id	sid	tid	token	lemma	pos
fis-1552	1	1	microsoft	microsoft	PROPN
fis-1552	1	2	word	word	NOUN
fis-1552	1	3	001	001	NUM
fis-1552	1	4	plenary	plenary	ADJ
fis-1552	1	5	marciniak	marciniak	PROPN
fis-1552	1	6	rozumek	rozumek	PROPN
fis-1552	1	7	poland	poland	PROPN
fis-1552	1	8	paper	paper	PROPN
fis-1552	1	9	final	final	ADJ
fis-1552	1	10	z.	z.	PROPN
fis-1552	1	11	marciniak	marciniak	PROPN
fis-1552	1	12	et	et	PROPN
fis-1552	1	13	alii	alii	PROPN
fis-1552	1	14	,	,	PUNCT
fis-1552	1	15	frattura	frattura	PROPN
fis-1552	1	16	ed	ed	PROPN
fis-1552	1	17	integrità	integrità	PROPN
fis-1552	1	18	strutturale	strutturale	PROPN
fis-1552	1	19	,	,	PUNCT
fis-1552	1	20	34	34	NUM
fis-1552	1	21	(	(	PUNCT
fis-1552	1	22	2015	2015	NUM
fis-1552	1	23	)	)	PUNCT
fis-1552	1	24	1	1	NUM
fis-1552	1	25	-	-	SYM
fis-1552	1	26	10	10	NUM
fis-1552	1	27	;	;	PUNCT
fis-1552	1	28	doi	doi	NOUN
fis-1552	1	29	:	:	PUNCT
fis-1552	1	30	10.3221	10.3221	NUM
fis-1552	1	31	/	/	SYM
fis-1552	1	32	igf	igf	PROPN
fis-1552	1	33	-	-	ADJ
fis-1552	1	34	esis.34.01	esis.34.01	NOUN
fis-1552	1	35	1	1	NUM
fis-1552	1	36	focussed	focusse	VERB
fis-1552	1	37	on	on	ADP
fis-1552	1	38	crack	crack	NOUN
fis-1552	1	39	paths	path	NOUN
fis-1552	1	40	models	model	NOUN
fis-1552	1	41	of	of	ADP
fis-1552	1	42	initiation	initiation	NOUN
fis-1552	1	43	fatigue	fatigue	NOUN
fis-1552	1	44	crack	crack	NOUN
fis-1552	1	45	paths	path	NOUN
fis-1552	1	46	proposed	propose	VERB
fis-1552	1	47	by	by	ADP
fis-1552	1	48	macha	macha	PROPN
fis-1552	1	49	z.	z.	PROPN
fis-1552	1	50	marciniak	marciniak	PROPN
fis-1552	1	51	opole	opole	PROPN
fis-1552	1	52	university	university	PROPN
fis-1552	1	53	of	of	ADP
fis-1552	1	54	technology	technology	PROPN
fis-1552	1	55	,	,	PUNCT
fis-1552	1	56	poland	poland	PROPN
fis-1552	1	57	z.marciniak@po.opole.pl	z.marciniak@po.opole.pl	PROPN
fis-1552	2	1	d.	d.	PROPN
fis-1552	2	2	rozumek	rozumek	PROPN
fis-1552	2	3	opole	opole	PROPN
fis-1552	2	4	university	university	PROPN
fis-1552	2	5	of	of	ADP
fis-1552	2	6	technology	technology	PROPN
fis-1552	2	7	,	,	PUNCT
fis-1552	2	8	poland	poland	PROPN
fis-1552	2	9	d.rozumek@po.opole.pl	d.rozumek@po.opole.pl	PROPN
fis-1552	2	10	abstract	abstract	ADJ
fis-1552	2	11	.	.	PUNCT
fis-1552	3	1	professor	professor	PROPN
fis-1552	3	2	e.	e.	PROPN
fis-1552	3	3	macha	macha	PROPN
fis-1552	3	4	devoted	devote	VERB
fis-1552	3	5	his	his	PRON
fis-1552	3	6	academic	academic	ADJ
fis-1552	3	7	life	life	NOUN
fis-1552	3	8	to	to	ADP
fis-1552	3	9	solving	solve	VERB
fis-1552	3	10	the	the	DET
fis-1552	3	11	problems	problem	NOUN
fis-1552	3	12	connected	connect	VERB
fis-1552	3	13	with	with	ADP
fis-1552	3	14	random	random	ADJ
fis-1552	3	15	multiaxial	multiaxial	ADJ
fis-1552	3	16	fatigue	fatigue	NOUN
fis-1552	3	17	in	in	ADP
fis-1552	3	18	components	component	NOUN
fis-1552	3	19	of	of	ADP
fis-1552	3	20	machines	machine	NOUN
fis-1552	3	21	and	and	CCONJ
fis-1552	3	22	structures	structure	NOUN
fis-1552	3	23	.	.	PUNCT
fis-1552	4	1	in	in	ADP
fis-1552	4	2	his	his	PRON
fis-1552	4	3	studies	study	NOUN
fis-1552	4	4	he	he	PRON
fis-1552	4	5	formulated	formulate	VERB
fis-1552	4	6	stress	stress	NOUN
fis-1552	4	7	,	,	PUNCT
fis-1552	4	8	strain	strain	NOUN
fis-1552	4	9	and	and	CCONJ
fis-1552	4	10	energy	energy	NOUN
fis-1552	4	11	criteria	criterion	NOUN
fis-1552	4	12	related	relate	VERB
fis-1552	4	13	to	to	ADP
fis-1552	4	14	critical	critical	ADJ
fis-1552	4	15	plane	plane	NOUN
fis-1552	4	16	concept	concept	NOUN
fis-1552	4	17	.	.	PUNCT
fis-1552	5	1	he	he	PRON
fis-1552	5	2	also	also	ADV
fis-1552	5	3	proposed	propose	VERB
fis-1552	5	4	several	several	ADJ
fis-1552	5	5	methods	method	NOUN
fis-1552	5	6	to	to	PART
fis-1552	5	7	determine	determine	VERB
fis-1552	5	8	critical	critical	ADJ
fis-1552	5	9	plane	plane	NOUN
fis-1552	5	10	position	position	NOUN
fis-1552	5	11	.	.	PUNCT
fis-1552	6	1	in	in	ADP
fis-1552	6	2	particular	particular	ADJ
fis-1552	6	3	,	,	PUNCT
fis-1552	6	4	he	he	PRON
fis-1552	6	5	formulated	formulate	VERB
fis-1552	6	6	and	and	CCONJ
fis-1552	6	7	verified	verify	VERB
fis-1552	6	8	weight	weight	NOUN
fis-1552	6	9	functions	function	NOUN
fis-1552	6	10	applied	apply	VERB
fis-1552	6	11	in	in	ADP
fis-1552	6	12	order	order	NOUN
fis-1552	6	13	to	to	PART
fis-1552	6	14	determine	determine	VERB
fis-1552	6	15	critical	critical	ADJ
fis-1552	6	16	plane	plane	NOUN
fis-1552	6	17	position	position	NOUN
fis-1552	6	18	.	.	PUNCT
fis-1552	7	1	the	the	DET
fis-1552	7	2	variance	variance	NOUN
fis-1552	7	3	method	method	NOUN
fis-1552	7	4	constituted	constitute	VERB
fis-1552	7	5	another	another	DET
fis-1552	7	6	significant	significant	ADJ
fis-1552	7	7	contribution	contribution	NOUN
fis-1552	7	8	to	to	ADP
fis-1552	7	9	the	the	DET
fis-1552	7	10	development	development	NOUN
fis-1552	7	11	of	of	ADP
fis-1552	7	12	methods	method	NOUN
fis-1552	7	13	for	for	ADP
fis-1552	7	14	determining	determine	VERB
fis-1552	7	15	critical	critical	ADJ
fis-1552	7	16	plane	plane	NOUN
fis-1552	7	17	position	position	NOUN
fis-1552	7	18	.	.	PUNCT
fis-1552	8	1	apart	apart	ADV
fis-1552	8	2	from	from	ADP
fis-1552	8	3	these	these	DET
fis-1552	8	4	criteria	criterion	NOUN
fis-1552	8	5	,	,	PUNCT
fis-1552	8	6	macha	macha	PROPN
fis-1552	8	7	was	be	AUX
fis-1552	8	8	exploring	explore	VERB
fis-1552	8	9	energy	energy	NOUN
fis-1552	8	10	approach	approach	NOUN
fis-1552	8	11	in	in	ADP
fis-1552	8	12	fatigue	fatigue	NOUN
fis-1552	8	13	of	of	ADP
fis-1552	8	14	materials	material	NOUN
fis-1552	8	15	and	and	CCONJ
fis-1552	8	16	the	the	DET
fis-1552	8	17	development	development	NOUN
fis-1552	8	18	of	of	ADP
fis-1552	8	19	fatigue	fatigue	NOUN
fis-1552	8	20	cracks	crack	NOUN
fis-1552	8	21	.	.	PUNCT
fis-1552	9	1	he	he	PRON
fis-1552	9	2	has	have	AUX
fis-1552	9	3	also	also	ADV
fis-1552	9	4	observed	observe	VERB
fis-1552	9	5	that	that	SCONJ
fis-1552	9	6	strain	strain	NOUN
fis-1552	9	7	characteristics	characteristic	NOUN
fis-1552	9	8	multiplied	multiply	VERB
fis-1552	9	9	by	by	ADP
fis-1552	9	10	stress	stress	NOUN
fis-1552	9	11	amplitude	amplitude	NOUN
fis-1552	9	12	determined	determine	VERB
fis-1552	9	13	at	at	ADP
fis-1552	9	14	specimen	speciman	NOUN
fis-1552	9	15	half	half	ADJ
fis-1552	9	16	-	-	PUNCT
fis-1552	9	17	life	life	NOUN
fis-1552	9	18	are	be	AUX
fis-1552	9	19	applied	apply	VERB
fis-1552	9	20	to	to	PART
fis-1552	9	21	estimate	estimate	VERB
fis-1552	9	22	fatigue	fatigue	NOUN
fis-1552	9	23	life	life	NOUN
fis-1552	9	24	using	use	VERB
fis-1552	9	25	energy	energy	NOUN
fis-1552	9	26	criteria	criterion	NOUN
fis-1552	9	27	.	.	PUNCT
fis-1552	10	1	however	however	ADV
fis-1552	10	2	,	,	PUNCT
fis-1552	10	3	for	for	ADP
fis-1552	10	4	cyclically	cyclically	ADV
fis-1552	10	5	instable	instable	ADJ
fis-1552	10	6	materials	material	NOUN
fis-1552	10	7	,	,	PUNCT
fis-1552	10	8	stress	stress	NOUN
fis-1552	10	9	amplitude	amplitude	NOUN
fis-1552	10	10	value	value	NOUN
fis-1552	10	11	may	may	AUX
fis-1552	10	12	differ	differ	VERB
fis-1552	10	13	a	a	DET
fis-1552	10	14	lot	lot	NOUN
fis-1552	10	15	;	;	PUNCT
fis-1552	10	16	therefore	therefore	ADV
fis-1552	10	17	he	he	PRON
fis-1552	10	18	proposed	propose	VERB
fis-1552	10	19	the	the	DET
fis-1552	10	20	method	method	NOUN
fis-1552	10	21	to	to	PART
fis-1552	10	22	determine	determine	VERB
fis-1552	10	23	energy	energy	NOUN
fis-1552	10	24	fatigue	fatigue	NOUN
fis-1552	10	25	characteristics	characteristic	NOUN
fis-1552	10	26	directly	directly	ADV
fis-1552	10	27	from	from	ADP
fis-1552	10	28	experimental	experimental	ADJ
fis-1552	10	29	research	research	NOUN
fis-1552	10	30	.	.	PUNCT
fis-1552	11	1	keywords	keyword	NOUN
fis-1552	11	2	.	.	PUNCT
fis-1552	12	1	multiaxial	multiaxial	ADJ
fis-1552	12	2	fatigue	fatigue	NOUN
fis-1552	12	3	criteria	criterion	NOUN
fis-1552	12	4	;	;	PUNCT
fis-1552	13	1	energy	energy	NOUN
fis-1552	13	2	;	;	PUNCT
fis-1552	13	3	crack	crack	VERB
fis-1552	13	4	growth	growth	NOUN
fis-1552	13	5	;	;	PUNCT
fis-1552	13	6	variance	variance	NOUN
fis-1552	13	7	method	method	NOUN
fis-1552	13	8	;	;	PUNCT
fis-1552	13	9	weight	weight	NOUN
fis-1552	13	10	function	function	NOUN
fis-1552	13	11	.	.	PUNCT
fis-1552	14	1	introduction	introduction	NOUN
fis-1552	14	2	redicting	redicte	VERB
fis-1552	14	3	service	service	NOUN
fis-1552	14	4	life	life	NOUN
fis-1552	14	5	of	of	ADP
fis-1552	14	6	different	different	ADJ
fis-1552	14	7	objects	object	NOUN
fis-1552	14	8	is	be	AUX
fis-1552	14	9	a	a	DET
fis-1552	14	10	very	very	ADV
fis-1552	14	11	important	important	ADJ
fis-1552	14	12	issue	issue	NOUN
fis-1552	14	13	for	for	ADP
fis-1552	14	14	modern	modern	ADJ
fis-1552	14	15	engineering	engineering	NOUN
fis-1552	14	16	.	.	PUNCT
fis-1552	15	1	wrong	wrong	ADJ
fis-1552	15	2	service	service	NOUN
fis-1552	15	3	life	life	NOUN
fis-1552	15	4	estimation	estimation	NOUN
fis-1552	15	5	may	may	AUX
fis-1552	15	6	result	result	VERB
fis-1552	15	7	in	in	ADP
fis-1552	15	8	accidents	accident	NOUN
fis-1552	15	9	and	and	CCONJ
fis-1552	15	10	disasters	disaster	NOUN
fis-1552	15	11	.	.	PUNCT
fis-1552	16	1	therefore	therefore	ADV
fis-1552	16	2	,	,	PUNCT
fis-1552	16	3	studies	study	NOUN
fis-1552	16	4	aimed	aim	VERB
fis-1552	16	5	to	to	PART
fis-1552	16	6	understand	understand	VERB
fis-1552	16	7	and	and	CCONJ
fis-1552	16	8	control	control	VERB
fis-1552	16	9	this	this	DET
fis-1552	16	10	phenomenon	phenomenon	NOUN
fis-1552	16	11	,	,	PUNCT
fis-1552	16	12	started	start	VERB
fis-1552	16	13	already	already	ADV
fis-1552	16	14	in	in	ADP
fis-1552	16	15	the	the	DET
fis-1552	16	16	19th	19th	ADJ
fis-1552	16	17	century	century	NOUN
fis-1552	16	18	,	,	PUNCT
fis-1552	16	19	are	be	AUX
fis-1552	16	20	continued	continue	VERB
fis-1552	16	21	today	today	NOUN
fis-1552	16	22	.	.	PUNCT
fis-1552	17	1	the	the	DET
fis-1552	17	2	multitude	multitude	NOUN
fis-1552	17	3	of	of	ADP
fis-1552	17	4	problems	problem	NOUN
fis-1552	17	5	connected	connect	VERB
fis-1552	17	6	with	with	ADP
fis-1552	17	7	it	it	PRON
fis-1552	17	8	suggests	suggest	VERB
fis-1552	17	9	that	that	SCONJ
fis-1552	17	10	scientists	scientist	NOUN
fis-1552	17	11	still	still	ADV
fis-1552	17	12	have	have	VERB
fis-1552	17	13	plenty	plenty	NOUN
fis-1552	17	14	of	of	ADP
fis-1552	17	15	work	work	NOUN
fis-1552	17	16	ahead	ahead	ADV
fis-1552	17	17	.	.	PUNCT
fis-1552	18	1	initially	initially	ADV
fis-1552	18	2	,	,	PUNCT
fis-1552	18	3	the	the	DET
fis-1552	18	4	scope	scope	NOUN
fis-1552	18	5	of	of	ADP
fis-1552	18	6	studies	study	NOUN
fis-1552	18	7	was	be	AUX
fis-1552	18	8	limited	limit	VERB
fis-1552	18	9	to	to	ADP
fis-1552	18	10	uniaxial	uniaxial	NOUN
fis-1552	18	11	,	,	PUNCT
fis-1552	18	12	constantamplitude	constantamplitude	VERB
fis-1552	18	13	issues	issue	NOUN
fis-1552	18	14	only	only	ADV
fis-1552	18	15	.	.	PUNCT
fis-1552	19	1	with	with	ADP
fis-1552	19	2	increasing	increase	VERB
fis-1552	19	3	knowledge	knowledge	NOUN
fis-1552	19	4	on	on	ADP
fis-1552	19	5	the	the	DET
fis-1552	19	6	phenomenon	phenomenon	NOUN
fis-1552	19	7	,	,	PUNCT
fis-1552	19	8	the	the	DET
fis-1552	19	9	interest	interest	NOUN
fis-1552	19	10	in	in	ADP
fis-1552	19	11	multiaxial	multiaxial	ADJ
fis-1552	19	12	fatigue	fatigue	NOUN
fis-1552	19	13	(	(	PUNCT
fis-1552	19	14	most	most	ADV
fis-1552	19	15	frequent	frequent	ADJ
fis-1552	19	16	in	in	ADP
fis-1552	19	17	engineering	engineering	NOUN
fis-1552	19	18	practice	practice	NOUN
fis-1552	19	19	)	)	PUNCT
fis-1552	19	20	was	be	AUX
fis-1552	19	21	growing	grow	VERB
fis-1552	19	22	.	.	PUNCT
fis-1552	20	1	at	at	ADP
fis-1552	20	2	the	the	DET
fis-1552	20	3	same	same	ADJ
fis-1552	20	4	time	time	NOUN
fis-1552	20	5	,	,	PUNCT
fis-1552	20	6	many	many	ADJ
fis-1552	20	7	stress	stress	NOUN
fis-1552	20	8	assessment	assessment	NOUN
fis-1552	20	9	criteria	criterion	NOUN
fis-1552	20	10	were	be	AUX
fis-1552	20	11	proposed	propose	VERB
fis-1552	20	12	.	.	PUNCT
fis-1552	21	1	another	another	DET
fis-1552	21	2	step	step	NOUN
fis-1552	21	3	in	in	ADP
fis-1552	21	4	the	the	DET
fis-1552	21	5	development	development	NOUN
fis-1552	21	6	involved	involve	VERB
fis-1552	21	7	attempts	attempt	NOUN
fis-1552	21	8	to	to	PART
fis-1552	21	9	assess	assess	VERB
fis-1552	21	10	life	life	NOUN
fis-1552	21	11	for	for	ADP
fis-1552	21	12	random	random	ADJ
fis-1552	21	13	loads	load	NOUN
fis-1552	21	14	.	.	PUNCT
fis-1552	22	1	this	this	DET
fis-1552	22	2	problem	problem	NOUN
fis-1552	22	3	was	be	AUX
fis-1552	22	4	explored	explore	VERB
fis-1552	22	5	by	by	ADP
fis-1552	22	6	professor	professor	NOUN
fis-1552	22	7	macha	macha	PROPN
fis-1552	22	8	as	as	ADV
fis-1552	22	9	well	well	ADV
fis-1552	22	10	[	[	X
fis-1552	22	11	14	14	NUM
fis-1552	22	12	]	]	PUNCT
fis-1552	22	13	.	.	PUNCT
fis-1552	23	1	he	he	PRON
fis-1552	23	2	started	start	VERB
fis-1552	23	3	his	his	PRON
fis-1552	23	4	work	work	NOUN
fis-1552	23	5	from	from	ADP
fis-1552	23	6	proposing	propose	VERB
fis-1552	23	7	mathematical	mathematical	ADJ
fis-1552	23	8	models	model	NOUN
fis-1552	23	9	to	to	PART
fis-1552	23	10	assess	assess	VERB
fis-1552	23	11	fatigue	fatigue	NOUN
fis-1552	23	12	life	life	NOUN
fis-1552	23	13	for	for	ADP
fis-1552	23	14	materials	material	NOUN
fis-1552	23	15	in	in	ADP
fis-1552	23	16	the	the	DET
fis-1552	23	17	conditions	condition	NOUN
fis-1552	23	18	of	of	ADP
fis-1552	23	19	random	random	ADJ
fis-1552	23	20	complex	complex	ADJ
fis-1552	23	21	stress	stress	NOUN
fis-1552	23	22	state	state	NOUN
fis-1552	23	23	,	,	PUNCT
fis-1552	23	24	where	where	SCONJ
fis-1552	23	25	besides	besides	SCONJ
fis-1552	23	26	stress	stress	NOUN
fis-1552	23	27	criteria	criterion	NOUN
fis-1552	23	28	he	he	PRON
fis-1552	23	29	demonstrated	demonstrate	VERB
fis-1552	23	30	the	the	DET
fis-1552	23	31	method	method	NOUN
fis-1552	23	32	for	for	ADP
fis-1552	23	33	determining	determine	VERB
fis-1552	23	34	critical	critical	ADJ
fis-1552	23	35	plane	plane	NOUN
fis-1552	23	36	position	position	NOUN
fis-1552	23	37	using	use	VERB
fis-1552	23	38	weight	weight	NOUN
fis-1552	23	39	functions	function	NOUN
fis-1552	23	40	.	.	PUNCT
fis-1552	24	1	further	further	ADJ
fis-1552	24	2	studies	study	NOUN
fis-1552	24	3	were	be	AUX
fis-1552	24	4	connected	connect	VERB
fis-1552	24	5	with	with	ADP
fis-1552	24	6	strain	strain	NOUN
fis-1552	24	7	and	and	CCONJ
fis-1552	24	8	energy	energy	NOUN
fis-1552	24	9	criteria	criterion	NOUN
fis-1552	24	10	,	,	PUNCT
fis-1552	24	11	and	and	CCONJ
fis-1552	24	12	methods	method	NOUN
fis-1552	24	13	used	use	VERB
fis-1552	24	14	to	to	ADP
fis-1552	24	15	p	p	PROPN
fis-1552	24	16	z.	z.	PROPN
fis-1552	24	17	marciniak	marciniak	PROPN
fis-1552	24	18	et	et	PROPN
fis-1552	24	19	alii	alii	PROPN
fis-1552	24	20	,	,	PUNCT
fis-1552	24	21	frattura	frattura	PROPN
fis-1552	24	22	ed	ed	PROPN
fis-1552	24	23	integrità	integrità	PROPN
fis-1552	24	24	strutturale	strutturale	PROPN
fis-1552	24	25	,	,	PUNCT
fis-1552	24	26	34	34	NUM
fis-1552	24	27	(	(	PUNCT
fis-1552	24	28	2015	2015	NUM
fis-1552	24	29	)	)	PUNCT
fis-1552	24	30	1	1	NUM
fis-1552	24	31	-	-	SYM
fis-1552	24	32	10	10	NUM
fis-1552	24	33	;	;	PUNCT
fis-1552	24	34	doi	doi	NOUN
fis-1552	24	35	:	:	PUNCT
fis-1552	24	36	10.3221	10.3221	NUM
fis-1552	24	37	/	/	SYM
fis-1552	24	38	igf	igf	PROPN
fis-1552	24	39	-	-	ADJ
fis-1552	24	40	esis.34.01	esis.34.01	ADJ
fis-1552	24	41	2	2	NUM
fis-1552	24	42	determine	determine	VERB
fis-1552	24	43	critical	critical	ADJ
fis-1552	24	44	plane	plane	NOUN
fis-1552	24	45	position	position	NOUN
fis-1552	24	46	.	.	PUNCT
fis-1552	25	1	many	many	ADJ
fis-1552	25	2	scientists	scientist	NOUN
fis-1552	25	3	became	become	VERB
fis-1552	25	4	interested	interested	ADJ
fis-1552	25	5	in	in	ADP
fis-1552	25	6	these	these	DET
fis-1552	25	7	studies	study	NOUN
fis-1552	25	8	,	,	PUNCT
fis-1552	25	9	which	which	PRON
fis-1552	25	10	resulted	result	VERB
fis-1552	25	11	in	in	ADP
fis-1552	25	12	numerous	numerous	ADJ
fis-1552	25	13	contacts	contact	NOUN
fis-1552	25	14	and	and	CCONJ
fis-1552	25	15	team	team	NOUN
fis-1552	25	16	work	work	NOUN
fis-1552	25	17	,	,	PUNCT
fis-1552	25	18	e.g.	e.g.	ADV
fis-1552	25	19	with	with	ADP
fis-1552	25	20	carpinteri	carpinteri	NOUN
fis-1552	25	21	[	[	X
fis-1552	25	22	5	5	NUM
fis-1552	25	23	,	,	PUNCT
fis-1552	25	24	6	6	NUM
fis-1552	25	25	]	]	PUNCT
fis-1552	25	26	,	,	PUNCT
fis-1552	25	27	sakane	sakane	NOUN
fis-1552	25	28	[	[	X
fis-1552	25	29	7	7	NUM
fis-1552	25	30	]	]	PUNCT
fis-1552	25	31	,	,	PUNCT
fis-1552	25	32	sonsino	sonsino	NOUN
fis-1552	26	1	[	[	X
fis-1552	26	2	8	8	NUM
fis-1552	26	3	]	]	PUNCT
fis-1552	26	4	,	,	PUNCT
fis-1552	26	5	dragon	dragon	NOUN
fis-1552	26	6	[	[	PUNCT
fis-1552	26	7	9	9	NUM
fis-1552	26	8	]	]	PUNCT
fis-1552	26	9	,	,	PUNCT
fis-1552	26	10	petit	petit	NOUN
fis-1552	27	1	[	[	X
fis-1552	27	2	9	9	NUM
fis-1552	27	3	]	]	PUNCT
fis-1552	27	4	,	,	PUNCT
fis-1552	27	5	and	and	CCONJ
fis-1552	27	6	others	other	NOUN
fis-1552	27	7	.	.	PUNCT
fis-1552	28	1	the	the	DET
fis-1552	28	2	purpose	purpose	NOUN
fis-1552	28	3	of	of	ADP
fis-1552	28	4	this	this	DET
fis-1552	28	5	study	study	NOUN
fis-1552	28	6	is	be	AUX
fis-1552	28	7	to	to	PART
fis-1552	28	8	present	present	VERB
fis-1552	28	9	academic	academic	ADJ
fis-1552	28	10	achievements	achievement	NOUN
fis-1552	28	11	of	of	ADP
fis-1552	28	12	professor	professor	PROPN
fis-1552	28	13	macha	macha	PROPN
fis-1552	28	14	.	.	PUNCT
fis-1552	29	1	mathematical	mathematical	ADJ
fis-1552	29	2	models	model	NOUN
fis-1552	29	3	and	and	CCONJ
fis-1552	29	4	their	their	PRON
fis-1552	29	5	experimental	experimental	ADJ
fis-1552	29	6	verification	verification	NOUN
fis-1552	29	7	ne	ne	PROPN
fis-1552	29	8	of	of	ADP
fis-1552	29	9	the	the	DET
fis-1552	29	10	first	first	ADJ
fis-1552	29	11	criteria	criterion	NOUN
fis-1552	29	12	proposed	propose	VERB
fis-1552	29	13	by	by	ADP
fis-1552	29	14	e.	e.	PROPN
fis-1552	29	15	macha	macha	PROPN
fis-1552	29	16	for	for	ADP
fis-1552	29	17	multiaxial	multiaxial	ADJ
fis-1552	29	18	random	random	ADJ
fis-1552	29	19	loads	load	NOUN
fis-1552	29	20	[	[	X
fis-1552	29	21	1	1	NUM
fis-1552	29	22	,	,	PUNCT
fis-1552	29	23	2	2	NUM
fis-1552	29	24	]	]	PUNCT
fis-1552	29	25	has	have	VERB
fis-1552	29	26	the	the	DET
fis-1552	29	27	following	follow	VERB
fis-1552	29	28	form	form	NOUN
fis-1552	29	29	:	:	PUNCT
fis-1552	29	30			ADJ
fis-1552	29	31	max	max	PROPN
fis-1552	29	32	(	(	PUNCT
fis-1552	29	33	)	)	PUNCT
fis-1552	29	34	(	(	PUNCT
fis-1552	29	35	)	)	PUNCT
fis-1552	30	1	ns	ns	NUM
fis-1552	30	2	n	n	ADP
fis-1552	30	3	t	t	PROPN
fis-1552	30	4	b	b	PROPN
fis-1552	30	5	t	t	PROPN
fis-1552	30	6	k	k	PROPN
fis-1552	30	7	t	t	PROPN
fis-1552	30	8	f	f	PROPN
fis-1552	30	9			VERB
fis-1552	30	10			PRON
fis-1552	30	11	(	(	PUNCT
fis-1552	30	12	1	1	NUM
fis-1552	30	13	)	)	PUNCT
fis-1552	30	14	where	where	SCONJ
fis-1552	30	15	(	(	PUNCT
fis-1552	30	16	)	)	PUNCT
fis-1552	30	17	ns	ns	NUM
fis-1552	30	18	t	t	PROPN
fis-1552	30	19	and	and	CCONJ
fis-1552	30	20	(	(	PUNCT
fis-1552	30	21	)	)	PUNCT
fis-1552	30	22	n	n	X
fis-1552	30	23	t	t	PROPN
fis-1552	30	24	are	be	AUX
fis-1552	30	25	:	:	PUNCT
fis-1552	30	26	shear	shear	ADJ
fis-1552	30	27	stress	stress	NOUN
fis-1552	30	28	and	and	CCONJ
fis-1552	30	29	normal	normal	ADJ
fis-1552	30	30	stress	stress	NOUN
fis-1552	30	31	in	in	ADP
fis-1552	30	32	fracture	fracture	PROPN
fis-1552	30	33	plane	plane	NOUN
fis-1552	30	34	,	,	PUNCT
fis-1552	30	35	respectively	respectively	ADV
fis-1552	30	36	;	;	PUNCT
fis-1552	30	37	and	and	CCONJ
fis-1552	30	38	b	b	X
fis-1552	30	39	,	,	PUNCT
fis-1552	30	40	k	k	PROPN
fis-1552	30	41	,	,	PUNCT
fis-1552	30	42	f	f	PROPN
fis-1552	30	43	–	–	PUNCT
fis-1552	30	44	constants	constant	NOUN
fis-1552	30	45	for	for	ADP
fis-1552	30	46	the	the	DET
fis-1552	30	47	selection	selection	NOUN
fis-1552	30	48	of	of	ADP
fis-1552	30	49	a	a	DET
fis-1552	30	50	given	give	VERB
fis-1552	30	51	criterion	criterion	NOUN
fis-1552	30	52	version	version	NOUN
fis-1552	30	53	.	.	PUNCT
fis-1552	31	1	initially	initially	ADV
fis-1552	31	2	,	,	PUNCT
fis-1552	31	3	in	in	ADP
fis-1552	31	4	this	this	DET
fis-1552	31	5	criterion	criterion	NOUN
fis-1552	31	6	fracture	fracture	NOUN
fis-1552	31	7	plane	plane	NOUN
fis-1552	31	8	was	be	AUX
fis-1552	31	9	regarded	regard	VERB
fis-1552	31	10	as	as	ADP
fis-1552	31	11	the	the	DET
fis-1552	31	12	critical	critical	ADJ
fis-1552	31	13	plane	plane	NOUN
fis-1552	31	14	.	.	PUNCT
fis-1552	32	1	however	however	SCONJ
fis-1552	32	2	subsequent	subsequent	ADJ
fis-1552	32	3	analyses	analysis	NOUN
fis-1552	32	4	make	make	VERB
fis-1552	32	5	it	it	PRON
fis-1552	32	6	possible	possible	ADJ
fis-1552	32	7	to	to	PART
fis-1552	32	8	observe	observe	VERB
fis-1552	32	9	that	that	SCONJ
fis-1552	32	10	this	this	DET
fis-1552	32	11	plane	plane	NOUN
fis-1552	32	12	changes	change	VERB
fis-1552	32	13	especially	especially	ADV
fis-1552	32	14	for	for	ADP
fis-1552	32	15	elastic	elastic	ADJ
fis-1552	32	16	-	-	PUNCT
fis-1552	32	17	plastic	plastic	NOUN
fis-1552	32	18	materials	material	NOUN
fis-1552	32	19	.	.	PUNCT
fis-1552	33	1	detailed	detailed	ADJ
fis-1552	33	2	criterion	criterion	NOUN
fis-1552	33	3	guidelines	guideline	NOUN
fis-1552	33	4	are	be	AUX
fis-1552	33	5	:	:	PUNCT
fis-1552	33	6	(	(	PUNCT
fis-1552	33	7	i	i	NOUN
fis-1552	33	8	)	)	PUNCT
fis-1552	33	9	fatigue	fatigue	NOUN
fis-1552	33	10	crack	crack	NOUN
fis-1552	33	11	is	be	AUX
fis-1552	33	12	generated	generate	VERB
fis-1552	33	13	(	(	PUNCT
fis-1552	33	14	caused	cause	VERB
fis-1552	33	15	)	)	PUNCT
fis-1552	33	16	by	by	ADP
fis-1552	33	17	the	the	DET
fis-1552	33	18	activity	activity	NOUN
fis-1552	33	19	of	of	ADP
fis-1552	33	20	normal	normal	ADJ
fis-1552	33	21	stresses	stress	NOUN
fis-1552	33	22	σn(t	σn(t	PRON
fis-1552	33	23	)	)	PUNCT
fis-1552	33	24	and	and	CCONJ
fis-1552	33	25	shear	shear	NOUN
fis-1552	33	26	stresses	stress	VERB
fis-1552	33	27	τns(t	τns(t	PROPN
fis-1552	33	28	)	)	PUNCT
fis-1552	33	29	in	in	ADP
fis-1552	33	30	the	the	DET
fis-1552	33	31	direction	direction	NOUN
fis-1552	33	32	s	s	VERB
fis-1552	33	33			NOUN
fis-1552	33	34	in	in	ADP
fis-1552	33	35	plane	plane	NOUN
fis-1552	33	36	with	with	ADP
fis-1552	33	37	normal	normal	ADJ
fis-1552	33	38	n	n	NOUN
fis-1552	33	39			NOUN
fis-1552	33	40	,	,	PUNCT
fis-1552	33	41	(	(	PUNCT
fis-1552	33	42	ii	ii	NOUN
fis-1552	33	43	)	)	PUNCT
fis-1552	33	44	direction	direction	NOUN
fis-1552	33	45	s	s	PART
fis-1552	33	46			NOUN
fis-1552	33	47	is	be	AUX
fis-1552	33	48	concurrent	concurrent	ADJ
fis-1552	33	49	with	with	ADP
fis-1552	33	50	average	average	ADJ
fis-1552	33	51	direction	direction	NOUN
fis-1552	33	52	of	of	ADP
fis-1552	33	53	shear	shear	NOUN
fis-1552	33	54	stresses	stress	NOUN
fis-1552	33	55	.	.	PUNCT
fis-1552	34	1	in	in	ADP
fis-1552	34	2	the	the	DET
fis-1552	34	3	criteria	criterion	NOUN
fis-1552	34	4	related	relate	VERB
fis-1552	34	5	to	to	ADP
fis-1552	34	6	critical	critical	ADJ
fis-1552	34	7	plane	plane	NOUN
fis-1552	34	8	it	it	PRON
fis-1552	34	9	is	be	AUX
fis-1552	34	10	very	very	ADV
fis-1552	34	11	important	important	ADJ
fis-1552	34	12	to	to	PART
fis-1552	34	13	determine	determine	VERB
fis-1552	34	14	critical	critical	ADJ
fis-1552	34	15	plane	plane	NOUN
fis-1552	34	16	position	position	NOUN
fis-1552	34	17	.	.	PUNCT
fis-1552	35	1	in	in	ADP
fis-1552	35	2	order	order	NOUN
fis-1552	35	3	to	to	PART
fis-1552	35	4	determine	determine	VERB
fis-1552	35	5	its	its	PRON
fis-1552	35	6	position	position	NOUN
fis-1552	35	7	,	,	PUNCT
fis-1552	35	8	it	it	PRON
fis-1552	35	9	was	be	AUX
fis-1552	35	10	proposed	propose	VERB
fis-1552	35	11	to	to	PART
fis-1552	35	12	apply	apply	VERB
fis-1552	35	13	the	the	DET
fis-1552	35	14	weight	weight	NOUN
fis-1552	35	15	function	function	NOUN
fis-1552	35	16	method	method	NOUN
fis-1552	35	17	.	.	PUNCT
fis-1552	36	1	the	the	DET
fis-1552	36	2	weight	weight	NOUN
fis-1552	36	3	function	function	NOUN
fis-1552	36	4	method	method	NOUN
fis-1552	36	5	involves	involve	VERB
fis-1552	36	6	finding	find	VERB
fis-1552	36	7	averaged	average	VERB
fis-1552	36	8	positions	position	NOUN
fis-1552	36	9	of	of	ADP
fis-1552	36	10	main	main	ADJ
fis-1552	36	11	axes	axis	NOUN
fis-1552	36	12	directions	direction	NOUN
fis-1552	36	13	through	through	ADP
fis-1552	36	14	properly	properly	ADV
fis-1552	36	15	selected	select	VERB
fis-1552	36	16	weight	weight	NOUN
fis-1552	36	17	functions	function	NOUN
fis-1552	36	18	wk	wk	ADP
fis-1552	36	19	.	.	NOUN
fis-1552	36	20	1	1	NUM
fis-1552	36	21	1	1	NUM
fis-1552	36	22	1	1	NUM
fis-1552	36	23	1ˆ	1ˆ	NUM
fis-1552	36	24	cos	cos	PROPN
fis-1552	36	25	l	l	PROPN
fis-1552	36	26	k	k	PROPN
fis-1552	37	1	k	k	PROPN
fis-1552	37	2	k	k	PROPN
fis-1552	37	3	l	l	PROPN
fis-1552	37	4	w	w	PROPN
fis-1552	37	5	w	w	NOUN
fis-1552	37	6			X
fis-1552	37	7			PROPN
fis-1552	37	8			PROPN
fis-1552	37	9			NOUN
fis-1552	37	10	,	,	PUNCT
fis-1552	37	11	2	2	NUM
fis-1552	37	12	2	2	NUM
fis-1552	37	13	1	1	NUM
fis-1552	37	14	1	1	NUM
fis-1552	37	15	ˆ	ˆ	NOUN
fis-1552	37	16	cos	cos	PROPN
fis-1552	37	17	l	l	PROPN
fis-1552	37	18	k	k	PROPN
fis-1552	38	1	k	k	PROPN
fis-1552	39	1	k	k	PROPN
fis-1552	39	2	m	m	PROPN
fis-1552	39	3	w	w	PROPN
fis-1552	39	4	w	w	PROPN
fis-1552	39	5			PROPN
fis-1552	39	6			NUM
fis-1552	39	7			PROPN
fis-1552	39	8			NOUN
fis-1552	39	9	,	,	PUNCT
fis-1552	39	10	3	3	NUM
fis-1552	39	11	3	3	NUM
fis-1552	39	12	1	1	NUM
fis-1552	39	13	1	1	NUM
fis-1552	39	14	ˆ	ˆ	NOUN
fis-1552	39	15	cos	cos	PROPN
fis-1552	39	16	l	l	PROPN
fis-1552	39	17	k	k	PROPN
fis-1552	39	18	k	k	PROPN
fis-1552	39	19	k	k	PROPN
fis-1552	40	1	n	n	PROPN
fis-1552	40	2	w	w	PROPN
fis-1552	40	3	w	w	PROPN
fis-1552	40	4			NUM
fis-1552	41	1			NUM
fis-1552	41	2			PROPN
fis-1552	41	3			NOUN
fis-1552	41	4	,	,	PUNCT
fis-1552	41	5	(	(	PUNCT
fis-1552	41	6	2	2	X
fis-1552	41	7	)	)	PUNCT
fis-1552	42	1	where	where	SCONJ
fis-1552	42	2	:	:	PUNCT
fis-1552	42	3	1	1	NUM
fis-1552	42	4	l	l	NOUN
fis-1552	42	5	k	k	PROPN
fis-1552	42	6	k	k	PROPN
fis-1552	42	7	w	w	PROPN
fis-1552	42	8	w	w	PROPN
fis-1552	42	9			NUM
fis-1552	42	10			PROPN
fis-1552	42	11	sum	sum	NOUN
fis-1552	42	12	of	of	ADP
fis-1552	42	13	weights	weight	NOUN
fis-1552	42	14	,	,	PUNCT
fis-1552	42	15	l	l	NOUN
fis-1552	42	16	–	–	PUNCT
fis-1552	42	17	number	number	NOUN
fis-1552	42	18	of	of	ADP
fis-1552	42	19	averages	average	NOUN
fis-1552	42	20	,	,	PUNCT
fis-1552	42	21	1	1	PROPN
fis-1552	42	22	,	,	PUNCT
fis-1552	42	23	β2	β2	NOUN
fis-1552	42	24	,	,	PUNCT
fis-1552	42	25	3	3	ADP
fis-1552	42	26	–	–	PUNCT
fis-1552	42	27	angles	angle	NOUN
fis-1552	42	28	between	between	ADP
fis-1552	42	29	main	main	ADJ
fis-1552	42	30	stresses	stress	NOUN
fis-1552	42	31	and	and	CCONJ
fis-1552	42	32	axes	axis	NOUN
fis-1552	42	33	in	in	ADP
fis-1552	42	34	the	the	DET
fis-1552	42	35	cartesian	cartesian	ADJ
fis-1552	42	36	coordinates	coordinate	NOUN
fis-1552	42	37	,	,	PUNCT
fis-1552	42	38	(	(	PUNCT
fis-1552	42	39	1	1	X
fis-1552	42	40	,	,	PUNCT
fis-1552	42	41	x	x	NOUN
fis-1552	42	42	)	)	PUNCT
fis-1552	42	43	,	,	PUNCT
fis-1552	42	44	(	(	PUNCT
fis-1552	42	45	2	2	ADP
fis-1552	42	46	,	,	PUNCT
fis-1552	42	47	y	y	PROPN
fis-1552	42	48	)	)	PUNCT
fis-1552	42	49	,	,	PUNCT
fis-1552	42	50	(	(	PUNCT
fis-1552	42	51	3	3	PROPN
fis-1552	42	52	,	,	PUNCT
fis-1552	42	53	z	z	NOUN
fis-1552	42	54	)	)	PUNCT
fis-1552	42	55	,	,	PUNCT
fis-1552	42	56	respectively	respectively	ADV
fis-1552	42	57	then	then	ADV
fis-1552	42	58	,	,	PUNCT
fis-1552	42	59	critical	critical	ADJ
fis-1552	42	60	plane	plane	NOUN
fis-1552	42	61	position	position	NOUN
fis-1552	42	62	is	be	AUX
fis-1552	42	63	being	be	AUX
fis-1552	42	64	determined	determine	VERB
fis-1552	42	65	relative	relative	ADJ
fis-1552	42	66	to	to	ADP
fis-1552	42	67	these	these	DET
fis-1552	42	68	averaged	average	VERB
fis-1552	42	69	directions	direction	NOUN
fis-1552	42	70	.	.	PUNCT
fis-1552	43	1	6	6	NUM
fis-1552	43	2	weight	weight	NOUN
fis-1552	43	3	functions	function	NOUN
fis-1552	43	4	are	be	AUX
fis-1552	43	5	demonstrated	demonstrate	VERB
fis-1552	43	6	in	in	ADP
fis-1552	43	7	the	the	DET
fis-1552	43	8	study	study	NOUN
fis-1552	43	9	[	[	X
fis-1552	43	10	1	1	NUM
fis-1552	43	11	]	]	X
fis-1552	43	12	:	:	PUNCT
fis-1552	43	13	weight	weight	NOUN
fis-1552	43	14	i	i	PRON
fis-1552	43	15	–	–	PUNCT
fis-1552	43	16	wk	wk	X
fis-1552	43	17	=	=	SYM
fis-1552	43	18	1	1	NUM
fis-1552	43	19	–	–	PUNCT
fis-1552	43	20	it	it	PRON
fis-1552	43	21	is	be	AUX
fis-1552	43	22	assumed	assume	VERB
fis-1552	43	23	that	that	SCONJ
fis-1552	43	24	each	each	DET
fis-1552	43	25	position	position	NOUN
fis-1552	43	26	of	of	ADP
fis-1552	43	27	the	the	DET
fis-1552	43	28	main	main	ADJ
fis-1552	43	29	axes	axis	NOUN
fis-1552	43	30	has	have	VERB
fis-1552	43	31	the	the	DET
fis-1552	43	32	same	same	ADJ
fis-1552	43	33	effect	effect	NOUN
fis-1552	43	34	on	on	ADP
fis-1552	43	35	the	the	DET
fis-1552	43	36	critical	critical	ADJ
fis-1552	43	37	plane	plane	NOUN
fis-1552	43	38	position	position	NOUN
fis-1552	43	39	,	,	PUNCT
fis-1552	43	40	weight	weight	NOUN
fis-1552	43	41	ii	ii	PROPN
fis-1552	43	42	–	–	PUNCT
fis-1552	43	43	1	1	NUM
fis-1552	43	44	1min	1min	NUM
fis-1552	43	45	1max	1max	NUM
fis-1552	43	46	1min	1min	NUM
fis-1552	43	47	k	k	PROPN
fis-1552	43	48	kw	kw	PROPN
fis-1552	43	49			PROPN
fis-1552	43	50			X
fis-1552	43	51			X
fis-1552	43	52			X
fis-1552	43	53			NOUN
fis-1552	43	54			PROPN
fis-1552	43	55			PROPN
fis-1552	43	56	for	for	ADP
fis-1552	43	57	k	k	PROPN
fis-1552	43	58	=	=	SYM
fis-1552	43	59	1	1	NUM
fis-1552	43	60	,	,	PUNCT
fis-1552	43	61	2,	2,	NUM
fis-1552	43	62	…	…	PUNCT
fis-1552	43	63	,n	,n	NOUN
fis-1552	43	64	–	–	PUNCT
fis-1552	43	65	this	this	DET
fis-1552	43	66	weight	weight	NOUN
fis-1552	43	67	reduces	reduce	VERB
fis-1552	43	68	the	the	DET
fis-1552	43	69	impact	impact	NOUN
fis-1552	43	70	of	of	ADP
fis-1552	43	71	maximum	maximum	ADJ
fis-1552	43	72	main	main	ADJ
fis-1552	43	73	stress	stress	NOUN
fis-1552	43	74	1(t	1(t	NOUN
fis-1552	43	75	)	)	PUNCT
fis-1552	43	76	value	value	NOUN
fis-1552	43	77	on	on	ADP
fis-1552	43	78	the	the	DET
fis-1552	43	79	critical	critical	ADJ
fis-1552	43	80	plane	plane	NOUN
fis-1552	43	81	position	position	NOUN
fis-1552	43	82	,	,	PUNCT
fis-1552	43	83	weight	weight	NOUN
fis-1552	43	84	iii	iii	X
fis-1552	43	85	–	–	PUNCT
fis-1552	43	86	1	1	NUM
fis-1552	43	87	1	1	NUM
fis-1552	43	88	0	0	NUM
fis-1552	43	89	0	0	NUM
fis-1552	43	90	1	1	NUM
fis-1552	43	91	1	1	NUM
fis-1552	43	92	k	k	NOUN
fis-1552	43	93	af	af	PROPN
fis-1552	43	94	k	k	PROPN
fis-1552	43	95	k	k	X
fis-1552	43	96	af	af	VERB
fis-1552	43	97	for	for	ADP
fis-1552	43	98	a	a	DET
fis-1552	43	99	w	w	NOUN
fis-1552	43	100	a	a	PRON
fis-1552	43	101	for	for	ADP
fis-1552	43	102	a	a	DET
fis-1552	43	103			ADJ
fis-1552	43	104			X
fis-1552	43	105			X
fis-1552	43	106			PROPN
fis-1552	43	107			PROPN
fis-1552	43	108			NOUN
fis-1552	43	109			PROPN
fis-1552	43	110			PROPN
fis-1552	43	111			VERB
fis-1552	43	112			NUM
fis-1552	43	113			NUM
fis-1552	43	114			NOUN
fis-1552	43	115	for	for	ADP
fis-1552	43	116	k	k	PROPN
fis-1552	43	117	=	=	SYM
fis-1552	43	118	1	1	NUM
fis-1552	43	119	,	,	PUNCT
fis-1552	43	120	2,	2,	NUM
fis-1552	43	121	…	…	PUNCT
fis-1552	43	122	,n	,n	NOUN
fis-1552	43	123	–	–	PUNCT
fis-1552	43	124	according	accord	VERB
fis-1552	43	125	to	to	ADP
fis-1552	43	126	this	this	DET
fis-1552	43	127	weight	weight	NOUN
fis-1552	43	128	,	,	PUNCT
fis-1552	43	129	only	only	ADV
fis-1552	43	130	those	those	DET
fis-1552	43	131	positions	position	NOUN
fis-1552	43	132	of	of	ADP
fis-1552	43	133	main	main	ADJ
fis-1552	43	134	axes	axis	NOUN
fis-1552	43	135	are	be	AUX
fis-1552	43	136	averaged	average	VERB
fis-1552	43	137	,	,	PUNCT
fis-1552	43	138	for	for	ADP
fis-1552	43	139	which	which	PRON
fis-1552	43	140	maximum	maximum	ADJ
fis-1552	43	141	stress	stress	NOUN
fis-1552	43	142	value	value	NOUN
fis-1552	43	143	is	be	AUX
fis-1552	43	144	1(t	1(t	PRON
fis-1552	43	145	)	)	PUNCT
fis-1552	43	146			NUM
fis-1552	43	147	a·f	a·f	PROPN
fis-1552	43	148	,	,	PUNCT
fis-1552	43	149	where	where	SCONJ
fis-1552	43	150	f	f	PROPN
fis-1552	43	151	is	be	AUX
fis-1552	43	152	fatigue	fatigue	NOUN
fis-1552	43	153	limit	limit	NOUN
fis-1552	43	154	,	,	PUNCT
fis-1552	43	155	weight	weight	NOUN
fis-1552	43	156	iv	iv	NUM
fis-1552	43	157	–	–	PUNCT
fis-1552	43	158	1	1	NUM
fis-1552	43	159	1	1	NUM
fis-1552	43	160	0	0	NUM
fis-1552	43	161	1	1	NUM
fis-1552	43	162	k	k	NOUN
fis-1552	43	163	e	e	PROPN
fis-1552	43	164	k	k	PROPN
fis-1552	43	165	k	k	PROPN
fis-1552	43	166	e	e	PROPN
fis-1552	43	167	for	for	ADP
fis-1552	43	168	r	r	PROPN
fis-1552	43	169	w	w	NOUN
fis-1552	43	170	for	for	ADP
fis-1552	43	171	r	r	NOUN
fis-1552	43	172			PROPN
fis-1552	43	173			NOUN
fis-1552	43	174			PROPN
fis-1552	43	175			NOUN
fis-1552	43	176			PROPN
fis-1552	43	177			NOUN
fis-1552	43	178			PROPN
fis-1552	43	179			NUM
fis-1552	43	180			NUM
fis-1552	43	181			NUM
fis-1552	43	182			NOUN
fis-1552	43	183	for	for	ADP
fis-1552	43	184	k	k	PROPN
fis-1552	43	185	=	=	SYM
fis-1552	43	186	1	1	NUM
fis-1552	43	187	,	,	PUNCT
fis-1552	43	188	2,	2,	NUM
fis-1552	43	189	…	…	PUNCT
fis-1552	43	190	,n	,n	NOUN
fis-1552	43	191	–	–	PUNCT
fis-1552	43	192	only	only	ADV
fis-1552	43	193	those	those	DET
fis-1552	43	194	positions	position	NOUN
fis-1552	43	195	of	of	ADP
fis-1552	43	196	main	main	ADJ
fis-1552	43	197	axes	axis	NOUN
fis-1552	43	198	are	be	AUX
fis-1552	43	199	averaged	average	VERB
fis-1552	43	200	,	,	PUNCT
fis-1552	43	201	for	for	ADP
fis-1552	43	202	which	which	PRON
fis-1552	43	203	maximum	maximum	ADJ
fis-1552	43	204	stress	stress	NOUN
fis-1552	43	205	value	value	NOUN
fis-1552	43	206	1(t	1(t	PRON
fis-1552	43	207	)	)	PUNCT
fis-1552	43	208	is	be	AUX
fis-1552	43	209	higher	high	ADJ
fis-1552	43	210	than	than	ADP
fis-1552	43	211	product	product	NOUN
fis-1552	43	212	of	of	ADP
fis-1552	43	213	poisson	poisson	NOUN
fis-1552	43	214	’s	’s	PART
fis-1552	43	215	ratio	ratio	NOUN
fis-1552	43	216	and	and	CCONJ
fis-1552	43	217	yield	yield	NOUN
fis-1552	43	218	point	point	NOUN
fis-1552	43	219	,	,	PUNCT
fis-1552	43	220	o	o	NOUN
fis-1552	43	221	z.	z.	PROPN
fis-1552	43	222	marciniak	marciniak	PROPN
fis-1552	43	223	et	et	PROPN
fis-1552	43	224	alii	alii	PROPN
fis-1552	43	225	,	,	PUNCT
fis-1552	43	226	frattura	frattura	PROPN
fis-1552	43	227	ed	ed	PROPN
fis-1552	43	228	integrità	integrità	PROPN
fis-1552	43	229	strutturale	strutturale	PROPN
fis-1552	43	230	,	,	PUNCT
fis-1552	43	231	34	34	NUM
fis-1552	43	232	(	(	PUNCT
fis-1552	43	233	2015	2015	NUM
fis-1552	43	234	)	)	PUNCT
fis-1552	43	235	1	1	NUM
fis-1552	43	236	-	-	SYM
fis-1552	43	237	10	10	NUM
fis-1552	43	238	;	;	PUNCT
fis-1552	43	239	doi	doi	NOUN
fis-1552	43	240	:	:	PUNCT
fis-1552	43	241	10.3221	10.3221	NUM
fis-1552	43	242	/	/	SYM
fis-1552	43	243	igf	igf	PROPN
fis-1552	43	244	-	-	ADJ
fis-1552	43	245	esis.34.01	esis.34.01	NOUN
fis-1552	43	246	3	3	NUM
fis-1552	43	247	weight	weight	NOUN
fis-1552	43	248	v	v	NOUN
fis-1552	43	249	–	–	PUNCT
fis-1552	43	250	1	1	NUM
fis-1552	43	251	1	1	NUM
fis-1552	43	252	1	1	NUM
fis-1552	43	253	max	max	PROPN
fis-1552	43	254	1min	1min	NUM
fis-1552	44	1	10	10	NUM
fis-1552	45	1	k	k	NOUN
fis-1552	45	2	f	f	X
fis-1552	46	1	k	k	NOUN
fis-1552	46	2	af	af	PROPN
fis-1552	47	1	k	k	PROPN
fis-1552	47	2	k	k	PROPN
fis-1552	47	3	k	k	X
fis-1552	47	4	af	af	VERB
fis-1552	47	5	a	a	PRON
fis-1552	47	6	for	for	ADP
fis-1552	47	7	a	a	DET
fis-1552	47	8	w	w	NOUN
fis-1552	47	9	for	for	ADP
fis-1552	47	10	a	a	DET
fis-1552	47	11			ADJ
fis-1552	47	12			X
fis-1552	47	13			X
fis-1552	47	14			X
fis-1552	47	15			X
fis-1552	47	16			X
fis-1552	47	17			X
fis-1552	47	18			PROPN
fis-1552	47	19			NOUN
fis-1552	47	20			PROPN
fis-1552	47	21			PROPN
fis-1552	47	22			NOUN
fis-1552	48	1			NUM
fis-1552	48	2			NUM
fis-1552	48	3			NUM
fis-1552	48	4			PROPN
fis-1552	48	5			PROPN
fis-1552	48	6	–	–	PUNCT
fis-1552	48	7	this	this	DET
fis-1552	48	8	weight	weight	NOUN
fis-1552	48	9	was	be	AUX
fis-1552	48	10	developed	develop	VERB
fis-1552	48	11	as	as	ADP
fis-1552	48	12	a	a	DET
fis-1552	48	13	result	result	NOUN
fis-1552	48	14	of	of	ADP
fis-1552	48	15	combining	combine	VERB
fis-1552	48	16	weights	weight	NOUN
fis-1552	48	17	ii	ii	PROPN
fis-1552	48	18	and	and	CCONJ
fis-1552	48	19	iii	iii	PROPN
fis-1552	48	20	,	,	PUNCT
fis-1552	48	21	weight	weight	NOUN
fis-1552	48	22	vi	vi	PROPN
fis-1552	48	23	–	–	PUNCT
fis-1552	48	24	1	1	NUM
fis-1552	48	25	1	1	NUM
fis-1552	48	26	10	10	NUM
fis-1552	48	27	m	m	NOUN
fis-1552	48	28	k	k	X
fis-1552	49	1	k	k	X
fis-1552	49	2	af	af	PROPN
fis-1552	49	3	f	f	PROPN
fis-1552	49	4	k	k	PROPN
fis-1552	49	5	k	k	X
fis-1552	49	6	af	af	VERB
fis-1552	49	7	for	for	ADP
fis-1552	49	8	a	a	DET
fis-1552	49	9	a	a	DET
fis-1552	49	10	w	w	NOUN
fis-1552	49	11	for	for	ADP
fis-1552	49	12	a	a	DET
fis-1552	49	13			ADJ
fis-1552	49	14			X
fis-1552	49	15			X
fis-1552	49	16			X
fis-1552	49	17			X
fis-1552	49	18			X
fis-1552	49	19			NUM
fis-1552	49	20			PROPN
fis-1552	49	21			NUM
fis-1552	49	22			NUM
fis-1552	49	23			NUM
fis-1552	49	24			NOUN
fis-1552	49	25			PROPN
fis-1552	49	26			PROPN
fis-1552	49	27			NUM
fis-1552	49	28			NUM
fis-1552	49	29			NUM
fis-1552	49	30			PROPN
fis-1552	49	31			PROPN
fis-1552	49	32	–	–	PUNCT
fis-1552	49	33	in	in	ADP
fis-1552	49	34	this	this	DET
fis-1552	49	35	proposal	proposal	NOUN
fis-1552	49	36	only	only	ADV
fis-1552	49	37	those	those	DET
fis-1552	49	38	positions	position	NOUN
fis-1552	49	39	of	of	ADP
fis-1552	49	40	main	main	ADJ
fis-1552	49	41	axes	axis	NOUN
fis-1552	49	42	are	be	AUX
fis-1552	49	43	taken	take	VERB
fis-1552	49	44	for	for	ADP
fis-1552	49	45	averaging	averaging	NOUN
fis-1552	49	46	,	,	PUNCT
fis-1552	49	47	in	in	ADP
fis-1552	49	48	which	which	PRON
fis-1552	49	49	1(t	1(t	X
fis-1552	49	50	)	)	PUNCT
fis-1552	49	51	is	be	AUX
fis-1552	49	52	higher	high	ADJ
fis-1552	49	53	than	than	ADP
fis-1552	49	54	fatigue	fatigue	NOUN
fis-1552	49	55	limit	limit	NOUN
fis-1552	49	56	fraction	fraction	NOUN
fis-1552	49	57	,	,	PUNCT
fis-1552	49	58	while	while	SCONJ
fis-1552	49	59	their	their	PRON
fis-1552	49	60	share	share	NOUN
fis-1552	49	61	is	be	AUX
fis-1552	49	62	in	in	ADP
fis-1552	49	63	exponential	exponential	ADJ
fis-1552	49	64	function	function	NOUN
fis-1552	49	65	dependent	dependent	ADJ
fis-1552	49	66	on	on	ADP
fis-1552	49	67	wöhler	wöhl	ADJ
fis-1552	49	68	curve	curve	NOUN
fis-1552	49	69	inclination	inclination	NOUN
fis-1552	49	70	.	.	PUNCT
fis-1552	50	1	however	however	ADV
fis-1552	50	2	,	,	PUNCT
fis-1552	50	3	the	the	DET
fis-1552	50	4	selection	selection	NOUN
fis-1552	50	5	of	of	ADP
fis-1552	50	6	proper	proper	ADJ
fis-1552	50	7	angles	angle	NOUN
fis-1552	50	8	for	for	ADP
fis-1552	50	9	averaging	average	VERB
fis-1552	50	10	creates	create	VERB
fis-1552	50	11	problems	problem	NOUN
fis-1552	50	12	,	,	PUNCT
fis-1552	50	13	and	and	CCONJ
fis-1552	50	14	there	there	PRON
fis-1552	50	15	are	be	VERB
fis-1552	50	16	no	no	DET
fis-1552	50	17	physical	physical	ADJ
fis-1552	50	18	guidelines	guideline	NOUN
fis-1552	50	19	,	,	PUNCT
fis-1552	50	20	which	which	PRON
fis-1552	50	21	angles	angle	VERB
fis-1552	50	22	should	should	AUX
fis-1552	50	23	be	be	AUX
fis-1552	50	24	averaged	average	VERB
fis-1552	50	25	.	.	PUNCT
fis-1552	51	1	the	the	DET
fis-1552	51	2	issue	issue	NOUN
fis-1552	51	3	of	of	ADP
fis-1552	51	4	averaging	average	VERB
fis-1552	51	5	proper	proper	ADJ
fis-1552	51	6	angles	angle	NOUN
fis-1552	51	7	is	be	AUX
fis-1552	51	8	discussed	discuss	VERB
fis-1552	51	9	in	in	ADP
fis-1552	51	10	the	the	DET
fis-1552	51	11	study	study	NOUN
fis-1552	51	12	[	[	X
fis-1552	51	13	10	10	NUM
fis-1552	51	14	]	]	PUNCT
fis-1552	51	15	,	,	PUNCT
fis-1552	51	16	where	where	SCONJ
fis-1552	51	17	direction	direction	NOUN
fis-1552	51	18	cosines	cosine	NOUN
fis-1552	51	19	were	be	AUX
fis-1552	51	20	made	make	VERB
fis-1552	51	21	dependent	dependent	ADJ
fis-1552	51	22	on	on	ADP
fis-1552	51	23	euler	euler	NOUN
fis-1552	51	24	angles	angle	NOUN
fis-1552	51	25	.	.	PUNCT
fis-1552	52	1	matrix	matrix	NOUN
fis-1552	52	2	of	of	ADP
fis-1552	52	3	direction	direction	NOUN
fis-1552	52	4	cosines	cosine	NOUN
fis-1552	52	5	defined	define	VERB
fis-1552	52	6	in	in	ADP
fis-1552	52	7	this	this	DET
fis-1552	52	8	way	way	NOUN
fis-1552	52	9	is	be	AUX
fis-1552	52	10	expressed	express	VERB
fis-1552	52	11	in	in	ADP
fis-1552	52	12	the	the	DET
fis-1552	52	13	following	follow	VERB
fis-1552	52	14	form	form	NOUN
fis-1552	52	15	cos	cos	PROPN
fis-1552	52	16	cos	cos	PROPN
fis-1552	52	17	cos	cos	PROPN
fis-1552	52	18	sin	sin	PROPN
fis-1552	52	19	sin	sin	PROPN
fis-1552	52	20	cos	cos	PROPN
fis-1552	52	21	cos	cos	PROPN
fis-1552	52	22	sin	sin	PROPN
fis-1552	52	23	sin	sin	PROPN
fis-1552	52	24	cos	cos	PROPN
fis-1552	52	25	cos	cos	PROPN
fis-1552	52	26	sin	sin	PROPN
fis-1552	52	27	sin	sin	PROPN
fis-1552	52	28	cos	cos	PROPN
fis-1552	52	29	cos	cos	PROPN
fis-1552	52	30	cos	cos	PROPN
fis-1552	52	31	sin	sin	PROPN
fis-1552	52	32	sin	sin	PROPN
fis-1552	52	33	cos	cos	PROPN
fis-1552	52	34	sin	sin	PROPN
fis-1552	52	35	cos	cos	PROPN
fis-1552	52	36	cos	cos	PROPN
fis-1552	52	37	sin	sin	PROPN
fis-1552	52	38	sin	sin	NOUN
fis-1552	52	39	sin	sin	PROPN
fis-1552	52	40	cos	cos	ADP
fis-1552	52	41	sin	sin	PROPN
fis-1552	52	42	sin	sin	NOUN
fis-1552	52	43	cos	cos	ADP
fis-1552	52	44			PROPN
fis-1552	52	45			X
fis-1552	52	46			NUM
fis-1552	52	47			PROPN
fis-1552	52	48			NOUN
fis-1552	52	49			PROPN
fis-1552	52	50			X
fis-1552	52	51			NOUN
fis-1552	52	52			PROPN
fis-1552	52	53			NOUN
fis-1552	52	54			ADJ
fis-1552	52	55			X
fis-1552	52	56			PROPN
fis-1552	52	57			PROPN
fis-1552	52	58			NUM
fis-1552	52	59			PROPN
fis-1552	52	60			NOUN
fis-1552	52	61			PROPN
fis-1552	52	62			X
fis-1552	52	63			NOUN
fis-1552	52	64			PROPN
fis-1552	52	65			NOUN
fis-1552	52	66			PROPN
fis-1552	52	67			PROPN
fis-1552	52	68			PROPN
fis-1552	53	1			NUM
fis-1552	54	1			PROPN
fis-1552	55	1			NUM
fis-1552	55	2			PROPN
fis-1552	55	3			PROPN
fis-1552	55	4			PROPN
fis-1552	55	5			NOUN
fis-1552	55	6			NOUN
fis-1552	55	7			X
fis-1552	55	8			X
fis-1552	55	9			NOUN
fis-1552	55	10			PROPN
fis-1552	55	11			PROPN
fis-1552	55	12			NOUN
fis-1552	55	13			PROPN
fis-1552	55	14			PROPN
fis-1552	55	15	.	.	PUNCT
fis-1552	56	1	(	(	PUNCT
fis-1552	56	2	3	3	X
fis-1552	56	3	)	)	PUNCT
fis-1552	56	4	nevertheless	nevertheless	ADV
fis-1552	56	5	,	,	PUNCT
fis-1552	56	6	some	some	DET
fis-1552	56	7	transformations	transformation	NOUN
fis-1552	56	8	are	be	AUX
fis-1552	56	9	required	require	VERB
fis-1552	56	10	in	in	ADP
fis-1552	56	11	order	order	NOUN
fis-1552	56	12	to	to	PART
fis-1552	56	13	obtain	obtain	VERB
fis-1552	56	14	values	value	NOUN
fis-1552	56	15	of	of	ADP
fis-1552	56	16	euler	euler	NOUN
fis-1552	56	17	angles	angle	NOUN
fis-1552	56	18	.	.	PUNCT
fis-1552	57	1	the	the	DET
fis-1552	57	2	first	first	ADJ
fis-1552	57	3	step	step	NOUN
fis-1552	57	4	involves	involve	VERB
fis-1552	57	5	calculation	calculation	NOUN
fis-1552	57	6	of	of	ADP
fis-1552	57	7	the	the	DET
fis-1552	57	8	quantity	quantity	NOUN
fis-1552	57	9	:	:	PUNCT
fis-1552	57	10			NOUN
fis-1552	57	11	1	1	ADJ
fis-1552	57	12	2	2	NUM
fis-1552	57	13	3	3	NUM
fis-1552	57	14	1	1	NUM
fis-1552	57	15	arccos	arcco	NOUN
fis-1552	57	16	1	1	NUM
fis-1552	57	17	2	2	NUM
fis-1552	57	18	l	l	NOUN
fis-1552	57	19	m	m	NOUN
fis-1552	57	20	n	n	NOUN
fis-1552	57	21			PROPN
fis-1552	57	22			PUNCT
fis-1552	57	23			PUNCT
fis-1552	57	24			PROPN
fis-1552	57	25	,	,	PUNCT
fis-1552	57	26	3	3	NUM
fis-1552	57	27	2	2	NUM
fis-1552	57	28	1	1	NUM
fis-1552	57	29	2sin	2sin	NUM
fis-1552	57	30	m	m	PROPN
fis-1552	57	31	n	n	PRON
fis-1552	57	32	u	u	NOUN
fis-1552	57	33			AUX
fis-1552	57	34			VERB
fis-1552	57	35			PRON
fis-1552	57	36	,	,	PUNCT
fis-1552	57	37	1	1	NUM
fis-1552	57	38	3	3	NUM
fis-1552	57	39	2	2	NUM
fis-1552	57	40	2sin	2sin	NUM
fis-1552	57	41	n	n	PRON
fis-1552	57	42	l	l	NOUN
fis-1552	57	43	u	u	NOUN
fis-1552	57	44			AUX
fis-1552	57	45			VERB
fis-1552	57	46			PRON
fis-1552	57	47	,	,	PUNCT
fis-1552	57	48	2	2	NUM
fis-1552	57	49	1	1	NUM
fis-1552	57	50	3	3	NUM
fis-1552	57	51	2sin	2sin	NUM
fis-1552	57	52	l	l	NOUN
fis-1552	57	53	m	m	AUX
fis-1552	57	54	u	u	NOUN
fis-1552	57	55			AUX
fis-1552	57	56			VERB
fis-1552	57	57			PRON
fis-1552	57	58	.	.	PUNCT
fis-1552	58	1	(	(	PUNCT
fis-1552	58	2	4	4	NUM
fis-1552	58	3	)	)	PUNCT
fis-1552	58	4	then	then	ADV
fis-1552	58	5	,	,	PUNCT
fis-1552	58	6	euler	euler	PROPN
fis-1552	58	7	rodriguez	rodriguez	NOUN
fis-1552	58	8	parameters	parameter	NOUN
fis-1552	58	9	are	be	AUX
fis-1552	58	10	used	use	VERB
fis-1552	58	11	:	:	PUNCT
fis-1552	58	12	1	1	NUM
fis-1552	58	13	sin	sin	NOUN
fis-1552	58	14	2	2	NUM
fis-1552	58	15	u	u	NOUN
fis-1552	58	16			ADP
fis-1552	58	17			PRON
fis-1552	58	18	,	,	PUNCT
fis-1552	58	19	2	2	NUM
fis-1552	58	20	sin	sin	NOUN
fis-1552	58	21	2	2	NUM
fis-1552	58	22	u	u	NOUN
fis-1552	58	23			NOUN
fis-1552	58	24			PRON
fis-1552	58	25	,	,	PUNCT
fis-1552	58	26	3	3	NUM
fis-1552	58	27	sin	sin	NOUN
fis-1552	58	28	2	2	NUM
fis-1552	58	29	u	u	NOUN
fis-1552	58	30			NOUN
fis-1552	58	31			NUM
fis-1552	58	32	,	,	PUNCT
fis-1552	58	33	cos	cos	ADP
fis-1552	58	34	2	2	NUM
fis-1552	58	35			X
fis-1552	58	36			NUM
fis-1552	58	37	(	(	PUNCT
fis-1552	58	38	5	5	NUM
fis-1552	58	39	)	)	PUNCT
fis-1552	58	40	to	to	PART
fis-1552	58	41	determine	determine	VERB
fis-1552	58	42	values	value	NOUN
fis-1552	58	43	of	of	ADP
fis-1552	58	44	angles	angle	NOUN
fis-1552	58	45	arctg	arctg	NOUN
fis-1552	58	46	arctg	arctg	VERB
fis-1552	58	47			PROPN
fis-1552	58	48			PROPN
fis-1552	58	49			ADP
fis-1552	58	50			NOUN
fis-1552	58	51			NOUN
fis-1552	59	1			PROPN
fis-1552	59	2			NOUN
fis-1552	59	3			NOUN
fis-1552	59	4			PROPN
fis-1552	60	1			PROPN
fis-1552	60	2			PROPN
fis-1552	61	1			PROPN
fis-1552	61	2			PROPN
fis-1552	62	1			ADJ
fis-1552	62	2			PROPN
fis-1552	62	3			PROPN
fis-1552	62	4			NOUN
fis-1552	62	5	,	,	PUNCT
fis-1552	62	6	3arcsin	3arcsin	NUM
fis-1552	62	7	sin	sin	NOUN
fis-1552	62	8	m	m	NOUN
fis-1552	62	9			ADJ
fis-1552	62	10			NOUN
fis-1552	62	11			NOUN
fis-1552	62	12			PROPN
fis-1552	62	13			PROPN
fis-1552	62	14			PROPN
fis-1552	62	15			PROPN
fis-1552	62	16			NOUN
fis-1552	62	17	,	,	PUNCT
fis-1552	62	18	arctg	arctg	VERB
fis-1552	62	19	arctg	arctg	VERB
fis-1552	62	20			NOUN
fis-1552	62	21			NOUN
fis-1552	62	22			ADP
fis-1552	62	23			NOUN
fis-1552	62	24			NOUN
fis-1552	62	25			PROPN
fis-1552	62	26			NOUN
fis-1552	62	27			NOUN
fis-1552	62	28			PROPN
fis-1552	62	29			PROPN
fis-1552	62	30			PROPN
fis-1552	63	1			PROPN
fis-1552	63	2			PROPN
fis-1552	64	1			PROPN
fis-1552	64	2			PROPN
fis-1552	64	3			PROPN
fis-1552	64	4			NOUN
fis-1552	64	5	.	.	PUNCT
fis-1552	65	1	(	(	PUNCT
fis-1552	65	2	6	6	NUM
fis-1552	65	3	)	)	PUNCT
fis-1552	65	4	euler	euler	NOUN
fis-1552	65	5	angles	angle	NOUN
fis-1552	65	6	calculated	calculate	VERB
fis-1552	65	7	in	in	ADP
fis-1552	65	8	this	this	DET
fis-1552	65	9	way	way	NOUN
fis-1552	65	10	are	be	AUX
fis-1552	65	11	averaged	average	VERB
fis-1552	65	12	using	use	VERB
fis-1552	65	13	the	the	DET
fis-1552	65	14	following	follow	VERB
fis-1552	65	15	relations	relation	NOUN
fis-1552	65	16	:	:	PUNCT
fis-1552	65	17			NOUN
fis-1552	66	1			SYM
fis-1552	66	2			NOUN
fis-1552	66	3			NUM
fis-1552	66	4	1	1	NUM
fis-1552	66	5	1ˆ	1ˆ	NOUN
fis-1552	66	6	l	l	NOUN
fis-1552	66	7	k	k	PROPN
fis-1552	67	1	k	k	PROPN
fis-1552	67	2	w	w	PROPN
fis-1552	67	3	k	k	PROPN
fis-1552	67	4	w	w	ADP
fis-1552	67	5			PROPN
fis-1552	67	6			PROPN
fis-1552	67	7			PROPN
fis-1552	67	8			PROPN
fis-1552	67	9			NOUN
fis-1552	67	10	,	,	PUNCT
fis-1552	67	11			PROPN
fis-1552	67	12			SYM
fis-1552	67	13			NOUN
fis-1552	67	14			NUM
fis-1552	67	15	1	1	NUM
fis-1552	67	16	1ˆ	1ˆ	NOUN
fis-1552	67	17	l	l	NOUN
fis-1552	68	1	k	k	PROPN
fis-1552	68	2	k	k	PROPN
fis-1552	68	3	w	w	PROPN
fis-1552	69	1	k	k	PROPN
fis-1552	69	2	w	w	PROPN
fis-1552	69	3			PROPN
fis-1552	69	4			X
fis-1552	70	1			PROPN
fis-1552	70	2			PROPN
fis-1552	70	3			NOUN
fis-1552	70	4	,	,	PUNCT
fis-1552	70	5			PROPN
fis-1552	70	6			SYM
fis-1552	70	7			NOUN
fis-1552	70	8			NUM
fis-1552	70	9	1	1	NUM
fis-1552	70	10	1ˆ	1ˆ	NOUN
fis-1552	71	1	l	l	NOUN
fis-1552	72	1	k	k	PROPN
fis-1552	72	2	k	k	PROPN
fis-1552	72	3	w	w	PROPN
fis-1552	72	4	k	k	PROPN
fis-1552	72	5	w	w	PROPN
fis-1552	73	1			NOUN
fis-1552	74	1			NOUN
fis-1552	75	1			NUM
fis-1552	75	2			PROPN
fis-1552	75	3			NOUN
fis-1552	75	4	.	.	PUNCT
fis-1552	76	1	(	(	PUNCT
fis-1552	76	2	7	7	NUM
fis-1552	76	3	)	)	PUNCT
fis-1552	76	4	then	then	ADV
fis-1552	76	5	,	,	PUNCT
fis-1552	76	6	macha	macha	PROPN
fis-1552	76	7	and	and	CCONJ
fis-1552	76	8	będkowski	będkowski	PROPN
fis-1552	76	9	[	[	X
fis-1552	76	10	11	11	NUM
fis-1552	76	11	]	]	PUNCT
fis-1552	76	12	developed	develop	VERB
fis-1552	76	13	variance	variance	NOUN
fis-1552	76	14	method	method	NOUN
fis-1552	76	15	to	to	PART
fis-1552	76	16	determine	determine	VERB
fis-1552	76	17	critical	critical	ADJ
fis-1552	76	18	plane	plane	NOUN
fis-1552	76	19	position	position	NOUN
fis-1552	76	20	.	.	PUNCT
fis-1552	77	1	in	in	ADP
fis-1552	77	2	this	this	DET
fis-1552	77	3	method	method	NOUN
fis-1552	77	4	,	,	PUNCT
fis-1552	77	5	the	the	DET
fis-1552	77	6	critical	critical	ADJ
fis-1552	77	7	plane	plane	NOUN
fis-1552	77	8	is	be	AUX
fis-1552	77	9	considered	consider	VERB
fis-1552	77	10	to	to	PART
fis-1552	77	11	be	be	AUX
fis-1552	77	12	the	the	DET
fis-1552	77	13	plane	plane	NOUN
fis-1552	77	14	,	,	PUNCT
fis-1552	77	15	for	for	ADP
fis-1552	77	16	which	which	PRON
fis-1552	77	17	the	the	DET
fis-1552	77	18	variance	variance	NOUN
fis-1552	77	19	of	of	ADP
fis-1552	77	20	equivalent	equivalent	ADJ
fis-1552	77	21	stress	stress	NOUN
fis-1552	77	22	reduced	reduce	VERB
fis-1552	77	23	by	by	ADP
fis-1552	77	24	selected	select	VERB
fis-1552	77	25	criterion	criterion	NOUN
fis-1552	77	26	reaches	reach	VERB
fis-1552	77	27	maximum	maximum	ADJ
fis-1552	77	28	.	.	PUNCT
fis-1552	78	1	the	the	DET
fis-1552	78	2	study	study	NOUN
fis-1552	78	3	[	[	X
fis-1552	78	4	12	12	NUM
fis-1552	78	5	]	]	PUNCT
fis-1552	78	6	contains	contain	VERB
fis-1552	78	7	comparison	comparison	NOUN
fis-1552	78	8	of	of	ADP
fis-1552	78	9	lives	life	NOUN
fis-1552	78	10	of	of	ADP
fis-1552	78	11	steel	steel	NOUN
fis-1552	78	12	specimens	specimen	NOUN
fis-1552	78	13	using	use	VERB
fis-1552	78	14	variance	variance	NOUN
fis-1552	78	15	method	method	NOUN
fis-1552	78	16	with	with	ADP
fis-1552	78	17	damage	damage	NOUN
fis-1552	78	18	accumulation	accumulation	NOUN
fis-1552	78	19	method	method	NOUN
fis-1552	78	20	for	for	ADP
fis-1552	78	21	criterion	criterion	NOUN
fis-1552	78	22	of	of	ADP
fis-1552	78	23	maximum	maximum	ADJ
fis-1552	78	24	shear	shear	NOUN
fis-1552	78	25	stress	stress	NOUN
fis-1552	78	26	in	in	ADP
fis-1552	78	27	the	the	DET
fis-1552	78	28	critical	critical	ADJ
fis-1552	78	29	plane	plane	NOUN
fis-1552	78	30	.	.	PUNCT
fis-1552	79	1	according	accord	VERB
fis-1552	79	2	to	to	ADP
fis-1552	79	3	this	this	DET
fis-1552	79	4	criterion	criterion	NOUN
fis-1552	79	5	,	,	PUNCT
fis-1552	79	6	the	the	DET
fis-1552	79	7	equivalent	equivalent	ADJ
fis-1552	79	8	stress	stress	NOUN
fis-1552	79	9	eq	eq	PROPN
fis-1552	79	10	(	(	PUNCT
fis-1552	79	11	t	t	NOUN
fis-1552	79	12	)	)	PUNCT
fis-1552	79	13	takes	take	VERB
fis-1552	79	14	the	the	DET
fis-1552	79	15	following	follow	VERB
fis-1552	79	16	form	form	NOUN
fis-1552	79	17	z.	z.	PROPN
fis-1552	79	18	marciniak	marciniak	PROPN
fis-1552	79	19	et	et	PROPN
fis-1552	79	20	alii	alii	PROPN
fis-1552	79	21	,	,	PUNCT
fis-1552	79	22	frattura	frattura	PROPN
fis-1552	79	23	ed	ed	PROPN
fis-1552	79	24	integrità	integrità	PROPN
fis-1552	79	25	strutturale	strutturale	PROPN
fis-1552	79	26	,	,	PUNCT
fis-1552	79	27	34	34	NUM
fis-1552	79	28	(	(	PUNCT
fis-1552	79	29	2015	2015	NUM
fis-1552	79	30	)	)	PUNCT
fis-1552	79	31	1	1	NUM
fis-1552	79	32	-	-	SYM
fis-1552	79	33	10	10	NUM
fis-1552	79	34	;	;	PUNCT
fis-1552	79	35	doi	doi	NOUN
fis-1552	79	36	:	:	PUNCT
fis-1552	79	37	10.3221	10.3221	NUM
fis-1552	79	38	/	/	SYM
fis-1552	79	39	igf	igf	PROPN
fis-1552	79	40	-	-	ADJ
fis-1552	79	41	esis.34.01	esis.34.01	ADJ
fis-1552	79	42	4	4	NUM
fis-1552	79	43	(	(	PUNCT
fis-1552	79	44	)	)	PUNCT
fis-1552	79	45	(	(	PUNCT
fis-1552	79	46	)	)	PUNCT
fis-1552	79	47	sin(2	sin(2	ADJ
fis-1552	79	48	)	)	PUNCT
fis-1552	79	49	2	2	NUM
fis-1552	79	50	(	(	PUNCT
fis-1552	79	51	)	)	PUNCT
fis-1552	79	52	cos(2	cos(2	NOUN
fis-1552	79	53	)	)	PUNCT
fis-1552	79	54	eq	eq	NOUN
fis-1552	79	55	x	x	PROPN
fis-1552	79	56	xyt	xyt	PROPN
fis-1552	79	57	t	t	PROPN
fis-1552	79	58	t	t	PROPN
fis-1552	79	59			PROPN
fis-1552	79	60			X
fis-1552	79	61			NOUN
fis-1552	79	62			ADJ
fis-1552	79	63			VERB
fis-1552	79	64			NOUN
fis-1552	79	65			NUM
fis-1552	79	66	,	,	PUNCT
fis-1552	79	67	(	(	PUNCT
fis-1552	79	68	8)	8)	NUM
fis-1552	79	69	where	where	SCONJ
fis-1552	79	70	:	:	PUNCT
fis-1552	79	71	x	x	PROPN
fis-1552	79	72	(	(	PUNCT
fis-1552	79	73	t	t	NOUN
fis-1552	79	74	)	)	PUNCT
fis-1552	79	75	normal	normal	ADJ
fis-1552	79	76	stress	stress	NOUN
fis-1552	79	77	along	along	ADP
fis-1552	79	78	the	the	DET
fis-1552	79	79	specimen	speciman	NOUN
fis-1552	79	80	axis	axis	NOUN
fis-1552	79	81	,	,	PUNCT
fis-1552	79	82	xy	xy	NUM
fis-1552	79	83	(	(	PUNCT
fis-1552	79	84	t	t	NOUN
fis-1552	79	85	)	)	PUNCT
fis-1552	79	86	shear	shear	NOUN
fis-1552	79	87	stress	stress	NOUN
fis-1552	79	88	in	in	ADP
fis-1552	79	89	the	the	DET
fis-1552	79	90	specimen	speciman	NOUN
fis-1552	79	91	cross	cross	NOUN
fis-1552	79	92	section	section	NOUN
fis-1552	79	93	,	,	PUNCT
fis-1552	79	94			X
fis-1552	79	95	angle	angle	NOUN
fis-1552	79	96	determining	determine	VERB
fis-1552	79	97	the	the	DET
fis-1552	79	98	critical	critical	ADJ
fis-1552	79	99	plane	plane	NOUN
fis-1552	79	100	position	position	NOUN
fis-1552	79	101	.	.	PUNCT
fis-1552	80	1	from	from	ADP
fis-1552	80	2	eq	eq	ADP
fis-1552	80	3	.	.	PUNCT
fis-1552	81	1	(	(	PUNCT
fis-1552	81	2	8)	8)	NUM
fis-1552	81	3	it	it	PRON
fis-1552	81	4	appears	appear	VERB
fis-1552	81	5	that	that	SCONJ
fis-1552	81	6	the	the	DET
fis-1552	81	7	equivalent	equivalent	ADJ
fis-1552	81	8	stress	stress	NOUN
fis-1552	81	9	eq	eq	PROPN
fis-1552	81	10	(	(	PUNCT
fis-1552	81	11	t	t	NOUN
fis-1552	81	12	)	)	PUNCT
fis-1552	81	13	is	be	AUX
fis-1552	81	14	linearly	linearly	ADV
fis-1552	81	15	dependent	dependent	ADJ
fis-1552	81	16	on	on	ADP
fis-1552	81	17	the	the	DET
fis-1552	81	18	stress	stress	NOUN
fis-1552	81	19	state	state	NOUN
fis-1552	81	20	components	component	NOUN
fis-1552	81	21	x	x	PROPN
fis-1552	81	22	(	(	PUNCT
fis-1552	81	23	t	t	PROPN
fis-1552	81	24	)	)	PUNCT
fis-1552	81	25	and	and	CCONJ
fis-1552	81	26	xy	xy	PROPN
fis-1552	81	27	(	(	PUNCT
fis-1552	81	28	t	t	PROPN
fis-1552	81	29	)	)	PUNCT
fis-1552	81	30	,	,	PUNCT
fis-1552	81	31	so	so	SCONJ
fis-1552	81	32	it	it	PRON
fis-1552	81	33	can	can	AUX
fis-1552	81	34	be	be	AUX
fis-1552	81	35	expressed	express	VERB
fis-1552	81	36	as	as	ADP
fis-1552	81	37	1	1	NUM
fis-1552	81	38	1	1	NUM
fis-1552	81	39	2	2	NUM
fis-1552	81	40	2	2	NUM
fis-1552	81	41	1	1	NUM
fis-1552	81	42	n	n	NOUN
fis-1552	81	43	eq	eq	ADP
fis-1552	81	44	j	j	PROPN
fis-1552	81	45	j	j	PROPN
fis-1552	81	46	j	j	PROPN
fis-1552	81	47	a	a	X
fis-1552	81	48	x	x	X
fis-1552	81	49	a	a	X
fis-1552	81	50	x	x	X
fis-1552	81	51	a	a	DET
fis-1552	81	52	x	x	PROPN
fis-1552	82	1			PROPN
fis-1552	82	2			PROPN
fis-1552	82	3			PROPN
fis-1552	82	4			NOUN
fis-1552	82	5	,	,	PUNCT
fis-1552	82	6	(	(	PUNCT
fis-1552	82	7	9	9	NUM
fis-1552	82	8	)	)	PUNCT
fis-1552	82	9	where	where	SCONJ
fis-1552	82	10	:	:	PUNCT
fis-1552	82	11	a1	a1	NOUN
fis-1552	82	12	=	=	NOUN
fis-1552	82	13	sin	sin	NOUN
fis-1552	82	14	(	(	PUNCT
fis-1552	82	15	2	2	PROPN
fis-1552	82	16	)	)	PUNCT
fis-1552	82	17	,	,	PUNCT
fis-1552	82	18	a2	a2	PROPN
fis-1552	82	19	=	=	SYM
fis-1552	82	20	2cos	2cos	PROPN
fis-1552	82	21	(	(	PUNCT
fis-1552	82	22	2	2	PROPN
fis-1552	82	23	)	)	PUNCT
fis-1552	82	24	,	,	PUNCT
fis-1552	82	25	x1	x1	PROPN
fis-1552	82	26	=	=	SYM
fis-1552	82	27	x	x	PROPN
fis-1552	82	28	,	,	PUNCT
fis-1552	82	29	x2	x2	PROPN
fis-1552	82	30	=	=	SYM
fis-1552	82	31	xy	xy	PROPN
fis-1552	82	32	.	.	PUNCT
fis-1552	83	1	from	from	ADP
fis-1552	83	2	theory	theory	NOUN
fis-1552	83	3	of	of	ADP
fis-1552	83	4	probability	probability	NOUN
fis-1552	83	5	[	[	X
fis-1552	83	6	13	13	NUM
fis-1552	83	7	]	]	PUNCT
fis-1552	83	8	it	it	PRON
fis-1552	83	9	results	result	VERB
fis-1552	83	10	that	that	SCONJ
fis-1552	83	11	the	the	DET
fis-1552	83	12	variance	variance	NOUN
fis-1552	83	13	of	of	ADP
fis-1552	83	14	random	random	ADJ
fis-1552	83	15	variable	variable	NOUN
fis-1552	83	16	being	be	AUX
fis-1552	83	17	a	a	DET
fis-1552	83	18	linear	linear	ADJ
fis-1552	83	19	function	function	NOUN
fis-1552	83	20	of	of	ADP
fis-1552	83	21	some	some	DET
fis-1552	83	22	random	random	ADJ
fis-1552	83	23	variables	variable	NOUN
fis-1552	83	24	is	be	AUX
fis-1552	83	25	expressed	express	VERB
fis-1552	83	26	by	by	ADP
fis-1552	83	27	the	the	DET
fis-1552	83	28	following	follow	VERB
fis-1552	83	29	formula	formula	NOUN
fis-1552	83	30	1	1	NUM
fis-1552	83	31	2	2	NUM
fis-1552	83	32	1	1	NUM
fis-1552	83	33	2	2	NUM
fis-1552	83	34	2	2	NUM
fis-1552	83	35	2	2	NUM
fis-1552	83	36	2	2	NUM
fis-1552	83	37	1	1	NUM
fis-1552	83	38	2	2	NUM
fis-1552	83	39	1	1	NUM
fis-1552	83	40	2	2	NUM
fis-1552	83	41	1	1	NUM
fis-1552	83	42	2	2	NUM
fis-1552	83	43	2	2	NUM
fis-1552	83	44	n	n	NOUN
fis-1552	83	45	eq	eq	ADP
fis-1552	83	46	j	j	PROPN
fis-1552	83	47	xj	xj	PROPN
fis-1552	84	1	j	j	PROPN
fis-1552	85	1	k	k	PROPN
fis-1552	85	2	xjk	xjk	INTJ
fis-1552	86	1	x	x	PUNCT
fis-1552	86	2	x	x	PUNCT
fis-1552	86	3	x	x	PUNCT
fis-1552	86	4	x	x	X
fis-1552	87	1	j	j	PROPN
fis-1552	87	2	j	j	PROPN
fis-1552	87	3	k	k	PROPN
fis-1552	88	1	a	a	DET
fis-1552	88	2	a	a	DET
fis-1552	88	3	a	a	DET
fis-1552	88	4	a	a	DET
fis-1552	88	5	a	a	DET
fis-1552	88	6	a	a	DET
fis-1552	88	7	a	a	NOUN
fis-1552	88	8			NOUN
fis-1552	88	9			NOUN
fis-1552	88	10			NOUN
fis-1552	88	11			NOUN
fis-1552	88	12			NOUN
fis-1552	88	13			PRON
fis-1552	88	14			X
fis-1552	89	1			NOUN
fis-1552	89	2			VERB
fis-1552	89	3			NUM
fis-1552	89	4			ADJ
fis-1552	89	5			X
fis-1552	89	6			X
fis-1552	89	7	,	,	PUNCT
fis-1552	89	8	(	(	PUNCT
fis-1552	89	9	10	10	NUM
fis-1552	89	10	)	)	PUNCT
fis-1552	90	1	where	where	SCONJ
fis-1552	90	2	:	:	PUNCT
fis-1552	90	3	eq	eq	NOUN
fis-1552	90	4	variance	variance	NOUN
fis-1552	90	5	of	of	ADP
fis-1552	90	6	equivalent	equivalent	ADJ
fis-1552	90	7	stress	stress	NOUN
fis-1552	90	8	eq	eq	PROPN
fis-1552	90	9	,	,	PUNCT
fis-1552	90	10	x1	x1	PROPN
fis-1552	90	11	variance	variance	NOUN
fis-1552	90	12	of	of	ADP
fis-1552	90	13	normal	normal	ADJ
fis-1552	90	14	stress	stress	NOUN
fis-1552	90	15	x	x	PROPN
fis-1552	90	16	,	,	PUNCT
fis-1552	90	17	x2	x2	ADJ
fis-1552	90	18	variance	variance	NOUN
fis-1552	90	19	of	of	ADP
fis-1552	90	20	shear	shear	NOUN
fis-1552	90	21	stress	stress	PROPN
fis-1552	90	22	xy	xy	PROPN
fis-1552	90	23	,	,	PUNCT
fis-1552	90	24	x1x2	x1x2	NOUN
fis-1552	90	25	covariance	covariance	NOUN
fis-1552	90	26	of	of	ADP
fis-1552	90	27	normal	normal	ADJ
fis-1552	90	28	x	x	NOUN
fis-1552	90	29	and	and	CCONJ
fis-1552	90	30	shear	shear	ADJ
fis-1552	90	31	stress	stress	NOUN
fis-1552	90	32	xy	xy	NOUN
fis-1552	90	33	stresses	stress	NOUN
fis-1552	90	34	.	.	PUNCT
fis-1552	91	1	under	under	ADP
fis-1552	91	2	biaxial	biaxial	ADJ
fis-1552	91	3	random	random	ADJ
fis-1552	91	4	stationary	stationary	NOUN
fis-1552	91	5	and	and	CCONJ
fis-1552	91	6	ergodic	ergodic	ADJ
fis-1552	91	7	stress	stress	NOUN
fis-1552	91	8	state	state	NOUN
fis-1552	91	9	,	,	PUNCT
fis-1552	91	10	the	the	DET
fis-1552	91	11	variances	variance	NOUN
fis-1552	91	12	x1	x1	PROPN
fis-1552	91	13	,	,	PUNCT
fis-1552	91	14	x2	x2	PROPN
fis-1552	91	15	and	and	CCONJ
fis-1552	91	16	the	the	DET
fis-1552	91	17	covariance	covariance	NOUN
fis-1552	91	18	x1x2	x1x2	NOUN
fis-1552	91	19	in	in	ADP
fis-1552	91	20	eq	eq	ADP
fis-1552	91	21	.	.	PUNCT
fis-1552	92	1	(	(	PUNCT
fis-1552	92	2	10	10	NUM
fis-1552	92	3	)	)	PUNCT
fis-1552	92	4	are	be	AUX
fis-1552	92	5	constant	constant	ADJ
fis-1552	92	6	.	.	PUNCT
fis-1552	93	1	in	in	ADP
fis-1552	93	2	the	the	DET
fis-1552	93	3	method	method	NOUN
fis-1552	93	4	of	of	ADP
fis-1552	93	5	variance	variance	NOUN
fis-1552	93	6	for	for	ADP
fis-1552	93	7	determination	determination	NOUN
fis-1552	93	8	of	of	ADP
fis-1552	93	9	the	the	DET
fis-1552	93	10	critical	critical	ADJ
fis-1552	93	11	plane	plane	NOUN
fis-1552	93	12	position	position	NOUN
fis-1552	93	13	the	the	DET
fis-1552	93	14	maximum	maximum	ADJ
fis-1552	93	15	function	function	NOUN
fis-1552	93	16	of	of	ADP
fis-1552	93	17	eq	eq	PROPN
fis-1552	93	18	.	.	PUNCT
fis-1552	94	1	(	(	PUNCT
fis-1552	94	2	10	10	NUM
fis-1552	94	3	)	)	PUNCT
fis-1552	94	4	is	be	AUX
fis-1552	94	5	searched	search	VERB
fis-1552	94	6	in	in	ADP
fis-1552	94	7	relation	relation	NOUN
fis-1552	94	8	of	of	ADP
fis-1552	94	9	the	the	DET
fis-1552	94	10	angle	angle	NOUN
fis-1552	94	11			NOUN
fis-1552	94	12	occurring	occur	VERB
fis-1552	94	13	in	in	ADP
fis-1552	94	14	coefficients	coefficient	NOUN
fis-1552	94	15	a1	a1	NOUN
fis-1552	94	16	and	and	CCONJ
fis-1552	94	17	a2	a2	PROPN
fis-1552	94	18	.	.	PUNCT
fis-1552	95	1	after	after	ADP
fis-1552	95	2	reduction	reduction	NOUN
fis-1552	95	3	,	,	PUNCT
fis-1552	95	4	the	the	DET
fis-1552	95	5	variance	variance	NOUN
fis-1552	95	6	of	of	ADP
fis-1552	95	7	equivalent	equivalent	ADJ
fis-1552	95	8	stress	stress	NOUN
fis-1552	95	9	eq	eq	PROPN
fis-1552	95	10	versus	versus	ADP
fis-1552	95	11	the	the	DET
fis-1552	95	12	angle	angle	NOUN
fis-1552	95	13			NOUN
fis-1552	95	14	can	can	AUX
fis-1552	95	15	be	be	AUX
fis-1552	95	16	written	write	VERB
fis-1552	95	17	as	as	ADP
fis-1552	95	18			NOUN
fis-1552	95	19			PROPN
fis-1552	95	20			NOUN
fis-1552	95	21			PUNCT
fis-1552	95	22			NOUN
fis-1552	96	1			NOUN
fis-1552	96	2	1	1	NUM
fis-1552	96	3	2	2	NUM
fis-1552	96	4	1	1	NUM
fis-1552	96	5	2	2	NUM
fis-1552	96	6	2	2	NUM
fis-1552	96	7	2sin	2sin	NUM
fis-1552	96	8	2	2	NUM
fis-1552	96	9	4	4	NUM
fis-1552	96	10	cos	co	NOUN
fis-1552	96	11	2	2	NUM
fis-1552	96	12	2sin	2sin	NUM
fis-1552	96	13	4eq	4eq	NOUN
fis-1552	96	14	x	x	X
fis-1552	96	15	x	x	PUNCT
fis-1552	96	16	x	x	X
fis-1552	96	17	x	x	PROPN
fis-1552	96	18			X
fis-1552	96	19			NOUN
fis-1552	96	20			NOUN
fis-1552	96	21			NOUN
fis-1552	96	22			X
fis-1552	96	23			NOUN
fis-1552	96	24			NOUN
fis-1552	96	25			ADJ
fis-1552	96	26	.	.	PUNCT
fis-1552	97	1	(	(	PUNCT
fis-1552	97	2	11	11	NUM
fis-1552	97	3	)	)	PUNCT
fis-1552	97	4	an	an	DET
fis-1552	97	5	exemplary	exemplary	ADJ
fis-1552	97	6	assessment	assessment	NOUN
fis-1552	97	7	of	of	ADP
fis-1552	97	8	the	the	DET
fis-1552	97	9	critical	critical	ADJ
fis-1552	97	10	plane	plane	NOUN
fis-1552	97	11	position	position	NOUN
fis-1552	97	12	for	for	ADP
fis-1552	97	13	loading	loading	NOUN
fis-1552	97	14	combination	combination	NOUN
fis-1552	97	15	k01	k01	NOUN
fis-1552	97	16	[	[	X
fis-1552	97	17	12	12	NUM
fis-1552	97	18	]	]	PUNCT
fis-1552	97	19	obtained	obtain	VERB
fis-1552	97	20	using	use	VERB
fis-1552	97	21	the	the	DET
fis-1552	97	22	variance	variance	NOUN
fis-1552	97	23	and	and	CCONJ
fis-1552	97	24	damage	damage	NOUN
fis-1552	97	25	accumulation	accumulation	NOUN
fis-1552	97	26	methods	method	NOUN
fis-1552	97	27	is	be	AUX
fis-1552	97	28	shown	show	VERB
fis-1552	97	29	in	in	ADP
fis-1552	97	30	fig	fig	NOUN
fis-1552	97	31	.	.	PUNCT
fis-1552	98	1	1	1	X
fis-1552	98	2	.	.	X
fis-1552	98	3	a	a	DET
fis-1552	98	4	)	)	PUNCT
fis-1552	98	5	b	b	NOUN
fis-1552	98	6	)	)	PUNCT
fis-1552	98	7	figure	figure	NOUN
fis-1552	98	8	1	1	NUM
fis-1552	98	9	:	:	PUNCT
fis-1552	98	10	dependence	dependence	NOUN
fis-1552	98	11	of	of	ADP
fis-1552	98	12	the	the	DET
fis-1552	98	13	normalized	normalize	VERB
fis-1552	98	14	value	value	NOUN
fis-1552	98	15	of	of	ADP
fis-1552	98	16	:	:	PUNCT
fis-1552	98	17	a	a	PRON
fis-1552	98	18	)	)	PUNCT
fis-1552	98	19	variance	variance	NOUN
fis-1552	98	20	,	,	PUNCT
fis-1552	98	21	b	b	X
fis-1552	98	22	)	)	PUNCT
fis-1552	98	23	damage	damage	NOUN
fis-1552	98	24	accumulation	accumulation	NOUN
fis-1552	98	25	on	on	ADP
fis-1552	98	26	the	the	DET
fis-1552	98	27	angle	angle	NOUN
fis-1552	98	28			NOUN
fis-1552	98	29	of	of	ADP
fis-1552	98	30	critical	critical	ADJ
fis-1552	98	31	plane	plane	NOUN
fis-1552	98	32	position	position	NOUN
fis-1552	98	33	for	for	ADP
fis-1552	98	34	loading	loading	NOUN
fis-1552	98	35	combination	combination	NOUN
fis-1552	98	36	k01	k01	NOUN
fis-1552	98	37	(	(	PUNCT
fis-1552	98	38	λ	λ	NOUN
fis-1552	98	39	=	=	PUNCT
fis-1552	98	40	0.189	0.189	NUM
fis-1552	98	41	)	)	PUNCT
fis-1552	99	1	[	[	X
fis-1552	99	2	14	14	NUM
fis-1552	99	3	]	]	PUNCT
fis-1552	99	4	.	.	PUNCT
fis-1552	100	1	z.	z.	PROPN
fis-1552	100	2	marciniak	marciniak	PROPN
fis-1552	100	3	et	et	PROPN
fis-1552	100	4	alii	alii	PROPN
fis-1552	100	5	,	,	PUNCT
fis-1552	100	6	frattura	frattura	PROPN
fis-1552	100	7	ed	ed	PROPN
fis-1552	100	8	integrità	integrità	PROPN
fis-1552	100	9	strutturale	strutturale	PROPN
fis-1552	100	10	,	,	PUNCT
fis-1552	100	11	34	34	NUM
fis-1552	100	12	(	(	PUNCT
fis-1552	100	13	2015	2015	NUM
fis-1552	100	14	)	)	PUNCT
fis-1552	100	15	1	1	NUM
fis-1552	100	16	-	-	SYM
fis-1552	100	17	10	10	NUM
fis-1552	100	18	;	;	PUNCT
fis-1552	100	19	doi	doi	NOUN
fis-1552	100	20	:	:	PUNCT
fis-1552	100	21	10.3221	10.3221	NUM
fis-1552	100	22	/	/	SYM
fis-1552	100	23	igf	igf	PROPN
fis-1552	100	24	-	-	ADJ
fis-1552	100	25	esis.34.01	esis.34.01	ADJ
fis-1552	100	26	5	5	NUM
fis-1552	100	27	fig	fig	NOUN
fis-1552	100	28	.	.	PUNCT
fis-1552	101	1	2	2	NUM
fis-1552	101	2	compares	compare	NOUN
fis-1552	101	3	calculated	calculate	VERB
fis-1552	101	4	life	life	NOUN
fis-1552	101	5	values	value	NOUN
fis-1552	101	6	and	and	CCONJ
fis-1552	101	7	experimental	experimental	ADJ
fis-1552	101	8	values	value	NOUN
fis-1552	101	9	for	for	ADP
fis-1552	101	10	variance	variance	NOUN
fis-1552	101	11	and	and	CCONJ
fis-1552	101	12	damage	damage	NOUN
fis-1552	101	13	accumulation	accumulation	NOUN
fis-1552	101	14	[	[	X
fis-1552	101	15	12	12	NUM
fis-1552	101	16	]	]	PUNCT
fis-1552	101	17	.	.	PUNCT
fis-1552	102	1	a	a	DET
fis-1552	102	2	)	)	PUNCT
fis-1552	102	3	b	b	NOUN
fis-1552	102	4	)	)	PUNCT
fis-1552	102	5	figure	figure	NOUN
fis-1552	102	6	2	2	NUM
fis-1552	102	7	:	:	PUNCT
fis-1552	102	8	comparison	comparison	NOUN
fis-1552	102	9	of	of	ADP
fis-1552	102	10	calculated	calculated	ADJ
fis-1552	102	11	and	and	CCONJ
fis-1552	102	12	experimental	experimental	ADJ
fis-1552	102	13	fatigue	fatigue	NOUN
fis-1552	102	14	lives	live	VERB
fis-1552	102	15	with	with	ADP
fis-1552	102	16	critical	critical	ADJ
fis-1552	102	17	planes	plane	NOUN
fis-1552	102	18	determined	determine	VERB
fis-1552	102	19	according	accord	VERB
fis-1552	102	20	to	to	ADP
fis-1552	102	21	:	:	PUNCT
fis-1552	102	22	a	a	DET
fis-1552	102	23	)	)	PUNCT
fis-1552	102	24	variance	variance	NOUN
fis-1552	102	25	and	and	CCONJ
fis-1552	102	26	b	b	X
fis-1552	102	27	)	)	PUNCT
fis-1552	102	28	damage	damage	NOUN
fis-1552	102	29	accumulation	accumulation	NOUN
fis-1552	102	30	methods	method	NOUN
fis-1552	102	31	[	[	X
fis-1552	102	32	14	14	NUM
fis-1552	102	33	]	]	PUNCT
fis-1552	102	34	.	.	PUNCT
fis-1552	103	1	strain	strain	ADJ
fis-1552	103	2	fatigue	fatigue	NOUN
fis-1552	103	3	criterion	criterion	NOUN
fis-1552	104	1	[	[	X
fis-1552	104	2	3	3	X
fis-1552	104	3	]	]	PUNCT
fis-1552	104	4	expressed	express	VERB
fis-1552	104	5	as	as	ADP
fis-1552	104	6			ADJ
fis-1552	104	7	max	max	PROPN
fis-1552	104	8	(	(	PUNCT
fis-1552	104	9	)	)	PUNCT
fis-1552	104	10	(	(	PUNCT
fis-1552	104	11	)	)	PUNCT
fis-1552	104	12	ns	ns	NUM
fis-1552	104	13	n	n	ADP
fis-1552	104	14	t	t	PROPN
fis-1552	104	15	b	b	PROPN
fis-1552	104	16	t	t	PROPN
fis-1552	104	17	k	k	PROPN
fis-1552	104	18	t	t	PROPN
fis-1552	104	19	q	q	PROPN
fis-1552	104	20			PROPN
fis-1552	104	21			PRON
fis-1552	104	22	(	(	PUNCT
fis-1552	104	23	12	12	NUM
fis-1552	104	24	)	)	PUNCT
fis-1552	104	25	is	be	AUX
fis-1552	104	26	another	another	DET
fis-1552	104	27	proposal	proposal	NOUN
fis-1552	104	28	to	to	PART
fis-1552	104	29	formulate	formulate	VERB
fis-1552	104	30	multiaxial	multiaxial	ADJ
fis-1552	104	31	random	random	ADJ
fis-1552	104	32	fatigue	fatigue	NOUN
fis-1552	104	33	in	in	ADP
fis-1552	104	34	the	the	DET
fis-1552	104	35	field	field	NOUN
fis-1552	104	36	of	of	ADP
fis-1552	104	37	strains	strain	NOUN
fis-1552	104	38	,	,	PUNCT
fis-1552	104	39	where	where	SCONJ
fis-1552	104	40	εns(t	εns(t	NOUN
fis-1552	104	41	)	)	PUNCT
fis-1552	104	42	and	and	CCONJ
fis-1552	104	43	εn(t	εn(t	NUM
fis-1552	104	44	)	)	PUNCT
fis-1552	104	45	are	be	AUX
fis-1552	104	46	shear	shear	ADJ
fis-1552	104	47	and	and	CCONJ
fis-1552	104	48	normal	normal	ADJ
fis-1552	104	49	strain	strain	NOUN
fis-1552	104	50	in	in	ADP
fis-1552	104	51	critical	critical	ADJ
fis-1552	104	52	plane	plane	NOUN
fis-1552	104	53	,	,	PUNCT
fis-1552	104	54	respectively	respectively	ADV
fis-1552	104	55	;	;	PUNCT
fis-1552	104	56	and	and	CCONJ
fis-1552	104	57	a	a	DET
fis-1552	104	58	,	,	PUNCT
fis-1552	104	59	b	b	NOUN
fis-1552	104	60	,	,	PUNCT
fis-1552	104	61	k	k	NOUN
fis-1552	104	62	,	,	PUNCT
fis-1552	104	63	q	q	ADJ
fis-1552	104	64	–	–	PUNCT
fis-1552	104	65	constants	constant	NOUN
fis-1552	104	66	for	for	ADP
fis-1552	104	67	the	the	DET
fis-1552	104	68	selection	selection	NOUN
fis-1552	104	69	of	of	ADP
fis-1552	104	70	a	a	DET
fis-1552	104	71	given	give	VERB
fis-1552	104	72	criterion	criterion	NOUN
fis-1552	104	73	version	version	NOUN
fis-1552	104	74	.	.	PUNCT
fis-1552	105	1	in	in	ADP
fis-1552	105	2	1991	1991	NUM
fis-1552	105	3	,	,	PUNCT
fis-1552	105	4	macha	macha	PROPN
fis-1552	105	5	,	,	PUNCT
fis-1552	105	6	grzelak	grzelak	NOUN
fis-1552	105	7	and	and	CCONJ
fis-1552	105	8	łagoda	łagoda	NOUN
fis-1552	105	9	[	[	X
fis-1552	105	10	14	14	NUM
fis-1552	105	11	]	]	PUNCT
fis-1552	105	12	attempted	attempt	VERB
fis-1552	105	13	to	to	PART
fis-1552	105	14	apply	apply	VERB
fis-1552	105	15	spectral	spectral	ADJ
fis-1552	105	16	method	method	NOUN
fis-1552	105	17	to	to	PART
fis-1552	105	18	determine	determine	VERB
fis-1552	105	19	fatigue	fatigue	NOUN
fis-1552	105	20	life	life	NOUN
fis-1552	105	21	.	.	PUNCT
fis-1552	106	1	studies	study	NOUN
fis-1552	106	2	on	on	ADP
fis-1552	106	3	these	these	DET
fis-1552	106	4	issues	issue	NOUN
fis-1552	106	5	were	be	AUX
fis-1552	106	6	continued	continue	VERB
fis-1552	106	7	further	far	ADV
fis-1552	106	8	in	in	ADP
fis-1552	106	9	cooperation	cooperation	NOUN
fis-1552	106	10	with	with	ADP
fis-1552	106	11	niesłony	niesłony	ADJ
fis-1552	106	12	[	[	X
fis-1552	106	13	15	15	NUM
fis-1552	106	14	]	]	PUNCT
fis-1552	106	15	.	.	PUNCT
fis-1552	107	1	in	in	ADP
fis-1552	107	2	these	these	DET
fis-1552	107	3	studies	study	NOUN
fis-1552	107	4	,	,	PUNCT
fis-1552	107	5	assuming	assume	VERB
fis-1552	107	6	linear	linear	ADJ
fis-1552	107	7	effort	effort	NOUN
fis-1552	107	8	criteria	criterion	NOUN
fis-1552	107	9	,	,	PUNCT
fis-1552	107	10	a	a	DET
fis-1552	107	11	generalised	generalise	VERB
fis-1552	107	12	spectral	spectral	ADJ
fis-1552	107	13	method	method	NOUN
fis-1552	107	14	was	be	AUX
fis-1552	107	15	formulated	formulate	VERB
fis-1552	107	16	for	for	ADP
fis-1552	107	17	determining	determine	VERB
fis-1552	107	18	fatigue	fatigue	NOUN
fis-1552	107	19	life	life	NOUN
fis-1552	107	20	of	of	ADP
fis-1552	107	21	materials	material	NOUN
fis-1552	107	22	put	put	VERB
fis-1552	107	23	to	to	ADP
fis-1552	107	24	multiaxial	multiaxial	ADJ
fis-1552	107	25	loading	loading	NOUN
fis-1552	107	26	,	,	PUNCT
fis-1552	107	27	using	use	VERB
fis-1552	107	28	the	the	DET
fis-1552	107	29	function	function	NOUN
fis-1552	107	30	of	of	ADP
fis-1552	107	31	power	power	NOUN
fis-1552	107	32	spectral	spectral	ADJ
fis-1552	107	33	density	density	NOUN
fis-1552	107	34	in	in	ADP
fis-1552	107	35	the	the	DET
fis-1552	107	36	field	field	NOUN
fis-1552	107	37	of	of	ADP
fis-1552	107	38	frequency	frequency	NOUN
fis-1552	107	39	.	.	PUNCT
fis-1552	108	1	multiaxial	multiaxial	ADJ
fis-1552	108	2	state	state	NOUN
fis-1552	108	3	of	of	ADP
fis-1552	108	4	stress	stress	NOUN
fis-1552	108	5	is	be	AUX
fis-1552	108	6	reduced	reduce	VERB
fis-1552	108	7	to	to	ADP
fis-1552	108	8	uniaxial	uniaxial	ADJ
fis-1552	108	9	state	state	NOUN
fis-1552	108	10	,	,	PUNCT
fis-1552	108	11	and	and	CCONJ
fis-1552	108	12	accumulation	accumulation	NOUN
fis-1552	108	13	of	of	ADP
fis-1552	108	14	damage	damage	NOUN
fis-1552	108	15	is	be	AUX
fis-1552	108	16	carried	carry	VERB
fis-1552	108	17	out	out	ADP
fis-1552	108	18	using	use	VERB
fis-1552	108	19	standard	standard	ADJ
fis-1552	108	20	material	material	NOUN
fis-1552	108	21	characteristics	characteristic	NOUN
fis-1552	108	22	.	.	PUNCT
fis-1552	109	1	the	the	DET
fis-1552	109	2	study	study	NOUN
fis-1552	109	3	proves	prove	VERB
fis-1552	109	4	that	that	SCONJ
fis-1552	109	5	the	the	DET
fis-1552	109	6	results	result	NOUN
fis-1552	109	7	for	for	ADP
fis-1552	109	8	lives	life	NOUN
fis-1552	109	9	assessed	assess	VERB
fis-1552	109	10	using	use	VERB
fis-1552	109	11	spectral	spectral	ADJ
fis-1552	109	12	method	method	NOUN
fis-1552	109	13	in	in	ADP
fis-1552	109	14	the	the	DET
fis-1552	109	15	field	field	NOUN
fis-1552	109	16	of	of	ADP
fis-1552	109	17	frequency	frequency	NOUN
fis-1552	109	18	and	and	CCONJ
fis-1552	109	19	cycle	cycle	NOUN
fis-1552	109	20	counting	counting	NOUN
fis-1552	109	21	method	method	NOUN
fis-1552	109	22	in	in	ADP
fis-1552	109	23	the	the	DET
fis-1552	109	24	field	field	NOUN
fis-1552	109	25	of	of	ADP
fis-1552	109	26	time	time	NOUN
fis-1552	109	27	are	be	AUX
fis-1552	109	28	much	much	ADV
fis-1552	109	29	the	the	DET
fis-1552	109	30	same	same	ADJ
fis-1552	109	31	.	.	PUNCT
fis-1552	110	1	whereas	whereas	SCONJ
fis-1552	110	2	,	,	PUNCT
fis-1552	110	3	determination	determination	NOUN
fis-1552	110	4	of	of	ADP
fis-1552	110	5	expected	expect	VERB
fis-1552	110	6	critical	critical	ADJ
fis-1552	110	7	plane	plane	NOUN
fis-1552	110	8	position	position	NOUN
fis-1552	110	9	using	use	VERB
fis-1552	110	10	variance	variance	NOUN
fis-1552	110	11	method	method	NOUN
fis-1552	110	12	for	for	ADP
fis-1552	110	13	time	time	NOUN
fis-1552	110	14	histories	history	NOUN
fis-1552	110	15	gives	give	VERB
fis-1552	110	16	results	result	NOUN
fis-1552	110	17	equivalent	equivalent	ADJ
fis-1552	110	18	to	to	ADP
fis-1552	110	19	the	the	DET
fis-1552	110	20	function	function	NOUN
fis-1552	110	21	of	of	ADP
fis-1552	110	22	power	power	NOUN
fis-1552	110	23	spectral	spectral	ADJ
fis-1552	110	24	density	density	NOUN
fis-1552	110	25	.	.	PUNCT
fis-1552	111	1	then	then	ADV
fis-1552	111	2	,	,	PUNCT
fis-1552	111	3	professor	professor	PROPN
fis-1552	111	4	macha	macha	PROPN
fis-1552	111	5	focused	focus	VERB
fis-1552	111	6	his	his	PRON
fis-1552	111	7	attention	attention	NOUN
fis-1552	111	8	on	on	ADP
fis-1552	111	9	stress	stress	ADJ
fis-1552	111	10	distribution	distribution	NOUN
fis-1552	111	11	in	in	ADP
fis-1552	111	12	notch	notch	ADJ
fis-1552	111	13	root	root	NOUN
fis-1552	111	14	.	.	PUNCT
fis-1552	112	1	like	like	INTJ
fis-1552	112	2	in	in	ADP
fis-1552	112	3	neuber	neuber	NOUN
fis-1552	112	4	[	[	X
fis-1552	112	5	16	16	NUM
fis-1552	112	6	]	]	PUNCT
fis-1552	112	7	and	and	CCONJ
fis-1552	112	8	molski	molski	ADJ
fis-1552	112	9	-	-	PUNCT
fis-1552	112	10	glinka	glinka	NOUN
fis-1552	112	11	[	[	X
fis-1552	112	12	17	17	NUM
fis-1552	112	13	]	]	PUNCT
fis-1552	112	14	criteria	criterion	NOUN
fis-1552	112	15	,	,	PUNCT
fis-1552	112	16	łagoda	łagoda	NOUN
fis-1552	112	17	-	-	PUNCT
fis-1552	112	18	macha	macha	PROPN
fis-1552	112	19	[	[	X
fis-1552	112	20	18	18	NUM
fis-1552	112	21	]	]	PUNCT
fis-1552	112	22	proposed	propose	VERB
fis-1552	112	23	an	an	DET
fis-1552	112	24	energy	energy	NOUN
fis-1552	112	25	equation	equation	NOUN
fis-1552	112	26	for	for	ADP
fis-1552	112	27	determining	determine	VERB
fis-1552	112	28	the	the	DET
fis-1552	112	29	state	state	NOUN
fis-1552	112	30	of	of	ADP
fis-1552	112	31	stresses	stress	NOUN
fis-1552	112	32	in	in	ADP
fis-1552	112	33	notch	notch	ADJ
fis-1552	112	34	bottom	bottom	NOUN
fis-1552	112	35	as	as	ADP
fis-1552	112	36	12	12	NUM
fis-1552	112	37	max	max	PROPN
fis-1552	112	38	max	max	PROPN
fis-1552	112	39	max	max	PROPN
fis-1552	112	40	1	1	NUM
fis-1552	112	41	2	2	NUM
fis-1552	112	42	1	1	NUM
fis-1552	112	43	n	n	NUM
fis-1552	112	44	lm	lm	INTJ
fis-1552	112	45	n	n	PRON
fis-1552	112	46	w	w	PROPN
fis-1552	112	47	e	e	PROPN
fis-1552	112	48	n	n	CCONJ
fis-1552	112	49	k	k	PROPN
fis-1552	112	50			X
fis-1552	112	51			X
fis-1552	112	52			PROPN
fis-1552	112	53			PROPN
fis-1552	112	54			PROPN
fis-1552	112	55			PROPN
fis-1552	112	56			PROPN
fis-1552	112	57			PROPN
fis-1552	112	58			PROPN
fis-1552	112	59			PUNCT
fis-1552	113	1			ADJ
fis-1552	113	2			NOUN
fis-1552	113	3	,	,	PUNCT
fis-1552	113	4	(	(	PUNCT
fis-1552	113	5	13	13	NUM
fis-1552	113	6	)	)	PUNCT
fis-1552	113	7	where	where	SCONJ
fis-1552	113	8	:	:	PUNCT
fis-1552	113	9	nexponent	nexponent	NOUN
fis-1552	113	10	of	of	ADP
fis-1552	113	11	cyclic	cyclic	ADJ
fis-1552	113	12	strain	strain	NOUN
fis-1552	113	13	curve	curve	NOUN
fis-1552	113	14	,	,	PUNCT
fis-1552	113	15	k	k	VERB
fis-1552	113	16	coefficient	coefficient	NOUN
fis-1552	113	17	of	of	ADP
fis-1552	113	18	cyclic	cyclic	ADJ
fis-1552	113	19	strain	strain	NOUN
fis-1552	113	20	curve	curve	NOUN
fis-1552	113	21	.	.	PUNCT
fis-1552	114	1	experimental	experimental	ADJ
fis-1552	114	2	verification	verification	NOUN
fis-1552	114	3	proved	prove	VERB
fis-1552	114	4	that	that	SCONJ
fis-1552	114	5	the	the	DET
fis-1552	114	6	values	value	NOUN
fis-1552	114	7	obtained	obtain	VERB
fis-1552	114	8	through	through	ADP
fis-1552	114	9	this	this	DET
fis-1552	114	10	relation	relation	NOUN
fis-1552	114	11	are	be	AUX
fis-1552	114	12	between	between	ADP
fis-1552	114	13	the	the	DET
fis-1552	114	14	results	result	NOUN
fis-1552	114	15	obtained	obtain	VERB
fis-1552	114	16	using	use	VERB
fis-1552	114	17	neuber	neuber	NOUN
fis-1552	114	18	and	and	CCONJ
fis-1552	114	19	molski	molski	ADJ
fis-1552	114	20	-	-	PUNCT
fis-1552	114	21	glinka	glinka	PROPN
fis-1552	114	22	relations	relation	NOUN
fis-1552	114	23	.	.	PUNCT
fis-1552	115	1	tab	tab	NOUN
fis-1552	115	2	.	.	PUNCT
fis-1552	115	3	1	1	NUM
fis-1552	115	4	contains	contain	VERB
fis-1552	115	5	sample	sample	NOUN
fis-1552	115	6	calculation	calculation	NOUN
fis-1552	115	7	results	result	NOUN
fis-1552	115	8	for	for	ADP
fis-1552	115	9	the	the	DET
fis-1552	115	10	above	above	ADJ
fis-1552	115	11	three	three	NUM
fis-1552	115	12	models	model	NOUN
fis-1552	115	13	[	[	X
fis-1552	115	14	19	19	NUM
fis-1552	115	15	]	]	PUNCT
fis-1552	115	16	.	.	PUNCT
fis-1552	116	1	z.	z.	PROPN
fis-1552	116	2	marciniak	marciniak	PROPN
fis-1552	116	3	et	et	PROPN
fis-1552	116	4	alii	alii	PROPN
fis-1552	116	5	,	,	PUNCT
fis-1552	116	6	frattura	frattura	PROPN
fis-1552	116	7	ed	ed	PROPN
fis-1552	116	8	integrità	integrità	PROPN
fis-1552	116	9	strutturale	strutturale	PROPN
fis-1552	116	10	,	,	PUNCT
fis-1552	116	11	34	34	NUM
fis-1552	116	12	(	(	PUNCT
fis-1552	116	13	2015	2015	NUM
fis-1552	116	14	)	)	PUNCT
fis-1552	116	15	1	1	NUM
fis-1552	116	16	-	-	SYM
fis-1552	116	17	10	10	NUM
fis-1552	116	18	;	;	PUNCT
fis-1552	116	19	doi	doi	NOUN
fis-1552	116	20	:	:	PUNCT
fis-1552	116	21	10.3221	10.3221	NUM
fis-1552	116	22	/	/	SYM
fis-1552	116	23	igf	igf	PROPN
fis-1552	116	24	-	-	NOUN
fis-1552	116	25	esis.34.01	esis.34.01	ADJ
fis-1552	116	26	6	6	NUM
fis-1552	116	27	kt	kt	PROPN
fis-1552	116	28	model	model	PROPN
fis-1552	116	29	neuber	neuber	PROPN
fis-1552	116	30	max	max	PROPN
fis-1552	116	31	(	(	PUNCT
fis-1552	116	32	mpa	mpa	PROPN
fis-1552	116	33	)	)	PUNCT
fis-1552	116	34	molski	molski	ADJ
fis-1552	116	35	-	-	PUNCT
fis-1552	116	36	glinka	glinka	PROPN
fis-1552	116	37	max	max	PROPN
fis-1552	116	38	(	(	PUNCT
fis-1552	116	39	mpa	mpa	PROPN
fis-1552	116	40	)	)	PUNCT
fis-1552	116	41	macha	macha	PROPN
fis-1552	116	42	-	-	PUNCT
fis-1552	116	43	łagoda	łagoda	NOUN
fis-1552	116	44	max	max	NOUN
fis-1552	116	45	(	(	PUNCT
fis-1552	116	46	mpa	mpa	PROPN
fis-1552	116	47	)	)	PUNCT
fis-1552	116	48	9.61	9.61	NUM
fis-1552	116	49	421	421	NUM
fis-1552	116	50	386	386	NUM
fis-1552	116	51	405	405	NUM
fis-1552	116	52	4.30	4.30	NUM
fis-1552	116	53	329	329	NUM
fis-1552	116	54	302	302	NUM
fis-1552	116	55	316	316	NUM
fis-1552	116	56	3.23	3.23	NUM
fis-1552	116	57	294	294	NUM
fis-1552	116	58	270	270	NUM
fis-1552	116	59	282	282	NUM
fis-1552	116	60	1.85	1.85	NUM
fis-1552	116	61	233	233	NUM
fis-1552	116	62	215	215	NUM
fis-1552	116	63	224	224	NUM
fis-1552	116	64	table	table	NOUN
fis-1552	116	65	1	1	NUM
fis-1552	116	66	:	:	PUNCT
fis-1552	116	67	the	the	DET
fis-1552	116	68	presentation	presentation	NOUN
fis-1552	116	69	max	max	ADV
fis-1552	116	70	depending	depend	VERB
fis-1552	116	71	on	on	ADP
fis-1552	116	72	kt	kt	NOUN
fis-1552	116	73	and	and	CCONJ
fis-1552	116	74	strain	strain	VERB
fis-1552	116	75	energy	energy	NOUN
fis-1552	116	76	density	density	NOUN
fis-1552	116	77	models	model	NOUN
fis-1552	116	78	.	.	PUNCT
fis-1552	117	1	professor	professor	PROPN
fis-1552	117	2	macha	macha	PROPN
fis-1552	117	3	was	be	AUX
fis-1552	117	4	interested	interested	ADJ
fis-1552	117	5	most	most	ADV
fis-1552	117	6	in	in	ADP
fis-1552	117	7	energy	energy	NOUN
fis-1552	117	8	criteria	criterion	NOUN
fis-1552	117	9	of	of	ADP
fis-1552	117	10	multiaxial	multiaxial	ADJ
fis-1552	117	11	random	random	ADJ
fis-1552	117	12	fatigue	fatigue	NOUN
fis-1552	117	13	.	.	PUNCT
fis-1552	118	1	in	in	ADP
fis-1552	118	2	this	this	DET
fis-1552	118	3	field	field	NOUN
fis-1552	118	4	,	,	PUNCT
fis-1552	118	5	in	in	ADP
fis-1552	118	6	cooperation	cooperation	NOUN
fis-1552	118	7	with	with	ADP
fis-1552	118	8	łagoda	łagoda	NOUN
fis-1552	118	9	he	he	PRON
fis-1552	118	10	proposed	propose	VERB
fis-1552	118	11	a	a	DET
fis-1552	118	12	generalised	generalised	ADJ
fis-1552	118	13	criterion	criterion	NOUN
fis-1552	118	14	of	of	ADP
fis-1552	118	15	energy	energy	NOUN
fis-1552	118	16	density	density	NOUN
fis-1552	118	17	parameter	parameter	NOUN
fis-1552	118	18	for	for	ADP
fis-1552	118	19	normal	normal	ADJ
fis-1552	118	20	and	and	CCONJ
fis-1552	118	21	shear	shear	NOUN
fis-1552	118	22	strains	strain	NOUN
fis-1552	118	23	in	in	ADP
fis-1552	118	24	critical	critical	ADJ
fis-1552	118	25	plane	plane	NOUN
fis-1552	118	26	,	,	PUNCT
fis-1552	118	27	shown	show	VERB
fis-1552	118	28	as	as	ADP
fis-1552	118	29	[	[	X
fis-1552	118	30	18	18	NUM
fis-1552	118	31	,	,	PUNCT
fis-1552	118	32	20	20	NUM
fis-1552	118	33	]	]	SYM
fis-1552	118	34			ADJ
fis-1552	118	35	max	max	PROPN
fis-1552	118	36	(	(	PUNCT
fis-1552	118	37	)	)	PUNCT
fis-1552	118	38	(	(	PUNCT
fis-1552	118	39	)	)	PUNCT
fis-1552	118	40	ns	ns	NUM
fis-1552	118	41	n	n	PROPN
fis-1552	118	42	t	t	PROPN
fis-1552	118	43	w	w	PROPN
fis-1552	118	44	t	t	PROPN
fis-1552	118	45	w	w	PROPN
fis-1552	118	46	t	t	PROPN
fis-1552	118	47	q	q	NOUN
fis-1552	118	48			X
fis-1552	118	49			PROPN
fis-1552	118	50	or	or	CCONJ
fis-1552	118	51	max	max	PROPN
fis-1552	118	52	(	(	PUNCT
fis-1552	118	53	)	)	PUNCT
fis-1552	118	54	eq	eq	ADP
fis-1552	118	55	t	t	PROPN
fis-1552	118	56	w	w	PROPN
fis-1552	118	57	t	t	PROPN
fis-1552	118	58	q	q	NOUN
fis-1552	118	59			VERB
fis-1552	118	60			PROPN
fis-1552	118	61			PROPN
fis-1552	118	62	(	(	PUNCT
fis-1552	118	63	14	14	NUM
fis-1552	118	64	)	)	PUNCT
fis-1552	118	65	where	where	SCONJ
fis-1552	118	66			NOUN
fis-1552	118	67	,	,	PUNCT
fis-1552	118	68			ADJ
fis-1552	118	69	,	,	PUNCT
fis-1552	118	70	q	q	ADJ
fis-1552	118	71	–	–	PUNCT
fis-1552	118	72	constants	constant	NOUN
fis-1552	118	73	for	for	ADP
fis-1552	118	74	the	the	DET
fis-1552	118	75	selection	selection	NOUN
fis-1552	118	76	of	of	ADP
fis-1552	118	77	a	a	DET
fis-1552	118	78	given	give	VERB
fis-1552	118	79	criterion	criterion	NOUN
fis-1552	118	80	version	version	NOUN
fis-1552	118	81	.	.	PUNCT
fis-1552	119	1	guidelines	guideline	NOUN
fis-1552	119	2	of	of	ADP
fis-1552	119	3	the	the	DET
fis-1552	119	4	proposed	propose	VERB
fis-1552	119	5	criterion	criterion	NOUN
fis-1552	119	6	are	be	AUX
fis-1552	119	7	as	as	SCONJ
fis-1552	119	8	follows	follow	VERB
fis-1552	119	9	[	[	X
fis-1552	119	10	21	21	NUM
fis-1552	119	11	]	]	X
fis-1552	119	12	:	:	PUNCT
fis-1552	119	13	“	"	PUNCT
fis-1552	119	14	a	a	X
fis-1552	119	15	)	)	PUNCT
fis-1552	119	16	this	this	DET
fis-1552	119	17	portion	portion	NOUN
fis-1552	119	18	of	of	ADP
fis-1552	119	19	strain	strain	ADJ
fis-1552	119	20	energy	energy	NOUN
fis-1552	119	21	density	density	NOUN
fis-1552	119	22	is	be	AUX
fis-1552	119	23	responsible	responsible	ADJ
fis-1552	119	24	for	for	ADP
fis-1552	119	25	fatigue	fatigue	NOUN
fis-1552	119	26	crack	crack	NOUN
fis-1552	119	27	,	,	PUNCT
fis-1552	119	28	which	which	PRON
fis-1552	119	29	matches	match	VERB
fis-1552	119	30	the	the	DET
fis-1552	119	31	work	work	NOUN
fis-1552	119	32	of	of	ADP
fis-1552	119	33	normal	normal	ADJ
fis-1552	119	34	stress	stress	NOUN
fis-1552	119	35	n	n	PROPN
fis-1552	119	36	(	(	PUNCT
fis-1552	119	37	t	t	PROPN
fis-1552	119	38	)	)	PUNCT
fis-1552	119	39	in	in	ADP
fis-1552	119	40	normal	normal	ADJ
fis-1552	119	41	strain	strain	NOUN
fis-1552	119	42	n(t	n(t	NUM
fis-1552	119	43	)	)	PUNCT
fis-1552	119	44	,	,	PUNCT
fis-1552	119	45	that	that	ADV
fis-1552	119	46	is	be	AUX
fis-1552	119	47	wn(t	wn(t	PUNCT
fis-1552	119	48	)	)	PUNCT
fis-1552	119	49	and	and	CCONJ
fis-1552	119	50	work	work	NOUN
fis-1552	119	51	of	of	ADP
fis-1552	119	52	shear	shear	NOUN
fis-1552	119	53	stress	stress	NOUN
fis-1552	119	54	ns(t	ns(t	PROPN
fis-1552	119	55	)	)	PUNCT
fis-1552	119	56	in	in	ADP
fis-1552	119	57	a	a	DET
fis-1552	119	58	shear	shear	NOUN
fis-1552	119	59	strain	strain	NOUN
fis-1552	119	60	ns(t	ns(t	NOUN
fis-1552	119	61	)	)	PUNCT
fis-1552	119	62	in	in	ADP
fis-1552	119	63	the	the	DET
fis-1552	119	64	direction	direction	NOUN
fis-1552	119	65	s	s	VERB
fis-1552	119	66	in	in	ADP
fis-1552	119	67	plane	plane	NOUN
fis-1552	119	68	with	with	ADP
fis-1552	119	69	normal	normal	ADJ
fis-1552	119	70	n	n	NOUN
fis-1552	119	71	,	,	PUNCT
fis-1552	119	72	that	that	PRON
fis-1552	119	73	is	be	AUX
fis-1552	119	74	wns(t	wns(t	PROPN
fis-1552	119	75	)	)	PUNCT
fis-1552	119	76	,	,	PUNCT
fis-1552	119	77	b	b	X
fis-1552	119	78	)	)	PUNCT
fis-1552	119	79	direction	direction	NOUN
fis-1552	119	80	s	s	VERB
fis-1552	119	81	in	in	ADP
fis-1552	119	82	the	the	DET
fis-1552	119	83	critical	critical	ADJ
fis-1552	119	84	plane	plane	NOUN
fis-1552	119	85	matches	match	VERB
fis-1552	119	86	average	average	ADJ
fis-1552	119	87	direction	direction	NOUN
fis-1552	119	88	,	,	PUNCT
fis-1552	119	89	in	in	ADP
fis-1552	119	90	which	which	PRON
fis-1552	119	91	density	density	NOUN
fis-1552	119	92	of	of	ADP
fis-1552	119	93	shear	shear	NOUN
fis-1552	119	94	strain	strain	NOUN
fis-1552	119	95	energy	energy	NOUN
fis-1552	119	96	is	be	AUX
fis-1552	119	97	maximal	maximal	ADJ
fis-1552	119	98	,	,	PUNCT
fis-1552	119	99	c	c	NOUN
fis-1552	119	100	)	)	PUNCT
fis-1552	119	101	in	in	ADP
fis-1552	119	102	boundary	boundary	ADJ
fis-1552	119	103	state	state	NOUN
fis-1552	119	104	,	,	PUNCT
fis-1552	119	105	material	material	NOUN
fis-1552	119	106	effort	effort	NOUN
fis-1552	119	107	is	be	AUX
fis-1552	119	108	determined	determine	VERB
fis-1552	119	109	by	by	ADP
fis-1552	119	110	the	the	DET
fis-1552	119	111	maximum	maximum	ADJ
fis-1552	119	112	value	value	NOUN
fis-1552	119	113	of	of	ADP
fis-1552	119	114	linear	linear	ADJ
fis-1552	119	115	combination	combination	NOUN
fis-1552	119	116	of	of	ADP
fis-1552	119	117	energy	energy	NOUN
fis-1552	119	118	parameters	parameter	NOUN
fis-1552	119	119	wn(t	wn(t	PUNCT
fis-1552	119	120	)	)	PUNCT
fis-1552	119	121	and	and	CCONJ
fis-1552	119	122	wns(t	wns(t	PROPN
fis-1552	119	123	)	)	PUNCT
fis-1552	119	124	.	.	PUNCT
fis-1552	119	125	”	"	PUNCT
fis-1552	120	1	for	for	ADP
fis-1552	120	2	uniaxial	uniaxial	ADJ
fis-1552	120	3	stress	stress	NOUN
fis-1552	120	4	state	state	NOUN
fis-1552	120	5	,	,	PUNCT
fis-1552	120	6	strain	strain	VERB
fis-1552	120	7	energy	energy	NOUN
fis-1552	120	8	density	density	NOUN
fis-1552	120	9	parameter	parameter	NOUN
fis-1552	120	10	is	be	AUX
fis-1552	120	11	expressed	express	VERB
fis-1552	120	12	as	as	ADP
fis-1552	120	13			ADJ
fis-1552	120	14			PUNCT
fis-1552	120	15			ADJ
fis-1552	120	16			ADP
fis-1552	120	17			ADJ
fis-1552	120	18	sgn	sgn	NOUN
fis-1552	120	19	(	(	PUNCT
fis-1552	120	20	)	)	PUNCT
fis-1552	120	21	sgn	sgn	NOUN
fis-1552	120	22	(	(	PUNCT
fis-1552	120	23	)	)	PUNCT
fis-1552	120	24	(	(	PUNCT
fis-1552	120	25	)	)	PUNCT
fis-1552	120	26	0.5	0.5	NUM
fis-1552	120	27	(	(	PUNCT
fis-1552	120	28	)	)	PUNCT
fis-1552	120	29	(	(	PUNCT
fis-1552	120	30	)	)	PUNCT
fis-1552	120	31	sgn	sgn	NOUN
fis-1552	120	32	(	(	PUNCT
fis-1552	120	33	)	)	PUNCT
fis-1552	120	34	,	,	PUNCT
fis-1552	120	35	(	(	PUNCT
fis-1552	120	36	)	)	PUNCT
fis-1552	120	37	0.5	0.5	NUM
fis-1552	120	38	(	(	PUNCT
fis-1552	120	39	)	)	PUNCT
fis-1552	120	40	(	(	PUNCT
fis-1552	120	41	)	)	PUNCT
fis-1552	120	42	2	2	NUM
fis-1552	120	43	t	t	NOUN
fis-1552	120	44	t	t	PROPN
fis-1552	120	45	w	w	PROPN
fis-1552	120	46	t	t	PROPN
fis-1552	120	47	t	t	PROPN
fis-1552	120	48	t	t	PROPN
fis-1552	120	49	t	t	PROPN
fis-1552	120	50	t	t	PROPN
fis-1552	120	51	t	t	PROPN
fis-1552	120	52	t	t	PROPN
fis-1552	120	53			PROPN
fis-1552	120	54			PROPN
fis-1552	120	55			PROPN
fis-1552	120	56			PROPN
fis-1552	120	57			PROPN
fis-1552	120	58			PROPN
fis-1552	120	59			PROPN
fis-1552	120	60			PROPN
fis-1552	120	61			VERB
fis-1552	120	62			PROPN
fis-1552	120	63			ADJ
fis-1552	120	64	.	.	PUNCT
fis-1552	121	1	(	(	PUNCT
fis-1552	121	2	15	15	NUM
fis-1552	121	3	)	)	PUNCT
fis-1552	121	4	for	for	ADP
fis-1552	121	5	multiaxial	multiaxial	ADJ
fis-1552	121	6	stress	stress	NOUN
fis-1552	121	7	state	state	NOUN
fis-1552	121	8	,	,	PUNCT
fis-1552	121	9	the	the	DET
fis-1552	121	10	course	course	NOUN
fis-1552	121	11	of	of	ADP
fis-1552	121	12	equivalent	equivalent	ADJ
fis-1552	121	13	strain	strain	NOUN
fis-1552	121	14	energy	energy	NOUN
fis-1552	121	15	density	density	NOUN
fis-1552	121	16	parameter	parameter	NOUN
fis-1552	121	17	is	be	AUX
fis-1552	121	18	calculated	calculate	VERB
fis-1552	121	19	in	in	ADP
fis-1552	121	20	the	the	DET
fis-1552	121	21	critical	critical	ADJ
fis-1552	121	22	plane	plane	NOUN
fis-1552	121	23	with	with	ADP
fis-1552	121	24	normal	normal	ADJ
fis-1552	121	25	n	n	NOUN
fis-1552	121	26	and	and	CCONJ
fis-1552	121	27	shear	shear	ADJ
fis-1552	121	28	direction	direction	NOUN
fis-1552	121	29	s	s	VERB
fis-1552	121	30	as	as	ADP
fis-1552	121	31			ADJ
fis-1552	121	32			ADP
fis-1552	121	33			NOUN
fis-1552	121	34			PROPN
fis-1552	121	35	(	(	PUNCT
fis-1552	121	36	)	)	PUNCT
fis-1552	121	37	(	(	PUNCT
fis-1552	121	38	)	)	PUNCT
fis-1552	121	39	(	(	PUNCT
fis-1552	121	40	)	)	PUNCT
fis-1552	121	41	0.5	0.5	NUM
fis-1552	121	42	(	(	PUNCT
fis-1552	121	43	)	)	PUNCT
fis-1552	121	44	(	(	PUNCT
fis-1552	121	45	)	)	PUNCT
fis-1552	121	46	sgn	sgn	NOUN
fis-1552	121	47	(	(	PUNCT
fis-1552	121	48	)	)	PUNCT
fis-1552	121	49	,	,	PUNCT
fis-1552	121	50	(	(	PUNCT
fis-1552	121	51	)	)	PUNCT
fis-1552	121	52	0.5	0.5	NUM
fis-1552	121	53	(	(	PUNCT
fis-1552	121	54	)	)	PUNCT
fis-1552	121	55	(	(	PUNCT
fis-1552	121	56	)	)	PUNCT
fis-1552	121	57	sgn	sgn	NOUN
fis-1552	121	58	(	(	PUNCT
fis-1552	121	59	)	)	PUNCT
fis-1552	121	60	,	,	PUNCT
fis-1552	121	61	(	(	PUNCT
fis-1552	121	62	)	)	PUNCT
fis-1552	121	63	eq	eq	NOUN
fis-1552	122	1	ns	ns	NUM
fis-1552	122	2	n	n	CCONJ
fis-1552	122	3	n	n	CCONJ
fis-1552	122	4	n	n	CCONJ
fis-1552	122	5	n	n	CCONJ
fis-1552	122	6	n	n	CCONJ
fis-1552	122	7	ns	ns	NUM
fis-1552	122	8	ns	ns	NUM
fis-1552	122	9	ns	ns	NUM
fis-1552	122	10	ns	ns	PROPN
fis-1552	122	11	w	w	PROPN
fis-1552	122	12	t	t	PROPN
fis-1552	122	13	w	w	PROPN
fis-1552	122	14	t	t	PROPN
fis-1552	122	15	w	w	PROPN
fis-1552	122	16	t	t	PROPN
fis-1552	122	17	t	t	PROPN
fis-1552	122	18	t	t	PROPN
fis-1552	122	19	t	t	PROPN
fis-1552	122	20	t	t	PROPN
fis-1552	122	21	t	t	PROPN
fis-1552	122	22	t	t	PROPN
fis-1552	122	23	t	t	PROPN
fis-1552	122	24	t	t	PROPN
fis-1552	122	25			PROPN
fis-1552	122	26			VERB
fis-1552	122	27			PROPN
fis-1552	122	28			PROPN
fis-1552	122	29			PROPN
fis-1552	122	30			PROPN
fis-1552	122	31			NOUN
fis-1552	122	32			PROPN
fis-1552	122	33			PROPN
fis-1552	122	34			PROPN
fis-1552	122	35			NUM
fis-1552	122	36			ADV
fis-1552	122	37			PROPN
fis-1552	122	38			PUNCT
fis-1552	122	39	.	.	PUNCT
fis-1552	123	1	(	(	PUNCT
fis-1552	123	2	16	16	NUM
fis-1552	123	3	)	)	PUNCT
fis-1552	123	4	the	the	DET
fis-1552	123	5	proposed	propose	VERB
fis-1552	123	6	energy	energy	NOUN
fis-1552	123	7	criterion	criterion	NOUN
fis-1552	123	8	in	in	ADP
fis-1552	123	9	the	the	DET
fis-1552	123	10	critical	critical	ADJ
fis-1552	123	11	plane	plane	NOUN
fis-1552	123	12	is	be	AUX
fis-1552	123	13	applicable	applicable	ADJ
fis-1552	123	14	for	for	ADP
fis-1552	123	15	cyclic	cyclic	ADJ
fis-1552	123	16	and	and	CCONJ
fis-1552	123	17	random	random	ADJ
fis-1552	123	18	loads	load	NOUN
fis-1552	123	19	for	for	ADP
fis-1552	123	20	small	small	ADJ
fis-1552	123	21	and	and	CCONJ
fis-1552	123	22	large	large	ADJ
fis-1552	123	23	number	number	NOUN
fis-1552	123	24	of	of	ADP
fis-1552	123	25	cycles	cycle	NOUN
fis-1552	123	26	.	.	PUNCT
fis-1552	124	1	depending	depend	VERB
fis-1552	124	2	on	on	ADP
fis-1552	124	3	the	the	DET
fis-1552	124	4	coefficients	coefficient	NOUN
fis-1552	124	5	chosen	choose	VERB
fis-1552	124	6	,	,	PUNCT
fis-1552	124	7	different	different	ADJ
fis-1552	124	8	criteria	criterion	NOUN
fis-1552	124	9	are	be	AUX
fis-1552	124	10	obtained	obtain	VERB
fis-1552	124	11	and	and	CCONJ
fis-1552	124	12	thus	thus	ADV
fis-1552	124	13	,	,	PUNCT
fis-1552	124	14	for	for	ADP
fis-1552	124	15	:	:	PUNCT
fis-1552	124	16			NOUN
fis-1552	124	17	=	=	SYM
fis-1552	124	18	0	0	NUM
fis-1552	124	19	,	,	PUNCT
fis-1552	124	20			VERB
fis-1552	124	21	=	=	SYM
fis-1552	124	22	1	1	NUM
fis-1552	124	23	we	we	PRON
fis-1552	124	24	have	have	VERB
fis-1552	124	25	the	the	DET
fis-1552	124	26	criterion	criterion	NOUN
fis-1552	124	27	of	of	ADP
fis-1552	124	28	maximum	maximum	ADJ
fis-1552	124	29	energy	energy	NOUN
fis-1552	124	30	density	density	NOUN
fis-1552	124	31	for	for	ADP
fis-1552	124	32	normal	normal	ADJ
fis-1552	124	33	strain	strain	NOUN
fis-1552	124	34	in	in	ADP
fis-1552	124	35	the	the	DET
fis-1552	124	36	critical	critical	ADJ
fis-1552	124	37	plane	plane	NOUN
fis-1552	124	38	,	,	PUNCT
fis-1552	124	39			NOUN
fis-1552	124	40	=	=	SYM
fis-1552	124	41	1	1	NUM
fis-1552	124	42	,	,	PUNCT
fis-1552	124	43			VERB
fis-1552	124	44	=	=	SYM
fis-1552	124	45	0	0	NUM
fis-1552	124	46	we	we	PRON
fis-1552	124	47	have	have	VERB
fis-1552	124	48	the	the	DET
fis-1552	124	49	criterion	criterion	NOUN
fis-1552	124	50	of	of	ADP
fis-1552	124	51	maximum	maximum	ADJ
fis-1552	124	52	energy	energy	NOUN
fis-1552	124	53	density	density	NOUN
fis-1552	124	54	for	for	ADP
fis-1552	124	55	shear	shear	NOUN
fis-1552	124	56	strain	strain	NOUN
fis-1552	124	57	in	in	ADP
fis-1552	124	58	the	the	DET
fis-1552	124	59	critical	critical	ADJ
fis-1552	124	60	plane	plane	NOUN
fis-1552	124	61	,	,	PUNCT
fis-1552	124	62			NOUN
fis-1552	124	63	=	=	SYM
fis-1552	124	64	1	1	NUM
fis-1552	124	65	,	,	PUNCT
fis-1552	124	66			VERB
fis-1552	124	67	=	=	SYM
fis-1552	124	68	1	1	NUM
fis-1552	124	69	we	we	PRON
fis-1552	124	70	have	have	VERB
fis-1552	124	71	the	the	DET
fis-1552	124	72	criterion	criterion	NOUN
fis-1552	124	73	of	of	ADP
fis-1552	124	74	maximum	maximum	ADJ
fis-1552	124	75	energy	energy	NOUN
fis-1552	124	76	density	density	NOUN
fis-1552	124	77	for	for	ADP
fis-1552	124	78	normal	normal	ADJ
fis-1552	124	79	and	and	CCONJ
fis-1552	124	80	shear	shear	NOUN
fis-1552	124	81	strain	strain	NOUN
fis-1552	124	82	in	in	ADP
fis-1552	124	83	the	the	DET
fis-1552	124	84	critical	critical	ADJ
fis-1552	124	85	plane	plane	NOUN
fis-1552	124	86	.	.	PUNCT
fis-1552	125	1	when	when	SCONJ
fis-1552	125	2	applying	apply	VERB
fis-1552	125	3	energy	energy	NOUN
fis-1552	125	4	fatigue	fatigue	NOUN
fis-1552	125	5	criteria	criterion	NOUN
fis-1552	125	6	to	to	PART
fis-1552	125	7	assess	assess	VERB
fis-1552	125	8	life	life	NOUN
fis-1552	125	9	,	,	PUNCT
fis-1552	125	10	energy	energy	NOUN
fis-1552	125	11	characteristics	characteristic	NOUN
fis-1552	125	12	are	be	AUX
fis-1552	125	13	used	use	VERB
fis-1552	125	14	,	,	PUNCT
fis-1552	125	15	developed	develop	VERB
fis-1552	125	16	as	as	ADP
fis-1552	125	17	a	a	DET
fis-1552	125	18	result	result	NOUN
fis-1552	125	19	of	of	ADP
fis-1552	125	20	the	the	DET
fis-1552	125	21	coffinmanson	coffinmanson	NOUN
fis-1552	125	22	-	-	PUNCT
fis-1552	125	23	basquin	basquin	ADJ
fis-1552	125	24	characteristic	characteristic	ADJ
fis-1552	125	25	multiplication	multiplication	NOUN
fis-1552	126	1	[	[	X
fis-1552	126	2	22	22	NUM
fis-1552	126	3	-	-	SYM
fis-1552	126	4	24	24	NUM
fis-1552	126	5	]	]	PUNCT
fis-1552	126	6	by	by	ADP
fis-1552	126	7	stress	stress	NOUN
fis-1552	126	8	amplitude	amplitude	NOUN
fis-1552	126	9	determined	determine	VERB
fis-1552	126	10	for	for	ADP
fis-1552	126	11	specimen	speciman	NOUN
fis-1552	126	12	half	half	ADJ
fis-1552	126	13	-	-	PUNCT
fis-1552	126	14	life	life	NOUN
fis-1552	126	15	.	.	PUNCT
fis-1552	127	1	however	however	ADV
fis-1552	127	2	,	,	PUNCT
fis-1552	127	3	this	this	DET
fis-1552	127	4	characteristic	characteristic	ADJ
fis-1552	127	5	not	not	PART
fis-1552	127	6	fully	fully	ADV
fis-1552	127	7	illustrates	illustrate	VERB
fis-1552	127	8	the	the	DET
fis-1552	127	9	behaviour	behaviour	NOUN
fis-1552	127	10	of	of	ADP
fis-1552	127	11	cyclically	cyclically	ADV
fis-1552	127	12	unstable	unstable	ADJ
fis-1552	127	13	materials	material	NOUN
fis-1552	127	14	.	.	PUNCT
fis-1552	128	1	being	be	AUX
fis-1552	128	2	aware	aware	ADJ
fis-1552	128	3	of	of	ADP
fis-1552	128	4	these	these	DET
fis-1552	128	5	differences	difference	NOUN
fis-1552	128	6	,	,	PUNCT
fis-1552	128	7	professor	professor	NOUN
fis-1552	128	8	macha	macha	PROPN
fis-1552	128	9	and	and	CCONJ
fis-1552	128	10	słowik	słowik	PROPN
fis-1552	128	11	proposed	propose	VERB
fis-1552	128	12	a	a	DET
fis-1552	128	13	new	new	ADJ
fis-1552	128	14	model	model	NOUN
fis-1552	128	15	to	to	PART
fis-1552	128	16	determine	determine	VERB
fis-1552	128	17	energy	energy	NOUN
fis-1552	128	18	fatigue	fatigue	NOUN
fis-1552	128	19	characteristics	characteristic	NOUN
fis-1552	128	20	directly	directly	ADV
fis-1552	128	21	from	from	ADP
fis-1552	128	22	experimental	experimental	ADJ
fis-1552	128	23	research	research	NOUN
fis-1552	128	24	.	.	PUNCT
fis-1552	129	1	this	this	DET
fis-1552	129	2	model	model	NOUN
fis-1552	129	3	is	be	AUX
fis-1552	129	4	described	describe	VERB
fis-1552	129	5	as	as	ADP
fis-1552	129	6	[	[	X
fis-1552	129	7	25	25	NUM
fis-1552	129	8	]	]	X
fis-1552	129	9			NOUN
fis-1552	129	10			SYM
fis-1552	129	11			NOUN
fis-1552	129	12			SYM
fis-1552	129	13			NOUN
fis-1552	129	14	0.5	0.5	NOUN
fis-1552	129	15	pl	pl	NOUN
fis-1552	129	16	iw	iw	PROPN
fis-1552	129	17	t	t	PROPN
fis-1552	129	18	t	t	PROPN
fis-1552	129	19	t	t	PROPN
fis-1552	129	20			PROPN
fis-1552	129	21			PROPN
fis-1552	129	22			ADJ
fis-1552	129	23			NOUN
fis-1552	129	24	,	,	PUNCT
fis-1552	129	25	(	(	PUNCT
fis-1552	129	26	17	17	NUM
fis-1552	129	27	)	)	PUNCT
fis-1552	129	28	where	where	SCONJ
fis-1552	129	29	ipl	ipl	NUM
fis-1552	129	30	=	=	SYM
fis-1552	129	31	(ti	(ti	NOUN
fis-1552	129	32	)	)	PUNCT
fis-1552	129	33	for	for	ADP
fis-1552	129	34	(ti	(ti	NOUN
fis-1552	129	35	)	)	PUNCT
fis-1552	129	36	=	=	SYM
fis-1552	129	37	0	0	PUNCT
fis-1552	130	1	and	and	CCONJ
fis-1552	130	2	i	i	PRON
fis-1552	130	3	=	=	NOUN
fis-1552	130	4	1	1	NUM
fis-1552	130	5	,	,	PUNCT
fis-1552	130	6	2	2	NUM
fis-1552	130	7	,	,	PUNCT
fis-1552	130	8	3	3	NUM
fis-1552	130	9	,	,	PUNCT
fis-1552	130	10	....	....	PUNCT
fis-1552	130	11	are	be	AUX
fis-1552	130	12	successive	successive	ADJ
fis-1552	130	13	numbers	number	NOUN
fis-1552	130	14	of	of	ADP
fis-1552	130	15	the	the	DET
fis-1552	130	16	hysteresis	hysteresis	NOUN
fis-1552	130	17	loop	loop	NOUN
fis-1552	130	18	(	(	PUNCT
fis-1552	130	19	σ	σ	PROPN
fis-1552	130	20	-	-	PUNCT
fis-1552	130	21	ε	ε	PROPN
fis-1552	130	22	)	)	PUNCT
fis-1552	130	23	.	.	PUNCT
fis-1552	131	1	z.	z.	PROPN
fis-1552	131	2	marciniak	marciniak	PROPN
fis-1552	131	3	et	et	PROPN
fis-1552	131	4	alii	alii	PROPN
fis-1552	131	5	,	,	PUNCT
fis-1552	131	6	frattura	frattura	PROPN
fis-1552	131	7	ed	ed	PROPN
fis-1552	131	8	integrità	integrità	PROPN
fis-1552	131	9	strutturale	strutturale	PROPN
fis-1552	131	10	,	,	PUNCT
fis-1552	131	11	34	34	NUM
fis-1552	131	12	(	(	PUNCT
fis-1552	131	13	2015	2015	NUM
fis-1552	131	14	)	)	PUNCT
fis-1552	131	15	1	1	NUM
fis-1552	131	16	-	-	SYM
fis-1552	131	17	10	10	NUM
fis-1552	131	18	;	;	PUNCT
fis-1552	131	19	doi	doi	NOUN
fis-1552	131	20	:	:	PUNCT
fis-1552	131	21	10.3221	10.3221	NUM
fis-1552	131	22	/	/	SYM
fis-1552	131	23	igf	igf	PROPN
fis-1552	131	24	-	-	NOUN
fis-1552	131	25	esis.34.01	esis.34.01	NOUN
fis-1552	131	26	7	7	NUM
fis-1552	131	27	in	in	ADP
fis-1552	131	28	eq	eq	ADP
fis-1552	131	29	.	.	PUNCT
fis-1552	131	30	(	(	PUNCT
fis-1552	131	31	17	17	NUM
fis-1552	131	32	)	)	PUNCT
fis-1552	131	33	,	,	PUNCT
fis-1552	131	34	w(t	w(t	PROPN
fis-1552	131	35	)	)	PUNCT
fis-1552	131	36	,	,	PUNCT
fis-1552	131	37	σ(t	σ(t	PROPN
fis-1552	131	38	)	)	PUNCT
fis-1552	131	39	,	,	PUNCT
fis-1552	131	40	ε(t	ε(t	NOUN
fis-1552	131	41	)	)	PUNCT
fis-1552	131	42	are	be	AUX
fis-1552	131	43	continuous	continuous	ADJ
fis-1552	131	44	functions	function	NOUN
fis-1552	131	45	of	of	ADP
fis-1552	131	46	time	time	NOUN
fis-1552	131	47	t	t	PROPN
fis-1552	131	48	,	,	PUNCT
fis-1552	131	49	and	and	CCONJ
fis-1552	131	50	εipl	εipl	NOUN
fis-1552	131	51	and	and	CCONJ
fis-1552	131	52	εi+1pl	εi+1pl	NOUN
fis-1552	131	53	are	be	AUX
fis-1552	131	54	constant	constant	ADJ
fis-1552	131	55	values	value	NOUN
fis-1552	131	56	in	in	ADP
fis-1552	131	57	time	time	NOUN
fis-1552	131	58	t	t	NOUN
fis-1552	131	59	in	in	ADP
fis-1552	131	60	the	the	DET
fis-1552	131	61	hysteresis	hysteresis	NOUN
fis-1552	131	62	loop	loop	NOUN
fis-1552	131	63	with	with	ADP
fis-1552	131	64	the	the	DET
fis-1552	131	65	number	number	NOUN
fis-1552	131	66	i	i	PRON
fis-1552	131	67	,	,	PUNCT
fis-1552	131	68	while	while	SCONJ
fis-1552	131	69	ipl	ipl	NOUN
fis-1552	131	70	is	be	AUX
fis-1552	131	71	the	the	DET
fis-1552	131	72	plastic	plastic	ADJ
fis-1552	131	73	strain	strain	NOUN
fis-1552	131	74	registered	register	VERB
fis-1552	131	75	in	in	ADP
fis-1552	131	76	the	the	DET
fis-1552	131	77	moment	moment	NOUN
fis-1552	132	1	ti	ti	NOUN
fis-1552	132	2	,	,	PUNCT
fis-1552	132	3	when	when	SCONJ
fis-1552	132	4	the	the	DET
fis-1552	132	5	stress	stress	NOUN
fis-1552	132	6	(ti	(ti	NOUN
fis-1552	132	7	)	)	PUNCT
fis-1552	132	8	is	be	AUX
fis-1552	132	9	equal	equal	ADJ
fis-1552	132	10	to	to	ADP
fis-1552	132	11	zero	zero	NUM
fis-1552	132	12	,	,	PUNCT
fis-1552	132	13	and	and	CCONJ
fis-1552	132	14	remains	remain	VERB
fis-1552	132	15	constant	constant	ADJ
fis-1552	132	16	to	to	ADP
fis-1552	132	17	the	the	DET
fis-1552	132	18	moment	moment	NOUN
fis-1552	132	19	ti+1	ti+1	INTJ
fis-1552	132	20	when	when	SCONJ
fis-1552	132	21	the	the	DET
fis-1552	132	22	stress	stress	NOUN
fis-1552	132	23	reaches	reach	VERB
fis-1552	132	24	zero	zero	NUM
fis-1552	132	25	again	again	ADV
fis-1552	132	26	,	,	PUNCT
fis-1552	132	27	i.e.	i.e.	X
fis-1552	132	28	(ti+1	(ti+1	X
fis-1552	132	29	)	)	PUNCT
fis-1552	132	30	=	=	SYM
fis-1552	133	1	0	0	X
fis-1552	133	2	.	.	PUNCT
fis-1552	134	1	then	then	ADV
fis-1552	134	2	the	the	DET
fis-1552	134	3	new	new	ADJ
fis-1552	134	4	registered	register	VERB
fis-1552	134	5	value	value	NOUN
fis-1552	134	6	of	of	ADP
fis-1552	134	7	plastic	plastic	ADJ
fis-1552	134	8	strain	strain	NOUN
fis-1552	134	9	i+1pl	i+1pl	ADV
fis-1552	134	10	replaces	replace	VERB
fis-1552	134	11	the	the	DET
fis-1552	134	12	previous	previous	ADJ
fis-1552	134	13	one	one	NUM
fis-1552	134	14	ipl	ipl	NOUN
fis-1552	134	15	.	.	PUNCT
fis-1552	135	1	this	this	DET
fis-1552	135	2	procedure	procedure	NOUN
fis-1552	135	3	is	be	AUX
fis-1552	135	4	repeated	repeat	VERB
fis-1552	135	5	for	for	ADP
fis-1552	135	6	each	each	DET
fis-1552	135	7	cycle	cycle	NOUN
fis-1552	135	8	of	of	ADP
fis-1552	135	9	loading	loading	NOUN
fis-1552	135	10	.	.	PUNCT
fis-1552	136	1	fig	fig	NOUN
fis-1552	136	2	.	.	PUNCT
fis-1552	137	1	3	3	NUM
fis-1552	137	2	shows	show	VERB
fis-1552	137	3	sample	sample	NOUN
fis-1552	137	4	hysteresis	hysteresis	NOUN
fis-1552	137	5	loops	loop	NOUN
fis-1552	137	6	and	and	CCONJ
fis-1552	137	7	energy	energy	NOUN
fis-1552	137	8	parameter	parameter	NOUN
fis-1552	137	9	course	course	NOUN
fis-1552	137	10	calculated	calculate	VERB
fis-1552	137	11	on	on	ADP
fis-1552	137	12	the	the	DET
fis-1552	137	13	basis	basis	NOUN
fis-1552	137	14	of	of	ADP
fis-1552	137	15	variable	variable	ADJ
fis-1552	137	16	-	-	PUNCT
fis-1552	137	17	amplitude	amplitude	NOUN
fis-1552	137	18	history	history	NOUN
fis-1552	137	19	of	of	ADP
fis-1552	137	20	stresses	stress	NOUN
fis-1552	137	21	and	and	CCONJ
fis-1552	137	22	strains	strain	NOUN
fis-1552	137	23	.	.	PUNCT
fis-1552	138	1	energy	energy	NOUN
fis-1552	138	2	parameter	parameter	NOUN
fis-1552	138	3	course	course	NOUN
fis-1552	138	4	calculation	calculation	NOUN
fis-1552	138	5	procedure	procedure	NOUN
fis-1552	138	6	for	for	ADP
fis-1552	138	7	variable	variable	ADJ
fis-1552	138	8	-	-	PUNCT
fis-1552	138	9	amplitude	amplitude	NOUN
fis-1552	138	10	loads	load	NOUN
fis-1552	138	11	:	:	PUNCT
fis-1552	138	12	step	step	NOUN
fis-1552	138	13	1	1	NUM
fis-1552	138	14	.	.	PUNCT
fis-1552	139	1	in	in	ADP
fis-1552	139	2	point	point	NOUN
fis-1552	139	3	0	0	NUM
fis-1552	139	4	,	,	PUNCT
fis-1552	139	5	individual	individual	ADJ
fis-1552	139	6	values	value	NOUN
fis-1552	139	7	of	of	ADP
fis-1552	139	8	stresses	stress	NOUN
fis-1552	139	9	,	,	PUNCT
fis-1552	139	10	strains	strain	NOUN
fis-1552	139	11	and	and	CCONJ
fis-1552	139	12	energy	energy	NOUN
fis-1552	139	13	parameter	parameter	NOUN
fis-1552	139	14	are	be	AUX
fis-1552	139	15	:	:	PUNCT
fis-1552	139	16	σ(t0	σ(t0	NUM
fis-1552	139	17	)	)	PUNCT
fis-1552	140	1	=	=	SYM
fis-1552	140	2	0	0	NUM
fis-1552	140	3	,	,	PUNCT
fis-1552	140	4	ε(t0	ε(t0	NOUN
fis-1552	140	5	)	)	PUNCT
fis-1552	140	6	=	=	SYM
fis-1552	140	7	0	0	NUM
fis-1552	140	8	,	,	PUNCT
fis-1552	140	9	ε0pl=	ε0pl=	NOUN
fis-1552	140	10	0	0	NUM
fis-1552	140	11	,	,	PUNCT
fis-1552	140	12	w(t0	w(t0	PROPN
fis-1552	140	13	)	)	PUNCT
fis-1552	141	1	=	=	SYM
fis-1552	141	2	0	0	X
fis-1552	141	3	.	.	X
fis-1552	142	1	step	step	NOUN
fis-1552	142	2	2	2	NUM
fis-1552	142	3	.	.	PUNCT
fis-1552	143	1	in	in	ADP
fis-1552	143	2	point	point	NOUN
fis-1552	143	3	a	a	PRON
fis-1552	143	4	,	,	PUNCT
fis-1552	143	5	individual	individual	ADJ
fis-1552	143	6	parameters	parameter	NOUN
fis-1552	143	7	have	have	VERB
fis-1552	143	8	the	the	DET
fis-1552	143	9	following	follow	VERB
fis-1552	143	10	values	value	NOUN
fis-1552	143	11	:	:	PUNCT
fis-1552	143	12	σ(ta	σ(ta	NUM
fis-1552	143	13	)	)	PUNCT
fis-1552	143	14	=	=	SYM
fis-1552	143	15	σa	σa	PROPN
fis-1552	143	16	,	,	PUNCT
fis-1552	143	17	ε(ta	ε(ta	ADV
fis-1552	143	18	)	)	PUNCT
fis-1552	143	19	=	=	SYM
fis-1552	143	20	εa	εa	NOUN
fis-1552	143	21	,	,	PUNCT
fis-1552	143	22	εapl=	εapl=	NUM
fis-1552	143	23	ε0pl	ε0pl	X
fis-1552	144	1	=	=	NOUN
fis-1552	144	2	0	0	NUM
fis-1552	144	3	,	,	PUNCT
fis-1552	144	4	w(ta	w(ta	X
fis-1552	144	5	)	)	PUNCT
fis-1552	144	6	=	=	PUNCT
fis-1552	144	7	0.5·σa׀εa	0.5·σa׀εa	NUM
fis-1552	144	8	ε0pl0.5	ε0pl0.5	X
fis-1552	144	9	=	=	SYM
fis-1552	144	10	׀·σa·εa	׀·σa·εa	NOUN
fis-1552	144	11	.	.	NOUN
fis-1552	144	12	step	step	NOUN
fis-1552	144	13	3	3	NUM
fis-1552	144	14	.	.	PUNCT
fis-1552	145	1	then	then	ADV
fis-1552	145	2	,	,	PUNCT
fis-1552	145	3	going	go	VERB
fis-1552	145	4	to	to	PART
fis-1552	145	5	point	point	VERB
fis-1552	145	6	b	b	NOUN
fis-1552	145	7	we	we	PRON
fis-1552	145	8	obtain	obtain	VERB
fis-1552	145	9	:	:	PUNCT
fis-1552	145	10	σ(tb	σ(tb	X
fis-1552	145	11	)	)	PUNCT
fis-1552	145	12	=	=	SYM
fis-1552	145	13	σb=0	σb=0	NOUN
fis-1552	145	14	,	,	PUNCT
fis-1552	145	15	ε(tb	ε(tb	X
fis-1552	145	16	)	)	PUNCT
fis-1552	145	17	=	=	NOUN
fis-1552	145	18	εb	εb	ADP
fis-1552	145	19	=	=	SYM
fis-1552	145	20	0	0	NUM
fis-1552	145	21	,	,	PUNCT
fis-1552	145	22	εbpl=	εbpl=	NUM
fis-1552	145	23	εbpl	εbpl	NOUN
fis-1552	145	24	,	,	PUNCT
fis-1552	145	25	w(tb	w(tb	NOUN
fis-1552	145	26	)	)	PUNCT
fis-1552	145	27	=	=	SYM
fis-1552	145	28	0.5·σb	0.5·σb	PROPN
fis-1552	145	29	·	·	PUNCT
fis-1552	145	30	׀εbεbpl0	׀εbεbpl0	NOUN
fis-1552	145	31	=	=	SYM
fis-1552	145	32	׀	׀	PROPN
fis-1552	145	33	.	.	PUNCT
fis-1552	146	1	step	step	NOUN
fis-1552	146	2	4	4	NUM
fis-1552	146	3	.	.	PUNCT
fis-1552	146	4	point	point	NOUN
fis-1552	146	5	c	c	NOUN
fis-1552	146	6	:	:	PUNCT
fis-1552	146	7	σ(tc	σ(tc	NUM
fis-1552	146	8	)	)	PUNCT
fis-1552	146	9	=	=	SYM
fis-1552	146	10	σc	σc	PROPN
fis-1552	146	11	,	,	PUNCT
fis-1552	146	12	ε(tc	ε(tc	PROPN
fis-1552	146	13	)	)	PUNCT
fis-1552	146	14	=	=	SYM
fis-1552	146	15	εc	εc	PROPN
fis-1552	146	16	,	,	PUNCT
fis-1552	146	17	εcpl=	εcpl=	NUM
fis-1552	146	18	εbpl	εbpl	NOUN
fis-1552	146	19	,	,	PUNCT
fis-1552	146	20	w(tc	w(tc	NOUN
fis-1552	146	21	)	)	PUNCT
fis-1552	146	22	=	=	SYM
fis-1552	146	23	0.5·σc	0.5·σc	NOUN
fis-1552	146	24	·	·	PUNCT
fis-1552	146	25	׀εcεbpl׀	׀εcεbpl׀	NOUN
fis-1552	146	26	.	.	PUNCT
fis-1552	147	1	step	step	NOUN
fis-1552	147	2	5	5	NUM
fis-1552	147	3	.	.	PUNCT
fis-1552	148	1	point	point	NOUN
fis-1552	148	2	d	d	NOUN
fis-1552	148	3	:	:	PUNCT
fis-1552	148	4	σ(td	σ(td	NUM
fis-1552	148	5	)	)	PUNCT
fis-1552	148	6	=	=	SYM
fis-1552	148	7	σd	σd	ADP
fis-1552	148	8	=	=	NOUN
fis-1552	148	9	0	0	NUM
fis-1552	148	10	,	,	PUNCT
fis-1552	148	11	ε(td	ε(td	NUM
fis-1552	148	12	)	)	PUNCT
fis-1552	148	13	=	=	SYM
fis-1552	148	14	εd	εd	ADP
fis-1552	148	15	=	=	PROPN
fis-1552	148	16	0	0	PROPN
fis-1552	148	17	,	,	PUNCT
fis-1552	148	18	εdpl=	εdpl=	PROPN
fis-1552	148	19	εdpl	εdpl	NOUN
fis-1552	148	20	,	,	PUNCT
fis-1552	148	21	w(td	w(td	NUM
fis-1552	148	22	)	)	PUNCT
fis-1552	148	23	=	=	SYM
fis-1552	148	24	0.5·σd·׀εdεdpl0	0.5·σd·׀εdεdpl0	NOUN
fis-1552	148	25	=	=	SYM
fis-1552	148	26	׀	׀	PROPN
fis-1552	148	27	.	.	PUNCT
fis-1552	149	1	step	step	NOUN
fis-1552	149	2	6	6	NUM
fis-1552	149	3	.	.	PUNCT
fis-1552	150	1	point	point	NOUN
fis-1552	150	2	e	e	NOUN
fis-1552	150	3	:	:	PUNCT
fis-1552	150	4	σ(te	σ(te	NOUN
fis-1552	150	5	)	)	PUNCT
fis-1552	150	6	=	=	SYM
fis-1552	150	7	σe	σe	PROPN
fis-1552	150	8	,	,	PUNCT
fis-1552	150	9	ε(te	ε(te	NUM
fis-1552	150	10	)	)	PUNCT
fis-1552	150	11	=	=	SYM
fis-1552	150	12	εe	εe	PROPN
fis-1552	150	13	,	,	PUNCT
fis-1552	150	14	εepl=	εepl=	NUM
fis-1552	150	15	εdpl	εdpl	NOUN
fis-1552	150	16	,	,	PUNCT
fis-1552	150	17	w(te	w(te	ADJ
fis-1552	150	18	)	)	PUNCT
fis-1552	150	19	=	=	SYM
fis-1552	150	20	0.5·σe	0.5·σe	PROPN
fis-1552	150	21	·	·	PUNCT
fis-1552	150	22	׀εeεd׀pl	׀εeεd׀pl	NOUN
fis-1552	150	23	,	,	PUNCT
fis-1552	150	24	etc	etc	X
fis-1552	150	25	.	.	X
fis-1552	150	26	fig	fig	NOUN
fis-1552	150	27	.	.	PUNCT
fis-1552	151	1	3d	3d	PROPN
fis-1552	151	2	presents	present	VERB
fis-1552	151	3	energy	energy	NOUN
fis-1552	151	4	parameter	parameter	NOUN
fis-1552	151	5	course	course	NOUN
fis-1552	151	6	calculated	calculate	VERB
fis-1552	151	7	based	base	VERB
fis-1552	151	8	on	on	ADP
fis-1552	151	9	above	above	ADP
fis-1552	151	10	procedure	procedure	NOUN
fis-1552	151	11	.	.	PUNCT
fis-1552	152	1	figure	figure	VERB
fis-1552	152	2	3	3	NUM
fis-1552	152	3	:	:	PUNCT
fis-1552	152	4	sample	sample	NOUN
fis-1552	152	5	hysteresis	hysteresis	NOUN
fis-1552	152	6	loops	loop	NOUN
fis-1552	152	7	a	a	PRON
fis-1552	152	8	)	)	PUNCT
fis-1552	152	9	,	,	PUNCT
fis-1552	152	10	stress	stress	NOUN
fis-1552	152	11	courses	course	NOUN
fis-1552	152	12	b	b	NOUN
fis-1552	152	13	)	)	PUNCT
fis-1552	152	14	,	,	PUNCT
fis-1552	152	15	strain	strain	VERB
fis-1552	152	16	courses	course	NOUN
fis-1552	152	17	c	c	NOUN
fis-1552	152	18	)	)	PUNCT
fis-1552	152	19	,	,	PUNCT
fis-1552	152	20	energy	energy	NOUN
fis-1552	152	21	parameter	parameter	NOUN
fis-1552	152	22	courses	course	NOUN
fis-1552	152	23	d	d	NOUN
fis-1552	152	24	)	)	PUNCT
fis-1552	152	25	.	.	PUNCT
fis-1552	153	1	fig	fig	NOUN
fis-1552	153	2	.	.	PUNCT
fis-1552	154	1	4	4	NUM
fis-1552	154	2	shows	show	VERB
fis-1552	154	3	energy	energy	NOUN
fis-1552	154	4	fatigue	fatigue	NOUN
fis-1552	154	5	characteristic	characteristic	ADJ
fis-1552	154	6	for	for	ADP
fis-1552	154	7	steel	steel	NOUN
fis-1552	154	8	c45	c45	PROPN
fis-1552	154	9	according	accord	VERB
fis-1552	154	10	to	to	ADP
fis-1552	154	11	the	the	DET
fis-1552	154	12	formula	formula	NOUN
fis-1552	154	13	(	(	PUNCT
fis-1552	154	14	17	17	NUM
fis-1552	154	15	)	)	PUNCT
fis-1552	154	16	.	.	PUNCT
fis-1552	155	1	the	the	DET
fis-1552	155	2	models	model	NOUN
fis-1552	155	3	and	and	CCONJ
fis-1552	155	4	methods	method	NOUN
fis-1552	155	5	proposed	propose	VERB
fis-1552	155	6	above	above	ADV
fis-1552	155	7	were	be	AUX
fis-1552	155	8	used	use	VERB
fis-1552	155	9	to	to	PART
fis-1552	155	10	assess	assess	VERB
fis-1552	155	11	fatigue	fatigue	NOUN
fis-1552	155	12	life	life	NOUN
fis-1552	155	13	until	until	SCONJ
fis-1552	155	14	crack	crack	VERB
fis-1552	155	15	initiation	initiation	NOUN
fis-1552	155	16	.	.	PUNCT
fis-1552	156	1	whereas	whereas	SCONJ
fis-1552	156	2	,	,	PUNCT
fis-1552	156	3	as	as	SCONJ
fis-1552	156	4	regards	regard	VERB
fis-1552	156	5	development	development	NOUN
fis-1552	156	6	of	of	ADP
fis-1552	156	7	fatigue	fatigue	NOUN
fis-1552	156	8	cracks	crack	NOUN
fis-1552	156	9	,	,	PUNCT
fis-1552	156	10	rozumek	rozumek	PROPN
fis-1552	156	11	and	and	CCONJ
fis-1552	156	12	macha	macha	PROPN
fis-1552	156	13	proposed	propose	VERB
fis-1552	156	14	an	an	DET
fis-1552	156	15	energy	energy	NOUN
fis-1552	156	16	criterion	criterion	NOUN
fis-1552	156	17	based	base	VERB
fis-1552	156	18	on	on	ADP
fis-1552	156	19	parameter	parameter	PROPN
fis-1552	156	20	j	j	PROPN
fis-1552	156	21	for	for	ADP
fis-1552	156	22	three	three	NUM
fis-1552	156	23	crack	crack	NOUN
fis-1552	156	24	modes	mode	NOUN
fis-1552	156	25	[	[	X
fis-1552	156	26	26	26	NUM
fis-1552	156	27	]	]	PUNCT
fis-1552	156	28	.	.	PUNCT
fis-1552	157	1	this	this	DET
fis-1552	157	2	criterion	criterion	NOUN
fis-1552	157	3	was	be	AUX
fis-1552	157	4	verified	verify	VERB
fis-1552	157	5	for	for	ADP
fis-1552	157	6	mode	mode	NOUN
fis-1552	157	7	i	i	PRON
fis-1552	157	8	and	and	CCONJ
fis-1552	157	9	mode	mode	PROPN
fis-1552	157	10	iii	iii	PROPN
fis-1552	158	1	[	[	X
fis-1552	158	2	27	27	NUM
fis-1552	158	3	]	]	PUNCT
fis-1552	158	4	.	.	PUNCT
fis-1552	159	1	2	2	NUM
fis-1552	159	2	2	2	NUM
fis-1552	159	3	2	2	NUM
fis-1552	159	4	1i	1i	NOUN
fis-1552	159	5	ii	ii	NOUN
fis-1552	159	6	iii	iii	PROPN
fis-1552	160	1	ic	ic	PROPN
fis-1552	160	2	iic	iic	PROPN
fis-1552	160	3	iiic	iiic	PROPN
fis-1552	160	4	j	j	PROPN
fis-1552	161	1	j	j	PROPN
fis-1552	161	2	j	j	PROPN
fis-1552	161	3	j	j	PROPN
fis-1552	161	4	j	j	PROPN
fis-1552	161	5	j	j	PROPN
fis-1552	161	6			NOUN
fis-1552	161	7			PROPN
fis-1552	161	8			NOUN
fis-1552	161	9			PROPN
fis-1552	161	10			VERB
fis-1552	161	11			PROPN
fis-1552	161	12			NOUN
fis-1552	161	13			NOUN
fis-1552	161	14			VERB
fis-1552	161	15			X
fis-1552	161	16			PUNCT
fis-1552	162	1			PROPN
fis-1552	162	2			PROPN
fis-1552	162	3			INTJ
fis-1552	163	1			PROPN
fis-1552	163	2			PROPN
fis-1552	164	1			ADJ
fis-1552	164	2			PROPN
fis-1552	164	3			PROPN
fis-1552	164	4			NOUN
fis-1552	164	5			PROPN
fis-1552	164	6			NOUN
fis-1552	164	7	,	,	PUNCT
fis-1552	164	8	(	(	PUNCT
fis-1552	164	9	18	18	NUM
fis-1552	164	10	)	)	PUNCT
fis-1552	164	11	where	where	SCONJ
fis-1552	164	12	jic	jic	PROPN
fis-1552	164	13	,	,	PUNCT
fis-1552	164	14	jiic	jiic	ADJ
fis-1552	164	15	,	,	PUNCT
fis-1552	164	16	jiiic	jiiic	PROPN
fis-1552	164	17	are	be	AUX
fis-1552	164	18	critical	critical	ADJ
fis-1552	164	19	values	value	NOUN
fis-1552	164	20	for	for	ADP
fis-1552	164	21	modes	mode	NOUN
fis-1552	164	22	i	i	PRON
fis-1552	164	23	,	,	PUNCT
fis-1552	164	24	ii	ii	PROPN
fis-1552	164	25	and	and	CCONJ
fis-1552	164	26	iii	iii	NOUN
fis-1552	164	27	.	.	PUNCT
fis-1552	165	1	the	the	DET
fis-1552	165	2	criterion	criterion	NOUN
fis-1552	165	3	(	(	PUNCT
fis-1552	165	4	18	18	NUM
fis-1552	165	5	)	)	PUNCT
fis-1552	165	6	was	be	AUX
fis-1552	165	7	successfully	successfully	ADV
fis-1552	165	8	verified	verify	VERB
fis-1552	165	9	while	while	SCONJ
fis-1552	165	10	tests	test	NOUN
fis-1552	165	11	of	of	ADP
fis-1552	165	12	aluminium	aluminium	NOUN
fis-1552	165	13	alloy	alloy	NOUN
fis-1552	165	14	and	and	CCONJ
fis-1552	165	15	steels	steel	NOUN
fis-1552	165	16	.	.	PUNCT
fis-1552	166	1	different	different	ADJ
fis-1552	166	2	bending	bending	NOUN
fis-1552	166	3	(	(	PUNCT
fis-1552	166	4	cracking	crack	VERB
fis-1552	166	5	mode	mode	NOUN
fis-1552	166	6	i	i	NOUN
fis-1552	166	7	)	)	PUNCT
fis-1552	166	8	to	to	ADP
fis-1552	166	9	torsion	torsion	NOUN
fis-1552	166	10	(	(	PUNCT
fis-1552	166	11	cracking	crack	VERB
fis-1552	166	12	mode	mode	NOUN
fis-1552	166	13	iii	iii	NOUN
fis-1552	166	14	)	)	PUNCT
fis-1552	166	15	ratio	ratio	NOUN
fis-1552	166	16	in	in	ADP
fis-1552	166	17	steel	steel	NOUN
fis-1552	166	18	18g2a	18g2a	NUM
fis-1552	166	19	is	be	AUX
fis-1552	166	20	shown	show	VERB
fis-1552	166	21	in	in	ADP
fis-1552	166	22	fig	fig	NOUN
fis-1552	166	23	.	.	PUNCT
fis-1552	167	1	5	5	NUM
fis-1552	168	1	[	[	SYM
fis-1552	168	2	28	28	NUM
fis-1552	168	3	]	]	PUNCT
fis-1552	168	4	.	.	PUNCT
fis-1552	169	1	it	it	PRON
fis-1552	169	2	provides	provide	VERB
fis-1552	169	3	grounds	ground	NOUN
fis-1552	169	4	to	to	PART
fis-1552	169	5	observe	observe	VERB
fis-1552	169	6	shift	shift	NOUN
fis-1552	169	7	of	of	ADP
fis-1552	169	8	experimental	experimental	ADJ
fis-1552	169	9	points	point	NOUN
fis-1552	169	10	towards	towards	ADP
fis-1552	169	11	increasing	increase	VERB
fis-1552	169	12	the	the	DET
fis-1552	169	13	value	value	NOUN
fis-1552	169	14	of	of	ADP
fis-1552	169	15	parameter	parameter	PROPN
fis-1552	169	16	ji	ji	PROPN
fis-1552	169	17	,	,	PUNCT
fis-1552	169	18	except	except	SCONJ
fis-1552	169	19	of	of	ADP
fis-1552	169	20	the	the	DET
fis-1552	169	21	z.	z.	PROPN
fis-1552	169	22	marciniak	marciniak	PROPN
fis-1552	169	23	et	et	PROPN
fis-1552	169	24	alii	alii	PROPN
fis-1552	169	25	,	,	PUNCT
fis-1552	169	26	frattura	frattura	PROPN
fis-1552	169	27	ed	ed	PROPN
fis-1552	169	28	integrità	integrità	PROPN
fis-1552	169	29	strutturale	strutturale	PROPN
fis-1552	169	30	,	,	PUNCT
fis-1552	169	31	34	34	NUM
fis-1552	169	32	(	(	PUNCT
fis-1552	169	33	2015	2015	NUM
fis-1552	169	34	)	)	PUNCT
fis-1552	169	35	1	1	NUM
fis-1552	169	36	-	-	SYM
fis-1552	169	37	10	10	NUM
fis-1552	169	38	;	;	PUNCT
fis-1552	169	39	doi	doi	NOUN
fis-1552	169	40	:	:	PUNCT
fis-1552	169	41	10.3221	10.3221	NUM
fis-1552	169	42	/	/	SYM
fis-1552	169	43	igf	igf	PROPN
fis-1552	169	44	-	-	ADJ
fis-1552	169	45	esis.34.01	esis.34.01	ADJ
fis-1552	169	46	8	8	NUM
fis-1552	169	47	angle	angle	NOUN
fis-1552	169	48			NOUN
fis-1552	169	49	=	=	SYM
fis-1552	169	50	60	60	NOUN
fis-1552	169	51	,	,	PUNCT
fis-1552	169	52	where	where	SCONJ
fis-1552	169	53	decrease	decrease	NOUN
fis-1552	169	54	in	in	ADP
fis-1552	169	55	these	these	DET
fis-1552	169	56	values	value	NOUN
fis-1552	169	57	was	be	AUX
fis-1552	169	58	confirmed	confirm	VERB
fis-1552	169	59	.	.	PUNCT
fis-1552	170	1	considerable	considerable	ADJ
fis-1552	170	2	increase	increase	NOUN
fis-1552	170	3	of	of	ADP
fis-1552	170	4	parameter	parameter	NOUN
fis-1552	170	5	ji	ji	INTJ
fis-1552	171	1	and	and	CCONJ
fis-1552	171	2	jiii	jiii	PROPN
fis-1552	171	3	values	value	NOUN
fis-1552	171	4	was	be	AUX
fis-1552	171	5	observed	observe	VERB
fis-1552	171	6	with	with	ADP
fis-1552	171	7	rising	rise	VERB
fis-1552	171	8	fatigue	fatigue	NOUN
fis-1552	171	9	crack	crack	NOUN
fis-1552	171	10	growth	growth	NOUN
fis-1552	171	11	rate	rate	NOUN
fis-1552	171	12	(	(	PUNCT
fis-1552	171	13	fig	fig	NOUN
fis-1552	171	14	.	.	PUNCT
fis-1552	172	1	5	5	NUM
fis-1552	172	2	,	,	PUNCT
fis-1552	172	3	curves	curve	NOUN
fis-1552	172	4	1	1	NUM
fis-1552	172	5	to	to	ADP
fis-1552	172	6	2	2	NUM
fis-1552	172	7	)	)	PUNCT
fis-1552	172	8	.	.	PUNCT
fis-1552	173	1	diagrams	diagram	NOUN
fis-1552	173	2	1	1	NUM
fis-1552	173	3	and	and	CCONJ
fis-1552	173	4	2	2	NUM
fis-1552	173	5	shown	show	VERB
fis-1552	173	6	in	in	ADP
fis-1552	173	7	fig	fig	NOUN
fis-1552	173	8	.	.	PUNCT
fis-1552	174	1	5	5	NUM
fis-1552	174	2	concern	concern	NOUN
fis-1552	174	3	fatigue	fatigue	NOUN
fis-1552	174	4	crack	crack	VERB
fis-1552	174	5	growth	growth	NOUN
fis-1552	174	6	rates	rate	NOUN
fis-1552	174	7	:	:	PUNCT
fis-1552	174	8	da	da	X
fis-1552	174	9	/	/	SYM
fis-1552	174	10	dn	dn	NOUN
fis-1552	174	11	=	=	SYM
fis-1552	174	12	1.6810	1.6810	NUM
fis-1552	174	13	-	-	SYM
fis-1552	174	14	8	8	NUM
fis-1552	174	15	m	m	NOUN
fis-1552	174	16	/	/	SYM
fis-1552	174	17	cycle	cycle	NOUN
fis-1552	174	18	and	and	CCONJ
fis-1552	174	19	da	da	ADJ
fis-1552	174	20	/	/	SYM
fis-1552	174	21	dn	dn	NOUN
fis-1552	174	22	=	=	SYM
fis-1552	174	23	4.2310	4.2310	NOUN
fis-1552	174	24	-	-	PUNCT
fis-1552	174	25	8	8	NUM
fis-1552	174	26	m	m	NOUN
fis-1552	174	27	/	/	SYM
fis-1552	174	28	cycle	cycle	NOUN
fis-1552	174	29	,	,	PUNCT
fis-1552	174	30	respectively	respectively	ADV
fis-1552	174	31	.	.	PUNCT
fis-1552	175	1	figure	figure	VERB
fis-1552	175	2	4	4	NUM
fis-1552	175	3	:	:	PUNCT
fis-1552	175	4	energy	energy	NOUN
fis-1552	175	5	fatigue	fatigue	NOUN
fis-1552	175	6	characteristic	characteristic	ADJ
fis-1552	175	7	for	for	ADP
fis-1552	175	8	steel	steel	NOUN
fis-1552	175	9	c45	c45	PROPN
fis-1552	175	10	.	.	PUNCT
fis-1552	176	1	figure	figure	VERB
fis-1552	176	2	5	5	NUM
fis-1552	176	3	:	:	PUNCT
fis-1552	176	4	comparison	comparison	NOUN
fis-1552	176	5	of	of	ADP
fis-1552	176	6	experimental	experimental	ADJ
fis-1552	176	7	results	result	NOUN
fis-1552	176	8	for	for	ADP
fis-1552	176	9	different	different	ADJ
fis-1552	176	10	bending	bending	NOUN
fis-1552	176	11	to	to	ADP
fis-1552	176	12	torsion	torsion	NOUN
fis-1552	176	13	ratios	ratio	NOUN
fis-1552	176	14	with	with	ADP
fis-1552	176	15	those	those	PRON
fis-1552	176	16	calculated	calculate	VERB
fis-1552	176	17	according	accord	VERB
fis-1552	176	18	to	to	ADP
fis-1552	176	19	the	the	DET
fis-1552	176	20	eq	eq	NOUN
fis-1552	176	21	.	.	PUNCT
fis-1552	177	1	(	(	PUNCT
fis-1552	177	2	18	18	NUM
fis-1552	177	3	)	)	PUNCT
fis-1552	177	4	for	for	ADP
fis-1552	177	5	18g2a	18g2a	NUM
fis-1552	177	6	steel	steel	NOUN
fis-1552	177	7	[	[	X
fis-1552	177	8	27	27	NUM
fis-1552	177	9	]	]	PUNCT
fis-1552	177	10	.	.	PUNCT
fis-1552	178	1	different	different	ADJ
fis-1552	178	2	bending	bending	NOUN
fis-1552	178	3	(	(	PUNCT
fis-1552	178	4	cracking	crack	VERB
fis-1552	178	5	mode	mode	NOUN
fis-1552	178	6	i	i	NOUN
fis-1552	178	7	)	)	PUNCT
fis-1552	178	8	to	to	ADP
fis-1552	178	9	torsion	torsion	NOUN
fis-1552	178	10	(	(	PUNCT
fis-1552	178	11	cracking	crack	VERB
fis-1552	178	12	mode	mode	NOUN
fis-1552	178	13	iii	iii	NOUN
fis-1552	178	14	)	)	PUNCT
fis-1552	178	15	ratio	ratio	NOUN
fis-1552	178	16	in	in	ADP
fis-1552	178	17	alcumg1	alcumg1	ADJ
fis-1552	178	18	alloy	alloy	NOUN
fis-1552	178	19	is	be	AUX
fis-1552	178	20	shown	show	VERB
fis-1552	178	21	in	in	ADP
fis-1552	178	22	fig	fig	NOUN
fis-1552	178	23	.	.	PUNCT
fis-1552	179	1	6	6	NUM
fis-1552	179	2	.	.	X
fis-1552	179	3	fig	fig	NOUN
fis-1552	179	4	.	.	PUNCT
fis-1552	180	1	6	6	NUM
fis-1552	181	1	[	[	SYM
fis-1552	181	2	28	28	NUM
fis-1552	181	3	]	]	PUNCT
fis-1552	181	4	provides	provide	VERB
fis-1552	181	5	grounds	ground	NOUN
fis-1552	181	6	to	to	PART
fis-1552	181	7	observe	observe	VERB
fis-1552	181	8	shift	shift	NOUN
fis-1552	181	9	of	of	ADP
fis-1552	181	10	experimental	experimental	ADJ
fis-1552	181	11	points	point	NOUN
fis-1552	181	12	towards	towards	ADP
fis-1552	181	13	increasing	increase	VERB
fis-1552	181	14	the	the	DET
fis-1552	181	15	values	value	NOUN
fis-1552	181	16	of	of	ADP
fis-1552	181	17	parameter	parameter	NOUN
fis-1552	181	18	ji	ji	INTJ
fis-1552	182	1	these	these	DET
fis-1552	182	2	increment	increment	NOUN
fis-1552	182	3	values	value	NOUN
fis-1552	182	4	were	be	AUX
fis-1552	182	5	lower	low	ADJ
fis-1552	182	6	than	than	ADP
fis-1552	182	7	for	for	ADP
fis-1552	182	8	steel	steel	NOUN
fis-1552	182	9	18g2a	18g2a	NUM
fis-1552	182	10	.	.	PUNCT
fis-1552	183	1	experimental	experimental	ADJ
fis-1552	183	2	results	result	NOUN
fis-1552	183	3	of	of	ADP
fis-1552	183	4	interdependences	interdependence	NOUN
fis-1552	183	5	between	between	ADP
fis-1552	183	6	cracking	crack	VERB
fis-1552	183	7	mode	mode	NOUN
fis-1552	183	8	i	i	PROPN
fis-1552	183	9	and	and	CCONJ
fis-1552	183	10	iii	iii	NOUN
fis-1552	183	11	,	,	PUNCT
fis-1552	183	12	for	for	ADP
fis-1552	183	13	constant	constant	ADJ
fis-1552	183	14	da	da	ADJ
fis-1552	183	15	/	/	SYM
fis-1552	183	16	dn	dn	NOUN
fis-1552	183	17	ratio	ratio	NOUN
fis-1552	183	18	value	value	NOUN
fis-1552	183	19	were	be	AUX
fis-1552	183	20	defined	define	VERB
fis-1552	183	21	by	by	ADP
fis-1552	183	22	eq	eq	PROPN
fis-1552	183	23	.	.	PUNCT
fis-1552	184	1	(	(	PUNCT
fis-1552	184	2	18	18	NUM
fis-1552	184	3	)	)	PUNCT
fis-1552	184	4	.	.	PUNCT
fis-1552	185	1	diagrams	diagram	NOUN
fis-1552	185	2	1	1	NUM
fis-1552	185	3	and	and	CCONJ
fis-1552	185	4	2	2	NUM
fis-1552	185	5	shown	show	VERB
fis-1552	185	6	in	in	ADP
fis-1552	185	7	fig	fig	NOUN
fis-1552	185	8	.	.	PUNCT
fis-1552	186	1	6	6	NUM
fis-1552	186	2	concern	concern	NOUN
fis-1552	186	3	fatigue	fatigue	NOUN
fis-1552	186	4	crack	crack	VERB
fis-1552	186	5	growth	growth	NOUN
fis-1552	186	6	rates	rate	NOUN
fis-1552	186	7	:	:	PUNCT
fis-1552	186	8	da	da	X
fis-1552	186	9	/	/	SYM
fis-1552	186	10	dn	dn	NOUN
fis-1552	186	11	=	=	SYM
fis-1552	186	12	7.6410	7.6410	NUM
fis-1552	186	13	-	-	SYM
fis-1552	186	14	8	8	NUM
fis-1552	186	15	m	m	NOUN
fis-1552	186	16	/	/	SYM
fis-1552	186	17	cycle	cycle	NOUN
fis-1552	186	18	and	and	CCONJ
fis-1552	186	19	da	da	ADJ
fis-1552	186	20	/	/	SYM
fis-1552	186	21	dn	dn	NOUN
fis-1552	186	22	=	=	SYM
fis-1552	186	23	1.4110	1.4110	PROPN
fis-1552	186	24	-	-	SYM
fis-1552	186	25	7	7	NUM
fis-1552	186	26	m	m	PROPN
fis-1552	186	27	/	/	SYM
fis-1552	186	28	cycle	cycle	NOUN
fis-1552	186	29	,	,	PUNCT
fis-1552	186	30	respectively	respectively	ADV
fis-1552	186	31	.	.	PUNCT
fis-1552	187	1	z.	z.	PROPN
fis-1552	187	2	marciniak	marciniak	PROPN
fis-1552	187	3	et	et	PROPN
fis-1552	187	4	alii	alii	PROPN
fis-1552	187	5	,	,	PUNCT
fis-1552	187	6	frattura	frattura	PROPN
fis-1552	187	7	ed	ed	PROPN
fis-1552	187	8	integrità	integrità	PROPN
fis-1552	187	9	strutturale	strutturale	PROPN
fis-1552	187	10	,	,	PUNCT
fis-1552	187	11	34	34	NUM
fis-1552	187	12	(	(	PUNCT
fis-1552	187	13	2015	2015	NUM
fis-1552	187	14	)	)	PUNCT
fis-1552	187	15	1	1	NUM
fis-1552	187	16	-	-	SYM
fis-1552	187	17	10	10	NUM
fis-1552	187	18	;	;	PUNCT
fis-1552	187	19	doi	doi	NOUN
fis-1552	187	20	:	:	PUNCT
fis-1552	187	21	10.3221	10.3221	NUM
fis-1552	187	22	/	/	SYM
fis-1552	187	23	igf	igf	PROPN
fis-1552	187	24	-	-	ADJ
fis-1552	187	25	esis.34.01	esis.34.01	ADJ
fis-1552	187	26	9	9	NUM
fis-1552	187	27	figure	figure	NOUN
fis-1552	187	28	6	6	NUM
fis-1552	187	29	:	:	PUNCT
fis-1552	187	30	comparison	comparison	NOUN
fis-1552	187	31	of	of	ADP
fis-1552	187	32	experimental	experimental	ADJ
fis-1552	187	33	results	result	NOUN
fis-1552	187	34	for	for	ADP
fis-1552	187	35	different	different	ADJ
fis-1552	187	36	bending	bending	NOUN
fis-1552	187	37	to	to	ADP
fis-1552	187	38	torsion	torsion	NOUN
fis-1552	187	39	ratios	ratio	NOUN
fis-1552	187	40	with	with	ADP
fis-1552	187	41	those	those	PRON
fis-1552	187	42	calculated	calculate	VERB
fis-1552	187	43	according	accord	VERB
fis-1552	187	44	to	to	ADP
fis-1552	187	45	the	the	DET
fis-1552	187	46	eq	eq	NOUN
fis-1552	187	47	.	.	PUNCT
fis-1552	188	1	(	(	PUNCT
fis-1552	188	2	18	18	NUM
fis-1552	188	3	)	)	PUNCT
fis-1552	188	4	for	for	ADP
fis-1552	188	5	alcumg1	alcumg1	ADJ
fis-1552	188	6	alloy	alloy	NOUN
fis-1552	188	7	.	.	PUNCT
fis-1552	189	1	summary	summary	VERB
fis-1552	189	2	his	his	PRON
fis-1552	189	3	brief	brief	ADJ
fis-1552	189	4	description	description	NOUN
fis-1552	189	5	of	of	ADP
fis-1552	189	6	professor	professor	NOUN
fis-1552	189	7	macha	macha	PROPN
fis-1552	189	8	activity	activity	NOUN
fis-1552	189	9	irrefutably	irrefutably	ADV
fis-1552	189	10	proves	prove	VERB
fis-1552	189	11	his	his	PRON
fis-1552	189	12	wide	wide	ADJ
fis-1552	189	13	interests	interest	NOUN
fis-1552	189	14	and	and	CCONJ
fis-1552	189	15	great	great	ADJ
fis-1552	189	16	influence	influence	NOUN
fis-1552	189	17	on	on	ADP
fis-1552	189	18	progress	progress	NOUN
fis-1552	189	19	regarding	regard	VERB
fis-1552	189	20	the	the	DET
fis-1552	189	21	issues	issue	NOUN
fis-1552	189	22	of	of	ADP
fis-1552	189	23	fatigue	fatigue	NOUN
fis-1552	189	24	life	life	NOUN
fis-1552	189	25	assessment	assessment	NOUN
fis-1552	189	26	for	for	ADP
fis-1552	189	27	components	component	NOUN
fis-1552	189	28	of	of	ADP
fis-1552	189	29	machines	machine	NOUN
fis-1552	189	30	and	and	CCONJ
fis-1552	189	31	structures	structure	NOUN
fis-1552	189	32	.	.	PUNCT
fis-1552	190	1	during	during	ADP
fis-1552	190	2	his	his	PRON
fis-1552	190	3	academic	academic	ADJ
fis-1552	190	4	career	career	NOUN
fis-1552	190	5	,	,	PUNCT
fis-1552	190	6	macha	macha	PROPN
fis-1552	190	7	with	with	ADP
fis-1552	190	8	colleagues	colleague	NOUN
fis-1552	190	9	proposed	propose	VERB
fis-1552	190	10	many	many	ADJ
fis-1552	190	11	fatigue	fatigue	NOUN
fis-1552	190	12	criteria	criterion	NOUN
fis-1552	190	13	concerning	concern	VERB
fis-1552	190	14	the	the	DET
fis-1552	190	15	parameters	parameter	NOUN
fis-1552	190	16	of	of	ADP
fis-1552	190	17	stress	stress	NOUN
fis-1552	190	18	,	,	PUNCT
fis-1552	190	19	strain	strain	NOUN
fis-1552	190	20	and	and	CCONJ
fis-1552	190	21	strain	strain	VERB
fis-1552	190	22	energy	energy	NOUN
fis-1552	190	23	density	density	NOUN
fis-1552	190	24	both	both	PRON
fis-1552	190	25	in	in	ADP
fis-1552	190	26	the	the	DET
fis-1552	190	27	field	field	NOUN
fis-1552	190	28	of	of	ADP
fis-1552	190	29	time	time	NOUN
fis-1552	190	30	and	and	CCONJ
fis-1552	190	31	frequency	frequency	NOUN
fis-1552	190	32	.	.	PUNCT
fis-1552	191	1	macha	macha	PROPN
fis-1552	191	2	’s	’s	PART
fis-1552	191	3	interests	interest	NOUN
fis-1552	191	4	covered	cover	VERB
fis-1552	191	5	initiation	initiation	NOUN
fis-1552	191	6	range	range	NOUN
fis-1552	191	7	and	and	CCONJ
fis-1552	191	8	propagation	propagation	NOUN
fis-1552	191	9	of	of	ADP
fis-1552	191	10	fatigue	fatigue	NOUN
fis-1552	191	11	cracks	crack	NOUN
fis-1552	191	12	.	.	PUNCT
fis-1552	192	1	many	many	ADJ
fis-1552	192	2	times	time	NOUN
fis-1552	192	3	these	these	DET
fis-1552	192	4	criteria	criterion	NOUN
fis-1552	192	5	were	be	AUX
fis-1552	192	6	verified	verify	VERB
fis-1552	192	7	in	in	ADP
fis-1552	192	8	various	various	ADJ
fis-1552	192	9	load	load	NOUN
fis-1552	192	10	conditions	condition	NOUN
fis-1552	192	11	for	for	ADP
fis-1552	192	12	different	different	ADJ
fis-1552	192	13	materials	material	NOUN
fis-1552	192	14	,	,	PUNCT
fis-1552	192	15	and	and	CCONJ
fis-1552	192	16	were	be	AUX
fis-1552	192	17	presented	present	VERB
fis-1552	192	18	during	during	ADP
fis-1552	192	19	various	various	ADJ
fis-1552	192	20	scientific	scientific	ADJ
fis-1552	192	21	conferences	conference	NOUN
fis-1552	192	22	.	.	PUNCT
fis-1552	193	1	references	reference	NOUN
fis-1552	193	2	[	[	X
fis-1552	193	3	1	1	NUM
fis-1552	193	4	]	]	X
fis-1552	193	5	macha	macha	PROPN
fis-1552	193	6	,	,	PUNCT
fis-1552	193	7	e.	e.	PROPN
fis-1552	193	8	,	,	PUNCT
fis-1552	193	9	mathematical	mathematical	ADJ
fis-1552	193	10	models	model	NOUN
fis-1552	193	11	of	of	ADP
fis-1552	193	12	the	the	DET
fis-1552	193	13	life	life	NOUN
fis-1552	193	14	to	to	PART
fis-1552	193	15	fracture	fracture	VERB
fis-1552	193	16	for	for	ADP
fis-1552	193	17	materials	material	NOUN
fis-1552	193	18	subject	subject	ADJ
fis-1552	193	19	to	to	ADP
fis-1552	193	20	random	random	ADJ
fis-1552	193	21	complex	complex	ADJ
fis-1552	193	22	stress	stress	NOUN
fis-1552	193	23	systems	system	NOUN
fis-1552	193	24	,	,	PUNCT
fis-1552	193	25	monographs	monograph	VERB
fis-1552	193	26	no	no	DET
fis-1552	193	27	13	13	NUM
fis-1552	193	28	,	,	PUNCT
fis-1552	193	29	wrocław	wrocław	ADJ
fis-1552	193	30	university	university	NOUN
fis-1552	193	31	of	of	ADP
fis-1552	193	32	technology	technology	NOUN
fis-1552	193	33	,	,	PUNCT
fis-1552	193	34	wrocław	wrocław	ADJ
fis-1552	193	35	,	,	PUNCT
fis-1552	193	36	(	(	PUNCT
fis-1552	193	37	1979	1979	NUM
fis-1552	193	38	)	)	PUNCT
fis-1552	193	39	(	(	PUNCT
fis-1552	193	40	in	in	ADP
fis-1552	193	41	polish	polish	NOUN
fis-1552	193	42	)	)	PUNCT
fis-1552	193	43	.	.	PUNCT
fis-1552	194	1	[	[	X
fis-1552	194	2	2	2	NUM
fis-1552	194	3	]	]	SYM
fis-1552	194	4	macha	macha	PROPN
fis-1552	194	5	,	,	PUNCT
fis-1552	194	6	e.	e.	PROPN
fis-1552	194	7	,	,	PUNCT
fis-1552	194	8	generalization	generalization	NOUN
fis-1552	194	9	of	of	ADP
fis-1552	194	10	fatigue	fatigue	NOUN
fis-1552	194	11	fracture	fracture	NOUN
fis-1552	194	12	criteria	criterion	NOUN
fis-1552	194	13	for	for	ADP
fis-1552	194	14	multiaxial	multiaxial	ADJ
fis-1552	194	15	sinusoidal	sinusoidal	NOUN
fis-1552	194	16	loadings	loading	NOUN
fis-1552	194	17	in	in	ADP
fis-1552	194	18	the	the	DET
fis-1552	194	19	range	range	NOUN
fis-1552	194	20	of	of	ADP
fis-1552	194	21	random	random	ADJ
fis-1552	194	22	loadings	loading	NOUN
fis-1552	194	23	.	.	PUNCT
fis-1552	195	1	biaxial	biaxial	NOUN
fis-1552	195	2	and	and	CCONJ
fis-1552	195	3	multiaxial	multiaxial	ADJ
fis-1552	195	4	fatigue	fatigue	NOUN
fis-1552	195	5	,	,	PUNCT
fis-1552	195	6	egf	egf	PROPN
fis-1552	195	7	3	3	NUM
fis-1552	195	8	,	,	PUNCT
fis-1552	195	9	eds	eds	PROPN
fis-1552	195	10	m.w	m.w	PROPN
fis-1552	195	11	.	.	PROPN
fis-1552	195	12	brown	brown	PROPN
fis-1552	195	13	and	and	CCONJ
fis-1552	195	14	k.j	k.j	PROPN
fis-1552	195	15	.	.	PROPN
fis-1552	195	16	miller	miller	PROPN
fis-1552	195	17	,	,	PUNCT
fis-1552	195	18	mechanical	mechanical	ADJ
fis-1552	195	19	engineering	engineering	NOUN
fis-1552	195	20	publications	publication	NOUN
fis-1552	195	21	,	,	PUNCT
fis-1552	195	22	london	london	PROPN
fis-1552	195	23	,	,	PUNCT
fis-1552	195	24	(	(	PUNCT
fis-1552	195	25	1989	1989	NUM
fis-1552	195	26	)	)	PUNCT
fis-1552	195	27	425	425	NUM
fis-1552	195	28	-	-	SYM
fis-1552	195	29	436	436	NUM
fis-1552	195	30	.	.	PUNCT
fis-1552	196	1	[	[	X
fis-1552	196	2	3	3	NUM
fis-1552	196	3	]	]	X
fis-1552	196	4	macha	macha	PROPN
fis-1552	196	5	,	,	PUNCT
fis-1552	196	6	e.	e.	PROPN
fis-1552	196	7	,	,	PUNCT
fis-1552	196	8	generalization	generalization	NOUN
fis-1552	196	9	of	of	ADP
fis-1552	196	10	strain	strain	ADJ
fis-1552	196	11	criteria	criterion	NOUN
fis-1552	196	12	of	of	ADP
fis-1552	196	13	multiaxial	multiaxial	ADJ
fis-1552	196	14	cyclic	cyclic	ADJ
fis-1552	196	15	fatigue	fatigue	NOUN
fis-1552	196	16	to	to	ADP
fis-1552	196	17	random	random	ADJ
fis-1552	196	18	loadings	loading	NOUN
fis-1552	196	19	,	,	PUNCT
fis-1552	196	20	studies	study	NOUN
fis-1552	196	21	and	and	CCONJ
fis-1552	196	22	monographs	monograph	NOUN
fis-1552	196	23	,	,	PUNCT
fis-1552	196	24	no	no	INTJ
fis-1552	196	25	.	.	NOUN
fis-1552	196	26	23	23	NUM
fis-1552	196	27	,	,	PUNCT
fis-1552	196	28	opole	opole	PROPN
fis-1552	196	29	university	university	PROPN
fis-1552	196	30	of	of	ADP
fis-1552	196	31	technology	technology	PROPN
fis-1552	196	32	,	,	PUNCT
fis-1552	196	33	opole	opole	PROPN
fis-1552	196	34	,	,	PUNCT
fis-1552	196	35	(	(	PUNCT
fis-1552	196	36	1988	1988	NUM
fis-1552	196	37	)	)	PUNCT
fis-1552	196	38	(	(	PUNCT
fis-1552	196	39	in	in	ADP
fis-1552	196	40	polish	polish	NOUN
fis-1552	196	41	)	)	PUNCT
fis-1552	196	42	.	.	PUNCT
fis-1552	197	1	[	[	X
fis-1552	197	2	4	4	NUM
fis-1552	197	3	]	]	X
fis-1552	197	4	macha	macha	PROPN
fis-1552	197	5	,	,	PUNCT
fis-1552	197	6	e.	e.	PROPN
fis-1552	197	7	,	,	PUNCT
fis-1552	197	8	simulations	simulation	VERB
fis-1552	197	9	investigations	investigation	NOUN
fis-1552	197	10	of	of	ADP
fis-1552	197	11	the	the	DET
fis-1552	197	12	position	position	NOUN
fis-1552	197	13	of	of	ADP
fis-1552	197	14	fatigue	fatigue	NOUN
fis-1552	197	15	plane	plane	NOUN
fis-1552	197	16	in	in	ADP
fis-1552	197	17	materials	material	NOUN
fis-1552	197	18	with	with	ADP
fis-1552	197	19	biaxial	biaxial	ADJ
fis-1552	197	20	loads	load	NOUN
fis-1552	197	21	,	,	PUNCT
fis-1552	197	22	mat.-wiss	mat.-wiss	PROPN
fis-1552	197	23	.	.	PUNCT
fis-1552	198	1	u.	u.	PROPN
fis-1552	198	2	werkstofftech	werkstofftech	PROPN
fis-1552	198	3	.	.	PUNCT
fis-1552	199	1	,	,	PUNCT
fis-1552	199	2	20	20	NUM
fis-1552	199	3	(	(	PUNCT
fis-1552	199	4	1989	1989	NUM
fis-1552	199	5	)	)	PUNCT
fis-1552	199	6	132	132	NUM
fis-1552	199	7	-	-	SYM
fis-1552	199	8	136	136	NUM
fis-1552	199	9	.	.	PUNCT
fis-1552	200	1	[	[	X
fis-1552	200	2	5	5	NUM
fis-1552	200	3	]	]	X
fis-1552	200	4	carpinteri	carpinteri	NOUN
fis-1552	200	5	,	,	PUNCT
fis-1552	200	6	a.	a.	PROPN
fis-1552	200	7	,	,	PUNCT
fis-1552	200	8	macha	macha	PROPN
fis-1552	200	9	,	,	PUNCT
fis-1552	200	10	e.	e.	PROPN
fis-1552	200	11	,	,	PUNCT
fis-1552	200	12	brighenti	brighenti	PROPN
fis-1552	200	13	,	,	PUNCT
fis-1552	200	14	r.	r.	PROPN
fis-1552	200	15	,	,	PUNCT
fis-1552	200	16	spagnoli	spagnoli	PROPN
fis-1552	200	17	,	,	PUNCT
fis-1552	200	18	a.	a.	NOUN
fis-1552	200	19	,	,	PUNCT
fis-1552	200	20	expected	expect	VERB
fis-1552	200	21	principal	principal	ADJ
fis-1552	200	22	stress	stress	NOUN
fis-1552	200	23	directions	direction	NOUN
fis-1552	200	24	for	for	ADP
fis-1552	200	25	multiaxial	multiaxial	ADJ
fis-1552	200	26	random	random	ADJ
fis-1552	200	27	loading	loading	NOUN
fis-1552	200	28	part	part	NOUN
fis-1552	200	29	i	i	PROPN
fis-1552	200	30	,	,	PUNCT
fis-1552	200	31	theoretical	theoretical	ADJ
fis-1552	200	32	aspects	aspect	NOUN
fis-1552	200	33	of	of	ADP
fis-1552	200	34	the	the	DET
fis-1552	200	35	weight	weight	NOUN
fis-1552	200	36	function	function	NOUN
fis-1552	200	37	method	method	NOUN
fis-1552	200	38	,	,	PUNCT
fis-1552	200	39	int	int	NOUN
fis-1552	200	40	.	.	PUNCT
fis-1552	201	1	j.	j.	PROPN
fis-1552	201	2	fatigue	fatigue	PROPN
fis-1552	201	3	,	,	PUNCT
fis-1552	201	4	21	21	NUM
fis-1552	201	5	(	(	PUNCT
fis-1552	201	6	1999	1999	NUM
fis-1552	201	7	)	)	PUNCT
fis-1552	201	8	83	83	NUM
fis-1552	201	9	-	-	SYM
fis-1552	201	10	88	88	NUM
fis-1552	201	11	.	.	PUNCT
fis-1552	202	1	[	[	X
fis-1552	202	2	6	6	NUM
fis-1552	202	3	]	]	X
fis-1552	202	4	carpinteri	carpinteri	NOUN
fis-1552	202	5	,	,	PUNCT
fis-1552	202	6	a	a	DET
fis-1552	202	7	,	,	PUNCT
fis-1552	202	8	macha	macha	PROPN
fis-1552	202	9	,	,	PUNCT
fis-1552	202	10	e	e	PROPN
fis-1552	202	11	,	,	PUNCT
fis-1552	202	12	brighenti	brighenti	NOUN
fis-1552	202	13	,	,	PUNCT
fis-1552	202	14	r	r	NOUN
fis-1552	202	15	,	,	PUNCT
fis-1552	202	16	spagnoli	spagnoli	PROPN
fis-1552	202	17	,	,	PUNCT
fis-1552	202	18	a.	a.	NOUN
fis-1552	202	19	,	,	PUNCT
fis-1552	202	20	expected	expect	VERB
fis-1552	202	21	principal	principal	ADJ
fis-1552	202	22	stress	stress	NOUN
fis-1552	202	23	directions	direction	NOUN
fis-1552	202	24	under	under	ADP
fis-1552	202	25	multiaxial	multiaxial	ADJ
fis-1552	202	26	random	random	ADJ
fis-1552	202	27	loading	loading	NOUN
fis-1552	202	28	.	.	PUNCT
fis-1552	203	1	part	part	PROPN
fis-1552	203	2	ii	ii	PROPN
fis-1552	203	3	:	:	PUNCT
fis-1552	203	4	numerical	numerical	PROPN
fis-1552	203	5	simulation	simulation	NOUN
fis-1552	203	6	and	and	CCONJ
fis-1552	203	7	experimentally	experimentally	ADV
fis-1552	203	8	assessment	assessment	NOUN
fis-1552	203	9	through	through	ADP
fis-1552	203	10	the	the	DET
fis-1552	203	11	weight	weight	NOUN
fis-1552	203	12	function	function	NOUN
fis-1552	203	13	method	method	NOUN
fis-1552	203	14	.	.	PUNCT
fis-1552	204	1	int	int	NOUN
fis-1552	204	2	.	.	PUNCT
fis-1552	205	1	j.	j.	PROPN
fis-1552	205	2	of	of	ADP
fis-1552	205	3	fatigue	fatigue	NOUN
fis-1552	205	4	,	,	PUNCT
fis-1552	205	5	21	21	NUM
fis-1552	205	6	(	(	PUNCT
fis-1552	205	7	1999	1999	NUM
fis-1552	205	8	)	)	PUNCT
fis-1552	205	9	89	89	NUM
fis-1552	205	10	-	-	SYM
fis-1552	205	11	96	96	NUM
fis-1552	205	12	.	.	PUNCT
fis-1552	206	1	t	t	PROPN
fis-1552	206	2	z.	z.	PROPN
fis-1552	206	3	marciniak	marciniak	PROPN
fis-1552	206	4	et	et	PROPN
fis-1552	206	5	alii	alii	PROPN
fis-1552	206	6	,	,	PUNCT
fis-1552	206	7	frattura	frattura	PROPN
fis-1552	206	8	ed	ed	PROPN
fis-1552	206	9	integrità	integrità	PROPN
fis-1552	206	10	strutturale	strutturale	PROPN
fis-1552	206	11	,	,	PUNCT
fis-1552	206	12	34	34	NUM
fis-1552	206	13	(	(	PUNCT
fis-1552	206	14	2015	2015	NUM
fis-1552	206	15	)	)	PUNCT
fis-1552	206	16	1	1	NUM
fis-1552	206	17	-	-	SYM
fis-1552	206	18	10	10	NUM
fis-1552	206	19	;	;	PUNCT
fis-1552	206	20	doi	doi	NOUN
fis-1552	206	21	:	:	PUNCT
fis-1552	206	22	10.3221	10.3221	NUM
fis-1552	206	23	/	/	SYM
fis-1552	206	24	igf	igf	PROPN
fis-1552	206	25	-	-	ADJ
fis-1552	206	26	esis.34.01	esis.34.01	NOUN
fis-1552	206	27	10	10	NUM
fis-1552	207	1	[	[	X
fis-1552	207	2	7	7	NUM
fis-1552	207	3	]	]	X
fis-1552	207	4	będkowski	będkowski	NOUN
fis-1552	207	5	,	,	PUNCT
fis-1552	207	6	w.	w.	PROPN
fis-1552	207	7	,	,	PUNCT
fis-1552	207	8	macha	macha	PROPN
fis-1552	207	9	,	,	PUNCT
fis-1552	207	10	e.	e.	PROPN
fis-1552	207	11	,	,	PUNCT
fis-1552	207	12	ohnami	ohnami	NOUN
fis-1552	207	13	m.	m.	NOUN
fis-1552	207	14	,	,	PUNCT
fis-1552	207	15	sakane	sakane	NOUN
fis-1552	207	16	m.	m.	NOUN
fis-1552	207	17	,	,	PUNCT
fis-1552	207	18	fracture	fracture	NOUN
fis-1552	207	19	plane	plane	NOUN
fis-1552	207	20	of	of	ADP
fis-1552	207	21	cruciform	cruciform	PROPN
fis-1552	207	22	specimen	speciman	NOUN
fis-1552	207	23	in	in	ADP
fis-1552	207	24	biaxial	biaxial	ADJ
fis-1552	207	25	low	low	ADJ
fis-1552	207	26	cycle	cycle	NOUN
fis-1552	207	27	fatigue	fatigue	NOUN
fis-1552	207	28	–	–	PUNCT
fis-1552	207	29	estimate	estimate	NOUN
fis-1552	207	30	by	by	ADP
fis-1552	207	31	variance	variance	NOUN
fis-1552	207	32	method	method	NOUN
fis-1552	207	33	and	and	CCONJ
fis-1552	207	34	experimental	experimental	ADJ
fis-1552	207	35	verification	verification	NOUN
fis-1552	207	36	,	,	PUNCT
fis-1552	207	37	journal	journal	NOUN
fis-1552	207	38	of	of	ADP
fis-1552	207	39	engineering	engineering	NOUN
fis-1552	207	40	materials	material	NOUN
fis-1552	207	41	and	and	CCONJ
fis-1552	207	42	technology	technology	NOUN
fis-1552	207	43	,	,	PUNCT
fis-1552	207	44	117	117	NUM
fis-1552	207	45	(	(	PUNCT
fis-1552	207	46	1995	1995	NUM
fis-1552	207	47	)	)	PUNCT
fis-1552	207	48	183	183	NUM
fis-1552	207	49	-	-	SYM
fis-1552	207	50	190	190	NUM
fis-1552	207	51	.	.	PUNCT
fis-1552	208	1	[	[	X
fis-1552	208	2	8	8	NUM
fis-1552	208	3	]	]	X
fis-1552	208	4	macha	macha	PROPN
fis-1552	208	5	,	,	PUNCT
fis-1552	208	6	e.	e.	PROPN
fis-1552	208	7	,	,	PUNCT
fis-1552	208	8	sonsino	sonsino	PROPN
fis-1552	208	9	,	,	PUNCT
fis-1552	208	10	c.m	c.m	PROPN
fis-1552	208	11	.	.	PROPN
fis-1552	208	12	,	,	PUNCT
fis-1552	208	13	energy	energy	NOUN
fis-1552	208	14	criteria	criterion	NOUN
fis-1552	208	15	of	of	ADP
fis-1552	208	16	multiaxial	multiaxial	ADJ
fis-1552	208	17	fatigue	fatigue	NOUN
fis-1552	208	18	failure	failure	NOUN
fis-1552	208	19	,	,	PUNCT
fis-1552	208	20	fatigue	fatigue	NOUN
fis-1552	208	21	fract	fract	NOUN
fis-1552	208	22	.	.	PUNCT
fis-1552	209	1	engng	engng	PROPN
fis-1552	209	2	.	.	PUNCT
fis-1552	210	1	mater	mater	NOUN
fis-1552	210	2	.	.	PUNCT
fis-1552	211	1	struci	struci	ADJ
fis-1552	211	2	.	.	PROPN
fis-1552	212	1	,	,	PUNCT
fis-1552	212	2	22	22	NUM
fis-1552	212	3	(	(	PUNCT
fis-1552	212	4	1999	1999	NUM
fis-1552	212	5	)	)	PUNCT
fis-1552	212	6	1053	1053	NUM
fis-1552	212	7	-	-	SYM
fis-1552	212	8	1070	1070	NUM
fis-1552	212	9	.	.	PUNCT
fis-1552	213	1	[	[	X
fis-1552	213	2	9	9	NUM
fis-1552	213	3	]	]	SYM
fis-1552	213	4	lagoda	lagoda	NOUN
fis-1552	213	5	,	,	PUNCT
fis-1552	213	6	t	t	PROPN
fis-1552	213	7	,	,	PUNCT
fis-1552	213	8	macha	macha	PROPN
fis-1552	213	9	,	,	PUNCT
fis-1552	213	10	e	e	PROPN
fis-1552	213	11	,	,	PUNCT
fis-1552	213	12	dragon	dragon	NOUN
fis-1552	213	13	,	,	PUNCT
fis-1552	213	14	a	a	PRON
fis-1552	213	15	,	,	PUNCT
fis-1552	213	16	petit	petit	NOUN
fis-1552	213	17	,	,	PUNCT
fis-1552	213	18	j.	j.	PROPN
fis-1552	213	19	,	,	PUNCT
fis-1552	213	20	influence	influence	NOUN
fis-1552	213	21	of	of	ADP
fis-1552	213	22	correlations	correlation	NOUN
fis-1552	213	23	between	between	ADP
fis-1552	213	24	stresses	stress	NOUN
fis-1552	213	25	on	on	ADP
fis-1552	213	26	calculated	calculate	VERB
fis-1552	213	27	fatigue	fatigue	NOUN
fis-1552	213	28	life	life	NOUN
fis-1552	213	29	of	of	ADP
fis-1552	213	30	machine	machine	NOUN
fis-1552	213	31	elements	element	NOUN
fis-1552	213	32	,	,	PUNCT
fis-1552	213	33	int	int	NOUN
fis-1552	213	34	.	.	PUNCT
fis-1552	214	1	j.	j.	PROPN
fis-1552	214	2	fatigue	fatigue	PROPN
fis-1552	214	3	,	,	PUNCT
fis-1552	214	4	18	18	NUM
fis-1552	214	5	(	(	PUNCT
fis-1552	214	6	1996	1996	NUM
fis-1552	214	7	)	)	PUNCT
fis-1552	214	8	547–555	547–555	NUM
fis-1552	214	9	.	.	PUNCT
fis-1552	215	1	[	[	X
fis-1552	215	2	10	10	NUM
fis-1552	215	3	]	]	X
fis-1552	215	4	carpinteri	carpinteri	NOUN
fis-1552	215	5	,	,	PUNCT
fis-1552	215	6	a	a	DET
fis-1552	215	7	,	,	PUNCT
fis-1552	215	8	karolczuk	karolczuk	PROPN
fis-1552	215	9	,	,	PUNCT
fis-1552	215	10	a.	a.	PROPN
fis-1552	215	11	,	,	PUNCT
fis-1552	215	12	macha	macha	PROPN
fis-1552	215	13	,	,	PUNCT
fis-1552	215	14	e.	e.	PROPN
fis-1552	215	15	,	,	PUNCT
fis-1552	215	16	vantadori	vantadori	PROPN
fis-1552	215	17	,	,	PUNCT
fis-1552	215	18	s.	s.	PROPN
fis-1552	215	19	,	,	PUNCT
fis-1552	215	20	expected	expect	VERB
fis-1552	215	21	position	position	NOUN
fis-1552	215	22	of	of	ADP
fis-1552	215	23	the	the	DET
fis-1552	215	24	fatigue	fatigue	NOUN
fis-1552	215	25	fracture	fracture	NOUN
fis-1552	215	26	plane	plane	NOUN
fis-1552	215	27	by	by	ADP
fis-1552	215	28	using	use	VERB
fis-1552	215	29	the	the	DET
fis-1552	215	30	weighted	weight	VERB
fis-1552	215	31	mean	mean	ADJ
fis-1552	215	32	principal	principal	NOUN
fis-1552	215	33	euler	euler	NOUN
fis-1552	215	34	angels	angel	NOUN
fis-1552	215	35	,	,	PUNCT
fis-1552	215	36	int	int	NOUN
fis-1552	215	37	.	.	PUNCT
fis-1552	216	1	j.	j.	PROPN
fis-1552	216	2	of	of	ADP
fis-1552	216	3	fracture	fracture	PROPN
fis-1552	216	4	,	,	PUNCT
fis-1552	216	5	115	115	NUM
fis-1552	216	6	(	(	PUNCT
fis-1552	216	7	2002	2002	NUM
fis-1552	216	8	)	)	PUNCT
fis-1552	216	9	87	87	NUM
fis-1552	216	10	-	-	SYM
fis-1552	216	11	99	99	NUM
fis-1552	216	12	.	.	PUNCT
fis-1552	217	1	[	[	X
fis-1552	217	2	11	11	NUM
fis-1552	217	3	]	]	X
fis-1552	217	4	będkowski	będkowski	NOUN
fis-1552	217	5	,	,	PUNCT
fis-1552	217	6	w.	w.	PROPN
fis-1552	217	7	,	,	PUNCT
fis-1552	217	8	macha	macha	PROPN
fis-1552	217	9	,	,	PUNCT
fis-1552	217	10	e.	e.	PROPN
fis-1552	217	11	,	,	PUNCT
fis-1552	217	12	fatigue	fatigue	NOUN
fis-1552	217	13	fracture	fracture	PROPN
fis-1552	217	14	plane	plane	NOUN
fis-1552	217	15	under	under	ADP
fis-1552	217	16	multiaxial	multiaxial	ADJ
fis-1552	217	17	random	random	ADJ
fis-1552	217	18	loadings	loading	NOUN
fis-1552	217	19	–	–	PUNCT
fis-1552	217	20	prediction	prediction	NOUN
fis-1552	217	21	by	by	ADP
fis-1552	217	22	variance	variance	NOUN
fis-1552	217	23	of	of	ADP
fis-1552	217	24	equivalent	equivalent	ADJ
fis-1552	217	25	stress	stress	NOUN
fis-1552	217	26	based	base	VERB
fis-1552	217	27	on	on	ADP
fis-1552	217	28	the	the	DET
fis-1552	217	29	maximum	maximum	ADJ
fis-1552	217	30	shear	shear	NOUN
fis-1552	217	31	and	and	CCONJ
fis-1552	217	32	normal	normal	ADJ
fis-1552	217	33	stresses	stress	NOUN
fis-1552	217	34	,	,	PUNCT
fis-1552	217	35	mat.-wiss	mat.-wiss	INTJ
fis-1552	217	36	.	.	PUNCT
fis-1552	218	1	u.	u.	PROPN
fis-1552	218	2	werkstofftech	werkstofftech	PROPN
fis-1552	218	3	.	.	PUNCT
fis-1552	219	1	,	,	PUNCT
fis-1552	219	2	23	23	NUM
fis-1552	219	3	(	(	PUNCT
fis-1552	219	4	1992	1992	NUM
fis-1552	219	5	)	)	PUNCT
fis-1552	219	6	82	82	NUM
fis-1552	219	7	-	-	SYM
fis-1552	219	8	94	94	NUM
fis-1552	219	9	.	.	PUNCT
fis-1552	220	1	[	[	X
fis-1552	220	2	12	12	NUM
fis-1552	220	3	]	]	X
fis-1552	220	4	marciniak	marciniak	PROPN
fis-1552	220	5	,	,	PUNCT
fis-1552	220	6	z.	z.	PROPN
fis-1552	220	7	,	,	PUNCT
fis-1552	220	8	rozumek	rozumek	PROPN
fis-1552	220	9	,	,	PUNCT
fis-1552	220	10	d.	d.	PROPN
fis-1552	220	11	,	,	PUNCT
fis-1552	220	12	macha	macha	PROPN
fis-1552	220	13	,	,	PUNCT
fis-1552	220	14	e.	e.	PROPN
fis-1552	220	15	,	,	PUNCT
fis-1552	220	16	verification	verification	NOUN
fis-1552	220	17	of	of	ADP
fis-1552	220	18	fatigue	fatigue	NOUN
fis-1552	220	19	critical	critical	ADJ
fis-1552	220	20	plane	plane	NOUN
fis-1552	220	21	position	position	NOUN
fis-1552	220	22	according	accord	VERB
fis-1552	220	23	to	to	ADP
fis-1552	220	24	variance	variance	NOUN
fis-1552	220	25	and	and	CCONJ
fis-1552	220	26	damage	damage	NOUN
fis-1552	220	27	accumulation	accumulation	NOUN
fis-1552	220	28	methods	method	NOUN
fis-1552	220	29	under	under	ADP
fis-1552	220	30	multiaxial	multiaxial	ADJ
fis-1552	220	31	loading	loading	NOUN
fis-1552	220	32	,	,	PUNCT
fis-1552	220	33	int	int	NOUN
fis-1552	220	34	.	.	PUNCT
fis-1552	221	1	j.	j.	PROPN
fis-1552	221	2	of	of	ADP
fis-1552	221	3	fatigue	fatigue	NOUN
fis-1552	221	4	,	,	PUNCT
fis-1552	221	5	58	58	NUM
fis-1552	221	6	(	(	PUNCT
fis-1552	221	7	2014	2014	NUM
fis-1552	221	8	)	)	PUNCT
fis-1552	221	9	84	84	NUM
fis-1552	221	10	-	-	SYM
fis-1552	221	11	93	93	NUM
fis-1552	221	12	.	.	PUNCT
fis-1552	222	1	[	[	X
fis-1552	222	2	13	13	NUM
fis-1552	222	3	]	]	SYM
fis-1552	222	4	korn	korn	PROPN
fis-1552	222	5	,	,	PUNCT
fis-1552	222	6	ga	ga	PROPN
fis-1552	222	7	,	,	PUNCT
fis-1552	222	8	korn	korn	PROPN
fis-1552	222	9	tm	tm	PROPN
fis-1552	222	10	.	.	PROPN
fis-1552	222	11	,	,	PUNCT
fis-1552	222	12	mathematical	mathematical	ADJ
fis-1552	222	13	handbook	handbook	NOUN
fis-1552	222	14	,	,	PUNCT
fis-1552	222	15	sec	sec	PROPN
fis-1552	222	16	.	.	PUNCT
fis-1552	223	1	ed	ed	PROPN
fis-1552	223	2	.	.	PROPN
fis-1552	223	3	,	,	PUNCT
fis-1552	223	4	mc	mc	PROPN
fis-1552	223	5	graw	graw	PROPN
fis-1552	223	6	-	-	PUNCT
fis-1552	223	7	hill	hill	NOUN
fis-1552	223	8	book	book	NOUN
fis-1552	223	9	company	company	NOUN
fis-1552	223	10	,	,	PUNCT
fis-1552	223	11	new	new	PROPN
fis-1552	223	12	york	york	PROPN
fis-1552	223	13	,	,	PUNCT
fis-1552	223	14	(	(	PUNCT
fis-1552	223	15	1968	1968	NUM
fis-1552	223	16	)	)	PUNCT
fis-1552	223	17	.	.	PUNCT
fis-1552	224	1	[	[	X
fis-1552	224	2	14	14	NUM
fis-1552	224	3	]	]	PUNCT
fis-1552	224	4	grzelak	grzelak	NOUN
fis-1552	224	5	,	,	PUNCT
fis-1552	224	6	j.	j.	PROPN
fis-1552	224	7	,	,	PUNCT
fis-1552	224	8	lagoda	lagoda	PROPN
fis-1552	224	9	,	,	PUNCT
fis-1552	224	10	t.	t.	PROPN
fis-1552	224	11	,	,	PUNCT
fis-1552	224	12	macha	macha	PROPN
fis-1552	224	13	,	,	PUNCT
fis-1552	224	14	e.	e.	PROPN
fis-1552	224	15	,	,	PUNCT
fis-1552	224	16	spectral	spectral	ADJ
fis-1552	224	17	-	-	PUNCT
fis-1552	224	18	analysis	analysis	NOUN
fis-1552	224	19	of	of	ADP
fis-1552	224	20	the	the	DET
fis-1552	224	21	criteria	criterion	NOUN
fis-1552	224	22	for	for	ADP
fis-1552	224	23	multiaxial	multiaxial	ADJ
fis-1552	224	24	random	random	ADJ
fis-1552	224	25	fatigue	fatigue	NOUN
fis-1552	224	26	,	,	PUNCT
fis-1552	224	27	mat.-wiss	mat.-wiss	PROPN
fis-1552	224	28	.	.	PUNCT
fis-1552	225	1	u.	u.	PROPN
fis-1552	225	2	werkstofftech	werkstofftech	PROPN
fis-1552	225	3	.	.	PUNCT
fis-1552	226	1	,	,	PUNCT
fis-1552	226	2	22	22	NUM
fis-1552	226	3	(	(	PUNCT
fis-1552	226	4	1991	1991	NUM
fis-1552	226	5	)	)	PUNCT
fis-1552	226	6	85	85	NUM
fis-1552	226	7	-	-	SYM
fis-1552	226	8	98	98	NUM
fis-1552	226	9	.	.	PUNCT
fis-1552	227	1	[	[	X
fis-1552	227	2	15	15	NUM
fis-1552	227	3	]	]	X
fis-1552	227	4	niesłony	niesłony	NOUN
fis-1552	227	5	,	,	PUNCT
fis-1552	227	6	a.	a.	PROPN
fis-1552	227	7	,	,	PUNCT
fis-1552	227	8	macha	macha	PROPN
fis-1552	227	9	,	,	PUNCT
fis-1552	227	10	e.	e.	PROPN
fis-1552	227	11	,	,	PUNCT
fis-1552	227	12	spectral	spectral	ADJ
fis-1552	227	13	method	method	NOUN
fis-1552	227	14	in	in	ADP
fis-1552	227	15	multiaxial	multiaxial	ADJ
fis-1552	227	16	random	random	ADJ
fis-1552	227	17	fatigue	fatigue	NOUN
fis-1552	227	18	,	,	PUNCT
fis-1552	227	19	springer	springer	NOUN
fis-1552	227	20	-	-	PUNCT
fis-1552	227	21	verlag	verlag	PROPN
fis-1552	227	22	berlin	berlin	PROPN
fis-1552	227	23	heidelberg	heidelberg	PROPN
fis-1552	227	24	,	,	PUNCT
fis-1552	227	25	(	(	PUNCT
fis-1552	227	26	2007	2007	NUM
fis-1552	227	27	)	)	PUNCT
fis-1552	227	28	147	147	NUM
fis-1552	227	29	.	.	PUNCT
fis-1552	228	1	[	[	X
fis-1552	228	2	16	16	NUM
fis-1552	228	3	]	]	X
fis-1552	228	4	neuber	neuber	PROPN
fis-1552	228	5	,	,	PUNCT
fis-1552	228	6	h.	h.	PROPN
fis-1552	228	7	,	,	PUNCT
fis-1552	228	8	theory	theory	NOUN
fis-1552	228	9	of	of	ADP
fis-1552	228	10	stress	stress	ADJ
fis-1552	228	11	concentration	concentration	NOUN
fis-1552	228	12	for	for	ADP
fis-1552	228	13	shear	shear	NOUN
fis-1552	228	14	-	-	PUNCT
fis-1552	228	15	strained	strain	VERB
fis-1552	228	16	prismatical	prismatical	ADJ
fis-1552	228	17	bodies	body	NOUN
fis-1552	228	18	with	with	ADP
fis-1552	228	19	arbitrary	arbitrary	ADJ
fis-1552	228	20	nonlinear	nonlinear	ADJ
fis-1552	228	21	stress	stress	NOUN
fis-1552	228	22	-	-	PUNCT
fis-1552	228	23	strain	strain	NOUN
fis-1552	228	24	law	law	NOUN
fis-1552	228	25	,	,	PUNCT
fis-1552	228	26	asme	asme	PROPN
fis-1552	228	27	j.	j.	PROPN
fis-1552	228	28	applied	applied	PROPN
fis-1552	228	29	mech	mech	PROPN
fis-1552	228	30	.	.	PUNCT
fis-1552	229	1	28	28	NUM
fis-1552	229	2	(	(	PUNCT
fis-1552	229	3	1961	1961	NUM
fis-1552	229	4	)	)	PUNCT
fis-1552	229	5	544	544	NUM
fis-1552	229	6	-	-	SYM
fis-1552	229	7	550	550	NUM
fis-1552	229	8	.	.	PUNCT
fis-1552	230	1	[	[	X
fis-1552	230	2	17	17	NUM
fis-1552	230	3	]	]	X
fis-1552	230	4	molski	molski	PROPN
fis-1552	230	5	k.	k.	PROPN
fis-1552	230	6	,	,	PUNCT
fis-1552	230	7	glinka	glinka	PROPN
fis-1552	230	8	g.	g.	PROPN
fis-1552	230	9	a	a	DET
fis-1552	230	10	method	method	NOUN
fis-1552	230	11	of	of	ADP
fis-1552	230	12	elastic	elastic	ADJ
fis-1552	230	13	-	-	PUNCT
fis-1552	230	14	plastic	plastic	NOUN
fis-1552	230	15	stress	stress	NOUN
fis-1552	230	16	and	and	CCONJ
fis-1552	230	17	strain	strain	VERB
fis-1552	230	18	calculation	calculation	NOUN
fis-1552	230	19	at	at	ADP
fis-1552	230	20	a	a	DET
fis-1552	230	21	notch	notch	ADJ
fis-1552	230	22	root	root	NOUN
fis-1552	230	23	,	,	PUNCT
fis-1552	230	24	mat	mat	NOUN
fis-1552	230	25	.	.	PUNCT
fis-1552	230	26	sci	sci	PROPN
fis-1552	230	27	.	.	PROPN
fis-1552	230	28	and	and	CCONJ
fis-1552	230	29	engng	engng	NOUN
fis-1552	230	30	.	.	PUNCT
fis-1552	231	1	50	50	NUM
fis-1552	231	2	(	(	PUNCT
fis-1552	231	3	1981	1981	NUM
fis-1552	231	4	)	)	PUNCT
fis-1552	231	5	93	93	NUM
fis-1552	231	6	-	-	SYM
fis-1552	231	7	100	100	NUM
fis-1552	231	8	.	.	PUNCT
fis-1552	232	1	[	[	X
fis-1552	232	2	18	18	NUM
fis-1552	232	3	]	]	SYM
fis-1552	232	4	łagoda	łagoda	NOUN
fis-1552	232	5	,	,	PUNCT
fis-1552	232	6	t.	t.	PROPN
fis-1552	232	7	,	,	PUNCT
fis-1552	232	8	macha	macha	PROPN
fis-1552	232	9	,	,	PUNCT
fis-1552	232	10	e.	e.	PROPN
fis-1552	232	11	,	,	PUNCT
fis-1552	232	12	multiaxial	multiaxial	ADJ
fis-1552	232	13	random	random	ADJ
fis-1552	232	14	fatigue	fatigue	NOUN
fis-1552	232	15	of	of	ADP
fis-1552	232	16	machine	machine	NOUN
fis-1552	232	17	elements	element	NOUN
fis-1552	232	18	and	and	CCONJ
fis-1552	232	19	structures	structure	NOUN
fis-1552	232	20	,	,	PUNCT
fis-1552	232	21	cyclic	cyclic	ADJ
fis-1552	232	22	energy	energy	NOUN
fis-1552	232	23	based	base	VERB
fis-1552	232	24	multiaxial	multiaxial	ADJ
fis-1552	232	25	fatigue	fatigue	NOUN
fis-1552	232	26	criteria	criterion	NOUN
fis-1552	232	27	to	to	ADP
fis-1552	232	28	random	random	ADJ
fis-1552	232	29	loading	loading	NOUN
fis-1552	232	30	,	,	PUNCT
fis-1552	232	31	part	part	NOUN
fis-1552	232	32	iii	iii	NOUN
fis-1552	232	33	,	,	PUNCT
fis-1552	232	34	studies	study	NOUN
fis-1552	232	35	and	and	CCONJ
fis-1552	232	36	monographs	monograph	NOUN
fis-1552	232	37	104	104	NUM
fis-1552	232	38	,	,	PUNCT
fis-1552	232	39	opole	opole	PROPN
fis-1552	232	40	university	university	PROPN
fis-1552	232	41	of	of	ADP
fis-1552	232	42	technology	technology	PROPN
fis-1552	232	43	,	,	PUNCT
fis-1552	232	44	opole	opole	PROPN
fis-1552	232	45	,	,	PUNCT
fis-1552	232	46	(	(	PUNCT
fis-1552	232	47	1998	1998	NUM
fis-1552	232	48	)	)	PUNCT
fis-1552	232	49	(	(	PUNCT
fis-1552	232	50	in	in	ADP
fis-1552	232	51	polish	polish	NOUN
fis-1552	232	52	)	)	PUNCT
fis-1552	232	53	.	.	PUNCT
fis-1552	233	1	[	[	X
fis-1552	233	2	19	19	NUM
fis-1552	233	3	]	]	X
fis-1552	233	4	rozumek	rozumek	PROPN
fis-1552	233	5	,	,	PUNCT
fis-1552	233	6	d.	d.	PROPN
fis-1552	233	7	,	,	PUNCT
fis-1552	233	8	marciniak	marciniak	PROPN
fis-1552	233	9	,	,	PUNCT
fis-1552	233	10	z.	z.	PROPN
fis-1552	233	11	,	,	PUNCT
fis-1552	233	12	fatigue	fatigue	NOUN
fis-1552	233	13	properties	property	NOUN
fis-1552	233	14	of	of	ADP
fis-1552	233	15	notched	notch	VERB
fis-1552	233	16	specimens	specimen	NOUN
fis-1552	233	17	made	make	VERB
fis-1552	233	18	of	of	ADP
fis-1552	233	19	fep04	fep04	PROPN
fis-1552	233	20	steel	steel	NOUN
fis-1552	233	21	,	,	PUNCT
fis-1552	233	22	materials	material	NOUN
fis-1552	233	23	science	science	NOUN
fis-1552	233	24	,	,	PUNCT
fis-1552	233	25	47	47	NUM
fis-1552	233	26	(	(	PUNCT
fis-1552	233	27	2012	2012	NUM
fis-1552	233	28	)	)	PUNCT
fis-1552	233	29	462	462	NUM
fis-1552	233	30	-	-	SYM
fis-1552	233	31	469	469	NUM
fis-1552	233	32	.	.	PUNCT
fis-1552	234	1	[	[	X
fis-1552	234	2	20	20	NUM
fis-1552	234	3	]	]	SYM
fis-1552	234	4	łagoda	łagoda	NOUN
fis-1552	234	5	,	,	PUNCT
fis-1552	234	6	t.	t.	PROPN
fis-1552	234	7	,	,	PUNCT
fis-1552	234	8	macha	macha	PROPN
fis-1552	234	9	,	,	PUNCT
fis-1552	234	10	e.	e.	PROPN
fis-1552	234	11	,	,	PUNCT
fis-1552	234	12	będkowski	będkowski	PROPN
fis-1552	234	13	,	,	PUNCT
fis-1552	234	14	w.	w.	PROPN
fis-1552	234	15	,	,	PUNCT
fis-1552	234	16	a	a	DET
fis-1552	234	17	critical	critical	ADJ
fis-1552	234	18	plane	plane	NOUN
fis-1552	234	19	approach	approach	NOUN
fis-1552	234	20	based	base	VERB
fis-1552	234	21	on	on	ADP
fis-1552	234	22	energy	energy	NOUN
fis-1552	234	23	concepts	concept	NOUN
fis-1552	234	24	:	:	PUNCT
fis-1552	234	25	application	application	NOUN
fis-1552	234	26	to	to	ADP
fis-1552	234	27	biaxial	biaxial	ADJ
fis-1552	234	28	random	random	ADJ
fis-1552	234	29	tension	tension	NOUN
fis-1552	234	30	–	–	PUNCT
fis-1552	234	31	compression	compression	NOUN
fis-1552	234	32	high	high	ADJ
fis-1552	234	33	-	-	PUNCT
fis-1552	234	34	cycle	cycle	NOUN
fis-1552	234	35	fatigue	fatigue	NOUN
fis-1552	234	36	regime	regime	NOUN
fis-1552	234	37	,	,	PUNCT
fis-1552	234	38	int	int	NOUN
fis-1552	234	39	.	.	PUNCT
fis-1552	235	1	j.	j.	PROPN
fis-1552	235	2	fatigue	fatigue	PROPN
fis-1552	235	3	,	,	PUNCT
fis-1552	235	4	21	21	NUM
fis-1552	235	5	(	(	PUNCT
fis-1552	235	6	1999	1999	NUM
fis-1552	235	7	)	)	PUNCT
fis-1552	235	8	431–443	431–443	NUM
fis-1552	235	9	.	.	PUNCT
fis-1552	236	1	[	[	X
fis-1552	236	2	21	21	NUM
fis-1552	236	3	]	]	X
fis-1552	236	4	karolczuk	karolczuk	PROPN
fis-1552	236	5	,	,	PUNCT
fis-1552	236	6	a.	a.	PROPN
fis-1552	236	7	,	,	PUNCT
fis-1552	236	8	macha	macha	PROPN
fis-1552	236	9	,	,	PUNCT
fis-1552	236	10	e.	e.	PROPN
fis-1552	236	11	,	,	PUNCT
fis-1552	236	12	critical	critical	ADJ
fis-1552	236	13	planes	plane	NOUN
fis-1552	236	14	in	in	ADP
fis-1552	236	15	multiaxial	multiaxial	ADJ
fis-1552	236	16	fatigue	fatigue	NOUN
fis-1552	236	17	of	of	ADP
fis-1552	236	18	materials	material	NOUN
fis-1552	236	19	,	,	PUNCT
fis-1552	236	20	monograph	monograph	NOUN
fis-1552	236	21	.	.	PUNCT
fis-1552	236	22	fortschritt	fortschritt	VERB
fis-1552	236	23	-	-	PUNCT
fis-1552	236	24	berichte	berichte	NOUN
fis-1552	236	25	vdi	vdi	PROPN
fis-1552	236	26	,	,	PUNCT
fis-1552	236	27	mechanik	mechanik	X
fis-1552	236	28	/	/	SYM
fis-1552	236	29	bruchmechanik	bruchmechanik	NOUN
fis-1552	236	30	,	,	PUNCT
fis-1552	236	31	reihe	reihe	PROPN
fis-1552	236	32	18	18	NUM
fis-1552	236	33	,	,	PUNCT
fis-1552	236	34	nr	nr	PROPN
fis-1552	236	35	.	.	PROPN
fis-1552	236	36	298	298	NUM
fis-1552	236	37	.	.	PUNCT
fis-1552	237	1	düsseldorf	düsseldorf	PROPN
fis-1552	237	2	:	:	PUNCT
fis-1552	237	3	vdi	vdi	PROPN
fis-1552	237	4	verlag	verlag	PROPN
fis-1552	237	5	,	,	PUNCT
fis-1552	237	6	(	(	PUNCT
fis-1552	237	7	2005	2005	NUM
fis-1552	237	8	)	)	PUNCT
fis-1552	237	9	204	204	NUM
fis-1552	237	10	.	.	PUNCT
fis-1552	238	1	[	[	X
fis-1552	238	2	22	22	NUM
fis-1552	238	3	]	]	X
fis-1552	238	4	manson	manson	PROPN
fis-1552	238	5	,	,	PUNCT
fis-1552	238	6	s.s	s.s	PROPN
fis-1552	238	7	.	.	PROPN
fis-1552	238	8	,	,	PUNCT
fis-1552	238	9	behaviour	behaviour	NOUN
fis-1552	238	10	of	of	ADP
fis-1552	238	11	materials	material	NOUN
fis-1552	238	12	under	under	ADP
fis-1552	238	13	conditions	condition	NOUN
fis-1552	238	14	of	of	ADP
fis-1552	238	15	thermal	thermal	ADJ
fis-1552	238	16	stress	stress	NOUN
fis-1552	238	17	,	,	PUNCT
fis-1552	238	18	naca	naca	ADJ
fis-1552	238	19	tn-2933	tn-2933	NOUN
fis-1552	238	20	,	,	PUNCT
fis-1552	238	21	(	(	PUNCT
fis-1552	238	22	1953	1953	NUM
fis-1552	238	23	)	)	PUNCT
fis-1552	238	24	.	.	PUNCT
fis-1552	239	1	[	[	X
fis-1552	239	2	23	23	NUM
fis-1552	239	3	]	]	PUNCT
fis-1552	239	4	coffin	coffin	NOUN
fis-1552	239	5	,	,	PUNCT
fis-1552	239	6	l.f	l.f	PROPN
fis-1552	239	7	.	.	PROPN
fis-1552	239	8	,	,	PUNCT
fis-1552	239	9	a	a	DET
fis-1552	239	10	study	study	NOUN
fis-1552	239	11	of	of	ADP
fis-1552	239	12	the	the	DET
fis-1552	239	13	effects	effect	NOUN
fis-1552	239	14	of	of	ADP
fis-1552	239	15	cyclic	cyclic	ADJ
fis-1552	239	16	thermal	thermal	ADJ
fis-1552	239	17	stresses	stress	NOUN
fis-1552	239	18	on	on	ADP
fis-1552	239	19	a	a	DET
fis-1552	239	20	ductile	ductile	NOUN
fis-1552	239	21	metal	metal	NOUN
fis-1552	239	22	,	,	PUNCT
fis-1552	239	23	trans	tran	NOUN
fis-1552	239	24	.	.	PUNCT
fis-1552	240	1	asme	asme	PROPN
fis-1552	240	2	76	76	NUM
fis-1552	240	3	(	(	PUNCT
fis-1552	240	4	1954	1954	NUM
fis-1552	240	5	)	)	PUNCT
fis-1552	240	6	931	931	NUM
fis-1552	240	7	-	-	SYM
fis-1552	240	8	950	950	NUM
fis-1552	240	9	.	.	PUNCT
fis-1552	241	1	[	[	X
fis-1552	241	2	24	24	NUM
fis-1552	241	3	]	]	X
fis-1552	241	4	basquin	basquin	NOUN
fis-1552	241	5	,	,	PUNCT
fis-1552	241	6	o.h	o.h	PROPN
fis-1552	241	7	.	.	PROPN
fis-1552	241	8	,	,	PUNCT
fis-1552	241	9	the	the	DET
fis-1552	241	10	experimental	experimental	ADJ
fis-1552	241	11	law	law	NOUN
fis-1552	241	12	of	of	ADP
fis-1552	241	13	endaurance	endaurance	PROPN
fis-1552	241	14	test	test	NOUN
fis-1552	241	15	,	,	PUNCT
fis-1552	241	16	astm	astm	PROPN
fis-1552	241	17	,	,	PUNCT
fis-1552	241	18	10	10	NUM
fis-1552	241	19	(	(	PUNCT
fis-1552	241	20	1910	1910	NUM
fis-1552	241	21	)	)	PUNCT
fis-1552	241	22	625	625	NUM
fis-1552	241	23	-	-	SYM
fis-1552	241	24	630	630	NUM
fis-1552	241	25	.	.	PUNCT
fis-1552	242	1	[	[	X
fis-1552	242	2	25	25	NUM
fis-1552	242	3	]	]	X
fis-1552	242	4	macha	macha	PROPN
fis-1552	242	5	,	,	PUNCT
fis-1552	242	6	e.	e.	PROPN
fis-1552	242	7	,	,	PUNCT
fis-1552	242	8	słowik	słowik	PROPN
fis-1552	242	9	,	,	PUNCT
fis-1552	242	10	j.	j.	PROPN
fis-1552	242	11	,	,	PUNCT
fis-1552	242	12	pawliczek	pawliczek	PROPN
fis-1552	242	13	,	,	PUNCT
fis-1552	242	14	r.	r.	PROPN
fis-1552	242	15	,	,	PUNCT
fis-1552	242	16	energy	energy	NOUN
fis-1552	242	17	based	base	VERB
fis-1552	242	18	characterization	characterization	NOUN
fis-1552	242	19	of	of	ADP
fis-1552	242	20	fatigue	fatigue	NOUN
fis-1552	242	21	behavior	behavior	NOUN
fis-1552	242	22	of	of	ADP
fis-1552	242	23	cyclically	cyclically	ADV
fis-1552	242	24	unstable	unstable	ADJ
fis-1552	242	25	materials	material	NOUN
fis-1552	242	26	,	,	PUNCT
fis-1552	242	27	solid	solid	ADJ
fis-1552	242	28	state	state	NOUN
fis-1552	242	29	phenomena	phenomenon	NOUN
fis-1552	242	30	,	,	PUNCT
fis-1552	242	31	147	147	NUM
fis-1552	242	32	-	-	SYM
fis-1552	242	33	149	149	NUM
fis-1552	242	34	(	(	PUNCT
fis-1552	242	35	2009	2009	NUM
fis-1552	242	36	)	)	PUNCT
fis-1552	242	37	512	512	NUM
fis-1552	242	38	-	-	SYM
fis-1552	242	39	517	517	NUM
fis-1552	242	40	.	.	PUNCT
fis-1552	243	1	[	[	X
fis-1552	243	2	26	26	NUM
fis-1552	243	3	]	]	X
fis-1552	243	4	rozumek	rozumek	PROPN
fis-1552	243	5	,	,	PUNCT
fis-1552	243	6	d.	d.	PROPN
fis-1552	243	7	,	,	PUNCT
fis-1552	243	8	macha	macha	PROPN
fis-1552	243	9	,	,	PUNCT
fis-1552	243	10	e.	e.	PROPN
fis-1552	243	11	,	,	PUNCT
fis-1552	243	12	a	a	DET
fis-1552	243	13	survey	survey	NOUN
fis-1552	243	14	of	of	ADP
fis-1552	243	15	failure	failure	NOUN
fis-1552	243	16	criteria	criterion	NOUN
fis-1552	243	17	and	and	CCONJ
fis-1552	243	18	parameters	parameter	NOUN
fis-1552	243	19	in	in	ADP
fis-1552	243	20	mixed	mixed	ADJ
fis-1552	243	21	-	-	PUNCT
fis-1552	243	22	mode	mode	NOUN
fis-1552	243	23	fatigue	fatigue	NOUN
fis-1552	243	24	crack	crack	NOUN
fis-1552	243	25	growth	growth	NOUN
fis-1552	243	26	,	,	PUNCT
fis-1552	243	27	materials	material	NOUN
fis-1552	243	28	science	science	NOUN
fis-1552	243	29	,	,	PUNCT
fis-1552	243	30	45	45	NUM
fis-1552	243	31	(	(	PUNCT
fis-1552	243	32	2009	2009	NUM
fis-1552	243	33	)	)	PUNCT
fis-1552	243	34	190	190	NUM
fis-1552	243	35	-	-	SYM
fis-1552	243	36	210	210	NUM
fis-1552	243	37	.	.	PUNCT
fis-1552	244	1	[	[	X
fis-1552	244	2	27	27	NUM
fis-1552	244	3	]	]	X
fis-1552	244	4	rozumek	rozumek	PROPN
fis-1552	244	5	,	,	PUNCT
fis-1552	244	6	d.	d.	PROPN
fis-1552	244	7	,	,	PUNCT
fis-1552	244	8	macha	macha	PROPN
fis-1552	244	9	,	,	PUNCT
fis-1552	244	10	e.	e.	PROPN
fis-1552	244	11	,	,	PUNCT
fis-1552	244	12	j	j	PROPN
fis-1552	244	13	-	-	NOUN
fis-1552	244	14	integral	integral	ADJ
fis-1552	244	15	in	in	ADP
fis-1552	244	16	the	the	DET
fis-1552	244	17	description	description	NOUN
fis-1552	244	18	of	of	ADP
fis-1552	244	19	fatigue	fatigue	NOUN
fis-1552	244	20	crack	crack	NOUN
fis-1552	244	21	growth	growth	NOUN
fis-1552	244	22	rate	rate	NOUN
fis-1552	244	23	induced	induce	VERB
fis-1552	244	24	by	by	ADP
fis-1552	244	25	different	different	ADJ
fis-1552	244	26	ratios	ratio	NOUN
fis-1552	244	27	of	of	ADP
fis-1552	244	28	torsion	torsion	NOUN
fis-1552	244	29	to	to	ADP
fis-1552	244	30	bending	bend	VERB
fis-1552	244	31	loading	loading	NOUN
fis-1552	244	32	in	in	ADP
fis-1552	244	33	alcu4mg1	alcu4mg1	PRON
fis-1552	244	34	,	,	PUNCT
fis-1552	244	35	mat.-wiss	mat.-wiss	PROPN
fis-1552	244	36	.	.	PUNCT
fis-1552	245	1	u.	u.	PROPN
fis-1552	245	2	werkstofftech	werkstofftech	PROPN
fis-1552	245	3	.	.	PUNCT
fis-1552	246	1	,	,	PUNCT
fis-1552	246	2	40	40	NUM
fis-1552	246	3	(	(	PUNCT
fis-1552	246	4	2009	2009	NUM
fis-1552	246	5	)	)	PUNCT
fis-1552	246	6	743	743	NUM
fis-1552	246	7	-	-	SYM
fis-1552	246	8	749	749	NUM
fis-1552	246	9	.	.	PUNCT
fis-1552	247	1	[	[	X
fis-1552	247	2	28	28	NUM
fis-1552	247	3	]	]	X
fis-1552	247	4	rozumek	rozumek	PROPN
fis-1552	247	5	,	,	PUNCT
fis-1552	247	6	d.	d.	PROPN
fis-1552	247	7	,	,	PUNCT
fis-1552	247	8	mixed	mixed	ADJ
fis-1552	247	9	mode	mode	NOUN
fis-1552	247	10	fatigue	fatigue	NOUN
fis-1552	247	11	cracks	crack	NOUN
fis-1552	247	12	of	of	ADP
fis-1552	247	13	constructional	constructional	ADJ
fis-1552	247	14	materials	material	NOUN
fis-1552	247	15	,	,	PUNCT
fis-1552	247	16	studies	study	NOUN
fis-1552	247	17	and	and	CCONJ
fis-1552	247	18	monographs	monograph	NOUN
fis-1552	247	19	,	,	PUNCT
fis-1552	247	20	no	no	INTJ
fis-1552	247	21	.	.	PUNCT
fis-1552	247	22	241	241	NUM
fis-1552	247	23	,	,	PUNCT
fis-1552	247	24	opole	opole	PROPN
fis-1552	247	25	university	university	PROPN
fis-1552	247	26	of	of	ADP
fis-1552	247	27	technology	technology	PROPN
fis-1552	247	28	,	,	PUNCT
fis-1552	247	29	opole	opole	PROPN
fis-1552	247	30	,	,	PUNCT
fis-1552	247	31	(	(	PUNCT
fis-1552	247	32	2009	2009	NUM
fis-1552	247	33	)	)	PUNCT
fis-1552	247	34	(	(	PUNCT
fis-1552	247	35	in	in	ADP
fis-1552	247	36	polish	polish	NOUN
fis-1552	247	37	)	)	PUNCT
fis-1552	247	38	.	.	PUNCT