id	sid	tid	token	lemma	pos
fis-1879	1	1	microsoft	microsoft	PROPN
fis-1879	1	2	word	word	PROPN
fis-1879	1	3	numero_41_art_24.docx	numero_41_art_24.docx	VERB
fis-1879	1	4	a.	a.	PROPN
fis-1879	1	5	carpinteri	carpinteri	PROPN
fis-1879	1	6	et	et	PROPN
fis-1879	1	7	alii	alii	PROPN
fis-1879	1	8	,	,	PUNCT
fis-1879	1	9	frattura	frattura	PROPN
fis-1879	1	10	ed	ed	PROPN
fis-1879	1	11	integrità	integrità	PROPN
fis-1879	1	12	strutturale	strutturale	PROPN
fis-1879	1	13	,	,	PUNCT
fis-1879	1	14	41	41	NUM
fis-1879	1	15	(	(	PUNCT
fis-1879	1	16	2017	2017	NUM
fis-1879	1	17	)	)	PUNCT
fis-1879	1	18	175	175	NUM
fis-1879	1	19	-	-	SYM
fis-1879	1	20	182	182	NUM
fis-1879	1	21	;	;	PUNCT
fis-1879	1	22	doi	doi	NOUN
fis-1879	1	23	:	:	PUNCT
fis-1879	1	24	10.3221	10.3221	NUM
fis-1879	1	25	/	/	SYM
fis-1879	1	26	igf	igf	PROPN
fis-1879	1	27	-	-	ADJ
fis-1879	1	28	esis.41.24	esis.41.24	NOUN
fis-1879	1	29	175	175	NUM
fis-1879	1	30	focused	focus	VERB
fis-1879	1	31	on	on	ADP
fis-1879	1	32	crack	crack	NOUN
fis-1879	1	33	tip	tip	NOUN
fis-1879	1	34	fields	field	NOUN
fis-1879	1	35	fracture	fracture	ADJ
fis-1879	1	36	toughness	toughness	NOUN
fis-1879	1	37	of	of	ADP
fis-1879	1	38	rough	rough	ADJ
fis-1879	1	39	and	and	CCONJ
fis-1879	1	40	frictional	frictional	ADJ
fis-1879	1	41	cracks	crack	NOUN
fis-1879	1	42	emanating	emanate	VERB
fis-1879	1	43	from	from	ADP
fis-1879	1	44	a	a	DET
fis-1879	1	45	re	re	ADJ
fis-1879	1	46	-	-	ADJ
fis-1879	1	47	entrant	entrant	ADJ
fis-1879	1	48	corner	corner	NOUN
fis-1879	1	49	andrea	andrea	PROPN
fis-1879	1	50	carpinteri	carpinteri	PROPN
fis-1879	1	51	,	,	PUNCT
fis-1879	1	52	andrea	andrea	PROPN
fis-1879	1	53	spagnoli	spagnoli	PROPN
fis-1879	1	54	,	,	PUNCT
fis-1879	1	55	michele	michele	PROPN
fis-1879	1	56	terzano	terzano	PROPN
fis-1879	1	57	,	,	PUNCT
fis-1879	1	58	sabrina	sabrina	PROPN
fis-1879	1	59	vantadori	vantadori	PROPN
fis-1879	1	60	department	department	PROPN
fis-1879	1	61	of	of	ADP
fis-1879	1	62	engineering	engineering	NOUN
fis-1879	1	63	and	and	CCONJ
fis-1879	1	64	architecture	architecture	NOUN
fis-1879	1	65	,	,	PUNCT
fis-1879	1	66	university	university	NOUN
fis-1879	1	67	of	of	ADP
fis-1879	1	68	parma	parma	PROPN
fis-1879	1	69	,	,	PUNCT
fis-1879	1	70	viale	viale	NOUN
fis-1879	1	71	usberti	usberti	NOUN
fis-1879	1	72	181	181	NUM
fis-1879	1	73	/	/	SYM
fis-1879	1	74	a	a	DET
fis-1879	1	75	,	,	PUNCT
fis-1879	1	76	43124	43124	NUM
fis-1879	1	77	parma	parma	NOUN
fis-1879	1	78	,	,	PUNCT
fis-1879	1	79	italy	italy	PROPN
fis-1879	1	80	spagnoli@unipr.it	spagnoli@unipr.it	PROPN
fis-1879	1	81	abstract	abstract	ADJ
fis-1879	1	82	.	.	PUNCT
fis-1879	2	1	in	in	ADP
fis-1879	2	2	mixed	mixed	ADJ
fis-1879	2	3	-	-	PUNCT
fis-1879	2	4	mode	mode	NOUN
fis-1879	2	5	conditions	condition	NOUN
fis-1879	2	6	,	,	PUNCT
fis-1879	2	7	the	the	DET
fis-1879	2	8	competing	compete	VERB
fis-1879	2	9	contribution	contribution	NOUN
fis-1879	2	10	of	of	ADP
fis-1879	2	11	the	the	DET
fis-1879	2	12	different	different	ADJ
fis-1879	2	13	stress	stress	NOUN
fis-1879	2	14	intensity	intensity	NOUN
fis-1879	2	15	factors	factor	NOUN
fis-1879	2	16	predicts	predict	VERB
fis-1879	2	17	fracture	fracture	ADJ
fis-1879	2	18	initiation	initiation	NOUN
fis-1879	2	19	load	load	NOUN
fis-1879	2	20	as	as	ADV
fis-1879	2	21	well	well	ADV
fis-1879	2	22	as	as	ADP
fis-1879	2	23	crack	crack	VERB
fis-1879	2	24	propagation	propagation	NOUN
fis-1879	2	25	direction	direction	NOUN
fis-1879	2	26	.	.	PUNCT
fis-1879	3	1	commonly	commonly	ADV
fis-1879	3	2	,	,	PUNCT
fis-1879	3	3	mixed	mixed	ADJ
fis-1879	3	4	-	-	PUNCT
fis-1879	3	5	mode	mode	NOUN
fis-1879	3	6	fracture	fracture	NOUN
fis-1879	3	7	resistance	resistance	NOUN
fis-1879	3	8	is	be	AUX
fis-1879	3	9	based	base	VERB
fis-1879	3	10	on	on	ADP
fis-1879	3	11	the	the	DET
fis-1879	3	12	assumption	assumption	NOUN
fis-1879	3	13	of	of	ADP
fis-1879	3	14	smooth	smooth	ADJ
fis-1879	3	15	and	and	CCONJ
fis-1879	3	16	frictionless	frictionless	NOUN
fis-1879	3	17	cracks	crack	NOUN
fis-1879	3	18	.	.	PUNCT
fis-1879	4	1	however	however	ADV
fis-1879	4	2	,	,	PUNCT
fis-1879	4	3	the	the	DET
fis-1879	4	4	effect	effect	NOUN
fis-1879	4	5	of	of	ADP
fis-1879	4	6	friction	friction	NOUN
fis-1879	4	7	and	and	CCONJ
fis-1879	4	8	roughness	roughness	NOUN
fis-1879	4	9	can	can	AUX
fis-1879	4	10	not	not	PART
fis-1879	4	11	be	be	AUX
fis-1879	4	12	neglected	neglect	VERB
fis-1879	4	13	when	when	SCONJ
fis-1879	4	14	mixed	mixed	ADJ
fis-1879	4	15	mode	mode	NOUN
fis-1879	4	16	loading	loading	NOUN
fis-1879	4	17	occurs	occur	VERB
fis-1879	4	18	,	,	PUNCT
fis-1879	4	19	as	as	ADP
fis-1879	4	20	in	in	ADP
fis-1879	4	21	the	the	DET
fis-1879	4	22	case	case	NOUN
fis-1879	4	23	of	of	ADP
fis-1879	4	24	a	a	DET
fis-1879	4	25	crack	crack	NOUN
fis-1879	4	26	emanating	emanate	VERB
fis-1879	4	27	from	from	ADP
fis-1879	4	28	a	a	DET
fis-1879	4	29	re	re	ADJ
fis-1879	4	30	-	-	NOUN
fis-1879	4	31	entrant	entrant	ADJ
fis-1879	4	32	corner	corner	NOUN
fis-1879	4	33	.	.	PUNCT
fis-1879	5	1	in	in	ADP
fis-1879	5	2	this	this	DET
fis-1879	5	3	paper	paper	NOUN
fis-1879	5	4	,	,	PUNCT
fis-1879	5	5	the	the	DET
fis-1879	5	6	effect	effect	NOUN
fis-1879	5	7	of	of	ADP
fis-1879	5	8	friction	friction	NOUN
fis-1879	5	9	and	and	CCONJ
fis-1879	5	10	roughness	roughness	NOUN
fis-1879	5	11	is	be	AUX
fis-1879	5	12	evaluated	evaluate	VERB
fis-1879	5	13	through	through	ADP
fis-1879	5	14	a	a	DET
fis-1879	5	15	simple	simple	ADJ
fis-1879	5	16	saw	saw	NOUN
fis-1879	5	17	-	-	PUNCT
fis-1879	5	18	tooth	tooth	NOUN
fis-1879	5	19	model	model	NOUN
fis-1879	5	20	in	in	ADP
fis-1879	5	21	a	a	DET
fis-1879	5	22	three	three	NUM
fis-1879	5	23	-	-	PUNCT
fis-1879	5	24	quarter	quarter	NOUN
fis-1879	5	25	-	-	PUNCT
fis-1879	5	26	infinite	infinite	ADJ
fis-1879	5	27	plane	plane	NOUN
fis-1879	5	28	(	(	PUNCT
fis-1879	5	29	corresponding	correspond	VERB
fis-1879	5	30	to	to	ADP
fis-1879	5	31	a	a	DET
fis-1879	5	32	90	90	NUM
fis-1879	5	33	degree	degree	NOUN
fis-1879	5	34	re	re	ADJ
fis-1879	5	35	-	-	NOUN
fis-1879	5	36	entrant	entrant	ADJ
fis-1879	5	37	corner	corner	NOUN
fis-1879	5	38	)	)	PUNCT
fis-1879	5	39	.	.	PUNCT
fis-1879	6	1	the	the	DET
fis-1879	6	2	crack	crack	NOUN
fis-1879	6	3	surfaces	surface	NOUN
fis-1879	6	4	are	be	AUX
fis-1879	6	5	assumed	assume	VERB
fis-1879	6	6	to	to	PART
fis-1879	6	7	be	be	AUX
fis-1879	6	8	globally	globally	ADV
fis-1879	6	9	smooth	smooth	ADJ
fis-1879	6	10	,	,	PUNCT
fis-1879	6	11	and	and	CCONJ
fis-1879	6	12	roughness	roughness	NOUN
fis-1879	6	13	and	and	CCONJ
fis-1879	6	14	friction	friction	NOUN
fis-1879	6	15	are	be	AUX
fis-1879	6	16	incorporated	incorporate	VERB
fis-1879	6	17	through	through	ADP
fis-1879	6	18	a	a	DET
fis-1879	6	19	constitutive	constitutive	ADJ
fis-1879	6	20	law	law	NOUN
fis-1879	6	21	between	between	ADP
fis-1879	6	22	opposite	opposite	ADJ
fis-1879	6	23	crack	crack	NOUN
fis-1879	6	24	surfaces	surface	NOUN
fis-1879	6	25	.	.	PUNCT
fis-1879	7	1	the	the	DET
fis-1879	7	2	solution	solution	NOUN
fis-1879	7	3	is	be	AUX
fis-1879	7	4	found	find	VERB
fis-1879	7	5	using	use	VERB
fis-1879	7	6	the	the	DET
fis-1879	7	7	distributed	distribute	VERB
fis-1879	7	8	dislocation	dislocation	NOUN
fis-1879	7	9	method	method	NOUN
fis-1879	7	10	,	,	PUNCT
fis-1879	7	11	and	and	CCONJ
fis-1879	7	12	an	an	DET
fis-1879	7	13	iterative	iterative	NOUN
fis-1879	7	14	algorithm	algorithm	NOUN
fis-1879	7	15	is	be	AUX
fis-1879	7	16	needed	need	VERB
fis-1879	7	17	due	due	ADP
fis-1879	7	18	to	to	ADP
fis-1879	7	19	the	the	DET
fis-1879	7	20	non	non	NOUN
fis-1879	7	21	-	-	NOUN
fis-1879	7	22	linearity	linearity	NOUN
fis-1879	7	23	of	of	ADP
fis-1879	7	24	the	the	DET
fis-1879	7	25	model	model	NOUN
fis-1879	7	26	.	.	PUNCT
fis-1879	8	1	the	the	DET
fis-1879	8	2	effect	effect	NOUN
fis-1879	8	3	of	of	ADP
fis-1879	8	4	friction	friction	NOUN
fis-1879	8	5	and	and	CCONJ
fis-1879	8	6	roughness	roughness	NOUN
fis-1879	8	7	angle	angle	NOUN
fis-1879	8	8	is	be	AUX
fis-1879	8	9	discussed	discuss	VERB
fis-1879	8	10	for	for	ADP
fis-1879	8	11	a	a	DET
fis-1879	8	12	simple	simple	ADJ
fis-1879	8	13	case	case	NOUN
fis-1879	8	14	.	.	PUNCT
fis-1879	9	1	keywords	keyword	NOUN
fis-1879	9	2	.	.	PUNCT
fis-1879	10	1	fracture	fracture	ADJ
fis-1879	10	2	toughness	toughness	NOUN
fis-1879	10	3	;	;	PUNCT
fis-1879	10	4	friction	friction	NOUN
fis-1879	10	5	;	;	PUNCT
fis-1879	10	6	roughness	roughness	NOUN
fis-1879	10	7	;	;	PUNCT
fis-1879	10	8	distributed	distribute	VERB
fis-1879	10	9	dislocation	dislocation	NOUN
fis-1879	10	10	method	method	NOUN
fis-1879	10	11	;	;	PUNCT
fis-1879	10	12	re	re	NOUN
fis-1879	10	13	-	-	NOUN
fis-1879	10	14	entrant	entrant	ADJ
fis-1879	10	15	corner	corner	NOUN
fis-1879	10	16	.	.	PUNCT
fis-1879	11	1	citation	citation	NOUN
fis-1879	11	2	:	:	PUNCT
fis-1879	12	1	carpinteri	carpinteri	NOUN
fis-1879	12	2	,	,	PUNCT
fis-1879	12	3	a.	a.	NOUN
fis-1879	12	4	,	,	PUNCT
fis-1879	12	5	spagnoli	spagnoli	PROPN
fis-1879	12	6	,	,	PUNCT
fis-1879	12	7	a.	a.	PROPN
fis-1879	12	8	,	,	PUNCT
fis-1879	12	9	terzano	terzano	PROPN
fis-1879	12	10	,	,	PUNCT
fis-1879	12	11	m.	m.	NOUN
fis-1879	12	12	,	,	PUNCT
fis-1879	12	13	vantadori	vantadori	PROPN
fis-1879	12	14	,	,	PUNCT
fis-1879	12	15	s.	s.	PROPN
fis-1879	12	16	,	,	PUNCT
fis-1879	12	17	fracture	fracture	ADJ
fis-1879	12	18	toughness	toughness	NOUN
fis-1879	12	19	of	of	ADP
fis-1879	12	20	rough	rough	ADJ
fis-1879	12	21	and	and	CCONJ
fis-1879	12	22	frictional	frictional	ADJ
fis-1879	12	23	cracks	crack	NOUN
fis-1879	12	24	emanating	emanate	VERB
fis-1879	12	25	from	from	ADP
fis-1879	12	26	a	a	DET
fis-1879	12	27	re	re	ADJ
fis-1879	12	28	-	-	NOUN
fis-1879	12	29	entrant	entrant	ADJ
fis-1879	12	30	corner	corner	NOUN
fis-1879	12	31	,	,	PUNCT
fis-1879	12	32	frattura	frattura	PROPN
fis-1879	12	33	ed	ed	PROPN
fis-1879	12	34	integrità	integrità	PROPN
fis-1879	12	35	strutturale	strutturale	PROPN
fis-1879	12	36	,	,	PUNCT
fis-1879	12	37	41	41	NUM
fis-1879	12	38	(	(	PUNCT
fis-1879	12	39	2017	2017	NUM
fis-1879	12	40	)	)	PUNCT
fis-1879	12	41	175	175	NUM
fis-1879	12	42	-	-	SYM
fis-1879	12	43	182	182	NUM
fis-1879	12	44	.	.	PUNCT
fis-1879	12	45	received	receive	VERB
fis-1879	12	46	:	:	PUNCT
fis-1879	12	47	28.02.2017	28.02.2017	NUM
fis-1879	12	48	accepted	accept	VERB
fis-1879	12	49	:	:	PUNCT
fis-1879	12	50	15.04.2017	15.04.2017	NUM
fis-1879	12	51	published	publish	VERB
fis-1879	12	52	:	:	PUNCT
fis-1879	12	53	01.07.2017	01.07.2017	NOUN
fis-1879	12	54	copyright	copyright	NOUN
fis-1879	12	55	:	:	PUNCT
fis-1879	12	56	©	©	PROPN
fis-1879	12	57	2017	2017	NUM
fis-1879	12	58	this	this	PRON
fis-1879	12	59	is	be	AUX
fis-1879	12	60	an	an	DET
fis-1879	12	61	open	open	ADJ
fis-1879	12	62	access	access	NOUN
fis-1879	12	63	article	article	NOUN
fis-1879	12	64	under	under	ADP
fis-1879	12	65	the	the	DET
fis-1879	12	66	terms	term	NOUN
fis-1879	12	67	of	of	ADP
fis-1879	12	68	the	the	DET
fis-1879	12	69	cc	cc	NOUN
fis-1879	12	70	-	-	PUNCT
fis-1879	12	71	by	by	ADP
fis-1879	12	72	4.0	4.0	NUM
fis-1879	12	73	,	,	PUNCT
fis-1879	12	74	which	which	PRON
fis-1879	12	75	permits	permit	VERB
fis-1879	12	76	unrestricted	unrestricted	ADJ
fis-1879	12	77	use	use	NOUN
fis-1879	12	78	,	,	PUNCT
fis-1879	12	79	distribution	distribution	NOUN
fis-1879	12	80	,	,	PUNCT
fis-1879	12	81	and	and	CCONJ
fis-1879	12	82	reproduction	reproduction	NOUN
fis-1879	12	83	in	in	ADP
fis-1879	12	84	any	any	DET
fis-1879	12	85	medium	medium	NOUN
fis-1879	12	86	,	,	PUNCT
fis-1879	12	87	provided	provide	VERB
fis-1879	12	88	the	the	DET
fis-1879	12	89	original	original	ADJ
fis-1879	12	90	author	author	NOUN
fis-1879	12	91	and	and	CCONJ
fis-1879	12	92	source	source	NOUN
fis-1879	12	93	are	be	AUX
fis-1879	12	94	credited	credit	VERB
fis-1879	12	95	.	.	PUNCT
fis-1879	13	1	introduction	introduction	NOUN
fis-1879	13	2	significant	significant	ADJ
fis-1879	13	3	part	part	NOUN
fis-1879	13	4	of	of	ADP
fis-1879	13	5	fracture	fracture	ADJ
fis-1879	13	6	mechanics	mechanic	NOUN
fis-1879	13	7	deals	deal	NOUN
fis-1879	13	8	with	with	ADP
fis-1879	13	9	the	the	DET
fis-1879	13	10	determination	determination	NOUN
fis-1879	13	11	of	of	ADP
fis-1879	13	12	stress	stress	NOUN
fis-1879	13	13	intensity	intensity	NOUN
fis-1879	13	14	factors	factor	NOUN
fis-1879	13	15	and	and	CCONJ
fis-1879	13	16	fracture	fracture	NOUN
fis-1879	13	17	toughness	toughness	NOUN
fis-1879	13	18	,	,	PUNCT
fis-1879	13	19	used	use	VERB
fis-1879	13	20	to	to	PART
fis-1879	13	21	predict	predict	VERB
fis-1879	13	22	the	the	DET
fis-1879	13	23	load	load	NOUN
fis-1879	13	24	as	as	ADV
fis-1879	13	25	well	well	ADV
fis-1879	13	26	as	as	ADP
fis-1879	13	27	the	the	DET
fis-1879	13	28	angle	angle	NOUN
fis-1879	13	29	of	of	ADP
fis-1879	13	30	crack	crack	NOUN
fis-1879	13	31	propagation	propagation	NOUN
fis-1879	13	32	.	.	PUNCT
fis-1879	14	1	a	a	DET
fis-1879	14	2	large	large	ADJ
fis-1879	14	3	number	number	NOUN
fis-1879	14	4	of	of	ADP
fis-1879	14	5	analyses	analysis	NOUN
fis-1879	14	6	has	have	AUX
fis-1879	14	7	been	be	AUX
fis-1879	14	8	carried	carry	VERB
fis-1879	14	9	out	out	ADP
fis-1879	14	10	,	,	PUNCT
fis-1879	14	11	and	and	CCONJ
fis-1879	14	12	stress	stress	NOUN
fis-1879	14	13	intensity	intensity	NOUN
fis-1879	14	14	factors	factor	NOUN
fis-1879	14	15	at	at	ADP
fis-1879	14	16	the	the	DET
fis-1879	14	17	crack	crack	NOUN
fis-1879	14	18	tips	tip	NOUN
fis-1879	14	19	are	be	AUX
fis-1879	14	20	available	available	ADJ
fis-1879	14	21	in	in	ADP
fis-1879	14	22	literature	literature	NOUN
fis-1879	14	23	,	,	PUNCT
fis-1879	14	24	for	for	ADP
fis-1879	14	25	instance	instance	NOUN
fis-1879	14	26	in	in	ADP
fis-1879	14	27	the	the	DET
fis-1879	14	28	compendium	compendium	NOUN
fis-1879	14	29	by	by	ADP
fis-1879	14	30	murakami	murakami	NOUN
fis-1879	15	1	[	[	X
fis-1879	15	2	1	1	NUM
fis-1879	15	3	]	]	PUNCT
fis-1879	15	4	.	.	PUNCT
fis-1879	16	1	a	a	DET
fis-1879	16	2	case	case	NOUN
fis-1879	16	3	of	of	ADP
fis-1879	16	4	interest	interest	NOUN
fis-1879	16	5	in	in	ADP
fis-1879	16	6	practical	practical	ADJ
fis-1879	16	7	applications	application	NOUN
fis-1879	16	8	is	be	AUX
fis-1879	16	9	that	that	PRON
fis-1879	16	10	of	of	ADP
fis-1879	16	11	a	a	DET
fis-1879	16	12	short	short	ADJ
fis-1879	16	13	crack	crack	NOUN
fis-1879	16	14	emanating	emanate	VERB
fis-1879	16	15	from	from	ADP
fis-1879	16	16	a	a	DET
fis-1879	16	17	re	re	ADJ
fis-1879	16	18	-	-	ADJ
fis-1879	16	19	entrant	entrant	ADJ
fis-1879	16	20	corner	corner	NOUN
fis-1879	16	21	in	in	ADP
fis-1879	16	22	a	a	DET
fis-1879	16	23	body	body	NOUN
fis-1879	16	24	under	under	ADP
fis-1879	16	25	general	general	ADJ
fis-1879	16	26	loading	loading	NOUN
fis-1879	16	27	conditions	condition	NOUN
fis-1879	16	28	,	,	PUNCT
fis-1879	16	29	where	where	SCONJ
fis-1879	16	30	often	often	ADV
fis-1879	16	31	multiple	multiple	ADJ
fis-1879	16	32	-	-	PUNCT
fis-1879	16	33	parameter	parameter	NOUN
fis-1879	16	34	characterization	characterization	NOUN
fis-1879	16	35	of	of	ADP
fis-1879	16	36	the	the	DET
fis-1879	16	37	crack	crack	VERB
fis-1879	16	38	/	/	SYM
fis-1879	16	39	notch	notch	NOUN
fis-1879	16	40	tip	tip	NOUN
fis-1879	16	41	stress	stress	NOUN
fis-1879	16	42	/	/	SYM
fis-1879	16	43	strain	strain	NOUN
fis-1879	16	44	field	field	NOUN
fis-1879	16	45	is	be	AUX
fis-1879	16	46	required	require	VERB
fis-1879	16	47	.	.	PUNCT
fis-1879	17	1	if	if	SCONJ
fis-1879	17	2	the	the	DET
fis-1879	17	3	crack	crack	NOUN
fis-1879	17	4	is	be	AUX
fis-1879	17	5	short	short	ADJ
fis-1879	17	6	compared	compare	VERB
fis-1879	17	7	to	to	ADP
fis-1879	17	8	the	the	DET
fis-1879	17	9	other	other	ADJ
fis-1879	17	10	sizes	size	NOUN
fis-1879	17	11	of	of	ADP
fis-1879	17	12	the	the	DET
fis-1879	17	13	body	body	NOUN
fis-1879	17	14	,	,	PUNCT
fis-1879	17	15	the	the	DET
fis-1879	17	16	effect	effect	NOUN
fis-1879	17	17	of	of	ADP
fis-1879	17	18	other	other	ADJ
fis-1879	17	19	free	free	ADJ
fis-1879	17	20	boundaries	boundary	NOUN
fis-1879	17	21	can	can	AUX
fis-1879	17	22	be	be	AUX
fis-1879	17	23	neglected	neglect	VERB
fis-1879	17	24	and	and	CCONJ
fis-1879	17	25	the	the	DET
fis-1879	17	26	loading	loading	NOUN
fis-1879	17	27	experienced	experience	VERB
fis-1879	17	28	by	by	ADP
fis-1879	17	29	the	the	DET
fis-1879	17	30	crack	crack	NOUN
fis-1879	17	31	in	in	ADP
fis-1879	17	32	this	this	DET
fis-1879	17	33	geometry	geometry	NOUN
fis-1879	17	34	is	be	AUX
fis-1879	17	35	well	well	ADV
fis-1879	17	36	described	describe	VERB
fis-1879	17	37	by	by	ADP
fis-1879	17	38	the	the	DET
fis-1879	17	39	williams	williams	PROPN
fis-1879	17	40	asymptotic	asymptotic	ADJ
fis-1879	17	41	solution	solution	NOUN
fis-1879	17	42	[	[	X
fis-1879	17	43	2	2	NUM
fis-1879	17	44	]	]	PUNCT
fis-1879	17	45	.	.	PUNCT
fis-1879	18	1	in	in	ADP
fis-1879	18	2	particular	particular	ADJ
fis-1879	18	3	,	,	PUNCT
fis-1879	18	4	the	the	DET
fis-1879	18	5	problem	problem	NOUN
fis-1879	18	6	of	of	ADP
fis-1879	18	7	a	a	DET
fis-1879	18	8	smooth	smooth	ADJ
fis-1879	18	9	and	and	CCONJ
fis-1879	18	10	frictionless	frictionless	NOUN
fis-1879	18	11	crack	crack	NOUN
fis-1879	18	12	lying	lie	VERB
fis-1879	18	13	on	on	ADP
fis-1879	18	14	the	the	DET
fis-1879	18	15	projection	projection	NOUN
fis-1879	18	16	line	line	NOUN
fis-1879	18	17	of	of	ADP
fis-1879	18	18	a	a	DET
fis-1879	18	19	a	a	DET
fis-1879	18	20	a.	a.	NOUN
fis-1879	18	21	carpinteri	carpinteri	NOUN
fis-1879	18	22	et	et	PROPN
fis-1879	18	23	alii	alii	PROPN
fis-1879	18	24	,	,	PUNCT
fis-1879	18	25	frattura	frattura	PROPN
fis-1879	18	26	ed	ed	PROPN
fis-1879	18	27	integrità	integrità	PROPN
fis-1879	18	28	strutturale	strutturale	PROPN
fis-1879	18	29	,	,	PUNCT
fis-1879	18	30	41	41	NUM
fis-1879	18	31	(	(	PUNCT
fis-1879	18	32	2017	2017	NUM
fis-1879	18	33	)	)	PUNCT
fis-1879	18	34	175	175	NUM
fis-1879	18	35	-	-	SYM
fis-1879	18	36	182	182	NUM
fis-1879	18	37	;	;	PUNCT
fis-1879	18	38	doi	doi	NOUN
fis-1879	18	39	:	:	PUNCT
fis-1879	18	40	10.3221	10.3221	NUM
fis-1879	18	41	/	/	SYM
fis-1879	18	42	igf	igf	NOUN
fis-1879	18	43	-	-	ADJ
fis-1879	18	44	esis.41.24	esis.41.24	PROPN
fis-1879	18	45	176	176	NUM
fis-1879	18	46	three	three	NUM
fis-1879	18	47	-	-	PUNCT
fis-1879	18	48	quarter	quarter	NOUN
fis-1879	18	49	-	-	PUNCT
fis-1879	18	50	infinite	infinite	ADJ
fis-1879	18	51	plane	plane	NOUN
fis-1879	18	52	(	(	PUNCT
fis-1879	18	53	fig	fig	NOUN
fis-1879	18	54	.	.	NOUN
fis-1879	18	55	1	1	NUM
fis-1879	18	56	)	)	PUNCT
fis-1879	18	57	has	have	AUX
fis-1879	18	58	been	be	AUX
fis-1879	18	59	solved	solve	VERB
fis-1879	18	60	by	by	ADP
fis-1879	18	61	churchmann	churchmann	PROPN
fis-1879	18	62	and	and	CCONJ
fis-1879	18	63	hills	hill	NOUN
fis-1879	19	1	[	[	X
fis-1879	19	2	3	3	NUM
fis-1879	19	3	]	]	PUNCT
fis-1879	19	4	,	,	PUNCT
fis-1879	19	5	by	by	ADP
fis-1879	19	6	applying	apply	VERB
fis-1879	19	7	a	a	DET
fis-1879	19	8	distribution	distribution	NOUN
fis-1879	19	9	of	of	ADP
fis-1879	19	10	dislocations	dislocation	NOUN
fis-1879	19	11	along	along	ADP
fis-1879	19	12	the	the	DET
fis-1879	19	13	line	line	NOUN
fis-1879	19	14	to	to	PART
fis-1879	19	15	clear	clear	VERB
fis-1879	19	16	the	the	DET
fis-1879	19	17	stresses	stress	NOUN
fis-1879	19	18	coming	come	VERB
fis-1879	19	19	from	from	ADP
fis-1879	19	20	the	the	DET
fis-1879	19	21	williams	williams	PROPN
fis-1879	19	22	asymptotic	asymptotic	ADJ
fis-1879	19	23	fields	field	NOUN
fis-1879	19	24	.	.	PUNCT
fis-1879	20	1	observing	observe	VERB
fis-1879	20	2	the	the	DET
fis-1879	20	3	cracks	crack	NOUN
fis-1879	20	4	in	in	ADP
fis-1879	20	5	many	many	ADJ
fis-1879	20	6	materials	material	NOUN
fis-1879	20	7	of	of	ADP
fis-1879	20	8	common	common	ADJ
fis-1879	20	9	use	use	NOUN
fis-1879	20	10	,	,	PUNCT
fis-1879	20	11	such	such	ADJ
fis-1879	20	12	as	as	ADP
fis-1879	20	13	concrete	concrete	ADJ
fis-1879	20	14	,	,	PUNCT
fis-1879	20	15	ceramic	ceramic	ADJ
fis-1879	20	16	or	or	CCONJ
fis-1879	20	17	rocks	rock	NOUN
fis-1879	20	18	,	,	PUNCT
fis-1879	20	19	it	it	PRON
fis-1879	20	20	can	can	AUX
fis-1879	20	21	be	be	AUX
fis-1879	20	22	noted	note	VERB
fis-1879	20	23	that	that	SCONJ
fis-1879	20	24	the	the	DET
fis-1879	20	25	crack	crack	NOUN
fis-1879	20	26	surfaces	surface	NOUN
fis-1879	20	27	are	be	AUX
fis-1879	20	28	not	not	PART
fis-1879	20	29	smooth	smooth	ADJ
fis-1879	20	30	but	but	CCONJ
fis-1879	20	31	typically	typically	ADV
fis-1879	20	32	present	present	VERB
fis-1879	20	33	a	a	DET
fis-1879	20	34	certain	certain	ADJ
fis-1879	20	35	degree	degree	NOUN
fis-1879	20	36	of	of	ADP
fis-1879	20	37	tortuosity	tortuosity	NOUN
fis-1879	20	38	[	[	X
fis-1879	20	39	4,5	4,5	NUM
fis-1879	20	40	]	]	PUNCT
fis-1879	20	41	.	.	PUNCT
fis-1879	21	1	in	in	ADP
fis-1879	21	2	this	this	DET
fis-1879	21	3	case	case	NOUN
fis-1879	21	4	,	,	PUNCT
fis-1879	21	5	the	the	DET
fis-1879	21	6	assumption	assumption	NOUN
fis-1879	21	7	of	of	ADP
fis-1879	21	8	smooth	smooth	ADJ
fis-1879	21	9	surfaces	surface	NOUN
fis-1879	21	10	,	,	PUNCT
fis-1879	21	11	which	which	PRON
fis-1879	21	12	is	be	AUX
fis-1879	21	13	commonly	commonly	ADV
fis-1879	21	14	made	make	VERB
fis-1879	21	15	in	in	ADP
fis-1879	21	16	fracture	fracture	NOUN
fis-1879	21	17	mechanics	mechanic	NOUN
fis-1879	21	18	,	,	PUNCT
fis-1879	21	19	is	be	AUX
fis-1879	21	20	acceptable	acceptable	ADJ
fis-1879	21	21	only	only	ADV
fis-1879	21	22	when	when	SCONJ
fis-1879	21	23	a	a	DET
fis-1879	21	24	pure	pure	ADJ
fis-1879	21	25	mode	mode	NOUN
fis-1879	21	26	i	i	PRON
fis-1879	21	27	loading	loading	NOUN
fis-1879	21	28	occurs	occur	VERB
fis-1879	21	29	,	,	PUNCT
fis-1879	21	30	while	while	SCONJ
fis-1879	21	31	the	the	DET
fis-1879	21	32	effects	effect	NOUN
fis-1879	21	33	of	of	ADP
fis-1879	21	34	roughness	roughness	NOUN
fis-1879	21	35	and	and	CCONJ
fis-1879	21	36	friction	friction	NOUN
fis-1879	21	37	can	can	AUX
fis-1879	21	38	not	not	PART
fis-1879	21	39	be	be	AUX
fis-1879	21	40	neglected	neglect	VERB
fis-1879	21	41	for	for	ADP
fis-1879	21	42	mode	mode	PROPN
fis-1879	21	43	ii	ii	PROPN
fis-1879	21	44	or	or	CCONJ
fis-1879	21	45	mixed	mixed	ADJ
fis-1879	21	46	mode	mode	NOUN
fis-1879	21	47	loadings	loading	NOUN
fis-1879	22	1	[	[	X
fis-1879	22	2	6	6	NUM
fis-1879	22	3	]	]	PUNCT
fis-1879	22	4	,	,	PUNCT
fis-1879	22	5	since	since	SCONJ
fis-1879	22	6	the	the	DET
fis-1879	22	7	normal	normal	ADJ
fis-1879	22	8	and	and	CCONJ
fis-1879	22	9	tangential	tangential	ADJ
fis-1879	22	10	displacements	displacement	NOUN
fis-1879	22	11	of	of	ADP
fis-1879	22	12	a	a	DET
fis-1879	22	13	point	point	NOUN
fis-1879	22	14	along	along	ADP
fis-1879	22	15	the	the	DET
fis-1879	22	16	crack	crack	NOUN
fis-1879	22	17	are	be	AUX
fis-1879	22	18	always	always	ADV
fis-1879	22	19	coupled	couple	VERB
fis-1879	22	20	.	.	PUNCT
fis-1879	23	1	we	we	PRON
fis-1879	23	2	can	can	AUX
fis-1879	23	3	note	note	VERB
fis-1879	23	4	that	that	SCONJ
fis-1879	23	5	this	this	PRON
fis-1879	23	6	is	be	AUX
fis-1879	23	7	precisely	precisely	ADV
fis-1879	23	8	the	the	DET
fis-1879	23	9	case	case	NOUN
fis-1879	23	10	of	of	ADP
fis-1879	23	11	the	the	DET
fis-1879	23	12	crack	crack	NOUN
fis-1879	23	13	lying	lie	VERB
fis-1879	23	14	on	on	ADP
fis-1879	23	15	the	the	DET
fis-1879	23	16	projection	projection	NOUN
fis-1879	23	17	line	line	NOUN
fis-1879	23	18	of	of	ADP
fis-1879	23	19	a	a	DET
fis-1879	23	20	three	three	NUM
fis-1879	23	21	-	-	PUNCT
fis-1879	23	22	quarter	quarter	NOUN
fis-1879	23	23	plane	plane	NOUN
fis-1879	23	24	,	,	PUNCT
fis-1879	23	25	because	because	SCONJ
fis-1879	23	26	the	the	DET
fis-1879	23	27	asymptotic	asymptotic	ADJ
fis-1879	23	28	stress	stress	NOUN
fis-1879	23	29	fields	field	NOUN
fis-1879	23	30	are	be	AUX
fis-1879	23	31	uncoupled	uncoupled	ADJ
fis-1879	23	32	along	along	ADP
fis-1879	23	33	the	the	DET
fis-1879	23	34	bisector	bisector	NOUN
fis-1879	23	35	of	of	ADP
fis-1879	23	36	the	the	DET
fis-1879	23	37	re	re	ADJ
fis-1879	23	38	-	-	ADJ
fis-1879	23	39	entrant	entrant	ADJ
fis-1879	23	40	corner	corner	NOUN
fis-1879	24	1	but	but	CCONJ
fis-1879	24	2	we	we	PRON
fis-1879	24	3	always	always	ADV
fis-1879	24	4	have	have	VERB
fis-1879	24	5	mixed	mixed	ADJ
fis-1879	24	6	mode	mode	NOUN
fis-1879	24	7	loading	loading	NOUN
fis-1879	24	8	on	on	ADP
fis-1879	24	9	the	the	DET
fis-1879	24	10	projection	projection	NOUN
fis-1879	24	11	line	line	NOUN
fis-1879	24	12	.	.	PUNCT
fis-1879	25	1	a	a	DET
fis-1879	25	2	simple	simple	ADJ
fis-1879	25	3	way	way	NOUN
fis-1879	25	4	to	to	PART
fis-1879	25	5	take	take	VERB
fis-1879	25	6	into	into	ADP
fis-1879	25	7	account	account	NOUN
fis-1879	25	8	the	the	DET
fis-1879	25	9	effects	effect	NOUN
fis-1879	25	10	of	of	ADP
fis-1879	25	11	friction	friction	NOUN
fis-1879	25	12	and	and	CCONJ
fis-1879	25	13	roughness	roughness	NOUN
fis-1879	25	14	is	be	AUX
fis-1879	25	15	to	to	PART
fis-1879	25	16	assume	assume	VERB
fis-1879	25	17	the	the	DET
fis-1879	25	18	crack	crack	NOUN
fis-1879	25	19	surfaces	surface	NOUN
fis-1879	25	20	as	as	ADP
fis-1879	25	21	globally	globally	ADV
fis-1879	25	22	smooth	smooth	ADJ
fis-1879	25	23	and	and	CCONJ
fis-1879	25	24	introduce	introduce	VERB
fis-1879	25	25	the	the	DET
fis-1879	25	26	normal	normal	ADJ
fis-1879	25	27	-	-	PUNCT
fis-1879	25	28	tangential	tangential	ADJ
fis-1879	25	29	coupling	coupling	NOUN
fis-1879	25	30	along	along	ADP
fis-1879	25	31	the	the	DET
fis-1879	25	32	contact	contact	NOUN
fis-1879	25	33	surfaces	surface	NOUN
fis-1879	25	34	,	,	PUNCT
fis-1879	25	35	the	the	DET
fis-1879	25	36	so	so	ADV
fis-1879	25	37	called	call	VERB
fis-1879	25	38	dilatancy	dilatancy	PROPN
fis-1879	25	39	,	,	PUNCT
fis-1879	25	40	through	through	ADP
fis-1879	25	41	a	a	DET
fis-1879	25	42	rigid	rigid	ADJ
fis-1879	25	43	-	-	PUNCT
fis-1879	25	44	plastic	plastic	NOUN
fis-1879	25	45	constitutive	constitutive	ADJ
fis-1879	25	46	law	law	NOUN
fis-1879	26	1	[	[	X
fis-1879	26	2	7	7	NUM
fis-1879	26	3	]	]	PUNCT
fis-1879	26	4	,	,	PUNCT
fis-1879	26	5	described	describe	VERB
fis-1879	26	6	by	by	ADP
fis-1879	26	7	a	a	DET
fis-1879	26	8	slip	slip	NOUN
fis-1879	26	9	rule	rule	NOUN
fis-1879	26	10	and	and	CCONJ
fis-1879	26	11	a	a	DET
fis-1879	26	12	slip	slip	NOUN
fis-1879	26	13	potential	potential	NOUN
fis-1879	26	14	.	.	PUNCT
fis-1879	27	1	the	the	DET
fis-1879	27	2	presence	presence	NOUN
fis-1879	27	3	of	of	ADP
fis-1879	27	4	friction	friction	NOUN
fis-1879	27	5	and	and	CCONJ
fis-1879	27	6	roughness	roughness	NOUN
fis-1879	27	7	gives	give	VERB
fis-1879	27	8	rise	rise	NOUN
fis-1879	27	9	to	to	ADP
fis-1879	27	10	a	a	DET
fis-1879	27	11	stress	stress	NOUN
fis-1879	27	12	state	state	NOUN
fis-1879	27	13	on	on	ADP
fis-1879	27	14	the	the	DET
fis-1879	27	15	crack	crack	NOUN
fis-1879	27	16	surfaces	surface	NOUN
fis-1879	27	17	which	which	PRON
fis-1879	27	18	is	be	AUX
fis-1879	27	19	dependent	dependent	ADJ
fis-1879	27	20	on	on	ADP
fis-1879	27	21	the	the	DET
fis-1879	27	22	relative	relative	ADJ
fis-1879	27	23	displacements	displacement	NOUN
fis-1879	27	24	between	between	ADP
fis-1879	27	25	opposing	oppose	VERB
fis-1879	27	26	points	point	NOUN
fis-1879	27	27	of	of	ADP
fis-1879	27	28	the	the	DET
fis-1879	27	29	crack	crack	NOUN
fis-1879	27	30	,	,	PUNCT
fis-1879	27	31	thus	thus	ADV
fis-1879	27	32	the	the	DET
fis-1879	27	33	resulting	result	VERB
fis-1879	27	34	problem	problem	NOUN
fis-1879	27	35	is	be	AUX
fis-1879	27	36	non	non	ADJ
fis-1879	27	37	-	-	ADJ
fis-1879	27	38	linear	linear	ADJ
fis-1879	27	39	.	.	PUNCT
fis-1879	28	1	the	the	DET
fis-1879	28	2	behaviour	behaviour	NOUN
fis-1879	28	3	of	of	ADP
fis-1879	28	4	smooth	smooth	ADJ
fis-1879	28	5	frictional	frictional	ADJ
fis-1879	28	6	cracks	crack	NOUN
fis-1879	28	7	under	under	ADP
fis-1879	28	8	cyclic	cyclic	ADJ
fis-1879	28	9	loading	loading	NOUN
fis-1879	28	10	has	have	AUX
fis-1879	28	11	been	be	AUX
fis-1879	28	12	for	for	ADP
fis-1879	28	13	instance	instance	NOUN
fis-1879	28	14	investigated	investigate	VERB
fis-1879	28	15	in	in	ADP
fis-1879	28	16	[	[	X
fis-1879	28	17	8	8	NUM
fis-1879	28	18	]	]	PUNCT
fis-1879	28	19	,	,	PUNCT
fis-1879	28	20	with	with	ADP
fis-1879	28	21	particular	particular	ADJ
fis-1879	28	22	focus	focus	NOUN
fis-1879	28	23	on	on	ADP
fis-1879	28	24	the	the	DET
fis-1879	28	25	conditions	condition	NOUN
fis-1879	28	26	of	of	ADP
fis-1879	28	27	adaptation	adaptation	NOUN
fis-1879	28	28	whereas	whereas	SCONJ
fis-1879	28	29	shakedown	shakedown	NOUN
fis-1879	28	30	analysis	analysis	NOUN
fis-1879	28	31	for	for	ADP
fis-1879	28	32	discrete	discrete	ADJ
fis-1879	28	33	systems	system	NOUN
fis-1879	28	34	involving	involve	VERB
fis-1879	28	35	both	both	DET
fis-1879	28	36	friction	friction	NOUN
fis-1879	28	37	and	and	CCONJ
fis-1879	28	38	plasticity	plasticity	NOUN
fis-1879	28	39	has	have	AUX
fis-1879	28	40	more	more	ADV
fis-1879	28	41	recently	recently	ADV
fis-1879	28	42	been	be	AUX
fis-1879	28	43	studied	study	VERB
fis-1879	28	44	in	in	ADP
fis-1879	28	45	a	a	DET
fis-1879	28	46	very	very	ADV
fis-1879	28	47	general	general	ADJ
fis-1879	28	48	form	form	NOUN
fis-1879	28	49	in	in	ADP
fis-1879	28	50	[	[	X
fis-1879	28	51	9	9	NUM
fis-1879	28	52	]	]	PUNCT
fis-1879	28	53	.	.	PUNCT
fis-1879	29	1	in	in	ADP
fis-1879	29	2	this	this	DET
fis-1879	29	3	paper	paper	NOUN
fis-1879	29	4	,	,	PUNCT
fis-1879	29	5	the	the	DET
fis-1879	29	6	effect	effect	NOUN
fis-1879	29	7	of	of	ADP
fis-1879	29	8	roughness	roughness	NOUN
fis-1879	29	9	and	and	CCONJ
fis-1879	29	10	friction	friction	NOUN
fis-1879	29	11	is	be	AUX
fis-1879	29	12	taken	take	VERB
fis-1879	29	13	into	into	ADP
fis-1879	29	14	account	account	NOUN
fis-1879	29	15	for	for	ADP
fis-1879	29	16	a	a	DET
fis-1879	29	17	crack	crack	NOUN
fis-1879	29	18	emanating	emanate	VERB
fis-1879	29	19	from	from	ADP
fis-1879	29	20	a	a	DET
fis-1879	29	21	three	three	NUM
fis-1879	29	22	-	-	PUNCT
fis-1879	29	23	quarter	quarter	NOUN
fis-1879	29	24	-	-	PUNCT
fis-1879	29	25	infinite	infinite	ADJ
fis-1879	29	26	plane	plane	NOUN
fis-1879	29	27	(	(	PUNCT
fis-1879	29	28	fig	fig	NOUN
fis-1879	29	29	.	.	NOUN
fis-1879	29	30	1	1	NUM
fis-1879	29	31	)	)	PUNCT
fis-1879	29	32	and	and	CCONJ
fis-1879	29	33	the	the	DET
fis-1879	29	34	resulting	result	VERB
fis-1879	29	35	non	non	ADJ
fis-1879	29	36	-	-	ADJ
fis-1879	29	37	linear	linear	ADJ
fis-1879	29	38	problem	problem	NOUN
fis-1879	29	39	is	be	AUX
fis-1879	29	40	solved	solve	VERB
fis-1879	29	41	using	use	VERB
fis-1879	29	42	the	the	DET
fis-1879	29	43	iterative	iterative	ADJ
fis-1879	29	44	algorithm	algorithm	NOUN
fis-1879	29	45	introduced	introduce	VERB
fis-1879	29	46	in	in	ADP
fis-1879	29	47	[	[	X
fis-1879	29	48	6	6	NUM
fis-1879	29	49	]	]	PUNCT
fis-1879	29	50	.	.	PUNCT
fis-1879	30	1	stress	stress	NOUN
fis-1879	30	2	intensity	intensity	NOUN
fis-1879	30	3	factors	factor	NOUN
fis-1879	30	4	are	be	AUX
fis-1879	30	5	computed	compute	VERB
fis-1879	30	6	for	for	ADP
fis-1879	30	7	different	different	ADJ
fis-1879	30	8	values	value	NOUN
fis-1879	30	9	of	of	ADP
fis-1879	30	10	the	the	DET
fis-1879	30	11	coefficient	coefficient	NOUN
fis-1879	30	12	of	of	ADP
fis-1879	30	13	friction	friction	NOUN
fis-1879	30	14	and	and	CCONJ
fis-1879	30	15	the	the	DET
fis-1879	30	16	roughness	roughness	NOUN
fis-1879	30	17	angle	angle	NOUN
fis-1879	30	18	.	.	PUNCT
fis-1879	31	1	figure	figure	NOUN
fis-1879	31	2	1	1	NUM
fis-1879	31	3	:	:	PUNCT
fis-1879	31	4	sketch	sketch	NOUN
fis-1879	31	5	of	of	ADP
fis-1879	31	6	the	the	DET
fis-1879	31	7	considered	consider	VERB
fis-1879	31	8	problem	problem	NOUN
fis-1879	31	9	.	.	PUNCT
fis-1879	32	1	a	a	DET
fis-1879	32	2	short	short	ADJ
fis-1879	32	3	crack	crack	NOUN
fis-1879	32	4	c	c	NOUN
fis-1879	32	5	≪	≪	VERB
fis-1879	32	6	a	a	PRON
fis-1879	32	7	is	be	AUX
fis-1879	32	8	present	present	ADJ
fis-1879	32	9	along	along	ADP
fis-1879	32	10	the	the	DET
fis-1879	32	11	projection	projection	NOUN
fis-1879	32	12	line	line	NOUN
fis-1879	32	13	of	of	ADP
fis-1879	32	14	a	a	DET
fis-1879	32	15	three	three	NUM
fis-1879	32	16	quarter	quarter	NOUN
fis-1879	32	17	plane	plane	NOUN
fis-1879	32	18	.	.	PUNCT
fis-1879	33	1	resultants	resultant	NOUN
fis-1879	33	2	of	of	ADP
fis-1879	33	3	applied	apply	VERB
fis-1879	33	4	external	external	ADJ
fis-1879	33	5	loads	load	NOUN
fis-1879	33	6	are	be	AUX
fis-1879	33	7	also	also	ADV
fis-1879	33	8	shown	show	VERB
fis-1879	33	9	.	.	PUNCT
fis-1879	34	1	formulation	formulation	NOUN
fis-1879	34	2	crack	crack	NOUN
fis-1879	34	3	problem	problem	NOUN
fis-1879	34	4	solution	solution	NOUN
fis-1879	34	5	he	he	PRON
fis-1879	34	6	williams	william	VERB
fis-1879	34	7	asymptotic	asymptotic	ADJ
fis-1879	34	8	solution	solution	NOUN
fis-1879	34	9	is	be	AUX
fis-1879	34	10	described	describe	VERB
fis-1879	34	11	by	by	ADP
fis-1879	34	12	two	two	NUM
fis-1879	34	13	eigenvalues	eigenvalue	NOUN
fis-1879	34	14	i	i	PRON
fis-1879	34	15	,	,	PUNCT
fis-1879	34	16	ii	ii	PROPN
fis-1879	34	17	(	(	PUNCT
fis-1879	34	18	which	which	PRON
fis-1879	34	19	define	define	VERB
fis-1879	34	20	the	the	DET
fis-1879	34	21	singularities	singularity	NOUN
fis-1879	34	22	of	of	ADP
fis-1879	34	23	mode	mode	NOUN
fis-1879	34	24	i	i	PRON
fis-1879	34	25	and	and	CCONJ
fis-1879	34	26	mode	mode	PROPN
fis-1879	34	27	ii	ii	PROPN
fis-1879	34	28	stress	stress	NOUN
fis-1879	34	29	fields	field	NOUN
fis-1879	34	30	,	,	PUNCT
fis-1879	34	31	respectively	respectively	ADV
fis-1879	34	32	)	)	PUNCT
fis-1879	34	33	,	,	PUNCT
fis-1879	34	34	and	and	CCONJ
fis-1879	34	35	the	the	DET
fis-1879	34	36	distribution	distribution	NOUN
fis-1879	34	37	of	of	ADP
fis-1879	34	38	stresses	stress	NOUN
fis-1879	34	39	resulting	result	VERB
fis-1879	34	40	from	from	ADP
fis-1879	34	41	the	the	DET
fis-1879	34	42	two	two	NUM
fis-1879	34	43	eigenfunctions	eigenfunction	NOUN
fis-1879	34	44	evaluated	evaluate	VERB
fis-1879	34	45	along	along	ADP
fis-1879	34	46	the	the	DET
fis-1879	34	47	crack	crack	NOUN
fis-1879	34	48	line	line	NOUN
fis-1879	34	49	:	:	PUNCT
fis-1879	34	50			ADJ
fis-1879	34	51			ADJ
fis-1879	34	52			PROPN
fis-1879	34	53			PROPN
fis-1879	34	54			PROPN
fis-1879	34	55			ADJ
fis-1879	34	56			NOUN
fis-1879	34	57			PROPN
fis-1879	34	58			VERB
fis-1879	34	59			PROPN
fis-1879	34	60			PROPN
fis-1879	34	61			VERB
fis-1879	34	62			PROPN
fis-1879	34	63			PROPN
fis-1879	34	64			PRON
fis-1879	34	65			ADV
fis-1879	34	66			PROPN
fis-1879	34	67			ADJ
fis-1879	34	68	0	0	NUM
fis-1879	34	69	1	1	NUM
fis-1879	34	70	0	0	NUM
fis-1879	34	71	1	1	NUM
fis-1879	34	72	0	0	NUM
fis-1879	34	73	1	1	NUM
fis-1879	34	74	0	0	NUM
fis-1879	34	75	1	1	NUM
fis-1879	34	76	(	(	PUNCT
fis-1879	34	77	)	)	PUNCT
fis-1879	34	78	(	(	PUNCT
fis-1879	34	79	)	)	PUNCT
fis-1879	34	80	i	i	PRON
fis-1879	35	1	iii	iii	VERB
fis-1879	35	2	ii	ii	NOUN
fis-1879	36	1	i	i	NOUN
fis-1879	36	2	r	r	NOUN
fis-1879	36	3	ii	ii	NOUN
fis-1879	36	4	r	r	NOUN
fis-1879	37	1	i	i	NOUN
fis-1879	37	2	ii	ii	VERB
fis-1879	38	1	i	i	NOUN
fis-1879	38	2	ii	ii	VERB
fis-1879	38	3	x	x	VERB
fis-1879	39	1	k	k	NOUN
fis-1879	39	2	g	g	NOUN
fis-1879	39	3	x	x	X
fis-1879	40	1	k	k	NOUN
fis-1879	40	2	g	g	NOUN
fis-1879	40	3	x	x	X
fis-1879	40	4	x	x	X
fis-1879	41	1	k	k	NOUN
fis-1879	41	2	x	x	X
fis-1879	41	3	k	k	NOUN
fis-1879	41	4	x	x	X
fis-1879	41	5	(	(	PUNCT
fis-1879	41	6	1	1	X
fis-1879	41	7	)	)	PUNCT
fis-1879	41	8	t	t	NOUN
fis-1879	41	9	a.	a.	NOUN
fis-1879	41	10	carpinteri	carpinteri	PROPN
fis-1879	41	11	et	et	PROPN
fis-1879	41	12	alii	alii	PROPN
fis-1879	41	13	,	,	PUNCT
fis-1879	41	14	frattura	frattura	PROPN
fis-1879	41	15	ed	ed	PROPN
fis-1879	41	16	integrità	integrità	PROPN
fis-1879	41	17	strutturale	strutturale	PROPN
fis-1879	41	18	,	,	PUNCT
fis-1879	41	19	41	41	NUM
fis-1879	41	20	(	(	PUNCT
fis-1879	41	21	2017	2017	NUM
fis-1879	41	22	)	)	PUNCT
fis-1879	41	23	175	175	NUM
fis-1879	41	24	-	-	SYM
fis-1879	41	25	182	182	NUM
fis-1879	41	26	;	;	PUNCT
fis-1879	41	27	doi	doi	NOUN
fis-1879	41	28	:	:	PUNCT
fis-1879	41	29	10.3221	10.3221	NUM
fis-1879	41	30	/	/	SYM
fis-1879	41	31	igf	igf	NOUN
fis-1879	41	32	-	-	ADJ
fis-1879	41	33	esis.41.24	esis.41.24	PROPN
fis-1879	41	34	177	177	NUM
fis-1879	41	35	for	for	ADP
fis-1879	41	36	the	the	DET
fis-1879	41	37	considered	consider	VERB
fis-1879	41	38	geometry	geometry	NOUN
fis-1879	41	39	,	,	PUNCT
fis-1879	41	40	the	the	DET
fis-1879	41	41	internal	internal	ADJ
fis-1879	41	42	wedge	wedge	NOUN
fis-1879	41	43	angle	angle	NOUN
fis-1879	41	44	is	be	AUX
fis-1879	41	45	2	2	NUM
fis-1879	41	46	=	=	SYM
fis-1879	41	47	3/2	3/2	NUM
fis-1879	41	48	and	and	CCONJ
fis-1879	41	49	the	the	DET
fis-1879	41	50	angle	angle	NOUN
fis-1879	41	51	corresponding	correspond	VERB
fis-1879	41	52	to	to	ADP
fis-1879	41	53	the	the	DET
fis-1879	41	54	line	line	NOUN
fis-1879	41	55	of	of	ADP
fis-1879	41	56	the	the	DET
fis-1879	41	57	crack	crack	NOUN
fis-1879	41	58	is	be	AUX
fis-1879	41	59	=	=	ADJ
fis-1879	41	60	/4	/4	NOUN
fis-1879	41	61	.	.	PUNCT
fis-1879	42	1	therefore	therefore	ADV
fis-1879	42	2	we	we	PRON
fis-1879	42	3	have	have	VERB
fis-1879	42	4	:	:	PUNCT
fis-1879	42	5			PROPN
fis-1879	42	6			PROPN
fis-1879	42	7			PROPN
fis-1879	42	8			PROPN
fis-1879	42	9			PROPN
fis-1879	43	1			PROPN
fis-1879	43	2			PROPN
fis-1879	43	3			NOUN
fis-1879	43	4			NOUN
fis-1879	43	5			NUM
fis-1879	43	6	0	0	ADJ
fis-1879	43	7	0	0	NUM
fis-1879	43	8	0.5445	0.5445	NUM
fis-1879	43	9	,	,	PUNCT
fis-1879	43	10	0.9085	0.9085	NUM
fis-1879	43	11	0.543	0.543	NUM
fis-1879	43	12	,	,	PUNCT
fis-1879	43	13	0.219	0.219	NUM
fis-1879	43	14	0.7304	0.7304	NUM
fis-1879	43	15	,	,	PUNCT
fis-1879	43	16	1.087	1.087	NUM
fis-1879	43	17	i	i	NUM
fis-1879	43	18	ii	ii	NOUN
fis-1879	44	1	i	i	NOUN
fis-1879	44	2	ii	ii	VERB
fis-1879	45	1	r	r	NOUN
fis-1879	45	2	r	r	NOUN
fis-1879	46	1	i	i	PRON
fis-1879	47	1	i	i	PROPN
fis-1879	47	2	ii	ii	VERB
fis-1879	47	3	ii	ii	PROPN
fis-1879	47	4	g	g	PROPN
fis-1879	48	1	g	g	PROPN
fis-1879	48	2	k	k	PROPN
fis-1879	48	3	k	k	PROPN
fis-1879	48	4	k	k	PROPN
fis-1879	48	5	k	k	X
fis-1879	48	6	(	(	PUNCT
fis-1879	48	7	2	2	NUM
fis-1879	48	8	)	)	PUNCT
fis-1879	48	9	where	where	SCONJ
fis-1879	48	10	ki0	ki0	NOUN
fis-1879	48	11	,	,	PUNCT
fis-1879	48	12	kii0	kii0	PROPN
fis-1879	48	13	are	be	AUX
fis-1879	48	14	simply	simply	ADV
fis-1879	48	15	scaled	scale	VERB
fis-1879	48	16	versions	version	NOUN
fis-1879	48	17	of	of	ADP
fis-1879	48	18	the	the	DET
fis-1879	48	19	mode	mode	NOUN
fis-1879	49	1	i	i	PRON
fis-1879	49	2	and	and	CCONJ
fis-1879	49	3	mode	mode	PROPN
fis-1879	49	4	ii	ii	PROPN
fis-1879	49	5	notch	notch	NOUN
fis-1879	49	6	stress	stress	NOUN
fis-1879	49	7	intensity	intensity	NOUN
fis-1879	49	8	factors	factor	NOUN
fis-1879	49	9	ki	ki	PROPN
fis-1879	49	10	,	,	PUNCT
fis-1879	49	11	kii	kii	PROPN
fis-1879	49	12	,	,	PUNCT
fis-1879	49	13	obtained	obtain	VERB
fis-1879	49	14	from	from	ADP
fis-1879	49	15	a	a	DET
fis-1879	49	16	calibration	calibration	NOUN
fis-1879	49	17	with	with	ADP
fis-1879	49	18	the	the	DET
fis-1879	49	19	finite	finite	ADJ
fis-1879	49	20	element	element	NOUN
fis-1879	49	21	method	method	NOUN
fis-1879	49	22	.	.	PUNCT
fis-1879	50	1	let	let	VERB
fis-1879	50	2	us	we	PRON
fis-1879	50	3	consider	consider	VERB
fis-1879	50	4	the	the	DET
fis-1879	50	5	crack	crack	NOUN
fis-1879	50	6	to	to	PART
fis-1879	50	7	be	be	AUX
fis-1879	50	8	of	of	ADP
fis-1879	50	9	length	length	NOUN
fis-1879	50	10	c	c	PROPN
fis-1879	50	11	≪	≪	PUNCT
fis-1879	50	12	a	a	PRON
fis-1879	50	13	and	and	CCONJ
fis-1879	50	14	lying	lie	VERB
fis-1879	50	15	along	along	ADP
fis-1879	50	16	the	the	DET
fis-1879	50	17	x	x	NOUN
fis-1879	50	18	-	-	NOUN
fis-1879	50	19	axis	axis	ADJ
fis-1879	50	20	.	.	PUNCT
fis-1879	51	1	a	a	DET
fis-1879	51	2	distribution	distribution	NOUN
fis-1879	51	3	of	of	ADP
fis-1879	51	4	edge	edge	NOUN
fis-1879	51	5	dislocations	dislocation	NOUN
fis-1879	51	6	of	of	ADP
fis-1879	51	7	densities	density	NOUN
fis-1879	51	8	bx	bx	X
fis-1879	51	9	,	,	PUNCT
fis-1879	51	10	by	by	ADP
fis-1879	51	11	is	be	AUX
fis-1879	51	12	added	add	VERB
fis-1879	51	13	,	,	PUNCT
fis-1879	51	14	so	so	SCONJ
fis-1879	51	15	that	that	SCONJ
fis-1879	51	16	the	the	DET
fis-1879	51	17	resulting	result	VERB
fis-1879	51	18	integral	integral	ADJ
fis-1879	51	19	equations	equation	NOUN
fis-1879	51	20	which	which	PRON
fis-1879	51	21	govern	govern	VERB
fis-1879	51	22	the	the	DET
fis-1879	51	23	problem	problem	NOUN
fis-1879	51	24	are	be	AUX
fis-1879	51	25	the	the	DET
fis-1879	51	26	following	following	NOUN
fis-1879	51	27	:	:	PUNCT
fis-1879	51	28			ADP
fis-1879	51	29			NOUN
fis-1879	51	30			NOUN
fis-1879	51	31			NOUN
fis-1879	51	32			PUNCT
fis-1879	51	33			NOUN
fis-1879	52	1			NOUN
fis-1879	52	2			NOUN
fis-1879	52	3			NOUN
fis-1879	52	4			NOUN
fis-1879	52	5			X
fis-1879	52	6			PROPN
fis-1879	52	7			ADJ
fis-1879	52	8			PROPN
fis-1879	52	9			NUM
fis-1879	52	10			PROPN
fis-1879	52	11			PROPN
fis-1879	52	12			PROPN
fis-1879	52	13			PROPN
fis-1879	52	14			PROPN
fis-1879	52	15			PROPN
fis-1879	52	16			PROPN
fis-1879	52	17			PROPN
fis-1879	52	18			VERB
fis-1879	52	19			PUNCT
fis-1879	52	20			PROPN
fis-1879	52	21	0	0	SYM
fis-1879	52	22	0	0	NUM
fis-1879	53	1	(	(	PUNCT
fis-1879	53	2	1	1	NUM
fis-1879	53	3	(	(	PUNCT
fis-1879	53	4	)	)	PUNCT
fis-1879	53	5	(	(	PUNCT
fis-1879	53	6	,	,	PUNCT
fis-1879	53	7	)	)	PUNCT
fis-1879	53	8	(	(	PUNCT
fis-1879	53	9	)	)	PUNCT
fis-1879	53	10	(	(	PUNCT
fis-1879	53	11	,	,	PUNCT
fis-1879	53	12	)	)	PUNCT
fis-1879	53	13	)	)	PUNCT
fis-1879	54	1	(	(	PUNCT
fis-1879	54	2	1	1	NUM
fis-1879	54	3	(	(	PUNCT
fis-1879	54	4	)	)	PUNCT
fis-1879	54	5	)	)	PUNCT
fis-1879	54	6	2	2	NUM
fis-1879	54	7	c	c	NOUN
fis-1879	54	8	c	c	NOUN
fis-1879	54	9	x	x	SYM
fis-1879	54	10	xxy	xxy	PROPN
fis-1879	54	11	yxy	yxy	PROPN
fis-1879	54	12	tyb	tyb	NOUN
fis-1879	54	13	f	f	NOUN
fis-1879	54	14	x	x	PROPN
fis-1879	55	1	d	d	NOUN
fis-1879	55	2	b	b	X
fis-1879	55	3	f	f	NOUN
fis-1879	55	4	x	x	SYM
fis-1879	55	5	d	d	NOUN
fis-1879	55	6	x	x	PUNCT
fis-1879	55	7	x	x	X
fis-1879	55	8	x	x	X
fis-1879	55	9	g	g	NOUN
fis-1879	55	10	(	(	PUNCT
fis-1879	55	11	3	3	NUM
fis-1879	55	12	)	)	PUNCT
fis-1879	55	13			NOUN
fis-1879	55	14			ADP
fis-1879	56	1			NOUN
fis-1879	56	2			NOUN
fis-1879	56	3			NOUN
fis-1879	56	4			NOUN
fis-1879	56	5			NOUN
fis-1879	56	6			NUM
fis-1879	56	7			NOUN
fis-1879	56	8			X
fis-1879	56	9			X
fis-1879	56	10			PROPN
fis-1879	56	11			NUM
fis-1879	56	12			PROPN
fis-1879	56	13			PROPN
fis-1879	56	14			PROPN
fis-1879	56	15			PROPN
fis-1879	56	16			PROPN
fis-1879	56	17			PROPN
fis-1879	56	18			PROPN
fis-1879	56	19			PROPN
fis-1879	56	20			VERB
fis-1879	56	21			PUNCT
fis-1879	56	22			PROPN
fis-1879	56	23	0	0	SYM
fis-1879	56	24	0	0	NUM
fis-1879	57	1	(	(	PUNCT
fis-1879	57	2	1	1	NUM
fis-1879	57	3	(	(	PUNCT
fis-1879	57	4	)	)	PUNCT
fis-1879	57	5	(	(	PUNCT
fis-1879	57	6	,	,	PUNCT
fis-1879	57	7	)	)	PUNCT
fis-1879	57	8	(	(	PUNCT
fis-1879	57	9	)	)	PUNCT
fis-1879	57	10	(	(	PUNCT
fis-1879	57	11	,	,	PUNCT
fis-1879	57	12	)	)	PUNCT
fis-1879	57	13	(	(	PUNCT
fis-1879	57	14	)	)	PUNCT
fis-1879	57	15	(	(	PUNCT
fis-1879	57	16	)	)	PUNCT
fis-1879	57	17	2	2	NUM
fis-1879	57	18	1	1	NUM
fis-1879	57	19	)	)	PUNCT
fis-1879	57	20	x	x	X
fis-1879	58	1	xyy	xyy	PROPN
fis-1879	58	2	yy	yy	PROPN
fis-1879	58	3	y	y	PROPN
fis-1879	58	4	c	c	PROPN
fis-1879	58	5	ny	ny	PROPN
fis-1879	59	1	c	c	PROPN
fis-1879	59	2	b	b	PROPN
fis-1879	60	1	f	f	PROPN
fis-1879	60	2	x	x	PROPN
fis-1879	60	3	d	d	NOUN
fis-1879	60	4	b	b	X
fis-1879	60	5	f	f	NOUN
fis-1879	60	6	x	x	SYM
fis-1879	60	7	d	d	NOUN
fis-1879	60	8	x	x	PUNCT
fis-1879	60	9	x	x	X
fis-1879	60	10	x	x	X
fis-1879	60	11	g	g	NOUN
fis-1879	60	12	(	(	PUNCT
fis-1879	60	13	4	4	NUM
fis-1879	60	14	)	)	PUNCT
fis-1879	60	15	where	where	SCONJ
fis-1879	60	16	g	g	PROPN
fis-1879	60	17	is	be	AUX
fis-1879	60	18	the	the	DET
fis-1879	60	19	shear	shear	NOUN
fis-1879	60	20	modulus	modulus	NOUN
fis-1879	60	21	,	,	PUNCT
fis-1879	60	22	=	=	SYM
fis-1879	60	23	3	3	NUM
fis-1879	60	24	4	4	NUM
fis-1879	60	25	is	be	AUX
fis-1879	60	26	the	the	DET
fis-1879	60	27	kolosov	kolosov	NOUN
fis-1879	60	28	constant	constant	ADJ
fis-1879	60	29	for	for	ADP
fis-1879	60	30	plane	plane	NOUN
fis-1879	60	31	strain	strain	NOUN
fis-1879	60	32	,	,	PUNCT
fis-1879	60	33	and	and	CCONJ
fis-1879	60	34	is	be	AUX
fis-1879	60	35	the	the	DET
fis-1879	60	36	poisson	poisson	NOUN
fis-1879	60	37	ratio	ratio	NOUN
fis-1879	60	38	.	.	PUNCT
fis-1879	61	1	the	the	DET
fis-1879	61	2	influence	influence	NOUN
fis-1879	61	3	function	function	VERB
fis-1879	61	4	fkij(x	fkij(x	PROPN
fis-1879	61	5	,	,	PUNCT
fis-1879	61	6	ξ	ξ	NOUN
fis-1879	61	7	)	)	PUNCT
fis-1879	61	8	,	,	PUNCT
fis-1879	61	9	connecting	connect	VERB
fis-1879	61	10	the	the	DET
fis-1879	61	11	stress	stress	NOUN
fis-1879	61	12	component	component	NOUN
fis-1879	61	13	ij(x	ij(x	NOUN
fis-1879	61	14	)	)	PUNCT
fis-1879	61	15	to	to	ADP
fis-1879	61	16	a	a	DET
fis-1879	61	17	dislocation	dislocation	NOUN
fis-1879	61	18	bk(ξ	bk(ξ	PUNCT
fis-1879	61	19	)	)	PUNCT
fis-1879	61	20	,	,	PUNCT
fis-1879	61	21	can	can	AUX
fis-1879	61	22	be	be	AUX
fis-1879	61	23	found	find	VERB
fis-1879	61	24	in	in	ADP
fis-1879	61	25	[	[	X
fis-1879	61	26	3	3	NUM
fis-1879	61	27	]	]	PUNCT
fis-1879	61	28	.	.	PUNCT
fis-1879	62	1	the	the	DET
fis-1879	62	2	rightside	rightside	ADJ
fis-1879	62	3	terms	term	NOUN
fis-1879	62	4	of	of	ADP
fis-1879	62	5	eqs	eqs	PROPN
fis-1879	62	6	.	.	PUNCT
fis-1879	63	1	(	(	PUNCT
fis-1879	63	2	3)-(4	3)-(4	NUM
fis-1879	63	3	)	)	PUNCT
fis-1879	63	4	contain	contain	VERB
fis-1879	63	5	the	the	DET
fis-1879	63	6	far	far	ADJ
fis-1879	63	7	-	-	PUNCT
fis-1879	63	8	field	field	NOUN
fis-1879	63	9	stresses	stress	NOUN
fis-1879	63	10	∞(x	∞(x	PRON
fis-1879	63	11	)	)	PUNCT
fis-1879	63	12	and	and	CCONJ
fis-1879	63	13	∞(x	∞(x	NUM
fis-1879	63	14	)	)	PUNCT
fis-1879	63	15	,	,	PUNCT
fis-1879	63	16	obtained	obtain	VERB
fis-1879	63	17	from	from	ADP
fis-1879	63	18	the	the	DET
fis-1879	63	19	williams	williams	PROPN
fis-1879	63	20	solution	solution	NOUN
fis-1879	63	21	,	,	PUNCT
fis-1879	63	22	and	and	CCONJ
fis-1879	63	23	the	the	DET
fis-1879	63	24	shear	shear	NOUN
fis-1879	63	25	and	and	CCONJ
fis-1879	63	26	normal	normal	ADJ
fis-1879	63	27	stresses	stress	NOUN
fis-1879	63	28	applied	apply	VERB
fis-1879	63	29	to	to	ADP
fis-1879	63	30	the	the	DET
fis-1879	63	31	crack	crack	NOUN
fis-1879	63	32	surfaces	surface	NOUN
fis-1879	63	33	,	,	PUNCT
fis-1879	63	34	t(x	t(x	PROPN
fis-1879	63	35	)	)	PUNCT
fis-1879	63	36	and	and	CCONJ
fis-1879	63	37	n(x	n(x	NOUN
fis-1879	63	38	)	)	PUNCT
fis-1879	63	39	,	,	PUNCT
fis-1879	63	40	respectively	respectively	ADV
fis-1879	63	41	.	.	PUNCT
fis-1879	64	1	introducing	introduce	VERB
fis-1879	64	2	the	the	DET
fis-1879	64	3	normalized	normalize	VERB
fis-1879	64	4	variables	variable	NOUN
fis-1879	64	5	t	t	PROPN
fis-1879	64	6	,	,	PUNCT
fis-1879	64	7	s	s	PART
fis-1879	64	8	,	,	PUNCT
fis-1879	64	9	with	with	ADP
fis-1879	64	10	crack	crack	NOUN
fis-1879	64	11	extremes	extreme	NOUN
fis-1879	64	12	±	±	NUM
fis-1879	64	13	1	1	NUM
fis-1879	64	14	,	,	PUNCT
fis-1879	64	15	instead	instead	ADV
fis-1879	64	16	of	of	ADP
fis-1879	64	17	x	x	PUNCT
fis-1879	64	18	and	and	CCONJ
fis-1879	64	19			NOUN
fis-1879	64	20	respectively	respectively	ADV
fis-1879	64	21	,	,	PUNCT
fis-1879	64	22	we	we	PRON
fis-1879	64	23	can	can	AUX
fis-1879	64	24	write	write	VERB
fis-1879	64	25	the	the	DET
fis-1879	64	26	singular	singular	ADJ
fis-1879	64	27	integral	integral	ADJ
fis-1879	64	28	equations	equation	NOUN
fis-1879	64	29	in	in	ADP
fis-1879	64	30	the	the	DET
fis-1879	64	31	usual	usual	ADJ
fis-1879	64	32	form	form	NOUN
fis-1879	64	33	,	,	PUNCT
fis-1879	64	34	and	and	CCONJ
fis-1879	64	35	express	express	VERB
fis-1879	64	36	the	the	DET
fis-1879	64	37	unknown	unknown	ADJ
fis-1879	64	38	dislocation	dislocation	NOUN
fis-1879	64	39	densities	densitie	VERB
fis-1879	64	40	bx	bx	AUX
fis-1879	64	41	,	,	PUNCT
fis-1879	64	42	by	by	ADP
fis-1879	64	43	as	as	SCONJ
fis-1879	64	44	follows	follow	VERB
fis-1879	64	45	:	:	PUNCT
fis-1879	64	46			NOUN
fis-1879	64	47			PRON
fis-1879	64	48			NOUN
fis-1879	64	49			VERB
fis-1879	64	50			PROPN
fis-1879	64	51			NUM
fis-1879	64	52			PROPN
fis-1879	64	53			NOUN
fis-1879	64	54	1	1	NUM
fis-1879	64	55	(	(	PUNCT
fis-1879	64	56	)	)	PUNCT
fis-1879	64	57	(	(	PUNCT
fis-1879	64	58	)	)	PUNCT
fis-1879	64	59	(	(	PUNCT
fis-1879	64	60	)	)	PUNCT
fis-1879	64	61	(	(	PUNCT
fis-1879	64	62	)	)	PUNCT
fis-1879	64	63	,	,	PUNCT
fis-1879	64	64	,	,	PUNCT
fis-1879	64	65	1j	1j	NUM
fis-1879	64	66	j	j	PROPN
fis-1879	64	67	j	j	PROPN
fis-1879	64	68	s	s	PROPN
fis-1879	64	69	b	b	PROPN
fis-1879	64	70	s	s	X
fis-1879	64	71	s	s	X
fis-1879	64	72	s	s	X
fis-1879	64	73	s	s	X
fis-1879	64	74	j	j	PROPN
fis-1879	64	75	x	x	SYM
fis-1879	64	76	y	y	PROPN
fis-1879	64	77	s	s	X
fis-1879	64	78	(	(	PUNCT
fis-1879	64	79	5	5	NUM
fis-1879	64	80	)	)	PUNCT
fis-1879	64	81	where	where	SCONJ
fis-1879	64	82	we	we	PRON
fis-1879	64	83	have	have	AUX
fis-1879	64	84	chosen	choose	VERB
fis-1879	64	85	the	the	DET
fis-1879	64	86	fundamental	fundamental	ADJ
fis-1879	64	87	form	form	NOUN
fis-1879	64	88	of	of	ADP
fis-1879	64	89	the	the	DET
fis-1879	64	90	solution	solution	NOUN
fis-1879	64	91	(	(	PUNCT
fis-1879	64	92	s	s	X
fis-1879	64	93	)	)	PUNCT
fis-1879	64	94	to	to	PART
fis-1879	64	95	be	be	AUX
fis-1879	64	96	singular	singular	ADJ
fis-1879	64	97	at	at	ADP
fis-1879	64	98	the	the	DET
fis-1879	64	99	crack	crack	NOUN
fis-1879	64	100	tip	tip	NOUN
fis-1879	64	101	s	s	PART
fis-1879	64	102	=	=	SYM
fis-1879	64	103	1	1	NUM
fis-1879	64	104	and	and	CCONJ
fis-1879	64	105	bounded	bound	VERB
fis-1879	64	106	at	at	ADP
fis-1879	64	107	s	s	NOUN
fis-1879	64	108	=	=	NOUN
fis-1879	64	109	1	1	NUM
fis-1879	64	110	.	.	PUNCT
fis-1879	65	1	a	a	DET
fis-1879	65	2	numerical	numerical	ADJ
fis-1879	65	3	solution	solution	NOUN
fis-1879	65	4	of	of	ADP
fis-1879	65	5	the	the	DET
fis-1879	65	6	integral	integral	ADJ
fis-1879	65	7	equations	equation	NOUN
fis-1879	65	8	is	be	AUX
fis-1879	65	9	needed	need	VERB
fis-1879	65	10	,	,	PUNCT
fis-1879	65	11	and	and	CCONJ
fis-1879	65	12	this	this	PRON
fis-1879	65	13	can	can	AUX
fis-1879	65	14	be	be	AUX
fis-1879	65	15	achieved	achieve	VERB
fis-1879	65	16	by	by	ADP
fis-1879	65	17	means	mean	NOUN
fis-1879	65	18	of	of	ADP
fis-1879	65	19	the	the	DET
fis-1879	65	20	gauss	gauss	ADJ
fis-1879	65	21	-	-	PUNCT
fis-1879	65	22	chebyshev	chebyshev	NOUN
fis-1879	65	23	quadrature	quadrature	NOUN
fis-1879	65	24	described	describe	VERB
fis-1879	65	25	in	in	ADP
fis-1879	65	26	[	[	X
fis-1879	65	27	10	10	NUM
fis-1879	65	28	]	]	PUNCT
fis-1879	65	29	.	.	PUNCT
fis-1879	66	1	the	the	DET
fis-1879	66	2	resulting	result	VERB
fis-1879	66	3	2n	2n	NUM
fis-1879	66	4	equations	equation	NOUN
fis-1879	66	5	in	in	ADP
fis-1879	66	6	the	the	DET
fis-1879	66	7	2n	2n	NUM
fis-1879	66	8	unknown	unknown	ADJ
fis-1879	66	9	j(si	j(si	PROPN
fis-1879	66	10	)	)	PUNCT
fis-1879	66	11	are	be	AUX
fis-1879	66	12	the	the	DET
fis-1879	66	13	following	follow	VERB
fis-1879	66	14	:	:	PUNCT
fis-1879	66	15			NOUN
fis-1879	66	16			VERB
fis-1879	66	17			NOUN
fis-1879	66	18			NOUN
fis-1879	66	19			NOUN
fis-1879	66	20			PROPN
fis-1879	66	21			PROPN
fis-1879	67	1			PROPN
fis-1879	67	2			PROPN
fis-1879	67	3			PROPN
fis-1879	67	4			PROPN
fis-1879	67	5			PROPN
fis-1879	67	6			PROPN
fis-1879	67	7			PROPN
fis-1879	67	8			NOUN
fis-1879	67	9			X
fis-1879	67	10			X
fis-1879	67	11			NUM
fis-1879	67	12			NUM
fis-1879	67	13			ADJ
fis-1879	67	14			NOUN
fis-1879	68	1			NOUN
fis-1879	68	2			NUM
fis-1879	68	3			NOUN
fis-1879	68	4	1	1	NUM
fis-1879	68	5	1)(1	1)(1	NUM
fis-1879	68	6	(	(	PUNCT
fis-1879	68	7	)	)	PUNCT
fis-1879	68	8	(	(	PUNCT
fis-1879	68	9	)	)	PUNCT
fis-1879	68	10	(	(	PUNCT
fis-1879	68	11	,	,	PUNCT
fis-1879	68	12	)	)	PUNCT
fis-1879	68	13	(	(	PUNCT
fis-1879	68	14	)	)	PUNCT
fis-1879	68	15	(	(	PUNCT
fis-1879	68	16	,	,	PUNCT
fis-1879	68	17	)	)	PUNCT
fis-1879	68	18	(	(	PUNCT
fis-1879	68	19	)	)	PUNCT
fis-1879	68	20	(	(	PUNCT
fis-1879	68	21	)	)	PUNCT
fis-1879	68	22	2i	2i	NUM
fis-1879	68	23	x	x	X
fis-1879	69	1	i	i	PRON
fis-1879	69	2	xxy	xxy	PROPN
fis-1879	69	3	k	k	PROPN
fis-1879	70	1	i	i	PRON
fis-1879	70	2	i	i	PRON
fis-1879	70	3	yxy	yxy	VERB
fis-1879	71	1	k	k	PROPN
fis-1879	72	1	i	i	PRON
fis-1879	72	2	k	k	PROPN
fis-1879	73	1	t	t	INTJ
fis-1879	74	1	i	i	PRON
fis-1879	74	2	k	k	PROPN
fis-1879	75	1	k	k	PROPN
fis-1879	75	2	i	i	PRON
fis-1879	75	3	n	n	VERB
fis-1879	75	4	yw	yw	PROPN
fis-1879	75	5	s	s	PROPN
fis-1879	75	6	s	s	PROPN
fis-1879	75	7	f	f	X
fis-1879	75	8	t	t	PROPN
fis-1879	75	9	s	s	PROPN
fis-1879	75	10	s	s	X
fis-1879	75	11	f	f	X
fis-1879	75	12	t	t	PROPN
fis-1879	75	13	s	s	PROPN
fis-1879	75	14	t	t	PROPN
fis-1879	75	15	t	t	PROPN
fis-1879	75	16	t	t	PROPN
fis-1879	75	17	s	s	PROPN
fis-1879	75	18	g	g	PROPN
fis-1879	75	19	(	(	PUNCT
fis-1879	75	20	6	6	NUM
fis-1879	75	21	)	)	PUNCT
fis-1879	75	22			NOUN
fis-1879	75	23			PROPN
fis-1879	75	24			NOUN
fis-1879	75	25			NOUN
fis-1879	75	26			X
fis-1879	75	27			NOUN
fis-1879	75	28			NOUN
fis-1879	75	29			ADV
fis-1879	75	30			PROPN
fis-1879	75	31			VERB
fis-1879	75	32			NUM
fis-1879	75	33			PROPN
fis-1879	75	34			NOUN
fis-1879	75	35			NOUN
fis-1879	75	36			PROPN
fis-1879	75	37			PROPN
fis-1879	75	38			PROPN
fis-1879	75	39			PROPN
fis-1879	75	40			NOUN
fis-1879	75	41			PROPN
fis-1879	75	42			PUNCT
fis-1879	75	43			PUNCT
fis-1879	75	44			PROPN
fis-1879	75	45			NOUN
fis-1879	75	46			PROPN
fis-1879	75	47			X
fis-1879	75	48	1	1	NUM
fis-1879	75	49	(	(	PUNCT
fis-1879	75	50	1	1	NUM
fis-1879	75	51	(	(	PUNCT
fis-1879	75	52	)	)	PUNCT
fis-1879	75	53	(	(	PUNCT
fis-1879	75	54	)	)	PUNCT
fis-1879	75	55	(	(	PUNCT
fis-1879	75	56	,	,	PUNCT
fis-1879	75	57	)	)	PUNCT
fis-1879	75	58	(	(	PUNCT
fis-1879	75	59	)	)	PUNCT
fis-1879	75	60	(	(	PUNCT
fis-1879	75	61	,	,	PUNCT
fis-1879	75	62	)	)	PUNCT
fis-1879	75	63	(	(	PUNCT
fis-1879	75	64	)	)	PUNCT
fis-1879	75	65	1	1	NUM
fis-1879	75	66	(	(	PUNCT
fis-1879	75	67	)	)	PUNCT
fis-1879	75	68	2	2	X
fis-1879	75	69	)	)	PUNCT
fis-1879	75	70	n	n	NOUN
fis-1879	75	71	i	i	PRON
fis-1879	75	72	x	x	PROPN
fis-1879	76	1	i	i	PRON
fis-1879	76	2	xyy	xyy	PROPN
fis-1879	76	3	yk	yk	PROPN
fis-1879	77	1	i	i	PRON
fis-1879	78	1	i	i	PRON
fis-1879	78	2	yyy	yyy	PROPN
fis-1879	79	1	k	k	PROPN
fis-1879	80	1	i	i	PRON
fis-1879	80	2	k	k	PROPN
fis-1879	81	1	n	n	VERB
fis-1879	82	1	ki	ki	INTJ
fis-1879	82	2	k	k	PROPN
fis-1879	83	1	i	i	PRON
fis-1879	83	2	w	w	PROPN
fis-1879	84	1	s	s	PROPN
fis-1879	84	2	s	s	X
fis-1879	84	3	f	f	X
fis-1879	84	4	t	t	PROPN
fis-1879	84	5	s	s	PROPN
fis-1879	84	6	s	s	X
fis-1879	84	7	f	f	X
fis-1879	84	8	t	t	PROPN
fis-1879	84	9	s	s	PROPN
fis-1879	84	10	t	t	PROPN
fis-1879	84	11	t	t	PROPN
fis-1879	84	12	t	t	PROPN
fis-1879	84	13	s	s	PROPN
fis-1879	84	14	g	g	PROPN
fis-1879	84	15	(	(	PUNCT
fis-1879	84	16	7	7	NUM
fis-1879	84	17	)	)	PUNCT
fis-1879	84	18	where	where	SCONJ
fis-1879	84	19	w(i	w(i	PROPN
fis-1879	84	20	)	)	PUNCT
fis-1879	84	21	are	be	AUX
fis-1879	84	22	the	the	DET
fis-1879	84	23	weight	weight	NOUN
fis-1879	84	24	functions	function	NOUN
fis-1879	84	25	,	,	PUNCT
fis-1879	84	26	si	si	X
fis-1879	84	27	are	be	AUX
fis-1879	84	28	the	the	DET
fis-1879	84	29	integration	integration	NOUN
fis-1879	84	30	points	point	NOUN
fis-1879	84	31	at	at	ADP
fis-1879	84	32	which	which	PRON
fis-1879	84	33	the	the	DET
fis-1879	84	34	unknown	unknown	ADJ
fis-1879	84	35	functions	function	NOUN
fis-1879	84	36	and	and	CCONJ
fis-1879	84	37	the	the	DET
fis-1879	84	38	displacements	displacement	NOUN
fis-1879	84	39	are	be	AUX
fis-1879	84	40	computed	compute	VERB
fis-1879	84	41	,	,	PUNCT
fis-1879	84	42	whereas	whereas	SCONJ
fis-1879	84	43	tk	tk	PROPN
fis-1879	84	44	are	be	AUX
fis-1879	84	45	the	the	DET
fis-1879	84	46	collocation	collocation	NOUN
fis-1879	84	47	points	point	NOUN
fis-1879	84	48	at	at	ADP
fis-1879	84	49	which	which	PRON
fis-1879	84	50	we	we	PRON
fis-1879	84	51	evaluate	evaluate	VERB
fis-1879	84	52	the	the	DET
fis-1879	84	53	stresses	stress	NOUN
fis-1879	84	54	.	.	PUNCT
fis-1879	85	1	stress	stress	NOUN
fis-1879	85	2	intensity	intensity	NOUN
fis-1879	85	3	factors	factor	NOUN
fis-1879	85	4	at	at	ADP
fis-1879	85	5	the	the	DET
fis-1879	85	6	crack	crack	NOUN
fis-1879	85	7	tip	tip	NOUN
fis-1879	85	8	are	be	AUX
fis-1879	85	9	directly	directly	ADV
fis-1879	85	10	related	relate	VERB
fis-1879	85	11	to	to	ADP
fis-1879	85	12	the	the	DET
fis-1879	85	13	value	value	NOUN
fis-1879	85	14	of	of	ADP
fis-1879	85	15	j(s	j(s	NOUN
fis-1879	85	16	)	)	PUNCT
fis-1879	85	17	for	for	ADP
fis-1879	85	18	s	s	NOUN
fis-1879	85	19	=	=	X
fis-1879	85	20	+1	+1	ADJ
fis-1879	85	21	:	:	PUNCT
fis-1879	85	22			ADJ
fis-1879	85	23			ADJ
fis-1879	85	24			NOUN
fis-1879	85	25			VERB
fis-1879	85	26			PROPN
fis-1879	85	27			ADV
fis-1879	86	1			NOUN
fis-1879	86	2			NUM
fis-1879	86	3	2	2	NUM
fis-1879	86	4	2	2	NUM
fis-1879	86	5	(	(	PUNCT
fis-1879	86	6	(	(	PUNCT
fis-1879	86	7	1	1	NUM
fis-1879	86	8	)	)	PUNCT
fis-1879	86	9	1	1	NUM
fis-1879	86	10	)	)	PUNCT
fis-1879	86	11	,	,	PUNCT
fis-1879	86	12	,	,	PUNCT
fis-1879	86	13	,	,	PUNCT
fis-1879	86	14	,	,	PUNCT
fis-1879	86	15	i	i	PRON
fis-1879	87	1	j	j	PROPN
fis-1879	87	2	g	g	PROPN
fis-1879	88	1	k	k	PROPN
fis-1879	89	1	i	i	PRON
fis-1879	90	1	i	i	PROPN
fis-1879	90	2	ii	ii	VERB
fis-1879	91	1	j	j	PROPN
fis-1879	91	2	xc	xc	PROPN
fis-1879	91	3	y	y	PROPN
fis-1879	91	4	(	(	PUNCT
fis-1879	91	5	8)	8)	NUM
fis-1879	91	6	values	value	NOUN
fis-1879	91	7	of	of	ADP
fis-1879	91	8	j	j	PROPN
fis-1879	91	9	at	at	ADP
fis-1879	91	10	end	end	NOUN
fis-1879	91	11	-	-	PUNCT
fis-1879	91	12	points	point	NOUN
fis-1879	91	13	are	be	AUX
fis-1879	91	14	not	not	PART
fis-1879	91	15	included	include	VERB
fis-1879	91	16	in	in	ADP
fis-1879	91	17	this	this	DET
fis-1879	91	18	quadrature	quadrature	NOUN
fis-1879	91	19	method	method	NOUN
fis-1879	91	20	,	,	PUNCT
fis-1879	91	21	thus	thus	ADV
fis-1879	91	22	krenk	krenk	NOUN
fis-1879	91	23	’s	’s	PART
fis-1879	91	24	interpolation	interpolation	NOUN
fis-1879	91	25	is	be	AUX
fis-1879	91	26	used	use	VERB
fis-1879	91	27	[	[	PUNCT
fis-1879	91	28	11	11	NUM
fis-1879	91	29	]	]	PUNCT
fis-1879	91	30	.	.	PUNCT
fis-1879	92	1	interface	interface	NOUN
fis-1879	92	2	constitutive	constitutive	ADJ
fis-1879	92	3	law	law	NOUN
fis-1879	92	4	in	in	ADP
fis-1879	92	5	eqs	eqs	PROPN
fis-1879	92	6	.	.	PUNCT
fis-1879	93	1	(	(	PUNCT
fis-1879	93	2	6)-(7	6)-(7	NOUN
fis-1879	93	3	)	)	PUNCT
fis-1879	93	4	,	,	PUNCT
fis-1879	93	5	the	the	DET
fis-1879	93	6	stresses	stress	NOUN
fis-1879	93	7	on	on	ADP
fis-1879	93	8	the	the	DET
fis-1879	93	9	crack	crack	NOUN
fis-1879	93	10	surface	surface	NOUN
fis-1879	93	11	t	t	PROPN
fis-1879	93	12	and	and	CCONJ
fis-1879	93	13	n	n	PRON
fis-1879	93	14	are	be	AUX
fis-1879	93	15	related	relate	VERB
fis-1879	93	16	to	to	ADP
fis-1879	93	17	the	the	DET
fis-1879	93	18	relative	relative	ADJ
fis-1879	93	19	displacements	displacement	NOUN
fis-1879	93	20	by	by	ADP
fis-1879	93	21	means	mean	NOUN
fis-1879	93	22	of	of	ADP
fis-1879	93	23	a	a	DET
fis-1879	93	24	constitutive	constitutive	ADJ
fis-1879	93	25	law	law	NOUN
fis-1879	93	26	which	which	PRON
fis-1879	93	27	describes	describe	VERB
fis-1879	93	28	friction	friction	NOUN
fis-1879	93	29	and	and	CCONJ
fis-1879	93	30	roughness	roughness	NOUN
fis-1879	93	31	.	.	PUNCT
fis-1879	94	1	according	accord	VERB
fis-1879	94	2	to	to	ADP
fis-1879	94	3	this	this	DET
fis-1879	94	4	law	law	NOUN
fis-1879	94	5	,	,	PUNCT
fis-1879	94	6	the	the	DET
fis-1879	94	7	crack	crack	NOUN
fis-1879	94	8	surfaces	surface	NOUN
fis-1879	94	9	are	be	AUX
fis-1879	94	10	assumed	assume	VERB
fis-1879	94	11	to	to	PART
fis-1879	94	12	be	be	AUX
fis-1879	94	13	a.	a.	NOUN
fis-1879	94	14	carpinteri	carpinteri	PROPN
fis-1879	94	15	et	et	PROPN
fis-1879	94	16	alii	alii	PROPN
fis-1879	94	17	,	,	PUNCT
fis-1879	94	18	frattura	frattura	PROPN
fis-1879	94	19	ed	ed	PROPN
fis-1879	94	20	integrità	integrità	PROPN
fis-1879	94	21	strutturale	strutturale	PROPN
fis-1879	94	22	,	,	PUNCT
fis-1879	94	23	41	41	NUM
fis-1879	94	24	(	(	PUNCT
fis-1879	94	25	2017	2017	NUM
fis-1879	94	26	)	)	PUNCT
fis-1879	94	27	175	175	NUM
fis-1879	94	28	-	-	SYM
fis-1879	94	29	182	182	NUM
fis-1879	94	30	;	;	PUNCT
fis-1879	94	31	doi	doi	NOUN
fis-1879	94	32	:	:	PUNCT
fis-1879	94	33	10.3221	10.3221	NUM
fis-1879	94	34	/	/	SYM
fis-1879	94	35	igf	igf	NOUN
fis-1879	94	36	-	-	ADJ
fis-1879	94	37	esis.41.24	esis.41.24	PROPN
fis-1879	94	38	178	178	NUM
fis-1879	94	39	globally	globally	ADV
fis-1879	94	40	smooth	smooth	ADJ
fis-1879	94	41	,	,	PUNCT
fis-1879	94	42	with	with	ADP
fis-1879	94	43	the	the	DET
fis-1879	94	44	effect	effect	NOUN
fis-1879	94	45	of	of	ADP
fis-1879	94	46	friction	friction	NOUN
fis-1879	94	47	and	and	CCONJ
fis-1879	94	48	roughness	roughness	NOUN
fis-1879	94	49	built	build	VERB
fis-1879	94	50	in	in	ADP
fis-1879	94	51	a	a	DET
fis-1879	94	52	rigid	rigid	ADJ
fis-1879	94	53	-	-	PUNCT
fis-1879	94	54	plastic	plastic	NOUN
fis-1879	94	55	constitutive	constitutive	ADJ
fis-1879	94	56	relationship	relationship	NOUN
fis-1879	94	57	.	.	PUNCT
fis-1879	95	1	let	let	VERB
fis-1879	95	2	us	we	PRON
fis-1879	95	3	consider	consider	VERB
fis-1879	95	4	the	the	DET
fis-1879	95	5	relative	relative	ADJ
fis-1879	95	6	tangential	tangential	ADJ
fis-1879	95	7	and	and	CCONJ
fis-1879	95	8	normal	normal	ADJ
fis-1879	95	9	displacements	displacement	NOUN
fis-1879	95	10	between	between	ADP
fis-1879	95	11	two	two	NUM
fis-1879	95	12	points	point	NOUN
fis-1879	95	13	situated	situate	VERB
fis-1879	95	14	on	on	ADP
fis-1879	95	15	opposite	opposite	ADJ
fis-1879	95	16	positions	position	NOUN
fis-1879	95	17	on	on	ADP
fis-1879	95	18	the	the	DET
fis-1879	95	19	crack	crack	NOUN
fis-1879	95	20	surfaces	surface	NOUN
fis-1879	95	21	,	,	PUNCT
fis-1879	95	22	fig	fig	NOUN
fis-1879	95	23	.	.	PUNCT
fis-1879	96	1	2(a	2(a	NUM
fis-1879	96	2	):	):	PUNCT
fis-1879	97	1			X
fis-1879	97	2			PUNCT
fis-1879	97	3			PROPN
fis-1879	97	4			PROPN
fis-1879	97	5			PROPN
fis-1879	97	6			PROPN
fis-1879	97	7			PROPN
fis-1879	97	8			PROPN
fis-1879	97	9	w	w	PROPN
fis-1879	97	10	w	w	PROPN
fis-1879	97	11	t	t	PROPN
fis-1879	97	12	x	x	SYM
fis-1879	97	13	n	n	PROPN
fis-1879	97	14	y	y	PROPN
fis-1879	97	15	y	y	PROPN
fis-1879	97	16	xu	xu	PROPN
fis-1879	98	1	u	u	PRON
fis-1879	98	2	u	u	PROPN
fis-1879	98	3	u	u	NOUN
fis-1879	98	4	(	(	PUNCT
fis-1879	98	5	9	9	NUM
fis-1879	98	6	)	)	PUNCT
fis-1879	98	7	where	where	SCONJ
fis-1879	98	8	superscripts	superscript	NOUN
fis-1879	98	9	+	+	CCONJ
fis-1879	98	10	and	and	CCONJ
fis-1879	98	11	indicate	indicate	VERB
fis-1879	98	12	the	the	DET
fis-1879	98	13	superior	superior	ADJ
fis-1879	98	14	and	and	CCONJ
fis-1879	98	15	inferior	inferior	ADJ
fis-1879	98	16	surface	surface	NOUN
fis-1879	98	17	of	of	ADP
fis-1879	98	18	the	the	DET
fis-1879	98	19	crack	crack	NOUN
fis-1879	98	20	,	,	PUNCT
fis-1879	98	21	respectively	respectively	ADV
fis-1879	98	22	.	.	PUNCT
fis-1879	99	1	tangential	tangential	ADJ
fis-1879	99	2	and	and	CCONJ
fis-1879	99	3	normal	normal	ADJ
fis-1879	99	4	relative	relative	ADJ
fis-1879	99	5	displacement	displacement	ADJ
fis-1879	99	6	increments	increment	NOUN
fis-1879	99	7	are	be	AUX
fis-1879	99	8	additively	additively	ADV
fis-1879	99	9	composed	compose	VERB
fis-1879	99	10	of	of	ADP
fis-1879	99	11	a	a	DET
fis-1879	99	12	recoverable	recoverable	ADJ
fis-1879	99	13	elastic	elastic	ADJ
fis-1879	99	14	part	part	NOUN
fis-1879	99	15	dwie	dwie	NOUN
fis-1879	99	16	and	and	CCONJ
fis-1879	99	17	a	a	DET
fis-1879	99	18	non	non	ADJ
fis-1879	99	19	-	-	ADJ
fis-1879	99	20	recoverable	recoverable	ADJ
fis-1879	99	21	plastic	plastic	NOUN
fis-1879	99	22	part	part	NOUN
fis-1879	99	23	dwip	dwip	NOUN
fis-1879	99	24	:	:	PUNCT
fis-1879	99	25			NUM
fis-1879	99	26			ADJ
fis-1879	99	27			PROPN
fis-1879	99	28	,	,	PUNCT
fis-1879	99	29	,	,	PUNCT
fis-1879	99	30	e	e	PROPN
fis-1879	99	31	p	p	NOUN
fis-1879	100	1	i	i	PRON
fis-1879	100	2	i	i	PRON
fis-1879	100	3	idw	idw	VERB
fis-1879	100	4	dw	dw	PROPN
fis-1879	100	5	dw	dw	PROPN
fis-1879	101	1	i	i	PROPN
fis-1879	101	2	t	t	PROPN
fis-1879	101	3	n	n	PROPN
fis-1879	101	4	(	(	PUNCT
fis-1879	101	5	10	10	NUM
fis-1879	101	6	)	)	PUNCT
fis-1879	101	7	where	where	SCONJ
fis-1879	101	8	subscript	subscript	NOUN
fis-1879	101	9	i	i	PRON
fis-1879	101	10	is	be	AUX
fis-1879	101	11	used	use	VERB
fis-1879	101	12	to	to	PART
fis-1879	101	13	denote	denote	VERB
fis-1879	101	14	the	the	DET
fis-1879	101	15	vector	vector	NOUN
fis-1879	101	16	components	component	NOUN
fis-1879	101	17	t	t	PROPN
fis-1879	101	18	and	and	CCONJ
fis-1879	101	19	n.	n.	VERB
fis-1879	101	20	the	the	DET
fis-1879	101	21	stress	stress	NOUN
fis-1879	101	22	that	that	SCONJ
fis-1879	101	23	the	the	DET
fis-1879	101	24	interface	interface	NOUN
fis-1879	101	25	supports	support	VERB
fis-1879	101	26	is	be	AUX
fis-1879	101	27	assumed	assume	VERB
fis-1879	101	28	to	to	PART
fis-1879	101	29	be	be	AUX
fis-1879	101	30	related	relate	VERB
fis-1879	101	31	to	to	ADP
fis-1879	101	32	the	the	DET
fis-1879	101	33	elastic	elastic	ADJ
fis-1879	101	34	part	part	NOUN
fis-1879	101	35	by	by	ADP
fis-1879	101	36	the	the	DET
fis-1879	101	37	following	follow	VERB
fis-1879	101	38	expression	expression	NOUN
fis-1879	101	39	:	:	PUNCT
fis-1879	101	40			PROPN
fis-1879	101	41			NUM
fis-1879	101	42	e	e	SYM
fis-1879	101	43	ii	ii	PROPN
fis-1879	101	44	jjd	jjd	PROPN
fis-1879	101	45	e	e	PROPN
fis-1879	101	46	dw	dw	PROPN
fis-1879	101	47	(	(	PUNCT
fis-1879	101	48	11	11	NUM
fis-1879	101	49	)	)	PUNCT
fis-1879	101	50	where	where	SCONJ
fis-1879	101	51	eij	eij	PROPN
fis-1879	101	52	is	be	AUX
fis-1879	101	53	the	the	DET
fis-1879	101	54	interface	interface	NOUN
fis-1879	101	55	stiffness	stiffness	NOUN
fis-1879	101	56	(	(	PUNCT
fis-1879	101	57	summation	summation	NOUN
fis-1879	101	58	convention	convention	NOUN
fis-1879	101	59	is	be	AUX
fis-1879	101	60	applied	apply	VERB
fis-1879	101	61	to	to	ADP
fis-1879	101	62	repeated	repeat	VERB
fis-1879	101	63	indices	index	NOUN
fis-1879	101	64	)	)	PUNCT
fis-1879	101	65	.	.	PUNCT
fis-1879	102	1	here	here	ADV
fis-1879	102	2	,	,	PUNCT
fis-1879	102	3	we	we	PRON
fis-1879	102	4	assume	assume	VERB
fis-1879	102	5	eij	eij	PROPN
fis-1879	102	6	=	=	NOUN
fis-1879	102	7	0	0	PROPN
fis-1879	102	8	for	for	ADP
fis-1879	102	9	i	i	PRON
fis-1879	102	10	≠	≠	PROPN
fis-1879	102	11	j	j	PROPN
fis-1879	102	12	and	and	CCONJ
fis-1879	102	13	assure	assure	VERB
fis-1879	102	14	that	that	SCONJ
fis-1879	102	15	they	they	PRON
fis-1879	102	16	are	be	AUX
fis-1879	102	17	relatively	relatively	ADV
fis-1879	102	18	large	large	ADJ
fis-1879	102	19	compared	compare	VERB
fis-1879	102	20	to	to	ADP
fis-1879	102	21	the	the	DET
fis-1879	102	22	stiffness	stiffness	NOUN
fis-1879	102	23	of	of	ADP
fis-1879	102	24	the	the	DET
fis-1879	102	25	adjacent	adjacent	ADJ
fis-1879	102	26	medium	medium	NOUN
fis-1879	102	27	,	,	PUNCT
fis-1879	102	28	by	by	ADP
fis-1879	102	29	applying	apply	VERB
fis-1879	102	30	a	a	DET
fis-1879	102	31	penalty	penalty	NOUN
fis-1879	102	32	two	two	NUM
fis-1879	102	33	to	to	PART
fis-1879	102	34	four	four	NUM
fis-1879	102	35	orders	order	NOUN
fis-1879	102	36	of	of	ADP
fis-1879	102	37	magnitude	magnitude	NOUN
fis-1879	102	38	greater	great	ADJ
fis-1879	102	39	to	to	ADP
fis-1879	102	40	the	the	DET
fis-1879	102	41	shear	shear	NOUN
fis-1879	102	42	modulus	modulus	NOUN
fis-1879	102	43	g	g	NOUN
fis-1879	102	44	of	of	ADP
fis-1879	102	45	the	the	DET
fis-1879	102	46	medium	medium	NOUN
fis-1879	102	47	itself	itself	PRON
fis-1879	102	48	.	.	PUNCT
fis-1879	103	1	the	the	DET
fis-1879	103	2	permanent	permanent	ADJ
fis-1879	103	3	part	part	NOUN
fis-1879	103	4	of	of	ADP
fis-1879	103	5	the	the	DET
fis-1879	103	6	deformation	deformation	NOUN
fis-1879	103	7	is	be	AUX
fis-1879	103	8	given	give	VERB
fis-1879	103	9	by	by	ADP
fis-1879	103	10	the	the	DET
fis-1879	103	11	following	follow	VERB
fis-1879	103	12	slip	slip	NOUN
fis-1879	103	13	rule	rule	NOUN
fis-1879	103	14	:	:	PUNCT
fis-1879	103	15	0	0	NUM
fis-1879	103	16	0	0	NUM
fis-1879	103	17	0	0	NUM
fis-1879	103	18	0	0	NUM
fis-1879	104	1	p	p	NOUN
fis-1879	104	2	i	i	PRON
fis-1879	104	3	i	i	PRON
fis-1879	105	1	if	if	SCONJ
fis-1879	105	2	f	f	PROPN
fis-1879	105	3	or	or	CCONJ
fis-1879	105	4	df	df	PROPN
fis-1879	105	5	dw	dw	NOUN
fis-1879	105	6	g	g	PROPN
fis-1879	105	7	if	if	SCONJ
fis-1879	105	8	f	f	PROPN
fis-1879	105	9	df	df	PROPN
fis-1879	105	10			PROPN
fis-1879	105	11			PROPN
fis-1879	105	12			NOUN
fis-1879	105	13			PROPN
fis-1879	105	14			SYM
fis-1879	105	15			NUM
fis-1879	105	16			NOUN
fis-1879	105	17			X
fis-1879	105	18	(	(	PUNCT
fis-1879	105	19	12	12	NUM
fis-1879	105	20	)	)	PUNCT
fis-1879	105	21	where	where	SCONJ
fis-1879	105	22	f	f	PROPN
fis-1879	105	23	is	be	AUX
fis-1879	105	24	the	the	DET
fis-1879	105	25	slip	slip	NOUN
fis-1879	105	26	function	function	NOUN
fis-1879	105	27	and	and	CCONJ
fis-1879	105	28	g	g	NOUN
fis-1879	105	29	is	be	AUX
fis-1879	105	30	the	the	DET
fis-1879	105	31	slip	slip	NOUN
fis-1879	105	32	potential	potential	NOUN
fis-1879	105	33	.	.	PUNCT
fis-1879	106	1	it	it	PRON
fis-1879	106	2	can	can	AUX
fis-1879	106	3	be	be	AUX
fis-1879	106	4	noted	note	VERB
fis-1879	106	5	that	that	SCONJ
fis-1879	106	6	,	,	PUNCT
fis-1879	106	7	since	since	SCONJ
fis-1879	106	8	the	the	DET
fis-1879	106	9	friction	friction	NOUN
fis-1879	106	10	law	law	NOUN
fis-1879	106	11	is	be	AUX
fis-1879	106	12	non	non	NOUN
fis-1879	106	13	associated	associate	VERB
fis-1879	106	14	,	,	PUNCT
fis-1879	106	15	f	f	PROPN
fis-1879	106	16	and	and	CCONJ
fis-1879	106	17	g	g	PROPN
fis-1879	106	18	do	do	AUX
fis-1879	106	19	not	not	PART
fis-1879	106	20	coincide	coincide	VERB
fis-1879	106	21	,	,	PUNCT
fis-1879	106	22	and	and	CCONJ
fis-1879	106	23	the	the	DET
fis-1879	106	24	direction	direction	NOUN
fis-1879	106	25	of	of	ADP
fis-1879	106	26	slip	slip	NOUN
fis-1879	106	27	is	be	AUX
fis-1879	106	28	given	give	VERB
fis-1879	106	29	by	by	ADP
fis-1879	106	30	the	the	DET
fis-1879	106	31	gradient	gradient	NOUN
fis-1879	106	32	of	of	ADP
fis-1879	106	33	g.	g.	PROPN
fis-1879	106	34	combining	combine	VERB
fis-1879	106	35	(	(	PUNCT
fis-1879	106	36	10)-(12	10)-(12	NUM
fis-1879	106	37	)	)	PUNCT
fis-1879	106	38	,	,	PUNCT
fis-1879	106	39	we	we	PRON
fis-1879	106	40	obtain	obtain	VERB
fis-1879	106	41	the	the	DET
fis-1879	106	42	fundamental	fundamental	ADJ
fis-1879	106	43	relationship	relationship	NOUN
fis-1879	106	44	which	which	PRON
fis-1879	106	45	connects	connect	VERB
fis-1879	106	46	the	the	DET
fis-1879	106	47	stresses	stress	NOUN
fis-1879	106	48	along	along	ADP
fis-1879	106	49	the	the	DET
fis-1879	106	50	crack	crack	NOUN
fis-1879	106	51	to	to	ADP
fis-1879	106	52	the	the	DET
fis-1879	106	53	relative	relative	ADJ
fis-1879	106	54	displacements	displacement	NOUN
fis-1879	106	55	:	:	PUNCT
fis-1879	106	56			PROPN
fis-1879	106	57			PROPN
fis-1879	106	58	ep	ep	PROPN
fis-1879	106	59	iji	iji	PROPN
fis-1879	106	60	jd	jd	PROPN
fis-1879	106	61	e	e	PROPN
fis-1879	106	62	dw	dw	PROPN
fis-1879	106	63	(	(	PUNCT
fis-1879	106	64	13	13	NUM
fis-1879	106	65	)	)	PUNCT
fis-1879	106	66	where	where	SCONJ
fis-1879	106	67	:	:	PUNCT
fis-1879	106	68			X
fis-1879	106	69			X
fis-1879	106	70			X
fis-1879	106	71			PROPN
fis-1879	106	72			NUM
fis-1879	106	73			PROPN
fis-1879	106	74			PROPN
fis-1879	106	75			ADJ
fis-1879	106	76			ADJ
fis-1879	106	77			ADJ
fis-1879	106	78			PROPN
fis-1879	106	79			PROPN
fis-1879	106	80			PROPN
fis-1879	106	81			PROPN
fis-1879	106	82			PROPN
fis-1879	106	83			ADJ
fis-1879	106	84			ADJ
fis-1879	106	85			ADJ
fis-1879	106	86			ADJ
fis-1879	106	87	if	if	SCONJ
fis-1879	106	88	0	0	NUM
fis-1879	106	89	or	or	CCONJ
fis-1879	106	90	0	0	NUM
fis-1879	106	91	if	if	SCONJ
fis-1879	106	92	0	0	NUM
fis-1879	106	93	ep	ep	PROPN
fis-1879	107	1	ij	ij	INTJ
fis-1879	107	2	ij	ij	INTJ
fis-1879	107	3	iq	iq	INTJ
fis-1879	108	1	pj	pj	PROPN
fis-1879	108	2	pep	pep	INTJ
fis-1879	109	1	ij	ij	INTJ
fis-1879	109	2	ij	ij	INTJ
fis-1879	109	3	pq	pq	INTJ
fis-1879	109	4	q	q	PROPN
fis-1879	109	5	p	p	X
fis-1879	109	6	q	q	X
fis-1879	109	7	e	e	X
fis-1879	109	8	e	e	X
fis-1879	109	9	f	f	PROPN
fis-1879	109	10	df	df	PROPN
fis-1879	109	11	f	f	PROPN
fis-1879	109	12	g	g	PROPN
fis-1879	109	13	e	e	X
fis-1879	109	14	e	e	X
fis-1879	109	15	e	e	X
fis-1879	109	16	e	e	X
fis-1879	109	17	f	f	PROPN
fis-1879	109	18	df	df	PROPN
fis-1879	109	19	f	f	PROPN
fis-1879	109	20	g	g	PROPN
fis-1879	109	21	e	e	PROPN
fis-1879	109	22	(	(	PUNCT
fis-1879	109	23	14	14	NUM
fis-1879	109	24	)	)	PUNCT
fis-1879	109	25	we	we	PRON
fis-1879	109	26	chose	choose	VERB
fis-1879	109	27	to	to	PART
fis-1879	109	28	describe	describe	VERB
fis-1879	109	29	the	the	DET
fis-1879	109	30	roughness	roughness	NOUN
fis-1879	109	31	by	by	ADP
fis-1879	109	32	means	mean	NOUN
fis-1879	109	33	of	of	ADP
fis-1879	109	34	a	a	DET
fis-1879	109	35	saw	saw	NOUN
fis-1879	109	36	-	-	PUNCT
fis-1879	109	37	tooth	tooth	NOUN
fis-1879	109	38	model	model	NOUN
fis-1879	109	39	,	,	PUNCT
fis-1879	109	40	with	with	ADP
fis-1879	109	41	identically	identically	ADV
fis-1879	109	42	shaped	shape	VERB
fis-1879	109	43	asperity	asperity	NOUN
fis-1879	109	44	surfaces	surface	NOUN
fis-1879	109	45	whose	whose	DET
fis-1879	109	46	size	size	NOUN
fis-1879	109	47	is	be	AUX
fis-1879	109	48	characteristic	characteristic	ADJ
fis-1879	109	49	of	of	ADP
fis-1879	109	50	the	the	DET
fis-1879	109	51	type	type	NOUN
fis-1879	109	52	of	of	ADP
fis-1879	109	53	discontinuity	discontinuity	NOUN
fis-1879	109	54	being	be	AUX
fis-1879	109	55	modelled	model	VERB
fis-1879	109	56	,	,	PUNCT
fis-1879	109	57	fig	fig	NOUN
fis-1879	109	58	.	.	PUNCT
fis-1879	110	1	2(b	2(b	NUM
fis-1879	110	2	)	)	PUNCT
fis-1879	110	3	.	.	PUNCT
fis-1879	111	1	moreover	moreover	ADV
fis-1879	111	2	,	,	PUNCT
fis-1879	111	3	we	we	PRON
fis-1879	111	4	assume	assume	VERB
fis-1879	111	5	that	that	SCONJ
fis-1879	111	6	the	the	DET
fis-1879	111	7	amount	amount	NOUN
fis-1879	111	8	of	of	ADP
fis-1879	111	9	tangential	tangential	ADJ
fis-1879	111	10	sliding	sliding	NOUN
fis-1879	111	11	is	be	AUX
fis-1879	111	12	small	small	ADJ
fis-1879	111	13	enough	enough	ADV
fis-1879	111	14	so	so	SCONJ
fis-1879	111	15	that	that	SCONJ
fis-1879	111	16	the	the	DET
fis-1879	111	17	asperity	asperity	NOUN
fis-1879	111	18	peak	peak	NOUN
fis-1879	111	19	of	of	ADP
fis-1879	111	20	one	one	NUM
fis-1879	111	21	surface	surface	NOUN
fis-1879	111	22	does	do	AUX
fis-1879	111	23	not	not	PART
fis-1879	111	24	override	override	VERB
fis-1879	111	25	that	that	PRON
fis-1879	111	26	of	of	ADP
fis-1879	111	27	the	the	DET
fis-1879	111	28	other	other	ADJ
fis-1879	111	29	surface	surface	NOUN
fis-1879	111	30	.	.	PUNCT
fis-1879	112	1	the	the	DET
fis-1879	112	2	slip	slip	NOUN
fis-1879	112	3	function	function	NOUN
fis-1879	112	4	and	and	CCONJ
fis-1879	112	5	slip	slip	VERB
fis-1879	112	6	potential	potential	NOUN
fis-1879	112	7	are	be	AUX
fis-1879	112	8	the	the	DET
fis-1879	112	9	following	follow	VERB
fis-1879	112	10	:	:	PUNCT
fis-1879	112	11			X
fis-1879	112	12			X
fis-1879	112	13			X
fis-1879	112	14			X
fis-1879	112	15			NOUN
fis-1879	112	16			X
fis-1879	112	17			NOUN
fis-1879	112	18			X
fis-1879	112	19			NOUN
fis-1879	112	20			X
fis-1879	112	21			NOUN
fis-1879	112	22			X
fis-1879	112	23			X
fis-1879	112	24			PROPN
fis-1879	112	25			ADV
fis-1879	112	26			VERB
fis-1879	112	27			PROPN
fis-1879	112	28			PROPN
fis-1879	112	29			ADV
fis-1879	112	30	sin	sin	PROPN
fis-1879	112	31	cos	cos	PROPN
fis-1879	112	32	(	(	PUNCT
fis-1879	112	33	cos	cos	X
fis-1879	112	34	sin	sin	NOUN
fis-1879	112	35	)	)	PUNCT
fis-1879	112	36	sin	sin	NOUN
fis-1879	112	37	cos	cos	PROPN
fis-1879	112	38	n	n	PROPN
fis-1879	112	39	k	k	PROPN
fis-1879	112	40	k	k	PROPN
fis-1879	112	41	n	n	PROPN
fis-1879	112	42	k	k	PROPN
fis-1879	112	43	k	k	PROPN
fis-1879	112	44	n	n	PROPN
fis-1879	112	45	ktk	ktk	PROPN
fis-1879	112	46	t	t	PROPN
fis-1879	113	1	tf	tf	INTJ
fis-1879	113	2	g	g	PROPN
fis-1879	113	3	(	(	PUNCT
fis-1879	113	4	15	15	NUM
fis-1879	113	5	)	)	PUNCT
fis-1879	113	6	a.	a.	NOUN
fis-1879	113	7	carpinteri	carpinteri	NOUN
fis-1879	113	8	et	et	PROPN
fis-1879	113	9	alii	alii	PROPN
fis-1879	113	10	,	,	PUNCT
fis-1879	113	11	frattura	frattura	PROPN
fis-1879	113	12	ed	ed	PROPN
fis-1879	113	13	integrità	integrità	PROPN
fis-1879	113	14	strutturale	strutturale	PROPN
fis-1879	113	15	,	,	PUNCT
fis-1879	113	16	41	41	NUM
fis-1879	113	17	(	(	PUNCT
fis-1879	113	18	2017	2017	NUM
fis-1879	113	19	)	)	PUNCT
fis-1879	113	20	175	175	NUM
fis-1879	113	21	-	-	SYM
fis-1879	113	22	182	182	NUM
fis-1879	113	23	;	;	PUNCT
fis-1879	113	24	doi	doi	NOUN
fis-1879	113	25	:	:	PUNCT
fis-1879	113	26	10.3221	10.3221	NUM
fis-1879	113	27	/	/	SYM
fis-1879	113	28	igf	igf	PROPN
fis-1879	113	29	-	-	ADJ
fis-1879	113	30	esis.41.24	esis.41.24	PROPN
fis-1879	113	31	179	179	NUM
fis-1879	113	32	where	where	SCONJ
fis-1879	113	33	k	k	PROPN
fis-1879	113	34	represents	represent	VERB
fis-1879	113	35	the	the	DET
fis-1879	113	36	angle	angle	NOUN
fis-1879	113	37	of	of	ADP
fis-1879	113	38	the	the	DET
fis-1879	113	39	active	active	ADJ
fis-1879	113	40	k	k	PROPN
fis-1879	113	41	asperity	asperity	NOUN
fis-1879	113	42	surface	surface	NOUN
fis-1879	113	43	and	and	CCONJ
fis-1879	113	44			NOUN
fis-1879	113	45	is	be	AUX
fis-1879	113	46	the	the	DET
fis-1879	113	47	coefficient	coefficient	NOUN
fis-1879	113	48	of	of	ADP
fis-1879	113	49	friction	friction	NOUN
fis-1879	113	50	of	of	ADP
fis-1879	113	51	the	the	DET
fis-1879	113	52	coulomb	coulomb	NOUN
fis-1879	113	53	law	law	NOUN
fis-1879	113	54	.	.	PUNCT
fis-1879	114	1	if	if	SCONJ
fis-1879	114	2	roughness	roughness	NOUN
fis-1879	114	3	is	be	AUX
fis-1879	114	4	not	not	PART
fis-1879	114	5	taken	take	VERB
fis-1879	114	6	into	into	ADP
fis-1879	114	7	account	account	NOUN
fis-1879	114	8	,	,	PUNCT
fis-1879	114	9	only	only	ADV
fis-1879	114	10	friction	friction	NOUN
fis-1879	114	11	is	be	AUX
fis-1879	114	12	present	present	ADJ
fis-1879	114	13	and	and	CCONJ
fis-1879	114	14	,	,	PUNCT
fis-1879	114	15	therefore	therefore	ADV
fis-1879	114	16	,	,	PUNCT
fis-1879	114	17	eqs	eqs	X
fis-1879	114	18	.	.	PUNCT
fis-1879	115	1	(	(	PUNCT
fis-1879	115	2	15	15	X
fis-1879	115	3	)	)	PUNCT
fis-1879	115	4	become	become	VERB
fis-1879	115	5	simpler	simple	ADJ
fis-1879	115	6	:	:	PUNCT
fis-1879	115	7			X
fis-1879	115	8			X
fis-1879	115	9			X
fis-1879	115	10			NOUN
fis-1879	115	11			ADV
fis-1879	115	12			PROPN
fis-1879	115	13	t	t	PROPN
fis-1879	115	14	n	n	NOUN
fis-1879	115	15	t	t	PROPN
fis-1879	115	16	f	f	PROPN
fis-1879	115	17	g	g	PROPN
fis-1879	115	18	(	(	PUNCT
fis-1879	115	19	16	16	NUM
fis-1879	115	20	)	)	PUNCT
fis-1879	115	21	figure	figure	NOUN
fis-1879	115	22	2	2	NUM
fis-1879	115	23	:	:	PUNCT
fis-1879	115	24	schematic	schematic	ADJ
fis-1879	115	25	representation	representation	NOUN
fis-1879	115	26	of	of	ADP
fis-1879	115	27	the	the	DET
fis-1879	115	28	model	model	NOUN
fis-1879	115	29	used	use	VERB
fis-1879	115	30	to	to	PART
fis-1879	115	31	describe	describe	VERB
fis-1879	115	32	the	the	DET
fis-1879	115	33	roughness	roughness	NOUN
fis-1879	115	34	of	of	ADP
fis-1879	115	35	the	the	DET
fis-1879	115	36	crack	crack	NOUN
fis-1879	115	37	surfaces	surface	NOUN
fis-1879	115	38	.	.	PUNCT
fis-1879	116	1	(	(	PUNCT
fis-1879	116	2	a	a	X
fis-1879	116	3	)	)	PUNCT
fis-1879	116	4	local	local	ADJ
fis-1879	116	5	tangent	tangent	ADJ
fis-1879	116	6	-	-	PUNCT
fis-1879	116	7	normal	normal	ADJ
fis-1879	116	8	coordinate	coordinate	NOUN
fis-1879	116	9	system	system	NOUN
fis-1879	116	10	at	at	ADP
fis-1879	116	11	a	a	DET
fis-1879	116	12	contact	contact	NOUN
fis-1879	116	13	point	point	NOUN
fis-1879	116	14	pair	pair	NOUN
fis-1879	116	15	(	(	PUNCT
fis-1879	116	16	shown	show	VERB
fis-1879	116	17	separately	separately	ADV
fis-1879	116	18	for	for	ADP
fis-1879	116	19	clarity	clarity	NOUN
fis-1879	116	20	)	)	PUNCT
fis-1879	116	21	.	.	PUNCT
fis-1879	117	1	(	(	PUNCT
fis-1879	117	2	b	b	X
fis-1879	117	3	)	)	PUNCT
fis-1879	117	4	saw	saw	NOUN
fis-1879	117	5	-	-	PUNCT
fis-1879	117	6	tooth	tooth	NOUN
fis-1879	117	7	asperity	asperity	NOUN
fis-1879	117	8	model	model	NOUN
fis-1879	117	9	,	,	PUNCT
fis-1879	117	10	with	with	ADP
fis-1879	117	11	constant	constant	ADJ
fis-1879	117	12	angle	angle	NOUN
fis-1879	117	13	and	and	CCONJ
fis-1879	117	14	asperity	asperity	NOUN
fis-1879	117	15	length	length	NOUN
fis-1879	117	16	.	.	PUNCT
fis-1879	118	1	relationships	relationship	NOUN
fis-1879	118	2	for	for	ADP
fis-1879	118	3	stresses	stress	NOUN
fis-1879	118	4	between	between	ADP
fis-1879	118	5	the	the	DET
fis-1879	118	6	two	two	NUM
fis-1879	118	7	coordinate	coordinate	NOUN
fis-1879	118	8	systems	system	NOUN
fis-1879	118	9	are	be	AUX
fis-1879	118	10	also	also	ADV
fis-1879	118	11	shown	show	VERB
fis-1879	118	12	.	.	PUNCT
fis-1879	119	1	compliance	compliance	NOUN
fis-1879	119	2	matrix	matrix	NOUN
fis-1879	119	3	to	to	PART
fis-1879	119	4	efficiently	efficiently	ADV
fis-1879	119	5	solve	solve	VERB
fis-1879	119	6	the	the	DET
fis-1879	119	7	problem	problem	NOUN
fis-1879	119	8	,	,	PUNCT
fis-1879	119	9	a	a	DET
fis-1879	119	10	compliance	compliance	NOUN
fis-1879	119	11	matrix	matrix	NOUN
fis-1879	119	12	c	c	NOUN
fis-1879	119	13	that	that	PRON
fis-1879	119	14	relates	relate	VERB
fis-1879	119	15	the	the	DET
fis-1879	119	16	stresses	stress	NOUN
fis-1879	119	17	,	,	PUNCT
fis-1879	119	18	arising	arise	VERB
fis-1879	119	19	at	at	ADP
fis-1879	119	20	the	the	DET
fis-1879	119	21	collocation	collocation	NOUN
fis-1879	119	22	points	point	NOUN
fis-1879	119	23	from	from	ADP
fis-1879	119	24	the	the	DET
fis-1879	119	25	applied	apply	VERB
fis-1879	119	26	loads	load	NOUN
fis-1879	119	27	,	,	PUNCT
fis-1879	119	28	to	to	ADP
fis-1879	119	29	the	the	DET
fis-1879	119	30	values	value	NOUN
fis-1879	119	31	of	of	ADP
fis-1879	119	32	the	the	DET
fis-1879	119	33	relative	relative	ADJ
fis-1879	119	34	displacements	displacement	NOUN
fis-1879	119	35	of	of	ADP
fis-1879	119	36	the	the	DET
fis-1879	119	37	crack	crack	NOUN
fis-1879	119	38	at	at	ADP
fis-1879	119	39	the	the	DET
fis-1879	119	40	integration	integration	NOUN
fis-1879	119	41	points	point	NOUN
fis-1879	119	42	can	can	AUX
fis-1879	119	43	be	be	AUX
fis-1879	119	44	obtained	obtain	VERB
fis-1879	119	45	.	.	PUNCT
fis-1879	120	1	the	the	DET
fis-1879	120	2	details	detail	NOUN
fis-1879	120	3	of	of	ADP
fis-1879	120	4	this	this	DET
fis-1879	120	5	procedure	procedure	NOUN
fis-1879	120	6	are	be	AUX
fis-1879	120	7	presented	present	VERB
fis-1879	120	8	in	in	ADP
fis-1879	120	9	[	[	X
fis-1879	120	10	6	6	NUM
fis-1879	120	11	]	]	PUNCT
fis-1879	120	12	.	.	PUNCT
fis-1879	121	1	displacements	displacement	NOUN
fis-1879	121	2	along	along	ADP
fis-1879	121	3	the	the	DET
fis-1879	121	4	crack	crack	NOUN
fis-1879	121	5	,	,	PUNCT
fis-1879	121	6	in	in	ADP
fis-1879	121	7	an	an	DET
fis-1879	121	8	incremental	incremental	ADJ
fis-1879	121	9	form	form	NOUN
fis-1879	121	10	,	,	PUNCT
fis-1879	121	11	are	be	AUX
fis-1879	121	12	related	relate	VERB
fis-1879	121	13	to	to	ADP
fis-1879	121	14	stresses	stress	NOUN
fis-1879	121	15	by	by	ADP
fis-1879	121	16	the	the	DET
fis-1879	121	17	following	follow	VERB
fis-1879	121	18	expression	expression	NOUN
fis-1879	121	19	:	:	PUNCT
fis-1879	121	20			PROPN
fis-1879	121	21			PROPN
fis-1879	121	22			PROPN
fis-1879	121	23			X
fis-1879	121	24			NUM
fis-1879	121	25			ADV
fis-1879	121	26			PROPN
fis-1879	121	27	[	[	X
fis-1879	121	28	,	,	PUNCT
fis-1879	121	29	]	]	X
fis-1879	121	30	[	[	PUNCT
fis-1879	121	31	,	,	PUNCT
fis-1879	121	32	]	]	X
fis-1879	121	33	n	n	CCONJ
fis-1879	121	34	n	n	PROPN
fis-1879	121	35	t	t	NOUN
fis-1879	121	36	t	t	PROPN
fis-1879	121	37	t	t	NOUN
fis-1879	121	38	td	td	NOUN
fis-1879	122	1	d	d	PROPN
fis-1879	122	2	d	d	PROPN
fis-1879	122	3	d	d	PROPN
fis-1879	122	4	d	d	X
fis-1879	122	5	dw	dw	PROPN
fis-1879	122	6	w	w	PROPN
fis-1879	122	7	c	c	PROPN
fis-1879	122	8	(	(	PUNCT
fis-1879	122	9	17	17	NUM
fis-1879	122	10	)	)	PUNCT
fis-1879	122	11	where	where	SCONJ
fis-1879	122	12	we	we	PRON
fis-1879	122	13	have	have	AUX
fis-1879	122	14	collected	collect	VERB
fis-1879	122	15	the	the	DET
fis-1879	122	16	increments	increment	NOUN
fis-1879	122	17	of	of	ADP
fis-1879	122	18	stresses	stress	NOUN
fis-1879	122	19	and	and	CCONJ
fis-1879	122	20	displacements	displacement	NOUN
fis-1879	122	21	in	in	ADP
fis-1879	122	22	ordered	order	VERB
fis-1879	122	23	vectors	vector	NOUN
fis-1879	122	24	,	,	PUNCT
fis-1879	122	25	such	such	ADJ
fis-1879	122	26	that	that	SCONJ
fis-1879	122	27	,	,	PUNCT
fis-1879	122	28	for	for	ADP
fis-1879	122	29	instance	instance	NOUN
fis-1879	122	30	,	,	PUNCT
fis-1879	122	31	we	we	PRON
fis-1879	122	32	have	have	VERB
fis-1879	122	33	dwt	dwt	NOUN
fis-1879	122	34	=	=	PUNCT
fis-1879	123	1	[	[	X
fis-1879	123	2	dw1	dw1	X
fis-1879	123	3	t	t	PROPN
fis-1879	123	4	,	,	PUNCT
fis-1879	123	5	...	...	PUNCT
fis-1879	124	1	dwnt]t	dwnt]t	NOUN
fis-1879	124	2	,	,	PUNCT
fis-1879	124	3	with	with	ADP
fis-1879	124	4	subscripts	subscript	NOUN
fis-1879	124	5	i	i	PRON
fis-1879	124	6	=	=	SYM
fis-1879	124	7	1,	1,	NUM
fis-1879	124	8	...	...	PUNCT
fis-1879	124	9	,n	,n	PUNCT
fis-1879	124	10	referring	refer	VERB
fis-1879	124	11	to	to	ADP
fis-1879	124	12	the	the	DET
fis-1879	124	13	integration	integration	NOUN
fis-1879	124	14	points	point	VERB
fis-1879	124	15	along	along	ADP
fis-1879	124	16	the	the	DET
fis-1879	124	17	crack	crack	NOUN
fis-1879	124	18	.	.	PUNCT
fis-1879	125	1	now	now	ADV
fis-1879	125	2	the	the	DET
fis-1879	125	3	problem	problem	NOUN
fis-1879	125	4	in	in	ADP
fis-1879	125	5	(	(	PUNCT
fis-1879	125	6	6)-(7	6)-(7	NOUN
fis-1879	125	7	)	)	PUNCT
fis-1879	125	8	takes	take	VERB
fis-1879	125	9	the	the	DET
fis-1879	125	10	following	follow	VERB
fis-1879	125	11	formulation	formulation	NOUN
fis-1879	125	12	:	:	PUNCT
fis-1879	126	1			PROPN
fis-1879	126	2			X
fis-1879	126	3			NOUN
fis-1879	126	4			PROPN
fis-1879	126	5	(	(	PUNCT
fis-1879	126	6	)	)	PUNCT
fis-1879	126	7	[	[	PUNCT
fis-1879	126	8	,	,	PUNCT
fis-1879	126	9	]	]	X
fis-1879	126	10	[	[	PUNCT
fis-1879	126	11	,	,	PUNCT
fis-1879	126	12	]	]	X
fis-1879	126	13	tt	tt	PROPN
fis-1879	126	14	ep	ep	PROPN
fis-1879	126	15	n	n	PRON
fis-1879	126	16	td	td	PROPN
fis-1879	126	17	d	d	PROPN
fis-1879	126	18	d	d	X
fis-1879	126	19	di	di	X
fis-1879	126	20	ce	ce	PROPN
fis-1879	126	21	t	t	PROPN
fis-1879	126	22	w	w	PROPN
fis-1879	126	23	w	w	PROPN
fis-1879	126	24	c	c	PROPN
fis-1879	126	25	(	(	PUNCT
fis-1879	126	26	18	18	NUM
fis-1879	126	27	)	)	PUNCT
fis-1879	126	28	where	where	SCONJ
fis-1879	126	29			PROPN
fis-1879	126	30	is	be	AUX
fis-1879	126	31	the	the	DET
fis-1879	126	32	identity	identity	NOUN
fis-1879	126	33	matrix	matrix	NOUN
fis-1879	126	34	and	and	CCONJ
fis-1879	126	35	eep	eep	NOUN
fis-1879	126	36	is	be	AUX
fis-1879	126	37	the	the	DET
fis-1879	126	38	matrix	matrix	NOUN
fis-1879	126	39	containing	contain	VERB
fis-1879	126	40	the	the	DET
fis-1879	126	41	terms	term	NOUN
fis-1879	126	42	described	describe	VERB
fis-1879	126	43	in	in	ADP
fis-1879	126	44	eq	eq	ADP
fis-1879	126	45	.	.	PUNCT
fis-1879	127	1	(	(	PUNCT
fis-1879	127	2	14	14	NUM
fis-1879	127	3	)	)	PUNCT
fis-1879	127	4	.	.	PUNCT
fis-1879	128	1	we	we	PRON
fis-1879	128	2	have	have	AUX
fis-1879	128	3	introduced	introduce	VERB
fis-1879	128	4	a	a	DET
fis-1879	128	5	transformation	transformation	NOUN
fis-1879	128	6	matrix	matrix	NOUN
fis-1879	128	7	t	t	NOUN
fis-1879	128	8	to	to	PART
fis-1879	128	9	express	express	VERB
fis-1879	128	10	crack	crack	NOUN
fis-1879	128	11	displacements	displacement	NOUN
fis-1879	128	12	at	at	ADP
fis-1879	128	13	the	the	DET
fis-1879	128	14	collocation	collocation	NOUN
fis-1879	128	15	points	point	NOUN
fis-1879	128	16	in	in	ADP
fis-1879	128	17	terms	term	NOUN
fis-1879	128	18	of	of	ADP
fis-1879	128	19	those	those	PRON
fis-1879	128	20	at	at	ADP
fis-1879	128	21	the	the	DET
fis-1879	128	22	integration	integration	NOUN
fis-1879	128	23	points	point	NOUN
fis-1879	128	24	,	,	PUNCT
fis-1879	128	25	so	so	SCONJ
fis-1879	128	26	that	that	SCONJ
fis-1879	128	27	the	the	DET
fis-1879	128	28	constitutive	constitutive	ADJ
fis-1879	128	29	law	law	NOUN
fis-1879	128	30	in	in	ADP
fis-1879	128	31	(	(	PUNCT
fis-1879	128	32	13	13	NUM
fis-1879	128	33	)	)	PUNCT
fis-1879	128	34	can	can	AUX
fis-1879	128	35	be	be	AUX
fis-1879	128	36	enforced	enforce	VERB
fis-1879	128	37	.	.	PUNCT
fis-1879	129	1	this	this	DET
fis-1879	129	2	matrix	matrix	NOUN
fis-1879	129	3	is	be	AUX
fis-1879	129	4	built	build	VERB
fis-1879	129	5	using	use	VERB
fis-1879	129	6	krenk	krenk	PROPN
fis-1879	129	7	’s	’s	PART
fis-1879	129	8	interpolation	interpolation	NOUN
fis-1879	129	9	formula	formula	NOUN
fis-1879	129	10	[	[	X
fis-1879	129	11	11	11	NUM
fis-1879	129	12	]	]	PUNCT
fis-1879	129	13	,	,	PUNCT
fis-1879	129	14	in	in	ADP
fis-1879	129	15	order	order	NOUN
fis-1879	129	16	to	to	PART
fis-1879	129	17	obtain	obtain	VERB
fis-1879	129	18	the	the	DET
fis-1879	129	19	values	value	NOUN
fis-1879	129	20	of	of	ADP
fis-1879	129	21	the	the	DET
fis-1879	129	22	unknown	unknown	ADJ
fis-1879	129	23	functions	function	NOUN
fis-1879	129	24	in	in	ADP
fis-1879	129	25	points	point	NOUN
fis-1879	129	26	along	along	ADP
fis-1879	129	27	the	the	DET
fis-1879	129	28	crack	crack	NOUN
fis-1879	129	29	which	which	PRON
fis-1879	129	30	are	be	AUX
fis-1879	129	31	different	different	ADJ
fis-1879	129	32	from	from	ADP
fis-1879	129	33	the	the	DET
fis-1879	129	34	integration	integration	NOUN
fis-1879	129	35	points	point	NOUN
fis-1879	129	36	.	.	PUNCT
fis-1879	130	1	eq	eq	X
fis-1879	130	2	.	.	PUNCT
fis-1879	131	1	(	(	PUNCT
fis-1879	131	2	18	18	NUM
fis-1879	131	3	)	)	PUNCT
fis-1879	131	4	is	be	AUX
fis-1879	131	5	a	a	DET
fis-1879	131	6	system	system	NOUN
fis-1879	131	7	of	of	ADP
fis-1879	131	8	non	non	ADJ
fis-1879	131	9	-	-	ADJ
fis-1879	131	10	linear	linear	ADJ
fis-1879	131	11	algebraic	algebraic	ADJ
fis-1879	131	12	equations	equation	NOUN
fis-1879	131	13	in	in	ADP
fis-1879	131	14	the	the	DET
fis-1879	131	15	2n	2n	NUM
fis-1879	131	16	unknown	unknown	ADJ
fis-1879	131	17	incremental	incremental	ADJ
fis-1879	131	18	relative	relative	ADJ
fis-1879	131	19	displacements	displacement	NOUN
fis-1879	131	20	,	,	PUNCT
fis-1879	131	21	to	to	PART
fis-1879	131	22	be	be	AUX
fis-1879	131	23	solved	solve	VERB
fis-1879	131	24	by	by	ADP
fis-1879	131	25	taking	take	VERB
fis-1879	131	26	small	small	ADJ
fis-1879	131	27	increments	increment	NOUN
fis-1879	131	28	in	in	ADP
fis-1879	131	29	far	far	ADJ
fis-1879	131	30	-	-	PUNCT
fis-1879	131	31	field	field	NOUN
fis-1879	131	32	loading	loading	NOUN
fis-1879	131	33	.	.	PUNCT
fis-1879	132	1	the	the	DET
fis-1879	132	2	stiffness	stiffness	ADJ
fis-1879	132	3	matrix	matrix	NOUN
fis-1879	132	4	eep	eep	NOUN
fis-1879	132	5	needs	need	VERB
fis-1879	132	6	to	to	PART
fis-1879	132	7	be	be	AUX
fis-1879	132	8	updated	update	VERB
fis-1879	132	9	at	at	ADP
fis-1879	132	10	each	each	DET
fis-1879	132	11	step	step	NOUN
fis-1879	132	12	,	,	PUNCT
fis-1879	132	13	using	use	VERB
fis-1879	132	14	the	the	DET
fis-1879	132	15	displacement	displacement	ADJ
fis-1879	132	16	-	-	PUNCT
fis-1879	132	17	stress	stress	NOUN
fis-1879	132	18	configuration	configuration	NOUN
fis-1879	132	19	from	from	ADP
fis-1879	132	20	the	the	DET
fis-1879	132	21	previous	previous	ADJ
fis-1879	132	22	step	step	NOUN
fis-1879	132	23	.	.	PUNCT
fis-1879	133	1	by	by	ADP
fis-1879	133	2	using	use	VERB
fis-1879	133	3	the	the	DET
fis-1879	133	4	compliance	compliance	NOUN
fis-1879	133	5	matrix	matrix	NOUN
fis-1879	133	6	,	,	PUNCT
fis-1879	133	7	the	the	DET
fis-1879	133	8	dislocation	dislocation	NOUN
fis-1879	133	9	densities	density	NOUN
fis-1879	133	10	at	at	ADP
fis-1879	133	11	each	each	DET
fis-1879	133	12	step	step	NOUN
fis-1879	133	13	are	be	AUX
fis-1879	133	14	not	not	PART
fis-1879	133	15	needed	need	VERB
fis-1879	133	16	to	to	PART
fis-1879	133	17	be	be	AUX
fis-1879	133	18	integrated	integrate	VERB
fis-1879	133	19	in	in	ADP
fis-1879	133	20	order	order	NOUN
fis-1879	133	21	to	to	PART
fis-1879	133	22	compute	compute	VERB
fis-1879	133	23	the	the	DET
fis-1879	133	24	relative	relative	ADJ
fis-1879	133	25	displacements	displacement	NOUN
fis-1879	133	26	along	along	ADP
fis-1879	133	27	the	the	DET
fis-1879	133	28	crack	crack	NOUN
fis-1879	133	29	and	and	CCONJ
fis-1879	133	30	,	,	PUNCT
fis-1879	133	31	therefore	therefore	ADV
fis-1879	133	32	,	,	PUNCT
fis-1879	133	33	the	the	DET
fis-1879	133	34	efficiency	efficiency	NOUN
fis-1879	133	35	of	of	ADP
fis-1879	133	36	the	the	DET
fis-1879	133	37	algorithm	algorithm	NOUN
fis-1879	133	38	is	be	AUX
fis-1879	133	39	increased	increase	VERB
fis-1879	133	40	.	.	PUNCT
fis-1879	134	1	a.	a.	PROPN
fis-1879	134	2	carpinteri	carpinteri	PROPN
fis-1879	134	3	et	et	PROPN
fis-1879	134	4	alii	alii	PROPN
fis-1879	134	5	,	,	PUNCT
fis-1879	134	6	frattura	frattura	PROPN
fis-1879	134	7	ed	ed	PROPN
fis-1879	134	8	integrità	integrità	PROPN
fis-1879	134	9	strutturale	strutturale	PROPN
fis-1879	134	10	,	,	PUNCT
fis-1879	134	11	41	41	NUM
fis-1879	134	12	(	(	PUNCT
fis-1879	134	13	2017	2017	NUM
fis-1879	134	14	)	)	PUNCT
fis-1879	134	15	175	175	NUM
fis-1879	134	16	-	-	SYM
fis-1879	134	17	182	182	NUM
fis-1879	134	18	;	;	PUNCT
fis-1879	134	19	doi	doi	NOUN
fis-1879	134	20	:	:	PUNCT
fis-1879	134	21	10.3221	10.3221	NUM
fis-1879	134	22	/	/	SYM
fis-1879	134	23	igf	igf	PROPN
fis-1879	134	24	-	-	ADJ
fis-1879	134	25	esis.41.24	esis.41.24	NOUN
fis-1879	134	26	180	180	NUM
fis-1879	134	27	figure	figure	NOUN
fis-1879	134	28	3	3	NUM
fis-1879	134	29	:	:	PUNCT
fis-1879	134	30	stress	stress	NOUN
fis-1879	134	31	intensity	intensity	NOUN
fis-1879	134	32	factors	factor	NOUN
fis-1879	134	33	as	as	ADP
fis-1879	134	34	functions	function	NOUN
fis-1879	134	35	of	of	ADP
fis-1879	134	36	the	the	DET
fis-1879	134	37	applied	apply	VERB
fis-1879	134	38	stresses	stress	NOUN
fis-1879	134	39	.	.	PUNCT
fis-1879	135	1	(	(	PUNCT
fis-1879	135	2	a	a	X
fis-1879	135	3	)	)	PUNCT
fis-1879	135	4	the	the	DET
fis-1879	135	5	case	case	NOUN
fis-1879	135	6	of	of	ADP
fis-1879	135	7	smooth	smooth	ADJ
fis-1879	135	8	surfaces	surface	NOUN
fis-1879	135	9	,	,	PUNCT
fis-1879	135	10	with	with	ADP
fis-1879	135	11	different	different	ADJ
fis-1879	135	12	values	value	NOUN
fis-1879	135	13	of	of	ADP
fis-1879	135	14	the	the	DET
fis-1879	135	15	coefficient	coefficient	NOUN
fis-1879	135	16	of	of	ADP
fis-1879	135	17	friction	friction	NOUN
fis-1879	135	18	.	.	PUNCT
fis-1879	136	1	(	(	PUNCT
fis-1879	136	2	b	b	X
fis-1879	136	3	)	)	PUNCT
fis-1879	136	4	the	the	DET
fis-1879	136	5	effect	effect	NOUN
fis-1879	136	6	of	of	ADP
fis-1879	136	7	roughness	roughness	NOUN
fis-1879	136	8	is	be	AUX
fis-1879	136	9	included	include	VERB
fis-1879	136	10	and	and	CCONJ
fis-1879	136	11	trends	trend	NOUN
fis-1879	136	12	are	be	AUX
fis-1879	136	13	shown	show	VERB
fis-1879	136	14	for	for	ADP
fis-1879	136	15	different	different	ADJ
fis-1879	136	16	values	value	NOUN
fis-1879	136	17	of	of	ADP
fis-1879	136	18	the	the	DET
fis-1879	136	19	asperity	asperity	NOUN
fis-1879	136	20	angle	angle	NOUN
fis-1879	136	21	.	.	PUNCT
fis-1879	137	1	results	result	NOUN
fis-1879	137	2	e	e	NOUN
fis-1879	137	3	now	now	ADV
fis-1879	137	4	present	present	VERB
fis-1879	137	5	the	the	DET
fis-1879	137	6	results	result	NOUN
fis-1879	137	7	we	we	PRON
fis-1879	137	8	have	have	AUX
fis-1879	137	9	obtained	obtain	VERB
fis-1879	137	10	for	for	ADP
fis-1879	137	11	the	the	DET
fis-1879	137	12	example	example	NOUN
fis-1879	137	13	problem	problem	NOUN
fis-1879	137	14	in	in	ADP
fis-1879	137	15	fig	fig	NOUN
fis-1879	137	16	.	.	PUNCT
fis-1879	138	1	1	1	NUM
fis-1879	138	2	,	,	PUNCT
fis-1879	138	3	consisting	consist	VERB
fis-1879	138	4	of	of	ADP
fis-1879	138	5	an	an	DET
fis-1879	138	6	elastic	elastic	ADJ
fis-1879	138	7	punch	punch	NOUN
fis-1879	138	8	welded	weld	VERB
fis-1879	138	9	to	to	ADP
fis-1879	138	10	a	a	DET
fis-1879	138	11	half	half	ADJ
fis-1879	138	12	-	-	PUNCT
fis-1879	138	13	space	space	NOUN
fis-1879	138	14	made	make	VERB
fis-1879	138	15	of	of	ADP
fis-1879	138	16	the	the	DET
fis-1879	138	17	same	same	ADJ
fis-1879	138	18	material	material	NOUN
fis-1879	138	19	.	.	PUNCT
fis-1879	139	1	the	the	DET
fis-1879	139	2	elastic	elastic	ADJ
fis-1879	139	3	modulus	modulus	NOUN
fis-1879	139	4	is	be	AUX
fis-1879	139	5	e	e	NOUN
fis-1879	139	6	=	=	SYM
fis-1879	139	7	30gpa	30gpa	NOUN
fis-1879	139	8	and	and	CCONJ
fis-1879	139	9	the	the	DET
fis-1879	139	10	poisson	poisson	NOUN
fis-1879	139	11	coefficient	coefficient	NOUN
fis-1879	139	12	is	be	AUX
fis-1879	139	13	=	=	ADJ
fis-1879	139	14	0.25	0.25	NUM
fis-1879	139	15	;	;	PUNCT
fis-1879	139	16	the	the	DET
fis-1879	139	17	fracture	fracture	ADJ
fis-1879	139	18	toughness	toughness	NOUN
fis-1879	139	19	of	of	ADP
fis-1879	139	20	the	the	DET
fis-1879	139	21	material	material	NOUN
fis-1879	139	22	is	be	AUX
fis-1879	139	23	kic	kic	PROPN
fis-1879	139	24	=	=	PUNCT
fis-1879	139	25	1.1	1.1	NUM
fis-1879	139	26	mpam	mpam	NOUN
fis-1879	139	27	.	.	PUNCT
fis-1879	140	1	a	a	DET
fis-1879	140	2	state	state	NOUN
fis-1879	140	3	of	of	ADP
fis-1879	140	4	plane	plane	NOUN
fis-1879	140	5	strain	strain	NOUN
fis-1879	140	6	is	be	AUX
fis-1879	140	7	assumed	assume	VERB
fis-1879	140	8	.	.	PUNCT
fis-1879	141	1	a	a	DET
fis-1879	141	2	crack	crack	NOUN
fis-1879	141	3	of	of	ADP
fis-1879	141	4	length	length	NOUN
fis-1879	141	5	c	c	PROPN
fis-1879	141	6	=	=	SYM
fis-1879	141	7	0.2a	0.2a	NOUN
fis-1879	141	8	is	be	AUX
fis-1879	141	9	present	present	ADJ
fis-1879	141	10	,	,	PUNCT
fis-1879	141	11	whose	whose	DET
fis-1879	141	12	surface	surface	NOUN
fis-1879	141	13	model	model	NOUN
fis-1879	141	14	is	be	AUX
fis-1879	141	15	described	describe	VERB
fis-1879	141	16	by	by	ADP
fis-1879	141	17	the	the	DET
fis-1879	141	18	coefficient	coefficient	NOUN
fis-1879	141	19	of	of	ADP
fis-1879	141	20	friction	friction	NOUN
fis-1879	141	21	and	and	CCONJ
fis-1879	141	22	the	the	DET
fis-1879	141	23	constant	constant	ADJ
fis-1879	141	24	roughness	roughness	NOUN
fis-1879	141	25	angle	angle	NOUN
fis-1879	141	26	k.	k.	PROPN
fis-1879	142	1	the	the	DET
fis-1879	142	2	external	external	ADJ
fis-1879	142	3	loading	loading	NOUN
fis-1879	142	4	applied	apply	VERB
fis-1879	142	5	consists	consist	NOUN
fis-1879	142	6	of	of	ADP
fis-1879	142	7	a	a	DET
fis-1879	142	8	constant	constant	ADJ
fis-1879	142	9	pressure	pressure	NOUN
fis-1879	142	10	p	p	NOUN
fis-1879	142	11	=	=	SYM
fis-1879	142	12	p/2a	p/2a	PROPN
fis-1879	142	13	and	and	CCONJ
fis-1879	142	14	a	a	DET
fis-1879	142	15	shear	shear	NOUN
fis-1879	142	16	traction	traction	NOUN
fis-1879	142	17	q=	q=	ADV
fis-1879	142	18	q/2a	q/2a	PROPN
fis-1879	142	19	which	which	PRON
fis-1879	142	20	is	be	AUX
fis-1879	142	21	monotonically	monotonically	ADV
fis-1879	142	22	increased	increase	VERB
fis-1879	142	23	in	in	ADP
fis-1879	142	24	time	time	NOUN
fis-1879	142	25	.	.	PUNCT
fis-1879	143	1	fig	fig	NOUN
fis-1879	143	2	.	.	PUNCT
fis-1879	144	1	3	3	NUM
fis-1879	144	2	displays	display	VERB
fis-1879	144	3	the	the	DET
fis-1879	144	4	plots	plot	NOUN
fis-1879	144	5	of	of	ADP
fis-1879	144	6	the	the	DET
fis-1879	144	7	stress	stress	NOUN
fis-1879	144	8	intensity	intensity	NOUN
fis-1879	144	9	factors	factor	NOUN
fis-1879	144	10	as	as	ADP
fis-1879	144	11	functions	function	NOUN
fis-1879	144	12	of	of	ADP
fis-1879	144	13	the	the	DET
fis-1879	144	14	far	far	ADJ
fis-1879	144	15	-	-	PUNCT
fis-1879	144	16	field	field	NOUN
fis-1879	144	17	shear	shear	NOUN
fis-1879	144	18	stress	stress	NOUN
fis-1879	144	19	.	.	PUNCT
fis-1879	145	1	fig	fig	NOUN
fis-1879	145	2	.	.	PUNCT
fis-1879	146	1	3(a	3(a	NUM
fis-1879	146	2	)	)	PUNCT
fis-1879	147	1	is	be	AUX
fis-1879	147	2	related	relate	VERB
fis-1879	147	3	to	to	ADP
fis-1879	147	4	the	the	DET
fis-1879	147	5	case	case	NOUN
fis-1879	147	6	of	of	ADP
fis-1879	147	7	smooth	smooth	ADJ
fis-1879	147	8	surfaces	surface	NOUN
fis-1879	147	9	(	(	PUNCT
fis-1879	147	10	=	=	NOUN
fis-1879	147	11	0	0	NUM
fis-1879	147	12	)	)	PUNCT
fis-1879	147	13	,	,	PUNCT
fis-1879	147	14	where	where	SCONJ
fis-1879	147	15	only	only	ADJ
fis-1879	147	16	friction	friction	NOUN
fis-1879	147	17	is	be	AUX
fis-1879	147	18	present	present	ADJ
fis-1879	147	19	.	.	PUNCT
fis-1879	148	1	we	we	PRON
fis-1879	148	2	can	can	AUX
fis-1879	148	3	note	note	VERB
fis-1879	148	4	that	that	SCONJ
fis-1879	148	5	the	the	DET
fis-1879	148	6	effect	effect	NOUN
fis-1879	148	7	of	of	ADP
fis-1879	148	8	friction	friction	NOUN
fis-1879	148	9	is	be	AUX
fis-1879	148	10	rather	rather	ADV
fis-1879	148	11	modest	modest	ADJ
fis-1879	148	12	,	,	PUNCT
fis-1879	148	13	anyway	anyway	ADV
fis-1879	148	14	a	a	DET
fis-1879	148	15	slight	slight	ADJ
fis-1879	148	16	increment	increment	NOUN
fis-1879	148	17	of	of	ADP
fis-1879	148	18	the	the	DET
fis-1879	148	19	absolute	absolute	ADJ
fis-1879	148	20	value	value	NOUN
fis-1879	148	21	of	of	ADP
fis-1879	148	22	mode	mode	PROPN
fis-1879	148	23	ii	ii	PROPN
fis-1879	148	24	factor	factor	NOUN
fis-1879	148	25	with	with	ADP
fis-1879	148	26	increasing	increase	VERB
fis-1879	148	27	friction	friction	NOUN
fis-1879	148	28	is	be	AUX
fis-1879	148	29	observed	observe	VERB
fis-1879	148	30	.	.	PUNCT
fis-1879	149	1	fig	fig	NOUN
fis-1879	149	2	.	.	PUNCT
fis-1879	150	1	3(b	3(b	NUM
fis-1879	150	2	)	)	PUNCT
fis-1879	150	3	plots	plot	VERB
fis-1879	150	4	the	the	DET
fis-1879	150	5	stress	stress	NOUN
fis-1879	150	6	intensity	intensity	NOUN
fis-1879	150	7	factors	factor	NOUN
fis-1879	150	8	for	for	ADP
fis-1879	150	9	different	different	ADJ
fis-1879	150	10	values	value	NOUN
fis-1879	150	11	of	of	ADP
fis-1879	150	12	the	the	DET
fis-1879	150	13	asperity	asperity	NOUN
fis-1879	150	14	angle	angle	NOUN
fis-1879	150	15	.	.	PUNCT
fis-1879	151	1	the	the	DET
fis-1879	151	2	trends	trend	NOUN
fis-1879	151	3	show	show	VERB
fis-1879	151	4	that	that	SCONJ
fis-1879	151	5	,	,	PUNCT
fis-1879	151	6	as	as	ADP
fis-1879	151	7	the	the	DET
fis-1879	151	8	angle	angle	NOUN
fis-1879	151	9	increases	increase	VERB
fis-1879	151	10	,	,	PUNCT
fis-1879	151	11	the	the	DET
fis-1879	151	12	absolute	absolute	ADJ
fis-1879	151	13	value	value	NOUN
fis-1879	151	14	of	of	ADP
fis-1879	151	15	mode	mode	NOUN
fis-1879	151	16	i	i	PRON
fis-1879	151	17	stress	stress	VERB
fis-1879	151	18	intensity	intensity	NOUN
fis-1879	151	19	factor	factor	NOUN
fis-1879	151	20	ki	ki	PROPN
fis-1879	151	21	increases	increase	VERB
fis-1879	151	22	,	,	PUNCT
fis-1879	151	23	while	while	SCONJ
fis-1879	151	24	the	the	DET
fis-1879	151	25	absolute	absolute	ADJ
fis-1879	151	26	value	value	NOUN
fis-1879	151	27	of	of	ADP
fis-1879	151	28	kii	kii	PROPN
fis-1879	151	29	decreases	decrease	VERB
fis-1879	151	30	(	(	PUNCT
fis-1879	151	31	note	note	VERB
fis-1879	151	32	that	that	SCONJ
fis-1879	151	33	they	they	PRON
fis-1879	151	34	are	be	AUX
fis-1879	151	35	both	both	ADV
fis-1879	151	36	negative	negative	ADJ
fis-1879	151	37	)	)	PUNCT
fis-1879	151	38	.	.	PUNCT
fis-1879	152	1	this	this	DET
fis-1879	152	2	behaviour	behaviour	NOUN
fis-1879	152	3	can	can	AUX
fis-1879	152	4	be	be	AUX
fis-1879	152	5	explained	explain	VERB
fis-1879	152	6	considering	consider	VERB
fis-1879	152	7	the	the	DET
fis-1879	152	8	effect	effect	NOUN
fis-1879	152	9	of	of	ADP
fis-1879	152	10	dilatancy	dilatancy	PROPN
fis-1879	152	11	,	,	PUNCT
fis-1879	152	12	which	which	PRON
fis-1879	152	13	affects	affect	VERB
fis-1879	152	14	ki	ki	PROPN
fis-1879	152	15	,	,	PUNCT
fis-1879	152	16	and	and	CCONJ
fis-1879	152	17	the	the	DET
fis-1879	152	18	effect	effect	NOUN
fis-1879	152	19	of	of	ADP
fis-1879	152	20	roughness	roughness	NOUN
fis-1879	152	21	,	,	PUNCT
fis-1879	152	22	which	which	PRON
fis-1879	152	23	increases	increase	VERB
fis-1879	152	24	the	the	DET
fis-1879	152	25	resistance	resistance	NOUN
fis-1879	152	26	to	to	ADP
fis-1879	152	27	sliding	slide	VERB
fis-1879	152	28	displacements	displacement	NOUN
fis-1879	152	29	,	,	PUNCT
fis-1879	152	30	therefore	therefore	ADV
fis-1879	152	31	reducing	reduce	VERB
fis-1879	152	32	the	the	DET
fis-1879	152	33	absolute	absolute	ADJ
fis-1879	152	34	value	value	NOUN
fis-1879	152	35	of	of	ADP
fis-1879	152	36	kii	kii	PROPN
fis-1879	152	37	.	.	PUNCT
fis-1879	153	1	however	however	ADV
fis-1879	153	2	,	,	PUNCT
fis-1879	153	3	one	one	PRON
fis-1879	153	4	should	should	AUX
fis-1879	153	5	be	be	AUX
fis-1879	153	6	careful	careful	ADJ
fis-1879	153	7	to	to	PART
fis-1879	153	8	generalize	generalize	VERB
fis-1879	153	9	this	this	DET
fis-1879	153	10	behaviour	behaviour	NOUN
fis-1879	153	11	,	,	PUNCT
fis-1879	153	12	which	which	PRON
fis-1879	153	13	can	can	AUX
fis-1879	153	14	be	be	AUX
fis-1879	153	15	completely	completely	ADV
fis-1879	153	16	different	different	ADJ
fis-1879	153	17	as	as	SCONJ
fis-1879	153	18	the	the	DET
fis-1879	153	19	coefficient	coefficient	NOUN
fis-1879	153	20	of	of	ADP
fis-1879	153	21	friction	friction	NOUN
fis-1879	153	22	also	also	ADV
fis-1879	153	23	increases	increase	VERB
fis-1879	153	24	.	.	PUNCT
fis-1879	154	1	in	in	ADP
fis-1879	154	2	this	this	DET
fis-1879	154	3	sense	sense	NOUN
fis-1879	154	4	,	,	PUNCT
fis-1879	154	5	more	more	ADJ
fis-1879	154	6	research	research	NOUN
fis-1879	154	7	is	be	AUX
fis-1879	154	8	needed	need	VERB
fis-1879	154	9	to	to	PART
fis-1879	154	10	further	far	ADV
fis-1879	154	11	investigate	investigate	VERB
fis-1879	154	12	the	the	DET
fis-1879	154	13	issue	issue	NOUN
fis-1879	154	14	.	.	PUNCT
fis-1879	155	1	fig	fig	NOUN
fis-1879	155	2	.	.	PUNCT
fis-1879	156	1	4	4	NUM
fis-1879	156	2	displays	display	VERB
fis-1879	156	3	the	the	DET
fis-1879	156	4	dimensionless	dimensionless	NOUN
fis-1879	156	5	fracture	fracture	NOUN
fis-1879	156	6	propagation	propagation	NOUN
fis-1879	156	7	stress	stress	NOUN
fis-1879	156	8	qmax	qmax	PROPN
fis-1879	156	9	/	/	SYM
fis-1879	156	10	p	p	PROPN
fis-1879	156	11	as	as	ADP
fis-1879	156	12	a	a	DET
fis-1879	156	13	function	function	NOUN
fis-1879	156	14	of	of	ADP
fis-1879	156	15	the	the	DET
fis-1879	156	16	coefficient	coefficient	NOUN
fis-1879	156	17	of	of	ADP
fis-1879	156	18	friction	friction	NOUN
fis-1879	156	19	,	,	PUNCT
fis-1879	156	20	in	in	ADP
fis-1879	156	21	the	the	DET
fis-1879	156	22	case	case	NOUN
fis-1879	156	23	of	of	ADP
fis-1879	156	24	smooth	smooth	ADJ
fis-1879	156	25	surfaces	surface	NOUN
fis-1879	156	26	.	.	PUNCT
fis-1879	157	1	here	here	ADV
fis-1879	157	2	,	,	PUNCT
fis-1879	157	3	the	the	DET
fis-1879	157	4	classical	classical	ADJ
fis-1879	157	5	mixed	mixed	ADJ
fis-1879	157	6	-	-	PUNCT
fis-1879	157	7	mode	mode	NOUN
fis-1879	157	8	criterion	criterion	NOUN
fis-1879	157	9	of	of	ADP
fis-1879	157	10	maximum	maximum	ADJ
fis-1879	157	11	tangential	tangential	ADJ
fis-1879	157	12	stress	stress	NOUN
fis-1879	157	13	is	be	AUX
fis-1879	157	14	considered	consider	VERB
fis-1879	157	15	[	[	X
fis-1879	157	16	12	12	NUM
fis-1879	157	17	]	]	PUNCT
fis-1879	157	18	and	and	CCONJ
fis-1879	157	19	the	the	DET
fis-1879	157	20	w	w	PROPN
fis-1879	157	21	a.	a.	NOUN
fis-1879	157	22	carpinteri	carpinteri	PROPN
fis-1879	157	23	et	et	PROPN
fis-1879	157	24	alii	alii	PROPN
fis-1879	157	25	,	,	PUNCT
fis-1879	157	26	frattura	frattura	PROPN
fis-1879	157	27	ed	ed	PROPN
fis-1879	157	28	integrità	integrità	PROPN
fis-1879	157	29	strutturale	strutturale	PROPN
fis-1879	157	30	,	,	PUNCT
fis-1879	157	31	41	41	NUM
fis-1879	157	32	(	(	PUNCT
fis-1879	157	33	2017	2017	NUM
fis-1879	157	34	)	)	PUNCT
fis-1879	157	35	175	175	NUM
fis-1879	157	36	-	-	SYM
fis-1879	157	37	182	182	NUM
fis-1879	157	38	;	;	PUNCT
fis-1879	157	39	doi	doi	NOUN
fis-1879	157	40	:	:	PUNCT
fis-1879	157	41	10.3221	10.3221	NUM
fis-1879	157	42	/	/	SYM
fis-1879	157	43	igf	igf	PROPN
fis-1879	157	44	-	-	ADJ
fis-1879	157	45	esis.41.24	esis.41.24	ADJ
fis-1879	157	46	181	181	NUM
fis-1879	157	47	fracture	fracture	NOUN
fis-1879	157	48	propagation	propagation	NOUN
fis-1879	157	49	stress	stress	NOUN
fis-1879	157	50	is	be	AUX
fis-1879	157	51	obtained	obtain	VERB
fis-1879	157	52	when	when	SCONJ
fis-1879	157	53	the	the	DET
fis-1879	157	54	combined	combined	ADJ
fis-1879	157	55	factor	factor	NOUN
fis-1879	157	56	keff	keff	NOUN
fis-1879	157	57	equals	equal	VERB
fis-1879	157	58	the	the	DET
fis-1879	157	59	fracture	fracture	ADJ
fis-1879	157	60	toughness	toughness	NOUN
fis-1879	157	61	kic	kic	PROPN
fis-1879	157	62	of	of	ADP
fis-1879	157	63	the	the	DET
fis-1879	157	64	material	material	NOUN
fis-1879	157	65	.	.	PUNCT
fis-1879	158	1	according	accord	VERB
fis-1879	158	2	to	to	ADP
fis-1879	158	3	the	the	DET
fis-1879	158	4	fracture	fracture	NOUN
fis-1879	158	5	criterion	criterion	NOUN
fis-1879	158	6	we	we	PRON
fis-1879	158	7	have	have	VERB
fis-1879	158	8	:	:	PUNCT
fis-1879	158	9			PROPN
fis-1879	158	10			PROPN
fis-1879	158	11			PROPN
fis-1879	158	12	3	3	NOUN
fis-1879	158	13	2cos	2co	NOUN
fis-1879	158	14	(	(	PUNCT
fis-1879	158	15	/	/	SYM
fis-1879	158	16	2	2	NUM
fis-1879	158	17	)	)	PUNCT
fis-1879	158	18	3	3	NUM
fis-1879	158	19	cos	cos	X
fis-1879	158	20	(	(	PUNCT
fis-1879	158	21	/	/	SYM
fis-1879	158	22	2)sin	2)sin	NUM
fis-1879	158	23	(	(	PUNCT
fis-1879	158	24	/	/	SYM
fis-1879	158	25	2)eff	2)eff	NUM
fis-1879	158	26	i	i	PRON
fis-1879	158	27	iik	iik	VERB
fis-1879	159	1	k	k	PROPN
fis-1879	159	2	k	k	PROPN
fis-1879	159	3	(	(	PUNCT
fis-1879	159	4	19	19	NUM
fis-1879	159	5	)	)	PUNCT
fis-1879	159	6	where	where	SCONJ
fis-1879	159	7	is	be	AUX
fis-1879	159	8	the	the	DET
fis-1879	159	9	angle	angle	NOUN
fis-1879	159	10	at	at	ADP
fis-1879	159	11	which	which	PRON
fis-1879	159	12	the	the	DET
fis-1879	159	13	crack	crack	NOUN
fis-1879	159	14	will	will	AUX
fis-1879	159	15	extend	extend	VERB
fis-1879	159	16	,	,	PUNCT
fis-1879	159	17	obtained	obtain	VERB
fis-1879	159	18	from	from	ADP
fis-1879	159	19	the	the	DET
fis-1879	159	20	following	follow	VERB
fis-1879	159	21	expression	expression	NOUN
fis-1879	159	22	:	:	PUNCT
fis-1879	159	23			NOUN
fis-1879	159	24			VERB
fis-1879	159	25			PRON
fis-1879	160	1			PROPN
fis-1879	160	2	2	2	X
fis-1879	160	3	2	2	NUM
fis-1879	160	4	1/2tan	1/2tan	PROPN
fis-1879	160	5	/	/	SYM
fis-1879	160	6	2	2	NUM
fis-1879	160	7	0.25	0.25	NUM
fis-1879	160	8	/	/	SYM
fis-1879	160	9	0.25	0.25	NUM
fis-1879	160	10	(	(	PUNCT
fis-1879	160	11	/	/	SYM
fis-1879	160	12	8)ii	8)ii	NOUN
fis-1879	161	1	i	i	PRON
fis-1879	161	2	ii	ii	PROPN
fis-1879	161	3	ik	ik	PROPN
fis-1879	161	4	k	k	PROPN
fis-1879	161	5	k	k	PROPN
fis-1879	161	6	k	k	X
fis-1879	161	7	(	(	PUNCT
fis-1879	161	8	20	20	NUM
fis-1879	161	9	)	)	PUNCT
fis-1879	161	10	the	the	DET
fis-1879	161	11	effect	effect	NOUN
fis-1879	161	12	of	of	ADP
fis-1879	161	13	friction	friction	NOUN
fis-1879	161	14	on	on	ADP
fis-1879	161	15	fracture	fracture	PROPN
fis-1879	161	16	initiation	initiation	NOUN
fis-1879	161	17	is	be	AUX
fis-1879	161	18	notable	notable	ADJ
fis-1879	161	19	in	in	ADP
fis-1879	161	20	fig	fig	NOUN
fis-1879	161	21	.	.	PUNCT
fis-1879	162	1	4	4	NUM
fis-1879	162	2	:	:	PUNCT
fis-1879	162	3	a	a	DET
fis-1879	162	4	strong	strong	ADJ
fis-1879	162	5	increment	increment	NOUN
fis-1879	162	6	in	in	ADP
fis-1879	162	7	the	the	DET
fis-1879	162	8	fracture	fracture	NOUN
fis-1879	162	9	propagation	propagation	NOUN
fis-1879	162	10	stress	stress	NOUN
fis-1879	162	11	is	be	AUX
fis-1879	162	12	observed	observe	VERB
fis-1879	162	13	,	,	PUNCT
fis-1879	162	14	whereas	whereas	SCONJ
fis-1879	162	15	the	the	DET
fis-1879	162	16	propagation	propagation	NOUN
fis-1879	162	17	angle	angle	NOUN
fis-1879	162	18	slightly	slightly	ADV
fis-1879	162	19	decreases	decrease	NOUN
fis-1879	162	20	(	(	PUNCT
fis-1879	162	21	note	note	VERB
fis-1879	162	22	that	that	SCONJ
fis-1879	162	23	the	the	DET
fis-1879	162	24	maximum	maximum	ADJ
fis-1879	162	25	value	value	NOUN
fis-1879	162	26	for	for	ADP
fis-1879	162	27	pure	pure	ADJ
fis-1879	162	28	mode	mode	PROPN
fis-1879	162	29	ii	ii	PROPN
fis-1879	162	30	would	would	AUX
fis-1879	162	31	be	be	AUX
fis-1879	162	32	70.5	70.5	NUM
fis-1879	162	33	°	°	NOUN
fis-1879	163	1	[	[	X
fis-1879	163	2	13	13	NUM
fis-1879	163	3	]	]	NUM
fis-1879	163	4	)	)	PUNCT
fis-1879	163	5	.	.	PUNCT
fis-1879	164	1	figure	figure	VERB
fis-1879	164	2	4	4	NUM
fis-1879	164	3	:	:	PUNCT
fis-1879	164	4	smooth	smooth	ADJ
fis-1879	164	5	surfaces	surface	NOUN
fis-1879	164	6	(	(	PUNCT
fis-1879	164	7	=	=	NOUN
fis-1879	164	8	0	0	NUM
fis-1879	164	9	)	)	PUNCT
fis-1879	164	10	.	.	PUNCT
fis-1879	165	1	fracture	fracture	NOUN
fis-1879	165	2	propagation	propagation	NOUN
fis-1879	165	3	stress	stress	NOUN
fis-1879	165	4	qmax	qmax	PROPN
fis-1879	165	5	is	be	AUX
fis-1879	165	6	shown	show	VERB
fis-1879	165	7	for	for	ADP
fis-1879	165	8	different	different	ADJ
fis-1879	165	9	values	value	NOUN
fis-1879	165	10	of	of	ADP
fis-1879	165	11	the	the	DET
fis-1879	165	12	coefficient	coefficient	NOUN
fis-1879	165	13	of	of	ADP
fis-1879	165	14	friction	friction	NOUN
fis-1879	165	15	.	.	PUNCT
fis-1879	166	1	the	the	DET
fis-1879	166	2	corresponding	correspond	VERB
fis-1879	166	3	propagation	propagation	NOUN
fis-1879	166	4	angle	angle	NOUN
fis-1879	166	5	is	be	AUX
fis-1879	166	6	also	also	ADV
fis-1879	166	7	shown	show	VERB
fis-1879	166	8	.	.	PUNCT
fis-1879	167	1	conclusions	conclusion	NOUN
fis-1879	167	2	n	n	CCONJ
fis-1879	167	3	this	this	DET
fis-1879	167	4	study	study	NOUN
fis-1879	167	5	,	,	PUNCT
fis-1879	167	6	we	we	PRON
fis-1879	167	7	describe	describe	VERB
fis-1879	167	8	the	the	DET
fis-1879	167	9	mixed	mixed	ADJ
fis-1879	167	10	-	-	PUNCT
fis-1879	167	11	mode	mode	NOUN
fis-1879	167	12	tip	tip	NOUN
fis-1879	167	13	stress	stress	NOUN
fis-1879	167	14	field	field	NOUN
fis-1879	167	15	of	of	ADP
fis-1879	167	16	a	a	DET
fis-1879	167	17	crack	crack	NOUN
fis-1879	167	18	emanating	emanate	VERB
fis-1879	167	19	from	from	ADP
fis-1879	167	20	a	a	DET
fis-1879	167	21	re	re	ADJ
fis-1879	167	22	-	-	NOUN
fis-1879	167	23	entrant	entrant	ADJ
fis-1879	167	24	corner	corner	NOUN
fis-1879	167	25	,	,	PUNCT
fis-1879	167	26	using	use	VERB
fis-1879	167	27	the	the	DET
fis-1879	167	28	williams	williams	PROPN
fis-1879	167	29	solution	solution	NOUN
fis-1879	167	30	in	in	ADP
fis-1879	167	31	combination	combination	NOUN
fis-1879	167	32	with	with	ADP
fis-1879	167	33	an	an	DET
fis-1879	167	34	appropriate	appropriate	ADJ
fis-1879	167	35	edge	edge	NOUN
fis-1879	167	36	dislocation	dislocation	NOUN
fis-1879	167	37	distribution	distribution	NOUN
fis-1879	167	38	along	along	ADP
fis-1879	167	39	the	the	DET
fis-1879	167	40	crack	crack	NOUN
fis-1879	167	41	line	line	NOUN
fis-1879	167	42	.	.	PUNCT
fis-1879	168	1	the	the	DET
fis-1879	168	2	behaviour	behaviour	NOUN
fis-1879	168	3	of	of	ADP
fis-1879	168	4	a	a	DET
fis-1879	168	5	rough	rough	ADJ
fis-1879	168	6	and	and	CCONJ
fis-1879	168	7	frictional	frictional	ADJ
fis-1879	168	8	crack	crack	NOUN
fis-1879	168	9	is	be	AUX
fis-1879	168	10	conveniently	conveniently	ADV
fis-1879	168	11	described	describe	VERB
fis-1879	168	12	by	by	ADP
fis-1879	168	13	an	an	DET
fis-1879	168	14	interface	interface	NOUN
fis-1879	168	15	model	model	NOUN
fis-1879	168	16	where	where	SCONJ
fis-1879	168	17	a	a	DET
fis-1879	168	18	rigid	rigid	ADJ
fis-1879	168	19	-	-	PUNCT
fis-1879	168	20	plastic	plastic	NOUN
fis-1879	168	21	constitutive	constitutive	ADJ
fis-1879	168	22	relationship	relationship	NOUN
fis-1879	168	23	between	between	ADP
fis-1879	168	24	stresses	stress	NOUN
fis-1879	168	25	and	and	CCONJ
fis-1879	168	26	relative	relative	ADJ
fis-1879	168	27	displacements	displacement	NOUN
fis-1879	168	28	along	along	ADP
fis-1879	168	29	the	the	DET
fis-1879	168	30	crack	crack	NOUN
fis-1879	168	31	and	and	CCONJ
fis-1879	168	32	a	a	DET
fis-1879	168	33	slip	slip	NOUN
fis-1879	168	34	function	function	NOUN
fis-1879	168	35	with	with	ADP
fis-1879	168	36	nonassociated	nonassociate	VERB
fis-1879	168	37	flow	flow	NOUN
fis-1879	168	38	are	be	AUX
fis-1879	168	39	used	use	VERB
fis-1879	168	40	.	.	PUNCT
fis-1879	169	1	the	the	DET
fis-1879	169	2	results	result	NOUN
fis-1879	169	3	we	we	PRON
fis-1879	169	4	have	have	AUX
fis-1879	169	5	obtained	obtain	VERB
fis-1879	169	6	clearly	clearly	ADV
fis-1879	169	7	show	show	VERB
fis-1879	169	8	that	that	SCONJ
fis-1879	169	9	the	the	DET
fis-1879	169	10	effect	effect	NOUN
fis-1879	169	11	of	of	ADP
fis-1879	169	12	friction	friction	NOUN
fis-1879	169	13	and	and	CCONJ
fis-1879	169	14	roughness	roughness	NOUN
fis-1879	169	15	is	be	AUX
fis-1879	169	16	remarkable	remarkable	ADJ
fis-1879	169	17	.	.	PUNCT
fis-1879	170	1	in	in	ADP
fis-1879	170	2	particular	particular	ADJ
fis-1879	170	3	,	,	PUNCT
fis-1879	170	4	the	the	DET
fis-1879	170	5	effect	effect	NOUN
fis-1879	170	6	of	of	ADP
fis-1879	170	7	dilatancy	dilatancy	NOUN
fis-1879	170	8	increases	increase	VERB
fis-1879	170	9	the	the	DET
fis-1879	170	10	values	value	NOUN
fis-1879	170	11	of	of	ADP
fis-1879	170	12	the	the	DET
fis-1879	170	13	(	(	PUNCT
fis-1879	170	14	negative	negative	ADJ
fis-1879	170	15	)	)	PUNCT
fis-1879	170	16	mode	mode	NOUN
fis-1879	170	17	i	i	PRON
fis-1879	170	18	stress	stress	VERB
fis-1879	170	19	intensity	intensity	NOUN
fis-1879	170	20	factor	factor	NOUN
fis-1879	170	21	while	while	SCONJ
fis-1879	170	22	it	it	PRON
fis-1879	170	23	simultaneously	simultaneously	ADV
fis-1879	170	24	reduces	reduce	VERB
fis-1879	170	25	the	the	DET
fis-1879	170	26	mode	mode	PROPN
fis-1879	170	27	ii	ii	NOUN
fis-1879	170	28	factor	factor	NOUN
fis-1879	170	29	when	when	SCONJ
fis-1879	170	30	the	the	DET
fis-1879	170	31	roughness	roughness	NOUN
fis-1879	170	32	angle	angle	NOUN
fis-1879	170	33	increases	increase	NOUN
fis-1879	170	34	.	.	PUNCT
fis-1879	171	1	moreover	moreover	ADV
fis-1879	171	2	,	,	PUNCT
fis-1879	171	3	the	the	DET
fis-1879	171	4	fracture	fracture	NOUN
fis-1879	171	5	propagation	propagation	NOUN
fis-1879	171	6	load	load	NOUN
fis-1879	171	7	is	be	AUX
fis-1879	171	8	strongly	strongly	ADV
fis-1879	171	9	influenced	influence	VERB
fis-1879	171	10	by	by	ADP
fis-1879	171	11	friction	friction	NOUN
fis-1879	171	12	.	.	PUNCT
fis-1879	172	1	references	reference	NOUN
fis-1879	172	2	[	[	X
fis-1879	172	3	1	1	NUM
fis-1879	172	4	]	]	PUNCT
fis-1879	172	5	murakami	murakami	NOUN
fis-1879	172	6	,	,	PUNCT
fis-1879	172	7	y.	y.	PROPN
fis-1879	172	8	(	(	PUNCT
fis-1879	172	9	ed	ed	NOUN
fis-1879	172	10	.	.	PUNCT
fis-1879	172	11	)	)	PUNCT
fis-1879	172	12	,	,	PUNCT
fis-1879	172	13	stress	stress	NOUN
fis-1879	172	14	intensity	intensity	NOUN
fis-1879	172	15	factors	factor	NOUN
fis-1879	172	16	handbook	handbook	NOUN
fis-1879	172	17	,	,	PUNCT
fis-1879	172	18	vol	vol	NOUN
fis-1879	172	19	.	.	PROPN
fis-1879	172	20	1	1	NUM
fis-1879	172	21	,	,	PUNCT
fis-1879	172	22	pergamon	pergamon	NOUN
fis-1879	172	23	press	press	PROPN
fis-1879	172	24	,	,	PUNCT
fis-1879	172	25	new	new	PROPN
fis-1879	172	26	york	york	PROPN
fis-1879	172	27	,	,	PUNCT
fis-1879	172	28	(	(	PUNCT
fis-1879	172	29	1987	1987	NUM
fis-1879	172	30	)	)	PUNCT
fis-1879	172	31	.	.	PUNCT
fis-1879	173	1	[	[	X
fis-1879	173	2	2	2	NUM
fis-1879	173	3	]	]	X
fis-1879	173	4	williams	williams	PROPN
fis-1879	173	5	,	,	PUNCT
fis-1879	173	6	m.l	m.l	PROPN
fis-1879	173	7	.	.	PROPN
fis-1879	173	8	,	,	PUNCT
fis-1879	173	9	stress	stress	NOUN
fis-1879	173	10	singularities	singularity	NOUN
fis-1879	173	11	resulting	result	VERB
fis-1879	173	12	from	from	ADP
fis-1879	173	13	various	various	ADJ
fis-1879	173	14	boundary	boundary	ADJ
fis-1879	173	15	conditions	condition	NOUN
fis-1879	173	16	in	in	ADP
fis-1879	173	17	angular	angular	ADJ
fis-1879	173	18	corners	corner	NOUN
fis-1879	173	19	of	of	ADP
fis-1879	173	20	plates	plate	NOUN
fis-1879	173	21	in	in	ADP
fis-1879	173	22	extension	extension	NOUN
fis-1879	173	23	,	,	PUNCT
fis-1879	173	24	j.	j.	PROPN
fis-1879	173	25	appl	appl	PROPN
fis-1879	173	26	.	.	PROPN
fis-1879	173	27	mech	mech	PROPN
fis-1879	173	28	.	.	PROPN
fis-1879	173	29	,	,	PUNCT
fis-1879	173	30	19	19	NUM
fis-1879	173	31	(	(	PUNCT
fis-1879	173	32	1952	1952	NUM
fis-1879	173	33	)	)	PUNCT
fis-1879	173	34	526–528	526–528	NUM
fis-1879	173	35	.	.	PUNCT
fis-1879	174	1	[	[	X
fis-1879	174	2	3	3	NUM
fis-1879	174	3	]	]	X
fis-1879	174	4	churchman	churchman	NOUN
fis-1879	174	5	,	,	PUNCT
fis-1879	174	6	c.m	c.m	PROPN
fis-1879	174	7	.	.	PROPN
fis-1879	174	8	,	,	PUNCT
fis-1879	174	9	hills	hill	NOUN
fis-1879	174	10	,	,	PUNCT
fis-1879	174	11	d.a	d.a	PROPN
fis-1879	174	12	.	.	PROPN
fis-1879	174	13	,	,	PUNCT
fis-1879	174	14	the	the	DET
fis-1879	174	15	edge	edge	NOUN
fis-1879	174	16	dislocation	dislocation	NOUN
fis-1879	174	17	in	in	ADP
fis-1879	174	18	a	a	DET
fis-1879	174	19	three	three	NUM
fis-1879	174	20	-	-	PUNCT
fis-1879	174	21	quarter	quarter	NOUN
fis-1879	174	22	plane	plane	NOUN
fis-1879	174	23	.	.	PUNCT
fis-1879	175	1	part	part	PROPN
fis-1879	175	2	ii	ii	PROPN
fis-1879	175	3	:	:	PUNCT
fis-1879	175	4	application	application	NOUN
fis-1879	175	5	to	to	ADP
fis-1879	175	6	an	an	DET
fis-1879	175	7	edge	edge	NOUN
fis-1879	175	8	crack	crack	NOUN
fis-1879	175	9	,	,	PUNCT
fis-1879	175	10	eur	eur	PROPN
fis-1879	175	11	.	.	PUNCT
fis-1879	176	1	j.	j.	PROPN
fis-1879	176	2	mech	mech	PROPN
fis-1879	176	3	.	.	PUNCT
fis-1879	177	1	a	a	DET
fis-1879	177	2	solids	solid	NOUN
fis-1879	177	3	,	,	PUNCT
fis-1879	177	4	25	25	NUM
fis-1879	177	5	(	(	PUNCT
fis-1879	177	6	2006	2006	NUM
fis-1879	177	7	)	)	PUNCT
fis-1879	178	1	389–396	389–396	NUM
fis-1879	178	2	.	.	PUNCT
fis-1879	179	1	i	i	PRON
fis-1879	179	2	a.	a.	NOUN
fis-1879	179	3	carpinteri	carpinteri	PROPN
fis-1879	179	4	et	et	PROPN
fis-1879	179	5	alii	alii	PROPN
fis-1879	179	6	,	,	PUNCT
fis-1879	179	7	frattura	frattura	PROPN
fis-1879	179	8	ed	ed	PROPN
fis-1879	179	9	integrità	integrità	PROPN
fis-1879	179	10	strutturale	strutturale	PROPN
fis-1879	179	11	,	,	PUNCT
fis-1879	179	12	41	41	NUM
fis-1879	179	13	(	(	PUNCT
fis-1879	179	14	2017	2017	NUM
fis-1879	179	15	)	)	PUNCT
fis-1879	179	16	175	175	NUM
fis-1879	179	17	-	-	SYM
fis-1879	179	18	182	182	NUM
fis-1879	179	19	;	;	PUNCT
fis-1879	179	20	doi	doi	NOUN
fis-1879	179	21	:	:	PUNCT
fis-1879	179	22	10.3221	10.3221	NUM
fis-1879	179	23	/	/	SYM
fis-1879	179	24	igf	igf	NOUN
fis-1879	179	25	-	-	NOUN
fis-1879	179	26	esis.41.24	esis.41.24	NOUN
fis-1879	179	27	182	182	NUM
fis-1879	179	28	[	[	NOUN
fis-1879	179	29	4	4	NUM
fis-1879	179	30	]	]	X
fis-1879	179	31	carpinteri	carpinteri	NOUN
fis-1879	179	32	,	,	PUNCT
fis-1879	179	33	an	an	PROPN
fis-1879	179	34	.	.	PROPN
fis-1879	179	35	,	,	PUNCT
fis-1879	179	36	spagnoli	spagnoli	PROPN
fis-1879	179	37	,	,	PUNCT
fis-1879	179	38	a.	a.	NOUN
fis-1879	179	39	,	,	PUNCT
fis-1879	179	40	vantadori	vantadori	PROPN
fis-1879	179	41	,	,	PUNCT
fis-1879	179	42	s.	s.	PROPN
fis-1879	179	43	,	,	PUNCT
fis-1879	179	44	viappiani	viappiani	PROPN
fis-1879	179	45	,	,	PUNCT
fis-1879	179	46	d.	d.	PROPN
fis-1879	179	47	,	,	PUNCT
fis-1879	179	48	influence	influence	NOUN
fis-1879	179	49	of	of	ADP
fis-1879	179	50	the	the	DET
fis-1879	179	51	crack	crack	NOUN
fis-1879	179	52	morphology	morphology	NOUN
fis-1879	179	53	on	on	ADP
fis-1879	179	54	the	the	DET
fis-1879	179	55	fatigue	fatigue	NOUN
fis-1879	179	56	crack	crack	VERB
fis-1879	179	57	growth	growth	NOUN
fis-1879	179	58	rate	rate	NOUN
fis-1879	179	59	:	:	PUNCT
fis-1879	179	60	a	a	DET
fis-1879	179	61	continuously	continuously	ADV
fis-1879	179	62	-	-	PUNCT
fis-1879	179	63	kinked	kink	VERB
fis-1879	179	64	crack	crack	NOUN
fis-1879	179	65	model	model	NOUN
fis-1879	179	66	based	base	VERB
fis-1879	179	67	on	on	ADP
fis-1879	179	68	fractals	fractal	NOUN
fis-1879	179	69	,	,	PUNCT
fis-1879	179	70	eng	eng	PROPN
fis-1879	179	71	.	.	PROPN
fis-1879	179	72	fract	fract	PROPN
fis-1879	179	73	.	.	PUNCT
fis-1879	180	1	mech	mech	PROPN
fis-1879	180	2	.	.	PROPN
fis-1879	180	3	,	,	PUNCT
fis-1879	180	4	75	75	NUM
fis-1879	180	5	(	(	PUNCT
fis-1879	180	6	2012	2012	NUM
fis-1879	180	7	)	)	PUNCT
fis-1879	180	8	579	579	NUM
fis-1879	180	9	-	-	SYM
fis-1879	180	10	589	589	NUM
fis-1879	180	11	.	.	PUNCT
fis-1879	181	1	[	[	X
fis-1879	181	2	5	5	NUM
fis-1879	181	3	]	]	PUNCT
fis-1879	181	4	brighenti	brighenti	PROPN
fis-1879	181	5	,	,	PUNCT
fis-1879	181	6	r.	r.	PROPN
fis-1879	181	7	,	,	PUNCT
fis-1879	181	8	carpinteri	carpinteri	PROPN
fis-1879	181	9	,	,	PUNCT
fis-1879	181	10	an	an	PROPN
fis-1879	181	11	.	.	PROPN
fis-1879	181	12	,	,	PUNCT
fis-1879	181	13	spagnoli	spagnoli	PROPN
fis-1879	181	14	,	,	PUNCT
fis-1879	181	15	a.	a.	NOUN
fis-1879	181	16	,	,	PUNCT
fis-1879	181	17	scorza	scorza	PROPN
fis-1879	181	18	,	,	PUNCT
fis-1879	181	19	d.	d.	PROPN
fis-1879	181	20	,	,	PUNCT
fis-1879	181	21	crack	crack	VERB
fis-1879	181	22	path	path	NOUN
fis-1879	181	23	dependence	dependence	NOUN
fis-1879	181	24	on	on	ADP
fis-1879	181	25	inhomogeneities	inhomogeneity	NOUN
fis-1879	181	26	of	of	ADP
fis-1879	181	27	material	material	NOUN
fis-1879	181	28	microstructure	microstructure	NOUN
fis-1879	181	29	,	,	PUNCT
fis-1879	181	30	frattura	frattura	NOUN
fis-1879	181	31	ed	ed	PROPN
fis-1879	181	32	integrità	integrità	PROPN
fis-1879	181	33	strutturale	strutturale	PROPN
fis-1879	181	34	,	,	PUNCT
fis-1879	181	35	20	20	NUM
fis-1879	181	36	(	(	PUNCT
fis-1879	181	37	2012	2012	NUM
fis-1879	181	38	)	)	PUNCT
fis-1879	181	39	6	6	NUM
fis-1879	181	40	-	-	SYM
fis-1879	181	41	16	16	NUM
fis-1879	181	42	.	.	PUNCT
fis-1879	182	1	[	[	X
fis-1879	182	2	6	6	NUM
fis-1879	182	3	]	]	PUNCT
fis-1879	182	4	ballarini	ballarini	PROPN
fis-1879	182	5	,	,	PUNCT
fis-1879	182	6	r.	r.	PROPN
fis-1879	182	7	,	,	PUNCT
fis-1879	182	8	plesha	plesha	NOUN
fis-1879	182	9	,	,	PUNCT
fis-1879	182	10	m.e	m.e	PROPN
fis-1879	182	11	.	.	PROPN
fis-1879	182	12	,	,	PUNCT
fis-1879	182	13	the	the	DET
fis-1879	182	14	effects	effect	NOUN
fis-1879	182	15	of	of	ADP
fis-1879	182	16	crack	crack	NOUN
fis-1879	182	17	surface	surface	NOUN
fis-1879	182	18	friction	friction	NOUN
fis-1879	182	19	and	and	CCONJ
fis-1879	182	20	roughness	roughness	NOUN
fis-1879	182	21	on	on	ADP
fis-1879	182	22	crack	crack	NOUN
fis-1879	182	23	tip	tip	NOUN
fis-1879	182	24	stress	stress	NOUN
fis-1879	182	25	fields	field	NOUN
fis-1879	182	26	,	,	PUNCT
fis-1879	182	27	int	int	NOUN
fis-1879	182	28	.	.	PUNCT
fis-1879	183	1	j.	j.	PROPN
fis-1879	183	2	fract	fract	PROPN
fis-1879	183	3	.	.	PROPN
fis-1879	184	1	,	,	PUNCT
fis-1879	184	2	34	34	NUM
fis-1879	184	3	(	(	PUNCT
fis-1879	184	4	1987	1987	NUM
fis-1879	184	5	)	)	PUNCT
fis-1879	184	6	195–207	195–207	NUM
fis-1879	184	7	.	.	PUNCT
fis-1879	185	1	[	[	X
fis-1879	185	2	7	7	NUM
fis-1879	185	3	]	]	SYM
fis-1879	185	4	plesha	plesha	NOUN
fis-1879	185	5	,	,	PUNCT
fis-1879	185	6	m.e	m.e	PROPN
fis-1879	185	7	.	.	PROPN
fis-1879	185	8	,	,	PUNCT
fis-1879	185	9	constitutive	constitutive	ADJ
fis-1879	185	10	models	model	NOUN
fis-1879	185	11	for	for	ADP
fis-1879	185	12	rock	rock	NOUN
fis-1879	185	13	discontinuities	discontinuity	NOUN
fis-1879	185	14	with	with	ADP
fis-1879	185	15	dilatancy	dilatancy	NOUN
fis-1879	185	16	and	and	CCONJ
fis-1879	185	17	surface	surface	NOUN
fis-1879	185	18	degradation	degradation	NOUN
fis-1879	185	19	,	,	PUNCT
fis-1879	185	20	int	int	NOUN
fis-1879	185	21	.	.	PUNCT
fis-1879	186	1	j.	j.	PROPN
fis-1879	186	2	numer	numer	PROPN
fis-1879	186	3	.	.	PUNCT
fis-1879	187	1	anal	anal	PROPN
fis-1879	187	2	.	.	PUNCT
fis-1879	188	1	methods	method	NOUN
fis-1879	188	2	geomech	geomech	PROPN
fis-1879	188	3	.	.	PUNCT
fis-1879	188	4	,	,	PUNCT
fis-1879	188	5	11	11	NUM
fis-1879	188	6	(	(	PUNCT
fis-1879	188	7	1987	1987	NUM
fis-1879	188	8	)	)	PUNCT
fis-1879	188	9	345–362	345–362	NUM
fis-1879	188	10	.	.	PUNCT
fis-1879	189	1	[	[	X
fis-1879	189	2	8	8	NUM
fis-1879	189	3	]	]	X
fis-1879	189	4	carpinteri	carpinteri	NOUN
fis-1879	189	5	,	,	PUNCT
fis-1879	189	6	al	al	PROPN
fis-1879	189	7	.	.	PROPN
fis-1879	189	8	,	,	PUNCT
fis-1879	189	9	scavia	scavia	PROPN
fis-1879	189	10	,	,	PUNCT
fis-1879	189	11	c.	c.	PROPN
fis-1879	189	12	,	,	PUNCT
fis-1879	189	13	energy	energy	NOUN
fis-1879	189	14	dissipation	dissipation	NOUN
fis-1879	189	15	due	due	ADP
fis-1879	189	16	to	to	ADP
fis-1879	189	17	frictional	frictional	ADJ
fis-1879	189	18	shake	shake	NOUN
fis-1879	189	19	-	-	PUNCT
fis-1879	189	20	down	down	NOUN
fis-1879	189	21	on	on	ADP
fis-1879	189	22	a	a	DET
fis-1879	189	23	closed	close	VERB
fis-1879	189	24	crack	crack	NOUN
fis-1879	189	25	subjected	subject	VERB
fis-1879	189	26	to	to	ADP
fis-1879	189	27	shear	shear	NOUN
fis-1879	189	28	,	,	PUNCT
fis-1879	189	29	meccanica	meccanica	PROPN
fis-1879	189	30	,	,	PUNCT
fis-1879	189	31	28	28	NUM
fis-1879	189	32	(	(	PUNCT
fis-1879	189	33	1993	1993	NUM
fis-1879	189	34	)	)	PUNCT
fis-1879	189	35	347	347	NUM
fis-1879	189	36	-	-	SYM
fis-1879	189	37	352	352	NUM
fis-1879	189	38	.	.	PUNCT
fis-1879	190	1	[	[	X
fis-1879	190	2	9	9	NUM
fis-1879	190	3	]	]	SYM
fis-1879	190	4	klarbring	klarbring	NOUN
fis-1879	190	5	,	,	PUNCT
fis-1879	190	6	a.	a.	NOUN
fis-1879	190	7	,	,	PUNCT
fis-1879	190	8	barber	barber	PROPN
fis-1879	190	9	,	,	PUNCT
fis-1879	190	10	j.r	j.r	PROPN
fis-1879	190	11	.	.	PROPN
fis-1879	190	12	,	,	PUNCT
fis-1879	190	13	spagnoli	spagnoli	PROPN
fis-1879	190	14	,	,	PUNCT
fis-1879	190	15	a.	a.	PROPN
fis-1879	190	16	,	,	PUNCT
fis-1879	190	17	terzano	terzano	PROPN
fis-1879	190	18	,	,	PUNCT
fis-1879	190	19	m.	m.	NOUN
fis-1879	190	20	,	,	PUNCT
fis-1879	190	21	shakedown	shakedown	NOUN
fis-1879	190	22	of	of	ADP
fis-1879	190	23	discrete	discrete	ADJ
fis-1879	190	24	systems	system	NOUN
fis-1879	190	25	involving	involve	VERB
fis-1879	190	26	plasticity	plasticity	NOUN
fis-1879	190	27	and	and	CCONJ
fis-1879	190	28	friction	friction	NOUN
fis-1879	190	29	,	,	PUNCT
fis-1879	190	30	eur	eur	PROPN
fis-1879	190	31	.	.	PUNCT
fis-1879	190	32	j.	j.	PROPN
fis-1879	190	33	mech	mech	PROPN
fis-1879	190	34	.	.	PUNCT
fis-1879	191	1	a	a	DET
fis-1879	191	2	solids	solid	NOUN
fis-1879	191	3	,	,	PUNCT
fis-1879	191	4	64	64	NUM
fis-1879	191	5	(	(	PUNCT
fis-1879	191	6	2017	2017	NUM
fis-1879	191	7	)	)	PUNCT
fis-1879	191	8	160	160	NUM
fis-1879	191	9	-	-	SYM
fis-1879	191	10	164	164	NUM
fis-1879	191	11	.	.	PUNCT
fis-1879	192	1	[	[	X
fis-1879	192	2	10	10	NUM
fis-1879	192	3	]	]	PUNCT
fis-1879	192	4	erdogan	erdogan	X
fis-1879	192	5	,	,	PUNCT
fis-1879	192	6	f.	f.	PROPN
fis-1879	192	7	,	,	PUNCT
fis-1879	192	8	gupta	gupta	PROPN
fis-1879	192	9	,	,	PUNCT
fis-1879	192	10	g.d	g.d	PROPN
fis-1879	192	11	.	.	PROPN
fis-1879	192	12	,	,	PUNCT
fis-1879	192	13	cook	cook	PROPN
fis-1879	192	14	,	,	PUNCT
fis-1879	192	15	t.s	t.s	PROPN
fis-1879	192	16	.	.	PROPN
fis-1879	192	17	,	,	PUNCT
fis-1879	192	18	numerical	numerical	ADJ
fis-1879	192	19	solution	solution	NOUN
fis-1879	192	20	of	of	ADP
fis-1879	192	21	singular	singular	ADJ
fis-1879	192	22	integral	integral	ADJ
fis-1879	192	23	equations	equation	NOUN
fis-1879	192	24	,	,	PUNCT
fis-1879	192	25	in	in	ADP
fis-1879	192	26	:	:	PUNCT
fis-1879	192	27	sih	sih	PROPN
fis-1879	192	28	,	,	PUNCT
fis-1879	192	29	g.c	g.c	PROPN
fis-1879	192	30	.	.	PROPN
fis-1879	192	31	(	(	PUNCT
fis-1879	192	32	ed	ed	NOUN
fis-1879	192	33	.	.	PUNCT
fis-1879	192	34	)	)	PUNCT
fis-1879	192	35	,	,	PUNCT
fis-1879	192	36	methods	method	NOUN
fis-1879	192	37	of	of	ADP
fis-1879	192	38	analysis	analysis	NOUN
fis-1879	192	39	and	and	CCONJ
fis-1879	192	40	solutions	solution	NOUN
fis-1879	192	41	of	of	ADP
fis-1879	192	42	crack	crack	NOUN
fis-1879	192	43	problems	problem	NOUN
fis-1879	192	44	,	,	PUNCT
fis-1879	192	45	noordhoff	noordhoff	PROPN
fis-1879	192	46	,	,	PUNCT
fis-1879	192	47	groningen	groningen	PROPN
fis-1879	192	48	,	,	PUNCT
fis-1879	192	49	(	(	PUNCT
fis-1879	192	50	1973	1973	NUM
fis-1879	192	51	)	)	PUNCT
fis-1879	193	1	368–425	368–425	NUM
fis-1879	193	2	.	.	PUNCT
fis-1879	194	1	[	[	X
fis-1879	194	2	11	11	NUM
fis-1879	194	3	]	]	PUNCT
fis-1879	194	4	hills	hill	NOUN
fis-1879	194	5	,	,	PUNCT
fis-1879	194	6	d.a	d.a	PROPN
fis-1879	194	7	.	.	PROPN
fis-1879	194	8	,	,	PUNCT
fis-1879	194	9	kelly	kelly	PROPN
fis-1879	194	10	,	,	PUNCT
fis-1879	194	11	p.a	p.a	PROPN
fis-1879	194	12	.	.	PROPN
fis-1879	194	13	,	,	PUNCT
fis-1879	194	14	dai	dai	PROPN
fis-1879	194	15	,	,	PUNCT
fis-1879	194	16	d.n	d.n	PROPN
fis-1879	194	17	.	.	PROPN
fis-1879	194	18	,	,	PUNCT
fis-1879	194	19	korsunsky	korsunsky	PROPN
fis-1879	194	20	,	,	PUNCT
fis-1879	194	21	a.m.	a.m.	ADV
fis-1879	194	22	,	,	PUNCT
fis-1879	194	23	solution	solution	NOUN
fis-1879	194	24	of	of	ADP
fis-1879	194	25	crack	crack	NOUN
fis-1879	194	26	problems	problem	NOUN
fis-1879	194	27	–	–	PUNCT
fis-1879	194	28	the	the	DET
fis-1879	194	29	distributed	distribute	VERB
fis-1879	194	30	dislocation	dislocation	NOUN
fis-1879	194	31	technique	technique	NOUN
fis-1879	194	32	,	,	PUNCT
fis-1879	194	33	kluwer	kluwer	NOUN
fis-1879	194	34	academic	academic	NOUN
fis-1879	194	35	,	,	PUNCT
fis-1879	194	36	dordrecht	dordrecht	PROPN
fis-1879	194	37	,	,	PUNCT
fis-1879	194	38	(	(	PUNCT
fis-1879	194	39	1996	1996	NUM
fis-1879	194	40	)	)	PUNCT
fis-1879	194	41	.	.	PUNCT
fis-1879	195	1	[	[	X
fis-1879	195	2	12	12	NUM
fis-1879	195	3	]	]	X
fis-1879	195	4	sih	sih	PROPN
fis-1879	195	5	,	,	PUNCT
fis-1879	195	6	g.	g.	PROPN
fis-1879	195	7	c.	c.	PROPN
fis-1879	195	8	,	,	PUNCT
fis-1879	195	9	strain	strain	NOUN
fis-1879	195	10	-	-	PUNCT
fis-1879	195	11	energy	energy	NOUN
fis-1879	195	12	-	-	PUNCT
fis-1879	195	13	density	density	NOUN
fis-1879	195	14	factor	factor	NOUN
fis-1879	195	15	applied	apply	VERB
fis-1879	195	16	to	to	ADP
fis-1879	195	17	mixed	mixed	ADJ
fis-1879	195	18	mode	mode	NOUN
fis-1879	195	19	crack	crack	NOUN
fis-1879	195	20	problems	problem	NOUN
fis-1879	195	21	,	,	PUNCT
fis-1879	195	22	int	int	NOUN
fis-1879	195	23	.	.	PUNCT
fis-1879	196	1	j.	j.	PROPN
fis-1879	196	2	fract	fract	PROPN
fis-1879	196	3	.	.	PROPN
fis-1879	197	1	,	,	PUNCT
fis-1879	197	2	10	10	NUM
fis-1879	197	3	(	(	PUNCT
fis-1879	197	4	1974	1974	NUM
fis-1879	197	5	)	)	PUNCT
fis-1879	197	6	,	,	PUNCT
fis-1879	197	7	305	305	NUM
fis-1879	197	8	-	-	SYM
fis-1879	197	9	321	321	NUM
fis-1879	197	10	.	.	PUNCT
fis-1879	198	1	[	[	X
fis-1879	198	2	13	13	NUM
fis-1879	198	3	]	]	PUNCT
fis-1879	198	4	erdogan	erdogan	X
fis-1879	198	5	,	,	PUNCT
fis-1879	198	6	f.	f.	PROPN
fis-1879	198	7	,	,	PUNCT
fis-1879	198	8	sih	sih	PROPN
fis-1879	198	9	,	,	PUNCT
fis-1879	198	10	g.c	g.c	PROPN
fis-1879	198	11	.	.	PROPN
fis-1879	198	12	,	,	PUNCT
fis-1879	198	13	on	on	ADP
fis-1879	198	14	the	the	DET
fis-1879	198	15	crack	crack	NOUN
fis-1879	198	16	extension	extension	NOUN
fis-1879	198	17	in	in	ADP
fis-1879	198	18	plates	plate	NOUN
fis-1879	198	19	under	under	ADP
fis-1879	198	20	plane	plane	NOUN
fis-1879	198	21	loading	loading	NOUN
fis-1879	198	22	and	and	CCONJ
fis-1879	198	23	transverse	transverse	NOUN
fis-1879	198	24	shear	shear	NOUN
fis-1879	198	25	,	,	PUNCT
fis-1879	198	26	j.	j.	PROPN
fis-1879	198	27	basic	basic	PROPN
fis-1879	198	28	eng	eng	PROPN
fis-1879	198	29	.	.	PROPN
fis-1879	198	30	,	,	PUNCT
fis-1879	198	31	85	85	NUM
fis-1879	198	32	(	(	PUNCT
fis-1879	198	33	1963	1963	NUM
fis-1879	198	34	)	)	PUNCT
fis-1879	198	35	519–527	519–527	NUM
fis-1879	198	36	.	.	PUNCT
fis-1879	199	1	<	<	X
fis-1879	199	2	<	<	X
fis-1879	199	3	/ascii85encodepages	/ascii85encodepage	NOUN
fis-1879	199	4	false	false	ADJ
fis-1879	199	5	/allowtransparency	/allowtransparency	NOUN
fis-1879	199	6	false	false	ADJ
fis-1879	199	7	/autopositionepsfiles	/autopositionepsfile	NOUN
fis-1879	199	8	true	true	ADJ
fis-1879	199	9	/autorotatepages	/autorotatepage	NOUN
fis-1879	199	10	/none	/none	PUNCT
fis-1879	199	11	/binding	/binding	PUNCT
fis-1879	199	12	/left	/left	ADJ
fis-1879	200	1	/calgrayprofile	/calgrayprofile	VERB
fis-1879	200	2	(	(	PUNCT
fis-1879	200	3	dot	dot	NOUN
fis-1879	200	4	gain	gain	NOUN
fis-1879	200	5	20	20	NUM
fis-1879	200	6	%	%	NOUN
fis-1879	200	7	)	)	PUNCT
fis-1879	200	8	/calrgbprofile	/calrgbprofile	PUNCT
fis-1879	201	1	(	(	PUNCT
fis-1879	201	2	srgb	srgb	PROPN
fis-1879	201	3	iec61966	iec61966	NOUN
fis-1879	201	4	-	-	PUNCT
fis-1879	201	5	2.1	2.1	NUM
fis-1879	201	6	)	)	PUNCT
fis-1879	201	7	/calcmykprofile	/calcmykprofile	PUNCT
fis-1879	202	1	(	(	PUNCT
fis-1879	202	2	u.s	u.s	PROPN
fis-1879	202	3	.	.	PROPN
fis-1879	202	4	web	web	NOUN
fis-1879	202	5	coated	coat	VERB
fis-1879	202	6	\050swop\051	\050swop\051	ADJ
fis-1879	202	7	v2	v2	NOUN
fis-1879	202	8	)	)	PUNCT
fis-1879	202	9	/srgbprofile	/srgbprofile	PUNCT
fis-1879	202	10	(	(	PUNCT
fis-1879	202	11	srgb	srgb	PROPN
fis-1879	202	12	iec61966	iec61966	NOUN
fis-1879	202	13	-	-	PUNCT
fis-1879	202	14	2.1	2.1	NUM
fis-1879	202	15	)	)	PUNCT
fis-1879	202	16	/cannotembedfontpolicy	/cannotembedfontpolicy	PUNCT
fis-1879	203	1	/error	/error	INTJ
fis-1879	203	2	/compatibilitylevel	/compatibilitylevel	NOUN
fis-1879	204	1	1.4	1.4	NUM
fis-1879	204	2	/compressobjects	/compressobject	NOUN
fis-1879	204	3	/tags	/tag	VERB
fis-1879	204	4	/compresspages	/compresspage	NOUN
fis-1879	204	5	true	true	ADJ
fis-1879	204	6	/convertimagestoindexed	/convertimagestoindexed	ADJ
fis-1879	204	7	true	true	ADJ
fis-1879	204	8	/passthroughjpegimages	/passthroughjpegimage	NOUN
fis-1879	204	9	true	true	ADJ
fis-1879	204	10	/createjobticket	/createjobticket	NOUN
fis-1879	204	11	false	false	ADJ
fis-1879	204	12	/defaultrenderingintent	/defaultrenderingintent	NOUN
fis-1879	204	13	/default	/default	PUNCT
fis-1879	204	14	/detectblends	/detectblend	NOUN
fis-1879	204	15	true	true	ADJ
fis-1879	204	16	/detectcurves	/detectcurve	VERB
fis-1879	205	1	0.0000	0.0000	NUM
fis-1879	205	2	/colorconversionstrategy	/colorconversionstrategy	NOUN
fis-1879	205	3	/cmyk	/cmyk	PUNCT
fis-1879	206	1	/dothumbnails	/dothumbnail	VERB
fis-1879	207	1	false	false	ADJ
fis-1879	207	2	/embedallfonts	/embedallfont	NOUN
fis-1879	207	3	true	true	ADJ
fis-1879	207	4	/embedopentype	/embedopentype	PUNCT
fis-1879	207	5	false	false	ADJ
fis-1879	207	6	/parseiccprofilesincomments	/parseiccprofilesincomment	NOUN
fis-1879	207	7	true	true	ADJ
fis-1879	207	8	/embedjoboptions	/embedjoboption	NOUN
fis-1879	207	9	true	true	ADJ
fis-1879	207	10	/dscreportinglevel	/dscreportinglevel	NOUN
fis-1879	207	11	0	0	NUM
fis-1879	207	12	/emitdscwarnings	/emitdscwarning	NOUN
fis-1879	207	13	false	false	ADJ
fis-1879	207	14	/endpage	/endpage	NOUN
fis-1879	207	15	-1	-1	NOUN
fis-1879	207	16	/imagememory	/imagememory	NUM
fis-1879	207	17	1048576	1048576	NUM
fis-1879	207	18	/lockdistillerparams	/lockdistillerparams	NOUN
fis-1879	207	19	false	false	ADJ
fis-1879	207	20	/maxsubsetpct	/maxsubsetpct	ADJ
fis-1879	207	21	100	100	NUM
fis-1879	207	22	/optimize	/optimize	NOUN
fis-1879	207	23	true	true	ADJ
fis-1879	207	24	/opm	/opm	NOUN
fis-1879	207	25	1	1	NUM
fis-1879	207	26	/parsedsccomments	/parsedsccomment	NOUN
fis-1879	207	27	true	true	ADJ
fis-1879	207	28	/parsedsccommentsfordocinfo	/parsedsccommentsfordocinfo	VERB
fis-1879	207	29	true	true	ADJ
fis-1879	207	30	/preservecopypage	/preservecopypage	NOUN
fis-1879	207	31	true	true	ADJ
fis-1879	207	32	/preservedicmykvalues	/preservedicmykvalue	NOUN
fis-1879	207	33	true	true	ADJ
fis-1879	207	34	/preserveepsinfo	/preserveepsinfo	NOUN
fis-1879	207	35	true	true	ADJ
fis-1879	207	36	/preserveflatness	/preserveflatness	NOUN
fis-1879	207	37	true	true	ADJ
fis-1879	207	38	/preservehalftoneinfo	/preservehalftoneinfo	PUNCT
fis-1879	207	39	false	false	ADJ
fis-1879	207	40	/preserveopicomments	/preserveopicomment	NOUN
fis-1879	207	41	true	true	ADJ
fis-1879	207	42	/preserveoverprintsettings	/preserveoverprintsetting	NOUN
fis-1879	207	43	true	true	ADJ
fis-1879	207	44	/startpage	/startpage	NOUN
fis-1879	207	45	1	1	NUM
fis-1879	207	46	/subsetfonts	/subsetfont	NOUN
fis-1879	207	47	true	true	ADJ
fis-1879	207	48	/transferfunctioninfo	/transferfunctioninfo	PUNCT
fis-1879	207	49	/apply	/apply	PUNCT
fis-1879	207	50	/ucrandbginfo	/ucrandbginfo	PUNCT
fis-1879	208	1	/preserve	/preserve	NOUN
fis-1879	208	2	/useprologue	/useprologue	NOUN
fis-1879	208	3	false	false	ADJ
fis-1879	208	4	/colorsettingsfile	/colorsettingsfile	NOUN
fis-1879	208	5	(	(	PUNCT
fis-1879	208	6	)	)	PUNCT
fis-1879	208	7	/alwaysembed	/alwaysembe	VERB
fis-1879	208	8	[	[	PUNCT
fis-1879	208	9	true	true	ADJ
fis-1879	208	10	]	]	PUNCT
fis-1879	208	11	/neverembed	/neverembed	PUNCT
fis-1879	209	1	[	[	PUNCT
fis-1879	209	2	true	true	ADJ
fis-1879	209	3	]	]	PUNCT
fis-1879	209	4	/antialiascolorimages	/antialiascolorimages	X
fis-1879	209	5	false	false	ADJ
fis-1879	209	6	/cropcolorimages	/cropcolorimages	PUNCT
fis-1879	209	7	true	true	ADJ
fis-1879	209	8	/colorimageminresolution	/colorimageminresolution	PUNCT
fis-1879	209	9	300	300	NUM
fis-1879	209	10	/colorimageminresolutionpolicy	/colorimageminresolutionpolicy	NOUN
fis-1879	209	11	/ok	/ok	ADJ
fis-1879	210	1	/downsamplecolorimages	/downsamplecolorimage	VERB
fis-1879	211	1	true	true	ADJ
fis-1879	211	2	/colorimagedownsampletype	/colorimagedownsampletype	PUNCT
fis-1879	211	3	/bicubic	/bicubic	NOUN
fis-1879	211	4	/colorimageresolution	/colorimageresolution	NOUN
fis-1879	212	1	300	300	NUM
fis-1879	212	2	/colorimagedepth	/colorimagedepth	PRON
fis-1879	212	3	-1	-1	INTJ
fis-1879	212	4	/colorimagemindownsampledepth	/colorimagemindownsampledepth	SYM
fis-1879	212	5	1	1	NUM
fis-1879	212	6	/colorimagedownsamplethreshold	/colorimagedownsamplethreshold	SYM
fis-1879	212	7	1.50000	1.50000	NUM
fis-1879	212	8	/encodecolorimages	/encodecolorimage	NOUN
fis-1879	212	9	true	true	ADJ
fis-1879	212	10	/colorimagefilter	/colorimagefilter	PUNCT
fis-1879	212	11	/dctencode	/dctencode	PUNCT
fis-1879	213	1	/autofiltercolorimages	/autofiltercolorimage	NOUN
fis-1879	213	2	true	true	ADJ
fis-1879	213	3	/colorimageautofilterstrategy	/colorimageautofilterstrategy	PUNCT
fis-1879	213	4	/jpeg	/jpeg	PUNCT
fis-1879	213	5	/coloracsimagedict	/coloracsimagedict	PUNCT
fis-1879	214	1	<	<	X
fis-1879	214	2	<	<	X
fis-1879	214	3	/qfactor	/qfactor	NOUN
fis-1879	214	4	0.15	0.15	NUM
fis-1879	214	5	/hsamples	/hsample	NOUN
fis-1879	215	1	[	[	X
fis-1879	215	2	1	1	NUM
fis-1879	215	3	1	1	NUM
fis-1879	215	4	1	1	NUM
fis-1879	215	5	1	1	NUM
fis-1879	215	6	]	]	PUNCT
fis-1879	215	7	/vsamples	/vsample	NOUN
fis-1879	216	1	[	[	X
fis-1879	216	2	1	1	NUM
fis-1879	216	3	1	1	NUM
fis-1879	216	4	1	1	NUM
fis-1879	216	5	1	1	NUM
fis-1879	216	6	]	]	PUNCT
fis-1879	216	7	>	>	PUNCT
fis-1879	216	8	>	>	X
fis-1879	216	9	/colorimagedict	/colorimagedict	PUNCT
fis-1879	217	1	<	<	X
fis-1879	217	2	<	<	X
fis-1879	217	3	/qfactor	/qfactor	NOUN
fis-1879	217	4	0.15	0.15	NUM
fis-1879	217	5	/hsamples	/hsample	NOUN
fis-1879	218	1	[	[	X
fis-1879	218	2	1	1	NUM
fis-1879	218	3	1	1	NUM
fis-1879	218	4	1	1	NUM
fis-1879	218	5	1	1	NUM
fis-1879	218	6	]	]	PUNCT
fis-1879	218	7	/vsamples	/vsample	NOUN
fis-1879	219	1	[	[	X
fis-1879	219	2	1	1	NUM
fis-1879	219	3	1	1	NUM
fis-1879	219	4	1	1	NUM
fis-1879	219	5	1	1	NUM
fis-1879	219	6	]	]	PUNCT
fis-1879	219	7	>	>	PUNCT
fis-1879	219	8	>	>	X
fis-1879	219	9	/jpeg2000coloracsimagedict	/jpeg2000coloracsimagedict	PUNCT
fis-1879	220	1	<	<	X
fis-1879	220	2	<	<	X
fis-1879	220	3	/tilewidth	/tilewidth	PUNCT
fis-1879	220	4	256	256	NUM
fis-1879	220	5	/tileheight	/tileheight	NUM
fis-1879	220	6	256	256	NUM
fis-1879	220	7	/quality	/quality	NOUN
fis-1879	220	8	30	30	NUM
fis-1879	220	9	>	>	PUNCT
fis-1879	220	10	>	>	X
fis-1879	220	11	/jpeg2000colorimagedict	/jpeg2000colorimagedict	PUNCT
fis-1879	220	12	<	<	X
fis-1879	220	13	<	<	X
fis-1879	220	14	/tilewidth	/tilewidth	PUNCT
fis-1879	220	15	256	256	NUM
fis-1879	220	16	/tileheight	/tileheight	NUM
fis-1879	220	17	256	256	NUM
fis-1879	220	18	/quality	/quality	NOUN
fis-1879	220	19	30	30	NUM
fis-1879	220	20	>	>	PUNCT
fis-1879	220	21	>	>	X
fis-1879	220	22	/antialiasgrayimages	/antialiasgrayimages	X
fis-1879	220	23	false	false	ADJ
fis-1879	220	24	/cropgrayimages	/cropgrayimage	NOUN
fis-1879	220	25	true	true	ADJ
fis-1879	220	26	/grayimageminresolution	/grayimageminresolution	ADV
fis-1879	220	27	300	300	NUM
fis-1879	220	28	/grayimageminresolutionpolicy	/grayimageminresolutionpolicy	NOUN
fis-1879	220	29	/ok	/ok	ADJ
fis-1879	220	30	/downsamplegrayimages	/downsamplegrayimages	PUNCT
fis-1879	221	1	true	true	ADJ
fis-1879	221	2	/grayimagedownsampletype	/grayimagedownsampletype	INTJ
fis-1879	221	3	/bicubic	/bicubic	NOUN
fis-1879	221	4	/grayimageresolution	/grayimageresolution	NOUN
fis-1879	221	5	300	300	NUM
fis-1879	221	6	/grayimagedepth	/grayimagedepth	PUNCT
fis-1879	221	7	-1	-1	PUNCT
fis-1879	221	8	/grayimagemindownsampledepth	/grayimagemindownsampledepth	PUNCT
fis-1879	222	1	2	2	NUM
fis-1879	222	2	/grayimagedownsamplethreshold	/grayimagedownsamplethreshold	NUM
fis-1879	222	3	1.50000	1.50000	NUM
fis-1879	222	4	/encodegrayimages	/encodegrayimage	NOUN
fis-1879	222	5	true	true	ADJ
fis-1879	222	6	/grayimagefilter	/grayimagefilter	NOUN
fis-1879	222	7	/dctencode	/dctencode	PUNCT
fis-1879	223	1	/autofiltergrayimages	/autofiltergrayimages	VERB
fis-1879	223	2	true	true	ADJ
fis-1879	223	3	/grayimageautofilterstrategy	/grayimageautofilterstrategy	INTJ
fis-1879	223	4	/jpeg	/jpeg	PUNCT
fis-1879	223	5	/grayacsimagedict	/grayacsimagedict	PUNCT
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fis-1879	246	3	>	>	X
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fis-1879	246	7	>	>	X
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fis-1879	246	11	>	>	X
fis-1879	246	12	/hrv	/hrv	PROPN
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fis-1879	247	2	za	za	PROPN
fis-1879	247	3	stvaranje	stvaranje	PROPN
fis-1879	247	4	adobe	adobe	PROPN
fis-1879	247	5	pdf	pdf	PROPN
fis-1879	247	6	dokumenata	dokumenata	PROPN
fis-1879	247	7	najpogodnijih	najpogodnijih	PROPN
fis-1879	247	8	za	za	PROPN
fis-1879	247	9	visokokvalitetni	visokokvalitetni	VERB
fis-1879	247	10	ispis	ispis	ADJ
fis-1879	247	11	prije	prije	NOUN
fis-1879	247	12	tiskanja	tiskanja	PROPN
fis-1879	247	13	koristite	koristite	PROPN
fis-1879	247	14	ove	ove	NOUN
fis-1879	247	15	postavke	postavke	NOUN
fis-1879	247	16	.	.	PUNCT
fis-1879	248	1	stvoreni	stvoreni	ADJ
fis-1879	248	2	pdf	pdf	NOUN
fis-1879	248	3	dokumenti	dokumenti	PROPN
fis-1879	248	4	mogu	mogu	PROPN
fis-1879	248	5	se	se	X
fis-1879	248	6	otvoriti	otvoriti	PROPN
fis-1879	248	7	acrobat	acrobat	PROPN
fis-1879	249	1	i	i	PRON
fis-1879	249	2	adobe	adobe	PROPN
fis-1879	249	3	reader	reader	PROPN
fis-1879	249	4	5.0	5.0	NUM
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fis-1879	249	6	kasnijim	kasnijim	VERB
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fis-1879	251	3	>	>	X
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fis-1879	252	3	>	>	X
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fis-1879	256	3	>	>	X
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fis-1879	259	1	/nor	/nor	PUNCT
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fis-1879	262	7	>	>	X
fis-1879	262	8	/suo	/suo	PROPN
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fis-1879	263	3	>	>	X
fis-1879	263	4	/sve	/sve	PROPN
fis-1879	263	5	<	<	X
fis-1879	263	6	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	X
fis-1879	263	7	>	>	X
fis-1879	263	8	/tur	/tur	X
fis-1879	263	9	<	<	X
fis-1879	263	10	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	PROPN
fis-1879	263	11	>	>	X
fis-1879	263	12	/ukr	/ukr	X
fis-1879	263	13	<	<	X
fis-1879	263	14	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	X
fis-1879	263	15	>	>	X
fis-1879	263	16	/enu	/enu	PUNCT
fis-1879	263	17	(	(	PUNCT
fis-1879	263	18	use	use	VERB
fis-1879	263	19	these	these	DET
fis-1879	263	20	settings	setting	NOUN
fis-1879	263	21	to	to	PART
fis-1879	263	22	create	create	VERB
fis-1879	263	23	adobe	adobe	PROPN
fis-1879	263	24	pdf	pdf	PROPN
fis-1879	263	25	documents	document	NOUN
fis-1879	263	26	best	well	ADV
fis-1879	263	27	suited	suit	VERB
fis-1879	263	28	for	for	ADP
fis-1879	263	29	high	high	ADJ
fis-1879	263	30	-	-	PUNCT
fis-1879	263	31	quality	quality	NOUN
fis-1879	263	32	prepress	prepress	NOUN
fis-1879	263	33	printing	printing	NOUN
fis-1879	263	34	.	.	PUNCT
fis-1879	264	1	created	create	VERB
fis-1879	264	2	pdf	pdf	NOUN
fis-1879	264	3	documents	document	NOUN
fis-1879	264	4	can	can	AUX
fis-1879	264	5	be	be	AUX
fis-1879	264	6	opened	open	VERB
fis-1879	264	7	with	with	ADP
fis-1879	264	8	acrobat	acrobat	PROPN
fis-1879	264	9	and	and	CCONJ
fis-1879	264	10	adobe	adobe	PROPN
fis-1879	264	11	reader	reader	PROPN
fis-1879	264	12	5.0	5.0	NUM
fis-1879	264	13	and	and	CCONJ
fis-1879	264	14	later	later	ADV
fis-1879	264	15	.	.	PUNCT
fis-1879	264	16	)	)	PUNCT
fis-1879	265	1	>	>	PUNCT
fis-1879	265	2	>	>	X
fis-1879	265	3	/namespace	/namespace	PUNCT
fis-1879	266	1	[	[	PUNCT
fis-1879	266	2	(	(	PUNCT
fis-1879	266	3	adobe	adobe	PROPN
fis-1879	266	4	)	)	PUNCT
fis-1879	266	5	(	(	PUNCT
fis-1879	266	6	common	common	ADJ
fis-1879	266	7	)	)	PUNCT
fis-1879	266	8	(	(	PUNCT
fis-1879	266	9	1.0	1.0	NUM
fis-1879	266	10	)	)	PUNCT
fis-1879	266	11	]	]	PUNCT
fis-1879	267	1	/othernamespaces	/othernamespace	VERB
fis-1879	267	2	[	[	PUNCT
fis-1879	267	3	<	<	X
fis-1879	267	4	<	<	X
fis-1879	267	5	/asreaderspreads	/asreaderspreads	X
fis-1879	267	6	false	false	ADJ
fis-1879	267	7	/cropimagestoframes	/cropimagestoframe	NOUN
fis-1879	267	8	true	true	ADJ
fis-1879	267	9	/errorcontrol	/errorcontrol	NOUN
fis-1879	268	1	/warnandcontinue	/warnandcontinue	PUNCT
fis-1879	268	2	/flattenerignorespreadoverrides	/flattenerignorespreadoverride	NOUN
fis-1879	268	3	false	false	ADJ
fis-1879	268	4	/includeguidesgrids	/includeguidesgrid	NOUN
fis-1879	268	5	false	false	ADJ
fis-1879	268	6	/includenonprinting	/includenonprinting	NOUN
fis-1879	268	7	false	false	ADJ
fis-1879	268	8	/includeslug	/includeslug	INTJ
fis-1879	268	9	false	false	ADJ
fis-1879	268	10	/namespace	/namespace	NOUN
fis-1879	269	1	[	[	PUNCT
fis-1879	269	2	(	(	PUNCT
fis-1879	269	3	adobe	adobe	PROPN
fis-1879	269	4	)	)	PUNCT
fis-1879	269	5	(	(	PUNCT
fis-1879	269	6	indesign	indesign	NOUN
fis-1879	269	7	)	)	PUNCT
fis-1879	269	8	(	(	PUNCT
fis-1879	269	9	4.0	4.0	NUM
fis-1879	269	10	)	)	PUNCT
fis-1879	269	11	]	]	PUNCT
fis-1879	269	12	/omitplacedbitmaps	/omitplacedbitmaps	PUNCT
fis-1879	270	1	false	false	ADJ
fis-1879	270	2	/omitplacedeps	/omitplacedeps	INTJ
fis-1879	270	3	false	false	ADJ
fis-1879	270	4	/omitplacedpdf	/omitplacedpdf	PUNCT
fis-1879	270	5	false	false	ADJ
fis-1879	270	6	/simulateoverprint	/simulateoverprint	NOUN
fis-1879	270	7	/legacy	/legacy	PUNCT
fis-1879	271	1	>	>	PUNCT
fis-1879	271	2	>	>	X
fis-1879	272	1	<	<	X
fis-1879	272	2	<	<	X
fis-1879	272	3	/addbleedmarks	/addbleedmarks	X
fis-1879	272	4	false	false	ADJ
fis-1879	272	5	/addcolorbars	/addcolorbars	INTJ
fis-1879	272	6	false	false	ADJ
fis-1879	272	7	/addcropmarks	/addcropmarks	PUNCT
fis-1879	272	8	false	false	ADJ
fis-1879	272	9	/addpageinfo	/addpageinfo	INTJ
fis-1879	272	10	false	false	ADJ
fis-1879	272	11	/addregmarks	/addregmark	NOUN
fis-1879	272	12	false	false	ADJ
fis-1879	272	13	/convertcolors	/convertcolor	NOUN
fis-1879	272	14	/converttocmyk	/converttocmyk	INTJ
fis-1879	272	15	/destinationprofilename	/destinationprofilename	PUNCT
fis-1879	272	16	(	(	PUNCT
fis-1879	272	17	)	)	PUNCT
fis-1879	272	18	/destinationprofileselector	/destinationprofileselector	NOUN
fis-1879	272	19	/documentcmyk	/documentcmyk	PUNCT
fis-1879	272	20	/downsample16bitimages	/downsample16bitimage	NOUN
fis-1879	272	21	true	true	ADJ
fis-1879	272	22	/flattenerpreset	/flattenerpreset	PUNCT
fis-1879	273	1	<	<	X
fis-1879	273	2	<	<	X
fis-1879	273	3	/presetselector	/presetselector	X
fis-1879	273	4	/mediumresolution	/mediumresolution	NOUN
fis-1879	273	5	>	>	PUNCT
fis-1879	273	6	>	>	X
fis-1879	273	7	/formelements	/formelement	NOUN
fis-1879	274	1	false	false	ADJ
fis-1879	274	2	/generatestructure	/generatestructure	PUNCT
fis-1879	274	3	false	false	ADJ
fis-1879	274	4	/includebookmarks	/includebookmark	NOUN
fis-1879	274	5	false	false	ADJ
fis-1879	274	6	/includehyperlinks	/includehyperlinks	INTJ
fis-1879	274	7	false	false	ADJ
fis-1879	274	8	/includeinteractive	/includeinteractive	ADJ
fis-1879	274	9	false	false	ADJ
fis-1879	274	10	/includelayers	/includelayer	NOUN
fis-1879	274	11	false	false	ADJ
fis-1879	274	12	/includeprofiles	/includeprofiles	INTJ
fis-1879	274	13	false	false	ADJ
fis-1879	274	14	/multimediahandling	/multimediahandling	NOUN
fis-1879	275	1	/useobjectsettings	/useobjectsettings	PRON
fis-1879	276	1	/namespace	/namespace	PUNCT
fis-1879	277	1	[	[	PUNCT
fis-1879	277	2	(	(	PUNCT
fis-1879	277	3	adobe	adobe	PROPN
fis-1879	277	4	)	)	PUNCT
fis-1879	277	5	(	(	PUNCT
fis-1879	277	6	creativesuite	creativesuite	NOUN
fis-1879	277	7	)	)	PUNCT
fis-1879	277	8	(	(	PUNCT
fis-1879	277	9	2.0	2.0	NUM
fis-1879	277	10	)	)	PUNCT
fis-1879	277	11	]	]	PUNCT
fis-1879	278	1	/pdfxoutputintentprofileselector	/pdfxoutputintentprofileselector	INTJ
fis-1879	278	2	/documentcmyk	/documentcmyk	PUNCT
fis-1879	279	1	/preserveediting	/preserveedite	VERB
fis-1879	279	2	true	true	ADJ
fis-1879	279	3	/untaggedcmykhandling	/untaggedcmykhandling	NOUN
fis-1879	279	4	/leaveuntagged	/leaveuntagge	VERB
fis-1879	279	5	/untaggedrgbhandling	/untaggedrgbhandling	NOUN
fis-1879	279	6	/usedocumentprofile	/usedocumentprofile	INTJ
fis-1879	279	7	/usedocumentbleed	/usedocumentbleed	NOUN
fis-1879	280	1	false	false	ADJ
fis-1879	280	2	>	>	PUNCT
fis-1879	280	3	>	>	X
fis-1879	280	4	]	]	PUNCT
fis-1879	280	5	>	>	PUNCT
fis-1879	280	6	>	>	X
fis-1879	280	7	setdistillerparams	setdistillerparam	NOUN
fis-1879	281	1	<	<	X
fis-1879	281	2	<	<	X
fis-1879	281	3	/hwresolution	/hwresolution	NOUN
fis-1879	282	1	[	[	X
fis-1879	282	2	2400	2400	NUM
fis-1879	282	3	2400	2400	NUM
fis-1879	282	4	]	]	PUNCT
fis-1879	282	5	/pagesize	/pagesize	X
fis-1879	283	1	[	[	X
fis-1879	283	2	612.000	612.000	NUM
fis-1879	283	3	792.000	792.000	NUM
fis-1879	283	4	]	]	PUNCT
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