id	sid	tid	token	lemma	pos
fis-213	1	1	microsoft	microsoft	PROPN
fis-213	1	2	word	word	PROPN
fis-213	1	3	numero	numero	PROPN
fis-213	1	4	25	25	NUM
fis-213	1	5	art	art	NOUN
fis-213	1	6	13	13	NUM
fis-213	1	7	h.	h.	NOUN
fis-213	1	8	askes	ask	VERB
fis-213	1	9	et	et	PROPN
fis-213	1	10	alii	alii	PROPN
fis-213	1	11	,	,	PUNCT
fis-213	1	12	frattura	frattura	PROPN
fis-213	1	13	ed	ed	PROPN
fis-213	1	14	integrità	integrità	PROPN
fis-213	1	15	strutturale	strutturale	PROPN
fis-213	1	16	,	,	PUNCT
fis-213	1	17	25	25	NUM
fis-213	1	18	(	(	PUNCT
fis-213	1	19	2013	2013	NUM
fis-213	1	20	)	)	PUNCT
fis-213	1	21	87	87	NUM
fis-213	1	22	-	-	SYM
fis-213	1	23	93	93	NUM
fis-213	1	24	;	;	PUNCT
fis-213	1	25	doi	doi	NOUN
fis-213	1	26	:	:	PUNCT
fis-213	1	27	10.3221	10.3221	NUM
fis-213	1	28	/	/	SYM
fis-213	1	29	igf	igf	PROPN
fis-213	1	30	-	-	PROPN
fis-213	1	31	esis.25.13	esis.25.13	PROPN
fis-213	1	32	87	87	NUM
fis-213	1	33	special	special	ADJ
fis-213	1	34	issue	issue	NOUN
fis-213	1	35	:	:	PUNCT
fis-213	1	36	characterization	characterization	NOUN
fis-213	1	37	of	of	ADP
fis-213	1	38	crack	crack	NOUN
fis-213	1	39	tip	tip	NOUN
fis-213	1	40	stress	stress	NOUN
fis-213	1	41	field	field	NOUN
fis-213	1	42	gradient	gradient	NOUN
fis-213	1	43	enriched	enrich	VERB
fis-213	1	44	linear	linear	ADJ
fis-213	1	45	-	-	PUNCT
fis-213	1	46	elastic	elastic	ADJ
fis-213	1	47	crack	crack	NOUN
fis-213	1	48	tip	tip	NOUN
fis-213	1	49	stresses	stress	NOUN
fis-213	1	50	to	to	PART
fis-213	1	51	estimate	estimate	VERB
fis-213	1	52	the	the	DET
fis-213	1	53	static	static	ADJ
fis-213	1	54	strength	strength	NOUN
fis-213	1	55	of	of	ADP
fis-213	1	56	cracked	crack	VERB
fis-213	1	57	engineering	engineering	NOUN
fis-213	1	58	ceramics	ceramic	NOUN
fis-213	1	59	harm	harm	NOUN
fis-213	1	60	askes	ask	VERB
fis-213	1	61	,	,	PUNCT
fis-213	1	62	luca	luca	PROPN
fis-213	1	63	susmel	susmel	PROPN
fis-213	1	64	department	department	PROPN
fis-213	1	65	of	of	ADP
fis-213	1	66	civil	civil	ADJ
fis-213	1	67	and	and	CCONJ
fis-213	1	68	structural	structural	ADJ
fis-213	1	69	engineering	engineering	NOUN
fis-213	1	70	,	,	PUNCT
fis-213	1	71	the	the	DET
fis-213	1	72	university	university	PROPN
fis-213	1	73	of	of	ADP
fis-213	1	74	sheffield	sheffield	PROPN
fis-213	1	75	,	,	PUNCT
fis-213	1	76	sheffield	sheffield	NOUN
fis-213	1	77	s1	s1	PROPN
fis-213	1	78	3jd	3jd	PROPN
fis-213	1	79	,	,	PUNCT
fis-213	1	80	united	united	ADJ
fis-213	1	81	kingdom	kingdom	PROPN
fis-213	1	82	abstract	abstract	NOUN
fis-213	1	83	.	.	PUNCT
fis-213	2	1	according	accord	VERB
fis-213	2	2	to	to	ADP
fis-213	2	3	gradient	gradient	ADJ
fis-213	2	4	mechanics	mechanic	NOUN
fis-213	2	5	(	(	PUNCT
fis-213	2	6	gm	gm	PROPN
fis-213	2	7	)	)	PUNCT
fis-213	2	8	,	,	PUNCT
fis-213	2	9	stress	stress	NOUN
fis-213	2	10	fields	field	NOUN
fis-213	2	11	have	have	VERB
fis-213	2	12	to	to	PART
fis-213	2	13	be	be	AUX
fis-213	2	14	determined	determine	VERB
fis-213	2	15	by	by	ADP
fis-213	2	16	directly	directly	ADV
fis-213	2	17	incorporating	incorporate	VERB
fis-213	2	18	into	into	ADP
fis-213	2	19	the	the	DET
fis-213	2	20	stress	stress	NOUN
fis-213	2	21	analysis	analysis	NOUN
fis-213	2	22	a	a	DET
fis-213	2	23	length	length	NOUN
fis-213	2	24	scale	scale	NOUN
fis-213	2	25	which	which	PRON
fis-213	2	26	that	that	PRON
fis-213	2	27	takes	take	VERB
fis-213	2	28	into	into	ADP
fis-213	2	29	account	account	NOUN
fis-213	2	30	the	the	DET
fis-213	2	31	material	material	ADJ
fis-213	2	32	microstructural	microstructural	ADJ
fis-213	2	33	features	feature	NOUN
fis-213	2	34	.	.	PUNCT
fis-213	3	1	this	this	DET
fis-213	3	2	peculiar	peculiar	ADJ
fis-213	3	3	modus	modus	X
fis-213	3	4	operandi	operandi	X
fis-213	3	5	results	result	NOUN
fis-213	3	6	in	in	ADP
fis-213	3	7	stress	stress	NOUN
fis-213	3	8	fields	field	NOUN
fis-213	3	9	in	in	ADP
fis-213	3	10	the	the	DET
fis-213	3	11	vicinity	vicinity	NOUN
fis-213	3	12	of	of	ADP
fis-213	3	13	sharp	sharp	ADJ
fis-213	3	14	cracks	crack	NOUN
fis-213	3	15	which	which	PRON
fis-213	3	16	are	be	AUX
fis-213	3	17	no	no	ADV
fis-213	3	18	longer	long	ADV
fis-213	3	19	singular	singular	ADJ
fis-213	3	20	,	,	PUNCT
fis-213	3	21	even	even	ADV
fis-213	3	22	though	though	SCONJ
fis-213	3	23	the	the	DET
fis-213	3	24	assessed	assessed	ADJ
fis-213	3	25	material	material	NOUN
fis-213	3	26	is	be	AUX
fis-213	3	27	assumed	assume	VERB
fis-213	3	28	to	to	PART
fis-213	3	29	obey	obey	VERB
fis-213	3	30	a	a	DET
fis-213	3	31	linear	linear	ADJ
fis-213	3	32	-	-	PUNCT
fis-213	3	33	elastic	elastic	ADJ
fis-213	3	34	constitutive	constitutive	ADJ
fis-213	3	35	law	law	NOUN
fis-213	3	36	.	.	PUNCT
fis-213	4	1	given	give	VERB
fis-213	4	2	both	both	CCONJ
fis-213	4	3	the	the	DET
fis-213	4	4	geometry	geometry	NOUN
fis-213	4	5	of	of	ADP
fis-213	4	6	the	the	DET
fis-213	4	7	cracked	crack	VERB
fis-213	4	8	component	component	NOUN
fis-213	4	9	being	be	AUX
fis-213	4	10	assessed	assess	VERB
fis-213	4	11	and	and	CCONJ
fis-213	4	12	the	the	DET
fis-213	4	13	value	value	NOUN
fis-213	4	14	of	of	ADP
fis-213	4	15	the	the	DET
fis-213	4	16	material	material	NOUN
fis-213	4	17	length	length	NOUN
fis-213	4	18	scale	scale	NOUN
fis-213	4	19	,	,	PUNCT
fis-213	4	20	the	the	DET
fis-213	4	21	magnitude	magnitude	NOUN
fis-213	4	22	of	of	ADP
fis-213	4	23	the	the	DET
fis-213	4	24	corresponding	corresponding	ADJ
fis-213	4	25	gradient	gradient	NOUN
fis-213	4	26	enriched	enrich	VERB
fis-213	4	27	linear	linear	ADJ
fis-213	4	28	-	-	PUNCT
fis-213	4	29	elastic	elastic	ADJ
fis-213	4	30	crack	crack	NOUN
fis-213	4	31	tip	tip	NOUN
fis-213	4	32	stress	stress	NOUN
fis-213	4	33	is	be	AUX
fis-213	4	34	then	then	ADV
fis-213	4	35	finite	finite	ADJ
fis-213	4	36	and	and	CCONJ
fis-213	4	37	it	it	PRON
fis-213	4	38	can	can	AUX
fis-213	4	39	be	be	AUX
fis-213	4	40	calculated	calculate	VERB
fis-213	4	41	by	by	ADP
fis-213	4	42	taking	take	VERB
fis-213	4	43	full	full	ADJ
fis-213	4	44	advantage	advantage	NOUN
fis-213	4	45	of	of	ADP
fis-213	4	46	those	those	DET
fis-213	4	47	computational	computational	ADJ
fis-213	4	48	methods	method	NOUN
fis-213	4	49	specifically	specifically	ADV
fis-213	4	50	devised	devise	VERB
fis-213	4	51	to	to	PART
fis-213	4	52	numerically	numerically	ADV
fis-213	4	53	implement	implement	VERB
fis-213	4	54	gradient	gradient	NOUN
fis-213	4	55	elasticity	elasticity	NOUN
fis-213	4	56	.	.	PUNCT
fis-213	5	1	in	in	ADP
fis-213	5	2	the	the	DET
fis-213	5	3	present	present	ADJ
fis-213	5	4	investigation	investigation	NOUN
fis-213	5	5	,	,	PUNCT
fis-213	5	6	it	it	PRON
fis-213	5	7	is	be	AUX
fis-213	5	8	first	first	ADV
fis-213	5	9	shown	show	VERB
fis-213	5	10	that	that	SCONJ
fis-213	5	11	gm	gm	PROPN
fis-213	5	12	’s	’s	PART
fis-213	5	13	length	length	NOUN
fis-213	5	14	scale	scale	NOUN
fis-213	5	15	can	can	AUX
fis-213	5	16	directly	directly	ADV
fis-213	5	17	be	be	AUX
fis-213	5	18	estimated	estimate	VERB
fis-213	5	19	from	from	ADP
fis-213	5	20	the	the	DET
fis-213	5	21	material	material	NOUN
fis-213	5	22	ultimate	ultimate	ADJ
fis-213	5	23	tensile	tensile	NOUN
fis-213	5	24	strength	strength	NOUN
fis-213	5	25	and	and	CCONJ
fis-213	5	26	the	the	DET
fis-213	5	27	plane	plane	NOUN
fis-213	5	28	strain	strain	NOUN
fis-213	5	29	fracture	fracture	NOUN
fis-213	5	30	toughness	toughness	NOUN
fis-213	5	31	through	through	ADP
fis-213	5	32	the	the	DET
fis-213	5	33	critical	critical	ADJ
fis-213	5	34	distance	distance	NOUN
fis-213	5	35	value	value	NOUN
fis-213	5	36	calculated	calculate	VERB
fis-213	5	37	according	accord	VERB
fis-213	5	38	to	to	ADP
fis-213	5	39	the	the	DET
fis-213	5	40	theory	theory	NOUN
fis-213	5	41	of	of	ADP
fis-213	5	42	critical	critical	ADJ
fis-213	5	43	distances	distance	NOUN
fis-213	5	44	.	.	PUNCT
fis-213	6	1	next	next	ADV
fis-213	6	2	,	,	PUNCT
fis-213	6	3	by	by	ADP
fis-213	6	4	post	post	ADJ
fis-213	6	5	-	-	ADJ
fis-213	6	6	processing	process	VERB
fis-213	6	7	a	a	DET
fis-213	6	8	large	large	ADJ
fis-213	6	9	number	number	NOUN
fis-213	6	10	of	of	ADP
fis-213	6	11	experimental	experimental	ADJ
fis-213	6	12	results	result	NOUN
fis-213	6	13	taken	take	VERB
fis-213	6	14	from	from	ADP
fis-213	6	15	the	the	DET
fis-213	6	16	literature	literature	NOUN
fis-213	6	17	and	and	CCONJ
fis-213	6	18	generated	generate	VERB
fis-213	6	19	by	by	ADP
fis-213	6	20	testing	test	VERB
fis-213	6	21	cracked	crack	VERB
fis-213	6	22	ceramics	ceramic	NOUN
fis-213	6	23	,	,	PUNCT
fis-213	6	24	it	it	PRON
fis-213	6	25	is	be	AUX
fis-213	6	26	shown	show	VERB
fis-213	6	27	that	that	SCONJ
fis-213	6	28	gradient	gradient	ADJ
fis-213	6	29	enriched	enrich	VERB
fis-213	6	30	linearelastic	linearelastic	ADJ
fis-213	6	31	crack	crack	NOUN
fis-213	6	32	tip	tip	NOUN
fis-213	6	33	stresses	stress	NOUN
fis-213	6	34	can	can	AUX
fis-213	6	35	successfully	successfully	ADV
fis-213	6	36	be	be	AUX
fis-213	6	37	used	use	VERB
fis-213	6	38	to	to	PART
fis-213	6	39	model	model	VERB
fis-213	6	40	the	the	DET
fis-213	6	41	transition	transition	NOUN
fis-213	6	42	from	from	ADP
fis-213	6	43	the	the	DET
fis-213	6	44	shortto	shortto	NOUN
fis-213	6	45	the	the	DET
fis-213	6	46	long	long	ADV
fis-213	6	47	-	-	PUNCT
fis-213	6	48	crack	crack	NOUN
fis-213	6	49	regime	regime	NOUN
fis-213	6	50	under	under	ADP
fis-213	6	51	mode	mode	NOUN
fis-213	6	52	i	i	PRON
fis-213	6	53	static	static	ADJ
fis-213	6	54	loading	loading	NOUN
fis-213	6	55	.	.	PUNCT
fis-213	7	1	keywords	keyword	NOUN
fis-213	7	2	.	.	PUNCT
fis-213	8	1	length	length	NOUN
fis-213	8	2	scale	scale	NOUN
fis-213	8	3	;	;	PUNCT
fis-213	8	4	gradient	gradient	ADJ
fis-213	8	5	elasticity	elasticity	NOUN
fis-213	8	6	;	;	PUNCT
fis-213	8	7	theory	theory	NOUN
fis-213	8	8	of	of	ADP
fis-213	8	9	critical	critical	ADJ
fis-213	8	10	distances	distance	NOUN
fis-213	8	11	;	;	PUNCT
fis-213	8	12	static	static	ADJ
fis-213	8	13	breakage	breakage	NOUN
fis-213	8	14	;	;	PUNCT
fis-213	9	1	ceramics	ceramic	NOUN
fis-213	9	2	.	.	PUNCT
fis-213	10	1	introduction	introduction	NOUN
fis-213	10	2	ertainly	ertainly	ADV
fis-213	10	3	linear	linear	ADJ
fis-213	10	4	elastic	elastic	ADJ
fis-213	10	5	fracture	fracture	NOUN
fis-213	10	6	mechanics	mechanic	NOUN
fis-213	10	7	(	(	PUNCT
fis-213	10	8	lefm	lefm	PROPN
fis-213	10	9	)	)	PUNCT
fis-213	10	10	as	as	SCONJ
fis-213	10	11	formalised	formalise	VERB
fis-213	10	12	by	by	ADP
fis-213	10	13	griffith	griffith	PROPN
fis-213	10	14	,	,	PUNCT
fis-213	10	15	irwin	irwin	PROPN
fis-213	10	16	and	and	CCONJ
fis-213	10	17	others	other	NOUN
fis-213	10	18	represents	represent	VERB
fis-213	10	19	a	a	DET
fis-213	10	20	ground	ground	NOUN
fis-213	10	21	-	-	PUNCT
fis-213	10	22	breaking	break	VERB
fis-213	10	23	point	point	NOUN
fis-213	10	24	of	of	ADP
fis-213	10	25	no	no	DET
fis-213	10	26	return	return	NOUN
fis-213	10	27	in	in	ADP
fis-213	10	28	the	the	DET
fis-213	10	29	field	field	NOUN
fis-213	10	30	of	of	ADP
fis-213	10	31	fracture	fracture	NOUN
fis-213	10	32	and	and	CCONJ
fis-213	10	33	strength	strength	NOUN
fis-213	10	34	of	of	ADP
fis-213	10	35	engineering	engineering	NOUN
fis-213	10	36	materials	material	NOUN
fis-213	10	37	,	,	PUNCT
fis-213	10	38	this	this	PRON
fis-213	10	39	holding	hold	VERB
fis-213	10	40	true	true	ADJ
fis-213	10	41	not	not	PART
fis-213	10	42	only	only	ADV
fis-213	10	43	from	from	ADP
fis-213	10	44	a	a	DET
fis-213	10	45	scientific	scientific	ADJ
fis-213	10	46	,	,	PUNCT
fis-213	10	47	but	but	CCONJ
fis-213	10	48	also	also	ADV
fis-213	10	49	from	from	ADP
fis-213	10	50	an	an	DET
fis-213	10	51	industrial	industrial	ADJ
fis-213	10	52	point	point	NOUN
fis-213	10	53	of	of	ADP
fis-213	10	54	view	view	NOUN
fis-213	10	55	.	.	PUNCT
fis-213	11	1	what	what	PRON
fis-213	11	2	we	we	PRON
fis-213	11	3	have	have	AUX
fis-213	11	4	achieved	achieve	VERB
fis-213	11	5	in	in	ADP
fis-213	11	6	sectors	sector	NOUN
fis-213	11	7	such	such	ADJ
fis-213	11	8	as	as	ADP
fis-213	11	9	,	,	PUNCT
fis-213	11	10	for	for	ADP
fis-213	11	11	instance	instance	NOUN
fis-213	11	12	,	,	PUNCT
fis-213	11	13	transportation	transportation	NOUN
fis-213	11	14	and	and	CCONJ
fis-213	11	15	energy	energy	NOUN
fis-213	11	16	production	production	NOUN
fis-213	11	17	would	would	AUX
fis-213	11	18	have	have	AUX
fis-213	11	19	been	be	AUX
fis-213	11	20	impossible	impossible	ADJ
fis-213	11	21	without	without	ADP
fis-213	11	22	the	the	DET
fis-213	11	23	lefm	lefm	PROPN
fis-213	11	24	based	base	VERB
fis-213	11	25	design	design	NOUN
fis-213	11	26	theories	theory	NOUN
fis-213	11	27	.	.	PUNCT
fis-213	12	1	as	as	ADP
fis-213	12	2	to	to	ADP
fis-213	12	3	the	the	DET
fis-213	12	4	accuracy	accuracy	NOUN
fis-213	12	5	and	and	CCONJ
fis-213	12	6	reliability	reliability	NOUN
fis-213	12	7	of	of	ADP
fis-213	12	8	lefm	lefm	PROPN
fis-213	12	9	,	,	PUNCT
fis-213	12	10	in	in	ADP
fis-213	12	11	1964	1964	NUM
fis-213	12	12	irwin	irwin	PROPN
fis-213	12	13	affirms	affirm	VERB
fis-213	12	14	[	[	X
fis-213	12	15	1	1	NUM
fis-213	12	16	]	]	PUNCT
fis-213	12	17	:	:	PUNCT
fis-213	12	18	“	"	PUNCT
fis-213	12	19	…	…	PUNCT
fis-213	12	20	linear	linear	ADJ
fis-213	12	21	elastic	elastic	ADJ
fis-213	12	22	fracture	fracture	NOUN
fis-213	12	23	mechanics	mechanic	NOUN
fis-213	12	24	already	already	ADV
fis-213	12	25	provides	provide	VERB
fis-213	12	26	a	a	DET
fis-213	12	27	rather	rather	ADV
fis-213	12	28	complete	complete	ADJ
fis-213	12	29	set	set	NOUN
fis-213	12	30	of	of	ADP
fis-213	12	31	mathematical	mathematical	ADJ
fis-213	12	32	tools	tool	NOUN
fis-213	12	33	.	.	PUNCT
fis-213	13	1	additional	additional	ADJ
fis-213	13	2	experimental	experimental	ADJ
fis-213	13	3	observations	observation	NOUN
fis-213	13	4	rather	rather	ADV
fis-213	13	5	than	than	ADP
fis-213	13	6	additional	additional	ADJ
fis-213	13	7	methods	method	NOUN
fis-213	13	8	of	of	ADP
fis-213	13	9	analysis	analysis	NOUN
fis-213	13	10	are	be	AUX
fis-213	13	11	now	now	ADV
fis-213	13	12	the	the	DET
fis-213	13	13	primary	primary	ADJ
fis-213	13	14	need	need	NOUN
fis-213	13	15	for	for	ADP
fis-213	13	16	practical	practical	ADJ
fis-213	13	17	applications	application	NOUN
fis-213	13	18	”	"	PUNCT
fis-213	13	19	.	.	PUNCT
fis-213	14	1	examination	examination	NOUN
fis-213	14	2	of	of	ADP
fis-213	14	3	the	the	DET
fis-213	14	4	state	state	NOUN
fis-213	14	5	of	of	ADP
fis-213	14	6	the	the	DET
fis-213	14	7	art	art	NOUN
fis-213	14	8	suggests	suggest	VERB
fis-213	14	9	that	that	SCONJ
fis-213	14	10	,	,	PUNCT
fis-213	14	11	as	as	ADV
fis-213	14	12	far	far	ADV
fis-213	14	13	as	as	SCONJ
fis-213	14	14	brittle	brittle	ADJ
fis-213	14	15	failures	failure	NOUN
fis-213	14	16	are	be	AUX
fis-213	14	17	concerned	concern	VERB
fis-213	14	18	,	,	PUNCT
fis-213	14	19	the	the	DET
fis-213	14	20	international	international	ADJ
fis-213	14	21	scientific	scientific	ADJ
fis-213	14	22	community	community	NOUN
fis-213	14	23	has	have	AUX
fis-213	14	24	taken	take	VERB
fis-213	14	25	the	the	DET
fis-213	14	26	above	above	ADJ
fis-213	14	27	statement	statement	NOUN
fis-213	14	28	literally	literally	ADV
fis-213	14	29	:	:	PUNCT
fis-213	14	30	over	over	ADP
fis-213	14	31	the	the	DET
fis-213	14	32	last	last	ADJ
fis-213	14	33	five	five	NUM
fis-213	14	34	decades	decade	NOUN
fis-213	14	35	a	a	DET
fis-213	14	36	big	big	ADJ
fis-213	14	37	effort	effort	NOUN
fis-213	14	38	has	have	AUX
fis-213	14	39	been	be	AUX
fis-213	14	40	made	make	VERB
fis-213	14	41	mainly	mainly	ADV
fis-213	14	42	to	to	PART
fis-213	14	43	experimentally	experimentally	ADV
fis-213	14	44	extend	extend	VERB
fis-213	14	45	the	the	DET
fis-213	14	46	use	use	NOUN
fis-213	14	47	of	of	ADP
fis-213	14	48	the	the	DET
fis-213	14	49	lefm	lefm	PROPN
fis-213	14	50	concepts	concept	NOUN
fis-213	14	51	to	to	ADP
fis-213	14	52	different	different	ADJ
fis-213	14	53	materials	material	NOUN
fis-213	14	54	/	/	SYM
fis-213	14	55	loading	loading	NOUN
fis-213	14	56	conditions	condition	NOUN
fis-213	14	57	,	,	PUNCT
fis-213	14	58	rather	rather	ADV
fis-213	14	59	than	than	SCONJ
fis-213	14	60	to	to	PART
fis-213	14	61	develop	develop	VERB
fis-213	14	62	new	new	ADJ
fis-213	14	63	theoretical	theoretical	ADJ
fis-213	14	64	approaches	approach	NOUN
fis-213	14	65	,	,	PUNCT
fis-213	14	66	lefm	lefm	PROPN
fis-213	14	67	being	be	AUX
fis-213	14	68	treated	treat	VERB
fis-213	14	69	as	as	ADP
fis-213	14	70	a	a	DET
fis-213	14	71	kind	kind	NOUN
fis-213	14	72	of	of	ADP
fis-213	14	73	untouchable	untouchable	ADJ
fis-213	14	74	“	"	PUNCT
fis-213	14	75	religion	religion	NOUN
fis-213	14	76	”	"	PUNCT
fis-213	14	77	.	.	PUNCT
fis-213	15	1	by	by	ADP
fis-213	15	2	challenging	challenge	VERB
fis-213	15	3	irwin	irwin	PROPN
fis-213	15	4	’s	’s	PART
fis-213	15	5	belief	belief	NOUN
fis-213	15	6	,	,	PUNCT
fis-213	15	7	the	the	DET
fis-213	15	8	present	present	ADJ
fis-213	15	9	paper	paper	NOUN
fis-213	15	10	aims	aim	VERB
fis-213	15	11	to	to	PART
fis-213	15	12	show	show	VERB
fis-213	15	13	that	that	SCONJ
fis-213	15	14	gradient	gradient	NOUN
fis-213	15	15	-	-	PUNCT
fis-213	15	16	enriched	enrich	VERB
fis-213	15	17	linear	linear	ADJ
fis-213	15	18	-	-	PUNCT
fis-213	15	19	elastic	elastic	ADJ
fis-213	15	20	crack	crack	NOUN
fis-213	15	21	/	/	SYM
fis-213	15	22	notch	notch	NOUN
fis-213	15	23	tip	tip	NOUN
fis-213	15	24	stresses	stress	NOUN
fis-213	15	25	can	can	AUX
fis-213	15	26	directly	directly	ADV
fis-213	15	27	be	be	AUX
fis-213	15	28	used	use	VERB
fis-213	15	29	to	to	PART
fis-213	15	30	predict	predict	VERB
fis-213	15	31	the	the	DET
fis-213	15	32	detrimental	detrimental	ADJ
fis-213	15	33	effect	effect	NOUN
fis-213	15	34	of	of	ADP
fis-213	15	35	cracks	crack	NOUN
fis-213	15	36	on	on	ADP
fis-213	15	37	the	the	DET
fis-213	15	38	overall	overall	ADJ
fis-213	15	39	static	static	ADJ
fis-213	15	40	strength	strength	NOUN
fis-213	15	41	of	of	ADP
fis-213	15	42	engineering	engineering	NOUN
fis-213	15	43	ceramics	ceramic	NOUN
fis-213	15	44	,	,	PUNCT
fis-213	15	45	the	the	DET
fis-213	15	46	microstructural	microstructural	ADJ
fis-213	15	47	features	feature	NOUN
fis-213	15	48	of	of	ADP
fis-213	15	49	the	the	DET
fis-213	15	50	assessed	assessed	ADJ
fis-213	15	51	material	material	NOUN
fis-213	15	52	being	be	AUX
fis-213	15	53	explicitly	explicitly	ADV
fis-213	15	54	taken	take	VERB
fis-213	15	55	into	into	ADP
fis-213	15	56	account	account	NOUN
fis-213	15	57	through	through	ADP
fis-213	15	58	the	the	DET
fis-213	15	59	critical	critical	ADJ
fis-213	15	60	distance	distance	NOUN
fis-213	15	61	calculated	calculate	VERB
fis-213	15	62	according	accord	VERB
fis-213	15	63	to	to	ADP
fis-213	15	64	the	the	DET
fis-213	15	65	theory	theory	NOUN
fis-213	15	66	of	of	ADP
fis-213	15	67	critical	critical	ADJ
fis-213	15	68	distances	distance	NOUN
fis-213	15	69	(	(	PUNCT
fis-213	15	70	tcd	tcd	PROPN
fis-213	15	71	)	)	PUNCT
fis-213	15	72	.	.	PUNCT
fis-213	16	1	this	this	PRON
fis-213	16	2	has	have	VERB
fis-213	16	3	the	the	DET
fis-213	16	4	potential	potential	NOUN
fis-213	16	5	to	to	PART
fis-213	16	6	represent	represent	VERB
fis-213	16	7	an	an	DET
fis-213	16	8	important	important	ADJ
fis-213	16	9	step	step	NOUN
fis-213	16	10	forward	forward	ADV
fis-213	16	11	in	in	ADP
fis-213	16	12	the	the	DET
fis-213	16	13	way	way	NOUN
fis-213	16	14	cracked	crack	VERB
fis-213	16	15	/	/	SYM
fis-213	16	16	notched	notch	VERB
fis-213	16	17	components	component	NOUN
fis-213	16	18	are	be	AUX
fis-213	16	19	designed	design	VERB
fis-213	16	20	against	against	ADP
fis-213	16	21	static	static	ADJ
fis-213	16	22	loading	loading	NOUN
fis-213	16	23	.	.	PUNCT
fis-213	17	1	c	c	PROPN
fis-213	17	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-213	17	3	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	PROPN
fis-213	17	4	h.	h.	PROPN
fis-213	17	5	askes	ask	VERB
fis-213	17	6	et	et	PROPN
fis-213	17	7	alii	alii	PROPN
fis-213	17	8	,	,	PUNCT
fis-213	17	9	frattura	frattura	PROPN
fis-213	17	10	ed	ed	PROPN
fis-213	17	11	integrità	integrità	PROPN
fis-213	17	12	strutturale	strutturale	PROPN
fis-213	17	13	,	,	PUNCT
fis-213	17	14	25	25	NUM
fis-213	17	15	(	(	PUNCT
fis-213	17	16	2013	2013	NUM
fis-213	17	17	)	)	PUNCT
fis-213	17	18	87	87	NUM
fis-213	17	19	-	-	SYM
fis-213	17	20	93	93	NUM
fis-213	17	21	;	;	PUNCT
fis-213	17	22	doi	doi	NOUN
fis-213	17	23	:	:	PUNCT
fis-213	17	24	10.3221	10.3221	NUM
fis-213	17	25	/	/	SYM
fis-213	17	26	igf	igf	PROPN
fis-213	17	27	-	-	PROPN
fis-213	17	28	esis.25.13	esis.25.13	PROPN
fis-213	17	29	88	88	NUM
fis-213	17	30	fundamentals	fundamental	NOUN
fis-213	17	31	of	of	ADP
fis-213	17	32	gradient	gradient	ADJ
fis-213	17	33	elasticity	elasticity	NOUN
fis-213	17	34	ack	ack	VERB
fis-213	17	35	in	in	ADP
fis-213	17	36	1964	1964	NUM
fis-213	17	37	,	,	PUNCT
fis-213	17	38	mindlin	mindlin	PROPN
fis-213	17	39	published	publish	VERB
fis-213	17	40	the	the	DET
fis-213	17	41	first	first	ADJ
fis-213	17	42	paper	paper	NOUN
fis-213	18	1	[	[	X
fis-213	18	2	2	2	X
fis-213	18	3	]	]	PUNCT
fis-213	18	4	addressing	address	VERB
fis-213	18	5	in	in	ADP
fis-213	18	6	a	a	DET
fis-213	18	7	systematic	systematic	ADJ
fis-213	18	8	way	way	NOUN
fis-213	18	9	gradient	gradient	ADJ
fis-213	18	10	enriched	enrich	VERB
fis-213	18	11	elasticity	elasticity	NOUN
fis-213	18	12	,	,	PUNCT
fis-213	18	13	where	where	SCONJ
fis-213	18	14	a	a	DET
fis-213	18	15	novel	novel	ADJ
fis-213	18	16	continuum	continuum	ADJ
fis-213	18	17	theory	theory	NOUN
fis-213	18	18	containing	contain	VERB
fis-213	18	19	a	a	DET
fis-213	18	20	number	number	NOUN
fis-213	18	21	of	of	ADP
fis-213	18	22	additional	additional	ADJ
fis-213	18	23	constitutive	constitutive	ADJ
fis-213	18	24	parameters	parameter	NOUN
fis-213	18	25	was	be	AUX
fis-213	18	26	proposed	propose	VERB
fis-213	18	27	.	.	PUNCT
fis-213	19	1	amongst	amongst	ADP
fis-213	19	2	the	the	DET
fis-213	19	3	different	different	ADJ
fis-213	19	4	attempts	attempt	NOUN
fis-213	19	5	made	make	VERB
fis-213	19	6	so	so	ADV
fis-213	19	7	far	far	ADV
fis-213	19	8	to	to	PART
fis-213	19	9	simplify	simplify	VERB
fis-213	19	10	the	the	DET
fis-213	19	11	above	above	ADJ
fis-213	19	12	approach	approach	NOUN
fis-213	19	13	by	by	ADP
fis-213	19	14	reducing	reduce	VERB
fis-213	19	15	the	the	DET
fis-213	19	16	number	number	NOUN
fis-213	19	17	of	of	ADP
fis-213	19	18	material	material	NOUN
fis-213	19	19	parameters	parameter	NOUN
fis-213	19	20	,	,	PUNCT
fis-213	19	21	certainly	certainly	ADV
fis-213	19	22	the	the	DET
fis-213	19	23	model	model	NOUN
fis-213	19	24	devised	devise	VERB
fis-213	19	25	by	by	ADP
fis-213	19	26	aifantis	aifantis	PROPN
fis-213	19	27	and	and	CCONJ
fis-213	19	28	co	co	NOUN
fis-213	19	29	-	-	NOUN
fis-213	19	30	workers	worker	NOUN
fis-213	19	31	[	[	X
fis-213	19	32	3	3	NUM
fis-213	19	33	-	-	SYM
fis-213	19	34	5	5	NUM
fis-213	19	35	]	]	PUNCT
fis-213	19	36	deserves	deserve	VERB
fis-213	19	37	to	to	PART
fis-213	19	38	be	be	AUX
fis-213	19	39	mentioned	mention	VERB
fis-213	19	40	explicitly	explicitly	ADV
fis-213	19	41	.	.	PUNCT
fis-213	20	1	in	in	ADP
fis-213	20	2	more	more	ADJ
fis-213	20	3	detail	detail	NOUN
fis-213	20	4	,	,	PUNCT
fis-213	20	5	such	such	DET
fis-213	20	6	a	a	DET
fis-213	20	7	model	model	NOUN
fis-213	20	8	postulates	postulate	VERB
fis-213	20	9	that	that	SCONJ
fis-213	20	10	the	the	DET
fis-213	20	11	enriched	enrich	VERB
fis-213	20	12	stress	stress	NOUN
fis-213	20	13	-	-	PUNCT
fis-213	20	14	strain	strain	NOUN
fis-213	20	15	relationship	relationship	NOUN
fis-213	20	16	can	can	AUX
fis-213	20	17	be	be	AUX
fis-213	20	18	extended	extend	VERB
fis-213	20	19	with	with	ADP
fis-213	20	20	the	the	DET
fis-213	20	21	laplacian	laplacian	NOUN
fis-213	20	22	of	of	ADP
fis-213	20	23	the	the	DET
fis-213	20	24	strain	strain	NOUN
fis-213	20	25	as	as	SCONJ
fis-213	20	26	follows	follow	VERB
fis-213	20	27	:	:	PUNCT
fis-213	20	28			NOUN
fis-213	20	29	2	2	ADJ
fis-213	20	30	2c	2c	NUM
fis-213	20	31			PROPN
fis-213	20	32			PROPN
fis-213	20	33			NOUN
fis-213	20	34			SYM
fis-213	20	35	(	(	PUNCT
fis-213	20	36	1	1	NUM
fis-213	20	37	)	)	PUNCT
fis-213	20	38	where	where	SCONJ
fis-213	20	39			PRON
fis-213	20	40	and	and	CCONJ
fis-213	20	41			PROPN
fis-213	20	42	are	be	AUX
fis-213	20	43	the	the	DET
fis-213	20	44	stresses	stress	NOUN
fis-213	20	45	and	and	CCONJ
fis-213	20	46	strains	strain	NOUN
fis-213	20	47	,	,	PUNCT
fis-213	20	48	respectively	respectively	ADV
fis-213	20	49	,	,	PUNCT
fis-213	20	50	c	c	PROPN
fis-213	20	51	is	be	AUX
fis-213	20	52	a	a	DET
fis-213	20	53	fourth	fourth	ADJ
fis-213	20	54	-	-	PUNCT
fis-213	20	55	order	order	NOUN
fis-213	20	56	tensor	tensor	NOUN
fis-213	20	57	containing	contain	VERB
fis-213	20	58	the	the	DET
fis-213	20	59	elastic	elastic	ADJ
fis-213	20	60	moduli	modulus	NOUN
fis-213	20	61	,	,	PUNCT
fis-213	20	62	and	and	CCONJ
fis-213	20	63	l	l	NOUN
fis-213	20	64	is	be	AUX
fis-213	20	65	a	a	DET
fis-213	20	66	length	length	NOUN
fis-213	20	67	scale	scale	NOUN
fis-213	20	68	parameter	parameter	NOUN
fis-213	20	69	that	that	PRON
fis-213	20	70	represents	represent	VERB
fis-213	20	71	the	the	DET
fis-213	20	72	underlying	underlie	VERB
fis-213	20	73	microstructure	microstructure	NOUN
fis-213	20	74	.	.	PUNCT
fis-213	21	1	the	the	DET
fis-213	21	2	most	most	ADV
fis-213	21	3	interesting	interesting	ADJ
fis-213	21	4	feature	feature	NOUN
fis-213	21	5	of	of	ADP
fis-213	21	6	the	the	DET
fis-213	21	7	above	above	ADJ
fis-213	21	8	formulation	formulation	NOUN
fis-213	21	9	of	of	ADP
fis-213	21	10	gradient	gradient	ADJ
fis-213	21	11	elasticity	elasticity	NOUN
fis-213	21	12	is	be	AUX
fis-213	21	13	that	that	SCONJ
fis-213	21	14	it	it	PRON
fis-213	21	15	can	can	AUX
fis-213	21	16	efficiently	efficiently	ADV
fis-213	21	17	be	be	AUX
fis-213	21	18	implemented	implement	VERB
fis-213	21	19	numerically	numerically	ADV
fis-213	21	20	and	and	CCONJ
fis-213	21	21	then	then	ADV
fis-213	21	22	used	use	VERB
fis-213	21	23	,	,	PUNCT
fis-213	21	24	according	accord	VERB
fis-213	21	25	to	to	ADP
fis-213	21	26	the	the	DET
fis-213	21	27	procedure	procedure	NOUN
fis-213	21	28	summarised	summarise	VERB
fis-213	21	29	below	below	ADV
fis-213	21	30	,	,	PUNCT
fis-213	21	31	to	to	PART
fis-213	21	32	address	address	VERB
fis-213	21	33	problems	problem	NOUN
fis-213	21	34	of	of	ADP
fis-213	21	35	practical	practical	ADJ
fis-213	21	36	interest	interest	NOUN
fis-213	22	1	[	[	X
fis-213	22	2	6	6	NUM
fis-213	22	3	-	-	SYM
fis-213	22	4	8	8	NUM
fis-213	22	5	]	]	PUNCT
fis-213	22	6	.	.	PUNCT
fis-213	23	1	in	in	ADP
fis-213	23	2	particular	particular	ADJ
fis-213	23	3	,	,	PUNCT
fis-213	23	4	initially	initially	ADV
fis-213	23	5	the	the	DET
fis-213	23	6	following	follow	VERB
fis-213	23	7	standard	standard	ADJ
fis-213	23	8	equation	equation	NOUN
fis-213	23	9	has	have	VERB
fis-213	23	10	to	to	PART
fis-213	23	11	be	be	AUX
fis-213	23	12	solved	solve	VERB
fis-213	23	13	:	:	PUNCT
fis-213	23	14	ku	ku	PROPN
fis-213	23	15	f	f	PROPN
fis-213	23	16	(	(	PUNCT
fis-213	23	17	2	2	NUM
fis-213	23	18	)	)	PUNCT
fis-213	23	19	where	where	SCONJ
fis-213	23	20	k	k	PROPN
fis-213	23	21	is	be	AUX
fis-213	23	22	the	the	DET
fis-213	23	23	conventional	conventional	ADJ
fis-213	23	24	linear	linear	ADJ
fis-213	23	25	elastic	elastic	ADJ
fis-213	23	26	stiffness	stiffness	NOUN
fis-213	23	27	matrix	matrix	NOUN
fis-213	23	28	,	,	PUNCT
fis-213	23	29	u	u	NOUN
fis-213	23	30	is	be	AUX
fis-213	23	31	the	the	DET
fis-213	23	32	vector	vector	NOUN
fis-213	23	33	containing	contain	VERB
fis-213	23	34	the	the	DET
fis-213	23	35	nodal	nodal	NOUN
fis-213	23	36	displacements	displacement	NOUN
fis-213	23	37	,	,	PUNCT
fis-213	23	38	and	and	CCONJ
fis-213	23	39	,	,	PUNCT
fis-213	23	40	finally	finally	ADV
fis-213	23	41	,	,	PUNCT
fis-213	23	42	f	f	PROPN
fis-213	23	43	is	be	AUX
fis-213	23	44	the	the	DET
fis-213	23	45	vector	vector	NOUN
fis-213	23	46	summarising	summarise	VERB
fis-213	23	47	the	the	DET
fis-213	23	48	externally	externally	ADV
fis-213	23	49	applied	apply	VERB
fis-213	23	50	nodal	nodal	NOUN
fis-213	23	51	forces	force	NOUN
fis-213	23	52	.	.	PUNCT
fis-213	24	1	once	once	SCONJ
fis-213	24	2	the	the	DET
fis-213	24	3	displacements	displacement	NOUN
fis-213	24	4	are	be	AUX
fis-213	24	5	obtained	obtain	VERB
fis-213	24	6	from	from	ADP
fis-213	24	7	eq	eq	PROPN
fis-213	24	8	.	.	PUNCT
fis-213	25	1	(	(	PUNCT
fis-213	25	2	2	2	NUM
fis-213	25	3	)	)	PUNCT
fis-213	25	4	,	,	PUNCT
fis-213	25	5	they	they	PRON
fis-213	25	6	can	can	AUX
fis-213	25	7	be	be	AUX
fis-213	25	8	used	use	VERB
fis-213	25	9	to	to	PART
fis-213	25	10	determine	determine	VERB
fis-213	25	11	the	the	DET
fis-213	25	12	gradient	gradient	NOUN
fis-213	25	13	-	-	PUNCT
fis-213	25	14	enriched	enrich	VERB
fis-213	25	15	nodal	nodal	NOUN
fis-213	25	16	stresses	stress	NOUN
fis-213	25	17			PROPN
fis-213	25	18	from	from	ADP
fis-213	25	19	t	t	PROPN
fis-213	25	20	t	t	PROPN
fis-213	25	21	2	2	NUM
fis-213	25	22	tn	tn	PROPN
fis-213	25	23	n	n	ADP
fis-213	25	24	n	n	NOUN
fis-213	26	1	sn	sn	NOUN
fis-213	26	2	s	s	PROPN
fis-213	26	3	d	d	PROPN
fis-213	26	4	n	n	PROPN
fis-213	26	5	b	b	PROPN
fis-213	26	6	d	d	X
fis-213	26	7	u	u	NOUN
fis-213	26	8			NOUN
fis-213	26	9			X
fis-213	26	10			NOUN
fis-213	26	11			X
fis-213	26	12			PROPN
fis-213	26	13			NOUN
fis-213	26	14			PROPN
fis-213	26	15			PROPN
fis-213	26	16			X
fis-213	26	17			PROPN
fis-213	27	1			NUM
fis-213	27	2			PUNCT
fis-213	28	1			NOUN
fis-213	28	2			NOUN
fis-213	28	3			NOUN
fis-213	28	4			NUM
fis-213	28	5			SYM
fis-213	28	6	(	(	PUNCT
fis-213	28	7	3	3	X
fis-213	28	8	)	)	PUNCT
fis-213	28	9	in	in	ADP
fis-213	28	10	the	the	DET
fis-213	28	11	above	above	ADJ
fis-213	28	12	relation	relation	NOUN
fis-213	28	13	,	,	PUNCT
fis-213	28	14	n	n	X
fis-213	28	15	is	be	AUX
fis-213	28	16	the	the	DET
fis-213	28	17	matrix	matrix	NOUN
fis-213	28	18	summarising	summarise	VERB
fis-213	28	19	the	the	DET
fis-213	28	20	shape	shape	NOUN
fis-213	28	21	functions	function	NOUN
fis-213	28	22	used	use	VERB
fis-213	28	23	to	to	PART
fis-213	28	24	interpolate	interpolate	VERB
fis-213	28	25	the	the	DET
fis-213	28	26	stresses	stress	NOUN
fis-213	28	27	,	,	PUNCT
fis-213	28	28	b	b	PROPN
fis-213	28	29	is	be	AUX
fis-213	28	30	the	the	DET
fis-213	28	31	matrix	matrix	NOUN
fis-213	28	32	containing	contain	VERB
fis-213	28	33	the	the	DET
fis-213	28	34	derivatives	derivative	NOUN
fis-213	28	35	of	of	ADP
fis-213	28	36	the	the	DET
fis-213	28	37	displacement	displacement	ADJ
fis-213	28	38	shape	shape	NOUN
fis-213	28	39	functions	function	NOUN
fis-213	28	40	,	,	PUNCT
fis-213	28	41	and	and	CCONJ
fis-213	28	42	,	,	PUNCT
fis-213	28	43	finally	finally	ADV
fis-213	28	44	,	,	PUNCT
fis-213	28	45	s	s	VERB
fis-213	28	46	is	be	AUX
fis-213	28	47	the	the	DET
fis-213	28	48	elastic	elastic	ADJ
fis-213	28	49	compliance	compliance	NOUN
fis-213	28	50	matrix	matrix	NOUN
fis-213	28	51	.	.	PUNCT
fis-213	29	1	to	to	PART
fis-213	29	2	conclude	conclude	VERB
fis-213	29	3	,	,	PUNCT
fis-213	29	4	it	it	PRON
fis-213	29	5	is	be	AUX
fis-213	29	6	worth	worth	ADJ
fis-213	29	7	recalling	recall	VERB
fis-213	29	8	here	here	ADV
fis-213	29	9	that	that	SCONJ
fis-213	29	10	the	the	DET
fis-213	29	11	most	most	ADV
fis-213	29	12	important	important	ADJ
fis-213	29	13	implication	implication	NOUN
fis-213	29	14	of	of	ADP
fis-213	29	15	directly	directly	ADV
fis-213	29	16	incorporating	incorporate	VERB
fis-213	29	17	material	material	NOUN
fis-213	29	18	length	length	NOUN
fis-213	29	19	scale	scale	NOUN
fis-213	29	20	l	l	NOUN
fis-213	29	21	into	into	ADP
fis-213	29	22	the	the	DET
fis-213	29	23	stress	stress	NOUN
fis-213	29	24	analysis	analysis	NOUN
fis-213	29	25	is	be	AUX
fis-213	29	26	that	that	SCONJ
fis-213	29	27	,	,	PUNCT
fis-213	29	28	even	even	ADV
fis-213	29	29	in	in	ADP
fis-213	29	30	the	the	DET
fis-213	29	31	presence	presence	NOUN
fis-213	29	32	of	of	ADP
fis-213	29	33	cracks	crack	NOUN
fis-213	29	34	and	and	CCONJ
fis-213	29	35	sharp	sharp	ADJ
fis-213	29	36	notches	notch	NOUN
fis-213	29	37	,	,	PUNCT
fis-213	29	38	the	the	DET
fis-213	29	39	resulting	result	VERB
fis-213	29	40	stress	stress	NOUN
fis-213	29	41	fields	field	NOUN
fis-213	29	42	are	be	AUX
fis-213	29	43	not	not	PART
fis-213	29	44	singular	singular	ADJ
fis-213	29	45	in	in	ADP
fis-213	29	46	spite	spite	NOUN
fis-213	29	47	of	of	ADP
fis-213	29	48	the	the	DET
fis-213	29	49	fact	fact	NOUN
fis-213	29	50	that	that	SCONJ
fis-213	29	51	the	the	DET
fis-213	29	52	material	material	NOUN
fis-213	29	53	being	be	AUX
fis-213	29	54	designed	design	VERB
fis-213	29	55	is	be	AUX
fis-213	29	56	forced	force	VERB
fis-213	29	57	to	to	PART
fis-213	29	58	obey	obey	VERB
fis-213	29	59	a	a	DET
fis-213	29	60	linear	linear	ADJ
fis-213	29	61	-	-	PUNCT
fis-213	29	62	elastic	elastic	ADJ
fis-213	29	63	constitutive	constitutive	ADJ
fis-213	29	64	law	law	NOUN
fis-213	30	1	[	[	X
fis-213	30	2	9	9	NUM
fis-213	30	3	]	]	PUNCT
fis-213	30	4	.	.	PUNCT
fis-213	31	1	theory	theory	NOUN
fis-213	31	2	of	of	ADP
fis-213	31	3	critical	critical	ADJ
fis-213	31	4	distances	distance	NOUN
fis-213	31	5	and	and	CCONJ
fis-213	31	6	static	static	ADJ
fis-213	31	7	assessment	assessment	NOUN
fis-213	31	8	n	n	CCONJ
fis-213	31	9	the	the	DET
fis-213	31	10	presence	presence	NOUN
fis-213	31	11	of	of	ADP
fis-213	31	12	cracks	crack	NOUN
fis-213	31	13	subjected	subject	VERB
fis-213	31	14	to	to	PART
fis-213	31	15	mode	mode	VERB
fis-213	31	16	i	i	PRON
fis-213	31	17	static	static	ADJ
fis-213	31	18	loading	loading	NOUN
fis-213	31	19	,	,	PUNCT
fis-213	31	20	the	the	DET
fis-213	31	21	tcd	tcd	NOUN
fis-213	31	22	postulates	postulate	VERB
fis-213	31	23	that	that	SCONJ
fis-213	31	24	fast	fast	ADJ
fis-213	31	25	fracture	fracture	NOUN
fis-213	31	26	takes	take	VERB
fis-213	31	27	place	place	NOUN
fis-213	31	28	when	when	SCONJ
fis-213	31	29	a	a	DET
fis-213	31	30	critical	critical	ADJ
fis-213	31	31	distance	distance	NOUN
fis-213	31	32	based	base	VERB
fis-213	31	33	effective	effective	ADJ
fis-213	31	34	stress	stress	NOUN
fis-213	31	35	,	,	PUNCT
fis-213	31	36	eff	eff	PROPN
fis-213	31	37	,	,	PUNCT
fis-213	31	38	exceeds	exceed	VERB
fis-213	31	39	the	the	DET
fis-213	31	40	material	material	ADJ
fis-213	31	41	inherent	inherent	ADJ
fis-213	31	42	strength	strength	NOUN
fis-213	31	43	,	,	PUNCT
fis-213	31	44	0	0	X
fis-213	31	45	[	[	X
fis-213	31	46	10	10	NUM
fis-213	31	47	]	]	PUNCT
fis-213	31	48	,	,	PUNCT
fis-213	31	49	i.e.	i.e.	X
fis-213	31	50	:	:	PUNCT
fis-213	31	51	eff	eff	PROPN
fis-213	31	52	0	0	NUM
fis-213	31	53			PROPN
fis-213	31	54			ADJ
fis-213	31	55	non	non	ADJ
fis-213	31	56	-	-	NOUN
fis-213	31	57	propagation	propagation	NOUN
fis-213	31	58	of	of	ADP
fis-213	31	59	the	the	DET
fis-213	31	60	crack	crack	NOUN
fis-213	31	61	(	(	PUNCT
fis-213	31	62	4	4	NUM
fis-213	31	63	)	)	PUNCT
fis-213	31	64	further	far	ADV
fis-213	31	65	,	,	PUNCT
fis-213	31	66	as	as	ADV
fis-213	31	67	far	far	ADV
fis-213	31	68	as	as	SCONJ
fis-213	31	69	the	the	DET
fis-213	31	70	static	static	ADJ
fis-213	31	71	assessment	assessment	NOUN
fis-213	31	72	is	be	AUX
fis-213	31	73	concerned	concern	VERB
fis-213	31	74	,	,	PUNCT
fis-213	31	75	independently	independently	ADV
fis-213	31	76	from	from	ADP
fis-213	31	77	the	the	DET
fis-213	31	78	ductility	ductility	NOUN
fis-213	31	79	level	level	NOUN
fis-213	31	80	of	of	ADP
fis-213	31	81	the	the	DET
fis-213	31	82	material	material	NOUN
fis-213	31	83	being	being	NOUN
fis-213	31	84	design	design	NOUN
fis-213	31	85	,	,	PUNCT
fis-213	31	86	the	the	DET
fis-213	31	87	stress	stress	NOUN
fis-213	31	88	analysis	analysis	NOUN
fis-213	31	89	can	can	AUX
fis-213	31	90	directly	directly	ADV
fis-213	31	91	be	be	AUX
fis-213	31	92	performed	perform	VERB
fis-213	31	93	by	by	ADP
fis-213	31	94	adopting	adopt	VERB
fis-213	31	95	a	a	DET
fis-213	31	96	simple	simple	ADJ
fis-213	31	97	linear	linear	ADJ
fis-213	31	98	-	-	PUNCT
fis-213	31	99	elastic	elastic	ADJ
fis-213	31	100	constitutive	constitutive	ADJ
fis-213	31	101	law	law	NOUN
fis-213	32	1	[	[	X
fis-213	32	2	11	11	NUM
fis-213	32	3	-	-	SYM
fis-213	32	4	13	13	NUM
fis-213	32	5	]	]	PUNCT
fis-213	32	6	,	,	PUNCT
fis-213	32	7	provided	provide	VERB
fis-213	32	8	that	that	SCONJ
fis-213	32	9	the	the	DET
fis-213	32	10	material	material	NOUN
fis-213	32	11	inherent	inherent	ADJ
fis-213	32	12	strength	strength	NOUN
fis-213	32	13	0	0	PRON
fis-213	32	14	is	be	AUX
fis-213	32	15	determined	determine	VERB
fis-213	32	16	consistently	consistently	ADV
fis-213	32	17	[	[	X
fis-213	32	18	10	10	NUM
fis-213	32	19	-	-	SYM
fis-213	32	20	13	13	NUM
fis-213	32	21	]	]	PUNCT
fis-213	32	22	.	.	PUNCT
fis-213	33	1	the	the	DET
fis-213	33	2	appropriate	appropriate	ADJ
fis-213	33	3	way	way	NOUN
fis-213	33	4	of	of	ADP
fis-213	33	5	experimentally	experimentally	ADV
fis-213	33	6	determining	determine	VERB
fis-213	33	7	0	0	PRON
fis-213	33	8	will	will	AUX
fis-213	33	9	be	be	AUX
fis-213	33	10	reviewed	review	VERB
fis-213	33	11	below	below	ADP
fis-213	33	12	briefly	briefly	ADV
fis-213	33	13	.	.	PUNCT
fis-213	34	1	the	the	DET
fis-213	34	2	above	above	ADJ
fis-213	34	3	considerations	consideration	NOUN
fis-213	34	4	should	should	AUX
fis-213	34	5	make	make	VERB
fis-213	34	6	it	it	PRON
fis-213	34	7	evident	evident	ADJ
fis-213	34	8	that	that	SCONJ
fis-213	34	9	designing	design	VERB
fis-213	34	10	cracked	crack	VERB
fis-213	34	11	materials	material	NOUN
fis-213	34	12	against	against	ADP
fis-213	34	13	static	static	ADJ
fis-213	34	14	loading	loading	NOUN
fis-213	34	15	according	accord	VERB
fis-213	34	16	to	to	ADP
fis-213	34	17	the	the	DET
fis-213	34	18	tcd	tcd	NOUN
fis-213	34	19	implies	imply	VERB
fis-213	34	20	performing	perform	VERB
fis-213	34	21	a	a	DET
fis-213	34	22	bi	bi	ADJ
fis-213	34	23	-	-	ADJ
fis-213	34	24	parametrical	parametrical	ADJ
fis-213	34	25	post	post	ADJ
fis-213	34	26	-	-	ADJ
fis-213	34	27	processing	processing	NOUN
fis-213	34	28	of	of	ADP
fis-213	34	29	the	the	DET
fis-213	34	30	linear	linear	ADJ
fis-213	34	31	-	-	PUNCT
fis-213	34	32	elastic	elastic	ADJ
fis-213	34	33	stress	stress	NOUN
fis-213	34	34	fields	field	NOUN
fis-213	34	35	acting	act	VERB
fis-213	34	36	on	on	ADP
fis-213	34	37	the	the	DET
fis-213	34	38	material	material	NOUN
fis-213	34	39	in	in	ADP
fis-213	34	40	the	the	DET
fis-213	34	41	vicinity	vicinity	NOUN
fis-213	34	42	of	of	ADP
fis-213	34	43	the	the	DET
fis-213	34	44	crack	crack	NOUN
fis-213	34	45	tips	tip	NOUN
fis-213	34	46	,	,	PUNCT
fis-213	34	47	the	the	DET
fis-213	34	48	critical	critical	ADJ
fis-213	34	49	distance	distance	NOUN
fis-213	34	50	and	and	CCONJ
fis-213	34	51	the	the	DET
fis-213	34	52	inherent	inherent	ADJ
fis-213	34	53	material	material	NOUN
fis-213	34	54	strength	strength	NOUN
fis-213	34	55	being	be	AUX
fis-213	34	56	the	the	DET
fis-213	34	57	two	two	NUM
fis-213	34	58	adopted	adopt	VERB
fis-213	34	59	design	design	NOUN
fis-213	34	60	parameters	parameter	NOUN
fis-213	34	61	.	.	PUNCT
fis-213	35	1	when	when	SCONJ
fis-213	35	2	specifically	specifically	ADV
fis-213	35	3	dealing	deal	VERB
fis-213	35	4	with	with	ADP
fis-213	35	5	static	static	ADJ
fis-213	35	6	failures	failure	NOUN
fis-213	35	7	,	,	PUNCT
fis-213	35	8	the	the	DET
fis-213	35	9	tcd	tcd	NOUN
fis-213	35	10	’s	’s	PART
fis-213	35	11	critical	critical	ADJ
fis-213	35	12	distance	distance	NOUN
fis-213	35	13	is	be	AUX
fis-213	35	14	recommended	recommend	VERB
fis-213	35	15	to	to	PART
fis-213	35	16	be	be	AUX
fis-213	35	17	determined	determine	VERB
fis-213	35	18	from	from	ADP
fis-213	35	19	:	:	PUNCT
fis-213	35	20	2	2	NUM
fis-213	35	21	ic	ic	NOUN
fis-213	35	22	0	0	NUM
fis-213	35	23	k1	k1	PROPN
fis-213	35	24	l	l	NOUN
fis-213	35	25			NOUN
fis-213	35	26			PROPN
fis-213	35	27			NOUN
fis-213	35	28			NOUN
fis-213	36	1			PROPN
fis-213	37	1			PROPN
fis-213	37	2			PROPN
fis-213	38	1			PROPN
fis-213	38	2			NOUN
fis-213	38	3	(	(	PUNCT
fis-213	38	4	5	5	NUM
fis-213	38	5	)	)	PUNCT
fis-213	38	6	where	where	SCONJ
fis-213	38	7	kic	kic	PROPN
fis-213	38	8	is	be	AUX
fis-213	38	9	the	the	DET
fis-213	38	10	lefm	lefm	PROPN
fis-213	38	11	plane	plane	NOUN
fis-213	38	12	strain	strain	NOUN
fis-213	38	13	fracture	fracture	NOUN
fis-213	38	14	toughness	toughness	NOUN
fis-213	38	15	.	.	PUNCT
fis-213	39	1	the	the	DET
fis-213	39	2	tcd	tcd	PROPN
fis-213	39	3	’s	’s	PART
fis-213	39	4	effective	effective	ADJ
fis-213	39	5	stress	stress	NOUN
fis-213	39	6	,	,	PUNCT
fis-213	39	7	eff	eff	PROPN
fis-213	39	8	,	,	PUNCT
fis-213	39	9	can	can	AUX
fis-213	39	10	then	then	ADV
fis-213	39	11	be	be	AUX
fis-213	39	12	calculated	calculate	VERB
fis-213	39	13	according	accord	VERB
fis-213	39	14	to	to	ADP
fis-213	39	15	either	either	CCONJ
fis-213	39	16	the	the	DET
fis-213	39	17	point	point	NOUN
fis-213	39	18	method	method	NOUN
fis-213	39	19	,	,	PUNCT
fis-213	39	20	the	the	DET
fis-213	39	21	line	line	NOUN
fis-213	39	22	method	method	NOUN
fis-213	39	23	,	,	PUNCT
fis-213	39	24	or	or	CCONJ
fis-213	39	25	the	the	DET
fis-213	39	26	area	area	NOUN
fis-213	39	27	method	method	NOUN
fis-213	39	28	as	as	SCONJ
fis-213	39	29	follows	follow	VERB
fis-213	39	30	[	[	X
fis-213	39	31	1	1	NUM
fis-213	39	32	,	,	PUNCT
fis-213	39	33	14	14	NUM
fis-213	39	34	]	]	SYM
fis-213	39	35	:	:	PUNCT
fis-213	39	36	b	b	X
fis-213	39	37	i	i	PRON
fis-213	39	38	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-213	39	39	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	PROPN
fis-213	39	40	h.	h.	PROPN
fis-213	39	41	askes	ask	VERB
fis-213	39	42	et	et	PROPN
fis-213	39	43	alii	alii	PROPN
fis-213	39	44	,	,	PUNCT
fis-213	39	45	frattura	frattura	PROPN
fis-213	39	46	ed	ed	PROPN
fis-213	39	47	integrità	integrità	PROPN
fis-213	39	48	strutturale	strutturale	PROPN
fis-213	39	49	,	,	PUNCT
fis-213	39	50	25	25	NUM
fis-213	39	51	(	(	PUNCT
fis-213	39	52	2013	2013	NUM
fis-213	39	53	)	)	PUNCT
fis-213	39	54	87	87	NUM
fis-213	39	55	-	-	SYM
fis-213	39	56	93	93	NUM
fis-213	39	57	;	;	PUNCT
fis-213	39	58	doi	doi	NOUN
fis-213	39	59	:	:	PUNCT
fis-213	39	60	10.3221	10.3221	NUM
fis-213	39	61	/	/	SYM
fis-213	39	62	igf	igf	PROPN
fis-213	39	63	-	-	PROPN
fis-213	39	64	esis.25.13	esis.25.13	PROPN
fis-213	39	65	89	89	NUM
fis-213	39	66	eff	eff	PROPN
fis-213	39	67	y	y	PROPN
fis-213	39	68	l	l	PROPN
fis-213	39	69	0	0	NUM
fis-213	39	70	,	,	PUNCT
fis-213	39	71	r	r	NOUN
fis-213	39	72	2	2	NUM
fis-213	39	73			NOUN
fis-213	39	74			PROPN
fis-213	39	75			PROPN
fis-213	39	76			NOUN
fis-213	40	1			PROPN
fis-213	40	2			PUNCT
fis-213	40	3			PROPN
fis-213	41	1			ADJ
fis-213	41	2			PROPN
fis-213	41	3	point	point	NOUN
fis-213	41	4	method	method	NOUN
fis-213	41	5	(	(	PUNCT
fis-213	41	6	pm	pm	NOUN
fis-213	41	7	)	)	PUNCT
fis-213	41	8	(	(	PUNCT
fis-213	41	9	6	6	X
fis-213	41	10	)	)	PUNCT
fis-213	41	11			NOUN
fis-213	41	12			PROPN
fis-213	41	13	2l	2l	VERB
fis-213	41	14	eff	eff	PROPN
fis-213	41	15	y	y	PROPN
fis-213	41	16	0	0	NUM
fis-213	41	17	1	1	NUM
fis-213	41	18	0	0	NUM
fis-213	41	19	,	,	PUNCT
fis-213	41	20	r	r	PROPN
fis-213	41	21	dr	dr	PROPN
fis-213	41	22	2l	2l	PROPN
fis-213	41	23			PROPN
fis-213	41	24			PROPN
fis-213	41	25			NOUN
fis-213	41	26			PROPN
fis-213	41	27	line	line	NOUN
fis-213	41	28	method	method	NOUN
fis-213	41	29	(	(	PUNCT
fis-213	41	30	lm	lm	INTJ
fis-213	41	31	)	)	PUNCT
fis-213	41	32	(	(	PUNCT
fis-213	41	33	7	7	X
fis-213	41	34	)	)	PUNCT
fis-213	41	35			NOUN
fis-213	41	36			PROPN
fis-213	41	37	l2	l2	NOUN
fis-213	41	38	eff	eff	PROPN
fis-213	41	39	y2	y2	PROPN
fis-213	41	40	0	0	NUM
fis-213	41	41	0	0	NUM
fis-213	41	42	4	4	NUM
fis-213	41	43	,	,	PUNCT
fis-213	41	44	r	r	NOUN
fis-213	41	45	drd	drd	PROPN
fis-213	41	46	l	l	PROPN
fis-213	41	47			PROPN
fis-213	41	48			X
fis-213	41	49			X
fis-213	41	50			X
fis-213	41	51			SYM
fis-213	41	52			PROPN
fis-213	42	1			NUM
fis-213	42	2			NOUN
fis-213	42	3			PUNCT
fis-213	42	4	area	area	NOUN
fis-213	42	5	method	method	NOUN
fis-213	42	6	(	(	PUNCT
fis-213	42	7	am	be	AUX
fis-213	42	8	)	)	PUNCT
fis-213	42	9	(	(	PUNCT
fis-213	42	10	8)	8)	NUM
fis-213	42	11	the	the	DET
fis-213	42	12	adopted	adopt	VERB
fis-213	42	13	symbols	symbol	NOUN
fis-213	42	14	as	as	ADV
fis-213	42	15	well	well	ADV
fis-213	42	16	as	as	ADP
fis-213	42	17	the	the	DET
fis-213	42	18	meaning	meaning	NOUN
fis-213	42	19	of	of	ADP
fis-213	42	20	the	the	DET
fis-213	42	21	effective	effective	ADJ
fis-213	42	22	stress	stress	NOUN
fis-213	42	23	determined	determine	VERB
fis-213	42	24	according	accord	VERB
fis-213	42	25	to	to	ADP
fis-213	42	26	definitions	definition	NOUN
fis-213	42	27	(	(	PUNCT
fis-213	42	28	6	6	NUM
fis-213	42	29	)	)	PUNCT
fis-213	42	30	,	,	PUNCT
fis-213	42	31	(	(	PUNCT
fis-213	42	32	7	7	NUM
fis-213	42	33	)	)	PUNCT
fis-213	42	34	,	,	PUNCT
fis-213	42	35	and	and	CCONJ
fis-213	42	36	(	(	PUNCT
fis-213	42	37	8)	8)	NUM
fis-213	42	38	are	be	AUX
fis-213	42	39	explained	explain	VERB
fis-213	42	40	in	in	ADP
fis-213	42	41	fig	fig	NOUN
fis-213	42	42	.	.	PUNCT
fis-213	43	1	1	1	X
fis-213	43	2	.	.	X
fis-213	43	3	(	(	PUNCT
fis-213	43	4	a	a	X
fis-213	43	5	)	)	PUNCT
fis-213	43	6	(	(	PUNCT
fis-213	43	7	b	b	X
fis-213	43	8	)	)	PUNCT
fis-213	43	9	(	(	PUNCT
fis-213	43	10	c	c	X
fis-213	43	11	)	)	PUNCT
fis-213	43	12	(	(	PUNCT
fis-213	43	13	d	d	X
fis-213	43	14	)	)	PUNCT
fis-213	43	15	figure	figure	NOUN
fis-213	43	16	1	1	NUM
fis-213	43	17	:	:	PUNCT
fis-213	43	18	definition	definition	NOUN
fis-213	43	19	of	of	ADP
fis-213	43	20	the	the	DET
fis-213	43	21	local	local	ADJ
fis-213	43	22	systems	system	NOUN
fis-213	43	23	of	of	ADP
fis-213	43	24	coordinates	coordinate	NOUN
fis-213	43	25	(	(	PUNCT
fis-213	43	26	a	a	NOUN
fis-213	43	27	)	)	PUNCT
fis-213	43	28	and	and	CCONJ
fis-213	43	29	effective	effective	ADJ
fis-213	43	30	stress	stress	NOUN
fis-213	43	31	,	,	PUNCT
fis-213	43	32	eff	eff	PROPN
fis-213	43	33	,	,	PUNCT
fis-213	43	34	calculated	calculate	VERB
fis-213	43	35	according	accord	VERB
fis-213	43	36	to	to	ADP
fis-213	43	37	the	the	DET
fis-213	43	38	point	point	NOUN
fis-213	43	39	method	method	NOUN
fis-213	43	40	(	(	PUNCT
fis-213	43	41	b	b	NOUN
fis-213	43	42	)	)	PUNCT
fis-213	43	43	,	,	PUNCT
fis-213	43	44	line	line	NOUN
fis-213	43	45	method	method	NOUN
fis-213	43	46	(	(	PUNCT
fis-213	43	47	c	c	NOUN
fis-213	43	48	)	)	PUNCT
fis-213	43	49	,	,	PUNCT
fis-213	43	50	and	and	CCONJ
fis-213	43	51	area	area	NOUN
fis-213	43	52	method	method	NOUN
fis-213	43	53	(	(	PUNCT
fis-213	43	54	d	d	NOUN
fis-213	43	55	)	)	PUNCT
fis-213	43	56	.	.	PUNCT
fis-213	44	1	eq	eq	X
fis-213	44	2	.	.	PUNCT
fis-213	45	1	(	(	PUNCT
fis-213	45	2	4	4	NUM
fis-213	45	3	)	)	PUNCT
fis-213	45	4	to	to	AUX
fis-213	45	5	(	(	PUNCT
fis-213	45	6	8)	8)	NUM
fis-213	45	7	clearly	clearly	ADV
fis-213	45	8	show	show	VERB
fis-213	45	9	that	that	SCONJ
fis-213	45	10	inherent	inherent	ADJ
fis-213	45	11	material	material	NOUN
fis-213	45	12	strength	strength	NOUN
fis-213	45	13	0	0	PRON
fis-213	45	14	plays	play	VERB
fis-213	45	15	a	a	DET
fis-213	45	16	role	role	NOUN
fis-213	45	17	of	of	ADP
fis-213	45	18	primary	primary	ADJ
fis-213	45	19	importance	importance	NOUN
fis-213	45	20	when	when	SCONJ
fis-213	45	21	the	the	DET
fis-213	45	22	tcd	tcd	NOUN
fis-213	45	23	is	be	AUX
fis-213	45	24	used	use	VERB
fis-213	45	25	to	to	PART
fis-213	45	26	design	design	VERB
fis-213	45	27	cracked	crack	VERB
fis-213	45	28	components	component	NOUN
fis-213	45	29	against	against	ADP
fis-213	45	30	static	static	ADJ
fis-213	45	31	loading	loading	NOUN
fis-213	45	32	.	.	PUNCT
fis-213	46	1	brittle	brittle	ADJ
fis-213	46	2	materials	material	NOUN
fis-213	46	3	are	be	AUX
fis-213	46	4	experimentally	experimentally	ADV
fis-213	46	5	seen	see	VERB
fis-213	46	6	to	to	PART
fis-213	46	7	have	have	VERB
fis-213	46	8	an	an	DET
fis-213	46	9	inherent	inherent	ADJ
fis-213	46	10	material	material	NOUN
fis-213	46	11	strength	strength	NOUN
fis-213	46	12	which	which	PRON
fis-213	46	13	is	be	AUX
fis-213	46	14	always	always	ADV
fis-213	46	15	very	very	ADV
fis-213	46	16	close	close	ADJ
fis-213	46	17	to	to	ADP
fis-213	46	18	the	the	DET
fis-213	46	19	material	material	NOUN
fis-213	46	20	ultimate	ultimate	ADJ
fis-213	46	21	tensile	tensile	NOUN
fis-213	46	22	strength	strength	NOUN
fis-213	46	23	,	,	PUNCT
fis-213	46	24	uts	ut	NOUN
fis-213	46	25	[	[	X
fis-213	46	26	14	14	NUM
fis-213	46	27	-	-	SYM
fis-213	46	28	16	16	NUM
fis-213	46	29	]	]	PUNCT
fis-213	46	30	.	.	PUNCT
fis-213	47	1	on	on	ADP
fis-213	47	2	the	the	DET
fis-213	47	3	contrary	contrary	NOUN
fis-213	47	4	,	,	PUNCT
fis-213	47	5	when	when	SCONJ
fis-213	47	6	the	the	DET
fis-213	47	7	fast	fast	ADJ
fis-213	47	8	fracture	fracture	NOUN
fis-213	47	9	process	process	NOUN
fis-213	47	10	zone	zone	NOUN
fis-213	47	11	is	be	AUX
fis-213	47	12	characterised	characterise	VERB
fis-213	47	13	by	by	ADP
fis-213	47	14	large	large	ADJ
fis-213	47	15	scale	scale	NOUN
fis-213	47	16	plastic	plastic	NOUN
fis-213	47	17	deformations	deformation	NOUN
fis-213	47	18	,	,	PUNCT
fis-213	47	19	in	in	ADP
fis-213	47	20	general	general	ADJ
fis-213	47	21	,	,	PUNCT
fis-213	47	22	0	0	PRON
fis-213	47	23	reaches	reach	VERB
fis-213	47	24	a	a	DET
fis-213	47	25	value	value	NOUN
fis-213	47	26	which	which	PRON
fis-213	47	27	is	be	AUX
fis-213	47	28	somewhat	somewhat	ADV
fis-213	47	29	larger	large	ADJ
fis-213	47	30	than	than	ADP
fis-213	47	31	the	the	DET
fis-213	47	32	plain	plain	ADJ
fis-213	47	33	material	material	NOUN
fis-213	47	34	uts	ut	NOUN
fis-213	47	35	[	[	X
fis-213	47	36	10	10	NUM
fis-213	47	37	,	,	PUNCT
fis-213	47	38	11	11	NUM
fis-213	47	39	,	,	PUNCT
fis-213	47	40	13	13	NUM
fis-213	47	41	]	]	PUNCT
fis-213	47	42	.	.	PUNCT
fis-213	48	1	another	another	DET
fis-213	48	2	important	important	ADJ
fis-213	48	3	aspect	aspect	NOUN
fis-213	48	4	which	which	PRON
fis-213	48	5	is	be	AUX
fis-213	48	6	worth	worth	ADJ
fis-213	48	7	highlighting	highlight	VERB
fis-213	48	8	here	here	ADV
fis-213	48	9	is	be	AUX
fis-213	48	10	that	that	SCONJ
fis-213	48	11	0	0	PRON
fis-213	48	12	adopts	adopt	VERB
fis-213	48	13	a	a	DET
fis-213	48	14	value	value	NOUN
fis-213	48	15	higher	high	ADJ
fis-213	48	16	than	than	ADP
fis-213	48	17	uts	ut	NOUN
fis-213	48	18	also	also	ADV
fis-213	48	19	in	in	ADP
fis-213	48	20	those	those	DET
fis-213	48	21	situations	situation	NOUN
fis-213	48	22	in	in	ADP
fis-213	48	23	which	which	PRON
fis-213	48	24	the	the	DET
fis-213	48	25	breakage	breakage	NOUN
fis-213	48	26	of	of	ADP
fis-213	48	27	the	the	DET
fis-213	48	28	plain	plain	ADJ
fis-213	48	29	parent	parent	NOUN
fis-213	48	30	material	material	NOUN
fis-213	48	31	occurs	occur	VERB
fis-213	48	32	by	by	ADP
fis-213	48	33	different	different	ADJ
fis-213	48	34	mechanisms	mechanism	NOUN
fis-213	48	35	(	(	PUNCT
fis-213	48	36	such	such	ADJ
fis-213	48	37	as	as	ADP
fis-213	48	38	,	,	PUNCT
fis-213	48	39	for	for	ADP
fis-213	48	40	instance	instance	NOUN
fis-213	48	41	,	,	PUNCT
fis-213	48	42	by	by	ADP
fis-213	48	43	the	the	DET
fis-213	48	44	propagation	propagation	NOUN
fis-213	48	45	of	of	ADP
fis-213	48	46	pre	pre	ADJ
fis-213	48	47	-	-	ADJ
fis-213	48	48	existing	existing	ADJ
fis-213	48	49	microstructural	microstructural	ADJ
fis-213	48	50	defects	defect	NOUN
fis-213	48	51	)	)	PUNCT
fis-213	49	1	[	[	X
fis-213	49	2	10	10	NUM
fis-213	49	3	]	]	PUNCT
fis-213	49	4	.	.	PUNCT
fis-213	50	1	the	the	DET
fis-213	50	2	considerations	consideration	NOUN
fis-213	50	3	reported	report	VERB
fis-213	50	4	above	above	ADV
fis-213	50	5	clearly	clearly	ADV
fis-213	50	6	suggest	suggest	VERB
fis-213	50	7	that	that	SCONJ
fis-213	50	8	the	the	DET
fis-213	50	9	only	only	ADJ
fis-213	50	10	way	way	NOUN
fis-213	50	11	to	to	PART
fis-213	50	12	accurately	accurately	ADV
fis-213	50	13	determine	determine	VERB
fis-213	50	14	0	0	PRON
fis-213	50	15	is	be	AUX
fis-213	50	16	by	by	ADP
fis-213	50	17	testing	testing	NOUN
fis-213	50	18	notched	notch	VERB
fis-213	50	19	specimens	specimen	NOUN
fis-213	50	20	containing	contain	VERB
fis-213	50	21	stress	stress	NOUN
fis-213	50	22	risers	riser	NOUN
fis-213	50	23	whose	whose	DET
fis-213	50	24	presence	presence	NOUN
fis-213	50	25	results	result	VERB
fis-213	50	26	in	in	ADP
fis-213	50	27	different	different	ADJ
fis-213	50	28	stress	stress	NOUN
fis-213	50	29	distributions	distribution	NOUN
fis-213	50	30	in	in	ADP
fis-213	50	31	the	the	DET
fis-213	50	32	vicinity	vicinity	NOUN
fis-213	50	33	of	of	ADP
fis-213	50	34	the	the	DET
fis-213	50	35	tested	test	VERB
fis-213	50	36	geometrical	geometrical	ADJ
fis-213	50	37	features	feature	NOUN
fis-213	50	38	[	[	X
fis-213	50	39	10	10	NUM
fis-213	50	40	-	-	SYM
fis-213	50	41	13	13	NUM
fis-213	50	42	]	]	PUNCT
fis-213	50	43	.	.	PUNCT
fis-213	51	1	to	to	PART
fis-213	51	2	conclude	conclude	VERB
fis-213	51	3	,	,	PUNCT
fis-213	51	4	when	when	SCONJ
fis-213	51	5	the	the	DET
fis-213	51	6	tcd	tcd	NOUN
fis-213	51	7	is	be	AUX
fis-213	51	8	used	use	VERB
fis-213	51	9	to	to	PART
fis-213	51	10	specifically	specifically	ADV
fis-213	51	11	design	design	VERB
fis-213	51	12	cracked	crack	VERB
fis-213	51	13	engineering	engineering	NOUN
fis-213	51	14	ceramics	ceramic	NOUN
fis-213	51	15	against	against	ADP
fis-213	51	16	static	static	ADJ
fis-213	51	17	loading	loading	NOUN
fis-213	51	18	,	,	PUNCT
fis-213	51	19	the	the	DET
fis-213	51	20	inherent	inherent	ADJ
fis-213	51	21	material	material	NOUN
fis-213	51	22	strength	strength	NOUN
fis-213	51	23	is	be	AUX
fis-213	51	24	seen	see	VERB
fis-213	51	25	to	to	PART
fis-213	51	26	be	be	AUX
fis-213	51	27	equal	equal	ADJ
fis-213	51	28	to	to	ADP
fis-213	51	29	the	the	DET
fis-213	51	30	material	material	NOUN
fis-213	51	31	ultimate	ultimate	ADJ
fis-213	51	32	tensile	tensile	NOUN
fis-213	51	33	strength	strength	NOUN
fis-213	51	34	[	[	X
fis-213	51	35	15	15	NUM
fis-213	51	36	]	]	PUNCT
fis-213	51	37	.	.	PUNCT
fis-213	52	1	this	this	PRON
fis-213	52	2	greatly	greatly	ADV
fis-213	52	3	simplifies	simplify	VERB
fis-213	52	4	the	the	DET
fis-213	52	5	problem	problem	NOUN
fis-213	52	6	.	.	PUNCT
fis-213	53	1	according	accord	VERB
fis-213	53	2	to	to	ADP
fis-213	53	3	this	this	DET
fis-213	53	4	remark	remark	NOUN
fis-213	53	5	,	,	PUNCT
fis-213	53	6	in	in	ADP
fis-213	53	7	what	what	PRON
fis-213	53	8	fallows	fallow	NOUN
fis-213	53	9	gm	gm	PROPN
fis-213	53	10	will	will	AUX
fis-213	53	11	be	be	AUX
fis-213	53	12	used	use	VERB
fis-213	53	13	to	to	PART
fis-213	53	14	model	model	VERB
fis-213	53	15	the	the	DET
fis-213	53	16	sensitivity	sensitivity	NOUN
fis-213	53	17	of	of	ADP
fis-213	53	18	engineering	engineering	NOUN
fis-213	53	19	ceramics	ceramic	NOUN
fis-213	53	20	loaded	load	VERB
fis-213	53	21	in	in	ADP
fis-213	53	22	mode	mode	NOUN
fis-213	53	23	i	i	PRON
fis-213	53	24	to	to	ADP
fis-213	53	25	both	both	DET
fis-213	53	26	shortand	shortand	NOUN
fis-213	53	27	long	long	ADJ
fis-213	53	28	-	-	PUNCT
fis-213	53	29	cracks	crack	NOUN
fis-213	53	30	by	by	ADP
fis-213	53	31	taking	take	VERB
fis-213	53	32	0	0	PRON
fis-213	53	33	invariably	invariably	ADV
fis-213	53	34	equal	equal	ADJ
fis-213	53	35	to	to	ADP
fis-213	53	36	uts	ut	NOUN
fis-213	53	37	.	.	PUNCT
fis-213	54	1	linking	link	VERB
fis-213	54	2	the	the	DET
fis-213	54	3	length	length	NOUN
fis-213	54	4	scales	scale	NOUN
fis-213	54	5	of	of	ADP
fis-213	54	6	gm	gm	PROPN
fis-213	54	7	and	and	CCONJ
fis-213	54	8	the	the	DET
fis-213	54	9	tcd	tcd	NOUN
fis-213	54	10	y	y	PROPN
fis-213	54	11	using	use	VERB
fis-213	54	12	the	the	DET
fis-213	54	13	area	area	NOUN
fis-213	54	14	method	method	NOUN
fis-213	54	15	argument	argument	NOUN
fis-213	54	16	re	re	VERB
fis-213	54	17	-	-	VERB
fis-213	54	18	interpreted	interpret	VERB
fis-213	54	19	according	accord	VERB
fis-213	54	20	to	to	ADP
fis-213	54	21	non	non	ADJ
fis-213	54	22	-	-	ADJ
fis-213	54	23	local	local	ADJ
fis-213	54	24	mechanics	mechanic	NOUN
fis-213	54	25	,	,	PUNCT
fis-213	54	26	in	in	ADP
fis-213	54	27	two	two	NUM
fis-213	54	28	recent	recent	ADJ
fis-213	54	29	investigations	investigation	NOUN
fis-213	54	30	[	[	X
fis-213	54	31	17	17	NUM
fis-213	54	32	,	,	PUNCT
fis-213	54	33	18	18	NUM
fis-213	54	34	]	]	PUNCT
fis-213	54	35	we	we	PRON
fis-213	54	36	have	have	AUX
fis-213	54	37	proven	prove	VERB
fis-213	54	38	that	that	SCONJ
fis-213	54	39	the	the	DET
fis-213	54	40	length	length	NOUN
fis-213	54	41	scale	scale	NOUN
fis-213	54	42	parameter	parameter	NOUN
fis-213	54	43	,	,	PUNCT
fis-213	54	44	l	l	NOUN
fis-213	54	45	,	,	PUNCT
fis-213	54	46	employed	employ	VERB
fis-213	54	47	by	by	ADP
fis-213	54	48	gm	gm	PROPN
fis-213	54	49	to	to	PART
fis-213	54	50	perform	perform	VERB
fis-213	54	51	the	the	DET
fis-213	54	52	stress	stress	NOUN
fis-213	54	53	analysis	analysis	NOUN
fis-213	54	54	,	,	PUNCT
fis-213	54	55	eq	eq	NOUN
fis-213	54	56	.	.	PUNCT
fis-213	54	57	(	(	PUNCT
fis-213	54	58	1	1	NUM
fis-213	54	59	)	)	PUNCT
fis-213	54	60	,	,	PUNCT
fis-213	54	61	can	can	AUX
fis-213	54	62	directly	directly	ADV
fis-213	54	63	be	be	AUX
fis-213	54	64	related	relate	VERB
fis-213	54	65	to	to	ADP
fis-213	54	66	critical	critical	ADJ
fis-213	54	67	distance	distance	NOUN
fis-213	54	68	l	l	NOUN
fis-213	54	69	,	,	PUNCT
fis-213	54	70	eq	eq	NOUN
fis-213	54	71	.	.	PUNCT
fis-213	55	1	(	(	PUNCT
fis-213	55	2	5	5	NUM
fis-213	55	3	)	)	PUNCT
fis-213	55	4	.	.	PUNCT
fis-213	56	1	since	since	SCONJ
fis-213	56	2	the	the	DET
fis-213	56	3	reasoning	reasoning	NOUN
fis-213	56	4	resulting	result	VERB
fis-213	56	5	in	in	ADP
fis-213	56	6	the	the	DET
fis-213	56	7	l	l	NOUN
fis-213	56	8	vs.	vs.	X
fis-213	56	9	l	l	NOUN
fis-213	56	10	relationship	relationship	NOUN
fis-213	56	11	has	have	VERB
fis-213	56	12	b	b	PROPN
fis-213	56	13	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-213	56	14	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	PROPN
fis-213	56	15	h.	h.	PROPN
fis-213	56	16	askes	ask	VERB
fis-213	56	17	et	et	PROPN
fis-213	56	18	alii	alii	PROPN
fis-213	56	19	,	,	PUNCT
fis-213	56	20	frattura	frattura	PROPN
fis-213	56	21	ed	ed	PROPN
fis-213	56	22	integrità	integrità	PROPN
fis-213	56	23	strutturale	strutturale	PROPN
fis-213	56	24	,	,	PUNCT
fis-213	56	25	25	25	NUM
fis-213	56	26	(	(	PUNCT
fis-213	56	27	2013	2013	NUM
fis-213	56	28	)	)	PUNCT
fis-213	56	29	87	87	NUM
fis-213	56	30	-	-	SYM
fis-213	56	31	93	93	NUM
fis-213	56	32	;	;	PUNCT
fis-213	56	33	doi	doi	NOUN
fis-213	56	34	:	:	PUNCT
fis-213	56	35	10.3221	10.3221	NUM
fis-213	56	36	/	/	SYM
fis-213	56	37	igf	igf	PROPN
fis-213	56	38	-	-	PROPN
fis-213	56	39	esis.25.13	esis.25.13	PROPN
fis-213	56	40	90	90	NUM
fis-213	56	41	already	already	ADV
fis-213	56	42	been	be	AUX
fis-213	56	43	explained	explain	VERB
fis-213	56	44	in	in	ADP
fis-213	56	45	great	great	ADJ
fis-213	56	46	detail	detail	NOUN
fis-213	56	47	elsewhere	elsewhere	ADV
fis-213	56	48	[	[	X
fis-213	56	49	17	17	NUM
fis-213	56	50	,	,	PUNCT
fis-213	56	51	18	18	NUM
fis-213	56	52	]	]	PUNCT
fis-213	56	53	,	,	PUNCT
fis-213	56	54	in	in	ADP
fis-213	56	55	what	what	PRON
fis-213	56	56	follows	follow	VERB
fis-213	56	57	just	just	ADV
fis-213	56	58	its	its	PRON
fis-213	56	59	fundamental	fundamental	ADJ
fis-213	56	60	steps	step	NOUN
fis-213	56	61	are	be	AUX
fis-213	56	62	summarised	summarise	VERB
fis-213	56	63	briefly	briefly	ADV
fis-213	56	64	.	.	PUNCT
fis-213	57	1	in	in	ADP
fis-213	57	2	order	order	NOUN
fis-213	57	3	to	to	PART
fis-213	57	4	coherently	coherently	ADV
fis-213	57	5	link	link	VERB
fis-213	57	6	l	l	NOUN
fis-213	57	7	to	to	ADP
fis-213	57	8	l	l	NOUN
fis-213	57	9	,	,	PUNCT
fis-213	57	10	according	accord	VERB
fis-213	57	11	to	to	ADP
fis-213	57	12	neuber	neuber	PROPN
fis-213	57	13	’s	’s	PART
fis-213	57	14	structural	structural	ADJ
fis-213	57	15	volume	volume	NOUN
fis-213	57	16	concept	concept	NOUN
fis-213	57	17	[	[	X
fis-213	57	18	19	19	NUM
fis-213	57	19	]	]	PUNCT
fis-213	57	20	,	,	PUNCT
fis-213	57	21	the	the	DET
fis-213	57	22	initial	initial	ADJ
fis-213	57	23	hypothesis	hypothesis	NOUN
fis-213	57	24	is	be	AUX
fis-213	57	25	formed	form	VERB
fis-213	57	26	that	that	SCONJ
fis-213	57	27	the	the	DET
fis-213	57	28	process	process	NOUN
fis-213	57	29	zone	zone	NOUN
fis-213	57	30	defining	define	VERB
fis-213	57	31	the	the	DET
fis-213	57	32	overall	overall	ADJ
fis-213	57	33	strength	strength	NOUN
fis-213	57	34	of	of	ADP
fis-213	57	35	the	the	DET
fis-213	57	36	investigated	investigate	VERB
fis-213	57	37	cracked	crack	VERB
fis-213	57	38	material	material	NOUN
fis-213	57	39	is	be	AUX
fis-213	57	40	circular	circular	ADJ
fis-213	57	41	in	in	ADP
fis-213	57	42	bi	bi	ADJ
fis-213	57	43	-	-	ADJ
fis-213	57	44	dimensional	dimensional	ADJ
fis-213	57	45	situations	situation	NOUN
fis-213	57	46	and	and	CCONJ
fis-213	57	47	spherical	spherical	ADJ
fis-213	57	48	in	in	ADP
fis-213	57	49	tri	tri	ADJ
fis-213	57	50	-	-	ADJ
fis-213	57	51	dimensional	dimensional	ADJ
fis-213	57	52	bodies	body	NOUN
fis-213	57	53	,	,	PUNCT
fis-213	57	54	its	its	PRON
fis-213	57	55	radius	radius	NOUN
fis-213	57	56	being	be	AUX
fis-213	57	57	equal	equal	ADJ
fis-213	57	58	to	to	ADP
fis-213	57	59	l	l	NOUN
fis-213	58	1	[	[	X
fis-213	58	2	20	20	NUM
fis-213	58	3	]	]	PUNCT
fis-213	58	4	.	.	PUNCT
fis-213	59	1	given	give	VERB
fis-213	59	2	a	a	DET
fis-213	59	3	generic	generic	ADJ
fis-213	59	4	material	material	NOUN
fis-213	59	5	point	point	NOUN
fis-213	59	6	having	have	VERB
fis-213	59	7	coordinates	coordinate	NOUN
fis-213	59	8	(	(	PUNCT
fis-213	59	9	x	x	X
fis-213	59	10	,	,	PUNCT
fis-213	59	11	y	y	PROPN
fis-213	59	12	)	)	PUNCT
fis-213	59	13	,	,	PUNCT
fis-213	59	14	nonlocal	nonlocal	ADJ
fis-213	59	15	stresses	stress	VERB
fis-213	59	16	nl	nl	PROPN
fis-213	59	17	at	at	ADP
fis-213	59	18	this	this	DET
fis-213	59	19	point	point	NOUN
fis-213	59	20	can	can	AUX
fis-213	59	21	directly	directly	ADV
fis-213	59	22	be	be	AUX
fis-213	59	23	derived	derive	VERB
fis-213	59	24	from	from	ADP
fis-213	59	25	the	the	DET
fis-213	59	26	local	local	ADJ
fis-213	59	27	stresses	stress	NOUN
fis-213	59	28			PRON
fis-213	59	29	determined	determine	VERB
fis-213	59	30	at	at	ADP
fis-213	59	31	those	those	DET
fis-213	59	32	points	point	NOUN
fis-213	59	33	having	have	VERB
fis-213	59	34	coordinates	coordinate	NOUN
fis-213	59	35	(	(	PUNCT
fis-213	59	36	x+x	x+x	PROPN
fis-213	59	37	,	,	PUNCT
fis-213	59	38	y+y	y+y	NUM
fis-213	59	39	)	)	PUNCT
fis-213	59	40	that	that	PRON
fis-213	59	41	are	be	AUX
fis-213	59	42	in	in	ADP
fis-213	59	43	the	the	DET
fis-213	59	44	vicinity	vicinity	NOUN
fis-213	59	45	of	of	ADP
fis-213	59	46	the	the	DET
fis-213	59	47	point	point	NOUN
fis-213	59	48	at	at	ADP
fis-213	59	49	which	which	PRON
fis-213	59	50	the	the	DET
fis-213	59	51	non	non	ADJ
fis-213	59	52	-	-	ADJ
fis-213	59	53	local	local	ADJ
fis-213	59	54	stresses	stress	NOUN
fis-213	59	55	themselves	themselves	PRON
fis-213	59	56	are	be	AUX
fis-213	59	57	evaluated	evaluate	VERB
fis-213	59	58	,	,	PUNCT
fis-213	59	59	i.e.	i.e.	X
fis-213	59	60	:	:	PUNCT
fis-213	59	61			NOUN
fis-213	59	62	nl	nl	NOUN
fis-213	60	1	2	2	NUM
fis-213	60	2	2	2	NUM
fis-213	60	3	2	2	NUM
fis-213	60	4	2	2	NUM
fis-213	60	5	1	1	NUM
fis-213	60	6	(	(	PUNCT
fis-213	60	7	x	x	NOUN
fis-213	60	8	,	,	PUNCT
fis-213	60	9	y	y	NOUN
fis-213	60	10	)	)	PUNCT
fis-213	60	11	h	h	NOUN
fis-213	61	1	l	l	NOUN
fis-213	61	2	x	x	PUNCT
fis-213	62	1	y	y	INTJ
fis-213	62	2	(	(	PUNCT
fis-213	62	3	x	x	SYM
fis-213	62	4	x	x	X
fis-213	62	5	,	,	PUNCT
fis-213	62	6	y	y	PROPN
fis-213	62	7	y	y	PROPN
fis-213	62	8	)	)	PUNCT
fis-213	62	9	dy	dy	VERB
fis-213	62	10	dx	dx	PROPN
fis-213	62	11	l	l	NOUN
fis-213	62	12			PROPN
fis-213	62	13			PUNCT
fis-213	62	14			ADJ
fis-213	62	15			NOUN
fis-213	62	16			VERB
fis-213	62	17			NOUN
fis-213	62	18			NUM
fis-213	62	19			NUM
fis-213	62	20			PROPN
fis-213	62	21			PROPN
fis-213	62	22			VERB
fis-213	62	23			NUM
fis-213	62	24			PUNCT
fis-213	62	25	(	(	PUNCT
fis-213	62	26	9	9	NUM
fis-213	62	27	)	)	PUNCT
fis-213	62	28	in	in	ADP
fis-213	62	29	the	the	DET
fis-213	62	30	above	above	ADJ
fis-213	62	31	equation	equation	NOUN
fis-213	62	32	h	h	NOUN
fis-213	62	33	is	be	AUX
fis-213	62	34	the	the	DET
fis-213	62	35	heaviside	heaviside	ADJ
fis-213	62	36	function	function	NOUN
fis-213	62	37	where	where	SCONJ
fis-213	62	38	h(s)=1	h(s)=1	VERB
fis-213	62	39	when	when	SCONJ
fis-213	62	40	s>0	s>0	NOUN
fis-213	62	41	and	and	CCONJ
fis-213	62	42	h(s)=0	h(s)=0	ADV
fis-213	62	43	otherwise	otherwise	ADV
fis-213	62	44	,	,	PUNCT
fis-213	62	45	s	s	AUX
fis-213	62	46	being	be	AUX
fis-213	62	47	a	a	DET
fis-213	62	48	generic	generic	ADJ
fis-213	62	49	variable	variable	NOUN
fis-213	62	50	.	.	PUNCT
fis-213	63	1	observing	observe	VERB
fis-213	63	2	that	that	DET
fis-213	63	3	factor	factor	NOUN
fis-213	63	4	l2	l2	NOUN
fis-213	63	5	is	be	AUX
fis-213	63	6	used	use	VERB
fis-213	63	7	for	for	ADP
fis-213	63	8	normalisation	normalisation	NOUN
fis-213	63	9	reasons	reason	NOUN
fis-213	63	10	,	,	PUNCT
fis-213	63	11	the	the	DET
fis-213	63	12	local	local	ADJ
fis-213	63	13	stresses	stress	NOUN
fis-213	63	14	expanded	expand	VERB
fis-213	63	15	in	in	ADP
fis-213	63	16	a	a	DET
fis-213	63	17	taylor	taylor	PROPN
fis-213	63	18	series	series	NOUN
fis-213	63	19	at	at	ADP
fis-213	63	20	the	the	DET
fis-213	63	21	material	material	NOUN
fis-213	63	22	point	point	NOUN
fis-213	63	23	having	have	VERB
fis-213	63	24	coordinates	coordinate	NOUN
fis-213	63	25	(	(	PUNCT
fis-213	63	26	x	x	X
fis-213	63	27	,	,	PUNCT
fis-213	63	28	y	y	NOUN
fis-213	63	29	)	)	PUNCT
fis-213	63	30	take	take	VERB
fis-213	63	31	on	on	ADP
fis-213	63	32	the	the	DET
fis-213	63	33	following	follow	VERB
fis-213	63	34	value	value	NOUN
fis-213	63	35	:	:	PUNCT
fis-213	63	36			NOUN
fis-213	63	37	nl	nl	NOUN
fis-213	64	1	2	2	NUM
fis-213	64	2	2	2	NUM
fis-213	64	3	2	2	NUM
fis-213	64	4	2	2	NUM
fis-213	64	5	1	1	NUM
fis-213	64	6	h	h	NOUN
fis-213	64	7	l	l	NOUN
fis-213	64	8	x	x	PUNCT
fis-213	64	9	y	y	NOUN
fis-213	64	10	x	x	PUNCT
fis-213	64	11	y	y	PROPN
fis-213	64	12	dy	dy	NOUN
fis-213	64	13	dx	dx	PROPN
fis-213	65	1	l	l	PROPN
fis-213	66	1	x	x	PUNCT
fis-213	67	1	y	y	PROPN
fis-213	67	2			PROPN
fis-213	67	3			X
fis-213	67	4			PUNCT
fis-213	67	5			ADJ
fis-213	67	6			NOUN
fis-213	67	7			VERB
fis-213	67	8			NOUN
fis-213	67	9			NUM
fis-213	67	10			NOUN
fis-213	67	11			NOUN
fis-213	67	12			ADJ
fis-213	67	13			PROPN
fis-213	67	14			PROPN
fis-213	67	15			PROPN
fis-213	67	16			PUNCT
fis-213	67	17			PUNCT
fis-213	67	18			PROPN
fis-213	67	19			PROPN
fis-213	67	20			ADJ
fis-213	67	21			NOUN
fis-213	67	22			PUNCT
fis-213	67	23			PUNCT
fis-213	67	24			NUM
fis-213	67	25	(	(	PUNCT
fis-213	67	26	10	10	NUM
fis-213	67	27	)	)	PUNCT
fis-213	67	28	by	by	ADP
fis-213	67	29	so	so	ADV
fis-213	67	30	doing	do	VERB
fis-213	67	31	,	,	PUNCT
fis-213	67	32	the	the	DET
fis-213	67	33	stresses	stress	NOUN
fis-213	67	34	and	and	CCONJ
fis-213	67	35	their	their	PRON
fis-213	67	36	derivatives	derivative	NOUN
fis-213	67	37	are	be	AUX
fis-213	67	38	evaluated	evaluate	VERB
fis-213	67	39	at	at	ADP
fis-213	67	40	point	point	NOUN
fis-213	67	41	(	(	PUNCT
fis-213	67	42	x	x	NOUN
fis-213	67	43	,	,	PUNCT
fis-213	67	44	y	y	PROPN
fis-213	67	45	)	)	PUNCT
fis-213	67	46	and	and	CCONJ
fis-213	67	47	,	,	PUNCT
fis-213	67	48	therefore	therefore	ADV
fis-213	67	49	,	,	PUNCT
fis-213	67	50	they	they	PRON
fis-213	67	51	can	can	AUX
fis-213	67	52	be	be	AUX
fis-213	67	53	taken	take	VERB
fis-213	67	54	out	out	ADP
fis-213	67	55	of	of	ADP
fis-213	67	56	the	the	DET
fis-213	67	57	integral	integral	NOUN
fis-213	67	58	.	.	PUNCT
fis-213	68	1	if	if	SCONJ
fis-213	68	2	the	the	DET
fis-213	68	3	terms	term	NOUN
fis-213	68	4	in	in	ADP
fis-213	68	5	the	the	DET
fis-213	68	6	integral	integral	NOUN
fis-213	68	7	are	be	AUX
fis-213	68	8	rewritten	rewrite	VERB
fis-213	68	9	according	accord	VERB
fis-213	68	10	to	to	ADP
fis-213	68	11	polar	polar	ADJ
fis-213	68	12	coordinates	coordinate	NOUN
fis-213	68	13			PROPN
fis-213	68	14	and	and	CCONJ
fis-213	68	15	r	r	NOUN
fis-213	68	16	,	,	PUNCT
fis-213	68	17	where	where	SCONJ
fis-213	68	18	x	x	NOUN
fis-213	68	19	=	=	NOUN
fis-213	68	20	r·cos	r·cos	NOUN
fis-213	68	21	and	and	CCONJ
fis-213	68	22	y	y	NOUN
fis-213	68	23	=	=	NOUN
fis-213	68	24	r·sin	r·sin	NOUN
fis-213	68	25	,	,	PUNCT
fis-213	68	26	the	the	DET
fis-213	68	27	right	right	ADJ
fis-213	68	28	-	-	PUNCT
fis-213	68	29	hand	hand	NOUN
fis-213	68	30	side	side	NOUN
fis-213	68	31	of	of	ADP
fis-213	68	32	eq	eq	PROPN
fis-213	68	33	.	.	PUNCT
fis-213	69	1	(	(	PUNCT
fis-213	69	2	10	10	NUM
fis-213	69	3	)	)	PUNCT
fis-213	69	4	can	can	AUX
fis-213	69	5	be	be	AUX
fis-213	69	6	elaborated	elaborate	VERB
fis-213	69	7	.	.	PUNCT
fis-213	70	1	for	for	ADP
fis-213	70	2	instance	instance	NOUN
fis-213	70	3	,	,	PUNCT
fis-213	70	4	the	the	DET
fis-213	70	5	second	second	ADJ
fis-213	70	6	derivative	derivative	ADJ
fis-213	70	7	terms	term	NOUN
fis-213	70	8	is	be	AUX
fis-213	70	9	found	find	VERB
fis-213	70	10	to	to	PART
fis-213	70	11	be	be	AUX
fis-213	70	12	:	:	PUNCT
fis-213	70	13			NOUN
fis-213	70	14			SYM
fis-213	70	15	2	2	NUM
fis-213	70	16	l2	l2	NOUN
fis-213	70	17	2	2	NUM
fis-213	70	18	2	2	NUM
fis-213	70	19	2	2	NUM
fis-213	70	20	2	2	NUM
fis-213	70	21	2	2	NUM
fis-213	70	22	2	2	NUM
fis-213	70	23	2	2	NUM
fis-213	70	24	21	21	NUM
fis-213	70	25	1	1	NUM
fis-213	70	26	1	1	NUM
fis-213	70	27	2	2	NUM
fis-213	70	28	2	2	NUM
fis-213	70	29	82	82	NUM
fis-213	71	1	2	2	NUM
fis-213	71	2	2	2	NUM
fis-213	71	3	2	2	NUM
fis-213	71	4	2	2	NUM
fis-213	71	5	0	0	NUM
fis-213	71	6	0	0	NUM
fis-213	71	7	1	1	NUM
fis-213	71	8	1	1	NUM
fis-213	71	9	h	h	NOUN
fis-213	71	10	l	l	NOUN
fis-213	71	11	x	x	PUNCT
fis-213	71	12	y	y	NOUN
fis-213	71	13	x	x	PROPN
fis-213	71	14	dy	dy	NOUN
fis-213	71	15	dx	dx	PROPN
fis-213	71	16	r	r	PROPN
fis-213	71	17	cos	cos	PROPN
fis-213	72	1	r	r	PROPN
fis-213	72	2	dr	dr	PROPN
fis-213	72	3	d	d	PROPN
fis-213	72	4	l	l	NOUN
fis-213	72	5	l	l	NOUN
fis-213	72	6	x	x	PUNCT
fis-213	72	7	l	l	NOUN
fis-213	72	8	x	x	PUNCT
fis-213	72	9	x	x	SYM
fis-213	72	10			ADJ
fis-213	72	11			PROPN
fis-213	72	12			PROPN
fis-213	72	13			PROPN
fis-213	73	1			PROPN
fis-213	73	2			ADJ
fis-213	73	3			NOUN
fis-213	73	4			VERB
fis-213	73	5			NOUN
fis-213	73	6			NUM
fis-213	73	7			ADJ
fis-213	73	8			ADJ
fis-213	73	9			ADJ
fis-213	73	10			PROPN
fis-213	73	11			PROPN
fis-213	73	12			NUM
fis-213	73	13			NUM
fis-213	73	14			NUM
fis-213	73	15			ADJ
fis-213	73	16			ADJ
fis-213	73	17			NOUN
fis-213	73	18			NOUN
fis-213	73	19			X
fis-213	73	20			PUNCT
fis-213	73	21	(	(	PUNCT
fis-213	73	22	11	11	NUM
fis-213	73	23	)	)	PUNCT
fis-213	73	24	according	accord	VERB
fis-213	73	25	to	to	ADP
fis-213	73	26	eq	eq	PROPN
fis-213	73	27	.	.	PUNCT
fis-213	74	1	(	(	PUNCT
fis-213	74	2	11	11	NUM
fis-213	74	3	)	)	PUNCT
fis-213	74	4	,	,	PUNCT
fis-213	74	5	it	it	PRON
fis-213	74	6	easy	easy	ADJ
fis-213	74	7	to	to	PART
fis-213	74	8	observe	observe	VERB
fis-213	74	9	that	that	SCONJ
fis-213	74	10	all	all	DET
fis-213	74	11	terms	term	NOUN
fis-213	74	12	with	with	ADP
fis-213	74	13	odd	odd	ADJ
fis-213	74	14	powers	power	NOUN
fis-213	74	15	of	of	ADP
fis-213	74	16	x	x	X
fis-213	74	17	or	or	CCONJ
fis-213	74	18	y	y	PROPN
fis-213	74	19	cancel	cancel	VERB
fis-213	74	20	.	.	PUNCT
fis-213	75	1	after	after	ADP
fis-213	75	2	some	some	DET
fis-213	75	3	straightforward	straightforward	ADJ
fis-213	75	4	algebra	algebra	NOUN
fis-213	75	5	,	,	PUNCT
fis-213	75	6	one	one	NUM
fis-213	75	7	obtains	obtain	VERB
fis-213	75	8	:	:	PUNCT
fis-213	75	9	nl	nl	NOUN
fis-213	75	10	2	2	NUM
fis-213	75	11	21	21	NUM
fis-213	75	12	8	8	NUM
fis-213	75	13	l	l	ADJ
fis-213	75	14			PROPN
fis-213	75	15			NOUN
fis-213	75	16			PUNCT
fis-213	75	17			NOUN
fis-213	75	18			NOUN
fis-213	75	19	(	(	PUNCT
fis-213	75	20	12	12	NUM
fis-213	75	21	)	)	PUNCT
fis-213	75	22	finally	finally	ADV
fis-213	75	23	,	,	PUNCT
fis-213	75	24	by	by	ADP
fis-213	75	25	using	use	VERB
fis-213	75	26	the	the	DET
fis-213	75	27	explicit	explicit	ADJ
fis-213	75	28	-	-	PUNCT
fis-213	75	29	to	to	ADP
fis-213	75	30	-	-	PUNCT
fis-213	75	31	implicit	implicit	ADJ
fis-213	75	32	transition	transition	NOUN
fis-213	75	33	as	as	SCONJ
fis-213	75	34	formalised	formalise	VERB
fis-213	75	35	by	by	ADP
fis-213	75	36	peerlings	peerling	NOUN
fis-213	75	37	et	et	NOUN
fis-213	75	38	al	al	PROPN
fis-213	75	39	.	.	PUNCT
fis-213	76	1	[	[	X
fis-213	76	2	20	20	NUM
fis-213	76	3	]	]	PUNCT
fis-213	76	4	,	,	PUNCT
fis-213	76	5	eq	eq	NOUN
fis-213	76	6	.	.	PUNCT
fis-213	77	1	(	(	PUNCT
fis-213	77	2	12	12	NUM
fis-213	77	3	)	)	PUNCT
fis-213	77	4	can	can	AUX
fis-213	77	5	be	be	AUX
fis-213	77	6	rearranged	rearrange	VERB
fis-213	77	7	as	as	SCONJ
fis-213	77	8	follows	follow	VERB
fis-213	77	9	:	:	PUNCT
fis-213	77	10	nl	nl	NOUN
fis-213	77	11	2	2	NUM
fis-213	77	12	2	2	NUM
fis-213	77	13	nl1	nl1	NOUN
fis-213	77	14	8	8	NUM
fis-213	77	15	l	l	ADJ
fis-213	77	16			PROPN
fis-213	77	17			PROPN
fis-213	77	18			PROPN
fis-213	77	19			PROPN
fis-213	77	20			NOUN
fis-213	77	21	(	(	PUNCT
fis-213	77	22	13	13	NUM
fis-213	77	23	)	)	PUNCT
fis-213	77	24	eq	eq	NOUN
fis-213	77	25	.	.	PUNCT
fis-213	78	1	(	(	PUNCT
fis-213	78	2	9	9	NUM
fis-213	78	3	)	)	PUNCT
fis-213	78	4	,	,	PUNCT
fis-213	78	5	which	which	PRON
fis-213	78	6	is	be	AUX
fis-213	78	7	the	the	DET
fis-213	78	8	starting	starting	NOUN
fis-213	78	9	point	point	NOUN
fis-213	78	10	of	of	ADP
fis-213	78	11	the	the	DET
fis-213	78	12	reasoning	reasoning	NOUN
fis-213	78	13	summarised	summarise	VERB
fis-213	78	14	above	above	ADV
fis-213	78	15	,	,	PUNCT
fis-213	78	16	represents	represent	VERB
fis-213	78	17	a	a	DET
fis-213	78	18	link	link	NOUN
fis-213	78	19	between	between	ADP
fis-213	78	20	the	the	DET
fis-213	78	21	am	am	NOUN
fis-213	78	22	[	[	X
fis-213	78	23	10	10	NUM
fis-213	78	24	]	]	PUNCT
fis-213	78	25	and	and	CCONJ
fis-213	78	26	gradient	gradient	ADJ
fis-213	78	27	elasticity	elasticity	NOUN
fis-213	78	28	as	as	SCONJ
fis-213	78	29	formalised	formalise	VERB
fis-213	78	30	by	by	ADP
fis-213	78	31	aifantis	aifantis	PROPN
fis-213	78	32	and	and	CCONJ
fis-213	78	33	co	co	NOUN
fis-213	78	34	-	-	NOUN
fis-213	78	35	workers	worker	NOUN
fis-213	78	36	[	[	X
fis-213	78	37	3	3	NUM
fis-213	78	38	-	-	SYM
fis-213	78	39	5	5	NUM
fis-213	78	40	]	]	PUNCT
fis-213	78	41	,	,	PUNCT
fis-213	78	42	so	so	SCONJ
fis-213	78	43	that	that	SCONJ
fis-213	78	44	,	,	PUNCT
fis-213	78	45	if	if	SCONJ
fis-213	78	46	the	the	DET
fis-213	78	47	terms	term	NOUN
fis-213	78	48	of	of	ADP
fis-213	78	49	order	order	NOUN
fis-213	78	50	l4	l4	PROPN
fis-213	78	51	and	and	CCONJ
fis-213	78	52	higher	high	ADJ
fis-213	78	53	are	be	AUX
fis-213	78	54	ignored	ignore	VERB
fis-213	78	55	,	,	PUNCT
fis-213	78	56	the	the	DET
fis-213	78	57	the	the	DET
fis-213	78	58	l	l	NOUN
fis-213	78	59	vs.	vs.	X
fis-213	78	60	l	l	NOUN
fis-213	78	61	relationship	relationship	NOUN
fis-213	78	62	can	can	AUX
fis-213	78	63	explicitly	explicitly	ADV
fis-213	78	64	be	be	AUX
fis-213	78	65	written	write	VERB
fis-213	78	66	as	as	ADP
fis-213	78	67	:	:	PUNCT
fis-213	78	68	2	2	NUM
fis-213	78	69	21	21	NUM
fis-213	78	70	l	l	NOUN
fis-213	78	71	8	8	NUM
fis-213	78	72			NOUN
fis-213	78	73			X
fis-213	78	74	l	l	NOUN
fis-213	78	75	2	2	NUM
fis-213	78	76	2	2	PROPN
fis-213	78	77			X
fis-213	78	78	(	(	PUNCT
fis-213	78	79	14	14	NUM
fis-213	78	80	)	)	PUNCT
fis-213	78	81	gradient	gradient	NOUN
fis-213	78	82	enriched	enrich	VERB
fis-213	78	83	tip	tip	NOUN
fis-213	78	84	stresses	stress	NOUN
fis-213	78	85	to	to	PART
fis-213	78	86	estimate	estimate	VERB
fis-213	78	87	static	static	ADJ
fis-213	78	88	strength	strength	NOUN
fis-213	78	89	of	of	ADP
fis-213	78	90	cracked	crack	VERB
fis-213	78	91	ceramics	ceramic	NOUN
fis-213	78	92	n	n	PRON
fis-213	78	93	order	order	NOUN
fis-213	78	94	to	to	PART
fis-213	78	95	check	check	VERB
fis-213	78	96	the	the	DET
fis-213	78	97	accuracy	accuracy	NOUN
fis-213	78	98	of	of	ADP
fis-213	78	99	gradient	gradient	ADJ
fis-213	78	100	enriched	enrich	VERB
fis-213	78	101	tip	tip	NOUN
fis-213	78	102	stresses	stress	NOUN
fis-213	78	103	in	in	ADP
fis-213	78	104	estimating	estimate	VERB
fis-213	78	105	the	the	DET
fis-213	78	106	static	static	ADJ
fis-213	78	107	strength	strength	NOUN
fis-213	78	108	of	of	ADP
fis-213	78	109	cracked	crack	VERB
fis-213	78	110	engineering	engineering	NOUN
fis-213	78	111	ceramics	ceramic	NOUN
fis-213	78	112	under	under	ADP
fis-213	78	113	mode	mode	NOUN
fis-213	78	114	i	i	PRON
fis-213	78	115	static	static	ADJ
fis-213	78	116	loading	load	VERB
fis-213	78	117	a	a	DET
fis-213	78	118	number	number	NOUN
fis-213	78	119	of	of	ADP
fis-213	78	120	experimental	experimental	ADJ
fis-213	78	121	results	result	NOUN
fis-213	78	122	were	be	AUX
fis-213	78	123	selected	select	VERB
fis-213	78	124	from	from	ADP
fis-213	78	125	the	the	DET
fis-213	78	126	technical	technical	ADJ
fis-213	78	127	literature	literature	NOUN
fis-213	78	128	,	,	PUNCT
fis-213	78	129	the	the	DET
fis-213	78	130	mechanical	mechanical	ADJ
fis-213	78	131	properties	property	NOUN
fis-213	78	132	of	of	ADP
fis-213	78	133	the	the	DET
fis-213	78	134	investigated	investigate	VERB
fis-213	78	135	materials	material	NOUN
fis-213	78	136	being	be	AUX
fis-213	78	137	summarised	summarise	VERB
fis-213	78	138	in	in	ADP
fis-213	78	139	tab	tab	NOUN
fis-213	78	140	1	1	NUM
fis-213	78	141	.	.	PUNCT
fis-213	78	142	such	such	ADJ
fis-213	78	143	results	result	NOUN
fis-213	78	144	were	be	AUX
fis-213	78	145	generated	generate	VERB
fis-213	78	146	by	by	ADP
fis-213	78	147	testing	test	VERB
fis-213	78	148	cracked	crack	VERB
fis-213	78	149	samples	sample	NOUN
fis-213	78	150	having	have	VERB
fis-213	78	151	different	different	ADJ
fis-213	78	152	geometries	geometry	NOUN
fis-213	78	153	which	which	PRON
fis-213	78	154	include	include	VERB
fis-213	78	155	:	:	PUNCT
fis-213	78	156	controlled	control	VERB
fis-213	78	157	surface	surface	NOUN
fis-213	78	158	flaws	flaw	NOUN
fis-213	78	159	,	,	PUNCT
fis-213	78	160	surface	surface	NOUN
fis-213	78	161	scratches	scratch	NOUN
fis-213	78	162	,	,	PUNCT
fis-213	78	163	large	large	ADJ
fis-213	78	164	pores	pore	NOUN
fis-213	78	165	,	,	PUNCT
fis-213	78	166	and	and	CCONJ
fis-213	78	167	sharp	sharp	ADJ
fis-213	78	168	notches	notch	NOUN
fis-213	78	169	.	.	PUNCT
fis-213	79	1	the	the	DET
fis-213	79	2	selected	select	VERB
fis-213	79	3	experimental	experimental	ADJ
fis-213	79	4	results	result	NOUN
fis-213	79	5	are	be	AUX
fis-213	79	6	summarised	summarise	VERB
fis-213	79	7	in	in	ADP
fis-213	79	8	the	the	DET
fis-213	79	9	normalised	normalise	VERB
fis-213	79	10	kitagawa	kitagawa	PROPN
fis-213	79	11	-	-	PUNCT
fis-213	79	12	takashi	takashi	PROPN
fis-213	79	13	diagram	diagram	NOUN
fis-213	79	14	plotting	plot	VERB
fis-213	79	15	the	the	DET
fis-213	79	16	ratio	ratio	NOUN
fis-213	79	17	between	between	ADP
fis-213	79	18	the	the	DET
fis-213	79	19	nominal	nominal	ADJ
fis-213	79	20	gross	gross	ADJ
fis-213	79	21	stress	stress	NOUN
fis-213	79	22	resulting	result	VERB
fis-213	79	23	in	in	ADP
fis-213	79	24	static	static	ADJ
fis-213	79	25	breakage	breakage	NOUN
fis-213	79	26	,	,	PUNCT
fis-213	79	27	th	th	PROPN
fis-213	79	28	,	,	PUNCT
fis-213	79	29	and	and	CCONJ
fis-213	79	30	the	the	DET
fis-213	79	31	material	material	NOUN
fis-213	79	32	ultimate	ultimate	ADJ
fis-213	79	33	tensile	tensile	NOUN
fis-213	79	34	strength	strength	NOUN
fis-213	79	35	,	,	PUNCT
fis-213	79	36	uts	ut	NOUN
fis-213	79	37	,	,	PUNCT
fis-213	79	38	against	against	ADP
fis-213	79	39	a	a	DET
fis-213	79	40	normalised	normalise	VERB
fis-213	79	41	equivalent	equivalent	ADJ
fis-213	79	42	length	length	NOUN
fis-213	79	43	calculated	calculate	VERB
fis-213	79	44	as	as	ADP
fis-213	79	45	f2a	f2a	NOUN
fis-213	79	46	/	/	SYM
fis-213	79	47	l	l	NOUN
fis-213	79	48	,	,	PUNCT
fis-213	79	49	where	where	SCONJ
fis-213	79	50	f	f	PROPN
fis-213	79	51	is	be	AUX
fis-213	79	52	the	the	DET
fis-213	79	53	lefm	lefm	PROPN
fis-213	79	54	shape	shape	NOUN
fis-213	79	55	factor	factor	NOUN
fis-213	79	56	and	and	CCONJ
fis-213	79	57	a	a	DET
fis-213	79	58	the	the	DET
fis-213	79	59	crack	crack	NOUN
fis-213	79	60	length	length	NOUN
fis-213	79	61	.	.	PUNCT
fis-213	80	1	the	the	DET
fis-213	80	2	main	main	ADJ
fis-213	80	3	advantage	advantage	NOUN
fis-213	80	4	of	of	ADP
fis-213	80	5	the	the	DET
fis-213	80	6	above	above	ADJ
fis-213	80	7	schematisation	schematisation	NOUN
fis-213	80	8	is	be	AUX
fis-213	80	9	that	that	SCONJ
fis-213	80	10	experimental	experimental	ADJ
fis-213	80	11	results	result	NOUN
fis-213	80	12	generated	generate	VERB
fis-213	80	13	by	by	ADP
fis-213	80	14	testing	test	VERB
fis-213	80	15	samples	sample	NOUN
fis-213	80	16	having	have	VERB
fis-213	80	17	shape	shape	NOUN
fis-213	80	18	factor	factor	NOUN
fis-213	80	19	different	different	ADJ
fis-213	80	20	from	from	ADP
fis-213	80	21	unity	unity	NOUN
fis-213	80	22	can	can	AUX
fis-213	80	23	directly	directly	ADV
fis-213	80	24	be	be	AUX
fis-213	80	25	compared	compare	VERB
fis-213	80	26	to	to	ADP
fis-213	80	27	the	the	DET
fis-213	80	28	case	case	NOUN
fis-213	80	29	of	of	ADP
fis-213	80	30	a	a	DET
fis-213	80	31	central	central	ADJ
fis-213	80	32	crack	crack	NOUN
fis-213	80	33	in	in	ADP
fis-213	80	34	an	an	DET
fis-213	80	35	infinite	infinite	ADJ
fis-213	80	36	plate	plate	NOUN
fis-213	80	37	loaded	load	VERB
fis-213	80	38	in	in	ADP
fis-213	80	39	tension	tension	NOUN
fis-213	80	40	(	(	PUNCT
fis-213	80	41	for	for	ADP
fis-213	80	42	which	which	PRON
fis-213	80	43	f	f	PROPN
fis-213	80	44	is	be	AUX
fis-213	80	45	invariably	invariably	ADV
fis-213	80	46	equal	equal	ADJ
fis-213	80	47	to	to	ADP
fis-213	80	48	1	1	NUM
fis-213	80	49	)	)	PUNCT
fis-213	80	50	.	.	PUNCT
fis-213	81	1	i	i	PRON
fis-213	81	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-213	81	3	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	PROPN
fis-213	81	4	h.	h.	PROPN
fis-213	81	5	askes	ask	VERB
fis-213	81	6	et	et	PROPN
fis-213	81	7	alii	alii	PROPN
fis-213	81	8	,	,	PUNCT
fis-213	81	9	frattura	frattura	PROPN
fis-213	81	10	ed	ed	PROPN
fis-213	81	11	integrità	integrità	PROPN
fis-213	81	12	strutturale	strutturale	PROPN
fis-213	81	13	,	,	PUNCT
fis-213	81	14	25	25	NUM
fis-213	81	15	(	(	PUNCT
fis-213	81	16	2013	2013	NUM
fis-213	81	17	)	)	PUNCT
fis-213	81	18	87	87	NUM
fis-213	81	19	-	-	SYM
fis-213	81	20	93	93	NUM
fis-213	81	21	;	;	PUNCT
fis-213	81	22	doi	doi	NOUN
fis-213	81	23	:	:	PUNCT
fis-213	81	24	10.3221	10.3221	NUM
fis-213	81	25	/	/	SYM
fis-213	81	26	igf	igf	PROPN
fis-213	81	27	-	-	PROPN
fis-213	81	28	esis.25.13	esis.25.13	PROPN
fis-213	81	29	91	91	NUM
fis-213	81	30	material	material	NOUN
fis-213	81	31	ref	ref	NOUN
fis-213	81	32	.	.	PUNCT
fis-213	82	1	uts	ut	NOUN
fis-213	82	2	kic	kic	PROPN
fis-213	83	1	l	l	PROPN
fis-213	84	1	[	[	X
fis-213	84	2	mpa	mpa	X
fis-213	84	3	]	]	X
fis-213	85	1	[	[	X
fis-213	85	2	mpa·m1/2	mpa·m1/2	X
fis-213	85	3	]	]	X
fis-213	85	4	[	[	X
fis-213	85	5	mm	mm	X
fis-213	85	6	]	]	X
fis-213	85	7	sic	sic	ADJ
fis-213	85	8	[	[	X
fis-213	85	9	21	21	NUM
fis-213	85	10	]	]	SYM
fis-213	85	11	620	620	NUM
fis-213	85	12	3.7	3.7	NUM
fis-213	85	13	0.011	0.011	NUM
fis-213	85	14	si3n4	si3n4	PROPN
fis-213	86	1	[	[	X
fis-213	86	2	21	21	NUM
fis-213	86	3	]	]	PUNCT
fis-213	86	4	650	650	NUM
fis-213	86	5	4.5	4.5	NUM
fis-213	86	6	0.015	0.015	NUM
fis-213	86	7	al2o3	al2o3	PROPN
fis-213	87	1	[	[	X
fis-213	87	2	21	21	NUM
fis-213	87	3	]	]	SYM
fis-213	87	4	200	200	NUM
fis-213	87	5	3.1	3.1	NUM
fis-213	87	6	0.076	0.076	NUM
fis-213	87	7	sialon	sialon	NOUN
fis-213	87	8	[	[	X
fis-213	87	9	21	21	NUM
fis-213	87	10	]	]	SYM
fis-213	87	11	920	920	NUM
fis-213	87	12	4.6	4.6	NUM
fis-213	87	13	0.008	0.008	NUM
fis-213	87	14	si3n4	si3n4	PROPN
fis-213	88	1	[	[	X
fis-213	88	2	22	22	NUM
fis-213	88	3	]	]	PUNCT
fis-213	88	4	1160	1160	NUM
fis-213	88	5	7.8	7.8	NUM
fis-213	88	6	0.014	0.014	NUM
fis-213	88	7	al2o3	al2o3	PROPN
fis-213	89	1	[	[	X
fis-213	89	2	22	22	NUM
fis-213	89	3	]	]	SYM
fis-213	89	4	290	290	NUM
fis-213	89	5	4.5	4.5	NUM
fis-213	89	6	0.077	0.077	NUM
fis-213	89	7	si3n4	si3n4	PROPN
fis-213	89	8	[	[	X
fis-213	89	9	23	23	NUM
fis-213	89	10	]	]	SYM
fis-213	89	11	920	920	NUM
fis-213	89	12	5.6	5.6	NUM
fis-213	89	13	0.012	0.012	NUM
fis-213	89	14	si3n4	si3n4	PROPN
fis-213	89	15	[	[	X
fis-213	89	16	24	24	NUM
fis-213	89	17	]	]	SYM
fis-213	89	18	915	915	NUM
fis-213	89	19	5.0	5.0	NUM
fis-213	89	20	0.010	0.010	NUM
fis-213	89	21	si3n4	si3n4	PROPN
fis-213	89	22	[	[	X
fis-213	89	23	25	25	NUM
fis-213	89	24	,	,	PUNCT
fis-213	89	25	26	26	NUM
fis-213	89	26	]	]	SYM
fis-213	89	27	880	880	NUM
fis-213	89	28	5.0	5.0	NUM
fis-213	89	29	0.010	0.010	NUM
fis-213	89	30	si3n4	si3n4	PROPN
fis-213	89	31	[	[	X
fis-213	89	32	27	27	NUM
fis-213	89	33	]	]	SYM
fis-213	89	34	700	700	NUM
fis-213	89	35	5.0	5.0	NUM
fis-213	89	36	0.016	0.016	NUM
fis-213	89	37	si3n4	si3n4	PROPN
fis-213	90	1	[	[	X
fis-213	90	2	28	28	NUM
fis-213	90	3	]	]	SYM
fis-213	90	4	700	700	NUM
fis-213	90	5	5.0	5.0	NUM
fis-213	90	6	0.016	0.016	NUM
fis-213	90	7	si3n4	si3n4	PROPN
fis-213	90	8	[	[	X
fis-213	90	9	29	29	NUM
fis-213	90	10	]	]	SYM
fis-213	90	11	510	510	NUM
fis-213	90	12	5.0	5.0	NUM
fis-213	90	13	0.031	0.031	NUM
fis-213	90	14	si3n4	si3n4	PROPN
fis-213	90	15	[	[	X
fis-213	90	16	26	26	NUM
fis-213	90	17	]	]	SYM
fis-213	90	18	340	340	NUM
fis-213	90	19	5.0	5.0	NUM
fis-213	90	20	0.069	0.069	NUM
fis-213	90	21	al2o3	al2o3	PROPN
fis-213	91	1	[	[	X
fis-213	91	2	25	25	NUM
fis-213	91	3	]	]	SYM
fis-213	91	4	790	790	NUM
fis-213	91	5	3.5	3.5	NUM
fis-213	91	6	0.006	0.006	NUM
fis-213	91	7	al2o3	al2o3	PROPN
fis-213	91	8	[	[	X
fis-213	91	9	25	25	NUM
fis-213	91	10	]	]	SYM
fis-213	91	11	610	610	NUM
fis-213	91	12	3.5	3.5	NUM
fis-213	91	13	0.010	0.010	NUM
fis-213	91	14	al2o3	al2o3	PROPN
fis-213	92	1	[	[	X
fis-213	92	2	30	30	NUM
fis-213	92	3	]	]	SYM
fis-213	92	4	610	610	NUM
fis-213	92	5	3.5	3.5	NUM
fis-213	92	6	0.010	0.010	NUM
fis-213	92	7	al2o3	al2o3	PROPN
fis-213	92	8	[	[	X
fis-213	92	9	30	30	NUM
fis-213	92	10	]	]	SYM
fis-213	92	11	390	390	NUM
fis-213	92	12	3.5	3.5	NUM
fis-213	92	13	0.026	0.026	NUM
fis-213	92	14	al2o3	al2o3	PROPN
fis-213	92	15	[	[	X
fis-213	92	16	31	31	NUM
fis-213	92	17	]	]	SYM
fis-213	92	18	390	390	NUM
fis-213	92	19	3.5	3.5	NUM
fis-213	92	20	0.026	0.026	NUM
fis-213	92	21	al2o3	al2o3	PROPN
fis-213	93	1	[	[	X
fis-213	93	2	28	28	NUM
fis-213	93	3	]	]	SYM
fis-213	93	4	210	210	NUM
fis-213	93	5	3.5	3.5	NUM
fis-213	93	6	0.088	0.088	NUM
fis-213	93	7	table	table	NOUN
fis-213	93	8	1	1	NUM
fis-213	93	9	:	:	PUNCT
fis-213	93	10	mechanical	mechanical	ADJ
fis-213	93	11	properties	property	NOUN
fis-213	93	12	of	of	ADP
fis-213	93	13	the	the	DET
fis-213	93	14	investigated	investigate	VERB
fis-213	93	15	engineering	engineering	NOUN
fis-213	93	16	ceramics	ceramic	NOUN
fis-213	93	17	.	.	PUNCT
fis-213	94	1	the	the	DET
fis-213	94	2	curve	curve	NOUN
fis-213	94	3	plotted	plot	VERB
fis-213	94	4	in	in	ADP
fis-213	94	5	the	the	DET
fis-213	94	6	chart	chart	NOUN
fis-213	94	7	of	of	ADP
fis-213	94	8	fig	fig	NOUN
fis-213	94	9	.	.	PUNCT
fis-213	95	1	2	2	NUM
fis-213	95	2	summarises	summarise	NOUN
fis-213	95	3	the	the	DET
fis-213	95	4	predictions	prediction	NOUN
fis-213	95	5	made	make	VERB
fis-213	95	6	through	through	ADP
fis-213	95	7	the	the	DET
fis-213	95	8	gradient	gradient	NOUN
fis-213	95	9	enriched	enrich	VERB
fis-213	95	10	crack	crack	NOUN
fis-213	95	11	tip	tip	NOUN
fis-213	95	12	stresses	stress	NOUN
fis-213	95	13	calculated	calculate	VERB
fis-213	95	14	according	accord	VERB
fis-213	95	15	to	to	ADP
fis-213	95	16	gm	gm	PROPN
fis-213	95	17	,	,	PUNCT
fis-213	95	18	the	the	DET
fis-213	95	19	l	l	NOUN
fis-213	95	20	vs.	vs.	X
fis-213	95	21	l	l	NOUN
fis-213	95	22	relationship	relationship	NOUN
fis-213	95	23	being	be	AUX
fis-213	95	24	the	the	DET
fis-213	95	25	one	one	NOUN
fis-213	95	26	given	give	VERB
fis-213	95	27	by	by	ADP
fis-213	95	28	eq	eq	PROPN
fis-213	95	29	.	.	PUNCT
fis-213	96	1	(	(	PUNCT
fis-213	96	2	14	14	NUM
fis-213	96	3	)	)	PUNCT
fis-213	96	4	.	.	PUNCT
fis-213	97	1	such	such	ADJ
fis-213	97	2	estimates	estimate	NOUN
fis-213	97	3	were	be	AUX
fis-213	97	4	obtained	obtain	VERB
fis-213	97	5	by	by	ADP
fis-213	97	6	solving	solve	VERB
fis-213	97	7	gm	gm	PROPN
fis-213	97	8	fe	fe	NOUN
fis-213	97	9	models	model	NOUN
fis-213	97	10	simulating	simulate	VERB
fis-213	97	11	a	a	DET
fis-213	97	12	bi	bi	ADJ
fis-213	97	13	-	-	ADJ
fis-213	97	14	dimensional	dimensional	ADJ
fis-213	97	15	rectangular	rectangular	ADJ
fis-213	97	16	plate	plate	NOUN
fis-213	97	17	with	with	ADP
fis-213	97	18	a	a	DET
fis-213	97	19	central	central	ADJ
fis-213	97	20	through	through	ADP
fis-213	97	21	-	-	PUNCT
fis-213	97	22	thickness	thickness	NOUN
fis-213	97	23	crack	crack	NOUN
fis-213	97	24	and	and	CCONJ
fis-213	97	25	subjected	subject	VERB
fis-213	97	26	to	to	ADP
fis-213	97	27	tensile	tensile	VERB
fis-213	97	28	loading	loading	NOUN
fis-213	97	29	.	.	PUNCT
fis-213	98	1	the	the	DET
fis-213	98	2	considered	consider	VERB
fis-213	98	3	gross	gross	ADJ
fis-213	98	4	widths	width	NOUN
fis-213	98	5	ranged	range	VERB
fis-213	98	6	in	in	ADP
fis-213	98	7	the	the	DET
fis-213	98	8	interval	interval	NOUN
fis-213	98	9	0.25mm-64	0.25mm-64	PROPN
fis-213	99	1	mm	mm	INTJ
fis-213	99	2	.	.	PUNCT
fis-213	100	1	the	the	DET
fis-213	100	2	ratio	ratio	NOUN
fis-213	100	3	between	between	ADP
fis-213	100	4	the	the	DET
fis-213	100	5	semi	semi	ADJ
fis-213	100	6	-	-	ADJ
fis-213	100	7	crack	crack	ADJ
fis-213	100	8	length	length	NOUN
fis-213	100	9	,	,	PUNCT
fis-213	100	10	a	a	PRON
fis-213	100	11	,	,	PUNCT
fis-213	100	12	and	and	CCONJ
fis-213	100	13	the	the	DET
fis-213	100	14	gross	gross	ADJ
fis-213	100	15	width	width	NOUN
fis-213	100	16	was	be	AUX
fis-213	100	17	set	set	VERB
fis-213	100	18	constant	constant	ADJ
fis-213	100	19	and	and	CCONJ
fis-213	100	20	equal	equal	ADJ
fis-213	100	21	to	to	ADP
fis-213	100	22	0.05	0.05	NUM
fis-213	100	23	.	.	PUNCT
fis-213	101	1	this	this	PRON
fis-213	101	2	resulted	result	VERB
fis-213	101	3	for	for	ADP
fis-213	101	4	the	the	DET
fis-213	101	5	modelled	model	VERB
fis-213	101	6	cracked	crack	VERB
fis-213	101	7	samples	sample	NOUN
fis-213	101	8	in	in	ADP
fis-213	101	9	a	a	DET
fis-213	101	10	shape	shape	NOUN
fis-213	101	11	factor	factor	NOUN
fis-213	101	12	,	,	PUNCT
fis-213	101	13	f	f	X
fis-213	101	14	,	,	PUNCT
fis-213	101	15	invariably	invariably	ADV
fis-213	101	16	equal	equal	ADJ
fis-213	101	17	to	to	ADP
fis-213	101	18	unity	unity	NOUN
fis-213	101	19	.	.	PUNCT
fis-213	102	1	finally	finally	ADV
fis-213	102	2	,	,	PUNCT
fis-213	102	3	the	the	DET
fis-213	102	4	boundary	boundary	ADJ
fis-213	102	5	conditions	condition	NOUN
fis-213	102	6	of	of	ADP
fis-213	102	7	the	the	DET
fis-213	102	8	gradient	gradient	NOUN
fis-213	102	9	-	-	PUNCT
fis-213	102	10	enrichment	enrichment	NOUN
fis-213	102	11	step	step	NOUN
fis-213	102	12	were	be	AUX
fis-213	102	13	taken	take	VERB
fis-213	102	14	as	as	ADP
fis-213	102	15	zero	zero	NUM
fis-213	102	16	neumann	neumann	PROPN
fis-213	102	17	conditions	condition	NOUN
fis-213	102	18	throughout	throughout	ADP
fis-213	102	19	.	.	PUNCT
fis-213	103	1	0.05	0.05	NUM
fis-213	103	2	0.5	0.5	NUM
fis-213	103	3	0.01	0.01	NUM
fis-213	103	4	0.1	0.1	NUM
fis-213	103	5	1	1	NUM
fis-213	103	6	10	10	NUM
fis-213	103	7	100	100	NUM
fis-213	103	8			PROPN
fis-213	103	9	t	t	NOUN
fis-213	103	10	h	h	NOUN
fis-213	103	11	/	/	PUNCT
fis-213	104	1	u	u	INTJ
fis-213	104	2	t	t	NOUN
fis-213	104	3	s	s	PART
fis-213	104	4	f2·a	f2·a	NOUN
fis-213	104	5	/	/	SYM
fis-213	104	6	l	l	NOUN
fis-213	104	7	sic	sic	ADJ
fis-213	104	8	si3n4	si3n4	PROPN
fis-213	104	9	al2o3	al2o3	PROPN
fis-213	104	10	sialon	sialon	NOUN
fis-213	104	11	inherent	inherent	ADJ
fis-213	104	12	strength	strength	NOUN
fis-213	104	13	lefm	lefm	PROPN
fis-213	104	14	l=2√2	l=2√2	PROPN
fis-213	105	1	l	l	PROPN
fis-213	105	2	gm	gm	PROPN
fis-213	105	3	figure	figure	NOUN
fis-213	105	4	2	2	NUM
fis-213	105	5	:	:	PUNCT
fis-213	105	6	accuracy	accuracy	NOUN
fis-213	105	7	of	of	ADP
fis-213	105	8	gradient	gradient	ADJ
fis-213	105	9	enriched	enrich	VERB
fis-213	105	10	tip	tip	NOUN
fis-213	105	11	stresses	stress	NOUN
fis-213	105	12	in	in	ADP
fis-213	105	13	estimating	estimate	VERB
fis-213	105	14	the	the	DET
fis-213	105	15	transition	transition	NOUN
fis-213	105	16	from	from	ADP
fis-213	105	17	the	the	DET
fis-213	105	18	shortto	shortto	NOUN
fis-213	105	19	the	the	DET
fis-213	105	20	long	long	ADV
fis-213	105	21	-	-	PUNCT
fis-213	105	22	crack	crack	NOUN
fis-213	105	23	regime	regime	NOUN
fis-213	105	24	under	under	ADP
fis-213	105	25	mode	mode	NOUN
fis-213	105	26	i	i	PRON
fis-213	105	27	static	static	ADJ
fis-213	105	28	loading	loading	NOUN
fis-213	105	29	,	,	PUNCT
fis-213	105	30	the	the	DET
fis-213	105	31	mechanical	mechanical	ADJ
fis-213	105	32	properties	property	NOUN
fis-213	105	33	of	of	ADP
fis-213	105	34	the	the	DET
fis-213	105	35	considered	considered	ADJ
fis-213	105	36	engineering	engineering	NOUN
fis-213	105	37	ceramics	ceramic	NOUN
fis-213	105	38	being	be	AUX
fis-213	105	39	summarised	summarise	VERB
fis-213	105	40	in	in	ADP
fis-213	105	41	tab	tab	NOUN
fis-213	105	42	1	1	NUM
fis-213	105	43	.	.	PUNCT
fis-213	106	1	the	the	DET
fis-213	106	2	chart	chart	NOUN
fis-213	106	3	of	of	ADP
fis-213	106	4	fig	fig	NOUN
fis-213	106	5	.	.	PUNCT
fis-213	107	1	2	2	NUM
fis-213	107	2	clearly	clearly	ADV
fis-213	107	3	suggests	suggest	VERB
fis-213	107	4	that	that	SCONJ
fis-213	107	5	,	,	PUNCT
fis-213	107	6	as	as	ADV
fis-213	107	7	far	far	ADV
fis-213	107	8	as	as	SCONJ
fis-213	107	9	engineering	engineering	NOUN
fis-213	107	10	ceramics	ceramic	NOUN
fis-213	107	11	are	be	AUX
fis-213	107	12	concerned	concern	VERB
fis-213	107	13	,	,	PUNCT
fis-213	107	14	gradient	gradient	NOUN
fis-213	107	15	-	-	PUNCT
fis-213	107	16	enriched	enrich	VERB
fis-213	107	17	crack	crack	NOUN
fis-213	107	18	tip	tip	NOUN
fis-213	107	19	stresses	stress	NOUN
fis-213	107	20	are	be	AUX
fis-213	107	21	successful	successful	ADJ
fis-213	107	22	in	in	ADP
fis-213	107	23	modelling	model	VERB
fis-213	107	24	the	the	DET
fis-213	107	25	transition	transition	NOUN
fis-213	107	26	from	from	ADP
fis-213	107	27	the	the	DET
fis-213	107	28	shortto	shortto	NOUN
fis-213	107	29	the	the	DET
fis-213	107	30	long	long	ADV
fis-213	107	31	-	-	PUNCT
fis-213	107	32	crack	crack	NOUN
fis-213	107	33	regime	regime	NOUN
fis-213	107	34	.	.	PUNCT
fis-213	108	1	in	in	ADP
fis-213	108	2	particular	particular	ADJ
fis-213	108	3	,	,	PUNCT
fis-213	108	4	the	the	DET
fis-213	108	5	above	above	ADJ
fis-213	108	6	diagram	diagram	NOUN
fis-213	108	7	makes	make	VERB
fis-213	108	8	it	it	PRON
fis-213	108	9	evident	evident	ADJ
fis-213	108	10	that	that	SCONJ
fis-213	108	11	gm	gm	PROPN
fis-213	108	12	is	be	AUX
fis-213	108	13	capable	capable	ADJ
fis-213	108	14	of	of	ADP
fis-213	108	15	matching	match	VERB
fis-213	108	16	the	the	DET
fis-213	108	17	inherent	inherent	ADJ
fis-213	108	18	material	material	NOUN
fis-213	108	19	strength	strength	NOUN
fis-213	108	20	in	in	ADP
fis-213	108	21	the	the	DET
fis-213	108	22	very	very	ADV
fis-213	108	23	short	short	ADJ
fis-213	108	24	-	-	PUNCT
fis-213	108	25	crack	crack	NOUN
fis-213	108	26	region	region	NOUN
fis-213	108	27	by	by	ADP
fis-213	108	28	correctly	correctly	ADV
fis-213	108	29	modelling	modelling	NOUN
fis-213	108	30	,	,	PUNCT
fis-213	108	31	at	at	ADP
fis-213	108	32	the	the	DET
fis-213	108	33	same	same	ADJ
fis-213	108	34	time	time	NOUN
fis-213	108	35	,	,	PUNCT
fis-213	108	36	the	the	DET
fis-213	108	37	long	long	ADJ
fis-213	108	38	-	-	PUNCT
fis-213	108	39	crack	crack	NOUN
fis-213	108	40	behaviour	behaviour	NOUN
fis-213	108	41	as	as	ADV
fis-213	108	42	well	well	ADV
fis-213	108	43	.	.	PUNCT
fis-213	109	1	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-213	109	2	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	PROPN
fis-213	109	3	h.	h.	PROPN
fis-213	109	4	askes	ask	VERB
fis-213	109	5	et	et	PROPN
fis-213	109	6	alii	alii	PROPN
fis-213	109	7	,	,	PUNCT
fis-213	109	8	frattura	frattura	PROPN
fis-213	109	9	ed	ed	PROPN
fis-213	109	10	integrità	integrità	PROPN
fis-213	109	11	strutturale	strutturale	PROPN
fis-213	109	12	,	,	PUNCT
fis-213	109	13	25	25	NUM
fis-213	109	14	(	(	PUNCT
fis-213	109	15	2013	2013	NUM
fis-213	109	16	)	)	PUNCT
fis-213	109	17	87	87	NUM
fis-213	109	18	-	-	SYM
fis-213	109	19	93	93	NUM
fis-213	109	20	;	;	PUNCT
fis-213	109	21	doi	doi	NOUN
fis-213	109	22	:	:	PUNCT
fis-213	109	23	10.3221	10.3221	NUM
fis-213	109	24	/	/	SYM
fis-213	109	25	igf	igf	PROPN
fis-213	109	26	-	-	PROPN
fis-213	109	27	esis.25.13	esis.25.13	PROPN
fis-213	109	28	92	92	NUM
fis-213	109	29	conclusions	conclusion	NOUN
fis-213	109	30	he	he	PRON
fis-213	109	31	validation	validation	NOUN
fis-213	109	32	exercise	exercise	NOUN
fis-213	109	33	summarised	summarise	VERB
fis-213	109	34	in	in	ADP
fis-213	109	35	the	the	DET
fis-213	109	36	present	present	ADJ
fis-213	109	37	paper	paper	NOUN
fis-213	109	38	strongly	strongly	ADV
fis-213	109	39	supports	support	VERB
fis-213	109	40	the	the	DET
fis-213	109	41	idea	idea	NOUN
fis-213	109	42	that	that	SCONJ
fis-213	109	43	gradient	gradient	NOUN
fis-213	109	44	-	-	PUNCT
fis-213	109	45	enriched	enrich	VERB
fis-213	109	46	crack	crack	NOUN
fis-213	109	47	tip	tip	NOUN
fis-213	109	48	stresses	stress	NOUN
fis-213	109	49	can	can	AUX
fis-213	109	50	successfully	successfully	ADV
fis-213	109	51	be	be	AUX
fis-213	109	52	used	use	VERB
fis-213	109	53	to	to	PART
fis-213	109	54	perform	perform	VERB
fis-213	109	55	the	the	DET
fis-213	109	56	static	static	ADJ
fis-213	109	57	assessment	assessment	NOUN
fis-213	109	58	of	of	ADP
fis-213	109	59	cracked	crack	VERB
fis-213	109	60	components	component	NOUN
fis-213	109	61	.	.	PUNCT
fis-213	110	1	the	the	DET
fis-213	110	2	gm	gm	PROPN
fis-213	110	3	based	base	VERB
fis-213	110	4	design	design	NOUN
fis-213	110	5	methodology	methodology	NOUN
fis-213	110	6	proposed	propose	VERB
fis-213	110	7	and	and	CCONJ
fis-213	110	8	validated	validate	VERB
fis-213	110	9	in	in	ADP
fis-213	110	10	the	the	DET
fis-213	110	11	present	present	ADJ
fis-213	110	12	paper	paper	NOUN
fis-213	110	13	by	by	ADP
fis-213	110	14	post	post	ADJ
fis-213	110	15	-	-	ADJ
fis-213	110	16	processing	process	VERB
fis-213	110	17	a	a	DET
fis-213	110	18	large	large	ADJ
fis-213	110	19	number	number	NOUN
fis-213	110	20	of	of	ADP
fis-213	110	21	experimental	experimental	ADJ
fis-213	110	22	results	result	NOUN
fis-213	110	23	generated	generate	VERB
fis-213	110	24	by	by	ADP
fis-213	110	25	testing	test	VERB
fis-213	110	26	engineering	engineering	NOUN
fis-213	110	27	ceramics	ceramic	NOUN
fis-213	110	28	has	have	VERB
fis-213	110	29	the	the	DET
fis-213	110	30	potential	potential	NOUN
fis-213	110	31	to	to	PART
fis-213	110	32	turn	turn	VERB
fis-213	110	33	into	into	ADP
fis-213	110	34	an	an	DET
fis-213	110	35	important	important	ADJ
fis-213	110	36	step	step	NOUN
fis-213	110	37	forward	forward	ADV
fis-213	110	38	in	in	ADP
fis-213	110	39	developing	develop	VERB
fis-213	110	40	alternative	alternative	ADJ
fis-213	110	41	methods	method	NOUN
fis-213	110	42	to	to	PART
fis-213	110	43	model	model	VERB
fis-213	110	44	the	the	DET
fis-213	110	45	detrimental	detrimental	ADJ
fis-213	110	46	effect	effect	NOUN
fis-213	110	47	of	of	ADP
fis-213	110	48	cracks	crack	NOUN
fis-213	110	49	and	and	CCONJ
fis-213	110	50	defects	defect	NOUN
fis-213	110	51	in	in	ADP
fis-213	110	52	engineering	engineering	NOUN
fis-213	110	53	components	component	NOUN
fis-213	110	54	and	and	CCONJ
fis-213	110	55	structures	structure	NOUN
fis-213	110	56	.	.	PUNCT
fis-213	111	1	in	in	ADP
fis-213	111	2	particular	particular	ADJ
fis-213	111	3	,	,	PUNCT
fis-213	111	4	since	since	SCONJ
fis-213	111	5	,	,	PUNCT
fis-213	111	6	according	accord	VERB
fis-213	111	7	to	to	ADP
fis-213	111	8	gm	gm	PROPN
fis-213	111	9	’s	’s	PART
fis-213	111	10	modus	modus	X
fis-213	111	11	operandi	operandi	NOUN
fis-213	111	12	,	,	PUNCT
fis-213	111	13	gradient	gradient	ADJ
fis-213	111	14	enriched	enrich	VERB
fis-213	111	15	stresses	stress	NOUN
fis-213	111	16	can	can	AUX
fis-213	111	17	directly	directly	ADV
fis-213	111	18	be	be	AUX
fis-213	111	19	calculated	calculate	VERB
fis-213	111	20	at	at	ADP
fis-213	111	21	any	any	DET
fis-213	111	22	material	material	NOUN
fis-213	111	23	points	point	NOUN
fis-213	111	24	(	(	PUNCT
fis-213	111	25	crack	crack	VERB
fis-213	111	26	tips	tip	NOUN
fis-213	111	27	included	include	VERB
fis-213	111	28	)	)	PUNCT
fis-213	111	29	,	,	PUNCT
fis-213	111	30	components	component	NOUN
fis-213	111	31	containing	contain	VERB
fis-213	111	32	both	both	DET
fis-213	111	33	cracks	crack	NOUN
fis-213	111	34	and	and	CCONJ
fis-213	111	35	defects	defect	NOUN
fis-213	111	36	could	could	AUX
fis-213	111	37	directly	directly	ADV
fis-213	111	38	be	be	AUX
fis-213	111	39	designed	design	VERB
fis-213	111	40	against	against	ADP
fis-213	111	41	static	static	ADJ
fis-213	111	42	loading	loading	NOUN
fis-213	111	43	by	by	ADP
fis-213	111	44	following	follow	VERB
fis-213	111	45	the	the	DET
fis-213	111	46	same	same	ADJ
fis-213	111	47	strategy	strategy	NOUN
fis-213	111	48	as	as	ADP
fis-213	111	49	the	the	DET
fis-213	111	50	one	one	NOUN
fis-213	111	51	commonly	commonly	ADV
fis-213	111	52	adopted	adopt	VERB
fis-213	111	53	to	to	PART
fis-213	111	54	perform	perform	VERB
fis-213	111	55	,	,	PUNCT
fis-213	111	56	as	as	SCONJ
fis-213	111	57	suggested	suggest	VERB
fis-213	111	58	by	by	ADP
fis-213	111	59	continuum	continuum	ADJ
fis-213	111	60	mechanics	mechanic	NOUN
fis-213	111	61	,	,	PUNCT
fis-213	111	62	the	the	DET
fis-213	111	63	fatigue	fatigue	NOUN
fis-213	111	64	assessment	assessment	NOUN
fis-213	111	65	of	of	ADP
fis-213	111	66	un	un	ADJ
fis-213	111	67	-	-	ADJ
fis-213	111	68	cracked	cracked	ADJ
fis-213	111	69	bodies	body	NOUN
fis-213	111	70	.	.	PUNCT
fis-213	112	1	references	reference	NOUN
fis-213	112	2	[	[	X
fis-213	112	3	1	1	NUM
fis-213	112	4	]	]	X
fis-213	112	5	irwin	irwin	PROPN
fis-213	112	6	,	,	PUNCT
fis-213	112	7	g.r	g.r	PROPN
fis-213	112	8	.	.	PROPN
fis-213	112	9	,	,	PUNCT
fis-213	112	10	structural	structural	ADJ
fis-213	112	11	aspects	aspect	NOUN
fis-213	112	12	of	of	ADP
fis-213	112	13	brittle	brittle	ADJ
fis-213	112	14	fracture	fracture	NOUN
fis-213	112	15	,	,	PUNCT
fis-213	112	16	applied	apply	VERB
fis-213	112	17	materials	material	NOUN
fis-213	112	18	research	research	NOUN
fis-213	112	19	,	,	PUNCT
fis-213	112	20	3	3	NUM
fis-213	112	21	(	(	PUNCT
fis-213	112	22	1964	1964	NUM
fis-213	112	23	)	)	PUNCT
fis-213	112	24	65	65	NUM
fis-213	112	25	-	-	SYM
fis-213	112	26	81	81	NUM
fis-213	112	27	.	.	PUNCT
fis-213	113	1	[	[	X
fis-213	113	2	2	2	NUM
fis-213	113	3	]	]	X
fis-213	113	4	mindlin	mindlin	NOUN
fis-213	113	5	,	,	PUNCT
fis-213	113	6	r.d	r.d	PROPN
fis-213	113	7	.	.	PROPN
fis-213	113	8	,	,	PUNCT
fis-213	113	9	micro	micro	NOUN
fis-213	113	10	-	-	NOUN
fis-213	113	11	structure	structure	NOUN
fis-213	113	12	in	in	ADP
fis-213	113	13	linear	linear	PROPN
fis-213	113	14	elasticity	elasticity	NOUN
fis-213	113	15	,	,	PUNCT
fis-213	113	16	arch	arch	NOUN
fis-213	113	17	.	.	PUNCT
fis-213	114	1	rat	rat	NOUN
fis-213	114	2	.	.	PROPN
fis-213	114	3	mech	mech	PROPN
fis-213	114	4	.	.	PUNCT
fis-213	115	1	analysis	analysis	NOUN
fis-213	115	2	,	,	PUNCT
fis-213	115	3	16	16	NUM
fis-213	115	4	(	(	PUNCT
fis-213	115	5	1964	1964	NUM
fis-213	115	6	)	)	PUNCT
fis-213	115	7	52–78	52–78	NUM
fis-213	115	8	.	.	PUNCT
fis-213	116	1	[	[	X
fis-213	116	2	3	3	NUM
fis-213	116	3	]	]	X
fis-213	116	4	aifantis	aifantis	PROPN
fis-213	116	5	,	,	PUNCT
fis-213	116	6	e.c	e.c	PROPN
fis-213	116	7	.	.	PROPN
fis-213	116	8	,	,	PUNCT
fis-213	116	9	on	on	ADP
fis-213	116	10	the	the	DET
fis-213	116	11	role	role	NOUN
fis-213	116	12	of	of	ADP
fis-213	116	13	gradients	gradient	NOUN
fis-213	116	14	in	in	ADP
fis-213	116	15	the	the	DET
fis-213	116	16	localization	localization	NOUN
fis-213	116	17	of	of	ADP
fis-213	116	18	deformation	deformation	NOUN
fis-213	116	19	and	and	CCONJ
fis-213	116	20	fracture	fracture	NOUN
fis-213	116	21	,	,	PUNCT
fis-213	116	22	int	int	NOUN
fis-213	116	23	.	.	PUNCT
fis-213	117	1	j.	j.	PROPN
fis-213	117	2	engng	engng	PROPN
fis-213	117	3	.	.	PUNCT
fis-213	118	1	sci	sci	PROPN
fis-213	118	2	.	.	PROPN
fis-213	118	3	,	,	PUNCT
fis-213	118	4	30	30	NUM
fis-213	118	5	(	(	PUNCT
fis-213	118	6	1992	1992	NUM
fis-213	118	7	)	)	PUNCT
fis-213	118	8	1279–1299	1279–1299	NUM
fis-213	118	9	.	.	PUNCT
fis-213	119	1	[	[	X
fis-213	119	2	4	4	X
fis-213	119	3	]	]	PUNCT
fis-213	119	4	altan	altan	PROPN
fis-213	119	5	,	,	PUNCT
fis-213	119	6	s.b	s.b	PROPN
fis-213	119	7	.	.	PROPN
fis-213	119	8	,	,	PUNCT
fis-213	119	9	aifantis	aifantis	PROPN
fis-213	119	10	,	,	PUNCT
fis-213	119	11	e.c	e.c	PROPN
fis-213	119	12	.	.	PROPN
fis-213	119	13	,	,	PUNCT
fis-213	119	14	on	on	ADP
fis-213	119	15	the	the	DET
fis-213	119	16	structure	structure	NOUN
fis-213	119	17	of	of	ADP
fis-213	119	18	the	the	DET
fis-213	119	19	mode	mode	PROPN
fis-213	119	20	iii	iii	NOUN
fis-213	119	21	crack	crack	VERB
fis-213	119	22	-	-	PUNCT
fis-213	119	23	tip	tip	NOUN
fis-213	119	24	in	in	ADP
fis-213	119	25	gradient	gradient	ADJ
fis-213	119	26	elasticity	elasticity	NOUN
fis-213	119	27	,	,	PUNCT
fis-213	119	28	scripta	scripta	PROPN
fis-213	119	29	metall	metall	PROPN
fis-213	119	30	.	.	PUNCT
fis-213	120	1	mater	mater	PROPN
fis-213	120	2	.	.	PROPN
fis-213	121	1	,	,	PUNCT
fis-213	121	2	26	26	NUM
fis-213	121	3	(	(	PUNCT
fis-213	121	4	1992	1992	NUM
fis-213	121	5	)	)	PUNCT
fis-213	121	6	319–324	319–324	NUM
fis-213	121	7	.	.	PUNCT
fis-213	122	1	[	[	X
fis-213	122	2	5	5	NUM
fis-213	122	3	]	]	X
fis-213	122	4	ru	ru	PROPN
fis-213	122	5	,	,	PUNCT
fis-213	122	6	c.q	c.q	PROPN
fis-213	122	7	.	.	PROPN
fis-213	122	8	,	,	PUNCT
fis-213	122	9	aifantis	aifantis	PROPN
fis-213	122	10	,	,	PUNCT
fis-213	122	11	e.c	e.c	PROPN
fis-213	122	12	.	.	PROPN
fis-213	122	13	,	,	PUNCT
fis-213	122	14	a	a	DET
fis-213	122	15	simple	simple	ADJ
fis-213	122	16	approach	approach	NOUN
fis-213	122	17	to	to	PART
fis-213	122	18	solve	solve	VERB
fis-213	122	19	boundary	boundary	ADJ
fis-213	122	20	-	-	PUNCT
fis-213	122	21	value	value	NOUN
fis-213	122	22	problems	problem	NOUN
fis-213	122	23	in	in	ADP
fis-213	122	24	gradient	gradient	ADJ
fis-213	122	25	elasticity	elasticity	NOUN
fis-213	122	26	,	,	PUNCT
fis-213	122	27	acta	acta	PROPN
fis-213	122	28	mech	mech	PROPN
fis-213	122	29	.	.	PUNCT
fis-213	122	30	,	,	PUNCT
fis-213	122	31	101	101	NUM
fis-213	122	32	(	(	PUNCT
fis-213	122	33	1993	1993	NUM
fis-213	122	34	)	)	PUNCT
fis-213	122	35	59–68	59–68	NUM
fis-213	122	36	.	.	PUNCT
fis-213	123	1	[	[	X
fis-213	123	2	6	6	NUM
fis-213	123	3	]	]	PUNCT
fis-213	123	4	askes	ask	VERB
fis-213	123	5	,	,	PUNCT
fis-213	123	6	h.	h.	PROPN
fis-213	123	7	,	,	PUNCT
fis-213	123	8	gutiérrez	gutiérrez	PROPN
fis-213	123	9	,	,	PUNCT
fis-213	123	10	m.a	m.a	PROPN
fis-213	123	11	.	.	PROPN
fis-213	123	12	,	,	PUNCT
fis-213	123	13	implicit	implicit	ADJ
fis-213	123	14	gradient	gradient	NOUN
fis-213	123	15	elasticity	elasticity	NOUN
fis-213	123	16	,	,	PUNCT
fis-213	123	17	int	int	NOUN
fis-213	123	18	.	.	PUNCT
fis-213	124	1	j.	j.	PROPN
fis-213	124	2	numer	numer	PROPN
fis-213	124	3	.	.	PUNCT
fis-213	125	1	meth	meth	PROPN
fis-213	125	2	.	.	PUNCT
fis-213	126	1	engng	engng	PROPN
fis-213	126	2	.	.	PUNCT
fis-213	127	1	,	,	PUNCT
fis-213	127	2	67	67	NUM
fis-213	127	3	(	(	PUNCT
fis-213	127	4	2006	2006	NUM
fis-213	127	5	)	)	PUNCT
fis-213	127	6	400	400	NUM
fis-213	127	7	-	-	SYM
fis-213	127	8	416	416	NUM
fis-213	127	9	.	.	PUNCT
fis-213	128	1	[	[	X
fis-213	128	2	7	7	NUM
fis-213	128	3	]	]	PUNCT
fis-213	128	4	askes	ask	VERB
fis-213	128	5	,	,	PUNCT
fis-213	128	6	h.	h.	PROPN
fis-213	128	7	,	,	PUNCT
fis-213	128	8	morata	morata	PROPN
fis-213	128	9	i.	i.	PROPN
fis-213	128	10	,	,	PUNCT
fis-213	128	11	aifantis	aifantis	PROPN
fis-213	128	12	e.c	e.c	PROPN
fis-213	128	13	.	.	PROPN
fis-213	128	14	,	,	PUNCT
fis-213	128	15	finite	finite	PROPN
fis-213	128	16	element	element	NOUN
fis-213	128	17	analysis	analysis	NOUN
fis-213	128	18	with	with	ADP
fis-213	128	19	staggered	staggered	ADJ
fis-213	128	20	gradient	gradient	ADJ
fis-213	128	21	elasticity	elasticity	NOUN
fis-213	128	22	,	,	PUNCT
fis-213	129	1	comput	comput	NOUN
fis-213	129	2	.	.	PUNCT
fis-213	129	3	struct	struct	NOUN
fis-213	129	4	.	.	PUNCT
fis-213	129	5	,	,	PUNCT
fis-213	129	6	86	86	NUM
fis-213	129	7	(	(	PUNCT
fis-213	129	8	2008	2008	NUM
fis-213	129	9	)	)	PUNCT
fis-213	129	10	1266	1266	NUM
fis-213	129	11	-	-	SYM
fis-213	129	12	1279	1279	NUM
fis-213	129	13	.	.	PUNCT
fis-213	130	1	[	[	X
fis-213	130	2	8	8	NUM
fis-213	130	3	]	]	PUNCT
fis-213	130	4	askes	ask	VERB
fis-213	130	5	,	,	PUNCT
fis-213	130	6	h.	h.	PROPN
fis-213	130	7	,	,	PUNCT
fis-213	130	8	gitman	gitman	PROPN
fis-213	130	9	,	,	PUNCT
fis-213	130	10	i.m	i.m	PROPN
fis-213	130	11	.	.	PROPN
fis-213	130	12	,	,	PUNCT
fis-213	130	13	non	non	ADJ
fis-213	130	14	-	-	ADJ
fis-213	130	15	singular	singular	ADJ
fis-213	130	16	stresses	stress	NOUN
fis-213	130	17	in	in	ADP
fis-213	130	18	gradient	gradient	ADJ
fis-213	130	19	elasticity	elasticity	NOUN
fis-213	130	20	at	at	ADP
fis-213	130	21	bi	bi	ADJ
fis-213	130	22	-	-	ADJ
fis-213	130	23	material	material	ADJ
fis-213	130	24	interface	interface	NOUN
fis-213	130	25	with	with	ADP
fis-213	130	26	transverse	transverse	NOUN
fis-213	130	27	crack	crack	NOUN
fis-213	130	28	,	,	PUNCT
fis-213	130	29	int	int	NOUN
fis-213	130	30	.	.	PUNCT
fis-213	131	1	j.	j.	PROPN
fis-213	131	2	fract	fract	PROPN
fis-213	131	3	.	.	PROPN
fis-213	132	1	,	,	PUNCT
fis-213	132	2	156	156	NUM
fis-213	132	3	(	(	PUNCT
fis-213	132	4	2009	2009	NUM
fis-213	132	5	)	)	PUNCT
fis-213	132	6	217	217	NUM
fis-213	132	7	-	-	SYM
fis-213	132	8	222	222	NUM
fis-213	132	9	.	.	PUNCT
fis-213	133	1	[	[	X
fis-213	133	2	9	9	NUM
fis-213	133	3	]	]	PUNCT
fis-213	133	4	askes	ask	VERB
fis-213	133	5	,	,	PUNCT
fis-213	133	6	h.	h.	PROPN
fis-213	133	7	,	,	PUNCT
fis-213	133	8	aifantis	aifantis	PROPN
fis-213	133	9	,	,	PUNCT
fis-213	133	10	e.c	e.c	PROPN
fis-213	133	11	.	.	PROPN
fis-213	133	12	,	,	PUNCT
fis-213	133	13	gradient	gradient	ADJ
fis-213	133	14	elasticity	elasticity	NOUN
fis-213	133	15	in	in	ADP
fis-213	133	16	statics	statics	PROPN
fis-213	133	17	and	and	CCONJ
fis-213	133	18	dynamics	dynamic	NOUN
fis-213	133	19	:	:	PUNCT
fis-213	133	20	an	an	DET
fis-213	133	21	overview	overview	NOUN
fis-213	133	22	of	of	ADP
fis-213	133	23	formulations	formulation	NOUN
fis-213	133	24	,	,	PUNCT
fis-213	133	25	length	length	NOUN
fis-213	133	26	scale	scale	NOUN
fis-213	133	27	identification	identification	NOUN
fis-213	133	28	procedures	procedure	NOUN
fis-213	133	29	,	,	PUNCT
fis-213	133	30	finite	finite	PROPN
fis-213	133	31	element	element	NOUN
fis-213	133	32	implementations	implementation	NOUN
fis-213	133	33	and	and	CCONJ
fis-213	133	34	new	new	ADJ
fis-213	133	35	results	result	NOUN
fis-213	133	36	,	,	PUNCT
fis-213	133	37	int	int	NOUN
fis-213	133	38	.	.	PUNCT
fis-213	134	1	j.	j.	PROPN
fis-213	134	2	solids	solids	PROPN
fis-213	134	3	struct	struct	NOUN
fis-213	134	4	.	.	PUNCT
fis-213	134	5	,	,	PUNCT
fis-213	134	6	48	48	NUM
fis-213	134	7	(	(	PUNCT
fis-213	134	8	2011	2011	NUM
fis-213	134	9	)	)	PUNCT
fis-213	134	10	1962–1990	1962–1990	NUM
fis-213	134	11	.	.	PUNCT
fis-213	135	1	[	[	X
fis-213	135	2	10	10	NUM
fis-213	135	3	]	]	X
fis-213	135	4	taylor	taylor	PROPN
fis-213	135	5	,	,	PUNCT
fis-213	135	6	d.	d.	PROPN
fis-213	135	7	,	,	PUNCT
fis-213	135	8	the	the	DET
fis-213	135	9	theory	theory	NOUN
fis-213	135	10	of	of	ADP
fis-213	135	11	critical	critical	ADJ
fis-213	135	12	distances	distance	NOUN
fis-213	135	13	:	:	PUNCT
fis-213	135	14	a	a	DET
fis-213	135	15	new	new	ADJ
fis-213	135	16	perspective	perspective	NOUN
fis-213	135	17	in	in	ADP
fis-213	135	18	fracture	fracture	PROPN
fis-213	135	19	mechanics	mechanic	NOUN
fis-213	135	20	,	,	PUNCT
fis-213	135	21	elsevier	elsevier	NOUN
fis-213	135	22	,	,	PUNCT
fis-213	135	23	oxford	oxford	PROPN
fis-213	135	24	,	,	PUNCT
fis-213	135	25	uk	uk	PROPN
fis-213	135	26	(	(	PUNCT
fis-213	135	27	2007	2007	NUM
fis-213	135	28	)	)	PUNCT
fis-213	135	29	.	.	PUNCT
fis-213	136	1	[	[	X
fis-213	136	2	11	11	NUM
fis-213	136	3	]	]	PUNCT
fis-213	136	4	susmel	susmel	NOUN
fis-213	136	5	,	,	PUNCT
fis-213	136	6	l.	l.	PROPN
fis-213	136	7	,	,	PUNCT
fis-213	136	8	taylor	taylor	PROPN
fis-213	136	9	,	,	PUNCT
fis-213	136	10	d.	d.	PROPN
fis-213	136	11	,	,	PUNCT
fis-213	136	12	on	on	ADP
fis-213	136	13	the	the	DET
fis-213	136	14	use	use	NOUN
fis-213	136	15	of	of	ADP
fis-213	136	16	the	the	DET
fis-213	136	17	theory	theory	NOUN
fis-213	136	18	of	of	ADP
fis-213	136	19	critical	critical	ADJ
fis-213	136	20	distances	distance	NOUN
fis-213	136	21	to	to	PART
fis-213	136	22	predict	predict	VERB
fis-213	136	23	static	static	ADJ
fis-213	136	24	failures	failure	NOUN
fis-213	136	25	in	in	ADP
fis-213	136	26	ductile	ductile	NOUN
fis-213	136	27	metallic	metallic	ADJ
fis-213	136	28	materials	material	NOUN
fis-213	136	29	containing	contain	VERB
fis-213	136	30	different	different	ADJ
fis-213	136	31	geometrical	geometrical	ADJ
fis-213	136	32	features	feature	NOUN
fis-213	136	33	,	,	PUNCT
fis-213	136	34	engng	engng	ADJ
fis-213	136	35	.	.	PUNCT
fis-213	137	1	fract	fract	PROPN
fis-213	137	2	.	.	PUNCT
fis-213	138	1	mech	mech	PROPN
fis-213	138	2	.	.	PROPN
fis-213	138	3	,	,	PUNCT
fis-213	138	4	75	75	NUM
fis-213	138	5	(	(	PUNCT
fis-213	138	6	2008	2008	NUM
fis-213	138	7	)	)	PUNCT
fis-213	138	8	4410	4410	NUM
fis-213	138	9	-	-	SYM
fis-213	138	10	4421	4421	NUM
fis-213	138	11	.	.	PUNCT
fis-213	139	1	[	[	X
fis-213	139	2	12	12	NUM
fis-213	139	3	]	]	PUNCT
fis-213	139	4	susmel	susmel	NOUN
fis-213	139	5	,	,	PUNCT
fis-213	139	6	l.	l.	PROPN
fis-213	139	7	,	,	PUNCT
fis-213	139	8	taylor	taylor	PROPN
fis-213	139	9	,	,	PUNCT
fis-213	139	10	d.	d.	PROPN
fis-213	139	11	,	,	PUNCT
fis-213	139	12	the	the	DET
fis-213	139	13	theory	theory	NOUN
fis-213	139	14	of	of	ADP
fis-213	139	15	critical	critical	ADJ
fis-213	139	16	distances	distance	NOUN
fis-213	139	17	to	to	PART
fis-213	139	18	estimate	estimate	VERB
fis-213	139	19	the	the	DET
fis-213	139	20	static	static	ADJ
fis-213	139	21	strength	strength	NOUN
fis-213	139	22	of	of	ADP
fis-213	139	23	notched	notch	VERB
fis-213	139	24	samples	sample	NOUN
fis-213	139	25	of	of	ADP
fis-213	139	26	al6082	al6082	PROPN
fis-213	139	27	loaded	load	VERB
fis-213	139	28	in	in	ADP
fis-213	139	29	combined	combine	VERB
fis-213	139	30	tension	tension	NOUN
fis-213	139	31	and	and	CCONJ
fis-213	139	32	torsion	torsion	NOUN
fis-213	139	33	.	.	PUNCT
fis-213	140	1	part	part	NOUN
fis-213	141	1	i	i	NOUN
fis-213	141	2	:	:	PUNCT
fis-213	141	3	material	material	NOUN
fis-213	141	4	cracking	cracking	NOUN
fis-213	141	5	behaviour	behaviour	NOUN
fis-213	141	6	,	,	PUNCT
fis-213	141	7	engng	engng	ADJ
fis-213	141	8	.	.	PUNCT
fis-213	142	1	fract	fract	PROPN
fis-213	142	2	.	.	PUNCT
fis-213	143	1	mech	mech	PROPN
fis-213	143	2	.	.	PUNCT
fis-213	143	3	,	,	PUNCT
fis-213	143	4	77	77	NUM
fis-213	143	5	(	(	PUNCT
fis-213	143	6	2010	2010	NUM
fis-213	143	7	)	)	PUNCT
fis-213	143	8	452–469	452–469	NUM
fis-213	143	9	.	.	PUNCT
fis-213	144	1	[	[	X
fis-213	144	2	13	13	NUM
fis-213	144	3	]	]	SYM
fis-213	144	4	susmel	susmel	PROPN
fis-213	144	5	l.	l.	PROPN
fis-213	144	6	,	,	PUNCT
fis-213	144	7	taylor	taylor	PROPN
fis-213	144	8	d.	d.	PROPN
fis-213	144	9	,	,	PUNCT
fis-213	144	10	the	the	DET
fis-213	144	11	theory	theory	NOUN
fis-213	144	12	of	of	ADP
fis-213	144	13	critical	critical	ADJ
fis-213	144	14	distances	distance	NOUN
fis-213	144	15	to	to	PART
fis-213	144	16	estimate	estimate	VERB
fis-213	144	17	the	the	DET
fis-213	144	18	static	static	ADJ
fis-213	144	19	strength	strength	NOUN
fis-213	144	20	of	of	ADP
fis-213	144	21	notched	notch	VERB
fis-213	144	22	samples	sample	NOUN
fis-213	144	23	of	of	ADP
fis-213	144	24	al6082	al6082	PROPN
fis-213	144	25	loaded	load	VERB
fis-213	144	26	in	in	ADP
fis-213	144	27	combined	combine	VERB
fis-213	144	28	tension	tension	NOUN
fis-213	144	29	and	and	CCONJ
fis-213	144	30	torsion	torsion	NOUN
fis-213	144	31	.	.	PUNCT
fis-213	145	1	part	part	NOUN
fis-213	145	2	ii	ii	PROPN
fis-213	145	3	:	:	PUNCT
fis-213	145	4	multiaxial	multiaxial	ADJ
fis-213	145	5	static	static	ADJ
fis-213	145	6	assessment	assessment	NOUN
fis-213	145	7	,	,	PUNCT
fis-213	145	8	engng	engng	NOUN
fis-213	145	9	.	.	PUNCT
fis-213	146	1	fract	fract	PROPN
fis-213	146	2	.	.	PUNCT
fis-213	147	1	mech	mech	PROPN
fis-213	147	2	.	.	PUNCT
fis-213	147	3	,	,	PUNCT
fis-213	147	4	77	77	NUM
fis-213	147	5	(	(	PUNCT
fis-213	147	6	2010	2010	NUM
fis-213	147	7	)	)	PUNCT
fis-213	147	8	470	470	NUM
fis-213	147	9	–	–	PUNCT
fis-213	147	10	478	478	NUM
fis-213	147	11	.	.	PUNCT
fis-213	148	1	[	[	X
fis-213	148	2	14	14	NUM
fis-213	148	3	]	]	X
fis-213	148	4	whitney	whitney	PROPN
fis-213	148	5	,	,	PUNCT
fis-213	148	6	j.m	j.m	PROPN
fis-213	148	7	.	.	PROPN
fis-213	148	8	,	,	PUNCT
fis-213	148	9	nuismer	nuismer	NOUN
fis-213	148	10	,	,	PUNCT
fis-213	148	11	r.j	r.j	PROPN
fis-213	148	12	.	.	PROPN
fis-213	148	13	,	,	PUNCT
fis-213	148	14	stress	stress	NOUN
fis-213	148	15	fracture	fracture	PROPN
fis-213	148	16	criteria	criterion	NOUN
fis-213	148	17	for	for	ADP
fis-213	148	18	laminated	laminated	ADJ
fis-213	148	19	composites	composite	NOUN
fis-213	148	20	containing	contain	VERB
fis-213	148	21	stress	stress	NOUN
fis-213	148	22	concentrations	concentration	NOUN
fis-213	148	23	,	,	PUNCT
fis-213	148	24	j.	j.	PROPN
fis-213	148	25	composite	composite	ADJ
fis-213	148	26	mater	mater	NOUN
fis-213	148	27	.	.	PUNCT
fis-213	148	28	,	,	PUNCT
fis-213	148	29	8	8	NUM
fis-213	148	30	(	(	PUNCT
fis-213	148	31	1974	1974	NUM
fis-213	148	32	)	)	PUNCT
fis-213	148	33	253	253	NUM
fis-213	148	34	-	-	SYM
fis-213	148	35	265	265	NUM
fis-213	148	36	.	.	PUNCT
fis-213	149	1	[	[	X
fis-213	149	2	15	15	NUM
fis-213	149	3	]	]	X
fis-213	149	4	taylor	taylor	PROPN
fis-213	149	5	,	,	PUNCT
fis-213	149	6	d.	d.	PROPN
fis-213	149	7	,	,	PUNCT
fis-213	149	8	predicting	predict	VERB
fis-213	149	9	the	the	DET
fis-213	149	10	fracture	fracture	NOUN
fis-213	149	11	strength	strength	NOUN
fis-213	149	12	of	of	ADP
fis-213	149	13	ceramic	ceramic	ADJ
fis-213	149	14	materials	material	NOUN
fis-213	149	15	using	use	VERB
fis-213	149	16	the	the	DET
fis-213	149	17	theory	theory	NOUN
fis-213	149	18	of	of	ADP
fis-213	149	19	critical	critical	ADJ
fis-213	149	20	distances	distance	NOUN
fis-213	149	21	,	,	PUNCT
fis-213	149	22	engng	engng	NOUN
fis-213	149	23	.	.	PUNCT
fis-213	150	1	fract	fract	PROPN
fis-213	150	2	.	.	PUNCT
fis-213	151	1	mech	mech	PROPN
fis-213	151	2	.	.	PROPN
fis-213	151	3	,	,	PUNCT
fis-213	151	4	71	71	NUM
fis-213	151	5	(	(	PUNCT
fis-213	151	6	2004	2004	NUM
fis-213	151	7	)	)	PUNCT
fis-213	151	8	2407	2407	NUM
fis-213	151	9	-	-	SYM
fis-213	151	10	2416	2416	NUM
fis-213	151	11	.	.	PUNCT
fis-213	152	1	[	[	X
fis-213	152	2	16	16	NUM
fis-213	152	3	]	]	PUNCT
fis-213	152	4	susmel	susmel	NOUN
fis-213	152	5	,	,	PUNCT
fis-213	152	6	l.	l.	PROPN
fis-213	152	7	,	,	PUNCT
fis-213	152	8	taylor	taylor	PROPN
fis-213	152	9	,	,	PUNCT
fis-213	152	10	d.	d.	PROPN
fis-213	152	11	,	,	PUNCT
fis-213	152	12	the	the	DET
fis-213	152	13	theory	theory	NOUN
fis-213	152	14	of	of	ADP
fis-213	152	15	critical	critical	ADJ
fis-213	152	16	distances	distance	NOUN
fis-213	152	17	to	to	PART
fis-213	152	18	predict	predict	VERB
fis-213	152	19	static	static	ADJ
fis-213	152	20	strength	strength	NOUN
fis-213	152	21	of	of	ADP
fis-213	152	22	notched	notch	VERB
fis-213	152	23	brittle	brittle	ADJ
fis-213	152	24	components	component	NOUN
fis-213	152	25	subjected	subject	VERB
fis-213	152	26	to	to	ADP
fis-213	152	27	mixed	mixed	ADJ
fis-213	152	28	-	-	PUNCT
fis-213	152	29	mode	mode	NOUN
fis-213	152	30	loading	loading	NOUN
fis-213	152	31	,	,	PUNCT
fis-213	152	32	eng	eng	PROPN
fis-213	152	33	frac	frac	PROPN
fis-213	152	34	mech	mech	PROPN
fis-213	152	35	,	,	PUNCT
fis-213	152	36	75	75	NUM
fis-213	152	37	3	3	NUM
fis-213	152	38	-	-	SYM
fis-213	152	39	4	4	NUM
fis-213	152	40	(	(	PUNCT
fis-213	152	41	2008	2008	NUM
fis-213	152	42	)	)	PUNCT
fis-213	152	43	534	534	NUM
fis-213	152	44	-	-	SYM
fis-213	152	45	550	550	NUM
fis-213	152	46	.	.	PUNCT
fis-213	153	1	[	[	X
fis-213	153	2	17	17	NUM
fis-213	153	3	]	]	PUNCT
fis-213	153	4	susmel	susmel	NOUN
fis-213	153	5	,	,	PUNCT
fis-213	153	6	l.	l.	PROPN
fis-213	153	7	,	,	PUNCT
fis-213	153	8	askes	ask	VERB
fis-213	153	9	,	,	PUNCT
fis-213	153	10	h.	h.	NOUN
fis-213	153	11	,	,	PUNCT
fis-213	153	12	material	material	NOUN
fis-213	153	13	length	length	NOUN
fis-213	153	14	scales	scale	NOUN
fis-213	153	15	in	in	ADP
fis-213	153	16	fracture	fracture	NOUN
fis-213	153	17	analysis	analysis	NOUN
fis-213	153	18	:	:	PUNCT
fis-213	153	19	from	from	ADP
fis-213	153	20	gradient	gradient	ADJ
fis-213	153	21	elasticity	elasticity	NOUN
fis-213	153	22	to	to	ADP
fis-213	153	23	the	the	DET
fis-213	153	24	theory	theory	NOUN
fis-213	153	25	of	of	ADP
fis-213	153	26	critical	critical	ADJ
fis-213	153	27	distances	distance	NOUN
fis-213	153	28	,	,	PUNCT
fis-213	153	29	computational	computational	ADJ
fis-213	153	30	technology	technology	NOUN
fis-213	153	31	reviews	review	NOUN
fis-213	153	32	,	,	PUNCT
fis-213	153	33	6	6	NUM
fis-213	153	34	(	(	PUNCT
fis-213	153	35	2012	2012	NUM
fis-213	153	36	)	)	PUNCT
fis-213	153	37	63	63	NUM
fis-213	153	38	-	-	SYM
fis-213	153	39	80	80	NUM
fis-213	153	40	.	.	PUNCT
fis-213	154	1	[	[	X
fis-213	154	2	18	18	NUM
fis-213	154	3	]	]	PUNCT
fis-213	154	4	susmel	susmel	NOUN
fis-213	154	5	,	,	PUNCT
fis-213	154	6	l.	l.	PROPN
fis-213	154	7	,	,	PUNCT
fis-213	154	8	askes	ask	VERB
fis-213	154	9	,	,	PUNCT
fis-213	154	10	h.	h.	PROPN
fis-213	154	11	,	,	PUNCT
fis-213	154	12	bennett	bennett	PROPN
fis-213	154	13	,	,	PUNCT
fis-213	154	14	t.	t.	PROPN
fis-213	154	15	,	,	PUNCT
fis-213	154	16	taylor	taylor	PROPN
fis-213	154	17	,	,	PUNCT
fis-213	154	18	d.	d.	PROPN
fis-213	154	19	,	,	PUNCT
fis-213	154	20	theory	theory	NOUN
fis-213	154	21	of	of	ADP
fis-213	154	22	critical	critical	ADJ
fis-213	154	23	distances	distance	NOUN
fis-213	154	24	vs.	vs.	ADP
fis-213	154	25	gradient	gradient	ADJ
fis-213	154	26	mechanics	mechanic	NOUN
fis-213	154	27	in	in	ADP
fis-213	154	28	modelling	model	VERB
fis-213	154	29	the	the	DET
fis-213	154	30	transition	transition	NOUN
fis-213	154	31	from	from	ADP
fis-213	154	32	the	the	DET
fis-213	154	33	shortto	shortto	ADJ
fis-213	154	34	long	long	ADJ
fis-213	154	35	-	-	PUNCT
fis-213	154	36	crack	crack	NOUN
fis-213	154	37	regime	regime	NOUN
fis-213	154	38	at	at	ADP
fis-213	154	39	the	the	DET
fis-213	154	40	fatigue	fatigue	NOUN
fis-213	154	41	limit	limit	NOUN
fis-213	154	42	,	,	PUNCT
fis-213	154	43	fatigue	fatigue	NOUN
fis-213	154	44	fract	fract	NOUN
fis-213	154	45	.	.	PUNCT
fis-213	155	1	engng	engng	PROPN
fis-213	155	2	.	.	PUNCT
fis-213	156	1	mater	mater	NOUN
fis-213	156	2	.	.	PUNCT
fis-213	156	3	struct	struct	NOUN
fis-213	156	4	.	.	PUNCT
fis-213	156	5	,	,	PUNCT
fis-213	156	6	(	(	PUNCT
fis-213	156	7	2013	2013	NUM
fis-213	156	8	)	)	PUNCT
fis-213	156	9	–	–	PUNCT
fis-213	156	10	in	in	ADP
fis-213	156	11	press	press	NOUN
fis-213	156	12	.	.	PUNCT
fis-213	157	1	[	[	X
fis-213	157	2	19	19	NUM
fis-213	157	3	]	]	X
fis-213	157	4	neuber	neuber	PROPN
fis-213	157	5	,	,	PUNCT
fis-213	157	6	h.	h.	PROPN
fis-213	157	7	,	,	PUNCT
fis-213	157	8	theory	theory	NOUN
fis-213	157	9	of	of	ADP
fis-213	157	10	notch	notch	ADJ
fis-213	157	11	stresses	stress	NOUN
fis-213	157	12	.	.	PUNCT
fis-213	158	1	springer	springer	NOUN
fis-213	158	2	,	,	PUNCT
fis-213	158	3	berlin	berlin	PROPN
fis-213	158	4	,	,	PUNCT
fis-213	158	5	(	(	PUNCT
fis-213	158	6	1958	1958	NUM
fis-213	158	7	)	)	PUNCT
fis-213	158	8	.	.	PUNCT
fis-213	159	1	[	[	X
fis-213	159	2	20	20	NUM
fis-213	159	3	]	]	SYM
fis-213	159	4	peerlings	peerling	NOUN
fis-213	159	5	,	,	PUNCT
fis-213	159	6	r.h.j	r.h.j	ADJ
fis-213	159	7	.	.	PROPN
fis-213	159	8	,	,	PUNCT
fis-213	159	9	de	de	X
fis-213	159	10	borst	borst	PROPN
fis-213	159	11	,	,	PUNCT
fis-213	159	12	r.	r.	PROPN
fis-213	159	13	,	,	PUNCT
fis-213	159	14	brekelmans	brekelman	NOUN
fis-213	159	15	,	,	PUNCT
fis-213	159	16	w.a.m	w.a.m	PROPN
fis-213	159	17	.	.	PROPN
fis-213	159	18	,	,	PUNCT
fis-213	159	19	de	de	PROPN
fis-213	159	20	vree	vree	NOUN
fis-213	159	21	,	,	PUNCT
fis-213	159	22	j.h.v	j.h.v	PROPN
fis-213	159	23	.	.	PROPN
fis-213	159	24	,	,	PUNCT
fis-213	159	25	gradient	gradient	NOUN
fis-213	159	26	enhanced	enhance	VERB
fis-213	159	27	damage	damage	NOUN
fis-213	159	28	for	for	ADP
fis-213	159	29	quasi	quasi	ADJ
fis-213	159	30	-	-	ADJ
fis-213	159	31	brittle	brittle	ADJ
fis-213	159	32	materials	material	NOUN
fis-213	159	33	,	,	PUNCT
fis-213	159	34	int	int	NOUN
fis-213	159	35	.	.	PUNCT
fis-213	160	1	j.	j.	PROPN
fis-213	160	2	numer	numer	PROPN
fis-213	160	3	.	.	PUNCT
fis-213	161	1	meth	meth	PROPN
fis-213	161	2	.	.	PUNCT
fis-213	162	1	engng	engng	PROPN
fis-213	162	2	.	.	PROPN
fis-213	163	1	,	,	PUNCT
fis-213	163	2	39	39	NUM
fis-213	163	3	(	(	PUNCT
fis-213	163	4	1996	1996	NUM
fis-213	163	5	)	)	PUNCT
fis-213	164	1	3391–3403	3391–3403	NUM
fis-213	164	2	.	.	PUNCT
fis-213	165	1	t	t	PROPN
fis-213	165	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-213	165	3	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	PROPN
fis-213	165	4	h.	h.	PROPN
fis-213	165	5	askes	ask	VERB
fis-213	165	6	et	et	PROPN
fis-213	165	7	alii	alii	PROPN
fis-213	165	8	,	,	PUNCT
fis-213	165	9	frattura	frattura	PROPN
fis-213	165	10	ed	ed	PROPN
fis-213	165	11	integrità	integrità	PROPN
fis-213	165	12	strutturale	strutturale	PROPN
fis-213	165	13	,	,	PUNCT
fis-213	165	14	25	25	NUM
fis-213	165	15	(	(	PUNCT
fis-213	165	16	2013	2013	NUM
fis-213	165	17	)	)	PUNCT
fis-213	165	18	87	87	NUM
fis-213	165	19	-	-	SYM
fis-213	165	20	93	93	NUM
fis-213	165	21	;	;	PUNCT
fis-213	165	22	doi	doi	NOUN
fis-213	165	23	:	:	PUNCT
fis-213	165	24	10.3221	10.3221	NUM
fis-213	165	25	/	/	SYM
fis-213	165	26	igf	igf	PROPN
fis-213	165	27	-	-	PROPN
fis-213	165	28	esis.25.13	esis.25.13	PROPN
fis-213	165	29	93	93	NUM
fis-213	166	1	[	[	X
fis-213	166	2	21	21	NUM
fis-213	166	3	]	]	X
fis-213	166	4	kimoto	kimoto	PROPN
fis-213	166	5	,	,	PUNCT
fis-213	166	6	h.	h.	PROPN
fis-213	166	7	,	,	PUNCT
fis-213	166	8	usami	usami	ADJ
fis-213	166	9	,	,	PUNCT
fis-213	166	10	s.	s.	PROPN
fis-213	166	11	,	,	PUNCT
fis-213	166	12	miyata	miyata	PROPN
fis-213	166	13	,	,	PUNCT
fis-213	166	14	h.	h.	PROPN
fis-213	166	15	relationship	relationship	NOUN
fis-213	166	16	between	between	ADP
fis-213	166	17	strength	strength	NOUN
fis-213	166	18	and	and	CCONJ
fis-213	166	19	flaw	flaw	NOUN
fis-213	166	20	size	size	NOUN
fis-213	166	21	in	in	ADP
fis-213	166	22	glass	glass	NOUN
fis-213	166	23	and	and	CCONJ
fis-213	166	24	polycrystalline	polycrystalline	ADJ
fis-213	166	25	ceramics	ceramic	NOUN
fis-213	166	26	.	.	PUNCT
fis-213	167	1	japan	japan	PROPN
fis-213	167	2	soc	soc	PROPN
fis-213	167	3	.	.	PUNCT
fis-213	168	1	mech	mech	PROPN
fis-213	168	2	.	.	PUNCT
fis-213	169	1	engng	engng	PROPN
fis-213	169	2	.	.	PROPN
fis-213	170	1	,	,	PUNCT
fis-213	170	2	51	51	NUM
fis-213	170	3	(	(	PUNCT
fis-213	170	4	1985	1985	NUM
fis-213	170	5	)	)	PUNCT
fis-213	170	6	2482–2488	2482–2488	NUM
fis-213	170	7	.	.	PUNCT
fis-213	171	1	[	[	X
fis-213	171	2	22	22	NUM
fis-213	171	3	]	]	X
fis-213	171	4	anw	anw	PROPN
fis-213	171	5	,	,	PUNCT
fis-213	171	6	k.	k.	PROPN
fis-213	171	7	,	,	PUNCT
fis-213	171	8	kim	kim	PROPN
fis-213	171	9	,	,	PUNCT
fis-213	171	10	b.a	b.a	PROPN
fis-213	171	11	.	.	PROPN
fis-213	171	12	,	,	PUNCT
fis-213	171	13	iwasa	iwasa	PROPN
fis-213	171	14	,	,	PUNCT
fis-213	171	15	m.	m.	NOUN
fis-213	171	16	,	,	PUNCT
fis-213	171	17	ogura	ogura	PROPN
fis-213	171	18	,	,	PUNCT
fis-213	171	19	n.	n.	NOUN
fis-213	171	20	,	,	PUNCT
fis-213	171	21	process	process	NOUN
fis-213	171	22	zone	zone	NOUN
fis-213	171	23	size	size	NOUN
fis-213	171	24	failure	failure	NOUN
fis-213	171	25	criterion	criterion	NOUN
fis-213	171	26	and	and	CCONJ
fis-213	171	27	probabilistic	probabilistic	ADJ
fis-213	171	28	fracture	fracture	NOUN
fis-213	171	29	assessment	assessment	NOUN
fis-213	171	30	curves	curve	NOUN
fis-213	171	31	for	for	ADP
fis-213	171	32	ceramics	ceramic	NOUN
fis-213	171	33	,	,	PUNCT
fis-213	171	34	fatigue	fatigue	NOUN
fis-213	171	35	fract	fract	NOUN
fis-213	171	36	.	.	PUNCT
fis-213	172	1	engng	engng	PROPN
fis-213	172	2	mater	mater	PROPN
fis-213	172	3	.	.	PUNCT
fis-213	172	4	struct	struct	NOUN
fis-213	172	5	.	.	PUNCT
fis-213	172	6	,	,	PUNCT
fis-213	172	7	15	15	NUM
fis-213	172	8	(	(	PUNCT
fis-213	172	9	2	2	NUM
fis-213	172	10	)	)	PUNCT
fis-213	172	11	(	(	PUNCT
fis-213	172	12	1992	1992	NUM
fis-213	172	13	)	)	PUNCT
fis-213	172	14	139	139	NUM
fis-213	172	15	-	-	SYM
fis-213	172	16	149	149	NUM
fis-213	172	17	.	.	PUNCT
fis-213	173	1	[	[	X
fis-213	173	2	23	23	NUM
fis-213	173	3	]	]	X
fis-213	173	4	taniguchi	taniguchi	NOUN
fis-213	173	5	,	,	PUNCT
fis-213	173	6	y.	y.	PROPN
fis-213	173	7	,	,	PUNCT
fis-213	173	8	kitazumi	kitazumi	PROPN
fis-213	173	9	,	,	PUNCT
fis-213	173	10	j.	j.	PROPN
fis-213	173	11	,	,	PUNCT
fis-213	173	12	yamada	yamada	PROPN
fis-213	173	13	,	,	PUNCT
fis-213	173	14	t.	t.	PROPN
fis-213	173	15	,	,	PUNCT
fis-213	173	16	bending	bend	VERB
fis-213	173	17	stress	stress	NOUN
fis-213	173	18	analysis	analysis	NOUN
fis-213	173	19	of	of	ADP
fis-213	173	20	ceramics	ceramic	NOUN
fis-213	173	21	based	base	VERB
fis-213	173	22	on	on	ADP
fis-213	173	23	the	the	DET
fis-213	173	24	statistical	statistical	ADJ
fis-213	173	25	theory	theory	NOUN
fis-213	173	26	of	of	ADP
fis-213	173	27	stress	stress	NOUN
fis-213	173	28	and	and	CCONJ
fis-213	173	29	fracture	fracture	NOUN
fis-213	173	30	location	location	NOUN
fis-213	173	31	,	,	PUNCT
fis-213	173	32	j.	j.	PROPN
fis-213	173	33	jap	jap	PROPN
fis-213	173	34	.	.	PUNCT
fis-213	173	35	soc	soc	PROPN
fis-213	173	36	.	.	PUNCT
fis-213	174	1	mater	mater	PROPN
fis-213	174	2	.	.	PUNCT
fis-213	175	1	sci	sci	PROPN
fis-213	175	2	.	.	PROPN
fis-213	175	3	,	,	PUNCT
fis-213	175	4	38	38	NUM
fis-213	175	5	(	(	PUNCT
fis-213	175	6	1988	1988	NUM
fis-213	175	7	)	)	PUNCT
fis-213	175	8	777	777	NUM
fis-213	175	9	-	-	SYM
fis-213	175	10	782	782	NUM
fis-213	175	11	.	.	PUNCT
fis-213	176	1	[	[	X
fis-213	176	2	24	24	NUM
fis-213	176	3	]	]	PUNCT
fis-213	176	4	nagase	nagase	PROPN
fis-213	176	5	,	,	PUNCT
fis-213	176	6	y.	y.	PROPN
fis-213	176	7	,	,	PUNCT
fis-213	176	8	hoshide	hoshide	NOUN
fis-213	176	9	,	,	PUNCT
fis-213	176	10	t.	t.	PROPN
fis-213	176	11	,	,	PUNCT
fis-213	176	12	furuya	furuya	PROPN
fis-213	176	13	,	,	PUNCT
fis-213	176	14	h.	h.	PROPN
fis-213	176	15	,	,	PUNCT
fis-213	176	16	yamada	yamada	PROPN
fis-213	176	17	,	,	PUNCT
fis-213	176	18	t.	t.	PROPN
fis-213	176	19	,	,	PUNCT
fis-213	176	20	room	room	NOUN
fis-213	176	21	and	and	CCONJ
fis-213	176	22	high	high	ADJ
fis-213	176	23	temperature	temperature	NOUN
fis-213	176	24	strengths	strength	NOUN
fis-213	176	25	for	for	ADP
fis-213	176	26	ring	ring	NOUN
fis-213	176	27	specimen	speciman	NOUN
fis-213	176	28	of	of	ADP
fis-213	176	29	sintered	sinter	VERB
fis-213	176	30	silicon	silicon	NOUN
fis-213	176	31	nitride	nitride	PROPN
fis-213	176	32	,	,	PUNCT
fis-213	176	33	in	in	ADP
fis-213	176	34	:	:	PUNCT
fis-213	176	35	33rd	33rd	PROPN
fis-213	176	36	ann	ann	PROPN
fis-213	176	37	.	.	PUNCT
fis-213	177	1	meeting	meeting	NOUN
fis-213	177	2	.	.	PUNCT
fis-213	178	1	society	society	NOUN
fis-213	178	2	of	of	ADP
fis-213	178	3	materials	material	NOUN
fis-213	178	4	science	science	NOUN
fis-213	178	5	,	,	PUNCT
fis-213	178	6	japan	japan	PROPN
fis-213	178	7	,	,	PUNCT
fis-213	178	8	(	(	PUNCT
fis-213	178	9	1984	1984	NUM
fis-213	178	10	)	)	PUNCT
fis-213	178	11	150	150	NUM
fis-213	178	12	-	-	SYM
fis-213	178	13	152	152	NUM
fis-213	178	14	.	.	PUNCT
fis-213	179	1	[	[	X
fis-213	179	2	25	25	NUM
fis-213	179	3	]	]	X
fis-213	179	4	kirchner	kirchner	PROPN
fis-213	179	5	,	,	PUNCT
fis-213	179	6	h.	h.	PROPN
fis-213	179	7	p.	p.	PROPN
fis-213	179	8	,	,	PUNCT
fis-213	179	9	gruver	gruver	PROPN
fis-213	179	10	,	,	PUNCT
fis-213	179	11	r.	r.	PROPN
fis-213	179	12	m.	m.	PROPN
fis-213	179	13	,	,	PUNCT
fis-213	179	14	sotter	sotter	NOUN
fis-213	179	15	,	,	PUNCT
fis-213	179	16	w.	w.	PROPN
fis-213	179	17	a.	a.	PROPN
fis-213	179	18	,	,	PUNCT
fis-213	179	19	characteristics	characteristic	NOUN
fis-213	179	20	of	of	ADP
fis-213	179	21	flaws	flaw	NOUN
fis-213	179	22	at	at	ADP
fis-213	179	23	fracture	fracture	NOUN
fis-213	179	24	origins	origin	NOUN
fis-213	179	25	and	and	CCONJ
fis-213	179	26	fracture	fracture	PROPN
fis-213	179	27	stressflaw	stressflaw	NOUN
fis-213	179	28	size	size	NOUN
fis-213	179	29	relations	relation	NOUN
fis-213	179	30	in	in	ADP
fis-213	179	31	various	various	ADJ
fis-213	179	32	ceramics	ceramic	NOUN
fis-213	179	33	,	,	PUNCT
fis-213	179	34	mater	mater	NOUN
fis-213	179	35	.	.	PUNCT
fis-213	180	1	sci	sci	PROPN
fis-213	180	2	.	.	PUNCT
fis-213	181	1	eng	eng	PROPN
fis-213	181	2	.	.	PROPN
fis-213	181	3	,	,	PUNCT
fis-213	181	4	22	22	NUM
fis-213	181	5	(	(	PUNCT
fis-213	181	6	1976	1976	NUM
fis-213	181	7	)	)	PUNCT
fis-213	181	8	147	147	NUM
fis-213	181	9	-	-	SYM
fis-213	181	10	156	156	NUM
fis-213	181	11	.	.	PUNCT
fis-213	182	1	[	[	X
fis-213	182	2	26	26	NUM
fis-213	182	3	]	]	PUNCT
fis-213	182	4	bourne	bourne	NOUN
fis-213	182	5	,	,	PUNCT
fis-213	182	6	w.c	w.c	PROPN
fis-213	182	7	.	.	PROPN
fis-213	182	8	,	,	PUNCT
fis-213	182	9	tressler	tressler	PROPN
fis-213	182	10	,	,	PUNCT
fis-213	182	11	r.e	r.e	PROPN
fis-213	182	12	.	.	PROPN
fis-213	182	13	,	,	PUNCT
fis-213	182	14	alteration	alteration	NOUN
fis-213	182	15	of	of	ADP
fis-213	182	16	flaw	flaw	NOUN
fis-213	182	17	sizes	size	NOUN
fis-213	182	18	and	and	CCONJ
fis-213	182	19	kic	kic	PROPN
fis-213	182	20	of	of	ADP
fis-213	182	21	si3n4	si3n4	PROPN
fis-213	182	22	ceramics	ceramic	NOUN
fis-213	182	23	by	by	ADP
fis-213	182	24	molten	molten	ADJ
fis-213	182	25	salt	salt	NOUN
fis-213	182	26	exposure	exposure	NOUN
fis-213	182	27	,	,	PUNCT
fis-213	182	28	in	in	ADP
fis-213	182	29	:	:	PUNCT
fis-213	182	30	int	int	NOUN
fis-213	182	31	.	.	PUNCT
fis-213	183	1	symp	symp	PROPN
fis-213	183	2	.	.	PUNCT
fis-213	184	1	frac	frac	PROPN
fis-213	184	2	.	.	PUNCT
fis-213	185	1	.mech	.mech	PROPN
fis-213	185	2	.	.	PROPN
fis-213	185	3	ceram	ceram	PROPN
fis-213	185	4	.	.	PROPN
fis-213	186	1	,	,	PUNCT
fis-213	186	2	plenum	plenum	PROPN
fis-213	186	3	,	,	PUNCT
fis-213	186	4	new	new	PROPN
fis-213	186	5	york	york	PROPN
fis-213	186	6	3	3	NUM
fis-213	186	7	(	(	PUNCT
fis-213	186	8	1978	1978	NUM
fis-213	186	9	)	)	PUNCT
fis-213	186	10	113	113	NUM
fis-213	186	11	-	-	SYM
fis-213	186	12	124	124	NUM
fis-213	186	13	.	.	PUNCT
fis-213	187	1	[	[	X
fis-213	187	2	27	27	NUM
fis-213	187	3	]	]	X
fis-213	187	4	kawai	kawai	PROPN
fis-213	187	5	,	,	PUNCT
fis-213	187	6	m.	m.	NOUN
fis-213	187	7	,	,	PUNCT
fis-213	187	8	abe	abe	PROPN
fis-213	187	9	,	,	PUNCT
fis-213	187	10	h.	h.	PROPN
fis-213	187	11	,	,	PUNCT
fis-213	187	12	nakayama	nakayama	PROPN
fis-213	187	13	,	,	PUNCT
fis-213	187	14	j.	j.	PROPN
fis-213	187	15	,	,	PUNCT
fis-213	187	16	the	the	DET
fis-213	187	17	effect	effect	NOUN
fis-213	187	18	of	of	ADP
fis-213	187	19	surface	surface	NOUN
fis-213	187	20	roughness	roughness	NOUN
fis-213	187	21	on	on	ADP
fis-213	187	22	the	the	DET
fis-213	187	23	strength	strength	NOUN
fis-213	187	24	of	of	ADP
fis-213	187	25	silicon	silicon	NOUN
fis-213	187	26	nitride	nitride	NOUN
fis-213	187	27	,	,	PUNCT
fis-213	187	28	in	in	ADP
fis-213	187	29	:	:	PUNCT
fis-213	187	30	proc	proc	NOUN
fis-213	187	31	.	.	PUNCT
fis-213	188	1	int	int	NOUN
fis-213	188	2	.	.	PUNCT
fis-213	189	1	symp	symp	PROPN
fis-213	189	2	.	.	PUNCT
fis-213	190	1	factors	factor	VERB
fis-213	190	2	densification	densification	NOUN
fis-213	190	3	sinter	sinter	NOUN
fis-213	190	4	.	.	PUNCT
fis-213	191	1	oxide	oxide	PROPN
fis-213	191	2	nonoxide	nonoxide	PROPN
fis-213	191	3	ceram	ceram	PROPN
fis-213	191	4	.	.	PUNCT
fis-213	191	5	,	,	PUNCT
fis-213	191	6	tokyo	tokyo	PROPN
fis-213	191	7	,	,	PUNCT
fis-213	191	8	(	(	PUNCT
fis-213	191	9	1978	1978	NUM
fis-213	191	10	)	)	PUNCT
fis-213	191	11	545	545	NUM
fis-213	191	12	-	-	SYM
fis-213	191	13	556	556	NUM
fis-213	191	14	.	.	PUNCT
fis-213	192	1	[	[	X
fis-213	192	2	28	28	NUM
fis-213	192	3	]	]	X
fis-213	192	4	kimoto	kimoto	PROPN
fis-213	192	5	,	,	PUNCT
fis-213	192	6	h.	h.	PROPN
fis-213	192	7	,	,	PUNCT
fis-213	192	8	usami	usami	ADJ
fis-213	192	9	,	,	PUNCT
fis-213	192	10	s.	s.	PROPN
fis-213	192	11	,	,	PUNCT
fis-213	192	12	miyata	miyata	PROPN
fis-213	192	13	,	,	PUNCT
fis-213	192	14	h.	h.	PROPN
fis-213	192	15	,	,	PUNCT
fis-213	192	16	flaw	flaw	NOUN
fis-213	192	17	size	size	NOUN
fis-213	192	18	dependence	dependence	NOUN
fis-213	192	19	in	in	ADP
fis-213	192	20	fracture	fracture	NOUN
fis-213	192	21	stress	stress	NOUN
fis-213	192	22	of	of	ADP
fis-213	192	23	glass	glass	NOUN
fis-213	192	24	and	and	CCONJ
fis-213	192	25	polycrystalline	polycrystalline	ADJ
fis-213	192	26	ceramics	ceramic	NOUN
fis-213	192	27	,	,	PUNCT
fis-213	192	28	japan	japan	PROPN
fis-213	192	29	soc	soc	PROPN
fis-213	192	30	.	.	PUNCT
fis-213	192	31	mech	mech	PROPN
fis-213	192	32	.	.	PUNCT
fis-213	193	1	eng	eng	PROPN
fis-213	193	2	.	.	PROPN
fis-213	193	3	,	,	PUNCT
fis-213	193	4	841	841	NUM
fis-213	193	5	-	-	SYM
fis-213	193	6	852	852	NUM
fis-213	193	7	(	(	PUNCT
fis-213	193	8	1984	1984	NUM
fis-213	193	9	)	)	PUNCT
fis-213	193	10	34	34	NUM
fis-213	193	11	-	-	SYM
fis-213	193	12	40	40	NUM
fis-213	193	13	.	.	PUNCT
fis-213	194	1	[	[	X
fis-213	194	2	29	29	NUM
fis-213	194	3	]	]	X
fis-213	194	4	takahashi	takahashi	PROPN
fis-213	194	5	,	,	PUNCT
fis-213	194	6	i.	i.	PROPN
fis-213	194	7	,	,	PUNCT
fis-213	194	8	usami	usami	ADJ
fis-213	194	9	,	,	PUNCT
fis-213	194	10	s.	s.	PROPN
fis-213	194	11	,	,	PUNCT
fis-213	194	12	nakakado	nakakado	VERB
fis-213	194	13	,	,	PUNCT
fis-213	194	14	k.	k.	PROPN
fis-213	194	15	,	,	PUNCT
fis-213	194	16	miyata	miyata	PROPN
fis-213	194	17	,	,	PUNCT
fis-213	194	18	h.	h.	PROPN
fis-213	194	19	,	,	PUNCT
fis-213	194	20	shida	shida	PROPN
fis-213	194	21	,	,	PUNCT
fis-213	194	22	s.	s.	PROPN
fis-213	194	23	,	,	PUNCT
fis-213	194	24	effect	effect	NOUN
fis-213	194	25	of	of	ADP
fis-213	194	26	defect	defect	ADJ
fis-213	194	27	size	size	NOUN
fis-213	194	28	and	and	CCONJ
fis-213	194	29	notch	notch	NOUN
fis-213	194	30	root	root	NOUN
fis-213	194	31	radius	radius	NOUN
fis-213	194	32	on	on	ADP
fis-213	194	33	fracture	fracture	NOUN
fis-213	194	34	strength	strength	NOUN
fis-213	194	35	of	of	ADP
fis-213	194	36	engineering	engineering	NOUN
fis-213	194	37	ceramics	ceramic	NOUN
fis-213	194	38	,	,	PUNCT
fis-213	194	39	j.	j.	PROPN
fis-213	194	40	ceram	ceram	PROPN
fis-213	194	41	.	.	PUNCT
fis-213	195	1	soc	soc	PROPN
fis-213	195	2	.	.	PUNCT
fis-213	196	1	japan	japan	PROPN
fis-213	196	2	,	,	PUNCT
fis-213	196	3	93	93	NUM
fis-213	196	4	(	(	PUNCT
fis-213	196	5	1985	1985	NUM
fis-213	196	6	)	)	PUNCT
fis-213	196	7	186	186	NUM
fis-213	196	8	-	-	SYM
fis-213	196	9	194	194	NUM
fis-213	196	10	.	.	PUNCT
fis-213	197	1	[	[	X
fis-213	197	2	30	30	NUM
fis-213	197	3	]	]	X
fis-213	197	4	katayama	katayama	NOUN
fis-213	197	5	,	,	PUNCT
fis-213	197	6	y.	y.	PROPN
fis-213	197	7	,	,	PUNCT
fis-213	197	8	matsuo	matsuo	PROPN
fis-213	197	9	,	,	PUNCT
fis-213	197	10	y.	y.	PROPN
fis-213	197	11	,	,	PUNCT
fis-213	197	12	relationship	relationship	NOUN
fis-213	197	13	between	between	ADP
fis-213	197	14	strength	strength	NOUN
fis-213	197	15	and	and	CCONJ
fis-213	197	16	defect	defect	VERB
fis-213	197	17	size	size	NOUN
fis-213	197	18	in	in	ADP
fis-213	197	19	alumina	alumina	NOUN
fis-213	197	20	,	,	PUNCT
fis-213	197	21	in	in	ADP
fis-213	197	22	:	:	PUNCT
fis-213	197	23	3rd	3rd	ADJ
fis-213	197	24	symp	symp	NOUN
fis-213	197	25	.	.	PUNCT
fis-213	198	1	high	high	ADJ
fis-213	198	2	temp	temp	NOUN
fis-213	198	3	.	.	PUNCT
fis-213	199	1	mater	mater	NOUN
fis-213	199	2	.	.	PROPN
fis-213	199	3	,	,	PUNCT
fis-213	199	4	ceramic	ceramic	ADJ
fis-213	199	5	soc	soc	NOUN
fis-213	199	6	.	.	PUNCT
fis-213	200	1	of	of	ADP
fis-213	200	2	japan	japan	PROPN
fis-213	200	3	,	,	PUNCT
fis-213	200	4	(	(	PUNCT
fis-213	200	5	1984	1984	NUM
fis-213	200	6	)	)	PUNCT
fis-213	200	7	34	34	NUM
fis-213	200	8	-	-	SYM
fis-213	200	9	38	38	NUM
fis-213	200	10	.	.	PUNCT
fis-213	201	1	[	[	X
fis-213	201	2	31	31	NUM
fis-213	201	3	]	]	PUNCT
fis-213	201	4	iseki	iseki	PROPN
fis-213	201	5	,	,	PUNCT
fis-213	201	6	t.	t.	PROPN
fis-213	201	7	,	,	PUNCT
fis-213	201	8	maruyama	maruyama	PROPN
fis-213	201	9	,	,	PUNCT
fis-213	201	10	t.	t.	PROPN
fis-213	201	11	,	,	PUNCT
fis-213	201	12	hanafusa	hanafusa	PROPN
fis-213	201	13	,	,	PUNCT
fis-213	201	14	k.	k.	PROPN
fis-213	201	15	,	,	PUNCT
fis-213	201	16	suzuki	suzuki	PROPN
fis-213	201	17	,	,	PUNCT
fis-213	201	18	h.	h.	PROPN
fis-213	201	19	,	,	PUNCT
fis-213	201	20	effect	effect	NOUN
fis-213	201	21	of	of	ADP
fis-213	201	22	surface	surface	NOUN
fis-213	201	23	roughness	roughness	NOUN
fis-213	201	24	on	on	ADP
fis-213	201	25	the	the	DET
fis-213	201	26	bending	bend	VERB
fis-213	201	27	strength	strength	NOUN
fis-213	201	28	of	of	ADP
fis-213	201	29	graphite	graphite	NOUN
fis-213	201	30	and	and	CCONJ
fis-213	201	31	alumina	alumina	NOUN
fis-213	201	32	at	at	ADP
fis-213	201	33	high	high	ADJ
fis-213	201	34	temperatures	temperature	NOUN
fis-213	201	35	,	,	PUNCT
fis-213	201	36	j.	j.	PROPN
fis-213	201	37	ceram	ceram	PROPN
fis-213	201	38	.	.	PUNCT
fis-213	202	1	soc	soc	PROPN
fis-213	202	2	.	.	PUNCT
fis-213	203	1	japan	japan	PROPN
fis-213	203	2	,	,	PUNCT
fis-213	203	3	86	86	NUM
fis-213	203	4	(	(	PUNCT
fis-213	203	5	1978	1978	NUM
fis-213	203	6	)	)	PUNCT
fis-213	203	7	547	547	NUM
fis-213	203	8	-	-	SYM
fis-213	203	9	552	552	NUM
fis-213	203	10	.	.	PUNCT
fis-213	204	1	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-213	204	2	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	http://dx.medra.org/10.3221/igf-esis.25.13&auth=true	ADJ