id	sid	tid	token	lemma	pos
fis-1775	1	1	microsoft	microsoft	PROPN
fis-1775	1	2	word	word	PROPN
fis-1775	1	3	numero_38_art_13	numero_38_art_13	PROPN
fis-1775	1	4	h.	h.	PROPN
fis-1775	1	5	wu	wu	PROPN
fis-1775	1	6	et	et	PROPN
fis-1775	1	7	alii	alii	PROPN
fis-1775	1	8	,	,	PUNCT
fis-1775	1	9	frattura	frattura	PROPN
fis-1775	1	10	ed	ed	PROPN
fis-1775	1	11	integrità	integrità	PROPN
fis-1775	1	12	strutturale	strutturale	PROPN
fis-1775	1	13	,	,	PUNCT
fis-1775	1	14	38	38	NUM
fis-1775	1	15	(	(	PUNCT
fis-1775	1	16	2016	2016	NUM
fis-1775	1	17	)	)	PUNCT
fis-1775	1	18	99	99	NUM
fis-1775	1	19	-	-	SYM
fis-1775	1	20	105	105	NUM
fis-1775	1	21	;	;	PUNCT
fis-1775	1	22	doi	doi	NOUN
fis-1775	1	23	:	:	PUNCT
fis-1775	1	24	10.3221	10.3221	NUM
fis-1775	1	25	/	/	SYM
fis-1775	1	26	igf	igf	PROPN
fis-1775	1	27	-	-	PROPN
fis-1775	1	28	esis.38.13	esis.38.13	PROPN
fis-1775	1	29	99	99	NUM
fis-1775	1	30	focussed	focusse	VERB
fis-1775	1	31	on	on	ADP
fis-1775	1	32	multiaxial	multiaxial	ADJ
fis-1775	1	33	fatigue	fatigue	NOUN
fis-1775	1	34	and	and	CCONJ
fis-1775	1	35	fracture	fracture	NOUN
fis-1775	1	36	application	application	NOUN
fis-1775	1	37	of	of	ADP
fis-1775	1	38	the	the	DET
fis-1775	1	39	moment	moment	NOUN
fis-1775	1	40	of	of	ADP
fis-1775	1	41	inertia	inertia	NOUN
fis-1775	1	42	method	method	NOUN
fis-1775	1	43	to	to	ADP
fis-1775	1	44	the	the	DET
fis-1775	1	45	critical	critical	ADJ
fis-1775	1	46	-	-	PUNCT
fis-1775	1	47	plane	plane	NOUN
fis-1775	1	48	approach	approach	NOUN
fis-1775	1	49	hao	hao	PROPN
fis-1775	1	50	wu	wu	PROPN
fis-1775	1	51	school	school	PROPN
fis-1775	1	52	of	of	ADP
fis-1775	1	53	aerospace	aerospace	NOUN
fis-1775	1	54	engineering	engineering	NOUN
fis-1775	1	55	and	and	CCONJ
fis-1775	1	56	applied	apply	VERB
fis-1775	1	57	mechanics	mechanic	NOUN
fis-1775	1	58	,	,	PUNCT
fis-1775	1	59	tongji	tongji	NOUN
fis-1775	1	60	university	university	NOUN
fis-1775	1	61	,	,	PUNCT
fis-1775	1	62	siping	sip	VERB
fis-1775	1	63	road	road	NOUN
fis-1775	1	64	1239	1239	NUM
fis-1775	1	65	,	,	PUNCT
fis-1775	1	66	200092	200092	NUM
fis-1775	1	67	,	,	PUNCT
fis-1775	1	68	shanghai	shanghai	PROPN
fis-1775	1	69	,	,	PUNCT
fis-1775	1	70	p.r.china	p.r.china	PROPN
fis-1775	1	71	wuhao@tongji.edu.cn	wuhao@tongji.edu.cn	PROPN
fis-1775	1	72	marco	marco	PROPN
fis-1775	1	73	antonio	antonio	PROPN
fis-1775	1	74	meggiolaro	meggiolaro	PROPN
fis-1775	1	75	,	,	PUNCT
fis-1775	1	76	jaime	jaime	PROPN
fis-1775	1	77	tupiassú	tupiassú	PROPN
fis-1775	1	78	pinho	pinho	PROPN
fis-1775	1	79	de	de	X
fis-1775	1	80	castro	castro	PROPN
fis-1775	1	81	pontifical	pontifical	ADJ
fis-1775	1	82	catholic	catholic	PROPN
fis-1775	1	83	university	university	PROPN
fis-1775	1	84	of	of	ADP
fis-1775	1	85	rio	rio	PROPN
fis-1775	1	86	de	de	PROPN
fis-1775	1	87	janeiro	janeiro	PROPN
fis-1775	1	88	,	,	PUNCT
fis-1775	1	89	puc	puc	PROPN
fis-1775	1	90	-	-	PUNCT
fis-1775	1	91	rio	rio	PROPN
fis-1775	1	92	,	,	PUNCT
fis-1775	1	93	r.	r.	PROPN
fis-1775	1	94	marquês	marquês	PROPN
fis-1775	1	95	de	de	PROPN
fis-1775	1	96	são	são	PROPN
fis-1775	1	97	vicente	vicente	PROPN
fis-1775	1	98	225	225	NUM
fis-1775	1	99	,	,	PUNCT
fis-1775	1	100	rio	rio	PROPN
fis-1775	1	101	de	de	PROPN
fis-1775	1	102	janeiro	janeiro	PROPN
fis-1775	1	103	,	,	PUNCT
fis-1775	1	104	22451	22451	NUM
fis-1775	1	105	-	-	SYM
fis-1775	1	106	900	900	NUM
fis-1775	1	107	,	,	PUNCT
fis-1775	1	108	brazil	brazil	PROPN
fis-1775	1	109	meggi@puc-rio.br	meggi@puc-rio.br	PROPN
fis-1775	1	110	,	,	PUNCT
fis-1775	1	111	jtcastro@puc-rio.br	jtcastro@puc-rio.br	PROPN
fis-1775	1	112	abstract	abstract	NOUN
fis-1775	1	113	.	.	PUNCT
fis-1775	2	1	the	the	DET
fis-1775	2	2	moment	moment	NOUN
fis-1775	2	3	-	-	PUNCT
fis-1775	2	4	of	of	ADP
fis-1775	2	5	-	-	PUNCT
fis-1775	2	6	inertia	inertia	NOUN
fis-1775	2	7	(	(	PUNCT
fis-1775	2	8	moi	moi	X
fis-1775	2	9	)	)	PUNCT
fis-1775	2	10	method	method	NOUN
fis-1775	2	11	has	have	AUX
fis-1775	2	12	been	be	AUX
fis-1775	2	13	proposed	propose	VERB
fis-1775	2	14	by	by	ADP
fis-1775	2	15	the	the	DET
fis-1775	2	16	authors	author	NOUN
fis-1775	2	17	to	to	PART
fis-1775	2	18	solve	solve	VERB
fis-1775	2	19	some	some	PRON
fis-1775	2	20	of	of	ADP
fis-1775	2	21	the	the	DET
fis-1775	2	22	shortcomings	shortcoming	NOUN
fis-1775	2	23	of	of	ADP
fis-1775	2	24	convex	convex	NOUN
fis-1775	2	25	-	-	PUNCT
fis-1775	2	26	enclosure	enclosure	NOUN
fis-1775	2	27	methods	method	NOUN
fis-1775	2	28	,	,	PUNCT
fis-1775	2	29	when	when	SCONJ
fis-1775	2	30	they	they	PRON
fis-1775	2	31	are	be	AUX
fis-1775	2	32	used	use	VERB
fis-1775	2	33	to	to	PART
fis-1775	2	34	calculate	calculate	VERB
fis-1775	2	35	path	path	NOUN
fis-1775	2	36	-	-	PUNCT
fis-1775	2	37	equivalent	equivalent	ADJ
fis-1775	2	38	ranges	range	NOUN
fis-1775	2	39	and	and	CCONJ
fis-1775	2	40	mean	mean	ADJ
fis-1775	2	41	components	component	NOUN
fis-1775	2	42	of	of	ADP
fis-1775	2	43	complex	complex	ADJ
fis-1775	2	44	non	non	ADJ
fis-1775	2	45	-	-	ADJ
fis-1775	2	46	proportional	proportional	ADJ
fis-1775	2	47	(	(	PUNCT
fis-1775	2	48	np	np	INTJ
fis-1775	2	49	)	)	PUNCT
fis-1775	2	50	multiaxial	multiaxial	ADJ
fis-1775	2	51	load	load	NOUN
fis-1775	2	52	histories	history	NOUN
fis-1775	2	53	.	.	PUNCT
fis-1775	3	1	in	in	ADP
fis-1775	3	2	the	the	DET
fis-1775	3	3	proposed	propose	VERB
fis-1775	3	4	2d	2d	NUM
fis-1775	3	5	version	version	NOUN
fis-1775	3	6	for	for	ADP
fis-1775	3	7	use	use	NOUN
fis-1775	3	8	with	with	ADP
fis-1775	3	9	critical	critical	ADJ
fis-1775	3	10	-	-	PUNCT
fis-1775	3	11	plane	plane	NOUN
fis-1775	3	12	models	model	NOUN
fis-1775	3	13	,	,	PUNCT
fis-1775	3	14	the	the	DET
fis-1775	3	15	moi	moi	PROPN
fis-1775	3	16	method	method	NOUN
fis-1775	3	17	considers	consider	VERB
fis-1775	3	18	the	the	DET
fis-1775	3	19	non	non	ADJ
fis-1775	3	20	-	-	NOUN
fis-1775	3	21	proportionality	proportionality	NOUN
fis-1775	3	22	of	of	ADP
fis-1775	3	23	the	the	DET
fis-1775	3	24	projected	project	VERB
fis-1775	3	25	shear	shear	ADJ
fis-1775	3	26	-	-	PUNCT
fis-1775	3	27	shear	shear	NOUN
fis-1775	3	28	history	history	NOUN
fis-1775	3	29	on	on	ADP
fis-1775	3	30	each	each	DET
fis-1775	3	31	candidate	candidate	NOUN
fis-1775	3	32	plane	plane	NOUN
fis-1775	3	33	through	through	ADP
fis-1775	3	34	the	the	DET
fis-1775	3	35	shape	shape	NOUN
fis-1775	3	36	of	of	ADP
fis-1775	3	37	the	the	DET
fis-1775	3	38	load	load	NOUN
fis-1775	3	39	path	path	NOUN
fis-1775	3	40	,	,	PUNCT
fis-1775	3	41	providing	provide	VERB
fis-1775	3	42	good	good	ADJ
fis-1775	3	43	results	result	NOUN
fis-1775	3	44	even	even	ADV
fis-1775	3	45	for	for	ADP
fis-1775	3	46	challenging	challenge	VERB
fis-1775	3	47	non	non	ADJ
fis-1775	3	48	-	-	ADJ
fis-1775	3	49	convex	convex	ADJ
fis-1775	3	50	paths	path	NOUN
fis-1775	3	51	.	.	PUNCT
fis-1775	4	1	the	the	DET
fis-1775	4	2	moi	moi	NOUN
fis-1775	4	3	-	-	PUNCT
fis-1775	4	4	calculated	calculate	VERB
fis-1775	4	5	path	path	NOUN
fis-1775	4	6	-	-	PUNCT
fis-1775	4	7	equivalent	equivalent	ADJ
fis-1775	4	8	shear	shear	NOUN
fis-1775	4	9	stress	stress	NOUN
fis-1775	4	10	(	(	PUNCT
fis-1775	4	11	or	or	CCONJ
fis-1775	4	12	strain	strain	VERB
fis-1775	4	13	)	)	PUNCT
fis-1775	4	14	ranges	range	VERB
fis-1775	4	15	from	from	ADP
fis-1775	4	16	each	each	DET
fis-1775	4	17	counted	count	VERB
fis-1775	4	18	load	load	NOUN
fis-1775	4	19	event	event	NOUN
fis-1775	4	20	can	can	AUX
fis-1775	4	21	then	then	ADV
fis-1775	4	22	be	be	AUX
fis-1775	4	23	used	use	VERB
fis-1775	4	24	in	in	ADP
fis-1775	4	25	any	any	DET
fis-1775	4	26	shear	shear	NOUN
fis-1775	4	27	-	-	PUNCT
fis-1775	4	28	based	base	VERB
fis-1775	4	29	critical	critical	ADJ
fis-1775	4	30	-	-	PUNCT
fis-1775	4	31	plane	plane	NOUN
fis-1775	4	32	multiaxial	multiaxial	ADJ
fis-1775	4	33	fatigue	fatigue	NOUN
fis-1775	4	34	damage	damage	NOUN
fis-1775	4	35	model	model	NOUN
fis-1775	4	36	,	,	PUNCT
fis-1775	4	37	such	such	ADJ
fis-1775	4	38	as	as	ADP
fis-1775	4	39	findley	findley	PROPN
fis-1775	4	40	’s	’s	PART
fis-1775	4	41	or	or	CCONJ
fis-1775	4	42	fatemi	fatemi	PROPN
fis-1775	4	43	-	-	PUNCT
fis-1775	4	44	socie	socie	NOUN
fis-1775	4	45	’s	’s	NOUN
fis-1775	4	46	.	.	PUNCT
fis-1775	5	1	an	an	DET
fis-1775	5	2	efficient	efficient	ADJ
fis-1775	5	3	computer	computer	NOUN
fis-1775	5	4	code	code	NOUN
fis-1775	5	5	with	with	ADP
fis-1775	5	6	the	the	DET
fis-1775	5	7	shear	shear	NOUN
fis-1775	5	8	-	-	PUNCT
fis-1775	5	9	shear	shear	NOUN
fis-1775	5	10	version	version	NOUN
fis-1775	5	11	of	of	ADP
fis-1775	5	12	the	the	DET
fis-1775	5	13	moi	moi	PROPN
fis-1775	5	14	algorithm	algorithm	NOUN
fis-1775	5	15	is	be	AUX
fis-1775	5	16	also	also	ADV
fis-1775	5	17	provided	provide	VERB
fis-1775	5	18	in	in	ADP
fis-1775	5	19	this	this	DET
fis-1775	5	20	work	work	NOUN
fis-1775	5	21	.	.	PUNCT
fis-1775	6	1	keywords	keyword	NOUN
fis-1775	6	2	.	.	PUNCT
fis-1775	7	1	multiaxial	multiaxial	ADJ
fis-1775	7	2	fatigue	fatigue	NOUN
fis-1775	7	3	;	;	PUNCT
fis-1775	7	4	non	non	ADJ
fis-1775	7	5	-	-	ADJ
fis-1775	7	6	proportional	proportional	ADJ
fis-1775	7	7	loadings	loading	NOUN
fis-1775	7	8	;	;	PUNCT
fis-1775	7	9	equivalent	equivalent	ADJ
fis-1775	7	10	ranges	range	NOUN
fis-1775	7	11	;	;	PUNCT
fis-1775	7	12	critical	critical	ADJ
fis-1775	7	13	-	-	PUNCT
fis-1775	7	14	plane	plane	NOUN
fis-1775	7	15	approach	approach	NOUN
fis-1775	7	16	.	.	PUNCT
fis-1775	8	1	citation	citation	NOUN
fis-1775	8	2	:	:	PUNCT
fis-1775	9	1	wu	wu	PROPN
fis-1775	9	2	,	,	PUNCT
fis-1775	9	3	h.	h.	PROPN
fis-1775	9	4	,	,	PUNCT
fis-1775	9	5	meggiolare	meggiolare	PROPN
fis-1775	9	6	,	,	PUNCT
fis-1775	9	7	m.a	m.a	PROPN
fis-1775	9	8	.	.	PROPN
fis-1775	9	9	,	,	PUNCT
fis-1775	9	10	de	de	X
fis-1775	9	11	castro	castro	PROPN
fis-1775	9	12	,	,	PUNCT
fis-1775	9	13	j.t.p	j.t.p	PROPN
fis-1775	9	14	.	.	PROPN
fis-1775	9	15	,	,	PUNCT
fis-1775	9	16	application	application	NOUN
fis-1775	9	17	of	of	ADP
fis-1775	9	18	the	the	DET
fis-1775	9	19	moment	moment	NOUN
fis-1775	9	20	of	of	ADP
fis-1775	9	21	inertia	inertia	NOUN
fis-1775	9	22	method	method	NOUN
fis-1775	9	23	to	to	ADP
fis-1775	9	24	the	the	DET
fis-1775	9	25	critical	critical	ADJ
fis-1775	9	26	-	-	PUNCT
fis-1775	9	27	plane	plane	NOUN
fis-1775	9	28	approach	approach	NOUN
fis-1775	9	29	,	,	PUNCT
fis-1775	9	30	frattura	frattura	PROPN
fis-1775	9	31	ed	ed	PROPN
fis-1775	9	32	integrità	integrità	PROPN
fis-1775	9	33	strutturale	strutturale	PROPN
fis-1775	9	34	,	,	PUNCT
fis-1775	9	35	38	38	NUM
fis-1775	9	36	(	(	PUNCT
fis-1775	9	37	2016	2016	NUM
fis-1775	9	38	)	)	PUNCT
fis-1775	9	39	99	99	NUM
fis-1775	9	40	-	-	SYM
fis-1775	9	41	105	105	NUM
fis-1775	9	42	.	.	PUNCT
fis-1775	10	1	received	receive	VERB
fis-1775	10	2	:	:	PUNCT
fis-1775	10	3	12.05.2016	12.05.2016	NUM
fis-1775	10	4	accepted	accept	VERB
fis-1775	10	5	:	:	PUNCT
fis-1775	10	6	15.06.2016	15.06.2016	NUM
fis-1775	10	7	published	publish	VERB
fis-1775	10	8	:	:	PUNCT
fis-1775	11	1	01.10.2016	01.10.2016	NUM
fis-1775	11	2	copyright	copyright	NOUN
fis-1775	11	3	:	:	PUNCT
fis-1775	11	4	©	©	PROPN
fis-1775	11	5	2016	2016	NUM
fis-1775	11	6	this	this	PRON
fis-1775	11	7	is	be	AUX
fis-1775	11	8	an	an	DET
fis-1775	11	9	open	open	ADJ
fis-1775	11	10	access	access	NOUN
fis-1775	11	11	article	article	NOUN
fis-1775	11	12	under	under	ADP
fis-1775	11	13	the	the	DET
fis-1775	11	14	terms	term	NOUN
fis-1775	11	15	of	of	ADP
fis-1775	11	16	the	the	DET
fis-1775	11	17	cc	cc	NOUN
fis-1775	11	18	-	-	PUNCT
fis-1775	11	19	by	by	ADP
fis-1775	11	20	4.0	4.0	NUM
fis-1775	11	21	,	,	PUNCT
fis-1775	11	22	which	which	PRON
fis-1775	11	23	permits	permit	VERB
fis-1775	11	24	unrestricted	unrestricted	ADJ
fis-1775	11	25	use	use	NOUN
fis-1775	11	26	,	,	PUNCT
fis-1775	11	27	distribution	distribution	NOUN
fis-1775	11	28	,	,	PUNCT
fis-1775	11	29	and	and	CCONJ
fis-1775	11	30	reproduction	reproduction	NOUN
fis-1775	11	31	in	in	ADP
fis-1775	11	32	any	any	DET
fis-1775	11	33	medium	medium	NOUN
fis-1775	11	34	,	,	PUNCT
fis-1775	11	35	provided	provide	VERB
fis-1775	11	36	the	the	DET
fis-1775	11	37	original	original	ADJ
fis-1775	11	38	author	author	NOUN
fis-1775	11	39	and	and	CCONJ
fis-1775	11	40	source	source	NOUN
fis-1775	11	41	are	be	AUX
fis-1775	11	42	credited	credit	VERB
fis-1775	11	43	.	.	PUNCT
fis-1775	12	1	introduction	introduction	NOUN
fis-1775	12	2	irection	irection	NOUN
fis-1775	12	3	-	-	PUNCT
fis-1775	12	4	sensitive	sensitive	ADJ
fis-1775	12	5	materials	material	NOUN
fis-1775	12	6	like	like	ADP
fis-1775	12	7	most	most	ADJ
fis-1775	12	8	metallic	metallic	ADJ
fis-1775	12	9	alloys	alloy	NOUN
fis-1775	12	10	tend	tend	VERB
fis-1775	12	11	to	to	PART
fis-1775	12	12	initiate	initiate	VERB
fis-1775	12	13	a	a	DET
fis-1775	12	14	single	single	ADJ
fis-1775	12	15	dominant	dominant	ADJ
fis-1775	12	16	microcrack	microcrack	NOUN
fis-1775	12	17	under	under	ADP
fis-1775	12	18	fatigue	fatigue	NOUN
fis-1775	12	19	loadings	loading	NOUN
fis-1775	12	20	.	.	PUNCT
fis-1775	13	1	under	under	ADP
fis-1775	13	2	multiaxial	multiaxial	ADJ
fis-1775	13	3	loading	loading	NOUN
fis-1775	13	4	conditions	condition	NOUN
fis-1775	13	5	this	this	DET
fis-1775	13	6	behavior	behavior	NOUN
fis-1775	13	7	tends	tend	VERB
fis-1775	13	8	to	to	PART
fis-1775	13	9	be	be	AUX
fis-1775	13	10	well	well	ADV
fis-1775	13	11	modeled	model	VERB
fis-1775	13	12	by	by	ADP
fis-1775	13	13	critical	critical	ADJ
fis-1775	13	14	-	-	PUNCT
fis-1775	13	15	plane	plane	NOUN
fis-1775	13	16	fatiguedamage	fatiguedamage	NOUN
fis-1775	13	17	models	model	NOUN
fis-1775	13	18	,	,	PUNCT
fis-1775	13	19	which	which	PRON
fis-1775	13	20	search	search	VERB
fis-1775	13	21	for	for	ADP
fis-1775	13	22	the	the	DET
fis-1775	13	23	material	material	NOUN
fis-1775	13	24	plane	plane	NOUN
fis-1775	13	25	at	at	ADP
fis-1775	13	26	the	the	DET
fis-1775	13	27	critical	critical	ADJ
fis-1775	13	28	point	point	NOUN
fis-1775	13	29	where	where	SCONJ
fis-1775	13	30	the	the	DET
fis-1775	13	31	corresponding	corresponding	ADJ
fis-1775	13	32	accumulated	accumulate	VERB
fis-1775	13	33	damage	damage	NOUN
fis-1775	13	34	parameter	parameter	NOUN
fis-1775	13	35	is	be	AUX
fis-1775	13	36	maximized	maximize	VERB
fis-1775	13	37	.	.	PUNCT
fis-1775	14	1	although	although	SCONJ
fis-1775	14	2	in	in	ADP
fis-1775	14	3	general	general	ADJ
fis-1775	14	4	any	any	DET
fis-1775	14	5	plane	plane	NOUN
fis-1775	14	6	can	can	AUX
fis-1775	14	7	be	be	AUX
fis-1775	14	8	a	a	DET
fis-1775	14	9	candidate	candidate	NOUN
fis-1775	14	10	at	at	ADP
fis-1775	14	11	the	the	DET
fis-1775	14	12	critical	critical	ADJ
fis-1775	14	13	point	point	NOUN
fis-1775	14	14	,	,	PUNCT
fis-1775	14	15	bannantine	bannantine	ADJ
fis-1775	14	16	and	and	CCONJ
fis-1775	14	17	socie	socie	VERB
fis-1775	14	18	[	[	X
fis-1775	14	19	1	1	X
fis-1775	14	20	]	]	PUNCT
fis-1775	14	21	narrowed	narrow	VERB
fis-1775	14	22	down	down	ADP
fis-1775	14	23	the	the	DET
fis-1775	14	24	search	search	NOUN
fis-1775	14	25	space	space	NOUN
fis-1775	14	26	for	for	ADP
fis-1775	14	27	the	the	DET
fis-1775	14	28	critical	critical	ADJ
fis-1775	14	29	plane	plane	NOUN
fis-1775	14	30	at	at	ADP
fis-1775	14	31	the	the	DET
fis-1775	14	32	critical	critical	ADJ
fis-1775	14	33	point	point	NOUN
fis-1775	14	34	of	of	ADP
fis-1775	14	35	the	the	DET
fis-1775	14	36	structural	structural	ADJ
fis-1775	14	37	component	component	NOUN
fis-1775	14	38	when	when	SCONJ
fis-1775	14	39	it	it	PRON
fis-1775	14	40	is	be	AUX
fis-1775	14	41	under	under	ADP
fis-1775	14	42	free	free	ADJ
fis-1775	14	43	-	-	PUNCT
fis-1775	14	44	surface	surface	NOUN
fis-1775	14	45	conditions	condition	NOUN
fis-1775	14	46	,	,	PUNCT
fis-1775	14	47	as	as	ADP
fis-1775	14	48	usual	usual	ADJ
fis-1775	14	49	,	,	PUNCT
fis-1775	14	50	classifying	classify	VERB
fis-1775	14	51	the	the	DET
fis-1775	14	52	most	most	ADV
fis-1775	14	53	common	common	ADJ
fis-1775	14	54	microcracks	microcrack	NOUN
fis-1775	14	55	into	into	ADP
fis-1775	14	56	three	three	NUM
fis-1775	14	57	types	type	NOUN
fis-1775	14	58	,	,	PUNCT
fis-1775	14	59	which	which	PRON
fis-1775	14	60	depend	depend	VERB
fis-1775	14	61	on	on	ADP
fis-1775	14	62	the	the	DET
fis-1775	14	63	fatigue	fatigue	NOUN
fis-1775	14	64	damage	damage	NOUN
fis-1775	14	65	mechanism	mechanism	NOUN
fis-1775	14	66	:	:	PUNCT
fis-1775	14	67	case	case	NOUN
fis-1775	14	68	a	a	DET
fis-1775	14	69	tensile	tensile	NOUN
fis-1775	14	70	or	or	CCONJ
fis-1775	14	71	case	case	NOUN
fis-1775	14	72	a	a	DET
fis-1775	14	73	shear	shear	NOUN
fis-1775	14	74	microcracks	microcrack	NOUN
fis-1775	14	75	,	,	PUNCT
fis-1775	14	76	which	which	PRON
fis-1775	14	77	grow	grow	VERB
fis-1775	14	78	at	at	ADP
fis-1775	14	79	the	the	DET
fis-1775	14	80	critical	critical	ADJ
fis-1775	14	81	point	point	NOUN
fis-1775	14	82	along	along	ADP
fis-1775	14	83	planes	plane	NOUN
fis-1775	14	84	perpendicular	perpendicular	NOUN
fis-1775	14	85	to	to	ADP
fis-1775	14	86	the	the	DET
fis-1775	14	87	free	free	ADJ
fis-1775	14	88	surface	surface	NOUN
fis-1775	14	89	;	;	PUNCT
fis-1775	14	90	and	and	CCONJ
fis-1775	14	91	d	d	PROPN
fis-1775	14	92	h.	h.	PROPN
fis-1775	14	93	wu	wu	PROPN
fis-1775	14	94	et	et	PROPN
fis-1775	14	95	alii	alii	PROPN
fis-1775	14	96	,	,	PUNCT
fis-1775	14	97	frattura	frattura	PROPN
fis-1775	14	98	ed	ed	PROPN
fis-1775	14	99	integrità	integrità	PROPN
fis-1775	14	100	strutturale	strutturale	PROPN
fis-1775	14	101	,	,	PUNCT
fis-1775	14	102	38	38	NUM
fis-1775	14	103	(	(	PUNCT
fis-1775	14	104	2016	2016	NUM
fis-1775	14	105	)	)	PUNCT
fis-1775	14	106	99	99	NUM
fis-1775	14	107	-	-	SYM
fis-1775	14	108	105	105	NUM
fis-1775	14	109	;	;	PUNCT
fis-1775	14	110	doi	doi	NOUN
fis-1775	14	111	:	:	PUNCT
fis-1775	14	112	10.3221	10.3221	NUM
fis-1775	14	113	/	/	SYM
fis-1775	14	114	igf	igf	PROPN
fis-1775	14	115	-	-	PROPN
fis-1775	14	116	esis.38.13	esis.38.13	PROPN
fis-1775	14	117	100	100	NUM
fis-1775	14	118	case	case	NOUN
fis-1775	14	119	b	b	NUM
fis-1775	14	120	shear	shear	NOUN
fis-1775	14	121	microcracks	microcrack	NOUN
fis-1775	14	122	,	,	PUNCT
fis-1775	14	123	which	which	PRON
fis-1775	14	124	grow	grow	VERB
fis-1775	14	125	on	on	ADP
fis-1775	14	126	planes	plane	NOUN
fis-1775	14	127	that	that	PRON
fis-1775	14	128	make	make	VERB
fis-1775	14	129	an	an	DET
fis-1775	14	130	angle	angle	NOUN
fis-1775	14	131			PUNCT
fis-1775	14	132	=	=	SYM
fis-1775	14	133	45o	45o	X
fis-1775	14	134	with	with	ADP
fis-1775	14	135	the	the	DET
fis-1775	14	136	free	free	ADJ
fis-1775	14	137	surface	surface	NOUN
fis-1775	14	138	,	,	PUNCT
fis-1775	14	139	see	see	VERB
fis-1775	14	140	fig	fig	NOUN
fis-1775	14	141	.	.	PUNCT
fis-1775	15	1	1	1	X
fis-1775	15	2	.	.	X
fis-1775	15	3	to	to	PART
fis-1775	15	4	compact	compact	VERB
fis-1775	15	5	and	and	CCONJ
fis-1775	15	6	hopefully	hopefully	ADV
fis-1775	15	7	clarify	clarify	VERB
fis-1775	15	8	the	the	DET
fis-1775	15	9	critical	critical	ADJ
fis-1775	15	10	plane	plane	NOUN
fis-1775	15	11	notation	notation	NOUN
fis-1775	15	12	in	in	ADP
fis-1775	15	13	this	this	DET
fis-1775	15	14	work	work	NOUN
fis-1775	15	15	,	,	PUNCT
fis-1775	15	16	case	case	NOUN
fis-1775	15	17	a	a	DET
fis-1775	15	18	tensile	tensile	NOUN
fis-1775	15	19	planes	plane	NOUN
fis-1775	15	20	are	be	AUX
fis-1775	15	21	represented	represent	VERB
fis-1775	15	22	as	as	ADP
fis-1775	15	23	a90(t	a90(t	NOUN
fis-1775	15	24	)	)	PUNCT
fis-1775	15	25	,	,	PUNCT
fis-1775	15	26	case	case	NOUN
fis-1775	15	27	a	a	DET
fis-1775	15	28	shear	shear	NOUN
fis-1775	15	29	as	as	ADP
fis-1775	15	30	a90(s	a90(s	PROPN
fis-1775	15	31	)	)	PUNCT
fis-1775	15	32	,	,	PUNCT
fis-1775	15	33	and	and	CCONJ
fis-1775	15	34	case	case	NOUN
fis-1775	15	35	b	b	X
fis-1775	15	36	shear	shear	NOUN
fis-1775	15	37	as	as	ADP
fis-1775	15	38	b45(s	b45(s	NOUN
fis-1775	15	39	)	)	PUNCT
fis-1775	15	40	,	,	PUNCT
fis-1775	15	41	where	where	SCONJ
fis-1775	15	42	90	90	NUM
fis-1775	15	43	or	or	CCONJ
fis-1775	15	44	45	45	NUM
fis-1775	15	45	come	come	VERB
fis-1775	15	46	from	from	ADP
fis-1775	15	47	their	their	PRON
fis-1775	15	48			PUNCT
fis-1775	15	49	angles	angle	NOUN
fis-1775	15	50	in	in	ADP
fis-1775	15	51	degrees	degree	NOUN
fis-1775	15	52	with	with	ADP
fis-1775	15	53	respect	respect	NOUN
fis-1775	15	54	to	to	ADP
fis-1775	15	55	the	the	DET
fis-1775	15	56	free	free	ADJ
fis-1775	15	57	surface	surface	NOUN
fis-1775	15	58	.	.	PUNCT
fis-1775	16	1	a90(t	a90(t	ADJ
fis-1775	16	2	)	)	PUNCT
fis-1775	16	3	or	or	CCONJ
fis-1775	16	4	a90(s	a90(s	NOUN
fis-1775	16	5	)	)	PUNCT
fis-1775	17	1	microcracks	microcrack	NOUN
fis-1775	17	2	only	only	ADV
fis-1775	17	3	involve	involve	VERB
fis-1775	17	4	one	one	NUM
fis-1775	17	5	normal	normal	ADJ
fis-1775	17	6	and	and	CCONJ
fis-1775	17	7	one	one	NUM
fis-1775	17	8	shear	shear	NOUN
fis-1775	17	9	stress	stress	NOUN
fis-1775	17	10	/	/	SYM
fis-1775	17	11	strain	strain	NOUN
fis-1775	17	12	component	component	NOUN
fis-1775	17	13	,	,	PUNCT
fis-1775	17	14	so	so	ADV
fis-1775	17	15	normal	normal	ADJ
fis-1775	17	16	or	or	CCONJ
fis-1775	17	17	shear	shear	NOUN
fis-1775	17	18	ranges	range	NOUN
fis-1775	17	19	are	be	AUX
fis-1775	17	20	quite	quite	ADV
fis-1775	17	21	easy	easy	ADJ
fis-1775	17	22	to	to	PART
fis-1775	17	23	calculate	calculate	VERB
fis-1775	17	24	under	under	ADP
fis-1775	17	25	variable	variable	ADJ
fis-1775	17	26	amplitude	amplitude	NOUN
fis-1775	17	27	loading	loading	NOUN
fis-1775	17	28	(	(	PUNCT
fis-1775	17	29	val	val	NOUN
fis-1775	17	30	)	)	PUNCT
fis-1775	17	31	conditions	condition	NOUN
fis-1775	17	32	using	use	VERB
fis-1775	17	33	classic	classic	ADJ
fis-1775	17	34	uniaxial	uniaxial	ADJ
fis-1775	17	35	rainflow	rainflow	NOUN
fis-1775	17	36	procedures	procedure	NOUN
fis-1775	17	37	.	.	PUNCT
fis-1775	18	1	however	however	ADV
fis-1775	18	2	,	,	PUNCT
fis-1775	18	3	b45(s	b45(s	NOUN
fis-1775	18	4	)	)	PUNCT
fis-1775	18	5	microcracks	microcrack	NOUN
fis-1775	18	6	involve	involve	VERB
fis-1775	18	7	in	in	ADP
fis-1775	18	8	general	general	ADJ
fis-1775	18	9	two	two	NUM
fis-1775	18	10	shear	shear	NOUN
fis-1775	18	11	components	component	NOUN
fis-1775	18	12	,	,	PUNCT
fis-1775	18	13	an	an	DET
fis-1775	18	14	in	in	ADP
fis-1775	18	15	-	-	PUNCT
fis-1775	18	16	plane	plane	NOUN
fis-1775	18	17	stress	stress	NOUN
fis-1775	18	18	a	a	PROPN
fis-1775	18	19	(	(	PUNCT
fis-1775	18	20	or	or	CCONJ
fis-1775	18	21	strain	strain	VERB
fis-1775	18	22	a	a	NOUN
fis-1775	18	23	)	)	PUNCT
fis-1775	18	24	and	and	CCONJ
fis-1775	18	25	an	an	DET
fis-1775	18	26	out	out	ADV
fis-1775	18	27	-	-	PUNCT
fis-1775	18	28	ofplane	ofplane	NOUN
fis-1775	18	29	b	b	ADJ
fis-1775	18	30	(	(	PUNCT
fis-1775	18	31	or	or	CCONJ
fis-1775	18	32	b	b	VERB
fis-1775	18	33	)	)	PUNCT
fis-1775	18	34	,	,	PUNCT
fis-1775	18	35	see	see	VERB
fis-1775	18	36	fig	fig	NOUN
fis-1775	18	37	.	.	PUNCT
fis-1775	19	1	1	1	NUM
fis-1775	19	2	,	,	PUNCT
fis-1775	19	3	which	which	PRON
fis-1775	19	4	must	must	AUX
fis-1775	19	5	be	be	AUX
fis-1775	19	6	properly	properly	ADV
fis-1775	19	7	combined	combine	VERB
fis-1775	19	8	to	to	PART
fis-1775	19	9	evaluate	evaluate	VERB
fis-1775	19	10	their	their	PRON
fis-1775	19	11	joint	joint	ADJ
fis-1775	19	12	effect	effect	NOUN
fis-1775	19	13	on	on	ADP
fis-1775	19	14	fatigue	fatigue	NOUN
fis-1775	19	15	damage	damage	NOUN
fis-1775	19	16	.	.	PUNCT
fis-1775	20	1	figure	figure	NOUN
fis-1775	20	2	1	1	NUM
fis-1775	20	3	:	:	PUNCT
fis-1775	20	4	non	non	ADJ
fis-1775	20	5	-	-	ADJ
fis-1775	20	6	proportional	proportional	ADJ
fis-1775	20	7	shear	shear	NOUN
fis-1775	20	8	strain	strain	NOUN
fis-1775	20	9	path	path	NOUN
fis-1775	20	10	b	b	PROPN
fis-1775	20	11			VERB
fis-1775	20	12	a	a	NOUN
fis-1775	20	13	(	(	PUNCT
fis-1775	20	14	or	or	CCONJ
fis-1775	20	15	shear	shear	VERB
fis-1775	20	16	stress	stress	NOUN
fis-1775	20	17	path	path	NOUN
fis-1775	20	18	b	b	PROPN
fis-1775	20	19			NOUN
fis-1775	20	20	a	a	NOUN
fis-1775	20	21	)	)	PUNCT
fis-1775	21	1	acting	act	VERB
fis-1775	21	2	on	on	ADP
fis-1775	21	3	a	a	DET
fis-1775	21	4	b45	b45	NOUN
fis-1775	21	5	candidate	candidate	NOUN
fis-1775	21	6	plane	plane	NOUN
fis-1775	21	7	(	(	PUNCT
fis-1775	21	8	at	at	ADP
fis-1775	21	9	45o	45o	NUM
fis-1775	21	10	from	from	ADP
fis-1775	21	11	the	the	DET
fis-1775	21	12	free	free	ADJ
fis-1775	21	13	surface	surface	NOUN
fis-1775	21	14	)	)	PUNCT
fis-1775	21	15	,	,	PUNCT
fis-1775	21	16	for	for	ADP
fis-1775	21	17	a	a	DET
fis-1775	21	18	general	general	ADJ
fis-1775	21	19	loading	loading	NOUN
fis-1775	21	20	history	history	NOUN
fis-1775	21	21	.	.	PUNCT
fis-1775	22	1	the	the	DET
fis-1775	22	2	combination	combination	NOUN
fis-1775	22	3	of	of	ADP
fis-1775	22	4	both	both	DET
fis-1775	22	5	usually	usually	ADV
fis-1775	22	6	non	non	ADJ
fis-1775	22	7	-	-	ADJ
fis-1775	22	8	zero	zero	NUM
fis-1775	22	9	b	b	NOUN
fis-1775	22	10	and	and	CCONJ
fis-1775	22	11	a	a	PRON
fis-1775	22	12	ranges	range	NOUN
fis-1775	22	13	may	may	AUX
fis-1775	22	14	cause	cause	VERB
fis-1775	22	15	the	the	DET
fis-1775	22	16	initiation	initiation	NOUN
fis-1775	22	17	of	of	ADP
fis-1775	22	18	a	a	DET
fis-1775	22	19	combined	combine	VERB
fis-1775	22	20	mode	mode	NOUN
fis-1775	22	21	ii	ii	PROPN
fis-1775	22	22	-	-	PUNCT
fis-1775	22	23	iii	iii	NUM
fis-1775	22	24	b45(s	b45(s	NOUN
fis-1775	22	25	)	)	PUNCT
fis-1775	22	26	microcrack	microcrack	NOUN
fis-1775	22	27	,	,	PUNCT
fis-1775	22	28	with	with	ADP
fis-1775	22	29	b	b	NOUN
fis-1775	22	30	mainly	mainly	ADV
fis-1775	22	31	contributing	contribute	VERB
fis-1775	22	32	to	to	PART
fis-1775	22	33	increase	increase	VERB
fis-1775	22	34	its	its	PRON
fis-1775	22	35	depth	depth	NOUN
fis-1775	22	36	while	while	SCONJ
fis-1775	22	37	a	a	ADV
fis-1775	22	38	is	be	AUX
fis-1775	22	39	mainly	mainly	ADV
fis-1775	22	40	tending	tend	VERB
fis-1775	22	41	to	to	PART
fis-1775	22	42	increase	increase	VERB
fis-1775	22	43	its	its	PRON
fis-1775	22	44	width	width	NOUN
fis-1775	22	45	.	.	PUNCT
fis-1775	23	1	the	the	DET
fis-1775	23	2	combination	combination	NOUN
fis-1775	23	3	of	of	ADP
fis-1775	23	4	b	b	NOUN
fis-1775	23	5	and	and	CCONJ
fis-1775	23	6	a	a	VERB
fis-1775	23	7	into	into	ADP
fis-1775	23	8	an	an	DET
fis-1775	23	9	equivalent	equivalent	ADJ
fis-1775	23	10	range	range	NOUN
fis-1775	23	11			PUNCT
fis-1775	23	12	is	be	AUX
fis-1775	23	13	not	not	PART
fis-1775	23	14	a	a	DET
fis-1775	23	15	trivial	trivial	ADJ
fis-1775	23	16	step	step	NOUN
fis-1775	23	17	under	under	ADP
fis-1775	23	18	general	general	ADJ
fis-1775	23	19	np	np	CCONJ
fis-1775	23	20	loadings	loading	NOUN
fis-1775	23	21	,	,	PUNCT
fis-1775	23	22	where	where	SCONJ
fis-1775	23	23	the	the	DET
fis-1775	23	24	b	b	ADJ
fis-1775	23	25	and	and	CCONJ
fis-1775	23	26	the	the	DET
fis-1775	23	27	a	a	ADJ
fis-1775	23	28	histories	history	NOUN
fis-1775	23	29	may	may	AUX
fis-1775	23	30	be	be	AUX
fis-1775	23	31	(	(	PUNCT
fis-1775	23	32	and	and	CCONJ
fis-1775	23	33	usually	usually	ADV
fis-1775	23	34	are	be	AUX
fis-1775	23	35	)	)	PUNCT
fis-1775	23	36	out	out	ADP
fis-1775	23	37	of	of	ADP
fis-1775	23	38	phase	phase	NOUN
fis-1775	23	39	.	.	PUNCT
fis-1775	24	1	this	this	DET
fis-1775	24	2	process	process	NOUN
fis-1775	24	3	requires	require	VERB
fis-1775	24	4	first	first	ADV
fis-1775	24	5	a	a	DET
fis-1775	24	6	2d	2d	NUM
fis-1775	24	7	rainflow	rainflow	NOUN
fis-1775	24	8	algorithm	algorithm	NOUN
fis-1775	24	9	such	such	ADJ
fis-1775	24	10	as	as	ADP
fis-1775	24	11	the	the	DET
fis-1775	24	12	modified	modify	VERB
fis-1775	24	13	wang	wang	PROPN
fis-1775	24	14	brown	brown	PROPN
fis-1775	24	15	method	method	NOUN
fis-1775	24	16	[	[	X
fis-1775	24	17	2	2	NUM
fis-1775	24	18	]	]	PUNCT
fis-1775	24	19	to	to	PART
fis-1775	24	20	identify	identify	VERB
fis-1775	24	21	every	every	DET
fis-1775	24	22	load	load	NOUN
fis-1775	24	23	event	event	NOUN
fis-1775	24	24	from	from	ADP
fis-1775	24	25	the	the	DET
fis-1775	24	26	b	b	PROPN
fis-1775	24	27			NOUN
fis-1775	24	28	a	a	PROPN
fis-1775	24	29	(	(	PUNCT
fis-1775	24	30	or	or	CCONJ
fis-1775	24	31	b	b	VERB
fis-1775	24	32			NOUN
fis-1775	24	33	a	a	NOUN
fis-1775	24	34	)	)	PUNCT
fis-1775	24	35	history	history	NOUN
fis-1775	24	36	.	.	PUNCT
fis-1775	25	1	then	then	ADV
fis-1775	25	2	,	,	PUNCT
fis-1775	25	3	for	for	ADP
fis-1775	25	4	each	each	DET
fis-1775	25	5	identified	identify	VERB
fis-1775	25	6	load	load	NOUN
fis-1775	25	7	event	event	NOUN
fis-1775	25	8	,	,	PUNCT
fis-1775	25	9	its	its	PRON
fis-1775	25	10	path	path	NOUN
fis-1775	25	11	segments	segment	NOUN
fis-1775	25	12	are	be	AUX
fis-1775	25	13	used	use	VERB
fis-1775	25	14	to	to	PART
fis-1775	25	15	calculate	calculate	VERB
fis-1775	25	16	a	a	DET
fis-1775	25	17	path	path	NOUN
fis-1775	25	18	-	-	PUNCT
fis-1775	25	19	equivalent	equivalent	ADJ
fis-1775	25	20	shear	shear	NOUN
fis-1775	25	21	stress	stress	NOUN
fis-1775	25	22			PUNCT
fis-1775	25	23	(	(	PUNCT
fis-1775	25	24	or	or	CCONJ
fis-1775	25	25	strain	strain	VERB
fis-1775	25	26			PRON
fis-1775	25	27	)	)	PUNCT
fis-1775	25	28	range	range	NOUN
fis-1775	25	29	.	.	PUNCT
fis-1775	26	1	the	the	DET
fis-1775	26	2	simplest	simple	ADJ
fis-1775	26	3	approach	approach	NOUN
fis-1775	26	4	for	for	ADP
fis-1775	26	5	the	the	DET
fis-1775	26	6	b	b	PROPN
fis-1775	26	7			NOUN
fis-1775	26	8	a	a	PROPN
fis-1775	26	9	diagram	diagram	NOUN
fis-1775	26	10	is	be	AUX
fis-1775	26	11	to	to	PART
fis-1775	26	12	assume	assume	VERB
fis-1775	26	13	a	a	DET
fis-1775	26	14	pathequivalent	pathequivalent	NOUN
fis-1775	26	15	a	a	DET
fis-1775	26	16	b	b	NOUN
fis-1775	26	17	2	2	NUM
fis-1775	26	18	2	2	NUM
fis-1775	26	19			NOUN
fis-1775	26	20			NOUN
fis-1775	26	21			PROPN
fis-1775	26	22			NOUN
fis-1775	26	23			ADV
fis-1775	26	24			ADJ
fis-1775	26	25	for	for	ADP
fis-1775	26	26	each	each	DET
fis-1775	26	27	identified	identify	VERB
fis-1775	26	28	load	load	NOUN
fis-1775	26	29	event	event	NOUN
fis-1775	26	30	,	,	PUNCT
fis-1775	26	31	as	as	SCONJ
fis-1775	26	32	discussed	discuss	VERB
fis-1775	26	33	in	in	ADP
fis-1775	26	34	[	[	X
fis-1775	26	35	3	3	NUM
fis-1775	26	36	]	]	PUNCT
fis-1775	26	37	.	.	PUNCT
fis-1775	27	1	however	however	ADV
fis-1775	27	2	,	,	PUNCT
fis-1775	27	3	this	this	DET
fis-1775	27	4	simple	simple	ADJ
fis-1775	27	5	equivalent	equivalent	ADJ
fis-1775	27	6	range	range	NOUN
fis-1775	27	7	expression	expression	NOUN
fis-1775	27	8	would	would	AUX
fis-1775	27	9	not	not	PART
fis-1775	27	10	be	be	AUX
fis-1775	27	11	able	able	ADJ
fis-1775	27	12	to	to	PART
fis-1775	27	13	tell	tell	VERB
fis-1775	27	14	apart	apart	ADV
fis-1775	27	15	e.g.	e.g.	ADV
fis-1775	27	16	a	a	DET
fis-1775	27	17	rectangular	rectangular	NOUN
fis-1775	27	18	from	from	ADP
fis-1775	27	19	a	a	DET
fis-1775	27	20	less	less	ADV
fis-1775	27	21	damaging	damaging	ADJ
fis-1775	27	22	cross	cross	ADJ
fis-1775	27	23	-	-	ADJ
fis-1775	27	24	shaped	shaped	ADJ
fis-1775	27	25	b	b	PROPN
fis-1775	27	26			NOUN
fis-1775	27	27	a	a	PROPN
fis-1775	27	28	path	path	NOUN
fis-1775	27	29	with	with	ADP
fis-1775	27	30	same	same	ADJ
fis-1775	27	31	b	b	NOUN
fis-1775	27	32	and	and	CCONJ
fis-1775	27	33	a	a	ADV
fis-1775	27	34	,	,	PUNCT
fis-1775	27	35	because	because	SCONJ
fis-1775	27	36	both	both	PRON
fis-1775	27	37	would	would	AUX
fis-1775	27	38	wrongfully	wrongfully	ADV
fis-1775	27	39	generate	generate	VERB
fis-1775	27	40	the	the	DET
fis-1775	27	41	same	same	ADJ
fis-1775	27	42	equivalent	equivalent	ADJ
fis-1775	27	43	shear	shear	NOUN
fis-1775	27	44	stress	stress	NOUN
fis-1775	27	45	range	range	NOUN
fis-1775	27	46	.	.	NOUN
fis-1775	27	47	hence	hence	ADV
fis-1775	27	48	,	,	PUNCT
fis-1775	27	49	this	this	DET
fis-1775	27	50	path	path	NOUN
fis-1775	27	51	-	-	PUNCT
fis-1775	27	52	equivalent	equivalent	ADJ
fis-1775	27	53	range	range	NOUN
fis-1775	27	54	is	be	AUX
fis-1775	27	55	not	not	PART
fis-1775	27	56	a	a	DET
fis-1775	27	57	suitable	suitable	ADJ
fis-1775	27	58	solution	solution	NOUN
fis-1775	27	59	to	to	PART
fis-1775	27	60	solve	solve	VERB
fis-1775	27	61	these	these	DET
fis-1775	27	62	problems	problem	NOUN
fis-1775	27	63	in	in	ADP
fis-1775	27	64	practical	practical	ADJ
fis-1775	27	65	applications	application	NOUN
fis-1775	27	66	.	.	PUNCT
fis-1775	28	1	another	another	DET
fis-1775	28	2	possible	possible	ADJ
fis-1775	28	3	approach	approach	NOUN
fis-1775	28	4	is	be	AUX
fis-1775	28	5	to	to	PART
fis-1775	28	6	use	use	VERB
fis-1775	28	7	the	the	DET
fis-1775	28	8	so	so	ADV
fis-1775	28	9	-	-	PUNCT
fis-1775	28	10	called	call	VERB
fis-1775	28	11	convex	convex	NOUN
fis-1775	28	12	-	-	PUNCT
fis-1775	28	13	enclosure	enclosure	NOUN
fis-1775	28	14	methods	method	NOUN
fis-1775	28	15	,	,	PUNCT
fis-1775	28	16	which	which	PRON
fis-1775	28	17	try	try	VERB
fis-1775	28	18	to	to	PART
fis-1775	28	19	find	find	VERB
fis-1775	28	20	circles	circle	NOUN
fis-1775	28	21	,	,	PUNCT
fis-1775	28	22	ellipses	ellipsis	NOUN
fis-1775	28	23	,	,	PUNCT
fis-1775	28	24	or	or	CCONJ
fis-1775	28	25	rectangles	rectangle	NOUN
fis-1775	28	26	that	that	PRON
fis-1775	28	27	circumscribe	circumscribe	VERB
fis-1775	28	28	the	the	DET
fis-1775	28	29	load	load	NOUN
fis-1775	28	30	-	-	PUNCT
fis-1775	28	31	event	event	NOUN
fis-1775	28	32	path	path	NOUN
fis-1775	28	33	in	in	ADP
fis-1775	28	34	such	such	ADJ
fis-1775	28	35	2d	2d	NUM
fis-1775	28	36	b	b	PROPN
fis-1775	28	37			NOUN
fis-1775	28	38	a	a	NOUN
fis-1775	28	39	or	or	CCONJ
fis-1775	28	40	b	b	AUX
fis-1775	28	41			VERB
fis-1775	28	42	a	a	NOUN
fis-1775	28	43	diagrams	diagram	NOUN
fis-1775	28	44	.	.	PUNCT
fis-1775	29	1	for	for	ADP
fis-1775	29	2	instance	instance	NOUN
fis-1775	29	3	,	,	PUNCT
fis-1775	29	4	dang	dang	PROPN
fis-1775	29	5	van	van	PROPN
fis-1775	29	6	’s	’s	PART
fis-1775	29	7	pioneer	pioneer	PROPN
fis-1775	29	8	minimum	minimum	NOUN
fis-1775	29	9	ball	ball	NOUN
fis-1775	29	10	method	method	NOUN
fis-1775	29	11	[	[	X
fis-1775	29	12	4	4	X
fis-1775	29	13	]	]	ADJ
fis-1775	29	14	searches	search	NOUN
fis-1775	29	15	for	for	ADP
fis-1775	29	16	the	the	DET
fis-1775	29	17	circle	circle	NOUN
fis-1775	29	18	with	with	ADP
fis-1775	29	19	minimum	minimum	ADJ
fis-1775	29	20	radius	radius	NOUN
fis-1775	29	21	that	that	PRON
fis-1775	29	22	circumscribes	circumscribe	VERB
fis-1775	29	23	each	each	DET
fis-1775	29	24	identified	identify	VERB
fis-1775	29	25	load	load	NOUN
fis-1775	29	26	path	path	NOUN
fis-1775	29	27	;	;	PUNCT
fis-1775	29	28	the	the	DET
fis-1775	29	29	minimum	minimum	ADJ
fis-1775	29	30	ellipse	ellipse	NOUN
fis-1775	29	31	methods	method	NOUN
fis-1775	29	32	[	[	PUNCT
fis-1775	29	33	5	5	NUM
fis-1775	29	34	-	-	SYM
fis-1775	29	35	6	6	NUM
fis-1775	29	36	]	]	PUNCT
fis-1775	29	37	search	search	NOUN
fis-1775	29	38	for	for	ADP
fis-1775	29	39	an	an	DET
fis-1775	29	40	ellipse	ellipse	NOUN
fis-1775	29	41	with	with	ADP
fis-1775	29	42	semi	semi	NOUN
fis-1775	29	43	-	-	NOUN
fis-1775	29	44	axes	axis	NOUN
fis-1775	29	45	a	a	PRON
fis-1775	29	46	and	and	CCONJ
fis-1775	29	47	b	b	NOUN
fis-1775	29	48	that	that	PRON
fis-1775	29	49	circumscribes	circumscribe	VERB
fis-1775	29	50	the	the	DET
fis-1775	29	51	entire	entire	ADJ
fis-1775	29	52	path	path	NOUN
fis-1775	29	53	with	with	ADP
fis-1775	29	54	minimum	minimum	ADJ
fis-1775	29	55	area	area	NOUN
fis-1775	29	56	ab	ab	X
fis-1775	29	57	or	or	CCONJ
fis-1775	29	58	minimum	minimum	ADJ
fis-1775	29	59	“	"	PUNCT
fis-1775	29	60	ellipse	ellipse	NOUN
fis-1775	29	61	norm	norm	NOUN
fis-1775	29	62	”	"	PUNCT
fis-1775	29	63	[	[	X
fis-1775	29	64	a2	a2	PROPN
fis-1775	29	65	+	+	CCONJ
fis-1775	29	66	b2]0.5	b2]0.5	ADJ
fis-1775	29	67	;	;	PUNCT
fis-1775	29	68	and	and	CCONJ
fis-1775	29	69	the	the	DET
fis-1775	29	70	maximum	maximum	ADJ
fis-1775	29	71	rectangular	rectangular	ADJ
fis-1775	29	72	hull	hull	NOUN
fis-1775	29	73	methods	method	NOUN
fis-1775	29	74	search	search	VERB
fis-1775	29	75	for	for	ADP
fis-1775	29	76	a	a	DET
fis-1775	29	77	minimum	minimum	ADJ
fis-1775	29	78	rectangle	rectangle	NOUN
fis-1775	29	79	that	that	PRON
fis-1775	29	80	circumscribes	circumscribe	VERB
fis-1775	29	81	the	the	DET
fis-1775	29	82	path	path	NOUN
fis-1775	29	83	with	with	ADP
fis-1775	29	84	maximum	maximum	ADJ
fis-1775	29	85	area	area	NOUN
fis-1775	29	86	or	or	CCONJ
fis-1775	29	87	maximum	maximum	NOUN
fis-1775	29	88	diagonal	diagonal	ADJ
fis-1775	29	89	[	[	X
fis-1775	29	90	7	7	NUM
fis-1775	29	91	]	]	PUNCT
fis-1775	29	92	.	.	PUNCT
fis-1775	30	1	the	the	DET
fis-1775	30	2	value	value	NOUN
fis-1775	30	3	of	of	ADP
fis-1775	30	4	the	the	DET
fis-1775	30	5	pathequivalent	pathequivalent	NOUN
fis-1775	30	6			PUNCT
fis-1775	30	7	or	or	CCONJ
fis-1775	30	8			PROPN
fis-1775	30	9	would	would	AUX
fis-1775	30	10	be	be	AUX
fis-1775	30	11	assumed	assume	VERB
fis-1775	30	12	as	as	ADP
fis-1775	30	13	the	the	DET
fis-1775	30	14	circle	circle	NOUN
fis-1775	30	15	diameter	diameter	NOUN
fis-1775	30	16	,	,	PUNCT
fis-1775	30	17	the	the	DET
fis-1775	30	18	ellipse	ellipse	NOUN
fis-1775	30	19	norm	norm	NOUN
fis-1775	30	20	,	,	PUNCT
fis-1775	30	21	or	or	CCONJ
fis-1775	30	22	the	the	DET
fis-1775	30	23	rectangle	rectangle	NOUN
fis-1775	30	24	diagonal	diagonal	NOUN
fis-1775	30	25	,	,	PUNCT
fis-1775	30	26	which	which	PRON
fis-1775	30	27	is	be	AUX
fis-1775	30	28	then	then	ADV
fis-1775	30	29	used	use	VERB
fis-1775	30	30	for	for	ADP
fis-1775	30	31	fatigue	fatigue	NOUN
fis-1775	30	32	damage	damage	NOUN
fis-1775	30	33	calculation	calculation	NOUN
fis-1775	30	34	purposes	purpose	NOUN
fis-1775	30	35	.	.	PUNCT
fis-1775	31	1	however	however	ADV
fis-1775	31	2	,	,	PUNCT
fis-1775	31	3	such	such	ADJ
fis-1775	31	4	convex	convex	NOUN
fis-1775	31	5	-	-	PUNCT
fis-1775	31	6	enclosure	enclosure	NOUN
fis-1775	31	7	algorithms	algorithm	NOUN
fis-1775	31	8	do	do	AUX
fis-1775	31	9	not	not	PART
fis-1775	31	10	consider	consider	VERB
fis-1775	31	11	the	the	DET
fis-1775	31	12	actual	actual	ADJ
fis-1775	31	13	shape	shape	NOUN
fis-1775	31	14	of	of	ADP
fis-1775	31	15	the	the	DET
fis-1775	31	16	loading	loading	NOUN
fis-1775	31	17	path	path	NOUN
fis-1775	31	18	.	.	PUNCT
fis-1775	32	1	instead	instead	ADV
fis-1775	32	2	they	they	PRON
fis-1775	32	3	substitute	substitute	VERB
fis-1775	32	4	the	the	DET
fis-1775	32	5	actual	actual	ADJ
fis-1775	32	6	load	load	NOUN
fis-1775	32	7	path	path	NOUN
fis-1775	32	8	by	by	ADP
fis-1775	32	9	some	some	DET
fis-1775	32	10	convex	convex	NOUN
fis-1775	32	11	enclosures	enclosure	NOUN
fis-1775	32	12	associated	associate	VERB
fis-1775	32	13	with	with	ADP
fis-1775	32	14	them	they	PRON
fis-1775	32	15	.	.	PUNCT
fis-1775	33	1	therefore	therefore	ADV
fis-1775	33	2	,	,	PUNCT
fis-1775	33	3	an	an	DET
fis-1775	33	4	infinite	infinite	ADJ
fis-1775	33	5	number	number	NOUN
fis-1775	33	6	of	of	ADP
fis-1775	33	7	loading	loading	NOUN
fis-1775	33	8	paths	path	NOUN
fis-1775	33	9	associated	associate	VERB
fis-1775	33	10	with	with	ADP
fis-1775	33	11	different	different	ADJ
fis-1775	33	12	fatigue	fatigue	NOUN
fis-1775	33	13	lives	life	NOUN
fis-1775	33	14	could	could	AUX
fis-1775	33	15	have	have	VERB
fis-1775	33	16	the	the	DET
fis-1775	33	17	same	same	ADJ
fis-1775	33	18	convex	convex	NOUN
fis-1775	33	19	enclosure	enclosure	NOUN
fis-1775	33	20	,	,	PUNCT
fis-1775	33	21	wrongfully	wrongfully	ADV
fis-1775	33	22	predicting	predict	VERB
fis-1775	33	23	the	the	DET
fis-1775	33	24	same	same	ADJ
fis-1775	33	25	damage	damage	NOUN
fis-1775	33	26	if	if	SCONJ
fis-1775	33	27	such	such	ADJ
fis-1775	33	28	simplified	simplified	ADJ
fis-1775	33	29	path	path	NOUN
fis-1775	33	30	-	-	PUNCT
fis-1775	33	31	equivalent	equivalent	ADJ
fis-1775	33	32	algorithms	algorithm	NOUN
fis-1775	33	33	are	be	AUX
fis-1775	33	34	used	use	VERB
fis-1775	33	35	to	to	PART
fis-1775	33	36	calculate	calculate	VERB
fis-1775	33	37	it	it	PRON
fis-1775	33	38	.	.	PUNCT
fis-1775	34	1	this	this	DET
fis-1775	34	2	issue	issue	NOUN
fis-1775	34	3	has	have	AUX
fis-1775	34	4	been	be	AUX
fis-1775	34	5	solved	solve	VERB
fis-1775	34	6	with	with	ADP
fis-1775	34	7	the	the	DET
fis-1775	34	8	moment	moment	NOUN
fis-1775	34	9	-	-	PUNCT
fis-1775	34	10	of	of	ADP
fis-1775	34	11	-	-	PUNCT
fis-1775	34	12	inertia	inertia	NOUN
fis-1775	34	13	(	(	PUNCT
fis-1775	34	14	moi	moi	X
fis-1775	34	15	)	)	PUNCT
fis-1775	34	16	method	method	NOUN
fis-1775	34	17	,	,	PUNCT
fis-1775	34	18	which	which	PRON
fis-1775	34	19	has	have	AUX
fis-1775	34	20	been	be	AUX
fis-1775	34	21	proposed	propose	VERB
fis-1775	34	22	in	in	ADP
fis-1775	34	23	[	[	PUNCT
fis-1775	34	24	8	8	NUM
fis-1775	34	25	-	-	SYM
fis-1775	34	26	9	9	NUM
fis-1775	34	27	]	]	PUNCT
fis-1775	34	28	to	to	PART
fis-1775	34	29	estimate	estimate	VERB
fis-1775	34	30	path	path	NOUN
fis-1775	34	31	-	-	PUNCT
fis-1775	34	32	equivalent	equivalent	ADJ
fis-1775	34	33	stress	stress	NOUN
fis-1775	34	34	and	and	CCONJ
fis-1775	34	35	strain	strain	VERB
fis-1775	34	36	ranges	range	NOUN
fis-1775	34	37	,	,	PUNCT
fis-1775	34	38	as	as	ADV
fis-1775	34	39	well	well	ADV
fis-1775	34	40	as	as	ADP
fis-1775	34	41	their	their	PRON
fis-1775	34	42	mean	mean	ADJ
fis-1775	34	43	components	component	NOUN
fis-1775	34	44	,	,	PUNCT
fis-1775	34	45	considering	consider	VERB
fis-1775	34	46	the	the	DET
fis-1775	34	47	influence	influence	NOUN
fis-1775	34	48	of	of	ADP
fis-1775	34	49	the	the	DET
fis-1775	34	50	shape	shape	NOUN
fis-1775	34	51	of	of	ADP
fis-1775	34	52	the	the	DET
fis-1775	34	53	h.	h.	PROPN
fis-1775	34	54	wu	wu	PROPN
fis-1775	34	55	et	et	PROPN
fis-1775	34	56	alii	alii	PROPN
fis-1775	34	57	,	,	PUNCT
fis-1775	34	58	frattura	frattura	PROPN
fis-1775	34	59	ed	ed	PROPN
fis-1775	34	60	integrità	integrità	PROPN
fis-1775	34	61	strutturale	strutturale	PROPN
fis-1775	34	62	,	,	PUNCT
fis-1775	34	63	38	38	NUM
fis-1775	34	64	(	(	PUNCT
fis-1775	34	65	2016	2016	NUM
fis-1775	34	66	)	)	PUNCT
fis-1775	34	67	99	99	NUM
fis-1775	34	68	-	-	SYM
fis-1775	34	69	105	105	NUM
fis-1775	34	70	;	;	PUNCT
fis-1775	34	71	doi	doi	NOUN
fis-1775	34	72	:	:	PUNCT
fis-1775	34	73	10.3221	10.3221	NUM
fis-1775	34	74	/	/	SYM
fis-1775	34	75	igf	igf	PROPN
fis-1775	34	76	-	-	PROPN
fis-1775	34	77	esis.38.13	esis.38.13	PROPN
fis-1775	34	78	101	101	NUM
fis-1775	34	79	multiaxial	multiaxial	ADJ
fis-1775	34	80	loading	loading	NOUN
fis-1775	34	81	path	path	NOUN
fis-1775	34	82	,	,	PUNCT
fis-1775	34	83	not	not	PART
fis-1775	34	84	only	only	ADV
fis-1775	34	85	its	its	PRON
fis-1775	34	86	convex	convex	NOUN
fis-1775	34	87	enclosure	enclosure	NOUN
fis-1775	34	88	.	.	PUNCT
fis-1775	35	1	the	the	DET
fis-1775	35	2	general	general	ADJ
fis-1775	35	3	6d	6d	NUM
fis-1775	35	4	version	version	NOUN
fis-1775	35	5	of	of	ADP
fis-1775	35	6	the	the	DET
fis-1775	35	7	moi	moi	NOUN
fis-1775	35	8	is	be	AUX
fis-1775	35	9	reviewed	review	VERB
fis-1775	35	10	next	next	ADV
fis-1775	35	11	,	,	PUNCT
fis-1775	35	12	followed	follow	VERB
fis-1775	35	13	by	by	ADP
fis-1775	35	14	its	its	PRON
fis-1775	35	15	application	application	NOUN
fis-1775	35	16	in	in	ADP
fis-1775	35	17	critical	critical	ADJ
fis-1775	35	18	-	-	PUNCT
fis-1775	35	19	plane	plane	NOUN
fis-1775	35	20	models	model	NOUN
fis-1775	35	21	,	,	PUNCT
fis-1775	35	22	proposed	propose	VERB
fis-1775	35	23	in	in	ADP
fis-1775	35	24	this	this	DET
fis-1775	35	25	work	work	NOUN
fis-1775	35	26	.	.	PUNCT
fis-1775	36	1	further	further	ADJ
fis-1775	36	2	details	detail	NOUN
fis-1775	36	3	on	on	ADP
fis-1775	36	4	how	how	SCONJ
fis-1775	36	5	the	the	DET
fis-1775	36	6	moi	moi	X
fis-1775	36	7	works	work	VERB
fis-1775	36	8	,	,	PUNCT
fis-1775	36	9	and	and	CCONJ
fis-1775	36	10	on	on	ADP
fis-1775	36	11	its	its	PRON
fis-1775	36	12	main	main	ADJ
fis-1775	36	13	advantages	advantage	NOUN
fis-1775	36	14	over	over	ADP
fis-1775	36	15	concurrent	concurrent	ADJ
fis-1775	36	16	convex	convex	NOUN
fis-1775	36	17	-	-	PUNCT
fis-1775	36	18	enclosure	enclosure	NOUN
fis-1775	36	19	methods	method	NOUN
fis-1775	36	20	are	be	AUX
fis-1775	36	21	studied	study	VERB
fis-1775	36	22	in	in	ADP
fis-1775	36	23	the	the	DET
fis-1775	36	24	aforementioned	aforementioned	ADJ
fis-1775	36	25	references	reference	NOUN
fis-1775	36	26	.	.	PUNCT
fis-1775	37	1	the	the	DET
fis-1775	37	2	moment	moment	NOUN
fis-1775	37	3	-	-	PUNCT
fis-1775	37	4	of	of	ADP
fis-1775	37	5	-	-	PUNCT
fis-1775	37	6	inertia	inertia	NOUN
fis-1775	37	7	(	(	PUNCT
fis-1775	37	8	moi	moi	X
fis-1775	37	9	)	)	PUNCT
fis-1775	37	10	method	method	NOUN
fis-1775	37	11	n	n	CCONJ
fis-1775	37	12	the	the	DET
fis-1775	37	13	moi	moi	PROPN
fis-1775	37	14	method	method	NOUN
fis-1775	37	15	,	,	PUNCT
fis-1775	37	16	the	the	DET
fis-1775	37	17	stress	stress	NOUN
fis-1775	37	18	or	or	CCONJ
fis-1775	37	19	strain	strain	NOUN
fis-1775	37	20	path	path	NOUN
fis-1775	37	21	is	be	AUX
fis-1775	37	22	assumed	assume	VERB
fis-1775	37	23	to	to	PART
fis-1775	37	24	be	be	AUX
fis-1775	37	25	represented	represent	VERB
fis-1775	37	26	by	by	ADP
fis-1775	37	27	a	a	DET
fis-1775	37	28	homogeneous	homogeneous	ADJ
fis-1775	37	29	wire	wire	NOUN
fis-1775	37	30	with	with	ADP
fis-1775	37	31	unit	unit	NOUN
fis-1775	37	32	mass	mass	PROPN
fis-1775	37	33	,	,	PUNCT
fis-1775	37	34	whose	whose	DET
fis-1775	37	35	center	center	NOUN
fis-1775	37	36	of	of	ADP
fis-1775	37	37	mass	mass	NOUN
fis-1775	37	38	(	(	PUNCT
fis-1775	37	39	centroid	centroid	NOUN
fis-1775	37	40	)	)	PUNCT
fis-1775	37	41	is	be	AUX
fis-1775	37	42	used	use	VERB
fis-1775	37	43	to	to	PART
fis-1775	37	44	estimate	estimate	VERB
fis-1775	37	45	the	the	DET
fis-1775	37	46	location	location	NOUN
fis-1775	37	47	of	of	ADP
fis-1775	37	48	the	the	DET
fis-1775	37	49	mean	mean	ADJ
fis-1775	37	50	component	component	NOUN
fis-1775	37	51	of	of	ADP
fis-1775	37	52	the	the	DET
fis-1775	37	53	load	load	NOUN
fis-1775	37	54	path	path	NOUN
fis-1775	37	55	.	.	PUNCT
fis-1775	38	1	then	then	ADV
fis-1775	38	2	,	,	PUNCT
fis-1775	38	3	the	the	DET
fis-1775	38	4	mass	mass	ADJ
fis-1775	38	5	moment	moment	NOUN
fis-1775	38	6	of	of	ADP
fis-1775	38	7	inertia	inertia	NOUN
fis-1775	38	8	(	(	PUNCT
fis-1775	38	9	moi	moi	X
fis-1775	38	10	)	)	PUNCT
fis-1775	38	11	of	of	ADP
fis-1775	38	12	this	this	DET
fis-1775	38	13	hypothetical	hypothetical	ADJ
fis-1775	38	14	wire	wire	NOUN
fis-1775	38	15	with	with	ADP
fis-1775	38	16	respect	respect	NOUN
fis-1775	38	17	to	to	ADP
fis-1775	38	18	its	its	PRON
fis-1775	38	19	centroid	centroid	NOUN
fis-1775	38	20	is	be	AUX
fis-1775	38	21	calculated	calculate	VERB
fis-1775	38	22	,	,	PUNCT
fis-1775	38	23	which	which	PRON
fis-1775	38	24	gives	give	VERB
fis-1775	38	25	a	a	DET
fis-1775	38	26	measure	measure	NOUN
fis-1775	38	27	of	of	ADP
fis-1775	38	28	how	how	SCONJ
fis-1775	38	29	much	much	ADJ
fis-1775	38	30	the	the	DET
fis-1775	38	31	path	path	NOUN
fis-1775	38	32	stretches	stretch	VERB
fis-1775	38	33	away	away	ADV
fis-1775	38	34	from	from	ADP
fis-1775	38	35	its	its	PRON
fis-1775	38	36	mean	mean	ADJ
fis-1775	38	37	component	component	NOUN
fis-1775	38	38	.	.	PUNCT
fis-1775	39	1	the	the	DET
fis-1775	39	2	path	path	NOUN
fis-1775	39	3	-	-	PUNCT
fis-1775	39	4	equivalent	equivalent	ADJ
fis-1775	39	5	range	range	NOUN
fis-1775	39	6	of	of	ADP
fis-1775	39	7	the	the	DET
fis-1775	39	8	true	true	ADJ
fis-1775	39	9	stress	stress	NOUN
fis-1775	39	10	or	or	CCONJ
fis-1775	39	11	strain	strain	NOUN
fis-1775	39	12	path	path	NOUN
fis-1775	39	13	is	be	AUX
fis-1775	39	14	finally	finally	ADV
fis-1775	39	15	calculated	calculate	VERB
fis-1775	39	16	as	as	ADP
fis-1775	39	17	a	a	DET
fis-1775	39	18	function	function	NOUN
fis-1775	39	19	of	of	ADP
fis-1775	39	20	this	this	DET
fis-1775	39	21	moi	moi	X
fis-1775	39	22	,	,	PUNCT
fis-1775	39	23	which	which	PRON
fis-1775	39	24	is	be	AUX
fis-1775	39	25	a	a	DET
fis-1775	39	26	physically	physically	ADV
fis-1775	39	27	sound	sound	ADJ
fis-1775	39	28	approximation	approximation	NOUN
fis-1775	39	29	,	,	PUNCT
fis-1775	39	30	since	since	SCONJ
fis-1775	39	31	paths	path	NOUN
fis-1775	39	32	with	with	ADP
fis-1775	39	33	larger	large	ADJ
fis-1775	39	34	amplitudes	amplitude	NOUN
fis-1775	39	35	would	would	AUX
fis-1775	39	36	be	be	AUX
fis-1775	39	37	associated	associate	VERB
fis-1775	39	38	with	with	ADP
fis-1775	39	39	wider	wide	ADJ
fis-1775	39	40	wires	wire	NOUN
fis-1775	39	41	with	with	ADP
fis-1775	39	42	increased	increase	VERB
fis-1775	39	43	moi	moi	X
fis-1775	39	44	.	.	PUNCT
fis-1775	40	1	the	the	DET
fis-1775	40	2	moi	moi	PROPN
fis-1775	40	3	method	method	NOUN
fis-1775	40	4	has	have	AUX
fis-1775	40	5	been	be	AUX
fis-1775	40	6	applied	apply	VERB
fis-1775	40	7	to	to	ADP
fis-1775	40	8	tension	tension	NOUN
fis-1775	40	9	-	-	PUNCT
fis-1775	40	10	torsion	torsion	NOUN
fis-1775	40	11	[	[	X
fis-1775	40	12	10	10	NUM
fis-1775	40	13	]	]	PUNCT
fis-1775	40	14	and	and	CCONJ
fis-1775	40	15	to	to	ADP
fis-1775	40	16	general	general	ADJ
fis-1775	40	17	6d	6d	NUM
fis-1775	40	18	histories	history	NOUN
fis-1775	41	1	[	[	X
fis-1775	41	2	11	11	NUM
fis-1775	41	3	]	]	PUNCT
fis-1775	41	4	,	,	PUNCT
fis-1775	41	5	following	follow	VERB
fis-1775	41	6	a	a	DET
fis-1775	41	7	fatigue	fatigue	NOUN
fis-1775	41	8	damage	damage	NOUN
fis-1775	41	9	calculation	calculation	NOUN
fis-1775	41	10	approach	approach	NOUN
fis-1775	41	11	based	base	VERB
fis-1775	41	12	on	on	ADP
fis-1775	41	13	stress	stress	NOUN
fis-1775	41	14	invariants	invariant	NOUN
fis-1775	41	15	.	.	PUNCT
fis-1775	42	1	for	for	ADP
fis-1775	42	2	6d	6d	NUM
fis-1775	42	3	histories	history	NOUN
fis-1775	42	4	,	,	PUNCT
fis-1775	42	5	the	the	DET
fis-1775	42	6	history	history	NOUN
fis-1775	42	7	must	must	AUX
fis-1775	42	8	first	first	ADV
fis-1775	42	9	be	be	AUX
fis-1775	42	10	represented	represent	VERB
fis-1775	42	11	in	in	ADP
fis-1775	42	12	a	a	DET
fis-1775	42	13	5d	5d	NUM
fis-1775	42	14	deviatoric	deviatoric	ADJ
fis-1775	42	15	stress	stress	NOUN
fis-1775	42	16	or	or	CCONJ
fis-1775	42	17	strain	strain	NOUN
fis-1775	42	18	space	space	NOUN
fis-1775	42	19	,	,	PUNCT
fis-1775	42	20	using	use	VERB
fis-1775	42	21	the	the	DET
fis-1775	42	22	5d	5d	PROPN
fis-1775	42	23	vectors	vector	NOUN
fis-1775	42	24	s	s	PART
fis-1775	42	25			PROPN
fis-1775	42	26	and	and	CCONJ
fis-1775	42	27	e	e	NOUN
fis-1775	42	28	,	,	PUNCT
fis-1775	42	29	defined	define	VERB
fis-1775	42	30	as	as	ADP
fis-1775	42	31	t	t	PROPN
fis-1775	42	32	t	t	PROPN
fis-1775	43	1	y	y	PROPN
fis-1775	43	2	y	y	PROPN
fis-1775	43	3	zz	zz	PROPN
fis-1775	43	4	x	x	SYM
fis-1775	43	5	xy	xy	PROPN
fis-1775	43	6	xz	xz	PROPN
fis-1775	44	1	yz	yz	INTJ
fis-1775	44	2	y	y	PROPN
fis-1775	44	3	z	z	PROPN
fis-1775	44	4	y	y	PROPN
fis-1775	45	1	z	z	NOUN
fis-1775	45	2	xy	xy	INTJ
fis-1775	46	1	xz	xz	PROPN
fis-1775	46	2	yz	yz	PROPN
fis-1775	46	3	x	x	X
fis-1775	47	1	s	s	X
fis-1775	47	2	s	s	X
fis-1775	47	3	s	s	X
fis-1775	47	4	s	s	X
fis-1775	47	5	s	s	X
fis-1775	47	6	s	s	X
fis-1775	47	7	e	e	NOUN
fis-1775	47	8	e	e	X
fis-1775	47	9	e	e	X
fis-1775	47	10	e	e	X
fis-1775	47	11	e	e	X
fis-1775	47	12	e	e	X
fis-1775	47	13	s	s	PROPN
fis-1775	47	14	s	s	X
fis-1775	47	15	s	s	X
fis-1775	47	16	e	e	NOUN
fis-1775	47	17	e	e	X
fis-1775	47	18	1	1	NUM
fis-1775	47	19	2	2	NUM
fis-1775	47	20	3	3	NUM
fis-1775	47	21	4	4	NUM
fis-1775	47	22	5	5	NUM
fis-1775	47	23	1	1	NUM
fis-1775	47	24	2	2	NUM
fis-1775	47	25	3	3	NUM
fis-1775	47	26	4	4	NUM
fis-1775	47	27	5	5	NUM
fis-1775	47	28	1	1	NUM
fis-1775	47	29	2	2	NUM
fis-1775	47	30	3	3	NUM
fis-1775	47	31	4	4	NUM
fis-1775	47	32	5	5	NUM
fis-1775	47	33	1	1	NUM
fis-1775	47	34	2	2	NUM
fis-1775	47	35	3	3	NUM
fis-1775	47	36	4	4	NUM
fis-1775	47	37	5	5	NUM
fis-1775	47	38	[	[	PUNCT
fis-1775	47	39	]	]	PUNCT
fis-1775	47	40	and	and	CCONJ
fis-1775	47	41	[	[	PUNCT
fis-1775	47	42	]	]	X
fis-1775	47	43	,	,	PUNCT
fis-1775	47	44	3	3	NUM
fis-1775	47	45	,	,	PUNCT
fis-1775	47	46	3	3	NUM
fis-1775	47	47	,	,	PUNCT
fis-1775	47	48	s	s	VERB
fis-1775	47	49	3	3	NUM
fis-1775	47	50	,	,	PUNCT
fis-1775	47	51	s	s	VERB
fis-1775	47	52	3	3	NUM
fis-1775	47	53	2	2	NUM
fis-1775	47	54	2	2	NUM
fis-1775	47	55	,	,	PUNCT
fis-1775	47	56	e	e	NOUN
fis-1775	47	57	3	3	NUM
fis-1775	47	58	,	,	PUNCT
fis-1775	47	59	e	e	NOUN
fis-1775	47	60	3	3	NUM
fis-1775	47	61	,	,	PUNCT
fis-1775	47	62	e	e	NOUN
fis-1775	47	63	3	3	NUM
fis-1775	47	64	,	,	PUNCT
fis-1775	47	65	3	3	NUM
fis-1775	47	66	2	2	NUM
fis-1775	47	67	2	2	NUM
fis-1775	47	68	2	2	NUM
fis-1775	47	69	2	2	NUM
fis-1775	47	70	2	2	NUM
fis-1775	47	71			PROPN
fis-1775	47	72			NOUN
fis-1775	47	73			X
fis-1775	47	74			X
fis-1775	48	1			NOUN
fis-1775	48	2			NOUN
fis-1775	48	3			NOUN
fis-1775	48	4			PROPN
fis-1775	48	5			PROPN
fis-1775	48	6			PROPN
fis-1775	48	7			PROPN
fis-1775	48	8			NUM
fis-1775	48	9			NUM
fis-1775	48	10			NUM
fis-1775	48	11			PROPN
fis-1775	48	12			ADV
fis-1775	49	1			ADV
fis-1775	49	2			ADP
fis-1775	49	3			PROPN
fis-1775	49	4			NUM
fis-1775	49	5			VERB
fis-1775	49	6			PROPN
fis-1775	49	7			PROPN
fis-1775	49	8			PROPN
fis-1775	49	9			PROPN
fis-1775	49	10			PROPN
fis-1775	49	11			NOUN
fis-1775	49	12			NUM
fis-1775	49	13			ADV
fis-1775	49	14			PROPN
fis-1775	50	1			PROPN
fis-1775	50	2			NOUN
fis-1775	50	3			PROPN
fis-1775	50	4			PROPN
fis-1775	50	5			PROPN
fis-1775	50	6			NOUN
fis-1775	50	7			ADP
fis-1775	50	8			X
fis-1775	50	9	(	(	PUNCT
fis-1775	50	10	1	1	X
fis-1775	50	11	)	)	PUNCT
fis-1775	50	12	these	these	DET
fis-1775	50	13	deviatoric	deviatoric	ADJ
fis-1775	50	14	stress	stress	NOUN
fis-1775	50	15	and	and	CCONJ
fis-1775	50	16	strain	strain	NOUN
fis-1775	50	17	spaces	space	NOUN
fis-1775	50	18	are	be	AUX
fis-1775	50	19	used	use	VERB
fis-1775	50	20	because	because	SCONJ
fis-1775	50	21	they	they	PRON
fis-1775	50	22	have	have	VERB
fis-1775	50	23	a	a	DET
fis-1775	50	24	significant	significant	ADJ
fis-1775	50	25	advantage	advantage	NOUN
fis-1775	50	26	over	over	ADP
fis-1775	50	27	all	all	DET
fis-1775	50	28	other	other	ADJ
fis-1775	50	29	choices	choice	NOUN
fis-1775	50	30	:	:	PUNCT
fis-1775	50	31	their	their	PRON
fis-1775	50	32	euclidean	euclidean	ADJ
fis-1775	50	33	norms	norm	VERB
fis-1775	50	34	|s	|s	PROPN
fis-1775	50	35	|	|	PROPN
fis-1775	50	36	and	and	CCONJ
fis-1775	50	37	e|	e|	PROPN
fis-1775	51	1	|	|	ADV
fis-1775	51	2	(	(	PUNCT
fis-1775	51	3	1	1	X
fis-1775	51	4	)	)	PUNCT
fis-1775	51	5			NOUN
fis-1775	51	6			PRON
fis-1775	51	7	are	be	AUX
fis-1775	51	8	equal	equal	ADJ
fis-1775	51	9	to	to	ADP
fis-1775	51	10	the	the	DET
fis-1775	51	11	von	von	PROPN
fis-1775	51	12	mises	mises	PROPN
fis-1775	51	13	equivalent	equivalent	ADJ
fis-1775	51	14	stresses	stress	NOUN
fis-1775	51	15	and	and	CCONJ
fis-1775	51	16	strains	strain	NOUN
fis-1775	51	17	,	,	PUNCT
fis-1775	51	18	where	where	SCONJ
fis-1775	51	19			ADJ
fis-1775	51	20	is	be	AUX
fis-1775	51	21	an	an	DET
fis-1775	51	22	effective	effective	ADJ
fis-1775	51	23	poisson	poisson	NOUN
fis-1775	51	24	ratio	ratio	NOUN
fis-1775	51	25	.	.	PUNCT
fis-1775	52	1	for	for	ADP
fis-1775	52	2	2d	2d	NUM
fis-1775	52	3	tension	tension	NOUN
fis-1775	52	4	-	-	PUNCT
fis-1775	52	5	torsion	torsion	NOUN
fis-1775	52	6	histories	history	NOUN
fis-1775	52	7	with	with	ADP
fis-1775	52	8	stress	stress	NOUN
fis-1775	52	9	paths	path	NOUN
fis-1775	52	10	defined	define	VERB
fis-1775	52	11	by	by	ADP
fis-1775	52	12	the	the	DET
fis-1775	52	13	normal	normal	ADJ
fis-1775	52	14	and	and	CCONJ
fis-1775	52	15	shear	shear	ADJ
fis-1775	52	16	components	component	NOUN
fis-1775	52	17	x	x	PROPN
fis-1775	52	18	and	and	CCONJ
fis-1775	52	19	xy	xy	NUM
fis-1775	52	20	,	,	PUNCT
fis-1775	52	21	then	then	ADV
fis-1775	52	22	y	y	PROPN
fis-1775	52	23			PROPN
fis-1775	52	24	z	z	ADJ
fis-1775	52	25			PROPN
fis-1775	52	26	xz	xz	NUM
fis-1775	52	27			PROPN
fis-1775	52	28	yz	yz	ADV
fis-1775	52	29	0	0	NOUN
fis-1775	52	30	,	,	PUNCT
fis-1775	52	31	while	while	SCONJ
fis-1775	52	32	y	y	PROPN
fis-1775	52	33			PROPN
fis-1775	52	34	z	z	PROPN
fis-1775	52	35			PROPN
fis-1775	52	36			PROPN
fis-1775	52	37	∙x	∙x	NUM
fis-1775	52	38	and	and	CCONJ
fis-1775	52	39	xz	xz	PROPN
fis-1775	52	40			NUM
fis-1775	53	1	yz	yz	VERB
fis-1775	54	1			NOUN
fis-1775	54	2	0	0	PUNCT
fis-1775	54	3	.	.	PUNCT
fis-1775	55	1	in	in	ADP
fis-1775	55	2	this	this	DET
fis-1775	55	3	case	case	NOUN
fis-1775	55	4	,	,	PUNCT
fis-1775	55	5	x	x	PUNCT
fis-1775	55	6	xys	xys	NOUN
fis-1775	55	7	s	s	PART
fis-1775	55	8	s1	s1	NOUN
fis-1775	55	9	2	2	NUM
fis-1775	55	10	3	3	NUM
fis-1775	55	11	4	4	NUM
fis-1775	55	12	5	5	NUM
fis-1775	55	13	,	,	PUNCT
fis-1775	55	14	0	0	NUM
fis-1775	55	15	,	,	PUNCT
fis-1775	55	16	3	3	NUM
fis-1775	55	17	,	,	PUNCT
fis-1775	55	18	s	s	NOUN
fis-1775	55	19	0	0	NUM
fis-1775	55	20	,	,	PUNCT
fis-1775	55	21	s	s	PART
fis-1775	55	22	0	0	NUM
fis-1775	55	23			PROPN
fis-1775	55	24			PROPN
fis-1775	55	25			PROPN
fis-1775	55	26			PROPN
fis-1775	55	27			PROPN
fis-1775	55	28	(	(	PUNCT
fis-1775	55	29	2	2	NUM
fis-1775	55	30	)	)	PUNCT
fis-1775	55	31	y	y	PROPN
fis-1775	55	32	z	z	NOUN
fis-1775	55	33	y	y	PROPN
fis-1775	56	1	z	z	NOUN
fis-1775	56	2	xy	xy	PROPN
fis-1775	57	1	x	x	SYM
fis-1775	58	1	xe	xe	PROPN
fis-1775	58	2	e1	e1	VERB
fis-1775	58	3	2	2	NUM
fis-1775	58	4	3	3	NUM
fis-1775	58	5	4	4	NUM
fis-1775	58	6	5(1	5(1	NUM
fis-1775	58	7	)	)	PUNCT
fis-1775	58	8	,	,	PUNCT
fis-1775	58	9	e	e	X
fis-1775	58	10	3	3	NUM
fis-1775	58	11	0	0	NUM
fis-1775	58	12	,	,	PUNCT
fis-1775	58	13	e	e	NOUN
fis-1775	58	14	3	3	NUM
fis-1775	58	15	,	,	PUNCT
fis-1775	58	16	e	e	NOUN
fis-1775	58	17	0	0	NUM
fis-1775	58	18	2	2	NUM
fis-1775	58	19	2	2	NUM
fis-1775	58	20	2	2	NUM
fis-1775	58	21			PROPN
fis-1775	58	22			PROPN
fis-1775	58	23			PROPN
fis-1775	58	24			PROPN
fis-1775	58	25			NUM
fis-1775	58	26			PROPN
fis-1775	58	27			PROPN
fis-1775	58	28			NOUN
fis-1775	58	29			PUNCT
fis-1775	58	30			PROPN
fis-1775	58	31			PROPN
fis-1775	58	32			PROPN
fis-1775	58	33			PROPN
fis-1775	58	34			PROPN
fis-1775	58	35			PUNCT
fis-1775	58	36			PROPN
fis-1775	58	37			PROPN
fis-1775	58	38			PROPN
fis-1775	58	39			PROPN
fis-1775	58	40			PROPN
fis-1775	58	41	(	(	PUNCT
fis-1775	58	42	3	3	NUM
fis-1775	58	43	)	)	PUNCT
fis-1775	58	44	since	since	SCONJ
fis-1775	58	45	only	only	ADJ
fis-1775	58	46	s1	s1	PROPN
fis-1775	58	47	,	,	PUNCT
fis-1775	58	48	s3	s3	PROPN
fis-1775	58	49	,	,	PUNCT
fis-1775	58	50	e1	e1	PROPN
fis-1775	58	51	,	,	PUNCT
fis-1775	58	52	and	and	CCONJ
fis-1775	58	53	e3	e3	NOUN
fis-1775	58	54	are	be	AUX
fis-1775	58	55	not	not	PART
fis-1775	58	56	null	null	ADJ
fis-1775	58	57	,	,	PUNCT
fis-1775	58	58	the	the	DET
fis-1775	58	59	stress	stress	NOUN
fis-1775	58	60	or	or	CCONJ
fis-1775	58	61	strain	strain	NOUN
fis-1775	58	62	paths	path	NOUN
fis-1775	58	63	of	of	ADP
fis-1775	58	64	such	such	ADJ
fis-1775	58	65	tension	tension	NOUN
fis-1775	58	66	-	-	PUNCT
fis-1775	58	67	torsion	torsion	NOUN
fis-1775	58	68	histories	history	NOUN
fis-1775	58	69	can	can	AUX
fis-1775	58	70	be	be	AUX
fis-1775	58	71	represented	represent	VERB
fis-1775	58	72	in	in	ADP
fis-1775	58	73	the	the	DET
fis-1775	58	74	2d	2d	NUM
fis-1775	58	75	deviatoric	deviatoric	NOUN
fis-1775	58	76	diagrams	diagram	NOUN
fis-1775	58	77	s1	s1	PROPN
fis-1775	58	78			PROPN
fis-1775	58	79	s3	s3	PROPN
fis-1775	58	80	or	or	CCONJ
fis-1775	58	81	e1	e1	PROPN
fis-1775	58	82			PROPN
fis-1775	58	83	e3	e3	NOUN
fis-1775	58	84	,	,	PUNCT
fis-1775	58	85	as	as	SCONJ
fis-1775	58	86	shown	show	VERB
fis-1775	58	87	in	in	ADP
fis-1775	58	88	fig	fig	NOUN
fis-1775	58	89	.	.	PUNCT
fis-1775	59	1	2	2	X
fis-1775	59	2	.	.	X
fis-1775	59	3	figure	figure	NOUN
fis-1775	59	4	2	2	NUM
fis-1775	59	5	:	:	PUNCT
fis-1775	59	6	stress	stress	NOUN
fis-1775	59	7	path	path	NOUN
fis-1775	59	8	of	of	ADP
fis-1775	59	9	a	a	DET
fis-1775	59	10	2d	2d	NUM
fis-1775	59	11	tension	tension	NOUN
fis-1775	59	12	-	-	PUNCT
fis-1775	59	13	torsion	torsion	NOUN
fis-1775	59	14	load	load	NOUN
fis-1775	59	15	history	history	NOUN
fis-1775	59	16	in	in	ADP
fis-1775	59	17	the	the	DET
fis-1775	59	18	deviatoric	deviatoric	ADJ
fis-1775	59	19	s1	s1	PROPN
fis-1775	59	20			PROPN
fis-1775	59	21	s3	s3	PROPN
fis-1775	59	22	diagram	diagram	NOUN
fis-1775	59	23	(	(	PUNCT
fis-1775	59	24	left	left	ADJ
fis-1775	59	25	)	)	PUNCT
fis-1775	59	26	and	and	CCONJ
fis-1775	59	27	its	its	PRON
fis-1775	59	28	corresponding	corresponding	ADJ
fis-1775	59	29	strain	strain	NOUN
fis-1775	59	30	path	path	NOUN
fis-1775	59	31	in	in	ADP
fis-1775	59	32	the	the	DET
fis-1775	59	33	e1	e1	PROPN
fis-1775	59	34			NOUN
fis-1775	59	35	e3	e3	NOUN
fis-1775	59	36	diagram	diagram	NOUN
fis-1775	59	37	(	(	PUNCT
fis-1775	59	38	right	right	NOUN
fis-1775	59	39	)	)	PUNCT
fis-1775	59	40	,	,	PUNCT
fis-1775	59	41	both	both	PRON
fis-1775	59	42	assumed	assume	VERB
fis-1775	59	43	as	as	ADP
fis-1775	59	44	homogeneous	homogeneous	ADJ
fis-1775	59	45	wires	wire	NOUN
fis-1775	59	46	with	with	ADP
fis-1775	59	47	unit	unit	NOUN
fis-1775	59	48	mass	mass	PROPN
fis-1775	59	49	.	.	PUNCT
fis-1775	60	1	i	i	PRON
fis-1775	60	2	h.	h.	PROPN
fis-1775	60	3	wu	wu	PROPN
fis-1775	60	4	et	et	PROPN
fis-1775	60	5	alii	alii	PROPN
fis-1775	60	6	,	,	PUNCT
fis-1775	60	7	frattura	frattura	PROPN
fis-1775	60	8	ed	ed	PROPN
fis-1775	60	9	integrità	integrità	PROPN
fis-1775	60	10	strutturale	strutturale	PROPN
fis-1775	60	11	,	,	PUNCT
fis-1775	60	12	38	38	NUM
fis-1775	60	13	(	(	PUNCT
fis-1775	60	14	2016	2016	NUM
fis-1775	60	15	)	)	PUNCT
fis-1775	60	16	99	99	NUM
fis-1775	60	17	-	-	SYM
fis-1775	60	18	105	105	NUM
fis-1775	60	19	;	;	PUNCT
fis-1775	60	20	doi	doi	NOUN
fis-1775	60	21	:	:	PUNCT
fis-1775	60	22	10.3221	10.3221	NUM
fis-1775	60	23	/	/	SYM
fis-1775	60	24	igf	igf	PROPN
fis-1775	60	25	-	-	PROPN
fis-1775	60	26	esis.38.13	esis.38.13	PROPN
fis-1775	60	27	102	102	NUM
fis-1775	60	28	the	the	DET
fis-1775	60	29	tension	tension	NOUN
fis-1775	60	30	-	-	PUNCT
fis-1775	60	31	torsion	torsion	NOUN
fis-1775	60	32	version	version	NOUN
fis-1775	60	33	of	of	ADP
fis-1775	60	34	the	the	DET
fis-1775	60	35	moi	moi	PROPN
fis-1775	60	36	method	method	NOUN
fis-1775	60	37	assumes	assume	VERB
fis-1775	60	38	that	that	SCONJ
fis-1775	60	39	the	the	DET
fis-1775	60	40	2d	2d	PROPN
fis-1775	60	41	load	load	NOUN
fis-1775	60	42	path	path	NOUN
fis-1775	60	43	,	,	PUNCT
fis-1775	60	44	which	which	PRON
fis-1775	60	45	is	be	AUX
fis-1775	60	46	represented	represent	VERB
fis-1775	60	47	by	by	ADP
fis-1775	60	48	a	a	DET
fis-1775	60	49	series	series	NOUN
fis-1775	60	50	of	of	ADP
fis-1775	60	51	points	point	NOUN
fis-1775	60	52	(	(	PUNCT
fis-1775	60	53	s1	s1	NOUN
fis-1775	60	54	,	,	PUNCT
fis-1775	60	55	s3	s3	PROPN
fis-1775	60	56	)	)	PUNCT
fis-1775	60	57	or	or	CCONJ
fis-1775	60	58	(	(	PUNCT
fis-1775	60	59	e1	e1	NOUN
fis-1775	60	60	,	,	PUNCT
fis-1775	60	61	e3	e3	NOUN
fis-1775	60	62	)	)	PUNCT
fis-1775	60	63	that	that	PRON
fis-1775	60	64	describe	describe	VERB
fis-1775	60	65	the	the	DET
fis-1775	60	66	stress	stress	NOUN
fis-1775	60	67	or	or	CCONJ
fis-1775	60	68	strain	strain	VERB
fis-1775	60	69	variations	variation	NOUN
fis-1775	60	70	along	along	ADP
fis-1775	60	71	it	it	PRON
fis-1775	60	72	,	,	PUNCT
fis-1775	60	73	is	be	AUX
fis-1775	60	74	analogous	analogous	ADJ
fis-1775	60	75	to	to	ADP
fis-1775	60	76	a	a	DET
fis-1775	60	77	homogeneous	homogeneous	ADJ
fis-1775	60	78	wire	wire	NOUN
fis-1775	60	79	with	with	ADP
fis-1775	60	80	unit	unit	NOUN
fis-1775	60	81	mass	mass	PROPN
fis-1775	60	82	.	.	PUNCT
fis-1775	61	1	the	the	DET
fis-1775	61	2	mean	mean	ADJ
fis-1775	61	3	component	component	NOUN
fis-1775	61	4	of	of	ADP
fis-1775	61	5	the	the	DET
fis-1775	61	6	path	path	NOUN
fis-1775	61	7	is	be	AUX
fis-1775	61	8	assumed	assume	VERB
fis-1775	61	9	to	to	PART
fis-1775	61	10	be	be	AUX
fis-1775	61	11	located	locate	VERB
fis-1775	61	12	at	at	ADP
fis-1775	61	13	the	the	DET
fis-1775	61	14	center	center	NOUN
fis-1775	61	15	of	of	ADP
fis-1775	61	16	gravity	gravity	NOUN
fis-1775	61	17	of	of	ADP
fis-1775	61	18	this	this	DET
fis-1775	61	19	hypothetical	hypothetical	ADJ
fis-1775	61	20	homogeneous	homogeneous	ADJ
fis-1775	61	21	wire	wire	NOUN
fis-1775	61	22	shaped	shape	VERB
fis-1775	61	23	as	as	ADP
fis-1775	61	24	the	the	DET
fis-1775	61	25	load	load	NOUN
fis-1775	61	26	history	history	NOUN
fis-1775	61	27	path	path	NOUN
fis-1775	61	28	.	.	PUNCT
fis-1775	62	1	its	its	PRON
fis-1775	62	2	center	center	NOUN
fis-1775	62	3	of	of	ADP
fis-1775	62	4	gravity	gravity	NOUN
fis-1775	62	5	is	be	AUX
fis-1775	62	6	located	locate	VERB
fis-1775	62	7	at	at	ADP
fis-1775	62	8	the	the	DET
fis-1775	62	9	perimeter	perimeter	PROPN
fis-1775	62	10	centroid	centroid	NOUN
fis-1775	62	11	(	(	PUNCT
fis-1775	62	12	s1	s1	PROPN
fis-1775	62	13	m	m	PROPN
fis-1775	62	14	,	,	PUNCT
fis-1775	62	15	s3	s3	PROPN
fis-1775	62	16	m	m	PROPN
fis-1775	62	17	)	)	PUNCT
fis-1775	62	18	or	or	CCONJ
fis-1775	62	19	(	(	PUNCT
fis-1775	62	20	e1	e1	PROPN
fis-1775	62	21	m	m	PROPN
fis-1775	62	22	,	,	PUNCT
fis-1775	62	23	e3	e3	NOUN
fis-1775	62	24	m	m	NOUN
fis-1775	62	25	)	)	PUNCT
fis-1775	62	26	of	of	ADP
fis-1775	62	27	the	the	DET
fis-1775	62	28	stress	stress	NOUN
fis-1775	62	29	or	or	CCONJ
fis-1775	62	30	strain	strain	NOUN
fis-1775	62	31	paths	path	NOUN
fis-1775	62	32	,	,	PUNCT
fis-1775	62	33	calculated	calculate	VERB
fis-1775	62	34	from	from	ADP
fis-1775	62	35	contour	contour	NOUN
fis-1775	62	36	integrals	integral	NOUN
fis-1775	62	37	along	along	ADP
fis-1775	62	38	it	it	PRON
fis-1775	62	39	m	m	VERB
fis-1775	62	40	s	s	NOUN
fis-1775	62	41	m	m	NOUN
fis-1775	62	42	s	s	NOUN
fis-1775	63	1	ss	ss	NOUN
fis-1775	63	2	p	p	NOUN
fis-1775	63	3	s	s	X
fis-1775	63	4	ds	ds	PRON
fis-1775	63	5	s	s	X
fis-1775	63	6	p	p	X
fis-1775	63	7	s	s	X
fis-1775	63	8	ds	ds	ADJ
fis-1775	63	9	p	p	NOUN
fis-1775	63	10	ds1	ds1	PROPN
fis-1775	63	11	1	1	NUM
fis-1775	63	12	3	3	NUM
fis-1775	63	13	3(1	3(1	NUM
fis-1775	63	14	)	)	PUNCT
fis-1775	64	1	|	|	ADV
fis-1775	64	2	|	|	ADV
fis-1775	64	3	,	,	PUNCT
fis-1775	64	4	(	(	PUNCT
fis-1775	64	5	1	1	X
fis-1775	64	6	)	)	PUNCT
fis-1775	64	7	|	|	ADV
fis-1775	64	8	|	|	ADV
fis-1775	64	9	,	,	PUNCT
fis-1775	64	10	|	|	ADV
fis-1775	64	11	|	|	ADJ
fis-1775	64	12			CCONJ
fis-1775	64	13			ADP
fis-1775	64	14			ADJ
fis-1775	64	15			PROPN
fis-1775	64	16			ADJ
fis-1775	64	17			PROPN
fis-1775	64	18			PROPN
fis-1775	64	19			PROPN
fis-1775	64	20			X
fis-1775	64	21			PUNCT
fis-1775	64	22			ADP
fis-1775	64	23			X
fis-1775	64	24			X
fis-1775	64	25	(	(	PUNCT
fis-1775	64	26	4	4	NUM
fis-1775	64	27	)	)	PUNCT
fis-1775	64	28	m	m	VERB
fis-1775	64	29	e	e	NOUN
fis-1775	64	30	m	m	NOUN
fis-1775	64	31	e	e	X
fis-1775	64	32	ee	ee	ADP
fis-1775	64	33	p	p	PROPN
fis-1775	64	34	e	e	X
fis-1775	64	35	de	de	X
fis-1775	64	36	e	e	PROPN
fis-1775	64	37	p	p	PROPN
fis-1775	64	38	e	e	PROPN
fis-1775	64	39	de	de	X
fis-1775	64	40	p	p	PROPN
fis-1775	64	41	de1	de1	PROPN
fis-1775	64	42	1	1	NUM
fis-1775	64	43	3	3	NUM
fis-1775	64	44	3(1	3(1	NUM
fis-1775	64	45	)	)	PUNCT
fis-1775	64	46	|	|	ADV
fis-1775	64	47	|	|	ADV
fis-1775	64	48	,	,	PUNCT
fis-1775	64	49	(	(	PUNCT
fis-1775	64	50	1	1	X
fis-1775	64	51	)	)	PUNCT
fis-1775	64	52	|	|	ADV
fis-1775	64	53	|	|	ADV
fis-1775	64	54	,	,	PUNCT
fis-1775	64	55	|	|	ADV
fis-1775	64	56	|	|	ADJ
fis-1775	64	57			CCONJ
fis-1775	64	58			ADP
fis-1775	64	59			ADJ
fis-1775	64	60			PROPN
fis-1775	64	61			ADJ
fis-1775	64	62			PROPN
fis-1775	64	63			PROPN
fis-1775	64	64			PROPN
fis-1775	64	65			X
fis-1775	64	66			PUNCT
fis-1775	64	67			ADP
fis-1775	64	68			X
fis-1775	64	69			X
fis-1775	64	70	(	(	PUNCT
fis-1775	64	71	5	5	NUM
fis-1775	64	72	)	)	PUNCT
fis-1775	64	73	where	where	SCONJ
fis-1775	64	74	ds|	ds|	PROPN
fis-1775	64	75	|	|	NOUN
fis-1775	64	76	and	and	CCONJ
fis-1775	64	77	de|	de|	PROPN
fis-1775	64	78	|	|	NOUN
fis-1775	64	79	are	be	AUX
fis-1775	64	80	the	the	DET
fis-1775	64	81	lengths	length	NOUN
fis-1775	64	82	of	of	ADP
fis-1775	64	83	infinitesimal	infinitesimal	ADJ
fis-1775	64	84	segments	segment	NOUN
fis-1775	64	85	of	of	ADP
fis-1775	64	86	the	the	DET
fis-1775	64	87	stress	stress	NOUN
fis-1775	64	88	and	and	CCONJ
fis-1775	64	89	strain	strain	NOUN
fis-1775	64	90	paths	path	NOUN
fis-1775	64	91	,	,	PUNCT
fis-1775	64	92	while	while	SCONJ
fis-1775	64	93	ps	ps	PROPN
fis-1775	64	94	and	and	CCONJ
fis-1775	64	95	pe	pe	PROPN
fis-1775	64	96	are	be	AUX
fis-1775	64	97	the	the	DET
fis-1775	64	98	respective	respective	ADJ
fis-1775	64	99	path	path	NOUN
fis-1775	64	100	perimeters	perimeter	NOUN
fis-1775	64	101	,	,	PUNCT
fis-1775	64	102	see	see	VERB
fis-1775	64	103	fig	fig	NOUN
fis-1775	64	104	.	.	PUNCT
fis-1775	65	1	2	2	X
fis-1775	65	2	.	.	X
fis-1775	65	3	the	the	DET
fis-1775	65	4	moi	moi	PROPN
fis-1775	65	5	method	method	NOUN
fis-1775	65	6	calculates	calculate	VERB
fis-1775	65	7	the	the	DET
fis-1775	65	8	path	path	NOUN
fis-1775	65	9	-	-	PUNCT
fis-1775	65	10	equivalent	equivalent	ADJ
fis-1775	65	11	range	range	NOUN
fis-1775	65	12	of	of	ADP
fis-1775	65	13	a	a	DET
fis-1775	65	14	stress	stress	NOUN
fis-1775	65	15	or	or	CCONJ
fis-1775	65	16	strain	strain	VERB
fis-1775	65	17	path	path	NOUN
fis-1775	65	18	from	from	ADP
fis-1775	65	19	the	the	DET
fis-1775	65	20	mass	mass	ADJ
fis-1775	65	21	moment	moment	NOUN
fis-1775	65	22	of	of	ADP
fis-1775	65	23	inertia	inertia	NOUN
fis-1775	65	24	(	(	PUNCT
fis-1775	65	25	moi	moi	X
fis-1775	65	26	)	)	PUNCT
fis-1775	65	27	of	of	ADP
fis-1775	65	28	its	its	PRON
fis-1775	65	29	corresponding	corresponding	ADJ
fis-1775	65	30	unit	unit	NOUN
fis-1775	65	31	-	-	PUNCT
fis-1775	65	32	mass	mass	ADJ
fis-1775	65	33	homogeneous	homogeneous	ADJ
fis-1775	65	34	wire	wire	NOUN
fis-1775	65	35	.	.	PUNCT
fis-1775	66	1	however	however	ADV
fis-1775	66	2	,	,	PUNCT
fis-1775	66	3	instead	instead	ADV
fis-1775	66	4	of	of	ADP
fis-1775	66	5	using	use	VERB
fis-1775	66	6	the	the	DET
fis-1775	66	7	axial	axial	ADJ
fis-1775	66	8	moi	moi	NOUN
fis-1775	66	9	of	of	ADP
fis-1775	66	10	the	the	DET
fis-1775	66	11	analogous	analogous	ADJ
fis-1775	66	12	wire	wire	NOUN
fis-1775	66	13	,	,	PUNCT
fis-1775	66	14	which	which	PRON
fis-1775	66	15	is	be	AUX
fis-1775	66	16	calculated	calculate	VERB
fis-1775	66	17	about	about	ADP
fis-1775	66	18	an	an	DET
fis-1775	66	19	axis	axis	NOUN
fis-1775	66	20	,	,	PUNCT
fis-1775	66	21	the	the	DET
fis-1775	66	22	polar	polar	ADJ
fis-1775	66	23	moi	moi	X
fis-1775	66	24	(	(	PUNCT
fis-1775	66	25	pmoi	pmoi	PROPN
fis-1775	66	26	)	)	PUNCT
fis-1775	66	27	is	be	AUX
fis-1775	66	28	adopted	adopt	VERB
fis-1775	66	29	instead	instead	ADV
fis-1775	66	30	,	,	PUNCT
fis-1775	66	31	which	which	PRON
fis-1775	66	32	represents	represent	VERB
fis-1775	66	33	the	the	DET
fis-1775	66	34	distribution	distribution	NOUN
fis-1775	66	35	of	of	ADP
fis-1775	66	36	the	the	DET
fis-1775	66	37	wire	wire	NOUN
fis-1775	66	38	(	(	PUNCT
fis-1775	66	39	or	or	CCONJ
fis-1775	66	40	load	load	NOUN
fis-1775	66	41	)	)	PUNCT
fis-1775	66	42	path	path	NOUN
fis-1775	66	43	about	about	ADP
fis-1775	66	44	a	a	DET
fis-1775	66	45	single	single	ADJ
fis-1775	66	46	point	point	NOUN
fis-1775	66	47	,	,	PUNCT
fis-1775	66	48	its	its	PRON
fis-1775	66	49	perimeter	perimeter	NOUN
fis-1775	66	50	centroid	centroid	NOUN
fis-1775	66	51	.	.	PUNCT
fis-1775	67	1	the	the	DET
fis-1775	67	2	pmoi	pmoi	NOUN
fis-1775	67	3	of	of	ADP
fis-1775	67	4	the	the	DET
fis-1775	67	5	stress	stress	NOUN
fis-1775	67	6	or	or	CCONJ
fis-1775	67	7	strain	strain	VERB
fis-1775	67	8	path	path	NOUN
fis-1775	67	9	about	about	ADP
fis-1775	67	10	the	the	DET
fis-1775	67	11	perimeter	perimeter	PROPN
fis-1775	67	12	centroid	centroid	PROPN
fis-1775	67	13	is	be	AUX
fis-1775	67	14	then	then	ADV
fis-1775	67	15	obtained	obtain	VERB
fis-1775	67	16	from	from	ADP
fis-1775	67	17	the	the	DET
fis-1775	67	18	contour	contour	NOUN
fis-1775	67	19	integral	integral	NOUN
fis-1775	67	20	of	of	ADP
fis-1775	67	21	the	the	DET
fis-1775	67	22	square	square	NOUN
fis-1775	67	23	of	of	ADP
fis-1775	67	24	the	the	DET
fis-1775	67	25	distance	distance	NOUN
fis-1775	67	26	rm	rm	NOUN
fis-1775	67	27	between	between	ADP
fis-1775	67	28	each	each	DET
fis-1775	67	29	point	point	NOUN
fis-1775	67	30	in	in	ADP
fis-1775	67	31	the	the	DET
fis-1775	67	32	path	path	NOUN
fis-1775	67	33	and	and	CCONJ
fis-1775	67	34	the	the	DET
fis-1775	67	35	path	path	NOUN
fis-1775	67	36	centroid	centroid	NOUN
fis-1775	67	37	,	,	PUNCT
fis-1775	67	38	see	see	VERB
fis-1775	67	39	fig	fig	NOUN
fis-1775	67	40	.	.	PUNCT
fis-1775	68	1	2	2	NUM
fis-1775	68	2	,	,	PUNCT
fis-1775	68	3	resulting	result	VERB
fis-1775	68	4	in	in	ADP
fis-1775	68	5	p	p	PROPN
fis-1775	68	6	m	m	NOUN
fis-1775	68	7	m	m	VERB
fis-1775	68	8	m	m	VERB
fis-1775	68	9	m	m	VERB
fis-1775	68	10	s	s	NOUN
fis-1775	68	11	e	e	NOUN
fis-1775	68	12	r	r	NOUN
fis-1775	68	13	rm	rm	NOUN
fis-1775	68	14	m	m	NOUN
fis-1775	69	1	i	i	NOUN
fis-1775	69	2	s	s	VERB
fis-1775	69	3	s	s	X
fis-1775	69	4	s	s	X
fis-1775	69	5	s	s	X
fis-1775	69	6	ds	ds	NOUN
fis-1775	69	7	e	e	X
fis-1775	69	8	e	e	X
fis-1775	69	9	e	e	X
fis-1775	69	10	e	e	X
fis-1775	69	11	de	de	X
fis-1775	69	12	p	p	X
fis-1775	69	13	p	p	PROPN
fis-1775	69	14	2	2	NUM
fis-1775	69	15	2	2	NUM
fis-1775	69	16	2	2	NUM
fis-1775	69	17	2	2	NUM
fis-1775	69	18	1	1	NUM
fis-1775	69	19	1	1	NUM
fis-1775	69	20	3	3	NUM
fis-1775	69	21	3	3	NUM
fis-1775	69	22	1	1	NUM
fis-1775	69	23	1	1	NUM
fis-1775	69	24	3	3	NUM
fis-1775	69	25	3	3	NUM
fis-1775	69	26	2	2	NUM
fis-1775	69	27	2	2	NUM
fis-1775	69	28	1	1	NUM
fis-1775	69	29	1	1	NUM
fis-1775	69	30	(	(	PUNCT
fis-1775	69	31	)	)	PUNCT
fis-1775	70	1	(	(	PUNCT
fis-1775	70	2	)	)	PUNCT
fis-1775	71	1	|	|	ADV
fis-1775	71	2	|	|	ADV
fis-1775	71	3	or	or	CCONJ
fis-1775	71	4	(	(	PUNCT
fis-1775	71	5	)	)	PUNCT
fis-1775	71	6	(	(	PUNCT
fis-1775	71	7	)	)	PUNCT
fis-1775	71	8	|	|	ADV
fis-1775	71	9	|	|	PUNCT
fis-1775	71	10			ADP
fis-1775	71	11			PROPN
fis-1775	71	12			PROPN
fis-1775	71	13			PROPN
fis-1775	71	14			PROPN
fis-1775	71	15			VERB
fis-1775	71	16			PROPN
fis-1775	71	17			PROPN
fis-1775	71	18			PUNCT
fis-1775	71	19			NOUN
fis-1775	71	20			PROPN
fis-1775	71	21			VERB
fis-1775	71	22			PROPN
fis-1775	71	23			PUNCT
fis-1775	71	24			ADP
fis-1775	71	25			X
fis-1775	71	26			X
fis-1775	71	27			X
fis-1775	71	28	(	(	PUNCT
fis-1775	71	29	6	6	NUM
fis-1775	71	30	)	)	PUNCT
fis-1775	71	31	the	the	DET
fis-1775	71	32	path	path	NOUN
fis-1775	71	33	-	-	PUNCT
fis-1775	71	34	equivalent	equivalent	ADJ
fis-1775	71	35	ranges	range	NOUN
fis-1775	71	36	are	be	AUX
fis-1775	71	37	assumed	assume	VERB
fis-1775	71	38	proportional	proportional	ADJ
fis-1775	71	39	to	to	ADP
fis-1775	71	40	the	the	DET
fis-1775	71	41	radius	radius	NOUN
fis-1775	71	42	of	of	ADP
fis-1775	71	43	gyration	gyration	NOUN
fis-1775	71	44	of	of	ADP
fis-1775	71	45	the	the	DET
fis-1775	71	46	path	path	NOUN
fis-1775	71	47	,	,	PUNCT
fis-1775	71	48	which	which	PRON
fis-1775	71	49	is	be	AUX
fis-1775	71	50	equal	equal	ADJ
fis-1775	71	51	to	to	ADP
fis-1775	71	52	the	the	DET
fis-1775	71	53	square	square	ADJ
fis-1775	71	54	root	root	NOUN
fis-1775	71	55	of	of	ADP
fis-1775	71	56	the	the	DET
fis-1775	71	57	pmoi	pmoi	NOUN
fis-1775	71	58	of	of	ADP
fis-1775	71	59	the	the	DET
fis-1775	71	60	unit	unit	NOUN
fis-1775	71	61	-	-	PUNCT
fis-1775	71	62	mass	mass	NOUN
fis-1775	71	63	wire	wire	NOUN
fis-1775	71	64	.	.	PUNCT
fis-1775	72	1	this	this	DET
fis-1775	72	2	hypothesis	hypothesis	NOUN
fis-1775	72	3	is	be	AUX
fis-1775	72	4	physically	physically	ADV
fis-1775	72	5	sound	sound	ADJ
fis-1775	72	6	,	,	PUNCT
fis-1775	72	7	since	since	SCONJ
fis-1775	72	8	path	path	NOUN
fis-1775	72	9	segments	segment	NOUN
fis-1775	72	10	of	of	ADP
fis-1775	72	11	the	the	DET
fis-1775	72	12	load	load	NOUN
fis-1775	72	13	history	history	NOUN
fis-1775	72	14	further	far	ADV
fis-1775	72	15	away	away	ADV
fis-1775	72	16	from	from	ADP
fis-1775	72	17	their	their	PRON
fis-1775	72	18	mean	mean	ADJ
fis-1775	72	19	components	component	NOUN
fis-1775	72	20	contribute	contribute	VERB
fis-1775	72	21	more	more	ADJ
fis-1775	72	22	to	to	ADP
fis-1775	72	23	the	the	DET
fis-1775	72	24	path	path	NOUN
fis-1775	72	25	-	-	PUNCT
fis-1775	72	26	equivalent	equivalent	ADJ
fis-1775	72	27	range	range	NOUN
fis-1775	72	28	,	,	PUNCT
fis-1775	72	29	in	in	ADP
fis-1775	72	30	the	the	DET
fis-1775	72	31	same	same	ADJ
fis-1775	72	32	way	way	NOUN
fis-1775	72	33	that	that	PRON
fis-1775	72	34	wire	wire	NOUN
fis-1775	72	35	segments	segment	VERB
fis-1775	72	36	further	far	ADV
fis-1775	72	37	away	away	ADV
fis-1775	72	38	from	from	ADP
fis-1775	72	39	the	the	DET
fis-1775	72	40	perimeter	perimeter	NOUN
fis-1775	72	41	centroid	centroid	PROPN
fis-1775	72	42	contribute	contribute	VERB
fis-1775	72	43	more	more	ADV
fis-1775	72	44	to	to	ADP
fis-1775	72	45	the	the	DET
fis-1775	72	46	pmoi	pmoi	NOUN
fis-1775	72	47	of	of	ADP
fis-1775	72	48	an	an	DET
fis-1775	72	49	imaginary	imaginary	ADJ
fis-1775	72	50	homogeneous	homogeneous	ADJ
fis-1775	72	51	wire	wire	NOUN
fis-1775	72	52	.	.	PUNCT
fis-1775	73	1	the	the	DET
fis-1775	73	2	path	path	NOUN
fis-1775	73	3	-	-	PUNCT
fis-1775	73	4	equivalent	equivalent	ADJ
fis-1775	73	5	stress	stress	NOUN
fis-1775	73	6	and	and	CCONJ
fis-1775	73	7	strain	strain	NOUN
fis-1775	73	8	ranges	range	NOUN
fis-1775	73	9	become	become	VERB
fis-1775	73	10	then	then	ADV
fis-1775	73	11	mises	mises	PROPN
fis-1775	73	12	mises	mises	PROPN
fis-1775	73	13	pi	pi	VERB
fis-1775	73	14	or	or	CCONJ
fis-1775	73	15	(	(	PUNCT
fis-1775	73	16	1	1	NUM
fis-1775	73	17	)	)	PUNCT
fis-1775	73	18	12	12	NUM
fis-1775	73	19			PROPN
fis-1775	73	20			PROPN
fis-1775	73	21			ADJ
fis-1775	73	22			NUM
fis-1775	73	23			ADV
fis-1775	73	24			PROPN
fis-1775	73	25			PROPN
fis-1775	73	26	(	(	PUNCT
fis-1775	73	27	7	7	NUM
fis-1775	73	28	)	)	PUNCT
fis-1775	73	29	the	the	DET
fis-1775	73	30	moi	moi	X
fis-1775	73	31	method	method	NOUN
fis-1775	73	32	for	for	ADP
fis-1775	73	33	the	the	DET
fis-1775	73	34	critical	critical	ADJ
fis-1775	73	35	-	-	PUNCT
fis-1775	73	36	plane	plane	NOUN
fis-1775	73	37	approach	approach	NOUN
fis-1775	73	38	he	he	PRON
fis-1775	73	39	moi	moi	X
fis-1775	73	40	method	method	NOUN
fis-1775	73	41	has	have	AUX
fis-1775	73	42	been	be	AUX
fis-1775	73	43	shown	show	VERB
fis-1775	73	44	experimentally	experimentally	ADV
fis-1775	73	45	to	to	PART
fis-1775	73	46	effectively	effectively	ADV
fis-1775	73	47	estimate	estimate	VERB
fis-1775	73	48	path	path	NOUN
fis-1775	73	49	-	-	PUNCT
fis-1775	73	50	equivalent	equivalent	NOUN
fis-1775	73	51	ranges	range	NOUN
fis-1775	74	1	[	[	X
fis-1775	74	2	10	10	NUM
fis-1775	74	3	-	-	SYM
fis-1775	74	4	11	11	NUM
fis-1775	74	5	]	]	PUNCT
fis-1775	74	6	.	.	PUNCT
fis-1775	75	1	for	for	ADP
fis-1775	75	2	convex	convex	NOUN
fis-1775	75	3	stress	stress	NOUN
fis-1775	75	4	or	or	CCONJ
fis-1775	75	5	strain	strain	NOUN
fis-1775	75	6	paths	path	NOUN
fis-1775	75	7	,	,	PUNCT
fis-1775	75	8	it	it	PRON
fis-1775	75	9	essentially	essentially	ADV
fis-1775	75	10	reproduces	reproduce	VERB
fis-1775	75	11	the	the	DET
fis-1775	75	12	good	good	ADJ
fis-1775	75	13	predictions	prediction	NOUN
fis-1775	75	14	from	from	ADP
fis-1775	75	15	the	the	DET
fis-1775	75	16	maximum	maximum	PROPN
fis-1775	75	17	rectangular	rectangular	ADJ
fis-1775	75	18	hull	hull	NOUN
fis-1775	75	19	method	method	NOUN
fis-1775	75	20	[	[	X
fis-1775	75	21	7	7	NUM
fis-1775	75	22	]	]	PUNCT
fis-1775	75	23	.	.	PUNCT
fis-1775	76	1	moreover	moreover	ADV
fis-1775	76	2	,	,	PUNCT
fis-1775	76	3	for	for	ADP
fis-1775	76	4	non	non	ADJ
fis-1775	76	5	-	-	ADJ
fis-1775	76	6	convex	convex	ADJ
fis-1775	76	7	paths	path	NOUN
fis-1775	76	8	such	such	ADJ
fis-1775	76	9	as	as	ADP
fis-1775	76	10	cross	cross	NOUN
fis-1775	76	11	or	or	CCONJ
fis-1775	76	12	star	star	NOUN
fis-1775	76	13	-	-	PUNCT
fis-1775	76	14	shaped	shape	VERB
fis-1775	76	15	paths	path	NOUN
fis-1775	76	16	,	,	PUNCT
fis-1775	76	17	the	the	DET
fis-1775	76	18	moi	moi	PROPN
fis-1775	76	19	method	method	NOUN
fis-1775	76	20	results	result	NOUN
fis-1775	76	21	in	in	ADP
fis-1775	76	22	better	well	ADJ
fis-1775	76	23	pathequivalent	pathequivalent	NOUN
fis-1775	76	24	ranges	range	VERB
fis-1775	76	25	than	than	ADP
fis-1775	76	26	any	any	DET
fis-1775	76	27	convex	convex	NOUN
fis-1775	76	28	-	-	PUNCT
fis-1775	76	29	enclosure	enclosure	NOUN
fis-1775	76	30	method	method	NOUN
fis-1775	76	31	.	.	PUNCT
fis-1775	77	1	the	the	DET
fis-1775	77	2	6d	6d	NUM
fis-1775	77	3	generalization	generalization	NOUN
fis-1775	77	4	of	of	ADP
fis-1775	77	5	the	the	DET
fis-1775	77	6	moi	moi	X
fis-1775	77	7	method	method	NOUN
fis-1775	77	8	can	can	AUX
fis-1775	77	9	be	be	AUX
fis-1775	77	10	directly	directly	ADV
fis-1775	77	11	used	use	VERB
fis-1775	77	12	with	with	ADP
fis-1775	77	13	invariant	invariant	NOUN
fis-1775	77	14	-	-	PUNCT
fis-1775	77	15	based	base	VERB
fis-1775	77	16	multiaxial	multiaxial	ADJ
fis-1775	77	17	fatigue	fatigue	NOUN
fis-1775	77	18	damage	damage	NOUN
fis-1775	77	19	models	model	NOUN
fis-1775	77	20	like	like	ADP
fis-1775	77	21	sines	sine	NOUN
fis-1775	77	22	and	and	CCONJ
fis-1775	77	23	crossland	crossland	PROPN
fis-1775	77	24	.	.	PUNCT
fis-1775	78	1	however	however	ADV
fis-1775	78	2	,	,	PUNCT
fis-1775	78	3	models	model	NOUN
fis-1775	78	4	based	base	VERB
fis-1775	78	5	on	on	ADP
fis-1775	78	6	stress	stress	NOUN
fis-1775	78	7	or	or	CCONJ
fis-1775	78	8	strain	strain	NOUN
fis-1775	78	9	invariants	invariant	NOUN
fis-1775	78	10	like	like	SCONJ
fis-1775	78	11	von	von	PROPN
fis-1775	78	12	mises	mises	PROPN
fis-1775	78	13	should	should	AUX
fis-1775	78	14	not	not	PART
fis-1775	78	15	be	be	AUX
fis-1775	78	16	used	use	VERB
fis-1775	78	17	to	to	PART
fis-1775	78	18	make	make	VERB
fis-1775	78	19	multiaxial	multiaxial	ADJ
fis-1775	78	20	fatigue	fatigue	NOUN
fis-1775	78	21	damage	damage	NOUN
fis-1775	78	22	predictions	prediction	NOUN
fis-1775	78	23	for	for	ADP
fis-1775	78	24	directional	directional	ADJ
fis-1775	78	25	-	-	PUNCT
fis-1775	78	26	damage	damage	NOUN
fis-1775	78	27	materials	material	NOUN
fis-1775	78	28	,	,	PUNCT
fis-1775	78	29	like	like	ADP
fis-1775	78	30	most	most	ADJ
fis-1775	78	31	metallic	metallic	ADJ
fis-1775	78	32	alloys	alloy	NOUN
fis-1775	78	33	,	,	PUNCT
fis-1775	78	34	which	which	PRON
fis-1775	78	35	fail	fail	VERB
fis-1775	78	36	due	due	ADP
fis-1775	78	37	to	to	ADP
fis-1775	78	38	a	a	DET
fis-1775	78	39	single	single	ADJ
fis-1775	78	40	dominant	dominant	ADJ
fis-1775	78	41	crack	crack	NOUN
fis-1775	78	42	.	.	PUNCT
fis-1775	79	1	according	accord	VERB
fis-1775	79	2	to	to	ADP
fis-1775	79	3	the	the	DET
fis-1775	79	4	critical	critical	ADJ
fis-1775	79	5	-	-	PUNCT
fis-1775	79	6	plane	plane	NOUN
fis-1775	79	7	approach	approach	NOUN
fis-1775	79	8	,	,	PUNCT
fis-1775	79	9	the	the	DET
fis-1775	79	10	moi	moi	X
fis-1775	79	11	method	method	NOUN
fis-1775	79	12	would	would	AUX
fis-1775	79	13	lead	lead	VERB
fis-1775	79	14	to	to	ADP
fis-1775	79	15	significant	significant	ADJ
fis-1775	79	16	errors	error	NOUN
fis-1775	79	17	if	if	SCONJ
fis-1775	79	18	directly	directly	ADV
fis-1775	79	19	applied	apply	VERB
fis-1775	79	20	to	to	ADP
fis-1775	79	21	the	the	DET
fis-1775	79	22	original	original	ADJ
fis-1775	79	23	np	np	INTJ
fis-1775	79	24	deviatoric	deviatoric	ADJ
fis-1775	79	25	histories	history	NOUN
fis-1775	79	26	,	,	PUNCT
fis-1775	79	27	because	because	SCONJ
fis-1775	79	28	the	the	DET
fis-1775	79	29	resulting	result	VERB
fis-1775	79	30	ranges	range	NOUN
fis-1775	79	31	would	would	AUX
fis-1775	79	32	be	be	AUX
fis-1775	79	33	calculated	calculate	VERB
fis-1775	79	34	on	on	ADP
fis-1775	79	35	different	different	ADJ
fis-1775	79	36	planes	plane	NOUN
fis-1775	79	37	at	at	ADP
fis-1775	79	38	different	different	ADJ
fis-1775	79	39	points	point	NOUN
fis-1775	79	40	in	in	ADP
fis-1775	79	41	time	time	NOUN
fis-1775	79	42	,	,	PUNCT
fis-1775	79	43	not	not	PART
fis-1775	79	44	on	on	ADP
fis-1775	79	45	the	the	DET
fis-1775	79	46	critical	critical	ADJ
fis-1775	79	47	plane	plane	NOUN
fis-1775	79	48	where	where	SCONJ
fis-1775	79	49	the	the	DET
fis-1775	79	50	microcrack	microcrack	NOUN
fis-1775	79	51	is	be	AUX
fis-1775	79	52	expected	expect	VERB
fis-1775	79	53	to	to	PART
fis-1775	79	54	initiate	initiate	VERB
fis-1775	79	55	under	under	ADP
fis-1775	79	56	multiaxial	multiaxial	ADJ
fis-1775	79	57	fatigue	fatigue	NOUN
fis-1775	79	58	loads	load	NOUN
fis-1775	79	59	.	.	PUNCT
fis-1775	80	1	instead	instead	ADV
fis-1775	80	2	of	of	ADP
fis-1775	80	3	projecting	project	VERB
fis-1775	80	4	the	the	DET
fis-1775	80	5	original	original	ADJ
fis-1775	80	6	6d	6d	NUM
fis-1775	80	7	stress	stress	NOUN
fis-1775	80	8	or	or	CCONJ
fis-1775	80	9	strain	strain	VERB
fis-1775	80	10	history	history	NOUN
fis-1775	80	11	onto	onto	ADP
fis-1775	80	12	5d	5d	NUM
fis-1775	80	13	deviatoric	deviatoric	ADJ
fis-1775	80	14	spaces	space	NOUN
fis-1775	80	15	,	,	PUNCT
fis-1775	80	16	it	it	PRON
fis-1775	80	17	should	should	AUX
fis-1775	80	18	be	be	AUX
fis-1775	80	19	projected	project	VERB
fis-1775	80	20	onto	onto	ADP
fis-1775	80	21	the	the	DET
fis-1775	80	22	several	several	ADJ
fis-1775	80	23	candidate	candidate	NOUN
fis-1775	80	24	planes	plane	NOUN
fis-1775	80	25	before	before	ADP
fis-1775	80	26	proceeding	proceed	VERB
fis-1775	80	27	with	with	ADP
fis-1775	80	28	the	the	DET
fis-1775	80	29	fatigue	fatigue	NOUN
fis-1775	80	30	damage	damage	NOUN
fis-1775	80	31	analysis	analysis	NOUN
fis-1775	80	32	.	.	PUNCT
fis-1775	81	1	as	as	SCONJ
fis-1775	81	2	discussed	discuss	VERB
fis-1775	81	3	before	before	ADV
fis-1775	81	4	,	,	PUNCT
fis-1775	81	5	for	for	ADP
fis-1775	81	6	directional	directional	ADJ
fis-1775	81	7	-	-	PUNCT
fis-1775	81	8	damage	damage	NOUN
fis-1775	81	9	materials	material	NOUN
fis-1775	81	10	,	,	PUNCT
fis-1775	81	11	the	the	DET
fis-1775	81	12	moi	moi	X
fis-1775	81	13	method	method	NOUN
fis-1775	81	14	would	would	AUX
fis-1775	81	15	only	only	ADV
fis-1775	81	16	be	be	AUX
fis-1775	81	17	needed	need	VERB
fis-1775	81	18	for	for	ADP
fis-1775	81	19	a	a	DET
fis-1775	81	20	b45(s	b45(s	NOUN
fis-1775	81	21	)	)	PUNCT
fis-1775	81	22	microcrack	microcrack	NOUN
fis-1775	81	23	subjected	subject	VERB
fis-1775	81	24	to	to	ADP
fis-1775	81	25	mixed	mixed	ADJ
fis-1775	81	26	mode	mode	PROPN
fis-1775	81	27	ii	ii	PROPN
fis-1775	81	28	-	-	PUNCT
fis-1775	81	29	iii	iii	PROPN
fis-1775	81	30	loading	loading	NOUN
fis-1775	81	31	,	,	PUNCT
fis-1775	81	32	in	in	ADP
fis-1775	81	33	the	the	DET
fis-1775	81	34	search	search	NOUN
fis-1775	81	35	for	for	ADP
fis-1775	81	36	the	the	DET
fis-1775	81	37	angle	angle	NOUN
fis-1775	81	38	of	of	PROPN
fis-1775	81	39	a	a	DET
fis-1775	81	40	candidate	candidate	NOUN
fis-1775	81	41	plane	plane	NOUN
fis-1775	81	42	(	(	PUNCT
fis-1775	81	43			NOUN
fis-1775	81	44	,	,	PUNCT
fis-1775	81	45	=	=	NOUN
fis-1775	81	46	45o	45o	NUM
fis-1775	81	47	)	)	PUNCT
fis-1775	81	48	loaded	load	VERB
fis-1775	81	49	by	by	ADP
fis-1775	81	50	a	a	DET
fis-1775	81	51	projected	project	VERB
fis-1775	81	52	np	np	PRON
fis-1775	81	53	history	history	NOUN
fis-1775	81	54	combining	combine	VERB
fis-1775	81	55	in	in	ADP
fis-1775	81	56	-	-	PUNCT
fis-1775	81	57	plane	plane	NOUN
fis-1775	81	58	shear	shear	NOUN
fis-1775	81	59	stresses	stress	VERB
fis-1775	81	60	a(	a(	NOUN
fis-1775	81	61	,	,	PUNCT
fis-1775	81	62	45o	45o	NUM
fis-1775	81	63	)	)	PUNCT
fis-1775	81	64	or	or	CCONJ
fis-1775	81	65	strains	strain	VERB
fis-1775	81	66	a(	a(	PROPN
fis-1775	81	67	,	,	PUNCT
fis-1775	81	68	45o	45o	NUM
fis-1775	81	69	)	)	PUNCT
fis-1775	81	70	and	and	CCONJ
fis-1775	81	71	out	out	ADV
fis-1775	81	72	-	-	PUNCT
fis-1775	81	73	of	of	ADP
fis-1775	81	74	-	-	PUNCT
fis-1775	81	75	plane	plane	NOUN
fis-1775	81	76	shear	shear	NOUN
fis-1775	81	77	stresses	stress	VERB
fis-1775	81	78	b(	b(	NUM
fis-1775	81	79	,	,	PUNCT
fis-1775	81	80	45o	45o	NUM
fis-1775	81	81	)	)	PUNCT
fis-1775	81	82	or	or	CCONJ
fis-1775	81	83	strains	strain	VERB
fis-1775	81	84	b(	b(	NOUN
fis-1775	81	85	,	,	PUNCT
fis-1775	81	86	45o	45o	NUM
fis-1775	81	87	)	)	PUNCT
fis-1775	81	88	.	.	PUNCT
fis-1775	82	1	to	to	PART
fis-1775	82	2	do	do	VERB
fis-1775	82	3	so	so	ADV
fis-1775	82	4	,	,	PUNCT
fis-1775	82	5	the	the	DET
fis-1775	82	6	load	load	NOUN
fis-1775	82	7	history	history	NOUN
fis-1775	82	8	of	of	ADP
fis-1775	82	9	the	the	DET
fis-1775	82	10	two	two	NUM
fis-1775	82	11	shear	shear	NOUN
fis-1775	82	12	stresses	stress	NOUN
fis-1775	82	13	or	or	CCONJ
fis-1775	82	14	strains	strain	VERB
fis-1775	82	15	acting	act	VERB
fis-1775	82	16	parallel	parallel	NOUN
fis-1775	82	17	to	to	ADP
fis-1775	82	18	each	each	DET
fis-1775	82	19	b45	b45	NOUN
fis-1775	82	20	t	t	PROPN
fis-1775	82	21	h.	h.	PROPN
fis-1775	82	22	wu	wu	PROPN
fis-1775	82	23	et	et	PROPN
fis-1775	82	24	alii	alii	PROPN
fis-1775	82	25	,	,	PUNCT
fis-1775	82	26	frattura	frattura	PROPN
fis-1775	82	27	ed	ed	PROPN
fis-1775	82	28	integrità	integrità	PROPN
fis-1775	82	29	strutturale	strutturale	PROPN
fis-1775	82	30	,	,	PUNCT
fis-1775	82	31	38	38	NUM
fis-1775	82	32	(	(	PUNCT
fis-1775	82	33	2016	2016	NUM
fis-1775	82	34	)	)	PUNCT
fis-1775	82	35	99	99	NUM
fis-1775	82	36	-	-	SYM
fis-1775	82	37	105	105	NUM
fis-1775	82	38	;	;	PUNCT
fis-1775	82	39	doi	doi	NOUN
fis-1775	82	40	:	:	PUNCT
fis-1775	82	41	10.3221	10.3221	NUM
fis-1775	82	42	/	/	SYM
fis-1775	82	43	igf	igf	PROPN
fis-1775	82	44	-	-	PROPN
fis-1775	82	45	esis.38.13	esis.38.13	PROPN
fis-1775	82	46	103	103	NUM
fis-1775	82	47	candidate	candidate	NOUN
fis-1775	82	48	plane	plane	NOUN
fis-1775	82	49	first	first	ADV
fis-1775	82	50	needs	need	VERB
fis-1775	82	51	to	to	PART
fis-1775	82	52	be	be	AUX
fis-1775	82	53	represented	represent	VERB
fis-1775	82	54	in	in	ADP
fis-1775	82	55	a	a	DET
fis-1775	82	56	2d	2d	NUM
fis-1775	82	57	b	b	PROPN
fis-1775	82	58			NOUN
fis-1775	82	59	a	a	NOUN
fis-1775	82	60	or	or	CCONJ
fis-1775	82	61	b	b	AUX
fis-1775	82	62			PROPN
fis-1775	82	63	a	a	NOUN
fis-1775	82	64	diagram	diagram	PROPN
fis-1775	82	65	,	,	PUNCT
fis-1775	82	66	see	see	VERB
fis-1775	82	67	fig	fig	NOUN
fis-1775	82	68	.	.	PUNCT
fis-1775	83	1	3	3	NUM
fis-1775	83	2	,	,	PUNCT
fis-1775	83	3	where	where	SCONJ
fis-1775	83	4	a	a	DET
fis-1775	83	5	2d	2d	NUM
fis-1775	83	6	rainflow	rainflow	NOUN
fis-1775	83	7	followed	follow	VERB
fis-1775	83	8	by	by	ADP
fis-1775	83	9	the	the	DET
fis-1775	83	10	2d	2d	PROPN
fis-1775	83	11	moi	moi	X
fis-1775	83	12	method	method	NOUN
fis-1775	83	13	can	can	AUX
fis-1775	83	14	be	be	AUX
fis-1775	83	15	applied	apply	VERB
fis-1775	83	16	.	.	PUNCT
fis-1775	84	1	for	for	ADP
fis-1775	84	2	each	each	DET
fis-1775	84	3	rainflow	rainflow	NOUN
fis-1775	84	4	-	-	PUNCT
fis-1775	84	5	counted	count	VERB
fis-1775	84	6	path	path	NOUN
fis-1775	84	7	,	,	PUNCT
fis-1775	84	8	the	the	DET
fis-1775	84	9	path	path	NOUN
fis-1775	84	10	perimeters	perimeter	VERB
fis-1775	84	11	p	p	PROPN
fis-1775	84	12	or	or	CCONJ
fis-1775	84	13	p	p	NOUN
fis-1775	84	14	,	,	PUNCT
fis-1775	84	15	the	the	DET
fis-1775	84	16	mean	mean	ADJ
fis-1775	84	17	shear	shear	NOUN
fis-1775	84	18	components	component	NOUN
fis-1775	84	19	(	(	PUNCT
fis-1775	84	20	bm	bm	NOUN
fis-1775	84	21	,	,	PUNCT
fis-1775	84	22	am	am	NOUN
fis-1775	84	23	)	)	PUNCT
fis-1775	84	24	or	or	CCONJ
fis-1775	84	25	(	(	PUNCT
fis-1775	84	26	bm	bm	NOUN
fis-1775	84	27	,	,	PUNCT
fis-1775	84	28	am	am	PROPN
fis-1775	84	29	)	)	PUNCT
fis-1775	84	30	,	,	PUNCT
fis-1775	84	31	the	the	DET
fis-1775	84	32	associated	associate	VERB
fis-1775	84	33	pmoi	pmoi	NOUN
fis-1775	84	34	ip	ip	NOUN
fis-1775	84	35	,	,	PUNCT
fis-1775	84	36	and	and	CCONJ
fis-1775	84	37	the	the	DET
fis-1775	84	38	resulting	result	VERB
fis-1775	84	39	path	path	NOUN
fis-1775	84	40	-	-	PUNCT
fis-1775	84	41	equivalent	equivalent	NOUN
fis-1775	84	42	ranges	range	NOUN
fis-1775	84	43			PUNCT
fis-1775	84	44	and	and	CCONJ
fis-1775	84	45			NOUN
fis-1775	84	46	from	from	ADP
fis-1775	84	47	the	the	DET
fis-1775	84	48	moi	moi	PROPN
fis-1775	84	49	method	method	NOUN
fis-1775	84	50	become	become	VERB
fis-1775	84	51	a	a	DET
fis-1775	84	52	b	b	NOUN
fis-1775	84	53	a	a	DET
fis-1775	84	54	bp	bp	PROPN
fis-1775	85	1	d	d	PROPN
fis-1775	85	2	d	d	X
fis-1775	85	3	p	p	X
fis-1775	85	4	d	d	PROPN
fis-1775	85	5	d2	d2	PROPN
fis-1775	85	6	2	2	NUM
fis-1775	85	7	2	2	NUM
fis-1775	85	8	2	2	NUM
fis-1775	85	9	,	,	PUNCT
fis-1775	85	10			NOUN
fis-1775	85	11			PROPN
fis-1775	85	12			PROPN
fis-1775	85	13			PROPN
fis-1775	85	14			PROPN
fis-1775	85	15			ADP
fis-1775	85	16			PROPN
fis-1775	85	17			NOUN
fis-1775	85	18			PUNCT
fis-1775	85	19	(	(	PUNCT
fis-1775	85	20	8)	8)	NUM
fis-1775	85	21	bm	bm	PROPN
fis-1775	85	22	b	b	PROPN
fis-1775	85	23	a	a	DET
fis-1775	85	24	b	b	NOUN
fis-1775	85	25	am	be	AUX
fis-1775	85	26	a	a	PRON
fis-1775	85	27	a	a	DET
fis-1775	85	28	bp	bp	NOUN
fis-1775	85	29	d	d	PROPN
fis-1775	85	30	d	d	X
fis-1775	85	31	p	p	X
fis-1775	85	32	d	d	PROPN
fis-1775	85	33	d2	d2	PROPN
fis-1775	85	34	2	2	NUM
fis-1775	85	35	2	2	NUM
fis-1775	85	36	2(1	2(1	NUM
fis-1775	85	37	)	)	PUNCT
fis-1775	85	38	,	,	PUNCT
fis-1775	85	39	(	(	PUNCT
fis-1775	85	40	1	1	X
fis-1775	85	41	)	)	PUNCT
fis-1775	85	42			NOUN
fis-1775	85	43			NOUN
fis-1775	85	44			NOUN
fis-1775	85	45			NOUN
fis-1775	85	46			NOUN
fis-1775	85	47			NOUN
fis-1775	85	48			NOUN
fis-1775	85	49			NOUN
fis-1775	85	50			VERB
fis-1775	85	51			PROPN
fis-1775	85	52			PROPN
fis-1775	85	53			ADV
fis-1775	85	54			PRON
fis-1775	85	55			PROPN
fis-1775	85	56			PROPN
fis-1775	85	57			NUM
fis-1775	85	58			PUNCT
fis-1775	85	59	(	(	PUNCT
fis-1775	85	60	9	9	X
fis-1775	85	61	)	)	PUNCT
fis-1775	85	62	bm	bm	PROPN
fis-1775	85	63	b	b	PROPN
fis-1775	85	64	a	a	DET
fis-1775	85	65	b	b	NOUN
fis-1775	85	66	am	be	AUX
fis-1775	85	67	a	a	PRON
fis-1775	85	68	a	a	DET
fis-1775	85	69	bp	bp	NOUN
fis-1775	86	1	d	d	PROPN
fis-1775	86	2	d	d	X
fis-1775	86	3	p	p	X
fis-1775	86	4	d	d	PROPN
fis-1775	86	5	d2	d2	PROPN
fis-1775	86	6	2	2	NUM
fis-1775	86	7	2	2	NUM
fis-1775	86	8	2(1	2(1	NUM
fis-1775	86	9	)	)	PUNCT
fis-1775	86	10	,	,	PUNCT
fis-1775	86	11	(	(	PUNCT
fis-1775	86	12	1	1	X
fis-1775	86	13	)	)	PUNCT
fis-1775	86	14			NUM
fis-1775	86	15			NUM
fis-1775	86	16			NUM
fis-1775	86	17			NUM
fis-1775	86	18			NUM
fis-1775	86	19			NUM
fis-1775	86	20			NUM
fis-1775	86	21			NUM
fis-1775	86	22			PROPN
fis-1775	86	23			PROPN
fis-1775	86	24			PROPN
fis-1775	86	25			ADV
fis-1775	86	26			PRON
fis-1775	86	27			PROPN
fis-1775	86	28			PROPN
fis-1775	86	29			NUM
fis-1775	86	30			PUNCT
fis-1775	86	31	(	(	PUNCT
fis-1775	86	32	10	10	NUM
fis-1775	86	33	)	)	PUNCT
fis-1775	86	34	p	p	PROPN
fis-1775	86	35	b	b	X
fis-1775	86	36	bm	bm	PROPN
fis-1775	86	37	a	a	DET
fis-1775	86	38	am	be	AUX
fis-1775	86	39	a	a	DET
fis-1775	86	40	b	b	PROPN
fis-1775	86	41	p	p	X
fis-1775	86	42	b	b	X
fis-1775	86	43	bm	bm	PROPN
fis-1775	86	44	a	a	DET
fis-1775	86	45	am	be	AUX
fis-1775	87	1	a	a	DET
fis-1775	87	2	b	b	NOUN
fis-1775	88	1	i	i	NOUN
fis-1775	89	1	d	d	PROPN
fis-1775	90	1	d	d	X
fis-1775	90	2	p	p	X
fis-1775	91	1	i	i	NOUN
fis-1775	91	2	d	d	PROPN
fis-1775	92	1	d	d	X
fis-1775	92	2	p	p	NOUN
fis-1775	92	3	2	2	NUM
fis-1775	92	4	2	2	NUM
fis-1775	92	5	2	2	NUM
fis-1775	92	6	2	2	NUM
fis-1775	92	7	2	2	NUM
fis-1775	92	8	2	2	NUM
fis-1775	92	9	2	2	NUM
fis-1775	92	10	2	2	NUM
fis-1775	92	11	1	1	NUM
fis-1775	92	12	(	(	PUNCT
fis-1775	92	13	)	)	PUNCT
fis-1775	92	14	(	(	PUNCT
fis-1775	92	15	)	)	PUNCT
fis-1775	92	16	or	or	CCONJ
fis-1775	92	17	1	1	NUM
fis-1775	92	18	(	(	PUNCT
fis-1775	92	19	)	)	PUNCT
fis-1775	92	20	(	(	PUNCT
fis-1775	92	21	)	)	PUNCT
fis-1775	92	22			PROPN
fis-1775	92	23			PROPN
fis-1775	92	24			NOUN
fis-1775	92	25			NOUN
fis-1775	92	26			NOUN
fis-1775	92	27			NOUN
fis-1775	92	28			NOUN
fis-1775	92	29			NOUN
fis-1775	92	30			NUM
fis-1775	92	31			NUM
fis-1775	92	32			NUM
fis-1775	92	33			NUM
fis-1775	92	34			NUM
fis-1775	92	35			NUM
fis-1775	92	36			PRON
fis-1775	92	37			ADJ
fis-1775	92	38			PROPN
fis-1775	92	39			NOUN
fis-1775	92	40			VERB
fis-1775	92	41			NOUN
fis-1775	92	42			PROPN
fis-1775	92	43			PROPN
fis-1775	92	44			PROPN
fis-1775	92	45			PROPN
fis-1775	92	46			ADJ
fis-1775	92	47			PROPN
fis-1775	92	48			NOUN
fis-1775	92	49			VERB
fis-1775	92	50			NOUN
fis-1775	92	51			PROPN
fis-1775	92	52			NOUN
fis-1775	92	53			PROPN
fis-1775	92	54			X
fis-1775	92	55			X
fis-1775	92	56	(	(	PUNCT
fis-1775	92	57	11	11	NUM
fis-1775	92	58	)	)	PUNCT
fis-1775	92	59	pi	pi	NOUN
fis-1775	92	60	or	or	CCONJ
fis-1775	92	61	12	12	NUM
fis-1775	92	62			NOUN
fis-1775	92	63			PUNCT
fis-1775	92	64			PROPN
fis-1775	92	65			PROPN
fis-1775	92	66	(	(	PUNCT
fis-1775	92	67	12	12	NUM
fis-1775	92	68	)	)	PUNCT
fis-1775	92	69	figure	figure	NOUN
fis-1775	92	70	3	3	NUM
fis-1775	92	71	:	:	PUNCT
fis-1775	92	72	stress	stress	NOUN
fis-1775	92	73	path	path	NOUN
fis-1775	92	74	of	of	ADP
fis-1775	92	75	a	a	DET
fis-1775	92	76	2d	2d	NUM
fis-1775	92	77	shear	shear	ADJ
fis-1775	92	78	-	-	PUNCT
fis-1775	92	79	shear	shear	NOUN
fis-1775	92	80	load	load	NOUN
fis-1775	92	81	history	history	NOUN
fis-1775	92	82	on	on	ADP
fis-1775	92	83	a	a	DET
fis-1775	92	84	candidate	candidate	NOUN
fis-1775	92	85	plane	plane	NOUN
fis-1775	92	86	(	(	PUNCT
fis-1775	92	87	left	leave	VERB
fis-1775	92	88	)	)	PUNCT
fis-1775	92	89	and	and	CCONJ
fis-1775	92	90	its	its	PRON
fis-1775	92	91	corresponding	corresponding	ADJ
fis-1775	92	92	strain	strain	NOUN
fis-1775	92	93	path	path	NOUN
fis-1775	92	94	(	(	PUNCT
fis-1775	92	95	right	right	NOUN
fis-1775	92	96	)	)	PUNCT
fis-1775	92	97	,	,	PUNCT
fis-1775	92	98	both	both	PRON
fis-1775	92	99	assumed	assume	VERB
fis-1775	92	100	as	as	ADP
fis-1775	92	101	homogeneous	homogeneous	ADJ
fis-1775	92	102	wires	wire	NOUN
fis-1775	92	103	with	with	ADP
fis-1775	92	104	unit	unit	NOUN
fis-1775	92	105	mass	mass	PROPN
fis-1775	92	106	.	.	PUNCT
fis-1775	93	1	for	for	ADP
fis-1775	93	2	a	a	DET
fis-1775	93	3	polygonal	polygonal	ADJ
fis-1775	93	4	path	path	NOUN
fis-1775	93	5	such	such	ADJ
fis-1775	93	6	as	as	ADP
fis-1775	93	7	the	the	DET
fis-1775	93	8	one	one	NUM
fis-1775	93	9	in	in	ADP
fis-1775	93	10	fig	fig	NOUN
fis-1775	93	11	.	.	PUNCT
fis-1775	94	1	4	4	NUM
fis-1775	94	2	,	,	PUNCT
fis-1775	94	3	which	which	PRON
fis-1775	94	4	is	be	AUX
fis-1775	94	5	usually	usually	ADV
fis-1775	94	6	the	the	DET
fis-1775	94	7	case	case	NOUN
fis-1775	94	8	in	in	ADP
fis-1775	94	9	discrete	discrete	ADJ
fis-1775	94	10	computational	computational	ADJ
fis-1775	94	11	implementations	implementation	NOUN
fis-1775	94	12	of	of	ADP
fis-1775	94	13	the	the	DET
fis-1775	94	14	moi	moi	PROPN
fis-1775	94	15	method	method	NOUN
fis-1775	94	16	,	,	PUNCT
fis-1775	94	17	the	the	DET
fis-1775	94	18	above	above	ADJ
fis-1775	94	19	equations	equation	NOUN
fis-1775	94	20	could	could	AUX
fis-1775	94	21	be	be	AUX
fis-1775	94	22	applied	apply	VERB
fis-1775	94	23	by	by	ADP
fis-1775	94	24	changing	change	VERB
fis-1775	94	25	the	the	DET
fis-1775	94	26	integrals	integral	NOUN
fis-1775	94	27	into	into	ADP
fis-1775	94	28	summations	summation	NOUN
fis-1775	94	29	,	,	PUNCT
fis-1775	94	30	and	and	CCONJ
fis-1775	94	31	infinitesimal	infinitesimal	ADJ
fis-1775	94	32	increments	increment	NOUN
fis-1775	94	33	db	db	PROPN
fis-1775	94	34	,	,	PUNCT
fis-1775	94	35	da	da	PROPN
fis-1775	94	36	,	,	PUNCT
fis-1775	94	37	db	db	PROPN
fis-1775	94	38	,	,	PUNCT
fis-1775	94	39	or	or	CCONJ
fis-1775	94	40	da	da	VERB
fis-1775	94	41	into	into	ADP
fis-1775	94	42	finite	finite	ADJ
fis-1775	94	43	bi	bi	NOUN
fis-1775	94	44	,	,	PUNCT
fis-1775	94	45	ai	ai	ADJ
fis-1775	94	46	,	,	PUNCT
fis-1775	94	47	bi	bi	NOUN
fis-1775	94	48	,	,	PUNCT
fis-1775	94	49	or	or	CCONJ
fis-1775	94	50	ai	ai	NOUN
fis-1775	94	51	.	.	PUNCT
fis-1775	95	1	if	if	SCONJ
fis-1775	95	2	each	each	DET
fis-1775	95	3	polygon	polygon	NOUN
fis-1775	95	4	side	side	NOUN
fis-1775	95	5	i	i	PRON
fis-1775	95	6	has	have	VERB
fis-1775	95	7	length	length	PROPN
fis-1775	95	8	bai	bai	PROPN
fis-1775	95	9	ai	ai	PROPN
fis-1775	95	10	bi	bi	PROPN
fis-1775	95	11	2	2	NUM
fis-1775	95	12	2	2	NUM
fis-1775	95	13			NOUN
fis-1775	95	14			NOUN
fis-1775	95	15			PROPN
fis-1775	95	16			NOUN
fis-1775	95	17			ADV
fis-1775	95	18			PUNCT
fis-1775	95	19	or	or	CCONJ
fis-1775	95	20	bai	bai	PROPN
fis-1775	95	21	ai	ai	INTJ
fis-1775	95	22	bi	bi	PROPN
fis-1775	95	23	2	2	NUM
fis-1775	95	24	2	2	NUM
fis-1775	95	25			NUM
fis-1775	95	26			PROPN
fis-1775	96	1			PROPN
fis-1775	96	2			NOUN
fis-1775	96	3			PRON
fis-1775	96	4			PUNCT
fis-1775	96	5	,	,	PUNCT
fis-1775	96	6	centered	center	VERB
fis-1775	96	7	at	at	ADP
fis-1775	96	8	(	(	PUNCT
fis-1775	96	9	bmi	bmi	X
fis-1775	96	10	,	,	PUNCT
fis-1775	96	11	ami	ami	NOUN
fis-1775	96	12	)	)	PUNCT
fis-1775	96	13	or	or	CCONJ
fis-1775	96	14	(	(	PUNCT
fis-1775	96	15	bmi	bmi	PROPN
fis-1775	96	16	,	,	PUNCT
fis-1775	96	17	ami	ami	NOUN
fis-1775	96	18	)	)	PUNCT
fis-1775	96	19	,	,	PUNCT
fis-1775	96	20	and	and	CCONJ
fis-1775	96	21	associated	associate	VERB
fis-1775	96	22	with	with	ADP
fis-1775	96	23	a	a	DET
fis-1775	96	24	mean	mean	ADJ
fis-1775	96	25	normal	normal	ADJ
fis-1775	96	26	mi	mi	NOUN
fis-1775	96	27	or	or	CCONJ
fis-1775	96	28	mi	mi	NOUN
fis-1775	96	29	,	,	PUNCT
fis-1775	96	30	then	then	ADV
fis-1775	96	31	bai	bai	PROPN
fis-1775	96	32	baii	baii	PROPN
fis-1775	96	33	i	i	PRON
fis-1775	96	34	p	p	PROPN
fis-1775	96	35	p	p	X
fis-1775	96	36	,	,	PUNCT
fis-1775	96	37			PROPN
fis-1775	96	38			PROPN
fis-1775	96	39			PROPN
fis-1775	96	40			NOUN
fis-1775	96	41			PROPN
fis-1775	96	42			NOUN
fis-1775	96	43			X
fis-1775	96	44	(	(	PUNCT
fis-1775	96	45	13	13	NUM
fis-1775	96	46	)	)	PUNCT
fis-1775	96	47	bm	bm	PROPN
fis-1775	96	48	bmi	bmi	PROPN
fis-1775	96	49	bai	bai	PROPN
fis-1775	96	50	am	am	PROPN
fis-1775	96	51	ami	ami	PROPN
fis-1775	96	52	baii	baii	PROPN
fis-1775	96	53	i	i	PRON
fis-1775	96	54	p	p	PROPN
fis-1775	96	55	p(1	p(1	PROPN
fis-1775	96	56	)	)	PUNCT
fis-1775	96	57	,	,	PUNCT
fis-1775	96	58	(	(	PUNCT
fis-1775	96	59	1	1	X
fis-1775	96	60	)	)	PUNCT
fis-1775	96	61			NOUN
fis-1775	96	62			NOUN
fis-1775	97	1			NOUN
fis-1775	97	2			NOUN
fis-1775	97	3			NOUN
fis-1775	97	4			NOUN
fis-1775	97	5			VERB
fis-1775	97	6			PROPN
fis-1775	97	7			NUM
fis-1775	97	8			NOUN
fis-1775	97	9			PROPN
fis-1775	97	10			PROPN
fis-1775	97	11			PROPN
fis-1775	97	12			NOUN
fis-1775	97	13			X
fis-1775	97	14	(	(	PUNCT
fis-1775	97	15	14	14	NUM
fis-1775	97	16	)	)	PUNCT
fis-1775	97	17	bm	bm	PROPN
fis-1775	97	18	bmi	bmi	PROPN
fis-1775	97	19	bai	bai	PROPN
fis-1775	97	20	am	am	PROPN
fis-1775	97	21	ami	ami	PROPN
fis-1775	97	22	baii	baii	PROPN
fis-1775	97	23	i	i	PRON
fis-1775	97	24	p	p	PROPN
fis-1775	97	25	p(1	p(1	PROPN
fis-1775	97	26	)	)	PUNCT
fis-1775	97	27	,	,	PUNCT
fis-1775	97	28	(	(	PUNCT
fis-1775	97	29	1	1	X
fis-1775	97	30	)	)	PUNCT
fis-1775	97	31			NUM
fis-1775	97	32			NUM
fis-1775	97	33			NUM
fis-1775	97	34			NUM
fis-1775	97	35			NUM
fis-1775	97	36			NUM
fis-1775	97	37			PROPN
fis-1775	97	38			PROPN
fis-1775	97	39			PROPN
fis-1775	97	40			PUNCT
fis-1775	97	41			PROPN
fis-1775	97	42			PROPN
fis-1775	97	43			PROPN
fis-1775	97	44			NOUN
fis-1775	97	45			X
fis-1775	97	46	(	(	PUNCT
fis-1775	97	47	15	15	NUM
fis-1775	97	48	)	)	PUNCT
fis-1775	97	49	h.	h.	PROPN
fis-1775	97	50	wu	wu	PROPN
fis-1775	97	51	et	et	PROPN
fis-1775	97	52	alii	alii	PROPN
fis-1775	97	53	,	,	PUNCT
fis-1775	97	54	frattura	frattura	PROPN
fis-1775	97	55	ed	ed	PROPN
fis-1775	97	56	integrità	integrità	PROPN
fis-1775	97	57	strutturale	strutturale	PROPN
fis-1775	97	58	,	,	PUNCT
fis-1775	97	59	38	38	NUM
fis-1775	97	60	(	(	PUNCT
fis-1775	97	61	2016	2016	NUM
fis-1775	97	62	)	)	PUNCT
fis-1775	97	63	99	99	NUM
fis-1775	97	64	-	-	SYM
fis-1775	97	65	105	105	NUM
fis-1775	97	66	;	;	PUNCT
fis-1775	97	67	doi	doi	NOUN
fis-1775	97	68	:	:	PUNCT
fis-1775	97	69	10.3221	10.3221	NUM
fis-1775	97	70	/	/	SYM
fis-1775	97	71	igf	igf	PROPN
fis-1775	97	72	-	-	PROPN
fis-1775	97	73	esis.38.13	esis.38.13	PROPN
fis-1775	97	74	104	104	NUM
fis-1775	97	75	m	m	PROPN
fis-1775	97	76	mi	mi	PROPN
fis-1775	97	77	bai	bai	PROPN
fis-1775	97	78	m	m	PROPN
fis-1775	97	79	mi	mi	PROPN
fis-1775	97	80	baii	baii	PROPN
fis-1775	97	81	i	i	PROPN
fis-1775	97	82	p	p	PROPN
fis-1775	97	83	p(1	p(1	PROPN
fis-1775	97	84	)	)	PUNCT
fis-1775	97	85	,	,	PUNCT
fis-1775	97	86	(	(	PUNCT
fis-1775	97	87	1	1	X
fis-1775	97	88	)	)	PUNCT
fis-1775	97	89			NOUN
fis-1775	97	90			NOUN
fis-1775	97	91			PROPN
fis-1775	97	92			NOUN
fis-1775	97	93			PROPN
fis-1775	97	94			PROPN
fis-1775	97	95			NOUN
fis-1775	97	96			VERB
fis-1775	97	97			NOUN
fis-1775	97	98			NOUN
fis-1775	97	99			PROPN
fis-1775	97	100			PROPN
fis-1775	97	101			PUNCT
fis-1775	98	1			PROPN
fis-1775	98	2			PROPN
fis-1775	98	3			PROPN
fis-1775	98	4			NOUN
fis-1775	98	5			X
fis-1775	98	6	(	(	PUNCT
fis-1775	98	7	16	16	NUM
fis-1775	98	8	)	)	PUNCT
fis-1775	98	9	p	p	NOUN
fis-1775	98	10	bai	bai	PROPN
fis-1775	98	11	bmi	bmi	PROPN
fis-1775	98	12	bm	bm	PROPN
fis-1775	98	13	ami	ami	PROPN
fis-1775	98	14	am	am	PROPN
fis-1775	98	15	baii	baii	PROPN
fis-1775	98	16	p	p	PROPN
fis-1775	98	17	bai	bai	PROPN
fis-1775	98	18	bmi	bmi	PROPN
fis-1775	98	19	bm	bm	PROPN
fis-1775	98	20	ami	ami	PROPN
fis-1775	98	21	am	be	AUX
fis-1775	98	22	baii	baii	PROPN
fis-1775	99	1	i	i	PRON
fis-1775	99	2	p	p	X
fis-1775	100	1	i	i	PRON
fis-1775	100	2	p	p	NOUN
fis-1775	100	3	2	2	NUM
fis-1775	100	4	2	2	NUM
fis-1775	100	5	2	2	NUM
fis-1775	100	6	2	2	NUM
fis-1775	100	7	2	2	NUM
fis-1775	100	8	2	2	NUM
fis-1775	100	9	1	1	NUM
fis-1775	100	10	12	12	NUM
fis-1775	100	11	(	(	PUNCT
fis-1775	100	12	)	)	PUNCT
fis-1775	100	13	(	(	PUNCT
fis-1775	100	14	)	)	PUNCT
fis-1775	100	15	or	or	CCONJ
fis-1775	100	16	1	1	NUM
fis-1775	100	17	12	12	NUM
fis-1775	100	18	(	(	PUNCT
fis-1775	100	19	)	)	PUNCT
fis-1775	100	20	(	(	PUNCT
fis-1775	100	21	)	)	PUNCT
fis-1775	100	22			PROPN
fis-1775	100	23			PROPN
fis-1775	101	1			NOUN
fis-1775	101	2			NOUN
fis-1775	101	3			NOUN
fis-1775	101	4			NOUN
fis-1775	101	5			NOUN
fis-1775	101	6			NOUN
fis-1775	101	7			NUM
fis-1775	101	8			NUM
fis-1775	101	9			NUM
fis-1775	101	10			NUM
fis-1775	101	11			NUM
fis-1775	101	12			NUM
fis-1775	101	13			DET
fis-1775	101	14			ADJ
fis-1775	101	15			PROPN
fis-1775	101	16			NOUN
fis-1775	101	17			ADV
fis-1775	101	18			PROPN
fis-1775	101	19			PUNCT
fis-1775	101	20			PROPN
fis-1775	101	21			PROPN
fis-1775	101	22			PROPN
fis-1775	101	23			PROPN
fis-1775	101	24			PROPN
fis-1775	101	25			PROPN
fis-1775	101	26			NOUN
fis-1775	101	27			ADV
fis-1775	101	28			PROPN
fis-1775	101	29			PUNCT
fis-1775	101	30			PROPN
fis-1775	101	31			PROPN
fis-1775	101	32			PROPN
fis-1775	101	33			X
fis-1775	101	34			X
fis-1775	101	35	(	(	PUNCT
fis-1775	101	36	17	17	NUM
fis-1775	101	37	)	)	PUNCT
fis-1775	101	38	which	which	PRON
fis-1775	101	39	are	be	AUX
fis-1775	101	40	calculated	calculate	VERB
fis-1775	101	41	adding	add	VERB
fis-1775	101	42	all	all	DET
fis-1775	101	43	path	path	NOUN
fis-1775	101	44	-	-	PUNCT
fis-1775	101	45	segment	segment	NOUN
fis-1775	101	46	contributions	contribution	NOUN
fis-1775	101	47	of	of	ADP
fis-1775	101	48	a	a	DET
fis-1775	101	49	given	give	VERB
fis-1775	101	50	cycle	cycle	NOUN
fis-1775	101	51	(	(	PUNCT
fis-1775	101	52	or	or	CCONJ
fis-1775	101	53	half	half	ADJ
fis-1775	101	54	-	-	PUNCT
fis-1775	101	55	cycle	cycle	NOUN
fis-1775	101	56	)	)	PUNCT
fis-1775	101	57	,	,	PUNCT
fis-1775	101	58	whose	whose	DET
fis-1775	101	59	path	path	NOUN
fis-1775	101	60	-	-	PUNCT
fis-1775	101	61	equivalent	equivalent	ADJ
fis-1775	101	62	range	range	NOUN
fis-1775	101	63	is	be	AUX
fis-1775	101	64	then	then	ADV
fis-1775	101	65	obtained	obtain	VERB
fis-1775	101	66	from	from	ADP
fis-1775	101	67	eq	eq	PROPN
fis-1775	101	68	.	.	PUNCT
fis-1775	102	1	(	(	PUNCT
fis-1775	102	2	12	12	NUM
fis-1775	102	3	)	)	PUNCT
fis-1775	102	4	.	.	PUNCT
fis-1775	103	1	a	a	DET
fis-1775	103	2	computer	computer	NOUN
fis-1775	103	3	implementation	implementation	NOUN
fis-1775	103	4	of	of	ADP
fis-1775	103	5	the	the	DET
fis-1775	103	6	critical	critical	ADJ
fis-1775	103	7	-	-	PUNCT
fis-1775	103	8	plane	plane	NOUN
fis-1775	103	9	version	version	NOUN
fis-1775	103	10	of	of	ADP
fis-1775	103	11	the	the	DET
fis-1775	103	12	moi	moi	X
fis-1775	103	13	method	method	NOUN
fis-1775	103	14	for	for	ADP
fis-1775	103	15	polygonal	polygonal	ADJ
fis-1775	103	16	paths	path	NOUN
fis-1775	103	17	is	be	AUX
fis-1775	103	18	shown	show	VERB
fis-1775	103	19	in	in	ADP
fis-1775	103	20	the	the	DET
fis-1775	103	21	appendix	appendix	NOUN
fis-1775	103	22	,	,	PUNCT
fis-1775	103	23	based	base	VERB
fis-1775	103	24	on	on	ADP
fis-1775	103	25	the	the	DET
fis-1775	103	26	matlab	matlab	PROPN
fis-1775	103	27	environment	environment	NOUN
fis-1775	103	28	[	[	X
fis-1775	103	29	12	12	NUM
fis-1775	103	30	]	]	PUNCT
fis-1775	103	31	.	.	PUNCT
fis-1775	104	1	further	further	ADJ
fis-1775	104	2	details	detail	NOUN
fis-1775	104	3	about	about	ADP
fis-1775	104	4	such	such	ADJ
fis-1775	104	5	procedures	procedure	NOUN
fis-1775	104	6	can	can	AUX
fis-1775	104	7	be	be	AUX
fis-1775	104	8	found	find	VERB
fis-1775	104	9	in	in	ADP
fis-1775	104	10	[	[	X
fis-1775	104	11	13	13	NUM
fis-1775	104	12	]	]	PUNCT
fis-1775	104	13	.	.	PUNCT
fis-1775	105	1	figure	figure	VERB
fis-1775	105	2	4	4	NUM
fis-1775	105	3	:	:	PUNCT
fis-1775	105	4	polygonal	polygonal	ADJ
fis-1775	105	5	shear	shear	ADJ
fis-1775	105	6	-	-	PUNCT
fis-1775	105	7	shear	shear	NOUN
fis-1775	105	8	stress	stress	NOUN
fis-1775	105	9	(	(	PUNCT
fis-1775	105	10	left	left	ADJ
fis-1775	105	11	)	)	PUNCT
fis-1775	105	12	or	or	CCONJ
fis-1775	105	13	strain	strain	NOUN
fis-1775	105	14	(	(	PUNCT
fis-1775	105	15	right	right	ADJ
fis-1775	105	16	)	)	PUNCT
fis-1775	105	17	paths	path	NOUN
fis-1775	105	18	on	on	ADP
fis-1775	105	19	a	a	DET
fis-1775	105	20	candidate	candidate	NOUN
fis-1775	105	21	plane	plane	NOUN
fis-1775	105	22	.	.	PUNCT
fis-1775	106	1	conclusions	conclusion	NOUN
fis-1775	106	2	n	n	CCONJ
fis-1775	106	3	this	this	DET
fis-1775	106	4	work	work	NOUN
fis-1775	106	5	,	,	PUNCT
fis-1775	106	6	a	a	DET
fis-1775	106	7	critical	critical	ADJ
fis-1775	106	8	-	-	PUNCT
fis-1775	106	9	plane	plane	NOUN
fis-1775	106	10	version	version	NOUN
fis-1775	106	11	of	of	ADP
fis-1775	106	12	the	the	DET
fis-1775	106	13	moi	moi	X
fis-1775	106	14	method	method	NOUN
fis-1775	106	15	has	have	AUX
fis-1775	106	16	been	be	AUX
fis-1775	106	17	presented	present	VERB
fis-1775	106	18	to	to	PART
fis-1775	106	19	allow	allow	VERB
fis-1775	106	20	the	the	DET
fis-1775	106	21	calculation	calculation	NOUN
fis-1775	106	22	of	of	ADP
fis-1775	106	23	pathequivalent	pathequivalent	NOUN
fis-1775	106	24	shear	shear	NOUN
fis-1775	106	25	ranges	range	VERB
fis-1775	106	26	for	for	ADP
fis-1775	106	27	projected	project	VERB
fis-1775	106	28	shear	shear	ADJ
fis-1775	106	29	-	-	PUNCT
fis-1775	106	30	shear	shear	NOUN
fis-1775	106	31	stress	stress	NOUN
fis-1775	106	32	or	or	CCONJ
fis-1775	106	33	strain	strain	VERB
fis-1775	106	34	histories	history	NOUN
fis-1775	106	35	on	on	ADP
fis-1775	106	36	candidate	candidate	NOUN
fis-1775	106	37	planes	plane	NOUN
fis-1775	106	38	,	,	PUNCT
fis-1775	106	39	in	in	ADP
fis-1775	106	40	multiaxial	multiaxial	ADJ
fis-1775	106	41	fatigue	fatigue	NOUN
fis-1775	106	42	problems	problem	NOUN
fis-1775	106	43	that	that	PRON
fis-1775	106	44	must	must	AUX
fis-1775	106	45	be	be	AUX
fis-1775	106	46	treated	treat	VERB
fis-1775	106	47	by	by	ADP
fis-1775	106	48	critical	critical	ADJ
fis-1775	106	49	-	-	PUNCT
fis-1775	106	50	plane	plane	NOUN
fis-1775	106	51	approaches	approach	NOUN
fis-1775	106	52	.	.	PUNCT
fis-1775	107	1	the	the	DET
fis-1775	107	2	combination	combination	NOUN
fis-1775	107	3	of	of	ADP
fis-1775	107	4	both	both	CCONJ
fis-1775	107	5	out	out	ADP
fis-1775	107	6	-	-	PUNCT
fis-1775	107	7	of	of	ADP
fis-1775	107	8	-	-	PUNCT
fis-1775	107	9	plane	plane	NOUN
fis-1775	107	10	(	(	PUNCT
fis-1775	107	11	b	b	ADJ
fis-1775	107	12	or	or	CCONJ
fis-1775	107	13	b	b	VERB
fis-1775	107	14	)	)	PUNCT
fis-1775	107	15	and	and	CCONJ
fis-1775	107	16	inplane	inplane	NOUN
fis-1775	107	17	(	(	PUNCT
fis-1775	107	18	a	a	NOUN
fis-1775	107	19	or	or	CCONJ
fis-1775	107	20	a	a	NOUN
fis-1775	107	21	)	)	PUNCT
fis-1775	107	22	shear	shear	NOUN
fis-1775	107	23	components	component	NOUN
fis-1775	107	24	into	into	ADP
fis-1775	107	25	an	an	DET
fis-1775	107	26	equivalent	equivalent	ADJ
fis-1775	107	27	range	range	NOUN
fis-1775	107	28	(	(	PUNCT
fis-1775	107	29			PUNCT
fis-1775	107	30	or	or	CCONJ
fis-1775	107	31			PRON
fis-1775	107	32	)	)	PUNCT
fis-1775	107	33	is	be	AUX
fis-1775	107	34	fundamental	fundamental	ADJ
fis-1775	107	35	to	to	PART
fis-1775	107	36	correctly	correctly	ADV
fis-1775	107	37	account	account	VERB
fis-1775	107	38	for	for	ADP
fis-1775	107	39	shear	shear	NOUN
fis-1775	107	40	damage	damage	NOUN
fis-1775	107	41	on	on	ADP
fis-1775	107	42	b45(s	b45(s	ADJ
fis-1775	107	43	)	)	PUNCT
fis-1775	107	44	candidate	candidate	NOUN
fis-1775	107	45	planes	plane	NOUN
fis-1775	107	46	.	.	PUNCT
fis-1775	108	1	the	the	DET
fis-1775	108	2	moi	moi	PROPN
fis-1775	108	3	method	method	NOUN
fis-1775	108	4	is	be	AUX
fis-1775	108	5	a	a	DET
fis-1775	108	6	computationally	computationally	ADV
fis-1775	108	7	-	-	PUNCT
fis-1775	108	8	inexpensive	inexpensive	ADJ
fis-1775	108	9	and	and	CCONJ
fis-1775	108	10	robust	robust	ADJ
fis-1775	108	11	procedure	procedure	NOUN
fis-1775	108	12	to	to	PART
fis-1775	108	13	calculate	calculate	VERB
fis-1775	108	14	the	the	DET
fis-1775	108	15	initiation	initiation	NOUN
fis-1775	108	16	lives	life	NOUN
fis-1775	108	17	of	of	ADP
fis-1775	108	18	microcracks	microcrack	NOUN
fis-1775	108	19	under	under	ADP
fis-1775	108	20	combined	combine	VERB
fis-1775	108	21	in	in	ADP
fis-1775	108	22	-	-	PUNCT
fis-1775	108	23	plane	plane	NOUN
fis-1775	108	24	and	and	CCONJ
fis-1775	108	25	out	out	ADP
fis-1775	108	26	-	-	PUNCT
fis-1775	108	27	of	of	ADP
fis-1775	108	28	-	-	PUNCT
fis-1775	108	29	plane	plane	NOUN
fis-1775	108	30	shear	shear	NOUN
fis-1775	108	31	loads	load	NOUN
fis-1775	108	32	.	.	PUNCT
fis-1775	109	1	the	the	DET
fis-1775	109	2	moi	moi	PROPN
fis-1775	109	3	method	method	NOUN
fis-1775	109	4	can	can	AUX
fis-1775	109	5	estimate	estimate	VERB
fis-1775	109	6	both	both	DET
fis-1775	109	7	path	path	NOUN
fis-1775	109	8	-	-	PUNCT
fis-1775	109	9	equivalent	equivalent	ADJ
fis-1775	109	10	ranges	range	NOUN
fis-1775	109	11	and	and	CCONJ
fis-1775	109	12	mean	mean	VERB
fis-1775	109	13	components	component	NOUN
fis-1775	109	14	with	with	ADP
fis-1775	109	15	a	a	DET
fis-1775	109	16	much	much	ADV
fis-1775	109	17	better	well	ADJ
fis-1775	109	18	coherence	coherence	NOUN
fis-1775	109	19	than	than	ADP
fis-1775	109	20	any	any	DET
fis-1775	109	21	convex	convex	NOUN
fis-1775	109	22	-	-	PUNCT
fis-1775	109	23	enclosure	enclosure	NOUN
fis-1775	109	24	method	method	NOUN
fis-1775	109	25	.	.	PUNCT
fis-1775	110	1	moreover	moreover	ADV
fis-1775	110	2	,	,	PUNCT
fis-1775	110	3	since	since	SCONJ
fis-1775	110	4	it	it	PRON
fis-1775	110	5	accounts	account	VERB
fis-1775	110	6	for	for	ADP
fis-1775	110	7	the	the	DET
fis-1775	110	8	contribution	contribution	NOUN
fis-1775	110	9	of	of	ADP
fis-1775	110	10	every	every	DET
fis-1775	110	11	single	single	ADJ
fis-1775	110	12	segment	segment	NOUN
fis-1775	110	13	of	of	ADP
fis-1775	110	14	the	the	DET
fis-1775	110	15	path	path	NOUN
fis-1775	110	16	,	,	PUNCT
fis-1775	110	17	the	the	DET
fis-1775	110	18	moi	moi	X
fis-1775	110	19	method	method	NOUN
fis-1775	110	20	can	can	AUX
fis-1775	110	21	deal	deal	VERB
fis-1775	110	22	with	with	ADP
fis-1775	110	23	arbitrarily	arbitrarily	ADV
fis-1775	110	24	shaped	shape	VERB
fis-1775	110	25	multiaxial	multiaxial	ADJ
fis-1775	110	26	load	load	NOUN
fis-1775	110	27	histories	history	NOUN
fis-1775	110	28	without	without	ADP
fis-1775	110	29	losing	lose	VERB
fis-1775	110	30	information	information	NOUN
fis-1775	110	31	about	about	ADP
fis-1775	110	32	such	such	ADJ
fis-1775	110	33	shapes	shape	NOUN
fis-1775	110	34	.	.	PUNCT
fis-1775	111	1	references	reference	NOUN
fis-1775	111	2	[	[	X
fis-1775	111	3	1	1	NUM
fis-1775	111	4	]	]	X
fis-1775	111	5	bannantine	bannantine	NOUN
fis-1775	111	6	,	,	PUNCT
fis-1775	111	7	j.a	j.a	PROPN
fis-1775	111	8	.	.	PROPN
fis-1775	111	9	,	,	PUNCT
fis-1775	111	10	socie	socie	PROPN
fis-1775	111	11	,	,	PUNCT
fis-1775	111	12	d.f	d.f	PROPN
fis-1775	111	13	.	.	PROPN
fis-1775	111	14	,	,	PUNCT
fis-1775	111	15	a	a	DET
fis-1775	111	16	variable	variable	ADJ
fis-1775	111	17	amplitude	amplitude	NOUN
fis-1775	111	18	multiaxial	multiaxial	ADJ
fis-1775	111	19	fatigue	fatigue	NOUN
fis-1775	111	20	life	life	NOUN
fis-1775	111	21	prediction	prediction	NOUN
fis-1775	111	22	method	method	NOUN
fis-1775	111	23	,	,	PUNCT
fis-1775	111	24	in	in	ADP
fis-1775	111	25	:	:	PUNCT
fis-1775	111	26	k.f	k.f	PROPN
fis-1775	111	27	.	.	PROPN
fis-1775	111	28	kussmaul	kussmaul	PROPN
fis-1775	111	29	,	,	PUNCT
fis-1775	111	30	d.l	d.l	PROPN
fis-1775	111	31	.	.	PROPN
fis-1775	111	32	mcdiarmid	mcdiarmid	PROPN
fis-1775	111	33	,	,	PUNCT
fis-1775	111	34	d.f	d.f	PROPN
fis-1775	111	35	.	.	PROPN
fis-1775	111	36	socie	socie	PROPN
fis-1775	111	37	(	(	PUNCT
fis-1775	111	38	eds	ed	NOUN
fis-1775	111	39	.	.	PUNCT
fis-1775	111	40	)	)	PUNCT
fis-1775	111	41	,	,	PUNCT
fis-1775	111	42	fatigue	fatigue	NOUN
fis-1775	111	43	under	under	ADP
fis-1775	111	44	biaxial	biaxial	ADJ
fis-1775	111	45	and	and	CCONJ
fis-1775	111	46	multiaxial	multiaxial	ADJ
fis-1775	111	47	loading	loading	NOUN
fis-1775	111	48	,	,	PUNCT
fis-1775	111	49	esis	esis	NOUN
fis-1775	111	50	publication	publication	NOUN
fis-1775	111	51	10	10	NUM
fis-1775	111	52	,	,	PUNCT
fis-1775	111	53	london	london	PROPN
fis-1775	111	54	,	,	PUNCT
fis-1775	111	55	(	(	PUNCT
fis-1775	111	56	1991	1991	NUM
fis-1775	111	57	)	)	PUNCT
fis-1775	111	58	35	35	NUM
fis-1775	111	59	-	-	SYM
fis-1775	111	60	51	51	NUM
fis-1775	111	61	.	.	PUNCT
fis-1775	112	1	[	[	X
fis-1775	112	2	2	2	NUM
fis-1775	112	3	]	]	PUNCT
fis-1775	112	4	meggiolaro	meggiolaro	NOUN
fis-1775	112	5	,	,	PUNCT
fis-1775	112	6	m.a	m.a	PROPN
fis-1775	112	7	.	.	PROPN
fis-1775	112	8	,	,	PUNCT
fis-1775	112	9	castro	castro	PROPN
fis-1775	112	10	,	,	PUNCT
fis-1775	112	11	j.t.p	j.t.p	PROPN
fis-1775	112	12	.	.	PROPN
fis-1775	112	13	,	,	PUNCT
fis-1775	112	14	an	an	DET
fis-1775	112	15	improved	improve	VERB
fis-1775	112	16	multiaxial	multiaxial	ADJ
fis-1775	112	17	rainflow	rainflow	NOUN
fis-1775	112	18	algorithm	algorithm	NOUN
fis-1775	112	19	for	for	ADP
fis-1775	112	20	non	non	ADJ
fis-1775	112	21	-	-	ADJ
fis-1775	112	22	proportional	proportional	ADJ
fis-1775	112	23	stress	stress	NOUN
fis-1775	112	24	or	or	CCONJ
fis-1775	112	25	strain	strain	NOUN
fis-1775	112	26	histories	history	NOUN
fis-1775	112	27	–	–	PUNCT
fis-1775	112	28	part	part	NOUN
fis-1775	112	29	ii	ii	PROPN
fis-1775	112	30	:	:	PUNCT
fis-1775	112	31	the	the	DET
fis-1775	112	32	modified	modified	ADJ
fis-1775	112	33	wang	wang	PROPN
fis-1775	112	34	–	–	PUNCT
fis-1775	112	35	brown	brown	ADJ
fis-1775	112	36	method	method	NOUN
fis-1775	112	37	,	,	PUNCT
fis-1775	112	38	int	int	NOUN
fis-1775	112	39	.	.	PUNCT
fis-1775	113	1	j.	j.	PROPN
fis-1775	113	2	fatigue	fatigue	PROPN
fis-1775	113	3	,	,	PUNCT
fis-1775	113	4	42	42	NUM
fis-1775	113	5	(	(	PUNCT
fis-1775	113	6	2012	2012	NUM
fis-1775	113	7	)	)	PUNCT
fis-1775	113	8	194	194	NUM
fis-1775	113	9	-	-	SYM
fis-1775	113	10	206	206	NUM
fis-1775	113	11	.	.	PUNCT
fis-1775	114	1	i	i	PRON
fis-1775	114	2	h.	h.	PROPN
fis-1775	114	3	wu	wu	PROPN
fis-1775	114	4	et	et	PROPN
fis-1775	114	5	alii	alii	PROPN
fis-1775	114	6	,	,	PUNCT
fis-1775	114	7	frattura	frattura	PROPN
fis-1775	114	8	ed	ed	PROPN
fis-1775	114	9	integrità	integrità	PROPN
fis-1775	114	10	strutturale	strutturale	PROPN
fis-1775	114	11	,	,	PUNCT
fis-1775	114	12	38	38	NUM
fis-1775	114	13	(	(	PUNCT
fis-1775	114	14	2016	2016	NUM
fis-1775	114	15	)	)	PUNCT
fis-1775	114	16	99	99	NUM
fis-1775	114	17	-	-	SYM
fis-1775	114	18	105	105	NUM
fis-1775	114	19	;	;	PUNCT
fis-1775	114	20	doi	doi	NOUN
fis-1775	114	21	:	:	PUNCT
fis-1775	114	22	10.3221	10.3221	NUM
fis-1775	114	23	/	/	SYM
fis-1775	114	24	igf	igf	PROPN
fis-1775	114	25	-	-	PROPN
fis-1775	114	26	esis.38.13	esis.38.13	PROPN
fis-1775	114	27	105	105	NUM
fis-1775	115	1	[	[	X
fis-1775	115	2	3	3	NUM
fis-1775	115	3	]	]	X
fis-1775	115	4	castro	castro	X
fis-1775	115	5	,	,	PUNCT
fis-1775	115	6	f.c	f.c	PROPN
fis-1775	115	7	.	.	PROPN
fis-1775	115	8	,	,	PUNCT
fis-1775	115	9	araújo	araújo	PROPN
fis-1775	115	10	,	,	PUNCT
fis-1775	115	11	j.a	j.a	PROPN
fis-1775	115	12	.	.	PROPN
fis-1775	115	13	,	,	PUNCT
fis-1775	115	14	mamiya	mamiya	PROPN
fis-1775	115	15	,	,	PUNCT
fis-1775	115	16	e.n	e.n	PROPN
fis-1775	115	17	.	.	PROPN
fis-1775	115	18	,	,	PUNCT
fis-1775	115	19	pinheiro	pinheiro	PROPN
fis-1775	115	20	,	,	PUNCT
fis-1775	115	21	p.a	p.a	PROPN
fis-1775	115	22	.	.	PROPN
fis-1775	115	23	,	,	PUNCT
fis-1775	115	24	combined	combine	VERB
fis-1775	115	25	resolved	resolve	VERB
fis-1775	115	26	shear	shear	NOUN
fis-1775	115	27	stresses	stress	NOUN
fis-1775	115	28	as	as	ADP
fis-1775	115	29	an	an	DET
fis-1775	115	30	alternative	alternative	NOUN
fis-1775	115	31	to	to	ADP
fis-1775	115	32	enclosing	enclose	VERB
fis-1775	115	33	geometrical	geometrical	ADJ
fis-1775	115	34	objects	object	NOUN
fis-1775	115	35	as	as	ADP
fis-1775	115	36	a	a	DET
fis-1775	115	37	measure	measure	NOUN
fis-1775	115	38	of	of	ADP
fis-1775	115	39	shear	shear	NOUN
fis-1775	115	40	stress	stress	NOUN
fis-1775	115	41	amplitude	amplitude	NOUN
fis-1775	115	42	in	in	ADP
fis-1775	115	43	critical	critical	ADJ
fis-1775	115	44	plane	plane	NOUN
fis-1775	115	45	approaches	approach	NOUN
fis-1775	115	46	,	,	PUNCT
fis-1775	115	47	int	int	NOUN
fis-1775	115	48	.	.	PUNCT
fis-1775	116	1	j.	j.	PROPN
fis-1775	116	2	fatigue	fatigue	PROPN
fis-1775	116	3	,	,	PUNCT
fis-1775	116	4	66	66	NUM
fis-1775	116	5	(	(	PUNCT
fis-1775	116	6	2014	2014	NUM
fis-1775	116	7	)	)	PUNCT
fis-1775	116	8	161	161	NUM
fis-1775	116	9	-	-	SYM
fis-1775	116	10	167	167	NUM
fis-1775	116	11	.	.	PUNCT
fis-1775	117	1	[	[	X
fis-1775	117	2	4	4	NUM
fis-1775	117	3	]	]	X
fis-1775	117	4	dang	dang	PROPN
fis-1775	117	5	van	van	PROPN
fis-1775	117	6	,	,	PUNCT
fis-1775	117	7	k.	k.	PROPN
fis-1775	117	8	,	,	PUNCT
fis-1775	117	9	griveau	griveau	PROPN
fis-1775	117	10	,	,	PUNCT
fis-1775	117	11	b.	b.	PROPN
fis-1775	117	12	,	,	PUNCT
fis-1775	117	13	message	message	NOUN
fis-1775	117	14	,	,	PUNCT
fis-1775	117	15	o.	o.	PROPN
fis-1775	117	16	,	,	PUNCT
fis-1775	117	17	on	on	ADP
fis-1775	117	18	a	a	DET
fis-1775	117	19	new	new	ADJ
fis-1775	117	20	multiaxial	multiaxial	ADJ
fis-1775	117	21	fatigue	fatigue	NOUN
fis-1775	117	22	limit	limit	NOUN
fis-1775	117	23	criterion	criterion	NOUN
fis-1775	117	24	:	:	PUNCT
fis-1775	117	25	theory	theory	NOUN
fis-1775	117	26	and	and	CCONJ
fis-1775	117	27	application	application	NOUN
fis-1775	117	28	,	,	PUNCT
fis-1775	117	29	in	in	ADP
fis-1775	117	30	:	:	PUNCT
fis-1775	117	31	m.	m.	PROPN
fis-1775	117	32	w.	w.	PROPN
fis-1775	117	33	brown	brown	PROPN
fis-1775	117	34	,	,	PUNCT
fis-1775	117	35	k.	k.	PROPN
fis-1775	117	36	j.	j.	PROPN
fis-1775	117	37	miller	miller	PROPN
fis-1775	117	38	(	(	PUNCT
fis-1775	117	39	eds	eds	PROPN
fis-1775	117	40	.	.	PUNCT
fis-1775	117	41	)	)	PUNCT
fis-1775	117	42	,	,	PUNCT
fis-1775	117	43	biaxial	biaxial	NOUN
fis-1775	117	44	and	and	CCONJ
fis-1775	117	45	multiaxial	multiaxial	ADJ
fis-1775	117	46	fatigue	fatigue	NOUN
fis-1775	117	47	egf3	egf3	PROPN
fis-1775	117	48	,	,	PUNCT
fis-1775	117	49	mechanical	mechanical	ADJ
fis-1775	117	50	engineering	engineering	NOUN
fis-1775	117	51	publications	publication	NOUN
fis-1775	117	52	,	,	PUNCT
fis-1775	117	53	london	london	PROPN
fis-1775	117	54	,	,	PUNCT
fis-1775	117	55	(	(	PUNCT
fis-1775	117	56	1989	1989	NUM
fis-1775	117	57	)	)	PUNCT
fis-1775	117	58	479	479	NUM
fis-1775	117	59	-	-	SYM
fis-1775	117	60	496	496	NUM
fis-1775	117	61	.	.	PUNCT
fis-1775	118	1	[	[	X
fis-1775	118	2	5	5	NUM
fis-1775	118	3	]	]	SYM
fis-1775	118	4	li	li	PROPN
fis-1775	118	5	,	,	PUNCT
fis-1775	118	6	b.	b.	PROPN
fis-1775	118	7	,	,	PUNCT
fis-1775	118	8	santos	santos	PROPN
fis-1775	118	9	,	,	PUNCT
fis-1775	118	10	j.l.t	j.l.t	NOUN
fis-1775	118	11	.	.	PUNCT
fis-1775	118	12	,	,	PUNCT
fis-1775	118	13	freitas	freitas	PROPN
fis-1775	118	14	,	,	PUNCT
fis-1775	118	15	m.	m.	NOUN
fis-1775	118	16	,	,	PUNCT
fis-1775	118	17	a	a	DET
fis-1775	118	18	unified	unified	ADJ
fis-1775	118	19	numerical	numerical	ADJ
fis-1775	118	20	approach	approach	NOUN
fis-1775	118	21	for	for	ADP
fis-1775	118	22	multiaxial	multiaxial	ADJ
fis-1775	118	23	fatigue	fatigue	NOUN
fis-1775	118	24	limit	limit	NOUN
fis-1775	118	25	evaluation	evaluation	NOUN
fis-1775	118	26	,	,	PUNCT
fis-1775	118	27	mech	mech	NOUN
fis-1775	118	28	.	.	PUNCT
fis-1775	118	29	struct	struct	NOUN
fis-1775	118	30	.	.	PUNCT
fis-1775	119	1	mach	mach	PROPN
fis-1775	119	2	.	.	PUNCT
fis-1775	119	3	,	,	PUNCT
fis-1775	119	4	28	28	NUM
fis-1775	119	5	(	(	PUNCT
fis-1775	119	6	2000	2000	NUM
fis-1775	119	7	)	)	PUNCT
fis-1775	119	8	85	85	NUM
fis-1775	119	9	-	-	SYM
fis-1775	119	10	103	103	NUM
fis-1775	119	11	.	.	PUNCT
fis-1775	120	1	[	[	X
fis-1775	120	2	6	6	NUM
fis-1775	120	3	]	]	PUNCT
fis-1775	120	4	zouain	zouain	NOUN
fis-1775	120	5	,	,	PUNCT
fis-1775	120	6	n.	n.	NOUN
fis-1775	120	7	,	,	PUNCT
fis-1775	120	8	mamiya	mamiya	PROPN
fis-1775	120	9	,	,	PUNCT
fis-1775	120	10	e.n	e.n	PROPN
fis-1775	120	11	.	.	PROPN
fis-1775	120	12	,	,	PUNCT
fis-1775	120	13	comes	come	VERB
fis-1775	120	14	,	,	PUNCT
fis-1775	120	15	f.	f.	PROPN
fis-1775	120	16	,	,	PUNCT
fis-1775	120	17	using	use	VERB
fis-1775	120	18	enclosing	enclose	VERB
fis-1775	120	19	ellipsoids	ellipsoid	NOUN
fis-1775	120	20	in	in	ADP
fis-1775	120	21	multiaxial	multiaxial	ADJ
fis-1775	120	22	fatigue	fatigue	NOUN
fis-1775	120	23	strength	strength	NOUN
fis-1775	120	24	criteria	criterion	NOUN
fis-1775	120	25	,	,	PUNCT
fis-1775	120	26	european	european	PROPN
fis-1775	120	27	j.	j.	PROPN
fis-1775	120	28	mech.a	mech.a	PROPN
fis-1775	120	29	/	/	SYM
fis-1775	120	30	solids	solid	NOUN
fis-1775	120	31	,	,	PUNCT
fis-1775	120	32	25	25	NUM
fis-1775	120	33	(	(	PUNCT
fis-1775	120	34	2006	2006	NUM
fis-1775	120	35	)	)	PUNCT
fis-1775	120	36	51	51	NUM
fis-1775	120	37	-	-	SYM
fis-1775	120	38	71	71	NUM
fis-1775	120	39	.	.	PUNCT
fis-1775	121	1	[	[	X
fis-1775	121	2	7	7	NUM
fis-1775	121	3	]	]	X
fis-1775	121	4	araújo	araújo	NOUN
fis-1775	121	5	,	,	PUNCT
fis-1775	121	6	j.a	j.a	PROPN
fis-1775	121	7	.	.	PROPN
fis-1775	121	8	,	,	PUNCT
fis-1775	121	9	dantas	dantas	PROPN
fis-1775	121	10	,	,	PUNCT
fis-1775	121	11	a.p	a.p	PROPN
fis-1775	121	12	.	.	PROPN
fis-1775	121	13	,	,	PUNCT
fis-1775	121	14	castro	castro	PROPN
fis-1775	121	15	,	,	PUNCT
fis-1775	121	16	f.c	f.c	PROPN
fis-1775	121	17	.	.	PROPN
fis-1775	121	18	,	,	PUNCT
fis-1775	121	19	mamiya	mamiya	PROPN
fis-1775	121	20	,	,	PUNCT
fis-1775	121	21	e.n	e.n	PROPN
fis-1775	121	22	.	.	PROPN
fis-1775	121	23	,	,	PUNCT
fis-1775	121	24	ferreira	ferreira	PROPN
fis-1775	121	25	,	,	PUNCT
fis-1775	121	26	j.l.a	j.l.a	PROPN
fis-1775	121	27	.	.	PROPN
fis-1775	121	28	,	,	PUNCT
fis-1775	121	29	on	on	ADP
fis-1775	121	30	the	the	DET
fis-1775	121	31	characterization	characterization	NOUN
fis-1775	121	32	of	of	ADP
fis-1775	121	33	the	the	DET
fis-1775	121	34	critical	critical	ADJ
fis-1775	121	35	plane	plane	NOUN
fis-1775	121	36	with	with	ADP
fis-1775	121	37	a	a	DET
fis-1775	121	38	simple	simple	ADJ
fis-1775	121	39	and	and	CCONJ
fis-1775	121	40	fast	fast	ADJ
fis-1775	121	41	alternative	alternative	ADJ
fis-1775	121	42	measure	measure	NOUN
fis-1775	121	43	of	of	ADP
fis-1775	121	44	the	the	DET
fis-1775	121	45	shear	shear	NOUN
fis-1775	121	46	stress	stress	NOUN
fis-1775	121	47	amplitude	amplitude	NOUN
fis-1775	121	48	in	in	ADP
fis-1775	121	49	multiaxial	multiaxial	ADJ
fis-1775	121	50	fatigue	fatigue	NOUN
fis-1775	121	51	,	,	PUNCT
fis-1775	121	52	int	int	NOUN
fis-1775	121	53	.	.	PUNCT
fis-1775	122	1	j.	j.	PROPN
fis-1775	122	2	fatigue	fatigue	PROPN
fis-1775	122	3	,	,	PUNCT
fis-1775	122	4	33	33	NUM
fis-1775	122	5	(	(	PUNCT
fis-1775	122	6	2011	2011	NUM
fis-1775	122	7	)	)	PUNCT
fis-1775	122	8	1092	1092	NUM
fis-1775	122	9	-	-	SYM
fis-1775	122	10	1100	1100	NUM
fis-1775	122	11	.	.	PUNCT
fis-1775	123	1	[	[	X
fis-1775	123	2	8	8	NUM
fis-1775	123	3	]	]	X
fis-1775	123	4	meggiolaro	meggiolaro	NOUN
fis-1775	123	5	,	,	PUNCT
fis-1775	123	6	m.a	m.a	PROPN
fis-1775	123	7	.	.	PROPN
fis-1775	123	8	,	,	PUNCT
fis-1775	123	9	castro	castro	PROPN
fis-1775	123	10	,	,	PUNCT
fis-1775	123	11	j.t.p	j.t.p	PROPN
fis-1775	123	12	.	.	PROPN
fis-1775	123	13	,	,	PUNCT
fis-1775	123	14	an	an	DET
fis-1775	123	15	improved	improve	VERB
fis-1775	123	16	multiaxial	multiaxial	ADJ
fis-1775	123	17	rainflow	rainflow	NOUN
fis-1775	123	18	algorithm	algorithm	NOUN
fis-1775	123	19	for	for	ADP
fis-1775	123	20	non	non	ADJ
fis-1775	123	21	-	-	ADJ
fis-1775	123	22	proportional	proportional	ADJ
fis-1775	123	23	stress	stress	NOUN
fis-1775	123	24	or	or	CCONJ
fis-1775	123	25	strain	strain	NOUN
fis-1775	123	26	histories	history	NOUN
fis-1775	123	27	–	–	PUNCT
fis-1775	123	28	part	part	NOUN
fis-1775	123	29	i	i	PRON
fis-1775	123	30	:	:	PUNCT
fis-1775	123	31	enclosing	enclose	VERB
fis-1775	123	32	surface	surface	NOUN
fis-1775	123	33	methods	method	NOUN
fis-1775	123	34	,	,	PUNCT
fis-1775	123	35	int	int	NOUN
fis-1775	123	36	.	.	PUNCT
fis-1775	124	1	j.	j.	PROPN
fis-1775	124	2	fatigue	fatigue	PROPN
fis-1775	124	3	,	,	PUNCT
fis-1775	124	4	42	42	NUM
fis-1775	124	5	(	(	PUNCT
fis-1775	124	6	2012	2012	NUM
fis-1775	124	7	)	)	PUNCT
fis-1775	124	8	,	,	PUNCT
fis-1775	124	9	217	217	NUM
fis-1775	124	10	-	-	SYM
fis-1775	124	11	226	226	NUM
fis-1775	124	12	.	.	PUNCT
fis-1775	125	1	[	[	X
fis-1775	125	2	9	9	NUM
fis-1775	125	3	]	]	X
fis-1775	125	4	meggiolaro	meggiolaro	NOUN
fis-1775	125	5	,	,	PUNCT
fis-1775	125	6	m.a	m.a	PROPN
fis-1775	125	7	.	.	PROPN
fis-1775	125	8	,	,	PUNCT
fis-1775	125	9	castro	castro	PROPN
fis-1775	125	10	,	,	PUNCT
fis-1775	125	11	j.t.p	j.t.p	PROPN
fis-1775	125	12	.	.	PROPN
fis-1775	125	13	,	,	PUNCT
fis-1775	125	14	prediction	prediction	NOUN
fis-1775	125	15	of	of	ADP
fis-1775	125	16	non	non	ADJ
fis-1775	125	17	-	-	ADJ
fis-1775	125	18	proportionality	proportionality	ADJ
fis-1775	125	19	factors	factor	NOUN
fis-1775	125	20	of	of	ADP
fis-1775	125	21	multiaxial	multiaxial	ADJ
fis-1775	125	22	histories	history	NOUN
fis-1775	125	23	using	use	VERB
fis-1775	125	24	the	the	DET
fis-1775	125	25	moment	moment	NOUN
fis-1775	125	26	of	of	ADP
fis-1775	125	27	inertia	inertia	NOUN
fis-1775	125	28	method	method	NOUN
fis-1775	125	29	,	,	PUNCT
fis-1775	125	30	int	int	NOUN
fis-1775	125	31	.	.	PUNCT
fis-1775	126	1	j.	j.	PROPN
fis-1775	126	2	fatigue	fatigue	PROPN
fis-1775	126	3	61	61	NUM
fis-1775	126	4	,	,	PUNCT
fis-1775	126	5	(	(	PUNCT
fis-1775	126	6	2014	2014	NUM
fis-1775	126	7	)	)	PUNCT
fis-1775	126	8	151	151	NUM
fis-1775	126	9	-	-	SYM
fis-1775	126	10	159	159	NUM
fis-1775	126	11	.	.	PUNCT
fis-1775	127	1	[	[	X
fis-1775	127	2	10	10	NUM
fis-1775	127	3	]	]	X
fis-1775	127	4	meggiolaro	meggiolaro	NOUN
fis-1775	127	5	,	,	PUNCT
fis-1775	127	6	m.a	m.a	PROPN
fis-1775	127	7	.	.	PROPN
fis-1775	127	8	,	,	PUNCT
fis-1775	127	9	castro	castro	PROPN
fis-1775	127	10	,	,	PUNCT
fis-1775	127	11	j.t.p	j.t.p	PROPN
fis-1775	127	12	.	.	PROPN
fis-1775	127	13	,	,	PUNCT
fis-1775	127	14	the	the	DET
fis-1775	127	15	moment	moment	NOUN
fis-1775	127	16	of	of	ADP
fis-1775	127	17	inertia	inertia	NOUN
fis-1775	127	18	method	method	NOUN
fis-1775	127	19	to	to	PART
fis-1775	127	20	calculate	calculate	VERB
fis-1775	127	21	equivalent	equivalent	ADJ
fis-1775	127	22	ranges	range	NOUN
fis-1775	127	23	in	in	ADP
fis-1775	127	24	non	non	ADJ
fis-1775	127	25	-	-	ADJ
fis-1775	127	26	proportional	proportional	ADJ
fis-1775	127	27	tension	tension	NOUN
fis-1775	127	28	–	–	PUNCT
fis-1775	127	29	torsion	torsion	NOUN
fis-1775	127	30	histories	history	NOUN
fis-1775	127	31	,	,	PUNCT
fis-1775	127	32	j.	j.	PROPN
fis-1775	127	33	mat	mat	PROPN
fis-1775	127	34	.	.	PUNCT
fis-1775	127	35	res	re	NOUN
fis-1775	127	36	.	.	PUNCT
fis-1775	128	1	tech	tech	PROPN
fis-1775	128	2	.	.	PUNCT
fis-1775	128	3	,	,	PUNCT
fis-1775	128	4	4	4	NUM
fis-1775	128	5	(	(	PUNCT
fis-1775	128	6	2015	2015	NUM
fis-1775	128	7	)	)	PUNCT
fis-1775	128	8	229	229	NUM
fis-1775	128	9	-	-	SYM
fis-1775	128	10	234	234	NUM
fis-1775	128	11	.	.	PUNCT
fis-1775	129	1	[	[	X
fis-1775	129	2	11	11	NUM
fis-1775	129	3	]	]	X
fis-1775	129	4	meggiolaro	meggiolaro	NOUN
fis-1775	129	5	,	,	PUNCT
fis-1775	129	6	m.a	m.a	PROPN
fis-1775	129	7	.	.	PROPN
fis-1775	129	8	,	,	PUNCT
fis-1775	129	9	castro	castro	PROPN
fis-1775	129	10	,	,	PUNCT
fis-1775	129	11	j.t.p	j.t.p	PROPN
fis-1775	129	12	.	.	PROPN
fis-1775	129	13	,	,	PUNCT
fis-1775	129	14	wu	wu	PROPN
fis-1775	129	15	,	,	PUNCT
fis-1775	129	16	h.	h.	PROPN
fis-1775	129	17	,	,	PUNCT
fis-1775	129	18	on	on	ADP
fis-1775	129	19	the	the	DET
fis-1775	129	20	use	use	NOUN
fis-1775	129	21	of	of	ADP
fis-1775	129	22	tensor	tensor	NOUN
fis-1775	129	23	paths	path	NOUN
fis-1775	129	24	to	to	PART
fis-1775	129	25	estimate	estimate	VERB
fis-1775	129	26	the	the	DET
fis-1775	129	27	non	non	ADJ
fis-1775	129	28	-	-	ADJ
fis-1775	129	29	proportionality	proportionality	ADJ
fis-1775	129	30	factor	factor	NOUN
fis-1775	129	31	of	of	ADP
fis-1775	129	32	multiaxial	multiaxial	ADJ
fis-1775	129	33	stress	stress	NOUN
fis-1775	129	34	or	or	CCONJ
fis-1775	130	1	strain	strain	VERB
fis-1775	130	2	histories	history	NOUN
fis-1775	130	3	under	under	ADP
fis-1775	130	4	free	free	ADJ
fis-1775	130	5	-	-	PUNCT
fis-1775	130	6	surface	surface	NOUN
fis-1775	130	7	conditions	condition	NOUN
fis-1775	130	8	,	,	PUNCT
fis-1775	130	9	acta	acta	PROPN
fis-1775	130	10	.	.	PUNCT
fis-1775	130	11	mech	mech	PROPN
fis-1775	130	12	.	.	PUNCT
fis-1775	131	1	in	in	ADP
fis-1775	131	2	press	press	NOUN
fis-1775	131	3	(	(	PUNCT
fis-1775	131	4	2016	2016	NUM
fis-1775	131	5	)	)	PUNCT
fis-1775	131	6	.	.	PUNCT
fis-1775	132	1	[	[	X
fis-1775	132	2	12	12	NUM
fis-1775	132	3	]	]	SYM
fis-1775	132	4	matlab	matlab	PROPN
fis-1775	132	5	,	,	PUNCT
fis-1775	132	6	the	the	DET
fis-1775	132	7	mathworks	mathworks	PROPN
fis-1775	132	8	inc	inc	PROPN
fis-1775	132	9	.	.	PROPN
fis-1775	132	10	,	,	PUNCT
fis-1775	132	11	natick	natick	PROPN
fis-1775	132	12	,	,	PUNCT
fis-1775	132	13	ma	ma	PROPN
fis-1775	132	14	,	,	PUNCT
fis-1775	132	15	(	(	PUNCT
fis-1775	132	16	2016	2016	NUM
fis-1775	132	17	)	)	PUNCT
fis-1775	132	18	.	.	PUNCT
fis-1775	133	1	[	[	X
fis-1775	133	2	13	13	NUM
fis-1775	133	3	]	]	PUNCT
fis-1775	133	4	castro	castro	PROPN
fis-1775	133	5	,	,	PUNCT
fis-1775	133	6	j.t.p	j.t.p	PROPN
fis-1775	133	7	.	.	PROPN
fis-1775	133	8	,	,	PUNCT
fis-1775	133	9	meggiolaro	meggiolaro	PROPN
fis-1775	133	10	,	,	PUNCT
fis-1775	133	11	m.a	m.a	PROPN
fis-1775	133	12	.	.	PROPN
fis-1775	133	13	,	,	PUNCT
fis-1775	133	14	fatigue	fatigue	NOUN
fis-1775	133	15	design	design	NOUN
fis-1775	133	16	techniques	technique	NOUN
fis-1775	133	17	(	(	PUNCT
fis-1775	133	18	in	in	ADP
fis-1775	133	19	3	3	NUM
fis-1775	133	20	volumes	volume	NOUN
fis-1775	133	21	)	)	PUNCT
fis-1775	133	22	,	,	PUNCT
fis-1775	133	23	createspace	createspace	NOUN
fis-1775	133	24	,	,	PUNCT
fis-1775	133	25	scotts	scotts	PROPN
fis-1775	133	26	valley	valley	PROPN
fis-1775	133	27	,	,	PUNCT
fis-1775	133	28	ca	ca	PROPN
fis-1775	133	29	,	,	PUNCT
fis-1775	133	30	usa	usa	PROPN
fis-1775	133	31	(	(	PUNCT
fis-1775	133	32	2016	2016	NUM
fis-1775	133	33	)	)	PUNCT
fis-1775	133	34	.	.	PUNCT
fis-1775	134	1	appendix	appendix	VERB
fis-1775	134	2	atlab	atlab	ADJ
fis-1775	134	3	implementation	implementation	NOUN
fis-1775	134	4	of	of	ADP
fis-1775	134	5	the	the	DET
fis-1775	134	6	moi	moi	X
fis-1775	134	7	method	method	NOUN
fis-1775	134	8	for	for	ADP
fis-1775	134	9	a	a	DET
fis-1775	134	10	shear	shear	ADJ
fis-1775	134	11	-	-	PUNCT
fis-1775	134	12	shear	shear	NOUN
fis-1775	134	13	stress	stress	NOUN
fis-1775	134	14	history	history	NOUN
fis-1775	134	15	.	.	PUNCT
fis-1775	135	1	for	for	ADP
fis-1775	135	2	shear	shear	ADJ
fis-1775	135	3	-	-	PUNCT
fis-1775	135	4	shear	shear	NOUN
fis-1775	135	5	strain	strain	NOUN
fis-1775	135	6	histories	history	NOUN
fis-1775	135	7	,	,	PUNCT
fis-1775	135	8	it	it	PRON
fis-1775	135	9	is	be	AUX
fis-1775	135	10	enough	enough	ADJ
fis-1775	135	11	to	to	PART
fis-1775	135	12	replace	replace	VERB
fis-1775	135	13	all	all	DET
fis-1775	135	14	shear	shear	NOUN
fis-1775	135	15	stress	stress	NOUN
fis-1775	135	16	with	with	ADP
fis-1775	135	17	shear	shear	NOUN
fis-1775	135	18	strain	strain	NOUN
fis-1775	135	19	data	datum	NOUN
fis-1775	135	20	.	.	PUNCT
fis-1775	136	1	%	%	NOUN
fis-1775	136	2	inputs	input	NOUN
fis-1775	136	3	:	:	PUNCT
fis-1775	136	4	taua	taua	X
fis-1775	136	5	=	=	PUNCT
fis-1775	137	1	[	[	X
fis-1775	137	2	0	0	NUM
fis-1775	137	3	100	100	NUM
fis-1775	137	4	100	100	NUM
fis-1775	137	5	0	0	NUM
fis-1775	137	6	0	0	NUM
fis-1775	137	7	]	]	PUNCT
fis-1775	137	8	;	;	PUNCT
fis-1775	137	9	%	%	X
fis-1775	137	10	single	single	ADJ
fis-1775	137	11	event	event	NOUN
fis-1775	137	12	,	,	PUNCT
fis-1775	137	13	e.g.	e.g.	ADV
fis-1775	137	14	rectangular	rectangular	ADJ
fis-1775	137	15	path	path	NOUN
fis-1775	137	16	in	in	ADP
fis-1775	137	17	mpa	mpa	PROPN
fis-1775	137	18	taub	taub	PROPN
fis-1775	137	19	=	=	PUNCT
fis-1775	138	1	[	[	X
fis-1775	138	2	0	0	NUM
fis-1775	138	3	0	0	NUM
fis-1775	138	4	50	50	NUM
fis-1775	138	5	50	50	NUM
fis-1775	138	6	0	0	NUM
fis-1775	138	7	]	]	PUNCT
fis-1775	138	8	;	;	PUNCT
fis-1775	138	9	perimeter	perimeter	NOUN
fis-1775	138	10	=	=	PROPN
fis-1775	138	11	0	0	NUM
fis-1775	138	12	;	;	PUNCT
fis-1775	138	13	tauam	tauam	NOUN
fis-1775	138	14	=	=	SYM
fis-1775	138	15	0	0	NUM
fis-1775	138	16	;	;	PUNCT
fis-1775	138	17	taubm	taubm	NOUN
fis-1775	138	18	=	=	SYM
fis-1775	138	19	0	0	NUM
fis-1775	138	20	;	;	PUNCT
fis-1775	138	21	iorigin	iorigin	NOUN
fis-1775	138	22	=	=	SYM
fis-1775	138	23	0	0	NUM
fis-1775	138	24	;	;	PUNCT
fis-1775	138	25	%	%	NOUN
fis-1775	138	26	initialize	initialize	VERB
fis-1775	138	27	variable	variable	NOUN
fis-1775	138	28	for	for	ADP
fis-1775	138	29	i	i	PROPN
fis-1775	138	30	=	=	NOUN
fis-1775	138	31	1:(size(taua,2)-1	1:(size(taua,2)-1	PROPN
fis-1775	138	32	)	)	PUNCT
fis-1775	138	33	%	%	NOUN
fis-1775	138	34	for	for	ADP
fis-1775	138	35	all	all	DET
fis-1775	138	36	elements	element	NOUN
fis-1775	138	37	of	of	ADP
fis-1775	138	38	load	load	NOUN
fis-1775	138	39	path	path	NOUN
fis-1775	138	40	dtaua	dtaua	PROPN
fis-1775	138	41	=	=	SYM
fis-1775	138	42	(	(	PUNCT
fis-1775	138	43	taua(i+1)-taua(i	taua(i+1)-taua(i	NOUN
fis-1775	138	44	)	)	PUNCT
fis-1775	138	45	)	)	PUNCT
fis-1775	138	46	;	;	PUNCT
fis-1775	138	47	%	%	X
fis-1775	138	48	increment	increment	NOUN
fis-1775	138	49	of	of	ADP
fis-1775	138	50	shear	shear	NOUN
fis-1775	138	51	a	a	DET
fis-1775	138	52	dtaub	dtaub	NOUN
fis-1775	138	53	=	=	SYM
fis-1775	138	54	(	(	PUNCT
fis-1775	138	55	taub(i+1)-taub(i	taub(i+1)-taub(i	NOUN
fis-1775	138	56	)	)	PUNCT
fis-1775	138	57	)	)	PUNCT
fis-1775	138	58	;	;	PUNCT
fis-1775	138	59	%	%	X
fis-1775	138	60	increment	increment	NOUN
fis-1775	138	61	of	of	ADP
fis-1775	138	62	shear	shear	PROPN
fis-1775	138	63	b	b	PROPN
fis-1775	138	64	dtau	dtau	ADV
fis-1775	138	65	=	=	SYM
fis-1775	138	66	sqrt(dtaua^2+dtaub^2	sqrt(dtaua^2+dtaub^2	PROPN
fis-1775	138	67	)	)	PUNCT
fis-1775	138	68	;	;	PUNCT
fis-1775	139	1	%	%	X
fis-1775	139	2	length	length	NOUN
fis-1775	139	3	of	of	ADP
fis-1775	139	4	the	the	DET
fis-1775	139	5	shear	shear	NOUN
fis-1775	139	6	increment	increment	NOUN
fis-1775	139	7	perimeter	perimeter	NOUN
fis-1775	139	8	=	=	PROPN
fis-1775	139	9	perimeter	perimeter	PROPN
fis-1775	139	10	+	+	CCONJ
fis-1775	139	11	dtau	dtau	ADV
fis-1775	139	12	;	;	PUNCT
fis-1775	139	13	%	%	INTJ
fis-1775	139	14	perimeter	perimeter	NOUN
fis-1775	139	15	of	of	ADP
fis-1775	139	16	the	the	DET
fis-1775	139	17	entire	entire	ADJ
fis-1775	139	18	shear	shear	NOUN
fis-1775	139	19	path	path	NOUN
fis-1775	139	20	tauac	tauac	NOUN
fis-1775	139	21	=	=	SYM
fis-1775	139	22	(	(	PUNCT
fis-1775	139	23	taua(i+1)+taua(i))/2	taua(i+1)+taua(i))/2	PROPN
fis-1775	139	24	;	;	PUNCT
fis-1775	139	25	%	%	INTJ
fis-1775	139	26	centroid	centroid	NOUN
fis-1775	139	27	of	of	ADP
fis-1775	139	28	the	the	DET
fis-1775	139	29	shear	shear	NOUN
fis-1775	139	30	a	a	DET
fis-1775	139	31	segment	segment	NOUN
fis-1775	139	32	taubc	taubc	X
fis-1775	139	33	=	=	SYM
fis-1775	139	34	(	(	PUNCT
fis-1775	139	35	taub(i+1)+taub(i))/2	taub(i+1)+taub(i))/2	PROPN
fis-1775	139	36	;	;	PUNCT
fis-1775	139	37	%	%	PRON
fis-1775	139	38	centroid	centroid	NOUN
fis-1775	139	39	of	of	ADP
fis-1775	139	40	the	the	DET
fis-1775	139	41	shear	shear	NOUN
fis-1775	139	42	b	b	PROPN
fis-1775	139	43	segment	segment	NOUN
fis-1775	139	44	tauam	tauam	NOUN
fis-1775	139	45	=	=	NOUN
fis-1775	139	46	tauam	tauam	NOUN
fis-1775	139	47	+	+	CCONJ
fis-1775	139	48	dtau*tauac	dtau*tauac	NOUN
fis-1775	139	49	;	;	PUNCT
fis-1775	139	50	%	%	INTJ
fis-1775	139	51	mean	mean	NOUN
fis-1775	139	52	of	of	ADP
fis-1775	139	53	the	the	DET
fis-1775	139	54	shear	shear	NOUN
fis-1775	139	55	a	a	DET
fis-1775	139	56	path	path	NOUN
fis-1775	139	57	taubm	taubm	NOUN
fis-1775	139	58	=	=	SYM
fis-1775	139	59	taubm	taubm	PROPN
fis-1775	139	60	+	+	CCONJ
fis-1775	139	61	dtau*taubc	dtau*taubc	NOUN
fis-1775	139	62	;	;	PUNCT
fis-1775	139	63	%	%	INTJ
fis-1775	139	64	mean	mean	NOUN
fis-1775	139	65	of	of	ADP
fis-1775	139	66	the	the	DET
fis-1775	139	67	shear	shear	NOUN
fis-1775	139	68	b	b	PROPN
fis-1775	139	69	path	path	NOUN
fis-1775	139	70	iorigin	iorigin	NOUN
fis-1775	139	71	=	=	SYM
fis-1775	139	72	iorigin	iorigin	NOUN
fis-1775	139	73	+	+	CCONJ
fis-1775	139	74	dtau*(dtau^2/12	dtau*(dtau^2/12	PROPN
fis-1775	140	1	+	+	X
fis-1775	140	2	tauac^2	tauac^2	X
fis-1775	140	3	+	+	CCONJ
fis-1775	140	4	taubc^2	taubc^2	ADJ
fis-1775	140	5	)	)	PUNCT
fis-1775	140	6	;	;	PUNCT
fis-1775	140	7	%	%	X
fis-1775	140	8	pmoi	pmoi	NOUN
fis-1775	140	9	end	end	NOUN
fis-1775	140	10	iorigin	iorigin	NOUN
fis-1775	140	11	=	=	SYM
fis-1775	140	12	iorigin	iorigin	NOUN
fis-1775	140	13	/	/	SYM
fis-1775	140	14	perimeter	perimeter	NOUN
fis-1775	140	15	;	;	PUNCT
fis-1775	140	16	%	%	X
fis-1775	140	17	polar	polar	ADJ
fis-1775	140	18	moi	moi	X
fis-1775	140	19	requires	require	VERB
fis-1775	140	20	division	division	NOUN
fis-1775	140	21	by	by	ADP
fis-1775	140	22	perimeter	perimeter	NOUN
fis-1775	140	23	tauam	tauam	NOUN
fis-1775	140	24	=	=	SYM
fis-1775	140	25	tauam	tauam	PROPN
fis-1775	140	26	/	/	SYM
fis-1775	140	27	perimeter	perimeter	NOUN
fis-1775	140	28	;	;	PUNCT
fis-1775	140	29	%	%	INTJ
fis-1775	140	30	mean	mean	NOUN
fis-1775	140	31	component	component	NOUN
fis-1775	140	32	of	of	ADP
fis-1775	140	33	the	the	DET
fis-1775	140	34	shear	shear	NOUN
fis-1775	140	35	a	a	DET
fis-1775	140	36	path	path	NOUN
fis-1775	140	37	taubm	taubm	NOUN
fis-1775	140	38	=	=	SYM
fis-1775	140	39	taubm	taubm	NOUN
fis-1775	140	40	/	/	SYM
fis-1775	140	41	perimeter	perimeter	NOUN
fis-1775	140	42	;	;	PUNCT
fis-1775	140	43	%	%	INTJ
fis-1775	140	44	mean	mean	NOUN
fis-1775	140	45	component	component	NOUN
fis-1775	140	46	of	of	ADP
fis-1775	140	47	the	the	DET
fis-1775	140	48	shear	shear	NOUN
fis-1775	140	49	b	b	PROPN
fis-1775	140	50	path	path	NOUN
fis-1775	141	1	i	i	PRON
fis-1775	141	2	=	=	VERB
fis-1775	141	3	iorigin	iorigin	NOUN
fis-1775	141	4	(	(	PUNCT
fis-1775	141	5	tauam^2	tauam^2	PROPN
fis-1775	141	6	+	+	X
fis-1775	141	7	taubm^2	taubm^2	NUM
fis-1775	141	8	)	)	PUNCT
fis-1775	141	9	;	;	PUNCT
fis-1775	141	10	%	%	X
fis-1775	141	11	pmoi	pmoi	NOUN
fis-1775	141	12	with	with	ADP
fis-1775	141	13	respect	respect	NOUN
fis-1775	141	14	to	to	ADP
fis-1775	141	15	path	path	NOUN
fis-1775	141	16	mean	mean	NOUN
fis-1775	142	1	%	%	NOUN
fis-1775	142	2	outputs	output	NOUN
fis-1775	142	3	:	:	PUNCT
fis-1775	142	4	mean_component	mean_component	PROPN
fis-1775	142	5	=	=	PUNCT
fis-1775	143	1	[	[	X
fis-1775	143	2	tauam	tauam	NOUN
fis-1775	143	3	taubm	taubm	NOUN
fis-1775	143	4	]	]	X
fis-1775	143	5	%	%	INTJ
fis-1775	143	6	output	output	NOUN
fis-1775	143	7	mean	mean	NOUN
fis-1775	143	8	component	component	NOUN
fis-1775	143	9	of	of	ADP
fis-1775	143	10	2d	2d	NUM
fis-1775	143	11	shear	shear	NOUN
fis-1775	143	12	path	path	NOUN
fis-1775	143	13	equivalent_range	equivalent_range	PROPN
fis-1775	143	14	=	=	PUNCT
fis-1775	143	15	sqrt(12*i	sqrt(12*i	NOUN
fis-1775	143	16	)	)	PUNCT
fis-1775	143	17	%	%	NOUN
fis-1775	144	1	output	output	NOUN
fis-1775	144	2	equivalent	equivalent	ADJ
fis-1775	144	3	range	range	NOUN
fis-1775	144	4	m	m	VERB
fis-1775	144	5	<	<	X
fis-1775	144	6	<	<	X
fis-1775	144	7	/ascii85encodepages	/ascii85encodepage	NOUN
fis-1775	144	8	false	false	ADJ
fis-1775	144	9	/allowtransparency	/allowtransparency	NOUN
fis-1775	144	10	false	false	ADJ
fis-1775	144	11	/autopositionepsfiles	/autopositionepsfile	NOUN
fis-1775	144	12	true	true	ADJ
fis-1775	144	13	/autorotatepages	/autorotatepage	NOUN
fis-1775	144	14	/none	/none	PUNCT
fis-1775	144	15	/binding	/binding	PUNCT
fis-1775	144	16	/left	/left	ADJ
fis-1775	145	1	/calgrayprofile	/calgrayprofile	VERB
fis-1775	145	2	(	(	PUNCT
fis-1775	145	3	dot	dot	NOUN
fis-1775	145	4	gain	gain	NOUN
fis-1775	145	5	20	20	NUM
fis-1775	145	6	%	%	NOUN
fis-1775	145	7	)	)	PUNCT
fis-1775	145	8	/calrgbprofile	/calrgbprofile	PUNCT
fis-1775	146	1	(	(	PUNCT
fis-1775	146	2	srgb	srgb	PROPN
fis-1775	146	3	iec61966	iec61966	NOUN
fis-1775	146	4	-	-	PUNCT
fis-1775	146	5	2.1	2.1	NUM
fis-1775	146	6	)	)	PUNCT
fis-1775	146	7	/calcmykprofile	/calcmykprofile	PUNCT
fis-1775	147	1	(	(	PUNCT
fis-1775	147	2	u.s	u.s	PROPN
fis-1775	147	3	.	.	PROPN
fis-1775	147	4	web	web	NOUN
fis-1775	147	5	coated	coat	VERB
fis-1775	147	6	\050swop\051	\050swop\051	ADJ
fis-1775	147	7	v2	v2	NOUN
fis-1775	147	8	)	)	PUNCT
fis-1775	147	9	/srgbprofile	/srgbprofile	PUNCT
fis-1775	147	10	(	(	PUNCT
fis-1775	147	11	srgb	srgb	PROPN
fis-1775	147	12	iec61966	iec61966	NOUN
fis-1775	147	13	-	-	PUNCT
fis-1775	147	14	2.1	2.1	NUM
fis-1775	147	15	)	)	PUNCT
fis-1775	147	16	/cannotembedfontpolicy	/cannotembedfontpolicy	PUNCT
fis-1775	148	1	/error	/error	INTJ
fis-1775	148	2	/compatibilitylevel	/compatibilitylevel	NOUN
fis-1775	149	1	1.4	1.4	NUM
fis-1775	149	2	/compressobjects	/compressobject	NOUN
fis-1775	149	3	/tags	/tag	VERB
fis-1775	149	4	/compresspages	/compresspage	NOUN
fis-1775	149	5	true	true	ADJ
fis-1775	149	6	/convertimagestoindexed	/convertimagestoindexed	ADJ
fis-1775	149	7	true	true	ADJ
fis-1775	149	8	/passthroughjpegimages	/passthroughjpegimage	NOUN
fis-1775	149	9	true	true	ADJ
fis-1775	149	10	/createjobticket	/createjobticket	NOUN
fis-1775	149	11	false	false	ADJ
fis-1775	149	12	/defaultrenderingintent	/defaultrenderingintent	NOUN
fis-1775	149	13	/default	/default	PUNCT
fis-1775	149	14	/detectblends	/detectblend	NOUN
fis-1775	149	15	true	true	ADJ
fis-1775	149	16	/detectcurves	/detectcurve	VERB
fis-1775	150	1	0.0000	0.0000	NUM
fis-1775	150	2	/colorconversionstrategy	/colorconversionstrategy	NOUN
fis-1775	150	3	/cmyk	/cmyk	PUNCT
fis-1775	151	1	/dothumbnails	/dothumbnail	VERB
fis-1775	152	1	false	false	ADJ
fis-1775	152	2	/embedallfonts	/embedallfont	NOUN
fis-1775	152	3	true	true	ADJ
fis-1775	152	4	/embedopentype	/embedopentype	PUNCT
fis-1775	152	5	false	false	ADJ
fis-1775	152	6	/parseiccprofilesincomments	/parseiccprofilesincomment	NOUN
fis-1775	152	7	true	true	ADJ
fis-1775	152	8	/embedjoboptions	/embedjoboption	NOUN
fis-1775	152	9	true	true	ADJ
fis-1775	152	10	/dscreportinglevel	/dscreportinglevel	NOUN
fis-1775	152	11	0	0	NUM
fis-1775	152	12	/emitdscwarnings	/emitdscwarning	NOUN
fis-1775	152	13	false	false	ADJ
fis-1775	152	14	/endpage	/endpage	NOUN
fis-1775	152	15	-1	-1	NOUN
fis-1775	152	16	/imagememory	/imagememory	NUM
fis-1775	152	17	1048576	1048576	NUM
fis-1775	152	18	/lockdistillerparams	/lockdistillerparams	NOUN
fis-1775	152	19	false	false	ADJ
fis-1775	152	20	/maxsubsetpct	/maxsubsetpct	ADJ
fis-1775	152	21	100	100	NUM
fis-1775	152	22	/optimize	/optimize	NOUN
fis-1775	152	23	true	true	ADJ
fis-1775	152	24	/opm	/opm	NOUN
fis-1775	152	25	1	1	NUM
fis-1775	152	26	/parsedsccomments	/parsedsccomment	NOUN
fis-1775	152	27	true	true	ADJ
fis-1775	152	28	/parsedsccommentsfordocinfo	/parsedsccommentsfordocinfo	VERB
fis-1775	152	29	true	true	ADJ
fis-1775	152	30	/preservecopypage	/preservecopypage	NOUN
fis-1775	152	31	true	true	ADJ
fis-1775	152	32	/preservedicmykvalues	/preservedicmykvalue	NOUN
fis-1775	152	33	true	true	ADJ
fis-1775	152	34	/preserveepsinfo	/preserveepsinfo	NOUN
fis-1775	152	35	true	true	ADJ
fis-1775	152	36	/preserveflatness	/preserveflatness	NOUN
fis-1775	152	37	true	true	ADJ
fis-1775	152	38	/preservehalftoneinfo	/preservehalftoneinfo	PUNCT
fis-1775	152	39	false	false	ADJ
fis-1775	152	40	/preserveopicomments	/preserveopicomment	NOUN
fis-1775	152	41	true	true	ADJ
fis-1775	152	42	/preserveoverprintsettings	/preserveoverprintsetting	NOUN
fis-1775	152	43	true	true	ADJ
fis-1775	152	44	/startpage	/startpage	NOUN
fis-1775	152	45	1	1	NUM
fis-1775	152	46	/subsetfonts	/subsetfont	NOUN
fis-1775	152	47	true	true	ADJ
fis-1775	152	48	/transferfunctioninfo	/transferfunctioninfo	PUNCT
fis-1775	152	49	/apply	/apply	PUNCT
fis-1775	152	50	/ucrandbginfo	/ucrandbginfo	PUNCT
fis-1775	153	1	/preserve	/preserve	NOUN
fis-1775	153	2	/useprologue	/useprologue	NOUN
fis-1775	153	3	false	false	ADJ
fis-1775	153	4	/colorsettingsfile	/colorsettingsfile	NOUN
fis-1775	153	5	(	(	PUNCT
fis-1775	153	6	)	)	PUNCT
fis-1775	153	7	/alwaysembed	/alwaysembe	VERB
fis-1775	153	8	[	[	PUNCT
fis-1775	153	9	true	true	ADJ
fis-1775	153	10	]	]	PUNCT
fis-1775	153	11	/neverembed	/neverembed	PUNCT
fis-1775	154	1	[	[	PUNCT
fis-1775	154	2	true	true	ADJ
fis-1775	154	3	]	]	PUNCT
fis-1775	154	4	/antialiascolorimages	/antialiascolorimages	X
fis-1775	154	5	false	false	ADJ
fis-1775	154	6	/cropcolorimages	/cropcolorimages	PUNCT
fis-1775	154	7	true	true	ADJ
fis-1775	154	8	/colorimageminresolution	/colorimageminresolution	PUNCT
fis-1775	154	9	300	300	NUM
fis-1775	154	10	/colorimageminresolutionpolicy	/colorimageminresolutionpolicy	NOUN
fis-1775	154	11	/ok	/ok	ADJ
fis-1775	155	1	/downsamplecolorimages	/downsamplecolorimage	VERB
fis-1775	156	1	true	true	ADJ
fis-1775	156	2	/colorimagedownsampletype	/colorimagedownsampletype	PUNCT
fis-1775	156	3	/bicubic	/bicubic	NOUN
fis-1775	156	4	/colorimageresolution	/colorimageresolution	NOUN
fis-1775	157	1	300	300	NUM
fis-1775	157	2	/colorimagedepth	/colorimagedepth	PRON
fis-1775	157	3	-1	-1	INTJ
fis-1775	157	4	/colorimagemindownsampledepth	/colorimagemindownsampledepth	SYM
fis-1775	157	5	1	1	NUM
fis-1775	157	6	/colorimagedownsamplethreshold	/colorimagedownsamplethreshold	SYM
fis-1775	157	7	1.50000	1.50000	NUM
fis-1775	157	8	/encodecolorimages	/encodecolorimage	NOUN
fis-1775	157	9	true	true	ADJ
fis-1775	157	10	/colorimagefilter	/colorimagefilter	PUNCT
fis-1775	157	11	/dctencode	/dctencode	PUNCT
fis-1775	158	1	/autofiltercolorimages	/autofiltercolorimage	NOUN
fis-1775	158	2	true	true	ADJ
fis-1775	158	3	/colorimageautofilterstrategy	/colorimageautofilterstrategy	PUNCT
fis-1775	158	4	/jpeg	/jpeg	PUNCT
fis-1775	158	5	/coloracsimagedict	/coloracsimagedict	PUNCT
fis-1775	159	1	<	<	X
fis-1775	159	2	<	<	X
fis-1775	159	3	/qfactor	/qfactor	NOUN
fis-1775	159	4	0.15	0.15	NUM
fis-1775	159	5	/hsamples	/hsample	NOUN
fis-1775	160	1	[	[	X
fis-1775	160	2	1	1	NUM
fis-1775	160	3	1	1	NUM
fis-1775	160	4	1	1	NUM
fis-1775	160	5	1	1	NUM
fis-1775	160	6	]	]	PUNCT
fis-1775	160	7	/vsamples	/vsample	NOUN
fis-1775	161	1	[	[	X
fis-1775	161	2	1	1	NUM
fis-1775	161	3	1	1	NUM
fis-1775	161	4	1	1	NUM
fis-1775	161	5	1	1	NUM
fis-1775	161	6	]	]	PUNCT
fis-1775	161	7	>	>	PUNCT
fis-1775	161	8	>	>	X
fis-1775	161	9	/colorimagedict	/colorimagedict	PUNCT
fis-1775	162	1	<	<	X
fis-1775	162	2	<	<	X
fis-1775	162	3	/qfactor	/qfactor	NOUN
fis-1775	162	4	0.15	0.15	NUM
fis-1775	162	5	/hsamples	/hsample	NOUN
fis-1775	163	1	[	[	X
fis-1775	163	2	1	1	NUM
fis-1775	163	3	1	1	NUM
fis-1775	163	4	1	1	NUM
fis-1775	163	5	1	1	NUM
fis-1775	163	6	]	]	PUNCT
fis-1775	163	7	/vsamples	/vsample	NOUN
fis-1775	164	1	[	[	X
fis-1775	164	2	1	1	NUM
fis-1775	164	3	1	1	NUM
fis-1775	164	4	1	1	NUM
fis-1775	164	5	1	1	NUM
fis-1775	164	6	]	]	PUNCT
fis-1775	164	7	>	>	PUNCT
fis-1775	164	8	>	>	X
fis-1775	164	9	/jpeg2000coloracsimagedict	/jpeg2000coloracsimagedict	PUNCT
fis-1775	165	1	<	<	X
fis-1775	165	2	<	<	X
fis-1775	165	3	/tilewidth	/tilewidth	PUNCT
fis-1775	165	4	256	256	NUM
fis-1775	165	5	/tileheight	/tileheight	NUM
fis-1775	165	6	256	256	NUM
fis-1775	165	7	/quality	/quality	NOUN
fis-1775	165	8	30	30	NUM
fis-1775	165	9	>	>	PUNCT
fis-1775	165	10	>	>	X
fis-1775	165	11	/jpeg2000colorimagedict	/jpeg2000colorimagedict	PUNCT
fis-1775	165	12	<	<	X
fis-1775	165	13	<	<	X
fis-1775	165	14	/tilewidth	/tilewidth	PUNCT
fis-1775	165	15	256	256	NUM
fis-1775	165	16	/tileheight	/tileheight	NUM
fis-1775	165	17	256	256	NUM
fis-1775	165	18	/quality	/quality	NOUN
fis-1775	165	19	30	30	NUM
fis-1775	165	20	>	>	PUNCT
fis-1775	165	21	>	>	X
fis-1775	165	22	/antialiasgrayimages	/antialiasgrayimages	X
fis-1775	165	23	false	false	ADJ
fis-1775	165	24	/cropgrayimages	/cropgrayimage	NOUN
fis-1775	165	25	true	true	ADJ
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fis-1775	189	6	>	>	X
fis-1775	189	7	/esp	/esp	PUNCT
fis-1775	189	8	<	<	X
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fis-1775	189	10	>	>	X
fis-1775	189	11	/eti	/eti	X
fis-1775	190	1	<	<	X
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fis-1775	190	3	>	>	X
fis-1775	190	4	/fra	/fra	PUNCT
fis-1775	191	1	<	<	X
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fis-1775	191	3	>	>	X
fis-1775	191	4	/gre	/gre	PUNCT
fis-1775	191	5	<	<	X
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fis-1775	191	7	>	>	X
fis-1775	191	8	/heb	/heb	X
fis-1775	191	9	<	<	X
fis-1775	191	10	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	X
fis-1775	191	11	>	>	X
fis-1775	191	12	/hrv	/hrv	PROPN
fis-1775	192	1	(	(	PUNCT
fis-1775	192	2	za	za	PROPN
fis-1775	192	3	stvaranje	stvaranje	PROPN
fis-1775	192	4	adobe	adobe	PROPN
fis-1775	192	5	pdf	pdf	PROPN
fis-1775	192	6	dokumenata	dokumenata	PROPN
fis-1775	192	7	najpogodnijih	najpogodnijih	PROPN
fis-1775	192	8	za	za	PROPN
fis-1775	192	9	visokokvalitetni	visokokvalitetni	VERB
fis-1775	192	10	ispis	ispis	ADJ
fis-1775	192	11	prije	prije	NOUN
fis-1775	192	12	tiskanja	tiskanja	PROPN
fis-1775	192	13	koristite	koristite	PROPN
fis-1775	192	14	ove	ove	NOUN
fis-1775	192	15	postavke	postavke	NOUN
fis-1775	192	16	.	.	PUNCT
fis-1775	193	1	stvoreni	stvoreni	ADJ
fis-1775	193	2	pdf	pdf	NOUN
fis-1775	193	3	dokumenti	dokumenti	PROPN
fis-1775	193	4	mogu	mogu	PROPN
fis-1775	193	5	se	se	X
fis-1775	193	6	otvoriti	otvoriti	PROPN
fis-1775	193	7	acrobat	acrobat	PROPN
fis-1775	194	1	i	i	PRON
fis-1775	194	2	adobe	adobe	PROPN
fis-1775	194	3	reader	reader	PROPN
fis-1775	194	4	5.0	5.0	NUM
fis-1775	194	5	i	i	PRON
fis-1775	194	6	kasnijim	kasnijim	VERB
fis-1775	194	7	verzijama	verzijama	NOUN
fis-1775	194	8	.	.	PUNCT
fis-1775	194	9	)	)	PUNCT
fis-1775	195	1	/hun	/hun	PUNCT
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fis-1775	196	3	>	>	X
fis-1775	196	4	/ita	/ita	PUNCT
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fis-1775	197	3	>	>	X
fis-1775	197	4	/jpn	/jpn	PROPN
fis-1775	198	1	<	<	X
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fis-1775	198	3	>	>	X
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fis-1775	201	3	>	>	X
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fis-1775	202	1	(	(	PUNCT
fis-1775	202	2	gebruik	gebruik	NOUN
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fis-1775	204	1	/nor	/nor	PUNCT
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fis-1775	207	7	>	>	X
fis-1775	207	8	/suo	/suo	PROPN
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fis-1775	208	3	>	>	X
fis-1775	208	4	/sve	/sve	PROPN
fis-1775	208	5	<	<	X
fis-1775	208	6	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	X
fis-1775	208	7	>	>	X
fis-1775	208	8	/tur	/tur	X
fis-1775	208	9	<	<	X
fis-1775	208	10	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	PROPN
fis-1775	208	11	>	>	X
fis-1775	208	12	/ukr	/ukr	X
fis-1775	208	13	<	<	X
fis-1775	208	14	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	X
fis-1775	208	15	>	>	X
fis-1775	208	16	/enu	/enu	PUNCT
fis-1775	208	17	(	(	PUNCT
fis-1775	208	18	use	use	VERB
fis-1775	208	19	these	these	DET
fis-1775	208	20	settings	setting	NOUN
fis-1775	208	21	to	to	PART
fis-1775	208	22	create	create	VERB
fis-1775	208	23	adobe	adobe	PROPN
fis-1775	208	24	pdf	pdf	PROPN
fis-1775	208	25	documents	document	NOUN
fis-1775	208	26	best	well	ADV
fis-1775	208	27	suited	suit	VERB
fis-1775	208	28	for	for	ADP
fis-1775	208	29	high	high	ADJ
fis-1775	208	30	-	-	PUNCT
fis-1775	208	31	quality	quality	NOUN
fis-1775	208	32	prepress	prepress	NOUN
fis-1775	208	33	printing	printing	NOUN
fis-1775	208	34	.	.	PUNCT
fis-1775	209	1	created	create	VERB
fis-1775	209	2	pdf	pdf	NOUN
fis-1775	209	3	documents	document	NOUN
fis-1775	209	4	can	can	AUX
fis-1775	209	5	be	be	AUX
fis-1775	209	6	opened	open	VERB
fis-1775	209	7	with	with	ADP
fis-1775	209	8	acrobat	acrobat	PROPN
fis-1775	209	9	and	and	CCONJ
fis-1775	209	10	adobe	adobe	PROPN
fis-1775	209	11	reader	reader	PROPN
fis-1775	209	12	5.0	5.0	NUM
fis-1775	209	13	and	and	CCONJ
fis-1775	209	14	later	later	ADV
fis-1775	209	15	.	.	PUNCT
fis-1775	209	16	)	)	PUNCT
fis-1775	210	1	>	>	PUNCT
fis-1775	210	2	>	>	X
fis-1775	210	3	/namespace	/namespace	PUNCT
fis-1775	211	1	[	[	PUNCT
fis-1775	211	2	(	(	PUNCT
fis-1775	211	3	adobe	adobe	PROPN
fis-1775	211	4	)	)	PUNCT
fis-1775	211	5	(	(	PUNCT
fis-1775	211	6	common	common	ADJ
fis-1775	211	7	)	)	PUNCT
fis-1775	211	8	(	(	PUNCT
fis-1775	211	9	1.0	1.0	NUM
fis-1775	211	10	)	)	PUNCT
fis-1775	211	11	]	]	PUNCT
fis-1775	212	1	/othernamespaces	/othernamespace	VERB
fis-1775	212	2	[	[	PUNCT
fis-1775	212	3	<	<	X
fis-1775	212	4	<	<	X
fis-1775	212	5	/asreaderspreads	/asreaderspreads	X
fis-1775	212	6	false	false	ADJ
fis-1775	212	7	/cropimagestoframes	/cropimagestoframe	NOUN
fis-1775	212	8	true	true	ADJ
fis-1775	212	9	/errorcontrol	/errorcontrol	NOUN
fis-1775	213	1	/warnandcontinue	/warnandcontinue	PUNCT
fis-1775	213	2	/flattenerignorespreadoverrides	/flattenerignorespreadoverride	NOUN
fis-1775	213	3	false	false	ADJ
fis-1775	213	4	/includeguidesgrids	/includeguidesgrid	NOUN
fis-1775	213	5	false	false	ADJ
fis-1775	213	6	/includenonprinting	/includenonprinting	NOUN
fis-1775	213	7	false	false	ADJ
fis-1775	213	8	/includeslug	/includeslug	INTJ
fis-1775	213	9	false	false	ADJ
fis-1775	213	10	/namespace	/namespace	NOUN
fis-1775	214	1	[	[	PUNCT
fis-1775	214	2	(	(	PUNCT
fis-1775	214	3	adobe	adobe	PROPN
fis-1775	214	4	)	)	PUNCT
fis-1775	214	5	(	(	PUNCT
fis-1775	214	6	indesign	indesign	NOUN
fis-1775	214	7	)	)	PUNCT
fis-1775	214	8	(	(	PUNCT
fis-1775	214	9	4.0	4.0	NUM
fis-1775	214	10	)	)	PUNCT
fis-1775	214	11	]	]	PUNCT
fis-1775	214	12	/omitplacedbitmaps	/omitplacedbitmaps	PUNCT
fis-1775	215	1	false	false	ADJ
fis-1775	215	2	/omitplacedeps	/omitplacedeps	INTJ
fis-1775	215	3	false	false	ADJ
fis-1775	215	4	/omitplacedpdf	/omitplacedpdf	PUNCT
fis-1775	215	5	false	false	ADJ
fis-1775	215	6	/simulateoverprint	/simulateoverprint	NOUN
fis-1775	215	7	/legacy	/legacy	PUNCT
fis-1775	216	1	>	>	PUNCT
fis-1775	216	2	>	>	X
fis-1775	217	1	<	<	X
fis-1775	217	2	<	<	X
fis-1775	217	3	/addbleedmarks	/addbleedmarks	X
fis-1775	217	4	false	false	ADJ
fis-1775	217	5	/addcolorbars	/addcolorbars	INTJ
fis-1775	217	6	false	false	ADJ
fis-1775	217	7	/addcropmarks	/addcropmarks	PUNCT
fis-1775	217	8	false	false	ADJ
fis-1775	217	9	/addpageinfo	/addpageinfo	INTJ
fis-1775	217	10	false	false	ADJ
fis-1775	217	11	/addregmarks	/addregmark	NOUN
fis-1775	217	12	false	false	ADJ
fis-1775	217	13	/convertcolors	/convertcolor	NOUN
fis-1775	217	14	/converttocmyk	/converttocmyk	INTJ
fis-1775	217	15	/destinationprofilename	/destinationprofilename	PUNCT
fis-1775	217	16	(	(	PUNCT
fis-1775	217	17	)	)	PUNCT
fis-1775	217	18	/destinationprofileselector	/destinationprofileselector	NOUN
fis-1775	217	19	/documentcmyk	/documentcmyk	PUNCT
fis-1775	217	20	/downsample16bitimages	/downsample16bitimage	NOUN
fis-1775	217	21	true	true	ADJ
fis-1775	217	22	/flattenerpreset	/flattenerpreset	PUNCT
fis-1775	218	1	<	<	X
fis-1775	218	2	<	<	X
fis-1775	218	3	/presetselector	/presetselector	X
fis-1775	218	4	/mediumresolution	/mediumresolution	NOUN
fis-1775	218	5	>	>	PUNCT
fis-1775	218	6	>	>	X
fis-1775	218	7	/formelements	/formelement	NOUN
fis-1775	219	1	false	false	ADJ
fis-1775	219	2	/generatestructure	/generatestructure	PUNCT
fis-1775	219	3	false	false	ADJ
fis-1775	219	4	/includebookmarks	/includebookmark	NOUN
fis-1775	219	5	false	false	ADJ
fis-1775	219	6	/includehyperlinks	/includehyperlinks	INTJ
fis-1775	219	7	false	false	ADJ
fis-1775	219	8	/includeinteractive	/includeinteractive	ADJ
fis-1775	219	9	false	false	ADJ
fis-1775	219	10	/includelayers	/includelayer	NOUN
fis-1775	219	11	false	false	ADJ
fis-1775	219	12	/includeprofiles	/includeprofiles	INTJ
fis-1775	219	13	false	false	ADJ
fis-1775	219	14	/multimediahandling	/multimediahandling	NOUN
fis-1775	220	1	/useobjectsettings	/useobjectsettings	PRON
fis-1775	221	1	/namespace	/namespace	PUNCT
fis-1775	222	1	[	[	PUNCT
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fis-1775	222	3	adobe	adobe	PROPN
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fis-1775	222	5	(	(	PUNCT
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fis-1775	223	1	/pdfxoutputintentprofileselector	/pdfxoutputintentprofileselector	INTJ
fis-1775	223	2	/documentcmyk	/documentcmyk	PUNCT
fis-1775	224	1	/preserveediting	/preserveedite	VERB
fis-1775	224	2	true	true	ADJ
fis-1775	224	3	/untaggedcmykhandling	/untaggedcmykhandling	NOUN
fis-1775	224	4	/leaveuntagged	/leaveuntagge	VERB
fis-1775	224	5	/untaggedrgbhandling	/untaggedrgbhandling	NOUN
fis-1775	224	6	/usedocumentprofile	/usedocumentprofile	INTJ
fis-1775	224	7	/usedocumentbleed	/usedocumentbleed	NOUN
fis-1775	225	1	false	false	ADJ
fis-1775	225	2	>	>	PUNCT
fis-1775	225	3	>	>	X
fis-1775	225	4	]	]	PUNCT
fis-1775	225	5	>	>	PUNCT
fis-1775	225	6	>	>	X
fis-1775	225	7	setdistillerparams	setdistillerparam	NOUN
fis-1775	226	1	<	<	X
fis-1775	226	2	<	<	X
fis-1775	226	3	/hwresolution	/hwresolution	NOUN
fis-1775	227	1	[	[	X
fis-1775	227	2	2400	2400	NUM
fis-1775	227	3	2400	2400	NUM
fis-1775	227	4	]	]	PUNCT
fis-1775	227	5	/pagesize	/pagesize	X
fis-1775	228	1	[	[	X
fis-1775	228	2	612.000	612.000	NUM
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fis-1775	228	4	]	]	PUNCT
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fis-1775	228	6	>	>	X
fis-1775	228	7	setpagedevice	setpagedevice	PROPN
