(	PUNCT
fis-13	94	18	)	)	PUNCT
fis-13	94	19	1	1	NUM
fis-13	94	20	2	2	NUM
fis-13	94	21	1	1	NUM
fis-13	94	22	2	2	NUM
fis-13	94	23	1	1	NUM
fis-13	94	24	2	2	NUM
fis-13	94	25	ic	ic	NOUN
fis-13	94	26	2	2	NUM
fis-13	94	27	2	2	NUM
fis-13	94	28	3	3	NUM
fis-13	94	29	4	4	NUM
fis-13	94	30	y	y	NOUN
fis-13	94	31	ic	ic	INTJ
fis-13	94	32	2	2	NUM
fis-13	94	33	2	2	NUM
fis-13	94	34	ic	ic	PROPN
fis-13	94	35	y	y	PROPN
fis-13	94	36	2	2	NUM
fis-13	94	37	2	2	NUM
fis-13	94	38	3	3	NUM
fis-13	94	39	4	4	NUM
fis-13	94	40	d	d	NOUN
fis-13	94	41	d	d	X
fis-13	94	42	(	(	PUNCT
fis-13	94	43	1	1	NUM
fis-13	94	44	)	)	PUNCT
fis-13	94	45	,	,	PUNCT
fis-13	94	46	,	,	PUNCT
fis-13	94	47	(	(	PUNCT
fis-13	94	48	1	1	NUM
fis-13	94	49	)	)	PUNCT
fis-13	94	50	,	,	PUNCT
fis-13	94	51	,	,	PUNCT
fis-13	94	52	.	.	PUNCT
fis-13	95	1	a	a	DET
fis-13	95	2	n	n	NOUN
fis-13	96	1	k	k	NOUN
fis-13	96	2	k	k	NOUN
fis-13	96	3	r	r	NOUN
fis-13	97	1	k	k	PROPN
fis-13	97	2	k	k	NOUN
fis-13	97	3	r	r	NOUN
fis-13	97	4	k	k	PROPN
fis-13	97	5	β	β	X
fis-13	97	6	β	β	X
fis-13	97	7	β	β	X
fis-13	97	8	β	β	X
fis-13	97	9	β	β	X
fis-13	97	10	σ	σ	PROPN
fis-13	97	11	σ−	σ−	NOUN
fis-13	97	12	−	−	NOUN
fis-13	97	13	=	=	SYM
fis-13	97	14	⎛	⎛	NOUN
fis-13	97	15	⎞	⎞	NOUN
fis-13	97	16	⎛	⎛	NOUN
fis-13	97	17	⎞δ	⎞δ	PROPN
fis-13	97	18	=	=	SYM
fis-13	97	19	−	−	PROPN
fis-13	98	1	φ	φ	NUM
fis-13	98	2	π	π	PROPN
fis-13	98	3	π	π	X
fis-13	98	4	π	π	X
fis-13	98	5	=	=	PRON
fis-13	98	6	⎜	⎜	PROPN
fis-13	98	7	⎟	⎟	PROPN
fis-13	98	8	⎜	⎜	PROPN
fis-13	98	9	⎟⎜	⎟⎜	VERB
fis-13	98	10	⎟	⎟	X
fis-13	98	11	⎝	⎝	PUNCT
fis-13	98	12	⎠⎝	⎠⎝	PROPN
fis-13	98	13	⎠	⎠	NOUN
fis-13	98	14	=	=	SYM
fis-13	98	15	−	−	PROPN
fis-13	99	1	δ	δ	PROPN
fis-13	99	2	φ	φ	NOUN
fis-13	99	3	π	π	PROPN
fis-13	99	4	π	π	PROPN
fis-13	99	5	π	π	PROPN
fis-13	99	6	(	(	PUNCT
fis-13	99	7	)	)	PUNCT
fis-13	99	8	(	(	PUNCT
fis-13	99	9	)	)	SYM
fis-13	99	10	2	2	NUM
fis-13	99	11	1	1	NUM
fis-13	99	12	2	2	NUM
fis-13	99	13	2	2	NUM
fis-13	99	14	ic	ic	NOUN
fis-13	99	15	y	y	PROPN
fis-13	99	16	2	2	NUM
fis-13	99	17	2	2	NUM
fis-13	99	18	3	3	NUM
fis-13	99	19	4	4	NUM
fis-13	99	20	,	,	PUNCT
fis-13	99	21	(	(	PUNCT
fis-13	99	22	1	1	NUM
fis-13	99	23	)	)	PUNCT
fis-13	99	24	,	,	PUNCT
fis-13	99	25	,	,	PUNCT
fis-13	99	26	.m	.m	PROPN
fis-13	100	1	m	m	VERB
fis-13	101	1	c	c	NOUN
fis-13	101	2	k	k	NOUN
fis-13	101	3	r	r	NOUN
fis-13	101	4	β	β	X
fis-13	101	5	β	β	X
fis-13	101	6	σ−	σ−	NOUN
fis-13	101	7	−	−	NOUN
fis-13	102	1	=	=	PUNCT
fis-13	102	2	=	=	SYM
fis-13	103	1	−	−	PROPN
fis-13	103	2	φ	φ	NUM
fis-13	103	3	π	π	PROPN
fis-13	103	4	π	π	PROPN
fis-13	103	5	π	π	PROPN
fis-13	103	6	max	max	PROPN
fis-13	103	7	ic	ic	PROPN
fis-13	103	8	dlim	dlim	PROPN
fis-13	103	9	dk	dk	PROPN
fis-13	103	10	k	k	PROPN
fis-13	103	11	a	a	PROPN
fis-13	103	12	n→	n→	PROPN
fis-13	103	13	=	=	SYM
fis-13	103	14	∞	∞	PROPN
fis-13	103	15	(	(	PUNCT
fis-13	103	16	)	)	PUNCT
fis-13	103	17	cr	cr	PROPN
fis-13	103	18	cr	cr	PROPN
fis-13	103	19	cr	cr	PROPN
fis-13	104	1	d	d	PROPN
fis-13	104	2	d	d	PROPN
fis-13	104	3	ma	ma	PROPN
fis-13	104	4	v	v	PROPN
fis-13	104	5	c	c	PROPN
fis-13	104	6	k	k	PROPN
fis-13	104	7	n	n	CCONJ
fis-13	104	8	⎛	⎛	NOUN
fis-13	104	9	⎞	⎞	NOUN
fis-13	104	10	=	=	SYM
fis-13	104	11	=	=	PUNCT
fis-13	104	12	δ⎜	δ⎜	X
fis-13	104	13	⎟	⎟	X
fis-13	104	14	⎝	⎝	X
fis-13	104	15	⎠	⎠	PROPN
fis-13	104	16	al	al	PROPN
fis-13	104	17	.	.	PUNCT
fis-13	104	18	carpinteri	carpinteri	PROPN
fis-13	104	19	et	et	PROPN
fis-13	104	20	al	al	PROPN
fis-13	104	21	.	.	PROPN
fis-13	104	22	,	,	PUNCT
fis-13	104	23	frattura	frattura	PROPN
fis-13	104	24	ed	ed	PROPN
fis-13	104	25	integrità	integrità	PROPN
fis-13	104	26	strutturale	strutturale	PROPN
fis-13	104	27	,	,	PUNCT
fis-13	104	28	2	2	NUM
fis-13	104	29	(	(	PUNCT
fis-13	104	30	2007	2007	NUM
fis-13	104	31	)	)	PUNCT
fis-13	104	32	10	10	NUM
fis-13	104	33	-	-	SYM
fis-13	104	34	16	16	NUM
fis-13	104	35	13	13	NUM
fis-13	104	36	where	where	SCONJ
fis-13	104	37	crkδ	crkδ	ADJ
fis-13	104	38	denotes	denote	VERB
fis-13	104	39	the	the	DET
fis-13	104	40	value	value	NOUN
fis-13	104	41	of	of	ADP
fis-13	104	42	the	the	DET
fis-13	104	43	stress	stress	NOUN
fis-13	104	44	-	-	PUNCT
fis-13	104	45	intensity	intensity	NOUN
fis-13	104	46	factor	factor	NOUN
fis-13	104	47	range	range	NOUN
fis-13	104	48	at	at	ADP
fis-13	104	49	the	the	DET
fis-13	104	50	point	point	NOUN
fis-13	104	51	cr	cr	PROPN
fis-13	104	52	.	.	PUNCT
fis-13	105	1	due	due	ADP
fis-13	105	2	to	to	ADP
fis-13	105	3	the	the	DET
fis-13	105	4	fact	fact	NOUN
fis-13	105	5	that	that	SCONJ
fis-13	105	6	a	a	DET
fis-13	105	7	rapid	rapid	ADJ
fis-13	105	8	variation	variation	NOUN
fis-13	105	9	in	in	ADP
fis-13	105	10	the	the	DET
fis-13	105	11	crack	crack	NOUN
fis-13	105	12	propagation	propagation	NOUN
fis-13	105	13	rate	rate	NOUN
fis-13	105	14	takes	take	VERB
fis-13	105	15	place	place	NOUN
fis-13	105	16	when	when	SCONJ
fis-13	105	17	the	the	DET
fis-13	105	18	onset	onset	NOUN
fis-13	105	19	of	of	ADP
fis-13	105	20	crack	crack	NOUN
fis-13	105	21	instability	instability	NOUN
fis-13	105	22	is	be	AUX
fis-13	105	23	reached	reach	VERB
fis-13	105	24	,	,	PUNCT
fis-13	105	25	it	it	PRON
fis-13	105	26	is	be	AUX
fis-13	105	27	a	a	DET
fis-13	105	28	reasonable	reasonable	ADJ
fis-13	105	29	assumption	assumption	NOUN
fis-13	105	30	to	to	PART
fis-13	105	31	consider	consider	VERB
fis-13	105	32	cr	cr	PROPN
fis-13	105	33	max	max	PROPN
fis-13	105	34	ick	ick	VERB
fis-13	105	35	k≅	k≅	ADV
fis-13	105	36	.	.	PUNCT
fis-13	106	1	as	as	ADP
fis-13	106	2	a	a	DET
fis-13	106	3	consequence	consequence	NOUN
fis-13	106	4	,	,	PUNCT
fis-13	106	5	it	it	PRON
fis-13	106	6	is	be	AUX
fis-13	106	7	possible	possible	ADJ
fis-13	106	8	to	to	PART
fis-13	106	9	correlate	correlate	VERB
fis-13	106	10	the	the	DET
fis-13	106	11	value	value	NOUN
fis-13	106	12	of	of	ADP
fis-13	106	13	crkδ	crkδ	NOUN
fis-13	106	14	with	with	ADP
fis-13	106	15	the	the	DET
fis-13	106	16	material	material	ADJ
fis-13	106	17	fracture	fracture	NOUN
fis-13	106	18	toughness	toughness	NOUN
fis-13	106	19	:	:	PUNCT
fis-13	106	20	(	(	PUNCT
fis-13	106	21	10	10	NUM
fis-13	106	22	)	)	PUNCT
fis-13	106	23	hence	hence	ADV
fis-13	106	24	,	,	PUNCT
fis-13	106	25	introducing	introduce	VERB
fis-13	106	26	eq	eq	X
fis-13	106	27	.	.	PUNCT
fis-13	107	1	(	(	PUNCT
fis-13	107	2	10	10	NUM
fis-13	107	3	)	)	PUNCT
fis-13	107	4	into	into	ADP
fis-13	107	5	eq	eq	NOUN
fis-13	107	6	.	.	PUNCT
fis-13	108	1	(	(	PUNCT
fis-13	108	2	9	9	NUM
fis-13	108	3	)	)	PUNCT
fis-13	108	4	,	,	PUNCT
fis-13	108	5	an	an	DET
fis-13	108	6	approximate	approximate	ADJ
fis-13	108	7	relationship	relationship	NOUN
fis-13	108	8	between	between	ADP
fis-13	108	9	the	the	DET
fis-13	108	10	paris	paris	PROPN
fis-13	108	11	’	'	PUNCT
fis-13	108	12	constants	constant	NOUN
fis-13	108	13	is	be	AUX
fis-13	108	14	derived	derive	VERB
fis-13	108	15	according	accord	VERB
fis-13	108	16	to	to	ADP
fis-13	108	17	the	the	DET
fis-13	108	18	condition	condition	NOUN
fis-13	108	19	that	that	SCONJ
fis-13	108	20	the	the	DET
fis-13	108	21	onset	onset	NOUN
fis-13	108	22	of	of	ADP
fis-13	108	23	the	the	DET
fis-13	108	24	paris	paris	PROPN
fis-13	108	25	’	'	PUNCT
fis-13	108	26	instability	instability	NOUN
fis-13	108	27	corresponds	correspond	VERB
fis-13	108	28	to	to	ADP
fis-13	108	29	the	the	DET
fis-13	108	30	griffith	griffith	PROPN
fis-13	108	31	-	-	PUNCT
fis-13	108	32	irwin	irwin	PROPN
fis-13	108	33	instability	instability	NOUN
fis-13	108	34	:	:	PUNCT
fis-13	108	35	(	(	PUNCT
fis-13	108	36	11	11	NUM
fis-13	108	37	)	)	PUNCT
fis-13	108	38	moreover	moreover	ADV
fis-13	108	39	,	,	PUNCT
fis-13	108	40	as	as	SCONJ
fis-13	108	41	regards	regard	VERB
fis-13	108	42	the	the	DET
fis-13	108	43	parameters	parameter	NOUN
fis-13	108	44	crv	crv	PROPN
fis-13	108	45	and	and	CCONJ
fis-13	108	46	ick	ick	AUX
fis-13	108	47	entering	enter	VERB
fis-13	108	48	eq	eq	ADP
fis-13	108	49	.	.	PUNCT
fis-13	109	1	(	(	PUNCT
fis-13	109	2	11	11	NUM
fis-13	109	3	)	)	PUNCT
fis-13	109	4	,	,	PUNCT
fis-13	109	5	it	it	PRON
fis-13	109	6	has	have	VERB
fis-13	109	7	to	to	PART
fis-13	109	8	be	be	AUX
fis-13	109	9	remarked	remark	VERB
fis-13	109	10	that	that	SCONJ
fis-13	109	11	they	they	PRON
fis-13	109	12	are	be	AUX
fis-13	109	13	almost	almost	ADV
fis-13	109	14	constant	constant	ADJ
fis-13	109	15	for	for	ADP
fis-13	109	16	each	each	DET
fis-13	109	17	class	class	NOUN
fis-13	109	18	of	of	ADP
fis-13	109	19	material	material	NOUN
fis-13	109	20	.	.	PUNCT
fis-13	110	1	the	the	DET
fis-13	110	2	dependence	dependence	NOUN
fis-13	110	3	on	on	ADP
fis-13	110	4	the	the	DET
fis-13	110	5	loading	loading	NOUN
fis-13	110	6	ratio	ratio	NOUN
fis-13	110	7	is	be	AUX
fis-13	110	8	also	also	ADV
fis-13	110	9	put	put	VERB
fis-13	110	10	into	into	ADP
fis-13	110	11	evidence	evidence	NOUN
fis-13	110	12	in	in	ADP
fis-13	110	13	eq	eq	ADP
fis-13	110	14	.	.	PUNCT
fis-13	111	1	(	(	PUNCT
fis-13	111	2	11	11	NUM
fis-13	111	3	)	)	PUNCT
fis-13	111	4	.	.	PUNCT
fis-13	112	1	a	a	DET
fis-13	112	2	closer	close	ADJ
fis-13	112	3	comparison	comparison	NOUN
fis-13	112	4	between	between	ADP
fis-13	112	5	eq	eq	PROPN
fis-13	112	6	.	.	PUNCT
fis-13	112	7	(	(	PUNCT
fis-13	112	8	11	11	NUM
fis-13	112	9	)	)	PUNCT
fis-13	112	10	and	and	CCONJ
fis-13	112	11	eq	eq	NOUN
fis-13	112	12	.	.	PUNCT
fis-13	113	1	(	(	PUNCT
fis-13	113	2	7	7	X
fis-13	113	3	)	)	PUNCT
fis-13	113	4	permits	permit	VERB
fis-13	113	5	to	to	PART
fis-13	113	6	clarify	clarify	VERB
fis-13	113	7	the	the	DET
fis-13	113	8	role	role	NOUN
fis-13	113	9	played	play	VERB
fis-13	113	10	by	by	ADP
fis-13	113	11	crv	crv	PROPN
fis-13	113	12	.	.	PUNCT
fis-13	114	1	in	in	ADP
fis-13	114	2	fact	fact	NOUN
fis-13	114	3	,	,	PUNCT
fis-13	114	4	eq	eq	ADJ
fis-13	114	5	.	.	PUNCT
fis-13	115	1	(	(	PUNCT
fis-13	115	2	11	11	NUM
fis-13	115	3	)	)	PUNCT
fis-13	115	4	corresponds	correspond	VERB
fis-13	115	5	to	to	ADP
fis-13	115	6	the	the	DET
fis-13	115	7	correlation	correlation	NOUN
fis-13	115	8	derived	derive	VERB
fis-13	115	9	according	accord	VERB
fis-13	115	10	to	to	ADP
fis-13	115	11	selfsimilarity	selfsimilarity	NOUN
fis-13	115	12	concepts	concept	NOUN
fis-13	115	13	when	when	SCONJ
fis-13	115	14	:	:	PUNCT
fis-13	115	15	(	(	PUNCT
fis-13	115	16	12	12	X
fis-13	115	17	)	)	PUNCT
fis-13	115	18	confirming	confirm	VERB
fis-13	115	19	the	the	DET
fis-13	115	20	experimental	experimental	ADJ
fis-13	115	21	observation	observation	NOUN
fis-13	115	22	reported	report	VERB
fis-13	115	23	in	in	ADP
fis-13	115	24	[	[	X
fis-13	115	25	3	3	X
fis-13	115	26	]	]	PUNCT
fis-13	115	27	that	that	SCONJ
fis-13	115	28	crv	crv	PROPN
fis-13	115	29	should	should	AUX
fis-13	115	30	depend	depend	VERB
fis-13	115	31	on	on	ADP
fis-13	115	32	the	the	DET
fis-13	115	33	material	material	NOUN
fis-13	115	34	properties	property	NOUN
fis-13	115	35	,	,	PUNCT
fis-13	115	36	on	on	ADP
fis-13	115	37	the	the	DET
fis-13	115	38	geometry	geometry	NOUN
fis-13	115	39	of	of	ADP
fis-13	115	40	the	the	DET
fis-13	115	41	tested	test	VERB
fis-13	115	42	specimen	speciman	NOUN
fis-13	115	43	,	,	PUNCT
fis-13	115	44	and	and	CCONJ
fis-13	115	45	on	on	ADP
fis-13	115	46	the	the	DET
fis-13	115	47	material	material	NOUN
fis-13	115	48	microstructure	microstructure	NOUN
fis-13	115	49	.	.	PUNCT
fis-13	116	1	therefore	therefore	ADV
fis-13	116	2	,	,	PUNCT
fis-13	116	3	considering	consider	VERB
fis-13	116	4	the	the	DET
fis-13	116	5	same	same	ADJ
fis-13	116	6	testing	testing	NOUN
fis-13	116	7	conditions	condition	NOUN
fis-13	116	8	,	,	PUNCT
fis-13	116	9	this	this	DET
fis-13	116	10	conventional	conventional	ADJ
fis-13	116	11	crack	crack	NOUN
fis-13	116	12	growth	growth	NOUN
fis-13	116	13	rate	rate	NOUN
fis-13	116	14	is	be	AUX
fis-13	116	15	almost	almost	ADV
fis-13	116	16	constant	constant	ADJ
fis-13	116	17	for	for	ADP
fis-13	116	18	each	each	DET
fis-13	116	19	class	class	NOUN
fis-13	116	20	of	of	ADP
fis-13	116	21	material	material	NOUN
fis-13	116	22	and	and	CCONJ
fis-13	116	23	eq	eq	NOUN
fis-13	116	24	.	.	PUNCT
fis-13	117	1	(	(	PUNCT
fis-13	117	2	11	11	NUM
fis-13	117	3	)	)	PUNCT
fis-13	117	4	establishes	establish	VERB
fis-13	117	5	a	a	DET
fis-13	117	6	one	one	NUM
fis-13	117	7	-	-	PUNCT
fis-13	117	8	to	to	ADP
fis-13	117	9	-	-	PUNCT
fis-13	117	10	one	one	NUM
fis-13	117	11	correspondence	correspondence	NOUN
fis-13	117	12	between	between	ADP
fis-13	117	13	the	the	DET
fis-13	117	14	c	c	PROPN
fis-13	117	15	and	and	CCONJ
fis-13	117	16	m	m	PROPN
fis-13	117	17	values	value	NOUN
fis-13	117	18	.	.	PUNCT
fis-13	118	1	4	4	NUM
fis-13	118	2	experimental	experimental	ADJ
fis-13	118	3	assessment	assessment	NOUN
fis-13	118	4	of	of	ADP
fis-13	118	5	the	the	DET
fis-13	118	6	proposed	propose	VERB
fis-13	118	7	correlation	correlation	NOUN
fis-13	118	8	:	:	PUNCT
fis-13	118	9	aluminium	aluminium	NOUN
fis-13	118	10	,	,	PUNCT
fis-13	118	11	titanium	titanium	NOUN
fis-13	118	12	and	and	CCONJ
fis-13	118	13	steel	steel	NOUN
fis-13	118	14	alloys	alloy	NOUN
fis-13	118	15	parameters	parameter	NOUN
fis-13	118	16	c	c	PROPN
fis-13	118	17	and	and	CCONJ
fis-13	118	18	m	m	AUX
fis-13	118	19	entering	enter	VERB
fis-13	118	20	the	the	DET
fis-13	118	21	paris	paris	PROPN
fis-13	118	22	’	'	PUNCT
fis-13	118	23	law	law	NOUN
fis-13	118	24	are	be	AUX
fis-13	118	25	usually	usually	ADV
fis-13	118	26	impossible	impossible	ADJ
fis-13	118	27	to	to	PART
fis-13	118	28	be	be	AUX
fis-13	118	29	estimated	estimate	VERB
fis-13	118	30	according	accord	VERB
fis-13	118	31	to	to	ADP
fis-13	118	32	theoretical	theoretical	ADJ
fis-13	118	33	considerations	consideration	NOUN
fis-13	118	34	and	and	CCONJ
fis-13	118	35	fatigue	fatigue	NOUN
fis-13	118	36	tests	test	NOUN
fis-13	118	37	have	have	VERB
fis-13	118	38	to	to	PART
fis-13	118	39	be	be	AUX
fis-13	118	40	performed	perform	VERB
fis-13	118	41	.	.	PUNCT
fis-13	119	1	however	however	ADV
fis-13	119	2	,	,	PUNCT
fis-13	119	3	many	many	ADJ
fis-13	119	4	authors	author	NOUN
fis-13	119	5	[	[	X
fis-13	119	6	3	3	NUM
fis-13	119	7	,	,	PUNCT
fis-13	119	8	13	13	NUM
fis-13	119	9	,	,	PUNCT
fis-13	119	10	29	29	NUM
fis-13	119	11	]	]	PUNCT
fis-13	119	12	experimentally	experimentally	ADV
fis-13	119	13	observed	observe	VERB
fis-13	119	14	a	a	DET
fis-13	119	15	very	very	ADV
fis-13	119	16	stable	stable	ADJ
fis-13	119	17	relationship	relationship	NOUN
fis-13	119	18	between	between	ADP
fis-13	119	19	the	the	DET
fis-13	119	20	parameters	parameter	NOUN
fis-13	119	21	c	c	PROPN
fis-13	119	22	and	and	CCONJ
fis-13	119	23	m	m	PROPN
fis-13	119	24	,	,	PUNCT
fis-13	119	25	which	which	PRON
fis-13	119	26	is	be	AUX
fis-13	119	27	usually	usually	ADV
fis-13	119	28	represented	represent	VERB
fis-13	119	29	by	by	ADP
fis-13	119	30	the	the	DET
fis-13	119	31	following	follow	VERB
fis-13	119	32	empirical	empirical	ADJ
fis-13	119	33	formula	formula	NOUN
fis-13	119	34	:	:	PUNCT
fis-13	119	35	(	(	PUNCT
fis-13	119	36	13	13	NUM
fis-13	119	37	)	)	PUNCT
fis-13	119	38	usually	usually	ADV
fis-13	119	39	written	write	VERB
fis-13	119	40	in	in	ADP
fis-13	119	41	a	a	DET
fis-13	119	42	logarithmic	logarithmic	ADJ
fis-13	119	43	form	form	NOUN
fis-13	119	44	:	:	PUNCT
fis-13	119	45	(	(	PUNCT
fis-13	119	46	14	14	X
fis-13	119	47	)	)	PUNCT
fis-13	119	48	taking	take	VERB
fis-13	119	49	the	the	DET
fis-13	119	50	logarithm	logarithm	NOUN
fis-13	119	51	of	of	ADP
fis-13	119	52	both	both	DET
fis-13	119	53	sides	side	NOUN
fis-13	119	54	of	of	ADP
fis-13	119	55	the	the	DET
fis-13	119	56	theoretically	theoretically	ADV
fis-13	119	57	based	base	VERB
fis-13	119	58	relationship	relationship	NOUN
fis-13	119	59	between	between	ADP
fis-13	119	60	c	c	PROPN
fis-13	119	61	and	and	CCONJ
fis-13	119	62	m	m	VERB
fis-13	119	63	in	in	ADP
fis-13	119	64	eq	eq	ADP
fis-13	119	65	.	.	PUNCT
fis-13	120	1	(	(	PUNCT
fis-13	120	2	11	11	NUM
fis-13	120	3	)	)	PUNCT
fis-13	120	4	,	,	PUNCT
fis-13	120	5	we	we	PRON
fis-13	120	6	obtain	obtain	VERB
fis-13	120	7	(	(	PUNCT
fis-13	120	8	15	15	NUM
fis-13	120	9	)	)	PUNCT
fis-13	120	10	which	which	PRON
fis-13	120	11	corresponds	correspond	VERB
fis-13	120	12	to	to	ADP
fis-13	120	13	eq	eq	NOUN
fis-13	120	14	.	.	PUNCT
fis-13	121	1	(	(	PUNCT
fis-13	121	2	14	14	NUM
fis-13	121	3	)	)	PUNCT
fis-13	121	4	if	if	SCONJ
fis-13	121	5	(	(	PUNCT
fis-13	121	6	16	16	NUM
fis-13	121	7	)	)	PUNCT
fis-13	121	8	in	in	ADP
fis-13	121	9	order	order	NOUN
fis-13	121	10	to	to	PART
fis-13	121	11	check	check	VERB
fis-13	121	12	the	the	DET
fis-13	121	13	validity	validity	NOUN
fis-13	121	14	of	of	ADP
fis-13	121	15	the	the	DET
fis-13	121	16	proposed	propose	VERB
fis-13	121	17	correlation	correlation	NOUN
fis-13	121	18	derived	derive	VERB
fis-13	121	19	according	accord	VERB
fis-13	121	20	to	to	ADP
fis-13	121	21	the	the	DET
fis-13	121	22	instability	instability	NOUN
fis-13	121	23	condition	condition	NOUN
fis-13	121	24	of	of	ADP
fis-13	121	25	the	the	DET
fis-13	121	26	crack	crack	NOUN
fis-13	121	27	growth	growth	NOUN
fis-13	121	28	,	,	PUNCT
fis-13	121	29	an	an	DET
fis-13	121	30	experimental	experimental	ADJ
fis-13	121	31	assessment	assessment	NOUN
fis-13	121	32	is	be	AUX
fis-13	121	33	performed	perform	VERB
fis-13	121	34	by	by	ADP
fis-13	121	35	comparing	compare	VERB
fis-13	121	36	the	the	DET
fis-13	121	37	experimentally	experimentally	ADV
fis-13	121	38	determined	determine	VERB
fis-13	121	39	values	value	NOUN
fis-13	121	40	of	of	ADP
fis-13	121	41	b	b	NOUN
fis-13	121	42	with	with	ADP
fis-13	121	43	those	those	PRON
fis-13	121	44	theoretically	theoretically	ADV
fis-13	121	45	predicted	predict	VERB
fis-13	121	46	according	accord	VERB
fis-13	121	47	to	to	ADP
fis-13	121	48	eq	eq	PROPN
fis-13	121	49	.	.	PUNCT
fis-13	122	1	(	(	PUNCT
fis-13	122	2	16	16	NUM
fis-13	122	3	)	)	PUNCT
fis-13	122	4	.	.	PUNCT
fis-13	123	1	concerning	concern	VERB
fis-13	123	2	steels	steel	NOUN
fis-13	123	3	and	and	CCONJ
fis-13	123	4	aluminium	aluminium	NOUN
fis-13	123	5	alloys	alloy	NOUN
fis-13	123	6	,	,	PUNCT
fis-13	123	7	radhakrishnan	radhakrishnan	PROPN
fis-13	123	8	[	[	X
fis-13	123	9	13	13	NUM
fis-13	123	10	]	]	PUNCT
fis-13	123	11	collected	collect	VERB
fis-13	123	12	a	a	DET
fis-13	123	13	number	number	NOUN
fis-13	123	14	of	of	ADP
fis-13	123	15	data	datum	NOUN
fis-13	123	16	from	from	ADP
fis-13	123	17	various	various	ADJ
fis-13	123	18	sources	source	NOUN
fis-13	123	19	and	and	CCONJ
fis-13	123	20	proposed	propose	VERB
fis-13	123	21	the	the	DET
fis-13	123	22	following	follow	VERB
fis-13	123	23	least	least	ADJ
fis-13	123	24	square	square	ADJ
fis-13	123	25	fit	fit	ADJ
fis-13	123	26	relationships	relationship	NOUN
fis-13	123	27	(	(	PUNCT
fis-13	123	28	kδ	kδ	ADP
fis-13	123	29	being	be	AUX
fis-13	123	30	in	in	ADP
fis-13	123	31	mpa√m	mpa√m	NOUN
fis-13	123	32	and	and	CCONJ
fis-13	123	33	da	da	NOUN
fis-13	123	34	/	/	SYM
fis-13	123	35	dn	dn	NOUN
fis-13	123	36	in	in	ADP
fis-13	123	37	m	m	NOUN
fis-13	123	38	/	/	SYM
fis-13	123	39	cycle	cycle	NOUN
fis-13	123	40	):	):	PUNCT
fis-13	123	41	(	(	PUNCT
fis-13	123	42	17	17	NUM
fis-13	123	43	)	)	PUNCT
fis-13	123	44	in	in	ADP
fis-13	123	45	order	order	NOUN
fis-13	123	46	to	to	PART
fis-13	123	47	compare	compare	VERB
fis-13	123	48	the	the	DET
fis-13	123	49	prediction	prediction	NOUN
fis-13	123	50	of	of	ADP
fis-13	123	51	our	our	PRON
fis-13	123	52	proposed	propose	VERB
fis-13	123	53	correlation	correlation	NOUN
fis-13	123	54	with	with	ADP
fis-13	123	55	the	the	DET
fis-13	123	56	experimentally	experimentally	ADV
fis-13	123	57	determined	determine	VERB
fis-13	123	58	values	value	NOUN
fis-13	123	59	of	of	ADP
fis-13	123	60	b	b	PROPN
fis-13	123	61	,	,	PUNCT
fis-13	123	62	parameters	parameter	NOUN
fis-13	123	63	m	m	VERB
fis-13	123	64	and	and	CCONJ
fis-13	123	65	kic	kic	PROPN
fis-13	123	66	have	have	VERB
fis-13	123	67	to	to	PART
fis-13	123	68	be	be	AUX
fis-13	123	69	known	know	VERB
fis-13	123	70	in	in	ADP
fis-13	123	71	advance	advance	NOUN
fis-13	123	72	.	.	PUNCT
fis-13	124	1	however	however	ADV
fis-13	124	2	,	,	PUNCT
fis-13	124	3	only	only	ADV
fis-13	124	4	in	in	ADP
fis-13	124	5	a	a	DET
fis-13	124	6	few	few	ADJ
fis-13	124	7	studies	study	NOUN
fis-13	124	8	both	both	CCONJ
fis-13	124	9	the	the	DET
fis-13	124	10	values	value	NOUN
fis-13	124	11	of	of	ADP
fis-13	124	12	the	the	DET
fis-13	124	13	fatigue	fatigue	NOUN
fis-13	124	14	parameters	parameter	NOUN
fis-13	124	15	and	and	CCONJ
fis-13	124	16	of	of	ADP
fis-13	124	17	the	the	DET
fis-13	124	18	fracture	fracture	NOUN
fis-13	124	19	toughness	toughness	NOUN
fis-13	124	20	are	be	AUX
fis-13	124	21	experimentally	experimentally	ADV
fis-13	124	22	determined	determine	VERB
fis-13	124	23	and	and	CCONJ
fis-13	124	24	reported	report	VERB
fis-13	124	25	.	.	PUNCT
fis-13	125	1	therefore	therefore	ADV
fis-13	125	2	,	,	PUNCT
fis-13	125	3	to	to	PART
fis-13	125	4	avoid	avoid	VERB
fis-13	125	5	experimental	experimental	ADJ
fis-13	125	6	tests	test	NOUN
fis-13	125	7	,	,	PUNCT
fis-13	125	8	the	the	DET
fis-13	125	9	values	value	NOUN
fis-13	125	10	of	of	ADP
fis-13	125	11	the	the	DET
fis-13	125	12	material	material	NOUN
fis-13	125	13	fracture	fracture	NOUN
fis-13	125	14	toughness	toughness	NOUN
fis-13	125	15	are	be	AUX
fis-13	125	16	taken	take	VERB
fis-13	125	17	from	from	ADP
fis-13	125	18	selected	select	VERB
fis-13	125	19	handbooks	handbook	NOUN
fis-13	125	20	.	.	PUNCT
fis-13	126	1	concerning	concern	VERB
fis-13	126	2	steels	steel	NOUN
fis-13	126	3	,	,	PUNCT
fis-13	126	4	we	we	PRON
fis-13	126	5	assume	assume	VERB
fis-13	126	6	a	a	PRON
fis-13	126	7	=	=	X
fis-13	126	8	crv	crv	PROPN
fis-13	127	1	=	=	SYM
fis-13	128	1	7.6x10	7.6x10	NUM
fis-13	128	2	-	-	SYM
fis-13	128	3	7	7	NUM
fis-13	128	4	m	m	PROPN
fis-13	128	5	/	/	SYM
fis-13	128	6	cycle	cycle	NOUN
fis-13	128	7	,	,	PUNCT
fis-13	128	8	as	as	SCONJ
fis-13	128	9	experimentally	experimentally	ADV
fis-13	128	10	determined	determine	VERB
fis-13	128	11	by	by	ADP
fis-13	128	12	radhakrishnan	radhakrishnan	PROPN
fis-13	128	13	,	,	PUNCT
fis-13	128	14	0r	0r	X
fis-13	129	1	=	=	X
fis-13	129	2	,	,	PUNCT
fis-13	129	3	and	and	CCONJ
fis-13	129	4	we	we	PRON
fis-13	129	5	try	try	VERB
fis-13	129	6	to	to	PART
fis-13	129	7	estimate	estimate	VERB
fis-13	129	8	the	the	DET
fis-13	129	9	parameter	parameter	NOUN
fis-13	129	10	b	b	PROPN
fis-13	129	11	on	on	ADP
fis-13	129	12	the	the	DET
fis-13	129	13	basis	basis	NOUN
fis-13	129	14	of	of	ADP
fis-13	129	15	the	the	DET
fis-13	129	16	values	value	NOUN
fis-13	129	17	of	of	ADP
fis-13	129	18	the	the	DET
fis-13	129	19	fracture	fracture	ADJ
fis-13	129	20	toughness	toughness	NOUN
fis-13	129	21	proposed	propose	VERB
fis-13	129	22	in	in	ADP
fis-13	129	23	the	the	DET
fis-13	129	24	asm	asm	NOUN
fis-13	129	25	handbook	handbook	NOUN
fis-13	129	26	[	[	X
fis-13	129	27	30	30	NUM
fis-13	129	28	]	]	PUNCT
fis-13	129	29	.	.	PUNCT
fis-13	130	1	this	this	DET
fis-13	130	2	book	book	NOUN
fis-13	130	3	provides	provide	VERB
fis-13	130	4	a	a	DET
fis-13	130	5	collection	collection	NOUN
fis-13	130	6	of	of	ADP
fis-13	130	7	values	value	NOUN
fis-13	130	8	in	in	ADP
fis-13	130	9	a	a	DET
fis-13	130	10	diagram	diagram	NOUN
fis-13	130	11	kic	kic	PROPN
fis-13	130	12	vs.	vs.	CCONJ
fis-13	130	13	both	both	CCONJ
fis-13	130	14	the	the	DET
fis-13	130	15	prior	prior	ADJ
fis-13	130	16	austenite	austenite	ADJ
fis-13	130	17	grain	grain	NOUN
fis-13	130	18	size	size	NOUN
fis-13	130	19	,	,	PUNCT
fis-13	130	20	and	and	CCONJ
fis-13	130	21	the	the	DET
fis-13	130	22	temperature	temperature	NOUN
fis-13	130	23	test	test	NOUN
fis-13	130	24	.	.	PUNCT
fis-13	131	1	over	over	ADP
fis-13	131	2	a	a	DET
fis-13	131	3	large	large	ADJ
fis-13	131	4	range	range	NOUN
fis-13	131	5	of	of	ADP
fis-13	131	6	temperatures	temperature	NOUN
fis-13	131	7	(	(	PUNCT
fis-13	131	8	t	t	PROPN
fis-13	131	9	from	from	ADP
fis-13	131	10	–	–	PUNCT
fis-13	131	11	269	269	NUM
fis-13	131	12	°	°	NOUN
fis-13	131	13	c	c	NOUN
fis-13	131	14	to	to	ADP
fis-13	131	15	27	27	NUM
fis-13	131	16	°	°	NOUN
fis-13	131	17	c	c	NOUN
fis-13	131	18	)	)	PUNCT
fis-13	131	19	and	and	CCONJ
fis-13	131	20	grain	grain	NOUN
fis-13	131	21	sizes	size	NOUN
fis-13	131	22	(	(	PUNCT
fis-13	131	23	d	d	NOUN
fis-13	131	24	from	from	ADP
fis-13	131	25	1	1	NUM
fis-13	131	26	μm	μm	NOUN
fis-13	131	27	to	to	ADP
fis-13	131	28	16	16	NUM
fis-13	131	29	μm	μm	NUM
fis-13	131	30	)	)	PUNCT
fis-13	131	31	,	,	PUNCT
fis-13	131	32	ick	ick	INTJ
fis-13	131	33	varies	vary	VERB
fis-13	131	34	from	from	ADP
fis-13	131	35	20	20	NUM
fis-13	131	36	mpa√m	mpa√m	NOUN
fis-13	131	37	to	to	ADP
fis-13	131	38	100	100	NUM
fis-13	131	39	mpa√m	mpa√m	NOUN
fis-13	131	40	with	with	ADP
fis-13	131	41	an	an	DET
fis-13	131	42	average	average	ADJ
fis-13	131	43	value	value	NOUN
fis-13	131	44	of	of	ADP
fis-13	131	45	ic	ic	PROPN
fis-13	131	46	60k	60k	NOUN
fis-13	131	47	=	=	SYM
fis-13	131	48	mpa√m	mpa√m	PROPN
fis-13	131	49	.	.	PUNCT
fis-13	132	1	the	the	DET
fis-13	132	2	comparison	comparison	NOUN
fis-13	132	3	can	can	AUX
fis-13	132	4	also	also	ADV
fis-13	132	5	be	be	AUX
fis-13	132	6	extended	extend	VERB
fis-13	132	7	to	to	ADP
fis-13	132	8	aluminium	aluminium	NOUN
fis-13	132	9	alloys	alloy	NOUN
fis-13	132	10	.	.	PUNCT
fis-13	133	1	according	accord	VERB
fis-13	133	2	to	to	ADP
fis-13	133	3	the	the	DET
fis-13	133	4	same	same	ADJ
fis-13	133	5	procedure	procedure	NOUN
fis-13	133	6	discussed	discuss	VERB
fis-13	133	7	above	above	ADV
fis-13	133	8	,	,	PUNCT
fis-13	133	9	the	the	DET
fis-13	133	10	estimated	estimate	VERB
fis-13	133	11	average	average	ADJ
fis-13	133	12	value	value	NOUN
fis-13	133	13	of	of	ADP
fis-13	133	14	the	the	DET
fis-13	133	15	critical	critical	ADJ
fis-13	133	16	stress	stress	NOUN
fis-13	133	17	-	-	PUNCT
fis-13	133	18	intensity	intensity	NOUN
fis-13	133	19	factor	factor	NOUN
fis-13	133	20	from	from	ADP
fis-13	133	21	handbooks	handbook	NOUN
fis-13	133	22	[	[	X
fis-13	133	23	30–33	30–33	NUM
fis-13	133	24	]	]	PUNCT
fis-13	133	25	is	be	AUX
fis-13	133	26	equal	equal	ADJ
fis-13	133	27	to	to	ADP
fis-13	133	28	ic	ic	PROPN
fis-13	133	29	35k	35k	NOUN
fis-13	133	30	=	=	PUNCT
fis-13	133	31	mpa√m	mpa√m	NOUN
fis-13	133	32	with	with	ADP
fis-13	133	33	minimum	minimum	NOUN
fis-13	133	34	and	and	CCONJ
fis-13	133	35	maximum	maximum	ADJ
fis-13	133	36	values	value	NOUN
fis-13	133	37	equal	equal	ADJ
fis-13	133	38	to	to	ADP
fis-13	133	39	15	15	NUM
fis-13	133	40	mpa√m	mpa√m	NOUN
fis-13	133	41	and	and	CCONJ
fis-13	133	42	49	49	NUM
fis-13	133	43	mpa√m	mpa√m	NOUN
fis-13	133	44	,	,	PUNCT
fis-13	133	45	respectively	respectively	ADV
fis-13	133	46	.	.	PUNCT
fis-13	134	1	using	use	VERB
fis-13	134	2	the	the	DET
fis-13	134	3	average	average	ADJ
fis-13	134	4	values	value	NOUN
fis-13	134	5	we	we	PRON
fis-13	134	6	find	find	VERB
fis-13	134	7	:	:	PUNCT
fis-13	134	8	(	(	PUNCT
fis-13	134	9	18	18	NUM
fis-13	134	10	)	)	PUNCT
fis-13	134	11	cr	cr	NOUN
fis-13	134	12	ic(1	ic(1	NOUN
fis-13	134	13	)	)	PUNCT
fis-13	135	1	k	k	NOUN
fis-13	135	2	r	r	NOUN
fis-13	135	3	kδ	kδ	NOUN
fis-13	135	4	=	=	PUNCT
fis-13	135	5	−	−	PROPN
fis-13	135	6	cr	cr	NOUN
fis-13	135	7	ic	ic	PROPN
fis-13	135	8	1	1	NUM
fis-13	135	9	(	(	PUNCT
fis-13	135	10	1	1	NUM
fis-13	135	11	)	)	PUNCT
fis-13	135	12	m	m	VERB
fis-13	135	13	c	c	NOUN
fis-13	135	14	v	v	NOUN
fis-13	135	15	r	r	NOUN
fis-13	135	16	k	k	PROPN
fis-13	135	17	⎡	⎡	VERB
fis-13	135	18	⎤	⎤	PROPN
fis-13	135	19	≅	≅	PROPN
fis-13	135	20	⎢	⎢	NOUN
fis-13	135	21	⎥−⎣	⎥−⎣	PROPN
fis-13	135	22	⎦	⎦	NOUN
fis-13	135	23	(	(	PUNCT
fis-13	135	24	)	)	PUNCT
fis-13	135	25	1	1	NUM
fis-13	135	26	2	2	NUM
fis-13	135	27	2	2	NUM
fis-13	135	28	ic	ic	PROPN
fis-13	135	29	cr	cr	PROPN
fis-13	135	30	2	2	NUM
fis-13	135	31	2	2	NUM
fis-13	135	32	3	3	NUM
fis-13	135	33	4	4	NUM
fis-13	135	34	y	y	NOUN
fis-13	135	35	,	,	PUNCT
fis-13	135	36	,	,	PUNCT
fis-13	135	37	,	,	PUNCT
fis-13	135	38	,	,	PUNCT
fis-13	135	39	m	m	VERB
fis-13	135	40	kv	kv	PROPN
fis-13	135	41	β	β	X
fis-13	135	42	β	β	X
fis-13	135	43	σ	σ	X
fis-13	135	44	=	=	PUNCT
fis-13	135	45	=	=	PUNCT
fis-13	135	46	−	−	NOUN
fis-13	135	47	⎛	⎛	NOUN
fis-13	135	48	⎞	⎞	NOUN
fis-13	135	49	=	=	SYM
fis-13	136	1	φ	φ	PROPN
fis-13	136	2	π	π	PROPN
fis-13	136	3	π	π	X
fis-13	136	4	π⎜	π⎜	PROPN
fis-13	136	5	⎟⎜	⎟⎜	VERB
fis-13	136	6	⎟	⎟	X
fis-13	136	7	⎝	⎝	PUNCT
fis-13	136	8	⎠	⎠	PROPN
fis-13	136	9	mc	mc	PROPN
fis-13	136	10	ab=	ab=	PROPN
fis-13	136	11	log	log	VERB
fis-13	136	12	log	log	NOUN
fis-13	136	13	logc	logc	VERB
fis-13	136	14	a	a	DET
fis-13	136	15	m	m	NOUN
fis-13	136	16	b=	b=	NOUN
fis-13	136	17	+	+	CCONJ
fis-13	136	18	cr	cr	PROPN
fis-13	136	19	ic	ic	PROPN
fis-13	136	20	1log	1log	NUM
fis-13	136	21	log	log	NOUN
fis-13	136	22	log	log	NOUN
fis-13	136	23	(	(	PUNCT
fis-13	136	24	1	1	NUM
fis-13	136	25	)	)	PUNCT
fis-13	136	26	c	c	NOUN
fis-13	136	27	v	v	NOUN
fis-13	136	28	m	m	NOUN
fis-13	136	29	r	r	NOUN
fis-13	136	30	k	k	NOUN
fis-13	136	31	⎡	⎡	VERB
fis-13	136	32	⎤	⎤	X
fis-13	137	1	=	=	PUNCT
fis-13	137	2	+	+	NUM
fis-13	137	3	⎢	⎢	NOUN
fis-13	137	4	⎥−⎣	⎥−⎣	NOUN
fis-13	137	5	⎦	⎦	NOUN
fis-13	137	6	cr	cr	PROPN
fis-13	137	7	ic	ic	PROPN
fis-13	137	8	,	,	PUNCT
fis-13	137	9	1	1	NUM
fis-13	137	10	.	.	PUNCT
fis-13	138	1	(	(	PUNCT
fis-13	138	2	1	1	X
fis-13	138	3	)	)	PUNCT
fis-13	138	4	a	a	DET
fis-13	138	5	v	v	NOUN
fis-13	138	6	b	b	NOUN
fis-13	138	7	r	r	NOUN
fis-13	138	8	k	k	NOUN
fis-13	139	1	=	=	PUNCT
fis-13	140	1	=	=	PUNCT
fis-13	141	1	−	−	PROPN
fis-13	141	2	7	7	NUM
fis-13	141	3	2	2	NUM
fis-13	141	4	6	6	NUM
fis-13	141	5	2	2	NUM
fis-13	141	6	log	log	NOUN
fis-13	141	7	log(7.6	log(7.6	NUM
fis-13	141	8	10	10	NUM
fis-13	141	9	)	)	PUNCT
fis-13	141	10	log(1.81	log(1.81	NOUN
fis-13	141	11	10	10	NUM
fis-13	141	12	)	)	PUNCT
fis-13	141	13	for	for	ADP
fis-13	141	14	steels	steel	NOUN
fis-13	141	15	,	,	PUNCT
fis-13	141	16	log	log	VERB
fis-13	141	17	log(2.5	log(2.5	NUM
fis-13	141	18	10	10	NUM
fis-13	141	19	)	)	PUNCT
fis-13	141	20	log(4.26	log(4.26	ADJ
fis-13	141	21	10	10	NUM
fis-13	141	22	)	)	PUNCT
fis-13	141	23	for	for	ADP
fis-13	141	24	al	al	PROPN
fis-13	141	25	alloys	alloy	NOUN
fis-13	141	26	.	.	PUNCT
fis-13	142	1	c	c	NOUN
fis-13	143	1	m	m	VERB
fis-13	143	2	c	c	NOUN
fis-13	143	3	m	m	NOUN
fis-13	143	4	−	−	NOUN
fis-13	143	5	−	−	NOUN
fis-13	144	1	−	−	NOUN
fis-13	144	2	−	−	PROPN
fis-13	145	1	=	=	SYM
fis-13	145	2	×	×	NOUN
fis-13	145	3	+	+	CCONJ
fis-13	145	4	×	×	NOUN
fis-13	145	5	=	=	SYM
fis-13	145	6	×	×	NOUN
fis-13	146	1	+	+	CCONJ
fis-13	146	2	×	×	NOUN
fis-13	146	3	7	7	NUM
fis-13	146	4	2	2	NUM
fis-13	146	5	6	6	NUM
fis-13	146	6	2	2	NUM
fis-13	146	7	log	log	NOUN
fis-13	146	8	log(7.6	log(7.6	NUM
fis-13	146	9	10	10	NUM
fis-13	146	10	)	)	PUNCT
fis-13	146	11	log(1.67	log(1.67	NUM
fis-13	146	12	10	10	NUM
fis-13	146	13	)	)	PUNCT
fis-13	146	14	for	for	ADP
fis-13	146	15	steels	steel	NOUN
fis-13	146	16	,	,	PUNCT
fis-13	146	17	log	log	VERB
fis-13	146	18	log(2.5	log(2.5	NUM
fis-13	146	19	10	10	NUM
fis-13	146	20	)	)	PUNCT
fis-13	146	21	log(2.86	log(2.86	X
fis-13	146	22	10	10	NUM
fis-13	146	23	)	)	PUNCT
fis-13	146	24	for	for	ADP
fis-13	146	25	al	al	PROPN
fis-13	146	26	alloys	alloy	NOUN
fis-13	146	27	.	.	PUNCT
fis-13	147	1	c	c	NOUN
fis-13	148	1	m	m	VERB
fis-13	148	2	c	c	NOUN
fis-13	148	3	m	m	NOUN
fis-13	148	4	−	−	NOUN
fis-13	148	5	−	−	NOUN
fis-13	149	1	−	−	NOUN
fis-13	149	2	−	−	PROPN
fis-13	150	1	≅	≅	NUM
fis-13	150	2	×	×	PROPN
fis-13	151	1	+	+	CCONJ
fis-13	151	2	×	×	PROPN
fis-13	151	3	≅	≅	NUM
fis-13	151	4	×	×	NOUN
fis-13	151	5	+	+	CCONJ
fis-13	151	6	×	×	PROPN
fis-13	151	7	al	al	PROPN
fis-13	151	8	.	.	PUNCT
fis-13	151	9	carpinteri	carpinteri	PROPN
fis-13	151	10	et	et	PROPN
fis-13	151	11	al	al	PROPN
fis-13	151	12	.	.	PROPN
fis-13	151	13	,	,	PUNCT
fis-13	151	14	frattura	frattura	PROPN
fis-13	151	15	ed	ed	PROPN
fis-13	151	16	integrità	integrità	PROPN
fis-13	151	17	strutturale	strutturale	PROPN
fis-13	151	18	,	,	PUNCT
fis-13	151	19	2	2	NUM
fis-13	151	20	(	(	PUNCT
fis-13	151	21	2007	2007	NUM
fis-13	151	22	)	)	PUNCT
fis-13	151	23	10	10	NUM
fis-13	151	24	-	-	SYM
fis-13	151	25	16	16	NUM
fis-13	151	26	14	14	NUM
fis-13	151	27	in	in	ADP
fis-13	151	28	both	both	DET
fis-13	151	29	cases	case	NOUN
fis-13	151	30	,	,	PUNCT
fis-13	151	31	a	a	DET
fis-13	151	32	good	good	ADJ
fis-13	151	33	agreement	agreement	NOUN
fis-13	151	34	between	between	ADP
fis-13	151	35	the	the	DET
fis-13	151	36	proposed	propose	VERB
fis-13	151	37	estimation	estimation	NOUN
fis-13	151	38	based	base	VERB
fis-13	151	39	on	on	ADP
fis-13	151	40	an	an	DET
fis-13	151	41	average	average	ADJ
fis-13	151	42	value	value	NOUN
fis-13	151	43	of	of	ADP
fis-13	151	44	the	the	DET
fis-13	151	45	critical	critical	ADJ
fis-13	151	46	stress	stress	NOUN
fis-13	151	47	-	-	PUNCT
fis-13	151	48	intensity	intensity	NOUN
fis-13	151	49	factor	factor	NOUN
fis-13	151	50	and	and	CCONJ
fis-13	151	51	the	the	DET
fis-13	151	52	experimental	experimental	ADJ
fis-13	151	53	relationships	relationship	NOUN
fis-13	151	54	in	in	ADP
fis-13	151	55	eq	eq	ADP
fis-13	151	56	.	.	PUNCT
fis-13	152	1	(	(	PUNCT
fis-13	152	2	17	17	NUM
fis-13	152	3	)	)	PUNCT
fis-13	152	4	is	be	AUX
fis-13	152	5	achieved	achieve	VERB
fis-13	152	6	.	.	PUNCT
fis-13	153	1	another	another	DET
fis-13	153	2	source	source	NOUN
fis-13	153	3	of	of	ADP
fis-13	153	4	experimental	experimental	ADJ
fis-13	153	5	data	datum	NOUN
fis-13	153	6	is	be	AUX
fis-13	153	7	[	[	X
fis-13	153	8	34	34	NUM
fis-13	153	9	]	]	PUNCT
fis-13	153	10	,	,	PUNCT
fis-13	153	11	and	and	CCONJ
fis-13	153	12	is	be	AUX
fis-13	153	13	based	base	VERB
fis-13	153	14	on	on	ADP
fis-13	153	15	the	the	DET
fis-13	153	16	nasgro	nasgro	PROPN
fis-13	153	17	program	program	NOUN
fis-13	153	18	[	[	X
fis-13	153	19	35	35	NUM
fis-13	153	20	]	]	PUNCT
fis-13	153	21	,	,	PUNCT
fis-13	153	22	which	which	PRON
fis-13	153	23	is	be	AUX
fis-13	153	24	one	one	NUM
fis-13	153	25	of	of	ADP
fis-13	153	26	the	the	DET
fis-13	153	27	most	most	ADV
fis-13	153	28	comprehensive	comprehensive	ADJ
fis-13	153	29	database	database	NOUN
fis-13	153	30	of	of	ADP
fis-13	153	31	fatigue	fatigue	NOUN
fis-13	153	32	crack	crack	VERB
fis-13	153	33	growth	growth	NOUN
fis-13	153	34	curves	curve	NOUN
fis-13	153	35	for	for	ADP
fis-13	153	36	aerospace	aerospace	NOUN
fis-13	153	37	alloys	alloy	NOUN
fis-13	153	38	.	.	PUNCT
fis-13	154	1	these	these	DET
fis-13	154	2	experimental	experimental	ADJ
fis-13	154	3	data	datum	NOUN
fis-13	154	4	concern	concern	NOUN
fis-13	154	5	the	the	DET
fis-13	154	6	material	material	NOUN
fis-13	154	7	fracture	fracture	NOUN
fis-13	154	8	toughness	toughness	NOUN
fis-13	154	9	,	,	PUNCT
fis-13	154	10	the	the	DET
fis-13	154	11	paris	paris	PROPN
fis-13	154	12	’	'	PUNCT
fis-13	154	13	law	law	NOUN
fis-13	154	14	parameters	parameter	NOUN
fis-13	154	15	,	,	PUNCT
fis-13	154	16	as	as	ADV
fis-13	154	17	well	well	ADV
fis-13	154	18	as	as	ADP
fis-13	154	19	the	the	DET
fis-13	154	20	crack	crack	NOUN
fis-13	154	21	growth	growth	NOUN
fis-13	154	22	rate	rate	NOUN
fis-13	154	23	corresponding	correspond	VERB
fis-13	154	24	to	to	ADP
fis-13	154	25	kmax	kmax	PROPN
fis-13	154	26	≅	≅	PROPN
fis-13	154	27	kic	kic	PROPN
fis-13	154	28	for	for	ADP
fis-13	154	29	fatigue	fatigue	NOUN
fis-13	154	30	tests	test	NOUN
fis-13	154	31	characterized	characterize	VERB
fis-13	154	32	by	by	ADP
fis-13	154	33	0r	0r	X
fis-13	154	34	=	=	SYM
fis-13	154	35	(	(	PUNCT
fis-13	154	36	see	see	VERB
fis-13	154	37	tab	tab	NOUN
fis-13	154	38	.	.	PUNCT
fis-13	154	39	2	2	NUM
fis-13	154	40	)	)	PUNCT
fis-13	154	41	.	.	PUNCT
fis-13	155	1	as	as	SCONJ
fis-13	155	2	previously	previously	ADV
fis-13	155	3	outlined	outline	VERB
fis-13	155	4	,	,	PUNCT
fis-13	155	5	the	the	DET
fis-13	155	6	fracture	fracture	ADJ
fis-13	155	7	toughness	toughness	NOUN
fis-13	155	8	data	datum	NOUN
fis-13	155	9	and	and	CCONJ
fis-13	155	10	the	the	DET
fis-13	155	11	values	value	NOUN
fis-13	155	12	of	of	ADP
fis-13	155	13	νcr	νcr	NOUN
fis-13	155	14	are	be	AUX
fis-13	155	15	almost	almost	ADV
fis-13	155	16	constant	constant	ADJ
fis-13	155	17	for	for	ADP
fis-13	155	18	each	each	DET
fis-13	155	19	class	class	NOUN
fis-13	155	20	of	of	ADP
fis-13	155	21	materials	material	NOUN
fis-13	155	22	.	.	PUNCT
fis-13	156	1	this	this	DET
fis-13	156	2	property	property	NOUN
fis-13	156	3	is	be	AUX
fis-13	156	4	very	very	ADV
fis-13	156	5	well	well	ADV
fis-13	156	6	evidenced	evidence	VERB
fis-13	156	7	by	by	ADP
fis-13	156	8	the	the	DET
fis-13	156	9	2219	2219	NUM
fis-13	156	10	-	-	PUNCT
fis-13	156	11	t62	t62	NOUN
fis-13	156	12	,	,	PUNCT
fis-13	156	13	2219	2219	NUM
fis-13	156	14	-	-	PUNCT
fis-13	156	15	t87	t87	NOUN
fis-13	156	16	,	,	PUNCT
fis-13	156	17	6061	6061	NUM
fis-13	156	18	-	-	SYM
fis-13	156	19	t62	t62	NOUN
fis-13	156	20	and	and	CCONJ
fis-13	156	21	7075	7075	NUM
fis-13	156	22	-	-	PUNCT
fis-13	156	23	t73	t73	NOUN
fis-13	156	24	aluminium	aluminium	NOUN
fis-13	156	25	alloys	alloy	NOUN
fis-13	156	26	.	.	PUNCT
fis-13	157	1	the	the	DET
fis-13	157	2	application	application	NOUN
fis-13	157	3	of	of	ADP
fis-13	157	4	eq	eq	PROPN
fis-13	157	5	.	.	PUNCT
fis-13	158	1	(	(	PUNCT
fis-13	158	2	9	9	X
fis-13	158	3	)	)	PUNCT
fis-13	158	4	permits	permit	NOUN
fis-13	158	5	to	to	PART
fis-13	158	6	predict	predict	VERB
fis-13	158	7	the	the	DET
fis-13	158	8	value	value	NOUN
fis-13	158	9	of	of	ADP
fis-13	158	10	the	the	DET
fis-13	158	11	paris	paris	PROPN
fis-13	158	12	’	'	PUNCT
fis-13	158	13	law	law	NOUN
fis-13	158	14	parameter	parameter	NOUN
fis-13	158	15	c	c	PROPN
fis-13	158	16	as	as	ADP
fis-13	158	17	a	a	DET
fis-13	158	18	function	function	NOUN
fis-13	158	19	of	of	ADP
fis-13	158	20	m	m	PROPN
fis-13	158	21	and	and	CCONJ
fis-13	158	22	to	to	PART
fis-13	158	23	compare	compare	VERB
fis-13	158	24	it	it	PRON
fis-13	158	25	with	with	ADP
fis-13	158	26	the	the	DET
fis-13	158	27	experimental	experimental	ADJ
fis-13	158	28	one	one	NOUN
fis-13	158	29	reported	report	VERB
fis-13	158	30	in	in	ADP
fis-13	158	31	the	the	DET
fis-13	158	32	fifth	fifth	ADJ
fis-13	158	33	column	column	NOUN
fis-13	158	34	of	of	ADP
fis-13	158	35	tab	tab	NOUN
fis-13	158	36	.	.	PUNCT
fis-13	159	1	2	2	X
fis-13	159	2	.	.	X
fis-13	159	3	the	the	DET
fis-13	159	4	agreement	agreement	NOUN
fis-13	159	5	between	between	ADP
fis-13	159	6	the	the	DET
fis-13	159	7	experimental	experimental	ADJ
fis-13	159	8	data	datum	NOUN
fis-13	159	9	and	and	CCONJ
fis-13	159	10	the	the	DET
fis-13	159	11	predictions	prediction	NOUN
fis-13	159	12	made	make	VERB
fis-13	159	13	according	accord	VERB
fis-13	159	14	to	to	ADP
fis-13	159	15	our	our	PRON
fis-13	159	16	correlation	correlation	NOUN
fis-13	159	17	is	be	AUX
fis-13	159	18	noticeably	noticeably	ADV
fis-13	159	19	good	good	ADJ
fis-13	159	20	,	,	PUNCT
fis-13	159	21	as	as	SCONJ
fis-13	159	22	also	also	ADV
fis-13	159	23	evidenced	evidence	VERB
fis-13	159	24	by	by	ADP
fis-13	159	25	the	the	DET
fis-13	159	26	relative	relative	ADJ
fis-13	159	27	percentage	percentage	NOUN
fis-13	159	28	error	error	NOUN
fis-13	159	29	reported	report	VERB
fis-13	159	30	in	in	ADP
fis-13	159	31	the	the	DET
fis-13	159	32	last	last	ADJ
fis-13	159	33	column	column	NOUN
fis-13	159	34	of	of	ADP
fis-13	159	35	tab	tab	NOUN
fis-13	159	36	.	.	PUNCT
fis-13	160	1	2	2	NUM
fis-13	160	2	.	.	SYM
fis-13	160	3	5	5	NUM
fis-13	160	4	conclusions	conclusion	NOUN
fis-13	160	5	to	to	PART
fis-13	160	6	shed	shed	VERB
fis-13	160	7	light	light	NOUN
fis-13	160	8	on	on	ADP
fis-13	160	9	the	the	DET
fis-13	160	10	controversy	controversy	NOUN
fis-13	160	11	about	about	ADP
fis-13	160	12	the	the	DET
fis-13	160	13	existence	existence	NOUN
fis-13	160	14	of	of	ADP
fis-13	160	15	a	a	DET
fis-13	160	16	correlation	correlation	NOUN
fis-13	160	17	between	between	ADP
fis-13	160	18	the	the	DET
fis-13	160	19	paris	paris	PROPN
fis-13	160	20	’	'	PUNCT
fis-13	160	21	constants	constant	NOUN
fis-13	160	22	,	,	PUNCT
fis-13	160	23	both	both	DET
fis-13	160	24	selfsimilarity	selfsimilarity	NOUN
fis-13	160	25	concepts	concept	NOUN
fis-13	160	26	and	and	CCONJ
fis-13	160	27	the	the	DET
fis-13	160	28	condition	condition	NOUN
fis-13	160	29	that	that	SCONJ
fis-13	160	30	the	the	DET
fis-13	160	31	paris	paris	PROPN
fis-13	160	32	’	'	PUNCT
fis-13	160	33	law	law	NOUN
fis-13	160	34	instability	instability	NOUN
fis-13	160	35	corresponds	correspond	VERB
fis-13	160	36	to	to	ADP
fis-13	160	37	the	the	DET
fis-13	160	38	griffith	griffith	PROPN
fis-13	160	39	-	-	PUNCT
fis-13	160	40	irwin	irwin	PROPN
fis-13	160	41	instability	instability	NOUN
fis-13	160	42	at	at	ADP
fis-13	160	43	the	the	DET
fis-13	160	44	onset	onset	NOUN
fis-13	160	45	of	of	ADP
fis-13	160	46	rapid	rapid	ADJ
fis-13	160	47	crack	crack	NOUN
fis-13	160	48	growth	growth	NOUN
fis-13	160	49	have	have	AUX
fis-13	160	50	been	be	AUX
fis-13	160	51	profitably	profitably	ADV
fis-13	160	52	used	use	VERB
fis-13	160	53	.	.	PUNCT
fis-13	161	1	comparing	compare	VERB
fis-13	161	2	the	the	DET
fis-13	161	3	functional	functional	ADJ
fis-13	161	4	expressions	expression	NOUN
fis-13	161	5	derived	derive	VERB
fis-13	161	6	from	from	ADP
fis-13	161	7	these	these	DET
fis-13	161	8	two	two	NUM
fis-13	161	9	independent	independent	ADJ
fis-13	161	10	approaches	approach	NOUN
fis-13	161	11	,	,	PUNCT
fis-13	161	12	an	an	DET
fis-13	161	13	approximate	approximate	ADJ
fis-13	161	14	relationship	relationship	NOUN
fis-13	161	15	between	between	ADP
fis-13	161	16	c	c	PROPN
fis-13	161	17	and	and	CCONJ
fis-13	161	18	m	m	PROPN
fis-13	161	19	has	have	AUX
fis-13	161	20	been	be	AUX
fis-13	161	21	proposed	propose	VERB
fis-13	161	22	.	.	PUNCT
fis-13	162	1	according	accord	VERB
fis-13	162	2	to	to	ADP
fis-13	162	3	this	this	DET
fis-13	162	4	theory	theory	NOUN
fis-13	162	5	,	,	PUNCT
fis-13	162	6	the	the	DET
fis-13	162	7	parameter	parameter	NOUN
fis-13	162	8	c	c	PROPN
fis-13	162	9	is	be	AUX
fis-13	162	10	also	also	ADV
fis-13	162	11	dependent	dependent	ADJ
fis-13	162	12	on	on	ADP
fis-13	162	13	the	the	DET
fis-13	162	14	fracture	fracture	ADJ
fis-13	162	15	toughness	toughness	NOUN
fis-13	162	16	of	of	ADP
fis-13	162	17	the	the	DET
fis-13	162	18	material	material	NOUN
fis-13	162	19	,	,	PUNCT
fis-13	162	20	on	on	ADP
fis-13	162	21	the	the	DET
fis-13	162	22	crack	crack	NOUN
fis-13	162	23	growth	growth	NOUN
fis-13	162	24	rate	rate	NOUN
fis-13	162	25	at	at	ADP
fis-13	162	26	the	the	DET
fis-13	162	27	onset	onset	NOUN
fis-13	162	28	of	of	ADP
fis-13	162	29	crack	crack	NOUN
fis-13	162	30	instability	instability	NOUN
fis-13	162	31	,	,	PUNCT
fis-13	162	32	and	and	CCONJ
fis-13	162	33	on	on	ADP
fis-13	162	34	the	the	DET
fis-13	162	35	loading	loading	NOUN
fis-13	162	36	ratio	ratio	NOUN
fis-13	162	37	.	.	PUNCT
fis-13	163	1	the	the	DET
fis-13	163	2	main	main	ADJ
fis-13	163	3	consequence	consequence	NOUN
fis-13	163	4	of	of	ADP
fis-13	163	5	this	this	DET
fis-13	163	6	correlation	correlation	NOUN
fis-13	163	7	is	be	AUX
fis-13	163	8	that	that	SCONJ
fis-13	163	9	only	only	ADV
fis-13	163	10	one	one	NUM
fis-13	163	11	macroscopic	macroscopic	ADJ
fis-13	163	12	parameter	parameter	NOUN
fis-13	163	13	is	be	AUX
fis-13	163	14	needed	need	VERB
fis-13	163	15	for	for	ADP
fis-13	163	16	the	the	DET
fis-13	163	17	characterization	characterization	NOUN
fis-13	163	18	of	of	ADP
fis-13	163	19	damage	damage	NOUN
fis-13	163	20	during	during	ADP
fis-13	163	21	fatigue	fatigue	NOUN
fis-13	163	22	crack	crack	NOUN
fis-13	163	23	growth	growth	NOUN
fis-13	163	24	.	.	PUNCT
fis-13	164	1	a	a	DET
fis-13	164	2	good	good	ADJ
fis-13	164	3	agreement	agreement	NOUN
fis-13	164	4	between	between	ADP
fis-13	164	5	the	the	DET
fis-13	164	6	theoretical	theoretical	ADJ
fis-13	164	7	predictions	prediction	NOUN
fis-13	164	8	obtained	obtain	VERB
fis-13	164	9	using	use	VERB
fis-13	164	10	this	this	DET
fis-13	164	11	correlations	correlation	NOUN
fis-13	164	12	and	and	CCONJ
fis-13	164	13	experimental	experimental	ADJ
fis-13	164	14	data	datum	NOUN
fis-13	164	15	has	have	AUX
fis-13	164	16	been	be	AUX
fis-13	164	17	achieved	achieve	VERB
fis-13	164	18	.	.	PUNCT
fis-13	165	1	from	from	ADP
fis-13	165	2	the	the	DET
fis-13	165	3	engineering	engineering	NOUN
fis-13	165	4	standpoint	standpoint	NOUN
fis-13	165	5	,	,	PUNCT
fis-13	165	6	it	it	PRON
fis-13	165	7	has	have	VERB
fis-13	165	8	to	to	PART
fis-13	165	9	be	be	AUX
fis-13	165	10	emphasized	emphasize	VERB
fis-13	165	11	that	that	SCONJ
fis-13	165	12	our	our	PRON
fis-13	165	13	proposed	propose	VERB
fis-13	165	14	correlation	correlation	NOUN
fis-13	165	15	constitutes	constitute	VERB
fis-13	165	16	a	a	DET
fis-13	165	17	useful	useful	ADJ
fis-13	165	18	tool	tool	NOUN
fis-13	165	19	for	for	ADP
fis-13	165	20	design	design	NOUN
fis-13	165	21	purposes	purpose	NOUN
fis-13	165	22	.	.	PUNCT
fis-13	166	1	in	in	ADP
fis-13	166	2	fact	fact	NOUN
fis-13	166	3	,	,	PUNCT
fis-13	166	4	in	in	ADP
fis-13	166	5	case	case	NOUN
fis-13	166	6	of	of	ADP
fis-13	166	7	a	a	DET
fis-13	166	8	lack	lack	NOUN
fis-13	166	9	of	of	ADP
fis-13	166	10	experimental	experimental	ADJ
fis-13	166	11	fatigue	fatigue	NOUN
fis-13	166	12	data	datum	NOUN
fis-13	166	13	for	for	ADP
fis-13	166	14	a	a	DET
fis-13	166	15	new	new	ADJ
fis-13	166	16	material	material	NOUN
fis-13	166	17	to	to	PART
fis-13	166	18	characterize	characterize	VERB
fis-13	166	19	,	,	PUNCT
fis-13	166	20	one	one	PRON
fis-13	166	21	could	could	AUX
fis-13	166	22	,	,	PUNCT
fis-13	166	23	as	as	ADP
fis-13	166	24	a	a	DET
fis-13	166	25	first	first	ADJ
fis-13	166	26	approximation	approximation	NOUN
fis-13	166	27	,	,	PUNCT
fis-13	166	28	determine	determine	VERB
fis-13	166	29	the	the	DET
fis-13	166	30	parameter	parameter	NOUN
fis-13	166	31	c	c	PROPN
fis-13	166	32	as	as	ADP
fis-13	166	33	a	a	DET
fis-13	166	34	function	function	NOUN
fis-13	166	35	of	of	ADP
fis-13	166	36	the	the	DET
fis-13	166	37	exponent	exponent	NOUN
fis-13	166	38	m	m	VERB
fis-13	166	39	according	accord	VERB
fis-13	166	40	to	to	ADP
fis-13	166	41	eq	eq	PROPN
fis-13	166	42	.	.	PUNCT
fis-13	167	1	(	(	PUNCT
fis-13	167	2	11	11	NUM
fis-13	167	3	)	)	PUNCT
fis-13	167	4	.	.	PUNCT
fis-13	168	1	then	then	ADV
fis-13	168	2	,	,	PUNCT
fis-13	168	3	a	a	DET
fis-13	168	4	parametric	parametric	ADJ
fis-13	168	5	analysis	analysis	NOUN
fis-13	168	6	by	by	ADP
fis-13	168	7	varying	vary	VERB
fis-13	168	8	the	the	DET
fis-13	168	9	exponent	exponent	NOUN
fis-13	168	10	m	m	PROPN
fis-13	168	11	in	in	ADP
fis-13	168	12	its	its	PRON
fis-13	168	13	usual	usual	ADJ
fis-13	168	14	range	range	NOUN
fis-13	168	15	of	of	ADP
fis-13	168	16	variation	variation	NOUN
fis-13	168	17	can	can	AUX
fis-13	168	18	be	be	AUX
fis-13	168	19	performed	perform	VERB
fis-13	168	20	and	and	CCONJ
fis-13	168	21	numerical	numerical	ADJ
fis-13	168	22	simulations	simulation	NOUN
fis-13	168	23	of	of	ADP
fis-13	168	24	fatigue	fatigue	NOUN
fis-13	168	25	crack	crack	NOUN
fis-13	168	26	growth	growth	NOUN
fis-13	168	27	can	can	AUX
fis-13	168	28	be	be	AUX
fis-13	168	29	put	put	VERB
fis-13	168	30	forward	forward	ADV
fis-13	168	31	.	.	PUNCT
fis-13	169	1	parameters	parameter	NOUN
fis-13	169	2	crv	crv	PROPN
fis-13	169	3	and	and	CCONJ
fis-13	169	4	ick	ick	VERB
fis-13	169	5	entering	enter	VERB
fis-13	169	6	the	the	DET
fis-13	169	7	correlation	correlation	NOUN
fis-13	169	8	can	can	AUX
fis-13	169	9	be	be	AUX
fis-13	169	10	either	either	CCONJ
fis-13	169	11	known	know	VERB
fis-13	169	12	in	in	ADP
fis-13	169	13	advance	advance	NOUN
fis-13	169	14	,	,	PUNCT
fis-13	169	15	or	or	CCONJ
fis-13	169	16	estimated	estimate	VERB
fis-13	169	17	from	from	ADP
fis-13	169	18	materials	material	NOUN
fis-13	169	19	with	with	ADP
fis-13	169	20	similar	similar	ADJ
fis-13	169	21	composition	composition	NOUN
fis-13	169	22	,	,	PUNCT
fis-13	169	23	thermal	thermal	ADJ
fis-13	169	24	treatment	treatment	NOUN
fis-13	169	25	and	and	CCONJ
fis-13	169	26	mechanical	mechanical	ADJ
fis-13	169	27	properties	property	NOUN
fis-13	169	28	(	(	PUNCT
fis-13	169	29	see	see	VERB
fis-13	169	30	also	also	ADV
fis-13	169	31	[	[	X
fis-13	169	32	36–38	36–38	NUM
fis-13	169	33	]	]	PUNCT
fis-13	169	34	)	)	PUNCT
fis-13	169	35	.	.	PUNCT
fis-13	170	1	6	6	NUM
fis-13	170	2	acknowledgements	acknowledgement	NOUN
fis-13	170	3	support	support	NOUN
fis-13	170	4	of	of	ADP
fis-13	170	5	the	the	DET
fis-13	170	6	european	european	PROPN
fis-13	170	7	union	union	PROPN
fis-13	170	8	to	to	ADP
fis-13	170	9	the	the	DET
fis-13	170	10	leonardo	leonardo	PROPN
fis-13	170	11	da	da	PROPN
fis-13	170	12	vinci	vinci	PROPN
fis-13	170	13	project	project	PROPN
fis-13	170	14	“	"	PUNCT
fis-13	170	15	innovative	innovative	ADJ
fis-13	170	16	learning	learning	NOUN
fis-13	170	17	and	and	CCONJ
fis-13	170	18	training	training	NOUN
fis-13	170	19	on	on	ADP
fis-13	170	20	fracture	fracture	NOUN
fis-13	170	21	(	(	PUNCT
fis-13	170	22	iltof	iltof	NOUN
fis-13	170	23	)	)	PUNCT
fis-13	170	24	”	"	PUNCT
fis-13	170	25	is	be	AUX
fis-13	170	26	gratefully	gratefully	ADV
fis-13	170	27	acknowledged	acknowledge	VERB
fis-13	170	28	.	.	PUNCT
fis-13	171	1	7	7	NUM
fis-13	171	2	references	reference	NOUN
fis-13	171	3	[	[	X
fis-13	171	4	1	1	NUM
fis-13	171	5	]	]	X
fis-13	171	6	r.o	r.o	PROPN
fis-13	171	7	.	.	PROPN
fis-13	171	8	ritchie	ritchie	PROPN
fis-13	171	9	,	,	PUNCT
fis-13	171	10	“	"	PUNCT
fis-13	171	11	influence	influence	NOUN
fis-13	171	12	of	of	ADP
fis-13	171	13	microstructure	microstructure	NOUN
fis-13	171	14	on	on	ADP
fis-13	171	15	nearthreshold	nearthreshold	ADJ
fis-13	171	16	fatigue	fatigue	NOUN
fis-13	171	17	-	-	PUNCT
fis-13	171	18	crack	crack	NOUN
fis-13	171	19	propagation	propagation	NOUN
fis-13	171	20	in	in	ADP
fis-13	171	21	ultra	ultra	ADJ
fis-13	171	22	-	-	ADJ
fis-13	171	23	high	high	ADJ
fis-13	171	24	strength	strength	NOUN
fis-13	171	25	steel	steel	NOUN
fis-13	171	26	”	"	PUNCT
fis-13	171	27	,	,	PUNCT
fis-13	171	28	metal	metal	NOUN
fis-13	171	29	science	science	NOUN
fis-13	171	30	,	,	PUNCT
fis-13	171	31	11	11	NUM
fis-13	171	32	(	(	PUNCT
fis-13	171	33	1977	1977	NUM
fis-13	171	34	)	)	PUNCT
fis-13	171	35	368–381	368–381	NUM
fis-13	171	36	.	.	PUNCT
fis-13	171	37	material	material	NOUN
fis-13	171	38	experimental	experimental	ADJ
fis-13	171	39	data	datum	NOUN
fis-13	171	40	present	present	ADJ
fis-13	171	41	correlation	correlation	NOUN
fis-13	171	42	m	m	VERB
fis-13	171	43	c	c	NOUN
fis-13	171	44	c	c	NOUN
fis-13	171	45	relative	relative	ADJ
fis-13	171	46	error	error	NOUN
fis-13	171	47	(	(	PUNCT
fis-13	171	48	%	%	INTJ
fis-13	171	49	)	)	PUNCT
fis-13	171	50	alum-2219	alum-2219	NOUN
fis-13	171	51	-	-	PUNCT
fis-13	171	52	t62	t62	NOUN
fis-13	171	53	(	(	PUNCT
fis-13	171	54	l	l	NOUN
fis-13	171	55	-	-	PUNCT
fis-13	171	56	t	t	NOUN
fis-13	171	57	)	)	PUNCT
fis-13	171	58	28.2	28.2	NUM
fis-13	171	59	3.5	3.5	NUM
fis-13	171	60	x	x	SYM
fis-13	171	61	10–6	10–6	NUM
fis-13	171	62	2.87	2.87	NUM
fis-13	171	63	2.40	2.40	NUM
fis-13	171	64	x	x	SYM
fis-13	171	65	10–10	10–10	NUM
fis-13	171	66	2.41	2.41	NUM
fis-13	171	67	x	x	SYM
fis-13	171	68	10–10	10–10	NUM
fis-13	171	69	0	0	NUM
fis-13	171	70	alum-2219	alum-2219	ADJ
fis-13	171	71	-	-	PUNCT
fis-13	171	72	t87	t87	NOUN
fis-13	171	73	(	(	PUNCT
fis-13	171	74	l	l	NOUN
fis-13	171	75	-	-	PUNCT
fis-13	171	76	t	t	NOUN
fis-13	171	77	)	)	PUNCT
fis-13	171	78	27.3	27.3	NUM
fis-13	171	79	3.5	3.5	NUM
fis-13	171	80	x	x	SYM
fis-13	171	81	10–6	10–6	NUM
fis-13	171	82	3.30	3.30	NUM
fis-13	171	83	6.27	6.27	NUM
fis-13	171	84	x	x	SYM
fis-13	171	85	10–11	10–11	NUM
fis-13	171	86	6.38	6.38	NUM
fis-13	171	87	x	x	SYM
fis-13	171	88	10–11	10–11	NUM
fis-13	171	89	2	2	NUM
fis-13	171	90	alum-6061	alum-6061	NOUN
fis-13	171	91	-	-	PUNCT
fis-13	171	92	t62	t62	NOUN
fis-13	171	93	(	(	PUNCT
fis-13	171	94	l	l	NOUN
fis-13	171	95	-	-	NOUN
fis-13	171	96	t	t	NOUN
fis-13	171	97	)	)	PUNCT
fis-13	171	98	25.0	25.0	NUM
fis-13	171	99	3.5	3.5	NUM
fis-13	171	100	x	x	SYM
fis-13	171	101	10–6	10–6	NUM
fis-13	171	102	3.20	3.20	NUM
fis-13	171	103	1.63	1.63	NUM
fis-13	171	104	x	x	SYM
fis-13	171	105	10–10	10–10	NUM
fis-13	171	106	1.18	1.18	NUM
fis-13	171	107	x	x	SYM
fis-13	171	108	10–10	10–10	NUM
fis-13	171	109	–	–	SYM
fis-13	171	110	28	28	NUM
fis-13	171	111	alum-7075	alum-7075	ADJ
fis-13	171	112	-	-	PUNCT
fis-13	171	113	t73	t73	NOUN
fis-13	171	114	,	,	PUNCT
fis-13	171	115	forged	forge	VERB
fis-13	171	116	(	(	PUNCT
fis-13	171	117	l	l	NOUN
fis-13	171	118	-	-	PUNCT
fis-13	171	119	t	t	NOUN
fis-13	171	120	)	)	PUNCT
fis-13	171	121	27.3	27.3	NUM
fis-13	171	122	3.5	3.5	NUM
fis-13	171	123	x	x	SYM
fis-13	171	124	10–6	10–6	NUM
fis-13	171	125	2.98	2.98	NUM
fis-13	171	126	1.80	1.80	NUM
fis-13	171	127	x	x	SYM
fis-13	171	128	10–10	10–10	NUM
fis-13	171	129	1.84	1.84	NUM
fis-13	171	130	x	x	SYM
fis-13	171	131	10–10	10–10	NUM
fis-13	171	132	2	2	NUM
fis-13	171	133	pure	pure	ADJ
fis-13	171	134	titanium	titanium	NOUN
fis-13	171	135	(	(	PUNCT
fis-13	171	136	fty	fty	PROPN
fis-13	171	137	=	=	SYM
fis-13	171	138	380	380	NUM
fis-13	171	139	mpa	mpa	NOUN
fis-13	171	140	)	)	PUNCT
fis-13	171	141	46.0	46.0	NUM
fis-13	171	142	1.0	1.0	NUM
fis-13	171	143	x	x	SYM
fis-13	171	144	10–5	10–5	NUM
fis-13	171	145	3.41	3.41	NUM
fis-13	171	146	1.95	1.95	NUM
fis-13	171	147	x	x	SYM
fis-13	171	148	10–11	10–11	NUM
fis-13	171	149	2.14	2.14	NUM
fis-13	171	150	x	x	SYM
fis-13	171	151	10–11	10–11	NUM
fis-13	171	152	10	10	NUM
fis-13	171	153	ti–6al–4v	ti–6al–4v	NUM
fis-13	171	154	-	-	PUNCT
fis-13	171	155	rt	rt	PROPN
fis-13	171	156	(	(	PUNCT
fis-13	171	157	mill	mill	NOUN
fis-13	171	158	annealed	anneal	VERB
fis-13	171	159	)	)	PUNCT
fis-13	171	160	15.5	15.5	NUM
fis-13	171	161	2.0	2.0	NUM
fis-13	171	162	x	x	SYM
fis-13	171	163	10–7	10–7	PROPN
fis-13	171	164	3.11	3.11	NUM
fis-13	171	165	3.80	3.80	NUM
fis-13	171	166	x	x	SYM
fis-13	171	167	10–11	10–11	NUM
fis-13	171	168	3.97	3.97	NUM
fis-13	171	169	x	x	SYM
fis-13	171	170	10–11	10–11	NUM
fis-13	171	171	4	4	NUM
fis-13	171	172	ph13	ph13	PROPN
fis-13	171	173	-	-	PUNCT
fis-13	171	174	8mo	8mo	NUM
fis-13	171	175	-	-	PUNCT
fis-13	171	176	h1000	h1000	PROPN
fis-13	171	177	(	(	PUNCT
fis-13	171	178	steel	steel	NOUN
fis-13	171	179	alloy	alloy	NOUN
fis-13	171	180	)	)	PUNCT
fis-13	171	181	100.0	100.0	NUM
fis-13	171	182	3.0	3.0	NUM
fis-13	171	183	x10–5	x10–5	NUM
fis-13	172	1	3.40	3.40	NUM
fis-13	172	2	5.00	5.00	NUM
fis-13	172	3	x	x	SYM
fis-13	172	4	10–12	10–12	NUM
fis-13	172	5	4.75	4.75	NUM
fis-13	172	6	x	x	SYM
fis-13	172	7	10–12	10–12	NUM
fis-13	172	8	–	–	SYM
fis-13	172	9	5	5	NUM
fis-13	172	10	table	table	NOUN
fis-13	172	11	2	2	NUM
fis-13	172	12	.	.	PUNCT
fis-13	172	13	experimental	experimental	ADJ
fis-13	172	14	assessment	assessment	NOUN
fis-13	172	15	of	of	ADP
fis-13	172	16	the	the	DET
fis-13	172	17	proposed	propose	VERB
fis-13	172	18	correlation	correlation	NOUN
fis-13	172	19	for	for	ADP
fis-13	172	20	aluminium	aluminium	NOUN
fis-13	172	21	,	,	PUNCT
fis-13	172	22	titanium	titanium	NOUN
fis-13	172	23	and	and	CCONJ
fis-13	172	24	steel	steel	NOUN
fis-13	172	25	alloys	alloy	NOUN
fis-13	172	26	according	accord	VERB
fis-13	172	27	to	to	ADP
fis-13	172	28	the	the	DET
fis-13	172	29	nasgro	nasgro	ADJ
fis-13	172	30	database	database	NOUN
fis-13	172	31	[	[	X
fis-13	172	32	35	35	NUM
fis-13	172	33	]	]	PUNCT
fis-13	172	34	.	.	PUNCT
fis-13	172	35	)	)	PUNCT
fis-13	173	1	(	(	PUNCT
fis-13	173	2	mmpa	mmpa	PROPN
fis-13	173	3	kic	kic	PROPN
fis-13	173	4	(	(	PUNCT
fis-13	173	5	)	)	PUNCT
fis-13	173	6	vcr	vcr	PROPN
fis-13	173	7	m	m	PROPN
fis-13	173	8	/	/	SYM
fis-13	173	9	cycle	cycle	PROPN
fis-13	173	10	al	al	PROPN
fis-13	173	11	.	.	PROPN
fis-13	173	12	carpinteri	carpinteri	PROPN
fis-13	173	13	et	et	PROPN
fis-13	173	14	al	al	PROPN
fis-13	173	15	.	.	PROPN
fis-13	173	16	,	,	PUNCT
fis-13	173	17	frattura	frattura	PROPN
fis-13	173	18	ed	ed	PROPN
fis-13	173	19	integrità	integrità	PROPN
fis-13	173	20	strutturale	strutturale	PROPN
fis-13	173	21	,	,	PUNCT
fis-13	173	22	2	2	NUM
fis-13	173	23	(	(	PUNCT
fis-13	173	24	2007	2007	NUM
fis-13	173	25	)	)	PUNCT
fis-13	173	26	10	10	NUM
fis-13	173	27	-	-	SYM
fis-13	173	28	16	16	NUM
fis-13	173	29	15	15	NUM
fis-13	173	30	[	[	X
fis-13	173	31	2	2	NUM
fis-13	173	32	]	]	X
fis-13	173	33	d.	d.	PROPN
fis-13	173	34	taylor	taylor	PROPN
fis-13	173	35	,	,	PUNCT
fis-13	173	36	“	"	PUNCT
fis-13	173	37	fatigue	fatigue	NOUN
fis-13	173	38	thresholds	threshold	NOUN
fis-13	173	39	”	"	PUNCT
fis-13	173	40	,	,	PUNCT
fis-13	173	41	butterworths	butterworth	NOUN
fis-13	173	42	,	,	PUNCT
fis-13	173	43	london	london	PROPN
fis-13	173	44	(	(	PUNCT
fis-13	173	45	1981	1981	NUM
fis-13	173	46	)	)	PUNCT
fis-13	173	47	.	.	PUNCT
fis-13	174	1	[	[	X
fis-13	174	2	3	3	X
fis-13	174	3	]	]	X
fis-13	174	4	h.	h.	PROPN
fis-13	174	5	kitagawa	kitagawa	PROPN
fis-13	174	6	,	,	PUNCT
fis-13	174	7	“	"	PUNCT
fis-13	174	8	introduction	introduction	NOUN
fis-13	174	9	to	to	ADP
fis-13	174	10	fracture	fracture	NOUN
fis-13	174	11	mechanics	mechanic	NOUN
fis-13	174	12	of	of	ADP
fis-13	174	13	fatigue	fatigue	NOUN
fis-13	174	14	”	"	PUNCT
fis-13	174	15	,	,	PUNCT
fis-13	174	16	in	in	ADP
fis-13	174	17	an	an	DET
fis-13	174	18	.	.	PUNCT
fis-13	174	19	carpinteri	carpinteri	NOUN
fis-13	174	20	,	,	PUNCT
fis-13	174	21	editor	editor	NOUN
fis-13	174	22	,	,	PUNCT
fis-13	174	23	handbook	handbook	NOUN
fis-13	174	24	of	of	ADP
fis-13	174	25	fatigue	fatigue	NOUN
fis-13	174	26	crack	crack	VERB
fis-13	174	27	propagation	propagation	NOUN
fis-13	174	28	in	in	ADP
fis-13	174	29	metallic	metallic	ADJ
fis-13	174	30	structures	structure	NOUN
fis-13	174	31	,	,	PUNCT
fis-13	174	32	vol	vol	NOUN
fis-13	174	33	.	.	PUNCT
fis-13	175	1	i	i	PRON
fis-13	175	2	,	,	PUNCT
fis-13	175	3	47–105	47–105	PROPN
fis-13	175	4	,	,	PUNCT
fis-13	175	5	elsevier	elsevier	PROPN
fis-13	175	6	science	science	PROPN
fis-13	175	7	b.v	b.v	PROPN
fis-13	175	8	.	.	PUNCT
fis-13	175	9	(	(	PUNCT
fis-13	175	10	1994	1994	NUM
fis-13	175	11	)	)	PUNCT
fis-13	175	12	.	.	PUNCT
fis-13	176	1	[	[	X
fis-13	176	2	4	4	NUM
fis-13	176	3	]	]	X
fis-13	176	4	r.g	r.g	PROPN
fis-13	176	5	.	.	PROPN
fis-13	176	6	forman	forman	PROPN
fis-13	176	7	,	,	PUNCT
fis-13	176	8	v.e	v.e	PROPN
fis-13	176	9	.	.	PROPN
fis-13	176	10	kearney	kearney	PROPN
fis-13	176	11	and	and	CCONJ
fis-13	176	12	r.m	r.m	PROPN
fis-13	176	13	.	.	PROPN
fis-13	176	14	engle	engle	PROPN
fis-13	176	15	,	,	PUNCT
fis-13	176	16	“	"	PUNCT
fis-13	176	17	numerical	numerical	ADJ
fis-13	176	18	analysis	analysis	NOUN
fis-13	176	19	of	of	ADP
fis-13	176	20	crack	crack	NOUN
fis-13	176	21	propagation	propagation	NOUN
fis-13	176	22	in	in	ADP
fis-13	176	23	cyclic	cyclic	NOUN
fis-13	176	24	-	-	PUNCT
fis-13	176	25	loaded	load	VERB
fis-13	176	26	structures	structure	NOUN
fis-13	176	27	”	"	PUNCT
fis-13	176	28	,	,	PUNCT
fis-13	176	29	asme	asme	PROPN
fis-13	176	30	journal	journal	PROPN
fis-13	176	31	of	of	ADP
fis-13	176	32	basic	basic	ADJ
fis-13	176	33	engineering	engineering	NOUN
fis-13	176	34	,	,	PUNCT
fis-13	176	35	89	89	NUM
fis-13	176	36	(	(	PUNCT
fis-13	176	37	1967	1967	NUM
fis-13	176	38	)	)	PUNCT
fis-13	176	39	459–464	459–464	NUM
fis-13	176	40	.	.	PUNCT
fis-13	177	1	[	[	X
fis-13	177	2	5	5	NUM
fis-13	177	3	]	]	X
fis-13	177	4	p.c	p.c	PROPN
fis-13	177	5	.	.	PROPN
fis-13	177	6	paris	paris	PROPN
fis-13	177	7	,	,	PUNCT
fis-13	177	8	m.p	m.p	PROPN
fis-13	177	9	.	.	PROPN
fis-13	177	10	gomez	gomez	PROPN
fis-13	177	11	and	and	CCONJ
fis-13	177	12	w.p	w.p	PROPN
fis-13	177	13	.	.	PROPN
fis-13	177	14	anderson	anderson	PROPN
fis-13	177	15	,	,	PUNCT
fis-13	177	16	“	"	PUNCT
fis-13	177	17	a	a	DET
fis-13	177	18	rational	rational	ADJ
fis-13	177	19	analytic	analytic	ADJ
fis-13	177	20	theory	theory	NOUN
fis-13	177	21	of	of	ADP
fis-13	177	22	fatigue	fatigue	NOUN
fis-13	177	23	”	"	PUNCT
fis-13	177	24	,	,	PUNCT
fis-13	177	25	the	the	DET
fis-13	177	26	trend	trend	NOUN
fis-13	177	27	in	in	ADP
fis-13	177	28	engineering	engineer	VERB
fis-13	177	29	13	13	NUM
fis-13	177	30	(	(	PUNCT
fis-13	177	31	1961	1961	NUM
fis-13	177	32	)	)	PUNCT
fis-13	177	33	9–14	9–14	NOUN
fis-13	177	34	.	.	PUNCT
fis-13	178	1	[	[	X
fis-13	178	2	6	6	NUM
fis-13	178	3	]	]	X
fis-13	178	4	p.c	p.c	PROPN
fis-13	178	5	.	.	PROPN
fis-13	178	6	paris	paris	PROPN
fis-13	178	7	and	and	CCONJ
fis-13	178	8	f.	f.	PROPN
fis-13	178	9	erdogan	erdogan	PROPN
fis-13	178	10	,	,	PUNCT
fis-13	178	11	“	"	PUNCT
fis-13	178	12	a	a	DET
fis-13	178	13	critical	critical	ADJ
fis-13	178	14	analysis	analysis	NOUN
fis-13	178	15	of	of	ADP
fis-13	178	16	crack	crack	NOUN
fis-13	178	17	propagation	propagation	NOUN
fis-13	178	18	laws	law	NOUN
fis-13	178	19	”	"	PUNCT
fis-13	178	20	,	,	PUNCT
fis-13	178	21	asme	asme	PROPN
fis-13	178	22	journal	journal	PROPN
fis-13	178	23	of	of	ADP
fis-13	178	24	basic	basic	ADJ
fis-13	178	25	engineering	engineering	NOUN
fis-13	178	26	,	,	PUNCT
fis-13	178	27	85d	85d	NOUN
fis-13	178	28	(	(	PUNCT
fis-13	178	29	1963	1963	NUM
fis-13	178	30	)	)	PUNCT
fis-13	178	31	528–534	528–534	NUM
fis-13	178	32	.	.	PUNCT
fis-13	179	1	[	[	X
fis-13	179	2	7	7	X
fis-13	179	3	]	]	X
fis-13	179	4	v.m	v.m	PROPN
fis-13	179	5	.	.	PUNCT
fis-13	179	6	radhakrishnan	radhakrishnan	PROPN
fis-13	179	7	,	,	PUNCT
fis-13	179	8	“	"	PUNCT
fis-13	179	9	parameter	parameter	NOUN
fis-13	179	10	representation	representation	NOUN
fis-13	179	11	of	of	ADP
fis-13	179	12	fatigue	fatigue	NOUN
fis-13	179	13	crack	crack	NOUN
fis-13	179	14	growth	growth	NOUN
fis-13	179	15	”	"	PUNCT
fis-13	179	16	,	,	PUNCT
fis-13	179	17	engineering	engineering	NOUN
fis-13	179	18	fracture	fracture	NOUN
fis-13	179	19	mechanics	mechanic	NOUN
fis-13	179	20	,	,	PUNCT
fis-13	179	21	11	11	NUM
fis-13	179	22	(	(	PUNCT
fis-13	179	23	1979	1979	NUM
fis-13	179	24	)	)	PUNCT
fis-13	180	1	359–372	359–372	NUM
fis-13	180	2	.	.	PUNCT
fis-13	181	1	[	[	X
fis-13	181	2	8	8	NUM
fis-13	181	3	]	]	X
fis-13	181	4	g.i	g.i	PROPN
fis-13	181	5	.	.	PROPN
fis-13	181	6	barenblatt	barenblatt	PROPN
fis-13	181	7	and	and	CCONJ
fis-13	181	8	l.r	l.r	PROPN
fis-13	181	9	.	.	PROPN
fis-13	181	10	botvina	botvina	PROPN
fis-13	181	11	,	,	PUNCT
fis-13	181	12	“	"	PUNCT
fis-13	181	13	incomplete	incomplete	ADJ
fis-13	181	14	selfsimilarity	selfsimilarity	NOUN
fis-13	181	15	of	of	ADP
fis-13	181	16	fatigue	fatigue	NOUN
fis-13	181	17	in	in	ADP
fis-13	181	18	the	the	DET
fis-13	181	19	linear	linear	ADJ
fis-13	181	20	range	range	NOUN
fis-13	181	21	of	of	ADP
fis-13	181	22	fatigue	fatigue	NOUN
fis-13	181	23	crack	crack	NOUN
fis-13	181	24	growth	growth	NOUN
fis-13	181	25	”	"	PUNCT
fis-13	181	26	fatigue	fatigue	NOUN
fis-13	181	27	and	and	CCONJ
fis-13	181	28	fracture	fracture	NOUN
fis-13	181	29	of	of	ADP
fis-13	181	30	engineering	engineering	NOUN
fis-13	181	31	materials	material	NOUN
fis-13	181	32	and	and	CCONJ
fis-13	181	33	structures	structure	NOUN
fis-13	181	34	,	,	PUNCT
fis-13	181	35	3	3	NUM
fis-13	181	36	(	(	PUNCT
fis-13	181	37	1980	1980	NUM
fis-13	181	38	)	)	PUNCT
fis-13	182	1	193–202	193–202	NUM
fis-13	182	2	.	.	PUNCT
fis-13	183	1	[	[	X
fis-13	183	2	9	9	NUM
fis-13	183	3	]	]	X
fis-13	183	4	g.i	g.i	PROPN
fis-13	183	5	.	.	PROPN
fis-13	183	6	barenblatt	barenblatt	PROPN
fis-13	183	7	,	,	PUNCT
fis-13	183	8	“	"	PUNCT
fis-13	183	9	scaling	scaling	NOUN
fis-13	183	10	,	,	PUNCT
fis-13	183	11	self	self	NOUN
fis-13	183	12	-	-	PUNCT
fis-13	183	13	similarity	similarity	NOUN
fis-13	183	14	and	and	CCONJ
fis-13	183	15	intermediate	intermediate	ADJ
fis-13	183	16	asymptotics	asymptotic	NOUN
fis-13	183	17	”	"	PUNCT
fis-13	183	18	,	,	PUNCT
fis-13	183	19	cambridge	cambridge	PROPN
fis-13	183	20	university	university	PROPN
fis-13	183	21	press	press	PROPN
fis-13	183	22	,	,	PUNCT
fis-13	183	23	cambridge	cambridge	PROPN
fis-13	183	24	(	(	PUNCT
fis-13	183	25	1996	1996	NUM
fis-13	183	26	)	)	PUNCT
fis-13	183	27	.	.	PUNCT
fis-13	184	1	[	[	X
fis-13	184	2	10	10	NUM
fis-13	184	3	]	]	PUNCT
fis-13	184	4	a.	a.	NOUN
fis-13	184	5	spagnoli	spagnoli	PROPN
fis-13	184	6	,	,	PUNCT
fis-13	184	7	“	"	PUNCT
fis-13	184	8	self	self	NOUN
fis-13	184	9	-	-	PUNCT
fis-13	184	10	similarity	similarity	NOUN
fis-13	184	11	and	and	CCONJ
fis-13	184	12	fractals	fractal	NOUN
fis-13	184	13	in	in	ADP
fis-13	184	14	the	the	DET
fis-13	184	15	paris	paris	PROPN
fis-13	184	16	range	range	NOUN
fis-13	184	17	of	of	ADP
fis-13	184	18	fatigue	fatigue	NOUN
fis-13	184	19	crack	crack	NOUN
fis-13	184	20	growth	growth	NOUN
fis-13	184	21	”	"	PUNCT
fis-13	184	22	,	,	PUNCT
fis-13	184	23	mechanics	mechanic	NOUN
fis-13	184	24	of	of	ADP
fis-13	184	25	materials	material	NOUN
fis-13	184	26	,	,	PUNCT
fis-13	184	27	37	37	NUM
fis-13	184	28	(	(	PUNCT
fis-13	184	29	2005	2005	NUM
fis-13	184	30	)	)	PUNCT
fis-13	184	31	519–529	519–529	NUM
fis-13	184	32	.	.	PUNCT
fis-13	185	1	[	[	X
fis-13	185	2	11	11	NUM
fis-13	185	3	]	]	X
fis-13	185	4	m.b	m.b	PROPN
fis-13	185	5	.	.	PROPN
fis-13	185	6	cortie	cortie	PROPN
fis-13	185	7	,	,	PUNCT
fis-13	185	8	“	"	PUNCT
fis-13	185	9	the	the	DET
fis-13	185	10	irrepressible	irrepressible	ADJ
fis-13	185	11	relationship	relationship	NOUN
fis-13	185	12	between	between	ADP
fis-13	185	13	the	the	DET
fis-13	185	14	paris	paris	PROPN
fis-13	185	15	law	law	NOUN
fis-13	185	16	parameters	parameter	NOUN
fis-13	185	17	”	"	PUNCT
fis-13	185	18	,	,	PUNCT
fis-13	185	19	engineering	engineering	NOUN
fis-13	185	20	fracture	fracture	NOUN
fis-13	185	21	mechanics	mechanic	NOUN
fis-13	185	22	,	,	PUNCT
fis-13	185	23	30	30	NUM
fis-13	185	24	(	(	PUNCT
fis-13	185	25	1988	1988	NUM
fis-13	185	26	)	)	PUNCT
fis-13	185	27	49–58	49–58	NUM
fis-13	185	28	.	.	PUNCT
fis-13	186	1	[	[	X
fis-13	186	2	12	12	NUM
fis-13	186	3	]	]	X
fis-13	186	4	f.	f.	NOUN
fis-13	186	5	bergner	bergner	NOUN
fis-13	186	6	and	and	CCONJ
fis-13	186	7	g.	g.	PROPN
fis-13	186	8	zouhar	zouhar	PROPN
fis-13	186	9	,	,	PUNCT
fis-13	186	10	“	"	PUNCT
fis-13	186	11	a	a	DET
fis-13	186	12	new	new	ADJ
fis-13	186	13	approach	approach	NOUN
fis-13	186	14	to	to	ADP
fis-13	186	15	the	the	DET
fis-13	186	16	correlation	correlation	NOUN
fis-13	186	17	between	between	ADP
fis-13	186	18	the	the	DET
fis-13	186	19	coefficient	coefficient	NOUN
fis-13	186	20	and	and	CCONJ
fis-13	186	21	the	the	DET
fis-13	186	22	exponent	exponent	NOUN
fis-13	186	23	in	in	ADP
fis-13	186	24	the	the	DET
fis-13	186	25	power	power	NOUN
fis-13	186	26	law	law	NOUN
fis-13	186	27	equation	equation	NOUN
fis-13	186	28	of	of	ADP
fis-13	186	29	fatigue	fatigue	NOUN
fis-13	186	30	crack	crack	NOUN
fis-13	186	31	growth	growth	NOUN
fis-13	186	32	”	"	PUNCT
fis-13	186	33	,	,	PUNCT
fis-13	186	34	international	international	ADJ
fis-13	186	35	journal	journal	NOUN
fis-13	186	36	of	of	ADP
fis-13	186	37	fatigue	fatigue	NOUN
fis-13	186	38	,	,	PUNCT
fis-13	186	39	22	22	NUM
fis-13	186	40	(	(	PUNCT
fis-13	186	41	2000	2000	NUM
fis-13	186	42	)	)	PUNCT
fis-13	187	1	229–239	229–239	NUM
fis-13	187	2	.	.	PUNCT
fis-13	188	1	[	[	X
fis-13	188	2	13	13	NUM
fis-13	188	3	]	]	SYM
fis-13	188	4	v.m	v.m	PROPN
fis-13	188	5	.	.	PUNCT
fis-13	188	6	radhakrishnan	radhakrishnan	PROPN
fis-13	188	7	,	,	PUNCT
fis-13	188	8	“	"	PUNCT
fis-13	188	9	quantifying	quantify	VERB
fis-13	188	10	the	the	DET
fis-13	188	11	parameters	parameter	NOUN
fis-13	188	12	in	in	ADP
fis-13	188	13	fatigue	fatigue	NOUN
fis-13	188	14	crack	crack	NOUN
fis-13	188	15	propagation	propagation	NOUN
fis-13	188	16	”	"	PUNCT
fis-13	188	17	,	,	PUNCT
fis-13	188	18	engineering	engineering	NOUN
fis-13	188	19	fracture	fracture	NOUN
fis-13	188	20	mechanics	mechanic	NOUN
fis-13	188	21	,	,	PUNCT
fis-13	188	22	13	13	NUM
fis-13	188	23	(	(	PUNCT
fis-13	188	24	1980	1980	NUM
fis-13	188	25	)	)	PUNCT
fis-13	188	26	129–141	129–141	NUM
fis-13	188	27	.	.	PUNCT
fis-13	189	1	[	[	X
fis-13	189	2	14	14	NUM
fis-13	189	3	]	]	X
fis-13	189	4	l.	l.	PROPN
fis-13	189	5	tóth	tóth	PROPN
fis-13	189	6	and	and	CCONJ
fis-13	189	7	a.	a.	NOUN
fis-13	189	8	krasowsky	krasowsky	PROPN
fis-13	189	9	,	,	PUNCT
fis-13	189	10	“	"	PUNCT
fis-13	189	11	fracture	fracture	NOUN
fis-13	189	12	as	as	ADP
fis-13	189	13	the	the	DET
fis-13	189	14	result	result	NOUN
fis-13	189	15	of	of	ADP
fis-13	189	16	self	self	NOUN
fis-13	189	17	-	-	PUNCT
fis-13	189	18	organised	organise	VERB
fis-13	189	19	damage	damage	NOUN
fis-13	189	20	process	process	NOUN
fis-13	189	21	”	"	PUNCT
fis-13	189	22	,	,	PUNCT
fis-13	189	23	journal	journal	NOUN
fis-13	189	24	of	of	ADP
fis-13	189	25	materials	material	NOUN
fis-13	189	26	processing	processing	NOUN
fis-13	189	27	technology	technology	NOUN
fis-13	189	28	,	,	PUNCT
fis-13	189	29	53	53	NUM
fis-13	189	30	(	(	PUNCT
fis-13	189	31	1995	1995	NUM
fis-13	189	32	)	)	PUNCT
fis-13	190	1	441–451	441–451	NUM
fis-13	190	2	.	.	PUNCT
fis-13	191	1	[	[	X
fis-13	191	2	15	15	NUM
fis-13	191	3	]	]	X
fis-13	191	4	j.b	j.b	PROPN
fis-13	191	5	.	.	PUNCT
fis-13	191	6	lee	lee	PROPN
fis-13	191	7	and	and	CCONJ
fis-13	191	8	d.n	d.n	PROPN
fis-13	191	9	.	.	PROPN
fis-13	191	10	lee	lee	PROPN
fis-13	191	11	,	,	PUNCT
fis-13	191	12	“	"	PUNCT
fis-13	191	13	correlation	correlation	NOUN
fis-13	191	14	of	of	ADP
fis-13	191	15	two	two	NUM
fis-13	191	16	constants	constant	NOUN
fis-13	191	17	in	in	ADP
fis-13	191	18	the	the	DET
fis-13	191	19	paris	paris	PROPN
fis-13	191	20	equation	equation	NOUN
fis-13	191	21	for	for	ADP
fis-13	191	22	fatigue	fatigue	NOUN
fis-13	191	23	crack	crack	NOUN
fis-13	191	24	propagation	propagation	NOUN
fis-13	191	25	rate	rate	NOUN
fis-13	191	26	in	in	ADP
fis-13	191	27	region	region	PROPN
fis-13	191	28	ii	ii	PROPN
fis-13	191	29	”	"	PUNCT
fis-13	191	30	,	,	PUNCT
fis-13	191	31	in	in	ADP
fis-13	191	32	proceedings	proceeding	NOUN
fis-13	191	33	of	of	ADP
fis-13	191	34	the	the	DET
fis-13	191	35	6th	6th	ADJ
fis-13	191	36	international	international	ADJ
fis-13	191	37	conference	conference	NOUN
fis-13	191	38	on	on	ADP
fis-13	191	39	fracture	fracture	PROPN
fis-13	191	40	icf6	icf6	PROPN
fis-13	191	41	,	,	PUNCT
fis-13	191	42	new	new	PROPN
fis-13	191	43	delhi	delhi	PROPN
fis-13	191	44	,	,	PUNCT
fis-13	191	45	india	india	PROPN
fis-13	191	46	,	,	PUNCT
fis-13	191	47	1727–1733	1727–1733	NUM
fis-13	191	48	.	.	PUNCT
fis-13	192	1	pergamon	pergamon	PROPN
fis-13	192	2	press	press	PROPN
fis-13	192	3	(	(	PUNCT
fis-13	192	4	1984	1984	NUM
fis-13	192	5	)	)	PUNCT
fis-13	192	6	.	.	PUNCT
fis-13	193	1	[	[	X
fis-13	193	2	16	16	NUM
fis-13	193	3	]	]	PUNCT
fis-13	193	4	m.	m.	NOUN
fis-13	193	5	cavallini	cavallini	PROPN
fis-13	193	6	and	and	CCONJ
fis-13	193	7	f.	f.	PROPN
fis-13	193	8	iacoviello	iacoviello	PROPN
fis-13	193	9	,	,	PUNCT
fis-13	193	10	“	"	PUNCT
fis-13	193	11	fatigue	fatigue	NOUN
fis-13	193	12	models	model	NOUN
fis-13	193	13	for	for	ADP
fis-13	193	14	al	al	PROPN
fis-13	193	15	alloys	alloy	NOUN
fis-13	193	16	”	"	PUNCT
fis-13	193	17	,	,	PUNCT
fis-13	193	18	international	international	ADJ
fis-13	193	19	journal	journal	NOUN
fis-13	193	20	of	of	ADP
fis-13	193	21	fatigue	fatigue	NOUN
fis-13	193	22	,	,	PUNCT
fis-13	193	23	13	13	NUM
fis-13	193	24	(	(	PUNCT
fis-13	193	25	1991	1991	NUM
fis-13	193	26	)	)	PUNCT
fis-13	193	27	442–446	442–446	NUM
fis-13	193	28	.	.	PUNCT
fis-13	194	1	[	[	X
fis-13	194	2	17	17	NUM
fis-13	194	3	]	]	PUNCT
fis-13	194	4	m.	m.	NOUN
fis-13	194	5	cavallini	cavallini	PROPN
fis-13	194	6	and	and	CCONJ
fis-13	194	7	f.	f.	PROPN
fis-13	194	8	iacoviello	iacoviello	PROPN
fis-13	194	9	,	,	PUNCT
fis-13	194	10	“	"	PUNCT
fis-13	194	11	a	a	DET
fis-13	194	12	statistical	statistical	ADJ
fis-13	194	13	analysis	analysis	NOUN
fis-13	194	14	of	of	ADP
fis-13	194	15	fatigue	fatigue	NOUN
fis-13	194	16	crack	crack	VERB
fis-13	194	17	growth	growth	NOUN
fis-13	194	18	in	in	ADP
fis-13	194	19	a	a	DET
fis-13	194	20	2091	2091	NUM
fis-13	194	21	al	al	PROPN
fis-13	194	22	-	-	PUNCT
fis-13	194	23	cu	cu	PROPN
fis-13	194	24	-	-	PUNCT
fis-13	194	25	li	li	PROPN
fis-13	194	26	alloy	alloy	PROPN
fis-13	194	27	”	"	PUNCT
fis-13	194	28	,	,	PUNCT
fis-13	194	29	international	international	ADJ
fis-13	194	30	journal	journal	NOUN
fis-13	194	31	of	of	ADP
fis-13	194	32	fatigue	fatigue	NOUN
fis-13	194	33	,	,	PUNCT
fis-13	194	34	17	17	NUM
fis-13	194	35	(	(	PUNCT
fis-13	194	36	1995	1995	NUM
fis-13	194	37	)	)	PUNCT
fis-13	194	38	135–139	135–139	NUM
fis-13	194	39	.	.	PUNCT
fis-13	195	1	[	[	X
fis-13	195	2	18	18	NUM
fis-13	195	3	]	]	X
fis-13	195	4	f.	f.	PROPN
fis-13	195	5	iacoviello	iacoviello	PROPN
fis-13	195	6	.	.	PUNCT
fis-13	196	1	d.	d.	PROPN
fis-13	196	2	iacoviello	iacoviello	PROPN
fis-13	196	3	and	and	CCONJ
fis-13	196	4	m.	m.	NOUN
fis-13	196	5	cavallini	cavallini	PROPN
fis-13	196	6	,	,	PUNCT
fis-13	196	7	“	"	PUNCT
fis-13	196	8	analysis	analysis	NOUN
fis-13	196	9	of	of	ADP
fis-13	196	10	stress	stress	NOUN
fis-13	196	11	ratio	ratio	NOUN
fis-13	196	12	effects	effect	NOUN
fis-13	196	13	on	on	ADP
fis-13	196	14	fatigue	fatigue	NOUN
fis-13	196	15	propagation	propagation	NOUN
fis-13	196	16	in	in	ADP
fis-13	196	17	a	a	DET
fis-13	196	18	sintered	sinter	VERB
fis-13	196	19	duplex	duplex	NOUN
fis-13	196	20	steel	steel	NOUN
fis-13	196	21	by	by	ADP
fis-13	196	22	experimentation	experimentation	NOUN
fis-13	196	23	and	and	CCONJ
fis-13	196	24	artificial	artificial	ADJ
fis-13	196	25	neural	neural	ADJ
fis-13	196	26	network	network	NOUN
fis-13	196	27	approaches	approach	NOUN
fis-13	196	28	”	"	PUNCT
fis-13	196	29	,	,	PUNCT
fis-13	196	30	international	international	ADJ
fis-13	196	31	journal	journal	NOUN
fis-13	196	32	of	of	ADP
fis-13	196	33	fatigue	fatigue	NOUN
fis-13	196	34	,	,	PUNCT
fis-13	196	35	26	26	NUM
fis-13	196	36	(	(	PUNCT
fis-13	196	37	2004	2004	NUM
fis-13	196	38	)	)	PUNCT
fis-13	196	39	819–828	819–828	NUM
fis-13	196	40	.	.	PUNCT
fis-13	197	1	[	[	X
fis-13	197	2	19	19	NUM
fis-13	197	3	]	]	X
fis-13	197	4	e.	e.	PROPN
fis-13	197	5	buckingham	buckingham	PROPN
fis-13	197	6	,	,	PUNCT
fis-13	197	7	“	"	PUNCT
fis-13	197	8	model	model	NOUN
fis-13	197	9	experiments	experiment	NOUN
fis-13	197	10	and	and	CCONJ
fis-13	197	11	the	the	DET
fis-13	197	12	form	form	NOUN
fis-13	197	13	of	of	ADP
fis-13	197	14	empirical	empirical	ADJ
fis-13	197	15	equations	equation	NOUN
fis-13	197	16	”	"	PUNCT
fis-13	197	17	,	,	PUNCT
fis-13	197	18	asme	asme	PROPN
fis-13	197	19	transactions	transaction	NOUN
fis-13	197	20	,	,	PUNCT
fis-13	197	21	37	37	NUM
fis-13	197	22	(	(	PUNCT
fis-13	197	23	1915	1915	NUM
fis-13	197	24	)	)	PUNCT
fis-13	197	25	263–296	263–296	NUM
fis-13	197	26	.	.	PUNCT
fis-13	198	1	[	[	X
fis-13	198	2	20	20	NUM
fis-13	198	3	]	]	PUNCT
fis-13	198	4	a.	a.	NOUN
fis-13	198	5	carpinteri	carpinteri	NOUN
fis-13	198	6	,	,	PUNCT
fis-13	198	7	“	"	PUNCT
fis-13	198	8	notch	notch	ADJ
fis-13	198	9	sensitivity	sensitivity	NOUN
fis-13	198	10	in	in	ADP
fis-13	198	11	fracture	fracture	NOUN
fis-13	198	12	testing	testing	NOUN
fis-13	198	13	of	of	ADP
fis-13	198	14	aggregative	aggregative	ADJ
fis-13	198	15	materials	material	NOUN
fis-13	198	16	”	"	PUNCT
fis-13	198	17	,	,	PUNCT
fis-13	198	18	engineering	engineering	NOUN
fis-13	198	19	fracture	fracture	NOUN
fis-13	198	20	mechanics	mechanic	NOUN
fis-13	198	21	,	,	PUNCT
fis-13	198	22	16	16	NUM
fis-13	198	23	(	(	PUNCT
fis-13	198	24	1982	1982	NUM
fis-13	198	25	)	)	PUNCT
fis-13	198	26	467–481	467–481	NUM
fis-13	198	27	.	.	PUNCT
fis-13	199	1	[	[	X
fis-13	199	2	21	21	NUM
fis-13	199	3	]	]	PUNCT
fis-13	199	4	a.	a.	NOUN
fis-13	199	5	carpinteri	carpinteri	NOUN
fis-13	199	6	,	,	PUNCT
fis-13	199	7	“	"	PUNCT
fis-13	199	8	plastic	plastic	ADJ
fis-13	199	9	flow	flow	NOUN
fis-13	199	10	collapse	collapse	NOUN
fis-13	199	11	vs.	vs.	ADP
fis-13	199	12	separation	separation	NOUN
fis-13	199	13	collapse	collapse	NOUN
fis-13	199	14	in	in	ADP
fis-13	199	15	elastic	elastic	ADJ
fis-13	199	16	-	-	PUNCT
fis-13	199	17	plastic	plastic	NOUN
fis-13	199	18	strain	strain	NOUN
fis-13	199	19	-	-	PUNCT
fis-13	199	20	hardening	harden	VERB
fis-13	199	21	structures	structure	NOUN
fis-13	199	22	”	"	PUNCT
fis-13	199	23	,	,	PUNCT
fis-13	199	24	rilem	rilem	NOUN
fis-13	199	25	materials	material	NOUN
fis-13	199	26	&	&	CCONJ
fis-13	199	27	structures	structure	NOUN
fis-13	199	28	,	,	PUNCT
fis-13	199	29	16	16	NUM
fis-13	199	30	(	(	PUNCT
fis-13	199	31	1983	1983	NUM
fis-13	199	32	)	)	PUNCT
fis-13	199	33	85–96	85–96	NOUN
fis-13	199	34	.	.	PUNCT
fis-13	200	1	[	[	X
fis-13	200	2	22	22	NUM
fis-13	200	3	]	]	PUNCT
fis-13	200	4	a.	a.	NOUN
fis-13	200	5	carpinteri	carpinteri	NOUN
fis-13	200	6	,	,	PUNCT
fis-13	200	7	“	"	PUNCT
fis-13	200	8	size	size	NOUN
fis-13	200	9	effects	effect	NOUN
fis-13	200	10	on	on	ADP
fis-13	200	11	strength	strength	NOUN
fis-13	200	12	,	,	PUNCT
fis-13	200	13	toughness	toughness	NOUN
fis-13	200	14	and	and	CCONJ
fis-13	200	15	ductility	ductility	NOUN
fis-13	200	16	”	"	PUNCT
fis-13	200	17	,	,	PUNCT
fis-13	200	18	journal	journal	NOUN
fis-13	200	19	of	of	ADP
fis-13	200	20	engineering	engineering	NOUN
fis-13	200	21	mechanics	mechanic	NOUN
fis-13	200	22	,	,	PUNCT
fis-13	200	23	115	115	NUM
fis-13	200	24	(	(	PUNCT
fis-13	200	25	1989	1989	NUM
fis-13	200	26	)	)	PUNCT
fis-13	200	27	1375–1392	1375–1392	NUM
fis-13	200	28	.	.	PUNCT
fis-13	201	1	[	[	X
fis-13	201	2	23	23	NUM
fis-13	201	3	]	]	PUNCT
fis-13	201	4	a.	a.	NOUN
fis-13	201	5	carpinteri	carpinteri	NOUN
fis-13	201	6	,	,	PUNCT
fis-13	201	7	“	"	PUNCT
fis-13	201	8	cusp	cusp	NOUN
fis-13	201	9	catastrophe	catastrophe	NOUN
fis-13	201	10	interpretation	interpretation	NOUN
fis-13	201	11	of	of	ADP
fis-13	201	12	fracture	fracture	PROPN
fis-13	201	13	instability	instability	NOUN
fis-13	201	14	”	"	PUNCT
fis-13	201	15	,	,	PUNCT
fis-13	201	16	journal	journal	NOUN
fis-13	201	17	of	of	ADP
fis-13	201	18	the	the	DET
fis-13	201	19	mechanics	mechanic	NOUN
fis-13	201	20	of	of	ADP
fis-13	201	21	physics	physics	PROPN
fis-13	201	22	of	of	ADP
fis-13	201	23	solids	solid	NOUN
fis-13	201	24	,	,	PUNCT
fis-13	201	25	37	37	NUM
fis-13	201	26	(	(	PUNCT
fis-13	201	27	1989	1989	NUM
fis-13	201	28	)	)	PUNCT
fis-13	202	1	567–582	567–582	NUM
fis-13	202	2	.	.	PUNCT
fis-13	203	1	[	[	X
fis-13	203	2	24	24	NUM
fis-13	203	3	]	]	PUNCT
fis-13	203	4	a.	a.	NOUN
fis-13	203	5	carpinteri	carpinteri	NOUN
fis-13	203	6	,	,	PUNCT
fis-13	203	7	“	"	PUNCT
fis-13	203	8	scaling	scale	VERB
fis-13	203	9	laws	law	NOUN
fis-13	203	10	and	and	CCONJ
fis-13	203	11	renormalization	renormalization	NOUN
fis-13	203	12	groups	group	NOUN
fis-13	203	13	for	for	ADP
fis-13	203	14	strength	strength	NOUN
fis-13	203	15	and	and	CCONJ
fis-13	203	16	toughness	toughness	NOUN
fis-13	203	17	of	of	ADP
fis-13	203	18	disordered	disordered	ADJ
fis-13	203	19	materials	material	NOUN
fis-13	203	20	”	"	PUNCT
fis-13	203	21	,	,	PUNCT
fis-13	203	22	international	international	ADJ
fis-13	203	23	journal	journal	NOUN
fis-13	203	24	of	of	ADP
fis-13	203	25	solids	solid	NOUN
fis-13	203	26	and	and	CCONJ
fis-13	203	27	structures	structure	NOUN
fis-13	203	28	,	,	PUNCT
fis-13	203	29	31	31	NUM
fis-13	203	30	(	(	PUNCT
fis-13	203	31	1994	1994	NUM
fis-13	203	32	)	)	PUNCT
fis-13	203	33	291–302	291–302	NUM
fis-13	203	34	.	.	PUNCT
fis-13	204	1	[	[	X
fis-13	204	2	25	25	NUM
fis-13	204	3	]	]	PUNCT
fis-13	204	4	a.	a.	NOUN
fis-13	204	5	carpinteri	carpinteri	NOUN
fis-13	204	6	,	,	PUNCT
fis-13	204	7	“	"	PUNCT
fis-13	204	8	strength	strength	NOUN
fis-13	204	9	and	and	CCONJ
fis-13	204	10	toughness	toughness	NOUN
fis-13	204	11	in	in	ADP
fis-13	204	12	disordered	disordered	ADJ
fis-13	204	13	materials	material	NOUN
fis-13	204	14	:	:	PUNCT
fis-13	204	15	complete	complete	ADJ
fis-13	204	16	and	and	CCONJ
fis-13	204	17	incomplete	incomplete	ADJ
fis-13	204	18	similarity	similarity	NOUN
fis-13	204	19	”	"	PUNCT
fis-13	204	20	,	,	PUNCT
fis-13	204	21	in	in	ADP
fis-13	204	22	sizescale	sizescale	ADJ
fis-13	204	23	effects	effect	NOUN
fis-13	204	24	in	in	ADP
fis-13	204	25	the	the	DET
fis-13	204	26	failure	failure	NOUN
fis-13	204	27	mechanisms	mechanism	NOUN
fis-13	204	28	of	of	ADP
fis-13	204	29	materials	material	NOUN
fis-13	204	30	and	and	CCONJ
fis-13	204	31	structures	structure	NOUN
fis-13	204	32	,	,	PUNCT
fis-13	204	33	proceedings	proceeding	NOUN
fis-13	204	34	of	of	ADP
fis-13	204	35	the	the	DET
fis-13	204	36	international	international	PROPN
fis-13	204	37	union	union	NOUN
fis-13	204	38	of	of	ADP
fis-13	204	39	theoretical	theoretical	ADJ
fis-13	204	40	and	and	CCONJ
fis-13	204	41	applied	applied	ADJ
fis-13	204	42	mechanics	mechanic	NOUN
fis-13	204	43	(	(	PUNCT
fis-13	204	44	iutam	iutam	PROPN
fis-13	204	45	)	)	PUNCT
fis-13	204	46	,	,	PUNCT
fis-13	204	47	turin	turin	PROPN
fis-13	204	48	,	,	PUNCT
fis-13	204	49	italy	italy	PROPN
fis-13	204	50	,	,	PUNCT
fis-13	204	51	3–26	3–26	PROPN
fis-13	204	52	,	,	PUNCT
fis-13	204	53	london	london	PROPN
fis-13	204	54	:	:	PUNCT
fis-13	204	55	e	e	PROPN
fis-13	204	56	&	&	CCONJ
fis-13	204	57	fn	fn	PROPN
fis-13	204	58	spon	spon	ADV
fis-13	204	59	,	,	PUNCT
fis-13	204	60	(	(	PUNCT
fis-13	204	61	1994	1994	NUM
fis-13	204	62	)	)	PUNCT
fis-13	204	63	.	.	PUNCT
fis-13	205	1	[	[	X
fis-13	205	2	26	26	NUM
fis-13	205	3	]	]	X
fis-13	205	4	r.o	r.o	PROPN
fis-13	205	5	.	.	PROPN
fis-13	205	6	ritchie	ritchie	PROPN
fis-13	205	7	,	,	PUNCT
fis-13	205	8	“	"	PUNCT
fis-13	205	9	incomplete	incomplete	ADJ
fis-13	205	10	self	self	NOUN
fis-13	205	11	-	-	PUNCT
fis-13	205	12	similarity	similarity	NOUN
fis-13	205	13	and	and	CCONJ
fis-13	205	14	fatigue	fatigue	NOUN
fis-13	205	15	-	-	PUNCT
fis-13	205	16	crack	crack	NOUN
fis-13	205	17	growth	growth	NOUN
fis-13	205	18	”	"	PUNCT
fis-13	205	19	,	,	PUNCT
fis-13	205	20	international	international	ADJ
fis-13	205	21	journal	journal	NOUN
fis-13	205	22	of	of	ADP
fis-13	205	23	fracture	fracture	NOUN
fis-13	205	24	,	,	PUNCT
fis-13	205	25	132	132	NUM
fis-13	205	26	(	(	PUNCT
fis-13	205	27	2005	2005	NUM
fis-13	205	28	)	)	PUNCT
fis-13	205	29	197–203	197–203	NUM
fis-13	205	30	.	.	PUNCT
fis-13	206	1	[	[	X
fis-13	206	2	27	27	NUM
fis-13	206	3	]	]	PUNCT
fis-13	206	4	a.	a.	NOUN
fis-13	206	5	carpinteri	carpinteri	NOUN
fis-13	206	6	,	,	PUNCT
fis-13	206	7	“	"	PUNCT
fis-13	206	8	static	static	ADJ
fis-13	206	9	and	and	CCONJ
fis-13	206	10	energetic	energetic	ADJ
fis-13	206	11	fracture	fracture	NOUN
fis-13	206	12	parameters	parameter	NOUN
fis-13	206	13	for	for	ADP
fis-13	206	14	rocks	rock	NOUN
fis-13	206	15	and	and	CCONJ
fis-13	206	16	concretes	concrete	NOUN
fis-13	206	17	”	"	PUNCT
fis-13	206	18	,	,	PUNCT
fis-13	206	19	rilem	rilem	NOUN
fis-13	206	20	materials	material	NOUN
fis-13	206	21	&	&	CCONJ
fis-13	206	22	structures	structure	NOUN
fis-13	206	23	,	,	PUNCT
fis-13	206	24	14	14	NUM
fis-13	206	25	(	(	PUNCT
fis-13	206	26	1981	1981	NUM
fis-13	206	27	)	)	PUNCT
fis-13	206	28	151–162	151–162	NUM
fis-13	206	29	.	.	PUNCT
fis-13	207	1	[	[	X
fis-13	207	2	28	28	NUM
fis-13	207	3	]	]	X
fis-13	207	4	i.	i.	PROPN
fis-13	207	5	milne	milne	PROPN
fis-13	207	6	,	,	PUNCT
fis-13	207	7	r.o	r.o	PROPN
fis-13	207	8	.	.	PROPN
fis-13	207	9	ritchie	ritchie	PROPN
fis-13	207	10	and	and	CCONJ
fis-13	207	11	b.l	b.l	PROPN
fis-13	207	12	.	.	PROPN
fis-13	207	13	karihaloo	karihaloo	PROPN
fis-13	207	14	,	,	PUNCT
fis-13	207	15	eds	eds	PROPN
fis-13	207	16	.	.	PUNCT
fis-13	208	1	“	"	PUNCT
fis-13	208	2	comprehensive	comprehensive	ADJ
fis-13	208	3	structural	structural	ADJ
fis-13	208	4	integrity	integrity	NOUN
fis-13	208	5	:	:	PUNCT
fis-13	208	6	fracture	fracture	NOUN
fis-13	208	7	of	of	ADP
fis-13	208	8	materials	material	NOUN
fis-13	208	9	from	from	ADP
fis-13	208	10	nano	nano	PROPN
fis-13	208	11	to	to	ADP
fis-13	208	12	macro	macro	NOUN
fis-13	208	13	”	"	PUNCT
fis-13	208	14	,	,	PUNCT
fis-13	208	15	vol	vol	NOUN
fis-13	208	16	.	.	PROPN
fis-13	209	1	4	4	NUM
fis-13	209	2	:	:	PUNCT
fis-13	209	3	cyclic	cyclic	ADJ
fis-13	209	4	loading	loading	NOUN
fis-13	209	5	and	and	CCONJ
fis-13	209	6	fatigue	fatigue	NOUN
fis-13	209	7	,	,	PUNCT
fis-13	209	8	elsevier	elsevier	NOUN
fis-13	209	9	,	,	PUNCT
fis-13	209	10	amsterdam	amsterdam	PROPN
fis-13	209	11	(	(	PUNCT
fis-13	209	12	2003	2003	NUM
fis-13	209	13	)	)	PUNCT
fis-13	209	14	.	.	PUNCT
fis-13	210	1	[	[	X
fis-13	210	2	29	29	NUM
fis-13	210	3	]	]	X
fis-13	210	4	e.h	e.h	PROPN
fis-13	210	5	.	.	PROPN
fis-13	210	6	niccolls	niccoll	NOUN
fis-13	210	7	,	,	PUNCT
fis-13	210	8	“	"	PUNCT
fis-13	210	9	a	a	DET
fis-13	210	10	correlation	correlation	NOUN
fis-13	210	11	for	for	ADP
fis-13	210	12	fatigue	fatigue	NOUN
fis-13	210	13	crack	crack	NOUN
fis-13	210	14	growth	growth	NOUN
fis-13	210	15	rate	rate	NOUN
fis-13	210	16	”	"	PUNCT
fis-13	210	17	,	,	PUNCT
fis-13	210	18	scripta	scripta	PROPN
fis-13	210	19	metallurgica	metallurgica	PROPN
fis-13	210	20	,	,	PUNCT
fis-13	210	21	10	10	NUM
fis-13	210	22	(	(	PUNCT
fis-13	210	23	1976	1976	NUM
fis-13	210	24	)	)	PUNCT
fis-13	210	25	295–298	295–298	NUM
fis-13	210	26	.	.	PUNCT
fis-13	211	1	[	[	X
fis-13	211	2	30	30	NUM
fis-13	211	3	]	]	PUNCT
fis-13	211	4	materials	material	NOUN
fis-13	211	5	park	park	NOUN
fis-13	211	6	:	:	PUNCT
fis-13	211	7	asm	asm	PROPN
fis-13	211	8	international	international	NOUN
fis-13	211	9	.	.	PUNCT
fis-13	212	1	asm	asm	NOUN
fis-13	212	2	handbook	handbook	NOUN
fis-13	212	3	,	,	PUNCT
fis-13	212	4	(	(	PUNCT
fis-13	212	5	1985	1985	NUM
fis-13	212	6	-	-	SYM
fis-13	212	7	1988	1988	NUM
fis-13	212	8	)	)	PUNCT
fis-13	212	9	.	.	PUNCT
fis-13	213	1	fatigue	fatigue	NOUN
fis-13	213	2	and	and	CCONJ
fis-13	213	3	fracture	fracture	NOUN
fis-13	213	4	.	.	PUNCT
fis-13	214	1	[	[	X
fis-13	214	2	31	31	NUM
fis-13	214	3	]	]	PUNCT
fis-13	214	4	materials	material	NOUN
fis-13	214	5	park	park	NOUN
fis-13	214	6	:	:	PUNCT
fis-13	214	7	asm	asm	PROPN
fis-13	214	8	international	international	NOUN
fis-13	214	9	.	.	PUNCT
fis-13	215	1	metals	metal	NOUN
fis-13	215	2	handbook	handbook	NOUN
fis-13	215	3	,	,	PUNCT
fis-13	215	4	(	(	PUNCT
fis-13	215	5	1985	1985	NUM
fis-13	215	6	)	)	PUNCT
fis-13	215	7	.	.	PUNCT
fis-13	216	1	[	[	X
fis-13	216	2	32	32	NUM
fis-13	216	3	]	]	SYM
fis-13	216	4	materials	material	NOUN
fis-13	216	5	park	park	NOUN
fis-13	216	6	:	:	PUNCT
fis-13	216	7	asm	asm	NOUN
fis-13	216	8	international	international	ADJ
fis-13	216	9	10th	10th	ADJ
fis-13	216	10	ed	ed	NOUN
fis-13	216	11	.	.	PUNCT
fis-13	216	12	metals	metal	NOUN
fis-13	216	13	handbook	handbook	NOUN
fis-13	216	14	,	,	PUNCT
fis-13	216	15	(	(	PUNCT
fis-13	216	16	1990	1990	NUM
fis-13	216	17	)	)	PUNCT
fis-13	216	18	.	.	PUNCT
fis-13	217	1	properties	property	NOUN
fis-13	217	2	and	and	CCONJ
fis-13	217	3	selection	selection	NOUN
fis-13	217	4	:	:	PUNCT
fis-13	217	5	nonferrous	nonferrous	ADJ
fis-13	217	6	alloys	alloy	NOUN
fis-13	217	7	and	and	CCONJ
fis-13	217	8	special	special	ADJ
fis-13	217	9	-	-	PUNCT
fis-13	217	10	purpose	purpose	NOUN
fis-13	217	11	materials	material	NOUN
fis-13	217	12	.	.	PUNCT
fis-13	218	1	[	[	X
fis-13	218	2	33	33	NUM
fis-13	218	3	]	]	PUNCT
fis-13	218	4	cindas	cindas	PROPN
fis-13	218	5	/	/	SYM
fis-13	218	6	purdue	purdue	PROPN
fis-13	218	7	university	university	PROPN
fis-13	218	8	,	,	PUNCT
fis-13	218	9	west	west	PROPN
fis-13	218	10	lafayette	lafayette	PROPN
fis-13	218	11	,	,	PUNCT
fis-13	218	12	in	in	ADP
fis-13	218	13	.	.	PUNCT
fis-13	219	1	structural	structural	ADJ
fis-13	219	2	alloys	alloy	NOUN
fis-13	219	3	handbook	handbook	NOUN
fis-13	219	4	,	,	PUNCT
fis-13	219	5	(	(	PUNCT
fis-13	219	6	1996	1996	NUM
fis-13	219	7	)	)	PUNCT
fis-13	219	8	.	.	PUNCT
fis-13	220	1	[	[	X
fis-13	220	2	34	34	NUM
fis-13	220	3	]	]	X
fis-13	220	4	b.	b.	PROPN
fis-13	220	5	farahmand	farahmand	PROPN
fis-13	220	6	,	,	PUNCT
fis-13	220	7	“	"	PUNCT
fis-13	220	8	analytical	analytical	ADJ
fis-13	220	9	method	method	NOUN
fis-13	220	10	of	of	ADP
fis-13	220	11	generating	generate	VERB
fis-13	220	12	da	da	ADJ
fis-13	220	13	/	/	SYM
fis-13	220	14	dn	dn	NOUN
fis-13	220	15	curves	curve	NOUN
fis-13	220	16	for	for	ADP
fis-13	220	17	aerospace	aerospace	NOUN
fis-13	220	18	alloys	alloy	NOUN
fis-13	220	19	”	"	PUNCT
fis-13	220	20	,	,	PUNCT
fis-13	220	21	in	in	ADP
fis-13	220	22	:	:	PUNCT
fis-13	220	23	gdoutos	gdoutos	NOUN
fis-13	220	24	ee	ee	PROPN
fis-13	220	25	,	,	PUNCT
fis-13	220	26	editor	editor	NOUN
fis-13	220	27	.	.	PUNCT
fis-13	221	1	fracture	fracture	NOUN
fis-13	221	2	of	of	ADP
fis-13	221	3	nano	nano	NOUN
fis-13	221	4	and	and	CCONJ
fis-13	221	5	engineering	engineering	NOUN
fis-13	221	6	materials	material	NOUN
fis-13	221	7	and	and	CCONJ
fis-13	221	8	structures	structure	NOUN
fis-13	221	9	(	(	PUNCT
fis-13	221	10	proceedings	proceeding	NOUN
fis-13	221	11	of	of	ADP
fis-13	221	12	the	the	DET
fis-13	221	13	16th	16th	ADJ
fis-13	221	14	european	european	ADJ
fis-13	221	15	conference	conference	NOUN
fis-13	221	16	of	of	ADP
fis-13	221	17	fracture	fracture	NOUN
fis-13	221	18	,	,	PUNCT
fis-13	221	19	alexandroupolis	alexandroupolis	PROPN
fis-13	221	20	,	,	PUNCT
fis-13	221	21	greece	greece	PROPN
fis-13	221	22	,	,	PUNCT
fis-13	221	23	2006	2006	NUM
fis-13	221	24	)	)	PUNCT
fis-13	221	25	,	,	PUNCT
fis-13	221	26	paper	paper	NOUN
fis-13	221	27	no	no	NOUN
fis-13	221	28	.	.	PROPN
fis-13	221	29	140	140	NUM
fis-13	221	30	on	on	ADP
fis-13	221	31	cd	cd	PROPN
fis-13	221	32	–	–	PUNCT
fis-13	221	33	rom	rom	PROPN
fis-13	221	34	.	.	PROPN
fis-13	221	35	springer	springer	PROPN
fis-13	221	36	,	,	PUNCT
fis-13	221	37	dordrecht	dordrecht	X
fis-13	221	38	(	(	PUNCT
fis-13	221	39	2006	2006	NUM
fis-13	221	40	)	)	PUNCT
fis-13	221	41	.	.	PUNCT
fis-13	222	1	[	[	X
fis-13	222	2	35	35	NUM
fis-13	222	3	]	]	SYM
fis-13	222	4	r.g	r.g	PROPN
fis-13	222	5	.	.	PROPN
fis-13	222	6	forman	forman	PROPN
fis-13	222	7	,	,	PUNCT
fis-13	222	8	v.	v.	ADP
fis-13	222	9	shivakumar	shivakumar	PROPN
fis-13	222	10	and	and	CCONJ
fis-13	222	11	j.c	j.c	PROPN
fis-13	222	12	.	.	PROPN
fis-13	222	13	newman	newman	PROPN
fis-13	222	14	,	,	PUNCT
fis-13	222	15	“	"	PUNCT
fis-13	222	16	fatigue	fatigue	NOUN
fis-13	222	17	crack	crack	NOUN
fis-13	222	18	growth	growth	NOUN
fis-13	222	19	computer	computer	NOUN
fis-13	222	20	program	program	NOUN
fis-13	222	21	nasa	nasa	PROPN
fis-13	222	22	/	/	SYM
fis-13	222	23	flagro	flagro	PROPN
fis-13	222	24	”	"	PUNCT
fis-13	222	25	,	,	PUNCT
fis-13	222	26	technical	technical	ADJ
fis-13	222	27	report	report	NOUN
fis-13	222	28	jsc-22267a	jsc-22267a	NOUN
fis-13	222	29	,	,	PUNCT
fis-13	222	30	nasa	nasa	PROPN
fis-13	222	31	,	,	PUNCT
fis-13	222	32	january	january	PROPN
fis-13	222	33	1993	1993	NUM
fis-13	222	34	.	.	PUNCT
fis-13	223	1	[	[	X
fis-13	223	2	36	36	NUM
fis-13	223	3	]	]	PUNCT
fis-13	223	4	a.	a.	NOUN
fis-13	223	5	carpinteri	carpinteri	NOUN
fis-13	223	6	and	and	CCONJ
fis-13	223	7	m.	m.	NOUN
fis-13	223	8	paggi	paggi	PROPN
fis-13	223	9	,	,	PUNCT
fis-13	223	10	“	"	PUNCT
fis-13	223	11	self	self	NOUN
fis-13	223	12	-	-	PUNCT
fis-13	223	13	similarity	similarity	NOUN
fis-13	223	14	and	and	CCONJ
fis-13	223	15	crack	crack	VERB
fis-13	223	16	growth	growth	NOUN
fis-13	223	17	instability	instability	NOUN
fis-13	223	18	in	in	ADP
fis-13	223	19	the	the	DET
fis-13	223	20	correlation	correlation	NOUN
fis-13	223	21	between	between	ADP
fis-13	223	22	the	the	DET
fis-13	223	23	al	al	PROPN
fis-13	223	24	.	.	PROPN
fis-13	223	25	carpinteri	carpinteri	PROPN
fis-13	223	26	et	et	PROPN
fis-13	223	27	al	al	PROPN
fis-13	223	28	.	.	PROPN
fis-13	223	29	,	,	PUNCT
fis-13	223	30	frattura	frattura	PROPN
fis-13	223	31	ed	ed	PROPN
fis-13	223	32	integrità	integrità	PROPN
fis-13	223	33	strutturale	strutturale	PROPN
fis-13	223	34	,	,	PUNCT
fis-13	223	35	2	2	NUM
fis-13	223	36	(	(	PUNCT
fis-13	223	37	2007	2007	NUM
fis-13	223	38	)	)	PUNCT
fis-13	223	39	10	10	NUM
fis-13	223	40	-	-	SYM
fis-13	223	41	16	16	NUM
fis-13	223	42	16	16	NUM
fis-13	223	43	paris	paris	PROPN
fis-13	223	44	’	'	PUNCT
fis-13	223	45	constants	constant	NOUN
fis-13	223	46	”	"	PUNCT
fis-13	223	47	,	,	PUNCT
fis-13	223	48	engineering	engineering	NOUN
fis-13	223	49	fracture	fracture	NOUN
fis-13	223	50	mechanics	mechanic	NOUN
fis-13	223	51	,	,	PUNCT
fis-13	223	52	74	74	NUM
fis-13	223	53	(	(	PUNCT
fis-13	223	54	2007	2007	NUM
fis-13	223	55	)	)	PUNCT
fis-13	223	56	1041–1053	1041–1053	NUM
fis-13	223	57	.	.	PUNCT
fis-13	224	1	[	[	X
fis-13	224	2	37	37	NUM
fis-13	224	3	]	]	X
fis-13	224	4	n.	n.	NOUN
fis-13	224	5	pugno	pugno	PROPN
fis-13	224	6	,	,	PUNCT
fis-13	224	7	m.	m.	NOUN
fis-13	224	8	ciavarella	ciavarella	NOUN
fis-13	224	9	,	,	PUNCT
fis-13	224	10	p.	p.	NOUN
fis-13	224	11	cornetti	cornetti	PROPN
fis-13	224	12	and	and	CCONJ
fis-13	224	13	a.	a.	NOUN
fis-13	224	14	carpinteri	carpinteri	NOUN
fis-13	224	15	,	,	PUNCT
fis-13	224	16	“	"	PUNCT
fis-13	224	17	a	a	DET
fis-13	224	18	generalized	generalized	ADJ
fis-13	224	19	paris	paris	PROPN
fis-13	224	20	’	'	PUNCT
fis-13	224	21	law	law	NOUN
fis-13	224	22	for	for	ADP
fis-13	224	23	fatigue	fatigue	NOUN
fis-13	224	24	crack	crack	NOUN
fis-13	224	25	growth	growth	NOUN
fis-13	224	26	”	"	PUNCT
fis-13	224	27	,	,	PUNCT
fis-13	224	28	journal	journal	NOUN
fis-13	224	29	of	of	ADP
fis-13	224	30	the	the	DET
fis-13	224	31	mechanics	mechanic	NOUN
fis-13	224	32	and	and	CCONJ
fis-13	224	33	physics	physic	NOUN
fis-13	224	34	of	of	ADP
fis-13	224	35	solids	solid	NOUN
fis-13	224	36	,	,	PUNCT
fis-13	224	37	54	54	NUM
fis-13	224	38	(	(	PUNCT
fis-13	224	39	2006	2006	NUM
fis-13	224	40	)	)	PUNCT
fis-13	224	41	1333–49	1333–49	VERB
fis-13	224	42	.	.	PUNCT
fis-13	225	1	[	[	X
fis-13	225	2	38	38	NUM
fis-13	225	3	]	]	PUNCT
fis-13	225	4	n.	n.	NOUN
fis-13	225	5	pugno	pugno	PROPN
fis-13	225	6	,	,	PUNCT
fis-13	225	7	p.	p.	NOUN
fis-13	225	8	cornetti	cornetti	PROPN
fis-13	225	9	and	and	CCONJ
fis-13	225	10	a.	a.	NOUN
fis-13	225	11	carpinteri	carpinteri	NOUN
fis-13	225	12	,	,	PUNCT
fis-13	225	13	“	"	PUNCT
fis-13	225	14	new	new	ADJ
fis-13	225	15	unified	unified	ADJ
fis-13	225	16	laws	law	NOUN
fis-13	225	17	in	in	ADP
fis-13	225	18	fatigue	fatigue	NOUN
fis-13	225	19	:	:	PUNCT
fis-13	225	20	from	from	ADP
fis-13	225	21	the	the	DET
fis-13	225	22	wöhler	wöhler	NOUN
fis-13	225	23	to	to	ADP
fis-13	225	24	the	the	DET
fis-13	225	25	paris	paris	PROPN
fis-13	225	26	’	'	PUNCT
fis-13	225	27	regime	regime	NOUN
fis-13	225	28	”	"	PUNCT
fis-13	225	29	,	,	PUNCT
fis-13	225	30	engineering	engineering	NOUN
fis-13	225	31	fracture	fracture	NOUN
fis-13	225	32	mechanics	mechanic	NOUN
fis-13	225	33	,	,	PUNCT
fis-13	225	34	74	74	NUM
fis-13	225	35	(	(	PUNCT
fis-13	225	36	2007	2007	NUM
fis-13	225	37	)	)	PUNCT
fis-13	225	38	595	595	NUM
fis-13	225	39	–	–	PUNCT
fis-13	225	40	601	601	NUM
fis-13	225	41	.	.	PUNCT