id	sid	tid	token	lemma	pos
cet-14392	1	1	doi	doi	NOUN
cet-14392	1	2	:	:	PUNCT
cet-14392	1	3	10.3303	10.3303	NUM
cet-14392	1	4	/	/	SYM
cet-14392	1	5	cet23107103	cet23107103	NOUN
cet-14392	1	6	paper	paper	NOUN
cet-14392	1	7	received	receive	VERB
cet-14392	1	8	:	:	PUNCT
cet-14392	1	9	02	02	NUM
cet-14392	1	10	may	may	PROPN
cet-14392	1	11	2023	2023	NUM
cet-14392	1	12	;	;	PUNCT
cet-14392	1	13	revised	revise	VERB
cet-14392	1	14	:	:	PUNCT
cet-14392	1	15	02	02	NUM
cet-14392	1	16	august	august	PROPN
cet-14392	1	17	2023	2023	NUM
cet-14392	1	18	;	;	PUNCT
cet-14392	1	19	accepted	accept	VERB
cet-14392	1	20	:	:	PUNCT
cet-14392	1	21	03	03	NUM
cet-14392	1	22	november	november	PROPN
cet-14392	1	23	2023	2023	NUM
cet-14392	1	24	please	please	INTJ
cet-14392	1	25	cite	cite	VERB
cet-14392	1	26	this	this	DET
cet-14392	1	27	article	article	NOUN
cet-14392	1	28	as	as	ADP
cet-14392	1	29	:	:	PUNCT
cet-14392	1	30	habashneh	habashneh	PROPN
cet-14392	1	31	m.	m.	NOUN
cet-14392	1	32	,	,	PUNCT
cet-14392	1	33	movahedi	movahedi	PROPN
cet-14392	1	34	rad	rad	PROPN
cet-14392	1	35	m.	m.	NOUN
cet-14392	1	36	,	,	PUNCT
cet-14392	1	37	2023	2023	NUM
cet-14392	1	38	,	,	PUNCT
cet-14392	1	39	optimizing	optimize	VERB
cet-14392	1	40	topology	topology	NOUN
cet-14392	1	41	of	of	ADP
cet-14392	1	42	structures	structure	NOUN
cet-14392	1	43	considering	consider	VERB
cet-14392	1	44	fatigue	fatigue	NOUN
cet-14392	1	45	-	-	PUNCT
cet-14392	1	46	resistance	resistance	NOUN
cet-14392	1	47	,	,	PUNCT
cet-14392	1	48	chemical	chemical	NOUN
cet-14392	1	49	engineering	engineering	NOUN
cet-14392	1	50	transactions	transaction	NOUN
cet-14392	1	51	,	,	PUNCT
cet-14392	1	52	107	107	NUM
cet-14392	1	53	,	,	PUNCT
cet-14392	1	54	613	613	NUM
cet-14392	1	55	-	-	SYM
cet-14392	1	56	618	618	NUM
cet-14392	1	57	doi:10.3303	doi:10.3303	NOUN
cet-14392	1	58	/	/	SYM
cet-14392	1	59	cet23107103	cet23107103	NOUN
cet-14392	1	60	chemical	chemical	NOUN
cet-14392	1	61	engineering	engineering	NOUN
cet-14392	1	62	transactions	transaction	NOUN
cet-14392	1	63	vol	vol	NOUN
cet-14392	1	64	.	.	PUNCT
cet-14392	2	1	107	107	NUM
cet-14392	2	2	,	,	PUNCT
cet-14392	2	3	2023	2023	NUM
cet-14392	2	4	a	a	DET
cet-14392	2	5	publication	publication	NOUN
cet-14392	2	6	of	of	ADP
cet-14392	2	7	the	the	DET
cet-14392	2	8	italian	italian	ADJ
cet-14392	2	9	association	association	NOUN
cet-14392	2	10	of	of	ADP
cet-14392	2	11	chemical	chemical	PROPN
cet-14392	2	12	engineering	engineering	NOUN
cet-14392	2	13	online	online	ADV
cet-14392	2	14	at	at	ADP
cet-14392	2	15	www.cetjournal.it	www.cetjournal.it	PROPN
cet-14392	2	16	guest	guest	NOUN
cet-14392	2	17	editors	editor	NOUN
cet-14392	2	18	:	:	PUNCT
cet-14392	2	19	petar	petar	PROPN
cet-14392	2	20	s.	s.	PROPN
cet-14392	2	21	varbanov	varbanov	PROPN
cet-14392	2	22	,	,	PUNCT
cet-14392	2	23	bohong	bohong	PROPN
cet-14392	2	24	wang	wang	PROPN
cet-14392	2	25	,	,	PUNCT
cet-14392	2	26	petro	petro	NOUN
cet-14392	2	27	kapustenko	kapustenko	NOUN
cet-14392	2	28	copyright	copyright	NOUN
cet-14392	2	29	©	©	PROPN
cet-14392	2	30	2023	2023	NUM
cet-14392	2	31	,	,	PUNCT
cet-14392	2	32	aidic	aidic	ADJ
cet-14392	2	33	servizi	servizi	PROPN
cet-14392	2	34	s.r.l	s.r.l	NOUN
cet-14392	2	35	.	.	PUNCT
cet-14392	3	1	isbn	isbn	PROPN
cet-14392	3	2	979	979	NUM
cet-14392	3	3	-	-	SYM
cet-14392	3	4	12	12	NUM
cet-14392	3	5	-	-	PUNCT
cet-14392	3	6	81206	81206	NUM
cet-14392	3	7	-	-	PUNCT
cet-14392	3	8	07	07	NUM
cet-14392	3	9	-	-	PUNCT
cet-14392	3	10	6	6	NUM
cet-14392	3	11	;	;	PUNCT
cet-14392	3	12	issn	issn	PROPN
cet-14392	3	13	2283	2283	NUM
cet-14392	3	14	-	-	SYM
cet-14392	3	15	9216	9216	NUM
cet-14392	3	16	optimizing	optimizing	NOUN
cet-14392	3	17	topology	topology	NOUN
cet-14392	3	18	of	of	ADP
cet-14392	3	19	structures	structure	NOUN
cet-14392	3	20	considering	consider	VERB
cet-14392	3	21	fatigueresistance	fatigueresistance	NOUN
cet-14392	3	22	muayad	muayad	PROPN
cet-14392	3	23	habashneh	habashneh	PROPN
cet-14392	3	24	,	,	PUNCT
cet-14392	3	25	majid	majid	PROPN
cet-14392	3	26	movahedi	movahedi	PROPN
cet-14392	3	27	rad	rad	PROPN
cet-14392	3	28	*	*	PROPN
cet-14392	3	29	faculty	faculty	NOUN
cet-14392	3	30	of	of	ADP
cet-14392	3	31	architecture	architecture	NOUN
cet-14392	3	32	,	,	PUNCT
cet-14392	3	33	civil	civil	ADJ
cet-14392	3	34	engineering	engineering	NOUN
cet-14392	3	35	and	and	CCONJ
cet-14392	3	36	transport	transport	NOUN
cet-14392	3	37	sciences	sciences	PROPN
cet-14392	3	38	,	,	PUNCT
cet-14392	3	39	department	department	NOUN
cet-14392	3	40	of	of	ADP
cet-14392	3	41	structural	structural	ADJ
cet-14392	3	42	and	and	CCONJ
cet-14392	3	43	geotechnical	geotechnical	ADJ
cet-14392	3	44	engineering	engineering	NOUN
cet-14392	3	45	,	,	PUNCT
cet-14392	3	46	széchenyi	széchenyi	PROPN
cet-14392	3	47	istván	istván	PROPN
cet-14392	3	48	university	university	PROPN
cet-14392	3	49	,	,	PUNCT
cet-14392	3	50	h-9026	h-9026	PROPN
cet-14392	3	51	győr	győr	PROPN
cet-14392	3	52	,	,	PUNCT
cet-14392	3	53	hungary	hungary	PROPN
cet-14392	3	54	majidmr@sze.hu	majidmr@sze.hu	PROPN
cet-14392	4	1	the	the	DET
cet-14392	4	2	pursuit	pursuit	NOUN
cet-14392	4	3	of	of	ADP
cet-14392	4	4	reliable	reliable	ADJ
cet-14392	4	5	design	design	NOUN
cet-14392	4	6	has	have	AUX
cet-14392	4	7	become	become	VERB
cet-14392	4	8	increasingly	increasingly	ADV
cet-14392	4	9	crucial	crucial	ADJ
cet-14392	4	10	in	in	ADP
cet-14392	4	11	various	various	ADJ
cet-14392	4	12	engineering	engineering	NOUN
cet-14392	4	13	disciplines	discipline	NOUN
cet-14392	4	14	,	,	PUNCT
cet-14392	4	15	aiming	aim	VERB
cet-14392	4	16	to	to	PART
cet-14392	4	17	minimize	minimize	VERB
cet-14392	4	18	environmental	environmental	ADJ
cet-14392	4	19	impact	impact	NOUN
cet-14392	4	20	and	and	CCONJ
cet-14392	4	21	enhance	enhance	VERB
cet-14392	4	22	resource	resource	NOUN
cet-14392	4	23	efficiency	efficiency	NOUN
cet-14392	4	24	.	.	PUNCT
cet-14392	5	1	in	in	ADP
cet-14392	5	2	this	this	DET
cet-14392	5	3	context	context	NOUN
cet-14392	5	4	,	,	PUNCT
cet-14392	5	5	this	this	DET
cet-14392	5	6	study	study	NOUN
cet-14392	5	7	explores	explore	VERB
cet-14392	5	8	the	the	DET
cet-14392	5	9	integration	integration	NOUN
cet-14392	5	10	of	of	ADP
cet-14392	5	11	topology	topology	NOUN
cet-14392	5	12	optimization	optimization	NOUN
cet-14392	5	13	techniques	technique	NOUN
cet-14392	5	14	with	with	ADP
cet-14392	5	15	fatigue	fatigue	NOUN
cet-14392	5	16	analysis	analysis	NOUN
cet-14392	5	17	to	to	PART
cet-14392	5	18	develop	develop	VERB
cet-14392	5	19	reliable	reliable	ADJ
cet-14392	5	20	designs	design	NOUN
cet-14392	5	21	for	for	ADP
cet-14392	5	22	structural	structural	ADJ
cet-14392	5	23	components	component	NOUN
cet-14392	5	24	.	.	PUNCT
cet-14392	6	1	fatigue	fatigue	NOUN
cet-14392	6	2	failure	failure	NOUN
cet-14392	6	3	is	be	AUX
cet-14392	6	4	a	a	DET
cet-14392	6	5	critical	critical	ADJ
cet-14392	6	6	concern	concern	NOUN
cet-14392	6	7	in	in	ADP
cet-14392	6	8	engineering	engineering	NOUN
cet-14392	6	9	applications	application	NOUN
cet-14392	6	10	,	,	PUNCT
cet-14392	6	11	as	as	SCONJ
cet-14392	6	12	it	it	PRON
cet-14392	6	13	significantly	significantly	ADV
cet-14392	6	14	affects	affect	VERB
cet-14392	6	15	the	the	DET
cet-14392	6	16	lifespan	lifespan	NOUN
cet-14392	6	17	and	and	CCONJ
cet-14392	6	18	reliability	reliability	NOUN
cet-14392	6	19	of	of	ADP
cet-14392	6	20	structures	structure	NOUN
cet-14392	6	21	.	.	PUNCT
cet-14392	7	1	the	the	DET
cet-14392	7	2	proposed	propose	VERB
cet-14392	7	3	methodology	methodology	NOUN
cet-14392	7	4	combines	combine	VERB
cet-14392	7	5	mathematical	mathematical	ADJ
cet-14392	7	6	optimization	optimization	NOUN
cet-14392	7	7	algorithms	algorithm	NOUN
cet-14392	7	8	,	,	PUNCT
cet-14392	7	9	computational	computational	ADJ
cet-14392	7	10	modeling	modeling	NOUN
cet-14392	7	11	,	,	PUNCT
cet-14392	7	12	and	and	CCONJ
cet-14392	7	13	fatigue	fatigue	NOUN
cet-14392	7	14	analysis	analysis	NOUN
cet-14392	7	15	techniques	technique	NOUN
cet-14392	7	16	.	.	PUNCT
cet-14392	8	1	the	the	DET
cet-14392	8	2	primary	primary	ADJ
cet-14392	8	3	objective	objective	NOUN
cet-14392	8	4	of	of	ADP
cet-14392	8	5	this	this	DET
cet-14392	8	6	study	study	NOUN
cet-14392	8	7	is	be	AUX
cet-14392	8	8	to	to	PART
cet-14392	8	9	minimize	minimize	VERB
cet-14392	8	10	structural	structural	ADJ
cet-14392	8	11	weight	weight	NOUN
cet-14392	8	12	by	by	ADP
cet-14392	8	13	determining	determine	VERB
cet-14392	8	14	the	the	DET
cet-14392	8	15	optimal	optimal	ADJ
cet-14392	8	16	material	material	NOUN
cet-14392	8	17	arrangement	arrangement	NOUN
cet-14392	8	18	within	within	ADP
cet-14392	8	19	the	the	DET
cet-14392	8	20	design	design	NOUN
cet-14392	8	21	domain	domain	NOUN
cet-14392	8	22	while	while	SCONJ
cet-14392	8	23	also	also	ADV
cet-14392	8	24	considering	consider	VERB
cet-14392	8	25	fatigue	fatigue	NOUN
cet-14392	8	26	as	as	ADP
cet-14392	8	27	a	a	DET
cet-14392	8	28	constraint	constraint	NOUN
cet-14392	8	29	within	within	ADP
cet-14392	8	30	the	the	DET
cet-14392	8	31	optimization	optimization	NOUN
cet-14392	8	32	problem	problem	NOUN
cet-14392	8	33	.	.	PUNCT
cet-14392	9	1	the	the	DET
cet-14392	9	2	bi	bi	ADJ
cet-14392	9	3	-	-	ADJ
cet-14392	9	4	directional	directional	ADJ
cet-14392	9	5	evolutionary	evolutionary	ADJ
cet-14392	9	6	structural	structural	ADJ
cet-14392	9	7	optimization	optimization	NOUN
cet-14392	9	8	(	(	PUNCT
cet-14392	9	9	beso	beso	NOUN
cet-14392	9	10	)	)	PUNCT
cet-14392	9	11	method	method	NOUN
cet-14392	9	12	is	be	AUX
cet-14392	9	13	developed	develop	VERB
cet-14392	9	14	to	to	PART
cet-14392	9	15	meet	meet	VERB
cet-14392	9	16	the	the	DET
cet-14392	9	17	goal	goal	NOUN
cet-14392	9	18	of	of	ADP
cet-14392	9	19	this	this	DET
cet-14392	9	20	research	research	NOUN
cet-14392	9	21	.	.	PUNCT
cet-14392	10	1	furthermore	furthermore	ADV
cet-14392	10	2	,	,	PUNCT
cet-14392	10	3	topology	topology	NOUN
cet-14392	10	4	optimization	optimization	NOUN
cet-14392	10	5	of	of	ADP
cet-14392	10	6	l	l	NOUN
cet-14392	10	7	-	-	NOUN
cet-14392	10	8	shape	shape	NOUN
cet-14392	10	9	and	and	CCONJ
cet-14392	10	10	u	u	NOUN
cet-14392	10	11	-	-	NOUN
cet-14392	10	12	plate	plate	NOUN
cet-14392	10	13	problems	problem	NOUN
cet-14392	10	14	are	be	AUX
cet-14392	10	15	considered	consider	VERB
cet-14392	10	16	as	as	ADP
cet-14392	10	17	numerical	numerical	ADJ
cet-14392	10	18	examples	example	NOUN
cet-14392	10	19	to	to	PART
cet-14392	10	20	demonstrate	demonstrate	VERB
cet-14392	10	21	the	the	DET
cet-14392	10	22	effectiveness	effectiveness	NOUN
cet-14392	10	23	of	of	ADP
cet-14392	10	24	the	the	DET
cet-14392	10	25	suggested	suggest	VERB
cet-14392	10	26	method	method	NOUN
cet-14392	10	27	.	.	PUNCT
cet-14392	11	1	by	by	ADP
cet-14392	11	2	considering	consider	VERB
cet-14392	11	3	fatigue	fatigue	NOUN
cet-14392	11	4	behavior	behavior	NOUN
cet-14392	11	5	in	in	ADP
cet-14392	11	6	topology	topology	NOUN
cet-14392	11	7	optimization	optimization	NOUN
cet-14392	11	8	,	,	PUNCT
cet-14392	11	9	engineers	engineer	NOUN
cet-14392	11	10	can	can	AUX
cet-14392	11	11	develop	develop	VERB
cet-14392	11	12	lightweight	lightweight	ADJ
cet-14392	11	13	and	and	CCONJ
cet-14392	11	14	durable	durable	ADJ
cet-14392	11	15	structures	structure	NOUN
cet-14392	11	16	that	that	PRON
cet-14392	11	17	effectively	effectively	ADV
cet-14392	11	18	utilize	utilize	VERB
cet-14392	11	19	materials	material	NOUN
cet-14392	11	20	while	while	SCONJ
cet-14392	11	21	minimizing	minimize	VERB
cet-14392	11	22	resource	resource	NOUN
cet-14392	11	23	utilization	utilization	NOUN
cet-14392	11	24	.	.	PUNCT
cet-14392	12	1	the	the	DET
cet-14392	12	2	integration	integration	NOUN
cet-14392	12	3	of	of	ADP
cet-14392	12	4	these	these	DET
cet-14392	12	5	two	two	NUM
cet-14392	12	6	fields	field	NOUN
cet-14392	12	7	opens	open	VERB
cet-14392	12	8	up	up	ADP
cet-14392	12	9	new	new	ADJ
cet-14392	12	10	avenues	avenue	NOUN
cet-14392	12	11	for	for	ADP
cet-14392	12	12	reliable	reliable	ADJ
cet-14392	12	13	design	design	NOUN
cet-14392	12	14	,	,	PUNCT
cet-14392	12	15	promoting	promote	VERB
cet-14392	12	16	resource	resource	NOUN
cet-14392	12	17	efficiency	efficiency	NOUN
cet-14392	12	18	and	and	CCONJ
cet-14392	12	19	contributing	contribute	VERB
cet-14392	12	20	to	to	ADP
cet-14392	12	21	the	the	DET
cet-14392	12	22	overall	overall	ADJ
cet-14392	12	23	reliability	reliability	NOUN
cet-14392	12	24	of	of	ADP
cet-14392	12	25	engineering	engineering	NOUN
cet-14392	12	26	practices	practice	NOUN
cet-14392	12	27	.	.	PUNCT
cet-14392	13	1	1	1	X
cet-14392	13	2	.	.	X
cet-14392	13	3	introduction	introduction	NOUN
cet-14392	13	4	numerous	numerous	ADJ
cet-14392	13	5	researchers	researcher	NOUN
cet-14392	13	6	have	have	AUX
cet-14392	13	7	conducted	conduct	VERB
cet-14392	13	8	extensive	extensive	ADJ
cet-14392	13	9	research	research	NOUN
cet-14392	13	10	on	on	ADP
cet-14392	13	11	topology	topology	NOUN
cet-14392	13	12	optimization	optimization	NOUN
cet-14392	13	13	(	(	PUNCT
cet-14392	13	14	to	to	PART
cet-14392	13	15	)	)	PUNCT
cet-14392	13	16	of	of	ADP
cet-14392	13	17	structures	structure	NOUN
cet-14392	13	18	over	over	ADP
cet-14392	13	19	the	the	DET
cet-14392	13	20	past	past	ADJ
cet-14392	13	21	few	few	ADJ
cet-14392	13	22	decades	decade	NOUN
cet-14392	13	23	.	.	PUNCT
cet-14392	14	1	this	this	DET
cet-14392	14	2	discipline	discipline	NOUN
cet-14392	14	3	aims	aim	VERB
cet-14392	14	4	to	to	PART
cet-14392	14	5	find	find	VERB
cet-14392	14	6	the	the	DET
cet-14392	14	7	most	most	ADV
cet-14392	14	8	efficient	efficient	ADJ
cet-14392	14	9	arrangement	arrangement	NOUN
cet-14392	14	10	of	of	ADP
cet-14392	14	11	material	material	NOUN
cet-14392	14	12	within	within	ADP
cet-14392	14	13	a	a	DET
cet-14392	14	14	given	give	VERB
cet-14392	14	15	design	design	NOUN
cet-14392	14	16	domain	domain	NOUN
cet-14392	14	17	while	while	SCONJ
cet-14392	14	18	ensuring	ensure	VERB
cet-14392	14	19	that	that	SCONJ
cet-14392	14	20	all	all	DET
cet-14392	14	21	design	design	NOUN
cet-14392	14	22	constraints	constraint	NOUN
cet-14392	14	23	are	be	AUX
cet-14392	14	24	satisfied	satisfied	ADJ
cet-14392	14	25	.	.	PUNCT
cet-14392	15	1	several	several	ADJ
cet-14392	15	2	approaches	approach	NOUN
cet-14392	15	3	to	to	ADP
cet-14392	15	4	topology	topology	NOUN
cet-14392	15	5	optimization	optimization	NOUN
cet-14392	15	6	have	have	AUX
cet-14392	15	7	been	be	AUX
cet-14392	15	8	proposed	propose	VERB
cet-14392	15	9	,	,	PUNCT
cet-14392	15	10	including	include	VERB
cet-14392	15	11	the	the	DET
cet-14392	15	12	solid	solid	ADJ
cet-14392	15	13	isotropic	isotropic	ADJ
cet-14392	15	14	material	material	NOUN
cet-14392	15	15	penalization	penalization	NOUN
cet-14392	15	16	(	(	PUNCT
cet-14392	15	17	simp	simp	ADJ
cet-14392	15	18	)	)	PUNCT
cet-14392	15	19	method	method	NOUN
cet-14392	15	20	(	(	PUNCT
cet-14392	15	21	bendsøe	bendsøe	NOUN
cet-14392	15	22	,	,	PUNCT
cet-14392	15	23	1989	1989	NUM
cet-14392	15	24	)	)	PUNCT
cet-14392	15	25	,	,	PUNCT
cet-14392	15	26	evolutionary	evolutionary	ADJ
cet-14392	15	27	structural	structural	ADJ
cet-14392	15	28	optimization	optimization	NOUN
cet-14392	15	29	(	(	PUNCT
cet-14392	15	30	eso	eso	NOUN
cet-14392	15	31	)	)	PUNCT
cet-14392	15	32	method	method	NOUN
cet-14392	15	33	(	(	PUNCT
cet-14392	15	34	xie	xie	PROPN
cet-14392	15	35	and	and	CCONJ
cet-14392	15	36	steven	steven	PROPN
cet-14392	15	37	,	,	PUNCT
cet-14392	15	38	1993	1993	NUM
cet-14392	15	39	)	)	PUNCT
cet-14392	15	40	,	,	PUNCT
cet-14392	15	41	the	the	DET
cet-14392	15	42	developed	develop	VERB
cet-14392	15	43	approach	approach	NOUN
cet-14392	15	44	,	,	PUNCT
cet-14392	15	45	known	know	VERB
cet-14392	15	46	as	as	ADP
cet-14392	15	47	the	the	DET
cet-14392	15	48	bi	bi	ADJ
cet-14392	15	49	-	-	ADJ
cet-14392	15	50	directional	directional	ADJ
cet-14392	15	51	evolutionary	evolutionary	ADJ
cet-14392	15	52	structural	structural	ADJ
cet-14392	15	53	optimization	optimization	NOUN
cet-14392	15	54	(	(	PUNCT
cet-14392	15	55	beso	beso	NOUN
cet-14392	15	56	)	)	PUNCT
cet-14392	15	57	method	method	NOUN
cet-14392	15	58	,	,	PUNCT
cet-14392	15	59	which	which	PRON
cet-14392	15	60	focuses	focus	VERB
cet-14392	15	61	on	on	ADP
cet-14392	15	62	restoring	restore	VERB
cet-14392	15	63	elements	element	NOUN
cet-14392	15	64	that	that	PRON
cet-14392	15	65	were	be	AUX
cet-14392	15	66	removed	remove	VERB
cet-14392	15	67	in	in	ADP
cet-14392	15	68	the	the	DET
cet-14392	15	69	previous	previous	ADJ
cet-14392	15	70	iteration	iteration	NOUN
cet-14392	15	71	(	(	PUNCT
cet-14392	15	72	querin	querin	PROPN
cet-14392	15	73	et	et	PROPN
cet-14392	15	74	al	al	PROPN
cet-14392	15	75	.	.	PROPN
cet-14392	15	76	,	,	PUNCT
cet-14392	15	77	1998	1998	NUM
cet-14392	15	78	)	)	PUNCT
cet-14392	15	79	,	,	PUNCT
cet-14392	15	80	level	level	NOUN
cet-14392	15	81	-	-	PUNCT
cet-14392	15	82	set	set	VERB
cet-14392	15	83	methods	method	NOUN
cet-14392	15	84	(	(	PUNCT
cet-14392	15	85	sethian	sethian	ADJ
cet-14392	15	86	,	,	PUNCT
cet-14392	15	87	1999	1999	NUM
cet-14392	15	88	)	)	PUNCT
cet-14392	15	89	,	,	PUNCT
cet-14392	15	90	and	and	CCONJ
cet-14392	15	91	moving	move	VERB
cet-14392	15	92	morphable	morphable	ADJ
cet-14392	15	93	component	component	NOUN
cet-14392	15	94	(	(	PUNCT
cet-14392	15	95	mmc	mmc	PROPN
cet-14392	15	96	)	)	PUNCT
cet-14392	15	97	method	method	NOUN
cet-14392	15	98	(	(	PUNCT
cet-14392	15	99	guo	guo	PROPN
cet-14392	15	100	et	et	PROPN
cet-14392	15	101	al	al	PROPN
cet-14392	15	102	.	.	PROPN
cet-14392	15	103	,	,	PUNCT
cet-14392	15	104	2014	2014	NUM
cet-14392	15	105	)	)	PUNCT
cet-14392	15	106	.	.	PUNCT
cet-14392	16	1	as	as	ADP
cet-14392	16	2	a	a	DET
cet-14392	16	3	pioneering	pioneering	ADJ
cet-14392	16	4	numerical	numerical	ADJ
cet-14392	16	5	and	and	CCONJ
cet-14392	16	6	design	design	NOUN
cet-14392	16	7	technique	technique	NOUN
cet-14392	16	8	,	,	PUNCT
cet-14392	16	9	topology	topology	NOUN
cet-14392	16	10	optimization	optimization	NOUN
cet-14392	16	11	has	have	AUX
cet-14392	16	12	undergone	undergo	VERB
cet-14392	16	13	significant	significant	ADJ
cet-14392	16	14	development	development	NOUN
cet-14392	16	15	and	and	CCONJ
cet-14392	16	16	attracted	attract	VERB
cet-14392	16	17	considerable	considerable	ADJ
cet-14392	16	18	scientific	scientific	ADJ
cet-14392	16	19	interest	interest	NOUN
cet-14392	16	20	.	.	PUNCT
cet-14392	17	1	this	this	DET
cet-14392	17	2	potent	potent	ADJ
cet-14392	17	3	instrument	instrument	NOUN
cet-14392	17	4	has	have	AUX
cet-14392	17	5	been	be	AUX
cet-14392	17	6	exhaustively	exhaustively	ADV
cet-14392	17	7	investigated	investigate	VERB
cet-14392	17	8	and	and	CCONJ
cet-14392	17	9	implemented	implement	VERB
cet-14392	17	10	in	in	ADP
cet-14392	17	11	numerous	numerous	ADJ
cet-14392	17	12	problem	problem	NOUN
cet-14392	17	13	domains	domain	NOUN
cet-14392	17	14	,	,	PUNCT
cet-14392	17	15	such	such	ADJ
cet-14392	17	16	as	as	ADP
cet-14392	17	17	topology	topology	NOUN
cet-14392	17	18	optimization	optimization	NOUN
cet-14392	17	19	of	of	ADP
cet-14392	17	20	elasto	elasto	NOUN
cet-14392	17	21	-	-	PUNCT
cet-14392	17	22	plastic	plastic	NOUN
cet-14392	17	23	materials	material	NOUN
cet-14392	17	24	(	(	PUNCT
cet-14392	17	25	movahedi	movahedi	NOUN
cet-14392	17	26	rad	rad	PROPN
cet-14392	17	27	et	et	PROPN
cet-14392	17	28	al	al	PROPN
cet-14392	17	29	.	.	PROPN
cet-14392	17	30	,	,	PUNCT
cet-14392	17	31	2021	2021	NUM
cet-14392	17	32	)	)	PUNCT
cet-14392	17	33	,	,	PUNCT
cet-14392	17	34	geometrically	geometrically	ADV
cet-14392	17	35	nonlinear	nonlinear	ADJ
cet-14392	17	36	problems	problem	NOUN
cet-14392	17	37	(	(	PUNCT
cet-14392	17	38	habashneh	habashneh	NOUN
cet-14392	17	39	and	and	CCONJ
cet-14392	17	40	movahedi	movahedi	PROPN
cet-14392	17	41	rad	rad	PROPN
cet-14392	17	42	,	,	PUNCT
cet-14392	17	43	2022	2022	NUM
cet-14392	17	44	)	)	PUNCT
cet-14392	17	45	and	and	CCONJ
cet-14392	17	46	other	other	ADJ
cet-14392	17	47	developments	development	NOUN
cet-14392	17	48	in	in	ADP
cet-14392	17	49	the	the	DET
cet-14392	17	50	field	field	NOUN
cet-14392	17	51	of	of	ADP
cet-14392	17	52	to	to	ADP
cet-14392	17	53	such	such	ADJ
cet-14392	17	54	as	as	ADP
cet-14392	17	55	considering	consider	VERB
cet-14392	17	56	thermoelastic	thermoelastic	ADJ
cet-14392	17	57	analysis	analysis	NOUN
cet-14392	17	58	(	(	PUNCT
cet-14392	17	59	habashneh	habashneh	NOUN
cet-14392	17	60	and	and	CCONJ
cet-14392	17	61	rad	rad	PROPN
cet-14392	17	62	,	,	PUNCT
cet-14392	17	63	2023	2023	NUM
cet-14392	17	64	)	)	PUNCT
cet-14392	17	65	.	.	PUNCT
cet-14392	18	1	fatigue	fatigue	NOUN
cet-14392	18	2	is	be	AUX
cet-14392	18	3	a	a	DET
cet-14392	18	4	significant	significant	ADJ
cet-14392	18	5	concern	concern	NOUN
cet-14392	18	6	within	within	ADP
cet-14392	18	7	the	the	DET
cet-14392	18	8	field	field	NOUN
cet-14392	18	9	of	of	ADP
cet-14392	18	10	structural	structural	ADJ
cet-14392	18	11	engineering	engineering	NOUN
cet-14392	18	12	,	,	PUNCT
cet-14392	18	13	as	as	SCONJ
cet-14392	18	14	shown	show	VERB
cet-14392	18	15	by	by	ADP
cet-14392	18	16	prior	prior	ADJ
cet-14392	18	17	studies	study	NOUN
cet-14392	18	18	.	.	PUNCT
cet-14392	19	1	an	an	DET
cet-14392	19	2	investigation	investigation	NOUN
cet-14392	19	3	conducted	conduct	VERB
cet-14392	19	4	by	by	ADP
cet-14392	19	5	(	(	PUNCT
cet-14392	19	6	wang	wang	PROPN
cet-14392	19	7	et	et	PROPN
cet-14392	19	8	al	al	PROPN
cet-14392	19	9	.	.	PROPN
cet-14392	19	10	,	,	PUNCT
cet-14392	19	11	2016	2016	NUM
cet-14392	19	12	)	)	PUNCT
cet-14392	19	13	examined	examine	VERB
cet-14392	19	14	the	the	DET
cet-14392	19	15	impact	impact	NOUN
cet-14392	19	16	of	of	ADP
cet-14392	19	17	corrosive	corrosive	ADJ
cet-14392	19	18	deterioration	deterioration	NOUN
cet-14392	19	19	on	on	ADP
cet-14392	19	20	the	the	DET
cet-14392	19	21	structural	structural	ADJ
cet-14392	19	22	integrity	integrity	NOUN
cet-14392	19	23	of	of	ADP
cet-14392	19	24	reinforced	reinforce	VERB
cet-14392	19	25	concrete	concrete	ADJ
cet-14392	19	26	highway	highway	NOUN
cet-14392	19	27	bridges	bridge	NOUN
cet-14392	19	28	.	.	PUNCT
cet-14392	20	1	by	by	ADP
cet-14392	20	2	treating	treat	VERB
cet-14392	20	3	fatigue	fatigue	NOUN
cet-14392	20	4	failure	failure	NOUN
cet-14392	20	5	as	as	ADP
cet-14392	20	6	a	a	DET
cet-14392	20	7	constraint	constraint	NOUN
cet-14392	20	8	in	in	ADP
cet-14392	20	9	the	the	DET
cet-14392	20	10	optimization	optimization	NOUN
cet-14392	20	11	process	process	NOUN
cet-14392	20	12	,	,	PUNCT
cet-14392	20	13	optimal	optimal	ADJ
cet-14392	20	14	designs	design	NOUN
cet-14392	20	15	can	can	AUX
cet-14392	20	16	be	be	AUX
cet-14392	20	17	achieved	achieve	VERB
cet-14392	20	18	,	,	PUNCT
cet-14392	20	19	effectively	effectively	ADV
cet-14392	20	20	addressing	address	VERB
cet-14392	20	21	the	the	DET
cet-14392	20	22	challenges	challenge	NOUN
cet-14392	20	23	posed	pose	VERB
cet-14392	20	24	by	by	ADP
cet-14392	20	25	real	real	ADJ
cet-14392	20	26	-	-	PUNCT
cet-14392	20	27	life	life	NOUN
cet-14392	20	28	applications	application	NOUN
cet-14392	20	29	and	and	CCONJ
cet-14392	20	30	ensuring	ensure	VERB
cet-14392	20	31	the	the	DET
cet-14392	20	32	long	long	ADJ
cet-14392	20	33	-	-	PUNCT
cet-14392	20	34	term	term	NOUN
cet-14392	20	35	structural	structural	ADJ
cet-14392	20	36	integrity	integrity	NOUN
cet-14392	20	37	and	and	CCONJ
cet-14392	20	38	reliability	reliability	NOUN
cet-14392	20	39	of	of	ADP
cet-14392	20	40	engineered	engineer	VERB
cet-14392	20	41	systems	system	NOUN
cet-14392	20	42	(	(	PUNCT
cet-14392	20	43	jeong	jeong	PROPN
cet-14392	20	44	et	et	PROPN
cet-14392	20	45	al	al	PROPN
cet-14392	20	46	.	.	PROPN
cet-14392	20	47	,	,	PUNCT
cet-14392	20	48	2015	2015	NUM
cet-14392	20	49	)	)	PUNCT
cet-14392	20	50	.	.	PUNCT
cet-14392	21	1	in	in	ADP
cet-14392	21	2	light	light	NOUN
cet-14392	21	3	of	of	ADP
cet-14392	21	4	the	the	DET
cet-14392	21	5	growing	grow	VERB
cet-14392	21	6	emphasis	emphasis	NOUN
cet-14392	21	7	on	on	ADP
cet-14392	21	8	sustainability	sustainability	NOUN
cet-14392	21	9	,	,	PUNCT
cet-14392	21	10	it	it	PRON
cet-14392	21	11	is	be	AUX
cet-14392	21	12	imperative	imperative	ADJ
cet-14392	21	13	to	to	PART
cet-14392	21	14	establish	establish	VERB
cet-14392	21	15	a	a	DET
cet-14392	21	16	strong	strong	ADJ
cet-14392	21	17	connection	connection	NOUN
cet-14392	21	18	between	between	ADP
cet-14392	21	19	topology	topology	NOUN
cet-14392	21	20	optimization	optimization	NOUN
cet-14392	21	21	,	,	PUNCT
cet-14392	21	22	fatigue	fatigue	NOUN
cet-14392	21	23	considerations	consideration	NOUN
cet-14392	21	24	,	,	PUNCT
cet-14392	21	25	and	and	CCONJ
cet-14392	21	26	reliable	reliable	ADJ
cet-14392	21	27	design	design	NOUN
cet-14392	21	28	principles	principle	NOUN
cet-14392	21	29	.	.	PUNCT
cet-14392	22	1	(	(	PUNCT
cet-14392	22	2	gao	gao	PROPN
cet-14392	22	3	et	et	PROPN
cet-14392	22	4	al	al	PROPN
cet-14392	22	5	.	.	PROPN
cet-14392	22	6	,	,	PUNCT
cet-14392	22	7	2021	2021	NUM
cet-14392	22	8	)	)	PUNCT
cet-14392	22	9	proposed	propose	VERB
cet-14392	22	10	topological	topological	ADJ
cet-14392	22	11	fatigue	fatigue	NOUN
cet-14392	22	12	optimization	optimization	NOUN
cet-14392	22	13	method	method	NOUN
cet-14392	22	14	,	,	PUNCT
cet-14392	22	15	taking	take	VERB
cet-14392	22	16	into	into	ADP
cet-14392	22	17	account	account	NOUN
cet-14392	22	18	the	the	DET
cet-14392	22	19	effect	effect	NOUN
cet-14392	22	20	of	of	ADP
cet-14392	22	21	defects	defect	NOUN
cet-14392	22	22	on	on	ADP
cet-14392	22	23	fatigue	fatigue	NOUN
cet-14392	22	24	strength	strength	NOUN
cet-14392	22	25	and	and	CCONJ
cet-14392	22	26	integrating	integrate	VERB
cet-14392	22	27	stress	stress	NOUN
cet-14392	22	28	constraints	constraint	NOUN
cet-14392	22	29	.	.	PUNCT
cet-14392	23	1	the	the	DET
cet-14392	23	2	proposed	propose	VERB
cet-14392	23	3	topology	topology	NOUN
cet-14392	23	4	optimization	optimization	NOUN
cet-14392	23	5	approach	approach	NOUN
cet-14392	23	6	by	by	ADP
cet-14392	23	7	(	(	PUNCT
cet-14392	23	8	desmorat	desmorat	NOUN
cet-14392	23	9	and	and	CCONJ
cet-14392	23	10	desmorat	desmorat	PROPN
cet-14392	23	11	,	,	PUNCT
cet-14392	23	12	613	613	NUM
cet-14392	23	13	2008	2008	NUM
cet-14392	23	14	)	)	PUNCT
cet-14392	23	15	,	,	PUNCT
cet-14392	23	16	which	which	PRON
cet-14392	23	17	focuses	focus	VERB
cet-14392	23	18	on	on	ADP
cet-14392	23	19	maximizing	maximize	VERB
cet-14392	23	20	fatigue	fatigue	NOUN
cet-14392	23	21	lifetime	lifetime	NOUN
cet-14392	23	22	through	through	ADP
cet-14392	23	23	optimization	optimization	NOUN
cet-14392	23	24	algorithm	algorithm	NOUN
cet-14392	23	25	considering	consider	VERB
cet-14392	23	26	cyclic	cyclic	ADJ
cet-14392	23	27	plasticity	plasticity	NOUN
cet-14392	23	28	and	and	CCONJ
cet-14392	23	29	the	the	DET
cet-14392	23	30	lemaitre	lemaitre	PROPN
cet-14392	23	31	damage	damage	NOUN
cet-14392	23	32	law	law	NOUN
cet-14392	23	33	,	,	PUNCT
cet-14392	23	34	aligns	align	VERB
cet-14392	23	35	with	with	ADP
cet-14392	23	36	the	the	DET
cet-14392	23	37	objective	objective	NOUN
cet-14392	23	38	of	of	ADP
cet-14392	23	39	reliable	reliable	ADJ
cet-14392	23	40	design	design	NOUN
cet-14392	23	41	.	.	PUNCT
cet-14392	24	1	additionally	additionally	ADV
cet-14392	24	2	,	,	PUNCT
cet-14392	24	3	the	the	DET
cet-14392	24	4	algorithm	algorithm	NOUN
cet-14392	24	5	developed	develop	VERB
cet-14392	24	6	by	by	ADP
cet-14392	24	7	(	(	PUNCT
cet-14392	24	8	nabaki	nabaki	PROPN
cet-14392	24	9	et	et	PROPN
cet-14392	24	10	al	al	PROPN
cet-14392	24	11	.	.	PROPN
cet-14392	24	12	,	,	PUNCT
cet-14392	24	13	2019	2019	NUM
cet-14392	24	14	)	)	PUNCT
cet-14392	24	15	,	,	PUNCT
cet-14392	24	16	specifically	specifically	ADV
cet-14392	24	17	tailored	tailor	VERB
cet-14392	24	18	to	to	PART
cet-14392	24	19	mitigate	mitigate	VERB
cet-14392	24	20	the	the	DET
cet-14392	24	21	risk	risk	NOUN
cet-14392	24	22	of	of	ADP
cet-14392	24	23	high	high	ADJ
cet-14392	24	24	cycle	cycle	NOUN
cet-14392	24	25	fatigue	fatigue	NOUN
cet-14392	24	26	failure	failure	NOUN
cet-14392	24	27	,	,	PUNCT
cet-14392	24	28	offers	offer	VERB
cet-14392	24	29	a	a	DET
cet-14392	24	30	promising	promising	ADJ
cet-14392	24	31	avenue	avenue	NOUN
cet-14392	24	32	for	for	ADP
cet-14392	24	33	integrating	integrate	VERB
cet-14392	24	34	sustainability	sustainability	NOUN
cet-14392	24	35	considerations	consideration	NOUN
cet-14392	24	36	into	into	ADP
cet-14392	24	37	topology	topology	NOUN
cet-14392	24	38	optimization	optimization	NOUN
cet-14392	24	39	practices	practice	NOUN
cet-14392	24	40	.	.	PUNCT
cet-14392	25	1	by	by	ADP
cet-14392	25	2	linking	link	VERB
cet-14392	25	3	these	these	DET
cet-14392	25	4	advancements	advancement	NOUN
cet-14392	25	5	in	in	ADP
cet-14392	25	6	topology	topology	NOUN
cet-14392	25	7	optimization	optimization	NOUN
cet-14392	25	8	with	with	ADP
cet-14392	25	9	sustainability	sustainability	NOUN
cet-14392	25	10	principles	principle	NOUN
cet-14392	25	11	,	,	PUNCT
cet-14392	25	12	engineers	engineer	NOUN
cet-14392	25	13	and	and	CCONJ
cet-14392	25	14	designers	designer	NOUN
cet-14392	25	15	can	can	AUX
cet-14392	25	16	foster	foster	VERB
cet-14392	25	17	the	the	DET
cet-14392	25	18	development	development	NOUN
cet-14392	25	19	of	of	ADP
cet-14392	25	20	structurally	structurally	ADV
cet-14392	25	21	robust	robust	ADJ
cet-14392	25	22	,	,	PUNCT
cet-14392	25	23	fatigue	fatigue	NOUN
cet-14392	25	24	-	-	PUNCT
cet-14392	25	25	resistant	resistant	ADJ
cet-14392	25	26	,	,	PUNCT
cet-14392	25	27	and	and	CCONJ
cet-14392	25	28	environmentally	environmentally	ADV
cet-14392	25	29	responsible	responsible	ADJ
cet-14392	25	30	solutions	solution	NOUN
cet-14392	25	31	for	for	ADP
cet-14392	25	32	a	a	DET
cet-14392	25	33	wide	wide	ADJ
cet-14392	25	34	range	range	NOUN
cet-14392	25	35	of	of	ADP
cet-14392	25	36	applications	application	NOUN
cet-14392	25	37	.	.	PUNCT
cet-14392	26	1	this	this	DET
cet-14392	26	2	study	study	NOUN
cet-14392	26	3	serves	serve	VERB
cet-14392	26	4	as	as	ADP
cet-14392	26	5	an	an	DET
cet-14392	26	6	extension	extension	NOUN
cet-14392	26	7	of	of	ADP
cet-14392	26	8	the	the	DET
cet-14392	26	9	authors	author	NOUN
cet-14392	26	10	'	'	PART
cet-14392	26	11	previous	previous	ADJ
cet-14392	26	12	work	work	NOUN
cet-14392	26	13	,	,	PUNCT
cet-14392	26	14	where	where	SCONJ
cet-14392	26	15	they	they	PRON
cet-14392	26	16	successfully	successfully	ADV
cet-14392	26	17	addressed	address	VERB
cet-14392	26	18	various	various	ADJ
cet-14392	26	19	aspects	aspect	NOUN
cet-14392	26	20	of	of	ADP
cet-14392	26	21	topology	topology	NOUN
cet-14392	26	22	optimization	optimization	NOUN
cet-14392	26	23	,	,	PUNCT
cet-14392	26	24	including	include	VERB
cet-14392	26	25	stiffness	stiffness	ADJ
cet-14392	26	26	optimization	optimization	NOUN
cet-14392	26	27	and	and	CCONJ
cet-14392	26	28	other	other	ADJ
cet-14392	26	29	relevant	relevant	ADJ
cet-14392	26	30	considerations	consideration	NOUN
cet-14392	26	31	(	(	PUNCT
cet-14392	26	32	movahedi	movahedi	NOUN
cet-14392	26	33	rad	rad	PROPN
cet-14392	26	34	et	et	PROPN
cet-14392	26	35	al	al	PROPN
cet-14392	26	36	.	.	PROPN
cet-14392	26	37	,	,	PUNCT
cet-14392	26	38	2021	2021	NUM
cet-14392	26	39	)	)	PUNCT
cet-14392	26	40	.	.	PUNCT
cet-14392	27	1	therefore	therefore	ADV
cet-14392	27	2	,	,	PUNCT
cet-14392	27	3	the	the	DET
cet-14392	27	4	current	current	ADJ
cet-14392	27	5	study	study	NOUN
cet-14392	27	6	aims	aim	VERB
cet-14392	27	7	to	to	PART
cet-14392	27	8	develop	develop	VERB
cet-14392	27	9	a	a	DET
cet-14392	27	10	structural	structural	ADJ
cet-14392	27	11	optimization	optimization	NOUN
cet-14392	27	12	algorithm	algorithm	NOUN
cet-14392	27	13	that	that	PRON
cet-14392	27	14	specifically	specifically	ADV
cet-14392	27	15	incorporates	incorporate	VERB
cet-14392	27	16	fatigue	fatigue	NOUN
cet-14392	27	17	failure	failure	NOUN
cet-14392	27	18	as	as	ADP
cet-14392	27	19	a	a	DET
cet-14392	27	20	critical	critical	ADJ
cet-14392	27	21	constraint	constraint	NOUN
cet-14392	27	22	besides	besides	SCONJ
cet-14392	27	23	the	the	DET
cet-14392	27	24	volume	volume	NOUN
cet-14392	27	25	constraint	constraint	NOUN
cet-14392	27	26	.	.	PUNCT
cet-14392	28	1	to	to	PART
cet-14392	28	2	accomplish	accomplish	VERB
cet-14392	28	3	this	this	DET
cet-14392	28	4	objective	objective	NOUN
cet-14392	28	5	,	,	PUNCT
cet-14392	28	6	the	the	DET
cet-14392	28	7	developed	develop	VERB
cet-14392	28	8	beso	beso	NOUN
cet-14392	28	9	method	method	NOUN
cet-14392	28	10	is	be	AUX
cet-14392	28	11	utilized	utilize	VERB
cet-14392	28	12	within	within	ADP
cet-14392	28	13	the	the	DET
cet-14392	28	14	topology	topology	NOUN
cet-14392	28	15	optimization	optimization	NOUN
cet-14392	28	16	process	process	NOUN
cet-14392	28	17	.	.	PUNCT
cet-14392	29	1	two	two	NUM
cet-14392	29	2	numerical	numerical	ADJ
cet-14392	29	3	examples	example	NOUN
cet-14392	29	4	of	of	ADP
cet-14392	29	5	lshape	lshape	NOUN
cet-14392	29	6	and	and	CCONJ
cet-14392	29	7	u	u	NOUN
cet-14392	29	8	-	-	NOUN
cet-14392	29	9	plate	plate	NOUN
cet-14392	29	10	problems	problem	NOUN
cet-14392	29	11	are	be	AUX
cet-14392	29	12	solved	solve	VERB
cet-14392	29	13	to	to	PART
cet-14392	29	14	show	show	VERB
cet-14392	29	15	the	the	DET
cet-14392	29	16	efficiency	efficiency	NOUN
cet-14392	29	17	of	of	ADP
cet-14392	29	18	the	the	DET
cet-14392	29	19	proposed	propose	VERB
cet-14392	29	20	methodology	methodology	NOUN
cet-14392	29	21	.	.	PUNCT
cet-14392	30	1	2	2	X
cet-14392	30	2	.	.	X
cet-14392	30	3	theoretical	theoretical	ADJ
cet-14392	30	4	background	background	NOUN
cet-14392	30	5	2.1	2.1	NUM
cet-14392	30	6	fatigue	fatigue	NOUN
cet-14392	30	7	analysis	analysis	NOUN
cet-14392	30	8	in	in	ADP
cet-14392	30	9	this	this	DET
cet-14392	30	10	study	study	NOUN
cet-14392	30	11	,	,	PUNCT
cet-14392	30	12	our	our	PRON
cet-14392	30	13	focus	focus	NOUN
cet-14392	30	14	is	be	AUX
cet-14392	30	15	on	on	ADP
cet-14392	30	16	the	the	DET
cet-14392	30	17	fatigue	fatigue	NOUN
cet-14392	30	18	damage	damage	NOUN
cet-14392	30	19	caused	cause	VERB
cet-14392	30	20	by	by	ADP
cet-14392	30	21	cyclic	cyclic	ADJ
cet-14392	30	22	loadings	loading	NOUN
cet-14392	30	23	without	without	ADP
cet-14392	30	24	considering	consider	VERB
cet-14392	30	25	crack	crack	NOUN
cet-14392	30	26	propagation	propagation	NOUN
cet-14392	30	27	.	.	PUNCT
cet-14392	31	1	while	while	SCONJ
cet-14392	31	2	our	our	PRON
cet-14392	31	3	primary	primary	ADJ
cet-14392	31	4	objective	objective	NOUN
cet-14392	31	5	is	be	AUX
cet-14392	31	6	not	not	PART
cet-14392	31	7	to	to	PART
cet-14392	31	8	model	model	VERB
cet-14392	31	9	crack	crack	NOUN
cet-14392	31	10	propagation	propagation	NOUN
cet-14392	31	11	explicitly	explicitly	ADV
cet-14392	31	12	,	,	PUNCT
cet-14392	31	13	we	we	PRON
cet-14392	31	14	capture	capture	VERB
cet-14392	31	15	the	the	DET
cet-14392	31	16	cumulative	cumulative	ADJ
cet-14392	31	17	effect	effect	NOUN
cet-14392	31	18	of	of	ADP
cet-14392	31	19	these	these	DET
cet-14392	31	20	cyclic	cyclic	ADJ
cet-14392	31	21	loadings	loading	NOUN
cet-14392	31	22	through	through	ADP
cet-14392	31	23	a	a	DET
cet-14392	31	24	scalar	scalar	ADJ
cet-14392	31	25	stress	stress	NOUN
cet-14392	31	26	state	state	NOUN
cet-14392	31	27	coefficient	coefficient	NOUN
cet-14392	31	28	.	.	PUNCT
cet-14392	32	1	as	as	ADP
cet-14392	32	2	a	a	DET
cet-14392	32	3	result	result	NOUN
cet-14392	32	4	,	,	PUNCT
cet-14392	32	5	the	the	DET
cet-14392	32	6	stress	stress	NOUN
cet-14392	32	7	state	state	NOUN
cet-14392	32	8	at	at	ADP
cet-14392	32	9	every	every	DET
cet-14392	32	10	location	location	NOUN
cet-14392	32	11	in	in	ADP
cet-14392	32	12	the	the	DET
cet-14392	32	13	structure	structure	NOUN
cet-14392	32	14	and	and	CCONJ
cet-14392	32	15	at	at	ADP
cet-14392	32	16	any	any	DET
cet-14392	32	17	point	point	NOUN
cet-14392	32	18	in	in	ADP
cet-14392	32	19	the	the	DET
cet-14392	32	20	cyclic	cyclic	ADJ
cet-14392	32	21	loading	loading	NOUN
cet-14392	32	22	may	may	AUX
cet-14392	32	23	be	be	AUX
cet-14392	32	24	determined	determine	VERB
cet-14392	32	25	as	as	ADP
cet-14392	32	26	a	a	DET
cet-14392	32	27	scalar	scalar	ADJ
cet-14392	32	28	factor	factor	NOUN
cet-14392	32	29	of	of	ADP
cet-14392	32	30	the	the	DET
cet-14392	32	31	stress	stress	NOUN
cet-14392	32	32	state	state	NOUN
cet-14392	32	33	corresponding	correspond	VERB
cet-14392	32	34	to	to	ADP
cet-14392	32	35	the	the	DET
cet-14392	32	36	reference	reference	NOUN
cet-14392	32	37	loading	loading	NOUN
cet-14392	32	38	.	.	PUNCT
cet-14392	33	1	using	use	VERB
cet-14392	33	2	basquin	basquin	NOUN
cet-14392	33	3	's	's	PART
cet-14392	33	4	equation	equation	NOUN
cet-14392	33	5	,	,	PUNCT
cet-14392	33	6	the	the	DET
cet-14392	33	7	number	number	NOUN
cet-14392	33	8	of	of	ADP
cet-14392	33	9	cycles	cycle	NOUN
cet-14392	33	10	until	until	SCONJ
cet-14392	33	11	failure	failure	NOUN
cet-14392	33	12	at	at	ADP
cet-14392	33	13	various	various	ADJ
cet-14392	33	14	effective	effective	ADJ
cet-14392	33	15	stress	stress	NOUN
cet-14392	33	16	amplitudes	amplitude	NOUN
cet-14392	33	17	is	be	AUX
cet-14392	33	18	calculated	calculate	VERB
cet-14392	33	19	(	(	PUNCT
cet-14392	33	20	dowling	dowle	VERB
cet-14392	33	21	,	,	PUNCT
cet-14392	33	22	2004	2004	NUM
cet-14392	33	23	)	)	PUNCT
cet-14392	33	24	.	.	PUNCT
cet-14392	34	1	the	the	DET
cet-14392	34	2	cumulative	cumulative	ADJ
cet-14392	34	3	damage	damage	NOUN
cet-14392	34	4	from	from	ADP
cet-14392	34	5	the	the	DET
cet-14392	34	6	loading	loading	NOUN
cet-14392	34	7	history	history	NOUN
cet-14392	34	8	's	's	PART
cet-14392	34	9	stress	stress	NOUN
cet-14392	34	10	reversals	reversal	NOUN
cet-14392	34	11	is	be	AUX
cet-14392	34	12	then	then	ADV
cet-14392	34	13	calculated	calculate	VERB
cet-14392	34	14	linearly	linearly	ADV
cet-14392	34	15	using	use	VERB
cet-14392	34	16	palmgren	palmgren	NOUN
cet-14392	34	17	-	-	PUNCT
cet-14392	34	18	miner	miner	NOUN
cet-14392	34	19	's	's	PART
cet-14392	34	20	rule	rule	NOUN
cet-14392	34	21	.	.	PUNCT
cet-14392	35	1	basquin	basquin	NOUN
cet-14392	35	2	's	's	PART
cet-14392	35	3	equation	equation	NOUN
cet-14392	35	4	gives	give	VERB
cet-14392	35	5	the	the	DET
cet-14392	35	6	number	number	NOUN
cet-14392	35	7	of	of	ADP
cet-14392	35	8	cycles	cycle	NOUN
cet-14392	35	9	𝑁𝑓𝑖	𝑁𝑓𝑖	PROPN
cet-14392	35	10	before	before	ADP
cet-14392	35	11	failure	failure	NOUN
cet-14392	35	12	due	due	ADJ
cet-14392	35	13	to	to	ADP
cet-14392	35	14	repeated	repeat	VERB
cet-14392	35	15	applications	application	NOUN
cet-14392	35	16	of	of	ADP
cet-14392	35	17	reversal	reversal	NOUN
cet-14392	35	18	𝑖	𝑖	ADP
cet-14392	35	19	as	as	ADP
cet-14392	35	20	:	:	PUNCT
cet-14392	35	21	𝑁𝑓𝑖	𝑁𝑓𝑖	PROPN
cet-14392	35	22	(	(	PUNCT
cet-14392	35	23	𝑥	𝑥	NOUN
cet-14392	35	24	)	)	PUNCT
cet-14392	35	25	=	=	SYM
cet-14392	35	26	1	1	NUM
cet-14392	35	27	2	2	NUM
cet-14392	35	28	(	(	PUNCT
cet-14392	35	29	𝜎𝑎𝑟𝑖	𝜎𝑎𝑟𝑖	NOUN
cet-14392	35	30	𝜎𝑓	𝜎𝑓	PROPN
cet-14392	35	31	′	′	NUM
cet-14392	35	32	)	)	PUNCT
cet-14392	35	33	1	1	NUM
cet-14392	35	34	𝑏	𝑏	NOUN
cet-14392	35	35	(	(	PUNCT
cet-14392	35	36	1	1	NUM
cet-14392	35	37	)	)	PUNCT
cet-14392	35	38	where	where	SCONJ
cet-14392	35	39	𝜎𝑎𝑟𝑖	𝜎𝑎𝑟𝑖	NOUN
cet-14392	35	40	is	be	AUX
cet-14392	35	41	the	the	DET
cet-14392	35	42	completely	completely	ADV
cet-14392	35	43	reversed	reverse	VERB
cet-14392	35	44	equivalent	equivalent	ADJ
cet-14392	35	45	stress	stress	NOUN
cet-14392	35	46	amplitude	amplitude	NOUN
cet-14392	35	47	,	,	PUNCT
cet-14392	35	48	𝜎𝑓	𝜎𝑓	PROPN
cet-14392	35	49	′	′	PROPN
cet-14392	35	50	is	be	AUX
cet-14392	35	51	the	the	DET
cet-14392	35	52	coefficient	coefficient	NOUN
cet-14392	35	53	of	of	ADP
cet-14392	35	54	material	material	NOUN
cet-14392	35	55	’s	’s	PART
cet-14392	35	56	fatigue	fatigue	NOUN
cet-14392	35	57	strength	strength	NOUN
cet-14392	35	58	,	,	PUNCT
cet-14392	35	59	𝑏	𝑏	PROPN
cet-14392	35	60	is	be	AUX
cet-14392	35	61	the	the	DET
cet-14392	35	62	exponent	exponent	NOUN
cet-14392	35	63	of	of	ADP
cet-14392	35	64	material	material	NOUN
cet-14392	35	65	’s	’s	PART
cet-14392	35	66	fatigue	fatigue	NOUN
cet-14392	35	67	strength	strength	NOUN
cet-14392	35	68	.	.	PUNCT
cet-14392	36	1	using	use	VERB
cet-14392	36	2	palmgren	palmgren	NOUN
cet-14392	36	3	-	-	PUNCT
cet-14392	36	4	miner	miner	NOUN
cet-14392	36	5	's	's	PART
cet-14392	36	6	rule	rule	NOUN
cet-14392	36	7	,	,	PUNCT
cet-14392	36	8	the	the	DET
cet-14392	36	9	accumulated	accumulate	VERB
cet-14392	36	10	fatigue	fatigue	NOUN
cet-14392	36	11	at	at	ADP
cet-14392	36	12	a	a	DET
cet-14392	36	13	position	position	NOUN
cet-14392	36	14	is	be	AUX
cet-14392	36	15	calculated	calculate	VERB
cet-14392	36	16	as	as	ADP
cet-14392	36	17	the	the	DET
cet-14392	36	18	sum	sum	NOUN
cet-14392	36	19	of	of	ADP
cet-14392	36	20	the	the	DET
cet-14392	36	21	harm	harm	NOUN
cet-14392	36	22	inflicted	inflict	VERB
cet-14392	36	23	at	at	ADP
cet-14392	36	24	that	that	DET
cet-14392	36	25	position	position	NOUN
cet-14392	36	26	by	by	ADP
cet-14392	36	27	every	every	DET
cet-14392	36	28	reversal	reversal	NOUN
cet-14392	36	29	.	.	PUNCT
cet-14392	37	1	𝐷(𝑥	𝐷(𝑥	X
cet-14392	37	2	)	)	PUNCT
cet-14392	37	3	=	=	PUNCT
cet-14392	37	4	∑	∑	PUNCT
cet-14392	37	5	𝑛𝑖	𝑛𝑖	PROPN
cet-14392	37	6	𝑁𝑓𝑖	𝑁𝑓𝑖	PROPN
cet-14392	37	7	(	(	PUNCT
cet-14392	37	8	𝑥	𝑥	NOUN
cet-14392	37	9	)	)	PUNCT
cet-14392	37	10	𝑁𝑟	𝑁𝑟	PROPN
cet-14392	37	11	𝑖=1	𝑖=1	PROPN
cet-14392	37	12	(	(	PUNCT
cet-14392	37	13	2	2	NUM
cet-14392	37	14	)	)	PUNCT
cet-14392	37	15	here	here	ADV
cet-14392	38	1	,	,	PUNCT
cet-14392	38	2	we	we	PRON
cet-14392	38	3	define	define	VERB
cet-14392	38	4	𝑛𝑖	𝑛𝑖	PRON
cet-14392	38	5	as	as	ADP
cet-14392	38	6	the	the	DET
cet-14392	38	7	count	count	NOUN
cet-14392	38	8	of	of	ADP
cet-14392	38	9	occurrences	occurrence	NOUN
cet-14392	38	10	of	of	ADP
cet-14392	38	11	reversals	reversal	NOUN
cet-14392	38	12	during	during	ADP
cet-14392	38	13	the	the	DET
cet-14392	38	14	cyclic	cyclic	ADJ
cet-14392	38	15	loading	loading	NOUN
cet-14392	38	16	,	,	PUNCT
cet-14392	38	17	while	while	SCONJ
cet-14392	38	18	𝑁𝑟	𝑁𝑟	PROPN
cet-14392	38	19	represents	represent	VERB
cet-14392	38	20	the	the	DET
cet-14392	38	21	overall	overall	ADJ
cet-14392	38	22	count	count	NOUN
cet-14392	38	23	of	of	ADP
cet-14392	38	24	reversals	reversal	NOUN
cet-14392	38	25	throughout	throughout	ADP
cet-14392	38	26	the	the	DET
cet-14392	38	27	loading	loading	NOUN
cet-14392	38	28	process	process	NOUN
cet-14392	38	29	.	.	PUNCT
cet-14392	39	1	2.2	2.2	NUM
cet-14392	39	2	definition	definition	NOUN
cet-14392	39	3	of	of	ADP
cet-14392	39	4	the	the	DET
cet-14392	39	5	topology	topology	NOUN
cet-14392	39	6	optimization	optimization	NOUN
cet-14392	39	7	problem	problem	NOUN
cet-14392	39	8	this	this	DET
cet-14392	39	9	section	section	NOUN
cet-14392	39	10	focuses	focus	VERB
cet-14392	39	11	on	on	ADP
cet-14392	39	12	the	the	DET
cet-14392	39	13	analysis	analysis	NOUN
cet-14392	39	14	of	of	ADP
cet-14392	39	15	a	a	DET
cet-14392	39	16	topology	topology	NOUN
cet-14392	39	17	optimization	optimization	NOUN
cet-14392	39	18	problem	problem	NOUN
cet-14392	39	19	aimed	aim	VERB
cet-14392	39	20	at	at	ADP
cet-14392	39	21	minimizing	minimize	VERB
cet-14392	39	22	the	the	DET
cet-14392	39	23	mean	mean	ADJ
cet-14392	39	24	compliance	compliance	NOUN
cet-14392	39	25	while	while	SCONJ
cet-14392	39	26	integrating	integrate	VERB
cet-14392	39	27	constraints	constraint	NOUN
cet-14392	39	28	,	,	PUNCT
cet-14392	39	29	including	include	VERB
cet-14392	39	30	fatigue	fatigue	NOUN
cet-14392	39	31	and	and	CCONJ
cet-14392	39	32	volume	volume	NOUN
cet-14392	39	33	.	.	PUNCT
cet-14392	40	1	𝑀𝑖𝑛𝑖𝑚𝑖𝑧𝑒	𝑀𝑖𝑛𝑖𝑚𝑖𝑧𝑒	PROPN
cet-14392	40	2	:	:	PUNCT
cet-14392	40	3	𝐶	𝐶	PROPN
cet-14392	40	4	=	=	SYM
cet-14392	40	5	𝑢𝑇𝐾𝑢	𝑢𝑇𝐾𝑢	X
cet-14392	40	6	(	(	PUNCT
cet-14392	40	7	3.a	3.a	NUM
cet-14392	40	8	)	)	PUNCT
cet-14392	41	1	𝑆𝑢𝑏𝑗𝑒𝑐𝑡	𝑆𝑢𝑏𝑗𝑒𝑐𝑡	PROPN
cet-14392	41	2	𝑡𝑜	𝑡𝑜	PROPN
cet-14392	41	3	:	:	PUNCT
cet-14392	41	4	𝑉∗	𝑉∗	NOUN
cet-14392	41	5	−	−	NOUN
cet-14392	41	6	∑	∑	PROPN
cet-14392	41	7	𝑉𝑖𝑥𝑖	𝑉𝑖𝑥𝑖	PROPN
cet-14392	41	8	𝑁	𝑁	PROPN
cet-14392	41	9	𝑖=1	𝑖=1	PUNCT
cet-14392	41	10	=	=	SYM
cet-14392	41	11	0	0	NUM
cet-14392	41	12	(	(	PUNCT
cet-14392	41	13	3.b	3.b	NUM
cet-14392	41	14	)	)	PUNCT
cet-14392	41	15	𝑉∗	𝑉∗	NOUN
cet-14392	41	16	𝑉0	𝑉0	NOUN
cet-14392	41	17	−	−	PROPN
cet-14392	41	18	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	41	19	≤	≤	PROPN
cet-14392	41	20	0	0	NUM
cet-14392	42	1	(	(	PUNCT
cet-14392	42	2	3.c	3.c	NUM
cet-14392	42	3	)	)	PUNCT
cet-14392	42	4	𝐷(𝑥	𝐷(𝑥	NUM
cet-14392	42	5	)	)	PUNCT
cet-14392	42	6	−	−	PROPN
cet-14392	42	7	∑	∑	PUNCT
cet-14392	42	8	𝑛𝑖	𝑛𝑖	PROPN
cet-14392	42	9	𝑁𝑓𝑖	𝑁𝑓𝑖	PROPN
cet-14392	42	10	(	(	PUNCT
cet-14392	42	11	𝑥	𝑥	NOUN
cet-14392	42	12	)	)	PUNCT
cet-14392	42	13	𝑁𝑟	𝑁𝑟	PROPN
cet-14392	42	14	𝑖=1	𝑖=1	PUNCT
cet-14392	42	15	=	=	SYM
cet-14392	42	16	0	0	NUM
cet-14392	42	17	(	(	PUNCT
cet-14392	42	18	3.d	3.d	NUM
cet-14392	42	19	)	)	PUNCT
cet-14392	42	20	𝑥𝑖	𝑥𝑖	ADP
cet-14392	42	21	∈	∈	PROPN
cet-14392	42	22	{	{	PUNCT
cet-14392	42	23	0,1	0,1	NOUN
cet-14392	42	24	}	}	PUNCT
cet-14392	42	25	(	(	PUNCT
cet-14392	42	26	3.e	3.e	NUM
cet-14392	42	27	)	)	PUNCT
cet-14392	43	1	the	the	DET
cet-14392	43	2	topology	topology	NOUN
cet-14392	43	3	optimization	optimization	NOUN
cet-14392	43	4	problem	problem	NOUN
cet-14392	43	5	aims	aim	VERB
cet-14392	43	6	to	to	PART
cet-14392	43	7	minimize	minimize	VERB
cet-14392	43	8	the	the	DET
cet-14392	43	9	mean	mean	ADJ
cet-14392	43	10	compliance	compliance	NOUN
cet-14392	43	11	(	(	PUNCT
cet-14392	43	12	𝐶	𝐶	PROPN
cet-14392	43	13	)	)	PUNCT
cet-14392	43	14	while	while	SCONJ
cet-14392	43	15	incorporating	incorporate	VERB
cet-14392	43	16	constraints	constraint	NOUN
cet-14392	43	17	related	relate	VERB
cet-14392	43	18	to	to	ADP
cet-14392	43	19	volume	volume	NOUN
cet-14392	43	20	and	and	CCONJ
cet-14392	43	21	fatigue	fatigue	NOUN
cet-14392	43	22	.	.	PUNCT
cet-14392	44	1	the	the	DET
cet-14392	44	2	mean	mean	ADJ
cet-14392	44	3	compliance	compliance	NOUN
cet-14392	44	4	depends	depend	VERB
cet-14392	44	5	on	on	ADP
cet-14392	44	6	several	several	ADJ
cet-14392	44	7	factors	factor	NOUN
cet-14392	44	8	,	,	PUNCT
cet-14392	44	9	such	such	ADJ
cet-14392	44	10	as	as	ADP
cet-14392	44	11	displacement	displacement	ADJ
cet-14392	44	12	vectors	vector	NOUN
cet-14392	44	13	(	(	PUNCT
cet-14392	44	14	𝑢	𝑢	NOUN
cet-14392	44	15	)	)	PUNCT
cet-14392	44	16	,	,	PUNCT
cet-14392	44	17	and	and	CCONJ
cet-14392	44	18	the	the	DET
cet-14392	44	19	overall	overall	ADJ
cet-14392	44	20	stiffness	stiffness	ADJ
cet-14392	44	21	matrix	matrix	NOUN
cet-14392	44	22	(	(	PUNCT
cet-14392	44	23	𝐾	𝐾	PROPN
cet-14392	44	24	)	)	PUNCT
cet-14392	44	25	,	,	PUNCT
cet-14392	44	26	which	which	PRON
cet-14392	44	27	are	be	AUX
cet-14392	44	28	crucial	crucial	ADJ
cet-14392	44	29	in	in	ADP
cet-14392	44	30	determining	determine	VERB
cet-14392	44	31	the	the	DET
cet-14392	44	32	compliance	compliance	NOUN
cet-14392	44	33	.	.	PUNCT
cet-14392	45	1	to	to	PART
cet-14392	45	2	provide	provide	VERB
cet-14392	45	3	further	further	ADJ
cet-14392	45	4	clarification	clarification	NOUN
cet-14392	45	5	,	,	PUNCT
cet-14392	45	6	𝑁	𝑁	PROPN
cet-14392	45	7	represents	represent	VERB
cet-14392	45	8	the	the	DET
cet-14392	45	9	total	total	ADJ
cet-14392	45	10	number	number	NOUN
cet-14392	45	11	of	of	ADP
cet-14392	45	12	elements	element	NOUN
cet-14392	45	13	,	,	PUNCT
cet-14392	45	14	𝑉𝑖	𝑉𝑖	PROPN
cet-14392	45	15	signifies	signify	VERB
cet-14392	45	16	the	the	DET
cet-14392	45	17	volume	volume	NOUN
cet-14392	45	18	of	of	ADP
cet-14392	45	19	an	an	DET
cet-14392	45	20	individual	individual	ADJ
cet-14392	45	21	element	element	NOUN
cet-14392	45	22	,	,	PUNCT
cet-14392	45	23	and	and	CCONJ
cet-14392	45	24	𝑉∗	𝑉∗	NOUN
cet-14392	45	25	denotes	denote	NOUN
cet-14392	45	26	the	the	DET
cet-14392	45	27	approved	approve	VERB
cet-14392	45	28	volume	volume	NOUN
cet-14392	45	29	of	of	ADP
cet-14392	45	30	the	the	DET
cet-14392	45	31	entire	entire	ADJ
cet-14392	45	32	structure	structure	NOUN
cet-14392	45	33	.	.	PUNCT
cet-14392	46	1	furthermore	furthermore	ADV
cet-14392	46	2	,	,	PUNCT
cet-14392	46	3	the	the	DET
cet-14392	46	4	binary	binary	ADJ
cet-14392	46	5	design	design	PROPN
cet-14392	46	6	variable	variable	NOUN
cet-14392	46	7	𝑥𝑖	𝑥𝑖	PROPN
cet-14392	46	8	indicates	indicate	VERB
cet-14392	46	9	whether	whether	SCONJ
cet-14392	46	10	an	an	DET
cet-14392	46	11	element	element	NOUN
cet-14392	46	12	is	be	AUX
cet-14392	46	13	present	present	ADJ
cet-14392	46	14	(	(	PUNCT
cet-14392	46	15	1	1	NUM
cet-14392	46	16	)	)	PUNCT
cet-14392	46	17	or	or	CCONJ
cet-14392	46	18	absent	absent	ADJ
cet-14392	46	19	(	(	PUNCT
cet-14392	46	20	0	0	NUM
cet-14392	46	21	)	)	PUNCT
cet-14392	46	22	in	in	ADP
cet-14392	46	23	the	the	DET
cet-14392	46	24	design	design	NOUN
cet-14392	46	25	.	.	PUNCT
cet-14392	47	1	the	the	DET
cet-14392	47	2	total	total	ADJ
cet-14392	47	3	volume	volume	NOUN
cet-14392	47	4	of	of	ADP
cet-14392	47	5	the	the	DET
cet-14392	47	6	design	design	NOUN
cet-14392	47	7	domain	domain	NOUN
cet-14392	47	8	is	be	AUX
cet-14392	47	9	denoted	denote	VERB
cet-14392	47	10	614	614	NUM
cet-14392	47	11	as	as	ADP
cet-14392	47	12	𝑉0	𝑉0	NOUN
cet-14392	47	13	,	,	PUNCT
cet-14392	47	14	and	and	CCONJ
cet-14392	47	15	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	47	16	stands	stand	VERB
cet-14392	47	17	for	for	ADP
cet-14392	47	18	the	the	DET
cet-14392	47	19	volume	volume	NOUN
cet-14392	47	20	fraction	fraction	NOUN
cet-14392	47	21	ratio	ratio	NOUN
cet-14392	47	22	,	,	PUNCT
cet-14392	47	23	indicating	indicate	VERB
cet-14392	47	24	the	the	DET
cet-14392	47	25	proportion	proportion	NOUN
cet-14392	47	26	of	of	ADP
cet-14392	47	27	volume	volume	NOUN
cet-14392	47	28	occupied	occupy	VERB
cet-14392	47	29	in	in	ADP
cet-14392	47	30	the	the	DET
cet-14392	47	31	optimized	optimize	VERB
cet-14392	47	32	design	design	NOUN
cet-14392	47	33	.	.	PUNCT
cet-14392	48	1	it	it	PRON
cet-14392	48	2	is	be	AUX
cet-14392	48	3	important	important	ADJ
cet-14392	48	4	to	to	PART
cet-14392	48	5	mention	mention	VERB
cet-14392	48	6	that	that	SCONJ
cet-14392	48	7	eq(3.d	eq(3.d	NOUN
cet-14392	48	8	)	)	PUNCT
cet-14392	48	9	represents	represent	VERB
cet-14392	48	10	the	the	DET
cet-14392	48	11	constraint	constraint	NOUN
cet-14392	48	12	related	relate	VERB
cet-14392	48	13	to	to	ADP
cet-14392	48	14	fatigue	fatigue	NOUN
cet-14392	48	15	safety	safety	NOUN
cet-14392	48	16	.	.	PUNCT
cet-14392	49	1	it	it	PRON
cet-14392	49	2	ensures	ensure	VERB
cet-14392	49	3	that	that	SCONJ
cet-14392	49	4	the	the	DET
cet-14392	49	5	accumulated	accumulate	VERB
cet-14392	49	6	fatigue	fatigue	NOUN
cet-14392	49	7	damage	damage	NOUN
cet-14392	49	8	does	do	AUX
cet-14392	49	9	not	not	PART
cet-14392	49	10	exceed	exceed	VERB
cet-14392	49	11	allowable	allowable	ADJ
cet-14392	49	12	limits	limit	NOUN
cet-14392	49	13	.	.	PUNCT
cet-14392	50	1	otherwise	otherwise	ADV
cet-14392	50	2	,	,	PUNCT
cet-14392	50	3	the	the	DET
cet-14392	50	4	alternating	alternate	VERB
cet-14392	50	5	stress	stress	NOUN
cet-14392	50	6	would	would	AUX
cet-14392	50	7	be	be	AUX
cet-14392	50	8	negative	negative	ADJ
cet-14392	50	9	,	,	PUNCT
cet-14392	50	10	leading	lead	VERB
cet-14392	50	11	to	to	ADP
cet-14392	50	12	undesirable	undesirable	ADJ
cet-14392	50	13	outcomes	outcome	NOUN
cet-14392	50	14	.	.	PUNCT
cet-14392	51	1	moreover	moreover	ADV
cet-14392	51	2	,	,	PUNCT
cet-14392	51	3	it	it	PRON
cet-14392	51	4	is	be	AUX
cet-14392	51	5	crucial	crucial	ADJ
cet-14392	51	6	to	to	PART
cet-14392	51	7	avoid	avoid	VERB
cet-14392	51	8	stresses	stress	NOUN
cet-14392	51	9	that	that	PRON
cet-14392	51	10	are	be	AUX
cet-14392	51	11	high	high	ADJ
cet-14392	51	12	enough	enough	ADV
cet-14392	51	13	to	to	PART
cet-14392	51	14	induce	induce	VERB
cet-14392	51	15	plastic	plastic	ADJ
cet-14392	51	16	deformation	deformation	NOUN
cet-14392	51	17	,	,	PUNCT
cet-14392	51	18	as	as	SCONJ
cet-14392	51	19	this	this	PRON
cet-14392	51	20	renders	render	VERB
cet-14392	51	21	the	the	DET
cet-14392	51	22	high	high	ADJ
cet-14392	51	23	-	-	PUNCT
cet-14392	51	24	cycle	cycle	NOUN
cet-14392	51	25	fatigue	fatigue	NOUN
cet-14392	51	26	model	model	NOUN
cet-14392	51	27	ineffective	ineffective	ADJ
cet-14392	51	28	.	.	PUNCT
cet-14392	52	1	it	it	PRON
cet-14392	52	2	should	should	AUX
cet-14392	52	3	be	be	AUX
cet-14392	52	4	mentioned	mention	VERB
cet-14392	52	5	that	that	SCONJ
cet-14392	52	6	the	the	DET
cet-14392	52	7	beso	beso	NOUN
cet-14392	52	8	method	method	NOUN
cet-14392	52	9	achieves	achieve	VERB
cet-14392	52	10	the	the	DET
cet-14392	52	11	optimal	optimal	ADJ
cet-14392	52	12	design	design	NOUN
cet-14392	52	13	for	for	ADP
cet-14392	52	14	the	the	DET
cet-14392	52	15	structure	structure	NOUN
cet-14392	52	16	by	by	ADP
cet-14392	52	17	iteratively	iteratively	ADV
cet-14392	52	18	adjusting	adjust	VERB
cet-14392	52	19	the	the	DET
cet-14392	52	20	number	number	NOUN
cet-14392	52	21	of	of	ADP
cet-14392	52	22	elements	element	NOUN
cet-14392	52	23	while	while	SCONJ
cet-14392	52	24	considering	consider	VERB
cet-14392	52	25	their	their	PRON
cet-14392	52	26	sensitivity	sensitivity	NOUN
cet-14392	52	27	.	.	PUNCT
cet-14392	53	1	3	3	X
cet-14392	53	2	.	.	X
cet-14392	53	3	numerical	numerical	ADJ
cet-14392	53	4	examples	example	NOUN
cet-14392	53	5	in	in	ADP
cet-14392	53	6	this	this	DET
cet-14392	53	7	section	section	NOUN
cet-14392	53	8	,	,	PUNCT
cet-14392	53	9	the	the	DET
cet-14392	53	10	topology	topology	NOUN
cet-14392	53	11	optimization	optimization	NOUN
cet-14392	53	12	problem	problem	NOUN
cet-14392	53	13	with	with	ADP
cet-14392	53	14	constraints	constraint	NOUN
cet-14392	53	15	associated	associate	VERB
cet-14392	53	16	with	with	ADP
cet-14392	53	17	fatigue	fatigue	NOUN
cet-14392	53	18	and	and	CCONJ
cet-14392	53	19	volume	volume	NOUN
cet-14392	53	20	is	be	AUX
cet-14392	53	21	addressed	address	VERB
cet-14392	53	22	by	by	ADP
cet-14392	53	23	utilizing	utilize	VERB
cet-14392	53	24	the	the	DET
cet-14392	53	25	developed	develop	VERB
cet-14392	53	26	beso	beso	NOUN
cet-14392	53	27	algorithm	algorithm	NOUN
cet-14392	53	28	.	.	PUNCT
cet-14392	54	1	as	as	SCONJ
cet-14392	54	2	previously	previously	ADV
cet-14392	54	3	mentioned	mention	VERB
cet-14392	54	4	,	,	PUNCT
cet-14392	54	5	the	the	DET
cet-14392	54	6	proposed	propose	VERB
cet-14392	54	7	work	work	NOUN
cet-14392	54	8	is	be	AUX
cet-14392	54	9	an	an	DET
cet-14392	54	10	extension	extension	NOUN
cet-14392	54	11	of	of	ADP
cet-14392	54	12	our	our	PRON
cet-14392	54	13	prior	prior	ADJ
cet-14392	54	14	work	work	NOUN
cet-14392	54	15	(	(	PUNCT
cet-14392	54	16	movahedi	movahedi	NOUN
cet-14392	54	17	rad	rad	PROPN
cet-14392	54	18	et	et	PROPN
cet-14392	54	19	al	al	PROPN
cet-14392	54	20	.	.	PROPN
cet-14392	54	21	,	,	PUNCT
cet-14392	54	22	2021	2021	NUM
cet-14392	54	23	)	)	PUNCT
cet-14392	54	24	to	to	PART
cet-14392	54	25	propose	propose	VERB
cet-14392	54	26	a	a	DET
cet-14392	54	27	structural	structural	ADJ
cet-14392	54	28	optimization	optimization	NOUN
cet-14392	54	29	algorithm	algorithm	NOUN
cet-14392	54	30	that	that	PRON
cet-14392	54	31	specifically	specifically	ADV
cet-14392	54	32	incorporates	incorporate	VERB
cet-14392	54	33	fatigue	fatigue	NOUN
cet-14392	54	34	failure	failure	NOUN
cet-14392	54	35	as	as	ADP
cet-14392	54	36	a	a	DET
cet-14392	54	37	critical	critical	ADJ
cet-14392	54	38	constraint	constraint	NOUN
cet-14392	54	39	.	.	PUNCT
cet-14392	55	1	it	it	PRON
cet-14392	55	2	should	should	AUX
cet-14392	55	3	be	be	AUX
cet-14392	55	4	noted	note	VERB
cet-14392	55	5	that	that	SCONJ
cet-14392	55	6	in	in	ADP
cet-14392	55	7	the	the	DET
cet-14392	55	8	figures	figure	NOUN
cet-14392	55	9	of	of	ADP
cet-14392	55	10	the	the	DET
cet-14392	55	11	resulting	result	VERB
cet-14392	55	12	optimized	optimize	VERB
cet-14392	55	13	shapes	shape	NOUN
cet-14392	55	14	,	,	PUNCT
cet-14392	55	15	the	the	DET
cet-14392	55	16	black	black	ADJ
cet-14392	55	17	color	color	NOUN
cet-14392	55	18	represents	represent	VERB
cet-14392	55	19	the	the	DET
cet-14392	55	20	solid	solid	ADJ
cet-14392	55	21	elements	element	NOUN
cet-14392	55	22	of	of	ADP
cet-14392	55	23	the	the	DET
cet-14392	55	24	model	model	NOUN
cet-14392	55	25	.	.	PUNCT
cet-14392	56	1	therefore	therefore	ADV
cet-14392	56	2	,	,	PUNCT
cet-14392	56	3	the	the	DET
cet-14392	56	4	optimized	optimize	VERB
cet-14392	56	5	shapes	shape	NOUN
cet-14392	56	6	exhibit	exhibit	VERB
cet-14392	56	7	a	a	DET
cet-14392	56	8	reduction	reduction	NOUN
cet-14392	56	9	in	in	ADP
cet-14392	56	10	the	the	DET
cet-14392	56	11	proportion	proportion	NOUN
cet-14392	56	12	of	of	ADP
cet-14392	56	13	solid	solid	ADJ
cet-14392	56	14	(	(	PUNCT
cet-14392	56	15	black	black	ADJ
cet-14392	56	16	)	)	PUNCT
cet-14392	56	17	elements	element	NOUN
cet-14392	56	18	according	accord	VERB
cet-14392	56	19	to	to	ADP
cet-14392	56	20	the	the	DET
cet-14392	56	21	desired	desire	VERB
cet-14392	56	22	volume	volume	NOUN
cet-14392	56	23	fraction	fraction	NOUN
cet-14392	56	24	values	value	NOUN
cet-14392	56	25	.	.	PUNCT
cet-14392	57	1	3.1	3.1	NUM
cet-14392	57	2	l	l	NOUN
cet-14392	57	3	-	-	PUNCT
cet-14392	57	4	shape	shape	NOUN
cet-14392	57	5	problem	problem	NOUN
cet-14392	57	6	the	the	DET
cet-14392	57	7	paper	paper	NOUN
cet-14392	57	8	's	's	PART
cet-14392	57	9	first	first	PROPN
cet-14392	57	10	numerical	numerical	ADJ
cet-14392	57	11	example	example	NOUN
cet-14392	57	12	takes	take	VERB
cet-14392	57	13	into	into	ADP
cet-14392	57	14	account	account	NOUN
cet-14392	57	15	the	the	DET
cet-14392	57	16	l	l	ADV
cet-14392	57	17	-	-	ADJ
cet-14392	57	18	shaped	shape	VERB
cet-14392	57	19	beam	beam	NOUN
cet-14392	57	20	optimization	optimization	NOUN
cet-14392	57	21	problem	problem	NOUN
cet-14392	57	22	.	.	PUNCT
cet-14392	58	1	the	the	DET
cet-14392	58	2	example	example	NOUN
cet-14392	58	3	's	's	PART
cet-14392	58	4	geometry	geometry	NOUN
cet-14392	58	5	,	,	PUNCT
cet-14392	58	6	boundary	boundary	NOUN
cet-14392	58	7	,	,	PUNCT
cet-14392	58	8	and	and	CCONJ
cet-14392	58	9	loading	loading	NOUN
cet-14392	58	10	conditions	condition	NOUN
cet-14392	58	11	are	be	AUX
cet-14392	58	12	shown	show	VERB
cet-14392	58	13	in	in	ADP
cet-14392	58	14	figure	figure	NOUN
cet-14392	58	15	1	1	NUM
cet-14392	58	16	.	.	PUNCT
cet-14392	59	1	the	the	DET
cet-14392	59	2	considered	consider	VERB
cet-14392	59	3	material	material	NOUN
cet-14392	59	4	properties	property	NOUN
cet-14392	59	5	are	be	AUX
cet-14392	59	6	density	density	NOUN
cet-14392	59	7	of	of	ADP
cet-14392	59	8	2,800	2,800	NUM
cet-14392	59	9	kg	kg	NOUN
cet-14392	59	10	/	/	SYM
cet-14392	59	11	m3	m3	PROPN
cet-14392	59	12	,	,	PUNCT
cet-14392	59	13	young	young	PROPN
cet-14392	59	14	's	's	PART
cet-14392	59	15	modulus	modulus	NOUN
cet-14392	59	16	of	of	ADP
cet-14392	59	17	70	70	NUM
cet-14392	59	18	gpa	gpa	NOUN
cet-14392	59	19	,	,	PUNCT
cet-14392	59	20	and	and	CCONJ
cet-14392	59	21	poisson	poisson	PROPN
cet-14392	59	22	's	's	PART
cet-14392	59	23	ratio	ratio	NOUN
cet-14392	59	24	of	of	ADP
cet-14392	59	25	0.3	0.3	NUM
cet-14392	59	26	.	.	PUNCT
cet-14392	60	1	𝜎𝑓	𝜎𝑓	PROPN
cet-14392	60	2	′	′	NOUN
cet-14392	60	3	and	and	CCONJ
cet-14392	60	4	𝑏	𝑏	PROPN
cet-14392	60	5	are	be	AUX
cet-14392	60	6	assumed	assume	VERB
cet-14392	60	7	580	580	NUM
cet-14392	60	8	mpa	mpa	NOUN
cet-14392	60	9	and	and	CCONJ
cet-14392	60	10	−0.262	−0.262	PROPN
cet-14392	60	11	.	.	PUNCT
cet-14392	61	1	furthermore	furthermore	ADV
cet-14392	61	2	,	,	PUNCT
cet-14392	61	3	the	the	DET
cet-14392	61	4	values	value	NOUN
cet-14392	61	5	of	of	ADP
cet-14392	61	6	𝐸𝑅	𝐸𝑅	PROPN
cet-14392	61	7	,	,	PUNCT
cet-14392	61	8	𝐴𝑅𝑚𝑎𝑥	𝐴𝑅𝑚𝑎𝑥	PROPN
cet-14392	61	9	,	,	PUNCT
cet-14392	61	10	𝑟𝑚𝑖𝑛	𝑟𝑚𝑖𝑛	NOUN
cet-14392	61	11	,	,	PUNCT
cet-14392	61	12	and	and	CCONJ
cet-14392	61	13	𝜏	𝜏	X
cet-14392	61	14	for	for	ADP
cet-14392	61	15	beso	beso	NOUN
cet-14392	61	16	parameters	parameter	NOUN
cet-14392	61	17	are	be	AUX
cet-14392	61	18	1	1	NUM
cet-14392	61	19	%	%	NOUN
cet-14392	61	20	,	,	PUNCT
cet-14392	61	21	1	1	NUM
cet-14392	61	22	%	%	NOUN
cet-14392	61	23	,	,	PUNCT
cet-14392	61	24	18	18	NUM
cet-14392	61	25	mm	mm	NOUN
cet-14392	61	26	and	and	CCONJ
cet-14392	61	27	1	1	NUM
cet-14392	61	28	%	%	NOUN
cet-14392	61	29	.	.	PUNCT
cet-14392	62	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	62	2	is	be	AUX
cet-14392	62	3	set	set	VERB
cet-14392	62	4	to	to	ADP
cet-14392	62	5	40	40	NUM
cet-14392	62	6	%	%	NOUN
cet-14392	62	7	.	.	PUNCT
cet-14392	63	1	in	in	ADP
cet-14392	63	2	the	the	DET
cet-14392	63	3	case	case	NOUN
cet-14392	63	4	of	of	ADP
cet-14392	63	5	linear	linear	PROPN
cet-14392	63	6	and	and	CCONJ
cet-14392	63	7	geometrically	geometrically	ADV
cet-14392	63	8	nonlinear	nonlinear	ADJ
cet-14392	63	9	optimization	optimization	NOUN
cet-14392	63	10	,	,	PUNCT
cet-14392	63	11	the	the	DET
cet-14392	63	12	applied	apply	VERB
cet-14392	63	13	load	load	NOUN
cet-14392	63	14	is	be	AUX
cet-14392	63	15	represented	represent	VERB
cet-14392	63	16	by	by	ADP
cet-14392	63	17	𝐹	𝐹	PROPN
cet-14392	63	18	=	=	PROPN
cet-14392	63	19	12	12	NUM
cet-14392	63	20	kn	kn	NOUN
cet-14392	63	21	.	.	PUNCT
cet-14392	64	1	however	however	ADV
cet-14392	64	2	,	,	PUNCT
cet-14392	64	3	for	for	ADP
cet-14392	64	4	fatigue	fatigue	NOUN
cet-14392	64	5	constraint	constraint	NOUN
cet-14392	64	6	optimization	optimization	NOUN
cet-14392	64	7	,	,	PUNCT
cet-14392	64	8	the	the	DET
cet-14392	64	9	value	value	NOUN
cet-14392	64	10	of	of	ADP
cet-14392	64	11	𝐹	𝐹	PROPN
cet-14392	64	12	is	be	AUX
cet-14392	64	13	treated	treat	VERB
cet-14392	64	14	as	as	ADP
cet-14392	64	15	a	a	DET
cet-14392	64	16	displacement	displacement	NOUN
cet-14392	64	17	with	with	ADP
cet-14392	64	18	a	a	DET
cet-14392	64	19	magnitude	magnitude	NOUN
cet-14392	64	20	of	of	ADP
cet-14392	64	21	2	2	NUM
cet-14392	64	22	mm	mm	NOUN
cet-14392	64	23	.	.	PUNCT
cet-14392	65	1	figure	figure	NOUN
cet-14392	65	2	1	1	NUM
cet-14392	65	3	:	:	PUNCT
cet-14392	65	4	considered	consider	VERB
cet-14392	65	5	l	l	NOUN
cet-14392	65	6	-	-	ADJ
cet-14392	65	7	shaped	shape	VERB
cet-14392	65	8	example	example	NOUN
cet-14392	65	9	a	a	DET
cet-14392	65	10	comprehensive	comprehensive	ADJ
cet-14392	65	11	comparison	comparison	NOUN
cet-14392	65	12	of	of	ADP
cet-14392	65	13	resulting	result	VERB
cet-14392	65	14	topological	topological	ADJ
cet-14392	65	15	shapes	shape	NOUN
cet-14392	65	16	is	be	AUX
cet-14392	65	17	provided	provide	VERB
cet-14392	65	18	,	,	PUNCT
cet-14392	65	19	considering	consider	VERB
cet-14392	65	20	different	different	ADJ
cet-14392	65	21	models	model	NOUN
cet-14392	65	22	:	:	PUNCT
cet-14392	65	23	linear	linear	ADJ
cet-14392	65	24	,	,	PUNCT
cet-14392	65	25	geometrically	geometrically	ADV
cet-14392	65	26	nonlinear	nonlinear	ADJ
cet-14392	65	27	,	,	PUNCT
cet-14392	65	28	and	and	CCONJ
cet-14392	65	29	the	the	DET
cet-14392	65	30	proposed	propose	VERB
cet-14392	65	31	fatigue	fatigue	NOUN
cet-14392	65	32	constraint	constraint	NOUN
cet-14392	65	33	optimization	optimization	NOUN
cet-14392	65	34	model	model	NOUN
cet-14392	65	35	proposed	propose	VERB
cet-14392	65	36	in	in	ADP
cet-14392	65	37	the	the	DET
cet-14392	65	38	manuscript	manuscript	NOUN
cet-14392	65	39	.	.	PUNCT
cet-14392	66	1	the	the	DET
cet-14392	66	2	findings	finding	NOUN
cet-14392	66	3	presented	present	VERB
cet-14392	66	4	in	in	ADP
cet-14392	66	5	figures	figure	NOUN
cet-14392	66	6	from	from	ADP
cet-14392	66	7	2	2	NUM
cet-14392	66	8	to	to	ADP
cet-14392	66	9	4	4	NUM
cet-14392	66	10	,	,	PUNCT
cet-14392	66	11	indicate	indicate	VERB
cet-14392	66	12	that	that	SCONJ
cet-14392	66	13	when	when	SCONJ
cet-14392	66	14	fatigue	fatigue	NOUN
cet-14392	66	15	constraints	constraint	NOUN
cet-14392	66	16	are	be	AUX
cet-14392	66	17	taken	take	VERB
cet-14392	66	18	into	into	ADP
cet-14392	66	19	consideration	consideration	NOUN
cet-14392	66	20	,	,	PUNCT
cet-14392	66	21	the	the	DET
cet-14392	66	22	resulting	result	VERB
cet-14392	66	23	optimized	optimize	VERB
cet-14392	66	24	shape	shape	NOUN
cet-14392	66	25	diverges	diverge	VERB
cet-14392	66	26	from	from	ADP
cet-14392	66	27	the	the	DET
cet-14392	66	28	shapes	shape	NOUN
cet-14392	66	29	obtained	obtain	VERB
cet-14392	66	30	through	through	ADP
cet-14392	66	31	linear	linear	ADJ
cet-14392	66	32	and	and	CCONJ
cet-14392	66	33	geometrically	geometrically	ADV
cet-14392	66	34	nonlinear	nonlinear	ADJ
cet-14392	66	35	optimization	optimization	NOUN
cet-14392	66	36	approaches	approach	NOUN
cet-14392	66	37	.	.	PUNCT
cet-14392	67	1	(	(	PUNCT
cet-14392	67	2	a	a	X
cet-14392	67	3	)	)	PUNCT
cet-14392	67	4	(	(	PUNCT
cet-14392	67	5	b	b	X
cet-14392	67	6	)	)	PUNCT
cet-14392	67	7	(	(	PUNCT
cet-14392	67	8	c	c	X
cet-14392	67	9	)	)	PUNCT
cet-14392	67	10	figure	figure	NOUN
cet-14392	67	11	2	2	NUM
cet-14392	67	12	:	:	PUNCT
cet-14392	67	13	topological	topological	ADJ
cet-14392	67	14	results	result	NOUN
cet-14392	67	15	in	in	ADP
cet-14392	67	16	the	the	DET
cet-14392	67	17	case	case	NOUN
cet-14392	67	18	of	of	ADP
cet-14392	67	19	linear	linear	ADJ
cet-14392	67	20	designs	design	NOUN
cet-14392	67	21	(	(	PUNCT
cet-14392	67	22	a	a	X
cet-14392	67	23	)	)	PUNCT
cet-14392	68	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	68	2	=	=	NOUN
cet-14392	68	3	100	100	NUM
cet-14392	68	4	%	%	NOUN
cet-14392	68	5	(	(	PUNCT
cet-14392	68	6	b	b	NOUN
cet-14392	68	7	)	)	PUNCT
cet-14392	69	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	69	2	=	=	NUM
cet-14392	69	3	65	65	NUM
cet-14392	69	4	%	%	NOUN
cet-14392	69	5	(	(	PUNCT
cet-14392	69	6	c	c	NOUN
cet-14392	69	7	)	)	PUNCT
cet-14392	70	1	𝑉𝑓	𝑉𝑓	NOUN
cet-14392	70	2	=	=	NUM
cet-14392	70	3	40	40	NUM
cet-14392	70	4	%	%	NOUN
cet-14392	70	5	615	615	NUM
cet-14392	70	6	(	(	PUNCT
cet-14392	70	7	a	a	NOUN
cet-14392	70	8	)	)	PUNCT
cet-14392	70	9	(	(	PUNCT
cet-14392	70	10	b	b	X
cet-14392	70	11	)	)	PUNCT
cet-14392	70	12	(	(	PUNCT
cet-14392	70	13	c	c	X
cet-14392	70	14	)	)	PUNCT
cet-14392	70	15	figure	figure	NOUN
cet-14392	70	16	3	3	NUM
cet-14392	70	17	:	:	PUNCT
cet-14392	70	18	topological	topological	ADJ
cet-14392	70	19	results	result	NOUN
cet-14392	70	20	of	of	ADP
cet-14392	70	21	geometrically	geometrically	ADV
cet-14392	70	22	nonlinear	nonlinear	ADJ
cet-14392	70	23	designs	design	NOUN
cet-14392	70	24	(	(	PUNCT
cet-14392	70	25	a	a	X
cet-14392	70	26	)	)	PUNCT
cet-14392	70	27	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	70	28	=	=	NOUN
cet-14392	70	29	100	100	NUM
cet-14392	70	30	%	%	NOUN
cet-14392	70	31	(	(	PUNCT
cet-14392	70	32	b	b	NOUN
cet-14392	70	33	)	)	PUNCT
cet-14392	71	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	71	2	=	=	NUM
cet-14392	71	3	65	65	NUM
cet-14392	71	4	%	%	NOUN
cet-14392	71	5	(	(	PUNCT
cet-14392	71	6	c	c	NOUN
cet-14392	71	7	)	)	PUNCT
cet-14392	72	1	𝑉𝑓	𝑉𝑓	NOUN
cet-14392	72	2	=	=	NUM
cet-14392	72	3	40	40	NUM
cet-14392	72	4	%	%	NOUN
cet-14392	72	5	(	(	PUNCT
cet-14392	72	6	a	a	NOUN
cet-14392	72	7	)	)	PUNCT
cet-14392	72	8	(	(	PUNCT
cet-14392	72	9	b	b	X
cet-14392	72	10	)	)	PUNCT
cet-14392	72	11	(	(	PUNCT
cet-14392	72	12	c	c	X
cet-14392	72	13	)	)	PUNCT
cet-14392	72	14	figure	figure	NOUN
cet-14392	72	15	4	4	NUM
cet-14392	72	16	:	:	PUNCT
cet-14392	72	17	topological	topological	ADJ
cet-14392	72	18	results	result	NOUN
cet-14392	72	19	of	of	ADP
cet-14392	72	20	fatigue	fatigue	NOUN
cet-14392	72	21	constrained	constrain	VERB
cet-14392	72	22	designs	design	NOUN
cet-14392	72	23	(	(	PUNCT
cet-14392	72	24	a	a	X
cet-14392	72	25	)	)	PUNCT
cet-14392	73	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	73	2	=	=	NOUN
cet-14392	73	3	100	100	NUM
cet-14392	73	4	%	%	NOUN
cet-14392	73	5	(	(	PUNCT
cet-14392	73	6	b	b	NOUN
cet-14392	73	7	)	)	PUNCT
cet-14392	74	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	74	2	=	=	NUM
cet-14392	74	3	65	65	NUM
cet-14392	74	4	%	%	NOUN
cet-14392	74	5	(	(	PUNCT
cet-14392	74	6	c	c	NOUN
cet-14392	74	7	)	)	PUNCT
cet-14392	75	1	𝑉𝑓	𝑉𝑓	NOUN
cet-14392	75	2	=	=	NUM
cet-14392	75	3	40	40	NUM
cet-14392	75	4	%	%	NOUN
cet-14392	75	5	table	table	NOUN
cet-14392	75	6	1	1	NUM
cet-14392	75	7	represents	represent	VERB
cet-14392	75	8	another	another	DET
cet-14392	75	9	comparison	comparison	NOUN
cet-14392	75	10	according	accord	VERB
cet-14392	75	11	to	to	ADP
cet-14392	75	12	the	the	DET
cet-14392	75	13	maximal	maximal	ADJ
cet-14392	75	14	huber	huber	PROPN
cet-14392	75	15	-	-	PUNCT
cet-14392	75	16	mises	mise	NOUN
cet-14392	75	17	-	-	PUNCT
cet-14392	75	18	hencky	hencky	ADJ
cet-14392	75	19	stress	stress	NOUN
cet-14392	75	20	(	(	PUNCT
cet-14392	75	21	𝜎𝐻𝑀𝐻	𝜎𝐻𝑀𝐻	X
cet-14392	75	22	𝑚𝑎𝑥	𝑚𝑎𝑥	ADJ
cet-14392	75	23	)	)	PUNCT
cet-14392	75	24	values	value	NOUN
cet-14392	75	25	for	for	ADP
cet-14392	75	26	each	each	DET
cet-14392	75	27	design	design	NOUN
cet-14392	75	28	case	case	NOUN
cet-14392	75	29	.	.	PUNCT
cet-14392	76	1	it	it	PRON
cet-14392	76	2	can	can	AUX
cet-14392	76	3	be	be	AUX
cet-14392	76	4	noticed	notice	VERB
cet-14392	76	5	that	that	SCONJ
cet-14392	76	6	in	in	ADP
cet-14392	76	7	the	the	DET
cet-14392	76	8	fatigue	fatigue	NOUN
cet-14392	76	9	constraint	constraint	NOUN
cet-14392	76	10	topology	topology	NOUN
cet-14392	76	11	optimization	optimization	NOUN
cet-14392	76	12	the	the	DET
cet-14392	76	13	value	value	NOUN
cet-14392	76	14	of	of	ADP
cet-14392	76	15	𝜎𝐻𝑀𝐻	𝜎𝐻𝑀𝐻	X
cet-14392	76	16	𝑚𝑎𝑥	𝑚𝑎𝑥	PRON
cet-14392	76	17	decreased	decrease	VERB
cet-14392	76	18	dramatically	dramatically	ADV
cet-14392	76	19	from	from	ADP
cet-14392	76	20	the	the	DET
cet-14392	76	21	obtained	obtain	VERB
cet-14392	76	22	values	value	NOUN
cet-14392	76	23	in	in	ADP
cet-14392	76	24	the	the	DET
cet-14392	76	25	cases	case	NOUN
cet-14392	76	26	of	of	ADP
cet-14392	76	27	linear	linear	NOUN
cet-14392	76	28	and	and	CCONJ
cet-14392	76	29	geometrically	geometrically	ADV
cet-14392	76	30	nonlinear	nonlinear	ADJ
cet-14392	76	31	designs	design	NOUN
cet-14392	76	32	.	.	PUNCT
cet-14392	77	1	table	table	NOUN
cet-14392	77	2	1	1	NUM
cet-14392	77	3	:	:	PUNCT
cet-14392	77	4	resulted	result	VERB
cet-14392	77	5	𝜎𝐻𝑀𝐻	𝜎𝐻𝑀𝐻	X
cet-14392	77	6	𝑚𝑎𝑥	𝑚𝑎𝑥	NOUN
cet-14392	77	7	for	for	ADP
cet-14392	77	8	each	each	DET
cet-14392	77	9	design	design	NOUN
cet-14392	77	10	model	model	NOUN
cet-14392	77	11	𝜎𝐻𝑀𝐻	𝜎𝐻𝑀𝐻	PUNCT
cet-14392	78	1	𝑚𝑎𝑥	𝑚𝑎𝑥	X
cet-14392	78	2	(	(	PUNCT
cet-14392	78	3	𝑀𝑃𝑎	𝑀𝑃𝑎	PROPN
cet-14392	78	4	)	)	PUNCT
cet-14392	78	5	linear	linear	PROPN
cet-14392	78	6	design	design	NOUN
cet-14392	78	7	314	314	NUM
cet-14392	78	8	geometrically	geometrically	ADV
cet-14392	78	9	nonlinear	nonlinear	ADJ
cet-14392	78	10	design	design	NOUN
cet-14392	78	11	310	310	NUM
cet-14392	78	12	fatigue	fatigue	NOUN
cet-14392	78	13	constraint	constraint	NOUN
cet-14392	78	14	design	design	NOUN
cet-14392	78	15	12.24	12.24	NUM
cet-14392	78	16	3.2	3.2	NUM
cet-14392	78	17	u	u	NOUN
cet-14392	78	18	-	-	NOUN
cet-14392	78	19	plate	plate	NOUN
cet-14392	78	20	problem	problem	NOUN
cet-14392	78	21	the	the	DET
cet-14392	78	22	paper	paper	NOUN
cet-14392	78	23	's	's	PART
cet-14392	78	24	second	second	ADJ
cet-14392	78	25	numerical	numerical	ADJ
cet-14392	78	26	example	example	NOUN
cet-14392	78	27	takes	take	VERB
cet-14392	78	28	into	into	ADP
cet-14392	78	29	account	account	NOUN
cet-14392	78	30	the	the	DET
cet-14392	78	31	u	u	NOUN
cet-14392	78	32	-	-	ADJ
cet-14392	78	33	shaped	shape	VERB
cet-14392	78	34	plate	plate	NOUN
cet-14392	78	35	optimization	optimization	NOUN
cet-14392	78	36	problem	problem	NOUN
cet-14392	78	37	.	.	PUNCT
cet-14392	79	1	the	the	DET
cet-14392	79	2	example	example	NOUN
cet-14392	79	3	's	's	PART
cet-14392	79	4	loading	loading	NOUN
cet-14392	79	5	conditions	condition	NOUN
cet-14392	79	6	,	,	PUNCT
cet-14392	79	7	geometry	geometry	NOUN
cet-14392	79	8	,	,	PUNCT
cet-14392	79	9	and	and	CCONJ
cet-14392	79	10	boundaries	boundary	NOUN
cet-14392	79	11	are	be	AUX
cet-14392	79	12	shown	show	VERB
cet-14392	79	13	in	in	ADP
cet-14392	79	14	figure	figure	NOUN
cet-14392	79	15	5	5	NUM
cet-14392	79	16	.	.	PUNCT
cet-14392	80	1	the	the	DET
cet-14392	80	2	material	material	NOUN
cet-14392	80	3	properties	property	NOUN
cet-14392	80	4	are	be	AUX
cet-14392	80	5	density	density	NOUN
cet-14392	80	6	of	of	ADP
cet-14392	80	7	7,800	7,800	NUM
cet-14392	80	8	kg	kg	NOUN
cet-14392	80	9	/	/	SYM
cet-14392	80	10	m3	m3	PROPN
cet-14392	80	11	,	,	PUNCT
cet-14392	80	12	young	young	PROPN
cet-14392	80	13	's	's	PART
cet-14392	80	14	modulus	modulus	NOUN
cet-14392	80	15	of	of	ADP
cet-14392	80	16	160	160	NUM
cet-14392	80	17	gpa	gpa	NOUN
cet-14392	80	18	,	,	PUNCT
cet-14392	80	19	and	and	CCONJ
cet-14392	80	20	poisson	poisson	PROPN
cet-14392	80	21	's	's	PART
cet-14392	80	22	ratio	ratio	NOUN
cet-14392	80	23	of	of	ADP
cet-14392	80	24	0.3	0.3	NUM
cet-14392	80	25	.	.	PUNCT
cet-14392	81	1	𝜎𝑓	𝜎𝑓	PROPN
cet-14392	81	2	′	′	NOUN
cet-14392	81	3	and	and	CCONJ
cet-14392	81	4	𝑏	𝑏	PROPN
cet-14392	81	5	are	be	AUX
cet-14392	81	6	assumed	assume	VERB
cet-14392	81	7	749	749	NUM
cet-14392	81	8	mpa	mpa	NOUN
cet-14392	81	9	and	and	CCONJ
cet-14392	81	10	−0.090	−0.090	NOUN
cet-14392	81	11	respectively	respectively	ADV
cet-14392	81	12	.	.	PUNCT
cet-14392	82	1	furthermore	furthermore	ADV
cet-14392	82	2	,	,	PUNCT
cet-14392	82	3	the	the	DET
cet-14392	82	4	values	value	NOUN
cet-14392	82	5	of	of	ADP
cet-14392	82	6	𝐸𝑅	𝐸𝑅	PROPN
cet-14392	82	7	,	,	PUNCT
cet-14392	82	8	𝐴𝑅𝑚𝑎𝑥	𝐴𝑅𝑚𝑎𝑥	PROPN
cet-14392	82	9	,	,	PUNCT
cet-14392	82	10	𝑟𝑚𝑖𝑛	𝑟𝑚𝑖𝑛	NOUN
cet-14392	82	11	,	,	PUNCT
cet-14392	82	12	and	and	CCONJ
cet-14392	82	13	𝜏	𝜏	X
cet-14392	82	14	for	for	ADP
cet-14392	82	15	beso	beso	NOUN
cet-14392	82	16	parameters	parameter	NOUN
cet-14392	82	17	are	be	AUX
cet-14392	82	18	1	1	NUM
cet-14392	82	19	%	%	NOUN
cet-14392	82	20	,	,	PUNCT
cet-14392	82	21	1	1	NUM
cet-14392	82	22	%	%	NOUN
cet-14392	82	23	,	,	PUNCT
cet-14392	82	24	6	6	NUM
cet-14392	82	25	mm	mm	NOUN
cet-14392	82	26	and	and	CCONJ
cet-14392	82	27	1	1	NUM
cet-14392	82	28	%	%	NOUN
cet-14392	82	29	,	,	PUNCT
cet-14392	82	30	respectively	respectively	ADV
cet-14392	82	31	.	.	PUNCT
cet-14392	83	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	83	2	is	be	AUX
cet-14392	83	3	set	set	VERB
cet-14392	83	4	to	to	ADP
cet-14392	83	5	50	50	NUM
cet-14392	83	6	%	%	NOUN
cet-14392	83	7	.	.	PUNCT
cet-14392	84	1	the	the	DET
cet-14392	84	2	applied	apply	VERB
cet-14392	84	3	load	load	NOUN
cet-14392	84	4	in	in	ADP
cet-14392	84	5	the	the	DET
cet-14392	84	6	cases	case	NOUN
cet-14392	84	7	of	of	ADP
cet-14392	84	8	linear	linear	NOUN
cet-14392	84	9	and	and	CCONJ
cet-14392	84	10	geometrically	geometrically	ADV
cet-14392	84	11	nonlinear	nonlinear	ADJ
cet-14392	84	12	optimization	optimization	NOUN
cet-14392	84	13	is	be	AUX
cet-14392	84	14	considered	consider	VERB
cet-14392	84	15	to	to	PART
cet-14392	84	16	be	be	AUX
cet-14392	84	17	𝐹	𝐹	PROPN
cet-14392	84	18	=	=	SYM
cet-14392	84	19	1	1	NUM
cet-14392	84	20	kn	kn	NOUN
cet-14392	84	21	while	while	SCONJ
cet-14392	84	22	in	in	ADP
cet-14392	84	23	the	the	DET
cet-14392	84	24	case	case	NOUN
cet-14392	84	25	of	of	ADP
cet-14392	84	26	fatigue	fatigue	NOUN
cet-14392	84	27	constraint	constraint	NOUN
cet-14392	84	28	optimization	optimization	NOUN
cet-14392	84	29	,	,	PUNCT
cet-14392	84	30	𝐹	𝐹	PROPN
cet-14392	84	31	is	be	AUX
cet-14392	84	32	considered	consider	VERB
cet-14392	84	33	as	as	ADP
cet-14392	84	34	displacement	displacement	NOUN
cet-14392	84	35	with	with	ADP
cet-14392	84	36	magnitude	magnitude	NOUN
cet-14392	84	37	of	of	ADP
cet-14392	84	38	1	1	NUM
cet-14392	84	39	mm	mm	NOUN
cet-14392	84	40	.	.	PUNCT
cet-14392	85	1	figure	figure	NOUN
cet-14392	85	2	5	5	NUM
cet-14392	85	3	:	:	PUNCT
cet-14392	85	4	considered	consider	VERB
cet-14392	85	5	u	u	PRON
cet-14392	85	6	plate	plate	NOUN
cet-14392	85	7	example	example	VERB
cet-14392	85	8	a	a	DET
cet-14392	85	9	comprehensive	comprehensive	ADJ
cet-14392	85	10	comparison	comparison	NOUN
cet-14392	85	11	of	of	ADP
cet-14392	85	12	the	the	DET
cet-14392	85	13	resulting	result	VERB
cet-14392	85	14	topological	topological	ADJ
cet-14392	85	15	morphologies	morphology	NOUN
cet-14392	85	16	is	be	AUX
cet-14392	85	17	presented	present	VERB
cet-14392	85	18	,	,	PUNCT
cet-14392	85	19	taking	take	VERB
cet-14392	85	20	into	into	ADP
cet-14392	85	21	account	account	NOUN
cet-14392	85	22	various	various	ADJ
cet-14392	85	23	models	model	NOUN
cet-14392	85	24	,	,	PUNCT
cet-14392	85	25	including	include	VERB
cet-14392	85	26	linear	linear	NOUN
cet-14392	85	27	,	,	PUNCT
cet-14392	85	28	geometrically	geometrically	ADV
cet-14392	85	29	nonlinear	nonlinear	ADJ
cet-14392	85	30	,	,	PUNCT
cet-14392	85	31	and	and	CCONJ
cet-14392	85	32	the	the	DET
cet-14392	85	33	fatigue	fatigue	NOUN
cet-14392	85	34	constraint	constraint	NOUN
cet-14392	85	35	optimization	optimization	NOUN
cet-14392	85	36	model	model	NOUN
cet-14392	85	37	.	.	PUNCT
cet-14392	86	1	figures	figure	NOUN
cet-14392	86	2	6	6	NUM
cet-14392	86	3	616	616	NUM
cet-14392	86	4	through	through	ADP
cet-14392	86	5	8	8	NUM
cet-14392	86	6	demonstrate	demonstrate	VERB
cet-14392	86	7	that	that	SCONJ
cet-14392	86	8	the	the	DET
cet-14392	86	9	incorporation	incorporation	NOUN
cet-14392	86	10	of	of	ADP
cet-14392	86	11	fatigue	fatigue	NOUN
cet-14392	86	12	constraints	constraint	NOUN
cet-14392	86	13	has	have	VERB
cet-14392	86	14	a	a	DET
cet-14392	86	15	significant	significant	ADJ
cet-14392	86	16	impact	impact	NOUN
cet-14392	86	17	on	on	ADP
cet-14392	86	18	the	the	DET
cet-14392	86	19	optimal	optimal	ADJ
cet-14392	86	20	design	design	NOUN
cet-14392	86	21	,	,	PUNCT
cet-14392	86	22	resulting	result	VERB
cet-14392	86	23	in	in	ADP
cet-14392	86	24	a	a	DET
cet-14392	86	25	geometry	geometry	NOUN
cet-14392	86	26	that	that	PRON
cet-14392	86	27	is	be	AUX
cet-14392	86	28	specifically	specifically	ADV
cet-14392	86	29	tailored	tailor	VERB
cet-14392	86	30	to	to	PART
cet-14392	86	31	enhance	enhance	VERB
cet-14392	86	32	fatigue	fatigue	NOUN
cet-14392	86	33	resistance	resistance	NOUN
cet-14392	86	34	and	and	CCONJ
cet-14392	86	35	durability	durability	NOUN
cet-14392	86	36	.	.	PUNCT
cet-14392	87	1	(	(	PUNCT
cet-14392	87	2	a	a	X
cet-14392	87	3	)	)	PUNCT
cet-14392	87	4	(	(	PUNCT
cet-14392	87	5	b	b	X
cet-14392	87	6	)	)	PUNCT
cet-14392	87	7	(	(	PUNCT
cet-14392	87	8	c	c	X
cet-14392	87	9	)	)	PUNCT
cet-14392	87	10	figure	figure	NOUN
cet-14392	87	11	6	6	NUM
cet-14392	87	12	:	:	PUNCT
cet-14392	87	13	topological	topological	ADJ
cet-14392	87	14	results	result	NOUN
cet-14392	87	15	in	in	ADP
cet-14392	87	16	the	the	DET
cet-14392	87	17	case	case	NOUN
cet-14392	87	18	of	of	ADP
cet-14392	87	19	linear	linear	ADJ
cet-14392	87	20	designs	design	NOUN
cet-14392	87	21	(	(	PUNCT
cet-14392	87	22	a	a	X
cet-14392	87	23	)	)	PUNCT
cet-14392	88	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	88	2	=	=	NOUN
cet-14392	88	3	100	100	NUM
cet-14392	88	4	%	%	NOUN
cet-14392	88	5	(	(	PUNCT
cet-14392	88	6	b	b	NOUN
cet-14392	88	7	)	)	PUNCT
cet-14392	89	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	89	2	=	=	NUM
cet-14392	89	3	65	65	NUM
cet-14392	89	4	%	%	NOUN
cet-14392	89	5	(	(	PUNCT
cet-14392	89	6	c	c	NOUN
cet-14392	89	7	)	)	PUNCT
cet-14392	90	1	𝑉𝑓	𝑉𝑓	NOUN
cet-14392	90	2	=	=	NUM
cet-14392	90	3	40	40	NUM
cet-14392	90	4	%	%	NOUN
cet-14392	90	5	(	(	PUNCT
cet-14392	90	6	a	a	NOUN
cet-14392	90	7	)	)	PUNCT
cet-14392	90	8	(	(	PUNCT
cet-14392	90	9	b	b	X
cet-14392	90	10	)	)	PUNCT
cet-14392	90	11	(	(	PUNCT
cet-14392	90	12	c	c	X
cet-14392	90	13	)	)	PUNCT
cet-14392	90	14	figure	figure	NOUN
cet-14392	90	15	7	7	NUM
cet-14392	90	16	:	:	PUNCT
cet-14392	90	17	topological	topological	ADJ
cet-14392	90	18	results	result	NOUN
cet-14392	90	19	of	of	ADP
cet-14392	90	20	geometrically	geometrically	ADV
cet-14392	90	21	nonlinear	nonlinear	ADJ
cet-14392	90	22	designs	design	NOUN
cet-14392	90	23	(	(	PUNCT
cet-14392	90	24	a	a	X
cet-14392	90	25	)	)	PUNCT
cet-14392	91	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	91	2	=	=	NOUN
cet-14392	91	3	100	100	NUM
cet-14392	91	4	%	%	NOUN
cet-14392	91	5	(	(	PUNCT
cet-14392	91	6	b	b	NOUN
cet-14392	91	7	)	)	PUNCT
cet-14392	92	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	92	2	=	=	NUM
cet-14392	92	3	65	65	NUM
cet-14392	92	4	%	%	NOUN
cet-14392	92	5	(	(	PUNCT
cet-14392	92	6	c	c	NOUN
cet-14392	92	7	)	)	PUNCT
cet-14392	93	1	𝑉𝑓	𝑉𝑓	NOUN
cet-14392	93	2	=	=	NUM
cet-14392	93	3	40	40	NUM
cet-14392	93	4	%	%	NOUN
cet-14392	93	5	(	(	PUNCT
cet-14392	93	6	a	a	NOUN
cet-14392	93	7	)	)	PUNCT
cet-14392	93	8	(	(	PUNCT
cet-14392	93	9	b	b	X
cet-14392	93	10	)	)	PUNCT
cet-14392	93	11	(	(	PUNCT
cet-14392	93	12	c	c	X
cet-14392	93	13	)	)	PUNCT
cet-14392	93	14	figure	figure	NOUN
cet-14392	93	15	8	8	NUM
cet-14392	93	16	:	:	PUNCT
cet-14392	93	17	topological	topological	ADJ
cet-14392	93	18	results	result	NOUN
cet-14392	93	19	of	of	ADP
cet-14392	93	20	fatigue	fatigue	NOUN
cet-14392	93	21	constrained	constrain	VERB
cet-14392	93	22	designs(a	designs(a	NOUN
cet-14392	93	23	)	)	PUNCT
cet-14392	94	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	94	2	=	=	NOUN
cet-14392	94	3	100	100	NUM
cet-14392	94	4	%	%	NOUN
cet-14392	94	5	(	(	PUNCT
cet-14392	94	6	b	b	NOUN
cet-14392	94	7	)	)	PUNCT
cet-14392	95	1	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	95	2	=	=	NUM
cet-14392	95	3	65	65	NUM
cet-14392	95	4	%	%	NOUN
cet-14392	95	5	(	(	PUNCT
cet-14392	95	6	c	c	NOUN
cet-14392	95	7	)	)	PUNCT
cet-14392	96	1	𝑉𝑓	𝑉𝑓	NOUN
cet-14392	96	2	=	=	NUM
cet-14392	96	3	40	40	NUM
cet-14392	96	4	%	%	NOUN
cet-14392	96	5	𝜎𝐻𝑀𝐻	𝜎𝐻𝑀𝐻	VERB
cet-14392	96	6	𝑚𝑎𝑥	𝑚𝑎𝑥	ADJ
cet-14392	96	7	values	value	NOUN
cet-14392	96	8	for	for	ADP
cet-14392	96	9	each	each	DET
cet-14392	96	10	design	design	NOUN
cet-14392	96	11	case	case	NOUN
cet-14392	96	12	are	be	AUX
cet-14392	96	13	compared	compare	VERB
cet-14392	96	14	in	in	ADP
cet-14392	96	15	table	table	NOUN
cet-14392	96	16	2	2	NUM
cet-14392	96	17	.	.	NOUN
cet-14392	96	18	similar	similar	ADJ
cet-14392	96	19	to	to	ADP
cet-14392	96	20	the	the	DET
cet-14392	96	21	findings	finding	NOUN
cet-14392	96	22	of	of	ADP
cet-14392	96	23	the	the	DET
cet-14392	96	24	previous	previous	ADJ
cet-14392	96	25	example	example	NOUN
cet-14392	96	26	,	,	PUNCT
cet-14392	96	27	during	during	ADP
cet-14392	96	28	fatigue	fatigue	NOUN
cet-14392	96	29	constraint	constraint	NOUN
cet-14392	96	30	topology	topology	NOUN
cet-14392	96	31	optimization	optimization	NOUN
cet-14392	96	32	,	,	PUNCT
cet-14392	96	33	the	the	DET
cet-14392	96	34	value	value	NOUN
cet-14392	96	35	of	of	ADP
cet-14392	96	36	𝜎𝐻𝑀𝐻	𝜎𝐻𝑀𝐻	X
cet-14392	96	37	𝑚𝑎𝑥	𝑚𝑎𝑥	PRON
cet-14392	96	38	decreased	decrease	VERB
cet-14392	96	39	significantly	significantly	ADV
cet-14392	96	40	in	in	ADP
cet-14392	96	41	comparison	comparison	NOUN
cet-14392	96	42	to	to	ADP
cet-14392	96	43	the	the	DET
cet-14392	96	44	values	value	NOUN
cet-14392	96	45	obtained	obtain	VERB
cet-14392	96	46	for	for	ADP
cet-14392	96	47	linear	linear	PROPN
cet-14392	96	48	and	and	CCONJ
cet-14392	96	49	geometrically	geometrically	ADV
cet-14392	96	50	nonlinear	nonlinear	ADJ
cet-14392	96	51	designs	design	NOUN
cet-14392	96	52	.	.	PUNCT
cet-14392	97	1	it	it	PRON
cet-14392	97	2	suggests	suggest	VERB
cet-14392	97	3	the	the	DET
cet-14392	97	4	fatigue	fatigue	NOUN
cet-14392	97	5	performance	performance	NOUN
cet-14392	97	6	of	of	ADP
cet-14392	97	7	the	the	DET
cet-14392	97	8	optimized	optimize	VERB
cet-14392	97	9	structure	structure	NOUN
cet-14392	97	10	is	be	AUX
cet-14392	97	11	enhanced	enhance	VERB
cet-14392	97	12	.	.	PUNCT
cet-14392	98	1	table	table	NOUN
cet-14392	98	2	2	2	NUM
cet-14392	98	3	:	:	PUNCT
cet-14392	98	4	resulted	result	VERB
cet-14392	98	5	𝜎𝐻𝑀𝐻	𝜎𝐻𝑀𝐻	PUNCT
cet-14392	98	6	𝑚𝑎𝑥	𝑚𝑎𝑥	NOUN
cet-14392	98	7	for	for	ADP
cet-14392	98	8	each	each	DET
cet-14392	98	9	design	design	NOUN
cet-14392	98	10	model	model	NOUN
cet-14392	98	11	𝜎𝐻𝑀𝐻	𝜎𝐻𝑀𝐻	PUNCT
cet-14392	98	12	𝑚𝑎𝑥	𝑚𝑎𝑥	X
cet-14392	98	13	(	(	PUNCT
cet-14392	98	14	𝑀𝑃𝑎	𝑀𝑃𝑎	PROPN
cet-14392	98	15	)	)	PUNCT
cet-14392	98	16	linear	linear	PROPN
cet-14392	98	17	design	design	NOUN
cet-14392	98	18	289	289	NUM
cet-14392	98	19	geometrically	geometrically	ADV
cet-14392	98	20	nonlinear	nonlinear	ADJ
cet-14392	98	21	design	design	NOUN
cet-14392	98	22	287	287	NUM
cet-14392	98	23	fatigue	fatigue	NOUN
cet-14392	98	24	constraint	constraint	NOUN
cet-14392	98	25	design	design	NOUN
cet-14392	98	26	96	96	NUM
cet-14392	98	27	4	4	NUM
cet-14392	98	28	.	.	PUNCT
cet-14392	99	1	conclusions	conclusion	NOUN
cet-14392	99	2	this	this	DET
cet-14392	99	3	study	study	NOUN
cet-14392	99	4	explored	explore	VERB
cet-14392	99	5	the	the	DET
cet-14392	99	6	integration	integration	NOUN
cet-14392	99	7	of	of	ADP
cet-14392	99	8	topology	topology	NOUN
cet-14392	99	9	optimization	optimization	NOUN
cet-14392	99	10	techniques	technique	NOUN
cet-14392	99	11	with	with	ADP
cet-14392	99	12	fatigue	fatigue	NOUN
cet-14392	99	13	analysis	analysis	NOUN
cet-14392	99	14	to	to	PART
cet-14392	99	15	develop	develop	VERB
cet-14392	99	16	reliable	reliable	ADJ
cet-14392	99	17	designs	design	NOUN
cet-14392	99	18	for	for	ADP
cet-14392	99	19	structural	structural	ADJ
cet-14392	99	20	components	component	NOUN
cet-14392	99	21	which	which	PRON
cet-14392	99	22	minimize	minimize	VERB
cet-14392	99	23	fatigue	fatigue	NOUN
cet-14392	99	24	damage	damage	NOUN
cet-14392	99	25	by	by	ADP
cet-14392	99	26	integrating	integrate	VERB
cet-14392	99	27	the	the	DET
cet-14392	99	28	developed	develop	VERB
cet-14392	99	29	beso	beso	NOUN
cet-14392	99	30	method	method	NOUN
cet-14392	99	31	.	.	PUNCT
cet-14392	100	1	numerical	numerical	ADJ
cet-14392	100	2	examples	example	NOUN
cet-14392	100	3	show	show	VERB
cet-14392	100	4	that	that	SCONJ
cet-14392	100	5	our	our	PRON
cet-14392	100	6	technique	technique	NOUN
cet-14392	100	7	successfully	successfully	ADV
cet-14392	100	8	obtains	obtain	VERB
cet-14392	100	9	lightweight	lightweight	ADJ
cet-14392	100	10	structural	structural	ADJ
cet-14392	100	11	designs	design	NOUN
cet-14392	100	12	which	which	PRON
cet-14392	100	13	fulfil	fulfil	VERB
cet-14392	100	14	fatigue	fatigue	NOUN
cet-14392	100	15	and	and	CCONJ
cet-14392	100	16	volume	volume	NOUN
cet-14392	100	17	constraints	constraint	NOUN
cet-14392	100	18	.	.	PUNCT
cet-14392	101	1	the	the	DET
cet-14392	101	2	results	result	NOUN
cet-14392	101	3	of	of	ADP
cet-14392	101	4	our	our	PRON
cet-14392	101	5	investigation	investigation	NOUN
cet-14392	101	6	have	have	AUX
cet-14392	101	7	provided	provide	VERB
cet-14392	101	8	compelling	compelling	ADJ
cet-14392	101	9	evidence	evidence	NOUN
cet-14392	101	10	for	for	ADP
cet-14392	101	11	the	the	DET
cet-14392	101	12	significance	significance	NOUN
cet-14392	101	13	of	of	ADP
cet-14392	101	14	incorporating	incorporate	VERB
cet-14392	101	15	fatigue	fatigue	NOUN
cet-14392	101	16	constraints	constraint	NOUN
cet-14392	101	17	into	into	ADP
cet-14392	101	18	the	the	DET
cet-14392	101	19	topology	topology	NOUN
cet-14392	101	20	optimization	optimization	NOUN
cet-14392	101	21	process	process	NOUN
cet-14392	101	22	.	.	PUNCT
cet-14392	102	1	when	when	SCONJ
cet-14392	102	2	fatigue	fatigue	NOUN
cet-14392	102	3	considerations	consideration	NOUN
cet-14392	102	4	were	be	AUX
cet-14392	102	5	integrated	integrate	VERB
cet-14392	102	6	,	,	PUNCT
cet-14392	102	7	the	the	DET
cet-14392	102	8	resulting	result	VERB
cet-14392	102	9	optimized	optimize	VERB
cet-14392	102	10	shapes	shape	NOUN
cet-14392	102	11	exhibited	exhibit	VERB
cet-14392	102	12	a	a	DET
cet-14392	102	13	remarkable	remarkable	ADJ
cet-14392	102	14	departure	departure	NOUN
cet-14392	102	15	from	from	ADP
cet-14392	102	16	those	those	PRON
cet-14392	102	17	achieved	achieve	VERB
cet-14392	102	18	through	through	ADP
cet-14392	102	19	linear	linear	ADJ
cet-14392	102	20	and	and	CCONJ
cet-14392	102	21	geometrically	geometrically	ADV
cet-14392	102	22	nonlinear	nonlinear	ADJ
cet-14392	102	23	optimization	optimization	NOUN
cet-14392	102	24	approaches	approach	NOUN
cet-14392	102	25	which	which	PRON
cet-14392	102	26	was	be	AUX
cet-14392	102	27	done	do	VERB
cet-14392	102	28	by	by	ADP
cet-14392	102	29	(	(	PUNCT
cet-14392	102	30	movahedi	movahedi	PROPN
cet-14392	102	31	617	617	NUM
cet-14392	102	32	rad	rad	NOUN
cet-14392	102	33	et	et	PROPN
cet-14392	102	34	al	al	PROPN
cet-14392	102	35	.	.	PROPN
cet-14392	102	36	,	,	PUNCT
cet-14392	102	37	2021	2021	NUM
cet-14392	102	38	)	)	PUNCT
cet-14392	102	39	.	.	PUNCT
cet-14392	103	1	furthermore	furthermore	ADV
cet-14392	103	2	,	,	PUNCT
cet-14392	103	3	one	one	NUM
cet-14392	103	4	of	of	ADP
cet-14392	103	5	the	the	DET
cet-14392	103	6	most	most	ADV
cet-14392	103	7	significant	significant	ADJ
cet-14392	103	8	observations	observation	NOUN
cet-14392	103	9	was	be	AUX
cet-14392	103	10	the	the	DET
cet-14392	103	11	dramatic	dramatic	ADJ
cet-14392	103	12	decrease	decrease	NOUN
cet-14392	103	13	in	in	ADP
cet-14392	103	14	the	the	DET
cet-14392	103	15	maximal	maximal	ADJ
cet-14392	103	16	huber	huber	PROPN
cet-14392	103	17	-	-	PUNCT
cet-14392	103	18	mises	mise	NOUN
cet-14392	103	19	-	-	PUNCT
cet-14392	103	20	hencky	hencky	ADJ
cet-14392	103	21	stress	stress	NOUN
cet-14392	103	22	(	(	PUNCT
cet-14392	103	23	𝜎𝐻𝑀𝐻	𝜎𝐻𝑀𝐻	X
cet-14392	103	24	𝑚𝑎𝑥	𝑚𝑎𝑥	ADJ
cet-14392	103	25	)	)	PUNCT
cet-14392	103	26	values	value	NOUN
cet-14392	103	27	for	for	ADP
cet-14392	103	28	designs	design	NOUN
cet-14392	103	29	subjected	subject	VERB
cet-14392	103	30	to	to	ADP
cet-14392	103	31	fatigue	fatigue	NOUN
cet-14392	103	32	constraint	constraint	NOUN
cet-14392	103	33	optimization	optimization	NOUN
cet-14392	103	34	compared	compare	VERB
cet-14392	103	35	to	to	ADP
cet-14392	103	36	their	their	PRON
cet-14392	103	37	linear	linear	ADJ
cet-14392	103	38	and	and	CCONJ
cet-14392	103	39	geometrically	geometrically	ADV
cet-14392	103	40	nonlinear	nonlinear	ADJ
cet-14392	103	41	counterparts	counterpart	NOUN
cet-14392	103	42	.	.	PUNCT
cet-14392	104	1	this	this	DET
cet-14392	104	2	quantitative	quantitative	ADJ
cet-14392	104	3	finding	finding	NOUN
cet-14392	104	4	highlights	highlight	NOUN
cet-14392	104	5	the	the	DET
cet-14392	104	6	improved	improved	ADJ
cet-14392	104	7	fatigue	fatigue	NOUN
cet-14392	104	8	performance	performance	NOUN
cet-14392	104	9	and	and	CCONJ
cet-14392	104	10	durability	durability	NOUN
cet-14392	104	11	of	of	ADP
cet-14392	104	12	the	the	DET
cet-14392	104	13	optimized	optimize	VERB
cet-14392	104	14	structures	structure	NOUN
cet-14392	104	15	.	.	PUNCT
cet-14392	105	1	the	the	DET
cet-14392	105	2	findings	finding	NOUN
cet-14392	105	3	of	of	ADP
cet-14392	105	4	this	this	DET
cet-14392	105	5	study	study	NOUN
cet-14392	105	6	contribute	contribute	VERB
cet-14392	105	7	to	to	ADP
cet-14392	105	8	the	the	DET
cet-14392	105	9	advancement	advancement	NOUN
cet-14392	105	10	of	of	ADP
cet-14392	105	11	reliable	reliable	ADJ
cet-14392	105	12	design	design	NOUN
cet-14392	105	13	principles	principle	NOUN
cet-14392	105	14	by	by	ADP
cet-14392	105	15	incorporating	incorporate	VERB
cet-14392	105	16	fatigue	fatigue	NOUN
cet-14392	105	17	failure	failure	NOUN
cet-14392	105	18	as	as	ADP
cet-14392	105	19	a	a	DET
cet-14392	105	20	critical	critical	ADJ
cet-14392	105	21	constraint	constraint	NOUN
cet-14392	105	22	.	.	PUNCT
cet-14392	106	1	engineers	engineer	NOUN
cet-14392	106	2	can	can	AUX
cet-14392	106	3	develop	develop	VERB
cet-14392	106	4	lightweight	lightweight	ADJ
cet-14392	106	5	and	and	CCONJ
cet-14392	106	6	durable	durable	ADJ
cet-14392	106	7	structures	structure	NOUN
cet-14392	106	8	that	that	PRON
cet-14392	106	9	effectively	effectively	ADV
cet-14392	106	10	utilize	utilize	VERB
cet-14392	106	11	materials	material	NOUN
cet-14392	106	12	while	while	SCONJ
cet-14392	106	13	minimizing	minimize	VERB
cet-14392	106	14	resource	resource	NOUN
cet-14392	106	15	utilization	utilization	NOUN
cet-14392	106	16	.	.	PUNCT
cet-14392	107	1	future	future	ADJ
cet-14392	107	2	research	research	NOUN
cet-14392	107	3	could	could	AUX
cet-14392	107	4	delve	delve	VERB
cet-14392	107	5	into	into	ADP
cet-14392	107	6	the	the	DET
cet-14392	107	7	incorporation	incorporation	NOUN
cet-14392	107	8	of	of	ADP
cet-14392	107	9	advanced	advanced	ADJ
cet-14392	107	10	materials	material	NOUN
cet-14392	107	11	,	,	PUNCT
cet-14392	107	12	such	such	ADJ
cet-14392	107	13	as	as	ADP
cet-14392	107	14	composites	composite	NOUN
cet-14392	107	15	materials	material	NOUN
cet-14392	107	16	within	within	ADP
cet-14392	107	17	the	the	DET
cet-14392	107	18	topology	topology	NOUN
cet-14392	107	19	optimization	optimization	NOUN
cet-14392	107	20	process	process	NOUN
cet-14392	107	21	to	to	PART
cet-14392	107	22	investigate	investigate	VERB
cet-14392	107	23	how	how	SCONJ
cet-14392	107	24	these	these	DET
cet-14392	107	25	materials	material	NOUN
cet-14392	107	26	can	can	AUX
cet-14392	107	27	further	far	ADV
cet-14392	107	28	enhance	enhance	VERB
cet-14392	107	29	fatigue	fatigue	NOUN
cet-14392	107	30	resistance	resistance	NOUN
cet-14392	107	31	,	,	PUNCT
cet-14392	107	32	or	or	CCONJ
cet-14392	107	33	multi	multi	ADJ
cet-14392	107	34	-	-	ADJ
cet-14392	107	35	objective	objective	ADJ
cet-14392	107	36	optimization	optimization	NOUN
cet-14392	107	37	that	that	PRON
cet-14392	107	38	balance	balance	VERB
cet-14392	107	39	not	not	PART
cet-14392	107	40	only	only	ADV
cet-14392	107	41	fatigue	fatigue	NOUN
cet-14392	107	42	performance	performance	NOUN
cet-14392	107	43	but	but	CCONJ
cet-14392	107	44	also	also	ADV
cet-14392	107	45	other	other	ADJ
cet-14392	107	46	critical	critical	ADJ
cet-14392	107	47	factors	factor	NOUN
cet-14392	107	48	,	,	PUNCT
cet-14392	107	49	such	such	ADJ
cet-14392	107	50	as	as	ADP
cet-14392	107	51	cost	cost	NOUN
cet-14392	107	52	,	,	PUNCT
cet-14392	107	53	environmental	environmental	ADJ
cet-14392	107	54	impact	impact	NOUN
cet-14392	107	55	,	,	PUNCT
cet-14392	107	56	and	and	CCONJ
cet-14392	107	57	manufacturability	manufacturability	NOUN
cet-14392	107	58	.	.	PUNCT
cet-14392	108	1	nomenclature	nomenclature	ADJ
cet-14392	108	2	𝑁𝑓𝑖	𝑁𝑓𝑖	PROPN
cet-14392	108	3	–	–	PUNCT
cet-14392	108	4	number	number	NOUN
cet-14392	108	5	of	of	ADP
cet-14392	108	6	cycles	cycle	NOUN
cet-14392	108	7	,	,	PUNCT
cet-14392	108	8	𝜎𝑓	𝜎𝑓	PROPN
cet-14392	108	9	′	′	NUM
cet-14392	108	10	–	–	PUNCT
cet-14392	108	11	coefficient	coefficient	NOUN
cet-14392	108	12	of	of	ADP
cet-14392	108	13	material	material	NOUN
cet-14392	108	14	’s	’s	PART
cet-14392	108	15	fatigue	fatigue	NOUN
cet-14392	108	16	strength	strength	NOUN
cet-14392	108	17	,	,	PUNCT
cet-14392	108	18	mpa	mpa	PROPN
cet-14392	108	19	𝑏	𝑏	PROPN
cet-14392	108	20	–	–	PUNCT
cet-14392	108	21	exponent	exponent	NOUN
cet-14392	108	22	of	of	ADP
cet-14392	108	23	material	material	NOUN
cet-14392	108	24	’s	’s	PART
cet-14392	108	25	fatigue	fatigue	NOUN
cet-14392	108	26	strength	strength	NOUN
cet-14392	108	27	,	,	PUNCT
cet-14392	108	28	𝑁𝑟	𝑁𝑟	PROPN
cet-14392	108	29	–	–	PUNCT
cet-14392	108	30	overall	overall	ADJ
cet-14392	108	31	count	count	NOUN
cet-14392	108	32	of	of	ADP
cet-14392	108	33	reversals	reversal	NOUN
cet-14392	108	34	throughout	throughout	ADP
cet-14392	108	35	the	the	DET
cet-14392	108	36	loading	loading	NOUN
cet-14392	108	37	process	process	NOUN
cet-14392	108	38	,	,	PUNCT
cet-14392	108	39	𝑛𝑖	𝑛𝑖	PROPN
cet-14392	108	40	–	–	PUNCT
cet-14392	108	41	the	the	DET
cet-14392	108	42	count	count	NOUN
cet-14392	108	43	of	of	ADP
cet-14392	108	44	occurrences	occurrence	NOUN
cet-14392	108	45	of	of	ADP
cet-14392	108	46	reversals	reversal	NOUN
cet-14392	108	47	during	during	ADP
cet-14392	108	48	the	the	DET
cet-14392	108	49	cyclic	cyclic	ADJ
cet-14392	108	50	loading	loading	NOUN
cet-14392	108	51	,	,	PUNCT
cet-14392	108	52	𝐶	𝐶	PROPN
cet-14392	108	53	–	–	PUNCT
cet-14392	108	54	mean	mean	NOUN
cet-14392	108	55	compliance	compliance	NOUN
cet-14392	108	56	,	,	PUNCT
cet-14392	108	57	nmm	nmm	PROPN
cet-14392	108	58	𝑢	𝑢	PROPN
cet-14392	108	59	–	–	PUNCT
cet-14392	108	60	displacement	displacement	NOUN
cet-14392	108	61	,	,	PUNCT
cet-14392	108	62	mm	mm	PROPN
cet-14392	108	63	𝐾	𝐾	PROPN
cet-14392	108	64	–	–	PUNCT
cet-14392	108	65	stiffness	stiffness	NOUN
cet-14392	108	66	matrix	matrix	NOUN
cet-14392	108	67	,	,	PUNCT
cet-14392	108	68	n	n	CCONJ
cet-14392	108	69	/	/	SYM
cet-14392	108	70	mm	mm	NOUN
cet-14392	108	71	𝑁	𝑁	PROPN
cet-14392	108	72	–	–	PUNCT
cet-14392	108	73	total	total	ADJ
cet-14392	108	74	number	number	NOUN
cet-14392	108	75	of	of	ADP
cet-14392	108	76	elements	element	NOUN
cet-14392	108	77	,	,	PUNCT
cet-14392	108	78	𝑉𝑖	𝑉𝑖	PROPN
cet-14392	108	79	–	–	PUNCT
cet-14392	108	80	element	element	NOUN
cet-14392	108	81	volume	volume	NOUN
cet-14392	108	82	,	,	PUNCT
cet-14392	108	83	mm3	mm3	PROPN
cet-14392	108	84	𝑉∗	𝑉∗	NOUN
cet-14392	108	85	–	–	PUNCT
cet-14392	108	86	approved	approve	VERB
cet-14392	108	87	volume	volume	NOUN
cet-14392	108	88	of	of	ADP
cet-14392	108	89	the	the	DET
cet-14392	108	90	entire	entire	ADJ
cet-14392	108	91	structure	structure	NOUN
cet-14392	108	92	,	,	PUNCT
cet-14392	108	93	mm3	mm3	NOUN
cet-14392	108	94	𝑥𝑖	𝑥𝑖	PROPN
cet-14392	108	95	–	–	PUNCT
cet-14392	108	96	binary	binary	ADJ
cet-14392	108	97	design	design	NOUN
cet-14392	108	98	variable	variable	NOUN
cet-14392	108	99	,	,	PUNCT
cet-14392	108	100	𝑉𝑓	𝑉𝑓	PROPN
cet-14392	108	101	–	–	PUNCT
cet-14392	108	102	volume	volume	NOUN
cet-14392	108	103	fraction	fraction	NOUN
cet-14392	108	104	,	,	PUNCT
cet-14392	108	105	𝑉0	𝑉0	NOUN
cet-14392	108	106	–	–	PUNCT
cet-14392	108	107	total	total	ADJ
cet-14392	108	108	volume	volume	NOUN
cet-14392	108	109	of	of	ADP
cet-14392	108	110	design	design	NOUN
cet-14392	108	111	domain	domain	NOUN
cet-14392	108	112	,	,	PUNCT
cet-14392	108	113	mm3	mm3	ADJ
cet-14392	108	114	references	reference	NOUN
cet-14392	108	115	bendsøe	bendsøe	NOUN
cet-14392	108	116	m.p	m.p	PROPN
cet-14392	108	117	.	.	PROPN
cet-14392	108	118	,	,	PUNCT
cet-14392	108	119	1989	1989	NUM
cet-14392	108	120	,	,	PUNCT
cet-14392	108	121	optimal	optimal	ADJ
cet-14392	108	122	shape	shape	NOUN
cet-14392	108	123	design	design	NOUN
cet-14392	108	124	as	as	ADP
cet-14392	108	125	a	a	DET
cet-14392	108	126	material	material	NOUN
cet-14392	108	127	distribution	distribution	NOUN
cet-14392	108	128	problem	problem	NOUN
cet-14392	108	129	,	,	PUNCT
cet-14392	108	130	structural	structural	ADJ
cet-14392	108	131	optimization	optimization	NOUN
cet-14392	108	132	,	,	PUNCT
cet-14392	108	133	1	1	NUM
cet-14392	108	134	,	,	PUNCT
cet-14392	108	135	193	193	NUM
cet-14392	108	136	–	–	SYM
cet-14392	108	137	202	202	NUM
cet-14392	108	138	,	,	PUNCT
cet-14392	108	139	doi	doi	NOUN
cet-14392	108	140	:	:	PUNCT
cet-14392	108	141	10.1007	10.1007	NUM
cet-14392	108	142	/	/	SYM
cet-14392	108	143	bf01650949	bf01650949	PROPN
cet-14392	108	144	.	.	PUNCT
cet-14392	109	1	desmorat	desmorat	PROPN
cet-14392	109	2	b.	b.	PROPN
cet-14392	109	3	,	,	PUNCT
cet-14392	109	4	desmorat	desmorat	PROPN
cet-14392	109	5	r.	r.	PROPN
cet-14392	109	6	,	,	PUNCT
cet-14392	109	7	2008	2008	NUM
cet-14392	109	8	,	,	PUNCT
cet-14392	109	9	topology	topology	NOUN
cet-14392	109	10	optimization	optimization	NOUN
cet-14392	109	11	in	in	ADP
cet-14392	109	12	damage	damage	NOUN
cet-14392	109	13	governed	govern	VERB
cet-14392	109	14	low	low	ADJ
cet-14392	109	15	cycle	cycle	NOUN
cet-14392	109	16	fatigue	fatigue	NOUN
cet-14392	109	17	,	,	PUNCT
cet-14392	109	18	comptes	compte	VERB
cet-14392	109	19	rendus	rendus	PROPN
cet-14392	109	20	mécanique	mécanique	PROPN
cet-14392	109	21	,	,	PUNCT
cet-14392	109	22	336	336	NUM
cet-14392	109	23	,	,	PUNCT
cet-14392	109	24	448–453	448–453	NUM
cet-14392	109	25	.	.	PUNCT
cet-14392	110	1	dowling	dowle	VERB
cet-14392	110	2	n.e	n.e	PROPN
cet-14392	110	3	.	.	PROPN
cet-14392	110	4	,	,	PUNCT
cet-14392	110	5	2004	2004	NUM
cet-14392	110	6	,	,	PUNCT
cet-14392	110	7	mean	mean	VERB
cet-14392	110	8	stress	stress	NOUN
cet-14392	110	9	effects	effect	NOUN
cet-14392	110	10	in	in	ADP
cet-14392	110	11	stress	stress	NOUN
cet-14392	110	12	-	-	PUNCT
cet-14392	110	13	life	life	NOUN
cet-14392	110	14	and	and	CCONJ
cet-14392	110	15	strain	strain	NOUN
cet-14392	110	16	-	-	PUNCT
cet-14392	110	17	life	life	NOUN
cet-14392	110	18	fatigue	fatigue	NOUN
cet-14392	110	19	,	,	PUNCT
cet-14392	110	20	sae	sae	PROPN
cet-14392	110	21	technical	technical	ADJ
cet-14392	110	22	papers	paper	NOUN
cet-14392	110	23	,	,	PUNCT
cet-14392	110	24	doi	doi	NOUN
cet-14392	110	25	:	:	PUNCT
cet-14392	110	26	10.4271/2004	10.4271/2004	NUM
cet-14392	110	27	-	-	SYM
cet-14392	110	28	01	01	NUM
cet-14392	110	29	-	-	PUNCT
cet-14392	110	30	2227	2227	NUM
cet-14392	110	31	.	.	PUNCT
cet-14392	111	1	gao	gao	PROPN
cet-14392	111	2	x.	x.	PROPN
cet-14392	111	3	,	,	PUNCT
cet-14392	111	4	caivano	caivano	PROPN
cet-14392	111	5	r.	r.	PROPN
cet-14392	111	6	,	,	PUNCT
cet-14392	111	7	tridello	tridello	PROPN
cet-14392	111	8	a.	a.	PROPN
cet-14392	111	9	,	,	PUNCT
cet-14392	111	10	chiandussi	chiandussi	PROPN
cet-14392	111	11	g.	g.	PROPN
cet-14392	111	12	,	,	PUNCT
cet-14392	111	13	ma	ma	PROPN
cet-14392	111	14	h.	h.	PROPN
cet-14392	111	15	,	,	PUNCT
cet-14392	111	16	paolino	paolino	PROPN
cet-14392	111	17	d.	d.	PROPN
cet-14392	111	18	,	,	PUNCT
cet-14392	111	19	berto	berto	PROPN
cet-14392	111	20	f.	f.	PROPN
cet-14392	111	21	,	,	PUNCT
cet-14392	111	22	2021	2021	NUM
cet-14392	111	23	,	,	PUNCT
cet-14392	111	24	innovative	innovative	ADJ
cet-14392	111	25	formulation	formulation	NOUN
cet-14392	111	26	for	for	ADP
cet-14392	111	27	topological	topological	ADJ
cet-14392	111	28	fatigue	fatigue	NOUN
cet-14392	111	29	optimisation	optimisation	NOUN
cet-14392	111	30	based	base	VERB
cet-14392	111	31	on	on	ADP
cet-14392	111	32	material	material	NOUN
cet-14392	111	33	defects	defect	NOUN
cet-14392	111	34	distribution	distribution	NOUN
cet-14392	111	35	and	and	CCONJ
cet-14392	111	36	topfat	topfat	NOUN
cet-14392	111	37	algorithm	algorithm	NOUN
cet-14392	111	38	,	,	PUNCT
cet-14392	111	39	int	int	NOUN
cet-14392	111	40	j	j	PROPN
cet-14392	111	41	fatigue	fatigue	NOUN
cet-14392	111	42	,	,	PUNCT
cet-14392	111	43	147	147	NUM
cet-14392	111	44	,	,	PUNCT
cet-14392	111	45	106176	106176	NUM
cet-14392	111	46	.	.	PUNCT
cet-14392	112	1	guo	guo	PROPN
cet-14392	112	2	x.	x.	PROPN
cet-14392	112	3	,	,	PUNCT
cet-14392	112	4	zhang	zhang	PROPN
cet-14392	112	5	w.	w.	PROPN
cet-14392	112	6	,	,	PUNCT
cet-14392	112	7	zhong	zhong	PROPN
cet-14392	112	8	w.	w.	PROPN
cet-14392	112	9	,	,	PUNCT
cet-14392	112	10	2014	2014	NUM
cet-14392	112	11	,	,	PUNCT
cet-14392	112	12	doing	do	VERB
cet-14392	112	13	topology	topology	NOUN
cet-14392	112	14	optimization	optimization	NOUN
cet-14392	112	15	explicitly	explicitly	ADV
cet-14392	112	16	and	and	CCONJ
cet-14392	112	17	geometrically	geometrically	ADV
cet-14392	112	18	—	—	PUNCT
cet-14392	112	19	a	a	DET
cet-14392	112	20	new	new	ADJ
cet-14392	112	21	moving	move	VERB
cet-14392	112	22	morphable	morphable	ADJ
cet-14392	112	23	components	component	NOUN
cet-14392	112	24	based	base	VERB
cet-14392	112	25	framework	framework	NOUN
cet-14392	112	26	,	,	PUNCT
cet-14392	112	27	j	j	PROPN
cet-14392	112	28	appl	appl	PROPN
cet-14392	112	29	mech	mech	PROPN
cet-14392	112	30	,	,	PUNCT
cet-14392	112	31	81(8	81(8	NUM
cet-14392	112	32	)	)	PUNCT
cet-14392	112	33	,	,	PUNCT
cet-14392	112	34	081009	081009	NUM
cet-14392	112	35	,	,	PUNCT
cet-14392	112	36	doi	doi	NOUN
cet-14392	112	37	:	:	PUNCT
cet-14392	112	38	10.1115/1.4027609	10.1115/1.4027609	NUM
cet-14392	112	39	.	.	PUNCT
cet-14392	113	1	habashneh	habashneh	PROPN
cet-14392	113	2	m.	m.	NOUN
cet-14392	113	3	,	,	PUNCT
cet-14392	113	4	movahedi	movahedi	PROPN
cet-14392	113	5	rad	rad	PROPN
cet-14392	113	6	m.	m.	NOUN
cet-14392	113	7	,	,	PUNCT
cet-14392	113	8	2022	2022	NUM
cet-14392	113	9	,	,	PUNCT
cet-14392	113	10	reliability	reliability	NOUN
cet-14392	113	11	based	base	VERB
cet-14392	113	12	geometrically	geometrically	ADV
cet-14392	113	13	nonlinear	nonlinear	ADJ
cet-14392	113	14	bi	bi	ADJ
cet-14392	113	15	-	-	ADJ
cet-14392	113	16	directional	directional	ADJ
cet-14392	113	17	evolutionary	evolutionary	ADJ
cet-14392	113	18	structural	structural	ADJ
cet-14392	113	19	optimization	optimization	NOUN
cet-14392	113	20	of	of	ADP
cet-14392	113	21	elasto	elasto	NOUN
cet-14392	113	22	-	-	PUNCT
cet-14392	113	23	plastic	plastic	NOUN
cet-14392	113	24	material	material	NOUN
cet-14392	113	25	,	,	PUNCT
cet-14392	113	26	scientific	scientific	ADJ
cet-14392	113	27	reports	report	NOUN
cet-14392	113	28	,	,	PUNCT
cet-14392	113	29	12	12	NUM
cet-14392	113	30	,	,	PUNCT
cet-14392	113	31	5989	5989	NUM
cet-14392	113	32	,	,	PUNCT
cet-14392	113	33	doi	doi	NOUN
cet-14392	113	34	:	:	PUNCT
cet-14392	113	35	10.1038	10.1038	NUM
cet-14392	113	36	/	/	SYM
cet-14392	113	37	s41598	s41598	NOUN
cet-14392	113	38	-	-	PUNCT
cet-14392	113	39	02209612	02209612	NUM
cet-14392	113	40	-	-	PUNCT
cet-14392	113	41	z.	z.	PROPN
cet-14392	113	42	habashneh	habashneh	PROPN
cet-14392	113	43	m.	m.	NOUN
cet-14392	113	44	,	,	PUNCT
cet-14392	113	45	rad	rad	PROPN
cet-14392	113	46	m.m	m.m	PROPN
cet-14392	113	47	.	.	PROPN
cet-14392	113	48	,	,	PUNCT
cet-14392	113	49	2023	2023	NUM
cet-14392	113	50	,	,	PUNCT
cet-14392	113	51	reliability	reliability	NOUN
cet-14392	113	52	based	base	VERB
cet-14392	113	53	topology	topology	NOUN
cet-14392	113	54	optimization	optimization	NOUN
cet-14392	113	55	of	of	ADP
cet-14392	113	56	thermoelastic	thermoelastic	ADJ
cet-14392	113	57	structures	structure	NOUN
cet-14392	113	58	using	use	VERB
cet-14392	113	59	bidirectional	bidirectional	ADJ
cet-14392	113	60	evolutionary	evolutionary	ADJ
cet-14392	113	61	structural	structural	ADJ
cet-14392	113	62	optimization	optimization	NOUN
cet-14392	113	63	method	method	NOUN
cet-14392	113	64	,	,	PUNCT
cet-14392	113	65	international	international	ADJ
cet-14392	113	66	journal	journal	NOUN
cet-14392	113	67	of	of	ADP
cet-14392	113	68	mechanics	mechanic	NOUN
cet-14392	113	69	sand	sand	NOUN
cet-14392	113	70	materials	material	NOUN
cet-14392	113	71	in	in	ADP
cet-14392	113	72	design	design	NOUN
cet-14392	113	73	,	,	PUNCT
cet-14392	113	74	19	19	NUM
cet-14392	113	75	,	,	PUNCT
cet-14392	113	76	605–620	605–620	NUM
cet-14392	113	77	.	.	PUNCT
cet-14392	114	1	jeong	jeong	PROPN
cet-14392	114	2	s.h	s.h	AUX
cet-14392	114	3	.	.	PROPN
cet-14392	114	4	,	,	PUNCT
cet-14392	114	5	choi	choi	PROPN
cet-14392	114	6	d.h	d.h	PROPN
cet-14392	114	7	.	.	PROPN
cet-14392	114	8	,	,	PUNCT
cet-14392	114	9	yoon	yoon	PROPN
cet-14392	114	10	g.h	g.h	PROPN
cet-14392	114	11	.	.	PROPN
cet-14392	114	12	,	,	PUNCT
cet-14392	114	13	2015	2015	NUM
cet-14392	114	14	,	,	PUNCT
cet-14392	114	15	fatigue	fatigue	NOUN
cet-14392	114	16	and	and	CCONJ
cet-14392	114	17	static	static	ADJ
cet-14392	114	18	failure	failure	NOUN
cet-14392	114	19	considerations	consideration	NOUN
cet-14392	114	20	using	use	VERB
cet-14392	114	21	a	a	DET
cet-14392	114	22	topology	topology	NOUN
cet-14392	114	23	optimization	optimization	NOUN
cet-14392	114	24	method	method	NOUN
cet-14392	114	25	,	,	PUNCT
cet-14392	114	26	appl	appl	PROPN
cet-14392	114	27	math	math	PROPN
cet-14392	114	28	model	model	NOUN
cet-14392	114	29	39	39	NUM
cet-14392	114	30	,	,	PUNCT
cet-14392	114	31	1137–1162	1137–1162	NUM
cet-14392	114	32	.	.	PUNCT
cet-14392	115	1	movahedi	movahedi	PROPN
cet-14392	115	2	rad	rad	PROPN
cet-14392	115	3	m.	m.	PROPN
cet-14392	115	4	,	,	PUNCT
cet-14392	115	5	habashneh	habashneh	PROPN
cet-14392	115	6	m.	m.	NOUN
cet-14392	115	7	,	,	PUNCT
cet-14392	115	8	lógó	lógó	PROPN
cet-14392	115	9	j.	j.	PROPN
cet-14392	115	10	,	,	PUNCT
cet-14392	115	11	2021	2021	NUM
cet-14392	115	12	,	,	PUNCT
cet-14392	115	13	elasto	elasto	NOUN
cet-14392	115	14	-	-	PUNCT
cet-14392	115	15	plastic	plastic	NOUN
cet-14392	115	16	limit	limit	NOUN
cet-14392	115	17	analysis	analysis	NOUN
cet-14392	115	18	of	of	ADP
cet-14392	115	19	reliability	reliability	NOUN
cet-14392	115	20	based	base	VERB
cet-14392	115	21	geometrically	geometrically	ADV
cet-14392	115	22	nonlinear	nonlinear	ADJ
cet-14392	115	23	bi	bi	ADJ
cet-14392	115	24	-	-	ADJ
cet-14392	115	25	directional	directional	ADJ
cet-14392	115	26	evolutionary	evolutionary	ADJ
cet-14392	115	27	topology	topology	NOUN
cet-14392	115	28	optimization	optimization	NOUN
cet-14392	115	29	,	,	PUNCT
cet-14392	115	30	structures	structure	NOUN
cet-14392	115	31	,	,	PUNCT
cet-14392	115	32	34	34	NUM
cet-14392	115	33	,	,	PUNCT
cet-14392	115	34	1720–1733	1720–1733	NUM
cet-14392	115	35	.	.	PUNCT
cet-14392	116	1	nabaki	nabaki	PROPN
cet-14392	116	2	k.	k.	PROPN
cet-14392	116	3	,	,	PUNCT
cet-14392	116	4	shen	shen	PROPN
cet-14392	116	5	j.	j.	PROPN
cet-14392	116	6	,	,	PUNCT
cet-14392	116	7	huang	huang	PROPN
cet-14392	116	8	x.	x.	PROPN
cet-14392	116	9	,	,	PUNCT
cet-14392	116	10	2019	2019	NUM
cet-14392	116	11	,	,	PUNCT
cet-14392	116	12	evolutionary	evolutionary	ADJ
cet-14392	116	13	topology	topology	NOUN
cet-14392	116	14	optimization	optimization	NOUN
cet-14392	116	15	of	of	ADP
cet-14392	116	16	continuum	continuum	ADJ
cet-14392	116	17	structures	structure	NOUN
cet-14392	116	18	considering	consider	VERB
cet-14392	116	19	fatigue	fatigue	NOUN
cet-14392	116	20	failure	failure	NOUN
cet-14392	116	21	,	,	PUNCT
cet-14392	116	22	mater	mater	NOUN
cet-14392	116	23	des	des	PROPN
cet-14392	116	24	,	,	PUNCT
cet-14392	116	25	166	166	NUM
cet-14392	116	26	,	,	PUNCT
cet-14392	116	27	107586	107586	NUM
cet-14392	116	28	.	.	PUNCT
cet-14392	117	1	querin	querin	PROPN
cet-14392	117	2	o.m	o.m	PROPN
cet-14392	117	3	.	.	PROPN
cet-14392	117	4	,	,	PUNCT
cet-14392	117	5	steven	steven	PROPN
cet-14392	117	6	g.p	g.p	PROPN
cet-14392	117	7	.	.	PROPN
cet-14392	117	8	,	,	PUNCT
cet-14392	117	9	xie	xie	PROPN
cet-14392	117	10	y.m	y.m	PROPN
cet-14392	117	11	.	.	PROPN
cet-14392	117	12	,	,	PUNCT
cet-14392	117	13	1998	1998	NUM
cet-14392	117	14	,	,	PUNCT
cet-14392	117	15	evolutionary	evolutionary	ADJ
cet-14392	117	16	structural	structural	ADJ
cet-14392	117	17	optimisation	optimisation	NOUN
cet-14392	117	18	(	(	PUNCT
cet-14392	117	19	eso	eso	NOUN
cet-14392	117	20	)	)	PUNCT
cet-14392	117	21	using	use	VERB
cet-14392	117	22	a	a	DET
cet-14392	117	23	bidirectional	bidirectional	ADJ
cet-14392	117	24	algorithm	algorithm	NOUN
cet-14392	117	25	,	,	PUNCT
cet-14392	117	26	eng	eng	PROPN
cet-14392	117	27	comput	comput	NOUN
cet-14392	117	28	,	,	PUNCT
cet-14392	117	29	15	15	NUM
cet-14392	117	30	,	,	PUNCT
cet-14392	117	31	1031–1048	1031–1048	NUM
cet-14392	117	32	,	,	PUNCT
cet-14392	117	33	doi	doi	NOUN
cet-14392	117	34	:	:	PUNCT
cet-14392	117	35	10.1108/02644409810244129	10.1108/02644409810244129	NUM
cet-14392	117	36	.	.	PUNCT
cet-14392	118	1	sethian	sethian	PROPN
cet-14392	118	2	j.a	j.a	PROPN
cet-14392	118	3	.	.	PROPN
cet-14392	118	4	,	,	PUNCT
cet-14392	118	5	1999	1999	NUM
cet-14392	118	6	,	,	PUNCT
cet-14392	118	7	level	level	NOUN
cet-14392	118	8	set	set	NOUN
cet-14392	118	9	methods	method	NOUN
cet-14392	118	10	and	and	CCONJ
cet-14392	118	11	fast	fast	ADJ
cet-14392	118	12	marching	marching	NOUN
cet-14392	118	13	methods	method	NOUN
cet-14392	118	14	:	:	PUNCT
cet-14392	118	15	evolving	evolve	VERB
cet-14392	118	16	interfaces	interface	NOUN
cet-14392	118	17	in	in	ADP
cet-14392	118	18	computational	computational	ADJ
cet-14392	118	19	geometry	geometry	NOUN
cet-14392	118	20	,	,	PUNCT
cet-14392	118	21	fluid	fluid	ADJ
cet-14392	118	22	mechanics	mechanic	NOUN
cet-14392	118	23	,	,	PUNCT
cet-14392	118	24	computer	computer	NOUN
cet-14392	118	25	vision	vision	NOUN
cet-14392	118	26	,	,	PUNCT
cet-14392	118	27	and	and	CCONJ
cet-14392	118	28	materials	material	NOUN
cet-14392	118	29	science	science	NOUN
cet-14392	118	30	,	,	PUNCT
cet-14392	118	31	cambridge	cambridge	PROPN
cet-14392	118	32	university	university	PROPN
cet-14392	118	33	press	press	PROPN
cet-14392	118	34	,	,	PUNCT
cet-14392	118	35	cambridge	cambridge	PROPN
cet-14392	118	36	,	,	PUNCT
cet-14392	118	37	united	united	ADJ
cet-14392	118	38	kingdom	kingdom	PROPN
cet-14392	118	39	.	.	PUNCT
cet-14392	119	1	wang	wang	PROPN
cet-14392	119	2	t.	t.	PROPN
cet-14392	119	3	,	,	PUNCT
cet-14392	119	4	zhang	zhang	PROPN
cet-14392	119	5	h.	h.	PROPN
cet-14392	119	6	,	,	PUNCT
cet-14392	119	7	tian	tian	PROPN
cet-14392	119	8	l.	l.	PROPN
cet-14392	119	9	,	,	PUNCT
cet-14392	119	10	yin	yin	PROPN
cet-14392	119	11	c.	c.	PROPN
cet-14392	119	12	,	,	PUNCT
cet-14392	119	13	yu	yu	PROPN
cet-14392	119	14	f.	f.	PROPN
cet-14392	119	15	,	,	PUNCT
cet-14392	119	16	2016	2016	NUM
cet-14392	119	17	,	,	PUNCT
cet-14392	119	18	study	study	VERB
cet-14392	119	19	on	on	ADP
cet-14392	119	20	fatigue	fatigue	NOUN
cet-14392	119	21	performance	performance	NOUN
cet-14392	119	22	of	of	ADP
cet-14392	119	23	concrete	concrete	ADJ
cet-14392	119	24	highway	highway	NOUN
cet-14392	119	25	bridge	bridge	NOUN
cet-14392	119	26	under	under	ADP
cet-14392	119	27	corrosive	corrosive	ADJ
cet-14392	119	28	environment	environment	NOUN
cet-14392	119	29	,	,	PUNCT
cet-14392	119	30	chemical	chemical	NOUN
cet-14392	119	31	engineering	engineering	NOUN
cet-14392	119	32	transactions	transaction	NOUN
cet-14392	119	33	,	,	PUNCT
cet-14392	119	34	55	55	NUM
cet-14392	119	35	,	,	PUNCT
cet-14392	119	36	373–378	373–378	NUM
cet-14392	119	37	,	,	PUNCT
cet-14392	119	38	doi	doi	NOUN
cet-14392	119	39	:	:	PUNCT
cet-14392	119	40	10.3303	10.3303	NUM
cet-14392	119	41	/	/	SYM
cet-14392	119	42	cet1655063	cet1655063	NOUN
cet-14392	119	43	.	.	PUNCT
cet-14392	120	1	xie	xie	PROPN
cet-14392	120	2	y.m	y.m	PROPN
cet-14392	120	3	.	.	PROPN
cet-14392	120	4	,	,	PUNCT
cet-14392	120	5	steven	steven	PROPN
cet-14392	120	6	g.p	g.p	PROPN
cet-14392	120	7	.	.	PROPN
cet-14392	120	8	,	,	PUNCT
cet-14392	120	9	1993	1993	NUM
cet-14392	120	10	,	,	PUNCT
cet-14392	120	11	a	a	DET
cet-14392	120	12	simple	simple	ADJ
cet-14392	120	13	evolutionary	evolutionary	ADJ
cet-14392	120	14	procedure	procedure	NOUN
cet-14392	120	15	for	for	ADP
cet-14392	120	16	structural	structural	ADJ
cet-14392	120	17	optimization	optimization	NOUN
cet-14392	120	18	,	,	PUNCT
cet-14392	120	19	comput	comput	NOUN
cet-14392	120	20	struct	struct	NOUN
cet-14392	120	21	,	,	PUNCT
cet-14392	120	22	49	49	NUM
cet-14392	120	23	,	,	PUNCT
cet-14392	120	24	885–896	885–896	NUM
cet-14392	120	25	.	.	PUNCT
cet-14392	120	26	618	618	NUM