id	sid	tid	token	lemma	pos
alkej-905	1	1	this	this	PRON
alkej-905	1	2	is	be	AUX
alkej-905	1	3	an	an	DET
alkej-905	1	4	open	open	ADJ
alkej-905	1	5	access	access	NOUN
alkej-905	1	6	article	article	NOUN
alkej-905	1	7	under	under	ADP
alkej-905	1	8	the	the	DET
alkej-905	1	9	cc	cc	NOUN
alkej-905	1	10	by	by	ADP
alkej-905	1	11	license	license	NOUN
alkej-905	1	12	al	al	PROPN
alkej-905	1	13	-	-	PUNCT
alkej-905	1	14	khwarizmi	khwarizmi	PROPN
alkej-905	1	15	engineering	engineering	PROPN
alkej-905	1	16	journal	journal	PROPN
alkej-905	1	17	al	al	PROPN
alkej-905	1	18	-	-	PUNCT
alkej-905	1	19	khwarizmi	khwarizmi	PROPN
alkej-905	1	20	engineering	engineering	PROPN
alkej-905	1	21	journal	journal	PROPN
alkej-905	1	22	issn	issn	PROPN
alkej-905	1	23	(	(	PUNCT
alkej-905	1	24	printed	print	VERB
alkej-905	1	25	):	):	PUNCT
alkej-905	1	26	1818	1818	NUM
alkej-905	1	27	–	–	PUNCT
alkej-905	1	28	1171	1171	NUM
alkej-905	1	29	,	,	PUNCT
alkej-905	1	30	issn	issn	PROPN
alkej-905	1	31	(	(	PUNCT
alkej-905	1	32	online	online	ADJ
alkej-905	1	33	):	):	PUNCT
alkej-905	1	34	2312	2312	NUM
alkej-905	1	35	–	–	PUNCT
alkej-905	1	36	0789	0789	NUM
alkej-905	1	37	vol	vol	NOUN
alkej-905	1	38	.	.	PROPN
alkej-905	1	39	20	20	NUM
alkej-905	1	40	,	,	PUNCT
alkej-905	1	41	no	no	INTJ
alkej-905	1	42	.	.	NOUN
alkej-905	1	43	4	4	NUM
alkej-905	1	44	,	,	PUNCT
alkej-905	1	45	december	december	PROPN
alkej-905	1	46	(	(	PUNCT
alkej-905	1	47	2024	2024	NUM
alkej-905	1	48	)	)	PUNCT
alkej-905	1	49	,	,	PUNCT
alkej-905	1	50	pp	pp	ADP
alkej-905	1	51	.	.	PUNCT
alkej-905	2	1	58	58	NUM
alkej-905	2	2	-	-	SYM
alkej-905	2	3	69	69	NUM
alkej-905	2	4	in	in	ADP
alkej-905	2	5	plane	plane	NOUN
alkej-905	2	6	loading	loading	NOUN
alkej-905	2	7	he	he	PRON
alkej-905	2	8	effect	effect	NOUN
alkej-905	2	9	of	of	ADP
alkej-905	2	10	combined	combined	ADJ
alkej-905	2	11	cycling	cycling	NOUN
alkej-905	2	12	tmodified	tmodifie	VERB
alkej-905	2	13	study	study	NOUN
alkej-905	2	14	for	for	ADP
alkej-905	2	15	on	on	ADP
alkej-905	2	16	dynamic	dynamic	ADJ
alkej-905	2	17	edge	edge	NOUN
alkej-905	2	18	crack	crack	NOUN
alkej-905	2	19	propagation	propagation	NOUN
alkej-905	2	20	in	in	ADP
alkej-905	2	21	a	a	DET
alkej-905	2	22	thin	thin	ADJ
alkej-905	2	23	plate	plate	NOUN
alkej-905	2	24	2fathi	2fathi	NUM
alkej-905	2	25	a.	a.	NOUN
alkej-905	2	26	a.	a.	PROPN
alkej-905	2	27	alshamma	alshamma	PROPN
alkej-905	2	28	,	,	PUNCT
alkej-905	2	29	*	*	PROPN
alkej-905	2	30	1israa	1israa	NUM
alkej-905	2	31	abed	abe	VERB
alkej-905	2	32	alrazak	alrazak	NOUN
alkej-905	2	33	mosleh	mosleh	PROPN
alkej-905	2	34	raqbaghdad	raqbaghdad	PROPN
alkej-905	2	35	,	,	PUNCT
alkej-905	2	36	i	i	PRON
alkej-905	2	37	,	,	PUNCT
alkej-905	2	38	of	of	ADP
alkej-905	2	39	baghdad	baghdad	PROPN
alkej-905	2	40	college	college	PROPN
alkej-905	2	41	of	of	ADP
alkej-905	2	42	engineering	engineering	PROPN
alkej-905	2	43	,	,	PUNCT
alkej-905	2	44	university	university	NOUN
alkej-905	2	45	mechanical	mechanical	ADJ
alkej-905	2	46	department	department	NOUN
alkej-905	2	47	,	,	PUNCT
alkej-905	2	48	1,2	1,2	NUM
alkej-905	2	49	israa.mosleh2003m@coeng.uobaghdad.edu.iq	israa.mosleh2003m@coeng.uobaghdad.edu.iq	NUM
alkej-905	2	50	:	:	PUNCT
alkej-905	2	51	s	s	AUX
alkej-905	2	52	email’corresponding	email’corresponde	VERB
alkej-905	2	53	author	author	NOUN
alkej-905	2	54	*	*	PUNCT
alkej-905	2	55	(	(	PUNCT
alkej-905	2	56	received	receive	VERB
alkej-905	2	57	11	11	NUM
alkej-905	2	58	september	september	PROPN
alkej-905	2	59	2023	2023	NUM
alkej-905	2	60	;	;	PUNCT
alkej-905	2	61	revised	revise	VERB
alkej-905	2	62	26	26	NUM
alkej-905	2	63	december	december	PROPN
alkej-905	2	64	2023	2023	NUM
alkej-905	2	65	;	;	PUNCT
alkej-905	2	66	accepted	accept	VERB
alkej-905	2	67	19	19	NUM
alkej-905	2	68	march	march	NOUN
alkej-905	2	69	2024	2024	NUM
alkej-905	2	70	;	;	PUNCT
alkej-905	2	71	published	publish	VERB
alkej-905	2	72	1	1	NUM
alkej-905	2	73	december	december	PROPN
alkej-905	2	74	2024	2024	NUM
alkej-905	2	75	)	)	PUNCT
alkej-905	2	76	https://doi.org/10.22153/kej.2024.03.003	https://doi.org/10.22153/kej.2024.03.003	NOUN
alkej-905	2	77	abstract	abstract	NOUN
alkej-905	2	78	the	the	DET
alkej-905	2	79	significant	significant	ADJ
alkej-905	2	80	risks	risk	NOUN
alkej-905	2	81	associated	associate	VERB
alkej-905	2	82	with	with	ADP
alkej-905	2	83	the	the	DET
alkej-905	2	84	occurrence	occurrence	NOUN
alkej-905	2	85	of	of	ADP
alkej-905	2	86	mechanical	mechanical	ADJ
alkej-905	2	87	cracks	crack	NOUN
alkej-905	2	88	in	in	ADP
alkej-905	2	89	engineering	engineering	NOUN
alkej-905	2	90	applications	application	NOUN
alkej-905	2	91	are	be	AUX
alkej-905	2	92	investigated	investigate	VERB
alkej-905	2	93	in	in	ADP
alkej-905	2	94	this	this	DET
alkej-905	2	95	paper	paper	NOUN
alkej-905	2	96	.	.	PUNCT
alkej-905	3	1	in	in	ADP
alkej-905	3	2	particular	particular	ADJ
alkej-905	3	3	,	,	PUNCT
alkej-905	3	4	the	the	DET
alkej-905	3	5	specific	specific	ADJ
alkej-905	3	6	type	type	NOUN
alkej-905	3	7	of	of	ADP
alkej-905	3	8	crack	crack	NOUN
alkej-905	3	9	propagation	propagation	NOUN
alkej-905	3	10	that	that	PRON
alkej-905	3	11	results	result	VERB
alkej-905	3	12	from	from	ADP
alkej-905	3	13	mixed	mixed	ADJ
alkej-905	3	14	mode	mode	NOUN
alkej-905	3	15	loading	loading	NOUN
alkej-905	3	16	(	(	PUNCT
alkej-905	3	17	modes	mode	NOUN
alkej-905	3	18	i	i	PRON
alkej-905	3	19	and	and	CCONJ
alkej-905	3	20	ii	ii	NOUN
alkej-905	3	21	)	)	PUNCT
alkej-905	3	22	,	,	PUNCT
alkej-905	3	23	which	which	PRON
alkej-905	3	24	spreads	spread	VERB
alkej-905	3	25	throughout	throughout	ADP
alkej-905	3	26	most	most	ADJ
alkej-905	3	27	structures	structure	NOUN
alkej-905	3	28	,	,	PUNCT
alkej-905	3	29	and	and	CCONJ
alkej-905	3	30	the	the	DET
alkej-905	3	31	conditions	condition	NOUN
alkej-905	3	32	under	under	ADP
alkej-905	3	33	which	which	PRON
alkej-905	3	34	it	it	PRON
alkej-905	3	35	can	can	AUX
alkej-905	3	36	occur	occur	VERB
alkej-905	3	37	are	be	AUX
alkej-905	3	38	presented	present	VERB
alkej-905	3	39	.	.	PUNCT
alkej-905	4	1	following	follow	VERB
alkej-905	4	2	the	the	DET
alkej-905	4	3	linear	linear	ADJ
alkej-905	4	4	elastic	elastic	ADJ
alkej-905	4	5	fracture	fracture	NOUN
alkej-905	4	6	mechanics	mechanic	NOUN
alkej-905	4	7	theory	theory	NOUN
alkej-905	4	8	,	,	PUNCT
alkej-905	4	9	non	non	ADJ
alkej-905	4	10	-	-	ADJ
alkej-905	4	11	proportional	proportional	ADJ
alkej-905	4	12	loading	loading	NOUN
alkej-905	4	13	on	on	ADP
alkej-905	4	14	specimens	specimen	NOUN
alkej-905	4	15	of	of	ADP
alkej-905	4	16	aluminium	aluminium	NOUN
alkej-905	4	17	alloy	alloy	NOUN
alkej-905	4	18	was	be	AUX
alkej-905	4	19	accomplished	accomplish	VERB
alkej-905	4	20	by	by	ADP
alkej-905	4	21	applying	apply	VERB
alkej-905	4	22	constant	constant	ADJ
alkej-905	4	23	tensile	tensile	NOUN
alkej-905	4	24	loads	load	NOUN
alkej-905	4	25	in	in	ADP
alkej-905	4	26	conjunction	conjunction	NOUN
alkej-905	4	27	with	with	ADP
alkej-905	4	28	periodic	periodic	ADJ
alkej-905	4	29	shear	shear	NOUN
alkej-905	4	30	loads	load	NOUN
alkej-905	4	31	.	.	PUNCT
alkej-905	5	1	a	a	DET
alkej-905	5	2	theoretical	theoretical	ADJ
alkej-905	5	3	equation	equation	NOUN
alkej-905	5	4	for	for	ADP
alkej-905	5	5	the	the	DET
alkej-905	5	6	dynamic	dynamic	ADJ
alkej-905	5	7	crack	crack	NOUN
alkej-905	5	8	growth	growth	NOUN
alkej-905	5	9	rate	rate	NOUN
alkej-905	5	10	was	be	AUX
alkej-905	5	11	constructed	construct	VERB
alkej-905	5	12	using	use	VERB
alkej-905	5	13	griffiths	griffiths	PROPN
alkej-905	5	14	law	law	PROPN
alkej-905	5	15	for	for	ADP
alkej-905	5	16	mixed	mixed	ADJ
alkej-905	5	17	mode	mode	NOUN
alkej-905	5	18	i	i	PROPN
alkej-905	5	19	/	/	SYM
alkej-905	5	20	ii	ii	PROPN
alkej-905	5	21	of	of	ADP
alkej-905	5	22	the	the	DET
alkej-905	5	23	dynamic	dynamic	ADJ
alkej-905	5	24	crack	crack	NOUN
alkej-905	5	25	growth	growth	NOUN
alkej-905	5	26	.	.	PUNCT
alkej-905	6	1	this	this	DET
alkej-905	6	2	equation	equation	NOUN
alkej-905	6	3	considers	consider	VERB
alkej-905	6	4	the	the	DET
alkej-905	6	5	influence	influence	NOUN
alkej-905	6	6	of	of	ADP
alkej-905	6	7	dynamic	dynamic	ADJ
alkej-905	6	8	crack	crack	NOUN
alkej-905	6	9	propagation	propagation	NOUN
alkej-905	6	10	.	.	PUNCT
alkej-905	7	1	experimentally	experimentally	ADV
alkej-905	7	2	,	,	PUNCT
alkej-905	7	3	a	a	DET
alkej-905	7	4	locally	locally	ADV
alkej-905	7	5	designed	design	VERB
alkej-905	7	6	laboratory	laboratory	NOUN
alkej-905	7	7	apparatus	apparatus	NOUN
alkej-905	7	8	was	be	AUX
alkej-905	7	9	modified	modify	VERB
alkej-905	7	10	to	to	PART
alkej-905	7	11	suit	suit	VERB
alkej-905	7	12	the	the	DET
alkej-905	7	13	nature	nature	NOUN
alkej-905	7	14	of	of	ADP
alkej-905	7	15	the	the	DET
alkej-905	7	16	applied	apply	VERB
alkej-905	7	17	loads	load	NOUN
alkej-905	7	18	on	on	ADP
alkej-905	7	19	samples	sample	NOUN
alkej-905	7	20	with	with	ADP
alkej-905	7	21	edge	edge	NOUN
alkej-905	7	22	pre	pre	NOUN
alkej-905	7	23	-	-	NOUN
alkej-905	7	24	cracks	crack	NOUN
alkej-905	7	25	and	and	CCONJ
alkej-905	7	26	two	two	NUM
alkej-905	7	27	types	type	NOUN
alkej-905	7	28	of	of	ADP
alkej-905	7	29	samples	sample	NOUN
alkej-905	7	30	of	of	ADP
alkej-905	7	31	aluminium	aluminium	NOUN
alkej-905	7	32	alloys	alloy	NOUN
alkej-905	7	33	(	(	PUNCT
alkej-905	7	34	aa	aa	NOUN
alkej-905	7	35	)	)	PUNCT
alkej-905	7	36	,	,	PUNCT
alkej-905	7	37	6061	6061	NUM
alkej-905	7	38	and	and	CCONJ
alkej-905	7	39	5052	5052	NUM
alkej-905	7	40	,	,	PUNCT
alkej-905	7	41	at	at	SCONJ
alkej-905	7	42	the	the	DET
alkej-905	7	43	uni	uni	ADJ
alkej-905	7	44	-	-	ADJ
alkej-905	7	45	standard	standard	ADJ
alkej-905	7	46	system	system	NOUN
alkej-905	7	47	with	with	ADP
alkej-905	7	48	an	an	DET
alkej-905	7	49	edge	edge	NOUN
alkej-905	7	50	crack	crack	NOUN
alkej-905	7	51	length	length	NOUN
alkej-905	7	52	of	of	ADP
alkej-905	7	53	5	5	NUM
alkej-905	7	54	mm	mm	NOUN
alkej-905	7	55	at	at	ADP
alkej-905	7	56	mid	mid	ADJ
alkej-905	7	57	were	be	AUX
alkej-905	7	58	used	use	VERB
alkej-905	7	59	.	.	PUNCT
alkej-905	8	1	a	a	DET
alkej-905	8	2	comparison	comparison	NOUN
alkej-905	8	3	of	of	ADP
alkej-905	8	4	the	the	DET
alkej-905	8	5	types	type	NOUN
alkej-905	8	6	of	of	ADP
alkej-905	8	7	alloys	alloy	NOUN
alkej-905	8	8	used	use	VERB
alkej-905	8	9	to	to	PART
alkej-905	8	10	verify	verify	VERB
alkej-905	8	11	the	the	DET
alkej-905	8	12	validity	validity	NOUN
alkej-905	8	13	of	of	ADP
alkej-905	8	14	the	the	DET
alkej-905	8	15	results	result	NOUN
alkej-905	8	16	was	be	AUX
alkej-905	8	17	performed	perform	VERB
alkej-905	8	18	.	.	PUNCT
alkej-905	9	1	the	the	DET
alkej-905	9	2	results	result	NOUN
alkej-905	9	3	showed	show	VERB
alkej-905	9	4	acceptable	acceptable	ADJ
alkej-905	9	5	agreement	agreement	NOUN
alkej-905	9	6	in	in	ADP
alkej-905	9	7	determining	determine	VERB
alkej-905	9	8	crack	crack	NOUN
alkej-905	9	9	propagation	propagation	NOUN
alkej-905	9	10	rate	rate	NOUN
alkej-905	9	11	when	when	SCONJ
alkej-905	9	12	predicting	predict	VERB
alkej-905	9	13	the	the	DET
alkej-905	9	14	results	result	NOUN
alkej-905	9	15	of	of	ADP
alkej-905	9	16	the	the	DET
alkej-905	9	17	theoretical	theoretical	ADJ
alkej-905	9	18	and	and	CCONJ
alkej-905	9	19	experimental	experimental	ADJ
alkej-905	9	20	analyses	analysis	NOUN
alkej-905	9	21	.	.	PUNCT
alkej-905	10	1	the	the	DET
alkej-905	10	2	results	result	NOUN
alkej-905	10	3	in	in	ADP
alkej-905	10	4	the	the	DET
alkej-905	10	5	sample	sample	NOUN
alkej-905	10	6	showed	show	VERB
alkej-905	10	7	5052	5052	NUM
alkej-905	10	8	(	(	PUNCT
alkej-905	10	9	0.0006	0.0006	NUM
alkej-905	10	10	,	,	PUNCT
alkej-905	10	11	0.000633	0.000633	NUM
alkej-905	10	12	)	)	PUNCT
alkej-905	10	13	mm	mm	PROPN
alkej-905	10	14	/	/	SYM
alkej-905	10	15	sec	sec	PROPN
alkej-905	10	16	for	for	ADP
alkej-905	10	17	the	the	DET
alkej-905	10	18	experimental	experimental	ADJ
alkej-905	10	19	and	and	CCONJ
alkej-905	10	20	theoretical	theoretical	ADJ
alkej-905	10	21	results	result	NOUN
alkej-905	10	22	,	,	PUNCT
alkej-905	10	23	respectively	respectively	ADV
alkej-905	10	24	.	.	PUNCT
alkej-905	11	1	in	in	ADP
alkej-905	11	2	contrast	contrast	NOUN
alkej-905	11	3	,	,	PUNCT
alkej-905	11	4	the	the	DET
alkej-905	11	5	crack	crack	NOUN
alkej-905	11	6	propagation	propagation	NOUN
alkej-905	11	7	rate	rate	NOUN
alkej-905	11	8	amounted	amount	VERB
alkej-905	11	9	to	to	ADP
alkej-905	11	10	6061	6061	NUM
alkej-905	11	11	(	(	PUNCT
alkej-905	11	12	0.000183	0.000183	NUM
alkej-905	11	13	,	,	PUNCT
alkej-905	11	14	0.000222	0.000222	NUM
alkej-905	11	15	)	)	PUNCT
alkej-905	11	16	mm	mm	PROPN
alkej-905	11	17	/	/	SYM
alkej-905	11	18	sec	sec	PROPN
alkej-905	11	19	for	for	ADP
alkej-905	11	20	the	the	DET
alkej-905	11	21	experimental	experimental	ADJ
alkej-905	11	22	and	and	CCONJ
alkej-905	11	23	theoretical	theoretical	ADJ
alkej-905	11	24	results	result	NOUN
alkej-905	11	25	,	,	PUNCT
alkej-905	11	26	respectively	respectively	ADV
alkej-905	11	27	.	.	PUNCT
alkej-905	12	1	hence	hence	ADV
alkej-905	12	2	,	,	PUNCT
alkej-905	12	3	sample	sample	NOUN
alkej-905	12	4	5052	5052	NUM
alkej-905	12	5	started	start	VERB
alkej-905	12	6	faster	fast	ADV
alkej-905	12	7	and	and	CCONJ
alkej-905	12	8	propagated	propagate	VERB
alkej-905	12	9	cracks	crack	NOUN
alkej-905	12	10	faster	fast	ADV
alkej-905	12	11	than	than	ADP
alkej-905	12	12	alloy	alloy	NOUN
alkej-905	12	13	6061	6061	NUM
alkej-905	12	14	.	.	PUNCT
alkej-905	13	1	keywords	keyword	NOUN
alkej-905	13	2	:	:	PUNCT
alkej-905	13	3	mixed	mixed	ADJ
alkej-905	13	4	mode	mode	NOUN
alkej-905	13	5	;	;	PUNCT
alkej-905	13	6	shear	shear	NOUN
alkej-905	13	7	cycling	cycling	NOUN
alkej-905	13	8	load	load	NOUN
alkej-905	13	9	;	;	PUNCT
alkej-905	13	10	crack	crack	VERB
alkej-905	13	11	propagation	propagation	NOUN
alkej-905	13	12	;	;	PUNCT
alkej-905	13	13	combined	combined	ADJ
alkej-905	13	14	loads	load	NOUN
alkej-905	13	15	and	and	CCONJ
alkej-905	13	16	crack	crack	VERB
alkej-905	13	17	growth	growth	NOUN
alkej-905	13	18	1	1	NUM
alkej-905	13	19	.	.	PUNCT
alkej-905	14	1	introduction	introduction	NOUN
alkej-905	14	2	mechanical	mechanical	ADJ
alkej-905	14	3	fracture	fracture	NOUN
alkej-905	14	4	is	be	AUX
alkej-905	14	5	one	one	NUM
alkej-905	14	6	of	of	ADP
alkej-905	14	7	the	the	DET
alkej-905	14	8	problem	problem	NOUN
alkej-905	14	9	types	type	NOUN
alkej-905	14	10	of	of	ADP
alkej-905	14	11	failure	failure	NOUN
alkej-905	14	12	that	that	PRON
alkej-905	14	13	must	must	AUX
alkej-905	14	14	be	be	AUX
alkej-905	14	15	considered	consider	VERB
alkej-905	14	16	when	when	SCONJ
alkej-905	14	17	analysing	analyse	VERB
alkej-905	14	18	and	and	CCONJ
alkej-905	14	19	constructing	construct	VERB
alkej-905	14	20	any	any	DET
alkej-905	14	21	structural	structural	ADJ
alkej-905	14	22	or	or	CCONJ
alkej-905	14	23	mechanical	mechanical	ADJ
alkej-905	14	24	machine	machine	NOUN
alkej-905	14	25	because	because	SCONJ
alkej-905	14	26	crack	crack	NOUN
alkej-905	14	27	growth	growth	NOUN
alkej-905	14	28	is	be	AUX
alkej-905	14	29	one	one	NUM
alkej-905	14	30	of	of	ADP
alkej-905	14	31	the	the	DET
alkej-905	14	32	most	most	ADV
alkej-905	14	33	common	common	ADJ
alkej-905	14	34	causes	cause	NOUN
alkej-905	14	35	of	of	ADP
alkej-905	14	36	failure	failure	NOUN
alkej-905	14	37	in	in	ADP
alkej-905	14	38	material	material	NOUN
alkej-905	14	39	[	[	X
alkej-905	14	40	1][2	1][2	NUM
alkej-905	14	41	]	]	PUNCT
alkej-905	14	42	.	.	PUNCT
alkej-905	15	1	hence	hence	ADV
alkej-905	15	2	,	,	PUNCT
alkej-905	15	3	investigating	investigate	VERB
alkej-905	15	4	the	the	DET
alkej-905	15	5	types	type	NOUN
alkej-905	15	6	of	of	ADP
alkej-905	15	7	mechanical	mechanical	ADJ
alkej-905	15	8	failures	failure	NOUN
alkej-905	15	9	that	that	PRON
alkej-905	15	10	can	can	AUX
alkej-905	15	11	happen	happen	VERB
alkej-905	15	12	and	and	CCONJ
alkej-905	15	13	represent	represent	VERB
alkej-905	15	14	a	a	DET
alkej-905	15	15	risk	risk	NOUN
alkej-905	15	16	to	to	ADP
alkej-905	15	17	human	human	ADJ
alkej-905	15	18	lives	life	NOUN
alkej-905	15	19	and	and	CCONJ
alkej-905	15	20	material	material	NOUN
alkej-905	15	21	losses	loss	NOUN
alkej-905	15	22	is	be	AUX
alkej-905	15	23	necessary	necessary	ADJ
alkej-905	15	24	to	to	PART
alkej-905	15	25	treat	treat	VERB
alkej-905	15	26	or	or	CCONJ
alkej-905	15	27	prevent	prevent	VERB
alkej-905	15	28	occurences	occurence	NOUN
alkej-905	15	29	.	.	PUNCT
alkej-905	16	1	the	the	DET
alkej-905	16	2	majority	majority	NOUN
alkej-905	16	3	of	of	ADP
alkej-905	16	4	mechanical	mechanical	ADJ
alkej-905	16	5	applications	application	NOUN
alkej-905	16	6	,	,	PUNCT
alkej-905	16	7	including	include	VERB
alkej-905	16	8	to	to	ADP
alkej-905	16	9	bridges	bridge	NOUN
alkej-905	16	10	,	,	PUNCT
alkej-905	16	11	aircraft	aircraft	NOUN
alkej-905	16	12	,	,	PUNCT
alkej-905	16	13	and	and	CCONJ
alkej-905	16	14	shafts	shafts	ADJ
alkej-905	16	15	that	that	SCONJ
alkej-905	16	16	conduct	conduct	NOUN
alkej-905	16	17	movement	movement	NOUN
alkej-905	16	18	,	,	PUNCT
alkej-905	16	19	are	be	AUX
alkej-905	16	20	subjected	subject	VERB
alkej-905	16	21	to	to	ADP
alkej-905	16	22	compound	compound	NOUN
alkej-905	16	23	loads	load	NOUN
alkej-905	16	24	.	.	PUNCT
alkej-905	17	1	these	these	DET
alkej-905	17	2	combined	combined	ADJ
alkej-905	17	3	loads	load	NOUN
alkej-905	17	4	are	be	AUX
alkej-905	17	5	subdivided	subdivide	VERB
alkej-905	17	6	into	into	ADP
alkej-905	17	7	proportional	proportional	ADJ
alkej-905	17	8	and	and	CCONJ
alkej-905	17	9	non	non	ADJ
alkej-905	17	10	-	-	ADJ
alkej-905	17	11	proportional	proportional	ADJ
alkej-905	17	12	loads	load	NOUN
alkej-905	17	13	.	.	PUNCT
alkej-905	18	1	detecting	detect	VERB
alkej-905	18	2	the	the	DET
alkej-905	18	3	highest	high	ADJ
alkej-905	18	4	stress	stress	NOUN
alkej-905	18	5	or	or	CCONJ
alkej-905	18	6	calculating	calculate	VERB
alkej-905	18	7	the	the	DET
alkej-905	18	8	magnitude	magnitude	NOUN
alkej-905	18	9	of	of	ADP
alkej-905	18	10	non	non	ADJ
alkej-905	18	11	-	-	ADJ
alkej-905	18	12	proportional	proportional	ADJ
alkej-905	18	13	loading	loading	NOUN
alkej-905	18	14	in	in	ADP
alkej-905	18	15	mechanical	mechanical	ADJ
alkej-905	18	16	construction	construction	NOUN
alkej-905	18	17	can	can	AUX
alkej-905	18	18	be	be	AUX
alkej-905	18	19	very	very	ADV
alkej-905	18	20	challenging	challenging	ADJ
alkej-905	18	21	.	.	PUNCT
alkej-905	19	1	moreover	moreover	ADV
alkej-905	19	2	,	,	PUNCT
alkej-905	19	3	pinpointing	pinpoint	VERB
alkej-905	19	4	exactly	exactly	ADV
alkej-905	19	5	where	where	SCONJ
alkej-905	19	6	the	the	DET
alkej-905	19	7	collapse	collapse	NOUN
alkej-905	19	8	will	will	AUX
alkej-905	19	9	occur	occur	VERB
alkej-905	19	10	is	be	AUX
alkej-905	19	11	impossible	impossible	ADJ
alkej-905	19	12	.	.	PUNCT
alkej-905	20	1	the	the	DET
alkej-905	20	2	timing	timing	NOUN
alkej-905	20	3	of	of	ADP
alkej-905	20	4	the	the	DET
alkej-905	20	5	first	first	ADJ
alkej-905	20	6	crack	crack	NOUN
alkej-905	20	7	propagation	propagation	NOUN
alkej-905	20	8	and	and	CCONJ
alkej-905	20	9	the	the	DET
alkej-905	20	10	pace	pace	NOUN
alkej-905	20	11	at	at	ADP
alkej-905	20	12	which	which	PRON
alkej-905	20	13	the	the	DET
alkej-905	20	14	crack	crack	NOUN
alkej-905	20	15	spreads	spread	NOUN
alkej-905	20	16	are	be	AUX
alkej-905	20	17	the	the	DET
alkej-905	20	18	two	two	NUM
alkej-905	20	19	primary	primary	ADJ
alkej-905	20	20	factors	factor	NOUN
alkej-905	20	21	considered	consider	VERB
alkej-905	20	22	when	when	SCONJ
alkej-905	20	23	determining	determine	VERB
alkej-905	20	24	how	how	SCONJ
alkej-905	20	25	long	long	ADJ
alkej-905	20	26	a	a	DET
alkej-905	20	27	mechanical	mechanical	ADJ
alkej-905	20	28	fracture	fracture	NOUN
alkej-905	20	29	will	will	AUX
alkej-905	20	30	last	last	VERB
alkej-905	20	31	.	.	PUNCT
alkej-905	21	1	many	many	ADJ
alkej-905	21	2	factors	factor	NOUN
alkej-905	21	3	are	be	AUX
alkej-905	21	4	affected	affect	VERB
alkej-905	21	5	by	by	ADP
alkej-905	21	6	cracks	crack	NOUN
alkej-905	21	7	resulting	result	VERB
alkej-905	21	8	from	from	ADP
alkej-905	21	9	the	the	DET
alkej-905	21	10	mixed	mixed	ADJ
alkej-905	21	11	mode	mode	NOUN
alkej-905	22	1	[	[	X
alkej-905	22	2	3	3	NUM
alkej-905	22	3	]	]	X
alkej-905	22	4	_	_	PUNCT
alkej-905	23	1	_	_	PUNCT
alkej-905	24	1	_	_	PUNCT
alkej-905	25	1	_	_	PUNCT
alkej-905	26	1	that	that	PRON
alkej-905	26	2	affect	affect	VERB
alkej-905	26	3	it	it	PRON
alkej-905	26	4	directly	directly	ADV
alkej-905	26	5	.	.	PUNCT
alkej-905	27	1	moreover	moreover	ADV
alkej-905	27	2	,	,	PUNCT
alkej-905	27	3	the	the	DET
alkej-905	27	4	ratio	ratio	NOUN
alkej-905	27	5	of	of	ADP
alkej-905	27	6	the	the	DET
alkej-905	27	7	length	length	NOUN
alkej-905	27	8	of	of	ADP
alkej-905	27	9	the	the	DET
alkej-905	27	10	crack	crack	NOUN
alkej-905	27	11	should	should	AUX
alkej-905	27	12	not	not	PART
alkej-905	27	13	exceed	exceed	VERB
alkej-905	27	14	stage	stage	NOUN
alkej-905	27	15	i	i	PRON
alkej-905	27	16	;	;	PUNCT
alkej-905	27	17	that	that	ADV
alkej-905	27	18	is	is	ADV
alkej-905	27	19	,	,	PUNCT
alkej-905	27	20	it	it	PRON
alkej-905	27	21	should	should	AUX
alkej-905	27	22	remain	remain	VERB
alkej-905	27	23	within	within	ADP
alkej-905	27	24	the	the	DET
alkej-905	27	25	first	first	ADJ
alkej-905	27	26	stage	stage	NOUN
alkej-905	27	27	in	in	ADP
alkej-905	27	28	the	the	DET
alkej-905	27	29	paris	paris	PROPN
alkej-905	27	30	eq	eq	PROPN
alkej-905	27	31	.	.	PUNCT
alkej-905	28	1	(	(	PUNCT
alkej-905	28	2	1	1	NUM
alkej-905	28	3	)	)	PUNCT
alkej-905	28	4	.	.	PUNCT
alkej-905	29	1	(	(	PUNCT
alkej-905	29	2	(	(	PUNCT
alkej-905	29	3	da	da	NOUN
alkej-905	29	4	dn)⁄	dn)⁄	NOUN
alkej-905	29	5	=	=	SYM
alkej-905	29	6	c(δkequ	c(δkequ	PROPN
alkej-905	29	7	)	)	PUNCT
alkej-905	29	8	m	m	PROPN
alkej-905	29	9	)	)	PUNCT
alkej-905	29	10	…	…	PUNCT
alkej-905	29	11	(	(	PUNCT
alkej-905	29	12	1	1	NUM
alkej-905	29	13	)	)	PUNCT
alkej-905	29	14	where	where	SCONJ
alkej-905	29	15	the	the	DET
alkej-905	29	16	k	k	PROPN
alkej-905	29	17	equivalent	equivalent	NOUN
alkej-905	29	18	represents	represent	VERB
alkej-905	29	19	the	the	DET
alkej-905	29	20	value	value	NOUN
alkej-905	29	21	of	of	ADP
alkej-905	29	22	the	the	DET
alkej-905	29	23	equivalent	equivalent	ADJ
alkej-905	29	24	stress	stress	NOUN
alkej-905	29	25	intensity	intensity	NOUN
alkej-905	29	26	factor	factor	NOUN
alkej-905	29	27	for	for	ADP
alkej-905	29	28	modes	mode	NOUN
alkej-905	29	29	i	i	PRON
alkej-905	29	30	and	and	CCONJ
alkej-905	29	31	ii	ii	PROPN
alkej-905	29	32	,	,	PUNCT
alkej-905	29	33	which	which	PRON
alkej-905	29	34	represents	represent	VERB
alkej-905	29	35	the	the	DET
alkej-905	29	36	difference	difference	NOUN
alkej-905	29	37	between	between	ADP
alkej-905	29	38	the	the	DET
alkej-905	29	39	maximum	maximum	ADJ
alkej-905	29	40	and	and	CCONJ
alkej-905	29	41	minimum	minimum	ADJ
alkej-905	29	42	values	value	NOUN
alkej-905	29	43	of	of	ADP
alkej-905	29	44	the	the	DET
alkej-905	29	45	equivalent	equivalent	ADJ
alkej-905	29	46	mailto:israa.mosleh2003m@coeng.uobaghdad.edu.iq	mailto:israa.mosleh2003m@coeng.uobaghdad.edu.iq	NOUN
alkej-905	29	47	https://doi.org/10.22153/kej.2024.03.003	https://doi.org/10.22153/kej.2024.03.003	X
alkej-905	29	48	israa	israa	NOUN
alkej-905	29	49	abed	abe	VERB
alkej-905	29	50	alrazak	alrazak	PROPN
alkej-905	29	51	al	al	PROPN
alkej-905	29	52	-	-	PUNCT
alkej-905	29	53	khwarizmi	khwarizmi	PROPN
alkej-905	29	54	engineering	engineering	NOUN
alkej-905	29	55	journal	journal	PROPN
alkej-905	29	56	,	,	PUNCT
alkej-905	29	57	vol	vol	NOUN
alkej-905	29	58	.	.	PROPN
alkej-905	29	59	20	20	NUM
alkej-905	29	60	,	,	PUNCT
alkej-905	29	61	no.4	no.4	PROPN
alkej-905	29	62	,	,	PUNCT
alkej-905	29	63	p.p	p.p	PROPN
alkej-905	29	64	.	.	PROPN
alkej-905	29	65	58–69(2024	58–69(2024	PROPN
alkej-905	29	66	)	)	PUNCT
alkej-905	29	67	59	59	NUM
alkej-905	29	68	stress	stress	NOUN
alkej-905	29	69	intensity	intensity	NOUN
alkej-905	29	70	factor	factor	NOUN
alkej-905	29	71	.	.	PUNCT
alkej-905	30	1	a	a	DET
alkej-905	30	2	number	number	NOUN
alkej-905	30	3	of	of	ADP
alkej-905	30	4	factors	factor	NOUN
alkej-905	30	5	,	,	PUNCT
alkej-905	30	6	which	which	PRON
alkej-905	30	7	have	have	VERB
alkej-905	30	8	a	a	DET
alkej-905	30	9	direct	direct	ADJ
alkej-905	30	10	effect	effect	NOUN
alkej-905	30	11	on	on	ADP
alkej-905	30	12	the	the	DET
alkej-905	30	13	growth	growth	NOUN
alkej-905	30	14	and	and	CCONJ
alkej-905	30	15	velocity	velocity	NOUN
alkej-905	30	16	of	of	ADP
alkej-905	30	17	spread	spread	NOUN
alkej-905	30	18	include	include	VERB
alkej-905	30	19	the	the	DET
alkej-905	30	20	rate	rate	NOUN
alkej-905	30	21	of	of	ADP
alkej-905	30	22	diffusion	diffusion	NOUN
alkej-905	30	23	,	,	PUNCT
alkej-905	30	24	age	age	NOUN
alkej-905	30	25	of	of	ADP
alkej-905	30	26	the	the	DET
alkej-905	30	27	metal	metal	NOUN
alkej-905	30	28	,	,	PUNCT
alkej-905	30	29	nanostructure	nanostructure	NOUN
alkej-905	30	30	of	of	ADP
alkej-905	30	31	the	the	DET
alkej-905	30	32	metal[4	metal[4	PROPN
alkej-905	30	33	]	]	X
alkej-905	30	34	,	,	PUNCT
alkej-905	30	35	[	[	X
alkej-905	30	36	5	5	NUM
alkej-905	30	37	]	]	PUNCT
alkej-905	30	38	and	and	CCONJ
alkej-905	30	39	temperature	temperature	NOUN
alkej-905	30	40	[	[	X
alkej-905	30	41	6	6	NUM
alkej-905	30	42	]	]	PUNCT
alkej-905	30	43	,	,	PUNCT
alkej-905	30	44	[	[	X
alkej-905	30	45	7	7	X
alkej-905	30	46	]	]	PUNCT
alkej-905	30	47	shoud	shoud	NOUN
alkej-905	30	48	also	also	ADV
alkej-905	30	49	be	be	AUX
alkej-905	30	50	considered	consider	VERB
alkej-905	30	51	to	to	PART
alkej-905	30	52	avoid	avoid	VERB
alkej-905	30	53	propagation	propagation	NOUN
alkej-905	30	54	in	in	ADP
alkej-905	30	55	the	the	DET
alkej-905	30	56	material	material	NOUN
alkej-905	30	57	.	.	PUNCT
alkej-905	31	1	jahed	jahe	VERB
alkej-905	31	2	and	and	CCONJ
alkej-905	31	3	col	col	PROPN
alkej-905	31	4	suggested	suggest	VERB
alkej-905	31	5	using	use	VERB
alkej-905	31	6	the	the	DET
alkej-905	31	7	formulas	formula	NOUN
alkej-905	31	8	model	model	NOUN
alkej-905	31	9	,	,	PUNCT
alkej-905	31	10	which	which	PRON
alkej-905	31	11	focuses	focus	VERB
alkej-905	31	12	on	on	ADP
alkej-905	31	13	the	the	DET
alkej-905	31	14	strain	strain	ADJ
alkej-905	31	15	energy	energy	NOUN
alkej-905	31	16	of	of	ADP
alkej-905	31	17	the	the	DET
alkej-905	31	18	various	various	ADJ
alkej-905	31	19	metals	metal	NOUN
alkej-905	31	20	.	.	PUNCT
alkej-905	32	1	the	the	DET
alkej-905	32	2	occurrence	occurrence	NOUN
alkej-905	32	3	of	of	ADP
alkej-905	32	4	failure	failure	NOUN
alkej-905	32	5	on	on	ADP
alkej-905	32	6	various	various	ADJ
alkej-905	32	7	metallic	metallic	ADJ
alkej-905	32	8	materials	material	NOUN
alkej-905	32	9	can	can	AUX
alkej-905	32	10	be	be	AUX
alkej-905	32	11	anticipated	anticipate	VERB
alkej-905	32	12	by	by	ADP
alkej-905	32	13	applying	apply	VERB
alkej-905	32	14	uniaxial	uniaxial	ADJ
alkej-905	32	15	and	and	CCONJ
alkej-905	32	16	proportional	proportional	ADJ
alkej-905	32	17	loading	loading	NOUN
alkej-905	32	18	at	at	ADP
alkej-905	32	19	low	low	ADJ
alkej-905	32	20	cycle	cycle	NOUN
alkej-905	32	21	fatigue	fatigue	NOUN
alkej-905	32	22	and	and	CCONJ
alkej-905	32	23	high	high	ADJ
alkej-905	32	24	cycle	cycle	NOUN
alkej-905	32	25	fatigue	fatigue	NOUN
alkej-905	32	26	.	.	PUNCT
alkej-905	33	1	the	the	DET
alkej-905	33	2	complete	complete	ADJ
alkej-905	33	3	failure	failure	NOUN
alkej-905	33	4	of	of	ADP
alkej-905	33	5	the	the	DET
alkej-905	33	6	material	material	NOUN
alkej-905	33	7	is	be	AUX
alkej-905	33	8	based	base	VERB
alkej-905	33	9	on	on	ADP
alkej-905	33	10	the	the	DET
alkej-905	33	11	sum	sum	NOUN
alkej-905	33	12	of	of	ADP
alkej-905	33	13	their	their	PRON
alkej-905	33	14	strain	strain	NOUN
alkej-905	33	15	energies	energy	NOUN
alkej-905	33	16	when	when	SCONJ
alkej-905	33	17	it	it	PRON
alkej-905	33	18	is	be	AUX
alkej-905	33	19	in	in	ADP
alkej-905	33	20	the	the	DET
alkej-905	33	21	condition	condition	NOUN
alkej-905	33	22	of	of	ADP
alkej-905	33	23	elasticity	elasticity	NOUN
alkej-905	33	24	and	and	CCONJ
alkej-905	33	25	plasticity	plasticity	NOUN
alkej-905	33	26	.	.	PUNCT
alkej-905	34	1	this	this	DET
alkej-905	34	2	approach	approach	NOUN
alkej-905	34	3	can	can	AUX
alkej-905	34	4	be	be	AUX
alkej-905	34	5	achieved	achieve	VERB
alkej-905	34	6	by	by	ADP
alkej-905	34	7	applying	apply	VERB
alkej-905	34	8	loading	loading	NOUN
alkej-905	34	9	in	in	ADP
alkej-905	34	10	both	both	CCONJ
alkej-905	34	11	the	the	DET
alkej-905	34	12	longitudinal	longitudinal	ADJ
alkej-905	34	13	and	and	CCONJ
alkej-905	34	14	transverse	transverse	ADJ
alkej-905	34	15	directions	direction	NOUN
alkej-905	34	16	[	[	X
alkej-905	34	17	8	8	NUM
alkej-905	34	18	]	]	PUNCT
alkej-905	34	19	.	.	PUNCT
alkej-905	35	1	zain	zain	PROPN
alkej-905	35	2	and	and	CCONJ
alkej-905	35	3	alshamma	alshamma	PROPN
alkej-905	35	4	designed	design	VERB
alkej-905	35	5	a	a	DET
alkej-905	35	6	new	new	ADJ
alkej-905	35	7	laboratory	laboratory	NOUN
alkej-905	35	8	apparatus	apparatus	NOUN
alkej-905	35	9	capable	capable	ADJ
alkej-905	35	10	of	of	ADP
alkej-905	35	11	applying	apply	VERB
alkej-905	35	12	single	single	ADJ
alkej-905	35	13	or	or	CCONJ
alkej-905	35	14	multiple	multiple	ADJ
alkej-905	35	15	cyclic	cyclic	ADJ
alkej-905	35	16	loadings	loading	NOUN
alkej-905	35	17	,	,	PUNCT
alkej-905	35	18	which	which	PRON
alkej-905	35	19	facilitated	facilitate	VERB
alkej-905	35	20	the	the	DET
alkej-905	35	21	analysis	analysis	NOUN
alkej-905	35	22	of	of	ADP
alkej-905	35	23	samples	sample	NOUN
alkej-905	35	24	of	of	ADP
alkej-905	35	25	genuine	genuine	ADJ
alkej-905	35	26	tubes	tube	NOUN
alkej-905	35	27	with	with	ADP
alkej-905	35	28	realistic	realistic	ADJ
alkej-905	35	29	sizes	size	NOUN
alkej-905	35	30	and	and	CCONJ
alkej-905	35	31	the	the	DET
alkej-905	35	32	study	study	NOUN
alkej-905	35	33	of	of	ADP
alkej-905	35	34	crack	crack	NOUN
alkej-905	35	35	growth	growth	NOUN
alkej-905	35	36	rate	rate	NOUN
alkej-905	35	37	experimentally	experimentally	ADV
alkej-905	35	38	and	and	CCONJ
alkej-905	35	39	numerically	numerically	ADV
alkej-905	35	40	using	use	VERB
alkej-905	35	41	the	the	DET
alkej-905	35	42	forman	forman	NOUN
alkej-905	35	43	equation	equation	NOUN
alkej-905	35	44	[	[	X
alkej-905	35	45	9	9	NUM
alkej-905	35	46	]	]	PUNCT
alkej-905	35	47	.	.	PUNCT
alkej-905	36	1	salman	salman	PROPN
alkej-905	36	2	studied	study	VERB
alkej-905	36	3	the	the	DET
alkej-905	36	4	effects	effect	NOUN
alkej-905	36	5	of	of	ADP
alkej-905	36	6	laser	laser	NOUN
alkej-905	36	7	strikes	strike	NOUN
alkej-905	36	8	on	on	ADP
alkej-905	36	9	the	the	DET
alkej-905	36	10	formation	formation	NOUN
alkej-905	36	11	of	of	ADP
alkej-905	36	12	cracks	crack	NOUN
alkej-905	36	13	in	in	ADP
alkej-905	36	14	metals	metal	NOUN
alkej-905	36	15	using	use	VERB
alkej-905	36	16	a	a	DET
alkej-905	36	17	wide	wide	ADJ
alkej-905	36	18	range	range	NOUN
alkej-905	36	19	of	of	ADP
alkej-905	36	20	aluminium	aluminium	NOUN
alkej-905	36	21	alloys	alloy	NOUN
alkej-905	36	22	(	(	PUNCT
alkej-905	36	23	7049	7049	NUM
alkej-905	36	24	,	,	PUNCT
alkej-905	36	25	7050	7050	NUM
alkej-905	36	26	,	,	PUNCT
alkej-905	36	27	2024	2024	NUM
alkej-905	36	28	,	,	PUNCT
alkej-905	36	29	and	and	CCONJ
alkej-905	36	30	6061	6061	NUM
alkej-905	36	31	)	)	PUNCT
alkej-905	36	32	with	with	ADP
alkej-905	36	33	thicknesses	thickness	NOUN
alkej-905	36	34	of	of	ADP
alkej-905	36	35	1	1	NUM
alkej-905	36	36	mm	mm	NOUN
alkej-905	36	37	and	and	CCONJ
alkej-905	36	38	2	2	NUM
alkej-905	36	39	mm	mm	NOUN
alkej-905	36	40	.	.	PUNCT
alkej-905	37	1	the	the	DET
alkej-905	37	2	study	study	NOUN
alkej-905	37	3	used	use	VERB
alkej-905	37	4	a	a	DET
alkej-905	37	5	laser	laser	NOUN
alkej-905	37	6	cutting	cut	VERB
alkej-905	37	7	machine	machine	NOUN
alkej-905	37	8	to	to	PART
alkej-905	37	9	create	create	VERB
alkej-905	37	10	a	a	DET
alkej-905	37	11	central	central	ADJ
alkej-905	37	12	crack	crack	NOUN
alkej-905	37	13	,	,	PUNCT
alkej-905	37	14	and	and	CCONJ
alkej-905	37	15	a	a	DET
alkej-905	37	16	neodymium	neodymium	NOUN
alkej-905	37	17	-	-	PUNCT
alkej-905	37	18	doped	dope	VERB
alkej-905	37	19	yttrium	yttrium	NOUN
alkej-905	37	20	aluminum	aluminum	NOUN
alkej-905	37	21	garnet	garnet	NOUN
alkej-905	37	22	laser	laser	NOUN
alkej-905	37	23	to	to	PART
alkej-905	37	24	harden	harden	VERB
alkej-905	37	25	the	the	DET
alkej-905	37	26	area	area	NOUN
alkej-905	37	27	around	around	ADP
alkej-905	37	28	the	the	DET
alkej-905	37	29	crack	crack	NOUN
alkej-905	37	30	[	[	X
alkej-905	37	31	10	10	NUM
alkej-905	37	32	]	]	PUNCT
alkej-905	37	33	.	.	PUNCT
alkej-905	38	1	wang	wang	PROPN
alkej-905	38	2	et	et	PROPN
alkej-905	38	3	al	al	PROPN
alkej-905	38	4	.	.	PROPN
alkej-905	38	5	investigated	investigate	VERB
alkej-905	38	6	the	the	DET
alkej-905	38	7	dynamic	dynamic	ADJ
alkej-905	38	8	crack	crack	NOUN
alkej-905	38	9	growth	growth	NOUN
alkej-905	38	10	on	on	ADP
alkej-905	38	11	glass	glass	NOUN
alkej-905	38	12	samples	sample	NOUN
alkej-905	38	13	filled	fill	VERB
alkej-905	38	14	with	with	ADP
alkej-905	38	15	epoxy	epoxy	NOUN
alkej-905	38	16	with	with	ADP
alkej-905	38	17	varied	varied	ADJ
alkej-905	38	18	lengths	length	NOUN
alkej-905	38	19	of	of	ADP
alkej-905	38	20	cracks	crack	NOUN
alkej-905	38	21	,	,	PUNCT
alkej-905	38	22	and	and	CCONJ
alkej-905	38	23	the	the	DET
alkej-905	38	24	spreading	spread	VERB
alkej-905	38	25	rate	rate	NOUN
alkej-905	38	26	and	and	CCONJ
alkej-905	38	27	effect	effect	NOUN
alkej-905	38	28	of	of	ADP
alkej-905	38	29	these	these	DET
alkej-905	38	30	lengths	length	NOUN
alkej-905	38	31	on	on	ADP
alkej-905	38	32	enhancing	enhance	VERB
alkej-905	38	33	the	the	DET
alkej-905	38	34	spreading	spread	VERB
alkej-905	38	35	rate	rate	NOUN
alkej-905	38	36	in	in	ADP
alkej-905	38	37	the	the	DET
alkej-905	38	38	mixed	mixed	ADJ
alkej-905	38	39	mode	mode	NOUN
alkej-905	38	40	of	of	ADP
alkej-905	38	41	loading	loading	NOUN
alkej-905	38	42	[	[	PUNCT
alkej-905	38	43	11	11	NUM
alkej-905	38	44	]	]	PUNCT
alkej-905	38	45	.	.	PUNCT
alkej-905	39	1	two	two	NUM
alkej-905	39	2	types	type	NOUN
alkej-905	39	3	of	of	ADP
alkej-905	39	4	methods	method	NOUN
alkej-905	39	5	are	be	AUX
alkej-905	39	6	generally	generally	ADV
alkej-905	39	7	used	use	VERB
alkej-905	39	8	in	in	ADP
alkej-905	39	9	treating	treat	VERB
alkej-905	39	10	the	the	DET
alkej-905	39	11	occurrence	occurrence	NOUN
alkej-905	39	12	of	of	ADP
alkej-905	39	13	cracks	crack	NOUN
alkej-905	39	14	in	in	ADP
alkej-905	39	15	the	the	DET
alkej-905	39	16	mechanical	mechanical	ADJ
alkej-905	39	17	structure	structure	NOUN
alkej-905	39	18	.	.	PUNCT
alkej-905	40	1	the	the	DET
alkej-905	40	2	first	first	ADJ
alkej-905	40	3	type	type	NOUN
alkej-905	40	4	of	of	ADP
alkej-905	40	5	method	method	NOUN
alkej-905	40	6	is	be	AUX
alkej-905	40	7	treatment	treatment	NOUN
alkej-905	40	8	methods	method	NOUN
alkej-905	40	9	.	.	PUNCT
alkej-905	41	1	such	such	ADJ
alkej-905	41	2	as	as	ADP
alkej-905	41	3	welding	welding	NOUN
alkej-905	41	4	,	,	PUNCT
alkej-905	41	5	heat	heat	NOUN
alkej-905	41	6	treatment	treatment	NOUN
alkej-905	41	7	,	,	PUNCT
alkej-905	41	8	etc	etc	X
alkej-905	41	9	.	.	X
alkej-905	41	10	,	,	PUNCT
alkej-905	41	11	which	which	PRON
alkej-905	41	12	may	may	AUX
alkej-905	41	13	not	not	PART
alkej-905	41	14	be	be	AUX
alkej-905	41	15	effective	effective	ADJ
alkej-905	41	16	in	in	ADP
alkej-905	41	17	preventing	prevent	VERB
alkej-905	41	18	the	the	DET
alkej-905	41	19	growth	growth	NOUN
alkej-905	41	20	of	of	ADP
alkej-905	41	21	the	the	DET
alkej-905	41	22	crack	crack	NOUN
alkej-905	41	23	or	or	CCONJ
alkej-905	41	24	may	may	AUX
alkej-905	41	25	be	be	AUX
alkej-905	41	26	expensive	expensive	ADJ
alkej-905	41	27	.	.	PUNCT
alkej-905	42	1	the	the	DET
alkej-905	42	2	second	second	ADJ
alkej-905	42	3	type	type	NOUN
alkej-905	42	4	of	of	ADP
alkej-905	42	5	method	method	NOUN
alkej-905	42	6	lies	lie	VERB
alkej-905	42	7	in	in	ADP
alkej-905	42	8	predicting	predict	VERB
alkej-905	42	9	the	the	DET
alkej-905	42	10	rate	rate	NOUN
alkej-905	42	11	of	of	ADP
alkej-905	42	12	propagation	propagation	NOUN
alkej-905	42	13	speed	speed	NOUN
alkej-905	42	14	in	in	ADP
alkej-905	42	15	the	the	DET
alkej-905	42	16	material	material	NOUN
alkej-905	42	17	,	,	PUNCT
alkej-905	42	18	which	which	PRON
alkej-905	42	19	is	be	AUX
alkej-905	42	20	possible	possible	ADJ
alkej-905	42	21	by	by	ADP
alkej-905	42	22	studying	study	VERB
alkej-905	42	23	the	the	DET
alkej-905	42	24	rates	rate	NOUN
alkej-905	42	25	of	of	ADP
alkej-905	42	26	the	the	DET
alkej-905	42	27	possibility	possibility	NOUN
alkej-905	42	28	of	of	ADP
alkej-905	42	29	failure	failure	NOUN
alkej-905	42	30	occurring	occur	VERB
alkej-905	42	31	in	in	ADP
alkej-905	42	32	the	the	DET
alkej-905	42	33	material	material	NOUN
alkej-905	42	34	.	.	PUNCT
alkej-905	43	1	this	this	PRON
alkej-905	43	2	is	be	AUX
alkej-905	43	3	the	the	DET
alkej-905	43	4	subject	subject	NOUN
alkej-905	43	5	of	of	ADP
alkej-905	43	6	study	study	NOUN
alkej-905	43	7	in	in	ADP
alkej-905	43	8	this	this	DET
alkej-905	43	9	research	research	NOUN
alkej-905	43	10	,	,	PUNCT
alkej-905	43	11	which	which	PRON
alkej-905	43	12	deals	deal	VERB
alkej-905	43	13	with	with	ADP
alkej-905	43	14	two	two	NUM
alkej-905	43	15	different	different	ADJ
alkej-905	43	16	types	type	NOUN
alkej-905	43	17	of	of	ADP
alkej-905	43	18	aluminium	aluminium	NOUN
alkej-905	43	19	alloys	alloy	NOUN
alkej-905	43	20	[	[	X
alkej-905	43	21	12	12	NUM
alkej-905	43	22	]	]	PUNCT
alkej-905	43	23	selected	select	VERB
alkej-905	43	24	for	for	ADP
alkej-905	43	25	the	the	DET
alkej-905	43	26	purpose	purpose	NOUN
alkej-905	43	27	of	of	ADP
alkej-905	43	28	conducting	conduct	VERB
alkej-905	43	29	fracture	fracture	NOUN
alkej-905	43	30	and	and	CCONJ
alkej-905	43	31	crack	crack	VERB
alkej-905	43	32	growth	growth	NOUN
alkej-905	43	33	tests	test	NOUN
alkej-905	43	34	.	.	PUNCT
alkej-905	44	1	these	these	DET
alkej-905	44	2	aluminium	aluminium	NOUN
alkej-905	44	3	alloys	alloy	NOUN
alkej-905	44	4	can	can	AUX
alkej-905	44	5	be	be	AUX
alkej-905	44	6	specified	specify	VERB
alkej-905	44	7	under	under	ADP
alkej-905	44	8	uni	uni	PROPN
alkej-905	44	9	standard	standard	NOUN
alkej-905	44	10	5052	5052	NUM
alkej-905	44	11	and	and	CCONJ
alkej-905	44	12	6061	6061	NUM
alkej-905	44	13	[	[	X
alkej-905	44	14	13	13	NUM
alkej-905	44	15	]	]	PUNCT
alkej-905	44	16	based	base	VERB
alkej-905	44	17	on	on	ADP
alkej-905	44	18	hardening	harden	VERB
alkej-905	44	19	vickers	vicker	NOUN
alkej-905	44	20	tests	test	NOUN
alkej-905	44	21	[	[	X
alkej-905	44	22	14	14	NUM
alkej-905	44	23	]	]	PUNCT
alkej-905	44	24	and	and	CCONJ
alkej-905	44	25	chemical	chemical	NOUN
alkej-905	44	26	composition	composition	NOUN
alkej-905	44	27	analysis	analysis	NOUN
alkej-905	44	28	[	[	X
alkej-905	44	29	15	15	NUM
alkej-905	44	30	]	]	PUNCT
alkej-905	44	31	.	.	PUNCT
alkej-905	45	1	the	the	DET
alkej-905	45	2	tests	test	NOUN
alkej-905	45	3	were	be	AUX
alkej-905	45	4	conducted	conduct	VERB
alkej-905	45	5	to	to	PART
alkej-905	45	6	determine	determine	VERB
alkej-905	45	7	the	the	DET
alkej-905	45	8	type	type	NOUN
alkej-905	45	9	of	of	ADP
alkej-905	45	10	specification	specification	NOUN
alkej-905	45	11	within	within	ADP
alkej-905	45	12	the	the	DET
alkej-905	45	13	temperature	temperature	NOUN
alkej-905	45	14	range	range	NOUN
alkej-905	45	15	of	of	ADP
alkej-905	45	16	27	27	NUM
alkej-905	45	17	°	°	NOUN
alkej-905	45	18	c	c	NOUN
alkej-905	45	19	and	and	CCONJ
alkej-905	45	20	humidity	humidity	NOUN
alkej-905	45	21	of	of	ADP
alkej-905	45	22	20	20	NUM
alkej-905	45	23	%	%	NOUN
alkej-905	45	24	.	.	PUNCT
alkej-905	46	1	the	the	DET
alkej-905	46	2	main	main	ADJ
alkej-905	46	3	objectives	objective	NOUN
alkej-905	46	4	of	of	ADP
alkej-905	46	5	this	this	DET
alkej-905	46	6	research	research	NOUN
alkej-905	46	7	are	be	AUX
alkej-905	46	8	as	as	SCONJ
alkej-905	46	9	follows	follow	VERB
alkej-905	46	10	:	:	PUNCT
alkej-905	46	11			PRON
alkej-905	46	12	study	study	VERB
alkej-905	46	13	the	the	DET
alkej-905	46	14	crack	crack	NOUN
alkej-905	46	15	growth	growth	NOUN
alkej-905	46	16	rate	rate	NOUN
alkej-905	46	17	and	and	CCONJ
alkej-905	46	18	predict	predict	VERB
alkej-905	46	19	the	the	DET
alkej-905	46	20	instability	instability	NOUN
alkej-905	46	21	stage	stage	NOUN
alkej-905	46	22	entering	enter	VERB
alkej-905	46	23	to	to	PART
alkej-905	46	24	avoid	avoid	VERB
alkej-905	46	25	failure	failure	NOUN
alkej-905	46	26	in	in	ADP
alkej-905	46	27	the	the	DET
alkej-905	46	28	material	material	NOUN
alkej-905	46	29	.	.	PUNCT
alkej-905	47	1			NOUN
alkej-905	47	2	design	design	VERB
alkej-905	47	3	an	an	DET
alkej-905	47	4	apparatus	apparatus	NOUN
alkej-905	47	5	that	that	PRON
alkej-905	47	6	applies	apply	VERB
alkej-905	47	7	combined	combined	ADJ
alkej-905	47	8	fatigue	fatigue	NOUN
alkej-905	47	9	loads	load	NOUN
alkej-905	47	10	to	to	ADP
alkej-905	47	11	specimens	specimen	NOUN
alkej-905	47	12	by	by	ADP
alkej-905	47	13	applying	apply	VERB
alkej-905	47	14	a	a	DET
alkej-905	47	15	constant	constant	ADJ
alkej-905	47	16	tensile	tensile	NOUN
alkej-905	47	17	load	load	NOUN
alkej-905	47	18	and	and	CCONJ
alkej-905	47	19	cyclic	cyclic	ADJ
alkej-905	47	20	shear	shear	NOUN
alkej-905	47	21	loads	load	NOUN
alkej-905	47	22	.	.	PUNCT
alkej-905	48	1			PRON
alkej-905	48	2	identify	identify	VERB
alkej-905	48	3	the	the	DET
alkej-905	48	4	crack	crack	NOUN
alkej-905	48	5	initiation	initiation	NOUN
alkej-905	48	6	and	and	CCONJ
alkej-905	48	7	propagation	propagation	NOUN
alkej-905	48	8	rates	rate	NOUN
alkej-905	48	9	for	for	ADP
alkej-905	48	10	two	two	NUM
alkej-905	48	11	types	type	NOUN
alkej-905	48	12	of	of	ADP
alkej-905	48	13	aluminium	aluminium	NOUN
alkej-905	48	14	alloys	alloy	NOUN
alkej-905	48	15	and	and	CCONJ
alkej-905	48	16	comparing	compare	VERB
alkej-905	48	17	their	their	PRON
alkej-905	48	18	results	result	NOUN
alkej-905	48	19	and	and	CCONJ
alkej-905	48	20	behaviours	behaviour	NOUN
alkej-905	48	21	.	.	PUNCT
alkej-905	49	1			PRON
alkej-905	49	2	derive	derive	VERB
alkej-905	49	3	an	an	DET
alkej-905	49	4	equation	equation	NOUN
alkej-905	49	5	for	for	ADP
alkej-905	49	6	finding	find	VERB
alkej-905	49	7	the	the	DET
alkej-905	49	8	crack	crack	NOUN
alkej-905	49	9	growth	growth	NOUN
alkej-905	49	10	rate	rate	NOUN
alkej-905	49	11	using	use	VERB
alkej-905	49	12	the	the	DET
alkej-905	49	13	griffith	griffith	PROPN
alkej-905	49	14	energy	energy	NOUN
alkej-905	49	15	balancing	balancing	NOUN
alkej-905	49	16	method	method	NOUN
alkej-905	49	17	and	and	CCONJ
alkej-905	49	18	verify	verify	VERB
alkej-905	49	19	the	the	DET
alkej-905	49	20	experimental	experimental	ADJ
alkej-905	49	21	result	result	NOUN
alkej-905	49	22	.	.	PUNCT
alkej-905	50	1	2	2	X
alkej-905	50	2	.	.	X
alkej-905	50	3	methods	method	NOUN
alkej-905	50	4	2.1	2.1	NUM
alkej-905	50	5	theoretical	theoretical	ADJ
alkej-905	50	6	analysis	analysis	NOUN
alkej-905	50	7	when	when	SCONJ
alkej-905	50	8	studying	study	VERB
alkej-905	50	9	a	a	DET
alkej-905	50	10	thin	thin	ADJ
alkej-905	50	11	plate	plate	NOUN
alkej-905	50	12	that	that	PRON
alkej-905	50	13	is	be	AUX
alkej-905	50	14	subjected	subject	VERB
alkej-905	50	15	to	to	ADP
alkej-905	50	16	two	two	NUM
alkej-905	50	17	different	different	ADJ
alkej-905	50	18	kinds	kind	NOUN
alkej-905	50	19	of	of	ADP
alkej-905	50	20	loads	load	NOUN
alkej-905	50	21	,	,	PUNCT
alkej-905	50	22	such	such	ADJ
alkej-905	50	23	as	as	ADP
alkej-905	50	24	in	in	ADP
alkej-905	50	25	-	-	PUNCT
alkej-905	50	26	plane	plane	NOUN
alkej-905	50	27	,	,	PUNCT
alkej-905	50	28	constant	constant	ADJ
alkej-905	50	29	tensile	tensile	NOUN
alkej-905	50	30	load	load	NOUN
alkej-905	50	31	,	,	PUNCT
alkej-905	50	32	and	and	CCONJ
alkej-905	50	33	on	on	ADP
alkej-905	50	34	the	the	DET
alkej-905	50	35	other	other	ADJ
alkej-905	50	36	axis	axis	NOUN
alkej-905	50	37	of	of	ADP
alkej-905	50	38	cycling	cycling	NOUN
alkej-905	50	39	shear	shear	NOUN
alkej-905	50	40	loading	loading	NOUN
alkej-905	50	41	,	,	PUNCT
alkej-905	50	42	in	in	ADP
alkej-905	50	43	the	the	DET
alkej-905	50	44	theoretical	theoretical	ADJ
alkej-905	50	45	calculations	calculation	NOUN
alkej-905	50	46	,	,	PUNCT
alkej-905	50	47	the	the	DET
alkej-905	50	48	material	material	NOUN
alkej-905	50	49	is	be	AUX
alkej-905	50	50	assumed	assume	VERB
alkej-905	50	51	to	to	PART
alkej-905	50	52	be	be	AUX
alkej-905	50	53	linearly	linearly	ADV
alkej-905	50	54	elastic	elastic	ADJ
alkej-905	50	55	calculation	calculation	NOUN
alkej-905	50	56	,	,	PUNCT
alkej-905	50	57	follows	follow	VERB
alkej-905	50	58	hooke	hooke	PROPN
alkej-905	50	59	’s	’s	PART
alkej-905	50	60	law	law	NOUN
alkej-905	50	61	,	,	PUNCT
alkej-905	50	62	is	be	AUX
alkej-905	50	63	isotropic	isotropic	ADJ
alkej-905	50	64	and	and	CCONJ
alkej-905	50	65	homogeneous	homogeneous	ADJ
alkej-905	50	66	.	.	PUNCT
alkej-905	51	1	it	it	PRON
alkej-905	51	2	is	be	AUX
alkej-905	51	3	very	very	ADV
alkej-905	51	4	important	important	ADJ
alkej-905	51	5	to	to	PART
alkej-905	51	6	derive	derive	VERB
alkej-905	51	7	an	an	DET
alkej-905	51	8	analytical	analytical	ADJ
alkej-905	51	9	model	model	NOUN
alkej-905	51	10	that	that	PRON
alkej-905	51	11	can	can	AUX
alkej-905	51	12	predict	predict	VERB
alkej-905	51	13	the	the	DET
alkej-905	51	14	occurrence	occurrence	NOUN
alkej-905	51	15	of	of	ADP
alkej-905	51	16	cracks	crack	NOUN
alkej-905	51	17	and	and	CCONJ
alkej-905	51	18	their	their	PRON
alkej-905	51	19	propagation	propagation	NOUN
alkej-905	51	20	over	over	ADP
alkej-905	51	21	a	a	DET
alkej-905	51	22	number	number	NOUN
alkej-905	51	23	of	of	ADP
alkej-905	51	24	cycles	cycle	NOUN
alkej-905	51	25	.	.	PUNCT
alkej-905	52	1	the	the	DET
alkej-905	52	2	crack	crack	NOUN
alkej-905	52	3	growth	growth	NOUN
alkej-905	52	4	rate	rate	NOUN
alkej-905	52	5	for	for	ADP
alkej-905	52	6	the	the	DET
alkej-905	52	7	mixed	mixed	ADJ
alkej-905	52	8	mode	mode	NOUN
alkej-905	52	9	i	i	PRON
alkej-905	52	10	/	/	SYM
alkej-905	52	11	ii	ii	PROPN
alkej-905	52	12	was	be	AUX
alkej-905	52	13	extracted	extract	VERB
alkej-905	52	14	using	use	VERB
alkej-905	52	15	equations	equation	NOUN
alkej-905	52	16	,	,	PUNCT
alkej-905	52	17	and	and	CCONJ
alkej-905	52	18	an	an	DET
alkej-905	52	19	equation	equation	NOUN
alkej-905	52	20	was	be	AUX
alkej-905	52	21	derived	derive	VERB
alkej-905	52	22	using	use	VERB
alkej-905	52	23	the	the	DET
alkej-905	52	24	griffith	griffith	PROPN
alkej-905	52	25	energies	energy	NOUN
alkej-905	52	26	balancing	balance	VERB
alkej-905	52	27	equation	equation	NOUN
alkej-905	52	28	for	for	ADP
alkej-905	52	29	dynamic	dynamic	ADJ
alkej-905	52	30	crack	crack	NOUN
alkej-905	52	31	growth	growth	NOUN
alkej-905	52	32	.	.	PUNCT
alkej-905	53	1	the	the	DET
alkej-905	53	2	principle	principle	NOUN
alkej-905	53	3	behind	behind	ADP
alkej-905	53	4	this	this	DET
alkej-905	53	5	equation	equation	NOUN
alkej-905	53	6	is	be	AUX
alkej-905	53	7	that	that	SCONJ
alkej-905	53	8	the	the	DET
alkej-905	53	9	ratio	ratio	NOUN
alkej-905	53	10	of	of	ADP
alkej-905	53	11	the	the	DET
alkej-905	53	12	perpendicular	perpendicular	ADJ
alkej-905	53	13	displacement	displacement	NOUN
alkej-905	53	14	to	to	ADP
alkej-905	53	15	the	the	DET
alkej-905	53	16	direction	direction	NOUN
alkej-905	53	17	of	of	ADP
alkej-905	53	18	stress	stress	NOUN
alkej-905	53	19	for	for	ADP
alkej-905	53	20	both	both	DET
alkej-905	53	21	axes	axis	NOUN
alkej-905	53	22	at	at	ADP
alkej-905	53	23	the	the	DET
alkej-905	53	24	mixed	mixed	ADJ
alkej-905	53	25	mode	mode	NOUN
alkej-905	53	26	i	i	PROPN
alkej-905	53	27	/	/	SYM
alkej-905	53	28	ii	ii	PROPN
alkej-905	53	29	loading	loading	NOUN
alkej-905	53	30	inplane	inplane	NOUN
alkej-905	53	31	is	be	AUX
alkej-905	53	32	extracted	extract	VERB
alkej-905	53	33	and	and	CCONJ
alkej-905	53	34	the	the	DET
alkej-905	53	35	energy	energy	NOUN
alkej-905	53	36	result	result	NOUN
alkej-905	53	37	used	use	VERB
alkej-905	53	38	to	to	PART
alkej-905	53	39	drive	drive	VERB
alkej-905	53	40	the	the	DET
alkej-905	53	41	crack	crack	NOUN
alkej-905	53	42	growth	growth	NOUN
alkej-905	53	43	equation	equation	NOUN
alkej-905	53	44	.	.	PUNCT
alkej-905	54	1	2.1.1	2.1.1	NUM
alkej-905	54	2	analytical	analytical	ADJ
alkej-905	54	3	model	model	NOUN
alkej-905	54	4	of	of	ADP
alkej-905	54	5	displacement	displacement	NOUN
alkej-905	54	6	the	the	DET
alkej-905	54	7	westergaard	westergaard	NOUN
alkej-905	54	8	stress	stress	NOUN
alkej-905	54	9	function	function	NOUN
alkej-905	54	10	is	be	AUX
alkej-905	54	11	used	use	VERB
alkej-905	54	12	to	to	PART
alkej-905	54	13	analyse	analyse	VERB
alkej-905	54	14	crack	crack	VERB
alkej-905	54	15	propagation	propagation	NOUN
alkej-905	54	16	in	in	ADP
alkej-905	54	17	mixed	mixed	ADJ
alkej-905	54	18	mode	mode	NOUN
alkej-905	55	1	[	[	X
alkej-905	55	2	16	16	NUM
alkej-905	55	3	]	]	PUNCT
alkej-905	55	4	.	.	PUNCT
alkej-905	55	5	𝛟z(i+ii	𝛟z(i+ii	PUNCT
alkej-905	55	6	)	)	PUNCT
alkej-905	55	7	=	=	SYM
alkej-905	55	8	𝜎	𝜎	PROPN
alkej-905	55	9	.𝑍	.𝑍	X
alkej-905	55	10	√𝑍2−𝑎2	√𝑍2−𝑎2	ADJ
alkej-905	55	11	…	…	PUNCT
alkej-905	55	12	(	(	PUNCT
alkej-905	55	13	2	2	NUM
alkej-905	55	14	)	)	PUNCT
alkej-905	55	15	the	the	DET
alkej-905	55	16	following	follow	VERB
alkej-905	55	17	relationships	relationship	NOUN
alkej-905	55	18	can	can	AUX
alkej-905	55	19	be	be	AUX
alkej-905	55	20	derived	derive	VERB
alkej-905	55	21	from	from	ADP
alkej-905	55	22	equation	equation	NOUN
alkej-905	55	23	(	(	PUNCT
alkej-905	55	24	1	1	NUM
alkej-905	55	25	):	):	PUNCT
alkej-905	55	26	z	z	X
alkej-905	55	27	=	=	SYM
alkej-905	55	28	r.	r.	PROPN
alkej-905	55	29	e	e	PROPN
alkej-905	55	30	i𝛉	i𝛉	X
alkej-905	55	31	…	…	PUNCT
alkej-905	55	32	(	(	PUNCT
alkej-905	55	33	3	3	NUM
alkej-905	55	34	)	)	PUNCT
alkej-905	55	35	z	z	NOUN
alkej-905	55	36	-	-	PUNCT
alkej-905	55	37	a	a	DET
alkej-905	55	38	=	=	PROPN
alkej-905	55	39	r1	r1	PROPN
alkej-905	55	40	.e	.e	PROPN
alkej-905	56	1	i𝛉1	i𝛉1	NOUN
alkej-905	56	2	...	...	PUNCT
alkej-905	56	3	(	(	PUNCT
alkej-905	56	4	4	4	X
alkej-905	56	5	)	)	PUNCT
alkej-905	56	6	israa	israa	NOUN
alkej-905	56	7	abed	abe	VERB
alkej-905	56	8	alrazak	alrazak	PROPN
alkej-905	56	9	al	al	PROPN
alkej-905	56	10	-	-	PUNCT
alkej-905	56	11	khwarizmi	khwarizmi	PROPN
alkej-905	56	12	engineering	engineering	NOUN
alkej-905	56	13	journal	journal	PROPN
alkej-905	56	14	,	,	PUNCT
alkej-905	56	15	vol	vol	NOUN
alkej-905	56	16	.	.	PROPN
alkej-905	56	17	20	20	NUM
alkej-905	56	18	,	,	PUNCT
alkej-905	56	19	no.4	no.4	PROPN
alkej-905	56	20	,	,	PUNCT
alkej-905	56	21	p.p	p.p	PROPN
alkej-905	56	22	.	.	PROPN
alkej-905	56	23	58–69(2024	58–69(2024	PROPN
alkej-905	56	24	)	)	PUNCT
alkej-905	56	25	60	60	NUM
alkej-905	56	26	fig	fig	NOUN
alkej-905	56	27	.	.	PUNCT
alkej-905	57	1	1	1	X
alkej-905	57	2	.	.	X
alkej-905	57	3	standing	stand	VERB
alkej-905	57	4	theory	theory	NOUN
alkej-905	57	5	of	of	ADP
alkej-905	57	6	cracks	crack	NOUN
alkej-905	57	7	.	.	PUNCT
alkej-905	58	1	the	the	DET
alkej-905	58	2	westergaard	westergaard	ADJ
alkej-905	58	3	equation	equation	NOUN
alkej-905	58	4	based	base	VERB
alkej-905	58	5	on	on	ADP
alkej-905	58	6	[	[	X
alkej-905	58	7	17	17	NUM
alkej-905	58	8	]	]	PUNCT
alkej-905	58	9	is	be	AUX
alkej-905	58	10	used	use	VERB
alkej-905	58	11	to	to	PART
alkej-905	58	12	solve	solve	VERB
alkej-905	58	13	the	the	DET
alkej-905	58	14	complex	complex	ADJ
alkej-905	58	15	number	number	NOUN
alkej-905	58	16	using	use	VERB
alkej-905	58	17	the	the	DET
alkej-905	58	18	airy	airy	ADJ
alkej-905	58	19	stress	stress	NOUN
alkej-905	58	20	function	function	NOUN
alkej-905	58	21	.	.	PUNCT
alkej-905	59	1	z	z	X
alkej-905	60	1	+	+	CCONJ
alkej-905	60	2	a	a	DET
alkej-905	60	3	=	=	ADJ
alkej-905	60	4	r2	r2	NOUN
alkej-905	60	5	.	.	PUNCT
alkej-905	61	1	e	e	X
alkej-905	61	2	i𝛉2	i𝛉2	VERB
alkej-905	61	3	…	…	PUNCT
alkej-905	61	4	(	(	PUNCT
alkej-905	61	5	5	5	NUM
alkej-905	61	6	)	)	PUNCT
alkej-905	61	7	where	where	SCONJ
alkej-905	61	8	z	z	NOUN
alkej-905	61	9	is	be	AUX
alkej-905	61	10	a	a	DET
alkej-905	61	11	complex	complex	ADJ
alkej-905	61	12	function	function	NOUN
alkej-905	61	13	with	with	ADP
alkej-905	61	14	the	the	DET
alkej-905	61	15	variable	variable	ADJ
alkej-905	61	16	position	position	NOUN
alkej-905	61	17	located	locate	VERB
alkej-905	61	18	on	on	ADP
alkej-905	61	19	the	the	DET
alkej-905	61	20	plate	plate	NOUN
alkej-905	61	21	found	find	VERB
alkej-905	61	22	relative	relative	ADJ
alkej-905	61	23	to	to	ADP
alkej-905	61	24	the	the	DET
alkej-905	61	25	points	point	NOUN
alkej-905	61	26	on	on	ADP
alkej-905	61	27	cracks	crack	NOUN
alkej-905	61	28	a	a	DET
alkej-905	61	29	,	,	PUNCT
alkej-905	61	30	b	b	NOUN
alkej-905	61	31	and	and	CCONJ
alkej-905	61	32	c	c	X
alkej-905	62	1	[	[	X
alkej-905	62	2	17	17	NUM
alkej-905	62	3	]	]	PUNCT
alkej-905	62	4	.	.	PUNCT
alkej-905	63	1	for	for	ADP
alkej-905	63	2	plain	plain	ADJ
alkej-905	63	3	strain	strain	NOUN
alkej-905	63	4	:	:	PUNCT
alkej-905	63	5	v	v	X
alkej-905	63	6	=	=	SYM
alkej-905	63	7	2σeff	2σeff	NUM
alkej-905	63	8	e	e	NOUN
alkej-905	63	9	(	(	PUNCT
alkej-905	63	10	1	1	NUM
alkej-905	63	11	−	−	NOUN
alkej-905	63	12	υ2	υ2	NOUN
alkej-905	63	13	)	)	PUNCT
alkej-905	63	14	.	.	PUNCT
alkej-905	64	1	√a2	√a2	PROPN
alkej-905	65	1	−	−	NOUN
alkej-905	65	2	x2	x2	PROPN
alkej-905	65	3	.	.	PUNCT
alkej-905	66	1	for	for	ADP
alkej-905	66	2	plain	plain	ADJ
alkej-905	66	3	stress	stress	NOUN
alkej-905	66	4	:	:	PUNCT
alkej-905	66	5	v	v	X
alkej-905	66	6	=	=	SYM
alkej-905	66	7	2σeff	2σeff	PROPN
alkej-905	66	8	e′	e′	NOUN
alkej-905	66	9	.	.	PUNCT
alkej-905	67	1	√a2	√a2	PROPN
alkej-905	68	1	−	−	NOUN
alkej-905	68	2	x2	x2	NOUN
alkej-905	68	3	…	…	PUNCT
alkej-905	68	4	(	(	PUNCT
alkej-905	68	5	6	6	NUM
alkej-905	68	6	)	)	PUNCT
alkej-905	68	7	where	where	SCONJ
alkej-905	68	8	1	1	NUM
alkej-905	68	9	e′	e′	NOUN
alkej-905	68	10	=	=	X
alkej-905	68	11	(	(	PUNCT
alkej-905	68	12	1−υ2	1−υ2	NUM
alkej-905	68	13	)	)	PUNCT
alkej-905	68	14	e	e	NOUN
alkej-905	68	15	,	,	PUNCT
alkej-905	68	16	assume	assume	VERB
alkej-905	68	17	𝑥	𝑥	X
alkej-905	68	18	=	=	PUNCT
alkej-905	68	19	𝑐𝑎	𝑐𝑎	NOUN
alkej-905	68	20	0	0	PUNCT
alkej-905	68	21	<	<	X
alkej-905	68	22	𝑥	𝑥	X
alkej-905	68	23	<	<	X
alkej-905	68	24	1	1	NUM
alkej-905	68	25	,	,	PUNCT
alkej-905	68	26	let	let	VERB
alkej-905	68	27	𝑐1	𝑐1	NOUN
alkej-905	68	28	=	=	X
alkej-905	68	29	2√1	2√1	NUM
alkej-905	68	30	−	−	NOUN
alkej-905	69	1	𝑐2	𝑐2	NOUN
alkej-905	69	2	,	,	PUNCT
alkej-905	69	3	based	base	VERB
alkej-905	69	4	on	on	ADP
alkej-905	69	5	that	that	PRON
alkej-905	69	6	,	,	PUNCT
alkej-905	69	7	the	the	DET
alkej-905	69	8	displacement	displacement	NOUN
alkej-905	69	9	of	of	ADP
alkej-905	69	10	the	the	DET
alkej-905	69	11	crack	crack	NOUN
alkej-905	69	12	(	(	PUNCT
alkej-905	69	13	v	v	NOUN
alkej-905	69	14	)	)	PUNCT
alkej-905	69	15	for	for	ADP
alkej-905	69	16	the	the	DET
alkej-905	69	17	mixed	mixed	ADJ
alkej-905	69	18	mode	mode	NOUN
alkej-905	69	19	i	i	PROPN
alkej-905	69	20	/	/	SYM
alkej-905	69	21	ii	ii	PROPN
alkej-905	69	22	is	be	AUX
alkej-905	69	23	v	v	NOUN
alkej-905	69	24	=	=	SYM
alkej-905	69	25	c1	c1	PROPN
alkej-905	69	26	e	e	NOUN
alkej-905	69	27	.	.	PUNCT
alkej-905	70	1	σeff	σeff	VERB
alkej-905	70	2	.	.	PUNCT
alkej-905	71	1	a	a	DET
alkej-905	71	2	…	…	PUNCT
alkej-905	71	3	(	(	PUNCT
alkej-905	71	4	7	7	NUM
alkej-905	71	5	)	)	PUNCT
alkej-905	71	6	the	the	DET
alkej-905	71	7	effective	effective	ADJ
alkej-905	71	8	stress	stress	NOUN
alkej-905	71	9	𝛔eff	𝛔eff	PROPN
alkej-905	71	10	for	for	ADP
alkej-905	71	11	mixed	mixed	ADJ
alkej-905	71	12	mode	mode	NOUN
alkej-905	71	13	i	i	PRON
alkej-905	71	14	/	/	SYM
alkej-905	71	15	ii	ii	PROPN
alkej-905	71	16	comes	come	VERB
alkej-905	71	17	from	from	ADP
alkej-905	71	18	the	the	DET
alkej-905	71	19	tensile	tensile	NOUN
alkej-905	71	20	load	load	NOUN
alkej-905	71	21	in	in	ADP
alkej-905	71	22	direction	direction	NOUN
alkej-905	71	23	and	and	CCONJ
alkej-905	71	24	cycling	cycling	NOUN
alkej-905	71	25	shear	shear	NOUN
alkej-905	71	26	load	load	NOUN
alkej-905	71	27	within	within	ADP
alkej-905	71	28	the	the	DET
alkej-905	71	29	elastic	elastic	ADJ
alkej-905	71	30	limit	limit	NOUN
alkej-905	71	31	in	in	ADP
alkej-905	71	32	mpa	mpa	PROPN
alkej-905	72	1	[	[	X
alkej-905	72	2	18	18	NUM
alkej-905	72	3	]	]	X
alkej-905	72	4	,	,	PUNCT
alkej-905	72	5	as	as	SCONJ
alkej-905	72	6	shown	show	VERB
alkej-905	72	7	in	in	ADP
alkej-905	72	8	fig	fig	NOUN
alkej-905	72	9	.	.	PUNCT
alkej-905	73	1	2	2	X
alkej-905	73	2	.	.	X
alkej-905	73	3	σeff	σeff	NOUN
alkej-905	73	4	=	=	SYM
alkej-905	73	5	1	1	NUM
alkej-905	73	6	√2	√2	NOUN
alkej-905	73	7	√	√	NOUN
alkej-905	73	8	[	[	PUNCT
alkej-905	73	9	σ2	σ2	NOUN
alkej-905	73	10	+	+	CCONJ
alkej-905	73	11	(	(	PUNCT
alkej-905	73	12	τo	τo	NOUN
alkej-905	73	13	.	.	PUNCT
alkej-905	73	14	sin	sin	NOUN
alkej-905	73	15	(	(	PUNCT
alkej-905	73	16	w.t	w.t	X
alkej-905	73	17	2	2	NUM
alkej-905	73	18	)	)	PUNCT
alkej-905	73	19	)	)	PUNCT
alkej-905	74	1	2	2	NUM
alkej-905	74	2	]	]	PUNCT
alkej-905	74	3	…	…	PUNCT
alkej-905	74	4	(	(	PUNCT
alkej-905	74	5	8)	8)	NUM
alkej-905	74	6	the	the	DET
alkej-905	74	7	rate	rate	NOUN
alkej-905	74	8	of	of	ADP
alkej-905	74	9	displacement	displacement	NOUN
alkej-905	74	10	(	(	PUNCT
alkej-905	74	11	v̇	v̇	NOUN
alkej-905	74	12	)	)	PUNCT
alkej-905	74	13	is	be	AUX
alkej-905	74	14	determined	determine	VERB
alkej-905	74	15	by	by	ADP
alkej-905	74	16	subtracting	subtract	VERB
alkej-905	74	17	equation	equation	NOUN
alkej-905	74	18	(	(	PUNCT
alkej-905	74	19	8)	8)	NUM
alkej-905	74	20	from	from	ADP
alkej-905	74	21	equation	equation	NOUN
alkej-905	74	22	(	(	PUNCT
alkej-905	74	23	7	7	NUM
alkej-905	74	24	)	)	PUNCT
alkej-905	74	25	and	and	CCONJ
alkej-905	74	26	then	then	ADV
alkej-905	74	27	constructing	construct	VERB
alkej-905	74	28	the	the	DET
alkej-905	74	29	equation	equation	NOUN
alkej-905	74	30	for	for	ADP
alkej-905	74	31	the	the	DET
alkej-905	74	32	stress	stress	NOUN
alkej-905	74	33	and	and	CCONJ
alkej-905	74	34	crack	crack	VERB
alkej-905	74	35	length	length	NOUN
alkej-905	74	36	variables	variable	NOUN
alkej-905	74	37	using	use	VERB
alkej-905	74	38	this	this	DET
alkej-905	74	39	information	information	NOUN
alkej-905	74	40	.	.	PUNCT
alkej-905	75	1	v̇	v̇	NOUN
alkej-905	75	2	=	=	PROPN
alkej-905	75	3	c1	c1	PROPN
alkej-905	75	4	e	e	NOUN
alkej-905	75	5	`	`	PUNCT
alkej-905	75	6	.	.	PUNCT
alkej-905	76	1	[	[	PUNCT
alkej-905	76	2	ao	ao	PROPN
alkej-905	76	3	√2	√2	PROPN
alkej-905	76	4	.	.	PUNCT
alkej-905	77	1	w.	w.	PROPN
alkej-905	77	2	τo	τo	VERB
alkej-905	77	3	2	2	NUM
alkej-905	77	4	.	.	PUNCT
alkej-905	78	1	sin(w	sin(w	PROPN
alkej-905	78	2	.	.	PUNCT
alkej-905	79	1	t	t	PROPN
alkej-905	79	2	)	)	PUNCT
alkej-905	79	3	4	4	NUM
alkej-905	79	4	[	[	PUNCT
alkej-905	79	5	σ2	σ2	NOUN
alkej-905	79	6	+	+	CCONJ
alkej-905	79	7	(	(	PUNCT
alkej-905	79	8	τo	τo	NOUN
alkej-905	79	9	.	.	PUNCT
alkej-905	79	10	sin	sin	NOUN
alkej-905	79	11	(	(	PUNCT
alkej-905	79	12	w.	w.	PROPN
alkej-905	79	13	t	t	PROPN
alkej-905	79	14	2	2	NUM
alkej-905	79	15	)	)	PUNCT
alkej-905	79	16	)	)	PUNCT
alkej-905	80	1	2	2	NUM
alkej-905	80	2	]	]	SYM
alkej-905	80	3	1	1	NUM
alkej-905	80	4	2⁄	2⁄	NUM
alkej-905	80	5	+	+	CCONJ
alkej-905	80	6	1	1	NUM
alkej-905	80	7	√2	√2	PROPN
alkej-905	80	8	.	.	PUNCT
alkej-905	81	1	[	[	PUNCT
alkej-905	81	2	σ2	σ2	NOUN
alkej-905	81	3	+	+	CCONJ
alkej-905	81	4	(	(	PUNCT
alkej-905	81	5	τo	τo	NOUN
alkej-905	81	6	.	.	PUNCT
alkej-905	81	7	sin	sin	NOUN
alkej-905	81	8	(	(	PUNCT
alkej-905	81	9	w.t	w.t	X
alkej-905	81	10	2	2	NUM
alkej-905	81	11	)	)	PUNCT
alkej-905	81	12	)	)	PUNCT
alkej-905	81	13	2	2	NUM
alkej-905	81	14	]	]	SYM
alkej-905	81	15	1	1	NUM
alkej-905	81	16	2⁄	2⁄	NUM
alkej-905	81	17	.	.	PUNCT
alkej-905	82	1	da	da	NOUN
alkej-905	82	2	dt	dt	X
alkej-905	82	3	]	]	PUNCT
alkej-905	82	4	…	…	PUNCT
alkej-905	82	5	(	(	PUNCT
alkej-905	82	6	9	9	NUM
alkej-905	82	7	)	)	PUNCT
alkej-905	82	8	to	to	PART
alkej-905	82	9	determine	determine	VERB
alkej-905	82	10	the	the	DET
alkej-905	82	11	entire	entire	ADJ
alkej-905	82	12	amount	amount	NOUN
alkej-905	82	13	of	of	ADP
alkej-905	82	14	kinetic	kinetic	ADJ
alkej-905	82	15	energy	energy	NOUN
alkej-905	83	1	[	[	X
alkej-905	83	2	19	19	NUM
alkej-905	83	3	]	]	PUNCT
alkej-905	83	4	,	,	PUNCT
alkej-905	83	5	denoted	denote	VERB
alkej-905	83	6	as	as	ADP
alkej-905	83	7	(	(	PUNCT
alkej-905	83	8	t	t	PROPN
alkej-905	83	9	total	total	NOUN
alkej-905	83	10	)	)	PUNCT
alkej-905	83	11	,	,	PUNCT
alkej-905	83	12	fig	fig	NOUN
alkej-905	83	13	.	.	PUNCT
alkej-905	84	1	2	2	X
alkej-905	84	2	.	.	X
alkej-905	84	3	loads	load	NOUN
alkej-905	84	4	on	on	ADP
alkej-905	84	5	the	the	DET
alkej-905	84	6	sample	sample	NOUN
alkej-905	84	7	,	,	PUNCT
alkej-905	84	8	which	which	PRON
alkej-905	84	9	shows	show	VERB
alkej-905	84	10	the	the	DET
alkej-905	84	11	method	method	NOUN
alkej-905	84	12	of	of	ADP
alkej-905	84	13	exposing	expose	VERB
alkej-905	84	14	fatigue	fatigue	NOUN
alkej-905	84	15	loads	load	NOUN
alkej-905	84	16	on	on	ADP
alkej-905	84	17	the	the	DET
alkej-905	84	18	plate	plate	NOUN
alkej-905	84	19	in	in	ADP
alkej-905	84	20	the	the	DET
alkej-905	84	21	device	device	NOUN
alkej-905	84	22	(	(	PUNCT
alkej-905	84	23	constant	constant	ADJ
alkej-905	84	24	tensile	tensile	NOUN
alkej-905	84	25	stress	stress	NOUN
alkej-905	84	26	towards	towards	ADP
alkej-905	84	27	the	the	DET
alkej-905	84	28	y	y	NOUN
alkej-905	84	29	-	-	PUNCT
alkej-905	84	30	axis	axis	NOUN
alkej-905	84	31	and	and	CCONJ
alkej-905	84	32	periodic	periodic	ADJ
alkej-905	84	33	shear	shear	NOUN
alkej-905	84	34	loads	load	NOUN
alkej-905	84	35	by	by	ADP
alkej-905	84	36	pressing	press	VERB
alkej-905	84	37	the	the	DET
alkej-905	84	38	sample	sample	NOUN
alkej-905	84	39	parallel	parallel	NOUN
alkej-905	84	40	to	to	ADP
alkej-905	84	41	the	the	DET
alkej-905	84	42	x	x	NOUN
alkej-905	84	43	-	-	NOUN
alkej-905	84	44	axis	axis	NOUN
alkej-905	84	45	within	within	ADP
alkej-905	84	46	the	the	DET
alkej-905	84	47	elastic	elastic	ADJ
alkej-905	84	48	limit	limit	NOUN
alkej-905	84	49	)	)	PUNCT
alkej-905	84	50	to	to	PART
alkej-905	84	51	obtain	obtain	VERB
alkej-905	84	52	the	the	DET
alkej-905	84	53	type	type	NOUN
alkej-905	84	54	of	of	ADP
alkej-905	84	55	non	non	ADJ
alkej-905	84	56	-	-	ADJ
alkej-905	84	57	proportional	proportional	ADJ
alkej-905	84	58	loads	load	NOUN
alkej-905	84	59	with	with	ADP
alkej-905	84	60	mixed	mixed	ADJ
alkej-905	84	61	mode	mode	NOUN
alkej-905	84	62	.	.	PUNCT
alkej-905	85	1	=	=	NOUN
alkej-905	85	2	1	1	NUM
alkej-905	85	3	2	2	NUM
alkej-905	85	4	.	.	PUNCT
alkej-905	86	1	ρ	ρ	PROPN
alkej-905	86	2	.	.	PUNCT
alkej-905	86	3	area	area	NOUN
alkej-905	86	4	.	.	PUNCT
alkej-905	87	1	v•2	v•2	ADV
alkej-905	87	2	…	…	PUNCT
alkej-905	87	3	(	(	PUNCT
alkej-905	87	4	10	10	NUM
alkej-905	87	5	)	)	PUNCT
alkej-905	87	6	after	after	ADP
alkej-905	87	7	making	make	VERB
alkej-905	87	8	substitutions	substitution	NOUN
alkej-905	87	9	in	in	ADP
alkej-905	87	10	eqs	eqs	PROPN
alkej-905	87	11	.	.	PUNCT
alkej-905	88	1	(	(	PUNCT
alkej-905	88	2	8–10	8–10	NOUN
alkej-905	88	3	)	)	PUNCT
alkej-905	88	4	and	and	CCONJ
alkej-905	88	5	deriving	derive	VERB
alkej-905	88	6	the	the	DET
alkej-905	88	7	displacement	displacement	NOUN
alkej-905	88	8	of	of	ADP
alkej-905	88	9	the	the	DET
alkej-905	88	10	crack	crack	NOUN
alkej-905	88	11	(	(	PUNCT
alkej-905	88	12	v	v	NOUN
alkej-905	88	13	)	)	PUNCT
alkej-905	88	14	and	and	CCONJ
alkej-905	88	15	the	the	DET
alkej-905	88	16	stresses	stress	NOUN
alkej-905	88	17	,	,	PUNCT
alkej-905	88	18	the	the	DET
alkej-905	88	19	total	total	ADJ
alkej-905	88	20	kinetic	kinetic	ADJ
alkej-905	88	21	energy	energy	NOUN
alkej-905	88	22	(	(	PUNCT
alkej-905	88	23	ttotal	ttotal	ADJ
alkej-905	88	24	)	)	PUNCT
alkej-905	88	25	equation	equation	NOUN
alkej-905	88	26	was	be	AUX
alkej-905	88	27	obtained	obtain	VERB
alkej-905	88	28	as	as	ADP
alkej-905	88	29	follows	follow	VERB
alkej-905	88	30	:	:	PUNCT
alkej-905	89	1	𝐓𝐭𝐨𝐭𝐚𝐥	𝐓𝐭𝐨𝐭𝐚𝐥	PROPN
alkej-905	89	2	=	=	PUNCT
alkej-905	90	1	𝛒	𝛒	X
alkej-905	90	2	𝐤𝐚𝐢	𝐤𝐚𝐢	VERB
alkej-905	90	3	𝟐	𝟐	NUM
alkej-905	90	4	𝟐𝐄`𝟐	𝟐𝐄`𝟐	NOUN
alkej-905	91	1	[	[	X
alkej-905	91	2	(	(	PUNCT
alkej-905	91	3	𝛔𝟐	𝛔𝟐	VERB
alkej-905	91	4	+	+	ADP
alkej-905	91	5	𝛕𝟐𝐬𝐢𝐧𝟐	𝛕𝟐𝐬𝐢𝐧𝟐	VERB
alkej-905	91	6	(	(	PUNCT
alkej-905	91	7	𝐰.𝐭	𝐰.𝐭	PROPN
alkej-905	91	8	𝟐	𝟐	NUM
alkej-905	91	9	)	)	PUNCT
alkej-905	91	10	)	)	PUNCT
alkej-905	91	11	.	.	PUNCT
alkej-905	92	1	(	(	PUNCT
alkej-905	92	2	𝐝𝐚	𝐝𝐚	NOUN
alkej-905	92	3	𝐝𝐭	𝐝𝐭	ADP
alkej-905	92	4	)	)	PUNCT
alkej-905	92	5	𝟐	𝟐	PROPN
alkej-905	92	6	+	+	NUM
alkej-905	92	7	𝝉𝟐.	𝝉𝟐.	PRON
alkej-905	92	8	𝐚𝐨	𝐚𝐨	NOUN
alkej-905	92	9	𝐰	𝐰	PROPN
alkej-905	92	10	𝟐	𝟐	NUM
alkej-905	92	11	.	.	PUNCT
alkej-905	93	1	𝐬𝐢𝐧	𝐬𝐢𝐧	ADP
alkej-905	93	2	(	(	PUNCT
alkej-905	93	3	𝐰.𝐭	𝐰.𝐭	PROPN
alkej-905	93	4	𝟐	𝟐	NUM
alkej-905	93	5	)	)	PUNCT
alkej-905	93	6	.	.	PUNCT
alkej-905	94	1	(	(	PUNCT
alkej-905	94	2	𝐝𝐚	𝐝𝐚	NOUN
alkej-905	94	3	𝐝𝐭	𝐝𝐭	ADP
alkej-905	94	4	)	)	PUNCT
alkej-905	95	1	+	+	CCONJ
alkej-905	95	2	𝝉𝒐	𝝉𝒐	INTJ
alkej-905	95	3	𝟐.	𝟐.	PUNCT
alkej-905	95	4	𝒂𝒐	𝒂𝒐	X
alkej-905	95	5	𝟐	𝟐	PROPN
alkej-905	95	6	𝒘𝟐	𝒘𝟐	NOUN
alkej-905	95	7	𝟒	𝟒	NUM
alkej-905	95	8	.	.	PUNCT
alkej-905	96	1	𝒄𝒐𝒔𝟐	𝒄𝒐𝒔𝟐	PROPN
alkej-905	96	2	(	(	PUNCT
alkej-905	96	3	𝒘.𝒕	𝒘.𝒕	PROPN
alkej-905	96	4	𝟐	𝟐	NUM
alkej-905	96	5	)	)	PUNCT
alkej-905	96	6	]	]	PUNCT
alkej-905	96	7	...	...	PUNCT
alkej-905	97	1	(	(	PUNCT
alkej-905	97	2	11	11	NUM
alkej-905	97	3	)	)	PUNCT
alkej-905	97	4	2.1.2	2.1.2	NUM
alkej-905	97	5	.	.	PUNCT
alkej-905	97	6	excess	excess	ADJ
alkej-905	97	7	energy	energy	NOUN
alkej-905	97	8	rate	rate	NOUN
alkej-905	97	9	to	to	PART
alkej-905	97	10	determine	determine	VERB
alkej-905	97	11	the	the	DET
alkej-905	97	12	excess	excess	ADJ
alkej-905	97	13	energy	energy	NOUN
alkej-905	97	14	rate	rate	NOUN
alkej-905	97	15	(	(	PUNCT
alkej-905	97	16	u	u	NOUN
alkej-905	97	17	)	)	PUNCT
alkej-905	97	18	controlled	control	VERB
alkej-905	97	19	by	by	ADP
alkej-905	97	20	the	the	DET
alkej-905	97	21	crack	crack	NOUN
alkej-905	97	22	’s	’s	PART
alkej-905	97	23	extension	extension	NOUN
alkej-905	97	24	at	at	ADP
alkej-905	97	25	the	the	DET
alkej-905	97	26	mixed	mixed	ADJ
alkej-905	97	27	modes	mode	NOUN
alkej-905	97	28	(	(	PUNCT
alkej-905	97	29	i	i	PROPN
alkej-905	97	30	/	/	SYM
alkej-905	97	31	ii	ii	PROPN
alkej-905	97	32	)	)	PUNCT
alkej-905	97	33	in	in	ADP
alkej-905	97	34	the	the	DET
alkej-905	97	35	thin	thin	ADJ
alkej-905	97	36	plate	plate	NOUN
alkej-905	98	1	[	[	X
alkej-905	98	2	17	17	NUM
alkej-905	98	3	]	]	PUNCT
alkej-905	98	4	,	,	PUNCT
alkej-905	99	1	[	[	X
alkej-905	99	2	18	18	NUM
alkej-905	99	3	]	]	PUNCT
alkej-905	99	4	for	for	ADP
alkej-905	99	5	fig	fig	NOUN
alkej-905	99	6	.	.	PUNCT
alkej-905	100	1	3	3	NUM
alkej-905	100	2	,	,	PUNCT
alkej-905	100	3	the	the	DET
alkej-905	100	4	following	follow	VERB
alkej-905	100	5	equation	equation	NOUN
alkej-905	100	6	is	be	AUX
alkej-905	100	7	used	use	VERB
alkej-905	100	8	:	:	PUNCT
alkej-905	100	9	u	u	PROPN
alkej-905	100	10	=	=	PROPN
alkej-905	100	11	∫	∫	PROPN
alkej-905	100	12	(	(	PUNCT
alkej-905	100	13	g	g	NOUN
alkej-905	100	14	−	−	PROPN
alkej-905	100	15	r	r	NOUN
alkej-905	100	16	)	)	PUNCT
alkej-905	100	17	.	.	PUNCT
alkej-905	101	1	da	da	NOUN
alkej-905	102	1	=	=	PUNCT
alkej-905	103	1	−	−	PROPN
alkej-905	103	2	∫	∫	PROPN
alkej-905	103	3	r.	r.	PROPN
alkej-905	103	4	da	da	PROPN
alkej-905	104	1	+	+	CCONJ
alkej-905	104	2	∫	∫	PROPN
alkej-905	104	3	g.	g.	PROPN
alkej-905	104	4	da	da	PROPN
alkej-905	105	1	ai	ai	VERB
alkej-905	105	2	ao	ao	PROPN
alkej-905	105	3	ai	ai	INTJ
alkej-905	105	4	ao	ao	INTJ
alkej-905	105	5	ai	ai	VERB
alkej-905	105	6	ao	ao	PROPN
alkej-905	105	7	…	…	PUNCT
alkej-905	105	8	(	(	PUNCT
alkej-905	105	9	12	12	NUM
alkej-905	105	10	)	)	PUNCT
alkej-905	105	11	the	the	DET
alkej-905	105	12	total	total	ADJ
alkej-905	105	13	excess	excess	ADJ
alkej-905	105	14	energy	energy	NOUN
alkej-905	105	15	(	(	PUNCT
alkej-905	105	16	u	u	NOUN
alkej-905	105	17	)	)	PUNCT
alkej-905	105	18	for	for	ADP
alkej-905	105	19	the	the	DET
alkej-905	105	20	mixed	mixed	ADJ
alkej-905	105	21	modes	mode	NOUN
alkej-905	105	22	i	i	PRON
alkej-905	105	23	/	/	SYM
alkej-905	105	24	ii	ii	PROPN
alkej-905	106	1	[	[	X
alkej-905	106	2	5	5	NUM
alkej-905	106	3	]	]	PUNCT
alkej-905	106	4	,	,	PUNCT
alkej-905	106	5	[	[	X
alkej-905	106	6	20	20	NUM
alkej-905	106	7	]	]	PUNCT
alkej-905	106	8	is	be	AUX
alkej-905	106	9	determined	determine	VERB
alkej-905	106	10	as	as	SCONJ
alkej-905	106	11	follows	follow	VERB
alkej-905	106	12	:	:	PUNCT
alkej-905	106	13	u	u	NOUN
alkej-905	106	14	=	=	X
alkej-905	106	15	(	(	PUNCT
alkej-905	106	16	σ2	σ2	PROPN
alkej-905	106	17	2e	2e	PROPN
alkej-905	106	18	+	+	CCONJ
alkej-905	106	19	2(1+υ	2(1+υ	NUM
alkej-905	106	20	)	)	PUNCT
alkej-905	106	21	e	e	NOUN
alkej-905	106	22	(	(	PUNCT
alkej-905	106	23	τ𝑜.	τ𝑜.	X
alkej-905	106	24	sin	sin	VERB
alkej-905	106	25	wt	wt	PROPN
alkej-905	106	26	2	2	NUM
alkej-905	106	27	)	)	PUNCT
alkej-905	106	28	2	2	NUM
alkej-905	106	29	)	)	PUNCT
alkej-905	106	30	…	…	PUNCT
alkej-905	106	31	(	(	PUNCT
alkej-905	106	32	13	13	NUM
alkej-905	106	33	)	)	PUNCT
alkej-905	106	34	z	z	NOUN
alkej-905	106	35	•	•	NUM
alkej-905	106	36	•	•	NUM
alkej-905	106	37	•	•	ADP
alkej-905	106	38	a	a	DET
alkej-905	106	39	b	b	NOUN
alkej-905	106	40	c	c	NOUN
alkej-905	106	41	x	x	SYM
alkej-905	106	42	x	x	SYM
alkej-905	106	43	y	y	PROPN
alkej-905	106	44	edge	edge	NOUN
alkej-905	106	45	-pre	-pre	PUNCT
alkej-905	106	46	crack	crack	VERB
alkej-905	106	47	5	5	NUM
alkej-905	106	48	mm	mm	PROPN
alkej-905	106	49	israa	israa	NOUN
alkej-905	106	50	abed	abe	VERB
alkej-905	106	51	alrazak	alrazak	PROPN
alkej-905	106	52	al	al	PROPN
alkej-905	106	53	-	-	PUNCT
alkej-905	106	54	khwarizmi	khwarizmi	PROPN
alkej-905	106	55	engineering	engineering	NOUN
alkej-905	106	56	journal	journal	PROPN
alkej-905	106	57	,	,	PUNCT
alkej-905	106	58	vol	vol	NOUN
alkej-905	106	59	.	.	PROPN
alkej-905	106	60	20	20	NUM
alkej-905	106	61	,	,	PUNCT
alkej-905	106	62	no.4	no.4	PROPN
alkej-905	106	63	,	,	PUNCT
alkej-905	106	64	p.p	p.p	PROPN
alkej-905	106	65	.	.	PROPN
alkej-905	106	66	58–69(2024	58–69(2024	PROPN
alkej-905	106	67	)	)	PUNCT
alkej-905	106	68	61	61	NUM
alkej-905	106	69	fig	fig	NOUN
alkej-905	106	70	.	.	PUNCT
alkej-905	107	1	3	3	X
alkej-905	107	2	.	.	X
alkej-905	107	3	energy	energy	NOUN
alkej-905	107	4	balance	balance	NOUN
alkej-905	107	5	of	of	ADP
alkej-905	107	6	the	the	DET
alkej-905	107	7	crack	crack	NOUN
alkej-905	107	8	,	,	PUNCT
alkej-905	107	9	which	which	PRON
alkej-905	107	10	demonstrates	demonstrate	VERB
alkej-905	107	11	the	the	DET
alkej-905	107	12	effect	effect	NOUN
alkej-905	107	13	of	of	ADP
alkej-905	107	14	the	the	DET
alkej-905	107	15	balance	balance	NOUN
alkej-905	107	16	of	of	ADP
alkej-905	107	17	energies	energy	NOUN
alkej-905	107	18	and	and	CCONJ
alkej-905	107	19	the	the	DET
alkej-905	107	20	influence	influence	NOUN
alkej-905	107	21	that	that	PRON
alkej-905	107	22	the	the	DET
alkej-905	107	23	amount	amount	NOUN
alkej-905	107	24	of	of	ADP
alkej-905	107	25	excess	excess	ADJ
alkej-905	107	26	energy	energy	NOUN
alkej-905	107	27	exerted	exert	VERB
alkej-905	107	28	on	on	ADP
alkej-905	107	29	the	the	DET
alkej-905	107	30	plate	plate	NOUN
alkej-905	107	31	in	in	ADP
alkej-905	107	32	terms	term	NOUN
alkej-905	107	33	of	of	ADP
alkej-905	107	34	the	the	DET
alkej-905	107	35	increase	increase	NOUN
alkej-905	107	36	in	in	ADP
alkej-905	107	37	the	the	DET
alkej-905	107	38	crack	crack	NOUN
alkej-905	107	39	length	length	NOUN
alkej-905	107	40	from	from	ADP
alkej-905	107	41	(	(	PUNCT
alkej-905	107	42	ao	ao	PROPN
alkej-905	107	43	)	)	PUNCT
alkej-905	107	44	to	to	PART
alkej-905	107	45	(	(	PUNCT
alkej-905	107	46	ai	ai	VERB
alkej-905	107	47	)	)	PUNCT
alkej-905	107	48	[	[	X
alkej-905	107	49	17	17	NUM
alkej-905	107	50	]	]	X
alkej-905	107	51	.	.	PUNCT
alkej-905	108	1	physically	physically	ADV
alkej-905	108	2	,	,	PUNCT
alkej-905	108	3	it	it	PRON
alkej-905	108	4	has	have	AUX
alkej-905	108	5	been	be	AUX
alkej-905	108	6	scientifically	scientifically	ADV
alkej-905	108	7	proven	prove	VERB
alkej-905	108	8	[	[	X
alkej-905	108	9	21	21	NUM
alkej-905	108	10	]	]	PUNCT
alkej-905	108	11	,	,	PUNCT
alkej-905	108	12	[	[	X
alkej-905	108	13	22	22	NUM
alkej-905	108	14	]	]	PUNCT
alkej-905	108	15	that	that	SCONJ
alkej-905	108	16	the	the	DET
alkej-905	108	17	deformation	deformation	NOUN
alkej-905	108	18	that	that	PRON
alkej-905	108	19	appears	appear	VERB
alkej-905	108	20	at	at	ADP
alkej-905	108	21	the	the	DET
alkej-905	108	22	crack	crack	NOUN
alkej-905	108	23	edge	edge	NOUN
alkej-905	108	24	,	,	PUNCT
alkej-905	108	25	which	which	PRON
alkej-905	108	26	forms	form	VERB
alkej-905	108	27	the	the	DET
alkej-905	108	28	plastic	plastic	ADJ
alkej-905	108	29	area	area	NOUN
alkej-905	108	30	around	around	ADV
alkej-905	108	31	and	and	CCONJ
alkej-905	108	32	at	at	ADP
alkej-905	108	33	the	the	DET
alkej-905	108	34	tip	tip	NOUN
alkej-905	108	35	of	of	ADP
alkej-905	108	36	the	the	DET
alkej-905	108	37	crack	crack	NOUN
alkej-905	108	38	,	,	PUNCT
alkej-905	108	39	enhances	enhance	VERB
alkej-905	108	40	the	the	DET
alkej-905	108	41	resistance	resistance	NOUN
alkej-905	108	42	to	to	ADP
alkej-905	108	43	the	the	DET
alkej-905	108	44	appearance	appearance	NOUN
alkej-905	108	45	of	of	ADP
alkej-905	108	46	cracks	crack	NOUN
alkej-905	108	47	.	.	PUNCT
alkej-905	109	1	as	as	ADP
alkej-905	109	2	a	a	DET
alkej-905	109	3	result	result	NOUN
alkej-905	109	4	,	,	PUNCT
alkej-905	109	5	the	the	DET
alkej-905	109	6	necessary	necessary	ADJ
alkej-905	109	7	energy	energy	NOUN
alkej-905	109	8	that	that	PRON
alkej-905	109	9	the	the	DET
alkej-905	109	10	crack	crack	NOUN
alkej-905	109	11	needs	need	VERB
alkej-905	109	12	to	to	PART
alkej-905	109	13	start	start	VERB
alkej-905	109	14	growing	grow	VERB
alkej-905	109	15	is	be	AUX
alkej-905	109	16	higher	high	ADJ
alkej-905	109	17	in	in	ADP
alkej-905	109	18	the	the	DET
alkej-905	109	19	crack	crack	NOUN
alkej-905	109	20	at	at	ADP
alkej-905	109	21	the	the	DET
alkej-905	109	22	middle	middle	NOUN
alkej-905	109	23	because	because	SCONJ
alkej-905	109	24	of	of	ADP
alkej-905	109	25	the	the	DET
alkej-905	109	26	two	two	NUM
alkej-905	109	27	tips	tip	NOUN
alkej-905	109	28	of	of	ADP
alkej-905	109	29	the	the	DET
alkej-905	109	30	crack	crack	NOUN
alkej-905	109	31	in	in	ADP
alkej-905	109	32	the	the	DET
alkej-905	109	33	centre	centre	NOUN
alkej-905	109	34	crack	crack	NOUN
alkej-905	109	35	in	in	ADP
alkej-905	109	36	the	the	DET
alkej-905	109	37	plate	plate	NOUN
alkej-905	109	38	.	.	PUNCT
alkej-905	110	1	therefore	therefore	ADV
alkej-905	110	2	,	,	PUNCT
alkej-905	110	3	this	this	DET
alkej-905	110	4	research	research	NOUN
alkej-905	110	5	adopts	adopt	VERB
alkej-905	110	6	the	the	DET
alkej-905	110	7	assumption	assumption	NOUN
alkej-905	110	8	adopted	adopt	VERB
alkej-905	110	9	that	that	SCONJ
alkej-905	110	10	the	the	DET
alkej-905	110	11	energy	energy	NOUN
alkej-905	110	12	surrounded	surround	VERB
alkej-905	110	13	by	by	ADP
alkej-905	110	14	the	the	DET
alkej-905	110	15	crack	crack	NOUN
alkej-905	110	16	is	be	AUX
alkej-905	110	17	defined	define	VERB
alkej-905	110	18	as	as	ADP
alkej-905	110	19	an	an	DET
alkej-905	110	20	area	area	NOUN
alkej-905	110	21	that	that	PRON
alkej-905	110	22	resembles	resemble	VERB
alkej-905	110	23	a	a	DET
alkej-905	110	24	circle	circle	NOUN
alkej-905	110	25	.	.	PUNCT
alkej-905	111	1	the	the	DET
alkej-905	111	2	excess	excess	ADJ
alkej-905	111	3	energy	energy	NOUN
alkej-905	111	4	required	require	VERB
alkej-905	111	5	to	to	PART
alkej-905	111	6	start	start	VERB
alkej-905	111	7	the	the	DET
alkej-905	111	8	growth	growth	NOUN
alkej-905	111	9	of	of	ADP
alkej-905	111	10	the	the	DET
alkej-905	111	11	crack	crack	NOUN
alkej-905	111	12	is	be	AUX
alkej-905	111	13	less	less	ADJ
alkej-905	111	14	in	in	ADP
alkej-905	111	15	the	the	DET
alkej-905	111	16	case	case	NOUN
alkej-905	111	17	of	of	ADP
alkej-905	111	18	the	the	DET
alkej-905	111	19	crack	crack	NOUN
alkej-905	111	20	at	at	ADP
alkej-905	111	21	the	the	DET
alkej-905	111	22	edge	edge	NOUN
alkej-905	111	23	(	(	PUNCT
alkej-905	111	24	that	that	ADV
alkej-905	111	25	is	is	ADV
alkej-905	111	26	,	,	PUNCT
alkej-905	111	27	it	it	PRON
alkej-905	111	28	requires	require	VERB
alkej-905	111	29	less	less	ADJ
alkej-905	111	30	energy	energy	NOUN
alkej-905	111	31	to	to	PART
alkej-905	111	32	appear	appear	VERB
alkej-905	111	33	to	to	PART
alkej-905	111	34	grow	grow	VERB
alkej-905	111	35	)	)	PUNCT
alkej-905	111	36	.	.	PUNCT
alkej-905	112	1	the	the	DET
alkej-905	112	2	excess	excess	ADJ
alkej-905	112	3	energy	energy	NOUN
alkej-905	112	4	is	be	AUX
alkej-905	112	5	expressed	express	VERB
alkej-905	112	6	in	in	ADP
alkej-905	112	7	the	the	DET
alkej-905	112	8	speed	speed	NOUN
alkej-905	112	9	of	of	ADP
alkej-905	112	10	the	the	DET
alkej-905	112	11	risk	risk	NOUN
alkej-905	112	12	of	of	ADP
alkej-905	112	13	spread	spread	ADJ
alkej-905	112	14	rate	rate	NOUN
alkej-905	112	15	and	and	CCONJ
alkej-905	112	16	the	the	DET
alkej-905	112	17	size	size	NOUN
alkej-905	112	18	of	of	ADP
alkej-905	112	19	the	the	DET
alkej-905	112	20	circle	circle	NOUN
alkej-905	112	21	surrounding	surround	VERB
alkej-905	112	22	the	the	DET
alkej-905	112	23	crack	crack	NOUN
alkej-905	112	24	is	be	AUX
alkej-905	112	25	not	not	PART
alkej-905	112	26	similar	similar	ADJ
alkej-905	112	27	in	in	ADP
alkej-905	112	28	the	the	DET
alkej-905	112	29	previously	previously	ADV
alkej-905	112	30	studied	study	VERB
alkej-905	112	31	cases	case	NOUN
alkej-905	112	32	.	.	PUNCT
alkej-905	113	1	the	the	DET
alkej-905	113	2	area	area	NOUN
alkej-905	113	3	is	be	AUX
alkej-905	113	4	smaller	small	ADJ
alkej-905	113	5	,	,	PUNCT
alkej-905	113	6	and	and	CCONJ
alkej-905	113	7	the	the	DET
alkej-905	113	8	diameter	diameter	NOUN
alkej-905	113	9	of	of	ADP
alkej-905	113	10	the	the	DET
alkej-905	113	11	circle	circle	NOUN
alkej-905	113	12	becomes	become	VERB
alkej-905	113	13	(	(	PUNCT
alkej-905	113	14	a	a	X
alkej-905	113	15	)	)	PUNCT
alkej-905	113	16	,	,	PUNCT
alkej-905	113	17	as	as	SCONJ
alkej-905	113	18	shown	show	VERB
alkej-905	113	19	in	in	ADP
alkej-905	113	20	fig	fig	NOUN
alkej-905	113	21	.	.	PUNCT
alkej-905	114	1	4	4	NUM
alkej-905	114	2	,	,	PUNCT
alkej-905	114	3	and	and	CCONJ
alkej-905	114	4	the	the	DET
alkej-905	114	5	radius	radius	NOUN
alkej-905	114	6	of	of	ADP
alkej-905	114	7	the	the	DET
alkej-905	114	8	circle	circle	NOUN
alkej-905	114	9	is	be	AUX
alkej-905	114	10	(	(	PUNCT
alkej-905	114	11	a/2	a/2	X
alkej-905	114	12	)	)	PUNCT
alkej-905	114	13	,	,	PUNCT
alkej-905	114	14	where	where	SCONJ
alkej-905	114	15	the	the	DET
alkej-905	114	16	prediction	prediction	NOUN
alkej-905	114	17	of	of	ADP
alkej-905	114	18	the	the	DET
alkej-905	114	19	theoretical	theoretical	ADJ
alkej-905	114	20	results	result	NOUN
alkej-905	114	21	will	will	AUX
alkej-905	114	22	be	be	AUX
alkej-905	114	23	compared	compare	VERB
alkej-905	114	24	later	later	ADV
alkej-905	114	25	with	with	ADP
alkej-905	114	26	the	the	DET
alkej-905	114	27	propagation	propagation	NOUN
alkej-905	114	28	rate	rate	NOUN
alkej-905	114	29	of	of	ADP
alkej-905	114	30	the	the	DET
alkej-905	114	31	crack	crack	NOUN
alkej-905	114	32	and	and	CCONJ
alkej-905	114	33	its	its	PRON
alkej-905	114	34	failure	failure	NOUN
alkej-905	114	35	to	to	PART
alkej-905	114	36	reach	reach	VERB
alkej-905	114	37	the	the	DET
alkej-905	114	38	stage	stage	NOUN
alkej-905	114	39	of	of	ADP
alkej-905	114	40	failure	failure	NOUN
alkej-905	114	41	,	,	PUNCT
alkej-905	114	42	the	the	DET
alkej-905	114	43	experimental	experimental	ADJ
alkej-905	114	44	results	result	NOUN
alkej-905	114	45	.	.	PUNCT
alkej-905	115	1	the	the	DET
alkej-905	115	2	amount	amount	NOUN
alkej-905	115	3	of	of	ADP
alkej-905	115	4	excess	excess	ADJ
alkej-905	115	5	energy	energy	NOUN
alkej-905	115	6	,	,	PUNCT
alkej-905	115	7	uo	uo	NOUN
alkej-905	115	8	,	,	PUNCT
alkej-905	115	9	per	per	ADP
alkej-905	115	10	unit	unit	NOUN
alkej-905	115	11	thickness	thickness	NOUN
alkej-905	115	12	for	for	ADP
alkej-905	115	13	an	an	DET
alkej-905	115	14	edge	edge	NOUN
alkej-905	115	15	crack	crack	NOUN
alkej-905	115	16	is	be	AUX
alkej-905	115	17	as	as	SCONJ
alkej-905	115	18	follows	follow	VERB
alkej-905	115	19	:	:	PUNCT
alkej-905	115	20	uo	uo	NOUN
alkej-905	115	21	=	=	SYM
alkej-905	115	22	(	(	PUNCT
alkej-905	115	23	σ2	σ2	PROPN
alkej-905	115	24	2e	2e	NOUN
alkej-905	115	25	+	+	CCONJ
alkej-905	115	26	2(1	2(1	NUM
alkej-905	115	27	+	+	CCONJ
alkej-905	115	28	υ	υ	NOUN
alkej-905	115	29	)	)	PUNCT
alkej-905	115	30	e	e	NOUN
alkej-905	115	31	(	(	PUNCT
alkej-905	115	32	τo	τo	NOUN
alkej-905	115	33	.	.	PUNCT
alkej-905	115	34	sin	sin	PROPN
alkej-905	115	35	wt	wt	PROPN
alkej-905	115	36	2	2	NUM
alkej-905	115	37	)	)	PUNCT
alkej-905	115	38	2	2	NUM
alkej-905	115	39	)	)	PUNCT
alkej-905	115	40	.	.	PUNCT
alkej-905	116	1	πa2	πa2	VERB
alkej-905	116	2	4	4	NUM
alkej-905	116	3	)	)	SYM
alkej-905	116	4	14	14	NUM
alkej-905	116	5	(	(	PUNCT
alkej-905	116	6	…	…	PUNCT
alkej-905	116	7	fig	fig	NOUN
alkej-905	116	8	.	.	PUNCT
alkej-905	117	1	4	4	X
alkej-905	117	2	.	.	X
alkej-905	117	3	energy	energy	NOUN
alkej-905	117	4	around	around	ADP
alkej-905	117	5	the	the	DET
alkej-905	117	6	crack	crack	NOUN
alkej-905	117	7	at	at	ADP
alkej-905	117	8	the	the	DET
alkej-905	117	9	edge	edge	NOUN
alkej-905	117	10	of	of	ADP
alkej-905	117	11	the	the	DET
alkej-905	117	12	sample	sample	NOUN
alkej-905	117	13	.	.	PUNCT
alkej-905	118	1	the	the	DET
alkej-905	118	2	value	value	NOUN
alkej-905	118	3	of	of	ADP
alkej-905	118	4	the	the	DET
alkej-905	118	5	excess	excess	ADJ
alkej-905	118	6	energy	energy	NOUN
alkej-905	118	7	is	be	AUX
alkej-905	118	8	transformed	transform	VERB
alkej-905	118	9	into	into	ADP
alkej-905	118	10	the	the	DET
alkej-905	118	11	total	total	ADJ
alkej-905	118	12	energy	energy	NOUN
alkej-905	118	13	as	as	SCONJ
alkej-905	118	14	the	the	DET
alkej-905	118	15	cracking	cracking	NOUN
alkej-905	118	16	begins	begin	VERB
alkej-905	118	17	to	to	PART
alkej-905	118	18	propagate	propagate	VERB
alkej-905	118	19	.	.	PUNCT
alkej-905	119	1	this	this	DET
alkej-905	119	2	conversion	conversion	NOUN
alkej-905	119	3	results	result	NOUN
alkej-905	119	4	in	in	ADP
alkej-905	119	5	kinetic	kinetic	ADJ
alkej-905	119	6	energy	energy	NOUN
alkej-905	119	7	and	and	CCONJ
alkej-905	119	8	heat	heat	NOUN
alkej-905	119	9	;	;	PUNCT
alkej-905	119	10	however	however	ADV
alkej-905	119	11	,	,	PUNCT
alkej-905	119	12	the	the	DET
alkej-905	119	13	heat	heat	NOUN
alkej-905	119	14	energy	energy	NOUN
alkej-905	119	15	is	be	AUX
alkej-905	119	16	negligible	negligible	ADJ
alkej-905	119	17	in	in	ADP
alkej-905	119	18	a	a	DET
alkej-905	119	19	thin	thin	ADJ
alkej-905	119	20	plate	plate	NOUN
alkej-905	119	21	and	and	CCONJ
alkej-905	119	22	can	can	AUX
alkej-905	119	23	be	be	AUX
alkej-905	119	24	ignored	ignore	VERB
alkej-905	119	25	(	(	PUNCT
alkej-905	119	26	u	u	NOUN
alkej-905	119	27	=	=	NOUN
alkej-905	119	28	ttotal	ttotal	ADJ
alkej-905	119	29	)	)	PUNCT
alkej-905	119	30	.	.	PUNCT
alkej-905	120	1	(	(	PUNCT
alkej-905	120	2	σ2	σ2	NOUN
alkej-905	120	3	2e	2e	NOUN
alkej-905	120	4	+	+	CCONJ
alkej-905	120	5	2(1	2(1	NUM
alkej-905	120	6	+	+	CCONJ
alkej-905	120	7	υ	υ	NOUN
alkej-905	120	8	)	)	PUNCT
alkej-905	120	9	e	e	NOUN
alkej-905	120	10	(	(	PUNCT
alkej-905	120	11	τ𝑜	τ𝑜	PROPN
alkej-905	120	12	.	.	PUNCT
alkej-905	120	13	sin	sin	PROPN
alkej-905	120	14	wt	wt	PROPN
alkej-905	120	15	2	2	NUM
alkej-905	120	16	)	)	PUNCT
alkej-905	120	17	2	2	NUM
alkej-905	120	18	)	)	PUNCT
alkej-905	120	19	πa2	πa2	VERB
alkej-905	120	20	4	4	NUM
alkej-905	120	21	=	=	SYM
alkej-905	120	22	ρ	ρ	PROPN
alkej-905	120	23	kai	kai	PROPN
alkej-905	120	24	2	2	NUM
alkej-905	120	25	2e2	2e2	PROPN
alkej-905	121	1	[	[	X
alkej-905	121	2	(	(	PUNCT
alkej-905	121	3	σ2	σ2	NOUN
alkej-905	121	4	+	+	CCONJ
alkej-905	121	5	τ𝑜	τ𝑜	PROPN
alkej-905	121	6	2sin2	2sin2	NUM
alkej-905	121	7	(	(	PUNCT
alkej-905	121	8	wt	wt	PROPN
alkej-905	121	9	2	2	NUM
alkej-905	121	10	)	)	PUNCT
alkej-905	121	11	)	)	PUNCT
alkej-905	121	12	.	.	PUNCT
alkej-905	122	1	(	(	PUNCT
alkej-905	122	2	da	da	NOUN
alkej-905	122	3	dt	dt	NOUN
alkej-905	122	4	)	)	PUNCT
alkej-905	122	5	2	2	NUM
alkej-905	123	1	+	+	NOUN
alkej-905	123	2	τ𝑜	τ𝑜	PROPN
alkej-905	123	3	2	2	NUM
alkej-905	123	4	.	.	PUNCT
alkej-905	123	5	ao	ao	PROPN
alkej-905	123	6	.	.	PUNCT
alkej-905	124	1	w	w	PROPN
alkej-905	124	2	2	2	NUM
alkej-905	124	3	.	.	PUNCT
alkej-905	125	1	sin	sin	NOUN
alkej-905	125	2	(	(	PUNCT
alkej-905	125	3	wt	wt	PROPN
alkej-905	125	4	2	2	NUM
alkej-905	125	5	)	)	PUNCT
alkej-905	125	6	.	.	PUNCT
alkej-905	126	1	(	(	PUNCT
alkej-905	126	2	da	da	NOUN
alkej-905	126	3	dt	dt	NOUN
alkej-905	126	4	)	)	PUNCT
alkej-905	127	1	+	+	ADV
alkej-905	127	2	τ𝑜	τ𝑜	PROPN
alkej-905	127	3	2	2	NUM
alkej-905	127	4	.	.	PUNCT
alkej-905	127	5	ao	ao	PROPN
alkej-905	127	6	2	2	NUM
alkej-905	127	7	w2	w2	PROPN
alkej-905	127	8	4	4	NUM
alkej-905	127	9	.	.	PUNCT
alkej-905	128	1	cos2	cos2	PROPN
alkej-905	128	2	(	(	PUNCT
alkej-905	128	3	wt	wt	PROPN
alkej-905	128	4	2	2	NUM
alkej-905	128	5	)	)	PUNCT
alkej-905	128	6	]	]	PUNCT
alkej-905	128	7	)	)	PUNCT
alkej-905	128	8	15	15	NUM
alkej-905	128	9	(	(	PUNCT
alkej-905	128	10	…	…	PUNCT
alkej-905	128	11	where	where	SCONJ
alkej-905	128	12	equation	equation	NOUN
alkej-905	128	13	(	(	PUNCT
alkej-905	128	14	15	15	NUM
alkej-905	128	15	)	)	PUNCT
alkej-905	128	16	is	be	AUX
alkej-905	128	17	the	the	DET
alkej-905	128	18	final	final	ADJ
alkej-905	128	19	crack	crack	NOUN
alkej-905	128	20	growth	growth	NOUN
alkej-905	128	21	equation	equation	NOUN
alkej-905	128	22	.	.	PUNCT
alkej-905	129	1	3	3	X
alkej-905	129	2	.	.	X
alkej-905	129	3	experimental	experimental	ADJ
alkej-905	129	4	work	work	NOUN
alkej-905	129	5	before	before	SCONJ
alkej-905	129	6	the	the	DET
alkej-905	129	7	samples	sample	NOUN
alkej-905	129	8	undergo	undergo	VERB
alkej-905	129	9	the	the	DET
alkej-905	129	10	apparatus	apparatus	NOUN
alkej-905	129	11	,	,	PUNCT
alkej-905	129	12	the	the	DET
alkej-905	129	13	mechanical	mechanical	ADJ
alkej-905	129	14	properties	property	NOUN
alkej-905	129	15	,	,	PUNCT
alkej-905	129	16	which	which	PRON
alkej-905	129	17	are	be	AUX
alkej-905	129	18	represented	represent	VERB
alkej-905	129	19	by	by	ADP
alkej-905	129	20	conducting	conduct	VERB
alkej-905	129	21	the	the	DET
alkej-905	129	22	vickers	vicker	NOUN
alkej-905	129	23	hardness	hardness	NOUN
alkej-905	129	24	test	test	NOUN
alkej-905	129	25	and	and	CCONJ
alkej-905	129	26	the	the	DET
alkej-905	129	27	tensile	tensile	NOUN
alkej-905	129	28	test	test	NOUN
alkej-905	129	29	,	,	PUNCT
alkej-905	129	30	and	and	CCONJ
alkej-905	129	31	the	the	DET
alkej-905	129	32	chemical	chemical	NOUN
alkej-905	129	33	properties	property	NOUN
alkej-905	129	34	,	,	PUNCT
alkej-905	129	35	must	must	AUX
alkej-905	129	36	be	be	AUX
alkej-905	129	37	determined	determine	VERB
alkej-905	129	38	.	.	PUNCT
alkej-905	130	1	the	the	DET
alkej-905	130	2	x	x	NOUN
alkej-905	130	3	-	-	NOUN
alkej-905	130	4	ray	ray	NOUN
alkej-905	130	5	device	device	NOUN
alkej-905	130	6	was	be	AUX
alkej-905	130	7	used	use	VERB
alkej-905	130	8	to	to	PART
alkej-905	130	9	analyse	analyse	VERB
alkej-905	130	10	the	the	DET
alkej-905	130	11	samples	sample	NOUN
alkej-905	130	12	to	to	PART
alkej-905	130	13	study	study	VERB
alkej-905	130	14	and	and	CCONJ
alkej-905	130	15	understand	understand	VERB
alkej-905	130	16	their	their	PRON
alkej-905	130	17	properties	property	NOUN
alkej-905	130	18	,	,	PUNCT
alkej-905	130	19	components	component	NOUN
alkej-905	130	20	of	of	ADP
alkej-905	130	21	chemical	chemical	ADJ
alkej-905	130	22	elements	element	NOUN
alkej-905	130	23	,	,	PUNCT
alkej-905	130	24	and	and	CCONJ
alkej-905	130	25	engineering	engineering	NOUN
alkej-905	130	26	behaviour	behaviour	NOUN
alkej-905	130	27	as	as	SCONJ
alkej-905	130	28	shown	show	VERB
alkej-905	130	29	in	in	ADP
alkej-905	130	30	fig	fig	NOUN
alkej-905	130	31	.	.	PUNCT
alkej-905	131	1	5	5	NUM
alkej-905	131	2	.	.	X
alkej-905	131	3	excess	excess	ADJ
alkej-905	131	4	energy	energy	NOUN
alkej-905	131	5	owning	owning	NOUN
alkej-905	131	6	to	to	ADP
alkej-905	131	7	unstable	unstable	ADJ
alkej-905	131	8	crack	crack	NOUN
alkej-905	131	9	growth	growth	NOUN
alkej-905	131	10	g	g	NOUN
alkej-905	131	11	,	,	PUNCT
alkej-905	131	12	r	r	PROPN
alkej-905	131	13	oa	oa	PROPN
alkej-905	131	14	ia	ia	PROPN
alkej-905	131	15	icr	icr	PROPN
alkej-905	131	16	=	=	PROPN
alkej-905	131	17	g	g	PROPN
alkej-905	131	18	total	total	ADJ
alkej-905	131	19	crack	crack	NOUN
alkej-905	131	20	length	length	NOUN
alkej-905	131	21	,	,	PUNCT
alkej-905	131	22	a	a	PRON
alkej-905	131	23	a	a	DET
alkej-905	131	24	dge	dge	NOUN
alkej-905	131	25	e	e	NOUN
alkej-905	131	26	crack	crack	NOUN
alkej-905	131	27	x	x	SYM
alkej-905	131	28	israa	israa	NOUN
alkej-905	131	29	abed	abe	VERB
alkej-905	131	30	alrazak	alrazak	PROPN
alkej-905	131	31	al	al	PROPN
alkej-905	131	32	-	-	PUNCT
alkej-905	131	33	khwarizmi	khwarizmi	PROPN
alkej-905	131	34	engineering	engineering	NOUN
alkej-905	131	35	journal	journal	PROPN
alkej-905	131	36	,	,	PUNCT
alkej-905	131	37	vol	vol	NOUN
alkej-905	131	38	.	.	PROPN
alkej-905	131	39	20	20	NUM
alkej-905	131	40	,	,	PUNCT
alkej-905	131	41	no.4	no.4	PROPN
alkej-905	131	42	,	,	PUNCT
alkej-905	131	43	p.p	p.p	PROPN
alkej-905	131	44	.	.	PROPN
alkej-905	131	45	58–69(2024	58–69(2024	PROPN
alkej-905	131	46	)	)	PUNCT
alkej-905	131	47	62	62	NUM
alkej-905	131	48	fig	fig	NOUN
alkej-905	131	49	.	.	PUNCT
alkej-905	132	1	5	5	X
alkej-905	132	2	.	.	X
alkej-905	132	3	mechanical	mechanical	ADJ
alkej-905	132	4	tests	test	NOUN
alkej-905	132	5	:	:	PUNCT
alkej-905	132	6	a	a	X
alkej-905	132	7	)	)	PUNCT
alkej-905	132	8	vickers	vicker	NOUN
alkej-905	132	9	hardening	harden	VERB
alkej-905	132	10	test	test	NOUN
alkej-905	132	11	;	;	PUNCT
alkej-905	132	12	b	b	X
alkej-905	132	13	)	)	PUNCT
alkej-905	132	14	zwick	zwick	NOUN
alkej-905	132	15	tensile	tensile	PROPN
alkej-905	132	16	test	test	NOUN
alkej-905	132	17	machine	machine	NOUN
alkej-905	132	18	;	;	PUNCT
alkej-905	132	19	c	c	X
alkej-905	132	20	)	)	PUNCT
alkej-905	132	21	standard	standard	ADJ
alkej-905	132	22	specimens	specimen	NOUN
alkej-905	132	23	for	for	ADP
alkej-905	132	24	tensile	tensile	NOUN
alkej-905	132	25	test	test	NOUN
alkej-905	132	26	.	.	PUNCT
alkej-905	133	1	tables	table	NOUN
alkej-905	133	2	1	1	NUM
alkej-905	133	3	and	and	CCONJ
alkej-905	133	4	2	2	NUM
alkej-905	133	5	show	show	VERB
alkej-905	133	6	the	the	DET
alkej-905	133	7	chemical	chemical	NOUN
alkej-905	133	8	composition	composition	NOUN
alkej-905	133	9	and	and	CCONJ
alkej-905	133	10	mechanical	mechanical	ADJ
alkej-905	133	11	properties	property	NOUN
alkej-905	133	12	of	of	ADP
alkej-905	133	13	the	the	DET
alkej-905	133	14	samples	sample	NOUN
alkej-905	133	15	.	.	PUNCT
alkej-905	134	1	table	table	NOUN
alkej-905	134	2	1	1	NUM
alkej-905	134	3	,	,	PUNCT
alkej-905	134	4	chemical	chemical	NOUN
alkej-905	134	5	composition	composition	NOUN
alkej-905	134	6	for	for	ADP
alkej-905	134	7	samples	sample	NOUN
alkej-905	134	8	table	table	NOUN
alkej-905	134	9	2	2	NUM
alkej-905	134	10	,	,	PUNCT
alkej-905	134	11	mechanical	mechanical	ADJ
alkej-905	134	12	properties	property	NOUN
alkej-905	134	13	for	for	ADP
alkej-905	134	14	samples	sample	NOUN
alkej-905	134	15	the	the	DET
alkej-905	134	16	research	research	NOUN
alkej-905	134	17	apparatus	apparatus	NOUN
alkej-905	134	18	that	that	PRON
alkej-905	134	19	applies	apply	VERB
alkej-905	134	20	a	a	DET
alkej-905	134	21	combined	combined	ADJ
alkej-905	134	22	load	load	NOUN
alkej-905	134	23	on	on	ADP
alkej-905	134	24	the	the	DET
alkej-905	134	25	sample	sample	NOUN
alkej-905	134	26	was	be	AUX
alkej-905	134	27	designed	design	VERB
alkej-905	134	28	regionally	regionally	ADV
alkej-905	134	29	[	[	X
alkej-905	135	1	5	5	NUM
alkej-905	135	2	]	]	PUNCT
alkej-905	135	3	.	.	PUNCT
alkej-905	136	1	the	the	DET
alkej-905	136	2	tensile	tensile	NOUN
alkej-905	136	3	load	load	NOUN
alkej-905	136	4	is	be	AUX
alkej-905	136	5	applied	apply	VERB
alkej-905	136	6	in	in	ADP
alkej-905	136	7	the	the	DET
alkej-905	136	8	vertical	vertical	ADJ
alkej-905	136	9	direction	direction	NOUN
alkej-905	136	10	relative	relative	ADJ
alkej-905	136	11	to	to	ADP
alkej-905	136	12	the	the	DET
alkej-905	136	13	level	level	NOUN
alkej-905	136	14	of	of	ADP
alkej-905	136	15	the	the	DET
alkej-905	136	16	crack	crack	NOUN
alkej-905	136	17	surface	surface	NOUN
alkej-905	136	18	to	to	PART
alkej-905	136	19	generate	generate	VERB
alkej-905	136	20	the	the	DET
alkej-905	136	21	opening	opening	NOUN
alkej-905	136	22	mode	mode	NOUN
alkej-905	136	23	(	(	PUNCT
alkej-905	136	24	mode	mode	NOUN
alkej-905	136	25	i	i	PROPN
alkej-905	136	26	)	)	PUNCT
alkej-905	136	27	,	,	PUNCT
alkej-905	136	28	and	and	CCONJ
alkej-905	136	29	the	the	DET
alkej-905	136	30	apparatus	apparatus	NOUN
alkej-905	136	31	is	be	AUX
alkej-905	136	32	placed	place	VERB
alkej-905	136	33	on	on	ADP
alkej-905	136	34	the	the	DET
alkej-905	136	35	other	other	ADJ
alkej-905	136	36	axis	axis	NOUN
alkej-905	136	37	of	of	ADP
alkej-905	136	38	the	the	DET
alkej-905	136	39	specimen	speciman	NOUN
alkej-905	136	40	to	to	PART
alkej-905	136	41	be	be	AUX
alkej-905	136	42	the	the	DET
alkej-905	136	43	cycling	cycling	NOUN
alkej-905	136	44	load	load	NOUN
alkej-905	136	45	to	to	PART
alkej-905	136	46	develop	develop	VERB
alkej-905	136	47	into	into	ADP
alkej-905	136	48	mode	mode	PROPN
alkej-905	136	49	ii	ii	PROPN
alkej-905	136	50	,	,	PUNCT
alkej-905	136	51	which	which	PRON
alkej-905	136	52	consists	consist	VERB
alkej-905	136	53	of	of	ADP
alkej-905	136	54	periodic	periodic	ADJ
alkej-905	136	55	shear	shear	NOUN
alkej-905	136	56	loading	loading	NOUN
alkej-905	136	57	.	.	PUNCT
alkej-905	137	1	the	the	DET
alkej-905	137	2	apparatus	apparatus	NOUN
alkej-905	137	3	generates	generate	VERB
alkej-905	137	4	both	both	DET
alkej-905	137	5	modes	mode	NOUN
alkej-905	137	6	.	.	PUNCT
alkej-905	138	1	a	a	DET
alkej-905	138	2	hydraulic	hydraulic	ADJ
alkej-905	138	3	system	system	NOUN
alkej-905	138	4	includes	include	VERB
alkej-905	138	5	a	a	DET
alkej-905	138	6	hydraulic	hydraulic	ADJ
alkej-905	138	7	pump	pump	NOUN
alkej-905	138	8	,	,	PUNCT
alkej-905	138	9	hydraulic	hydraulic	ADJ
alkej-905	138	10	transmission	transmission	NOUN
alkej-905	138	11	tube	tube	NOUN
alkej-905	138	12	,	,	PUNCT
alkej-905	138	13	pressure	pressure	NOUN
alkej-905	138	14	gauge	gauge	NOUN
alkej-905	138	15	to	to	PART
alkej-905	138	16	indicate	indicate	VERB
alkej-905	138	17	the	the	DET
alkej-905	138	18	amount	amount	NOUN
alkej-905	138	19	of	of	ADP
alkej-905	138	20	tension	tension	NOUN
alkej-905	138	21	applied	apply	VERB
alkej-905	138	22	to	to	ADP
alkej-905	138	23	the	the	DET
alkej-905	138	24	sample	sample	NOUN
alkej-905	138	25	and	and	CCONJ
alkej-905	138	26	manual	manual	ADJ
alkej-905	138	27	lever	lever	NOUN
alkej-905	138	28	to	to	PART
alkej-905	138	29	operate	operate	VERB
alkej-905	138	30	the	the	DET
alkej-905	138	31	hydraulic	hydraulic	ADJ
alkej-905	138	32	pump	pump	NOUN
alkej-905	138	33	that	that	PRON
alkej-905	138	34	produces	produce	VERB
alkej-905	138	35	the	the	DET
alkej-905	138	36	tension	tension	NOUN
alkej-905	138	37	force	force	NOUN
alkej-905	138	38	.	.	PUNCT
alkej-905	139	1	in	in	ADP
alkej-905	139	2	terms	term	NOUN
alkej-905	139	3	of	of	ADP
alkej-905	139	4	cycling	cycling	NOUN
alkej-905	139	5	shear	shear	NOUN
alkej-905	139	6	stress	stress	NOUN
alkej-905	139	7	,	,	PUNCT
alkej-905	139	8	the	the	DET
alkej-905	139	9	movement	movement	NOUN
alkej-905	139	10	is	be	AUX
alkej-905	139	11	produced	produce	VERB
alkej-905	139	12	by	by	ADP
alkej-905	139	13	an	an	DET
alkej-905	139	14	electric	electric	ADJ
alkej-905	139	15	motor	motor	NOUN
alkej-905	139	16	with	with	ADP
alkej-905	139	17	a	a	DET
alkej-905	139	18	rotational	rotational	ADJ
alkej-905	139	19	speed	speed	NOUN
alkej-905	139	20	of	of	ADP
alkej-905	139	21	1000	1000	NUM
alkej-905	139	22	revolutions	revolution	NOUN
alkej-905	139	23	per	per	ADP
alkej-905	139	24	minute	minute	NOUN
alkej-905	139	25	in	in	ADP
alkej-905	139	26	direct	direct	ADJ
alkej-905	139	27	current	current	ADJ
alkej-905	139	28	type	type	NOUN
alkej-905	139	29	with	with	ADP
alkej-905	139	30	three	three	NUM
alkej-905	139	31	phases	phase	NOUN
alkej-905	139	32	.	.	PUNCT
alkej-905	140	1	it	it	PRON
alkej-905	140	2	transmits	transmit	VERB
alkej-905	140	3	a	a	DET
alkej-905	140	4	shaft	shaft	NOUN
alkej-905	140	5	through	through	ADP
alkej-905	140	6	a	a	DET
alkej-905	140	7	v	v	NOUN
alkej-905	140	8	-	-	PUNCT
alkej-905	140	9	type	type	NOUN
alkej-905	140	10	transmission	transmission	NOUN
alkej-905	140	11	belt	belt	NOUN
alkej-905	140	12	and	and	CCONJ
alkej-905	140	13	a	a	DET
alkej-905	140	14	lever	lever	NOUN
alkej-905	140	15	connected	connect	VERB
alkej-905	140	16	to	to	ADP
alkej-905	140	17	the	the	DET
alkej-905	140	18	shaft	shaft	NOUN
alkej-905	140	19	is	be	AUX
alkej-905	140	20	used	use	VERB
alkej-905	140	21	to	to	PART
alkej-905	140	22	convert	convert	VERB
alkej-905	140	23	it	it	PRON
alkej-905	140	24	into	into	ADP
alkej-905	140	25	a	a	DET
alkej-905	140	26	linear	linear	ADJ
alkej-905	140	27	motion	motion	NOUN
alkej-905	140	28	.	.	PUNCT
alkej-905	141	1	this	this	PRON
alkej-905	141	2	is	be	AUX
alkej-905	141	3	the	the	DET
alkej-905	141	4	location	location	NOUN
alkej-905	141	5	where	where	SCONJ
alkej-905	141	6	the	the	DET
alkej-905	141	7	rotational	rotational	ADJ
alkej-905	141	8	motion	motion	NOUN
alkej-905	141	9	is	be	AUX
alkej-905	141	10	transformed	transform	VERB
alkej-905	141	11	into	into	ADP
alkej-905	141	12	a	a	DET
alkej-905	141	13	linear	linear	ADJ
alkej-905	141	14	motion	motion	NOUN
alkej-905	141	15	.	.	PUNCT
alkej-905	142	1	figs	fig	NOUN
alkej-905	142	2	.	.	PUNCT
alkej-905	143	1	7	7	NUM
alkej-905	143	2	and	and	CCONJ
alkej-905	143	3	8	8	NUM
alkej-905	143	4	show	show	VERB
alkej-905	143	5	the	the	DET
alkej-905	143	6	lever	lever	NOUN
alkej-905	143	7	possesses	possess	VERB
alkej-905	143	8	a	a	DET
alkej-905	143	9	screw	screw	NOUN
alkej-905	143	10	for	for	ADP
alkej-905	143	11	the	the	DET
alkej-905	143	12	purpose	purpose	NOUN
alkej-905	143	13	of	of	ADP
alkej-905	143	14	controlling	control	VERB
alkej-905	143	15	the	the	DET
alkej-905	143	16	amount	amount	NOUN
alkej-905	143	17	of	of	ADP
alkej-905	143	18	displacement	displacement	NOUN
alkej-905	143	19	that	that	PRON
alkej-905	143	20	enters	enter	VERB
alkej-905	143	21	the	the	DET
alkej-905	143	22	sample	sample	NOUN
alkej-905	143	23	holder	holder	NOUN
alkej-905	143	24	.	.	PUNCT
alkej-905	144	1	fig	fig	NOUN
alkej-905	144	2	.	.	PUNCT
alkej-905	145	1	6	6	NUM
alkej-905	145	2	:	:	PUNCT
alkej-905	145	3	a	a	X
alkej-905	145	4	)	)	PUNCT
alkej-905	145	5	strain	strain	NOUN
alkej-905	145	6	meter	meter	NOUN
alkej-905	145	7	device	device	NOUN
alkej-905	145	8	;	;	PUNCT
alkej-905	145	9	b	b	X
alkej-905	145	10	)	)	PUNCT
alkej-905	145	11	strain	strain	ADJ
alkej-905	145	12	gauge	gauge	NOUN
alkej-905	145	13	paste	paste	NOUN
alkej-905	145	14	on	on	ADP
alkej-905	145	15	the	the	DET
alkej-905	145	16	specimen	speciman	NOUN
alkej-905	145	17	.	.	PUNCT
alkej-905	146	1	this	this	DET
alkej-905	146	2	step	step	NOUN
alkej-905	146	3	allows	allow	VERB
alkej-905	146	4	the	the	DET
alkej-905	146	5	value	value	NOUN
alkej-905	146	6	of	of	ADP
alkej-905	146	7	the	the	DET
alkej-905	146	8	shear	shear	NOUN
alkej-905	146	9	strain	strain	NOUN
alkej-905	146	10	that	that	PRON
alkej-905	146	11	was	be	AUX
alkej-905	146	12	applied	apply	VERB
alkej-905	146	13	on	on	ADP
alkej-905	146	14	the	the	DET
alkej-905	146	15	specimen	speciman	NOUN
alkej-905	146	16	to	to	PART
alkej-905	146	17	be	be	AUX
alkej-905	146	18	measured	measure	VERB
alkej-905	146	19	by	by	ADP
alkej-905	146	20	two	two	NUM
alkej-905	146	21	strain	strain	NOUN
alkej-905	146	22	gauges	gauge	NOUN
alkej-905	146	23	with	with	ADP
alkej-905	146	24	120	120	NUM
alkej-905	146	25	ohms	ohm	NOUN
alkej-905	146	26	attached	attach	VERB
alkej-905	146	27	at	at	ADP
alkej-905	146	28	the	the	DET
alkej-905	146	29	centre	centre	NOUN
alkej-905	146	30	of	of	ADP
alkej-905	146	31	the	the	DET
alkej-905	146	32	sample	sample	NOUN
alkej-905	146	33	and	and	CCONJ
alkej-905	146	34	to	to	ADP
alkej-905	146	35	the	the	DET
alkej-905	146	36	top	top	ADJ
alkej-905	146	37	and	and	CCONJ
alkej-905	146	38	bottom	bottom	ADJ
alkej-905	146	39	faces	face	NOUN
alkej-905	146	40	(	(	PUNCT
alkej-905	146	41	halfbridge	halfbridge	PROPN
alkej-905	146	42	)	)	PUNCT
alkej-905	147	1	[	[	X
alkej-905	147	2	24	24	NUM
alkej-905	147	3	]	]	PUNCT
alkej-905	147	4	,	,	PUNCT
alkej-905	147	5	see	see	VERB
alkej-905	147	6	fig	fig	NOUN
alkej-905	147	7	.	.	PUNCT
alkej-905	148	1	6	6	NUM
alkej-905	148	2	(	(	PUNCT
alkej-905	148	3	a	a	PRON
alkej-905	148	4	and	and	CCONJ
alkej-905	148	5	b	b	NOUN
alkej-905	148	6	)	)	PUNCT
alkej-905	148	7	.	.	PUNCT
alkej-905	149	1	six	six	NUM
alkej-905	149	2	sample	sample	NOUN
alkej-905	149	3	clamps	clamp	NOUN
alkej-905	149	4	make	make	VERB
alkej-905	149	5	up	up	ADP
alkej-905	149	6	the	the	DET
alkej-905	149	7	total	total	ADJ
alkej-905	149	8	number	number	NOUN
alkej-905	149	9	available	available	ADJ
alkej-905	149	10	;	;	PUNCT
alkej-905	149	11	two	two	NUM
alkej-905	149	12	are	be	AUX
alkej-905	149	13	permanently	permanently	ADV
alkej-905	149	14	attached	attach	VERB
alkej-905	149	15	,	,	PUNCT
alkej-905	149	16	and	and	CCONJ
alkej-905	149	17	the	the	DET
alkej-905	149	18	fourth	fourth	ADJ
alkej-905	149	19	clamp	clamp	NOUN
alkej-905	149	20	is	be	AUX
alkej-905	149	21	fixed	fix	VERB
alkej-905	149	22	.	.	PUNCT
alkej-905	150	1	a	a	DET
alkej-905	150	2	)	)	PUNCT
alkej-905	150	3	b	b	NOUN
alkej-905	150	4	)	)	PUNCT
alkej-905	150	5	c	c	NOUN
alkej-905	150	6	)	)	PUNCT
alkej-905	150	7	elements	element	NOUN
alkej-905	150	8	6061	6061	NUM
alkej-905	151	1	aa	aa	NOUN
alkej-905	151	2	5052aa	5052aa	NOUN
alkej-905	151	3	si	si	PROPN
alkej-905	151	4	0.34	0.34	NUM
alkej-905	151	5	0.491	0.491	NUM
alkej-905	151	6	fe	fe	NOUN
alkej-905	151	7	0.514	0.514	NUM
alkej-905	151	8	0.491	0.491	NUM
alkej-905	151	9	cu	cu	PROPN
alkej-905	151	10	0.043	0.043	NUM
alkej-905	151	11	0.249	0.249	NUM
alkej-905	151	12	mn	mn	PROPN
alkej-905	151	13	0.118	0.118	NUM
alkej-905	151	14	0.0988	0.0988	NUM
alkej-905	151	15	mg	mg	PROPN
alkej-905	151	16	2.59	2.59	NUM
alkej-905	151	17	0.933	0.933	NUM
alkej-905	151	18	cr	cr	PROPN
alkej-905	151	19	0.0168	0.0168	NUM
alkej-905	151	20	0.108	0.108	NUM
alkej-905	151	21	ni	ni	PROPN
alkej-905	151	22	0.0063	0.0063	NUM
alkej-905	151	23	0.0076	0.0076	NUM
alkej-905	151	24	zn	zn	NUM
alkej-905	151	25	0.0376	0.0376	NUM
alkej-905	151	26	0.0242	0.0242	NUM
alkej-905	151	27	ti	ti	NOUN
alkej-905	151	28	0.008	0.008	NUM
alkej-905	151	29	0.0093	0.0093	NUM
alkej-905	151	30	pb	pb	ADP
alkej-905	151	31	0.0156	0.0156	NUM
alkej-905	151	32	0.012	0.012	NUM
alkej-905	151	33	al	al	PROPN
alkej-905	151	34	96.3	96.3	NUM
alkej-905	151	35	97.6	97.6	NUM
alkej-905	151	36	properties	property	NOUN
alkej-905	151	37	6061	6061	NUM
alkej-905	151	38	aa	aa	NOUN
alkej-905	151	39	5052	5052	NUM
alkej-905	151	40	aa	aa	NOUN
alkej-905	151	41	ultimate	ultimate	ADJ
alkej-905	151	42	stress	stress	NOUN
alkej-905	151	43	(	(	PUNCT
alkej-905	151	44	mpa	mpa	NOUN
alkej-905	151	45	)	)	PUNCT
alkej-905	151	46	288.95	288.95	NUM
alkej-905	151	47	215.34	215.34	NUM
alkej-905	151	48	yield	yield	NOUN
alkej-905	151	49	stress	stress	NOUN
alkej-905	151	50	(	(	PUNCT
alkej-905	151	51	mpa	mpa	PROPN
alkej-905	151	52	)	)	PUNCT
alkej-905	151	53	249.65	249.65	NUM
alkej-905	151	54	106.23	106.23	NUM
alkej-905	151	55	elongation	elongation	NOUN
alkej-905	151	56	%	%	NOUN
alkej-905	151	57	13.8	13.8	NUM
alkej-905	151	58	106.23	106.23	NUM
alkej-905	151	59	hardening	harden	VERB
alkej-905	151	60	vickers	vicker	NOUN
alkej-905	151	61	test	test	VERB
alkej-905	151	62	98	98	NUM
alkej-905	151	63	60	60	NUM
alkej-905	151	64	modules	module	NOUN
alkej-905	151	65	of	of	ADP
alkej-905	151	66	elasticity	elasticity	NOUN
alkej-905	151	67	(	(	PUNCT
alkej-905	151	68	gpa	gpa	PROPN
alkej-905	151	69	)	)	PUNCT
alkej-905	151	70	68.9	68.9	NUM
alkej-905	151	71	70.3	70.3	NUM
alkej-905	151	72	israa	israa	NOUN
alkej-905	151	73	abed	abe	VERB
alkej-905	151	74	alrazak	alrazak	PROPN
alkej-905	151	75	al	al	PROPN
alkej-905	151	76	-	-	PUNCT
alkej-905	151	77	khwarizmi	khwarizmi	PROPN
alkej-905	151	78	engineering	engineering	NOUN
alkej-905	151	79	journal	journal	PROPN
alkej-905	151	80	,	,	PUNCT
alkej-905	151	81	vol	vol	NOUN
alkej-905	151	82	.	.	PROPN
alkej-905	151	83	20	20	NUM
alkej-905	151	84	,	,	PUNCT
alkej-905	151	85	no.4	no.4	PROPN
alkej-905	151	86	,	,	PUNCT
alkej-905	151	87	p.p	p.p	PROPN
alkej-905	151	88	.	.	PROPN
alkej-905	151	89	58–69(2024	58–69(2024	NUM
alkej-905	151	90	)	)	PUNCT
alkej-905	152	1	63	63	NUM
alkej-905	152	2	rogrampby	rogrampby	NOUN
alkej-905	152	3	solid	solid	ADJ
alkej-905	152	4	work	work	NOUN
alkej-905	152	5	evice	evice	NOUN
alkej-905	152	6	dthe	dthe	PRON
alkej-905	152	7	fig	fig	NOUN
alkej-905	152	8	.	.	PUNCT
alkej-905	153	1	7	7	X
alkej-905	153	2	.	.	X
alkej-905	153	3	section	section	NOUN
alkej-905	153	4	of	of	ADP
alkej-905	153	5	one	one	NUM
alkej-905	153	6	of	of	ADP
alkej-905	153	7	the	the	DET
alkej-905	153	8	movable	movable	ADJ
alkej-905	153	9	sample	sample	NOUN
alkej-905	153	10	grippers	gripper	NOUN
alkej-905	153	11	is	be	AUX
alkej-905	153	12	connected	connect	VERB
alkej-905	153	13	to	to	ADP
alkej-905	153	14	the	the	DET
alkej-905	153	15	hydraulic	hydraulic	ADJ
alkej-905	153	16	pump	pump	NOUN
alkej-905	153	17	that	that	PRON
alkej-905	153	18	pulls	pull	VERB
alkej-905	153	19	it	it	PRON
alkej-905	153	20	out	out	ADP
alkej-905	153	21	with	with	ADP
alkej-905	153	22	a	a	DET
alkej-905	153	23	tensile	tensile	NOUN
alkej-905	153	24	strength	strength	NOUN
alkej-905	153	25	of	of	ADP
alkej-905	153	26	30	30	NUM
alkej-905	153	27	bar	bar	NOUN
alkej-905	153	28	.	.	PUNCT
alkej-905	154	1	the	the	DET
alkej-905	154	2	other	other	ADJ
alkej-905	154	3	gripper	gripper	NOUN
alkej-905	154	4	is	be	AUX
alkej-905	154	5	connected	connect	VERB
alkej-905	154	6	to	to	ADP
alkej-905	154	7	the	the	DET
alkej-905	154	8	arm	arm	NOUN
alkej-905	154	9	generating	generate	VERB
alkej-905	154	10	periodic	periodic	ADJ
alkej-905	154	11	shear	shear	NOUN
alkej-905	154	12	load	load	NOUN
alkej-905	154	13	on	on	ADP
alkej-905	154	14	the	the	DET
alkej-905	154	15	sample	sample	NOUN
alkej-905	154	16	with	with	ADP
alkej-905	154	17	an	an	DET
alkej-905	154	18	entry	entry	NOUN
alkej-905	154	19	value	value	NOUN
alkej-905	154	20	of	of	ADP
alkej-905	154	21	0.00188	0.00188	NUM
alkej-905	154	22	of	of	ADP
alkej-905	154	23	shear	shear	NOUN
alkej-905	154	24	strain	strain	NOUN
alkej-905	154	25	to	to	PART
alkej-905	154	26	ensure	ensure	VERB
alkej-905	154	27	that	that	SCONJ
alkej-905	154	28	the	the	DET
alkej-905	154	29	stresses	stress	NOUN
alkej-905	154	30	investigated	investigate	VERB
alkej-905	154	31	under	under	ADP
alkej-905	154	32	the	the	DET
alkej-905	154	33	high	high	ADJ
alkej-905	154	34	fatigue	fatigue	NOUN
alkej-905	154	35	cycle	cycle	NOUN
alkej-905	154	36	theory	theory	NOUN
alkej-905	154	37	are	be	AUX
alkej-905	154	38	within	within	ADP
alkej-905	154	39	the	the	DET
alkej-905	154	40	elastic	elastic	ADJ
alkej-905	154	41	limit	limit	NOUN
alkej-905	154	42	.	.	PUNCT
alkej-905	155	1	fixed	fix	VERB
alkej-905	155	2	tensile	tensile	NOUN
alkej-905	155	3	stress	stress	NOUN
alkej-905	155	4	was	be	AUX
alkej-905	155	5	applied	apply	VERB
alkej-905	155	6	to	to	ADP
alkej-905	155	7	the	the	DET
alkej-905	155	8	y	y	NOUN
alkej-905	155	9	-	-	PUNCT
alkej-905	155	10	axis	axis	NOUN
alkej-905	155	11	while	while	SCONJ
alkej-905	155	12	cyclic	cyclic	ADJ
alkej-905	155	13	shear	shear	NOUN
alkej-905	155	14	stress	stress	NOUN
alkej-905	155	15	with	with	ADP
alkej-905	155	16	its	its	PRON
alkej-905	155	17	lowest	low	ADJ
alkej-905	155	18	value	value	NOUN
alkej-905	155	19	equal	equal	ADJ
alkej-905	155	20	to	to	ADP
alkej-905	155	21	zero	zero	NUM
alkej-905	155	22	and	and	CCONJ
alkej-905	155	23	its	its	PRON
alkej-905	155	24	highest	high	ADJ
alkej-905	155	25	value	value	NOUN
alkej-905	155	26	equal	equal	ADJ
alkej-905	155	27	to	to	ADP
alkej-905	155	28	(	(	PUNCT
alkej-905	155	29	𝛕	𝛕	X
alkej-905	155	30	=	=	SYM
alkej-905	155	31	49.088	49.088	NUM
alkej-905	155	32	mpa	mpa	NOUN
alkej-905	155	33	)	)	PUNCT
alkej-905	155	34	was	be	AUX
alkej-905	155	35	applied	apply	VERB
alkej-905	155	36	to	to	ADP
alkej-905	155	37	the	the	DET
alkej-905	155	38	x	x	NOUN
alkej-905	155	39	-	-	NOUN
alkej-905	155	40	axis	axis	ADJ
alkej-905	155	41	.	.	PUNCT
alkej-905	156	1	fatigue	fatigue	NOUN
alkej-905	156	2	deviceof	deviceof	VERB
alkej-905	156	3	the	the	DET
alkej-905	156	4	fig	fig	NOUN
alkej-905	156	5	.	.	PUNCT
alkej-905	157	1	8	8	X
alkej-905	157	2	.	.	X
alkej-905	157	3	section	section	NOUN
alkej-905	157	4	the	the	DET
alkej-905	157	5	specimen	speciman	NOUN
alkej-905	157	6	has	have	VERB
alkej-905	157	7	an	an	DET
alkej-905	157	8	edge	edge	NOUN
alkej-905	157	9	pre	pre	ADJ
alkej-905	157	10	-	-	ADJ
alkej-905	157	11	crack	crack	ADJ
alkej-905	157	12	length	length	NOUN
alkej-905	157	13	of	of	ADP
alkej-905	157	14	5	5	NUM
alkej-905	157	15	mm	mm	NOUN
alkej-905	157	16	and	and	CCONJ
alkej-905	157	17	a	a	DET
alkej-905	157	18	thickness	thickness	NOUN
alkej-905	157	19	of	of	ADP
alkej-905	157	20	0.2	0.2	NUM
alkej-905	157	21	mm	mm	NOUN
alkej-905	157	22	;	;	PUNCT
alkej-905	157	23	the	the	DET
alkej-905	157	24	overall	overall	ADJ
alkej-905	157	25	dimensions	dimension	NOUN
alkej-905	157	26	of	of	ADP
alkej-905	157	27	the	the	DET
alkej-905	157	28	specimen	speciman	NOUN
alkej-905	157	29	are	be	AUX
alkej-905	157	30	160	160	NUM
alkej-905	157	31	x	x	SYM
alkej-905	157	32	40	40	NUM
alkej-905	157	33	x	x	SYM
alkej-905	157	34	2	2	NUM
alkej-905	157	35	mm	mm	NOUN
alkej-905	157	36	.	.	PUNCT
alkej-905	158	1	the	the	DET
alkej-905	158	2	specimen	speciman	NOUN
alkej-905	158	3	was	be	AUX
alkej-905	158	4	cut	cut	VERB
alkej-905	158	5	and	and	CCONJ
alkej-905	158	6	cracked	crack	VERB
alkej-905	158	7	using	use	VERB
alkej-905	158	8	a	a	DET
alkej-905	158	9	wirecutting	wirecutting	NOUN
alkej-905	158	10	(	(	PUNCT
alkej-905	158	11	electrical	electrical	ADJ
alkej-905	158	12	discharge	discharge	NOUN
alkej-905	158	13	machining	machining	NOUN
alkej-905	158	14	)	)	PUNCT
alkej-905	158	15	,	,	PUNCT
alkej-905	158	16	as	as	SCONJ
alkej-905	158	17	shown	show	VERB
alkej-905	158	18	in	in	ADP
alkej-905	158	19	(	(	PUNCT
alkej-905	158	20	fig	fig	NOUN
alkej-905	158	21	.	.	PUNCT
alkej-905	159	1	9	9	NUM
alkej-905	159	2	)	)	PUNCT
alkej-905	159	3	.	.	PUNCT
alkej-905	160	1	rack	rack	VERB
alkej-905	160	2	cb	cb	PROPN
alkej-905	160	3	)	)	PUNCT
alkej-905	160	4	specimen	speciman	NOUN
alkej-905	160	5	um	um	INTJ
alkej-905	160	6	alloyiluminafig	alloyiluminafig	INTJ
alkej-905	160	7	.	.	PUNCT
alkej-905	161	1	9	9	NUM
alkej-905	161	2	:	:	PUNCT
alkej-905	161	3	a	a	X
alkej-905	161	4	)	)	PUNCT
alkej-905	161	5	propagation	propagation	NOUN
alkej-905	161	6	the	the	DET
alkej-905	161	7	growth	growth	NOUN
alkej-905	161	8	of	of	ADP
alkej-905	161	9	the	the	DET
alkej-905	161	10	crack	crack	NOUN
alkej-905	161	11	in	in	ADP
alkej-905	161	12	the	the	DET
alkej-905	161	13	sample	sample	NOUN
alkej-905	161	14	was	be	AUX
alkej-905	161	15	observed	observe	VERB
alkej-905	161	16	using	use	VERB
alkej-905	161	17	a	a	DET
alkej-905	161	18	digital	digital	ADJ
alkej-905	161	19	camera	camera	NOUN
alkej-905	161	20	(	(	PUNCT
alkej-905	161	21	nikon	nikon	PROPN
alkej-905	161	22	coolpix	coolpix	PROPN
alkej-905	161	23	b700	b700	PROPN
alkej-905	161	24	)	)	PUNCT
alkej-905	161	25	,	,	PUNCT
alkej-905	161	26	and	and	CCONJ
alkej-905	161	27	the	the	DET
alkej-905	161	28	data	datum	NOUN
alkej-905	161	29	were	be	AUX
alkej-905	161	30	transformed	transform	VERB
alkej-905	161	31	to	to	PART
alkej-905	161	32	determine	determine	VERB
alkej-905	161	33	the	the	DET
alkej-905	161	34	length	length	NOUN
alkej-905	161	35	of	of	ADP
alkej-905	161	36	the	the	DET
alkej-905	161	37	crack	crack	NOUN
alkej-905	161	38	using	use	VERB
alkej-905	161	39	the	the	DET
alkej-905	161	40	image	image	NOUN
alkej-905	161	41	processing	processing	NOUN
alkej-905	161	42	software	software	NOUN
alkej-905	161	43	(	(	PUNCT
alkej-905	161	44	image	image	NOUN
alkej-905	161	45	j	j	PROPN
alkej-905	161	46	)	)	PUNCT
alkej-905	161	47	.	.	PUNCT
alkej-905	162	1	4	4	X
alkej-905	162	2	.	.	NOUN
alkej-905	162	3	results	result	NOUN
alkej-905	162	4	and	and	CCONJ
alkej-905	162	5	discussion	discussion	VERB
alkej-905	162	6	the	the	DET
alkej-905	162	7	results	result	NOUN
alkej-905	162	8	of	of	ADP
alkej-905	162	9	the	the	DET
alkej-905	162	10	experiments	experiment	NOUN
alkej-905	162	11	indicate	indicate	VERB
alkej-905	162	12	differences	difference	NOUN
alkej-905	162	13	in	in	ADP
alkej-905	162	14	the	the	DET
alkej-905	162	15	rate	rate	NOUN
alkej-905	162	16	of	of	ADP
alkej-905	162	17	crack	crack	NOUN
alkej-905	162	18	initiation	initiation	NOUN
alkej-905	162	19	and	and	CCONJ
alkej-905	162	20	growth	growth	NOUN
alkej-905	162	21	between	between	ADP
alkej-905	162	22	the	the	DET
alkej-905	162	23	6061	6061	NUM
alkej-905	162	24	and	and	CCONJ
alkej-905	162	25	5052	5052	NUM
alkej-905	162	26	aluminium	aluminium	NOUN
alkej-905	162	27	alloys	alloy	NOUN
alkej-905	162	28	.	.	PUNCT
alkej-905	163	1	the	the	DET
alkej-905	163	2	differences	difference	NOUN
alkej-905	163	3	were	be	AUX
alkej-905	163	4	based	base	VERB
alkej-905	163	5	on	on	ADP
alkej-905	163	6	the	the	DET
alkej-905	163	7	elasticity	elasticity	NOUN
alkej-905	163	8	of	of	ADP
alkej-905	163	9	the	the	DET
alkej-905	163	10	material	material	NOUN
alkej-905	163	11	,	,	PUNCT
alkej-905	163	12	which	which	PRON
alkej-905	163	13	is	be	AUX
alkej-905	163	14	the	the	DET
alkej-905	163	15	initiation	initiation	NOUN
alkej-905	163	16	of	of	ADP
alkej-905	163	17	life	life	NOUN
alkej-905	163	18	,	,	PUNCT
alkej-905	163	19	and	and	CCONJ
alkej-905	163	20	the	the	DET
alkej-905	163	21	crack	crack	NOUN
alkej-905	163	22	)	)	PUNCT
alkej-905	163	23	a	a	DET
alkej-905	163	24	israa	israa	NOUN
alkej-905	163	25	abed	abe	VERB
alkej-905	163	26	alrazak	alrazak	PROPN
alkej-905	163	27	al	al	PROPN
alkej-905	163	28	-	-	PUNCT
alkej-905	163	29	khwarizmi	khwarizmi	PROPN
alkej-905	163	30	engineering	engineering	NOUN
alkej-905	163	31	journal	journal	PROPN
alkej-905	163	32	,	,	PUNCT
alkej-905	163	33	vol	vol	NOUN
alkej-905	163	34	.	.	PROPN
alkej-905	163	35	20	20	NUM
alkej-905	163	36	,	,	PUNCT
alkej-905	163	37	no.4	no.4	PROPN
alkej-905	163	38	,	,	PUNCT
alkej-905	163	39	p.p	p.p	PROPN
alkej-905	163	40	.	.	PROPN
alkej-905	163	41	58–69(2024	58–69(2024	PROPN
alkej-905	163	42	)	)	PUNCT
alkej-905	163	43	64	64	NUM
alkej-905	163	44	growth	growth	NOUN
alkej-905	163	45	rate	rate	NOUN
alkej-905	163	46	will	will	AUX
alkej-905	163	47	decrease	decrease	VERB
alkej-905	163	48	as	as	ADP
alkej-905	163	49	this	this	DET
alkej-905	163	50	rate	rate	NOUN
alkej-905	163	51	increases	increase	NOUN
alkej-905	163	52	.	.	PUNCT
alkej-905	164	1	in	in	ADP
alkej-905	164	2	contrast	contrast	NOUN
alkej-905	164	3	,	,	PUNCT
alkej-905	164	4	if	if	SCONJ
alkej-905	164	5	initiation	initiation	NOUN
alkej-905	164	6	does	do	AUX
alkej-905	164	7	not	not	PART
alkej-905	164	8	occur	occur	VERB
alkej-905	164	9	,	,	PUNCT
alkej-905	164	10	the	the	DET
alkej-905	164	11	growth	growth	NOUN
alkej-905	164	12	rate	rate	NOUN
alkej-905	164	13	will	will	AUX
alkej-905	164	14	rise	rise	VERB
alkej-905	164	15	,	,	PUNCT
alkej-905	164	16	and	and	CCONJ
alkej-905	164	17	the	the	DET
alkej-905	164	18	material	material	NOUN
alkej-905	164	19	will	will	AUX
alkej-905	164	20	be	be	AUX
alkej-905	164	21	characterised	characterise	VERB
alkej-905	164	22	as	as	ADP
alkej-905	164	23	brittle	brittle	ADJ
alkej-905	164	24	.	.	PUNCT
alkej-905	165	1	the	the	DET
alkej-905	165	2	results	result	NOUN
alkej-905	165	3	of	of	ADP
alkej-905	165	4	the	the	DET
alkej-905	165	5	rate	rate	NOUN
alkej-905	165	6	of	of	ADP
alkej-905	165	7	crack	crack	NOUN
alkej-905	165	8	length	length	NOUN
alkej-905	165	9	during	during	ADP
alkej-905	165	10	the	the	DET
alkej-905	165	11	time	time	NOUN
alkej-905	165	12	and	and	CCONJ
alkej-905	165	13	number	number	NOUN
alkej-905	165	14	of	of	ADP
alkej-905	165	15	cycles	cycle	NOUN
alkej-905	165	16	n	n	CCONJ
alkej-905	165	17	were	be	AUX
alkej-905	165	18	compared	compare	VERB
alkej-905	165	19	with	with	ADP
alkej-905	165	20	the	the	DET
alkej-905	165	21	data	datum	NOUN
alkej-905	165	22	generated	generate	VERB
alkej-905	165	23	from	from	ADP
alkej-905	165	24	the	the	DET
alkej-905	165	25	theoretical	theoretical	ADJ
alkej-905	165	26	analysis	analysis	NOUN
alkej-905	165	27	equation	equation	NOUN
alkej-905	165	28	derived	derive	VERB
alkej-905	165	29	in	in	ADP
alkej-905	165	30	study	study	NOUN
alkej-905	165	31	)	)	PUNCT
alkej-905	165	32	equation	equation	NOUN
alkej-905	165	33	(	(	PUNCT
alkej-905	165	34	15	15	NUM
alkej-905	165	35	)	)	PUNCT
alkej-905	165	36	)	)	PUNCT
alkej-905	165	37	.	.	PUNCT
alkej-905	166	1	.n	.n	PROPN
alkej-905	166	2	)	)	PUNCT
alkej-905	167	1	for	for	ADP
alkej-905	167	2	alloy	alloy	NOUN
alkej-905	167	3	5052-(a	5052-(a	PROPN
alkej-905	167	4	of	of	ADP
alkej-905	167	5	esultrfig	esultrfig	NOUN
alkej-905	167	6	.	.	PUNCT
alkej-905	168	1	10	10	NUM
alkej-905	168	2	.	.	PUNCT
alkej-905	169	1	a	a	DET
alkej-905	169	2	comparison	comparison	NOUN
alkej-905	169	3	of	of	ADP
alkej-905	169	4	the	the	DET
alkej-905	169	5	number	number	NOUN
alkej-905	169	6	of	of	ADP
alkej-905	169	7	cycles	cycle	NOUN
alkej-905	169	8	(	(	PUNCT
alkej-905	169	9	n	n	CCONJ
alkej-905	169	10	)	)	PUNCT
alkej-905	169	11	with	with	ADP
alkej-905	169	12	the	the	DET
alkej-905	169	13	length	length	NOUN
alkej-905	169	14	of	of	ADP
alkej-905	169	15	the	the	DET
alkej-905	169	16	crack	crack	NOUN
alkej-905	169	17	(	(	PUNCT
alkej-905	169	18	a	a	X
alkej-905	169	19	)	)	PUNCT
alkej-905	169	20	formed	form	VERB
alkej-905	169	21	for	for	ADP
alkej-905	169	22	the	the	DET
alkej-905	169	23	experimental	experimental	ADJ
alkej-905	169	24	and	and	CCONJ
alkej-905	169	25	theoretical	theoretical	ADJ
alkej-905	169	26	results	result	NOUN
alkej-905	169	27	from	from	ADP
alkej-905	169	28	(	(	PUNCT
alkej-905	169	29	equation	equation	NOUN
alkej-905	169	30	15	15	NUM
alkej-905	169	31	)	)	PUNCT
alkej-905	169	32	for	for	ADP
alkej-905	169	33	sample	sample	NOUN
alkej-905	169	34	5052	5052	NUM
alkej-905	169	35	,	,	PUNCT
alkej-905	169	36	in	in	ADP
alkej-905	169	37	which	which	PRON
alkej-905	169	38	the	the	DET
alkej-905	169	39	pre	pre	ADJ
alkej-905	169	40	-	-	ADJ
alkej-905	169	41	prepared	prepared	ADJ
alkej-905	169	42	crack	crack	NOUN
alkej-905	169	43	begins	begin	VERB
alkej-905	169	44	to	to	PART
alkej-905	169	45	grow	grow	VERB
alkej-905	169	46	at	at	ADP
alkej-905	169	47	100,000	100,000	NUM
alkej-905	169	48	cycles	cycle	NOUN
alkej-905	169	49	shows	show	VERB
alkej-905	169	50	that	that	SCONJ
alkej-905	169	51	initially	initially	ADV
alkej-905	169	52	,	,	PUNCT
alkej-905	169	53	the	the	DET
alkej-905	169	54	results	result	NOUN
alkej-905	169	55	are	be	AUX
alkej-905	169	56	close	close	ADJ
alkej-905	169	57	,	,	PUNCT
alkej-905	169	58	reaching	reach	VERB
alkej-905	169	59	a	a	DET
alkej-905	169	60	length	length	NOUN
alkej-905	169	61	of	of	ADP
alkej-905	169	62	7	7	NUM
alkej-905	169	63	mm	mm	NUM
alkej-905	169	64	195,000	195,000	NUM
alkej-905	169	65	cycles	cycle	NOUN
alkej-905	169	66	.	.	PUNCT
alkej-905	170	1	at	at	ADP
alkej-905	170	2	a	a	DET
alkej-905	170	3	length	length	NOUN
alkej-905	170	4	of	of	ADP
alkej-905	170	5	14	14	NUM
alkej-905	170	6	mm	mm	NOUN
alkej-905	170	7	,	,	PUNCT
alkej-905	170	8	the	the	DET
alkej-905	170	9	crack	crack	NOUN
alkej-905	170	10	begins	begin	VERB
alkej-905	170	11	to	to	PART
alkej-905	170	12	increase	increase	VERB
alkej-905	170	13	in	in	ADP
alkej-905	170	14	growth	growth	NOUN
alkej-905	170	15	velocity	velocity	NOUN
alkej-905	170	16	,	,	PUNCT
alkej-905	170	17	indicating	indicate	VERB
alkej-905	170	18	that	that	SCONJ
alkej-905	170	19	it	it	PRON
alkej-905	170	20	has	have	AUX
alkej-905	170	21	reached	reach	VERB
alkej-905	170	22	the	the	DET
alkej-905	170	23	instability	instability	NOUN
alkej-905	170	24	stage	stage	NOUN
alkej-905	170	25	.	.	PUNCT
alkej-905	171	1	fig	fig	NOUN
alkej-905	171	2	.	.	PUNCT
alkej-905	172	1	10	10	NUM
alkej-905	172	2	shows	show	VERB
alkej-905	172	3	that	that	SCONJ
alkej-905	172	4	the	the	DET
alkej-905	172	5	general	general	ADJ
alkej-905	172	6	crack	crack	NOUN
alkej-905	172	7	growth	growth	NOUN
alkej-905	172	8	rates	rate	NOUN
alkej-905	172	9	were	be	AUX
alkej-905	172	10	0.0006	0.0006	NUM
alkej-905	172	11	and	and	CCONJ
alkej-905	172	12	0.000633	0.000633	NUM
alkej-905	172	13	)	)	PUNCT
alkej-905	172	14	mm	mm	PROPN
alkej-905	172	15	/	/	SYM
alkej-905	172	16	s	s	PROPN
alkej-905	172	17	for	for	ADP
alkej-905	172	18	the	the	DET
alkej-905	172	19	experimental	experimental	ADJ
alkej-905	172	20	and	and	CCONJ
alkej-905	172	21	theoretical	theoretical	ADJ
alkej-905	172	22	results	result	NOUN
alkej-905	172	23	from	from	ADP
alkej-905	172	24	(	(	PUNCT
alkej-905	172	25	equation	equation	NOUN
alkej-905	172	26	15	15	NUM
alkej-905	172	27	)	)	PUNCT
alkej-905	172	28	.	.	PUNCT
alkej-905	173	1	.n	.n	PROPN
alkej-905	173	2	)	)	PUNCT
alkej-905	174	1	for	for	ADP
alkej-905	174	2	alloy	alloy	NOUN
alkej-905	174	3	6061	6061	NUM
alkej-905	174	4	-	-	PUNCT
alkej-905	174	5	esults	esult	NOUN
alkej-905	174	6	in	in	ADP
alkej-905	174	7	(	(	PUNCT
alkej-905	174	8	arfig	arfig	ADJ
alkej-905	174	9	.	.	PUNCT
alkej-905	174	10	11	11	NUM
alkej-905	174	11	.	.	X
alkej-905	175	1	for	for	ADP
alkej-905	175	2	sample	sample	NOUN
alkej-905	175	3	6061	6061	NUM
alkej-905	175	4	,	,	PUNCT
alkej-905	175	5	the	the	DET
alkej-905	175	6	number	number	NOUN
alkej-905	175	7	of	of	ADP
alkej-905	175	8	cycles	cycle	NOUN
alkej-905	175	9	(	(	PUNCT
alkej-905	175	10	n	n	CCONJ
alkej-905	175	11	)	)	PUNCT
alkej-905	175	12	and	and	CCONJ
alkej-905	175	13	the	the	DET
alkej-905	175	14	length	length	NOUN
alkej-905	175	15	of	of	ADP
alkej-905	175	16	the	the	DET
alkej-905	175	17	crack	crack	NOUN
alkej-905	175	18	(	(	PUNCT
alkej-905	175	19	a	a	X
alkej-905	175	20	)	)	PUNCT
alkej-905	175	21	formed	form	VERB
alkej-905	175	22	for	for	ADP
alkej-905	175	23	the	the	DET
alkej-905	175	24	experimental	experimental	ADJ
alkej-905	175	25	and	and	CCONJ
alkej-905	175	26	theoretical	theoretical	ADJ
alkej-905	175	27	results	result	NOUN
alkej-905	175	28	from	from	ADP
alkej-905	175	29	equation	equation	NOUN
alkej-905	175	30	15	15	NUM
alkej-905	175	31	where	where	SCONJ
alkej-905	175	32	the	the	DET
alkej-905	175	33	crack	crack	NOUN
alkej-905	175	34	of	of	ADP
alkej-905	175	35	initiation	initiation	NOUN
alkej-905	175	36	was	be	AUX
alkej-905	175	37	at	at	ADP
alkej-905	175	38	250000	250000	NUM
alkej-905	175	39	cycles	cycle	NOUN
alkej-905	175	40	.	.	PUNCT
alkej-905	176	1	the	the	DET
alkej-905	176	2	results	result	NOUN
alkej-905	176	3	are	be	AUX
alkej-905	176	4	close	close	ADJ
alkej-905	176	5	,	,	PUNCT
alkej-905	176	6	and	and	CCONJ
alkej-905	176	7	the	the	DET
alkej-905	176	8	length	length	NOUN
alkej-905	176	9	of	of	ADP
alkej-905	176	10	10	10	NUM
alkej-905	176	11	mm	mm	NOUN
alkej-905	176	12	was	be	AUX
alkej-905	176	13	reached	reach	VERB
alkej-905	176	14	when	when	SCONJ
alkej-905	176	15	the	the	DET
alkej-905	176	16	number	number	NOUN
alkej-905	176	17	of	of	ADP
alkej-905	176	18	cycles	cycle	NOUN
alkej-905	176	19	of	of	ADP
alkej-905	176	20	1075,000	1075,000	NUM
alkej-905	176	21	cycles	cycle	NOUN
alkej-905	176	22	.	.	PUNCT
alkej-905	177	1	figure	figure	NOUN
alkej-905	177	2	11	11	NUM
alkej-905	177	3	shows	show	VERB
alkej-905	177	4	that	that	SCONJ
alkej-905	177	5	at	at	ADP
alkej-905	177	6	the	the	DET
alkej-905	177	7	length	length	NOUN
alkej-905	177	8	of	of	ADP
alkej-905	177	9	18	18	NUM
alkej-905	177	10	mm	mm	NOUN
alkej-905	177	11	,	,	PUNCT
alkej-905	177	12	the	the	DET
alkej-905	177	13	crack	crack	NOUN
alkej-905	177	14	begins	begin	VERB
alkej-905	177	15	to	to	PART
alkej-905	177	16	increase	increase	VERB
alkej-905	177	17	in	in	ADP
alkej-905	177	18	the	the	DET
alkej-905	177	19	growth	growth	NOUN
alkej-905	177	20	velocity	velocity	NOUN
alkej-905	177	21	,	,	PUNCT
alkej-905	177	22	indicating	indicate	VERB
alkej-905	177	23	that	that	SCONJ
alkej-905	177	24	it	it	PRON
alkej-905	177	25	has	have	AUX
alkej-905	177	26	entered	enter	VERB
alkej-905	177	27	the	the	DET
alkej-905	177	28	instability	instability	NOUN
alkej-905	177	29	stage	stage	NOUN
alkej-905	177	30	.	.	PUNCT
alkej-905	178	1	the	the	DET
alkej-905	178	2	general	general	ADJ
alkej-905	178	3	crack	crack	NOUN
alkej-905	178	4	growth	growth	NOUN
alkej-905	178	5	rates	rate	NOUN
alkej-905	178	6	were	be	AUX
alkej-905	178	7	(	(	PUNCT
alkej-905	178	8	0.000183	0.000183	NUM
alkej-905	178	9	and	and	CCONJ
alkej-905	178	10	0.000222	0.000222	NUM
alkej-905	178	11	mm	mm	NOUN
alkej-905	178	12	/	/	SYM
alkej-905	178	13	s	s	PROPN
alkej-905	178	14	for	for	ADP
alkej-905	178	15	the	the	DET
alkej-905	178	16	experimental	experimental	ADJ
alkej-905	178	17	and	and	CCONJ
alkej-905	178	18	theoretical	theoretical	ADJ
alkej-905	178	19	results	result	NOUN
alkej-905	178	20	from	from	ADP
alkej-905	178	21	(	(	PUNCT
alkej-905	178	22	equation	equation	NOUN
alkej-905	178	23	15	15	NUM
alkej-905	178	24	)	)	PUNCT
alkej-905	178	25	.	.	PUNCT
alkej-905	179	1	n	n	CCONJ
alkej-905	179	2	)	)	PUNCT
alkej-905	180	1	for	for	ADP
alkej-905	180	2	alloys	alloy	NOUN
alkej-905	180	3	6061	6061	NUM
alkej-905	180	4	-(a	-(a	SYM
alkej-905	180	5	ofs	ofs	PROPN
alkej-905	180	6	xperimental	xperimental	PROPN
alkej-905	180	7	resultefig	resultefig	PROPN
alkej-905	180	8	.	.	PUNCT
alkej-905	181	1	12	12	NUM
alkej-905	181	2	.	.	PUNCT
alkej-905	182	1	.and	.and	PROPN
alkej-905	182	2	5052	5052	NUM
alkej-905	183	1	the	the	DET
alkej-905	183	2	m	m	NOUN
alkej-905	183	3	and	and	CCONJ
alkej-905	183	4	c	c	NOUN
alkej-905	183	5	values	value	NOUN
alkej-905	183	6	of	of	ADP
alkej-905	183	7	the	the	DET
alkej-905	183	8	paris	paris	PROPN
alkej-905	183	9	equation	equation	NOUN
alkej-905	183	10	[	[	X
alkej-905	183	11	25	25	NUM
alkej-905	183	12	]	]	PUNCT
alkej-905	183	13	were	be	AUX
alkej-905	183	14	extracted	extract	VERB
alkej-905	183	15	experimentally	experimentally	ADV
alkej-905	183	16	and	and	CCONJ
alkej-905	183	17	analytically	analytically	ADV
alkej-905	183	18	using	use	VERB
alkej-905	183	19	the	the	DET
alkej-905	183	20	log	log	NOUN
alkej-905	183	21	plot	plot	NOUN
alkej-905	183	22	method	method	NOUN
alkej-905	183	23	,	,	PUNCT
alkej-905	183	24	where	where	SCONJ
alkej-905	183	25	the	the	DET
alkej-905	183	26	value	value	NOUN
alkej-905	183	27	of	of	ADP
alkej-905	183	28	c	c	PROPN
alkej-905	183	29	is	be	AUX
alkej-905	183	30	(	(	PUNCT
alkej-905	183	31	8.5113	8.5113	NUM
alkej-905	183	32	*	*	SYM
alkej-905	183	33	10	10	NUM
alkej-905	183	34	-	-	SYM
alkej-905	183	35	7	7	NUM
alkej-905	183	36	,	,	PUNCT
alkej-905	183	37	6.309	6.309	NUM
alkej-905	183	38	*	*	SYM
alkej-905	183	39	10	10	NUM
alkej-905	183	40	-	-	SYM
alkej-905	183	41	7	7	NUM
alkej-905	183	42	)	)	PUNCT
alkej-905	183	43	(	(	PUNCT
alkej-905	183	44	mm	mm	PROPN
alkej-905	183	45	cycle⁄	cycle⁄	PROPN
alkej-905	183	46	)	)	PUNCT
alkej-905	183	47	(	(	PUNCT
alkej-905	183	48	𝑀𝑃𝑎√𝑚)⁄	𝑀𝑃𝑎√𝑚)⁄	PROPN
alkej-905	183	49	and	and	CCONJ
alkej-905	183	50	m	m	PROPN
alkej-905	183	51	is	be	AUX
alkej-905	183	52	(	(	PUNCT
alkej-905	183	53	2.3571	2.3571	NUM
alkej-905	183	54	,	,	PUNCT
alkej-905	183	55	2.428	2.428	NUM
alkej-905	183	56	)	)	PUNCT
alkej-905	183	57	for	for	ADP
alkej-905	183	58	alloy	alloy	NOUN
alkej-905	183	59	6061	6061	NUM
alkej-905	183	60	,	,	PUNCT
alkej-905	183	61	while	while	SCONJ
alkej-905	183	62	the	the	DET
alkej-905	183	63	value	value	NOUN
alkej-905	183	64	of	of	ADP
alkej-905	183	65	c	c	PROPN
alkej-905	183	66	is	be	AUX
alkej-905	183	67	(	(	PUNCT
alkej-905	183	68	2.958	2.958	NUM
alkej-905	183	69	*	*	SYM
alkej-905	183	70	10	10	NUM
alkej-905	183	71	-	-	SYM
alkej-905	183	72	6	6	NUM
alkej-905	183	73	,	,	PUNCT
alkej-905	183	74	4.6773	4.6773	NUM
alkej-905	183	75	*	*	SYM
alkej-905	183	76	10	10	NUM
alkej-905	183	77	-	-	SYM
alkej-905	183	78	6	6	NUM
alkej-905	183	79	)	)	PUNCT
alkej-905	183	80	(	(	PUNCT
alkej-905	183	81	mm	mm	PROPN
alkej-905	183	82	cycle⁄	cycle⁄	PROPN
alkej-905	183	83	)	)	PUNCT
alkej-905	183	84	(	(	PUNCT
alkej-905	183	85	𝑀𝑃𝑎√𝑚)⁄	𝑀𝑃𝑎√𝑚)⁄	PROPN
alkej-905	183	86	and	and	CCONJ
alkej-905	183	87	m	m	PROPN
alkej-905	183	88	is	be	AUX
alkej-905	183	89	(	(	PUNCT
alkej-905	183	90	2.056	2.056	NUM
alkej-905	183	91	,	,	PUNCT
alkej-905	183	92	1.6609	1.6609	NUM
alkej-905	183	93	)	)	PUNCT
alkej-905	183	94	for	for	ADP
alkej-905	183	95	alloy	alloy	NOUN
alkej-905	183	96	5052	5052	NUM
alkej-905	183	97	.	.	PUNCT
alkej-905	184	1	results	result	NOUN
alkej-905	184	2	for	for	ADP
alkej-905	184	3	the	the	DET
alkej-905	184	4	xperimental	xperimental	PROPN
alkej-905	184	5	and	and	CCONJ
alkej-905	184	6	theoreticalefig	theoreticalefig	NOUN
alkej-905	184	7	.	.	PUNCT
alkej-905	185	1	13	13	NUM
alkej-905	185	2	.	.	X
alkej-905	186	1	alloy	alloy	NOUN
alkej-905	186	2	israa	israa	NOUN
alkej-905	186	3	abed	abe	VERB
alkej-905	186	4	alrazak	alrazak	PROPN
alkej-905	186	5	al	al	PROPN
alkej-905	186	6	-	-	PUNCT
alkej-905	186	7	khwarizmi	khwarizmi	PROPN
alkej-905	186	8	engineering	engineering	NOUN
alkej-905	186	9	journal	journal	PROPN
alkej-905	186	10	,	,	PUNCT
alkej-905	186	11	vol	vol	NOUN
alkej-905	186	12	.	.	PROPN
alkej-905	186	13	20	20	NUM
alkej-905	186	14	,	,	PUNCT
alkej-905	186	15	no.4	no.4	PROPN
alkej-905	186	16	,	,	PUNCT
alkej-905	186	17	p.p	p.p	PROPN
alkej-905	186	18	.	.	PROPN
alkej-905	186	19	58–69(2024	58–69(2024	PROPN
alkej-905	186	20	)	)	PUNCT
alkej-905	186	21	65	65	NUM
alkej-905	186	22	the	the	DET
alkej-905	186	23	crack	crack	NOUN
alkej-905	186	24	initiation	initiation	NOUN
alkej-905	186	25	for	for	ADP
alkej-905	186	26	the	the	DET
alkej-905	186	27	two	two	NUM
alkej-905	186	28	samples	sample	NOUN
alkej-905	186	29	at	at	ADP
alkej-905	186	30	100,000	100,000	NUM
alkej-905	186	31	and	and	CCONJ
alkej-905	186	32	250,000	250,000	NUM
alkej-905	186	33	cycles	cycle	NOUN
alkej-905	186	34	for	for	ADP
alkej-905	186	35	the	the	DET
alkej-905	186	36	two	two	NUM
alkej-905	186	37	samples	sample	NOUN
alkej-905	186	38	,	,	PUNCT
alkej-905	186	39	5052	5052	NUM
alkej-905	186	40	and	and	CCONJ
alkej-905	186	41	6061	6061	NUM
alkej-905	186	42	were	be	AUX
alkej-905	186	43	based	base	VERB
alkej-905	186	44	on	on	ADP
alkej-905	186	45	the	the	DET
alkej-905	186	46	experimental	experimental	ADJ
alkej-905	186	47	results	result	NOUN
alkej-905	186	48	as	as	SCONJ
alkej-905	186	49	shown	show	VERB
alkej-905	186	50	in	in	ADP
alkej-905	186	51	figs	fig	NOUN
alkej-905	186	52	.	.	PUNCT
alkej-905	187	1	(	(	PUNCT
alkej-905	187	2	10–13	10–13	NUM
alkej-905	187	3	)	)	PUNCT
alkej-905	187	4	.	.	PUNCT
alkej-905	188	1	in	in	ADP
alkej-905	188	2	contrast	contrast	NOUN
alkej-905	188	3	to	to	ADP
alkej-905	188	4	the	the	DET
alkej-905	188	5	crack	crack	NOUN
alkej-905	188	6	that	that	PRON
alkej-905	188	7	occurred	occur	VERB
alkej-905	188	8	in	in	ADP
alkej-905	188	9	sample	sample	NOUN
alkej-905	188	10	6061	6061	NUM
alkej-905	188	11	,	,	PUNCT
alkej-905	188	12	which	which	PRON
alkej-905	188	13	could	could	AUX
alkej-905	188	14	be	be	AUX
alkej-905	188	15	difficult	difficult	ADJ
alkej-905	188	16	to	to	PART
alkej-905	188	17	observe	observe	VERB
alkej-905	188	18	with	with	ADP
alkej-905	188	19	the	the	DET
alkej-905	188	20	naked	naked	ADJ
alkej-905	188	21	eye	eye	NOUN
alkej-905	188	22	because	because	SCONJ
alkej-905	188	23	of	of	ADP
alkej-905	188	24	the	the	DET
alkej-905	188	25	molecular	molecular	ADJ
alkej-905	188	26	characteristics	characteristic	NOUN
alkej-905	188	27	of	of	ADP
alkej-905	188	28	the	the	DET
alkej-905	188	29	material	material	NOUN
alkej-905	188	30	,	,	PUNCT
alkej-905	188	31	the	the	DET
alkej-905	188	32	shape	shape	NOUN
alkej-905	188	33	of	of	ADP
alkej-905	188	34	the	the	DET
alkej-905	188	35	crack	crack	NOUN
alkej-905	188	36	in	in	ADP
alkej-905	188	37	sample	sample	NOUN
alkej-905	188	38	5052	5052	NUM
alkej-905	188	39	–	–	PUNCT
alkej-905	188	40	aa	aa	PROPN
alkej-905	188	41	was	be	AUX
alkej-905	188	42	often	often	ADV
alkej-905	188	43	plainly	plainly	ADV
alkej-905	188	44	apparent	apparent	ADJ
alkej-905	188	45	and	and	CCONJ
alkej-905	188	46	contains	contain	VERB
alkej-905	188	47	simple	simple	ADJ
alkej-905	188	48	granular	granular	ADJ
alkej-905	188	49	zigzags	zigzag	NOUN
alkej-905	188	50	.	.	PUNCT
alkej-905	188	51	fig	fig	NOUN
alkej-905	188	52	.	.	PUNCT
alkej-905	189	1	14	14	NUM
alkej-905	189	2	.	.	PUNCT
alkej-905	190	1	crack	crack	VERB
alkej-905	190	2	propagation	propagation	NOUN
alkej-905	190	3	in	in	ADP
alkej-905	190	4	alloys	alloy	NOUN
alkej-905	190	5	experimentally	experimentally	ADV
alkej-905	190	6	:	:	PUNCT
alkej-905	190	7	a.	a.	NOUN
alkej-905	190	8	alloy	alloy	NOUN
alkej-905	190	9	5052	5052	NUM
alkej-905	190	10	-	-	PUNCT
alkej-905	190	11	aa	aa	NOUN
alkej-905	190	12	;	;	PUNCT
alkej-905	190	13	b.	b.	PROPN
alkej-905	190	14	alloy	alloy	NOUN
alkej-905	190	15	6061	6061	NUM
alkej-905	190	16	-	-	NOUN
alkej-905	190	17	aa	aa	NOUN
alkej-905	190	18	in	in	ADP
alkej-905	190	19	contrast	contrast	NOUN
alkej-905	190	20	,	,	PUNCT
alkej-905	190	21	the	the	DET
alkej-905	190	22	crack	crack	NOUN
alkej-905	190	23	that	that	PRON
alkej-905	190	24	formed	form	VERB
alkej-905	190	25	in	in	ADP
alkej-905	190	26	sample	sample	NOUN
alkej-905	190	27	6061	6061	NUM
alkej-905	190	28	was	be	AUX
alkej-905	190	29	difficult	difficult	ADJ
alkej-905	190	30	to	to	PART
alkej-905	190	31	notice	notice	VERB
alkej-905	190	32	with	with	ADP
alkej-905	190	33	the	the	DET
alkej-905	190	34	naked	naked	ADJ
alkej-905	190	35	eye	eye	NOUN
alkej-905	190	36	,	,	PUNCT
alkej-905	190	37	as	as	SCONJ
alkej-905	190	38	shown	show	VERB
alkej-905	190	39	in	in	ADP
alkej-905	190	40	fig	fig	NOUN
alkej-905	190	41	.	.	PUNCT
alkej-905	191	1	14	14	NUM
alkej-905	191	2	.	.	PUNCT
alkej-905	192	1	initially	initially	ADV
alkej-905	192	2	,	,	PUNCT
alkej-905	192	3	an	an	DET
alkej-905	192	4	agreement	agreement	NOUN
alkej-905	192	5	in	in	ADP
alkej-905	192	6	the	the	DET
alkej-905	192	7	prediction	prediction	NOUN
alkej-905	192	8	of	of	ADP
alkej-905	192	9	the	the	DET
alkej-905	192	10	findings	finding	NOUN
alkej-905	192	11	could	could	AUX
alkej-905	192	12	be	be	AUX
alkej-905	192	13	observed	observe	VERB
alkej-905	192	14	and	and	CCONJ
alkej-905	192	15	used	use	VERB
alkej-905	192	16	to	to	PART
alkej-905	192	17	examine	examine	VERB
alkej-905	192	18	the	the	DET
alkej-905	192	19	relation	relation	NOUN
alkej-905	192	20	between	between	ADP
alkej-905	192	21	the	the	DET
alkej-905	192	22	length	length	NOUN
alkej-905	192	23	of	of	ADP
alkej-905	192	24	the	the	DET
alkej-905	192	25	crack	crack	NOUN
alkej-905	192	26	and	and	CCONJ
alkej-905	192	27	the	the	DET
alkej-905	192	28	number	number	NOUN
alkej-905	192	29	of	of	ADP
alkej-905	192	30	cycles	cycle	NOUN
alkej-905	192	31	.	.	PUNCT
alkej-905	193	1	when	when	SCONJ
alkej-905	193	2	the	the	DET
alkej-905	193	3	results	result	NOUN
alkej-905	193	4	are	be	AUX
alkej-905	193	5	compared	compare	VERB
alkej-905	193	6	with	with	ADP
alkej-905	193	7	the	the	DET
alkej-905	193	8	analysis	analysis	NOUN
alkej-905	193	9	using	use	VERB
alkej-905	193	10	the	the	DET
alkej-905	193	11	mathematical	mathematical	ADJ
alkej-905	193	12	model	model	NOUN
alkej-905	193	13	delivered	deliver	VERB
alkej-905	193	14	to	to	PART
alkej-905	193	15	fit	fit	VERB
alkej-905	193	16	into	into	ADP
alkej-905	193	17	the	the	DET
alkej-905	193	18	mixed	mixed	ADJ
alkej-905	193	19	mode	mode	NOUN
alkej-905	193	20	i	i	PROPN
alkej-905	193	21	/	/	SYM
alkej-905	193	22	ii	ii	PROPN
alkej-905	193	23	non	non	ADJ
alkej-905	193	24	-	-	ADJ
alkej-905	193	25	proportional	proportional	ADJ
alkej-905	193	26	loading	loading	NOUN
alkej-905	193	27	applied	apply	VERB
alkej-905	193	28	on	on	ADP
alkej-905	193	29	the	the	DET
alkej-905	193	30	sample	sample	NOUN
alkej-905	193	31	,	,	PUNCT
alkej-905	193	32	figs	fig	NOUN
alkej-905	193	33	.	.	PUNCT
alkej-905	194	1	15	15	NUM
alkej-905	194	2	and	and	CCONJ
alkej-905	194	3	16	16	NUM
alkej-905	194	4	show	show	VERB
alkej-905	194	5	the	the	DET
alkej-905	194	6	stages	stage	NOUN
alkej-905	194	7	of	of	ADP
alkej-905	194	8	crack	crack	NOUN
alkej-905	194	9	growth	growth	NOUN
alkej-905	194	10	in	in	ADP
alkej-905	194	11	the	the	DET
alkej-905	194	12	samples	sample	NOUN
alkej-905	194	13	.aa	.aa	PUNCT
alkej-905	194	14	-	-	PUNCT
alkej-905	194	15	fig	fig	NOUN
alkej-905	194	16	.	.	PUNCT
alkej-905	195	1	15	15	NUM
alkej-905	195	2	.	.	X
alkej-905	195	3	crack	crack	VERB
alkej-905	195	4	growth	growth	NOUN
alkej-905	195	5	steps	step	NOUN
alkej-905	195	6	in	in	ADP
alkej-905	195	7	5052	5052	NUM
alkej-905	195	8	.aa	.aa	PUNCT
alkej-905	195	9	-	-	PUNCT
alkej-905	195	10	fig	fig	NOUN
alkej-905	195	11	.	.	PUNCT
alkej-905	196	1	16	16	NUM
alkej-905	196	2	.	.	PUNCT
alkej-905	197	1	crack	crack	VERB
alkej-905	197	2	growth	growth	NOUN
alkej-905	197	3	steps	step	NOUN
alkej-905	197	4	in	in	ADP
alkej-905	197	5	6061	6061	NUM
alkej-905	197	6	when	when	SCONJ
alkej-905	197	7	the	the	DET
alkej-905	197	8	number	number	NOUN
alkej-905	197	9	of	of	ADP
alkej-905	197	10	cycles	cycle	NOUN
alkej-905	197	11	is	be	AUX
alkej-905	197	12	increased	increase	VERB
alkej-905	197	13	,	,	PUNCT
alkej-905	197	14	a	a	DET
alkej-905	197	15	difference	difference	NOUN
alkej-905	197	16	can	can	AUX
alkej-905	197	17	be	be	AUX
alkej-905	197	18	observed	observe	VERB
alkej-905	197	19	between	between	ADP
alkej-905	197	20	the	the	DET
alkej-905	197	21	experimental	experimental	ADJ
alkej-905	197	22	and	and	CCONJ
alkej-905	197	23	theoretical	theoretical	ADJ
alkej-905	197	24	curves	curve	NOUN
alkej-905	197	25	.	.	PUNCT
alkej-905	198	1	the	the	DET
alkej-905	198	2	reason	reason	NOUN
alkej-905	198	3	for	for	ADP
alkej-905	198	4	this	this	DET
alkej-905	198	5	difference	difference	NOUN
alkej-905	198	6	is	be	AUX
alkej-905	198	7	due	due	ADJ
alkej-905	198	8	to	to	ADP
alkej-905	198	9	the	the	DET
alkej-905	198	10	nature	nature	NOUN
alkej-905	198	11	of	of	ADP
alkej-905	198	12	the	the	DET
alkej-905	198	13	material	material	NOUN
alkej-905	198	14	[	[	X
alkej-905	198	15	26	26	NUM
alkej-905	198	16	]	]	PUNCT
alkej-905	198	17	in	in	ADP
alkej-905	198	18	the	the	DET
alkej-905	198	19	experimental	experimental	ADJ
alkej-905	198	20	test	test	NOUN
alkej-905	198	21	;	;	PUNCT
alkej-905	198	22	the	the	DET
alkej-905	198	23	material	material	NOUN
alkej-905	198	24	used	use	VERB
alkej-905	198	25	was	be	AUX
alkej-905	198	26	a	a	DET
alkej-905	198	27	commercial	commercial	ADJ
alkej-905	198	28	material	material	NOUN
alkej-905	198	29	intended	intend	VERB
alkej-905	198	30	to	to	PART
alkej-905	198	31	examine	examine	VERB
alkej-905	198	32	normal	normal	ADJ
alkej-905	198	33	behaviour	behaviour	NOUN
alkej-905	198	34	when	when	SCONJ
alkej-905	198	35	cracking	cracking	NOUN
alkej-905	198	36	occurs	occur	VERB
alkej-905	198	37	in	in	ADP
alkej-905	198	38	the	the	DET
alkej-905	198	39	structures	structure	NOUN
alkej-905	198	40	and	and	CCONJ
alkej-905	198	41	mechanical	mechanical	ADJ
alkej-905	198	42	parts	part	NOUN
alkej-905	198	43	.	.	PUNCT
alkej-905	199	1	it	it	PRON
alkej-905	199	2	is	be	AUX
alkej-905	199	3	not	not	PART
alkej-905	199	4	a	a	DET
alkej-905	199	5	standard	standard	ADJ
alkej-905	199	6	alloy	alloy	NOUN
alkej-905	199	7	(	(	PUNCT
alkej-905	199	8	because	because	SCONJ
alkej-905	199	9	of	of	ADP
alkej-905	199	10	the	the	DET
alkej-905	199	11	presence	presence	NOUN
alkej-905	199	12	of	of	ADP
alkej-905	199	13	impurities	impurity	NOUN
alkej-905	199	14	and	and	CCONJ
alkej-905	199	15	the	the	DET
alkej-905	199	16	granular	granular	ADJ
alkej-905	199	17	structure	structure	NOUN
alkej-905	199	18	of	of	ADP
alkej-905	199	19	the	the	DET
alkej-905	199	20	material	material	NOUN
alkej-905	199	21	)	)	PUNCT
alkej-905	199	22	.	.	PUNCT
alkej-905	200	1	moreover	moreover	ADV
alkej-905	200	2	,	,	PUNCT
alkej-905	200	3	despite	despite	SCONJ
alkej-905	200	4	the	the	DET
alkej-905	200	5	vibration	vibration	NOUN
alkej-905	200	6	being	be	AUX
alkej-905	200	7	basic	basic	ADJ
alkej-905	200	8	[	[	X
alkej-905	200	9	23	23	NUM
alkej-905	200	10	]	]	PUNCT
alkej-905	200	11	,	,	PUNCT
alkej-905	200	12	it	it	PRON
alkej-905	200	13	can	can	AUX
alkej-905	200	14	influence	influence	VERB
alkej-905	200	15	the	the	DET
alkej-905	200	16	spread	spread	NOUN
alkej-905	200	17	because	because	SCONJ
alkej-905	200	18	it	it	PRON
alkej-905	200	19	is	be	AUX
alkej-905	200	20	created	create	VERB
alkej-905	200	21	by	by	ADP
alkej-905	200	22	the	the	DET
alkej-905	200	23	device	device	NOUN
alkej-905	200	24	when	when	SCONJ
alkej-905	200	25	it	it	PRON
alkej-905	200	26	rotates	rotate	VERB
alkej-905	200	27	at	at	ADP
alkej-905	200	28	a	a	DET
alkej-905	200	29	high	high	ADJ
alkej-905	200	30	speed	speed	NOUN
alkej-905	200	31	and	and	CCONJ
alkej-905	200	32	the	the	DET
alkej-905	200	33	test	test	NOUN
alkej-905	200	34	temperature	temperature	NOUN
alkej-905	200	35	.	.	PUNCT
alkej-905	201	1	5	5	X
alkej-905	201	2	.	.	X
alkej-905	201	3	conclusion	conclusion	NOUN
alkej-905	201	4			NOUN
alkej-905	202	1	the	the	DET
alkej-905	202	2	experimental	experimental	ADJ
alkej-905	202	3	results	result	NOUN
alkej-905	202	4	are	be	AUX
alkej-905	202	5	consistent	consistent	ADJ
alkej-905	202	6	with	with	ADP
alkej-905	202	7	the	the	DET
alkej-905	202	8	mathematical	mathematical	ADJ
alkej-905	202	9	model	model	NOUN
alkej-905	202	10	developed	develop	VERB
alkej-905	202	11	for	for	ADP
alkej-905	202	12	the	the	DET
alkej-905	202	13	research	research	NOUN
alkej-905	202	14	.	.	PUNCT
alkej-905	203	1	the	the	DET
alkej-905	203	2	estimate	estimate	NOUN
alkej-905	203	3	of	of	ADP
alkej-905	203	4	a	a	DET
alkej-905	203	5	crack	crack	NOUN
alkej-905	203	6	growing	grow	VERB
alkej-905	203	7	in	in	ADP
alkej-905	203	8	the	the	DET
alkej-905	203	9	material	material	NOUN
alkej-905	203	10	at	at	ADP
alkej-905	203	11	the	the	DET
alkej-905	203	12	beginning	beginning	NOUN
alkej-905	203	13	of	of	ADP
alkej-905	203	14	the	the	DET
alkej-905	203	15	chart	chart	NOUN
alkej-905	203	16	indicates	indicate	VERB
alkej-905	203	17	the	the	DET
alkej-905	203	18	connection	connection	NOUN
alkej-905	203	19	between	between	ADP
alkej-905	203	20	the	the	DET
alkej-905	203	21	length	length	NOUN
alkej-905	203	22	of	of	ADP
alkej-905	203	23	the	the	DET
alkej-905	203	24	fracture	fracture	NOUN
alkej-905	203	25	and	and	CCONJ
alkej-905	203	26	the	the	DET
alkej-905	203	27	number	number	NOUN
alkej-905	203	28	of	of	ADP
alkej-905	203	29	cycles	cycle	NOUN
alkej-905	203	30	.	.	PUNCT
alkej-905	204	1			PRON
alkej-905	205	1	it	it	PRON
alkej-905	205	2	was	be	AUX
alkej-905	205	3	shown	show	VERB
alkej-905	205	4	from	from	ADP
alkej-905	205	5	the	the	DET
alkej-905	205	6	procedures	procedure	NOUN
alkej-905	205	7	of	of	ADP
alkej-905	205	8	studying	study	VERB
alkej-905	205	9	experimental	experimental	ADJ
alkej-905	205	10	fatigue	fatigue	NOUN
alkej-905	205	11	test	test	NOUN
alkej-905	205	12	methods	method	NOUN
alkej-905	205	13	for	for	ADP
alkej-905	205	14	cyclic	cyclic	ADJ
alkej-905	205	15	loads	load	NOUN
alkej-905	205	16	on	on	ADP
alkej-905	205	17	materials	material	NOUN
alkej-905	205	18	that	that	SCONJ
alkej-905	205	19	the	the	DET
alkej-905	205	20	initiation	initiation	NOUN
alkej-905	205	21	of	of	ADP
alkej-905	205	22	crack	crack	NOUN
alkej-905	205	23	for	for	ADP
alkej-905	205	24	sample	sample	NOUN
alkej-905	205	25	6061	6061	NUM
alkej-905	205	26	was	be	AUX
alkej-905	205	27	larger	large	ADJ
alkej-905	205	28	than	than	ADP
alkej-905	205	29	that	that	PRON
alkej-905	205	30	for	for	ADP
alkej-905	205	31	sample	sample	NOUN
alkej-905	205	32	5052	5052	NUM
alkej-905	205	33	by	by	ADP
alkej-905	205	34	a	a	DET
alkej-905	205	35	percentage	percentage	NOUN
alkej-905	205	36	equal	equal	ADJ
alkej-905	205	37	to	to	ADP
alkej-905	205	38	60	60	NUM
alkej-905	205	39	%	%	NOUN
alkej-905	205	40	.	.	PUNCT
alkej-905	206	1			X
alkej-905	207	1	the	the	DET
alkej-905	207	2	experimental	experimental	ADJ
alkej-905	207	3	work	work	NOUN
alkej-905	207	4	shows	show	VERB
alkej-905	207	5	the	the	DET
alkej-905	207	6	rate	rate	NOUN
alkej-905	207	7	of	of	ADP
alkej-905	207	8	crack	crack	NOUN
alkej-905	207	9	growth	growth	NOUN
alkej-905	207	10	in	in	ADP
alkej-905	207	11	sample	sample	NOUN
alkej-905	207	12	6061	6061	NUM
alkej-905	207	13	aa	aa	NOUN
alkej-905	207	14	was	be	AUX
alkej-905	207	15	lower	low	ADJ
alkej-905	207	16	than	than	ADP
alkej-905	207	17	the	the	DET
alkej-905	207	18	rate	rate	NOUN
alkej-905	207	19	of	of	ADP
alkej-905	207	20	crack	crack	NOUN
alkej-905	207	21	growth	growth	NOUN
alkej-905	207	22	in	in	ADP
alkej-905	207	23	sample	sample	NOUN
alkej-905	207	24	5052	5052	NUM
alkej-905	207	25	aa	aa	NOUN
alkej-905	207	26	.	.	PUNCT
alkej-905	208	1	this	this	DET
alkej-905	208	2	finding	finding	NOUN
alkej-905	208	3	implies	imply	VERB
alkej-905	208	4	that	that	SCONJ
alkej-905	208	5	sample	sample	NOUN
alkej-905	208	6	6061	6061	NUM
alkej-905	208	7	requires	require	VERB
alkej-905	208	8	more	more	ADJ
alkej-905	208	9	time	time	NOUN
alkej-905	208	10	than	than	ADP
alkej-905	208	11	sample	sample	NOUN
alkej-905	208	12	5052	5052	NUM
alkej-905	208	13	to	to	PART
alkej-905	208	14	reach	reach	VERB
alkej-905	208	15	the	the	DET
alkej-905	208	16	failure	failure	NOUN
alkej-905	208	17	stage	stage	NOUN
alkej-905	208	18	,	,	PUNCT
alkej-905	208	19	19560	19560	NUM
alkej-905	208	20	sec	sec	PROPN
alkej-905	208	21	sec	sec	PROPN
alkej-905	208	22	19200	19200	NUM
alkej-905	208	23	sec	sec	PROPN
alkej-905	208	24	17400	17400	NUM
alkej-905	208	25	sec	sec	PROPN
alkej-905	208	26	16500	16500	NUM
alkej-905	208	27	sec	sec	PROPN
alkej-905	208	28	13320	13320	NUM
alkej-905	208	29	sec	sec	PROPN
alkej-905	208	30	11220	11220	NUM
alkej-905	208	31	15000	15000	NUM
alkej-905	208	32	sec	sec	PROPN
alkej-905	208	33	sec	sec	PROPN
alkej-905	208	34	sec	sec	PROPN
alkej-905	208	35	46200	46200	NUM
alkej-905	208	36	64800	64800	NUM
alkej-905	208	37	sec	sec	PROPN
alkej-905	208	38	82200	82200	NUM
alkej-905	208	39	sec	sec	PROPN
alkej-905	208	40	102000	102000	NUM
alkej-905	208	41	sec	sec	PROPN
alkej-905	208	42	israa	israa	NOUN
alkej-905	208	43	abed	abe	VERB
alkej-905	208	44	alrazak	alrazak	PROPN
alkej-905	208	45	al	al	PROPN
alkej-905	208	46	-	-	PUNCT
alkej-905	208	47	khwarizmi	khwarizmi	PROPN
alkej-905	208	48	engineering	engineering	NOUN
alkej-905	208	49	journal	journal	PROPN
alkej-905	208	50	,	,	PUNCT
alkej-905	208	51	vol	vol	NOUN
alkej-905	208	52	.	.	PROPN
alkej-905	208	53	20	20	NUM
alkej-905	208	54	,	,	PUNCT
alkej-905	208	55	no.4	no.4	PROPN
alkej-905	208	56	,	,	PUNCT
alkej-905	208	57	p.p	p.p	PROPN
alkej-905	208	58	.	.	PROPN
alkej-905	208	59	58–69(2024	58–69(2024	PROPN
alkej-905	208	60	)	)	PUNCT
alkej-905	208	61	66	66	NUM
alkej-905	208	62	also	also	ADV
alkej-905	208	63	known	know	VERB
alkej-905	208	64	as	as	ADP
alkej-905	208	65	mechanical	mechanical	ADJ
alkej-905	208	66	fracture	fracture	NOUN
alkej-905	208	67	,	,	PUNCT
alkej-905	208	68	with	with	ADP
alkej-905	208	69	a	a	DET
alkej-905	208	70	percentage	percentage	NOUN
alkej-905	208	71	of	of	ADP
alkej-905	208	72	75.03	75.03	NUM
alkej-905	208	73	%	%	NOUN
alkej-905	208	74	.	.	PUNCT
alkej-905	209	1			PROPN
alkej-905	209	2	based	base	VERB
alkej-905	209	3	on	on	ADP
alkej-905	209	4	the	the	DET
alkej-905	209	5	composition	composition	NOUN
alkej-905	209	6	of	of	ADP
alkej-905	209	7	the	the	DET
alkej-905	209	8	chemical	chemical	NOUN
alkej-905	209	9	properties	property	NOUN
alkej-905	209	10	of	of	ADP
alkej-905	209	11	the	the	DET
alkej-905	209	12	samples	sample	NOUN
alkej-905	209	13	and	and	CCONJ
alkej-905	209	14	the	the	DET
alkej-905	209	15	rate	rate	NOUN
alkej-905	209	16	of	of	ADP
alkej-905	209	17	crack	crack	NOUN
alkej-905	209	18	growth	growth	NOUN
alkej-905	209	19	,	,	PUNCT
alkej-905	209	20	it	it	PRON
alkej-905	209	21	can	can	AUX
alkej-905	209	22	be	be	AUX
alkej-905	209	23	inferred	infer	VERB
alkej-905	209	24	that	that	SCONJ
alkej-905	209	25	the	the	DET
alkej-905	209	26	samples	sample	NOUN
alkej-905	209	27	within	within	ADP
alkej-905	209	28	aluminium	aluminium	NOUN
alkej-905	209	29	alloy	alloy	NOUN
alkej-905	209	30	6061	6061	NUM
alkej-905	209	31	are	be	AUX
alkej-905	209	32	ductile	ductile	NOUN
alkej-905	209	33	material	material	NOUN
alkej-905	209	34	alloys	alloy	NOUN
alkej-905	209	35	with	with	ADP
alkej-905	209	36	relatively	relatively	ADV
alkej-905	209	37	small	small	ADJ
alkej-905	209	38	grain	grain	NOUN
alkej-905	209	39	size	size	NOUN
alkej-905	209	40	.	.	PUNCT
alkej-905	210	1	this	this	DET
alkej-905	210	2	characteristic	characteristic	NOUN
alkej-905	210	3	explains	explain	VERB
alkej-905	210	4	why	why	SCONJ
alkej-905	210	5	the	the	DET
alkej-905	210	6	rate	rate	NOUN
alkej-905	210	7	of	of	ADP
alkej-905	210	8	crack	crack	NOUN
alkej-905	210	9	growth	growth	NOUN
alkej-905	210	10	in	in	ADP
alkej-905	210	11	that	that	DET
alkej-905	210	12	type	type	NOUN
alkej-905	210	13	of	of	ADP
alkej-905	210	14	alloy	alloy	NOUN
alkej-905	210	15	is	be	AUX
alkej-905	210	16	slow	slow	ADJ
alkej-905	210	17	;	;	PUNCT
alkej-905	210	18	the	the	DET
alkej-905	210	19	small	small	ADJ
alkej-905	210	20	grains	grain	NOUN
alkej-905	210	21	increase	increase	VERB
alkej-905	210	22	the	the	DET
alkej-905	210	23	possibility	possibility	NOUN
alkej-905	210	24	of	of	ADP
alkej-905	210	25	crack	crack	NOUN
alkej-905	210	26	occurrence	occurrence	NOUN
alkej-905	210	27	,	,	PUNCT
alkej-905	210	28	which	which	PRON
alkej-905	210	29	,	,	PUNCT
alkej-905	210	30	in	in	ADP
alkej-905	210	31	turn	turn	NOUN
alkej-905	210	32	,	,	PUNCT
alkej-905	210	33	causes	cause	VERB
alkej-905	210	34	the	the	DET
alkej-905	210	35	rate	rate	NOUN
alkej-905	210	36	of	of	ADP
alkej-905	210	37	crack	crack	NOUN
alkej-905	210	38	growth	growth	NOUN
alkej-905	210	39	to	to	PART
alkej-905	210	40	become	become	VERB
alkej-905	210	41	slower	slow	ADJ
alkej-905	210	42	.	.	PUNCT
alkej-905	211	1	a	a	DET
alkej-905	211	2	relatively	relatively	ADV
alkej-905	211	3	plastic	plastic	ADJ
alkej-905	211	4	strain	strain	NOUN
alkej-905	211	5	between	between	ADP
alkej-905	211	6	the	the	DET
alkej-905	211	7	grains	grain	NOUN
alkej-905	211	8	,	,	PUNCT
alkej-905	211	9	in	in	ADP
alkej-905	211	10	addition	addition	NOUN
alkej-905	211	11	to	to	ADP
alkej-905	211	12	the	the	DET
alkej-905	211	13	production	production	NOUN
alkej-905	211	14	of	of	ADP
alkej-905	211	15	big	big	ADJ
alkej-905	211	16	plastic	plastic	ADJ
alkej-905	211	17	deformation	deformation	NOUN
alkej-905	211	18	in	in	ADP
alkej-905	211	19	the	the	DET
alkej-905	211	20	area	area	NOUN
alkej-905	211	21	surrounding	surround	VERB
alkej-905	211	22	the	the	DET
alkej-905	211	23	fracture	fracture	NOUN
alkej-905	211	24	in	in	ADP
alkej-905	211	25	an	an	DET
alkej-905	211	26	attempt	attempt	NOUN
alkej-905	211	27	to	to	PART
alkej-905	211	28	prevent	prevent	VERB
alkej-905	211	29	the	the	DET
alkej-905	211	30	crack	crack	NOUN
alkej-905	211	31	from	from	ADP
alkej-905	211	32	happening	happen	VERB
alkej-905	211	33	and	and	CCONJ
alkej-905	211	34	for	for	ADP
alkej-905	211	35	the	the	DET
alkej-905	211	36	same	same	ADJ
alkej-905	211	37	reason	reason	NOUN
alkej-905	211	38	,	,	PUNCT
alkej-905	211	39	may	may	AUX
alkej-905	211	40	explain	explain	VERB
alkej-905	211	41	why	why	SCONJ
alkej-905	211	42	this	this	PRON
alkej-905	211	43	would	would	AUX
alkej-905	211	44	be	be	AUX
alkej-905	211	45	the	the	DET
alkej-905	211	46	case	case	NOUN
alkej-905	211	47	.	.	PUNCT
alkej-905	212	1			X
alkej-905	213	1	in	in	ADP
alkej-905	213	2	contrast	contrast	NOUN
alkej-905	213	3	to	to	ADP
alkej-905	213	4	sample	sample	NOUN
alkej-905	213	5	5052	5052	NUM
alkej-905	213	6	,	,	PUNCT
alkej-905	213	7	which	which	PRON
alkej-905	213	8	is	be	AUX
alkej-905	213	9	defined	define	VERB
alkej-905	213	10	by	by	ADP
alkej-905	213	11	big	big	ADJ
alkej-905	213	12	grains	grain	NOUN
alkej-905	213	13	,	,	PUNCT
alkej-905	213	14	the	the	DET
alkej-905	213	15	speed	speed	NOUN
alkej-905	213	16	of	of	ADP
alkej-905	213	17	spread	spread	NOUN
alkej-905	213	18	of	of	ADP
alkej-905	213	19	the	the	DET
alkej-905	213	20	crack	crack	NOUN
alkej-905	213	21	and	and	CCONJ
alkej-905	213	22	the	the	DET
alkej-905	213	23	great	great	ADJ
alkej-905	213	24	distance	distance	NOUN
alkej-905	213	25	to	to	ADP
alkej-905	213	26	the	the	DET
alkej-905	213	27	crack	crack	NOUN
alkej-905	213	28	that	that	PRON
alkej-905	213	29	grew	grow	VERB
alkej-905	213	30	,	,	PUNCT
alkej-905	213	31	this	this	DET
alkej-905	213	32	sample	sample	NOUN
alkej-905	213	33	is	be	AUX
alkej-905	213	34	distinguished	distinguish	VERB
alkej-905	213	35	by	by	ADP
alkej-905	213	36	the	the	DET
alkej-905	213	37	type	type	NOUN
alkej-905	213	38	and	and	CCONJ
alkej-905	213	39	shape	shape	NOUN
alkej-905	213	40	of	of	ADP
alkej-905	213	41	the	the	DET
alkej-905	213	42	crack	crack	NOUN
alkej-905	213	43	that	that	PRON
alkej-905	213	44	formed	form	VERB
alkej-905	213	45	within	within	ADP
alkej-905	213	46	it	it	PRON
alkej-905	213	47	,	,	PUNCT
alkej-905	213	48	which	which	PRON
alkej-905	213	49	is	be	AUX
alkej-905	213	50	specified	specify	VERB
alkej-905	213	51	as	as	ADP
alkej-905	213	52	a	a	DET
alkej-905	213	53	brittle	brittle	ADJ
alkej-905	213	54	material	material	NOUN
alkej-905	213	55	.	.	PUNCT
alkej-905	214	1			X
alkej-905	215	1	some	some	DET
alkej-905	215	2	influencing	influence	VERB
alkej-905	215	3	variables	variable	NOUN
alkej-905	215	4	,	,	PUNCT
alkej-905	215	5	in	in	ADP
alkej-905	215	6	addition	addition	NOUN
alkej-905	215	7	to	to	ADP
alkej-905	215	8	the	the	DET
alkej-905	215	9	basic	basic	ADJ
alkej-905	215	10	nature	nature	NOUN
alkej-905	215	11	of	of	ADP
alkej-905	215	12	the	the	DET
alkej-905	215	13	alloy	alloy	NOUN
alkej-905	215	14	’s	’s	PART
alkej-905	215	15	elemental	elemental	ADJ
alkej-905	215	16	makeup	makeup	NOUN
alkej-905	215	17	,	,	PUNCT
alkej-905	215	18	are	be	AUX
alkej-905	215	19	responsible	responsible	ADJ
alkej-905	215	20	for	for	ADP
alkej-905	215	21	the	the	DET
alkej-905	215	22	difference	difference	NOUN
alkej-905	215	23	that	that	PRON
alkej-905	215	24	may	may	AUX
alkej-905	215	25	be	be	AUX
alkej-905	215	26	observed	observe	VERB
alkej-905	215	27	between	between	ADP
alkej-905	215	28	the	the	DET
alkej-905	215	29	experimental	experimental	ADJ
alkej-905	215	30	and	and	CCONJ
alkej-905	215	31	theoretical	theoretical	ADJ
alkej-905	215	32	results	result	NOUN
alkej-905	215	33	at	at	ADP
alkej-905	215	34	the	the	DET
alkej-905	215	35	end	end	NOUN
alkej-905	215	36	of	of	ADP
alkej-905	215	37	the	the	DET
alkej-905	215	38	crack	crack	NOUN
alkej-905	215	39	formation	formation	NOUN
alkej-905	215	40	process	process	NOUN
alkej-905	215	41	.	.	PUNCT
alkej-905	216	1			X
alkej-905	216	2	a	a	DET
alkej-905	216	3	comparison	comparison	NOUN
alkej-905	216	4	of	of	ADP
alkej-905	216	5	the	the	DET
alkej-905	216	6	analytical	analytical	ADJ
alkej-905	216	7	findings	finding	NOUN
alkej-905	216	8	for	for	ADP
alkej-905	216	9	alloy	alloy	NOUN
alkej-905	216	10	5052	5052	NUM
alkej-905	216	11	with	with	ADP
alkej-905	216	12	the	the	DET
alkej-905	216	13	experimental	experimental	ADJ
alkej-905	216	14	result	result	NOUN
alkej-905	216	15	indicated	indicate	VERB
alkej-905	216	16	the	the	DET
alkej-905	216	17	analytical	analytical	ADJ
alkej-905	216	18	model	model	NOUN
alkej-905	216	19	with	with	ADP
alkej-905	216	20	the	the	DET
alkej-905	216	21	error	error	NOUN
alkej-905	216	22	rate	rate	NOUN
alkej-905	216	23	in	in	ADP
alkej-905	216	24	crack	crack	NOUN
alkej-905	216	25	growth	growth	NOUN
alkej-905	216	26	rate	rate	NOUN
alkej-905	216	27	is	be	AUX
alkej-905	216	28	5.23	5.23	NUM
alkej-905	216	29	%	%	NOUN
alkej-905	216	30	.	.	PUNCT
alkej-905	217	1	the	the	DET
alkej-905	217	2	percentage	percentage	NOUN
alkej-905	217	3	of	of	ADP
alkej-905	217	4	error	error	NOUN
alkej-905	217	5	for	for	ADP
alkej-905	217	6	alloy	alloy	NOUN
alkej-905	217	7	6061	6061	NUM
alkej-905	217	8	is	be	AUX
alkej-905	217	9	17.5	17.5	NUM
alkej-905	217	10	%	%	NOUN
alkej-905	217	11	,	,	PUNCT
alkej-905	217	12	which	which	PRON
alkej-905	217	13	is	be	AUX
alkej-905	217	14	a	a	DET
alkej-905	217	15	good	good	ADJ
alkej-905	217	16	estimate	estimate	NOUN
alkej-905	217	17	for	for	ADP
alkej-905	217	18	estimating	estimate	VERB
alkej-905	217	19	the	the	DET
alkej-905	217	20	time	time	NOUN
alkej-905	217	21	of	of	ADP
alkej-905	217	22	failure	failure	NOUN
alkej-905	217	23	.	.	PUNCT
alkej-905	218	1			X
alkej-905	219	1	the	the	DET
alkej-905	219	2	c	c	PROPN
alkej-905	219	3	and	and	CCONJ
alkej-905	219	4	m	m	PROPN
alkej-905	219	5	values	value	NOUN
alkej-905	219	6	found	find	VERB
alkej-905	219	7	for	for	ADP
alkej-905	219	8	the	the	DET
alkej-905	219	9	paris	paris	PROPN
alkej-905	219	10	relation	relation	NOUN
alkej-905	219	11	crack	crack	VERB
alkej-905	219	12	propagation	propagation	NOUN
alkej-905	219	13	through	through	ADP
alkej-905	219	14	the	the	DET
alkej-905	219	15	application	application	NOUN
alkej-905	219	16	of	of	ADP
alkej-905	219	17	the	the	DET
alkej-905	219	18	logarithmic	logarithmic	ADJ
alkej-905	219	19	diagram	diagram	NOUN
alkej-905	219	20	are	be	AUX
alkej-905	219	21	at	at	ADP
alkej-905	219	22	acceptable	acceptable	ADJ
alkej-905	219	23	levels	level	NOUN
alkej-905	219	24	within	within	ADP
alkej-905	219	25	the	the	DET
alkej-905	219	26	ranges	range	NOUN
alkej-905	219	27	that	that	SCONJ
alkej-905	219	28	aluminium	aluminium	NOUN
alkej-905	219	29	alloys	alloy	NOUN
alkej-905	219	30	have	have	AUX
alkej-905	219	31	defined	define	VERB
alkej-905	219	32	for	for	ADP
alkej-905	219	33	themselves	themselves	PRON
alkej-905	219	34	.	.	PUNCT
alkej-905	220	1	nomenclature	nomenclature	NOUN
alkej-905	220	2	and	and	CCONJ
alkej-905	220	3	units	unit	NOUN
alkej-905	220	4	da	da	ADJ
alkej-905	220	5	/	/	SYM
alkej-905	220	6	dn	dn	NOUN
alkej-905	220	7	fatigue	fatigue	NOUN
alkej-905	220	8	crack	crack	VERB
alkej-905	220	9	growth	growth	NOUN
alkej-905	220	10	rate	rate	NOUN
alkej-905	220	11	,	,	PUNCT
alkej-905	220	12	mm	mm	PROPN
alkej-905	220	13	/	/	SYM
alkej-905	220	14	cycle	cycle	NOUN
alkej-905	220	15	keq	keq	PROPN
alkej-905	220	16	stress	stress	PROPN
alkej-905	220	17	intensity	intensity	NOUN
alkej-905	220	18	factor	factor	NOUN
alkej-905	220	19	equivalent	equivalent	NOUN
alkej-905	220	20	,	,	PUNCT
alkej-905	220	21	mega	mega	ADJ
alkej-905	220	22	pascal	pascal	NOUN
alkej-905	220	23	.	.	PUNCT
alkej-905	221	1	m	m	VERB
alkej-905	221	2	constant	constant	ADJ
alkej-905	221	3	factor	factor	NOUN
alkej-905	221	4	of	of	ADP
alkej-905	221	5	paris	paris	PROPN
alkej-905	221	6	equation	equation	NOUN
alkej-905	221	7	,	,	PUNCT
alkej-905	221	8	unitless	unitless	NOUN
alkej-905	221	9	.	.	PUNCT
alkej-905	222	1	c	c	PROPN
alkej-905	222	2	constant	constant	ADJ
alkej-905	222	3	factor	factor	NOUN
alkej-905	222	4	of	of	ADP
alkej-905	222	5	paris	paris	PROPN
alkej-905	222	6	equation	equation	NOUN
alkej-905	222	7	,	,	PUNCT
alkej-905	222	8	(	(	PUNCT
alkej-905	222	9	mm	mm	NOUN
alkej-905	222	10	/	/	SYM
alkej-905	222	11	cycle	cycle	NOUN
alkej-905	222	12	)	)	PUNCT
alkej-905	222	13	/	/	SYM
alkej-905	222	14	(	(	PUNCT
alkej-905	222	15	mpa√𝑚	mpa√𝑚	NOUN
alkej-905	222	16	)	)	PUNCT
alkej-905	222	17	.	.	PUNCT
alkej-905	223	1	a	a	DET
alkej-905	223	2	length	length	NOUN
alkej-905	223	3	of	of	ADP
alkej-905	223	4	crack	crack	NOUN
alkej-905	223	5	,	,	PUNCT
alkej-905	223	6	meter	meter	NOUN
alkej-905	223	7	.	.	PUNCT
alkej-905	224	1	ai	ai	VERB
alkej-905	224	2	last	last	ADJ
alkej-905	224	3	length	length	NOUN
alkej-905	224	4	in	in	ADP
alkej-905	224	5	the	the	DET
alkej-905	224	6	crack	crack	NOUN
alkej-905	224	7	,	,	PUNCT
alkej-905	224	8	meter	meter	NOUN
alkej-905	224	9	.	.	PUNCT
alkej-905	225	1	ao	ao	PROPN
alkej-905	225	2	original	original	ADJ
alkej-905	225	3	length	length	NOUN
alkej-905	225	4	of	of	ADP
alkej-905	225	5	the	the	DET
alkej-905	225	6	crack	crack	NOUN
alkej-905	225	7	’s	’s	PART
alkej-905	225	8	length	length	NOUN
alkej-905	225	9	,	,	PUNCT
alkej-905	225	10	meter	meter	NOUN
alkej-905	225	11	.	.	PUNCT
alkej-905	226	1	z	z	NOUN
alkej-905	226	2	complex	complex	ADJ
alkej-905	226	3	number	number	NOUN
alkej-905	226	4	that	that	PRON
alkej-905	226	5	gives	give	VERB
alkej-905	226	6	the	the	DET
alkej-905	226	7	possibility	possibility	NOUN
alkej-905	226	8	of	of	ADP
alkej-905	226	9	calculating	calculate	VERB
alkej-905	226	10	any	any	DET
alkej-905	226	11	place	place	NOUN
alkej-905	226	12	on	on	ADP
alkej-905	226	13	the	the	DET
alkej-905	226	14	slide	slide	NOUN
alkej-905	226	15	in	in	ADP
alkej-905	226	16	the	the	DET
alkej-905	226	17	stress	stress	NOUN
alkej-905	226	18	function	function	NOUN
alkej-905	226	19	𝛉	𝛉	PROPN
alkej-905	226	20	,	,	PUNCT
alkej-905	226	21	𝛉1	𝛉1	ADJ
alkej-905	226	22	,	,	PUNCT
alkej-905	226	23	𝛉2	𝛉2	NOUN
alkej-905	226	24	different	different	ADJ
alkej-905	226	25	angles	angle	NOUN
alkej-905	226	26	relative	relative	ADJ
alkej-905	226	27	to	to	ADP
alkej-905	226	28	the	the	DET
alkej-905	226	29	location	location	NOUN
alkej-905	226	30	expressed	express	VERB
alkej-905	226	31	by	by	ADP
alkej-905	226	32	(	(	PUNCT
alkej-905	226	33	z	z	NOUN
alkej-905	226	34	)	)	PUNCT
alkej-905	226	35	r	r	NOUN
alkej-905	226	36	,	,	PUNCT
alkej-905	226	37	r1	r1	NOUN
alkej-905	226	38	,	,	PUNCT
alkej-905	226	39	r2	r2	PROPN
alkej-905	226	40	radius	radius	NOUN
alkej-905	226	41	from	from	ADP
alkej-905	226	42	the	the	DET
alkej-905	226	43	different	different	ADJ
alkej-905	226	44	corners	corner	NOUN
alkej-905	226	45	𝛉	𝛉	PROPN
alkej-905	226	46	,	,	PUNCT
alkej-905	226	47	𝛉1	𝛉1	PROPN
alkej-905	226	48	,	,	PUNCT
alkej-905	226	49	𝛉2	𝛉2	NOUN
alkej-905	226	50	,	,	PUNCT
alkej-905	226	51	to	to	ADP
alkej-905	226	52	the	the	DET
alkej-905	226	53	(	(	PUNCT
alkej-905	226	54	z	z	NOUN
alkej-905	226	55	)	)	PUNCT
alkej-905	226	56	position	position	NOUN
alkej-905	226	57	𝛟z(i+ii	𝛟z(i+ii	NOUN
alkej-905	226	58	)	)	PUNCT
alkej-905	226	59	stress	stress	NOUN
alkej-905	226	60	function	function	NOUN
alkej-905	226	61	for	for	ADP
alkej-905	226	62	mixed	mixed	ADJ
alkej-905	226	63	mode	mode	NOUN
alkej-905	226	64	(	(	PUNCT
alkej-905	226	65	i	i	NOUN
alkej-905	226	66	/	/	SYM
alkej-905	226	67	ii	ii	PROPN
alkej-905	226	68	)	)	PUNCT
alkej-905	226	69	e	e	NOUN
alkej-905	226	70	’	'	PUNCT
alkej-905	226	71	modulus	modulus	NOUN
alkej-905	226	72	of	of	ADP
alkej-905	226	73	elastic	elastic	ADJ
alkej-905	226	74	,	,	PUNCT
alkej-905	226	75	mega	mega	ADJ
alkej-905	226	76	pascal	pascal	NOUN
alkej-905	226	77	.	.	PUNCT
alkej-905	227	1	v	v	ADP
alkej-905	227	2	displacement	displacement	NOUN
alkej-905	227	3	for	for	ADP
alkej-905	227	4	the	the	DET
alkej-905	227	5	mixed	mixed	ADJ
alkej-905	227	6	mode	mode	NOUN
alkej-905	227	7	.	.	PUNCT
alkej-905	228	1	v•	v•	NOUN
alkej-905	228	2	rate	rate	NOUN
alkej-905	228	3	of	of	ADP
alkej-905	228	4	displacement	displacement	NOUN
alkej-905	228	5	for	for	ADP
alkej-905	228	6	the	the	DET
alkej-905	228	7	mixed	mixed	ADJ
alkej-905	228	8	mode	mode	NOUN
alkej-905	228	9	.	.	PUNCT
alkej-905	229	1	𝛕o	𝛕o	PROPN
alkej-905	229	2	max	max	PROPN
alkej-905	229	3	value	value	NOUN
alkej-905	229	4	of	of	ADP
alkej-905	229	5	shear	shear	NOUN
alkej-905	229	6	stress	stress	NOUN
alkej-905	229	7	,	,	PUNCT
alkej-905	229	8	mega	mega	ADJ
alkej-905	229	9	pascal	pascal	NOUN
alkej-905	229	10	.	.	PUNCT
alkej-905	230	1	𝛕	𝛕	PUNCT
alkej-905	230	2	shear	shear	NOUN
alkej-905	230	3	cycling	cycling	NOUN
alkej-905	230	4	load	load	NOUN
alkej-905	230	5	(	(	PUNCT
alkej-905	230	6	mode	mode	PROPN
alkej-905	230	7	ii	ii	PROPN
alkej-905	230	8	)	)	PUNCT
alkej-905	230	9	,	,	PUNCT
alkej-905	230	10	mega	mega	PROPN
alkej-905	230	11	pascal	pascal	PROPN
alkej-905	230	12	.	.	PUNCT
alkej-905	231	1	w	w	ADP
alkej-905	231	2	angular	angular	ADJ
alkej-905	231	3	velocity	velocity	NOUN
alkej-905	231	4	,	,	PUNCT
alkej-905	231	5	rad	rad	NOUN
alkej-905	231	6	/sec	/sec	PROPN
alkej-905	231	7	.	.	PUNCT
alkej-905	232	1	t	t	PROPN
alkej-905	232	2	time	time	NOUN
alkej-905	232	3	,	,	PUNCT
alkej-905	232	4	seconds	second	NOUN
alkej-905	232	5	.	.	PUNCT
alkej-905	233	1	mass	mass	PROPN
alkej-905	233	2	mass	mass	NOUN
alkej-905	233	3	of	of	ADP
alkej-905	233	4	the	the	DET
alkej-905	233	5	material	material	NOUN
alkej-905	233	6	,	,	PUNCT
alkej-905	233	7	kilogram	kilogram	PROPN
alkej-905	233	8	.	.	PUNCT
alkej-905	234	1	t	t	PROPN
alkej-905	234	2	total	total	NOUN
alkej-905	234	3	total	total	ADJ
alkej-905	234	4	amount	amount	NOUN
alkej-905	234	5	of	of	ADP
alkej-905	234	6	kinetic	kinetic	ADJ
alkej-905	234	7	energy	energy	NOUN
alkej-905	234	8	,	,	PUNCT
alkej-905	234	9	joule	joule	NOUN
alkej-905	234	10	.	.	PUNCT
alkej-905	235	1	g	g	NOUN
alkej-905	235	2	release	release	NOUN
alkej-905	235	3	energy	energy	NOUN
alkej-905	235	4	rate	rate	NOUN
alkej-905	235	5	of	of	ADP
alkej-905	235	6	increase	increase	NOUN
alkej-905	235	7	in	in	ADP
alkej-905	235	8	fracture	fracture	PROPN
alkej-905	235	9	length	length	NOUN
alkej-905	235	10	,	,	PUNCT
alkej-905	235	11	joule	joule	NOUN
alkej-905	235	12	.	.	PUNCT
alkej-905	236	1	r	r	NOUN
alkej-905	236	2	amount	amount	NOUN
alkej-905	236	3	of	of	ADP
alkej-905	236	4	energy	energy	NOUN
alkej-905	236	5	being	be	AUX
alkej-905	236	6	resisted	resist	VERB
alkej-905	236	7	by	by	ADP
alkej-905	236	8	the	the	DET
alkej-905	236	9	fracture	fracture	NOUN
alkej-905	236	10	,	,	PUNCT
alkej-905	236	11	joule	joule	NOUN
alkej-905	236	12	.	.	PUNCT
alkej-905	237	1	ki	ki	PROPN
alkej-905	237	2	stress	stress	NOUN
alkej-905	237	3	intensity	intensity	NOUN
alkej-905	237	4	factor	factor	NOUN
alkej-905	237	5	for	for	ADP
alkej-905	237	6	mode	mode	PROPN
alkej-905	237	7	i	i	PROPN
alkej-905	237	8	,	,	PUNCT
alkej-905	237	9	mpa√m	mpa√m	PROPN
alkej-905	237	10	.	.	PUNCT
alkej-905	238	1	kii	kii	PROPN
alkej-905	238	2	stress	stress	PROPN
alkej-905	238	3	intensity	intensity	NOUN
alkej-905	238	4	factor	factor	NOUN
alkej-905	238	5	for	for	ADP
alkej-905	238	6	mode	mode	PROPN
alkej-905	238	7	ii	ii	PROPN
alkej-905	238	8	,	,	PUNCT
alkej-905	238	9	mpa√m	mpa√m	PROPN
alkej-905	238	10	.	.	PUNCT
alkej-905	239	1	𝛔eff	𝛔eff	PROPN
alkej-905	239	2	the	the	DET
alkej-905	239	3	effective	effective	ADJ
alkej-905	239	4	stress	stress	NOUN
alkej-905	239	5	for	for	ADP
alkej-905	239	6	the	the	DET
alkej-905	239	7	mixed	mixed	ADJ
alkej-905	239	8	mode	mode	NOUN
alkej-905	239	9	,	,	PUNCT
alkej-905	239	10	mega	mega	PROPN
alkej-905	239	11	pascal	pascal	NOUN
alkej-905	239	12	.	.	PUNCT
alkej-905	240	1	u	u	NOUN
alkej-905	240	2	total	total	NOUN
alkej-905	240	3	amount	amount	NOUN
alkej-905	240	4	of	of	ADP
alkej-905	240	5	excess	excess	ADJ
alkej-905	240	6	energy	energy	NOUN
alkej-905	240	7	,	,	PUNCT
alkej-905	240	8	joule	joule	NOUN
alkej-905	240	9	.	.	PUNCT
alkej-905	241	1	uo	uo	NOUN
alkej-905	241	2	the	the	DET
alkej-905	241	3	amount	amount	NOUN
alkej-905	241	4	of	of	ADP
alkej-905	241	5	excess	excess	ADJ
alkej-905	241	6	energy	energy	NOUN
alkej-905	241	7	per	per	ADP
alkej-905	241	8	unit	unit	NOUN
alkej-905	241	9	of	of	ADP
alkej-905	241	10	thickness	thickness	NOUN
alkej-905	241	11	for	for	ADP
alkej-905	241	12	edge	edge	NOUN
alkej-905	241	13	crack	crack	NOUN
alkej-905	241	14	,	,	PUNCT
alkej-905	241	15	joule	joule	NOUN
alkej-905	241	16	.	.	PUNCT
alkej-905	242	1	da	da	NOUN
alkej-905	242	2	/dt	/dt	PUNCT
alkej-905	242	3	rate	rate	NOUN
alkej-905	242	4	of	of	ADP
alkej-905	242	5	crack	crack	NOUN
alkej-905	242	6	growth	growth	NOUN
alkej-905	242	7	,	,	PUNCT
alkej-905	242	8	m	m	PROPN
alkej-905	242	9	/	/	SYM
alkej-905	242	10	sec	sec	PROPN
alkej-905	242	11	.	.	PUNCT
alkej-905	243	1	𝛔	𝛔	X
alkej-905	243	2	tension	tension	NOUN
alkej-905	243	3	stress	stress	NOUN
alkej-905	243	4	,	,	PUNCT
alkej-905	243	5	mega	mega	ADJ
alkej-905	243	6	pascal	pascal	PROPN
alkej-905	243	7	.	.	PUNCT
alkej-905	244	1	ɵc	ɵc	PROPN
alkej-905	244	2	angel	angel	NOUN
alkej-905	244	3	of	of	ADP
alkej-905	244	4	crack	crack	NOUN
alkej-905	244	5	,	,	PUNCT
alkej-905	244	6	degree	degree	NOUN
alkej-905	244	7	𝛖	𝛖	PRON
alkej-905	244	8	poisson	poisson	PROPN
alkej-905	244	9	’s	’s	PART
alkej-905	244	10	ratio	ratio	NOUN
alkej-905	244	11	,	,	PUNCT
alkej-905	244	12	unit	unit	NOUN
alkej-905	244	13	less	less	ADJ
alkej-905	244	14	ρ	ρ	NOUN
alkej-905	244	15	density	density	NOUN
alkej-905	244	16	of	of	ADP
alkej-905	244	17	the	the	DET
alkej-905	244	18	material	material	NOUN
alkej-905	244	19	,	,	PUNCT
alkej-905	244	20	kg	kg	PROPN
alkej-905	244	21	/	/	SYM
alkej-905	244	22	m3	m3	PROPN
alkej-905	244	23	declaration	declaration	NOUN
alkej-905	244	24	of	of	ADP
alkej-905	244	25	interest	interest	NOUN
alkej-905	244	26	the	the	DET
alkej-905	244	27	authors	author	NOUN
alkej-905	244	28	declare	declare	VERB
alkej-905	244	29	that	that	SCONJ
alkej-905	244	30	they	they	PRON
alkej-905	244	31	have	have	VERB
alkej-905	244	32	no	no	DET
alkej-905	244	33	conflicts	conflict	NOUN
alkej-905	244	34	of	of	ADP
alkej-905	244	35	interest	interest	NOUN
alkej-905	244	36	financial	financial	ADJ
alkej-905	244	37	or	or	CCONJ
alkej-905	244	38	personal	personal	ADJ
alkej-905	244	39	relationships	relationship	NOUN
alkej-905	244	40	with	with	ADP
alkej-905	244	41	other	other	ADJ
alkej-905	244	42	persons	person	NOUN
alkej-905	244	43	or	or	CCONJ
alkej-905	244	44	organisations	organisation	NOUN
alkej-905	244	45	that	that	PRON
alkej-905	244	46	could	could	AUX
alkej-905	244	47	improperly	improperly	ADV
alkej-905	244	48	influence	influence	VERB
alkej-905	244	49	their	their	PRON
alkej-905	244	50	work	work	NOUN
alkej-905	244	51	in	in	ADP
alkej-905	244	52	connection	connection	NOUN
alkej-905	244	53	with	with	ADP
alkej-905	244	54	the	the	DET
alkej-905	244	55	publication	publication	NOUN
alkej-905	244	56	of	of	ADP
alkej-905	244	57	this	this	DET
alkej-905	244	58	article	article	NOUN
alkej-905	244	59	.	.	PUNCT
alkej-905	245	1	submission	submission	NOUN
alkej-905	245	2	declaration	declaration	NOUN
alkej-905	245	3	the	the	DET
alkej-905	245	4	authors	author	NOUN
alkej-905	245	5	declare	declare	VERB
alkej-905	245	6	that	that	SCONJ
alkej-905	245	7	the	the	DET
alkej-905	245	8	work	work	NOUN
alkej-905	245	9	described	describe	VERB
alkej-905	245	10	has	have	AUX
alkej-905	245	11	not	not	PART
alkej-905	245	12	been	be	AUX
alkej-905	245	13	previously	previously	ADV
alkej-905	245	14	published	publish	VERB
alkej-905	245	15	,	,	PUNCT
alkej-905	245	16	that	that	SCONJ
alkej-905	245	17	it	it	PRON
alkej-905	245	18	is	be	AUX
alkej-905	245	19	not	not	PART
alkej-905	245	20	under	under	ADP
alkej-905	245	21	consideration	consideration	NOUN
alkej-905	245	22	for	for	ADP
alkej-905	245	23	publication	publication	NOUN
alkej-905	245	24	elsewhere	elsewhere	ADV
alkej-905	245	25	,	,	PUNCT
alkej-905	245	26	and	and	CCONJ
alkej-905	245	27	that	that	SCONJ
alkej-905	245	28	all	all	DET
alkej-905	245	29	authors	author	NOUN
alkej-905	245	30	have	have	AUX
alkej-905	245	31	approved	approve	VERB
alkej-905	245	32	its	its	PRON
alkej-905	245	33	publication	publication	NOUN
alkej-905	245	34	in	in	ADP
alkej-905	245	35	connection	connection	NOUN
alkej-905	245	36	with	with	ADP
alkej-905	245	37	the	the	DET
alkej-905	245	38	publication	publication	NOUN
alkej-905	245	39	of	of	ADP
alkej-905	245	40	this	this	DET
alkej-905	245	41	article	article	NOUN
alkej-905	245	42	.	.	PUNCT
alkej-905	246	1	israa	israa	PROPN
alkej-905	246	2	abed	abe	VERB
alkej-905	246	3	alrazak	alrazak	PROPN
alkej-905	246	4	al	al	PROPN
alkej-905	246	5	-	-	PUNCT
alkej-905	246	6	khwarizmi	khwarizmi	PROPN
alkej-905	246	7	engineering	engineering	NOUN
alkej-905	246	8	journal	journal	PROPN
alkej-905	246	9	,	,	PUNCT
alkej-905	246	10	vol	vol	NOUN
alkej-905	246	11	.	.	PROPN
alkej-905	246	12	20	20	NUM
alkej-905	246	13	,	,	PUNCT
alkej-905	246	14	no.4	no.4	PROPN
alkej-905	246	15	,	,	PUNCT
alkej-905	246	16	p.p	p.p	PROPN
alkej-905	246	17	.	.	PROPN
alkej-905	246	18	58–69(2024	58–69(2024	PROPN
alkej-905	246	19	)	)	PUNCT
alkej-905	246	20	67	67	NUM
alkej-905	246	21	acknowledgement	acknowledgement	NOUN
alkej-905	246	22	we	we	PRON
alkej-905	246	23	thank	thank	VERB
alkej-905	246	24	everyone	everyone	PRON
alkej-905	246	25	who	who	PRON
alkej-905	246	26	have	have	AUX
alkej-905	246	27	helped	help	VERB
alkej-905	246	28	publish	publish	VERB
alkej-905	246	29	this	this	DET
alkej-905	246	30	study	study	NOUN
alkej-905	246	31	.	.	PUNCT
alkej-905	247	1	we	we	PRON
alkej-905	247	2	also	also	ADV
alkej-905	247	3	thank	thank	VERB
alkej-905	247	4	the	the	DET
alkej-905	247	5	mechanical	mechanical	ADJ
alkej-905	247	6	department	department	NOUN
alkej-905	247	7	at	at	ADP
alkej-905	247	8	baghdad	baghdad	PROPN
alkej-905	247	9	university	university	PROPN
alkej-905	247	10	for	for	ADP
alkej-905	247	11	providing	provide	VERB
alkej-905	247	12	us	we	PRON
alkej-905	247	13	with	with	ADP
alkej-905	247	14	the	the	DET
alkej-905	247	15	resources	resource	NOUN
alkej-905	247	16	and	and	CCONJ
alkej-905	247	17	assistance	assistance	NOUN
alkej-905	247	18	to	to	PART
alkej-905	247	19	finish	finish	VERB
alkej-905	247	20	this	this	DET
alkej-905	247	21	project	project	NOUN
alkej-905	247	22	.	.	PUNCT
alkej-905	248	1	finally	finally	ADV
alkej-905	248	2	,	,	PUNCT
alkej-905	248	3	we	we	PRON
alkej-905	248	4	appreciate	appreciate	VERB
alkej-905	248	5	all	all	DET
alkej-905	248	6	research	research	NOUN
alkej-905	248	7	participants	participant	NOUN
alkej-905	248	8	’	'	PUNCT
alkej-905	248	9	time	time	NOUN
alkej-905	248	10	and	and	CCONJ
alkej-905	248	11	willingness	willingness	NOUN
alkej-905	248	12	to	to	PART
alkej-905	248	13	share	share	VERB
alkej-905	248	14	their	their	PRON
alkej-905	248	15	experiences	experience	NOUN
alkej-905	248	16	.	.	PUNCT
alkej-905	249	1	their	their	PRON
alkej-905	249	2	contributions	contribution	NOUN
alkej-905	249	3	have	have	AUX
alkej-905	249	4	been	be	AUX
alkej-905	249	5	crucial	crucial	ADJ
alkej-905	249	6	to	to	ADP
alkej-905	249	7	our	our	PRON
alkej-905	249	8	understanding	understanding	NOUN
alkej-905	249	9	and	and	CCONJ
alkej-905	249	10	conclusions	conclusion	NOUN
alkej-905	249	11	.	.	PUNCT
alkej-905	250	1	funding	funding	NOUN
alkej-905	250	2	sources	source	NOUN
alkej-905	250	3	this	this	DET
alkej-905	250	4	research	research	NOUN
alkej-905	250	5	did	do	AUX
alkej-905	250	6	not	not	PART
alkej-905	250	7	receive	receive	VERB
alkej-905	250	8	any	any	DET
alkej-905	250	9	specific	specific	ADJ
alkej-905	250	10	grant	grant	NOUN
alkej-905	250	11	from	from	ADP
alkej-905	250	12	funding	fund	VERB
alkej-905	250	13	agencies	agency	NOUN
alkej-905	250	14	in	in	ADP
alkej-905	250	15	the	the	DET
alkej-905	250	16	public	public	ADJ
alkej-905	250	17	,	,	PUNCT
alkej-905	250	18	commercial	commercial	ADJ
alkej-905	250	19	,	,	PUNCT
alkej-905	250	20	or	or	CCONJ
alkej-905	250	21	not	not	PART
alkej-905	250	22	-	-	PUNCT
alkej-905	250	23	for	for	ADP
alkej-905	250	24	-	-	PUNCT
alkej-905	250	25	profit	profit	NOUN
alkej-905	250	26	sectors	sector	NOUN
alkej-905	250	27	.	.	PUNCT
alkej-905	251	1	references	reference	NOUN
alkej-905	251	2	[	[	X
alkej-905	251	3	1	1	NUM
alkej-905	251	4	]	]	PUNCT
alkej-905	251	5	p.	p.	PROPN
alkej-905	251	6	zhang	zhang	PROPN
alkej-905	251	7	,	,	PUNCT
alkej-905	251	8	j.	j.	PROPN
alkej-905	251	9	li	li	PROPN
alkej-905	251	10	,	,	PUNCT
alkej-905	251	11	y.	y.	PROPN
alkej-905	251	12	zhao	zhao	PROPN
alkej-905	251	13	,	,	PUNCT
alkej-905	251	14	and	and	CCONJ
alkej-905	251	15	j.	j.	PROPN
alkej-905	251	16	li	li	PROPN
alkej-905	251	17	,	,	PUNCT
alkej-905	251	18	“	"	PUNCT
alkej-905	251	19	crack	crack	VERB
alkej-905	251	20	propagation	propagation	NOUN
alkej-905	251	21	analysis	analysis	NOUN
alkej-905	251	22	and	and	CCONJ
alkej-905	251	23	fatigue	fatigue	NOUN
alkej-905	251	24	life	life	NOUN
alkej-905	251	25	assessment	assessment	NOUN
alkej-905	251	26	of	of	ADP
alkej-905	251	27	high	high	ADJ
alkej-905	251	28	-	-	PUNCT
alkej-905	251	29	strength	strength	NOUN
alkej-905	251	30	bolts	bolt	NOUN
alkej-905	251	31	based	base	VERB
alkej-905	251	32	on	on	ADP
alkej-905	251	33	fracture	fracture	PROPN
alkej-905	251	34	mechanics	mechanic	NOUN
alkej-905	251	35	.	.	PUNCT
alkej-905	252	1	,	,	PUNCT
alkej-905	252	2	”	"	PUNCT
alkej-905	252	3	sci	sci	PROPN
alkej-905	252	4	.	.	PUNCT
alkej-905	252	5	rep	rep	PROPN
alkej-905	252	6	.	.	PROPN
alkej-905	252	7	,	,	PUNCT
alkej-905	252	8	vol	vol	NOUN
alkej-905	252	9	.	.	PROPN
alkej-905	252	10	13	13	NUM
alkej-905	252	11	,	,	PUNCT
alkej-905	252	12	no	no	INTJ
alkej-905	252	13	.	.	NOUN
alkej-905	252	14	1	1	NUM
alkej-905	252	15	,	,	PUNCT
alkej-905	252	16	p.	p.	NOUN
alkej-905	252	17	14567	14567	NUM
alkej-905	252	18	,	,	PUNCT
alkej-905	252	19	sep	sep	PROPN
alkej-905	252	20	.	.	PROPN
alkej-905	252	21	2023	2023	NUM
alkej-905	252	22	,	,	PUNCT
alkej-905	252	23	doi	doi	NOUN
alkej-905	252	24	:	:	PUNCT
alkej-905	252	25	10.1038	10.1038	NUM
alkej-905	252	26	/	/	SYM
alkej-905	252	27	s41598	s41598	NOUN
alkej-905	252	28	-	-	PUNCT
alkej-905	252	29	02341804	02341804	NUM
alkej-905	252	30	-	-	PUNCT
alkej-905	252	31	z.	z.	PROPN
alkej-905	253	1	[	[	X
alkej-905	253	2	2	2	NUM
alkej-905	253	3	]	]	PUNCT
alkej-905	253	4	a.	a.	PROPN
alkej-905	253	5	al	al	PROPN
alkej-905	253	6	-	-	PUNCT
alkej-905	253	7	mukhtar	mukhtar	PROPN
alkej-905	253	8	,	,	PUNCT
alkej-905	253	9	“	"	PUNCT
alkej-905	253	10	mixed	mixed	ADJ
alkej-905	253	11	-	-	PUNCT
alkej-905	253	12	mode	mode	NOUN
alkej-905	253	13	crack	crack	NOUN
alkej-905	253	14	propagation	propagation	NOUN
alkej-905	253	15	in	in	ADP
alkej-905	253	16	cruciform	cruciform	PROPN
alkej-905	253	17	joint	joint	ADJ
alkej-905	253	18	using	use	VERB
alkej-905	253	19	franc2d	franc2d	NOUN
alkej-905	253	20	,	,	PUNCT
alkej-905	253	21	”	"	PUNCT
alkej-905	253	22	j.	j.	PROPN
alkej-905	253	23	fail	fail	PROPN
alkej-905	253	24	.	.	PUNCT
alkej-905	254	1	anal	anal	PROPN
alkej-905	254	2	.	.	PUNCT
alkej-905	255	1	prev	prev	PROPN
alkej-905	255	2	.	.	PROPN
alkej-905	255	3	,	,	PUNCT
alkej-905	255	4	vol	vol	NOUN
alkej-905	255	5	.	.	PROPN
alkej-905	255	6	16	16	NUM
alkej-905	255	7	,	,	PUNCT
alkej-905	255	8	apr	apr	PROPN
alkej-905	255	9	.	.	PROPN
alkej-905	255	10	2016	2016	NUM
alkej-905	255	11	,	,	PUNCT
alkej-905	255	12	doi	doi	NOUN
alkej-905	255	13	:	:	PUNCT
alkej-905	255	14	10.1007	10.1007	NUM
alkej-905	255	15	/	/	SYM
alkej-905	255	16	s11668	s11668	NOUN
alkej-905	255	17	-	-	PUNCT
alkej-905	255	18	016	016	NUM
alkej-905	255	19	-	-	PUNCT
alkej-905	255	20	0094	0094	NUM
alkej-905	255	21	-	-	SYM
alkej-905	255	22	1	1	NUM
alkej-905	255	23	.	.	PUNCT
alkej-905	256	1	[	[	X
alkej-905	256	2	3	3	X
alkej-905	256	3	]	]	X
alkej-905	256	4	d.	d.	PROPN
alkej-905	256	5	rozumek	rozumek	PROPN
alkej-905	256	6	and	and	CCONJ
alkej-905	256	7	e.	e.	PROPN
alkej-905	256	8	macha	macha	PROPN
alkej-905	256	9	,	,	PUNCT
alkej-905	256	10	“	"	PUNCT
alkej-905	256	11	a	a	DET
alkej-905	256	12	survey	survey	NOUN
alkej-905	256	13	of	of	ADP
alkej-905	256	14	failure	failure	NOUN
alkej-905	256	15	criteria	criterion	NOUN
alkej-905	256	16	and	and	CCONJ
alkej-905	256	17	parameters	parameter	NOUN
alkej-905	256	18	in	in	ADP
alkej-905	256	19	mixed	mixed	ADJ
alkej-905	256	20	-	-	PUNCT
alkej-905	256	21	mode	mode	NOUN
alkej-905	256	22	fatigue	fatigue	NOUN
alkej-905	256	23	crack	crack	NOUN
alkej-905	256	24	growth	growth	NOUN
alkej-905	256	25	,	,	PUNCT
alkej-905	256	26	”	"	PUNCT
alkej-905	256	27	mater	mater	NOUN
alkej-905	256	28	.	.	PUNCT
alkej-905	257	1	sci	sci	PROPN
alkej-905	257	2	.	.	PROPN
alkej-905	257	3	,	,	PUNCT
alkej-905	257	4	vol	vol	NOUN
alkej-905	257	5	.	.	PROPN
alkej-905	258	1	45	45	NUM
alkej-905	258	2	,	,	PUNCT
alkej-905	258	3	no	no	INTJ
alkej-905	258	4	.	.	NOUN
alkej-905	258	5	2	2	NUM
alkej-905	258	6	,	,	PUNCT
alkej-905	258	7	p.	p.	NOUN
alkej-905	258	8	190	190	NUM
alkej-905	258	9	,	,	PUNCT
alkej-905	258	10	2009	2009	NUM
alkej-905	258	11	,	,	PUNCT
alkej-905	258	12	doi	doi	NOUN
alkej-905	258	13	:	:	PUNCT
alkej-905	258	14	10.1007	10.1007	NUM
alkej-905	258	15	/	/	SYM
alkej-905	258	16	s11003	s11003	NOUN
alkej-905	258	17	-	-	PUNCT
alkej-905	258	18	0099179	0099179	NUM
alkej-905	258	19	-	-	SYM
alkej-905	258	20	2	2	NUM
alkej-905	258	21	.	.	PUNCT
alkej-905	259	1	[	[	X
alkej-905	259	2	4	4	NUM
alkej-905	259	3	]	]	PUNCT
alkej-905	259	4	a.	a.	PROPN
alkej-905	259	5	d.	d.	PROPN
alkej-905	259	6	assi	assi	PROPN
alkej-905	259	7	,	,	PUNCT
alkej-905	259	8	“	"	PUNCT
alkej-905	259	9	influence	influence	NOUN
alkej-905	259	10	of	of	ADP
alkej-905	259	11	al2o3	al2o3	PROPN
alkej-905	259	12	nanoparticles	nanoparticle	NOUN
alkej-905	259	13	addition	addition	NOUN
alkej-905	259	14	to	to	ADP
alkej-905	259	15	aa6082	aa6082	PROPN
alkej-905	259	16	-	-	PUNCT
alkej-905	259	17	t6	t6	PROPN
alkej-905	259	18	on	on	ADP
alkej-905	259	19	mechanical	mechanical	ADJ
alkej-905	259	20	properties	property	NOUN
alkej-905	259	21	by	by	ADP
alkej-905	259	22	stir	stir	VERB
alkej-905	259	23	casting	cast	VERB
alkej-905	259	24	technique	technique	NOUN
alkej-905	259	25	,	,	PUNCT
alkej-905	259	26	”	"	PUNCT
alkej-905	259	27	iop	iop	NOUN
alkej-905	259	28	conf	conf	NOUN
alkej-905	259	29	.	.	PUNCT
alkej-905	260	1	ser	ser	PROPN
alkej-905	260	2	.	.	PUNCT
alkej-905	261	1	mater	mater	PROPN
alkej-905	261	2	.	.	PUNCT
alkej-905	262	1	sci	sci	PROPN
alkej-905	262	2	.	.	PUNCT
alkej-905	263	1	eng	eng	PROPN
alkej-905	263	2	.	.	PROPN
alkej-905	263	3	,	,	PUNCT
alkej-905	263	4	vol	vol	NOUN
alkej-905	263	5	.	.	PROPN
alkej-905	263	6	881	881	NUM
alkej-905	263	7	,	,	PUNCT
alkej-905	263	8	no	no	INTJ
alkej-905	263	9	.	.	NOUN
alkej-905	263	10	1	1	NUM
alkej-905	263	11	,	,	PUNCT
alkej-905	263	12	p.	p.	NOUN
alkej-905	263	13	12081	12081	NUM
alkej-905	263	14	,	,	PUNCT
alkej-905	263	15	2020	2020	NUM
alkej-905	263	16	,	,	PUNCT
alkej-905	263	17	doi	doi	NOUN
alkej-905	263	18	:	:	PUNCT
alkej-905	263	19	10.1088/1757899x/881/1/012081	10.1088/1757899x/881/1/012081	NUM
alkej-905	263	20	.	.	PUNCT
alkej-905	264	1	[	[	X
alkej-905	264	2	5	5	X
alkej-905	264	3	]	]	PUNCT
alkej-905	264	4	f.	f.	PROPN
alkej-905	264	5	alshamma	alshamma	PROPN
alkej-905	264	6	and	and	CCONJ
alkej-905	264	7	o.	o.	PROPN
alkej-905	264	8	jassim	jassim	PROPN
alkej-905	264	9	,	,	PUNCT
alkej-905	264	10	“	"	PUNCT
alkej-905	264	11	dynamic	dynamic	ADJ
alkej-905	264	12	crack	crack	NOUN
alkej-905	264	13	propagation	propagation	NOUN
alkej-905	264	14	in	in	ADP
alkej-905	264	15	nano	nano	NOUN
alkej-905	264	16	-	-	PUNCT
alkej-905	264	17	composite	composite	ADJ
alkej-905	264	18	thin	thin	ADJ
alkej-905	264	19	plates	plate	NOUN
alkej-905	264	20	under	under	ADP
alkej-905	264	21	multi	multi	ADJ
alkej-905	264	22	-	-	ADJ
alkej-905	264	23	axial	axial	ADJ
alkej-905	264	24	cyclic	cyclic	ADJ
alkej-905	264	25	loading	loading	NOUN
alkej-905	264	26	,	,	PUNCT
alkej-905	264	27	”	"	PUNCT
alkej-905	264	28	j.	j.	PROPN
alkej-905	264	29	mater	mater	PROPN
alkej-905	264	30	.	.	PUNCT
alkej-905	265	1	res	re	NOUN
alkej-905	265	2	.	.	PUNCT
alkej-905	266	1	technol	technol	PROPN
alkej-905	266	2	.	.	PROPN
alkej-905	266	3	,	,	PUNCT
alkej-905	266	4	vol	vol	NOUN
alkej-905	266	5	.	.	PROPN
alkej-905	266	6	8	8	NUM
alkej-905	266	7	,	,	PUNCT
alkej-905	266	8	aug	aug	PROPN
alkej-905	266	9	.	.	PROPN
alkej-905	266	10	2019	2019	NUM
alkej-905	266	11	,	,	PUNCT
alkej-905	266	12	doi	doi	NOUN
alkej-905	266	13	:	:	PUNCT
alkej-905	266	14	10.1016	10.1016	NUM
alkej-905	266	15	/	/	SYM
alkej-905	266	16	j.jmrt.2019.08.011	j.jmrt.2019.08.011	PROPN
alkej-905	266	17	.	.	PUNCT
alkej-905	267	1	[	[	X
alkej-905	267	2	6	6	NUM
alkej-905	267	3	]	]	PUNCT
alkej-905	267	4	b.	b.	NOUN
alkej-905	267	5	bachy	bachy	PROPN
alkej-905	267	6	,	,	PUNCT
alkej-905	267	7	“	"	PUNCT
alkej-905	267	8	mathematical	mathematical	ADJ
alkej-905	267	9	model	model	NOUN
alkej-905	267	10	to	to	PART
alkej-905	267	11	investigate	investigate	VERB
alkej-905	267	12	the	the	DET
alkej-905	267	13	temperature	temperature	NOUN
alkej-905	267	14	and	and	CCONJ
alkej-905	267	15	hardness	hardness	NOUN
alkej-905	267	16	distributions	distribution	NOUN
alkej-905	267	17	during	during	ADP
alkej-905	267	18	the	the	DET
alkej-905	267	19	annealing	annealing	NOUN
alkej-905	267	20	and	and	CCONJ
alkej-905	267	21	normalising	normalise	VERB
alkej-905	267	22	treatment	treatment	NOUN
alkej-905	267	23	,	,	PUNCT
alkej-905	267	24	”	"	PUNCT
alkej-905	267	25	intell	intell	PROPN
alkej-905	267	26	.	.	PUNCT
alkej-905	268	1	transp	transp	PROPN
alkej-905	268	2	.	.	PUNCT
alkej-905	269	1	syst	syst	PROPN
alkej-905	269	2	.	.	PUNCT
alkej-905	270	1	j.	j.	PROPN
alkej-905	270	2	,	,	PUNCT
alkej-905	270	3	vol	vol	NOUN
alkej-905	270	4	.	.	PROPN
alkej-905	270	5	16	16	NUM
alkej-905	270	6	,	,	PUNCT
alkej-905	270	7	pp	pp	ADJ
alkej-905	270	8	.	.	PUNCT
alkej-905	271	1	5683–5698	5683–5698	NUM
alkej-905	271	2	,	,	PUNCT
alkej-905	271	3	jan	jan	PROPN
alkej-905	271	4	.	.	PROPN
alkej-905	271	5	2010	2010	NUM
alkej-905	271	6	.	.	PUNCT
alkej-905	272	1	[	[	X
alkej-905	272	2	7	7	X
alkej-905	272	3	]	]	PUNCT
alkej-905	272	4	a.	a.	NOUN
alkej-905	272	5	a.	a.	NOUN
alkej-905	272	6	asaad	asaad	PROPN
alkej-905	272	7	and	and	CCONJ
alkej-905	272	8	m.	m.	NOUN
alkej-905	272	9	a.	a.	PROPN
alkej-905	272	10	mussa	mussa	PROPN
alkej-905	272	11	,	,	PUNCT
alkej-905	272	12	“	"	PUNCT
alkej-905	272	13	an	an	DET
alkej-905	272	14	experimental	experimental	ADJ
alkej-905	272	15	and	and	CCONJ
alkej-905	272	16	numerical	numerical	ADJ
alkej-905	272	17	investigation	investigation	NOUN
alkej-905	272	18	of	of	ADP
alkej-905	272	19	heat	heat	NOUN
alkej-905	272	20	transfer	transfer	NOUN
alkej-905	272	21	effect	effect	NOUN
alkej-905	272	22	on	on	ADP
alkej-905	272	23	cyclic	cyclic	ADJ
alkej-905	272	24	fatigue	fatigue	NOUN
alkej-905	272	25	of	of	ADP
alkej-905	272	26	gas	gas	NOUN
alkej-905	272	27	turbine	turbine	NOUN
alkej-905	272	28	blade	blade	NOUN
alkej-905	272	29	,	,	PUNCT
alkej-905	272	30	”	"	PUNCT
alkej-905	272	31	j.	j.	PROPN
alkej-905	272	32	eng	eng	PROPN
alkej-905	272	33	.	.	PROPN
alkej-905	272	34	,	,	PUNCT
alkej-905	272	35	vol	vol	NOUN
alkej-905	272	36	.	.	PROPN
alkej-905	272	37	25	25	NUM
alkej-905	272	38	,	,	PUNCT
alkej-905	272	39	no	no	INTJ
alkej-905	272	40	.	.	NOUN
alkej-905	272	41	7	7	NUM
alkej-905	272	42	searticles	searticle	NOUN
alkej-905	272	43	,	,	PUNCT
alkej-905	272	44	pp	pp	ADJ
alkej-905	272	45	.	.	PUNCT
alkej-905	273	1	61–82	61–82	NUM
alkej-905	273	2	,	,	PUNCT
alkej-905	273	3	jun	jun	PROPN
alkej-905	273	4	.	.	PROPN
alkej-905	273	5	2019	2019	NUM
alkej-905	273	6	,	,	PUNCT
alkej-905	273	7	doi	doi	NOUN
alkej-905	273	8	:	:	PUNCT
alkej-905	273	9	10.31026	10.31026	NUM
alkej-905	273	10	/	/	SYM
alkej-905	273	11	j.eng.2019.07.04	j.eng.2019.07.04	NOUN
alkej-905	273	12	.	.	PUNCT
alkej-905	274	1	[	[	X
alkej-905	274	2	8	8	NUM
alkej-905	274	3	]	]	X
alkej-905	274	4	h.	h.	PROPN
alkej-905	274	5	jahed	jahed	PROPN
alkej-905	274	6	,	,	PUNCT
alkej-905	274	7	a.	a.	NOUN
alkej-905	274	8	varvani	varvani	NOUN
alkej-905	274	9	-	-	PUNCT
alkej-905	274	10	farahani	farahani	ADJ
alkej-905	274	11	,	,	PUNCT
alkej-905	274	12	m.	m.	NOUN
alkej-905	274	13	noban	noban	PROPN
alkej-905	274	14	,	,	PUNCT
alkej-905	274	15	and	and	CCONJ
alkej-905	274	16	i.	i.	PROPN
alkej-905	274	17	khalaji	khalaji	PROPN
alkej-905	274	18	,	,	PUNCT
alkej-905	274	19	“	"	PUNCT
alkej-905	274	20	an	an	DET
alkej-905	274	21	energy	energy	NOUN
alkej-905	274	22	-	-	PUNCT
alkej-905	274	23	based	base	VERB
alkej-905	274	24	fatigue	fatigue	NOUN
alkej-905	274	25	life	life	NOUN
alkej-905	274	26	assessment	assessment	NOUN
alkej-905	274	27	model	model	NOUN
alkej-905	274	28	for	for	ADP
alkej-905	274	29	various	various	ADJ
alkej-905	274	30	metallic	metallic	ADJ
alkej-905	274	31	materials	material	NOUN
alkej-905	274	32	under	under	ADP
alkej-905	274	33	proportional	proportional	ADJ
alkej-905	274	34	and	and	CCONJ
alkej-905	274	35	nonproportional	nonproportional	ADJ
alkej-905	274	36	loading	loading	NOUN
alkej-905	274	37	conditions	condition	NOUN
alkej-905	274	38	,	,	PUNCT
alkej-905	274	39	”	"	PUNCT
alkej-905	274	40	int	int	NOUN
alkej-905	274	41	.	.	PUNCT
alkej-905	275	1	j.	j.	PROPN
alkej-905	275	2	fatigue	fatigue	PROPN
alkej-905	275	3	,	,	PUNCT
alkej-905	275	4	vol	vol	NOUN
alkej-905	275	5	.	.	PROPN
alkej-905	275	6	29	29	NUM
alkej-905	275	7	,	,	PUNCT
alkej-905	275	8	no	no	INTJ
alkej-905	275	9	.	.	NOUN
alkej-905	275	10	4	4	NUM
alkej-905	275	11	,	,	PUNCT
alkej-905	275	12	pp	pp	ADJ
alkej-905	275	13	.	.	PUNCT
alkej-905	276	1	647–655	647–655	NUM
alkej-905	276	2	,	,	PUNCT
alkej-905	276	3	2007	2007	NUM
alkej-905	276	4	,	,	PUNCT
alkej-905	276	5	doi	doi	NOUN
alkej-905	276	6	:	:	PUNCT
alkej-905	276	7	https://doi.org/10.1016/j.ijfatigue.2006.07.01	https://doi.org/10.1016/j.ijfatigue.2006.07.01	ADJ
alkej-905	276	8	.	.	PUNCT
alkej-905	277	1	[	[	X
alkej-905	277	2	9	9	NUM
alkej-905	277	3	]	]	PUNCT
alkej-905	277	4	s.	s.	PROPN
alkej-905	277	5	a.	a.	PROPN
alkej-905	277	6	z.	z.	PROPN
alkej-905	277	7	dr	dr	PROPN
alkej-905	277	8	.	.	PROPN
alkej-905	277	9	fathi	fathi	PROPN
alkej-905	277	10	alshamma	alshamma	PROPN
alkej-905	277	11	,	,	PUNCT
alkej-905	277	12	“	"	PUNCT
alkej-905	277	13	no	no	DET
alkej-905	277	14	titlecrack	titlecrack	NOUN
alkej-905	277	15	growth	growth	NOUN
alkej-905	277	16	behavior	behavior	NOUN
alkej-905	277	17	of	of	ADP
alkej-905	277	18	cracked	crack	VERB
alkej-905	277	19	copper	copper	NOUN
alkej-905	277	20	pipes	pipe	NOUN
alkej-905	277	21	(	(	PUNCT
alkej-905	277	22	12200	12200	NUM
alkej-905	277	23	)	)	PUNCT
alkej-905	277	24	under	under	ADP
alkej-905	277	25	cyclic	cyclic	ADJ
alkej-905	277	26	torsion	torsion	NOUN
alkej-905	277	27	loads	load	NOUN
alkej-905	277	28	,	,	PUNCT
alkej-905	277	29	”	"	PUNCT
alkej-905	277	30	int	int	NOUN
alkej-905	277	31	.	.	PUNCT
alkej-905	278	1	j.	j.	PROPN
alkej-905	278	2	eng	eng	PROPN
alkej-905	278	3	.	.	PROPN
alkej-905	279	1	technol	technol	PROPN
alkej-905	279	2	.	.	PUNCT
alkej-905	280	1	sci	sci	PROPN
alkej-905	280	2	.	.	PUNCT
alkej-905	280	3	innov	innov	PROPN
alkej-905	280	4	.	.	PROPN
alkej-905	280	5	,	,	PUNCT
alkej-905	280	6	vol	vol	NOUN
alkej-905	280	7	.	.	PROPN
alkej-905	280	8	2	2	NUM
alkej-905	280	9	,	,	PUNCT
alkej-905	280	10	pp	pp	ADJ
alkej-905	280	11	.	.	PUNCT
alkej-905	281	1	595–603	595–603	NUM
alkej-905	281	2	,	,	PUNCT
alkej-905	281	3	2017	2017	NUM
alkej-905	281	4	,	,	PUNCT
alkej-905	281	5	[	[	X
alkej-905	281	6	online	online	X
alkej-905	281	7	]	]	X
alkej-905	281	8	.	.	PUNCT
alkej-905	282	1	available	available	ADJ
alkej-905	282	2	:	:	PUNCT
alkej-905	282	3	https://www.ijetsi.org/more2017.php?id=50	https://www.ijetsi.org/more2017.php?id=50	X
alkej-905	282	4	[	[	X
alkej-905	282	5	10	10	NUM
alkej-905	282	6	]	]	PUNCT
alkej-905	282	7	f.	f.	PROPN
alkej-905	282	8	a.	a.	PROPN
alkej-905	282	9	alshamma	alshamma	PROPN
alkej-905	282	10	and	and	CCONJ
alkej-905	282	11	m.	m.	PROPN
alkej-905	282	12	h.	h.	PROPN
alkej-905	282	13	salman	salman	PROPN
alkej-905	282	14	,	,	PUNCT
alkej-905	282	15	“	"	PUNCT
alkej-905	282	16	modified	modify	VERB
alkej-905	282	17	method	method	NOUN
alkej-905	282	18	for	for	ADP
alkej-905	282	19	studying	study	VERB
alkej-905	282	20	the	the	DET
alkej-905	282	21	effect	effect	NOUN
alkej-905	282	22	of	of	ADP
alkej-905	282	23	laser	laser	NOUN
alkej-905	282	24	shot	shot	NOUN
alkej-905	282	25	peening	peening	NOUN
alkej-905	282	26	in	in	ADP
alkej-905	282	27	thin	thin	ADJ
alkej-905	282	28	plate	plate	NOUN
alkej-905	282	29	on	on	ADP
alkej-905	282	30	dynamic	dynamic	ADJ
alkej-905	282	31	crack	crack	NOUN
alkej-905	282	32	propagation	propagation	NOUN
alkej-905	282	33	under	under	ADP
alkej-905	282	34	cycling	cycle	VERB
alkej-905	282	35	thermal	thermal	ADJ
alkej-905	282	36	effect	effect	NOUN
alkej-905	282	37	,	,	PUNCT
alkej-905	282	38	”	"	PUNCT
alkej-905	282	39	2020	2020	NUM
alkej-905	282	40	.	.	PUNCT
alkej-905	283	1	[	[	X
alkej-905	283	2	11	11	NUM
alkej-905	283	3	]	]	X
alkej-905	283	4	f.	f.	PROPN
alkej-905	283	5	wang	wang	PROPN
alkej-905	283	6	,	,	PUNCT
alkej-905	283	7	z.	z.	PROPN
alkej-905	283	8	l.	l.	PROPN
alkej-905	283	9	he	he	PRON
alkej-905	283	10	,	,	PUNCT
alkej-905	283	11	s.	s.	PROPN
alkej-905	283	12	yang	yang	PROPN
alkej-905	283	13	,	,	PUNCT
alkej-905	283	14	z.	z.	PROPN
alkej-905	283	15	g.	g.	PROPN
alkej-905	283	16	fu	fu	PROPN
alkej-905	283	17	,	,	PUNCT
alkej-905	283	18	h.	h.	PROPN
alkej-905	283	19	li	li	PROPN
alkej-905	283	20	,	,	PUNCT
alkej-905	283	21	and	and	CCONJ
alkej-905	283	22	j.	j.	PROPN
alkej-905	283	23	h.	h.	PROPN
alkej-905	283	24	deng	deng	PROPN
alkej-905	283	25	,	,	PUNCT
alkej-905	283	26	“	"	PUNCT
alkej-905	283	27	investigation	investigation	NOUN
alkej-905	283	28	of	of	ADP
alkej-905	283	29	mixed	mixed	ADJ
alkej-905	283	30	-	-	PUNCT
alkej-905	283	31	mode	mode	NOUN
alkej-905	283	32	crack	crack	NOUN
alkej-905	283	33	propagation	propagation	NOUN
alkej-905	283	34	behaviour	behaviour	NOUN
alkej-905	283	35	under	under	ADP
alkej-905	283	36	impact	impact	NOUN
alkej-905	283	37	loading	loading	NOUN
alkej-905	283	38	,	,	PUNCT
alkej-905	283	39	”	"	PUNCT
alkej-905	283	40	iop	iop	NOUN
alkej-905	283	41	conf	conf	NOUN
alkej-905	283	42	.	.	PUNCT
alkej-905	284	1	ser	ser	PROPN
alkej-905	284	2	.	.	PROPN
alkej-905	284	3	earth	earth	PROPN
alkej-905	284	4	environ	environ	PROPN
alkej-905	284	5	.	.	PUNCT
alkej-905	285	1	sci	sci	PROPN
alkej-905	285	2	.	.	PROPN
alkej-905	285	3	,	,	PUNCT
alkej-905	285	4	vol	vol	NOUN
alkej-905	285	5	.	.	PROPN
alkej-905	285	6	861	861	NUM
alkej-905	285	7	,	,	PUNCT
alkej-905	285	8	no	no	INTJ
alkej-905	285	9	.	.	NOUN
alkej-905	285	10	4	4	NUM
alkej-905	285	11	,	,	PUNCT
alkej-905	285	12	p.	p.	NOUN
alkej-905	285	13	42007	42007	NUM
alkej-905	285	14	,	,	PUNCT
alkej-905	285	15	2021	2021	NUM
alkej-905	285	16	,	,	PUNCT
alkej-905	285	17	doi	doi	NOUN
alkej-905	285	18	:	:	PUNCT
alkej-905	285	19	10.1088/1755	10.1088/1755	NUM
alkej-905	285	20	-	-	SYM
alkej-905	285	21	1315/861/4/042007	1315/861/4/042007	NUM
alkej-905	285	22	.	.	PUNCT
alkej-905	286	1	[	[	X
alkej-905	286	2	12	12	NUM
alkej-905	286	3	]	]	PUNCT
alkej-905	286	4	a.	a.	PROPN
alkej-905	286	5	k.	k.	PROPN
alkej-905	286	6	vasudevan	vasudevan	PROPN
alkej-905	286	7	and	and	CCONJ
alkej-905	286	8	r.	r.	PROPN
alkej-905	286	9	d.	d.	PROPN
alkej-905	286	10	doherty	doherty	PROPN
alkej-905	286	11	,	,	PUNCT
alkej-905	286	12	aluminum	aluminum	NOUN
alkej-905	286	13	alloys	alloy	NOUN
alkej-905	286	14	--	--	PUNCT
alkej-905	286	15	contemporary	contemporary	ADJ
alkej-905	286	16	research	research	NOUN
alkej-905	286	17	and	and	CCONJ
alkej-905	286	18	applications	application	NOUN
alkej-905	286	19	:	:	PUNCT
alkej-905	286	20	contemporary	contemporary	ADJ
alkej-905	286	21	research	research	NOUN
alkej-905	286	22	and	and	CCONJ
alkej-905	286	23	applications	application	NOUN
alkej-905	286	24	.	.	PUNCT
alkej-905	287	1	in	in	ADP
alkej-905	287	2	issn	issn	PROPN
alkej-905	287	3	.	.	PUNCT
alkej-905	288	1	elsevier	elsevier	PROPN
alkej-905	288	2	science	science	PROPN
alkej-905	288	3	,	,	PUNCT
alkej-905	288	4	2012	2012	NUM
alkej-905	288	5	.	.	PUNCT
alkej-905	289	1	[	[	X
alkej-905	289	2	online	online	X
alkej-905	289	3	]	]	X
alkej-905	289	4	.	.	PUNCT
alkej-905	290	1	available	available	ADJ
alkej-905	290	2	:	:	PUNCT
alkej-905	290	3	https://books.google.iq/books?id=jgyaa1sta	https://books.google.iq/books?id=jgyaa1sta	X
alkej-905	290	4	xec	xec	PROPN
alkej-905	291	1	[	[	X
alkej-905	291	2	13	13	NUM
alkej-905	291	3	]	]	PUNCT
alkej-905	291	4	r.	r.	PROPN
alkej-905	291	5	j.	j.	PROPN
alkej-905	291	6	bucci	bucci	PROPN
alkej-905	291	7	,	,	PUNCT
alkej-905	291	8	“	"	PUNCT
alkej-905	291	9	selecting	select	VERB
alkej-905	291	10	aluminum	aluminum	NOUN
alkej-905	291	11	alloys	alloy	NOUN
alkej-905	291	12	to	to	PART
alkej-905	291	13	resist	resist	VERB
alkej-905	291	14	failure	failure	NOUN
alkej-905	291	15	by	by	ADP
alkej-905	291	16	fracture	fracture	ADJ
alkej-905	291	17	mechanisms	mechanism	NOUN
alkej-905	291	18	,	,	PUNCT
alkej-905	291	19	”	"	PUNCT
alkej-905	291	20	eng	eng	PROPN
alkej-905	291	21	.	.	PROPN
alkej-905	291	22	fract	fract	PROPN
alkej-905	291	23	.	.	PUNCT
alkej-905	292	1	mech	mech	PROPN
alkej-905	292	2	.	.	PUNCT
alkej-905	292	3	,	,	PUNCT
alkej-905	292	4	vol	vol	NOUN
alkej-905	292	5	.	.	PROPN
alkej-905	292	6	12	12	NUM
alkej-905	292	7	,	,	PUNCT
alkej-905	292	8	no	no	INTJ
alkej-905	292	9	.	.	NOUN
alkej-905	292	10	3	3	NUM
alkej-905	292	11	,	,	PUNCT
alkej-905	292	12	pp	pp	ADJ
alkej-905	292	13	.	.	PUNCT
alkej-905	293	1	407–441	407–441	NUM
alkej-905	293	2	,	,	PUNCT
alkej-905	293	3	1979	1979	NUM
alkej-905	293	4	,	,	PUNCT
alkej-905	293	5	doi	doi	NOUN
alkej-905	293	6	:	:	PUNCT
alkej-905	293	7	https://doi.org/10.1016/00137944(79)90053-5	https://doi.org/10.1016/00137944(79)90053-5	NOUN
alkej-905	293	8	.	.	PUNCT
alkej-905	294	1	[	[	X
alkej-905	294	2	14	14	NUM
alkej-905	294	3	]	]	X
alkej-905	294	4	r.	r.	PROPN
alkej-905	294	5	yamada	yamada	PROPN
alkej-905	294	6	,	,	PUNCT
alkej-905	294	7	s.	s.	PROPN
alkej-905	294	8	ishizawa	ishizawa	PROPN
alkej-905	294	9	,	,	PUNCT
alkej-905	294	10	g.	g.	PROPN
alkej-905	294	11	itoh	itoh	PROPN
alkej-905	294	12	,	,	PUNCT
alkej-905	294	13	a.	a.	PROPN
alkej-905	294	14	kurumada	kurumada	PROPN
alkej-905	294	15	,	,	PUNCT
alkej-905	294	16	and	and	CCONJ
alkej-905	294	17	m.	m.	PROPN
alkej-905	294	18	nakai	nakai	PROPN
alkej-905	294	19	,	,	PUNCT
alkej-905	294	20	“	"	PUNCT
alkej-905	294	21	effects	effect	NOUN
alkej-905	294	22	of	of	ADP
alkej-905	294	23	environment	environment	NOUN
alkej-905	294	24	on	on	ADP
alkej-905	294	25	fatigue	fatigue	NOUN
alkej-905	294	26	crack	crack	NOUN
alkej-905	294	27	growth	growth	NOUN
alkej-905	294	28	behavior	behavior	NOUN
alkej-905	294	29	of	of	ADP
alkej-905	294	30	2000	2000	NUM
alkej-905	294	31	and	and	CCONJ
alkej-905	294	32	7000	7000	NUM
alkej-905	294	33	series	series	NOUN
alkej-905	294	34	aluminum	aluminum	NOUN
alkej-905	294	35	alloys	alloy	NOUN
alkej-905	294	36	,	,	PUNCT
alkej-905	294	37	”	"	PUNCT
alkej-905	294	38	l.	l.	PROPN
alkej-905	294	39	b.	b.	PROPN
alkej-905	294	40	t.-r	t.-r	PROPN
alkej-905	294	41	.	.	PUNCT
alkej-905	295	1	a.	a.	PROPN
alkej-905	295	2	in	in	ADP
alkej-905	295	3	s.	s.	PROPN
alkej-905	295	4	i.	i.	PROPN
alkej-905	295	5	a.-p	a.-p	PROPN
alkej-905	295	6	.	.	PUNCT
alkej-905	296	1	of	of	ADP
alkej-905	296	2	the	the	DET
alkej-905	296	3	i.	i.	PROPN
alkej-905	296	4	c.	c.	PROPN
alkej-905	296	5	(	(	PUNCT
alkej-905	296	6	apcf	apcf	PROPN
alkej-905	296	7	/	/	SYM
alkej-905	296	8	sif-2014	sif-2014	NOUN
alkej-905	296	9	)	)	PUNCT
alkej-905	296	10	ye	ye	ADP
alkej-905	296	11	,	,	PUNCT
alkej-905	296	12	ed	ed	NOUN
alkej-905	296	13	.	.	PROPN
alkej-905	296	14	,	,	PUNCT
alkej-905	296	15	oxford	oxford	PROPN
alkej-905	296	16	:	:	PUNCT
alkej-905	296	17	woodhead	woodhead	NOUN
alkej-905	296	18	publishing	publishing	NOUN
alkej-905	296	19	,	,	PUNCT
alkej-905	296	20	2014	2014	NUM
alkej-905	296	21	,	,	PUNCT
alkej-905	296	22	pp	pp	ADV
alkej-905	296	23	.	.	PUNCT
alkej-905	297	1	123–126	123–126	NUM
alkej-905	297	2	.	.	PUNCT
alkej-905	298	1	doi	doi	NOUN
alkej-905	298	2	:	:	PUNCT
alkej-905	298	3	https://doi.org/10.1533/9780081002254.123	https://doi.org/10.1533/9780081002254.123	PROPN
alkej-905	298	4	.	.	PUNCT
alkej-905	299	1	[	[	X
alkej-905	299	2	15	15	NUM
alkej-905	299	3	]	]	X
alkej-905	299	4	m.	m.	NOUN
alkej-905	299	5	d.	d.	PROPN
alkej-905	299	6	vijayakumar	vijayakumar	PROPN
alkej-905	299	7	,	,	PUNCT
alkej-905	299	8	v.	v.	ADP
alkej-905	299	9	dhinakaran	dhinakaran	PROPN
alkej-905	299	10	,	,	PUNCT
alkej-905	299	11	t.	t.	NOUN
alkej-905	299	12	sathish	sathish	PROPN
alkej-905	299	13	,	,	PUNCT
alkej-905	299	14	g.	g.	PROPN
alkej-905	299	15	muthu	muthu	PROPN
alkej-905	299	16	,	,	PUNCT
alkej-905	299	17	and	and	CCONJ
alkej-905	299	18	p.	p.	PROPN
alkej-905	299	19	m.	m.	PROPN
alkej-905	299	20	b.	b.	PROPN
alkej-905	299	21	ram	ram	PROPN
alkej-905	299	22	,	,	PUNCT
alkej-905	299	23	“	"	PUNCT
alkej-905	299	24	experimental	experimental	ADJ
alkej-905	299	25	study	study	NOUN
alkej-905	299	26	of	of	ADP
alkej-905	299	27	chemical	chemical	ADJ
alkej-905	299	28	composition	composition	NOUN
alkej-905	299	29	of	of	ADP
alkej-905	299	30	aluminium	aluminium	NOUN
alkej-905	299	31	alloys	alloy	NOUN
alkej-905	299	32	,	,	PUNCT
alkej-905	299	33	”	"	PUNCT
alkej-905	299	34	mater	mater	NOUN
alkej-905	299	35	.	.	PUNCT
alkej-905	300	1	today	today	NOUN
alkej-905	300	2	proc	proc	NOUN
alkej-905	300	3	.	.	PROPN
alkej-905	300	4	,	,	PUNCT
alkej-905	300	5	vol	vol	NOUN
alkej-905	300	6	.	.	PROPN
alkej-905	301	1	37	37	NUM
alkej-905	301	2	,	,	PUNCT
alkej-905	301	3	pp	pp	ADJ
alkej-905	301	4	.	.	PUNCT
alkej-905	302	1	1790	1790	NUM
alkej-905	302	2	–	–	PUNCT
alkej-905	302	3	1793	1793	NUM
alkej-905	302	4	,	,	PUNCT
alkej-905	302	5	2021	2021	NUM
alkej-905	302	6	,	,	PUNCT
alkej-905	302	7	doi	doi	NOUN
alkej-905	302	8	:	:	PUNCT
alkej-905	302	9	https://doi.org/10.1016/j.matpr.2020.07.391	https://doi.org/10.1016/j.matpr.2020.07.391	PROPN
alkej-905	302	10	.	.	PUNCT
alkej-905	303	1	[	[	X
alkej-905	303	2	16	16	NUM
alkej-905	303	3	]	]	X
alkej-905	303	4	h.	h.	PROPN
alkej-905	303	5	tada	tada	PROPN
alkej-905	303	6	,	,	PUNCT
alkej-905	303	7	h.	h.	PROPN
alkej-905	303	8	a.	a.	PROPN
alkej-905	303	9	ernst	ernst	PROPN
alkej-905	303	10	,	,	PUNCT
alkej-905	303	11	and	and	CCONJ
alkej-905	303	12	p.	p.	PROPN
alkej-905	303	13	c.	c.	PROPN
alkej-905	303	14	paris	paris	PROPN
alkej-905	303	15	,	,	PUNCT
alkej-905	303	16	israa	israa	NOUN
alkej-905	303	17	abed	abe	VERB
alkej-905	303	18	alrazak	alrazak	PROPN
alkej-905	303	19	al	al	PROPN
alkej-905	303	20	-	-	PUNCT
alkej-905	303	21	khwarizmi	khwarizmi	PROPN
alkej-905	303	22	engineering	engineering	NOUN
alkej-905	303	23	journal	journal	PROPN
alkej-905	303	24	,	,	PUNCT
alkej-905	303	25	vol	vol	NOUN
alkej-905	303	26	.	.	PROPN
alkej-905	303	27	20	20	NUM
alkej-905	303	28	,	,	PUNCT
alkej-905	303	29	no.4	no.4	PROPN
alkej-905	303	30	,	,	PUNCT
alkej-905	303	31	p.p	p.p	PROPN
alkej-905	303	32	.	.	PROPN
alkej-905	303	33	58–69(2024	58–69(2024	NUM
alkej-905	303	34	)	)	PUNCT
alkej-905	303	35	68	68	NUM
alkej-905	303	36	“	"	PUNCT
alkej-905	303	37	westergaard	westergaard	X
alkej-905	303	38	stress	stress	NOUN
alkej-905	303	39	functions	function	NOUN
alkej-905	303	40	for	for	ADP
alkej-905	303	41	displacement	displacement	NOUN
alkej-905	303	42	-	-	PUNCT
alkej-905	303	43	prescribed	prescribe	VERB
alkej-905	303	44	crack	crack	NOUN
alkej-905	303	45	problems	problem	NOUN
alkej-905	303	46	—	—	PUNCT
alkej-905	303	47	i	i	PRON
alkej-905	303	48	,	,	PUNCT
alkej-905	303	49	”	"	PUNCT
alkej-905	303	50	int	int	NOUN
alkej-905	303	51	.	.	PUNCT
alkej-905	304	1	j.	j.	PROPN
alkej-905	304	2	fract	fract	PROPN
alkej-905	304	3	.	.	PUNCT
alkej-905	304	4	,	,	PUNCT
alkej-905	304	5	vol	vol	NOUN
alkej-905	304	6	.	.	PROPN
alkej-905	304	7	61	61	NUM
alkej-905	304	8	,	,	PUNCT
alkej-905	304	9	no	no	INTJ
alkej-905	304	10	.	.	NOUN
alkej-905	304	11	1	1	NUM
alkej-905	304	12	,	,	PUNCT
alkej-905	304	13	pp	pp	ADJ
alkej-905	304	14	.	.	PUNCT
alkej-905	304	15	39–53	39–53	NUM
alkej-905	304	16	,	,	PUNCT
alkej-905	304	17	1993	1993	NUM
alkej-905	304	18	,	,	PUNCT
alkej-905	304	19	doi	doi	NOUN
alkej-905	304	20	:	:	PUNCT
alkej-905	304	21	10.1007	10.1007	NUM
alkej-905	304	22	/	/	SYM
alkej-905	304	23	bf00032338	bf00032338	NOUN
alkej-905	304	24	.	.	PUNCT
alkej-905	305	1	[	[	X
alkej-905	305	2	17	17	NUM
alkej-905	305	3	]	]	X
alkej-905	305	4	l.	l.	PROPN
alkej-905	305	5	ewalds	ewalds	PROPN
alkej-905	305	6	,	,	PUNCT
alkej-905	305	7	h	h	NOUN
alkej-905	305	8	and	and	CCONJ
alkej-905	305	9	h.	h.	PROPN
alkej-905	305	10	wanhill	wanhill	PROPN
alkej-905	305	11	,	,	PUNCT
alkej-905	305	12	r	r	PROPN
alkej-905	305	13	,	,	PUNCT
alkej-905	305	14	j	j	NOUN
alkej-905	305	15	,	,	PUNCT
alkej-905	305	16	fracture	fracture	NOUN
alkej-905	305	17	mechanics	mechanic	NOUN
alkej-905	305	18	,	,	PUNCT
alkej-905	305	19	fourth	fourth	ADJ
alkej-905	305	20	.	.	PUNCT
alkej-905	306	1	london	london	PROPN
alkej-905	306	2	:	:	PUNCT
alkej-905	306	3	edwrd	edwrd	PROPN
alkej-905	306	4	arnold	arnold	PROPN
alkej-905	306	5	,	,	PUNCT
alkej-905	306	6	1989	1989	NUM
alkej-905	306	7	.	.	PUNCT
alkej-905	307	1	[	[	X
alkej-905	307	2	18	18	NUM
alkej-905	307	3	]	]	PUNCT
alkej-905	307	4	s.	s.	PROPN
alkej-905	307	5	e.	e.	PROPN
alkej-905	307	6	a.	a.	PROPN
alkej-905	307	7	b.	b.	PROPN
alkej-905	307	8	abdel	abdel	PROPN
alkej-905	307	9	-	-	PUNCT
alkej-905	307	10	rahman	rahman	PROPN
alkej-905	307	11	a.	a.	PROPN
alkej-905	307	12	ragab	ragab	PROPN
alkej-905	307	13	,	,	PUNCT
alkej-905	307	14	engineering	engineer	VERB
alkej-905	307	15	solid	solid	ADJ
alkej-905	307	16	mechanics	mechanic	NOUN
alkej-905	307	17	,	,	PUNCT
alkej-905	307	18	fist	fist	NOUN
alkej-905	307	19	.	.	PUNCT
alkej-905	308	1	boca	boca	PROPN
alkej-905	308	2	raton	raton	PROPN
alkej-905	308	3	:	:	PUNCT
alkej-905	308	4	20	20	NUM
alkej-905	308	5	december	december	PROPN
alkej-905	308	6	2019	2019	NUM
alkej-905	308	7	,	,	PUNCT
alkej-905	308	8	1998	1998	NUM
alkej-905	308	9	.	.	PUNCT
alkej-905	309	1	doi	doi	NOUN
alkej-905	309	2	:	:	PUNCT
alkej-905	309	3	https://doi.org/10.1201/9780203757307	https://doi.org/10.1201/9780203757307	NUM
alkej-905	309	4	.	.	PUNCT
alkej-905	310	1	[	[	X
alkej-905	310	2	19	19	NUM
alkej-905	310	3	]	]	X
alkej-905	310	4	[	[	X
alkej-905	310	5	19	19	NUM
alkej-905	310	6	]	]	X
alkej-905	310	7	r.	r.	PROPN
alkej-905	310	8	l.	l.	PROPN
alkej-905	310	9	liboff	liboff	PROPN
alkej-905	310	10	,	,	PUNCT
alkej-905	310	11	kinetic	kinetic	ADJ
alkej-905	310	12	theory	theory	NOUN
alkej-905	310	13	:	:	PUNCT
alkej-905	310	14	classical	classical	ADJ
alkej-905	310	15	,	,	PUNCT
alkej-905	310	16	quantum	quantum	NOUN
alkej-905	310	17	,	,	PUNCT
alkej-905	310	18	and	and	CCONJ
alkej-905	310	19	relativistic	relativistic	ADJ
alkej-905	310	20	descriptions	description	NOUN
alkej-905	310	21	.	.	PUNCT
alkej-905	311	1	in	in	ADP
alkej-905	311	2	graduate	graduate	NOUN
alkej-905	311	3	texts	text	NOUN
alkej-905	311	4	in	in	ADP
alkej-905	311	5	contemporary	contemporary	ADJ
alkej-905	311	6	physics	physics	PROPN
alkej-905	311	7	.	.	PUNCT
alkej-905	311	8	springer	springer	PROPN
alkej-905	311	9	,	,	PUNCT
alkej-905	311	10	new	new	PROPN
alkej-905	311	11	york	york	PROPN
alkej-905	311	12	,	,	PUNCT
alkej-905	311	13	2006	2006	NUM
alkej-905	311	14	.	.	PUNCT
alkej-905	312	1	[	[	X
alkej-905	312	2	online	online	X
alkej-905	312	3	]	]	X
alkej-905	312	4	.	.	PUNCT
alkej-905	313	1	available	available	ADJ
alkej-905	313	2	:	:	PUNCT
alkej-905	313	3	https://books.google.iq/books?id=iqasbwaa	https://books.google.iq/books?id=iqasbwaa	PROPN
alkej-905	313	4	qbaj	qbaj	NOUN
alkej-905	314	1	[	[	X
alkej-905	314	2	20	20	NUM
alkej-905	314	3	]	]	X
alkej-905	314	4	j.	j.	PROPN
alkej-905	314	5	knot	knot	PROPN
alkej-905	314	6	,	,	PUNCT
alkej-905	314	7	fundamentals	fundamental	NOUN
alkej-905	314	8	of	of	ADP
alkej-905	314	9	fracture	fracture	NOUN
alkej-905	314	10	mechanics	mechanic	NOUN
alkej-905	314	11	,	,	PUNCT
alkej-905	314	12	first	first	ADV
alkej-905	314	13	.	.	PUNCT
alkej-905	315	1	london	london	PROPN
alkej-905	315	2	,	,	PUNCT
alkej-905	315	3	1973	1973	NUM
alkej-905	315	4	.	.	PUNCT
alkej-905	316	1	[	[	X
alkej-905	316	2	21	21	NUM
alkej-905	316	3	]	]	PUNCT
alkej-905	316	4	k.	k.	PROPN
alkej-905	316	5	sadananda	sadananda	PROPN
alkej-905	316	6	,	,	PUNCT
alkej-905	316	7	k.	k.	PROPN
alkej-905	316	8	n.	n.	PROPN
alkej-905	316	9	solanki	solanki	PROPN
alkej-905	316	10	,	,	PUNCT
alkej-905	316	11	and	and	CCONJ
alkej-905	316	12	a.	a.	PROPN
alkej-905	316	13	k.	k.	PROPN
alkej-905	316	14	vasudevan	vasudevan	PROPN
alkej-905	316	15	,	,	PUNCT
alkej-905	316	16	“	"	PUNCT
alkej-905	316	17	subcritical	subcritical	ADJ
alkej-905	316	18	crack	crack	NOUN
alkej-905	316	19	growth	growth	NOUN
alkej-905	316	20	and	and	CCONJ
alkej-905	316	21	crack	crack	VERB
alkej-905	316	22	tip	tip	NOUN
alkej-905	316	23	driving	driving	NOUN
alkej-905	316	24	forces	force	NOUN
alkej-905	316	25	in	in	ADP
alkej-905	316	26	relation	relation	NOUN
alkej-905	316	27	to	to	ADP
alkej-905	316	28	material	material	NOUN
alkej-905	316	29	resistance	resistance	NOUN
alkej-905	316	30	,	,	PUNCT
alkej-905	316	31	”	"	PUNCT
alkej-905	316	32	vol	vol	NOUN
alkej-905	316	33	.	.	PROPN
alkej-905	316	34	35	35	NUM
alkej-905	316	35	,	,	PUNCT
alkej-905	316	36	no	no	INTJ
alkej-905	316	37	.	.	PUNCT
alkej-905	317	1	4–5	4–5	NUM
alkej-905	317	2	,	,	PUNCT
alkej-905	317	3	pp	pp	ADJ
alkej-905	317	4	.	.	PUNCT
alkej-905	318	1	251–265	251–265	NUM
alkej-905	318	2	,	,	PUNCT
alkej-905	318	3	2017	2017	NUM
alkej-905	318	4	,	,	PUNCT
alkej-905	318	5	doi	doi	NOUN
alkej-905	318	6	:	:	PUNCT
alkej-905	318	7	doi:10.1515	doi:10.1515	NOUN
alkej-905	318	8	/	/	SYM
alkej-905	318	9	corrrev-2017	corrrev-2017	NOUN
alkej-905	318	10	-	-	PUNCT
alkej-905	318	11	0034	0034	NUM
alkej-905	318	12	.	.	PUNCT
alkej-905	319	1	[	[	X
alkej-905	319	2	22	22	NUM
alkej-905	319	3	]	]	PUNCT
alkej-905	319	4	s.	s.	PROPN
alkej-905	319	5	alkan	alkan	PROPN
alkej-905	319	6	,	,	PUNCT
alkej-905	319	7	p.	p.	PROPN
alkej-905	319	8	chowdhury	chowdhury	PROPN
alkej-905	319	9	,	,	PUNCT
alkej-905	319	10	h.	h.	PROPN
alkej-905	319	11	sehitoglu	sehitoglu	PROPN
alkej-905	319	12	,	,	PUNCT
alkej-905	319	13	r.	r.	PROPN
alkej-905	319	14	g.	g.	PROPN
alkej-905	319	15	rateick	rateick	PROPN
alkej-905	319	16	,	,	PUNCT
alkej-905	319	17	and	and	CCONJ
alkej-905	319	18	h.	h.	PROPN
alkej-905	319	19	j.	j.	PROPN
alkej-905	319	20	maier	maier	PROPN
alkej-905	319	21	,	,	PUNCT
alkej-905	319	22	“	"	PUNCT
alkej-905	319	23	role	role	NOUN
alkej-905	319	24	of	of	ADP
alkej-905	319	25	nanotwins	nanotwin	NOUN
alkej-905	319	26	on	on	ADP
alkej-905	319	27	fatigue	fatigue	NOUN
alkej-905	319	28	crack	crack	NOUN
alkej-905	319	29	growth	growth	NOUN
alkej-905	319	30	resistance	resistance	NOUN
alkej-905	319	31	–	–	PUNCT
alkej-905	319	32	experiments	experiment	NOUN
alkej-905	319	33	and	and	CCONJ
alkej-905	319	34	theory	theory	NOUN
alkej-905	319	35	,	,	PUNCT
alkej-905	319	36	”	"	PUNCT
alkej-905	319	37	int	int	NOUN
alkej-905	319	38	.	.	PUNCT
alkej-905	320	1	j.	j.	PROPN
alkej-905	320	2	fatigue	fatigue	PROPN
alkej-905	320	3	,	,	PUNCT
alkej-905	320	4	vol	vol	NOUN
alkej-905	320	5	.	.	PROPN
alkej-905	320	6	84	84	NUM
alkej-905	320	7	,	,	PUNCT
alkej-905	320	8	pp	pp	ADJ
alkej-905	320	9	.	.	PUNCT
alkej-905	321	1	28–39	28–39	NUM
alkej-905	321	2	,	,	PUNCT
alkej-905	321	3	2016	2016	NUM
alkej-905	321	4	,	,	PUNCT
alkej-905	321	5	doi	doi	NOUN
alkej-905	321	6	:	:	PUNCT
alkej-905	321	7	https://doi.org/10.1016/j.ijfatigue.2015.11.01	https://doi.org/10.1016/j.ijfatigue.2015.11.01	PROPN
alkej-905	321	8	.	.	PUNCT
alkej-905	322	1	[	[	X
alkej-905	322	2	23	23	NUM
alkej-905	322	3	]	]	PUNCT
alkej-905	322	4	s.	s.	PROPN
alkej-905	322	5	hussein	hussein	PROPN
alkej-905	322	6	,	,	PUNCT
alkej-905	322	7	m.	m.	PROPN
alkej-905	322	8	al	al	PROPN
alkej-905	322	9	-	-	PUNCT
alkej-905	322	10	shammari	shammari	PROPN
alkej-905	322	11	,	,	PUNCT
alkej-905	322	12	a.	a.	NOUN
alkej-905	322	13	takhakh	takhakh	PROPN
alkej-905	322	14	,	,	PUNCT
alkej-905	322	15	and	and	CCONJ
alkej-905	322	16	m.	m.	PROPN
alkej-905	322	17	al	al	PROPN
alkej-905	322	18	-	-	PUNCT
alkej-905	322	19	waily	waily	NOUN
alkej-905	322	20	,	,	PUNCT
alkej-905	322	21	“	"	PUNCT
alkej-905	322	22	effect	effect	NOUN
alkej-905	322	23	of	of	ADP
alkej-905	322	24	heat	heat	NOUN
alkej-905	322	25	treatment	treatment	NOUN
alkej-905	322	26	on	on	ADP
alkej-905	322	27	mechanical	mechanical	ADJ
alkej-905	322	28	and	and	CCONJ
alkej-905	322	29	vibration	vibration	NOUN
alkej-905	322	30	properties	property	NOUN
alkej-905	322	31	for	for	ADP
alkej-905	322	32	6061	6061	NUM
alkej-905	322	33	and	and	CCONJ
alkej-905	322	34	2024	2024	NUM
alkej-905	322	35	aluminum	aluminum	NOUN
alkej-905	322	36	alloys	alloy	NOUN
alkej-905	322	37	,	,	PUNCT
alkej-905	322	38	”	"	PUNCT
alkej-905	322	39	j.	j.	PROPN
alkej-905	322	40	mech	mech	PROPN
alkej-905	322	41	.	.	PUNCT
alkej-905	323	1	eng	eng	PROPN
alkej-905	323	2	.	.	PUNCT
alkej-905	324	1	res	res	PROPN
alkej-905	324	2	.	.	PUNCT
alkej-905	325	1	dev	dev	PROPN
alkej-905	325	2	.	.	PROPN
alkej-905	325	3	,	,	PUNCT
alkej-905	325	4	vol	vol	NOUN
alkej-905	325	5	.	.	PROPN
alkej-905	326	1	43	43	NUM
alkej-905	326	2	,	,	PUNCT
alkej-905	326	3	pp	pp	ADJ
alkej-905	326	4	.	.	PUNCT
alkej-905	327	1	48–66	48–66	NUM
alkej-905	327	2	,	,	PUNCT
alkej-905	327	3	jan	jan	PROPN
alkej-905	327	4	.	.	PROPN
alkej-905	327	5	2020	2020	NUM
alkej-905	327	6	.	.	PUNCT
alkej-905	328	1	[	[	X
alkej-905	328	2	24	24	NUM
alkej-905	328	3	]	]	X
alkej-905	328	4	s.	s.	PROPN
alkej-905	328	5	keil	keil	PROPN
alkej-905	328	6	,	,	PUNCT
alkej-905	328	7	technology	technology	NOUN
alkej-905	328	8	and	and	CCONJ
alkej-905	328	9	practical	practical	ADJ
alkej-905	328	10	use	use	NOUN
alkej-905	328	11	of	of	ADP
alkej-905	328	12	strain	strain	ADJ
alkej-905	328	13	gages	gage	NOUN
alkej-905	328	14	:	:	PUNCT
alkej-905	328	15	with	with	ADP
alkej-905	328	16	particular	particular	ADJ
alkej-905	328	17	consideration	consideration	NOUN
alkej-905	328	18	of	of	ADP
alkej-905	328	19	stress	stress	ADJ
alkej-905	328	20	analysis	analysis	NOUN
alkej-905	328	21	using	use	VERB
alkej-905	328	22	strain	strain	NOUN
alkej-905	328	23	gages	gage	NOUN
alkej-905	328	24	.	.	PUNCT
alkej-905	329	1	wiley	wiley	PROPN
alkej-905	329	2	,	,	PUNCT
alkej-905	329	3	2017	2017	NUM
alkej-905	329	4	.	.	PUNCT
alkej-905	330	1	[	[	X
alkej-905	330	2	online	online	X
alkej-905	330	3	]	]	X
alkej-905	330	4	.	.	PUNCT
alkej-905	331	1	available	available	ADJ
alkej-905	331	2	:	:	PUNCT
alkej-905	331	3	https://books.google.iq/books?id=7kozdwaa	https://books.google.iq/books?id=7kozdwaa	PROPN
alkej-905	331	4	qbaj	qbaj	PROPN
alkej-905	332	1	[	[	X
alkej-905	332	2	25	25	NUM
alkej-905	332	3	]	]	PUNCT
alkej-905	332	4	t.	t.	PROPN
alkej-905	332	5	baral	baral	PROPN
alkej-905	332	6	,	,	PUNCT
alkej-905	332	7	paris	paris	PROPN
alkej-905	332	8	’	'	PUNCT
alkej-905	332	9	law	law	NOUN
alkej-905	332	10	parameters	parameter	NOUN
alkej-905	332	11	estimation	estimation	NOUN
alkej-905	332	12	for	for	ADP
alkej-905	332	13	fatigue	fatigue	NOUN
alkej-905	332	14	crack	crack	NOUN
alkej-905	332	15	prediction	prediction	NOUN
alkej-905	332	16	of	of	ADP
alkej-905	332	17	an	an	DET
alkej-905	332	18	aluminum	aluminum	NOUN
alkej-905	332	19	alloy	alloy	NOUN
alkej-905	332	20	plate	plate	NOUN
alkej-905	332	21	under	under	ADP
alkej-905	332	22	cyclic	cyclic	ADJ
alkej-905	332	23	loading	loading	NOUN
alkej-905	332	24	.	.	PUNCT
alkej-905	333	1	university	university	PROPN
alkej-905	333	2	of	of	ADP
alkej-905	333	3	manitoba	manitoba	PROPN
alkej-905	333	4	,	,	PUNCT
alkej-905	333	5	2022.https://books.google.iq/books?id=comm	2022.https://books.google.iq/books?id=comm	NOUN
alkej-905	333	6	zweacaaj	zweacaaj	NOUN
alkej-905	334	1	[	[	X
alkej-905	334	2	26	26	NUM
alkej-905	334	3	]	]	X
alkej-905	334	4	d.-c	d.-c	NOUN
alkej-905	334	5	.	.	PUNCT
alkej-905	335	1	ko	ko	PROPN
alkej-905	335	2	,	,	PUNCT
alkej-905	335	3	d.-h	d.-h	PROPN
alkej-905	335	4	.	.	PUNCT
alkej-905	336	1	ko	ko	PROPN
alkej-905	336	2	,	,	PUNCT
alkej-905	336	3	j.-h	j.-h	PROPN
alkej-905	336	4	.	.	PUNCT
alkej-905	337	1	kim	kim	PROPN
alkej-905	337	2	,	,	PUNCT
alkej-905	337	3	and	and	CCONJ
alkej-905	337	4	j.-h	j.-h	NOUN
alkej-905	337	5	.	.	PUNCT
alkej-905	338	1	park	park	NOUN
alkej-905	338	2	,	,	PUNCT
alkej-905	338	3	“	"	PUNCT
alkej-905	338	4	development	development	NOUN
alkej-905	338	5	of	of	ADP
alkej-905	338	6	a	a	DET
alkej-905	338	7	partition	partition	NOUN
alkej-905	338	8	panel	panel	NOUN
alkej-905	338	9	of	of	ADP
alkej-905	338	10	an	an	DET
alkej-905	338	11	al6061	al6061	NOUN
alkej-905	338	12	sheet	sheet	NOUN
alkej-905	338	13	metal	metal	NOUN
alkej-905	338	14	part	part	NOUN
alkej-905	338	15	for	for	ADP
alkej-905	338	16	the	the	DET
alkej-905	338	17	improvement	improvement	NOUN
alkej-905	338	18	of	of	ADP
alkej-905	338	19	formability	formability	NOUN
alkej-905	338	20	and	and	CCONJ
alkej-905	338	21	mechanical	mechanical	ADJ
alkej-905	338	22	properties	property	NOUN
alkej-905	338	23	by	by	ADP
alkej-905	338	24	hot	hot	ADJ
alkej-905	338	25	forming	form	VERB
alkej-905	338	26	quenching	quenching	NOUN
alkej-905	338	27	,	,	PUNCT
alkej-905	338	28	”	"	PUNCT
alkej-905	338	29	adv	adv	PROPN
alkej-905	338	30	.	.	PROPN
alkej-905	338	31	mech	mech	PROPN
alkej-905	338	32	.	.	PUNCT
alkej-905	339	1	eng	eng	PROPN
alkej-905	339	2	.	.	PROPN
alkej-905	339	3	,	,	PUNCT
alkej-905	339	4	vol	vol	NOUN
alkej-905	339	5	.	.	PROPN
alkej-905	339	6	9	9	NUM
alkej-905	339	7	,	,	PUNCT
alkej-905	339	8	no	no	INTJ
alkej-905	339	9	.	.	NOUN
alkej-905	339	10	2	2	NUM
alkej-905	339	11	,	,	PUNCT
alkej-905	339	12	p.	p.	NOUN
alkej-905	339	13	1687814017691213	1687814017691213	NUM
alkej-905	339	14	,	,	PUNCT
alkej-905	339	15	feb	feb	PROPN
alkej-905	339	16	.	.	PROPN
alkej-905	339	17	2017	2017	NUM
alkej-905	339	18	,	,	PUNCT
alkej-905	339	19	doi	doi	NOUN
alkej-905	339	20	:	:	PUNCT
alkej-905	339	21	10.1177/1687814017691213	10.1177/1687814017691213	NUM
alkej-905	339	22	.	.	PUNCT
alkej-905	340	1	(	(	PUNCT
alkej-905	340	2	2024	2024	NUM
alkej-905	340	3	)	)	PUNCT
alkej-905	340	4	58–69	58–69	NUM
alkej-905	340	5	،	،	NOUN
alkej-905	340	6	صفحة	صفحة	NOUN
alkej-905	340	7	4	4	NUM
alkej-905	340	8	،	،	X
alkej-905	340	9	العدد20مجلة	العدد20مجلة	PROPN
alkej-905	340	10	الخوارزمي	الخوارزمي	VERB
alkej-905	340	11	الهندسية	الهندسية	PROPN
alkej-905	340	12	المجلد	المجلد	PROPN
alkej-905	340	13	اسراء	اسراء	PROPN
alkej-905	340	14	عبد	عبد	PROPN
alkej-905	340	15	الرزاق	الرزاق	PROPN
alkej-905	341	1	مصلح	مصلح	ADV
alkej-905	341	2	69	69	NUM
alkej-905	341	3	بتسليط	بتسليط	NOUN
alkej-905	341	4	حمل	حمل	NOUN
alkej-905	341	5	الشد	الشد	PROPN
alkej-905	341	6	الثابت	الثابت	PROPN
alkej-905	341	7	مع	مع	PROPN
alkej-905	341	8	القص	القص	PROPN
alkej-905	341	9	الدوري	الدوري	PROPN
alkej-905	341	10	على	على	PROPN
alkej-905	341	11	انتشار	انتشار	PROPN
alkej-905	341	12	االحمال	االحمال	PROPN
alkej-905	341	13	المركبةدراسة	المركبةدراسة	PROPN
alkej-905	341	14	معدلة	معدلة	PROPN
alkej-905	341	15	لتأثير	لتأثير	PROPN
alkej-905	341	16	تشققات	تشققات	PROPN
alkej-905	341	17	الحواف	الحواف	PROPN
alkej-905	341	18	الديناميكية	الديناميكية	NOUN
alkej-905	341	19	في	في	ADP
alkej-905	341	20	صفيحة	صفيحة	ADJ
alkej-905	341	21	رقيقة	رقيقة	NOUN
alkej-905	341	22	من	من	PROPN
alkej-905	341	23	األلومنيوم	األلومنيوم	NOUN
alkej-905	341	24	2فتحي	2فتحي	NUM
alkej-905	341	25	عبد	عبد	PROPN
alkej-905	341	26	الصاحب	الصاحب	NOUN
alkej-905	341	27	الشماع	الشماع	PROPN
alkej-905	341	28	*	*	PUNCT
alkej-905	341	29	1اسراء	1اسراء	NUM
alkej-905	341	30	عبد	عبد	ADJ
alkej-905	341	31	الرزاق	الرزاق	NOUN
alkej-905	341	32	مصلح	مصلح	PROPN
alkej-905	341	33	الميكانيك	الميكانيك	PROPN
alkej-905	341	34	،	،	PROPN
alkej-905	341	35	كلية	كلية	PROPN
alkej-905	341	36	الهندسة	الهندسة	PROPN
alkej-905	341	37	،	،	PROPN
alkej-905	341	38	جامعة	جامعة	PROPN
alkej-905	341	39	بغداد	بغداد	PROPN
alkej-905	341	40	،	،	PROPN
alkej-905	341	41	العراق	العراق	PROPN
alkej-905	341	42	هندسة	هندسة	NOUN
alkej-905	341	43	قسم	قسم	VERB
alkej-905	341	44	2	2	NUM
alkej-905	341	45	،	،	NOUN
alkej-905	341	46	1	1	NUM
alkej-905	341	47	m@coeng.uobaghdad.edu.iq2003israa.mosleh	m@coeng.uobaghdad.edu.iq2003israa.mosleh	NOUN
alkej-905	341	48	البريد	البريد	VERB
alkej-905	341	49	االلكتروني	االلكتروني	NOUN
alkej-905	341	50	:*	:*	PROPN
alkej-905	341	51	المستخلص	المستخلص	VERB
alkej-905	341	52	وع	وع	ADP
alkej-905	341	53	معين	معين	ADJ
alkej-905	341	54	مننظرا	مننظرا	ADJ
alkej-905	341	55	لألهمية	لألهمية	ADJ
alkej-905	341	56	والمخاطر	والمخاطر	NOUN
alkej-905	341	57	المحتملة	المحتملة	PROPN
alkej-905	341	58	المرتبطة	المرتبطة	PROPN
alkej-905	341	59	بحدوث	بحدوث	PROPN
alkej-905	341	60	الشقوق	الشقوق	VERB
alkej-905	341	61	الميكانيكية	الميكانيكية	VERB
alkej-905	341	62	في	في	ADP
alkej-905	341	63	التطبيقات	التطبيقات	PROPN
alkej-905	341	64	الهندسية	الهندسية	PROPN
alkej-905	341	65	الهامة	الهامة	PROPN
alkej-905	341	66	،	،	PROPN
alkej-905	341	67	فقد	فقد	PUNCT
alkej-905	342	1	أصبح	أصبح	NOUN
alkej-905	342	2	من	من	INTJ
alkej-905	342	3	الضروري	الضروري	PROPN
alkej-905	342	4	البحث	البحث	VERB
alkej-905	342	5	عن	عن	PROPN
alkej-905	342	6	ن	ن	PRON
alkej-905	342	7	م	م	NOUN
alkej-905	342	8	عرض	عرض	NOUN
alkej-905	342	9	تلك	تلك	NOUN
alkej-905	342	10	انتشار	انتشار	PROPN
alkej-905	342	11	الشقوق	الشقوق	PROPN
alkej-905	342	12	.	.	PUNCT
alkej-905	343	1	هذه	هذه	PROPN
alkej-905	343	2	هي	هي	PROPN
alkej-905	343	3	حالة	حالة	PROPN
alkej-905	343	4	شقوق	شقوق	VERB
alkej-905	343	5	الوضع	الوضع	PROPN
alkej-905	343	6	المختلط	المختلط	PROPN
alkej-905	343	7	التي	التي	PROPN
alkej-905	343	8	تنتج	تنتج	VERB
alkej-905	343	9	عن	عن	PROPN
alkej-905	343	10	الوضع	الوضع	PROPN
alkej-905	343	11	األول	األول	PROPN
alkej-905	343	12	والوضع	والوضع	PROPN
alkej-905	343	13	الثاني	الثاني	PROPN
alkej-905	343	14	للتحميل	للتحميل	PROPN
alkej-905	344	1	والتي	والتي	PROPN
alkej-905	344	2	تنتشر	تنتشر	PROPN
alkej-905	345	1	في	في	DET
alkej-905	345	2	معظم	معظم	PROPN
alkej-905	345	3	الهياكل	الهياكل	PROPN
alkej-905	345	4	،	،	PROPN
alkej-905	345	5	ويت	ويت	NOUN
alkej-905	345	6	تحقيق	تحقيق	PROPN
alkej-905	345	7	توليد	توليد	PROPN
alkej-905	345	8	إمكانية	إمكانية	ADP
alkej-905	345	9	(	(	PUNCT
alkej-905	345	10	،	،	X
alkej-905	345	11	تمlefmالشقوق	تمlefmالشقوق	PROPN
alkej-905	345	12	،	،	PROPN
alkej-905	345	13	باإلضافة	باإلضافة	NOUN
alkej-905	345	14	إلى	إلى	NOUN
alkej-905	345	15	الظروف	الظروف	NOUN
alkej-905	345	16	التي	التي	PROPN
alkej-905	345	17	يمكن	يمكن	PROPN
alkej-905	345	18	أن	أن	AUX
alkej-905	345	19	تحدث	تحدث	VERB
alkej-905	345	20	فيها	فيها	PROPN
alkej-905	345	21	،	،	PROPN
alkej-905	346	1	في	في	VERB
alkej-905	346	2	هذه	هذه	PROPN
alkej-905	346	3	الحالة	الحالة	PROPN
alkej-905	346	4	.	.	PUNCT
alkej-905	347	1	في	في	PRON
alkej-905	347	2	سياق	سياق	PROPN
alkej-905	347	3	نظرية	نظرية	NOUN
alkej-905	347	4	ميكانيكا	ميكانيكا	PROPN
alkej-905	347	5	الكسر	الكسر	VERB
alkej-905	347	6	المرنة	المرنة	NOUN
alkej-905	347	7	الخطية	الخطية	NOUN
alkej-905	347	8	)	)	PUNCT
alkej-905	347	9	قانون	قانون	PROPN
alkej-905	347	10	جريفيث	جريفيث	PROPN
alkej-905	347	11	للوضع	للوضع	PROPN
alkej-905	347	12	التحميل	التحميل	PROPN
alkej-905	347	13	غير	غير	AUX
alkej-905	347	14	المتناسب	المتناسب	VERB
alkej-905	347	15	على	على	PROPN
alkej-905	347	16	عينات	عينات	VERB
alkej-905	347	17	من	من	DET
alkej-905	347	18	سبائك	سبائك	NOUN
alkej-905	347	19	األلومنيوم	األلومنيوم	NOUN
alkej-905	347	20	من	من	PROPN
alkej-905	347	21	خالل	خالل	PROPN
alkej-905	347	22	تطبيق	تطبيق	PROPN
alkej-905	347	23	أحمال	أحمال	PROPN
alkej-905	347	24	الشد	الشد	PROPN
alkej-905	347	25	الثابتة	الثابتة	PROPN
alkej-905	347	26	بالتزامن	بالتزامن	VERB
alkej-905	347	27	مع	مع	PROPN
alkej-905	347	28	أحمال	أحمال	PROPN
alkej-905	347	29	القص	القص	PROPN
alkej-905	347	30	الدورية	الدورية	PROPN
alkej-905	347	31	.	.	PUNCT
alkej-905	348	1	باستخدام	باستخدام	PROPN
alkej-905	348	2	في	في	ADP
alkej-905	348	3	االعتبار	االعتبار	PROPN
alkej-905	348	4	تأثير	تأثير	PROPN
alkej-905	348	5	انتشار	انتشار	PROPN
alkej-905	348	6	الكراك	الكراك	ADV
alkej-905	348	7	الديناميكي	الديناميكي	PROPN
alkej-905	348	8	.	.	PUNCT
alkej-905	349	1	تجريبياً	تجريبياً	PROPN
alkej-905	349	2	تم	تم	NOUN
alkej-905	349	3	تصميم	تصميم	PROPN
alkej-905	350	1	لطاقة	لطاقة	PROPN
alkej-905	350	2	الشق	الشق	NOUN
alkej-905	350	3	،	،	NOUN
alkej-905	350	4	تم	تم	PROPN
alkej-905	350	5	بناء	بناء	PROPN
alkej-905	350	6	معادلة	معادلة	PROPN
alkej-905	350	7	نظرية	نظرية	PROPN
alkej-905	350	8	لمعدل	لمعدل	PROPN
alkej-905	350	9	نمو	نمو	SCONJ
alkej-905	350	10	الشق	الشق	NOUN
alkej-905	350	11	الديناميكي	الديناميكي	PROPN
alkej-905	350	12	.	.	PUNCT
alkej-905	351	1	تأخذ	تأخذ	PROPN
alkej-905	351	2	هذه	هذه	PROPN
alkej-905	351	3	المعادلة	المعادلة	PROPN
alkej-905	351	4	i	i	PROPN
alkej-905	351	5	/	/	SYM
alkej-905	351	6	iiالمختلط	iiالمختلط	PROPN
alkej-905	351	7	(	(	PUNCT
alkej-905	351	8	aaأللومنيوم	aaأللومنيوم	NOUN
alkej-905	351	9	)	)	PUNCT
alkej-905	351	10	أجهزة	أجهزة	NOUN
alkej-905	351	11	مختبرية	مختبرية	PROPN
alkej-905	351	12	محلية	محلية	NOUN
alkej-905	351	13	الصنع	الصنع	NOUN
alkej-905	351	14	وتعديلها	وتعديلها	PROPN
alkej-905	351	15	لتتناسب	لتتناسب	PROPN
alkej-905	351	16	مع	مع	PROPN
alkej-905	351	17	طبيعة	طبيعة	PROPN
alkej-905	351	18	األحمال	األحمال	PROPN
alkej-905	351	19	المطبقة	المطبقة	PROPN
alkej-905	351	20	على	على	PROPN
alkej-905	351	21	عينات	عينات	VERB
alkej-905	351	22	ذات	ذات	NOUN
alkej-905	351	23	شقوق	شقوق	VERB
alkej-905	351	24	حافة	حافة	ADP
alkej-905	351	25	مسبقة	مسبقة	PROPN
alkej-905	351	26	من	من	PROPN
alkej-905	351	27	نوعين	نوعين	PROPN
alkej-905	351	28	مختلفين	مختلفين	PROPN
alkej-905	351	29	من	من	DET
alkej-905	351	30	سبائك	سبائك	PROPN
alkej-905	352	1	ا	ا	X
alkej-905	352	2	مقارنة	مقارنة	NOUN
alkej-905	352	3	بين	بين	NOUN
alkej-905	352	4	أنواع	أنواع	NOUN
alkej-905	352	5	السبائك	السبائك	NOUN
alkej-905	352	6	المستخدمة	المستخدمة	AUX
alkej-905	352	7	للتحقق	للتحقق	VERB
alkej-905	352	8	من	من	PRON
alkej-905	352	9	صحة	صحة	PROPN
alkej-905	352	10	النتائج	النتائج	PROPN
alkej-905	352	11	.	.	PUNCT
alkej-905	353	1	والتناقض	والتناقض	PROPN
alkej-905	353	2	بين	بين	AUX
alkej-905	353	3	مدى	مدى	VERB
alkej-905	353	4	قرب	قرب	NOUN
alkej-905	353	5	بطول	بطول	NOUN
alkej-905	353	6	شق	شق	ADP
alkej-905	353	7	الحافة	الحافة	PROPN
alkej-905	353	8	تم	تم	PROPN
alkej-905	353	9	إجراء	إجراء	PROPN
alkej-905	353	10	standard	standard	PROPN
alkej-905	353	11	-	-	PUNCT
alkej-905	353	12	uni	uni	PROPN
alkej-905	353	13	،	،	NOUN
alkej-905	353	14	بنظام	بنظام	NOUN
alkej-905	353	15	5052و	5052و	NOUN
alkej-905	353	16	6061	6061	NUM
alkej-905	353	17	بشكل	بشكل	NOUN
alkej-905	353	18	أسرع	أسرع	VERB
alkej-905	353	19	وتنتشر	وتنتشر	PROPN
alkej-905	353	20	5052	5052	NUM
alkej-905	353	21	النتائج	النتائج	NOUN
alkej-905	353	22	النظرية	النظرية	NOUN
alkej-905	353	23	من	من	PROPN
alkej-905	353	24	النتائج	النتائج	PROPN
alkej-905	353	25	الحقيقية	الحقيقية	PROPN
alkej-905	353	26	للكسر	للكسر	PROPN
alkej-905	353	27	الذي	الذي	PROPN
alkej-905	353	28	حدث	حدث	PROPN
alkej-905	353	29	.	.	PUNCT
alkej-905	354	1	وأظهرت	وأظهرت	PROPN
alkej-905	354	2	النتائج	النتائج	NOUN
alkej-905	354	3	التوافق	التوافق	AUX
alkej-905	354	4	بين	بين	ADV
alkej-905	354	5	المعادلة	المعادلة	VERB
alkej-905	354	6	النظرية	النظرية	PROPN
alkej-905	354	7	والنتائج	والنتائج	NOUN
alkej-905	354	8	العملية	العملية	PROPN
alkej-905	354	9	.	.	PUNCT
alkej-905	355	1	تبدأ	تبدأ	PROPN
alkej-905	355	2	العينة	العينة	NOUN
alkej-905	355	3	.6061الشقوق	.6061الشقوق	PUNCT
alkej-905	355	4	بشكل	بشكل	NOUN
alkej-905	355	5	أسرع	أسرع	VERB
alkej-905	355	6	من	من	DET
alkej-905	355	7	السبائك	السبائك	NOUN
alkej-905	355	8	mailto:israa.mosleh2003m@coeng.uobaghdad.edu.iq	mailto:israa.mosleh2003m@coeng.uobaghdad.edu.iq	VERB
alkej-905	355	9	modified	modify	VERB
alkej-905	355	10	study	study	NOUN
alkej-905	355	11	for	for	ADP
alkej-905	355	12	the	the	DET
alkej-905	355	13	effect	effect	NOUN
alkej-905	355	14	of	of	ADP
alkej-905	355	15	combined	combined	ADJ
alkej-905	355	16	cycling	cycling	NOUN
alkej-905	355	17	loading	loading	NOUN
alkej-905	355	18	in	in	ADP
alkej-905	355	19	plane	plane	NOUN
alkej-905	355	20	on	on	ADP
alkej-905	355	21	dynamic	dynamic	ADJ
alkej-905	355	22	edge	edge	NOUN
alkej-905	355	23	crack	crack	NOUN
alkej-905	355	24	propagation	propagation	NOUN
alkej-905	355	25	in	in	ADP
alkej-905	355	26	a	a	DET
alkej-905	355	27	thin	thin	ADJ
alkej-905	355	28	plate	plate	NOUN
alkej-905	355	29	israa	israa	NOUN
alkej-905	355	30	abed	abe	VERB
alkej-905	355	31	alrazak	alrazak	NOUN
alkej-905	355	32	mosleh1	mosleh1	PROPN
alkej-905	355	33	*	*	PROPN
alkej-905	355	34	,	,	PUNCT
alkej-905	355	35	fathi	fathi	PROPN
alkej-905	355	36	a.	a.	PROPN
alkej-905	355	37	a.	a.	PROPN
alkej-905	355	38	alshamma2	alshamma2	NOUN
alkej-905	356	1	1,2	1,2	NUM
alkej-905	356	2	mechanical	mechanical	ADJ
alkej-905	356	3	department	department	NOUN
alkej-905	356	4	,	,	PUNCT
alkej-905	356	5	college	college	NOUN
alkej-905	356	6	of	of	ADP
alkej-905	356	7	engineering	engineering	NOUN
alkej-905	356	8	,	,	PUNCT
alkej-905	356	9	university	university	NOUN
alkej-905	356	10	of	of	ADP
alkej-905	356	11	baghdad	baghdad	PROPN
alkej-905	356	12	,	,	PUNCT
alkej-905	356	13	baghdad	baghdad	PROPN
alkej-905	356	14	,	,	PUNCT
alkej-905	356	15	iraq	iraq	PROPN
alkej-905	356	16	*	*	PUNCT
alkej-905	356	17	corresponding	correspond	VERB
alkej-905	356	18	author	author	NOUN
alkej-905	356	19	’s	’s	PART
alkej-905	356	20	email	email	NOUN
alkej-905	356	21	:	:	PUNCT
alkej-905	356	22	israa.mosleh2003m@coeng.uobaghdad.edu.iq	israa.mosleh2003m@coeng.uobaghdad.edu.iq	ADV
alkej-905	356	23	https://doi.org/10.22153/kej.2024.03.003	https://doi.org/10.22153/kej.2024.03.003	X
alkej-905	356	24	abstract	abstract	NOUN
alkej-905	356	25	the	the	DET
alkej-905	356	26	significant	significant	ADJ
alkej-905	356	27	risks	risk	NOUN
alkej-905	356	28	associated	associate	VERB
alkej-905	356	29	with	with	ADP
alkej-905	356	30	the	the	DET
alkej-905	356	31	occurrence	occurrence	NOUN
alkej-905	356	32	of	of	ADP
alkej-905	356	33	mechanical	mechanical	ADJ
alkej-905	356	34	cracks	crack	NOUN
alkej-905	356	35	in	in	ADP
alkej-905	356	36	engineering	engineering	NOUN
alkej-905	356	37	applications	application	NOUN
alkej-905	356	38	are	be	AUX
alkej-905	356	39	investigated	investigate	VERB
alkej-905	356	40	in	in	ADP
alkej-905	356	41	this	this	DET
alkej-905	356	42	paper	paper	NOUN
alkej-905	356	43	.	.	PUNCT
alkej-905	357	1	in	in	ADP
alkej-905	357	2	particular	particular	ADJ
alkej-905	357	3	,	,	PUNCT
alkej-905	357	4	the	the	DET
alkej-905	357	5	specific	specific	ADJ
alkej-905	357	6	type	type	NOUN
alkej-905	357	7	of	of	ADP
alkej-905	357	8	crack	crack	NOUN
alkej-905	357	9	propagation	propagation	NOUN
alkej-905	357	10	that	that	PRON
alkej-905	357	11	results	result	VERB
alkej-905	357	12	from	from	ADP
alkej-905	357	13	mixed	mixed	ADJ
alkej-905	357	14	mode	mode	NOUN
alkej-905	357	15	loading	loading	NOUN
alkej-905	357	16	(	(	PUNCT
alkej-905	357	17	modes	mode	NOUN
alkej-905	357	18	i	i	PRON
alkej-905	357	19	and	and	CCONJ
alkej-905	357	20	ii	ii	NOUN
alkej-905	357	21	)	)	PUNCT
alkej-905	357	22	,	,	PUNCT
alkej-905	357	23	which	which	PRON
alkej-905	357	24	sp	sp	VERB
alkej-905	357	25	...	...	PUNCT
alkej-905	357	26	keywords	keyword	NOUN
alkej-905	357	27	:	:	PUNCT
alkej-905	357	28	mixed	mixed	ADJ
alkej-905	357	29	mode	mode	NOUN
alkej-905	357	30	;	;	PUNCT
alkej-905	357	31	shear	shear	NOUN
alkej-905	357	32	cycling	cycling	NOUN
alkej-905	357	33	load	load	NOUN
alkej-905	357	34	;	;	PUNCT
alkej-905	357	35	crack	crack	VERB
alkej-905	357	36	propagation	propagation	NOUN
alkej-905	357	37	;	;	PUNCT
alkej-905	357	38	combined	combined	ADJ
alkej-905	357	39	loads	load	NOUN
alkej-905	357	40	and	and	CCONJ
alkej-905	357	41	crack	crack	VERB
alkej-905	357	42	growth	growth	NOUN
alkej-905	357	43	1	1	NUM
alkej-905	357	44	.	.	PUNCT
alkej-905	358	1	introduction	introduction	NOUN
alkej-905	358	2	mechanical	mechanical	ADJ
alkej-905	358	3	fracture	fracture	NOUN
alkej-905	358	4	is	be	AUX
alkej-905	358	5	one	one	NUM
alkej-905	358	6	of	of	ADP
alkej-905	358	7	the	the	DET
alkej-905	358	8	problem	problem	NOUN
alkej-905	358	9	types	type	NOUN
alkej-905	358	10	of	of	ADP
alkej-905	358	11	failure	failure	NOUN
alkej-905	358	12	that	that	PRON
alkej-905	358	13	must	must	AUX
alkej-905	358	14	be	be	AUX
alkej-905	358	15	considered	consider	VERB
alkej-905	358	16	when	when	SCONJ
alkej-905	358	17	analysing	analyse	VERB
alkej-905	358	18	and	and	CCONJ
alkej-905	358	19	constructing	construct	VERB
alkej-905	358	20	any	any	DET
alkej-905	358	21	structural	structural	ADJ
alkej-905	358	22	or	or	CCONJ
alkej-905	358	23	mechanical	mechanical	ADJ
alkej-905	358	24	machine	machine	NOUN
alkej-905	358	25	because	because	SCONJ
alkej-905	358	26	crack	crack	NOUN
alkej-905	358	27	growth	growth	NOUN
alkej-905	358	28	is	be	AUX
alkej-905	358	29	one	one	NUM
alkej-905	358	30	of	of	ADP
alkej-905	358	31	the	the	DET
alkej-905	358	32	most	most	ADV
alkej-905	358	33	common	common	ADJ
alkej-905	358	34	causes	cause	NOUN
alkej-905	358	35	of	of	ADP
alkej-905	358	36	failure	failure	NOUN
alkej-905	358	37	in	in	ADP
alkej-905	358	38	material	material	NOUN
alkej-905	358	39	[	[	X
alkej-905	358	40	1][2	1][2	NUM
alkej-905	358	41	]	]	PUNCT
alkej-905	358	42	.	.	PUNCT
alkej-905	359	1	hence	hence	ADV
alkej-905	359	2	,	,	PUNCT
alkej-905	359	3	investi	investi	PROPN
alkej-905	359	4	...	...	PUNCT
alkej-905	359	5	,	,	PUNCT
alkej-905	359	6	(	(	PUNCT
alkej-905	359	7	,	,	PUNCT
alkej-905	359	8	da	da	PROPN
alkej-905	359	9	-	-	PUNCT
alkej-905	359	10	dn).=	dn).=	PRON
alkej-905	359	11	c,,,δk	c,,,δk	PROPN
alkej-905	359	12	-	-	PUNCT
alkej-905	359	13	equ	equ	PROPN
alkej-905	359	14	..	..	PUNCT
alkej-905	359	15	-m	-m	PROPN
alkej-905	359	16	..	..	PUNCT
alkej-905	359	17	…	…	PUNCT
alkej-905	359	18	(	(	PUNCT
alkej-905	359	19	1	1	NUM
alkej-905	359	20	)	)	PUNCT
alkej-905	359	21	where	where	SCONJ
alkej-905	359	22	the	the	DET
alkej-905	359	23	k	k	PROPN
alkej-905	359	24	equivalent	equivalent	NOUN
alkej-905	359	25	represents	represent	VERB
alkej-905	359	26	the	the	DET
alkej-905	359	27	value	value	NOUN
alkej-905	359	28	of	of	ADP
alkej-905	359	29	the	the	DET
alkej-905	359	30	equivalent	equivalent	ADJ
alkej-905	359	31	stress	stress	NOUN
alkej-905	359	32	intensity	intensity	NOUN
alkej-905	359	33	factor	factor	NOUN
alkej-905	359	34	for	for	ADP
alkej-905	359	35	modes	mode	NOUN
alkej-905	359	36	i	i	PRON
alkej-905	359	37	and	and	CCONJ
alkej-905	359	38	ii	ii	PROPN
alkej-905	359	39	,	,	PUNCT
alkej-905	359	40	which	which	PRON
alkej-905	359	41	represents	represent	VERB
alkej-905	359	42	the	the	DET
alkej-905	359	43	difference	difference	NOUN
alkej-905	359	44	between	between	ADP
alkej-905	359	45	the	the	DET
alkej-905	359	46	maximum	maximum	ADJ
alkej-905	359	47	and	and	CCONJ
alkej-905	359	48	minimum	minimum	ADJ
alkej-905	359	49	values	value	NOUN
alkej-905	359	50	of	of	ADP
alkej-905	359	51	the	the	DET
alkej-905	359	52	equivalent	equivalent	ADJ
alkej-905	359	53	stress	stress	NOUN
alkej-905	359	54	intensity	intensity	NOUN
alkej-905	359	55	factor	factor	NOUN
alkej-905	359	56	.	.	PUNCT
alkej-905	360	1	a	a	DET
alkej-905	360	2	number	number	NOUN
alkej-905	360	3	of	of	ADP
alkej-905	360	4	factors	factor	NOUN
alkej-905	360	5	,	,	PUNCT
alkej-905	360	6	which	which	PRON
alkej-905	360	7	have	have	VERB
alkej-905	360	8	...	...	PUNCT
alkej-905	360	9	two	two	NUM
alkej-905	360	10	types	type	NOUN
alkej-905	360	11	of	of	ADP
alkej-905	360	12	methods	method	NOUN
alkej-905	360	13	are	be	AUX
alkej-905	360	14	generally	generally	ADV
alkej-905	360	15	used	use	VERB
alkej-905	360	16	in	in	ADP
alkej-905	360	17	treating	treat	VERB
alkej-905	360	18	the	the	DET
alkej-905	360	19	occurrence	occurrence	NOUN
alkej-905	360	20	of	of	ADP
alkej-905	360	21	cracks	crack	NOUN
alkej-905	360	22	in	in	ADP
alkej-905	360	23	the	the	DET
alkej-905	360	24	mechanical	mechanical	ADJ
alkej-905	360	25	structure	structure	NOUN
alkej-905	360	26	.	.	PUNCT
alkej-905	361	1	the	the	DET
alkej-905	361	2	first	first	ADJ
alkej-905	361	3	type	type	NOUN
alkej-905	361	4	of	of	ADP
alkej-905	361	5	method	method	NOUN
alkej-905	361	6	is	be	AUX
alkej-905	361	7	treatment	treatment	NOUN
alkej-905	361	8	methods	method	NOUN
alkej-905	361	9	.	.	PUNCT
alkej-905	362	1	such	such	ADJ
alkej-905	362	2	as	as	ADP
alkej-905	362	3	welding	welding	NOUN
alkej-905	362	4	,	,	PUNCT
alkej-905	362	5	heat	heat	NOUN
alkej-905	362	6	treatment	treatment	NOUN
alkej-905	362	7	,	,	PUNCT
alkej-905	362	8	etc	etc	X
alkej-905	362	9	.	.	X
alkej-905	362	10	,	,	PUNCT
alkej-905	362	11	which	which	PRON
alkej-905	362	12	may	may	AUX
alkej-905	362	13	not	not	PART
alkej-905	362	14	be	be	AUX
alkej-905	362	15	effective	effective	ADJ
alkej-905	362	16	in	in	ADP
alkej-905	362	17	preventing	prevent	VERB
alkej-905	362	18	the	the	DET
alkej-905	362	19	growth	growth	NOUN
alkej-905	362	20	of	of	ADP
alkej-905	362	21	the	the	PRON
alkej-905	362	22	...	...	PUNCT
alkej-905	362	23	the	the	DET
alkej-905	362	24	main	main	ADJ
alkej-905	362	25	objectives	objective	NOUN
alkej-905	362	26	of	of	ADP
alkej-905	362	27	this	this	DET
alkej-905	362	28	research	research	NOUN
alkej-905	362	29	are	be	AUX
alkej-905	362	30	as	as	SCONJ
alkej-905	362	31	follows	follow	VERB
alkej-905	362	32	:	:	PUNCT
alkej-905	362	33			PRON
alkej-905	362	34	study	study	VERB
alkej-905	362	35	the	the	DET
alkej-905	362	36	crack	crack	NOUN
alkej-905	362	37	growth	growth	NOUN
alkej-905	362	38	rate	rate	NOUN
alkej-905	362	39	and	and	CCONJ
alkej-905	362	40	predict	predict	VERB
alkej-905	362	41	the	the	DET
alkej-905	362	42	instability	instability	NOUN
alkej-905	362	43	stage	stage	NOUN
alkej-905	362	44	entering	enter	VERB
alkej-905	362	45	to	to	PART
alkej-905	362	46	avoid	avoid	VERB
alkej-905	362	47	failure	failure	NOUN
alkej-905	362	48	in	in	ADP
alkej-905	362	49	the	the	DET
alkej-905	362	50	material	material	NOUN
alkej-905	362	51	.	.	PUNCT
alkej-905	363	1			NOUN
alkej-905	363	2	design	design	VERB
alkej-905	363	3	an	an	DET
alkej-905	363	4	apparatus	apparatus	NOUN
alkej-905	363	5	that	that	PRON
alkej-905	363	6	applies	apply	VERB
alkej-905	363	7	combined	combined	ADJ
alkej-905	363	8	fatigue	fatigue	NOUN
alkej-905	363	9	loads	load	NOUN
alkej-905	363	10	to	to	ADP
alkej-905	363	11	specimens	specimen	NOUN
alkej-905	363	12	by	by	ADP
alkej-905	363	13	applying	apply	VERB
alkej-905	363	14	a	a	DET
alkej-905	363	15	constant	constant	ADJ
alkej-905	363	16	tensile	tensile	NOUN
alkej-905	363	17	load	load	NOUN
alkej-905	363	18	and	and	CCONJ
alkej-905	363	19	cyclic	cyclic	ADJ
alkej-905	363	20	shear	shear	NOUN
alkej-905	363	21	loads	load	NOUN
alkej-905	363	22	.	.	PUNCT
alkej-905	364	1			PRON
alkej-905	364	2	identify	identify	VERB
alkej-905	364	3	the	the	DET
alkej-905	364	4	crack	crack	NOUN
alkej-905	364	5	initiation	initiation	NOUN
alkej-905	364	6	and	and	CCONJ
alkej-905	364	7	propagation	propagation	NOUN
alkej-905	364	8	rates	rate	NOUN
alkej-905	364	9	for	for	ADP
alkej-905	364	10	two	two	NUM
alkej-905	364	11	types	type	NOUN
alkej-905	364	12	of	of	ADP
alkej-905	364	13	aluminium	aluminium	NOUN
alkej-905	364	14	alloys	alloy	NOUN
alkej-905	364	15	and	and	CCONJ
alkej-905	364	16	comparing	compare	VERB
alkej-905	364	17	their	their	PRON
alkej-905	364	18	results	result	NOUN
alkej-905	364	19	and	and	CCONJ
alkej-905	364	20	behaviours	behaviour	NOUN
alkej-905	364	21	.	.	PUNCT
alkej-905	365	1			PRON
alkej-905	365	2	derive	derive	VERB
alkej-905	365	3	an	an	DET
alkej-905	365	4	equation	equation	NOUN
alkej-905	365	5	for	for	ADP
alkej-905	365	6	finding	find	VERB
alkej-905	365	7	the	the	DET
alkej-905	365	8	crack	crack	NOUN
alkej-905	365	9	growth	growth	NOUN
alkej-905	365	10	rate	rate	NOUN
alkej-905	365	11	using	use	VERB
alkej-905	365	12	the	the	DET
alkej-905	365	13	griffith	griffith	PROPN
alkej-905	365	14	energy	energy	NOUN
alkej-905	365	15	balancing	balancing	NOUN
alkej-905	365	16	method	method	NOUN
alkej-905	365	17	and	and	CCONJ
alkej-905	365	18	verify	verify	VERB
alkej-905	365	19	the	the	DET
alkej-905	365	20	experimental	experimental	ADJ
alkej-905	365	21	result	result	NOUN
alkej-905	365	22	.	.	PUNCT
alkej-905	366	1	2	2	X
alkej-905	366	2	.	.	X
alkej-905	366	3	methods	method	NOUN
alkej-905	366	4	1	1	NUM
alkej-905	366	5	.	.	NOUN
alkej-905	366	6	2	2	NUM
alkej-905	366	7	.	.	NOUN
alkej-905	366	8	2.1	2.1	NUM
alkej-905	366	9	theoretical	theoretical	ADJ
alkej-905	366	10	analysis	analysis	NOUN
alkej-905	366	11	when	when	SCONJ
alkej-905	366	12	studying	study	VERB
alkej-905	366	13	a	a	DET
alkej-905	366	14	thin	thin	ADJ
alkej-905	366	15	plate	plate	NOUN
alkej-905	366	16	that	that	PRON
alkej-905	366	17	is	be	AUX
alkej-905	366	18	subjected	subject	VERB
alkej-905	366	19	to	to	ADP
alkej-905	366	20	two	two	NUM
alkej-905	366	21	different	different	ADJ
alkej-905	366	22	kinds	kind	NOUN
alkej-905	366	23	of	of	ADP
alkej-905	366	24	loads	load	NOUN
alkej-905	366	25	,	,	PUNCT
alkej-905	366	26	such	such	ADJ
alkej-905	366	27	as	as	ADP
alkej-905	366	28	in	in	ADP
alkej-905	366	29	-	-	PUNCT
alkej-905	366	30	plane	plane	NOUN
alkej-905	366	31	,	,	PUNCT
alkej-905	366	32	constant	constant	ADJ
alkej-905	366	33	tensile	tensile	NOUN
alkej-905	366	34	load	load	NOUN
alkej-905	366	35	,	,	PUNCT
alkej-905	366	36	and	and	CCONJ
alkej-905	366	37	on	on	ADP
alkej-905	366	38	the	the	DET
alkej-905	366	39	other	other	ADJ
alkej-905	366	40	axis	axis	NOUN
alkej-905	366	41	of	of	ADP
alkej-905	366	42	cycling	cycling	NOUN
alkej-905	366	43	shear	shear	NOUN
alkej-905	366	44	loading	loading	NOUN
alkej-905	366	45	,	,	PUNCT
alkej-905	366	46	in	in	ADP
alkej-905	366	47	the	the	DET
alkej-905	366	48	theoretical	theoretical	ADJ
alkej-905	366	49	calculations	calculation	NOUN
alkej-905	366	50	,	,	PUNCT
alkej-905	366	51	the	the	DET
alkej-905	366	52	material	material	NOUN
alkej-905	366	53	is	be	AUX
alkej-905	366	54	assumed	assume	VERB
alkej-905	366	55	to	to	PART
alkej-905	366	56	be	be	AUX
alkej-905	366	57	linearly	linearly	ADV
alkej-905	366	58	elastic	elastic	ADJ
alkej-905	366	59	calc	calc	NOUN
alkej-905	366	60	...	...	PUNCT
alkej-905	366	61	2.1.1	2.1.1	NUM
alkej-905	366	62	analytical	analytical	ADJ
alkej-905	366	63	model	model	NOUN
alkej-905	366	64	of	of	ADP
alkej-905	366	65	displacement	displacement	NOUN
alkej-905	366	66	the	the	DET
alkej-905	366	67	westergaard	westergaard	NOUN
alkej-905	366	68	stress	stress	NOUN
alkej-905	366	69	function	function	NOUN
alkej-905	366	70	is	be	AUX
alkej-905	366	71	used	use	VERB
alkej-905	366	72	to	to	PART
alkej-905	366	73	analyse	analyse	VERB
alkej-905	366	74	crack	crack	VERB
alkej-905	366	75	propagation	propagation	NOUN
alkej-905	366	76	in	in	ADP
alkej-905	366	77	mixed	mixed	ADJ
alkej-905	366	78	mode	mode	NOUN
alkej-905	367	1	[	[	X
alkej-905	367	2	16	16	NUM
alkej-905	367	3	]	]	PUNCT
alkej-905	367	4	.	.	PUNCT
alkej-905	367	5	𝛟z(i+ii	𝛟z(i+ii	X
alkej-905	367	6	)	)	PUNCT
alkej-905	367	7	=	=	SYM
alkej-905	367	8	,	,	PUNCT
alkej-905	367	9	𝜎	𝜎	PROPN
alkej-905	367	10	.	.	PUNCT
alkej-905	368	1	𝑍-,,𝑍-2.−,𝑎-2	𝑍-,,𝑍-2.−,𝑎-2	PROPN
alkej-905	368	2	.	.	PUNCT
alkej-905	368	3	..	..	PUNCT
alkej-905	368	4	…	…	PUNCT
alkej-905	368	5	(	(	PUNCT
alkej-905	368	6	2	2	X
alkej-905	368	7	)	)	PUNCT
alkej-905	368	8	the	the	DET
alkej-905	368	9	following	follow	VERB
alkej-905	368	10	relationships	relationship	NOUN
alkej-905	368	11	can	can	AUX
alkej-905	368	12	be	be	AUX
alkej-905	368	13	derived	derive	VERB
alkej-905	368	14	from	from	ADP
alkej-905	368	15	equation	equation	NOUN
alkej-905	368	16	(	(	PUNCT
alkej-905	368	17	1	1	NUM
alkej-905	368	18	):	):	PUNCT
alkej-905	368	19	z	z	X
alkej-905	368	20	=	=	SYM
alkej-905	368	21	r.	r.	PROPN
alkej-905	368	22	e	e	PROPN
alkej-905	368	23	i𝛉	i𝛉	X
alkej-905	368	24	…	…	PUNCT
alkej-905	368	25	(	(	PUNCT
alkej-905	368	26	3	3	NUM
alkej-905	368	27	)	)	PUNCT
alkej-905	368	28	z	z	NOUN
alkej-905	368	29	-	-	PUNCT
alkej-905	368	30	a	a	DET
alkej-905	368	31	=	=	PROPN
alkej-905	368	32	r1	r1	PROPN
alkej-905	368	33	.e	.e	PROPN
alkej-905	369	1	i𝛉1	i𝛉1	NOUN
alkej-905	369	2	...	...	PUNCT
alkej-905	369	3	(	(	PUNCT
alkej-905	369	4	4	4	X
alkej-905	369	5	)	)	PUNCT
alkej-905	369	6	fig	fig	NOUN
alkej-905	369	7	.	.	PUNCT
alkej-905	370	1	1	1	X
alkej-905	370	2	.	.	X
alkej-905	370	3	standing	stand	VERB
alkej-905	370	4	theory	theory	NOUN
alkej-905	370	5	of	of	ADP
alkej-905	370	6	cracks	crack	NOUN
alkej-905	370	7	.	.	PUNCT
alkej-905	371	1	the	the	DET
alkej-905	371	2	westergaard	westergaard	ADJ
alkej-905	371	3	equation	equation	NOUN
alkej-905	371	4	based	base	VERB
alkej-905	371	5	on	on	ADP
alkej-905	371	6	[	[	X
alkej-905	371	7	17	17	NUM
alkej-905	371	8	]	]	PUNCT
alkej-905	371	9	is	be	AUX
alkej-905	371	10	used	use	VERB
alkej-905	371	11	to	to	PART
alkej-905	371	12	solve	solve	VERB
alkej-905	371	13	the	the	DET
alkej-905	371	14	complex	complex	ADJ
alkej-905	371	15	number	number	NOUN
alkej-905	371	16	using	use	VERB
alkej-905	371	17	the	the	DET
alkej-905	371	18	airy	airy	ADJ
alkej-905	371	19	stress	stress	NOUN
alkej-905	371	20	function	function	NOUN
alkej-905	371	21	.	.	PUNCT
alkej-905	372	1	z	z	X
alkej-905	373	1	+	+	CCONJ
alkej-905	373	2	a	a	DET
alkej-905	373	3	=	=	ADJ
alkej-905	373	4	r2	r2	NOUN
alkej-905	373	5	.	.	PUNCT
alkej-905	374	1	e	e	X
alkej-905	374	2	i𝛉2	i𝛉2	VERB
alkej-905	374	3	…	…	PUNCT
alkej-905	374	4	(	(	PUNCT
alkej-905	374	5	5	5	NUM
alkej-905	374	6	)	)	PUNCT
alkej-905	374	7	where	where	SCONJ
alkej-905	374	8	z	z	NOUN
alkej-905	374	9	is	be	AUX
alkej-905	374	10	a	a	DET
alkej-905	374	11	complex	complex	ADJ
alkej-905	374	12	function	function	NOUN
alkej-905	374	13	with	with	ADP
alkej-905	374	14	the	the	DET
alkej-905	374	15	variable	variable	ADJ
alkej-905	374	16	position	position	NOUN
alkej-905	374	17	located	locate	VERB
alkej-905	374	18	on	on	ADP
alkej-905	374	19	the	the	DET
alkej-905	374	20	plate	plate	NOUN
alkej-905	374	21	found	find	VERB
alkej-905	374	22	relative	relative	ADJ
alkej-905	374	23	to	to	ADP
alkej-905	374	24	the	the	DET
alkej-905	374	25	points	point	NOUN
alkej-905	374	26	on	on	ADP
alkej-905	374	27	cracks	crack	NOUN
alkej-905	374	28	a	a	DET
alkej-905	374	29	,	,	PUNCT
alkej-905	374	30	b	b	NOUN
alkej-905	374	31	and	and	CCONJ
alkej-905	374	32	c	c	X
alkej-905	375	1	[	[	X
alkej-905	375	2	17	17	NUM
alkej-905	375	3	]	]	PUNCT
alkej-905	375	4	.	.	PUNCT
alkej-905	376	1	for	for	ADP
alkej-905	376	2	plain	plain	ADJ
alkej-905	376	3	strain	strain	NOUN
alkej-905	376	4	:	:	PUNCT
alkej-905	376	5	v	v	NOUN
alkej-905	376	6	=	=	SYM
alkej-905	376	7	,	,	PUNCT
alkej-905	376	8	2,σ	2,σ	NUM
alkej-905	376	9	-	-	PUNCT
alkej-905	376	10	eff.-e	eff.-e	NUM
alkej-905	376	11	.	.	PUNCT
alkej-905	376	12	,1−,υ-2	,1−,υ-2	PUNCT
alkej-905	376	13	...	...	PUNCT
alkej-905	376	14	,,a-2.−,x-2	,,a-2.−,x-2	PUNCT
alkej-905	376	15	...	...	PUNCT
alkej-905	376	16	for	for	ADP
alkej-905	376	17	plain	plain	ADJ
alkej-905	376	18	stress	stress	NOUN
alkej-905	376	19	:	:	PUNCT
alkej-905	376	20	v	v	NOUN
alkej-905	376	21	=	=	SYM
alkej-905	376	22	,	,	PUNCT
alkej-905	376	23	2,σ	2,σ	NUM
alkej-905	376	24	-	-	PUNCT
alkej-905	376	25	eff.-e′	eff.-e′	NOUN
alkej-905	376	26	..	..	PUNCT
alkej-905	376	27	,,a-2.−,x-2	,,a-2.−,x-2	X
alkej-905	376	28	..	..	PUNCT
alkej-905	376	29	…	…	PUNCT
alkej-905	376	30	(	(	PUNCT
alkej-905	376	31	6	6	NUM
alkej-905	376	32	)	)	PUNCT
alkej-905	376	33	where	where	SCONJ
alkej-905	376	34	,	,	PUNCT
alkej-905	376	35	1	1	NUM
alkej-905	376	36	-	-	PUNCT
alkej-905	376	37	e′.=,,1−,υ-2	e′.=,,1−,υ-2	ADJ
alkej-905	376	38	..	..	PUNCT
alkej-905	376	39	-e	-e	X
alkej-905	376	40	.	.	PUNCT
alkej-905	376	41	,	,	PUNCT
alkej-905	376	42	assume	assume	VERB
alkej-905	376	43	𝑥=𝑐𝑎	𝑥=𝑐𝑎	ADJ
alkej-905	376	44	0<𝑥<1	0<𝑥<1	NUM
alkej-905	376	45	,	,	PUNCT
alkej-905	376	46	let	let	VERB
alkej-905	376	47	,	,	PUNCT
alkej-905	376	48	𝑐-1.=2,1−,𝑐-2	𝑐-1.=2,1−,𝑐-2	PROPN
alkej-905	376	49	..	..	PUNCT
alkej-905	376	50	,	,	PUNCT
alkej-905	376	51	based	base	VERB
alkej-905	376	52	on	on	ADP
alkej-905	376	53	that	that	PRON
alkej-905	376	54	,	,	PUNCT
alkej-905	376	55	the	the	DET
alkej-905	376	56	displacement	displacement	NOUN
alkej-905	376	57	of	of	ADP
alkej-905	376	58	the	the	DET
alkej-905	376	59	crack	crack	NOUN
alkej-905	376	60	(	(	PUNCT
alkej-905	376	61	v	v	NOUN
alkej-905	376	62	)	)	PUNCT
alkej-905	376	63	for	for	ADP
alkej-905	376	64	the	the	DET
alkej-905	376	65	mixed	mixed	ADJ
alkej-905	376	66	mode	mode	NOUN
alkej-905	376	67	i	i	PROPN
alkej-905	376	68	/	/	SYM
alkej-905	376	69	ii	ii	PROPN
alkej-905	376	70	is	be	AUX
alkej-905	376	71	v=,,c-1.-e	v=,,c-1.-e	VERB
alkej-905	376	72	..	..	PUNCT
alkej-905	376	73	,σ	,σ	PROPN
alkej-905	376	74	-	-	PUNCT
alkej-905	376	75	eff	eff	PROPN
alkej-905	376	76	..	..	PUNCT
alkej-905	376	77	a	a	DET
alkej-905	376	78	…	…	PUNCT
alkej-905	376	79	(	(	PUNCT
alkej-905	376	80	7	7	NUM
alkej-905	376	81	)	)	PUNCT
alkej-905	376	82	the	the	DET
alkej-905	376	83	effective	effective	ADJ
alkej-905	376	84	stress	stress	NOUN
alkej-905	376	85	𝛔eff	𝛔eff	PROPN
alkej-905	376	86	for	for	ADP
alkej-905	376	87	mixed	mixed	ADJ
alkej-905	376	88	mode	mode	NOUN
alkej-905	376	89	i	i	PRON
alkej-905	376	90	/	/	SYM
alkej-905	376	91	ii	ii	PROPN
alkej-905	376	92	comes	come	VERB
alkej-905	376	93	from	from	ADP
alkej-905	376	94	the	the	DET
alkej-905	376	95	tensile	tensile	NOUN
alkej-905	376	96	load	load	NOUN
alkej-905	376	97	in	in	ADP
alkej-905	376	98	direction	direction	NOUN
alkej-905	376	99	and	and	CCONJ
alkej-905	376	100	cycling	cycling	NOUN
alkej-905	376	101	shear	shear	NOUN
alkej-905	376	102	load	load	NOUN
alkej-905	376	103	within	within	ADP
alkej-905	376	104	the	the	DET
alkej-905	376	105	elastic	elastic	ADJ
alkej-905	376	106	limit	limit	NOUN
alkej-905	376	107	in	in	ADP
alkej-905	376	108	mpa	mpa	PROPN
alkej-905	377	1	[	[	X
alkej-905	377	2	18	18	NUM
alkej-905	377	3	]	]	X
alkej-905	377	4	,	,	PUNCT
alkej-905	377	5	as	as	SCONJ
alkej-905	377	6	shown	show	VERB
alkej-905	377	7	in	in	ADP
alkej-905	377	8	fig	fig	NOUN
alkej-905	377	9	.	.	PUNCT
alkej-905	378	1	2	2	X
alkej-905	378	2	.	.	NUM
alkej-905	378	3	,	,	PUNCT
alkej-905	378	4	σ	σ	NOUN
alkej-905	378	5	-	-	PUNCT
alkej-905	378	6	eff.=,1-,2	eff.=,1-,2	NOUN
alkej-905	378	7	..	..	PUNCT
alkej-905	378	8	,	,	PUNCT
alkej-905	378	9	[	[	PUNCT
alkej-905	378	10	,	,	PUNCT
alkej-905	378	11	σ-2.+,(,τ	σ-2.+,(,τ	NOUN
alkej-905	378	12	-	-	PUNCT
alkej-905	378	13	o	o	NOUN
alkej-905	378	14	..	..	PUNCT
alkej-905	378	15	,sin-,,w.t-2	,sin-,,w.t-2	PROPN
alkej-905	378	16	...	...	PUNCT
alkej-905	378	17	)-2	)-2	PROPN
alkej-905	378	18	.	.	PUNCT
alkej-905	378	19	]	]	PUNCT
alkej-905	378	20	.	.	PUNCT
alkej-905	379	1	…	…	PUNCT
alkej-905	379	2	(	(	PUNCT
alkej-905	379	3	8)	8)	NUM
alkej-905	379	4	the	the	DET
alkej-905	379	5	rate	rate	NOUN
alkej-905	379	6	of	of	ADP
alkej-905	379	7	displacement	displacement	NOUN
alkej-905	379	8	(	(	PUNCT
alkej-905	379	9	,	,	PUNCT
alkej-905	379	10	v.	v.	CCONJ
alkej-905	379	11	)	)	PUNCT
alkej-905	379	12	is	be	AUX
alkej-905	379	13	determined	determine	VERB
alkej-905	379	14	by	by	ADP
alkej-905	379	15	subtracting	subtract	VERB
alkej-905	379	16	equation	equation	NOUN
alkej-905	379	17	(	(	PUNCT
alkej-905	379	18	8)	8)	NUM
alkej-905	379	19	from	from	ADP
alkej-905	379	20	equation	equation	NOUN
alkej-905	379	21	(	(	PUNCT
alkej-905	379	22	7	7	NUM
alkej-905	379	23	)	)	PUNCT
alkej-905	379	24	and	and	CCONJ
alkej-905	379	25	then	then	ADV
alkej-905	379	26	constructing	construct	VERB
alkej-905	379	27	the	the	DET
alkej-905	379	28	equation	equation	NOUN
alkej-905	379	29	for	for	ADP
alkej-905	379	30	the	the	DET
alkej-905	379	31	stress	stress	NOUN
alkej-905	379	32	and	and	CCONJ
alkej-905	379	33	crack	crack	VERB
alkej-905	379	34	length	length	NOUN
alkej-905	379	35	variables	variable	NOUN
alkej-905	379	36	using	use	VERB
alkej-905	379	37	this	this	DET
alkej-905	379	38	information	information	NOUN
alkej-905	379	39	.	.	PUNCT
alkej-905	380	1	,	,	PUNCT
alkej-905	380	2	v.=,,c-1.-,e-`	v.=,,c-1.-,e-`	NUM
alkej-905	380	3	...	...	PUNCT
alkej-905	381	1	[,,a	[,,a	NOUN
alkej-905	381	2	-	-	PUNCT
alkej-905	381	3	o.-,2	o.-,2	NOUN
alkej-905	381	4	...	...	PUNCT
alkej-905	381	5	,w	,w	PROPN
alkej-905	381	6	.	.	PUNCT
alkej-905	381	7	,τ	,τ	NOUN
alkej-905	381	8	-	-	PUNCT
alkej-905	381	9	o-2	o-2	VERB
alkej-905	381	10	..	..	PUNCT
alkej-905	381	11	,sin-,w.t	,sin-,w.t	X
alkej-905	381	12	..	..	PUNCT
alkej-905	381	13	-,4	-,4	X
alkej-905	381	14	,	,	PUNCT
alkej-905	381	15	,	,	PUNCT
alkej-905	381	16	σ-2.+,,,τ	σ-2.+,,,τ	X
alkej-905	381	17	-	-	PUNCT
alkej-905	381	18	o	o	NOUN
alkej-905	381	19	..	..	PUNCT
alkej-905	381	20	,sin-,,w.t-2	,sin-,,w.t-2	PROPN
alkej-905	381	21	....	....	PUNCT
alkej-905	381	22	-2	-2	PROPN
alkej-905	381	23	..	..	PUNCT
alkej-905	381	24	-,1	-,1	VERB
alkej-905	381	25	-	-	SYM
alkej-905	381	26	2	2	NUM
alkej-905	381	27	...	...	PUNCT
alkej-905	381	28	+	+	CCONJ
alkej-905	381	29	,	,	PUNCT
alkej-905	381	30	1-,2	1-,2	PROPN
alkej-905	381	31	..	..	PUNCT
alkej-905	381	32	,	,	PUNCT
alkej-905	381	33	.	.	PUNCT
alkej-905	381	34	,	,	PUNCT
alkej-905	381	35	,	,	PUNCT
alkej-905	381	36	σ-2.+,,,τ	σ-2.+,,,τ	X
alkej-905	381	37	-	-	PUNCT
alkej-905	381	38	o	o	NOUN
alkej-905	381	39	..	..	PUNCT
alkej-905	381	40	,sin-,,w.t-2	,sin-,,w.t-2	PROPN
alkej-905	381	41	....	....	PUNCT
alkej-905	381	42	-2	-2	PROPN
alkej-905	381	43	..	..	PUNCT
alkej-905	381	44	,1	,1	NOUN
alkej-905	381	45	-	-	PUNCT
alkej-905	381	46	2	2	NUM
alkej-905	381	47	...	...	PUNCT
alkej-905	381	48	,da	,da	NOUN
alkej-905	381	49	-	-	PUNCT
alkej-905	381	50	dt	dt	NOUN
alkej-905	381	51	.	.	PUNCT
alkej-905	381	52	]	]	PUNCT
alkej-905	382	1	…	…	PUNCT
alkej-905	382	2	(	(	PUNCT
alkej-905	382	3	9	9	NUM
alkej-905	382	4	)	)	PUNCT
alkej-905	382	5	to	to	PART
alkej-905	382	6	determine	determine	VERB
alkej-905	382	7	the	the	DET
alkej-905	382	8	entire	entire	ADJ
alkej-905	382	9	amount	amount	NOUN
alkej-905	382	10	of	of	ADP
alkej-905	382	11	kinetic	kinetic	ADJ
alkej-905	382	12	energy	energy	NOUN
alkej-905	382	13	[	[	X
alkej-905	382	14	19	19	NUM
alkej-905	382	15	]	]	PUNCT
alkej-905	382	16	,	,	PUNCT
alkej-905	382	17	denoted	denote	VERB
alkej-905	382	18	as	as	ADP
alkej-905	382	19	(	(	PUNCT
alkej-905	382	20	t	t	PROPN
alkej-905	382	21	total	total	NOUN
alkej-905	382	22	)	)	PUNCT
alkej-905	382	23	,	,	PUNCT
alkej-905	382	24	fig	fig	NOUN
alkej-905	382	25	.	.	PUNCT
alkej-905	383	1	2	2	X
alkej-905	383	2	.	.	X
alkej-905	383	3	loads	load	NOUN
alkej-905	383	4	on	on	ADP
alkej-905	383	5	the	the	DET
alkej-905	383	6	sample	sample	NOUN
alkej-905	383	7	,	,	PUNCT
alkej-905	383	8	which	which	PRON
alkej-905	383	9	shows	show	VERB
alkej-905	383	10	the	the	DET
alkej-905	383	11	method	method	NOUN
alkej-905	383	12	of	of	ADP
alkej-905	383	13	exposing	expose	VERB
alkej-905	383	14	fatigue	fatigue	NOUN
alkej-905	383	15	loads	load	NOUN
alkej-905	383	16	on	on	ADP
alkej-905	383	17	the	the	DET
alkej-905	383	18	plate	plate	NOUN
alkej-905	383	19	in	in	ADP
alkej-905	383	20	the	the	DET
alkej-905	383	21	device	device	NOUN
alkej-905	383	22	(	(	PUNCT
alkej-905	383	23	constant	constant	ADJ
alkej-905	383	24	tensile	tensile	NOUN
alkej-905	383	25	stress	stress	NOUN
alkej-905	383	26	towards	towards	ADP
alkej-905	383	27	the	the	DET
alkej-905	383	28	y	y	NOUN
alkej-905	383	29	-	-	PUNCT
alkej-905	383	30	axis	axis	NOUN
alkej-905	383	31	and	and	CCONJ
alkej-905	383	32	periodic	periodic	ADJ
alkej-905	383	33	shear	shear	NOUN
alkej-905	383	34	loads	load	NOUN
alkej-905	383	35	by	by	ADP
alkej-905	383	36	pressing	press	VERB
alkej-905	383	37	the	the	DET
alkej-905	383	38	sample	sample	NOUN
alkej-905	383	39	parallel	parallel	NOUN
alkej-905	383	40	to	to	ADP
alkej-905	383	41	the	the	DET
alkej-905	383	42	x	x	NOUN
alkej-905	383	43	-	-	NOUN
alkej-905	383	44	axis	axis	NOUN
alkej-905	383	45	within	within	ADP
alkej-905	383	46	the	the	DET
alkej-905	383	47	elastic	elastic	ADJ
alkej-905	383	48	limit	limit	NOUN
alkej-905	383	49	)	)	PUNCT
alkej-905	383	50	to	to	ADP
alkej-905	383	51	o	o	NOUN
alkej-905	383	52	...	...	PUNCT
alkej-905	384	1	=	=	SYM
alkej-905	384	2	,	,	PUNCT
alkej-905	384	3	1	1	NUM
alkej-905	384	4	-	-	SYM
alkej-905	384	5	2	2	NUM
alkej-905	384	6	..	..	PUNCT
alkej-905	384	7	ρ.area	ρ.area	X
alkej-905	384	8	.	.	PUNCT
alkej-905	384	9	,v-•2	,v-•2	PUNCT
alkej-905	384	10	.	.	PUNCT
alkej-905	385	1	…	…	PUNCT
alkej-905	385	2	(	(	PUNCT
alkej-905	385	3	10	10	NUM
alkej-905	385	4	)	)	PUNCT
alkej-905	385	5	after	after	ADP
alkej-905	385	6	making	make	VERB
alkej-905	385	7	substitutions	substitution	NOUN
alkej-905	385	8	in	in	ADP
alkej-905	385	9	eqs	eqs	PROPN
alkej-905	385	10	.	.	PUNCT
alkej-905	386	1	(	(	PUNCT
alkej-905	386	2	8–10	8–10	NOUN
alkej-905	386	3	)	)	PUNCT
alkej-905	386	4	and	and	CCONJ
alkej-905	386	5	deriving	derive	VERB
alkej-905	386	6	the	the	DET
alkej-905	386	7	displacement	displacement	NOUN
alkej-905	386	8	of	of	ADP
alkej-905	386	9	the	the	DET
alkej-905	386	10	crack	crack	NOUN
alkej-905	386	11	(	(	PUNCT
alkej-905	386	12	v	v	NOUN
alkej-905	386	13	)	)	PUNCT
alkej-905	386	14	and	and	CCONJ
alkej-905	386	15	the	the	DET
alkej-905	386	16	stresses	stress	NOUN
alkej-905	386	17	,	,	PUNCT
alkej-905	386	18	the	the	DET
alkej-905	386	19	total	total	ADJ
alkej-905	386	20	kinetic	kinetic	ADJ
alkej-905	386	21	energy	energy	NOUN
alkej-905	386	22	(	(	PUNCT
alkej-905	386	23	ttotal	ttotal	ADJ
alkej-905	386	24	)	)	PUNCT
alkej-905	386	25	equation	equation	NOUN
alkej-905	386	26	was	be	AUX
alkej-905	386	27	obtained	obtain	VERB
alkej-905	386	28	as	as	ADP
alkej-905	386	29	follows	follow	VERB
alkej-905	386	30	:	:	PUNCT
alkej-905	386	31	,	,	PUNCT
alkej-905	386	32	𝐓-𝐭𝐨𝐭𝐚𝐥.=,𝛒	𝐓-𝐭𝐨𝐭𝐚𝐥.=,𝛒	PROPN
alkej-905	386	33	,	,	PUNCT
alkej-905	386	34	𝐤𝐚-𝐢-𝟐.-𝟐,𝐄-`𝟐	𝐤𝐚-𝐢-𝟐.-𝟐,𝐄-`𝟐	PROPN
alkej-905	386	35	..	..	PUNCT
alkej-905	386	36	[,,𝛔-𝟐.+,𝛕-𝟐.,𝐬𝐢𝐧-𝟐.,,𝐰.𝐭-𝟐	[,,𝛔-𝟐.+,𝛕-𝟐.,𝐬𝐢𝐧-𝟐.,,𝐰.𝐭-𝟐	X
alkej-905	386	37	....	....	PUNCT
alkej-905	386	38	,,,𝐝𝐚-𝐝𝐭	,,,𝐝𝐚-𝐝𝐭	PUNCT
alkej-905	386	39	..	..	PUNCT
alkej-905	386	40	-𝟐.+,𝝉-𝟐	-𝟐.+,𝝉-𝟐	NUM
alkej-905	386	41	..	..	PUNCT
alkej-905	386	42	,	,	PUNCT
alkej-905	386	43	𝐚-𝐨.,𝐰-𝟐	𝐚-𝐨.,𝐰-𝟐	PROPN
alkej-905	386	44	..	..	PROPN
alkej-905	386	45	,𝐬𝐢𝐧-,,𝐰.𝐭-𝟐	,𝐬𝐢𝐧-,,𝐰.𝐭-𝟐	PROPN
alkej-905	386	46	....	....	PUNCT
alkej-905	386	47	,,𝐝𝐚-𝐝𝐭	,,𝐝𝐚-𝐝𝐭	PUNCT
alkej-905	386	48	..	..	PUNCT
alkej-905	387	1	+,,𝝉-𝒐.-𝟐	+,,𝝉-𝒐.-𝟐	NUM
alkej-905	387	2	..	..	PUNCT
alkej-905	387	3	,𝒂-𝒐-𝟐.,,𝒘-𝟐.-𝟒	,𝒂-𝒐-𝟐.,,𝒘-𝟐.-𝟒	PROPN
alkej-905	387	4	..	..	PUNCT
alkej-905	387	5	,𝒄𝒐𝒔-𝟐.,,𝒘.𝒕-𝟐	,𝒄𝒐𝒔-𝟐.,,𝒘.𝒕-𝟐	X
alkej-905	387	6	..	..	PUNCT
alkej-905	387	7	]	]	PUNCT
alkej-905	387	8	...	...	PUNCT
alkej-905	388	1	2.1.2	2.1.2	X
alkej-905	388	2	.	.	PUNCT
alkej-905	388	3	excess	excess	ADJ
alkej-905	388	4	energy	energy	NOUN
alkej-905	388	5	rate	rate	NOUN
alkej-905	388	6	to	to	PART
alkej-905	388	7	determine	determine	VERB
alkej-905	388	8	the	the	DET
alkej-905	388	9	excess	excess	ADJ
alkej-905	388	10	energy	energy	NOUN
alkej-905	388	11	rate	rate	NOUN
alkej-905	388	12	(	(	PUNCT
alkej-905	388	13	u	u	NOUN
alkej-905	388	14	)	)	PUNCT
alkej-905	388	15	controlled	control	VERB
alkej-905	388	16	by	by	ADP
alkej-905	388	17	the	the	DET
alkej-905	388	18	crack	crack	NOUN
alkej-905	388	19	’s	’s	PART
alkej-905	388	20	extension	extension	NOUN
alkej-905	388	21	at	at	ADP
alkej-905	388	22	the	the	DET
alkej-905	388	23	mixed	mixed	ADJ
alkej-905	388	24	modes	mode	NOUN
alkej-905	388	25	(	(	PUNCT
alkej-905	388	26	i	i	PROPN
alkej-905	388	27	/	/	SYM
alkej-905	388	28	ii	ii	PROPN
alkej-905	388	29	)	)	PUNCT
alkej-905	388	30	in	in	ADP
alkej-905	388	31	the	the	DET
alkej-905	388	32	thin	thin	ADJ
alkej-905	388	33	plate	plate	NOUN
alkej-905	388	34	[	[	X
alkej-905	388	35	17	17	NUM
alkej-905	388	36	]	]	PUNCT
alkej-905	388	37	,	,	PUNCT
alkej-905	388	38	[	[	X
alkej-905	388	39	18	18	NUM
alkej-905	388	40	]	]	PUNCT
alkej-905	388	41	for	for	ADP
alkej-905	388	42	fig	fig	NOUN
alkej-905	388	43	.	.	PUNCT
alkej-905	389	1	3	3	NUM
alkej-905	389	2	,	,	PUNCT
alkej-905	389	3	the	the	DET
alkej-905	389	4	following	follow	VERB
alkej-905	389	5	equation	equation	NOUN
alkej-905	389	6	is	be	AUX
alkej-905	389	7	used	use	VERB
alkej-905	389	8	:	:	PUNCT
alkej-905	389	9	u=,,a	u=,,a	PROPN
alkej-905	389	10	-	-	PUNCT
alkej-905	389	11	o.-,a	o.-,a	PROPN
alkej-905	389	12	-	-	PUNCT
alkej-905	389	13	i.-,g−r	i.-,g−r	NOUN
alkej-905	389	14	..	..	PUNCT
alkej-905	389	15	da=−,,a	da=−,,a	PROPN
alkej-905	389	16	-	-	PUNCT
alkej-905	389	17	o.-,a	o.-,a	PROPN
alkej-905	389	18	-	-	PUNCT
alkej-905	389	19	i.-r.da+,,a	i.-r.da+,,a	NOUN
alkej-905	389	20	-	-	PUNCT
alkej-905	389	21	o.-,a	o.-,a	NOUN
alkej-905	389	22	-	-	PUNCT
alkej-905	389	23	i.-g.da	i.-g.da	NOUN
alkej-905	389	24	...	...	PUNCT
alkej-905	389	25	…	…	PUNCT
alkej-905	389	26	(	(	PUNCT
alkej-905	389	27	12	12	NUM
alkej-905	389	28	)	)	PUNCT
alkej-905	389	29	the	the	DET
alkej-905	389	30	total	total	ADJ
alkej-905	389	31	excess	excess	ADJ
alkej-905	389	32	energy	energy	NOUN
alkej-905	389	33	(	(	PUNCT
alkej-905	389	34	u	u	NOUN
alkej-905	389	35	)	)	PUNCT
alkej-905	389	36	for	for	ADP
alkej-905	389	37	the	the	DET
alkej-905	389	38	mixed	mixed	ADJ
alkej-905	389	39	modes	mode	NOUN
alkej-905	389	40	i	i	PRON
alkej-905	389	41	/	/	SYM
alkej-905	389	42	ii	ii	PROPN
alkej-905	390	1	[	[	X
alkej-905	390	2	5	5	NUM
alkej-905	390	3	]	]	PUNCT
alkej-905	390	4	,	,	PUNCT
alkej-905	390	5	[	[	X
alkej-905	390	6	20	20	NUM
alkej-905	390	7	]	]	PUNCT
alkej-905	390	8	is	be	AUX
alkej-905	390	9	determined	determine	VERB
alkej-905	390	10	as	as	SCONJ
alkej-905	390	11	follows	follow	VERB
alkej-905	390	12	:	:	PUNCT
alkej-905	390	13	u=	u=	NOUN
alkej-905	390	14	(	(	PUNCT
alkej-905	390	15	,	,	PUNCT
alkej-905	390	16	,	,	PUNCT
alkej-905	390	17	σ-2.-2e.+,,2,1+υ.-e	σ-2.-2e.+,,2,1+υ.-e	NOUN
alkej-905	390	18	.	.	PUNCT
alkej-905	391	1	,,τ-𝑜	,,τ-𝑜	PUNCT
alkej-905	391	2	..	..	PUNCT
alkej-905	391	3	sin	sin	NOUN
alkej-905	391	4	,	,	PUNCT
alkej-905	391	5	wt-2	wt-2	PROPN
alkej-905	391	6	..	..	PUNCT
alkej-905	391	7	-2	-2	INTJ
alkej-905	391	8	.	.	PUNCT
alkej-905	391	9	)	)	PUNCT
alkej-905	392	1	…	…	PUNCT
alkej-905	392	2	(	(	PUNCT
alkej-905	392	3	13	13	NUM
alkej-905	392	4	)	)	PUNCT
alkej-905	392	5	fig	fig	NOUN
alkej-905	392	6	.	.	PUNCT
alkej-905	393	1	3	3	X
alkej-905	393	2	.	.	X
alkej-905	393	3	energy	energy	NOUN
alkej-905	393	4	balance	balance	NOUN
alkej-905	393	5	of	of	ADP
alkej-905	393	6	the	the	DET
alkej-905	393	7	crack	crack	NOUN
alkej-905	393	8	,	,	PUNCT
alkej-905	393	9	which	which	PRON
alkej-905	393	10	demonstrates	demonstrate	VERB
alkej-905	393	11	the	the	DET
alkej-905	393	12	effect	effect	NOUN
alkej-905	393	13	of	of	ADP
alkej-905	393	14	the	the	DET
alkej-905	393	15	balance	balance	NOUN
alkej-905	393	16	of	of	ADP
alkej-905	393	17	energies	energy	NOUN
alkej-905	393	18	and	and	CCONJ
alkej-905	393	19	the	the	DET
alkej-905	393	20	influence	influence	NOUN
alkej-905	393	21	that	that	PRON
alkej-905	393	22	the	the	DET
alkej-905	393	23	amount	amount	NOUN
alkej-905	393	24	of	of	ADP
alkej-905	393	25	excess	excess	ADJ
alkej-905	393	26	energy	energy	NOUN
alkej-905	393	27	exerted	exert	VERB
alkej-905	393	28	on	on	ADP
alkej-905	393	29	the	the	DET
alkej-905	393	30	plate	plate	NOUN
alkej-905	393	31	in	in	ADP
alkej-905	393	32	terms	term	NOUN
alkej-905	393	33	of	of	ADP
alkej-905	393	34	the	the	DET
alkej-905	393	35	increase	increase	NOUN
alkej-905	393	36	in	in	ADP
alkej-905	393	37	the	the	DET
alkej-905	393	38	crack	crack	NOUN
alkej-905	393	39	length	length	NOUN
alkej-905	393	40	from	from	ADP
alkej-905	393	41	(	(	PUNCT
alkej-905	393	42	ao	ao	PROPN
alkej-905	393	43	)	)	PUNCT
alkej-905	393	44	to	to	PART
alkej-905	393	45	(	(	PUNCT
alkej-905	393	46	ai	ai	VERB
alkej-905	393	47	)	)	PUNCT
alkej-905	393	48	[	[	X
alkej-905	393	49	17	17	NUM
alkej-905	393	50	]	]	X
alkej-905	393	51	.	.	PUNCT
alkej-905	394	1	physically	physically	ADV
alkej-905	394	2	,	,	PUNCT
alkej-905	394	3	it	it	PRON
alkej-905	394	4	has	have	AUX
alkej-905	394	5	been	be	AUX
alkej-905	394	6	scientifically	scientifically	ADV
alkej-905	394	7	proven	prove	VERB
alkej-905	394	8	[	[	X
alkej-905	394	9	21	21	NUM
alkej-905	394	10	]	]	PUNCT
alkej-905	394	11	,	,	PUNCT
alkej-905	394	12	[	[	X
alkej-905	394	13	22	22	NUM
alkej-905	394	14	]	]	PUNCT
alkej-905	394	15	that	that	SCONJ
alkej-905	394	16	the	the	DET
alkej-905	394	17	deformation	deformation	NOUN
alkej-905	394	18	that	that	PRON
alkej-905	394	19	appears	appear	VERB
alkej-905	394	20	at	at	ADP
alkej-905	394	21	the	the	DET
alkej-905	394	22	crack	crack	NOUN
alkej-905	394	23	edge	edge	NOUN
alkej-905	394	24	,	,	PUNCT
alkej-905	394	25	which	which	PRON
alkej-905	394	26	forms	form	VERB
alkej-905	394	27	the	the	DET
alkej-905	394	28	plastic	plastic	ADJ
alkej-905	394	29	area	area	NOUN
alkej-905	394	30	around	around	ADV
alkej-905	394	31	and	and	CCONJ
alkej-905	394	32	at	at	ADP
alkej-905	394	33	the	the	DET
alkej-905	394	34	tip	tip	NOUN
alkej-905	394	35	of	of	ADP
alkej-905	394	36	the	the	DET
alkej-905	394	37	crack	crack	NOUN
alkej-905	394	38	,	,	PUNCT
alkej-905	394	39	enhances	enhance	VERB
alkej-905	394	40	the	the	DET
alkej-905	394	41	resistance	resistance	NOUN
alkej-905	394	42	to	to	ADP
alkej-905	394	43	the	the	DET
alkej-905	394	44	appearance	appearance	NOUN
alkej-905	394	45	of	of	ADP
alkej-905	394	46	cracks	crack	NOUN
alkej-905	394	47	.	.	PUNCT
alkej-905	395	1	as	as	ADP
alkej-905	395	2	a	a	DET
alkej-905	395	3	result	result	NOUN
alkej-905	395	4	,	,	PUNCT
alkej-905	395	5	the	the	DET
alkej-905	395	6	necess	necess	NOUN
alkej-905	395	7	...	...	PUNCT
alkej-905	395	8	therefore	therefore	ADV
alkej-905	395	9	,	,	PUNCT
alkej-905	395	10	this	this	DET
alkej-905	395	11	research	research	NOUN
alkej-905	395	12	adopts	adopt	VERB
alkej-905	395	13	the	the	DET
alkej-905	395	14	assumption	assumption	NOUN
alkej-905	395	15	adopted	adopt	VERB
alkej-905	395	16	that	that	SCONJ
alkej-905	395	17	the	the	DET
alkej-905	395	18	energy	energy	NOUN
alkej-905	395	19	surrounded	surround	VERB
alkej-905	395	20	by	by	ADP
alkej-905	395	21	the	the	DET
alkej-905	395	22	crack	crack	NOUN
alkej-905	395	23	is	be	AUX
alkej-905	395	24	defined	define	VERB
alkej-905	395	25	as	as	ADP
alkej-905	395	26	an	an	DET
alkej-905	395	27	area	area	NOUN
alkej-905	395	28	that	that	PRON
alkej-905	395	29	resembles	resemble	VERB
alkej-905	395	30	a	a	DET
alkej-905	395	31	circle	circle	NOUN
alkej-905	395	32	.	.	PUNCT
alkej-905	396	1	the	the	DET
alkej-905	396	2	excess	excess	ADJ
alkej-905	396	3	energy	energy	NOUN
alkej-905	396	4	required	require	VERB
alkej-905	396	5	to	to	PART
alkej-905	396	6	start	start	VERB
alkej-905	396	7	the	the	DET
alkej-905	396	8	growth	growth	NOUN
alkej-905	396	9	of	of	ADP
alkej-905	396	10	the	the	DET
alkej-905	396	11	crack	crack	NOUN
alkej-905	396	12	is	be	AUX
alkej-905	396	13	less	less	ADJ
alkej-905	396	14	in	in	ADP
alkej-905	396	15	the	the	DET
alkej-905	396	16	case	case	NOUN
alkej-905	396	17	of	of	ADP
alkej-905	396	18	the	the	DET
alkej-905	396	19	crack	crack	NOUN
alkej-905	396	20	at	at	ADP
alkej-905	396	21	the	the	DET
alkej-905	396	22	edge	edge	NOUN
alkej-905	396	23	(	(	PUNCT
alkej-905	396	24	tha	tha	NOUN
alkej-905	396	25	...	...	PUNCT
alkej-905	396	26	the	the	DET
alkej-905	396	27	amount	amount	NOUN
alkej-905	396	28	of	of	ADP
alkej-905	396	29	excess	excess	ADJ
alkej-905	396	30	energy	energy	NOUN
alkej-905	396	31	,	,	PUNCT
alkej-905	396	32	uo	uo	NOUN
alkej-905	396	33	,	,	PUNCT
alkej-905	396	34	per	per	ADP
alkej-905	396	35	unit	unit	NOUN
alkej-905	396	36	thickness	thickness	NOUN
alkej-905	396	37	for	for	ADP
alkej-905	396	38	an	an	DET
alkej-905	396	39	edge	edge	NOUN
alkej-905	396	40	crack	crack	NOUN
alkej-905	396	41	is	be	AUX
alkej-905	396	42	as	as	SCONJ
alkej-905	396	43	follows	follow	VERB
alkej-905	396	44	:	:	PUNCT
alkej-905	396	45	,	,	PUNCT
alkej-905	396	46	u	u	NOUN
alkej-905	396	47	-	-	NOUN
alkej-905	396	48	o.=,,,σ-2.-2e.+,,2,1+υ.-e	o.=,,,σ-2.-2e.+,,2,1+υ.-e	PROPN
alkej-905	396	49	.	.	PUNCT
alkej-905	396	50	,,τ	,,τ	PROPN
alkej-905	396	51	-	-	PUNCT
alkej-905	396	52	o	o	NOUN
alkej-905	396	53	..	..	PUNCT
alkej-905	396	54	sin	sin	NOUN
alkej-905	396	55	,	,	PUNCT
alkej-905	396	56	wt-2	wt-2	X
alkej-905	396	57	..	..	PUNCT
alkej-905	396	58	-2	-2	NUM
alkej-905	396	59	...	...	PUNCT
alkej-905	396	60	,π	,π	PUNCT
alkej-905	396	61	,	,	PUNCT
alkej-905	396	62	a-2.-4	a-2.-4	PROPN
alkej-905	396	63	.	.	PROPN
alkej-905	397	1	…	…	PUNCT
alkej-905	397	2	(	(	PUNCT
alkej-905	397	3	14	14	NUM
alkej-905	397	4	)	)	PUNCT
alkej-905	397	5	fig	fig	NOUN
alkej-905	397	6	.	.	PUNCT
alkej-905	398	1	4	4	X
alkej-905	398	2	.	.	X
alkej-905	398	3	energy	energy	NOUN
alkej-905	398	4	around	around	ADP
alkej-905	398	5	the	the	DET
alkej-905	398	6	crack	crack	NOUN
alkej-905	398	7	at	at	ADP
alkej-905	398	8	the	the	DET
alkej-905	398	9	edge	edge	NOUN
alkej-905	398	10	of	of	ADP
alkej-905	398	11	the	the	DET
alkej-905	398	12	sample	sample	NOUN
alkej-905	398	13	.	.	PUNCT
alkej-905	399	1	the	the	DET
alkej-905	399	2	value	value	NOUN
alkej-905	399	3	of	of	ADP
alkej-905	399	4	the	the	DET
alkej-905	399	5	excess	excess	ADJ
alkej-905	399	6	energy	energy	NOUN
alkej-905	399	7	is	be	AUX
alkej-905	399	8	transformed	transform	VERB
alkej-905	399	9	into	into	ADP
alkej-905	399	10	the	the	DET
alkej-905	399	11	total	total	ADJ
alkej-905	399	12	energy	energy	NOUN
alkej-905	399	13	as	as	SCONJ
alkej-905	399	14	the	the	DET
alkej-905	399	15	cracking	cracking	NOUN
alkej-905	399	16	begins	begin	VERB
alkej-905	399	17	to	to	PART
alkej-905	399	18	propagate	propagate	VERB
alkej-905	399	19	.	.	PUNCT
alkej-905	400	1	this	this	DET
alkej-905	400	2	conversion	conversion	NOUN
alkej-905	400	3	results	result	NOUN
alkej-905	400	4	in	in	ADP
alkej-905	400	5	kinetic	kinetic	ADJ
alkej-905	400	6	energy	energy	NOUN
alkej-905	400	7	and	and	CCONJ
alkej-905	400	8	heat	heat	NOUN
alkej-905	400	9	;	;	PUNCT
alkej-905	400	10	however	however	ADV
alkej-905	400	11	,	,	PUNCT
alkej-905	400	12	the	the	DET
alkej-905	400	13	heat	heat	NOUN
alkej-905	400	14	energy	energy	NOUN
alkej-905	400	15	is	be	AUX
alkej-905	400	16	negligible	negligible	ADJ
alkej-905	400	17	in	in	ADP
alkej-905	400	18	a	a	DET
alkej-905	400	19	thin	thin	ADJ
alkej-905	400	20	plate	plate	NOUN
alkej-905	400	21	and	and	CCONJ
alkej-905	400	22	can	can	AUX
alkej-905	400	23	be	be	AUX
alkej-905	400	24	ignored	ignore	VERB
alkej-905	400	25	(	(	PUNCT
alkej-905	400	26	u	u	NOUN
alkej-905	400	27	=	=	NOUN
alkej-905	400	28	ttotal	ttotal	ADJ
alkej-905	400	29	)	)	PUNCT
alkej-905	400	30	.	.	PUNCT
alkej-905	401	1	,	,	PUNCT
alkej-905	401	2	,	,	PUNCT
alkej-905	401	3	,	,	PUNCT
alkej-905	401	4	σ-2.-2e.+,,2,1+υ.-e	σ-2.-2e.+,,2,1+υ.-e	NOUN
alkej-905	401	5	.	.	PUNCT
alkej-905	402	1	,,τ-𝑜	,,τ-𝑜	PUNCT
alkej-905	402	2	..	..	PUNCT
alkej-905	402	3	sin	sin	NOUN
alkej-905	402	4	,	,	PUNCT
alkej-905	402	5	wt-2	wt-2	PROPN
alkej-905	402	6	..	..	PUNCT
alkej-905	402	7	-2	-2	NUM
alkej-905	402	8	..	..	PUNCT
alkej-905	402	9	,π	,π	PUNCT
alkej-905	402	10	,	,	PUNCT
alkej-905	402	11	a-2.-4.=	a-2.-4.=	PROPN
alkej-905	402	12	,	,	PUNCT
alkej-905	402	13	ρ	ρ	PROPN
alkej-905	402	14	,	,	PUNCT
alkej-905	402	15	ka	ka	PROPN
alkej-905	402	16	-	-	PUNCT
alkej-905	402	17	i-2.-,2e-2	i-2.-,2e-2	PROPN
alkej-905	402	18	..	..	PUNCT
alkej-905	402	19	[,,σ-2.+,,τ-𝑜.-2.,sin-2.,,wt-2	[,,σ-2.+,,τ-𝑜.-2.,sin-2.,,wt-2	X
alkej-905	402	20	....	....	PUNCT
alkej-905	402	21	,,,da	,,,da	PROPN
alkej-905	402	22	-	-	PUNCT
alkej-905	402	23	dt	dt	PROPN
alkej-905	402	24	..	..	PUNCT
alkej-905	402	25	-2	-2	INTJ
alkej-905	402	26	.	.	PUNCT
alkej-905	403	1	+	+	ADJ
alkej-905	403	2	,	,	PUNCT
alkej-905	403	3	,	,	PUNCT
alkej-905	403	4	τ-𝑜.-2	τ-𝑜.-2	PROPN
alkej-905	403	5	..	..	PUNCT
alkej-905	403	6	,	,	PUNCT
alkej-905	403	7	a	a	DET
alkej-905	403	8	-	-	PUNCT
alkej-905	403	9	o	o	NOUN
alkej-905	403	10	..	..	PUNCT
alkej-905	403	11	,w-2	,w-2	X
alkej-905	403	12	..	..	PUNCT
alkej-905	403	13	,sin-,,wt-2	,sin-,,wt-2	PROPN
alkej-905	403	14	....	....	PUNCT
alkej-905	403	15	,,da	,,da	PROPN
alkej-905	403	16	-	-	PUNCT
alkej-905	403	17	dt	dt	X
alkej-905	403	18	..	..	PUNCT
alkej-905	404	1	+	+	ADJ
alkej-905	404	2	,	,	PUNCT
alkej-905	404	3	,	,	PUNCT
alkej-905	404	4	τ-𝑜.-2	τ-𝑜.-2	PROPN
alkej-905	404	5	..	..	PROPN
alkej-905	404	6	,a	,a	PUNCT
alkej-905	404	7	-	-	PUNCT
alkej-905	404	8	o-2.,,w-2.-4	o-2.,,w-2.-4	ADJ
alkej-905	404	9	..	..	PUNCT
alkej-905	404	10	,cos-2.,,wt-2	,cos-2.,,wt-2	X
alkej-905	404	11	..	..	PUNCT
alkej-905	404	12	]	]	X
alkej-905	404	13	…	…	PUNCT
alkej-905	404	14	(	(	PUNCT
alkej-905	404	15	15	15	NUM
alkej-905	404	16	)	)	PUNCT
alkej-905	404	17	where	where	SCONJ
alkej-905	404	18	equation	equation	NOUN
alkej-905	404	19	(	(	PUNCT
alkej-905	404	20	15	15	NUM
alkej-905	404	21	)	)	PUNCT
alkej-905	404	22	is	be	AUX
alkej-905	404	23	the	the	DET
alkej-905	404	24	final	final	ADJ
alkej-905	404	25	crack	crack	NOUN
alkej-905	404	26	growth	growth	NOUN
alkej-905	404	27	equation	equation	NOUN
alkej-905	404	28	.	.	PUNCT
alkej-905	405	1	3	3	X
alkej-905	405	2	.	.	X
alkej-905	405	3	experimental	experimental	ADJ
alkej-905	405	4	work	work	NOUN
alkej-905	405	5	before	before	SCONJ
alkej-905	405	6	the	the	DET
alkej-905	405	7	samples	sample	NOUN
alkej-905	405	8	undergo	undergo	VERB
alkej-905	405	9	the	the	DET
alkej-905	405	10	apparatus	apparatus	NOUN
alkej-905	405	11	,	,	PUNCT
alkej-905	405	12	the	the	DET
alkej-905	405	13	mechanical	mechanical	ADJ
alkej-905	405	14	properties	property	NOUN
alkej-905	405	15	,	,	PUNCT
alkej-905	405	16	which	which	PRON
alkej-905	405	17	are	be	AUX
alkej-905	405	18	represented	represent	VERB
alkej-905	405	19	by	by	ADP
alkej-905	405	20	conducting	conduct	VERB
alkej-905	405	21	the	the	DET
alkej-905	405	22	vickers	vicker	NOUN
alkej-905	405	23	hardness	hardness	NOUN
alkej-905	405	24	test	test	NOUN
alkej-905	405	25	and	and	CCONJ
alkej-905	405	26	the	the	DET
alkej-905	405	27	tensile	tensile	NOUN
alkej-905	405	28	test	test	NOUN
alkej-905	405	29	,	,	PUNCT
alkej-905	405	30	and	and	CCONJ
alkej-905	405	31	the	the	DET
alkej-905	405	32	chemical	chemical	NOUN
alkej-905	405	33	properties	property	NOUN
alkej-905	405	34	,	,	PUNCT
alkej-905	405	35	must	must	AUX
alkej-905	405	36	be	be	AUX
alkej-905	405	37	determined	determine	VERB
alkej-905	405	38	.	.	PUNCT
alkej-905	406	1	the	the	DET
alkej-905	406	2	x	x	NOUN
alkej-905	406	3	-	-	NOUN
alkej-905	406	4	ray	ray	NOUN
alkej-905	406	5	device	device	NOUN
alkej-905	406	6	was	be	AUX
alkej-905	406	7	used	use	VERB
alkej-905	406	8	to	to	PART
alkej-905	406	9	analyse	analyse	VERB
alkej-905	406	10	the	the	DET
alkej-905	406	11	samples	sample	NOUN
alkej-905	406	12	to	to	PART
alkej-905	406	13	study	study	VERB
alkej-905	406	14	and	and	CCONJ
alkej-905	406	15	understand	understand	VERB
alkej-905	406	16	their	their	PRON
alkej-905	406	17	properties	property	NOUN
alkej-905	406	18	,	,	PUNCT
alkej-905	406	19	components	component	NOUN
alkej-905	406	20	of	of	ADP
alkej-905	406	21	chemical	chemical	ADJ
alkej-905	406	22	elements	element	NOUN
alkej-905	406	23	,	,	PUNCT
alkej-905	406	24	and	and	CCONJ
alkej-905	406	25	engineering	engineering	NOUN
alkej-905	406	26	behaviour	behaviour	NOUN
alkej-905	406	27	as	as	SCONJ
alkej-905	406	28	shown	show	VERB
alkej-905	406	29	in	in	ADP
alkej-905	406	30	fig	fig	NOUN
alkej-905	406	31	.	.	PUNCT
alkej-905	407	1	5	5	X
alkej-905	407	2	.	.	X
alkej-905	407	3	a	a	DET
alkej-905	407	4	edge	edge	NOUN
alkej-905	407	5	crack	crack	NOUN
alkej-905	407	6	x	x	NOUN
alkej-905	407	7	fig	fig	NOUN
alkej-905	407	8	.	.	PUNCT
alkej-905	408	1	5	5	X
alkej-905	408	2	.	.	X
alkej-905	408	3	mechanical	mechanical	ADJ
alkej-905	408	4	tests	test	NOUN
alkej-905	408	5	:	:	PUNCT
alkej-905	408	6	a	a	X
alkej-905	408	7	)	)	PUNCT
alkej-905	408	8	vickers	vicker	NOUN
alkej-905	408	9	hardening	harden	VERB
alkej-905	408	10	test	test	NOUN
alkej-905	408	11	;	;	PUNCT
alkej-905	408	12	b	b	X
alkej-905	408	13	)	)	PUNCT
alkej-905	408	14	zwick	zwick	NOUN
alkej-905	408	15	tensile	tensile	PROPN
alkej-905	408	16	test	test	NOUN
alkej-905	408	17	machine	machine	NOUN
alkej-905	408	18	;	;	PUNCT
alkej-905	408	19	c	c	X
alkej-905	408	20	)	)	PUNCT
alkej-905	408	21	standard	standard	ADJ
alkej-905	408	22	specimens	specimen	NOUN
alkej-905	408	23	for	for	ADP
alkej-905	408	24	tensile	tensile	NOUN
alkej-905	408	25	test	test	NOUN
alkej-905	408	26	.	.	PUNCT
alkej-905	409	1	tables	table	NOUN
alkej-905	409	2	1	1	NUM
alkej-905	409	3	and	and	CCONJ
alkej-905	409	4	2	2	NUM
alkej-905	409	5	show	show	VERB
alkej-905	409	6	the	the	DET
alkej-905	409	7	chemical	chemical	NOUN
alkej-905	409	8	composition	composition	NOUN
alkej-905	409	9	and	and	CCONJ
alkej-905	409	10	mechanical	mechanical	ADJ
alkej-905	409	11	properties	property	NOUN
alkej-905	409	12	of	of	ADP
alkej-905	409	13	the	the	DET
alkej-905	409	14	samples	sample	NOUN
alkej-905	409	15	.	.	PUNCT
alkej-905	410	1	table	table	NOUN
alkej-905	410	2	1	1	NUM
alkej-905	410	3	,	,	PUNCT
alkej-905	410	4	chemical	chemical	NOUN
alkej-905	410	5	composition	composition	NOUN
alkej-905	410	6	for	for	ADP
alkej-905	410	7	samples	sample	NOUN
alkej-905	410	8	table	table	NOUN
alkej-905	410	9	2	2	NUM
alkej-905	410	10	,	,	PUNCT
alkej-905	410	11	mechanical	mechanical	ADJ
alkej-905	410	12	properties	property	NOUN
alkej-905	410	13	for	for	ADP
alkej-905	410	14	samples	sample	NOUN
alkej-905	410	15	the	the	DET
alkej-905	410	16	research	research	NOUN
alkej-905	410	17	apparatus	apparatus	NOUN
alkej-905	410	18	that	that	PRON
alkej-905	410	19	applies	apply	VERB
alkej-905	410	20	a	a	DET
alkej-905	410	21	combined	combined	ADJ
alkej-905	410	22	load	load	NOUN
alkej-905	410	23	on	on	ADP
alkej-905	410	24	the	the	DET
alkej-905	410	25	sample	sample	NOUN
alkej-905	410	26	was	be	AUX
alkej-905	410	27	designed	design	VERB
alkej-905	410	28	regionally	regionally	ADV
alkej-905	410	29	[	[	X
alkej-905	411	1	5	5	NUM
alkej-905	411	2	]	]	PUNCT
alkej-905	411	3	.	.	PUNCT
alkej-905	412	1	the	the	DET
alkej-905	412	2	tensile	tensile	NOUN
alkej-905	412	3	load	load	NOUN
alkej-905	412	4	is	be	AUX
alkej-905	412	5	applied	apply	VERB
alkej-905	412	6	in	in	ADP
alkej-905	412	7	the	the	DET
alkej-905	412	8	vertical	vertical	ADJ
alkej-905	412	9	direction	direction	NOUN
alkej-905	412	10	relative	relative	ADJ
alkej-905	412	11	to	to	ADP
alkej-905	412	12	the	the	DET
alkej-905	412	13	level	level	NOUN
alkej-905	412	14	of	of	ADP
alkej-905	412	15	the	the	DET
alkej-905	412	16	crack	crack	NOUN
alkej-905	412	17	surface	surface	NOUN
alkej-905	412	18	to	to	PART
alkej-905	412	19	generate	generate	VERB
alkej-905	412	20	the	the	DET
alkej-905	412	21	opening	opening	NOUN
alkej-905	412	22	mode	mode	NOUN
alkej-905	412	23	(	(	PUNCT
alkej-905	412	24	mode	mode	NOUN
alkej-905	412	25	i	i	PROPN
alkej-905	412	26	)	)	PUNCT
alkej-905	412	27	,	,	PUNCT
alkej-905	412	28	and	and	CCONJ
alkej-905	412	29	the	the	DET
alkej-905	412	30	apparatus	apparatus	NOUN
alkej-905	412	31	is	be	AUX
alkej-905	412	32	...	...	PUNCT
alkej-905	412	33	fig	fig	NOUN
alkej-905	412	34	.	.	PUNCT
alkej-905	413	1	6	6	NUM
alkej-905	413	2	:	:	PUNCT
alkej-905	413	3	a	a	X
alkej-905	413	4	)	)	PUNCT
alkej-905	413	5	strain	strain	NOUN
alkej-905	413	6	meter	meter	NOUN
alkej-905	413	7	device	device	NOUN
alkej-905	413	8	;	;	PUNCT
alkej-905	413	9	b	b	X
alkej-905	413	10	)	)	PUNCT
alkej-905	413	11	strain	strain	ADJ
alkej-905	413	12	gauge	gauge	NOUN
alkej-905	413	13	paste	paste	NOUN
alkej-905	413	14	on	on	ADP
alkej-905	413	15	the	the	DET
alkej-905	413	16	specimen	speciman	NOUN
alkej-905	413	17	.	.	PUNCT
alkej-905	414	1	this	this	DET
alkej-905	414	2	step	step	NOUN
alkej-905	414	3	allows	allow	VERB
alkej-905	414	4	the	the	DET
alkej-905	414	5	value	value	NOUN
alkej-905	414	6	of	of	ADP
alkej-905	414	7	the	the	DET
alkej-905	414	8	shear	shear	NOUN
alkej-905	414	9	strain	strain	NOUN
alkej-905	414	10	that	that	PRON
alkej-905	414	11	was	be	AUX
alkej-905	414	12	applied	apply	VERB
alkej-905	414	13	on	on	ADP
alkej-905	414	14	the	the	DET
alkej-905	414	15	specimen	speciman	NOUN
alkej-905	414	16	to	to	PART
alkej-905	414	17	be	be	AUX
alkej-905	414	18	measured	measure	VERB
alkej-905	414	19	by	by	ADP
alkej-905	414	20	two	two	NUM
alkej-905	414	21	strain	strain	NOUN
alkej-905	414	22	gauges	gauge	NOUN
alkej-905	414	23	with	with	ADP
alkej-905	414	24	120	120	NUM
alkej-905	414	25	ohms	ohm	NOUN
alkej-905	414	26	attached	attach	VERB
alkej-905	414	27	at	at	ADP
alkej-905	414	28	the	the	DET
alkej-905	414	29	centre	centre	NOUN
alkej-905	414	30	of	of	ADP
alkej-905	414	31	the	the	DET
alkej-905	414	32	sample	sample	NOUN
alkej-905	414	33	and	and	CCONJ
alkej-905	414	34	to	to	ADP
alkej-905	414	35	the	the	DET
alkej-905	414	36	top	top	ADJ
alkej-905	414	37	and	and	CCONJ
alkej-905	414	38	bottom	bottom	ADJ
alkej-905	414	39	faces	face	NOUN
alkej-905	414	40	(	(	PUNCT
alkej-905	414	41	half	half	ADJ
alkej-905	414	42	-	-	PUNCT
alkej-905	414	43	bridge	bridge	NOUN
alkej-905	414	44	)	)	PUNCT
alkej-905	415	1	[	[	X
alkej-905	415	2	24	24	NUM
alkej-905	415	3	]	]	PUNCT
alkej-905	415	4	,	,	PUNCT
alkej-905	415	5	see	see	VERB
alkej-905	415	6	fig	fig	NOUN
alkej-905	415	7	.	.	PUNCT
alkej-905	416	1	6	6	NUM
alkej-905	416	2	(	(	PUNCT
alkej-905	416	3	a	a	PRON
alkej-905	416	4	and	and	CCONJ
alkej-905	416	5	b	b	NOUN
alkej-905	416	6	)	)	PUNCT
alkej-905	416	7	.	.	PUNCT
alkej-905	417	1	six	six	NUM
alkej-905	417	2	sample	sample	NOUN
alkej-905	417	3	clamps	clamp	NOUN
alkej-905	417	4	make	make	VERB
alkej-905	417	5	up	up	ADP
alkej-905	417	6	the	the	DET
alkej-905	417	7	total	total	ADJ
alkej-905	417	8	number	number	NOUN
alkej-905	417	9	available	available	ADJ
alkej-905	417	10	;	;	PUNCT
alkej-905	417	11	two	two	NUM
alkej-905	417	12	are	be	AUX
alkej-905	417	13	permanently	permanently	ADV
alkej-905	417	14	attached	attach	VERB
alkej-905	417	15	,	,	PUNCT
alkej-905	417	16	and	and	CCONJ
alkej-905	417	17	the	the	DET
alkej-905	417	18	fourth	fourth	ADJ
alkej-905	417	19	clamp	clamp	NOUN
alkej-905	417	20	is	be	AUX
alkej-905	417	21	fixed	fix	VERB
alkej-905	417	22	.	.	PUNCT
alkej-905	418	1	fig	fig	NOUN
alkej-905	418	2	.	.	PUNCT
alkej-905	419	1	7	7	X
alkej-905	419	2	.	.	X
alkej-905	419	3	section	section	NOUN
alkej-905	419	4	of	of	ADP
alkej-905	419	5	the	the	DET
alkej-905	419	6	device	device	NOUN
alkej-905	419	7	by	by	ADP
alkej-905	419	8	solid	solid	ADJ
alkej-905	419	9	work	work	NOUN
alkej-905	419	10	program	program	NOUN
alkej-905	419	11	one	one	NUM
alkej-905	419	12	of	of	ADP
alkej-905	419	13	the	the	DET
alkej-905	419	14	movable	movable	ADJ
alkej-905	419	15	sample	sample	NOUN
alkej-905	419	16	grippers	gripper	NOUN
alkej-905	419	17	is	be	AUX
alkej-905	419	18	connected	connect	VERB
alkej-905	419	19	to	to	ADP
alkej-905	419	20	the	the	DET
alkej-905	419	21	hydraulic	hydraulic	ADJ
alkej-905	419	22	pump	pump	NOUN
alkej-905	419	23	that	that	PRON
alkej-905	419	24	pulls	pull	VERB
alkej-905	419	25	it	it	PRON
alkej-905	419	26	out	out	ADP
alkej-905	419	27	with	with	ADP
alkej-905	419	28	a	a	DET
alkej-905	419	29	tensile	tensile	NOUN
alkej-905	419	30	strength	strength	NOUN
alkej-905	419	31	of	of	ADP
alkej-905	419	32	30	30	NUM
alkej-905	419	33	bar	bar	NOUN
alkej-905	419	34	.	.	PUNCT
alkej-905	420	1	the	the	DET
alkej-905	420	2	other	other	ADJ
alkej-905	420	3	gripper	gripper	NOUN
alkej-905	420	4	is	be	AUX
alkej-905	420	5	connected	connect	VERB
alkej-905	420	6	to	to	ADP
alkej-905	420	7	the	the	DET
alkej-905	420	8	arm	arm	NOUN
alkej-905	420	9	generating	generate	VERB
alkej-905	420	10	periodic	periodic	ADJ
alkej-905	420	11	shear	shear	NOUN
alkej-905	420	12	load	load	NOUN
alkej-905	420	13	on	on	ADP
alkej-905	420	14	the	the	DET
alkej-905	420	15	sample	sample	NOUN
alkej-905	420	16	with	with	ADP
alkej-905	420	17	an	an	DET
alkej-905	420	18	entry	entry	NOUN
alkej-905	420	19	value	value	NOUN
alkej-905	420	20	of	of	ADP
alkej-905	420	21	0.00188	0.00188	NUM
alkej-905	420	22	of	of	ADP
alkej-905	420	23	shear	shear	PROPN
alkej-905	420	24	s	s	PROPN
alkej-905	420	25	...	...	PUNCT
alkej-905	420	26	fig	fig	NOUN
alkej-905	420	27	.	.	PUNCT
alkej-905	421	1	8	8	X
alkej-905	421	2	.	.	X
alkej-905	421	3	section	section	NOUN
alkej-905	421	4	of	of	ADP
alkej-905	421	5	the	the	DET
alkej-905	421	6	fatigue	fatigue	NOUN
alkej-905	421	7	device	device	NOUN
alkej-905	421	8	the	the	DET
alkej-905	421	9	specimen	speciman	NOUN
alkej-905	421	10	has	have	VERB
alkej-905	421	11	an	an	DET
alkej-905	421	12	edge	edge	NOUN
alkej-905	421	13	pre	pre	ADJ
alkej-905	421	14	-	-	ADJ
alkej-905	421	15	crack	crack	ADJ
alkej-905	421	16	length	length	NOUN
alkej-905	421	17	of	of	ADP
alkej-905	421	18	5	5	NUM
alkej-905	421	19	mm	mm	NOUN
alkej-905	421	20	and	and	CCONJ
alkej-905	421	21	a	a	DET
alkej-905	421	22	thickness	thickness	NOUN
alkej-905	421	23	of	of	ADP
alkej-905	421	24	0.2	0.2	NUM
alkej-905	421	25	mm	mm	NOUN
alkej-905	421	26	;	;	PUNCT
alkej-905	421	27	the	the	DET
alkej-905	421	28	overall	overall	ADJ
alkej-905	421	29	dimensions	dimension	NOUN
alkej-905	421	30	of	of	ADP
alkej-905	421	31	the	the	DET
alkej-905	421	32	specimen	speciman	NOUN
alkej-905	421	33	are	be	AUX
alkej-905	421	34	160	160	NUM
alkej-905	421	35	x	x	SYM
alkej-905	421	36	40	40	NUM
alkej-905	421	37	x	x	SYM
alkej-905	421	38	2	2	NUM
alkej-905	421	39	mm	mm	NOUN
alkej-905	421	40	.	.	PUNCT
alkej-905	422	1	the	the	DET
alkej-905	422	2	specimen	speciman	NOUN
alkej-905	422	3	was	be	AUX
alkej-905	422	4	cut	cut	VERB
alkej-905	422	5	and	and	CCONJ
alkej-905	422	6	cracked	crack	VERB
alkej-905	422	7	using	use	VERB
alkej-905	422	8	a	a	DET
alkej-905	422	9	wire	wire	NOUN
alkej-905	422	10	-	-	PUNCT
alkej-905	422	11	cutting	cutting	NOUN
alkej-905	422	12	(	(	PUNCT
alkej-905	422	13	electrical	electrical	ADJ
alkej-905	422	14	discharge	discharge	NOUN
alkej-905	422	15	machining	machining	NOUN
alkej-905	422	16	)	)	PUNCT
alkej-905	422	17	,	,	PUNCT
alkej-905	422	18	as	as	SCONJ
alkej-905	422	19	shown	show	VERB
alkej-905	422	20	in	in	ADP
alkej-905	422	21	(	(	PUNCT
alkej-905	422	22	fig	fig	NOUN
alkej-905	422	23	.	.	PUNCT
alkej-905	423	1	9	9	NUM
alkej-905	423	2	)	)	PUNCT
alkej-905	423	3	.	.	PUNCT
alkej-905	424	1	fig	fig	NOUN
alkej-905	424	2	.	.	PUNCT
alkej-905	425	1	9	9	NUM
alkej-905	425	2	:	:	PUNCT
alkej-905	425	3	a	a	X
alkej-905	425	4	)	)	PUNCT
alkej-905	425	5	aluminium	aluminium	NOUN
alkej-905	425	6	alloy	alloy	NOUN
alkej-905	425	7	specimen	speciman	NOUN
alkej-905	425	8	b	b	NOUN
alkej-905	425	9	)	)	PUNCT
alkej-905	425	10	crack	crack	VERB
alkej-905	425	11	propagation	propagation	NOUN
alkej-905	425	12	the	the	DET
alkej-905	425	13	growth	growth	NOUN
alkej-905	425	14	of	of	ADP
alkej-905	425	15	the	the	DET
alkej-905	425	16	crack	crack	NOUN
alkej-905	425	17	in	in	ADP
alkej-905	425	18	the	the	DET
alkej-905	425	19	sample	sample	NOUN
alkej-905	425	20	was	be	AUX
alkej-905	425	21	observed	observe	VERB
alkej-905	425	22	using	use	VERB
alkej-905	425	23	a	a	DET
alkej-905	425	24	digital	digital	ADJ
alkej-905	425	25	camera	camera	NOUN
alkej-905	425	26	(	(	PUNCT
alkej-905	425	27	nikon	nikon	PROPN
alkej-905	425	28	coolpix	coolpix	PROPN
alkej-905	425	29	b700	b700	PROPN
alkej-905	425	30	)	)	PUNCT
alkej-905	425	31	,	,	PUNCT
alkej-905	425	32	and	and	CCONJ
alkej-905	425	33	the	the	DET
alkej-905	425	34	data	datum	NOUN
alkej-905	425	35	were	be	AUX
alkej-905	425	36	transformed	transform	VERB
alkej-905	425	37	to	to	PART
alkej-905	425	38	determine	determine	VERB
alkej-905	425	39	the	the	DET
alkej-905	425	40	length	length	NOUN
alkej-905	425	41	of	of	ADP
alkej-905	425	42	the	the	DET
alkej-905	425	43	crack	crack	NOUN
alkej-905	425	44	using	use	VERB
alkej-905	425	45	the	the	DET
alkej-905	425	46	image	image	NOUN
alkej-905	425	47	processing	processing	NOUN
alkej-905	425	48	software	software	NOUN
alkej-905	425	49	(	(	PUNCT
alkej-905	425	50	image	image	NOUN
alkej-905	425	51	j	j	PROPN
alkej-905	425	52	)	)	PUNCT
alkej-905	425	53	.	.	PUNCT
alkej-905	426	1	4	4	X
alkej-905	426	2	.	.	NOUN
alkej-905	426	3	results	result	NOUN
alkej-905	426	4	and	and	CCONJ
alkej-905	426	5	discussion	discussion	VERB
alkej-905	426	6	the	the	DET
alkej-905	426	7	results	result	NOUN
alkej-905	426	8	of	of	ADP
alkej-905	426	9	the	the	DET
alkej-905	426	10	experiments	experiment	NOUN
alkej-905	426	11	indicate	indicate	VERB
alkej-905	426	12	differences	difference	NOUN
alkej-905	426	13	in	in	ADP
alkej-905	426	14	the	the	DET
alkej-905	426	15	rate	rate	NOUN
alkej-905	426	16	of	of	ADP
alkej-905	426	17	crack	crack	NOUN
alkej-905	426	18	initiation	initiation	NOUN
alkej-905	426	19	and	and	CCONJ
alkej-905	426	20	growth	growth	NOUN
alkej-905	426	21	between	between	ADP
alkej-905	426	22	the	the	DET
alkej-905	426	23	6061	6061	NUM
alkej-905	426	24	and	and	CCONJ
alkej-905	426	25	5052	5052	NUM
alkej-905	426	26	aluminium	aluminium	NOUN
alkej-905	426	27	alloys	alloy	NOUN
alkej-905	426	28	.	.	PUNCT
alkej-905	427	1	the	the	DET
alkej-905	427	2	differences	difference	NOUN
alkej-905	427	3	were	be	AUX
alkej-905	427	4	based	base	VERB
alkej-905	427	5	on	on	ADP
alkej-905	427	6	the	the	DET
alkej-905	427	7	elasticity	elasticity	NOUN
alkej-905	427	8	of	of	ADP
alkej-905	427	9	the	the	DET
alkej-905	427	10	material	material	NOUN
alkej-905	427	11	,	,	PUNCT
alkej-905	427	12	which	which	PRON
alkej-905	427	13	is	be	AUX
alkej-905	427	14	the	the	DET
alkej-905	427	15	initiation	initiation	NOUN
alkej-905	427	16	of	of	ADP
alkej-905	427	17	life	life	NOUN
alkej-905	427	18	,	,	PUNCT
alkej-905	427	19	and	and	CCONJ
alkej-905	427	20	the	the	DET
alkej-905	427	21	crack	crack	PROPN
alkej-905	427	22	gro	gro	PROPN
alkej-905	427	23	...	...	PUNCT
alkej-905	427	24	a	a	X
alkej-905	427	25	)	)	PUNCT
alkej-905	427	26	the	the	DET
alkej-905	427	27	results	result	NOUN
alkej-905	427	28	of	of	ADP
alkej-905	427	29	the	the	DET
alkej-905	427	30	rate	rate	NOUN
alkej-905	427	31	of	of	ADP
alkej-905	427	32	crack	crack	NOUN
alkej-905	427	33	length	length	NOUN
alkej-905	427	34	during	during	ADP
alkej-905	427	35	the	the	DET
alkej-905	427	36	time	time	NOUN
alkej-905	427	37	and	and	CCONJ
alkej-905	427	38	number	number	NOUN
alkej-905	427	39	of	of	ADP
alkej-905	427	40	cycles	cycle	NOUN
alkej-905	427	41	n	n	CCONJ
alkej-905	427	42	were	be	AUX
alkej-905	427	43	compared	compare	VERB
alkej-905	427	44	with	with	ADP
alkej-905	427	45	the	the	DET
alkej-905	427	46	data	datum	NOUN
alkej-905	427	47	generated	generate	VERB
alkej-905	427	48	from	from	ADP
alkej-905	427	49	the	the	DET
alkej-905	427	50	theoretical	theoretical	ADJ
alkej-905	427	51	analysis	analysis	NOUN
alkej-905	427	52	equation	equation	NOUN
alkej-905	427	53	derived	derive	VERB
alkej-905	427	54	in	in	ADP
alkej-905	427	55	study	study	NOUN
alkej-905	427	56	)	)	PUNCT
alkej-905	427	57	equation	equation	NOUN
alkej-905	427	58	(	(	PUNCT
alkej-905	427	59	15	15	NUM
alkej-905	427	60	)	)	PUNCT
alkej-905	427	61	)	)	PUNCT
alkej-905	427	62	.	.	PUNCT
alkej-905	428	1	fig	fig	NOUN
alkej-905	428	2	.	.	PUNCT
alkej-905	429	1	10	10	NUM
alkej-905	429	2	.	.	PUNCT
alkej-905	429	3	result	result	NOUN
alkej-905	429	4	of	of	ADP
alkej-905	429	5	(	(	PUNCT
alkej-905	429	6	a	a	PRON
alkej-905	429	7	-	-	PUNCT
alkej-905	429	8	n	n	CCONJ
alkej-905	429	9	)	)	PUNCT
alkej-905	429	10	for	for	ADP
alkej-905	429	11	alloy	alloy	NOUN
alkej-905	429	12	5052	5052	NUM
alkej-905	429	13	.	.	PUNCT
alkej-905	430	1	a	a	DET
alkej-905	430	2	comparison	comparison	NOUN
alkej-905	430	3	of	of	ADP
alkej-905	430	4	the	the	DET
alkej-905	430	5	number	number	NOUN
alkej-905	430	6	of	of	ADP
alkej-905	430	7	cycles	cycle	NOUN
alkej-905	430	8	(	(	PUNCT
alkej-905	430	9	n	n	CCONJ
alkej-905	430	10	)	)	PUNCT
alkej-905	430	11	with	with	ADP
alkej-905	430	12	the	the	DET
alkej-905	430	13	length	length	NOUN
alkej-905	430	14	of	of	ADP
alkej-905	430	15	the	the	DET
alkej-905	430	16	crack	crack	NOUN
alkej-905	430	17	(	(	PUNCT
alkej-905	430	18	a	a	X
alkej-905	430	19	)	)	PUNCT
alkej-905	430	20	formed	form	VERB
alkej-905	430	21	for	for	ADP
alkej-905	430	22	the	the	DET
alkej-905	430	23	experimental	experimental	ADJ
alkej-905	430	24	and	and	CCONJ
alkej-905	430	25	theoretical	theoretical	ADJ
alkej-905	430	26	results	result	NOUN
alkej-905	430	27	from	from	ADP
alkej-905	430	28	(	(	PUNCT
alkej-905	430	29	equation	equation	NOUN
alkej-905	430	30	15	15	NUM
alkej-905	430	31	)	)	PUNCT
alkej-905	430	32	for	for	ADP
alkej-905	430	33	sample	sample	NOUN
alkej-905	430	34	5052	5052	NUM
alkej-905	430	35	,	,	PUNCT
alkej-905	430	36	in	in	ADP
alkej-905	430	37	which	which	PRON
alkej-905	430	38	the	the	DET
alkej-905	430	39	pre	pre	ADJ
alkej-905	430	40	-	-	ADJ
alkej-905	430	41	prepared	prepared	ADJ
alkej-905	430	42	crack	crack	NOUN
alkej-905	430	43	begins	begin	VERB
alkej-905	430	44	to	to	PART
alkej-905	430	45	grow	grow	VERB
alkej-905	430	46	at	at	ADP
alkej-905	430	47	100,000	100,000	NUM
alkej-905	430	48	cycles	cycle	NOUN
alkej-905	430	49	shows	show	VERB
alkej-905	430	50	that	that	SCONJ
alkej-905	430	51	initially	initially	ADV
alkej-905	430	52	,	,	PUNCT
alkej-905	430	53	th	th	X
alkej-905	430	54	...	...	PUNCT
alkej-905	430	55	fig	fig	NOUN
alkej-905	430	56	.	.	PUNCT
alkej-905	431	1	11	11	NUM
alkej-905	431	2	.	.	PUNCT
alkej-905	432	1	results	result	NOUN
alkej-905	432	2	in	in	ADP
alkej-905	432	3	(	(	PUNCT
alkej-905	432	4	a	a	PRON
alkej-905	432	5	-	-	PUNCT
alkej-905	432	6	n	n	CCONJ
alkej-905	432	7	)	)	PUNCT
alkej-905	432	8	for	for	ADP
alkej-905	432	9	alloy	alloy	NOUN
alkej-905	432	10	6061	6061	NUM
alkej-905	432	11	.	.	PUNCT
alkej-905	433	1	for	for	ADP
alkej-905	433	2	sample	sample	NOUN
alkej-905	433	3	6061	6061	NUM
alkej-905	433	4	,	,	PUNCT
alkej-905	433	5	the	the	DET
alkej-905	433	6	number	number	NOUN
alkej-905	433	7	of	of	ADP
alkej-905	433	8	cycles	cycle	NOUN
alkej-905	433	9	(	(	PUNCT
alkej-905	433	10	n	n	CCONJ
alkej-905	433	11	)	)	PUNCT
alkej-905	433	12	and	and	CCONJ
alkej-905	433	13	the	the	DET
alkej-905	433	14	length	length	NOUN
alkej-905	433	15	of	of	ADP
alkej-905	433	16	the	the	DET
alkej-905	433	17	crack	crack	NOUN
alkej-905	433	18	(	(	PUNCT
alkej-905	433	19	a	a	X
alkej-905	433	20	)	)	PUNCT
alkej-905	433	21	formed	form	VERB
alkej-905	433	22	for	for	ADP
alkej-905	433	23	the	the	DET
alkej-905	433	24	experimental	experimental	ADJ
alkej-905	433	25	and	and	CCONJ
alkej-905	433	26	theoretical	theoretical	ADJ
alkej-905	433	27	results	result	NOUN
alkej-905	433	28	from	from	ADP
alkej-905	433	29	equation	equation	NOUN
alkej-905	433	30	15	15	NUM
alkej-905	433	31	where	where	SCONJ
alkej-905	433	32	the	the	DET
alkej-905	433	33	crack	crack	NOUN
alkej-905	433	34	of	of	ADP
alkej-905	433	35	initiation	initiation	NOUN
alkej-905	433	36	was	be	AUX
alkej-905	433	37	at	at	ADP
alkej-905	433	38	250000	250000	NUM
alkej-905	433	39	cycles	cycle	NOUN
alkej-905	433	40	.	.	PUNCT
alkej-905	434	1	the	the	DET
alkej-905	434	2	results	result	NOUN
alkej-905	434	3	are	be	AUX
alkej-905	434	4	close	close	ADJ
alkej-905	434	5	,	,	PUNCT
alkej-905	434	6	and	and	CCONJ
alkej-905	434	7	the	the	DET
alkej-905	434	8	length	length	NOUN
alkej-905	434	9	of	of	ADP
alkej-905	434	10	10	10	NUM
alkej-905	434	11	mm	mm	NOUN
alkej-905	434	12	was	be	AUX
alkej-905	434	13	reach	reach	VERB
alkej-905	434	14	...	...	PUNCT
alkej-905	434	15	fig	fig	NOUN
alkej-905	434	16	.	.	PUNCT
alkej-905	435	1	12	12	NUM
alkej-905	435	2	.	.	PUNCT
alkej-905	436	1	experimental	experimental	ADJ
alkej-905	436	2	results	result	NOUN
alkej-905	436	3	of	of	ADP
alkej-905	436	4	(	(	PUNCT
alkej-905	436	5	a	a	PRON
alkej-905	436	6	-	-	PUNCT
alkej-905	436	7	n	n	CCONJ
alkej-905	436	8	)	)	PUNCT
alkej-905	436	9	for	for	ADP
alkej-905	436	10	alloys	alloy	NOUN
alkej-905	436	11	6061	6061	NUM
alkej-905	436	12	and	and	CCONJ
alkej-905	436	13	5052	5052	NUM
alkej-905	436	14	.	.	PUNCT
alkej-905	437	1	the	the	DET
alkej-905	437	2	m	m	NOUN
alkej-905	437	3	and	and	CCONJ
alkej-905	437	4	c	c	NOUN
alkej-905	437	5	values	value	NOUN
alkej-905	437	6	of	of	ADP
alkej-905	437	7	the	the	DET
alkej-905	437	8	paris	paris	PROPN
alkej-905	437	9	equation	equation	NOUN
alkej-905	437	10	[	[	X
alkej-905	437	11	25	25	NUM
alkej-905	437	12	]	]	PUNCT
alkej-905	437	13	were	be	AUX
alkej-905	437	14	extracted	extract	VERB
alkej-905	437	15	experimentally	experimentally	ADV
alkej-905	437	16	and	and	CCONJ
alkej-905	437	17	analytically	analytically	ADV
alkej-905	437	18	using	use	VERB
alkej-905	437	19	the	the	DET
alkej-905	437	20	log	log	NOUN
alkej-905	437	21	plot	plot	NOUN
alkej-905	437	22	method	method	NOUN
alkej-905	437	23	,	,	PUNCT
alkej-905	437	24	where	where	SCONJ
alkej-905	437	25	the	the	DET
alkej-905	437	26	value	value	NOUN
alkej-905	437	27	of	of	ADP
alkej-905	437	28	c	c	PROPN
alkej-905	437	29	is	be	AUX
alkej-905	437	30	(	(	PUNCT
alkej-905	437	31	8.5113	8.5113	NUM
alkej-905	437	32	*	*	SYM
alkej-905	437	33	10	10	NUM
alkej-905	437	34	-	-	SYM
alkej-905	437	35	7	7	NUM
alkej-905	437	36	,	,	PUNCT
alkej-905	437	37	6.309	6.309	NUM
alkej-905	437	38	*	*	SYM
alkej-905	437	39	10	10	NUM
alkej-905	437	40	-	-	SYM
alkej-905	437	41	7	7	NUM
alkej-905	437	42	)	)	PUNCT
alkej-905	437	43	,	,	PUNCT
alkej-905	437	44	,	,	PUNCT
alkej-905	437	45	,	,	PUNCT
alkej-905	437	46	mm	mm	NOUN
alkej-905	437	47	-	-	PUNCT
alkej-905	437	48	cycle	cycle	NOUN
alkej-905	437	49	..	..	PUNCT
alkej-905	437	50	-,𝑀𝑃𝑎,𝑚	-,𝑀𝑃𝑎,𝑚	PROPN
alkej-905	437	51	...	...	PUNCT
alkej-905	437	52	and	and	CCONJ
alkej-905	437	53	m	m	PROPN
alkej-905	437	54	is	be	AUX
alkej-905	437	55	(	(	PUNCT
alkej-905	437	56	2.3571	2.3571	NUM
alkej-905	437	57	,	,	PUNCT
alkej-905	437	58	2.428	2.428	NUM
alkej-905	437	59	)	)	PUNCT
alkej-905	437	60	for	for	ADP
alkej-905	437	61	alloy	alloy	NOUN
alkej-905	437	62	6061	6061	NUM
alkej-905	437	63	,	,	PUNCT
alkej-905	437	64	while	while	SCONJ
alkej-905	437	65	the	the	DET
alkej-905	437	66	va	va	PROPN
alkej-905	437	67	...	...	PUNCT
alkej-905	437	68	fig	fig	NOUN
alkej-905	437	69	.	.	PUNCT
alkej-905	438	1	13	13	NUM
alkej-905	438	2	.	.	X
alkej-905	439	1	experimental	experimental	ADJ
alkej-905	439	2	and	and	CCONJ
alkej-905	439	3	theoretical	theoretical	ADJ
alkej-905	439	4	results	result	NOUN
alkej-905	439	5	for	for	ADP
alkej-905	439	6	the	the	DET
alkej-905	439	7	alloy	alloy	NOUN
alkej-905	439	8	the	the	DET
alkej-905	439	9	crack	crack	NOUN
alkej-905	439	10	initiation	initiation	NOUN
alkej-905	439	11	for	for	ADP
alkej-905	439	12	the	the	DET
alkej-905	439	13	two	two	NUM
alkej-905	439	14	samples	sample	NOUN
alkej-905	439	15	at	at	ADP
alkej-905	439	16	100,000	100,000	NUM
alkej-905	439	17	and	and	CCONJ
alkej-905	439	18	250,000	250,000	NUM
alkej-905	439	19	cycles	cycle	NOUN
alkej-905	439	20	for	for	ADP
alkej-905	439	21	the	the	DET
alkej-905	439	22	two	two	NUM
alkej-905	439	23	samples	sample	NOUN
alkej-905	439	24	,	,	PUNCT
alkej-905	439	25	5052	5052	NUM
alkej-905	439	26	and	and	CCONJ
alkej-905	439	27	6061	6061	NUM
alkej-905	439	28	were	be	AUX
alkej-905	439	29	based	base	VERB
alkej-905	439	30	on	on	ADP
alkej-905	439	31	the	the	DET
alkej-905	439	32	experimental	experimental	ADJ
alkej-905	439	33	results	result	NOUN
alkej-905	439	34	as	as	SCONJ
alkej-905	439	35	shown	show	VERB
alkej-905	439	36	in	in	ADP
alkej-905	439	37	figs	fig	NOUN
alkej-905	439	38	.	.	PUNCT
alkej-905	440	1	(	(	PUNCT
alkej-905	440	2	10–13	10–13	NUM
alkej-905	440	3	)	)	PUNCT
alkej-905	440	4	.	.	PUNCT
alkej-905	441	1	in	in	ADP
alkej-905	441	2	contrast	contrast	NOUN
alkej-905	441	3	to	to	ADP
alkej-905	441	4	the	the	DET
alkej-905	441	5	crack	crack	NOUN
alkej-905	441	6	that	that	PRON
alkej-905	441	7	occurred	occur	VERB
alkej-905	441	8	in	in	ADP
alkej-905	441	9	sample	sample	NOUN
alkej-905	441	10	6061	6061	NUM
alkej-905	441	11	,	,	PUNCT
alkej-905	441	12	which	which	PRON
alkej-905	441	13	could	could	AUX
alkej-905	441	14	be	be	AUX
alkej-905	441	15	difficult	difficult	ADJ
alkej-905	441	16	to	to	PART
alkej-905	441	17	observe	observe	VERB
alkej-905	441	18	with	with	ADP
alkej-905	441	19	the	the	DET
alkej-905	441	20	naked	naked	ADJ
alkej-905	441	21	eye	eye	NOUN
alkej-905	441	22	because	because	SCONJ
alkej-905	441	23	of	of	ADP
alkej-905	441	24	the	the	DET
alkej-905	441	25	molecular	molecular	ADJ
alkej-905	441	26	characteristics	characteristic	NOUN
alkej-905	441	27	of	of	ADP
alkej-905	441	28	the	the	DET
alkej-905	441	29	material	material	NOUN
alkej-905	441	30	,	,	PUNCT
alkej-905	441	31	the	the	DET
alkej-905	441	32	shape	shape	NOUN
alkej-905	441	33	of	of	ADP
alkej-905	441	34	the	the	DET
alkej-905	441	35	crack	crack	NOUN
alkej-905	441	36	in	in	ADP
alkej-905	441	37	sample	sample	NOUN
alkej-905	441	38	5052	5052	NUM
alkej-905	441	39	–	–	PUNCT
alkej-905	441	40	aa	aa	PROPN
alkej-905	441	41	was	be	AUX
alkej-905	441	42	often	often	ADV
alkej-905	441	43	plainly	plainly	ADV
alkej-905	441	44	apparent	apparent	ADJ
alkej-905	441	45	and	and	CCONJ
alkej-905	441	46	contains	contain	VERB
alkej-905	441	47	si	si	PROPN
alkej-905	441	48	...	...	ADJ
alkej-905	441	49	fig	fig	NOUN
alkej-905	441	50	.	.	PUNCT
alkej-905	442	1	14	14	NUM
alkej-905	442	2	.	.	PUNCT
alkej-905	443	1	crack	crack	VERB
alkej-905	443	2	propagation	propagation	NOUN
alkej-905	443	3	in	in	ADP
alkej-905	443	4	alloys	alloy	NOUN
alkej-905	443	5	experimentally	experimentally	ADV
alkej-905	443	6	:	:	PUNCT
alkej-905	443	7	a.	a.	NOUN
alkej-905	443	8	alloy	alloy	NOUN
alkej-905	443	9	5052	5052	NUM
alkej-905	443	10	-	-	PUNCT
alkej-905	443	11	aa	aa	NOUN
alkej-905	443	12	;	;	PUNCT
alkej-905	443	13	b.	b.	PROPN
alkej-905	443	14	alloy	alloy	NOUN
alkej-905	443	15	6061	6061	NUM
alkej-905	443	16	-	-	NOUN
alkej-905	443	17	aa	aa	NOUN
alkej-905	443	18	in	in	ADP
alkej-905	443	19	contrast	contrast	NOUN
alkej-905	443	20	,	,	PUNCT
alkej-905	443	21	the	the	DET
alkej-905	443	22	crack	crack	NOUN
alkej-905	443	23	that	that	PRON
alkej-905	443	24	formed	form	VERB
alkej-905	443	25	in	in	ADP
alkej-905	443	26	sample	sample	NOUN
alkej-905	443	27	6061	6061	NUM
alkej-905	443	28	was	be	AUX
alkej-905	443	29	difficult	difficult	ADJ
alkej-905	443	30	to	to	PART
alkej-905	443	31	notice	notice	VERB
alkej-905	443	32	with	with	ADP
alkej-905	443	33	the	the	DET
alkej-905	443	34	naked	naked	ADJ
alkej-905	443	35	eye	eye	NOUN
alkej-905	443	36	,	,	PUNCT
alkej-905	443	37	as	as	SCONJ
alkej-905	443	38	shown	show	VERB
alkej-905	443	39	in	in	ADP
alkej-905	443	40	fig	fig	NOUN
alkej-905	443	41	.	.	PUNCT
alkej-905	444	1	14	14	NUM
alkej-905	444	2	.	.	PUNCT
alkej-905	445	1	initially	initially	ADV
alkej-905	445	2	,	,	PUNCT
alkej-905	445	3	an	an	DET
alkej-905	445	4	agreement	agreement	NOUN
alkej-905	445	5	in	in	ADP
alkej-905	445	6	the	the	DET
alkej-905	445	7	prediction	prediction	NOUN
alkej-905	445	8	of	of	ADP
alkej-905	445	9	the	the	DET
alkej-905	445	10	findings	finding	NOUN
alkej-905	445	11	could	could	AUX
alkej-905	445	12	be	be	AUX
alkej-905	445	13	observed	observe	VERB
alkej-905	445	14	and	and	CCONJ
alkej-905	445	15	used	use	VERB
alkej-905	445	16	to	to	PART
alkej-905	445	17	examine	examine	VERB
alkej-905	445	18	the	the	DET
alkej-905	445	19	relation	relation	NOUN
alkej-905	445	20	between	between	ADP
alkej-905	445	21	the	the	DET
alkej-905	445	22	length	length	NOUN
alkej-905	445	23	of	of	ADP
alkej-905	445	24	the	the	DET
alkej-905	445	25	c	c	PROPN
alkej-905	445	26	...	...	PUNCT
alkej-905	445	27	fig	fig	NOUN
alkej-905	445	28	.	.	PUNCT
alkej-905	446	1	15	15	NUM
alkej-905	446	2	.	.	X
alkej-905	446	3	crack	crack	VERB
alkej-905	446	4	growth	growth	NOUN
alkej-905	446	5	steps	step	NOUN
alkej-905	446	6	in	in	ADP
alkej-905	446	7	5052	5052	NUM
alkej-905	446	8	-	-	PUNCT
alkej-905	446	9	aa	aa	NOUN
alkej-905	446	10	.	.	PUNCT
alkej-905	447	1	fig	fig	NOUN
alkej-905	447	2	.	.	PUNCT
alkej-905	448	1	16	16	NUM
alkej-905	448	2	.	.	PUNCT
alkej-905	449	1	crack	crack	VERB
alkej-905	449	2	growth	growth	NOUN
alkej-905	449	3	steps	step	NOUN
alkej-905	449	4	in	in	ADP
alkej-905	449	5	6061	6061	NUM
alkej-905	449	6	-	-	SYM
alkej-905	449	7	aa	aa	NOUN
alkej-905	449	8	.	.	PUNCT
alkej-905	450	1	when	when	SCONJ
alkej-905	450	2	the	the	DET
alkej-905	450	3	number	number	NOUN
alkej-905	450	4	of	of	ADP
alkej-905	450	5	cycles	cycle	NOUN
alkej-905	450	6	is	be	AUX
alkej-905	450	7	increased	increase	VERB
alkej-905	450	8	,	,	PUNCT
alkej-905	450	9	a	a	DET
alkej-905	450	10	difference	difference	NOUN
alkej-905	450	11	can	can	AUX
alkej-905	450	12	be	be	AUX
alkej-905	450	13	observed	observe	VERB
alkej-905	450	14	between	between	ADP
alkej-905	450	15	the	the	DET
alkej-905	450	16	experimental	experimental	ADJ
alkej-905	450	17	and	and	CCONJ
alkej-905	450	18	theoretical	theoretical	ADJ
alkej-905	450	19	curves	curve	NOUN
alkej-905	450	20	.	.	PUNCT
alkej-905	451	1	the	the	DET
alkej-905	451	2	reason	reason	NOUN
alkej-905	451	3	for	for	ADP
alkej-905	451	4	this	this	DET
alkej-905	451	5	difference	difference	NOUN
alkej-905	451	6	is	be	AUX
alkej-905	451	7	due	due	ADJ
alkej-905	451	8	to	to	ADP
alkej-905	451	9	the	the	DET
alkej-905	451	10	nature	nature	NOUN
alkej-905	451	11	of	of	ADP
alkej-905	451	12	the	the	DET
alkej-905	451	13	material	material	NOUN
alkej-905	451	14	[	[	X
alkej-905	451	15	26	26	NUM
alkej-905	451	16	]	]	PUNCT
alkej-905	451	17	in	in	ADP
alkej-905	451	18	the	the	DET
alkej-905	451	19	experimental	experimental	ADJ
alkej-905	451	20	test	test	NOUN
alkej-905	451	21	;	;	PUNCT
alkej-905	451	22	the	the	DET
alkej-905	451	23	material	material	NOUN
alkej-905	451	24	used	use	VERB
alkej-905	451	25	was	be	AUX
alkej-905	451	26	a	a	DET
alkej-905	451	27	commercial	commercial	ADJ
alkej-905	451	28	...	...	PUNCT
alkej-905	451	29	5	5	X
alkej-905	451	30	.	.	X
alkej-905	451	31	conclusion	conclusion	NOUN
alkej-905	451	32			NOUN
alkej-905	452	1	the	the	DET
alkej-905	452	2	experimental	experimental	ADJ
alkej-905	452	3	results	result	NOUN
alkej-905	452	4	are	be	AUX
alkej-905	452	5	consistent	consistent	ADJ
alkej-905	452	6	with	with	ADP
alkej-905	452	7	the	the	DET
alkej-905	452	8	mathematical	mathematical	ADJ
alkej-905	452	9	model	model	NOUN
alkej-905	452	10	developed	develop	VERB
alkej-905	452	11	for	for	ADP
alkej-905	452	12	the	the	DET
alkej-905	452	13	research	research	NOUN
alkej-905	452	14	.	.	PUNCT
alkej-905	453	1	the	the	DET
alkej-905	453	2	estimate	estimate	NOUN
alkej-905	453	3	of	of	ADP
alkej-905	453	4	a	a	DET
alkej-905	453	5	crack	crack	NOUN
alkej-905	453	6	growing	grow	VERB
alkej-905	453	7	in	in	ADP
alkej-905	453	8	the	the	DET
alkej-905	453	9	material	material	NOUN
alkej-905	453	10	at	at	ADP
alkej-905	453	11	the	the	DET
alkej-905	453	12	beginning	beginning	NOUN
alkej-905	453	13	of	of	ADP
alkej-905	453	14	the	the	DET
alkej-905	453	15	chart	chart	NOUN
alkej-905	453	16	indicates	indicate	VERB
alkej-905	453	17	the	the	DET
alkej-905	453	18	connection	connection	NOUN
alkej-905	453	19	between	between	ADP
alkej-905	453	20	the	the	DET
alkej-905	453	21	length	length	NOUN
alkej-905	453	22	of	of	ADP
alkej-905	453	23	the	the	DET
alkej-905	453	24	fracture	fracture	NOUN
alkej-905	453	25	and	and	CCONJ
alkej-905	453	26	the	the	DET
alkej-905	453	27	number	number	NOUN
alkej-905	453	28	...	...	PUNCT
alkej-905	454	1			PRON
alkej-905	454	2	it	it	PRON
alkej-905	454	3	was	be	AUX
alkej-905	454	4	shown	show	VERB
alkej-905	454	5	from	from	ADP
alkej-905	454	6	the	the	DET
alkej-905	454	7	procedures	procedure	NOUN
alkej-905	454	8	of	of	ADP
alkej-905	454	9	studying	study	VERB
alkej-905	454	10	experimental	experimental	ADJ
alkej-905	454	11	fatigue	fatigue	NOUN
alkej-905	454	12	test	test	NOUN
alkej-905	454	13	methods	method	NOUN
alkej-905	454	14	for	for	ADP
alkej-905	454	15	cyclic	cyclic	ADJ
alkej-905	454	16	loads	load	NOUN
alkej-905	454	17	on	on	ADP
alkej-905	454	18	materials	material	NOUN
alkej-905	454	19	that	that	SCONJ
alkej-905	454	20	the	the	DET
alkej-905	454	21	initiation	initiation	NOUN
alkej-905	454	22	of	of	ADP
alkej-905	454	23	crack	crack	NOUN
alkej-905	454	24	for	for	ADP
alkej-905	454	25	sample	sample	NOUN
alkej-905	454	26	6061	6061	NUM
alkej-905	454	27	was	be	AUX
alkej-905	454	28	larger	large	ADJ
alkej-905	454	29	than	than	ADP
alkej-905	454	30	that	that	PRON
alkej-905	454	31	for	for	ADP
alkej-905	454	32	sample	sample	NOUN
alkej-905	454	33	5052	5052	NUM
alkej-905	454	34	by	by	ADP
alkej-905	454	35	a	a	DET
alkej-905	454	36	percentage	percentage	NOUN
alkej-905	454	37	equal	equal	ADJ
alkej-905	454	38	to	to	ADP
alkej-905	454	39	60	60	NUM
alkej-905	454	40	%	%	NOUN
alkej-905	454	41	.	.	PUNCT
alkej-905	455	1			X
alkej-905	456	1	the	the	DET
alkej-905	456	2	experimental	experimental	ADJ
alkej-905	456	3	work	work	NOUN
alkej-905	456	4	shows	show	VERB
alkej-905	456	5	the	the	DET
alkej-905	456	6	rate	rate	NOUN
alkej-905	456	7	of	of	ADP
alkej-905	456	8	crack	crack	NOUN
alkej-905	456	9	growth	growth	NOUN
alkej-905	456	10	in	in	ADP
alkej-905	456	11	sample	sample	NOUN
alkej-905	456	12	6061	6061	NUM
alkej-905	456	13	aa	aa	NOUN
alkej-905	456	14	was	be	AUX
alkej-905	456	15	lower	low	ADJ
alkej-905	456	16	than	than	ADP
alkej-905	456	17	the	the	DET
alkej-905	456	18	rate	rate	NOUN
alkej-905	456	19	of	of	ADP
alkej-905	456	20	crack	crack	NOUN
alkej-905	456	21	growth	growth	NOUN
alkej-905	456	22	in	in	ADP
alkej-905	456	23	sample	sample	NOUN
alkej-905	456	24	5052	5052	NUM
alkej-905	456	25	aa	aa	NOUN
alkej-905	456	26	.	.	PUNCT
alkej-905	457	1	this	this	DET
alkej-905	457	2	finding	finding	NOUN
alkej-905	457	3	implies	imply	VERB
alkej-905	457	4	that	that	SCONJ
alkej-905	457	5	sample	sample	NOUN
alkej-905	457	6	6061	6061	NUM
alkej-905	457	7	requires	require	VERB
alkej-905	457	8	more	more	ADJ
alkej-905	457	9	time	time	NOUN
alkej-905	457	10	than	than	ADP
alkej-905	457	11	sample	sample	NOUN
alkej-905	457	12	5052	5052	NUM
alkej-905	457	13	to	to	PART
alkej-905	457	14	reach	reach	VERB
alkej-905	457	15	the	the	DET
alkej-905	457	16	failure	failure	NOUN
alkej-905	457	17	stage	stage	NOUN
alkej-905	457	18	,	,	PUNCT
alkej-905	457	19	also	also	ADV
alkej-905	457	20	known	know	VERB
alkej-905	457	21	as	as	ADP
alkej-905	457	22	mec	mec	PROPN
alkej-905	457	23	...	...	PUNCT
alkej-905	457	24			NOUN
alkej-905	457	25	based	base	VERB
alkej-905	457	26	on	on	ADP
alkej-905	457	27	the	the	DET
alkej-905	457	28	composition	composition	NOUN
alkej-905	457	29	of	of	ADP
alkej-905	457	30	the	the	DET
alkej-905	457	31	chemical	chemical	NOUN
alkej-905	457	32	properties	property	NOUN
alkej-905	457	33	of	of	ADP
alkej-905	457	34	the	the	DET
alkej-905	457	35	samples	sample	NOUN
alkej-905	457	36	and	and	CCONJ
alkej-905	457	37	the	the	DET
alkej-905	457	38	rate	rate	NOUN
alkej-905	457	39	of	of	ADP
alkej-905	457	40	crack	crack	NOUN
alkej-905	457	41	growth	growth	NOUN
alkej-905	457	42	,	,	PUNCT
alkej-905	457	43	it	it	PRON
alkej-905	457	44	can	can	AUX
alkej-905	457	45	be	be	AUX
alkej-905	457	46	inferred	infer	VERB
alkej-905	457	47	that	that	SCONJ
alkej-905	457	48	the	the	DET
alkej-905	457	49	samples	sample	NOUN
alkej-905	457	50	within	within	ADP
alkej-905	457	51	aluminium	aluminium	NOUN
alkej-905	457	52	alloy	alloy	NOUN
alkej-905	457	53	6061	6061	NUM
alkej-905	457	54	are	be	AUX
alkej-905	457	55	ductile	ductile	NOUN
alkej-905	457	56	material	material	NOUN
alkej-905	457	57	alloys	alloy	NOUN
alkej-905	457	58	with	with	ADP
alkej-905	457	59	relatively	relatively	ADV
alkej-905	457	60	small	small	ADJ
alkej-905	457	61	grain	grain	NOUN
alkej-905	457	62	size	size	NOUN
alkej-905	457	63	.	.	PUNCT
alkej-905	458	1	this	this	DET
alkej-905	458	2	characteristic	characteristic	ADJ
alkej-905	458	3	explai	explai	NOUN
alkej-905	458	4	...	...	PUNCT
alkej-905	458	5			NOUN
alkej-905	459	1	in	in	ADP
alkej-905	459	2	contrast	contrast	NOUN
alkej-905	459	3	to	to	ADP
alkej-905	459	4	sample	sample	NOUN
alkej-905	459	5	5052	5052	NUM
alkej-905	459	6	,	,	PUNCT
alkej-905	459	7	which	which	PRON
alkej-905	459	8	is	be	AUX
alkej-905	459	9	defined	define	VERB
alkej-905	459	10	by	by	ADP
alkej-905	459	11	big	big	ADJ
alkej-905	459	12	grains	grain	NOUN
alkej-905	459	13	,	,	PUNCT
alkej-905	459	14	the	the	DET
alkej-905	459	15	speed	speed	NOUN
alkej-905	459	16	of	of	ADP
alkej-905	459	17	spread	spread	NOUN
alkej-905	459	18	of	of	ADP
alkej-905	459	19	the	the	DET
alkej-905	459	20	crack	crack	NOUN
alkej-905	459	21	and	and	CCONJ
alkej-905	459	22	the	the	DET
alkej-905	459	23	great	great	ADJ
alkej-905	459	24	distance	distance	NOUN
alkej-905	459	25	to	to	ADP
alkej-905	459	26	the	the	DET
alkej-905	459	27	crack	crack	NOUN
alkej-905	459	28	that	that	PRON
alkej-905	459	29	grew	grow	VERB
alkej-905	459	30	,	,	PUNCT
alkej-905	459	31	this	this	DET
alkej-905	459	32	sample	sample	NOUN
alkej-905	459	33	is	be	AUX
alkej-905	459	34	distinguished	distinguish	VERB
alkej-905	459	35	by	by	ADP
alkej-905	459	36	the	the	DET
alkej-905	459	37	type	type	NOUN
alkej-905	459	38	and	and	CCONJ
alkej-905	459	39	shape	shape	NOUN
alkej-905	459	40	of	of	ADP
alkej-905	459	41	the	the	DET
alkej-905	459	42	crack	crack	NOUN
alkej-905	459	43	that	that	PRON
alkej-905	459	44	formed	form	VERB
alkej-905	459	45	within	within	ADP
alkej-905	459	46	it	it	PRON
alkej-905	459	47	,	,	PUNCT
alkej-905	459	48	which	which	PRON
alkej-905	459	49	is	be	AUX
alkej-905	459	50	specified	specify	VERB
alkej-905	459	51	as	as	ADP
alkej-905	459	52	...	...	PUNCT
alkej-905	459	53			NOUN
alkej-905	459	54	some	some	DET
alkej-905	459	55	influencing	influence	VERB
alkej-905	459	56	variables	variable	NOUN
alkej-905	459	57	,	,	PUNCT
alkej-905	459	58	in	in	ADP
alkej-905	459	59	addition	addition	NOUN
alkej-905	459	60	to	to	ADP
alkej-905	459	61	the	the	DET
alkej-905	459	62	basic	basic	ADJ
alkej-905	459	63	nature	nature	NOUN
alkej-905	459	64	of	of	ADP
alkej-905	459	65	the	the	DET
alkej-905	459	66	alloy	alloy	NOUN
alkej-905	459	67	’s	’s	PART
alkej-905	459	68	elemental	elemental	ADJ
alkej-905	459	69	makeup	makeup	NOUN
alkej-905	459	70	,	,	PUNCT
alkej-905	459	71	are	be	AUX
alkej-905	459	72	responsible	responsible	ADJ
alkej-905	459	73	for	for	ADP
alkej-905	459	74	the	the	DET
alkej-905	459	75	difference	difference	NOUN
alkej-905	459	76	that	that	PRON
alkej-905	459	77	may	may	AUX
alkej-905	459	78	be	be	AUX
alkej-905	459	79	observed	observe	VERB
alkej-905	459	80	between	between	ADP
alkej-905	459	81	the	the	DET
alkej-905	459	82	experimental	experimental	ADJ
alkej-905	459	83	and	and	CCONJ
alkej-905	459	84	theoretical	theoretical	ADJ
alkej-905	459	85	results	result	NOUN
alkej-905	459	86	at	at	ADP
alkej-905	459	87	the	the	DET
alkej-905	459	88	end	end	NOUN
alkej-905	459	89	of	of	ADP
alkej-905	459	90	the	the	DET
alkej-905	459	91	crack	crack	NOUN
alkej-905	459	92	formation	formation	NOUN
alkej-905	459	93	process	process	NOUN
alkej-905	459	94	.	.	PUNCT
alkej-905	460	1			X
alkej-905	460	2	a	a	DET
alkej-905	460	3	comparison	comparison	NOUN
alkej-905	460	4	of	of	ADP
alkej-905	460	5	the	the	DET
alkej-905	460	6	analytical	analytical	ADJ
alkej-905	460	7	findings	finding	NOUN
alkej-905	460	8	for	for	ADP
alkej-905	460	9	alloy	alloy	NOUN
alkej-905	460	10	5052	5052	NUM
alkej-905	460	11	with	with	ADP
alkej-905	460	12	the	the	DET
alkej-905	460	13	experimental	experimental	ADJ
alkej-905	460	14	result	result	NOUN
alkej-905	460	15	indicated	indicate	VERB
alkej-905	460	16	the	the	DET
alkej-905	460	17	analytical	analytical	ADJ
alkej-905	460	18	model	model	NOUN
alkej-905	460	19	with	with	ADP
alkej-905	460	20	the	the	DET
alkej-905	460	21	error	error	NOUN
alkej-905	460	22	rate	rate	NOUN
alkej-905	460	23	in	in	ADP
alkej-905	460	24	crack	crack	NOUN
alkej-905	460	25	growth	growth	NOUN
alkej-905	460	26	rate	rate	NOUN
alkej-905	460	27	is	be	AUX
alkej-905	460	28	5.23	5.23	NUM
alkej-905	460	29	%	%	NOUN
alkej-905	460	30	.	.	PUNCT
alkej-905	461	1	the	the	DET
alkej-905	461	2	percentage	percentage	NOUN
alkej-905	461	3	of	of	ADP
alkej-905	461	4	error	error	NOUN
alkej-905	461	5	for	for	ADP
alkej-905	461	6	alloy	alloy	NOUN
alkej-905	461	7	6061	6061	NUM
alkej-905	461	8	is	be	AUX
alkej-905	461	9	17.5	17.5	NUM
alkej-905	461	10	%	%	NOUN
alkej-905	461	11	,	,	PUNCT
alkej-905	461	12	which	which	PRON
alkej-905	461	13	is	be	AUX
alkej-905	461	14	a	a	DET
alkej-905	461	15	good	good	ADJ
alkej-905	461	16	estimate	estimate	NOUN
alkej-905	461	17	for	for	ADP
alkej-905	461	18	estim	estim	ADJ
alkej-905	461	19	...	...	PUNCT
alkej-905	461	20			NOUN
alkej-905	461	21	the	the	DET
alkej-905	461	22	c	c	PROPN
alkej-905	461	23	and	and	CCONJ
alkej-905	461	24	m	m	PROPN
alkej-905	461	25	values	value	NOUN
alkej-905	461	26	found	find	VERB
alkej-905	461	27	for	for	ADP
alkej-905	461	28	the	the	DET
alkej-905	461	29	paris	paris	PROPN
alkej-905	461	30	relation	relation	NOUN
alkej-905	461	31	crack	crack	VERB
alkej-905	461	32	propagation	propagation	NOUN
alkej-905	461	33	through	through	ADP
alkej-905	461	34	the	the	DET
alkej-905	461	35	application	application	NOUN
alkej-905	461	36	of	of	ADP
alkej-905	461	37	the	the	DET
alkej-905	461	38	logarithmic	logarithmic	ADJ
alkej-905	461	39	diagram	diagram	NOUN
alkej-905	461	40	are	be	AUX
alkej-905	461	41	at	at	ADP
alkej-905	461	42	acceptable	acceptable	ADJ
alkej-905	461	43	levels	level	NOUN
alkej-905	461	44	within	within	ADP
alkej-905	461	45	the	the	DET
alkej-905	461	46	ranges	range	NOUN
alkej-905	461	47	that	that	SCONJ
alkej-905	461	48	aluminium	aluminium	NOUN
alkej-905	461	49	alloys	alloy	NOUN
alkej-905	461	50	have	have	AUX
alkej-905	461	51	defined	define	VERB
alkej-905	461	52	for	for	ADP
alkej-905	461	53	themselves	themselves	PRON
alkej-905	461	54	.	.	PUNCT
alkej-905	462	1	nomenclature	nomenclature	NOUN
alkej-905	462	2	and	and	CCONJ
alkej-905	462	3	units	unit	NOUN
alkej-905	462	4	declaration	declaration	NOUN
alkej-905	462	5	of	of	ADP
alkej-905	462	6	interest	interest	NOUN
alkej-905	462	7	the	the	DET
alkej-905	462	8	authors	author	NOUN
alkej-905	462	9	declare	declare	VERB
alkej-905	462	10	that	that	SCONJ
alkej-905	462	11	they	they	PRON
alkej-905	462	12	have	have	VERB
alkej-905	462	13	no	no	DET
alkej-905	462	14	conflicts	conflict	NOUN
alkej-905	462	15	of	of	ADP
alkej-905	462	16	interest	interest	NOUN
alkej-905	462	17	financial	financial	ADJ
alkej-905	462	18	or	or	CCONJ
alkej-905	462	19	personal	personal	ADJ
alkej-905	462	20	relationships	relationship	NOUN
alkej-905	462	21	with	with	ADP
alkej-905	462	22	other	other	ADJ
alkej-905	462	23	persons	person	NOUN
alkej-905	462	24	or	or	CCONJ
alkej-905	462	25	organisations	organisation	NOUN
alkej-905	462	26	that	that	PRON
alkej-905	462	27	could	could	AUX
alkej-905	462	28	improperly	improperly	ADV
alkej-905	462	29	influence	influence	VERB
alkej-905	462	30	their	their	PRON
alkej-905	462	31	work	work	NOUN
alkej-905	462	32	in	in	ADP
alkej-905	462	33	connection	connection	NOUN
alkej-905	462	34	with	with	ADP
alkej-905	462	35	the	the	DET
alkej-905	462	36	publication	publication	NOUN
alkej-905	462	37	of	of	ADP
alkej-905	462	38	this	this	DET
alkej-905	462	39	article	article	NOUN
alkej-905	462	40	.	.	PUNCT
alkej-905	463	1	submission	submission	NOUN
alkej-905	463	2	declaration	declaration	NOUN
alkej-905	463	3	the	the	DET
alkej-905	463	4	authors	author	NOUN
alkej-905	463	5	declare	declare	VERB
alkej-905	463	6	that	that	SCONJ
alkej-905	463	7	the	the	DET
alkej-905	463	8	work	work	NOUN
alkej-905	463	9	described	describe	VERB
alkej-905	463	10	has	have	AUX
alkej-905	463	11	not	not	PART
alkej-905	463	12	been	be	AUX
alkej-905	463	13	previously	previously	ADV
alkej-905	463	14	published	publish	VERB
alkej-905	463	15	,	,	PUNCT
alkej-905	463	16	that	that	SCONJ
alkej-905	463	17	it	it	PRON
alkej-905	463	18	is	be	AUX
alkej-905	463	19	not	not	PART
alkej-905	463	20	under	under	ADP
alkej-905	463	21	consideration	consideration	NOUN
alkej-905	463	22	for	for	ADP
alkej-905	463	23	publication	publication	NOUN
alkej-905	463	24	elsewhere	elsewhere	ADV
alkej-905	463	25	,	,	PUNCT
alkej-905	463	26	and	and	CCONJ
alkej-905	463	27	that	that	SCONJ
alkej-905	463	28	all	all	DET
alkej-905	463	29	authors	author	NOUN
alkej-905	463	30	have	have	AUX
alkej-905	463	31	approved	approve	VERB
alkej-905	463	32	its	its	PRON
alkej-905	463	33	publication	publication	NOUN
alkej-905	463	34	in	in	ADP
alkej-905	463	35	connection	connection	NOUN
alkej-905	463	36	with	with	ADP
alkej-905	463	37	the	the	DET
alkej-905	463	38	publication	publication	NOUN
alkej-905	463	39	of	of	ADP
alkej-905	463	40	this	this	DET
alkej-905	463	41	article	article	NOUN
alkej-905	463	42	.	.	PUNCT
alkej-905	464	1	acknowledgement	acknowledgement	NOUN
alkej-905	464	2	we	we	PRON
alkej-905	464	3	thank	thank	VERB
alkej-905	464	4	everyone	everyone	PRON
alkej-905	464	5	who	who	PRON
alkej-905	464	6	have	have	AUX
alkej-905	464	7	helped	help	VERB
alkej-905	464	8	publish	publish	VERB
alkej-905	464	9	this	this	DET
alkej-905	464	10	study	study	NOUN
alkej-905	464	11	.	.	PUNCT
alkej-905	465	1	we	we	PRON
alkej-905	465	2	also	also	ADV
alkej-905	465	3	thank	thank	VERB
alkej-905	465	4	the	the	DET
alkej-905	465	5	mechanical	mechanical	ADJ
alkej-905	465	6	department	department	NOUN
alkej-905	465	7	at	at	ADP
alkej-905	465	8	baghdad	baghdad	PROPN
alkej-905	465	9	university	university	PROPN
alkej-905	465	10	for	for	ADP
alkej-905	465	11	providing	provide	VERB
alkej-905	465	12	us	we	PRON
alkej-905	465	13	with	with	ADP
alkej-905	465	14	the	the	DET
alkej-905	465	15	resources	resource	NOUN
alkej-905	465	16	and	and	CCONJ
alkej-905	465	17	assistance	assistance	NOUN
alkej-905	465	18	to	to	PART
alkej-905	465	19	finish	finish	VERB
alkej-905	465	20	this	this	DET
alkej-905	465	21	project	project	NOUN
alkej-905	465	22	.	.	PUNCT
alkej-905	466	1	finally	finally	ADV
alkej-905	466	2	,	,	PUNCT
alkej-905	466	3	we	we	PRON
alkej-905	466	4	appreciate	appreciate	VERB
alkej-905	466	5	all	all	DET
alkej-905	466	6	research	research	NOUN
alkej-905	466	7	participants	participant	NOUN
alkej-905	466	8	’	'	PUNCT
alkej-905	466	9	time	time	NOUN
alkej-905	466	10	and	and	CCONJ
alkej-905	466	11	w	w	PROPN
alkej-905	466	12	...	...	PUNCT
alkej-905	466	13	funding	funding	NOUN
alkej-905	466	14	sources	source	NOUN
alkej-905	466	15	this	this	DET
alkej-905	466	16	research	research	NOUN
alkej-905	466	17	did	do	AUX
alkej-905	466	18	not	not	PART
alkej-905	466	19	receive	receive	VERB
alkej-905	466	20	any	any	DET
alkej-905	466	21	specific	specific	ADJ
alkej-905	466	22	grant	grant	NOUN
alkej-905	466	23	from	from	ADP
alkej-905	466	24	funding	fund	VERB
alkej-905	466	25	agencies	agency	NOUN
alkej-905	466	26	in	in	ADP
alkej-905	466	27	the	the	DET
alkej-905	466	28	public	public	ADJ
alkej-905	466	29	,	,	PUNCT
alkej-905	466	30	commercial	commercial	ADJ
alkej-905	466	31	,	,	PUNCT
alkej-905	466	32	or	or	CCONJ
alkej-905	466	33	not	not	PART
alkej-905	466	34	-	-	PUNCT
alkej-905	466	35	for	for	ADP
alkej-905	466	36	-	-	PUNCT
alkej-905	466	37	profit	profit	NOUN
alkej-905	466	38	sectors	sector	NOUN
alkej-905	466	39	.	.	PUNCT
alkej-905	467	1	references	reference	NOUN
alkej-905	467	2	[	[	X
alkej-905	467	3	1	1	NUM
alkej-905	467	4	]	]	PUNCT
alkej-905	467	5	p.	p.	PROPN
alkej-905	467	6	zhang	zhang	PROPN
alkej-905	467	7	,	,	PUNCT
alkej-905	467	8	j.	j.	PROPN
alkej-905	467	9	li	li	PROPN
alkej-905	467	10	,	,	PUNCT
alkej-905	467	11	y.	y.	PROPN
alkej-905	467	12	zhao	zhao	PROPN
alkej-905	467	13	,	,	PUNCT
alkej-905	467	14	and	and	CCONJ
alkej-905	467	15	j.	j.	PROPN
alkej-905	467	16	li	li	PROPN
alkej-905	467	17	,	,	PUNCT
alkej-905	467	18	“	"	PUNCT
alkej-905	467	19	crack	crack	VERB
alkej-905	467	20	propagation	propagation	NOUN
alkej-905	467	21	analysis	analysis	NOUN
alkej-905	467	22	and	and	CCONJ
alkej-905	467	23	fatigue	fatigue	NOUN
alkej-905	467	24	life	life	NOUN
alkej-905	467	25	assessment	assessment	NOUN
alkej-905	467	26	of	of	ADP
alkej-905	467	27	high	high	ADJ
alkej-905	467	28	-	-	PUNCT
alkej-905	467	29	strength	strength	NOUN
alkej-905	467	30	bolts	bolt	NOUN
alkej-905	467	31	based	base	VERB
alkej-905	467	32	on	on	ADP
alkej-905	467	33	fracture	fracture	PROPN
alkej-905	467	34	mechanics	mechanic	NOUN
alkej-905	467	35	.	.	PUNCT
alkej-905	468	1	,	,	PUNCT
alkej-905	468	2	”	"	PUNCT
alkej-905	468	3	sci	sci	PROPN
alkej-905	468	4	.	.	PUNCT
alkej-905	468	5	rep	rep	PROPN
alkej-905	468	6	.	.	PROPN
alkej-905	468	7	,	,	PUNCT
alkej-905	468	8	vol	vol	NOUN
alkej-905	468	9	.	.	PROPN
alkej-905	468	10	13	13	NUM
alkej-905	468	11	,	,	PUNCT
alkej-905	468	12	no	no	INTJ
alkej-905	468	13	.	.	NOUN
alkej-905	468	14	1	1	NUM
alkej-905	468	15	,	,	PUNCT
alkej-905	468	16	p.	p.	NOUN
alkej-905	468	17	14567	14567	NUM
alkej-905	468	18	,	,	PUNCT
alkej-905	468	19	sep	sep	PROPN
alkej-905	468	20	.	.	PROPN
alkej-905	468	21	2023	2023	NUM
alkej-905	468	22	,	,	PUNCT
alkej-905	468	23	doi	doi	NOUN
alkej-905	468	24	:	:	PUNCT
alkej-905	468	25	10.1038	10.1038	NUM
alkej-905	468	26	/	/	SYM
alkej-905	468	27	s41598	s41598	NOUN
alkej-905	468	28	-	-	PUNCT
alkej-905	468	29	023	023	NUM
alkej-905	468	30	-	-	PUNCT
alkej-905	468	31	41804	41804	NUM
alkej-905	468	32	-	-	PUNCT
alkej-905	468	33	z.	z.	NOUN
alkej-905	469	1	[	[	X
alkej-905	469	2	2	2	NUM
alkej-905	469	3	]	]	PUNCT
alkej-905	469	4	a.	a.	PROPN
alkej-905	469	5	al	al	PROPN
alkej-905	469	6	-	-	PUNCT
alkej-905	469	7	mukhtar	mukhtar	PROPN
alkej-905	469	8	,	,	PUNCT
alkej-905	469	9	“	"	PUNCT
alkej-905	469	10	mixed	mixed	ADJ
alkej-905	469	11	-	-	PUNCT
alkej-905	469	12	mode	mode	NOUN
alkej-905	469	13	crack	crack	NOUN
alkej-905	469	14	propagation	propagation	NOUN
alkej-905	469	15	in	in	ADP
alkej-905	469	16	cruciform	cruciform	PROPN
alkej-905	469	17	joint	joint	ADJ
alkej-905	469	18	using	use	VERB
alkej-905	469	19	franc2d	franc2d	NOUN
alkej-905	469	20	,	,	PUNCT
alkej-905	469	21	”	"	PUNCT
alkej-905	469	22	j.	j.	PROPN
alkej-905	469	23	fail	fail	PROPN
alkej-905	469	24	.	.	PUNCT
alkej-905	470	1	anal	anal	PROPN
alkej-905	470	2	.	.	PUNCT
alkej-905	471	1	prev	prev	PROPN
alkej-905	471	2	.	.	PROPN
alkej-905	471	3	,	,	PUNCT
alkej-905	471	4	vol	vol	NOUN
alkej-905	471	5	.	.	PROPN
alkej-905	471	6	16	16	NUM
alkej-905	471	7	,	,	PUNCT
alkej-905	471	8	apr	apr	PROPN
alkej-905	471	9	.	.	PROPN
alkej-905	471	10	2016	2016	NUM
alkej-905	471	11	,	,	PUNCT
alkej-905	471	12	doi	doi	NOUN
alkej-905	471	13	:	:	PUNCT
alkej-905	471	14	10.1007	10.1007	NUM
alkej-905	471	15	/	/	SYM
alkej-905	471	16	s11668	s11668	NOUN
alkej-905	471	17	-	-	PUNCT
alkej-905	471	18	016	016	NUM
alkej-905	471	19	-	-	PUNCT
alkej-905	471	20	0094	0094	NUM
alkej-905	471	21	-	-	SYM
alkej-905	471	22	1	1	NUM
alkej-905	471	23	.	.	PUNCT
alkej-905	472	1	[	[	X
alkej-905	472	2	3	3	X
alkej-905	472	3	]	]	X
alkej-905	472	4	d.	d.	PROPN
alkej-905	472	5	rozumek	rozumek	PROPN
alkej-905	472	6	and	and	CCONJ
alkej-905	472	7	e.	e.	PROPN
alkej-905	472	8	macha	macha	PROPN
alkej-905	472	9	,	,	PUNCT
alkej-905	472	10	“	"	PUNCT
alkej-905	472	11	a	a	DET
alkej-905	472	12	survey	survey	NOUN
alkej-905	472	13	of	of	ADP
alkej-905	472	14	failure	failure	NOUN
alkej-905	472	15	criteria	criterion	NOUN
alkej-905	472	16	and	and	CCONJ
alkej-905	472	17	parameters	parameter	NOUN
alkej-905	472	18	in	in	ADP
alkej-905	472	19	mixed	mixed	ADJ
alkej-905	472	20	-	-	PUNCT
alkej-905	472	21	mode	mode	NOUN
alkej-905	472	22	fatigue	fatigue	NOUN
alkej-905	472	23	crack	crack	NOUN
alkej-905	472	24	growth	growth	NOUN
alkej-905	472	25	,	,	PUNCT
alkej-905	472	26	”	"	PUNCT
alkej-905	472	27	mater	mater	NOUN
alkej-905	472	28	.	.	PUNCT
alkej-905	473	1	sci	sci	PROPN
alkej-905	473	2	.	.	PROPN
alkej-905	473	3	,	,	PUNCT
alkej-905	473	4	vol	vol	NOUN
alkej-905	473	5	.	.	PROPN
alkej-905	474	1	45	45	NUM
alkej-905	474	2	,	,	PUNCT
alkej-905	474	3	no	no	INTJ
alkej-905	474	4	.	.	NOUN
alkej-905	474	5	2	2	NUM
alkej-905	474	6	,	,	PUNCT
alkej-905	474	7	p.	p.	NOUN
alkej-905	474	8	190	190	NUM
alkej-905	474	9	,	,	PUNCT
alkej-905	474	10	2009	2009	NUM
alkej-905	474	11	,	,	PUNCT
alkej-905	474	12	doi	doi	NOUN
alkej-905	474	13	:	:	PUNCT
alkej-905	474	14	10.1007	10.1007	NUM
alkej-905	474	15	/	/	SYM
alkej-905	474	16	s11003	s11003	NOUN
alkej-905	474	17	-	-	PUNCT
alkej-905	474	18	009	009	NUM
alkej-905	474	19	-	-	PUNCT
alkej-905	474	20	9179	9179	NUM
alkej-905	474	21	-	-	SYM
alkej-905	474	22	2	2	NUM
alkej-905	474	23	.	.	PUNCT
alkej-905	475	1	[	[	X
alkej-905	475	2	4	4	NUM
alkej-905	475	3	]	]	PUNCT
alkej-905	475	4	a.	a.	PROPN
alkej-905	475	5	d.	d.	PROPN
alkej-905	475	6	assi	assi	PROPN
alkej-905	475	7	,	,	PUNCT
alkej-905	475	8	“	"	PUNCT
alkej-905	475	9	influence	influence	NOUN
alkej-905	475	10	of	of	ADP
alkej-905	475	11	al2o3	al2o3	PROPN
alkej-905	475	12	nanoparticles	nanoparticle	NOUN
alkej-905	475	13	addition	addition	NOUN
alkej-905	475	14	to	to	ADP
alkej-905	475	15	aa6082	aa6082	PROPN
alkej-905	475	16	-	-	PUNCT
alkej-905	475	17	t6	t6	PROPN
alkej-905	475	18	on	on	ADP
alkej-905	475	19	mechanical	mechanical	ADJ
alkej-905	475	20	properties	property	NOUN
alkej-905	475	21	by	by	ADP
alkej-905	475	22	stir	stir	VERB
alkej-905	475	23	casting	cast	VERB
alkej-905	475	24	technique	technique	NOUN
alkej-905	475	25	,	,	PUNCT
alkej-905	475	26	”	"	PUNCT
alkej-905	475	27	iop	iop	NOUN
alkej-905	475	28	conf	conf	NOUN
alkej-905	475	29	.	.	PUNCT
alkej-905	476	1	ser	ser	PROPN
alkej-905	476	2	.	.	PUNCT
alkej-905	477	1	mater	mater	PROPN
alkej-905	477	2	.	.	PUNCT
alkej-905	478	1	sci	sci	PROPN
alkej-905	478	2	.	.	PUNCT
alkej-905	479	1	eng	eng	PROPN
alkej-905	479	2	.	.	PROPN
alkej-905	479	3	,	,	PUNCT
alkej-905	479	4	vol	vol	NOUN
alkej-905	479	5	.	.	PROPN
alkej-905	479	6	881	881	NUM
alkej-905	479	7	,	,	PUNCT
alkej-905	479	8	no	no	INTJ
alkej-905	479	9	.	.	NOUN
alkej-905	479	10	1	1	NUM
alkej-905	479	11	,	,	PUNCT
alkej-905	479	12	p.	p.	NOUN
alkej-905	479	13	12081	12081	NUM
alkej-905	479	14	,	,	PUNCT
alkej-905	479	15	2020	2020	NUM
alkej-905	479	16	,	,	PUNCT
alkej-905	479	17	doi	doi	NOUN
alkej-905	479	18	:	:	PUNCT
alkej-905	479	19	10.1088/1757	10.1088/1757	NOUN
alkej-905	479	20	-	-	NOUN
alkej-905	479	21	899x/881/1/012081	899x/881/1/012081	NUM
alkej-905	479	22	.	.	PUNCT
alkej-905	480	1	[	[	X
alkej-905	480	2	5	5	X
alkej-905	480	3	]	]	PUNCT
alkej-905	480	4	f.	f.	PROPN
alkej-905	480	5	alshamma	alshamma	PROPN
alkej-905	480	6	and	and	CCONJ
alkej-905	480	7	o.	o.	PROPN
alkej-905	480	8	jassim	jassim	PROPN
alkej-905	480	9	,	,	PUNCT
alkej-905	480	10	“	"	PUNCT
alkej-905	480	11	dynamic	dynamic	ADJ
alkej-905	480	12	crack	crack	NOUN
alkej-905	480	13	propagation	propagation	NOUN
alkej-905	480	14	in	in	ADP
alkej-905	480	15	nano	nano	NOUN
alkej-905	480	16	-	-	PUNCT
alkej-905	480	17	composite	composite	ADJ
alkej-905	480	18	thin	thin	ADJ
alkej-905	480	19	plates	plate	NOUN
alkej-905	480	20	under	under	ADP
alkej-905	480	21	multi	multi	ADJ
alkej-905	480	22	-	-	ADJ
alkej-905	480	23	axial	axial	ADJ
alkej-905	480	24	cyclic	cyclic	ADJ
alkej-905	480	25	loading	loading	NOUN
alkej-905	480	26	,	,	PUNCT
alkej-905	480	27	”	"	PUNCT
alkej-905	480	28	j.	j.	PROPN
alkej-905	480	29	mater	mater	PROPN
alkej-905	480	30	.	.	PUNCT
alkej-905	481	1	res	re	NOUN
alkej-905	481	2	.	.	PUNCT
alkej-905	482	1	technol	technol	PROPN
alkej-905	482	2	.	.	PROPN
alkej-905	482	3	,	,	PUNCT
alkej-905	482	4	vol	vol	NOUN
alkej-905	482	5	.	.	PROPN
alkej-905	482	6	8	8	NUM
alkej-905	482	7	,	,	PUNCT
alkej-905	482	8	aug	aug	PROPN
alkej-905	482	9	.	.	PROPN
alkej-905	482	10	2019	2019	NUM
alkej-905	482	11	,	,	PUNCT
alkej-905	482	12	doi	doi	NOUN
alkej-905	482	13	:	:	PUNCT
alkej-905	482	14	10.1016	10.1016	NUM
alkej-905	482	15	/	/	SYM
alkej-905	482	16	j.jmrt.2019.08.011	j.jmrt.2019.08.011	PROPN
alkej-905	482	17	.	.	PUNCT
alkej-905	483	1	[	[	X
alkej-905	483	2	6	6	NUM
alkej-905	483	3	]	]	PUNCT
alkej-905	483	4	b.	b.	NOUN
alkej-905	483	5	bachy	bachy	PROPN
alkej-905	483	6	,	,	PUNCT
alkej-905	483	7	“	"	PUNCT
alkej-905	483	8	mathematical	mathematical	ADJ
alkej-905	483	9	model	model	NOUN
alkej-905	483	10	to	to	PART
alkej-905	483	11	investigate	investigate	VERB
alkej-905	483	12	the	the	DET
alkej-905	483	13	temperature	temperature	NOUN
alkej-905	483	14	and	and	CCONJ
alkej-905	483	15	hardness	hardness	NOUN
alkej-905	483	16	distributions	distribution	NOUN
alkej-905	483	17	during	during	ADP
alkej-905	483	18	the	the	DET
alkej-905	483	19	annealing	annealing	NOUN
alkej-905	483	20	and	and	CCONJ
alkej-905	483	21	normalising	normalise	VERB
alkej-905	483	22	treatment	treatment	NOUN
alkej-905	483	23	,	,	PUNCT
alkej-905	483	24	”	"	PUNCT
alkej-905	483	25	intell	intell	PROPN
alkej-905	483	26	.	.	PUNCT
alkej-905	484	1	transp	transp	PROPN
alkej-905	484	2	.	.	PUNCT
alkej-905	485	1	syst	syst	PROPN
alkej-905	485	2	.	.	PUNCT
alkej-905	486	1	j.	j.	PROPN
alkej-905	486	2	,	,	PUNCT
alkej-905	486	3	vol	vol	NOUN
alkej-905	486	4	.	.	PROPN
alkej-905	486	5	16	16	NUM
alkej-905	486	6	,	,	PUNCT
alkej-905	486	7	pp	pp	ADJ
alkej-905	486	8	.	.	PUNCT
alkej-905	487	1	5683–5698	5683–5698	NUM
alkej-905	487	2	,	,	PUNCT
alkej-905	487	3	jan	jan	PROPN
alkej-905	487	4	.	.	PROPN
alkej-905	487	5	2010	2010	NUM
alkej-905	487	6	.	.	PUNCT
alkej-905	488	1	[	[	X
alkej-905	488	2	7	7	X
alkej-905	488	3	]	]	PUNCT
alkej-905	488	4	a.	a.	NOUN
alkej-905	488	5	a.	a.	NOUN
alkej-905	488	6	asaad	asaad	PROPN
alkej-905	488	7	and	and	CCONJ
alkej-905	488	8	m.	m.	NOUN
alkej-905	488	9	a.	a.	PROPN
alkej-905	488	10	mussa	mussa	PROPN
alkej-905	488	11	,	,	PUNCT
alkej-905	488	12	“	"	PUNCT
alkej-905	488	13	an	an	DET
alkej-905	488	14	experimental	experimental	ADJ
alkej-905	488	15	and	and	CCONJ
alkej-905	488	16	numerical	numerical	ADJ
alkej-905	488	17	investigation	investigation	NOUN
alkej-905	488	18	of	of	ADP
alkej-905	488	19	heat	heat	NOUN
alkej-905	488	20	transfer	transfer	NOUN
alkej-905	488	21	effect	effect	NOUN
alkej-905	488	22	on	on	ADP
alkej-905	488	23	cyclic	cyclic	ADJ
alkej-905	488	24	fatigue	fatigue	NOUN
alkej-905	488	25	of	of	ADP
alkej-905	488	26	gas	gas	NOUN
alkej-905	488	27	turbine	turbine	NOUN
alkej-905	488	28	blade	blade	NOUN
alkej-905	488	29	,	,	PUNCT
alkej-905	488	30	”	"	PUNCT
alkej-905	488	31	j.	j.	PROPN
alkej-905	488	32	eng	eng	PROPN
alkej-905	488	33	.	.	PROPN
alkej-905	488	34	,	,	PUNCT
alkej-905	488	35	vol	vol	NOUN
alkej-905	488	36	.	.	PROPN
alkej-905	488	37	25	25	NUM
alkej-905	488	38	,	,	PUNCT
alkej-905	488	39	no	no	INTJ
alkej-905	488	40	.	.	NOUN
alkej-905	488	41	7	7	NUM
alkej-905	488	42	se	se	NOUN
alkej-905	488	43	-	-	NOUN
alkej-905	488	44	articles	article	NOUN
alkej-905	488	45	,	,	PUNCT
alkej-905	488	46	pp	pp	ADJ
alkej-905	488	47	.	.	PUNCT
alkej-905	489	1	61–82	61–82	NUM
alkej-905	489	2	,	,	PUNCT
alkej-905	489	3	jun	jun	PROPN
alkej-905	489	4	.	.	PROPN
alkej-905	489	5	2019	2019	NUM
alkej-905	489	6	,	,	PUNCT
alkej-905	489	7	doi	doi	NOUN
alkej-905	489	8	:	:	PUNCT
alkej-905	489	9	10.31026	10.31026	NUM
alkej-905	489	10	/	/	SYM
alkej-905	489	11	j.eng.2019.07.04	j.eng.2019.07.04	NOUN
alkej-905	489	12	.	.	PUNCT
alkej-905	490	1	[	[	X
alkej-905	490	2	8	8	NUM
alkej-905	490	3	]	]	X
alkej-905	490	4	h.	h.	PROPN
alkej-905	490	5	jahed	jahed	PROPN
alkej-905	490	6	,	,	PUNCT
alkej-905	490	7	a.	a.	NOUN
alkej-905	490	8	varvani	varvani	NOUN
alkej-905	490	9	-	-	PUNCT
alkej-905	490	10	farahani	farahani	ADJ
alkej-905	490	11	,	,	PUNCT
alkej-905	490	12	m.	m.	NOUN
alkej-905	490	13	noban	noban	PROPN
alkej-905	490	14	,	,	PUNCT
alkej-905	490	15	and	and	CCONJ
alkej-905	490	16	i.	i.	PROPN
alkej-905	490	17	khalaji	khalaji	PROPN
alkej-905	490	18	,	,	PUNCT
alkej-905	490	19	“	"	PUNCT
alkej-905	490	20	an	an	DET
alkej-905	490	21	energy	energy	NOUN
alkej-905	490	22	-	-	PUNCT
alkej-905	490	23	based	base	VERB
alkej-905	490	24	fatigue	fatigue	NOUN
alkej-905	490	25	life	life	NOUN
alkej-905	490	26	assessment	assessment	NOUN
alkej-905	490	27	model	model	NOUN
alkej-905	490	28	for	for	ADP
alkej-905	490	29	various	various	ADJ
alkej-905	490	30	metallic	metallic	ADJ
alkej-905	490	31	materials	material	NOUN
alkej-905	490	32	under	under	ADP
alkej-905	490	33	proportional	proportional	ADJ
alkej-905	490	34	and	and	CCONJ
alkej-905	490	35	non	non	ADJ
alkej-905	490	36	-	-	ADJ
alkej-905	490	37	proportional	proportional	ADJ
alkej-905	490	38	loading	loading	NOUN
alkej-905	490	39	conditions	condition	NOUN
alkej-905	490	40	,	,	PUNCT
alkej-905	490	41	”	"	PUNCT
alkej-905	490	42	int	int	NOUN
alkej-905	490	43	.	.	PUNCT
alkej-905	491	1	j.	j.	PROPN
alkej-905	491	2	fatigue	fatigue	PROPN
alkej-905	491	3	,	,	PUNCT
alkej-905	491	4	vol	vol	NOUN
alkej-905	491	5	.	.	PROPN
alkej-905	491	6	29	29	NUM
alkej-905	491	7	,	,	PUNCT
alkej-905	491	8	no	no	INTJ
alkej-905	491	9	.	.	NOUN
alkej-905	491	10	4	4	NUM
alkej-905	491	11	,	,	PUNCT
alkej-905	491	12	pp	pp	ADJ
alkej-905	491	13	.	.	PUNCT
alkej-905	492	1	647–655	647–655	NUM
alkej-905	492	2	,	,	PUNCT
alkej-905	492	3	2007	2007	NUM
alkej-905	492	4	,	,	PUNCT
alkej-905	492	5	...	...	PUNCT
alkej-905	493	1	[	[	X
alkej-905	493	2	9	9	X
alkej-905	493	3	]	]	PUNCT
alkej-905	493	4	s.	s.	PROPN
alkej-905	493	5	a.	a.	PROPN
alkej-905	493	6	z.	z.	PROPN
alkej-905	493	7	dr	dr	PROPN
alkej-905	493	8	.	.	PROPN
alkej-905	493	9	fathi	fathi	PROPN
alkej-905	493	10	alshamma	alshamma	PROPN
alkej-905	493	11	,	,	PUNCT
alkej-905	493	12	“	"	PUNCT
alkej-905	493	13	no	no	DET
alkej-905	493	14	titlecrack	titlecrack	NOUN
alkej-905	493	15	growth	growth	NOUN
alkej-905	493	16	behavior	behavior	NOUN
alkej-905	493	17	of	of	ADP
alkej-905	493	18	cracked	crack	VERB
alkej-905	493	19	copper	copper	NOUN
alkej-905	493	20	pipes	pipe	NOUN
alkej-905	493	21	(	(	PUNCT
alkej-905	493	22	12200	12200	NUM
alkej-905	493	23	)	)	PUNCT
alkej-905	493	24	under	under	ADP
alkej-905	493	25	cyclic	cyclic	ADJ
alkej-905	493	26	torsion	torsion	NOUN
alkej-905	493	27	loads	load	NOUN
alkej-905	493	28	,	,	PUNCT
alkej-905	493	29	”	"	PUNCT
alkej-905	493	30	int	int	NOUN
alkej-905	493	31	.	.	PUNCT
alkej-905	494	1	j.	j.	PROPN
alkej-905	494	2	eng	eng	PROPN
alkej-905	494	3	.	.	PROPN
alkej-905	495	1	technol	technol	PROPN
alkej-905	495	2	.	.	PUNCT
alkej-905	496	1	sci	sci	PROPN
alkej-905	496	2	.	.	PUNCT
alkej-905	496	3	innov	innov	PROPN
alkej-905	496	4	.	.	PROPN
alkej-905	496	5	,	,	PUNCT
alkej-905	496	6	vol	vol	NOUN
alkej-905	496	7	.	.	PROPN
alkej-905	496	8	2	2	NUM
alkej-905	496	9	,	,	PUNCT
alkej-905	496	10	pp	pp	ADJ
alkej-905	496	11	.	.	PUNCT
alkej-905	497	1	595–603	595–603	NUM
alkej-905	497	2	,	,	PUNCT
alkej-905	497	3	2017	2017	NUM
alkej-905	497	4	,	,	PUNCT
alkej-905	497	5	[	[	X
alkej-905	497	6	online	online	X
alkej-905	497	7	]	]	X
alkej-905	497	8	.	.	PUNCT
alkej-905	498	1	available	available	ADJ
alkej-905	498	2	:	:	PUNCT
alkej-905	498	3	https://www.ijetsi.org/more2017.php?id=50	https://www.ijetsi.org/more2017.php?id=50	X
alkej-905	498	4	[	[	X
alkej-905	498	5	10	10	NUM
alkej-905	498	6	]	]	PUNCT
alkej-905	498	7	f.	f.	PROPN
alkej-905	498	8	a.	a.	PROPN
alkej-905	498	9	alshamma	alshamma	PROPN
alkej-905	498	10	and	and	CCONJ
alkej-905	498	11	m.	m.	PROPN
alkej-905	498	12	h.	h.	PROPN
alkej-905	498	13	salman	salman	PROPN
alkej-905	498	14	,	,	PUNCT
alkej-905	498	15	“	"	PUNCT
alkej-905	498	16	modified	modify	VERB
alkej-905	498	17	method	method	NOUN
alkej-905	498	18	for	for	ADP
alkej-905	498	19	studying	study	VERB
alkej-905	498	20	the	the	DET
alkej-905	498	21	effect	effect	NOUN
alkej-905	498	22	of	of	ADP
alkej-905	498	23	laser	laser	NOUN
alkej-905	498	24	shot	shot	NOUN
alkej-905	498	25	peening	peening	NOUN
alkej-905	498	26	in	in	ADP
alkej-905	498	27	thin	thin	ADJ
alkej-905	498	28	plate	plate	NOUN
alkej-905	498	29	on	on	ADP
alkej-905	498	30	dynamic	dynamic	ADJ
alkej-905	498	31	crack	crack	NOUN
alkej-905	498	32	propagation	propagation	NOUN
alkej-905	498	33	under	under	ADP
alkej-905	498	34	cycling	cycle	VERB
alkej-905	498	35	thermal	thermal	ADJ
alkej-905	498	36	effect	effect	NOUN
alkej-905	498	37	,	,	PUNCT
alkej-905	498	38	”	"	PUNCT
alkej-905	498	39	2020	2020	NUM
alkej-905	498	40	.	.	PUNCT
alkej-905	499	1	[	[	X
alkej-905	499	2	11	11	NUM
alkej-905	499	3	]	]	X
alkej-905	499	4	f.	f.	PROPN
alkej-905	499	5	wang	wang	PROPN
alkej-905	499	6	,	,	PUNCT
alkej-905	499	7	z.	z.	PROPN
alkej-905	499	8	l.	l.	PROPN
alkej-905	499	9	he	he	PRON
alkej-905	499	10	,	,	PUNCT
alkej-905	499	11	s.	s.	PROPN
alkej-905	499	12	yang	yang	PROPN
alkej-905	499	13	,	,	PUNCT
alkej-905	499	14	z.	z.	PROPN
alkej-905	499	15	g.	g.	PROPN
alkej-905	499	16	fu	fu	PROPN
alkej-905	499	17	,	,	PUNCT
alkej-905	499	18	h.	h.	PROPN
alkej-905	499	19	li	li	PROPN
alkej-905	499	20	,	,	PUNCT
alkej-905	499	21	and	and	CCONJ
alkej-905	499	22	j.	j.	PROPN
alkej-905	499	23	h.	h.	PROPN
alkej-905	499	24	deng	deng	PROPN
alkej-905	499	25	,	,	PUNCT
alkej-905	499	26	“	"	PUNCT
alkej-905	499	27	investigation	investigation	NOUN
alkej-905	499	28	of	of	ADP
alkej-905	499	29	mixed	mixed	ADJ
alkej-905	499	30	-	-	PUNCT
alkej-905	499	31	mode	mode	NOUN
alkej-905	499	32	crack	crack	NOUN
alkej-905	499	33	propagation	propagation	NOUN
alkej-905	499	34	behaviour	behaviour	NOUN
alkej-905	499	35	under	under	ADP
alkej-905	499	36	impact	impact	NOUN
alkej-905	499	37	loading	loading	NOUN
alkej-905	499	38	,	,	PUNCT
alkej-905	499	39	”	"	PUNCT
alkej-905	499	40	iop	iop	NOUN
alkej-905	499	41	conf	conf	NOUN
alkej-905	499	42	.	.	PUNCT
alkej-905	500	1	ser	ser	PROPN
alkej-905	500	2	.	.	PROPN
alkej-905	500	3	earth	earth	PROPN
alkej-905	500	4	environ	environ	PROPN
alkej-905	500	5	.	.	PUNCT
alkej-905	501	1	sci	sci	PROPN
alkej-905	501	2	.	.	PROPN
alkej-905	501	3	,	,	PUNCT
alkej-905	501	4	vol	vol	NOUN
alkej-905	501	5	.	.	PROPN
alkej-905	501	6	861	861	NUM
alkej-905	501	7	,	,	PUNCT
alkej-905	501	8	no	no	INTJ
alkej-905	501	9	.	.	NOUN
alkej-905	501	10	4	4	NUM
alkej-905	501	11	,	,	PUNCT
alkej-905	501	12	p.	p.	NOUN
alkej-905	501	13	42007	42007	NUM
alkej-905	501	14	,	,	PUNCT
alkej-905	501	15	2021	2021	NUM
alkej-905	501	16	,	,	PUNCT
alkej-905	501	17	doi	doi	NOUN
alkej-905	501	18	:	:	PUNCT
alkej-905	501	19	10.1088/1755	10.1088/1755	NUM
alkej-905	501	20	-	-	SYM
alkej-905	501	21	1315/861/4/042007	1315/861/4/042007	NUM
alkej-905	501	22	.	.	PUNCT
alkej-905	502	1	[	[	X
alkej-905	502	2	12	12	NUM
alkej-905	502	3	]	]	PUNCT
alkej-905	502	4	a.	a.	PROPN
alkej-905	502	5	k.	k.	PROPN
alkej-905	502	6	vasudevan	vasudevan	PROPN
alkej-905	502	7	and	and	CCONJ
alkej-905	502	8	r.	r.	PROPN
alkej-905	502	9	d.	d.	PROPN
alkej-905	502	10	doherty	doherty	PROPN
alkej-905	502	11	,	,	PUNCT
alkej-905	502	12	aluminum	aluminum	NOUN
alkej-905	502	13	alloys	alloy	NOUN
alkej-905	502	14	--	--	PUNCT
alkej-905	502	15	contemporary	contemporary	ADJ
alkej-905	502	16	research	research	NOUN
alkej-905	502	17	and	and	CCONJ
alkej-905	502	18	applications	application	NOUN
alkej-905	502	19	:	:	PUNCT
alkej-905	502	20	contemporary	contemporary	ADJ
alkej-905	502	21	research	research	NOUN
alkej-905	502	22	and	and	CCONJ
alkej-905	502	23	applications	application	NOUN
alkej-905	502	24	.	.	PUNCT
alkej-905	503	1	in	in	ADP
alkej-905	503	2	issn	issn	PROPN
alkej-905	503	3	.	.	PUNCT
alkej-905	504	1	elsevier	elsevier	PROPN
alkej-905	504	2	science	science	PROPN
alkej-905	504	3	,	,	PUNCT
alkej-905	504	4	2012	2012	NUM
alkej-905	504	5	.	.	PUNCT
alkej-905	505	1	[	[	X
alkej-905	505	2	online	online	X
alkej-905	505	3	]	]	X
alkej-905	505	4	.	.	PUNCT
alkej-905	506	1	available	available	ADJ
alkej-905	506	2	:	:	PUNCT
alkej-905	506	3	https://books.google.iq/books?id=jgyaa1staxec	https://books.google.iq/books?id=jgyaa1staxec	PROPN
alkej-905	506	4	[	[	X
alkej-905	506	5	13	13	NUM
alkej-905	506	6	]	]	PUNCT
alkej-905	506	7	r.	r.	PROPN
alkej-905	506	8	j.	j.	PROPN
alkej-905	506	9	bucci	bucci	PROPN
alkej-905	506	10	,	,	PUNCT
alkej-905	506	11	“	"	PUNCT
alkej-905	506	12	selecting	select	VERB
alkej-905	506	13	aluminum	aluminum	NOUN
alkej-905	506	14	alloys	alloy	NOUN
alkej-905	506	15	to	to	PART
alkej-905	506	16	resist	resist	VERB
alkej-905	506	17	failure	failure	NOUN
alkej-905	506	18	by	by	ADP
alkej-905	506	19	fracture	fracture	ADJ
alkej-905	506	20	mechanisms	mechanism	NOUN
alkej-905	506	21	,	,	PUNCT
alkej-905	506	22	”	"	PUNCT
alkej-905	506	23	eng	eng	PROPN
alkej-905	506	24	.	.	PROPN
alkej-905	506	25	fract	fract	PROPN
alkej-905	506	26	.	.	PUNCT
alkej-905	507	1	mech	mech	PROPN
alkej-905	507	2	.	.	PUNCT
alkej-905	507	3	,	,	PUNCT
alkej-905	507	4	vol	vol	NOUN
alkej-905	507	5	.	.	PROPN
alkej-905	507	6	12	12	NUM
alkej-905	507	7	,	,	PUNCT
alkej-905	507	8	no	no	INTJ
alkej-905	507	9	.	.	NOUN
alkej-905	507	10	3	3	NUM
alkej-905	507	11	,	,	PUNCT
alkej-905	507	12	pp	pp	ADJ
alkej-905	507	13	.	.	PUNCT
alkej-905	508	1	407–441	407–441	NUM
alkej-905	508	2	,	,	PUNCT
alkej-905	508	3	1979	1979	NUM
alkej-905	508	4	,	,	PUNCT
alkej-905	508	5	doi	doi	NOUN
alkej-905	508	6	:	:	PUNCT
alkej-905	508	7	https://doi.org/10.1016/0013-7944(79)90053-5	https://doi.org/10.1016/0013-7944(79)90053-5	PROPN
alkej-905	508	8	.	.	PUNCT
alkej-905	509	1	[	[	X
alkej-905	509	2	14	14	NUM
alkej-905	509	3	]	]	X
alkej-905	509	4	r.	r.	PROPN
alkej-905	509	5	yamada	yamada	PROPN
alkej-905	509	6	,	,	PUNCT
alkej-905	509	7	s.	s.	PROPN
alkej-905	509	8	ishizawa	ishizawa	PROPN
alkej-905	509	9	,	,	PUNCT
alkej-905	509	10	g.	g.	PROPN
alkej-905	509	11	itoh	itoh	PROPN
alkej-905	509	12	,	,	PUNCT
alkej-905	509	13	a.	a.	PROPN
alkej-905	509	14	kurumada	kurumada	PROPN
alkej-905	509	15	,	,	PUNCT
alkej-905	509	16	and	and	CCONJ
alkej-905	509	17	m.	m.	PROPN
alkej-905	509	18	nakai	nakai	PROPN
alkej-905	509	19	,	,	PUNCT
alkej-905	509	20	“	"	PUNCT
alkej-905	509	21	effects	effect	NOUN
alkej-905	509	22	of	of	ADP
alkej-905	509	23	environment	environment	NOUN
alkej-905	509	24	on	on	ADP
alkej-905	509	25	fatigue	fatigue	NOUN
alkej-905	509	26	crack	crack	NOUN
alkej-905	509	27	growth	growth	NOUN
alkej-905	509	28	behavior	behavior	NOUN
alkej-905	509	29	of	of	ADP
alkej-905	509	30	2000	2000	NUM
alkej-905	509	31	and	and	CCONJ
alkej-905	509	32	7000	7000	NUM
alkej-905	509	33	series	series	NOUN
alkej-905	509	34	aluminum	aluminum	NOUN
alkej-905	509	35	alloys	alloy	NOUN
alkej-905	509	36	,	,	PUNCT
alkej-905	509	37	”	"	PUNCT
alkej-905	509	38	l.	l.	PROPN
alkej-905	509	39	b.	b.	PROPN
alkej-905	509	40	t.-r	t.-r	PROPN
alkej-905	509	41	.	.	PUNCT
alkej-905	510	1	a.	a.	PROPN
alkej-905	510	2	in	in	ADP
alkej-905	510	3	s.	s.	PROPN
alkej-905	510	4	i.	i.	PROPN
alkej-905	510	5	a.-p	a.-p	PROPN
alkej-905	510	6	.	.	PUNCT
alkej-905	511	1	of	of	ADP
alkej-905	511	2	the	the	DET
alkej-905	511	3	i.	i.	PROPN
alkej-905	511	4	c.	c.	PROPN
alkej-905	511	5	(	(	PUNCT
alkej-905	511	6	apcf	apcf	PROPN
alkej-905	511	7	/	/	SYM
alkej-905	511	8	sif-2014	sif-2014	NOUN
alkej-905	511	9	)	)	PUNCT
alkej-905	511	10	ye	ye	ADP
alkej-905	511	11	,	,	PUNCT
alkej-905	511	12	ed	ed	NOUN
alkej-905	511	13	.	.	PROPN
alkej-905	511	14	,	,	PUNCT
alkej-905	511	15	oxford	oxford	PROPN
alkej-905	511	16	:	:	PUNCT
alkej-905	511	17	woodhead	woodhead	PROPN
alkej-905	511	18	pu	pu	PROPN
alkej-905	511	19	...	...	PUNCT
alkej-905	512	1	[	[	X
alkej-905	512	2	15	15	NUM
alkej-905	512	3	]	]	X
alkej-905	512	4	m.	m.	NOUN
alkej-905	512	5	d.	d.	PROPN
alkej-905	512	6	vijayakumar	vijayakumar	PROPN
alkej-905	512	7	,	,	PUNCT
alkej-905	512	8	v.	v.	ADP
alkej-905	512	9	dhinakaran	dhinakaran	PROPN
alkej-905	512	10	,	,	PUNCT
alkej-905	512	11	t.	t.	NOUN
alkej-905	512	12	sathish	sathish	PROPN
alkej-905	512	13	,	,	PUNCT
alkej-905	512	14	g.	g.	PROPN
alkej-905	512	15	muthu	muthu	PROPN
alkej-905	512	16	,	,	PUNCT
alkej-905	512	17	and	and	CCONJ
alkej-905	512	18	p.	p.	PROPN
alkej-905	512	19	m.	m.	PROPN
alkej-905	512	20	b.	b.	PROPN
alkej-905	512	21	ram	ram	PROPN
alkej-905	512	22	,	,	PUNCT
alkej-905	512	23	“	"	PUNCT
alkej-905	512	24	experimental	experimental	ADJ
alkej-905	512	25	study	study	NOUN
alkej-905	512	26	of	of	ADP
alkej-905	512	27	chemical	chemical	ADJ
alkej-905	512	28	composition	composition	NOUN
alkej-905	512	29	of	of	ADP
alkej-905	512	30	aluminium	aluminium	NOUN
alkej-905	512	31	alloys	alloy	NOUN
alkej-905	512	32	,	,	PUNCT
alkej-905	512	33	”	"	PUNCT
alkej-905	512	34	mater	mater	NOUN
alkej-905	512	35	.	.	PUNCT
alkej-905	513	1	today	today	NOUN
alkej-905	513	2	proc	proc	NOUN
alkej-905	513	3	.	.	PROPN
alkej-905	513	4	,	,	PUNCT
alkej-905	513	5	vol	vol	NOUN
alkej-905	513	6	.	.	PROPN
alkej-905	514	1	37	37	NUM
alkej-905	514	2	,	,	PUNCT
alkej-905	514	3	pp	pp	ADJ
alkej-905	514	4	.	.	PUNCT
alkej-905	515	1	1790–1793	1790–1793	NUM
alkej-905	515	2	,	,	PUNCT
alkej-905	515	3	2021	2021	NUM
alkej-905	515	4	,	,	PUNCT
alkej-905	515	5	doi	doi	NOUN
alkej-905	515	6	:	:	PUNCT
alkej-905	515	7	https://doi.org/10.1016/j.matpr.2020.07.391	https://doi.org/10.1016/j.matpr.2020.07.391	PROPN
alkej-905	515	8	.	.	PUNCT
alkej-905	516	1	[	[	X
alkej-905	516	2	16	16	NUM
alkej-905	516	3	]	]	X
alkej-905	516	4	h.	h.	PROPN
alkej-905	516	5	tada	tada	PROPN
alkej-905	516	6	,	,	PUNCT
alkej-905	516	7	h.	h.	PROPN
alkej-905	516	8	a.	a.	PROPN
alkej-905	516	9	ernst	ernst	PROPN
alkej-905	516	10	,	,	PUNCT
alkej-905	516	11	and	and	CCONJ
alkej-905	516	12	p.	p.	PROPN
alkej-905	516	13	c.	c.	PROPN
alkej-905	516	14	paris	paris	PROPN
alkej-905	516	15	,	,	PUNCT
alkej-905	516	16	“	"	PUNCT
alkej-905	516	17	westergaard	westergaard	ADP
alkej-905	516	18	stress	stress	NOUN
alkej-905	516	19	functions	function	NOUN
alkej-905	516	20	for	for	ADP
alkej-905	516	21	displacement	displacement	NOUN
alkej-905	516	22	-	-	PUNCT
alkej-905	516	23	prescribed	prescribe	VERB
alkej-905	516	24	crack	crack	NOUN
alkej-905	516	25	problems	problem	NOUN
alkej-905	516	26	—	—	PUNCT
alkej-905	516	27	i	i	PRON
alkej-905	516	28	,	,	PUNCT
alkej-905	516	29	”	"	PUNCT
alkej-905	516	30	int	int	NOUN
alkej-905	516	31	.	.	PUNCT
alkej-905	517	1	j.	j.	PROPN
alkej-905	517	2	fract	fract	PROPN
alkej-905	517	3	.	.	PUNCT
alkej-905	517	4	,	,	PUNCT
alkej-905	517	5	vol	vol	NOUN
alkej-905	517	6	.	.	PROPN
alkej-905	517	7	61	61	NUM
alkej-905	517	8	,	,	PUNCT
alkej-905	517	9	no	no	INTJ
alkej-905	517	10	.	.	NOUN
alkej-905	517	11	1	1	NUM
alkej-905	517	12	,	,	PUNCT
alkej-905	517	13	pp	pp	ADJ
alkej-905	517	14	.	.	PUNCT
alkej-905	517	15	39–53	39–53	NUM
alkej-905	517	16	,	,	PUNCT
alkej-905	517	17	1993	1993	NUM
alkej-905	517	18	,	,	PUNCT
alkej-905	517	19	doi	doi	NOUN
alkej-905	517	20	:	:	PUNCT
alkej-905	517	21	10.1007	10.1007	NUM
alkej-905	517	22	/	/	SYM
alkej-905	517	23	bf00032338	bf00032338	NOUN
alkej-905	517	24	.	.	PUNCT
alkej-905	518	1	[	[	X
alkej-905	518	2	17	17	NUM
alkej-905	518	3	]	]	X
alkej-905	518	4	l.	l.	PROPN
alkej-905	518	5	ewalds	ewalds	PROPN
alkej-905	518	6	,	,	PUNCT
alkej-905	518	7	h	h	NOUN
alkej-905	518	8	and	and	CCONJ
alkej-905	518	9	h.	h.	PROPN
alkej-905	518	10	wanhill	wanhill	PROPN
alkej-905	518	11	,	,	PUNCT
alkej-905	518	12	r	r	PROPN
alkej-905	518	13	,	,	PUNCT
alkej-905	518	14	j	j	NOUN
alkej-905	518	15	,	,	PUNCT
alkej-905	518	16	fracture	fracture	NOUN
alkej-905	518	17	mechanics	mechanic	NOUN
alkej-905	518	18	,	,	PUNCT
alkej-905	518	19	fourth	fourth	ADJ
alkej-905	518	20	.	.	PUNCT
alkej-905	519	1	london	london	PROPN
alkej-905	519	2	:	:	PUNCT
alkej-905	519	3	edwrd	edwrd	PROPN
alkej-905	519	4	arnold	arnold	PROPN
alkej-905	519	5	,	,	PUNCT
alkej-905	519	6	1989	1989	NUM
alkej-905	519	7	.	.	PUNCT
alkej-905	520	1	[	[	X
alkej-905	520	2	18	18	NUM
alkej-905	520	3	]	]	PUNCT
alkej-905	520	4	s.	s.	PROPN
alkej-905	520	5	e.	e.	PROPN
alkej-905	520	6	a.	a.	PROPN
alkej-905	520	7	b.	b.	PROPN
alkej-905	520	8	abdel	abdel	PROPN
alkej-905	520	9	-	-	PUNCT
alkej-905	520	10	rahman	rahman	PROPN
alkej-905	520	11	a.	a.	PROPN
alkej-905	520	12	ragab	ragab	PROPN
alkej-905	520	13	,	,	PUNCT
alkej-905	520	14	engineering	engineer	VERB
alkej-905	520	15	solid	solid	ADJ
alkej-905	520	16	mechanics	mechanic	NOUN
alkej-905	520	17	,	,	PUNCT
alkej-905	520	18	fist	fist	NOUN
alkej-905	520	19	.	.	PUNCT
alkej-905	521	1	boca	boca	PROPN
alkej-905	521	2	raton	raton	PROPN
alkej-905	521	3	:	:	PUNCT
alkej-905	521	4	20	20	NUM
alkej-905	521	5	december	december	PROPN
alkej-905	521	6	2019	2019	NUM
alkej-905	521	7	,	,	PUNCT
alkej-905	521	8	1998	1998	NUM
alkej-905	521	9	.	.	PUNCT
alkej-905	522	1	doi	doi	NOUN
alkej-905	522	2	:	:	PUNCT
alkej-905	522	3	https://doi.org/10.1201/9780203757307	https://doi.org/10.1201/9780203757307	NUM
alkej-905	522	4	.	.	PUNCT
alkej-905	523	1	[	[	X
alkej-905	523	2	19	19	NUM
alkej-905	523	3	]	]	X
alkej-905	523	4	[	[	X
alkej-905	523	5	19	19	NUM
alkej-905	523	6	]	]	X
alkej-905	523	7	r.	r.	PROPN
alkej-905	523	8	l.	l.	PROPN
alkej-905	523	9	liboff	liboff	PROPN
alkej-905	523	10	,	,	PUNCT
alkej-905	523	11	kinetic	kinetic	ADJ
alkej-905	523	12	theory	theory	NOUN
alkej-905	523	13	:	:	PUNCT
alkej-905	523	14	classical	classical	ADJ
alkej-905	523	15	,	,	PUNCT
alkej-905	523	16	quantum	quantum	NOUN
alkej-905	523	17	,	,	PUNCT
alkej-905	523	18	and	and	CCONJ
alkej-905	523	19	relativistic	relativistic	ADJ
alkej-905	523	20	descriptions	description	NOUN
alkej-905	523	21	.	.	PUNCT
alkej-905	524	1	in	in	ADP
alkej-905	524	2	graduate	graduate	NOUN
alkej-905	524	3	texts	text	NOUN
alkej-905	524	4	in	in	ADP
alkej-905	524	5	contemporary	contemporary	ADJ
alkej-905	524	6	physics	physics	PROPN
alkej-905	524	7	.	.	PUNCT
alkej-905	524	8	springer	springer	PROPN
alkej-905	524	9	,	,	PUNCT
alkej-905	524	10	new	new	PROPN
alkej-905	524	11	york	york	PROPN
alkej-905	524	12	,	,	PUNCT
alkej-905	524	13	2006	2006	NUM
alkej-905	524	14	.	.	PUNCT
alkej-905	525	1	[	[	X
alkej-905	525	2	online	online	X
alkej-905	525	3	]	]	X
alkej-905	525	4	.	.	PUNCT
alkej-905	526	1	available	available	ADJ
alkej-905	526	2	:	:	PUNCT
alkej-905	526	3	https://books.google.iq/books?id=iqasbwaaqbaj	https://books.google.iq/books?id=iqasbwaaqbaj	X
alkej-905	527	1	[	[	X
alkej-905	527	2	20	20	NUM
alkej-905	527	3	]	]	X
alkej-905	527	4	j.	j.	PROPN
alkej-905	527	5	knot	knot	PROPN
alkej-905	527	6	,	,	PUNCT
alkej-905	527	7	fundamentals	fundamental	NOUN
alkej-905	527	8	of	of	ADP
alkej-905	527	9	fracture	fracture	NOUN
alkej-905	527	10	mechanics	mechanic	NOUN
alkej-905	527	11	,	,	PUNCT
alkej-905	527	12	first	first	ADV
alkej-905	527	13	.	.	PUNCT
alkej-905	528	1	london	london	PROPN
alkej-905	528	2	,	,	PUNCT
alkej-905	528	3	1973	1973	NUM
alkej-905	528	4	.	.	PUNCT
alkej-905	529	1	[	[	X
alkej-905	529	2	21	21	NUM
alkej-905	529	3	]	]	PUNCT
alkej-905	529	4	k.	k.	PROPN
alkej-905	529	5	sadananda	sadananda	PROPN
alkej-905	529	6	,	,	PUNCT
alkej-905	529	7	k.	k.	PROPN
alkej-905	529	8	n.	n.	PROPN
alkej-905	529	9	solanki	solanki	PROPN
alkej-905	529	10	,	,	PUNCT
alkej-905	529	11	and	and	CCONJ
alkej-905	529	12	a.	a.	PROPN
alkej-905	529	13	k.	k.	PROPN
alkej-905	529	14	vasudevan	vasudevan	PROPN
alkej-905	529	15	,	,	PUNCT
alkej-905	529	16	“	"	PUNCT
alkej-905	529	17	subcritical	subcritical	ADJ
alkej-905	529	18	crack	crack	NOUN
alkej-905	529	19	growth	growth	NOUN
alkej-905	529	20	and	and	CCONJ
alkej-905	529	21	crack	crack	VERB
alkej-905	529	22	tip	tip	NOUN
alkej-905	529	23	driving	driving	NOUN
alkej-905	529	24	forces	force	NOUN
alkej-905	529	25	in	in	ADP
alkej-905	529	26	relation	relation	NOUN
alkej-905	529	27	to	to	ADP
alkej-905	529	28	material	material	NOUN
alkej-905	529	29	resistance	resistance	NOUN
alkej-905	529	30	,	,	PUNCT
alkej-905	529	31	”	"	PUNCT
alkej-905	529	32	vol	vol	NOUN
alkej-905	529	33	.	.	PROPN
alkej-905	529	34	35	35	NUM
alkej-905	529	35	,	,	PUNCT
alkej-905	529	36	no	no	INTJ
alkej-905	529	37	.	.	PUNCT
alkej-905	530	1	4–5	4–5	NUM
alkej-905	530	2	,	,	PUNCT
alkej-905	530	3	pp	pp	ADJ
alkej-905	530	4	.	.	PUNCT
alkej-905	531	1	251–265	251–265	NUM
alkej-905	531	2	,	,	PUNCT
alkej-905	531	3	2017	2017	NUM
alkej-905	531	4	,	,	PUNCT
alkej-905	531	5	doi	doi	NOUN
alkej-905	531	6	:	:	PUNCT
alkej-905	531	7	doi:10.1515	doi:10.1515	NOUN
alkej-905	531	8	/	/	SYM
alkej-905	531	9	corrrev-2017	corrrev-2017	NOUN
alkej-905	531	10	-	-	PUNCT
alkej-905	531	11	0034	0034	NUM
alkej-905	531	12	.	.	PUNCT
alkej-905	532	1	[	[	X
alkej-905	532	2	22	22	NUM
alkej-905	532	3	]	]	PUNCT
alkej-905	532	4	s.	s.	PROPN
alkej-905	532	5	alkan	alkan	PROPN
alkej-905	532	6	,	,	PUNCT
alkej-905	532	7	p.	p.	PROPN
alkej-905	532	8	chowdhury	chowdhury	PROPN
alkej-905	532	9	,	,	PUNCT
alkej-905	532	10	h.	h.	PROPN
alkej-905	532	11	sehitoglu	sehitoglu	PROPN
alkej-905	532	12	,	,	PUNCT
alkej-905	532	13	r.	r.	PROPN
alkej-905	532	14	g.	g.	PROPN
alkej-905	532	15	rateick	rateick	PROPN
alkej-905	532	16	,	,	PUNCT
alkej-905	532	17	and	and	CCONJ
alkej-905	532	18	h.	h.	PROPN
alkej-905	532	19	j.	j.	PROPN
alkej-905	532	20	maier	maier	PROPN
alkej-905	532	21	,	,	PUNCT
alkej-905	532	22	“	"	PUNCT
alkej-905	532	23	role	role	NOUN
alkej-905	532	24	of	of	ADP
alkej-905	532	25	nanotwins	nanotwin	NOUN
alkej-905	532	26	on	on	ADP
alkej-905	532	27	fatigue	fatigue	NOUN
alkej-905	532	28	crack	crack	NOUN
alkej-905	532	29	growth	growth	NOUN
alkej-905	532	30	resistance	resistance	NOUN
alkej-905	532	31	–	–	PUNCT
alkej-905	532	32	experiments	experiment	NOUN
alkej-905	532	33	and	and	CCONJ
alkej-905	532	34	theory	theory	NOUN
alkej-905	532	35	,	,	PUNCT
alkej-905	532	36	”	"	PUNCT
alkej-905	532	37	int	int	NOUN
alkej-905	532	38	.	.	PUNCT
alkej-905	533	1	j.	j.	PROPN
alkej-905	533	2	fatigue	fatigue	PROPN
alkej-905	533	3	,	,	PUNCT
alkej-905	533	4	vol	vol	NOUN
alkej-905	533	5	.	.	PROPN
alkej-905	533	6	84	84	NUM
alkej-905	533	7	,	,	PUNCT
alkej-905	533	8	pp	pp	ADJ
alkej-905	533	9	.	.	PUNCT
alkej-905	534	1	28–39	28–39	NUM
alkej-905	534	2	,	,	PUNCT
alkej-905	534	3	2016	2016	NUM
alkej-905	534	4	,	,	PUNCT
alkej-905	534	5	doi	doi	NOUN
alkej-905	534	6	:	:	PUNCT
alkej-905	534	7	https://doi.org/10.1016/j.ijfatigue.2015.11.01	https://doi.org/10.1016/j.ijfatigue.2015.11.01	PROPN
alkej-905	534	8	.	.	PUNCT
alkej-905	535	1	[	[	X
alkej-905	535	2	23	23	NUM
alkej-905	535	3	]	]	PUNCT
alkej-905	535	4	s.	s.	PROPN
alkej-905	535	5	hussein	hussein	PROPN
alkej-905	535	6	,	,	PUNCT
alkej-905	535	7	m.	m.	PROPN
alkej-905	535	8	al	al	PROPN
alkej-905	535	9	-	-	PUNCT
alkej-905	535	10	shammari	shammari	PROPN
alkej-905	535	11	,	,	PUNCT
alkej-905	535	12	a.	a.	NOUN
alkej-905	535	13	takhakh	takhakh	PROPN
alkej-905	535	14	,	,	PUNCT
alkej-905	535	15	and	and	CCONJ
alkej-905	535	16	m.	m.	PROPN
alkej-905	535	17	al	al	PROPN
alkej-905	535	18	-	-	PUNCT
alkej-905	535	19	waily	waily	NOUN
alkej-905	535	20	,	,	PUNCT
alkej-905	535	21	“	"	PUNCT
alkej-905	535	22	effect	effect	NOUN
alkej-905	535	23	of	of	ADP
alkej-905	535	24	heat	heat	NOUN
alkej-905	535	25	treatment	treatment	NOUN
alkej-905	535	26	on	on	ADP
alkej-905	535	27	mechanical	mechanical	ADJ
alkej-905	535	28	and	and	CCONJ
alkej-905	535	29	vibration	vibration	NOUN
alkej-905	535	30	properties	property	NOUN
alkej-905	535	31	for	for	ADP
alkej-905	535	32	6061	6061	NUM
alkej-905	535	33	and	and	CCONJ
alkej-905	535	34	2024	2024	NUM
alkej-905	535	35	aluminum	aluminum	NOUN
alkej-905	535	36	alloys	alloy	NOUN
alkej-905	535	37	,	,	PUNCT
alkej-905	535	38	”	"	PUNCT
alkej-905	535	39	j.	j.	PROPN
alkej-905	535	40	mech	mech	PROPN
alkej-905	535	41	.	.	PUNCT
alkej-905	536	1	eng	eng	PROPN
alkej-905	536	2	.	.	PUNCT
alkej-905	537	1	res	res	PROPN
alkej-905	537	2	.	.	PUNCT
alkej-905	538	1	dev	dev	PROPN
alkej-905	538	2	.	.	PROPN
alkej-905	538	3	,	,	PUNCT
alkej-905	538	4	vol	vol	NOUN
alkej-905	538	5	.	.	PROPN
alkej-905	539	1	43	43	NUM
alkej-905	539	2	,	,	PUNCT
alkej-905	539	3	pp	pp	ADJ
alkej-905	539	4	.	.	PUNCT
alkej-905	540	1	48–66	48–66	NUM
alkej-905	540	2	,	,	PUNCT
alkej-905	540	3	jan	jan	PROPN
alkej-905	540	4	.	.	PROPN
alkej-905	540	5	2020	2020	NUM
alkej-905	540	6	.	.	PUNCT
alkej-905	541	1	[	[	X
alkej-905	541	2	24	24	NUM
alkej-905	541	3	]	]	X
alkej-905	541	4	s.	s.	PROPN
alkej-905	541	5	keil	keil	PROPN
alkej-905	541	6	,	,	PUNCT
alkej-905	541	7	technology	technology	NOUN
alkej-905	541	8	and	and	CCONJ
alkej-905	541	9	practical	practical	ADJ
alkej-905	541	10	use	use	NOUN
alkej-905	541	11	of	of	ADP
alkej-905	541	12	strain	strain	ADJ
alkej-905	541	13	gages	gage	NOUN
alkej-905	541	14	:	:	PUNCT
alkej-905	541	15	with	with	ADP
alkej-905	541	16	particular	particular	ADJ
alkej-905	541	17	consideration	consideration	NOUN
alkej-905	541	18	of	of	ADP
alkej-905	541	19	stress	stress	ADJ
alkej-905	541	20	analysis	analysis	NOUN
alkej-905	541	21	using	use	VERB
alkej-905	541	22	strain	strain	NOUN
alkej-905	541	23	gages	gage	NOUN
alkej-905	541	24	.	.	PUNCT
alkej-905	542	1	wiley	wiley	PROPN
alkej-905	542	2	,	,	PUNCT
alkej-905	542	3	2017	2017	NUM
alkej-905	542	4	.	.	PUNCT
alkej-905	543	1	[	[	X
alkej-905	543	2	online	online	X
alkej-905	543	3	]	]	X
alkej-905	543	4	.	.	PUNCT
alkej-905	544	1	available	available	ADJ
alkej-905	544	2	:	:	PUNCT
alkej-905	545	1	https://books.google.iq/books?id=7kozdwaaqbaj	https://books.google.iq/books?id=7kozdwaaqbaj	X
alkej-905	546	1	[	[	X
alkej-905	546	2	25	25	NUM
alkej-905	546	3	]	]	PUNCT
alkej-905	546	4	t.	t.	PROPN
alkej-905	546	5	baral	baral	PROPN
alkej-905	546	6	,	,	PUNCT
alkej-905	546	7	paris	paris	PROPN
alkej-905	546	8	’	'	PUNCT
alkej-905	546	9	law	law	NOUN
alkej-905	546	10	parameters	parameter	NOUN
alkej-905	546	11	estimation	estimation	NOUN
alkej-905	546	12	for	for	ADP
alkej-905	546	13	fatigue	fatigue	NOUN
alkej-905	546	14	crack	crack	NOUN
alkej-905	546	15	prediction	prediction	NOUN
alkej-905	546	16	of	of	ADP
alkej-905	546	17	an	an	DET
alkej-905	546	18	aluminum	aluminum	NOUN
alkej-905	546	19	alloy	alloy	NOUN
alkej-905	546	20	plate	plate	NOUN
alkej-905	546	21	under	under	ADP
alkej-905	546	22	cyclic	cyclic	ADJ
alkej-905	546	23	loading	loading	NOUN
alkej-905	546	24	.	.	PUNCT
alkej-905	547	1	university	university	PROPN
alkej-905	547	2	of	of	ADP
alkej-905	547	3	manitoba	manitoba	PROPN
alkej-905	547	4	,	,	PUNCT
alkej-905	547	5	2022.https://books.google.iq/books?id=commzweacaaj	2022.https://books.google.iq/books?id=commzweacaaj	NUM
alkej-905	548	1	[	[	X
alkej-905	548	2	26	26	NUM
alkej-905	548	3	]	]	X
alkej-905	548	4	d.-c	d.-c	NOUN
alkej-905	548	5	.	.	PUNCT
alkej-905	549	1	ko	ko	PROPN
alkej-905	549	2	,	,	PUNCT
alkej-905	549	3	d.-h	d.-h	PROPN
alkej-905	549	4	.	.	PUNCT
alkej-905	550	1	ko	ko	PROPN
alkej-905	550	2	,	,	PUNCT
alkej-905	550	3	j.-h	j.-h	PROPN
alkej-905	550	4	.	.	PUNCT
alkej-905	551	1	kim	kim	PROPN
alkej-905	551	2	,	,	PUNCT
alkej-905	551	3	and	and	CCONJ
alkej-905	551	4	j.-h	j.-h	NOUN
alkej-905	551	5	.	.	PUNCT
alkej-905	552	1	park	park	NOUN
alkej-905	552	2	,	,	PUNCT
alkej-905	552	3	“	"	PUNCT
alkej-905	552	4	development	development	NOUN
alkej-905	552	5	of	of	ADP
alkej-905	552	6	a	a	DET
alkej-905	552	7	partition	partition	NOUN
alkej-905	552	8	panel	panel	NOUN
alkej-905	552	9	of	of	ADP
alkej-905	552	10	an	an	DET
alkej-905	552	11	al6061	al6061	NOUN
alkej-905	552	12	sheet	sheet	NOUN
alkej-905	552	13	metal	metal	NOUN
alkej-905	552	14	part	part	NOUN
alkej-905	552	15	for	for	ADP
alkej-905	552	16	the	the	DET
alkej-905	552	17	improvement	improvement	NOUN
alkej-905	552	18	of	of	ADP
alkej-905	552	19	formability	formability	NOUN
alkej-905	552	20	and	and	CCONJ
alkej-905	552	21	mechanical	mechanical	ADJ
alkej-905	552	22	properties	property	NOUN
alkej-905	552	23	by	by	ADP
alkej-905	552	24	hot	hot	ADJ
alkej-905	552	25	forming	form	VERB
alkej-905	552	26	quenching	quenching	NOUN
alkej-905	552	27	,	,	PUNCT
alkej-905	552	28	”	"	PUNCT
alkej-905	552	29	adv	adv	PROPN
alkej-905	552	30	.	.	PROPN
alkej-905	552	31	mech	mech	PROPN
alkej-905	552	32	.	.	PUNCT
alkej-905	553	1	eng	eng	PROPN
alkej-905	553	2	.	.	PROPN
alkej-905	553	3	,	,	PUNCT
alkej-905	553	4	vol	vol	NOUN
alkej-905	553	5	.	.	PROPN
alkej-905	553	6	9	9	NUM
alkej-905	553	7	,	,	PUNCT
alkej-905	553	8	no	no	INTJ
alkej-905	553	9	.	.	NOUN
alkej-905	553	10	2	2	NUM
alkej-905	553	11	,	,	PUNCT
alkej-905	553	12	p.	p.	NOUN
alkej-905	553	13	168781401769	168781401769	NUM
alkej-905	553	14	...	...	PUNCT
alkej-905	553	15	دراسة	دراسة	PROPN
alkej-905	553	16	معدلة	معدلة	PROPN
alkej-905	553	17	لتأثير	لتأثير	PROPN
alkej-905	553	18	الاحمال	الاحمال	PROPN
alkej-905	553	19	المركبة	المركبة	PROPN
alkej-905	553	20	بتسليط	بتسليط	NOUN
alkej-905	553	21	حمل	حمل	NOUN
alkej-905	553	22	الشد	الشد	PROPN
alkej-905	553	23	الثابت	الثابت	PROPN
alkej-905	553	24	مع	مع	PROPN
alkej-905	553	25	القص	القص	PROPN
alkej-905	553	26	الدوري	الدوري	PROPN
alkej-905	553	27	على	على	PROPN
alkej-905	553	28	انتشار	انتشار	PROPN
alkej-905	553	29	تشققات	تشققات	PROPN
alkej-905	553	30	الحواف	الحواف	PROPN
alkej-905	553	31	الديناميكية	الديناميكية	NOUN
alkej-905	553	32	في	في	ADP
alkej-905	553	33	صفيحة	صفيحة	ADJ
alkej-905	553	34	رقيقة	رقيقة	NOUN
alkej-905	553	35	من	من	NOUN
alkej-905	553	36	الألومنيوم	الألومنيوم	NOUN
alkej-905	553	37	اسراء	اسراء	PROPN
alkej-905	553	38	عبد	عبد	VERB
alkej-905	553	39	الرزاق	الرزاق	ADJ
alkej-905	553	40	مصلح1	مصلح1	PROPN
alkej-905	553	41	*	*	SYM
alkej-905	553	42	فتحي	فتحي	PROPN
alkej-905	553	43	عبد	عبد	PROPN
alkej-905	553	44	الصاحب	الصاحب	PROPN
alkej-905	553	45	الشماع2	الشماع2	PROPN
alkej-905	553	46	1	1	NUM
alkej-905	553	47	،	،	X
alkej-905	553	48	2	2	NUM
alkej-905	553	49	قسم	قسم	PROPN
alkej-905	553	50	هندسة	هندسة	NOUN
alkej-905	553	51	الميكانيك	الميكانيك	PROPN
alkej-905	553	52	،	،	PROPN
alkej-905	553	53	كلية	كلية	PROPN
alkej-905	553	54	الهندسة	الهندسة	PROPN
alkej-905	553	55	،	،	PROPN
alkej-905	553	56	جامعة	جامعة	PROPN
alkej-905	553	57	بغداد	بغداد	PROPN
alkej-905	553	58	،	،	PROPN
alkej-905	553	59	العراق	العراق	PROPN
alkej-905	553	60	*	*	PUNCT
alkej-905	553	61	البريد	البريد	PROPN
alkej-905	553	62	الالكتروني	الالكتروني	NOUN
alkej-905	553	63	:	:	PUNCT
alkej-905	553	64	israa.mosleh2003m@coeng.uobaghdad.edu.iq	israa.mosleh2003m@coeng.uobaghdad.edu.iq	PROPN
alkej-905	553	65	المستخلص	المستخلص	NOUN
alkej-905	553	66	نظرا	نظرا	NOUN
alkej-905	553	67	للأهمية	للأهمية	ADJ
alkej-905	553	68	والمخاطر	والمخاطر	PROPN
alkej-905	553	69	المحتملة	المحتملة	PROPN
alkej-905	553	70	المرتبطة	المرتبطة	PROPN
alkej-905	553	71	بحدوث	بحدوث	PROPN
alkej-905	553	72	الشقوق	الشقوق	VERB
alkej-905	553	73	الميكانيكية	الميكانيكية	VERB
alkej-905	553	74	في	في	ADP
alkej-905	553	75	التطبيقات	التطبيقات	PROPN
alkej-905	553	76	الهندسية	الهندسية	PROPN
alkej-905	553	77	الهامة	الهامة	PROPN
alkej-905	553	78	،	،	PROPN
alkej-905	553	79	فقد	فقد	PUNCT
alkej-905	554	1	أصبح	أصبح	NOUN
alkej-905	555	1	من	من	INTJ
alkej-905	555	2	الضروري	الضروري	PROPN
alkej-905	555	3	البحث	البحث	VERB
alkej-905	555	4	عن	عن	PROPN
alkej-905	555	5	نوع	نوع	ADJ
alkej-905	555	6	معين	معين	ADJ
alkej-905	555	7	من	من	PRON
alkej-905	555	8	انتشار	انتشار	PROPN
alkej-905	555	9	الشقوق	الشقوق	PROPN
alkej-905	555	10	.	.	PUNCT
alkej-905	556	1	هذه	هذه	PROPN
alkej-905	556	2	هي	هي	PROPN
alkej-905	556	3	حالة	حالة	PROPN
alkej-905	556	4	شقوق	شقوق	VERB
alkej-905	556	5	الوضع	الوضع	PROPN
alkej-905	556	6	المختلط	المختلط	PROPN
alkej-905	556	7	التي	التي	PROPN
alkej-905	556	8	تنتج	تنتج	VERB
alkej-905	556	9	عن	عن	PROPN
alkej-905	556	10	الوضع	الوضع	PROPN
alkej-905	556	11	الأول	الأول	PROPN
alkej-905	556	12	والوضع	والوضع	PROPN
alkej-905	556	13	الثاني	الثاني	PROPN
alkej-905	556	14	للتحميل	للتحميل	PROPN
alkej-905	556	15	والتي	والتي	PROPN
alkej-905	556	16	تنتشر	تنتشر	PROPN
alkej-905	557	1	في	في	DET
alkej-905	557	2	معظم	معظم	NOUN
alkej-905	557	3	ال	ال	VERB
alkej-905	557	4	...	...	PUNCT