id	sid	tid	token	lemma	pos
american_scientific_journal-1184	1	1	american	american	PROPN
american_scientific_journal-1184	1	2	scientific	scientific	ADJ
american_scientific_journal-1184	1	3	research	research	NOUN
american_scientific_journal-1184	1	4	journal	journal	NOUN
american_scientific_journal-1184	1	5	for	for	ADP
american_scientific_journal-1184	1	6	engineering	engineering	NOUN
american_scientific_journal-1184	1	7	,	,	PUNCT
american_scientific_journal-1184	1	8	technology	technology	NOUN
american_scientific_journal-1184	1	9	,	,	PUNCT
american_scientific_journal-1184	1	10	and	and	CCONJ
american_scientific_journal-1184	1	11	sciences	science	NOUN
american_scientific_journal-1184	1	12	(	(	PUNCT
american_scientific_journal-1184	1	13	asrjets	asrjet	NOUN
american_scientific_journal-1184	1	14	)	)	PUNCT
american_scientific_journal-1184	1	15	issn	issn	PROPN
american_scientific_journal-1184	1	16	(	(	PUNCT
american_scientific_journal-1184	1	17	print	print	NOUN
american_scientific_journal-1184	1	18	)	)	PUNCT
american_scientific_journal-1184	1	19	2313	2313	NUM
american_scientific_journal-1184	1	20	-	-	SYM
american_scientific_journal-1184	1	21	4410	4410	NUM
american_scientific_journal-1184	1	22	,	,	PUNCT
american_scientific_journal-1184	1	23	issn	issn	PROPN
american_scientific_journal-1184	1	24	(	(	PUNCT
american_scientific_journal-1184	1	25	online	online	ADJ
american_scientific_journal-1184	1	26	)	)	PUNCT
american_scientific_journal-1184	1	27	2313	2313	NUM
american_scientific_journal-1184	1	28	-	-	SYM
american_scientific_journal-1184	1	29	4402	4402	NUM
american_scientific_journal-1184	1	30	©	©	PROPN
american_scientific_journal-1184	1	31	global	global	ADJ
american_scientific_journal-1184	1	32	society	society	NOUN
american_scientific_journal-1184	1	33	of	of	ADP
american_scientific_journal-1184	1	34	scientific	scientific	ADJ
american_scientific_journal-1184	1	35	research	research	NOUN
american_scientific_journal-1184	1	36	and	and	CCONJ
american_scientific_journal-1184	1	37	researchers	researcher	NOUN
american_scientific_journal-1184	1	38	http://asrjetsjournal.org/	http://asrjetsjournal.org/	NOUN
american_scientific_journal-1184	1	39	determination	determination	NOUN
american_scientific_journal-1184	1	40	of	of	ADP
american_scientific_journal-1184	1	41	springback	springback	NOUN
american_scientific_journal-1184	1	42	values	value	NOUN
american_scientific_journal-1184	1	43	in	in	ADP
american_scientific_journal-1184	1	44	bending	bend	VERB
american_scientific_journal-1184	1	45	i	i	PROPN
american_scientific_journal-1184	1	46	-	-	PUNCT
american_scientific_journal-1184	1	47	sections	section	NOUN
american_scientific_journal-1184	1	48	with	with	ADP
american_scientific_journal-1184	1	49	tresca	tresca	NOUN
american_scientific_journal-1184	1	50	criteria	criterion	NOUN
american_scientific_journal-1184	1	51	reham	reham	NOUN
american_scientific_journal-1184	1	52	saleha	saleha	NOUN
american_scientific_journal-1184	1	53	*	*	PROPN
american_scientific_journal-1184	1	54	,	,	PUNCT
american_scientific_journal-1184	1	55	gamal	gamal	PROPN
american_scientific_journal-1184	1	56	ali	ali	PROPN
american_scientific_journal-1184	1	57	b	b	PROPN
american_scientific_journal-1184	1	58	,	,	PUNCT
american_scientific_journal-1184	1	59	abla	abla	PROPN
american_scientific_journal-1184	1	60	el	el	PROPN
american_scientific_journal-1184	1	61	-	-	PUNCT
american_scientific_journal-1184	1	62	megharbelc	megharbelc	ADJ
american_scientific_journal-1184	1	63	aspeacliast	aspeacliast	ADJ
american_scientific_journal-1184	1	64	third	third	ADJ
american_scientific_journal-1184	1	65	engineer	engineer	NOUN
american_scientific_journal-1184	1	66	at	at	ADP
american_scientific_journal-1184	1	67	el	el	PROPN
american_scientific_journal-1184	1	68	-	-	PUNCT
american_scientific_journal-1184	1	69	max	max	PROPN
american_scientific_journal-1184	1	70	salines	salines	PROPN
american_scientific_journal-1184	1	71	,	,	PUNCT
american_scientific_journal-1184	1	72	el	el	PROPN
american_scientific_journal-1184	1	73	-	-	PUNCT
american_scientific_journal-1184	1	74	max	max	PROPN
american_scientific_journal-1184	1	75	salines	saline	NOUN
american_scientific_journal-1184	1	76	,	,	PUNCT
american_scientific_journal-1184	1	77	port	port	NOUN
american_scientific_journal-1184	1	78	said	say	VERB
american_scientific_journal-1184	1	79	42523	42523	NUM
american_scientific_journal-1184	1	80	,	,	PUNCT
american_scientific_journal-1184	1	81	egypt	egypt	PROPN
american_scientific_journal-1184	1	82	b	b	PROPN
american_scientific_journal-1184	1	83	,	,	PUNCT
american_scientific_journal-1184	1	84	cassocaite	cassocaite	PROPN
american_scientific_journal-1184	1	85	prof	prof	NOUN
american_scientific_journal-1184	1	86	.	.	PUNCT
american_scientific_journal-1184	2	1	prod	prod	PROPN
american_scientific_journal-1184	2	2	.	.	PUNCT
american_scientific_journal-1184	3	1	eng	eng	PROPN
american_scientific_journal-1184	3	2	.	.	PROPN
american_scientific_journal-1184	3	3	dept	dept	PROPN
american_scientific_journal-1184	3	4	.	.	PROPN
american_scientific_journal-1184	3	5	,port	,port	PUNCT
american_scientific_journal-1184	3	6	said	say	VERB
american_scientific_journal-1184	3	7	university	university	NOUN
american_scientific_journal-1184	3	8	,	,	PUNCT
american_scientific_journal-1184	3	9	portsaid	portsaid	VERB
american_scientific_journal-1184	3	10	42523	42523	NUM
american_scientific_journal-1184	3	11	,	,	PUNCT
american_scientific_journal-1184	3	12	egypt	egypt	PROPN
american_scientific_journal-1184	3	13	aemail	aemail	NOUN
american_scientific_journal-1184	3	14	:	:	PUNCT
american_scientific_journal-1184	4	1	rsaleh@yahoo.com	rsaleh@yahoo.com	X
american_scientific_journal-1184	4	2	bemail	bemail	NOUN
american_scientific_journal-1184	4	3	:	:	PUNCT
american_scientific_journal-1184	4	4	gamal_osmun@yahoo.com	gamal_osmun@yahoo.com	X
american_scientific_journal-1184	4	5	cemail	cemail	NOUN
american_scientific_journal-1184	4	6	:	:	PUNCT
american_scientific_journal-1184	4	7	aelmegharbel@eng.psu.edu.eg	aelmegharbel@eng.psu.edu.eg	NOUN
american_scientific_journal-1184	4	8	abstract	abstract	VERB
american_scientific_journal-1184	4	9	the	the	DET
american_scientific_journal-1184	4	10	springback	springback	NOUN
american_scientific_journal-1184	4	11	ratio	ratio	NOUN
american_scientific_journal-1184	4	12	for	for	ADP
american_scientific_journal-1184	4	13	bending	bend	VERB
american_scientific_journal-1184	4	14	i	i	PROPN
american_scientific_journal-1184	4	15	-	-	PUNCT
american_scientific_journal-1184	4	16	section	section	NOUN
american_scientific_journal-1184	4	17	beams	beam	NOUN
american_scientific_journal-1184	4	18	is	be	AUX
american_scientific_journal-1184	4	19	introduced	introduce	VERB
american_scientific_journal-1184	4	20	analytically	analytically	ADV
american_scientific_journal-1184	4	21	in	in	ADP
american_scientific_journal-1184	4	22	the	the	DET
american_scientific_journal-1184	4	23	present	present	ADJ
american_scientific_journal-1184	4	24	study	study	NOUN
american_scientific_journal-1184	4	25	.	.	PUNCT
american_scientific_journal-1184	5	1	a	a	DET
american_scientific_journal-1184	5	2	complete	complete	ADJ
american_scientific_journal-1184	5	3	analysis	analysis	NOUN
american_scientific_journal-1184	5	4	using	use	VERB
american_scientific_journal-1184	5	5	the	the	DET
american_scientific_journal-1184	5	6	strength	strength	NOUN
american_scientific_journal-1184	5	7	of	of	ADP
american_scientific_journal-1184	5	8	materials	material	NOUN
american_scientific_journal-1184	5	9	approach	approach	NOUN
american_scientific_journal-1184	5	10	is	be	AUX
american_scientific_journal-1184	5	11	carried	carry	VERB
american_scientific_journal-1184	5	12	out	out	ADP
american_scientific_journal-1184	5	13	with	with	ADP
american_scientific_journal-1184	5	14	tresca	tresca	NOUN
american_scientific_journal-1184	5	15	yielding	yield	VERB
american_scientific_journal-1184	5	16	criteria	criterion	NOUN
american_scientific_journal-1184	5	17	.	.	PUNCT
american_scientific_journal-1184	6	1	analytical	analytical	ADJ
american_scientific_journal-1184	6	2	methods	method	NOUN
american_scientific_journal-1184	6	3	are	be	AUX
american_scientific_journal-1184	6	4	given	give	VERB
american_scientific_journal-1184	6	5	in	in	ADP
american_scientific_journal-1184	6	6	the	the	DET
american_scientific_journal-1184	6	7	form	form	NOUN
american_scientific_journal-1184	6	8	of	of	ADP
american_scientific_journal-1184	6	9	equations	equation	NOUN
american_scientific_journal-1184	6	10	for	for	ADP
american_scientific_journal-1184	6	11	two	two	NUM
american_scientific_journal-1184	6	12	cases	case	NOUN
american_scientific_journal-1184	6	13	according	accord	VERB
american_scientific_journal-1184	6	14	to	to	ADP
american_scientific_journal-1184	6	15	the	the	DET
american_scientific_journal-1184	6	16	positions	position	NOUN
american_scientific_journal-1184	6	17	of	of	ADP
american_scientific_journal-1184	6	18	the	the	DET
american_scientific_journal-1184	6	19	yield	yield	NOUN
american_scientific_journal-1184	6	20	point	point	NOUN
american_scientific_journal-1184	6	21	along	along	ADP
american_scientific_journal-1184	6	22	the	the	DET
american_scientific_journal-1184	6	23	height	height	NOUN
american_scientific_journal-1184	6	24	of	of	ADP
american_scientific_journal-1184	6	25	the	the	DET
american_scientific_journal-1184	6	26	beam	beam	NOUN
american_scientific_journal-1184	6	27	.	.	PUNCT
american_scientific_journal-1184	7	1	the	the	DET
american_scientific_journal-1184	7	2	results	result	NOUN
american_scientific_journal-1184	7	3	represent	represent	VERB
american_scientific_journal-1184	7	4	the	the	DET
american_scientific_journal-1184	7	5	effect	effect	NOUN
american_scientific_journal-1184	7	6	of	of	ADP
american_scientific_journal-1184	7	7	different	different	ADJ
american_scientific_journal-1184	7	8	parameters	parameter	NOUN
american_scientific_journal-1184	7	9	affecting	affect	VERB
american_scientific_journal-1184	7	10	the	the	DET
american_scientific_journal-1184	7	11	springback	springback	NOUN
american_scientific_journal-1184	7	12	ratio	ratio	NOUN
american_scientific_journal-1184	7	13	.	.	PUNCT
american_scientific_journal-1184	8	1	keywords	keyword	NOUN
american_scientific_journal-1184	8	2	:	:	PUNCT
american_scientific_journal-1184	8	3	bending	bend	VERB
american_scientific_journal-1184	8	4	sections	section	NOUN
american_scientific_journal-1184	8	5	;	;	PUNCT
american_scientific_journal-1184	8	6	springback	springback	VERB
american_scientific_journal-1184	8	7	;	;	PUNCT
american_scientific_journal-1184	8	8	i	i	PRON
american_scientific_journal-1184	8	9	sections	section	NOUN
american_scientific_journal-1184	8	10	;	;	PUNCT
american_scientific_journal-1184	8	11	tresca	tresca	NOUN
american_scientific_journal-1184	8	12	.	.	PUNCT
american_scientific_journal-1184	9	1	1	1	X
american_scientific_journal-1184	9	2	.	.	X
american_scientific_journal-1184	9	3	introduction	introduction	NOUN
american_scientific_journal-1184	9	4	bending	bending	NOUN
american_scientific_journal-1184	9	5	of	of	ADP
american_scientific_journal-1184	9	6	different	different	ADJ
american_scientific_journal-1184	9	7	sections	section	NOUN
american_scientific_journal-1184	9	8	shape	shape	NOUN
american_scientific_journal-1184	9	9	is	be	AUX
american_scientific_journal-1184	9	10	one	one	NUM
american_scientific_journal-1184	9	11	of	of	ADP
american_scientific_journal-1184	9	12	the	the	DET
american_scientific_journal-1184	9	13	most	most	ADV
american_scientific_journal-1184	9	14	widely	widely	ADV
american_scientific_journal-1184	9	15	applied	apply	VERB
american_scientific_journal-1184	9	16	metal	metal	NOUN
american_scientific_journal-1184	9	17	forming	form	VERB
american_scientific_journal-1184	9	18	operations	operation	NOUN
american_scientific_journal-1184	9	19	.	.	PUNCT
american_scientific_journal-1184	10	1	in	in	ADP
american_scientific_journal-1184	10	2	the	the	DET
american_scientific_journal-1184	10	3	fabrication	fabrication	NOUN
american_scientific_journal-1184	10	4	of	of	ADP
american_scientific_journal-1184	10	5	metals	metal	NOUN
american_scientific_journal-1184	10	6	,	,	PUNCT
american_scientific_journal-1184	10	7	the	the	DET
american_scientific_journal-1184	10	8	elastic	elastic	ADJ
american_scientific_journal-1184	10	9	recoveries	recovery	NOUN
american_scientific_journal-1184	10	10	after	after	ADP
american_scientific_journal-1184	10	11	unload	unload	NOUN
american_scientific_journal-1184	10	12	causing	cause	VERB
american_scientific_journal-1184	10	13	the	the	DET
american_scientific_journal-1184	10	14	springback	springback	NOUN
american_scientific_journal-1184	10	15	phenomenon	phenomenon	NOUN
american_scientific_journal-1184	10	16	in	in	ADP
american_scientific_journal-1184	10	17	which	which	PRON
american_scientific_journal-1184	10	18	the	the	DET
american_scientific_journal-1184	10	19	radius	radius	NOUN
american_scientific_journal-1184	10	20	of	of	ADP
american_scientific_journal-1184	10	21	curvature	curvature	NOUN
american_scientific_journal-1184	10	22	in	in	ADP
american_scientific_journal-1184	10	23	bending	bend	VERB
american_scientific_journal-1184	10	24	increases	increase	NOUN
american_scientific_journal-1184	10	25	after	after	SCONJ
american_scientific_journal-1184	10	26	the	the	DET
american_scientific_journal-1184	10	27	bending	bend	VERB
american_scientific_journal-1184	10	28	moment	moment	NOUN
american_scientific_journal-1184	10	29	is	be	AUX
american_scientific_journal-1184	10	30	removed	remove	VERB
american_scientific_journal-1184	10	31	.	.	PUNCT
american_scientific_journal-1184	11	1	therefore	therefore	ADV
american_scientific_journal-1184	11	2	,	,	PUNCT
american_scientific_journal-1184	11	3	the	the	DET
american_scientific_journal-1184	11	4	precise	precise	ADJ
american_scientific_journal-1184	11	5	prediction	prediction	NOUN
american_scientific_journal-1184	11	6	of	of	ADP
american_scientific_journal-1184	11	7	springback	springback	NOUN
american_scientific_journal-1184	11	8	is	be	AUX
american_scientific_journal-1184	11	9	a	a	DET
american_scientific_journal-1184	11	10	key	key	NOUN
american_scientific_journal-1184	11	11	to	to	ADP
american_scientific_journal-1184	11	12	assessing	assess	VERB
american_scientific_journal-1184	11	13	the	the	DET
american_scientific_journal-1184	11	14	accuracy	accuracy	NOUN
american_scientific_journal-1184	11	15	of	of	ADP
american_scientific_journal-1184	11	16	part	part	NOUN
american_scientific_journal-1184	11	17	geometry	geometry	NOUN
american_scientific_journal-1184	11	18	.	.	PUNCT
american_scientific_journal-1184	12	1	many	many	ADJ
american_scientific_journal-1184	12	2	analyses	analysis	NOUN
american_scientific_journal-1184	12	3	have	have	AUX
american_scientific_journal-1184	12	4	been	be	AUX
american_scientific_journal-1184	12	5	carried	carry	VERB
american_scientific_journal-1184	12	6	done	do	VERB
american_scientific_journal-1184	12	7	to	to	PART
american_scientific_journal-1184	12	8	calculate	calculate	VERB
american_scientific_journal-1184	12	9	and	and	CCONJ
american_scientific_journal-1184	12	10	investigate	investigate	VERB
american_scientific_journal-1184	12	11	the	the	DET
american_scientific_journal-1184	12	12	springback	springback	NOUN
american_scientific_journal-1184	12	13	phenomenon	phenomenon	NOUN
american_scientific_journal-1184	12	14	in	in	ADP
american_scientific_journal-1184	12	15	bending	bend	VERB
american_scientific_journal-1184	12	16	different	different	ADJ
american_scientific_journal-1184	12	17	sections	section	NOUN
american_scientific_journal-1184	12	18	.	.	PUNCT
american_scientific_journal-1184	13	1	moon	moon	NOUN
american_scientific_journal-1184	13	2	and	and	CCONJ
american_scientific_journal-1184	13	3	his	his	PRON
american_scientific_journal-1184	13	4	colleagues	colleague	NOUN
american_scientific_journal-1184	14	1	[	[	X
american_scientific_journal-1184	14	2	1	1	X
american_scientific_journal-1184	14	3	]	]	PUNCT
american_scientific_journal-1184	14	4	have	have	AUX
american_scientific_journal-1184	14	5	investigated	investigate	VERB
american_scientific_journal-1184	14	6	the	the	DET
american_scientific_journal-1184	14	7	effect	effect	NOUN
american_scientific_journal-1184	14	8	of	of	ADP
american_scientific_journal-1184	14	9	tool	tool	NOUN
american_scientific_journal-1184	14	10	temperature	temperature	NOUN
american_scientific_journal-1184	14	11	on	on	ADP
american_scientific_journal-1184	14	12	the	the	DET
american_scientific_journal-1184	14	13	reduction	reduction	NOUN
american_scientific_journal-1184	14	14	of	of	ADP
american_scientific_journal-1184	14	15	springback	springback	NOUN
american_scientific_journal-1184	14	16	amount	amount	NOUN
american_scientific_journal-1184	14	17	of	of	ADP
american_scientific_journal-1184	14	18	aluminum	aluminum	NOUN
american_scientific_journal-1184	14	19	1050	1050	NUM
american_scientific_journal-1184	14	20	sheet	sheet	NOUN
american_scientific_journal-1184	14	21	.	.	PUNCT
american_scientific_journal-1184	15	1	emphases	emphasis	NOUN
american_scientific_journal-1184	15	2	are	be	AUX
american_scientific_journal-1184	15	3	placed	place	VERB
american_scientific_journal-1184	15	4	on	on	ADP
american_scientific_journal-1184	15	5	the	the	DET
american_scientific_journal-1184	15	6	reduction	reduction	NOUN
american_scientific_journal-1184	15	7	of	of	ADP
american_scientific_journal-1184	15	8	springback	springback	NOUN
american_scientific_journal-1184	15	9	amount	amount	NOUN
american_scientific_journal-1184	15	10	in	in	ADP
american_scientific_journal-1184	15	11	terms	term	NOUN
american_scientific_journal-1184	15	12	of	of	ADP
american_scientific_journal-1184	15	13	combination	combination	NOUN
american_scientific_journal-1184	15	14	of	of	ADP
american_scientific_journal-1184	15	15	die	die	VERB
american_scientific_journal-1184	15	16	and	and	CCONJ
american_scientific_journal-1184	15	17	punch	punch	VERB
american_scientific_journal-1184	15	18	temperature	temperature	NOUN
american_scientific_journal-1184	15	19	.	.	PUNCT
american_scientific_journal-1184	16	1	it	it	PRON
american_scientific_journal-1184	16	2	was	be	AUX
american_scientific_journal-1184	16	3	found	find	VERB
american_scientific_journal-1184	16	4	that	that	SCONJ
american_scientific_journal-1184	16	5	the	the	DET
american_scientific_journal-1184	16	6	combination	combination	NOUN
american_scientific_journal-1184	16	7	of	of	ADP
american_scientific_journal-1184	16	8	hot	hot	ADJ
american_scientific_journal-1184	16	9	die	die	NOUN
american_scientific_journal-1184	16	10	and	and	CCONJ
american_scientific_journal-1184	16	11	cold	cold	ADJ
american_scientific_journal-1184	16	12	punch	punch	NOUN
american_scientific_journal-1184	16	13	can	can	AUX
american_scientific_journal-1184	16	14	reduce	reduce	VERB
american_scientific_journal-1184	16	15	the	the	DET
american_scientific_journal-1184	16	16	amount	amount	NOUN
american_scientific_journal-1184	16	17	of	of	ADP
american_scientific_journal-1184	16	18	springback	springback	NOUN
american_scientific_journal-1184	16	19	up	up	ADV
american_scientific_journal-1184	16	20	to	to	PART
american_scientific_journal-1184	16	21	20	20	NUM
american_scientific_journal-1184	16	22	%	%	NOUN
american_scientific_journal-1184	16	23	when	when	SCONJ
american_scientific_journal-1184	16	24	compared	compare	VERB
american_scientific_journal-1184	16	25	to	to	ADP
american_scientific_journal-1184	16	26	conventional	conventional	ADJ
american_scientific_journal-1184	16	27	room	room	NOUN
american_scientific_journal-1184	16	28	temperature	temperature	NOUN
american_scientific_journal-1184	16	29	bending	bend	VERB
american_scientific_journal-1184	16	30	test	test	NOUN
american_scientific_journal-1184	16	31	.	.	PUNCT
american_scientific_journal-1184	17	1	while	while	SCONJ
american_scientific_journal-1184	17	2	t.	t.	PROPN
american_scientific_journal-1184	17	3	liu	liu	PROPN
american_scientific_journal-1184	17	4	and	and	CCONJ
american_scientific_journal-1184	17	5	his	his	PRON
american_scientific_journal-1184	17	6	colleagues	colleague	NOUN
american_scientific_journal-1184	17	7	[	[	X
american_scientific_journal-1184	17	8	2	2	X
american_scientific_journal-1184	17	9	]	]	PUNCT
american_scientific_journal-1184	17	10	have	have	AUX
american_scientific_journal-1184	17	11	studied	study	VERB
american_scientific_journal-1184	17	12	the	the	DET
american_scientific_journal-1184	17	13	springback	springback	NOUN
american_scientific_journal-1184	17	14	behaviors	behavior	NOUN
american_scientific_journal-1184	17	15	of	of	ADP
american_scientific_journal-1184	17	16	the	the	DET
american_scientific_journal-1184	17	17	age	age	NOUN
american_scientific_journal-1184	17	18	-	-	PUNCT
american_scientific_journal-1184	17	19	hardened	harden	VERB
american_scientific_journal-1184	17	20	2196	2196	NUM
american_scientific_journal-1184	17	21	-	-	SYM
american_scientific_journal-1184	17	22	t8511	t8511	NUM
american_scientific_journal-1184	17	23	and	and	CCONJ
american_scientific_journal-1184	17	24	2099	2099	NUM
american_scientific_journal-1184	17	25	-	-	PUNCT
american_scientific_journal-1184	17	26	t83	t83	NOUN
american_scientific_journal-1184	17	27	al	al	PROPN
american_scientific_journal-1184	17	28	–	–	PUNCT
american_scientific_journal-1184	17	29	li	li	PROPN
american_scientific_journal-1184	17	30	alloys	alloy	NOUN
american_scientific_journal-1184	17	31	extrusions	extrusion	NOUN
american_scientific_journal-1184	17	32	with	with	ADP
american_scientific_journal-1184	17	33	z	z	NOUN
american_scientific_journal-1184	17	34	-	-	PUNCT
american_scientific_journal-1184	17	35	section	section	NOUN
american_scientific_journal-1184	17	36	and	and	CCONJ
american_scientific_journal-1184	17	37	t	t	NOUN
american_scientific_journal-1184	17	38	-	-	PUNCT
american_scientific_journal-1184	17	39	section	section	NOUN
american_scientific_journal-1184	17	40	under	under	ADP
american_scientific_journal-1184	17	41	displacement	displacement	NOUN
american_scientific_journal-1184	17	42	controlled	control	VERB
american_scientific_journal-1184	17	43	cold	cold	ADJ
american_scientific_journal-1184	17	44	stretch	stretch	NOUN
american_scientific_journal-1184	17	45	bending	bending	NOUN
american_scientific_journal-1184	17	46	(	(	PUNCT
american_scientific_journal-1184	17	47	dcsb	dcsb	NOUN
american_scientific_journal-1184	17	48	)	)	PUNCT
american_scientific_journal-1184	17	49	.	.	PUNCT
american_scientific_journal-1184	18	1	-----------------------------------------------------------------	-----------------------------------------------------------------	PUNCT
american_scientific_journal-1184	19	1	*	*	PUNCT
american_scientific_journal-1184	19	2	corresponding	correspond	VERB
american_scientific_journal-1184	19	3	author	author	NOUN
american_scientific_journal-1184	19	4	.	.	PUNCT
american_scientific_journal-1184	20	1	187	187	NUM
american_scientific_journal-1184	20	2	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-1184	20	3	american	american	ADJ
american_scientific_journal-1184	20	4	scientific	scientific	ADJ
american_scientific_journal-1184	20	5	research	research	NOUN
american_scientific_journal-1184	20	6	journal	journal	NOUN
american_scientific_journal-1184	20	7	for	for	ADP
american_scientific_journal-1184	20	8	engineering	engineering	NOUN
american_scientific_journal-1184	20	9	,	,	PUNCT
american_scientific_journal-1184	20	10	technology	technology	NOUN
american_scientific_journal-1184	20	11	,	,	PUNCT
american_scientific_journal-1184	20	12	and	and	CCONJ
american_scientific_journal-1184	20	13	sciences	science	NOUN
american_scientific_journal-1184	20	14	(	(	PUNCT
american_scientific_journal-1184	20	15	asrjets	asrjet	NOUN
american_scientific_journal-1184	20	16	)	)	PUNCT
american_scientific_journal-1184	20	17	(	(	PUNCT
american_scientific_journal-1184	20	18	2015	2015	NUM
american_scientific_journal-1184	20	19	)	)	PUNCT
american_scientific_journal-1184	20	20	volume	volume	NOUN
american_scientific_journal-1184	20	21	14	14	NUM
american_scientific_journal-1184	20	22	,	,	PUNCT
american_scientific_journal-1184	20	23	no	no	DET
american_scientific_journal-1184	20	24	3	3	NUM
american_scientific_journal-1184	20	25	,	,	PUNCT
american_scientific_journal-1184	20	26	pp	pp	ADV
american_scientific_journal-1184	20	27	187	187	NUM
american_scientific_journal-1184	20	28	-	-	SYM
american_scientific_journal-1184	20	29	201	201	NUM
american_scientific_journal-1184	20	30	analytical	analytical	ADJ
american_scientific_journal-1184	20	31	model	model	NOUN
american_scientific_journal-1184	20	32	as	as	ADV
american_scientific_journal-1184	20	33	well	well	ADV
american_scientific_journal-1184	20	34	as	as	ADP
american_scientific_journal-1184	20	35	fem	fem	NOUN
american_scientific_journal-1184	20	36	were	be	AUX
american_scientific_journal-1184	20	37	used	use	VERB
american_scientific_journal-1184	20	38	.	.	PUNCT
american_scientific_journal-1184	21	1	it	it	PRON
american_scientific_journal-1184	21	2	was	be	AUX
american_scientific_journal-1184	21	3	found	find	VERB
american_scientific_journal-1184	21	4	that	that	SCONJ
american_scientific_journal-1184	21	5	increasing	increase	VERB
american_scientific_journal-1184	21	6	pre	pre	ADJ
american_scientific_journal-1184	21	7	-	-	ADJ
american_scientific_journal-1184	21	8	stretching	stretching	ADJ
american_scientific_journal-1184	21	9	or	or	CCONJ
american_scientific_journal-1184	21	10	post	post	ADJ
american_scientific_journal-1184	21	11	-	-	ADJ
american_scientific_journal-1184	21	12	stretching	stretching	ADJ
american_scientific_journal-1184	21	13	strain	strain	NOUN
american_scientific_journal-1184	21	14	can	can	AUX
american_scientific_journal-1184	21	15	significantly	significantly	ADV
american_scientific_journal-1184	21	16	reduce	reduce	VERB
american_scientific_journal-1184	21	17	the	the	DET
american_scientific_journal-1184	21	18	radius	radius	NOUN
american_scientific_journal-1184	21	19	springback	springback	NOUN
american_scientific_journal-1184	21	20	and	and	CCONJ
american_scientific_journal-1184	21	21	time	time	NOUN
american_scientific_journal-1184	21	22	-	-	PUNCT
american_scientific_journal-1184	21	23	dependent	dependent	ADJ
american_scientific_journal-1184	21	24	springback	springback	NOUN
american_scientific_journal-1184	21	25	.	.	PUNCT
american_scientific_journal-1184	22	1	moreover	moreover	ADV
american_scientific_journal-1184	22	2	[	[	X
american_scientific_journal-1184	22	3	3	3	X
american_scientific_journal-1184	22	4	]	]	PUNCT
american_scientific_journal-1184	22	5	have	have	AUX
american_scientific_journal-1184	22	6	introduced	introduce	VERB
american_scientific_journal-1184	22	7	a	a	DET
american_scientific_journal-1184	22	8	study	study	NOUN
american_scientific_journal-1184	22	9	to	to	PART
american_scientific_journal-1184	22	10	springback	springback	VERB
american_scientific_journal-1184	22	11	in	in	ADP
american_scientific_journal-1184	22	12	sheet	sheet	NOUN
american_scientific_journal-1184	22	13	metal	metal	NOUN
american_scientific_journal-1184	22	14	forming	form	VERB
american_scientific_journal-1184	22	15	and	and	CCONJ
american_scientific_journal-1184	22	16	discussed	discuss	VERB
american_scientific_journal-1184	22	17	the	the	DET
american_scientific_journal-1184	22	18	parameters	parameter	NOUN
american_scientific_journal-1184	22	19	affecting	affect	VERB
american_scientific_journal-1184	22	20	the	the	DET
american_scientific_journal-1184	22	21	springback	springback	NOUN
american_scientific_journal-1184	22	22	phenomenon	phenomenon	NOUN
american_scientific_journal-1184	22	23	such	such	ADJ
american_scientific_journal-1184	22	24	as	as	ADP
american_scientific_journal-1184	22	25	punch	punch	NOUN
american_scientific_journal-1184	22	26	angle	angle	NOUN
american_scientific_journal-1184	22	27	,	,	PUNCT
american_scientific_journal-1184	22	28	grain	grain	NOUN
american_scientific_journal-1184	22	29	direction	direction	NOUN
american_scientific_journal-1184	22	30	of	of	ADP
american_scientific_journal-1184	22	31	sheet	sheet	NOUN
american_scientific_journal-1184	22	32	metal	metal	NOUN
american_scientific_journal-1184	22	33	material	material	NOUN
american_scientific_journal-1184	22	34	,	,	PUNCT
american_scientific_journal-1184	22	35	die	die	VERB
american_scientific_journal-1184	22	36	opening	opening	NOUN
american_scientific_journal-1184	22	37	,	,	PUNCT
american_scientific_journal-1184	22	38	ratio	ratio	NOUN
american_scientific_journal-1184	22	39	of	of	ADP
american_scientific_journal-1184	22	40	die	die	NOUN
american_scientific_journal-1184	22	41	radius	radius	NOUN
american_scientific_journal-1184	22	42	to	to	AUX
american_scientific_journal-1184	22	43	sheet	sheet	NOUN
american_scientific_journal-1184	22	44	thickness	thickness	NOUN
american_scientific_journal-1184	22	45	,	,	PUNCT
american_scientific_journal-1184	22	46	sheet	sheet	NOUN
american_scientific_journal-1184	22	47	thickness	thickness	NOUN
american_scientific_journal-1184	22	48	,	,	PUNCT
american_scientific_journal-1184	22	49	punch	punch	NOUN
american_scientific_journal-1184	22	50	radius	radius	NOUN
american_scientific_journal-1184	22	51	,	,	PUNCT
american_scientific_journal-1184	22	52	punch	punch	VERB
american_scientific_journal-1184	22	53	height	height	NOUN
american_scientific_journal-1184	22	54	,	,	PUNCT
american_scientific_journal-1184	22	55	coining	coin	VERB
american_scientific_journal-1184	22	56	force	force	NOUN
american_scientific_journal-1184	22	57	,	,	PUNCT
american_scientific_journal-1184	22	58	pre	pre	VERB
american_scientific_journal-1184	23	1	bend	bend	ADJ
american_scientific_journal-1184	23	2	condition	condition	NOUN
american_scientific_journal-1184	23	3	of	of	ADP
american_scientific_journal-1184	23	4	strip	strip	PROPN
american_scientific_journal-1184	23	5	etc	etc	X
american_scientific_journal-1184	23	6	.	.	X
american_scientific_journal-1184	23	7	reference	reference	NOUN
american_scientific_journal-1184	23	8	[	[	X
american_scientific_journal-1184	23	9	4	4	X
american_scientific_journal-1184	23	10	]	]	PUNCT
american_scientific_journal-1184	23	11	have	have	AUX
american_scientific_journal-1184	23	12	evaluated	evaluate	VERB
american_scientific_journal-1184	23	13	the	the	DET
american_scientific_journal-1184	23	14	elastic	elastic	ADJ
american_scientific_journal-1184	23	15	springback	springback	NOUN
american_scientific_journal-1184	23	16	and	and	CCONJ
american_scientific_journal-1184	23	17	the	the	DET
american_scientific_journal-1184	23	18	residual	residual	ADJ
american_scientific_journal-1184	23	19	stress	stress	NOUN
american_scientific_journal-1184	23	20	after	after	ADP
american_scientific_journal-1184	23	21	stretch	stretch	NOUN
american_scientific_journal-1184	23	22	bending	bending	NOUN
american_scientific_journal-1184	23	23	of	of	ADP
american_scientific_journal-1184	23	24	a	a	DET
american_scientific_journal-1184	23	25	rectangular	rectangular	ADJ
american_scientific_journal-1184	23	26	section	section	NOUN
american_scientific_journal-1184	23	27	of	of	ADP
american_scientific_journal-1184	23	28	7075	7075	NUM
american_scientific_journal-1184	23	29	aluminum	aluminum	NOUN
american_scientific_journal-1184	23	30	sheet	sheet	NOUN
american_scientific_journal-1184	23	31	.	.	PUNCT
american_scientific_journal-1184	24	1	also	also	ADV
american_scientific_journal-1184	24	2	[	[	X
american_scientific_journal-1184	24	3	5	5	X
american_scientific_journal-1184	24	4	]	]	PUNCT
american_scientific_journal-1184	24	5	have	have	AUX
american_scientific_journal-1184	24	6	introduced	introduce	VERB
american_scientific_journal-1184	24	7	a	a	DET
american_scientific_journal-1184	24	8	theoretical	theoretical	ADJ
american_scientific_journal-1184	24	9	analysis	analysis	NOUN
american_scientific_journal-1184	24	10	of	of	ADP
american_scientific_journal-1184	24	11	the	the	DET
american_scientific_journal-1184	24	12	elastic	elastic	ADJ
american_scientific_journal-1184	24	13	–	–	PUNCT
american_scientific_journal-1184	24	14	plastic	plastic	NOUN
american_scientific_journal-1184	24	15	bending	bending	NOUN
american_scientific_journal-1184	24	16	of	of	ADP
american_scientific_journal-1184	24	17	tubes	tube	NOUN
american_scientific_journal-1184	24	18	and	and	CCONJ
american_scientific_journal-1184	24	19	sections	section	NOUN
american_scientific_journal-1184	24	20	with	with	ADP
american_scientific_journal-1184	24	21	different	different	ADJ
american_scientific_journal-1184	24	22	shapes	shape	NOUN
american_scientific_journal-1184	24	23	.	.	PUNCT
american_scientific_journal-1184	25	1	analytical	analytical	ADJ
american_scientific_journal-1184	25	2	methods	method	NOUN
american_scientific_journal-1184	25	3	are	be	AUX
american_scientific_journal-1184	25	4	given	give	VERB
american_scientific_journal-1184	25	5	in	in	ADP
american_scientific_journal-1184	25	6	the	the	DET
american_scientific_journal-1184	25	7	form	form	NOUN
american_scientific_journal-1184	25	8	of	of	ADP
american_scientific_journal-1184	25	9	equations	equation	NOUN
american_scientific_journal-1184	25	10	to	to	PART
american_scientific_journal-1184	25	11	provide	provide	VERB
american_scientific_journal-1184	25	12	a	a	DET
american_scientific_journal-1184	25	13	quantitative	quantitative	ADJ
american_scientific_journal-1184	25	14	method	method	NOUN
american_scientific_journal-1184	25	15	for	for	ADP
american_scientific_journal-1184	25	16	predicting	predict	VERB
american_scientific_journal-1184	25	17	the	the	DET
american_scientific_journal-1184	25	18	moment	moment	NOUN
american_scientific_journal-1184	25	19	for	for	ADP
american_scientific_journal-1184	25	20	forming	form	VERB
american_scientific_journal-1184	25	21	the	the	DET
american_scientific_journal-1184	25	22	section	section	NOUN
american_scientific_journal-1184	25	23	of	of	ADP
american_scientific_journal-1184	25	24	the	the	DET
american_scientific_journal-1184	25	25	tube	tube	NOUN
american_scientific_journal-1184	25	26	to	to	ADP
american_scientific_journal-1184	25	27	a	a	DET
american_scientific_journal-1184	25	28	specific	specific	ADJ
american_scientific_journal-1184	25	29	radius	radius	NOUN
american_scientific_journal-1184	25	30	of	of	ADP
american_scientific_journal-1184	25	31	curvature	curvature	NOUN
american_scientific_journal-1184	25	32	.	.	PUNCT
american_scientific_journal-1184	26	1	reference	reference	NOUN
american_scientific_journal-1184	27	1	[	[	X
american_scientific_journal-1184	27	2	6	6	NUM
american_scientific_journal-1184	27	3	]	]	PUNCT
american_scientific_journal-1184	27	4	has	have	AUX
american_scientific_journal-1184	27	5	studied	study	VERB
american_scientific_journal-1184	27	6	the	the	DET
american_scientific_journal-1184	27	7	mechanism	mechanism	NOUN
american_scientific_journal-1184	27	8	of	of	ADP
american_scientific_journal-1184	27	9	the	the	DET
american_scientific_journal-1184	27	10	springback	springback	NOUN
american_scientific_journal-1184	27	11	-	-	PUNCT
american_scientific_journal-1184	27	12	free	free	ADJ
american_scientific_journal-1184	27	13	phenomenon	phenomenon	NOUN
american_scientific_journal-1184	27	14	observed	observe	VERB
american_scientific_journal-1184	27	15	at	at	ADP
american_scientific_journal-1184	27	16	warm	warm	ADJ
american_scientific_journal-1184	27	17	forming	form	VERB
american_scientific_journal-1184	27	18	temperatures	temperature	NOUN
american_scientific_journal-1184	27	19	higher	high	ADJ
american_scientific_journal-1184	27	20	than	than	ADP
american_scientific_journal-1184	27	21	750k	750k	NOUN
american_scientific_journal-1184	27	22	.	.	PUNCT
american_scientific_journal-1184	28	1	it	it	PRON
american_scientific_journal-1184	28	2	was	be	AUX
american_scientific_journal-1184	28	3	found	find	VERB
american_scientific_journal-1184	28	4	that	that	SCONJ
american_scientific_journal-1184	28	5	the	the	DET
american_scientific_journal-1184	28	6	abrupt	abrupt	ADJ
american_scientific_journal-1184	28	7	decrease	decrease	NOUN
american_scientific_journal-1184	28	8	in	in	ADP
american_scientific_journal-1184	28	9	springback	springback	NOUN
american_scientific_journal-1184	28	10	at	at	ADP
american_scientific_journal-1184	28	11	approximately	approximately	ADV
american_scientific_journal-1184	28	12	750k	750k	NOUN
american_scientific_journal-1184	28	13	is	be	AUX
american_scientific_journal-1184	28	14	mainly	mainly	ADV
american_scientific_journal-1184	28	15	caused	cause	VERB
american_scientific_journal-1184	28	16	by	by	ADP
american_scientific_journal-1184	28	17	a	a	DET
american_scientific_journal-1184	28	18	momentary	momentary	ADJ
american_scientific_journal-1184	28	19	increase	increase	NOUN
american_scientific_journal-1184	28	20	of	of	ADP
american_scientific_journal-1184	28	21	high	high	ADJ
american_scientific_journal-1184	28	22	-	-	PUNCT
american_scientific_journal-1184	28	23	temperature	temperature	NOUN
american_scientific_journal-1184	28	24	creep	creep	NOUN
american_scientific_journal-1184	28	25	strain	strain	NOUN
american_scientific_journal-1184	28	26	just	just	ADV
american_scientific_journal-1184	28	27	after	after	ADP
american_scientific_journal-1184	28	28	the	the	DET
american_scientific_journal-1184	28	29	forming	form	VERB
american_scientific_journal-1184	28	30	process	process	NOUN
american_scientific_journal-1184	28	31	.	.	PUNCT
american_scientific_journal-1184	29	1	z.	z.	PROPN
american_scientific_journal-1184	29	2	damián	damián	PROPN
american_scientific_journal-1184	29	3	-	-	PUNCT
american_scientific_journal-1184	29	4	noriega	noriega	PROPN
american_scientific_journal-1184	29	5	and	and	CCONJ
american_scientific_journal-1184	29	6	his	his	PRON
american_scientific_journal-1184	29	7	colleagues	colleague	NOUN
american_scientific_journal-1184	30	1	[	[	X
american_scientific_journal-1184	30	2	7	7	X
american_scientific_journal-1184	30	3	]	]	PUNCT
american_scientific_journal-1184	30	4	have	have	AUX
american_scientific_journal-1184	30	5	presented	present	VERB
american_scientific_journal-1184	30	6	a	a	DET
american_scientific_journal-1184	30	7	new	new	ADJ
american_scientific_journal-1184	30	8	equation	equation	NOUN
american_scientific_journal-1184	30	9	to	to	PART
american_scientific_journal-1184	30	10	predict	predict	VERB
american_scientific_journal-1184	30	11	the	the	DET
american_scientific_journal-1184	30	12	springback	springback	NOUN
american_scientific_journal-1184	30	13	in	in	ADP
american_scientific_journal-1184	30	14	the	the	DET
american_scientific_journal-1184	30	15	bending	bending	NOUN
american_scientific_journal-1184	30	16	and	and	CCONJ
american_scientific_journal-1184	30	17	rolling	rolling	NOUN
american_scientific_journal-1184	30	18	processes	process	NOUN
american_scientific_journal-1184	30	19	of	of	ADP
american_scientific_journal-1184	30	20	metallic	metallic	ADJ
american_scientific_journal-1184	30	21	sheet	sheet	NOUN
american_scientific_journal-1184	30	22	.	.	PUNCT
american_scientific_journal-1184	31	1	the	the	DET
american_scientific_journal-1184	31	2	resulted	resulted	ADJ
american_scientific_journal-1184	31	3	equation	equation	NOUN
american_scientific_journal-1184	31	4	has	have	AUX
american_scientific_journal-1184	31	5	been	be	AUX
american_scientific_journal-1184	31	6	experimentally	experimentally	ADV
american_scientific_journal-1184	31	7	applied	apply	VERB
american_scientific_journal-1184	31	8	in	in	ADP
american_scientific_journal-1184	31	9	the	the	DET
american_scientific_journal-1184	31	10	design	design	NOUN
american_scientific_journal-1184	31	11	of	of	ADP
american_scientific_journal-1184	31	12	a	a	DET
american_scientific_journal-1184	31	13	wood	wood	NOUN
american_scientific_journal-1184	31	14	truncated	truncate	VERB
american_scientific_journal-1184	31	15	cone	cone	NOUN
american_scientific_journal-1184	31	16	to	to	PART
american_scientific_journal-1184	31	17	form	form	VERB
american_scientific_journal-1184	31	18	an	an	DET
american_scientific_journal-1184	31	19	aluminum	aluminum	NOUN
american_scientific_journal-1184	31	20	sheet	sheet	NOUN
american_scientific_journal-1184	31	21	truncated	truncate	VERB
american_scientific_journal-1184	31	22	cone	cone	NOUN
american_scientific_journal-1184	31	23	.	.	PUNCT
american_scientific_journal-1184	32	1	wenjuan	wenjuan	PROPN
american_scientific_journal-1184	32	2	liu	liu	PROPN
american_scientific_journal-1184	32	3	and	and	CCONJ
american_scientific_journal-1184	32	4	his	his	PRON
american_scientific_journal-1184	32	5	colleagues	colleague	NOUN
american_scientific_journal-1184	33	1	[	[	X
american_scientific_journal-1184	33	2	8	8	NUM
american_scientific_journal-1184	33	3	]	]	PUNCT
american_scientific_journal-1184	33	4	have	have	AUX
american_scientific_journal-1184	33	5	introduced	introduce	VERB
american_scientific_journal-1184	33	6	a	a	DET
american_scientific_journal-1184	33	7	process	process	NOUN
american_scientific_journal-1184	33	8	optimal	optimal	ADJ
american_scientific_journal-1184	33	9	control	control	NOUN
american_scientific_journal-1184	33	10	scheme	scheme	NOUN
american_scientific_journal-1184	33	11	of	of	ADP
american_scientific_journal-1184	33	12	sheet	sheet	NOUN
american_scientific_journal-1184	33	13	metal	metal	NOUN
american_scientific_journal-1184	33	14	forming	form	VERB
american_scientific_journal-1184	33	15	springback	springback	NOUN
american_scientific_journal-1184	33	16	based	base	VERB
american_scientific_journal-1184	33	17	on	on	ADP
american_scientific_journal-1184	33	18	evolutionary	evolutionary	ADJ
american_scientific_journal-1184	33	19	strategy	strategy	NOUN
american_scientific_journal-1184	33	20	.	.	PUNCT
american_scientific_journal-1184	34	1	the	the	DET
american_scientific_journal-1184	34	2	experiment	experiment	NOUN
american_scientific_journal-1184	34	3	results	result	NOUN
american_scientific_journal-1184	34	4	indicated	indicate	VERB
american_scientific_journal-1184	34	5	that	that	SCONJ
american_scientific_journal-1184	34	6	the	the	DET
american_scientific_journal-1184	34	7	best	good	ADJ
american_scientific_journal-1184	34	8	process	process	NOUN
american_scientific_journal-1184	34	9	scheme	scheme	NOUN
american_scientific_journal-1184	34	10	can	can	AUX
american_scientific_journal-1184	34	11	be	be	AUX
american_scientific_journal-1184	34	12	achieved	achieve	VERB
american_scientific_journal-1184	34	13	with	with	ADP
american_scientific_journal-1184	34	14	the	the	DET
american_scientific_journal-1184	34	15	process	process	NOUN
american_scientific_journal-1184	34	16	optimal	optimal	ADJ
american_scientific_journal-1184	34	17	springback	springback	NOUN
american_scientific_journal-1184	34	18	control	control	NOUN
american_scientific_journal-1184	34	19	method	method	NOUN
american_scientific_journal-1184	34	20	based	base	VERB
american_scientific_journal-1184	34	21	on	on	ADP
american_scientific_journal-1184	34	22	evolutionary	evolutionary	ADJ
american_scientific_journal-1184	34	23	strategy	strategy	NOUN
american_scientific_journal-1184	34	24	;	;	PUNCT
american_scientific_journal-1184	34	25	the	the	DET
american_scientific_journal-1184	34	26	springback	springback	NOUN
american_scientific_journal-1184	34	27	can	can	AUX
american_scientific_journal-1184	34	28	be	be	AUX
american_scientific_journal-1184	34	29	controlled	control	VERB
american_scientific_journal-1184	34	30	and	and	CCONJ
american_scientific_journal-1184	34	31	reduced	reduce	VERB
american_scientific_journal-1184	34	32	effectively	effectively	ADV
american_scientific_journal-1184	34	33	.	.	PUNCT
american_scientific_journal-1184	35	1	feng	feng	PROPN
american_scientific_journal-1184	35	2	ruan	ruan	PROPN
american_scientific_journal-1184	35	3	and	and	CCONJ
american_scientific_journal-1184	35	4	his	his	PRON
american_scientific_journal-1184	35	5	colleagues	colleague	NOUN
american_scientific_journal-1184	36	1	[	[	X
american_scientific_journal-1184	36	2	9	9	NUM
american_scientific_journal-1184	36	3	]	]	PUNCT
american_scientific_journal-1184	36	4	have	have	AUX
american_scientific_journal-1184	36	5	tried	try	VERB
american_scientific_journal-1184	36	6	to	to	PART
american_scientific_journal-1184	36	7	predict	predict	VERB
american_scientific_journal-1184	36	8	and	and	CCONJ
american_scientific_journal-1184	36	9	control	control	VERB
american_scientific_journal-1184	36	10	the	the	DET
american_scientific_journal-1184	36	11	springback	springback	NOUN
american_scientific_journal-1184	36	12	for	for	ADP
american_scientific_journal-1184	36	13	sheet	sheet	NOUN
american_scientific_journal-1184	36	14	metal	metal	NOUN
american_scientific_journal-1184	36	15	forming	form	VERB
american_scientific_journal-1184	36	16	.	.	PUNCT
american_scientific_journal-1184	37	1	in	in	ADP
american_scientific_journal-1184	37	2	this	this	DET
american_scientific_journal-1184	37	3	paper	paper	NOUN
american_scientific_journal-1184	37	4	,	,	PUNCT
american_scientific_journal-1184	37	5	back	back	ADJ
american_scientific_journal-1184	37	6	propagation	propagation	NOUN
american_scientific_journal-1184	37	7	(	(	PUNCT
american_scientific_journal-1184	37	8	bp	bp	PROPN
american_scientific_journal-1184	37	9	)	)	PUNCT
american_scientific_journal-1184	37	10	neural	neural	ADJ
american_scientific_journal-1184	37	11	network	network	NOUN
american_scientific_journal-1184	37	12	and	and	CCONJ
american_scientific_journal-1184	37	13	genetic	genetic	ADJ
american_scientific_journal-1184	37	14	algorithm	algorithm	NOUN
american_scientific_journal-1184	37	15	(	(	PUNCT
american_scientific_journal-1184	37	16	ga	ga	NOUN
american_scientific_journal-1184	37	17	)	)	PUNCT
american_scientific_journal-1184	37	18	was	be	AUX
american_scientific_journal-1184	37	19	introduced	introduce	VERB
american_scientific_journal-1184	37	20	to	to	PART
american_scientific_journal-1184	37	21	predict	predict	VERB
american_scientific_journal-1184	37	22	springback	springback	NOUN
american_scientific_journal-1184	37	23	of	of	ADP
american_scientific_journal-1184	37	24	complex	complex	ADJ
american_scientific_journal-1184	37	25	sheet	sheet	NOUN
american_scientific_journal-1184	37	26	metal	metal	NOUN
american_scientific_journal-1184	37	27	forming	form	VERB
american_scientific_journal-1184	37	28	parts	part	NOUN
american_scientific_journal-1184	37	29	.	.	PUNCT
american_scientific_journal-1184	38	1	the	the	DET
american_scientific_journal-1184	38	2	model	model	NOUN
american_scientific_journal-1184	38	3	can	can	AUX
american_scientific_journal-1184	38	4	be	be	AUX
american_scientific_journal-1184	38	5	used	use	VERB
american_scientific_journal-1184	38	6	to	to	PART
american_scientific_journal-1184	38	7	predicate	predicate	VERB
american_scientific_journal-1184	38	8	springback	springback	NOUN
american_scientific_journal-1184	38	9	and	and	CCONJ
american_scientific_journal-1184	38	10	provides	provide	VERB
american_scientific_journal-1184	38	11	a	a	DET
american_scientific_journal-1184	38	12	theoretical	theoretical	ADJ
american_scientific_journal-1184	38	13	guide	guide	NOUN
american_scientific_journal-1184	38	14	for	for	ADP
american_scientific_journal-1184	38	15	complex	complex	ADJ
american_scientific_journal-1184	38	16	sheet	sheet	NOUN
american_scientific_journal-1184	38	17	metal	metal	NOUN
american_scientific_journal-1184	38	18	parts	part	NOUN
american_scientific_journal-1184	38	19	forming	form	VERB
american_scientific_journal-1184	38	20	,	,	PUNCT
american_scientific_journal-1184	38	21	tools	tool	NOUN
american_scientific_journal-1184	38	22	designing	design	VERB
american_scientific_journal-1184	38	23	and	and	CCONJ
american_scientific_journal-1184	38	24	die	die	VERB
american_scientific_journal-1184	38	25	modification	modification	NOUN
american_scientific_journal-1184	38	26	.	.	PUNCT
american_scientific_journal-1184	39	1	zhao	zhao	PROPN
american_scientific_journal-1184	39	2	jun	jun	PROPN
american_scientific_journal-1184	39	3	and	and	CCONJ
american_scientific_journal-1184	39	4	his	his	PRON
american_scientific_journal-1184	39	5	colleagues	colleague	NOUN
american_scientific_journal-1184	40	1	[	[	X
american_scientific_journal-1184	40	2	10	10	NUM
american_scientific_journal-1184	40	3	]	]	PUNCT
american_scientific_journal-1184	40	4	have	have	AUX
american_scientific_journal-1184	40	5	addressed	address	VERB
american_scientific_journal-1184	40	6	an	an	DET
american_scientific_journal-1184	40	7	analytical	analytical	ADJ
american_scientific_journal-1184	40	8	method	method	NOUN
american_scientific_journal-1184	40	9	for	for	ADP
american_scientific_journal-1184	40	10	springback	springback	NOUN
american_scientific_journal-1184	40	11	of	of	ADP
american_scientific_journal-1184	40	12	small	small	ADJ
american_scientific_journal-1184	40	13	curvature	curvature	NOUN
american_scientific_journal-1184	40	14	plane	plane	NOUN
american_scientific_journal-1184	40	15	bending	bend	VERB
american_scientific_journal-1184	40	16	with	with	ADP
american_scientific_journal-1184	40	17	unloading	unloading	NOUN
american_scientific_journal-1184	40	18	rule	rule	NOUN
american_scientific_journal-1184	40	19	of	of	ADP
american_scientific_journal-1184	40	20	classical	classical	ADJ
american_scientific_journal-1184	40	21	elasticplastic	elasticplastic	ADJ
american_scientific_journal-1184	40	22	theory	theory	NOUN
american_scientific_journal-1184	40	23	and	and	CCONJ
american_scientific_journal-1184	40	24	principle	principle	NOUN
american_scientific_journal-1184	40	25	of	of	ADP
american_scientific_journal-1184	40	26	strain	strain	NOUN
american_scientific_journal-1184	40	27	superposition	superposition	NOUN
american_scientific_journal-1184	40	28	.	.	PUNCT
american_scientific_journal-1184	41	1	the	the	DET
american_scientific_journal-1184	41	2	springback	springback	NOUN
american_scientific_journal-1184	41	3	equation	equation	NOUN
american_scientific_journal-1184	41	4	of	of	ADP
american_scientific_journal-1184	41	5	plane	plane	NOUN
american_scientific_journal-1184	41	6	bending	bending	NOUN
american_scientific_journal-1184	41	7	is	be	AUX
american_scientific_journal-1184	41	8	considered	consider	VERB
american_scientific_journal-1184	41	9	to	to	PART
american_scientific_journal-1184	41	10	analyze	analyze	VERB
american_scientific_journal-1184	41	11	the	the	DET
american_scientific_journal-1184	41	12	expanding	expand	VERB
american_scientific_journal-1184	41	13	and	and	CCONJ
american_scientific_journal-1184	41	14	setting	set	VERB
american_scientific_journal-1184	41	15	round	round	NOUN
american_scientific_journal-1184	41	16	process	process	NOUN
american_scientific_journal-1184	41	17	,	,	PUNCT
american_scientific_journal-1184	41	18	and	and	CCONJ
american_scientific_journal-1184	41	19	the	the	DET
american_scientific_journal-1184	41	20	results	result	NOUN
american_scientific_journal-1184	41	21	agree	agree	VERB
american_scientific_journal-1184	41	22	with	with	ADP
american_scientific_journal-1184	41	23	the	the	DET
american_scientific_journal-1184	41	24	experimental	experimental	ADJ
american_scientific_journal-1184	41	25	data	datum	NOUN
american_scientific_journal-1184	41	26	.	.	PUNCT
american_scientific_journal-1184	42	1	sanjay	sanjay	PROPN
american_scientific_journal-1184	42	2	kumar	kumar	PROPN
american_scientific_journal-1184	42	3	patel	patel	PROPN
american_scientific_journal-1184	42	4	and	and	CCONJ
american_scientific_journal-1184	42	5	his	his	PRON
american_scientific_journal-1184	42	6	colleagues	colleague	NOUN
american_scientific_journal-1184	43	1	[	[	X
american_scientific_journal-1184	43	2	11	11	NUM
american_scientific_journal-1184	43	3	]	]	PUNCT
american_scientific_journal-1184	43	4	were	be	AUX
american_scientific_journal-1184	43	5	interested	interested	ADJ
american_scientific_journal-1184	43	6	in	in	ADP
american_scientific_journal-1184	43	7	the	the	DET
american_scientific_journal-1184	43	8	springback	springback	NOUN
american_scientific_journal-1184	43	9	analysis	analysis	NOUN
american_scientific_journal-1184	43	10	in	in	ADP
american_scientific_journal-1184	43	11	sheet	sheet	NOUN
american_scientific_journal-1184	43	12	metal	metal	NOUN
american_scientific_journal-1184	43	13	forming	form	VERB
american_scientific_journal-1184	43	14	using	use	VERB
american_scientific_journal-1184	43	15	modified	modified	ADJ
american_scientific_journal-1184	43	16	ludwik	ludwik	NOUN
american_scientific_journal-1184	43	17	stress	stress	NOUN
american_scientific_journal-1184	43	18	-	-	PUNCT
american_scientific_journal-1184	43	19	strain	strain	NOUN
american_scientific_journal-1184	43	20	relation	relation	NOUN
american_scientific_journal-1184	43	21	.	.	PUNCT
american_scientific_journal-1184	44	1	using	use	VERB
american_scientific_journal-1184	44	2	the	the	DET
american_scientific_journal-1184	44	3	deformation	deformation	NOUN
american_scientific_journal-1184	44	4	theory	theory	NOUN
american_scientific_journal-1184	44	5	of	of	ADP
american_scientific_journal-1184	44	6	plasticity	plasticity	NOUN
american_scientific_journal-1184	44	7	,	,	PUNCT
american_scientific_journal-1184	44	8	formulation	formulation	NOUN
american_scientific_journal-1184	44	9	of	of	ADP
american_scientific_journal-1184	44	10	the	the	DET
american_scientific_journal-1184	44	11	problem	problem	NOUN
american_scientific_journal-1184	44	12	and	and	CCONJ
american_scientific_journal-1184	44	13	springback	springback	NOUN
american_scientific_journal-1184	44	14	ratio	ratio	NOUN
american_scientific_journal-1184	44	15	is	be	AUX
american_scientific_journal-1184	44	16	derived	derive	VERB
american_scientific_journal-1184	44	17	using	use	VERB
american_scientific_journal-1184	44	18	modified	modified	ADJ
american_scientific_journal-1184	44	19	ludwik	ludwik	NOUN
american_scientific_journal-1184	44	20	stress	stress	NOUN
american_scientific_journal-1184	44	21	strain	strain	NOUN
american_scientific_journal-1184	44	22	relationship	relationship	NOUN
american_scientific_journal-1184	44	23	with	with	ADP
american_scientific_journal-1184	44	24	tresca	tresca	PROPN
american_scientific_journal-1184	44	25	and	and	CCONJ
american_scientific_journal-1184	44	26	von	von	PROPN
american_scientific_journal-1184	44	27	mises	mises	PROPN
american_scientific_journal-1184	44	28	yielding	yield	VERB
american_scientific_journal-1184	44	29	criteria	criterion	NOUN
american_scientific_journal-1184	44	30	.	.	PUNCT
american_scientific_journal-1184	45	1	the	the	DET
american_scientific_journal-1184	45	2	mechanical	mechanical	ADJ
american_scientific_journal-1184	45	3	behavior	behavior	NOUN
american_scientific_journal-1184	45	4	for	for	ADP
american_scientific_journal-1184	45	5	beams	beam	NOUN
american_scientific_journal-1184	45	6	has	have	VERB
american_scientific_journal-1184	45	7	an	an	DET
american_scientific_journal-1184	45	8	important	important	ADJ
american_scientific_journal-1184	45	9	value	value	NOUN
american_scientific_journal-1184	45	10	for	for	ADP
american_scientific_journal-1184	45	11	studying	study	VERB
american_scientific_journal-1184	45	12	because	because	SCONJ
american_scientific_journal-1184	45	13	of	of	ADP
american_scientific_journal-1184	45	14	their	their	PRON
american_scientific_journal-1184	45	15	widely	widely	ADV
american_scientific_journal-1184	45	16	used	use	VERB
american_scientific_journal-1184	45	17	in	in	ADP
american_scientific_journal-1184	45	18	engineering	engineering	NOUN
american_scientific_journal-1184	45	19	components	component	NOUN
american_scientific_journal-1184	45	20	.	.	PUNCT
american_scientific_journal-1184	46	1	moreover	moreover	ADV
american_scientific_journal-1184	46	2	the	the	DET
american_scientific_journal-1184	46	3	use	use	NOUN
american_scientific_journal-1184	46	4	of	of	ADP
american_scientific_journal-1184	46	5	ibeam	ibeam	ADJ
american_scientific_journal-1184	46	6	sections	section	NOUN
american_scientific_journal-1184	46	7	in	in	ADP
american_scientific_journal-1184	46	8	forming	form	VERB
american_scientific_journal-1184	46	9	structural	structural	ADJ
american_scientific_journal-1184	46	10	components	component	NOUN
american_scientific_journal-1184	46	11	for	for	ADP
american_scientific_journal-1184	46	12	cars	car	NOUN
american_scientific_journal-1184	46	13	,	,	PUNCT
american_scientific_journal-1184	46	14	trains	train	NOUN
american_scientific_journal-1184	46	15	,	,	PUNCT
american_scientific_journal-1184	46	16	aircraft	aircraft	NOUN
american_scientific_journal-1184	46	17	,	,	PUNCT
american_scientific_journal-1184	46	18	boats	boat	NOUN
american_scientific_journal-1184	46	19	and	and	CCONJ
american_scientific_journal-1184	46	20	ships	ship	NOUN
american_scientific_journal-1184	46	21	has	have	AUX
american_scientific_journal-1184	46	22	grown	grow	VERB
american_scientific_journal-1184	46	23	exponentially	exponentially	ADV
american_scientific_journal-1184	46	24	.	.	PUNCT
american_scientific_journal-1184	47	1	thus	thus	ADV
american_scientific_journal-1184	47	2	,	,	PUNCT
american_scientific_journal-1184	47	3	the	the	DET
american_scientific_journal-1184	47	4	aim	aim	NOUN
american_scientific_journal-1184	47	5	of	of	ADP
american_scientific_journal-1184	47	6	this	this	DET
american_scientific_journal-1184	47	7	paper	paper	NOUN
american_scientific_journal-1184	47	8	is	be	AUX
american_scientific_journal-1184	47	9	to	to	PART
american_scientific_journal-1184	47	10	present	present	VERB
american_scientific_journal-1184	47	11	a	a	DET
american_scientific_journal-1184	47	12	theoretical	theoretical	ADJ
american_scientific_journal-1184	47	13	analysis	analysis	NOUN
american_scientific_journal-1184	47	14	for	for	ADP
american_scientific_journal-1184	47	15	springbackin	springbackin	ADJ
american_scientific_journal-1184	47	16	i	i	PROPN
american_scientific_journal-1184	47	17	-	-	PUNCT
american_scientific_journal-1184	47	18	section	section	NOUN
american_scientific_journal-1184	47	19	beams	beam	NOUN
american_scientific_journal-1184	47	20	under	under	ADP
american_scientific_journal-1184	47	21	bending	bend	VERB
american_scientific_journal-1184	47	22	.	.	PUNCT
american_scientific_journal-1184	48	1	in	in	ADP
american_scientific_journal-1184	48	2	addition	addition	NOUN
american_scientific_journal-1184	48	3	,	,	PUNCT
american_scientific_journal-1184	48	4	studying	study	VERB
american_scientific_journal-1184	48	5	the	the	DET
american_scientific_journal-1184	48	6	affecting	affect	VERB
american_scientific_journal-1184	48	7	parameters	parameter	NOUN
american_scientific_journal-1184	48	8	is	be	AUX
american_scientific_journal-1184	48	9	also	also	ADV
american_scientific_journal-1184	48	10	one	one	NUM
american_scientific_journal-1184	48	11	of	of	ADP
american_scientific_journal-1184	48	12	the	the	DET
american_scientific_journal-1184	48	13	targets	target	NOUN
american_scientific_journal-1184	48	14	of	of	ADP
american_scientific_journal-1184	48	15	this	this	DET
american_scientific_journal-1184	48	16	paper	paper	NOUN
american_scientific_journal-1184	48	17	.	.	PUNCT
american_scientific_journal-1184	49	1	2	2	X
american_scientific_journal-1184	49	2	.	.	X
american_scientific_journal-1184	49	3	analysis	analysis	NOUN
american_scientific_journal-1184	49	4	in	in	ADP
american_scientific_journal-1184	49	5	the	the	DET
american_scientific_journal-1184	49	6	present	present	ADJ
american_scientific_journal-1184	49	7	work	work	NOUN
american_scientific_journal-1184	49	8	an	an	DET
american_scientific_journal-1184	49	9	analysis	analysis	NOUN
american_scientific_journal-1184	49	10	was	be	AUX
american_scientific_journal-1184	49	11	made	make	VERB
american_scientific_journal-1184	49	12	for	for	ADP
american_scientific_journal-1184	49	13	i	i	NOUN
american_scientific_journal-1184	49	14	-	-	PUNCT
american_scientific_journal-1184	49	15	beams	beam	NOUN
american_scientific_journal-1184	49	16	under	under	ADP
american_scientific_journal-1184	49	17	bending	bend	VERB
american_scientific_journal-1184	49	18	to	to	PART
american_scientific_journal-1184	49	19	evaluate	evaluate	VERB
american_scientific_journal-1184	49	20	the	the	DET
american_scientific_journal-1184	49	21	springback	springback	NOUN
american_scientific_journal-1184	49	22	values	value	NOUN
american_scientific_journal-1184	49	23	.	.	PUNCT
american_scientific_journal-1184	50	1	the	the	DET
american_scientific_journal-1184	50	2	stressstrain	stressstrain	NOUN
american_scientific_journal-1184	50	3	relationship	relationship	NOUN
american_scientific_journal-1184	50	4	is	be	AUX
american_scientific_journal-1184	50	5	given	give	VERB
american_scientific_journal-1184	50	6	by	by	ADP
american_scientific_journal-1184	50	7	:	:	PUNCT
american_scientific_journal-1184	50	8	𝜎	𝜎	PROPN
american_scientific_journal-1184	50	9	=	=	PUNCT
american_scientific_journal-1184	50	10	�	�	PROPN
american_scientific_journal-1184	50	11	𝐸𝜀	𝐸𝜀	ADP
american_scientific_journal-1184	50	12	𝜀	𝜀	PROPN
american_scientific_journal-1184	50	13	≤	≤	NOUN
american_scientific_journal-1184	50	14	𝑌	𝑌	PROPN
american_scientific_journal-1184	50	15	𝐸	𝐸	NOUN
american_scientific_journal-1184	50	16	𝐾𝜀𝑛	𝐾𝜀𝑛	PROPN
american_scientific_journal-1184	50	17	𝜀	𝜀	NOUN
american_scientific_journal-1184	50	18	≥	≥	NOUN
american_scientific_journal-1184	50	19	𝑌	𝑌	PROPN
american_scientific_journal-1184	50	20	𝐸	𝐸	PROPN
american_scientific_journal-1184	50	21	�	�	PROPN
american_scientific_journal-1184	50	22	(	(	PUNCT
american_scientific_journal-1184	50	23	1	1	NUM
american_scientific_journal-1184	50	24	)	)	PUNCT
american_scientific_journal-1184	50	25	188	188	NUM
american_scientific_journal-1184	50	26	american	american	ADJ
american_scientific_journal-1184	50	27	scientific	scientific	ADJ
american_scientific_journal-1184	50	28	research	research	NOUN
american_scientific_journal-1184	50	29	journal	journal	NOUN
american_scientific_journal-1184	50	30	for	for	ADP
american_scientific_journal-1184	50	31	engineering	engineering	NOUN
american_scientific_journal-1184	50	32	,	,	PUNCT
american_scientific_journal-1184	50	33	technology	technology	NOUN
american_scientific_journal-1184	50	34	,	,	PUNCT
american_scientific_journal-1184	50	35	and	and	CCONJ
american_scientific_journal-1184	50	36	sciences	science	NOUN
american_scientific_journal-1184	50	37	(	(	PUNCT
american_scientific_journal-1184	50	38	asrjets	asrjet	NOUN
american_scientific_journal-1184	50	39	)	)	PUNCT
american_scientific_journal-1184	50	40	(	(	PUNCT
american_scientific_journal-1184	50	41	2015	2015	NUM
american_scientific_journal-1184	50	42	)	)	PUNCT
american_scientific_journal-1184	50	43	volume	volume	NOUN
american_scientific_journal-1184	50	44	14	14	NUM
american_scientific_journal-1184	50	45	,	,	PUNCT
american_scientific_journal-1184	50	46	no	no	DET
american_scientific_journal-1184	50	47	3	3	NUM
american_scientific_journal-1184	50	48	,	,	PUNCT
american_scientific_journal-1184	50	49	pp	pp	ADV
american_scientific_journal-1184	50	50	187	187	NUM
american_scientific_journal-1184	50	51	-	-	SYM
american_scientific_journal-1184	50	52	201	201	NUM
american_scientific_journal-1184	50	53	where	where	SCONJ
american_scientific_journal-1184	50	54	σ	σ	PROPN
american_scientific_journal-1184	50	55	is	be	AUX
american_scientific_journal-1184	50	56	the	the	DET
american_scientific_journal-1184	50	57	bending	bend	VERB
american_scientific_journal-1184	50	58	stress	stress	NOUN
american_scientific_journal-1184	50	59	,	,	PUNCT
american_scientific_journal-1184	50	60	ε	ε	PROPN
american_scientific_journal-1184	50	61	is	be	AUX
american_scientific_journal-1184	50	62	the	the	DET
american_scientific_journal-1184	50	63	bending	bend	VERB
american_scientific_journal-1184	50	64	strain	strain	NOUN
american_scientific_journal-1184	50	65	,	,	PUNCT
american_scientific_journal-1184	50	66	y	y	PROPN
american_scientific_journal-1184	50	67	is	be	AUX
american_scientific_journal-1184	50	68	the	the	DET
american_scientific_journal-1184	50	69	yield	yield	NOUN
american_scientific_journal-1184	50	70	strength	strength	NOUN
american_scientific_journal-1184	50	71	,	,	PUNCT
american_scientific_journal-1184	50	72	e	e	X
american_scientific_journal-1184	50	73	is	be	AUX
american_scientific_journal-1184	50	74	the	the	DET
american_scientific_journal-1184	50	75	modulus	modulus	NOUN
american_scientific_journal-1184	50	76	of	of	ADP
american_scientific_journal-1184	50	77	elasticity	elasticity	NOUN
american_scientific_journal-1184	50	78	,	,	PUNCT
american_scientific_journal-1184	50	79	k	k	PROPN
american_scientific_journal-1184	50	80	is	be	AUX
american_scientific_journal-1184	50	81	the	the	DET
american_scientific_journal-1184	50	82	strength	strength	NOUN
american_scientific_journal-1184	50	83	coefficient	coefficient	NOUN
american_scientific_journal-1184	50	84	and	and	CCONJ
american_scientific_journal-1184	50	85	n	n	NOUN
american_scientific_journal-1184	50	86	is	be	AUX
american_scientific_journal-1184	50	87	the	the	DET
american_scientific_journal-1184	50	88	strain	strain	NOUN
american_scientific_journal-1184	50	89	hardening	harden	VERB
american_scientific_journal-1184	50	90	exponent	exponent	NOUN
american_scientific_journal-1184	50	91	.	.	PUNCT
american_scientific_journal-1184	51	1	figure	figure	NOUN
american_scientific_journal-1184	51	2	1	1	NUM
american_scientific_journal-1184	51	3	shows	show	VERB
american_scientific_journal-1184	51	4	the	the	DET
american_scientific_journal-1184	51	5	schematic	schematic	ADJ
american_scientific_journal-1184	51	6	plot	plot	NOUN
american_scientific_journal-1184	51	7	of	of	ADP
american_scientific_journal-1184	51	8	applied	apply	VERB
american_scientific_journal-1184	51	9	bending	bend	VERB
american_scientific_journal-1184	51	10	moment	moment	NOUN
american_scientific_journal-1184	51	11	versus	versus	ADP
american_scientific_journal-1184	51	12	curvature	curvature	VERB
american_scientific_journal-1184	51	13	during	during	ADP
american_scientific_journal-1184	51	14	the	the	DET
american_scientific_journal-1184	51	15	formation	formation	NOUN
american_scientific_journal-1184	51	16	of	of	ADP
american_scientific_journal-1184	51	17	a	a	DET
american_scientific_journal-1184	51	18	wide	wide	ADJ
american_scientific_journal-1184	51	19	beam	beam	NOUN
american_scientific_journal-1184	51	20	of	of	ADP
american_scientific_journal-1184	51	21	metal	metal	NOUN
american_scientific_journal-1184	51	22	around	around	ADP
american_scientific_journal-1184	51	23	a	a	DET
american_scientific_journal-1184	51	24	portion	portion	NOUN
american_scientific_journal-1184	51	25	of	of	ADP
american_scientific_journal-1184	51	26	a	a	DET
american_scientific_journal-1184	51	27	cylindrical	cylindrical	ADJ
american_scientific_journal-1184	51	28	die	die	NOUN
american_scientific_journal-1184	51	29	.	.	PUNCT
american_scientific_journal-1184	52	1	at	at	ADP
american_scientific_journal-1184	52	2	point	point	NOUN
american_scientific_journal-1184	52	3	a	a	PRON
american_scientific_journal-1184	52	4	,	,	PUNCT
american_scientific_journal-1184	52	5	the	the	DET
american_scientific_journal-1184	52	6	material	material	NOUN
american_scientific_journal-1184	52	7	yields	yield	NOUN
american_scientific_journal-1184	52	8	and	and	CCONJ
american_scientific_journal-1184	52	9	plastic	plastic	ADJ
american_scientific_journal-1184	52	10	deformation	deformation	NOUN
american_scientific_journal-1184	52	11	continuous	continuous	ADJ
american_scientific_journal-1184	52	12	until	until	ADP
american_scientific_journal-1184	52	13	the	the	DET
american_scientific_journal-1184	52	14	inside	inside	ADJ
american_scientific_journal-1184	52	15	surface	surface	NOUN
american_scientific_journal-1184	52	16	of	of	ADP
american_scientific_journal-1184	52	17	the	the	DET
american_scientific_journal-1184	52	18	material	material	NOUN
american_scientific_journal-1184	52	19	conforms	conform	VERB
american_scientific_journal-1184	52	20	to	to	PART
american_scientific_journal-1184	52	21	die	die	VERB
american_scientific_journal-1184	52	22	at	at	ADP
american_scientific_journal-1184	52	23	point	point	NOUN
american_scientific_journal-1184	52	24	b	b	PROPN
american_scientific_journal-1184	52	25	when	when	SCONJ
american_scientific_journal-1184	52	26	the	the	DET
american_scientific_journal-1184	52	27	applied	apply	VERB
american_scientific_journal-1184	52	28	moment	moment	NOUN
american_scientific_journal-1184	52	29	is	be	AUX
american_scientific_journal-1184	52	30	released	release	VERB
american_scientific_journal-1184	52	31	elastic	elastic	ADJ
american_scientific_journal-1184	52	32	springback	springback	NOUN
american_scientific_journal-1184	52	33	occurs	occur	VERB
american_scientific_journal-1184	52	34	from	from	ADP
american_scientific_journal-1184	52	35	b	b	PROPN
american_scientific_journal-1184	52	36	to	to	ADP
american_scientific_journal-1184	52	37	c.	c.	PROPN
american_scientific_journal-1184	52	38	the	the	DET
american_scientific_journal-1184	52	39	change	change	NOUN
american_scientific_journal-1184	52	40	in	in	ADP
american_scientific_journal-1184	52	41	curvature	curvature	NOUN
american_scientific_journal-1184	52	42	due	due	ADP
american_scientific_journal-1184	52	43	to	to	ADP
american_scientific_journal-1184	52	44	this	this	DET
american_scientific_journal-1184	52	45	elastic	elastic	ADJ
american_scientific_journal-1184	52	46	springback	springback	NOUN
american_scientific_journal-1184	52	47	is	be	AUX
american_scientific_journal-1184	52	48	(	(	PUNCT
american_scientific_journal-1184	52	49	1/𝑅𝑅o)(1	1/𝑅𝑅o)(1	NUM
american_scientific_journal-1184	52	50	/	/	SYM
american_scientific_journal-1184	52	51	rf	rf	NOUN
american_scientific_journal-1184	52	52	)	)	PUNCT
american_scientific_journal-1184	52	53	,	,	PUNCT
american_scientific_journal-1184	52	54	which	which	PRON
american_scientific_journal-1184	52	55	is	be	AUX
american_scientific_journal-1184	52	56	from	from	ADP
american_scientific_journal-1184	52	57	figure	figure	NOUN
american_scientific_journal-1184	52	58	1	1	NUM
american_scientific_journal-1184	52	59	,	,	PUNCT
american_scientific_journal-1184	52	60	1	1	NUM
american_scientific_journal-1184	52	61	𝑅𝑅𝑜	𝑅𝑅𝑜	VERB
american_scientific_journal-1184	52	62	−	−	ADP
american_scientific_journal-1184	52	63	1	1	NUM
american_scientific_journal-1184	52	64	𝑅𝑅𝑓	𝑅𝑅𝑓	NOUN
american_scientific_journal-1184	52	65	=	=	PUNCT
american_scientific_journal-1184	53	1	𝑀𝑚𝑎𝑥	𝑀𝑚𝑎𝑥	PROPN
american_scientific_journal-1184	53	2	𝜕𝑀𝐸	𝜕𝑀𝐸	VERB
american_scientific_journal-1184	53	3	𝜕(1	𝜕(1	ADJ
american_scientific_journal-1184	53	4	𝑅𝑅⁄	𝑅𝑅⁄	NOUN
american_scientific_journal-1184	53	5	)	)	PUNCT
american_scientific_journal-1184	54	1	⁄	⁄	PROPN
american_scientific_journal-1184	54	2	(	(	PUNCT
american_scientific_journal-1184	54	3	2	2	NUM
american_scientific_journal-1184	54	4	)	)	PUNCT
american_scientific_journal-1184	54	5	figure	figure	NOUN
american_scientific_journal-1184	54	6	1	1	NUM
american_scientific_journal-1184	54	7	:	:	PUNCT
american_scientific_journal-1184	54	8	schematic	schematic	ADJ
american_scientific_journal-1184	54	9	representation	representation	NOUN
american_scientific_journal-1184	54	10	of	of	ADP
american_scientific_journal-1184	54	11	curvature	curvature	NOUN
american_scientific_journal-1184	54	12	versus	versus	ADP
american_scientific_journal-1184	54	13	applied	apply	VERB
american_scientific_journal-1184	54	14	moment	moment	NOUN
american_scientific_journal-1184	54	15	during	during	ADP
american_scientific_journal-1184	54	16	bending	bend	VERB
american_scientific_journal-1184	54	17	the	the	DET
american_scientific_journal-1184	54	18	figure	figure	NOUN
american_scientific_journal-1184	54	19	2	2	NUM
american_scientific_journal-1184	54	20	shows	show	VERB
american_scientific_journal-1184	54	21	the	the	DET
american_scientific_journal-1184	54	22	i	i	PROPN
american_scientific_journal-1184	54	23	-	-	PUNCT
american_scientific_journal-1184	54	24	section	section	NOUN
american_scientific_journal-1184	54	25	considered	consider	VERB
american_scientific_journal-1184	54	26	in	in	ADP
american_scientific_journal-1184	54	27	this	this	DET
american_scientific_journal-1184	54	28	study	study	NOUN
american_scientific_journal-1184	54	29	.	.	PUNCT
american_scientific_journal-1184	55	1	the	the	DET
american_scientific_journal-1184	55	2	following	follow	VERB
american_scientific_journal-1184	55	3	assumptions	assumption	NOUN
american_scientific_journal-1184	55	4	are	be	AUX
american_scientific_journal-1184	55	5	considered	consider	VERB
american_scientific_journal-1184	55	6	to	to	PART
american_scientific_journal-1184	55	7	simplify	simplify	VERB
american_scientific_journal-1184	55	8	the	the	DET
american_scientific_journal-1184	55	9	analysis	analysis	NOUN
american_scientific_journal-1184	55	10	of	of	ADP
american_scientific_journal-1184	55	11	the	the	DET
american_scientific_journal-1184	55	12	bending	bend	VERB
american_scientific_journal-1184	55	13	process	process	NOUN
american_scientific_journal-1184	55	14	:	:	PUNCT
american_scientific_journal-1184	55	15	(	(	PUNCT
american_scientific_journal-1184	55	16	1	1	X
american_scientific_journal-1184	55	17	)	)	PUNCT
american_scientific_journal-1184	55	18	the	the	DET
american_scientific_journal-1184	55	19	stress	stress	NOUN
american_scientific_journal-1184	55	20	-	-	PUNCT
american_scientific_journal-1184	55	21	strain	strain	NOUN
american_scientific_journal-1184	55	22	characteristics	characteristic	NOUN
american_scientific_journal-1184	55	23	of	of	ADP
american_scientific_journal-1184	55	24	material	material	NOUN
american_scientific_journal-1184	55	25	are	be	AUX
american_scientific_journal-1184	55	26	the	the	DET
american_scientific_journal-1184	55	27	same	same	ADJ
american_scientific_journal-1184	55	28	in	in	ADP
american_scientific_journal-1184	55	29	tension	tension	NOUN
american_scientific_journal-1184	55	30	and	and	CCONJ
american_scientific_journal-1184	55	31	compression	compression	NOUN
american_scientific_journal-1184	55	32	.	.	PUNCT
american_scientific_journal-1184	56	1	(	(	PUNCT
american_scientific_journal-1184	56	2	2	2	X
american_scientific_journal-1184	56	3	)	)	PUNCT
american_scientific_journal-1184	56	4	the	the	DET
american_scientific_journal-1184	56	5	friction	friction	NOUN
american_scientific_journal-1184	56	6	effect	effect	NOUN
american_scientific_journal-1184	56	7	at	at	ADP
american_scientific_journal-1184	56	8	the	the	DET
american_scientific_journal-1184	56	9	interface	interface	NOUN
american_scientific_journal-1184	56	10	between	between	ADP
american_scientific_journal-1184	56	11	the	the	DET
american_scientific_journal-1184	56	12	beam	beam	NOUN
american_scientific_journal-1184	56	13	and	and	CCONJ
american_scientific_journal-1184	56	14	the	the	DET
american_scientific_journal-1184	56	15	die	die	NOUN
american_scientific_journal-1184	56	16	is	be	AUX
american_scientific_journal-1184	56	17	neglected	neglect	VERB
american_scientific_journal-1184	56	18	.	.	PUNCT
american_scientific_journal-1184	57	1	(	(	PUNCT
american_scientific_journal-1184	57	2	3	3	X
american_scientific_journal-1184	57	3	)	)	PUNCT
american_scientific_journal-1184	57	4	the	the	DET
american_scientific_journal-1184	57	5	cross	cross	NOUN
american_scientific_journal-1184	57	6	section	section	NOUN
american_scientific_journal-1184	57	7	dimensions	dimension	NOUN
american_scientific_journal-1184	57	8	of	of	ADP
american_scientific_journal-1184	57	9	the	the	DET
american_scientific_journal-1184	57	10	beam	beam	NOUN
american_scientific_journal-1184	57	11	are	be	AUX
american_scientific_journal-1184	57	12	such	such	ADJ
american_scientific_journal-1184	57	13	that	that	SCONJ
american_scientific_journal-1184	57	14	the	the	DET
american_scientific_journal-1184	57	15	width	width	NOUN
american_scientific_journal-1184	57	16	to	to	ADP
american_scientific_journal-1184	57	17	height	height	NOUN
american_scientific_journal-1184	57	18	ratio	ratio	NOUN
american_scientific_journal-1184	57	19	is	be	AUX
american_scientific_journal-1184	57	20	large	large	ADJ
american_scientific_journal-1184	57	21	.	.	PUNCT
american_scientific_journal-1184	58	1	(	(	PUNCT
american_scientific_journal-1184	58	2	4)the	4)the	DET
american_scientific_journal-1184	58	3	natural	natural	ADJ
american_scientific_journal-1184	58	4	surface	surface	NOUN
american_scientific_journal-1184	58	5	is	be	AUX
american_scientific_journal-1184	58	6	always	always	ADV
american_scientific_journal-1184	58	7	in	in	ADP
american_scientific_journal-1184	58	8	the	the	DET
american_scientific_journal-1184	58	9	centre	centre	NOUN
american_scientific_journal-1184	58	10	of	of	ADP
american_scientific_journal-1184	58	11	the	the	DET
american_scientific_journal-1184	58	12	beam	beam	NOUN
american_scientific_journal-1184	58	13	,	,	PUNCT
american_scientific_journal-1184	58	14	and	and	CCONJ
american_scientific_journal-1184	58	15	plane	plane	NOUN
american_scientific_journal-1184	58	16	sections	section	NOUN
american_scientific_journal-1184	58	17	remain	remain	VERB
american_scientific_journal-1184	58	18	plane	plane	NOUN
american_scientific_journal-1184	58	19	during	during	ADP
american_scientific_journal-1184	58	20	bending	bend	VERB
american_scientific_journal-1184	58	21	.	.	PUNCT
american_scientific_journal-1184	59	1	(	(	PUNCT
american_scientific_journal-1184	59	2	5	5	X
american_scientific_journal-1184	59	3	)	)	PUNCT
american_scientific_journal-1184	59	4	the	the	DET
american_scientific_journal-1184	59	5	cross	cross	NOUN
american_scientific_journal-1184	59	6	section	section	NOUN
american_scientific_journal-1184	59	7	dimensions	dimension	NOUN
american_scientific_journal-1184	59	8	of	of	ADP
american_scientific_journal-1184	59	9	the	the	DET
american_scientific_journal-1184	59	10	beam	beam	NOUN
american_scientific_journal-1184	59	11	do	do	AUX
american_scientific_journal-1184	59	12	not	not	PART
american_scientific_journal-1184	59	13	change	change	VERB
american_scientific_journal-1184	59	14	significantly	significantly	ADV
american_scientific_journal-1184	59	15	in	in	ADP
american_scientific_journal-1184	59	16	bending	bend	VERB
american_scientific_journal-1184	59	17	.	.	PUNCT
american_scientific_journal-1184	60	1	(	(	PUNCT
american_scientific_journal-1184	60	2	6	6	X
american_scientific_journal-1184	60	3	)	)	PUNCT
american_scientific_journal-1184	60	4	the	the	DET
american_scientific_journal-1184	60	5	radius	radius	NOUN
american_scientific_journal-1184	60	6	of	of	ADP
american_scientific_journal-1184	60	7	bending	bending	NOUN
american_scientific_journal-1184	60	8	is	be	AUX
american_scientific_journal-1184	60	9	large	large	ADJ
american_scientific_journal-1184	60	10	compared	compare	VERB
american_scientific_journal-1184	60	11	to	to	ADP
american_scientific_journal-1184	60	12	the	the	DET
american_scientific_journal-1184	60	13	height	height	NOUN
american_scientific_journal-1184	60	14	of	of	ADP
american_scientific_journal-1184	60	15	the	the	DET
american_scientific_journal-1184	60	16	beam	beam	NOUN
american_scientific_journal-1184	60	17	so	so	ADV
american_scientific_journal-1184	60	18	radial	radial	ADJ
american_scientific_journal-1184	60	19	stresses	stress	NOUN
american_scientific_journal-1184	60	20	are	be	AUX
american_scientific_journal-1184	60	21	assumed	assume	VERB
american_scientific_journal-1184	60	22	to	to	PART
american_scientific_journal-1184	60	23	be	be	AUX
american_scientific_journal-1184	60	24	negligible	negligible	ADJ
american_scientific_journal-1184	60	25	.	.	PUNCT
american_scientific_journal-1184	61	1	189	189	NUM
american_scientific_journal-1184	61	2	american	american	ADJ
american_scientific_journal-1184	61	3	scientific	scientific	ADJ
american_scientific_journal-1184	61	4	research	research	NOUN
american_scientific_journal-1184	61	5	journal	journal	NOUN
american_scientific_journal-1184	61	6	for	for	ADP
american_scientific_journal-1184	61	7	engineering	engineering	NOUN
american_scientific_journal-1184	61	8	,	,	PUNCT
american_scientific_journal-1184	61	9	technology	technology	NOUN
american_scientific_journal-1184	61	10	,	,	PUNCT
american_scientific_journal-1184	61	11	and	and	CCONJ
american_scientific_journal-1184	61	12	sciences	science	NOUN
american_scientific_journal-1184	61	13	(	(	PUNCT
american_scientific_journal-1184	61	14	asrjets	asrjet	NOUN
american_scientific_journal-1184	61	15	)	)	PUNCT
american_scientific_journal-1184	61	16	(	(	PUNCT
american_scientific_journal-1184	61	17	2015	2015	NUM
american_scientific_journal-1184	61	18	)	)	PUNCT
american_scientific_journal-1184	61	19	volume	volume	NOUN
american_scientific_journal-1184	61	20	14	14	NUM
american_scientific_journal-1184	61	21	,	,	PUNCT
american_scientific_journal-1184	61	22	no	no	DET
american_scientific_journal-1184	61	23	3	3	NUM
american_scientific_journal-1184	61	24	,	,	PUNCT
american_scientific_journal-1184	61	25	pp	pp	ADV
american_scientific_journal-1184	61	26	187	187	NUM
american_scientific_journal-1184	61	27	-	-	SYM
american_scientific_journal-1184	61	28	201	201	NUM
american_scientific_journal-1184	61	29	(	(	PUNCT
american_scientific_journal-1184	61	30	7	7	NUM
american_scientific_journal-1184	61	31	)	)	PUNCT
american_scientific_journal-1184	61	32	the	the	DET
american_scientific_journal-1184	61	33	circumferential	circumferential	ADJ
american_scientific_journal-1184	61	34	strains	strain	NOUN
american_scientific_journal-1184	61	35	are	be	AUX
american_scientific_journal-1184	61	36	sufficiently	sufficiently	ADV
american_scientific_journal-1184	61	37	small	small	ADJ
american_scientific_journal-1184	61	38	so	so	SCONJ
american_scientific_journal-1184	61	39	that	that	SCONJ
american_scientific_journal-1184	61	40	the	the	DET
american_scientific_journal-1184	61	41	conventional	conventional	ADJ
american_scientific_journal-1184	61	42	strain	strain	NOUN
american_scientific_journal-1184	61	43	and	and	CCONJ
american_scientific_journal-1184	61	44	the	the	DET
american_scientific_journal-1184	61	45	true	true	ADJ
american_scientific_journal-1184	61	46	strain	strain	NOUN
american_scientific_journal-1184	61	47	are	be	AUX
american_scientific_journal-1184	61	48	approximately	approximately	ADV
american_scientific_journal-1184	61	49	equivalent	equivalent	ADJ
american_scientific_journal-1184	61	50	.	.	PUNCT
american_scientific_journal-1184	62	1	(	(	PUNCT
american_scientific_journal-1184	62	2	8)the	8)the	DET
american_scientific_journal-1184	62	3	transverse	transverse	NOUN
american_scientific_journal-1184	62	4	strain	strain	NOUN
american_scientific_journal-1184	62	5	is	be	AUX
american_scientific_journal-1184	62	6	zero	zero	NUM
american_scientific_journal-1184	62	7	at	at	ADP
american_scientific_journal-1184	62	8	any	any	DET
american_scientific_journal-1184	62	9	point	point	NOUN
american_scientific_journal-1184	62	10	in	in	ADP
american_scientific_journal-1184	62	11	the	the	DET
american_scientific_journal-1184	62	12	beam	beam	NOUN
american_scientific_journal-1184	62	13	.	.	PUNCT
american_scientific_journal-1184	63	1	(	(	PUNCT
american_scientific_journal-1184	63	2	9	9	X
american_scientific_journal-1184	63	3	)	)	PUNCT
american_scientific_journal-1184	63	4	the	the	DET
american_scientific_journal-1184	63	5	circumferential	circumferential	ADJ
american_scientific_journal-1184	63	6	strain	strain	NOUN
american_scientific_journal-1184	63	7	for	for	ADP
american_scientific_journal-1184	63	8	any	any	DET
american_scientific_journal-1184	63	9	fiber	fiber	NOUN
american_scientific_journal-1184	63	10	does	do	AUX
american_scientific_journal-1184	63	11	not	not	PART
american_scientific_journal-1184	63	12	vary	vary	VERB
american_scientific_journal-1184	63	13	along	along	ADP
american_scientific_journal-1184	63	14	the	the	DET
american_scientific_journal-1184	63	15	bent	bent	ADJ
american_scientific_journal-1184	63	16	section	section	NOUN
american_scientific_journal-1184	63	17	.	.	PUNCT
american_scientific_journal-1184	64	1	the	the	DET
american_scientific_journal-1184	64	2	relationship	relationship	NOUN
american_scientific_journal-1184	64	3	between	between	ADP
american_scientific_journal-1184	64	4	the	the	DET
american_scientific_journal-1184	64	5	principal	principal	NOUN
american_scientific_journal-1184	64	6	stresses	stress	NOUN
american_scientific_journal-1184	64	7	and	and	CCONJ
american_scientific_journal-1184	64	8	strain	strain	VERB
american_scientific_journal-1184	64	9	for	for	ADP
american_scientific_journal-1184	64	10	the	the	DET
american_scientific_journal-1184	64	11	elastic	elastic	NOUN
american_scientific_journal-1184	64	12	according	accord	VERB
american_scientific_journal-1184	64	13	to	to	ADP
american_scientific_journal-1184	64	14	hooke	hooke	PROPN
american_scientific_journal-1184	64	15	's	's	PART
american_scientific_journal-1184	64	16	law	law	NOUN
american_scientific_journal-1184	64	17	,	,	PUNCT
american_scientific_journal-1184	64	18	figure	figure	VERB
american_scientific_journal-1184	64	19	2	2	NUM
american_scientific_journal-1184	64	20	:	:	PUNCT
american_scientific_journal-1184	64	21	the	the	DET
american_scientific_journal-1184	64	22	i	i	PROPN
american_scientific_journal-1184	64	23	-	-	PUNCT
american_scientific_journal-1184	64	24	section	section	NOUN
american_scientific_journal-1184	64	25	𝜀𝑥	𝜀𝑥	NOUN
american_scientific_journal-1184	64	26	=	=	SYM
american_scientific_journal-1184	64	27	1	1	NUM
american_scientific_journal-1184	64	28	𝐸	𝐸	PROPN
american_scientific_journal-1184	64	29	�	�	PROPN
american_scientific_journal-1184	64	30	𝜎𝑥	𝜎𝑥	NOUN
american_scientific_journal-1184	64	31	−	−	PROPN
american_scientific_journal-1184	64	32	𝒱𝒱	𝒱𝒱	PROPN
american_scientific_journal-1184	64	33	�	�	PROPN
american_scientific_journal-1184	64	34	𝜎𝑦	𝜎𝑦	PROPN
american_scientific_journal-1184	64	35	+	+	PROPN
american_scientific_journal-1184	64	36	𝜎𝑧	𝜎𝑧	PROPN
american_scientific_journal-1184	64	37	�	�	PROPN
american_scientific_journal-1184	64	38	�	�	PROPN
american_scientific_journal-1184	64	39	,	,	PUNCT
american_scientific_journal-1184	64	40	𝜀𝑦	𝜀𝑦	NOUN
american_scientific_journal-1184	64	41	=	=	SYM
american_scientific_journal-1184	64	42	1	1	NUM
american_scientific_journal-1184	64	43	𝐸	𝐸	PROPN
american_scientific_journal-1184	64	44	�	�	NOUN
american_scientific_journal-1184	64	45	𝜎𝑦	𝜎𝑦	DET
american_scientific_journal-1184	64	46	−	−	PROPN
american_scientific_journal-1184	64	47	𝒱𝒱(𝜎𝑥	𝒱𝒱(𝜎𝑥	PROPN
american_scientific_journal-1184	64	48	+	+	CCONJ
american_scientific_journal-1184	64	49	𝜎𝑧	𝜎𝑧	PROPN
american_scientific_journal-1184	64	50	)	)	PUNCT
american_scientific_journal-1184	64	51	�	�	PROPN
american_scientific_journal-1184	64	52	,	,	PUNCT
american_scientific_journal-1184	64	53	𝜀𝑧	𝜀𝑧	ADP
american_scientific_journal-1184	64	54	=	=	SYM
american_scientific_journal-1184	64	55	1	1	NUM
american_scientific_journal-1184	64	56	𝐸	𝐸	PROPN
american_scientific_journal-1184	64	57	�	�	PROPN
american_scientific_journal-1184	64	58	𝜎𝑧	𝜎𝑧	NOUN
american_scientific_journal-1184	64	59	−	−	PROPN
american_scientific_journal-1184	64	60	𝒱𝒱	𝒱𝒱	PROPN
american_scientific_journal-1184	64	61	�	�	PROPN
american_scientific_journal-1184	64	62	𝜎𝑦	𝜎𝑦	PROPN
american_scientific_journal-1184	64	63	+	+	PROPN
american_scientific_journal-1184	64	64	𝜎𝑥	𝜎𝑥	NOUN
american_scientific_journal-1184	64	65	�	�	PROPN
american_scientific_journal-1184	64	66	�	�	PROPN
american_scientific_journal-1184	64	67	,	,	PUNCT
american_scientific_journal-1184	64	68	(	(	PUNCT
american_scientific_journal-1184	64	69	3	3	NUM
american_scientific_journal-1184	64	70	)	)	PUNCT
american_scientific_journal-1184	64	71	according	accord	VERB
american_scientific_journal-1184	64	72	to	to	ADP
american_scientific_journal-1184	64	73	the	the	DET
american_scientific_journal-1184	64	74	assumptions	assumption	NOUN
american_scientific_journal-1184	64	75	that	that	SCONJ
american_scientific_journal-1184	64	76	the	the	DET
american_scientific_journal-1184	64	77	bending	bend	VERB
american_scientific_journal-1184	64	78	radius	radius	NOUN
american_scientific_journal-1184	64	79	is	be	AUX
american_scientific_journal-1184	64	80	large	large	ADJ
american_scientific_journal-1184	64	81	compared	compare	VERB
american_scientific_journal-1184	64	82	to	to	ADP
american_scientific_journal-1184	64	83	the	the	DET
american_scientific_journal-1184	64	84	height	height	NOUN
american_scientific_journal-1184	64	85	of	of	ADP
american_scientific_journal-1184	64	86	the	the	DET
american_scientific_journal-1184	64	87	beam	beam	NOUN
american_scientific_journal-1184	64	88	so	so	ADV
american_scientific_journal-1184	64	89	radial	radial	ADJ
american_scientific_journal-1184	64	90	stresses	stress	NOUN
american_scientific_journal-1184	64	91	is	be	AUX
american_scientific_journal-1184	64	92	zero	zero	NUM
american_scientific_journal-1184	64	93	at	at	ADP
american_scientific_journal-1184	64	94	any	any	DET
american_scientific_journal-1184	64	95	point	point	NOUN
american_scientific_journal-1184	64	96	along	along	ADP
american_scientific_journal-1184	64	97	the	the	DET
american_scientific_journal-1184	64	98	beam	beam	NOUN
american_scientific_journal-1184	64	99	,	,	PUNCT
american_scientific_journal-1184	64	100	𝜎𝑦	𝜎𝑦	PROPN
american_scientific_journal-1184	64	101	=	=	NOUN
american_scientific_journal-1184	64	102	𝜀𝑧	𝜀𝑧	NOUN
american_scientific_journal-1184	64	103	=	=	PUNCT
american_scientific_journal-1184	64	104	𝛿𝑧	𝛿𝑧	PROPN
american_scientific_journal-1184	64	105	=	=	SYM
american_scientific_journal-1184	64	106	0	0	NUM
american_scientific_journal-1184	64	107	(	(	PUNCT
american_scientific_journal-1184	64	108	4	4	NUM
american_scientific_journal-1184	64	109	)	)	PUNCT
american_scientific_journal-1184	64	110	as	as	ADV
american_scientific_journal-1184	64	111	well	well	ADV
american_scientific_journal-1184	64	112	as	as	ADP
american_scientific_journal-1184	64	113	the	the	DET
american_scientific_journal-1184	64	114	circumferential	circumferential	ADJ
american_scientific_journal-1184	64	115	strain	strain	NOUN
american_scientific_journal-1184	64	116	for	for	ADP
american_scientific_journal-1184	64	117	any	any	DET
american_scientific_journal-1184	64	118	fiber	fiber	NOUN
american_scientific_journal-1184	64	119	does	do	AUX
american_scientific_journal-1184	64	120	not	not	PART
american_scientific_journal-1184	64	121	vary	vary	VERB
american_scientific_journal-1184	64	122	along	along	ADP
american_scientific_journal-1184	64	123	the	the	DET
american_scientific_journal-1184	64	124	bent	bent	ADJ
american_scientific_journal-1184	64	125	section	section	NOUN
american_scientific_journal-1184	64	126	;	;	PUNCT
american_scientific_journal-1184	64	127	then	then	ADV
american_scientific_journal-1184	64	128	𝜀𝑥	𝜀𝑥	ADP
american_scientific_journal-1184	64	129	=	=	PUNCT
american_scientific_journal-1184	64	130	𝛿𝑥	𝛿𝑥	PROPN
american_scientific_journal-1184	64	131	(	(	PUNCT
american_scientific_journal-1184	64	132	5	5	NUM
american_scientific_journal-1184	64	133	)	)	PUNCT
american_scientific_journal-1184	64	134	substituting	substitute	VERB
american_scientific_journal-1184	64	135	the	the	DET
american_scientific_journal-1184	64	136	values	value	NOUN
american_scientific_journal-1184	64	137	of	of	ADP
american_scientific_journal-1184	64	138	eq	eq	PROPN
american_scientific_journal-1184	64	139	.	.	PUNCT
american_scientific_journal-1184	65	1	(	(	PUNCT
american_scientific_journal-1184	65	2	4	4	NUM
american_scientific_journal-1184	65	3	)	)	PUNCT
american_scientific_journal-1184	65	4	in	in	ADP
american_scientific_journal-1184	65	5	eq.(3	eq.(3	NOUN
american_scientific_journal-1184	65	6	)	)	PUNCT
american_scientific_journal-1184	65	7	;	;	PUNCT
american_scientific_journal-1184	65	8	yields	yield	NOUN
american_scientific_journal-1184	65	9	to	to	ADP
american_scientific_journal-1184	65	10	h	h	PROPN
american_scientific_journal-1184	65	11	h	h	PROPN
american_scientific_journal-1184	65	12	b	b	PROPN
american_scientific_journal-1184	65	13	b/2	b/2	X
american_scientific_journal-1184	65	14	x	x	SYM
american_scientific_journal-1184	65	15	z	z	NOUN
american_scientific_journal-1184	65	16	y	y	PROPN
american_scientific_journal-1184	65	17	b/2	b/2	PROPN
american_scientific_journal-1184	65	18	190	190	NUM
american_scientific_journal-1184	65	19	american	american	ADJ
american_scientific_journal-1184	65	20	scientific	scientific	ADJ
american_scientific_journal-1184	65	21	research	research	NOUN
american_scientific_journal-1184	65	22	journal	journal	NOUN
american_scientific_journal-1184	65	23	for	for	ADP
american_scientific_journal-1184	65	24	engineering	engineering	NOUN
american_scientific_journal-1184	65	25	,	,	PUNCT
american_scientific_journal-1184	65	26	technology	technology	NOUN
american_scientific_journal-1184	65	27	,	,	PUNCT
american_scientific_journal-1184	65	28	and	and	CCONJ
american_scientific_journal-1184	65	29	sciences	science	NOUN
american_scientific_journal-1184	65	30	(	(	PUNCT
american_scientific_journal-1184	65	31	asrjets	asrjet	NOUN
american_scientific_journal-1184	65	32	)	)	PUNCT
american_scientific_journal-1184	65	33	(	(	PUNCT
american_scientific_journal-1184	65	34	2015	2015	NUM
american_scientific_journal-1184	65	35	)	)	PUNCT
american_scientific_journal-1184	65	36	volume	volume	NOUN
american_scientific_journal-1184	65	37	14	14	NUM
american_scientific_journal-1184	65	38	,	,	PUNCT
american_scientific_journal-1184	65	39	no	no	DET
american_scientific_journal-1184	65	40	3	3	NUM
american_scientific_journal-1184	65	41	,	,	PUNCT
american_scientific_journal-1184	65	42	pp	pp	ADV
american_scientific_journal-1184	65	43	187	187	NUM
american_scientific_journal-1184	65	44	-	-	SYM
american_scientific_journal-1184	65	45	201	201	NUM
american_scientific_journal-1184	65	46	𝜎𝑧	𝜎𝑧	NOUN
american_scientific_journal-1184	65	47	=	=	PUNCT
american_scientific_journal-1184	65	48	𝒱𝒱𝜎𝑥	𝒱𝒱𝜎𝑥	PROPN
american_scientific_journal-1184	65	49	(	(	PUNCT
american_scientific_journal-1184	65	50	6	6	NUM
american_scientific_journal-1184	65	51	)	)	PUNCT
american_scientific_journal-1184	65	52	from	from	ADP
american_scientific_journal-1184	65	53	tresca	tresca	NOUN
american_scientific_journal-1184	65	54	yield	yield	NOUN
american_scientific_journal-1184	65	55	criteria	criterion	NOUN
american_scientific_journal-1184	65	56	(	(	PUNCT
american_scientific_journal-1184	65	57	the	the	DET
american_scientific_journal-1184	65	58	maximum	maximum	ADJ
american_scientific_journal-1184	65	59	shear	shear	NOUN
american_scientific_journal-1184	65	60	stress	stress	NOUN
american_scientific_journal-1184	65	61	theory	theory	NOUN
american_scientific_journal-1184	65	62	)	)	PUNCT
american_scientific_journal-1184	66	1	y	y	PROPN
american_scientific_journal-1184	66	2	=	=	PUNCT
american_scientific_journal-1184	66	3	𝜎𝑥	𝜎𝑥	PROPN
american_scientific_journal-1184	66	4	−	−	PROPN
american_scientific_journal-1184	66	5	𝜎𝑧	𝜎𝑧	ADP
american_scientific_journal-1184	66	6	(	(	PUNCT
american_scientific_journal-1184	66	7	7	7	NUM
american_scientific_journal-1184	66	8	)	)	PUNCT
american_scientific_journal-1184	66	9	or	or	CCONJ
american_scientific_journal-1184	66	10	by	by	ADP
american_scientific_journal-1184	66	11	using	use	VERB
american_scientific_journal-1184	66	12	eq	eq	PROPN
american_scientific_journal-1184	66	13	.	.	PUNCT
american_scientific_journal-1184	67	1	(	(	PUNCT
american_scientific_journal-1184	67	2	6	6	NUM
american_scientific_journal-1184	67	3	)	)	PUNCT
american_scientific_journal-1184	67	4	y	y	PROPN
american_scientific_journal-1184	67	5	=	=	SYM
american_scientific_journal-1184	67	6	𝜎𝑥(1−𝒱𝒱	𝜎𝑥(1−𝒱𝒱	NUM
american_scientific_journal-1184	67	7	)	)	PUNCT
american_scientific_journal-1184	67	8	(	(	PUNCT
american_scientific_journal-1184	67	9	8)	8)	NUM
american_scientific_journal-1184	67	10	at	at	ADP
american_scientific_journal-1184	67	11	yield	yield	NOUN
american_scientific_journal-1184	67	12	point	point	NOUN
american_scientific_journal-1184	67	13	the	the	DET
american_scientific_journal-1184	67	14	stress	stress	NOUN
american_scientific_journal-1184	67	15	in	in	ADP
american_scientific_journal-1184	67	16	elastic	elastic	ADJ
american_scientific_journal-1184	67	17	and	and	CCONJ
american_scientific_journal-1184	67	18	plastic	plastic	NOUN
american_scientific_journal-1184	67	19	region	region	NOUN
american_scientific_journal-1184	67	20	is	be	AUX
american_scientific_journal-1184	67	21	equal	equal	ADJ
american_scientific_journal-1184	67	22	,	,	PUNCT
american_scientific_journal-1184	67	23	so	so	ADV
american_scientific_journal-1184	67	24	e𝜀𝑜	e𝜀𝑜	NOUN
american_scientific_journal-1184	67	25	=	=	SYM
american_scientific_journal-1184	67	26	𝐾εon	𝐾εon	PROPN
american_scientific_journal-1184	67	27	(	(	PUNCT
american_scientific_journal-1184	67	28	9	9	NUM
american_scientific_journal-1184	67	29	)	)	PUNCT
american_scientific_journal-1184	67	30	which	which	PRON
american_scientific_journal-1184	67	31	yields	yield	VERB
american_scientific_journal-1184	67	32	to	to	PART
american_scientific_journal-1184	67	33	𝜀𝑜	𝜀𝑜	PROPN
american_scientific_journal-1184	67	34	=	=	SYM
american_scientific_journal-1184	67	35	�	�	PROPN
american_scientific_journal-1184	67	36	𝐾	𝐾	PROPN
american_scientific_journal-1184	67	37	𝐸	𝐸	PROPN
american_scientific_journal-1184	67	38	�	�	PROPN
american_scientific_journal-1184	67	39	1	1	NUM
american_scientific_journal-1184	67	40	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	67	41	(	(	PUNCT
american_scientific_journal-1184	67	42	10	10	NUM
american_scientific_journal-1184	67	43	)	)	PUNCT
american_scientific_journal-1184	67	44	therefore	therefore	ADV
american_scientific_journal-1184	67	45	the	the	DET
american_scientific_journal-1184	67	46	stress	stress	NOUN
american_scientific_journal-1184	67	47	at	at	ADP
american_scientific_journal-1184	67	48	the	the	DET
american_scientific_journal-1184	67	49	yield	yield	NOUN
american_scientific_journal-1184	67	50	point	point	NOUN
american_scientific_journal-1184	67	51	is	be	AUX
american_scientific_journal-1184	67	52	𝜎𝑜	𝜎𝑜	NOUN
american_scientific_journal-1184	67	53	=	=	NOUN
american_scientific_journal-1184	67	54	k𝜀𝑜𝑛	k𝜀𝑜𝑛	NOUN
american_scientific_journal-1184	67	55	=	=	SYM
american_scientific_journal-1184	67	56	𝐾	𝐾	PROPN
american_scientific_journal-1184	67	57	�	�	PROPN
american_scientific_journal-1184	67	58	𝐾	𝐾	PROPN
american_scientific_journal-1184	67	59	𝐸	𝐸	PROPN
american_scientific_journal-1184	67	60	�	�	NOUN
american_scientific_journal-1184	67	61	𝑛	𝑛	ADJ
american_scientific_journal-1184	67	62	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	67	63	(	(	PUNCT
american_scientific_journal-1184	67	64	11	11	NUM
american_scientific_journal-1184	67	65	)	)	PUNCT
american_scientific_journal-1184	67	66	substation	substation	NOUN
american_scientific_journal-1184	67	67	with	with	ADP
american_scientific_journal-1184	67	68	eq	eq	NOUN
american_scientific_journal-1184	67	69	.	.	PUNCT
american_scientific_journal-1184	68	1	(	(	PUNCT
american_scientific_journal-1184	68	2	8)	8)	NUM
american_scientific_journal-1184	68	3	in	in	ADP
american_scientific_journal-1184	68	4	eq	eq	ADP
american_scientific_journal-1184	68	5	.	.	PUNCT
american_scientific_journal-1184	69	1	(	(	PUNCT
american_scientific_journal-1184	69	2	11	11	NUM
american_scientific_journal-1184	69	3	)	)	PUNCT
american_scientific_journal-1184	69	4	𝜎𝑜	𝜎𝑜	NOUN
american_scientific_journal-1184	70	1	=	=	SYM
american_scientific_journal-1184	70	2	𝜎𝑥(1−	𝜎𝑥(1−	PROPN
american_scientific_journal-1184	70	3	𝒱𝒱	𝒱𝒱	PROPN
american_scientific_journal-1184	70	4	)	)	PUNCT
american_scientific_journal-1184	70	5	=	=	SYM
american_scientific_journal-1184	71	1	𝐾	𝐾	PROPN
american_scientific_journal-1184	71	2	�	�	PROPN
american_scientific_journal-1184	71	3	𝐾	𝐾	PROPN
american_scientific_journal-1184	71	4	𝐸	𝐸	PROPN
american_scientific_journal-1184	71	5	�	�	NOUN
american_scientific_journal-1184	71	6	𝑛	𝑛	ADJ
american_scientific_journal-1184	71	7	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	71	8	(	(	PUNCT
american_scientific_journal-1184	71	9	12	12	NUM
american_scientific_journal-1184	71	10	)	)	PUNCT
american_scientific_journal-1184	71	11	𝜎𝑥	𝜎𝑥	NOUN
american_scientific_journal-1184	71	12	=	=	SYM
american_scientific_journal-1184	71	13	𝐾	𝐾	PROPN
american_scientific_journal-1184	71	14	�	�	PROPN
american_scientific_journal-1184	71	15	𝐾𝐸	𝐾𝐸	PROPN
american_scientific_journal-1184	71	16	�	�	PROPN
american_scientific_journal-1184	71	17	𝑛	𝑛	PROPN
american_scientific_journal-1184	71	18	(	(	PUNCT
american_scientific_journal-1184	71	19	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	71	20	)	)	PUNCT
american_scientific_journal-1184	71	21	(	(	PUNCT
american_scientific_journal-1184	71	22	1−𝒱𝒱	1−𝒱𝒱	NUM
american_scientific_journal-1184	71	23	)	)	PUNCT
american_scientific_journal-1184	71	24	(	(	PUNCT
american_scientific_journal-1184	71	25	13	13	NUM
american_scientific_journal-1184	71	26	)	)	PUNCT
american_scientific_journal-1184	71	27	thus	thus	ADV
american_scientific_journal-1184	71	28	,	,	PUNCT
american_scientific_journal-1184	71	29	𝜀𝑥	𝜀𝑥	ADP
american_scientific_journal-1184	71	30	=	=	PUNCT
american_scientific_journal-1184	71	31	�	�	PROPN
american_scientific_journal-1184	71	32	1	1	NUM
american_scientific_journal-1184	71	33	𝐸	𝐸	PROPN
american_scientific_journal-1184	71	34	�	�	PROPN
american_scientific_journal-1184	71	35	𝜎𝑥(1−𝒱𝒱2	𝜎𝑥(1−𝒱𝒱2	NOUN
american_scientific_journal-1184	71	36	)	)	PUNCT
american_scientific_journal-1184	71	37	(	(	PUNCT
american_scientific_journal-1184	71	38	14	14	NUM
american_scientific_journal-1184	71	39	)	)	PUNCT
american_scientific_journal-1184	71	40	in	in	ADP
american_scientific_journal-1184	71	41	addition	addition	NOUN
american_scientific_journal-1184	71	42	the	the	DET
american_scientific_journal-1184	71	43	circumferential	circumferential	ADJ
american_scientific_journal-1184	71	44	strain	strain	NOUN
american_scientific_journal-1184	71	45	at	at	ADP
american_scientific_journal-1184	71	46	the	the	DET
american_scientific_journal-1184	71	47	yield	yield	NOUN
american_scientific_journal-1184	71	48	point	point	NOUN
american_scientific_journal-1184	71	49	is	be	AUX
american_scientific_journal-1184	71	50	𝜀𝑜𝑥	𝜀𝑜𝑥	NOUN
american_scientific_journal-1184	71	51	=	=	SYM
american_scientific_journal-1184	71	52	�	�	PROPN
american_scientific_journal-1184	71	53	1	1	NUM
american_scientific_journal-1184	71	54	𝐸	𝐸	PROPN
american_scientific_journal-1184	71	55	�	�	PROPN
american_scientific_journal-1184	71	56	𝜎𝑜(1−𝒱𝒱2	𝜎𝑜(1−𝒱𝒱2	PROPN
american_scientific_journal-1184	71	57	)	)	PUNCT
american_scientific_journal-1184	71	58	(	(	PUNCT
american_scientific_journal-1184	71	59	15	15	NUM
american_scientific_journal-1184	71	60	)	)	PUNCT
american_scientific_journal-1184	71	61	substitute	substitute	NOUN
american_scientific_journal-1184	71	62	with	with	ADP
american_scientific_journal-1184	71	63	eq.(11	eq.(11	PROPN
american_scientific_journal-1184	71	64	)	)	PUNCT
american_scientific_journal-1184	71	65	,	,	PUNCT
american_scientific_journal-1184	71	66	get	get	VERB
american_scientific_journal-1184	71	67	𝜀𝑜𝑥	𝜀𝑜𝑥	NOUN
american_scientific_journal-1184	71	68	=	=	SYM
american_scientific_journal-1184	71	69	�	�	PROPN
american_scientific_journal-1184	71	70	𝐾	𝐾	PROPN
american_scientific_journal-1184	71	71	𝐸	𝐸	PROPN
american_scientific_journal-1184	71	72	�	�	PROPN
american_scientific_journal-1184	71	73	1	1	NUM
american_scientific_journal-1184	71	74	(	(	PUNCT
american_scientific_journal-1184	71	75	1−𝑛)⁄	1−𝑛)⁄	PROPN
american_scientific_journal-1184	71	76	(	(	PUNCT
american_scientific_journal-1184	71	77	1	1	NUM
american_scientific_journal-1184	71	78	+	+	CCONJ
american_scientific_journal-1184	71	79	𝒱𝒱	𝒱𝒱	PROPN
american_scientific_journal-1184	71	80	)	)	PUNCT
american_scientific_journal-1184	71	81	(	(	PUNCT
american_scientific_journal-1184	71	82	16	16	NUM
american_scientific_journal-1184	71	83	)	)	PUNCT
american_scientific_journal-1184	71	84	191	191	NUM
american_scientific_journal-1184	71	85	american	american	ADJ
american_scientific_journal-1184	71	86	scientific	scientific	ADJ
american_scientific_journal-1184	71	87	research	research	NOUN
american_scientific_journal-1184	71	88	journal	journal	NOUN
american_scientific_journal-1184	71	89	for	for	ADP
american_scientific_journal-1184	71	90	engineering	engineering	NOUN
american_scientific_journal-1184	71	91	,	,	PUNCT
american_scientific_journal-1184	71	92	technology	technology	NOUN
american_scientific_journal-1184	71	93	,	,	PUNCT
american_scientific_journal-1184	71	94	and	and	CCONJ
american_scientific_journal-1184	71	95	sciences	science	NOUN
american_scientific_journal-1184	71	96	(	(	PUNCT
american_scientific_journal-1184	71	97	asrjets	asrjet	NOUN
american_scientific_journal-1184	71	98	)	)	PUNCT
american_scientific_journal-1184	71	99	(	(	PUNCT
american_scientific_journal-1184	71	100	2015	2015	NUM
american_scientific_journal-1184	71	101	)	)	PUNCT
american_scientific_journal-1184	71	102	volume	volume	NOUN
american_scientific_journal-1184	71	103	14	14	NUM
american_scientific_journal-1184	71	104	,	,	PUNCT
american_scientific_journal-1184	71	105	no	no	DET
american_scientific_journal-1184	71	106	3	3	NUM
american_scientific_journal-1184	71	107	,	,	PUNCT
american_scientific_journal-1184	71	108	pp	pp	ADV
american_scientific_journal-1184	71	109	187	187	NUM
american_scientific_journal-1184	71	110	-	-	SYM
american_scientific_journal-1184	71	111	201	201	NUM
american_scientific_journal-1184	71	112	the	the	DET
american_scientific_journal-1184	71	113	previous	previous	ADJ
american_scientific_journal-1184	71	114	value	value	NOUN
american_scientific_journal-1184	71	115	is	be	AUX
american_scientific_journal-1184	71	116	the	the	DET
american_scientific_journal-1184	71	117	circumferential	circumferential	ADJ
american_scientific_journal-1184	71	118	strain	strain	NOUN
american_scientific_journal-1184	71	119	at	at	ADP
american_scientific_journal-1184	71	120	elastic	elastic	ADJ
american_scientific_journal-1184	71	121	-	-	PUNCT
american_scientific_journal-1184	71	122	plastic	plastic	NOUN
american_scientific_journal-1184	71	123	interface	interface	NOUN
american_scientific_journal-1184	71	124	.	.	PUNCT
american_scientific_journal-1184	72	1	therefore	therefore	ADV
american_scientific_journal-1184	72	2	the	the	DET
american_scientific_journal-1184	72	3	identical	identical	ADJ
american_scientific_journal-1184	72	4	stress	stress	NOUN
american_scientific_journal-1184	72	5	is	be	AUX
american_scientific_journal-1184	72	6	𝜎𝑥	𝜎𝑥	ADP
american_scientific_journal-1184	72	7	=	=	PUNCT
american_scientific_journal-1184	72	8	𝐸	𝐸	PROPN
american_scientific_journal-1184	72	9	(	(	PUNCT
american_scientific_journal-1184	72	10	1−𝒱𝒱2	1−𝒱𝒱2	NOUN
american_scientific_journal-1184	72	11	)	)	PUNCT
american_scientific_journal-1184	72	12	𝜀𝑥	𝜀𝑥	ADP
american_scientific_journal-1184	72	13	(	(	PUNCT
american_scientific_journal-1184	72	14	17	17	NUM
american_scientific_journal-1184	72	15	)	)	PUNCT
american_scientific_journal-1184	72	16	where𝜀𝑥	where𝜀𝑥	NOUN
american_scientific_journal-1184	72	17	=	=	SYM
american_scientific_journal-1184	72	18	𝑦	𝑦	SYM
american_scientific_journal-1184	72	19	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	72	20	,	,	PUNCT
american_scientific_journal-1184	72	21	then	then	ADV
american_scientific_journal-1184	72	22	𝜎𝑥	𝜎𝑥	VERB
american_scientific_journal-1184	72	23	=	=	SYM
american_scientific_journal-1184	72	24	𝐸	𝐸	PROPN
american_scientific_journal-1184	72	25	(	(	PUNCT
american_scientific_journal-1184	72	26	1−𝒱𝒱2	1−𝒱𝒱2	PROPN
american_scientific_journal-1184	72	27	)	)	PUNCT
american_scientific_journal-1184	72	28	�	�	PROPN
american_scientific_journal-1184	72	29	𝑦	𝑦	PROPN
american_scientific_journal-1184	72	30	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	72	31	�	�	PROPN
american_scientific_journal-1184	72	32	(	(	PUNCT
american_scientific_journal-1184	72	33	18	18	NUM
american_scientific_journal-1184	72	34	)	)	PUNCT
american_scientific_journal-1184	72	35	from	from	ADP
american_scientific_journal-1184	72	36	the	the	DET
american_scientific_journal-1184	72	37	deformation	deformation	NOUN
american_scientific_journal-1184	72	38	theory	theory	NOUN
american_scientific_journal-1184	72	39	of	of	ADP
american_scientific_journal-1184	72	40	plasticity	plasticity	NOUN
american_scientific_journal-1184	72	41	𝛿𝑥	𝛿𝑥	NOUN
american_scientific_journal-1184	72	42	=	=	SYM
american_scientific_journal-1184	72	43	1	1	NUM
american_scientific_journal-1184	72	44	𝐾	𝐾	PROPN
american_scientific_journal-1184	72	45	1	1	NUM
american_scientific_journal-1184	72	46	𝑛	𝑛	DET
american_scientific_journal-1184	72	47	�	�	NOUN
american_scientific_journal-1184	72	48	𝜎𝑥2	𝜎𝑥2	NOUN
american_scientific_journal-1184	72	49	+	+	CCONJ
american_scientific_journal-1184	72	50	𝜎𝑦2	𝜎𝑦2	VERB
american_scientific_journal-1184	72	51	+	+	CCONJ
american_scientific_journal-1184	72	52	𝜎𝑧2	𝜎𝑧2	NOUN
american_scientific_journal-1184	72	53	−	−	NOUN
american_scientific_journal-1184	72	54	𝜎𝑥𝜎𝑦	𝜎𝑥𝜎𝑦	NOUN
american_scientific_journal-1184	72	55	−	−	PROPN
american_scientific_journal-1184	72	56	𝜎𝑦𝜎𝑧	𝜎𝑦𝜎𝑧	PROPN
american_scientific_journal-1184	72	57	−	−	PROPN
american_scientific_journal-1184	72	58	𝜎𝑧𝜎𝑥	𝜎𝑧𝜎𝑥	PROPN
american_scientific_journal-1184	72	59	�	�	PROPN
american_scientific_journal-1184	72	60	(	(	PUNCT
american_scientific_journal-1184	72	61	1−𝑛)/2𝑛	1−𝑛)/2𝑛	NUM
american_scientific_journal-1184	72	62	∗	∗	NOUN
american_scientific_journal-1184	72	63	�	�	PROPN
american_scientific_journal-1184	72	64	𝜎𝑥	𝜎𝑥	NOUN
american_scientific_journal-1184	72	65	−	−	PROPN
american_scientific_journal-1184	72	66	𝜎𝑦	𝜎𝑦	PRON
american_scientific_journal-1184	72	67	2	2	NUM
american_scientific_journal-1184	72	68	−	−	NOUN
american_scientific_journal-1184	72	69	𝜎𝑧	𝜎𝑧	PROPN
american_scientific_journal-1184	72	70	2	2	NUM
american_scientific_journal-1184	72	71	�	�	PROPN
american_scientific_journal-1184	72	72	(	(	PUNCT
american_scientific_journal-1184	72	73	19	19	NUM
american_scientific_journal-1184	72	74	)	)	PUNCT
american_scientific_journal-1184	72	75	𝛿𝑦	𝛿𝑦	NOUN
american_scientific_journal-1184	72	76	=	=	SYM
american_scientific_journal-1184	72	77	1	1	NUM
american_scientific_journal-1184	72	78	𝐾	𝐾	PROPN
american_scientific_journal-1184	72	79	1	1	NUM
american_scientific_journal-1184	72	80	𝑛	𝑛	DET
american_scientific_journal-1184	72	81	�	�	NOUN
american_scientific_journal-1184	72	82	𝜎𝑥2	𝜎𝑥2	NOUN
american_scientific_journal-1184	72	83	+	+	CCONJ
american_scientific_journal-1184	72	84	𝜎𝑦2	𝜎𝑦2	VERB
american_scientific_journal-1184	72	85	+	+	CCONJ
american_scientific_journal-1184	72	86	𝜎𝑧2	𝜎𝑧2	NOUN
american_scientific_journal-1184	72	87	−	−	NOUN
american_scientific_journal-1184	72	88	𝜎𝑥𝜎𝑦	𝜎𝑥𝜎𝑦	NOUN
american_scientific_journal-1184	72	89	−	−	PROPN
american_scientific_journal-1184	72	90	𝜎𝑦𝜎𝑧	𝜎𝑦𝜎𝑧	PROPN
american_scientific_journal-1184	72	91	−	−	PROPN
american_scientific_journal-1184	72	92	𝜎𝑧𝜎𝑥	𝜎𝑧𝜎𝑥	PROPN
american_scientific_journal-1184	72	93	�	�	PROPN
american_scientific_journal-1184	72	94	(	(	PUNCT
american_scientific_journal-1184	72	95	1−𝑛)/2𝑛	1−𝑛)/2𝑛	NUM
american_scientific_journal-1184	72	96	∗	∗	NOUN
american_scientific_journal-1184	72	97	�	�	NOUN
american_scientific_journal-1184	72	98	𝜎𝑦	𝜎𝑦	PRON
american_scientific_journal-1184	72	99	−	−	PROPN
american_scientific_journal-1184	72	100	𝜎𝑥	𝜎𝑥	NOUN
american_scientific_journal-1184	72	101	2	2	NUM
american_scientific_journal-1184	72	102	−	−	NOUN
american_scientific_journal-1184	72	103	𝜎𝑧	𝜎𝑧	PROPN
american_scientific_journal-1184	72	104	2	2	NUM
american_scientific_journal-1184	72	105	�	�	PROPN
american_scientific_journal-1184	72	106	(	(	PUNCT
american_scientific_journal-1184	72	107	20	20	NUM
american_scientific_journal-1184	72	108	)	)	PUNCT
american_scientific_journal-1184	72	109	𝛿𝑧	𝛿𝑧	ADV
american_scientific_journal-1184	72	110	=	=	SYM
american_scientific_journal-1184	72	111	1	1	NUM
american_scientific_journal-1184	72	112	𝐾	𝐾	PROPN
american_scientific_journal-1184	72	113	1	1	NUM
american_scientific_journal-1184	72	114	𝑛	𝑛	DET
american_scientific_journal-1184	72	115	�	�	NOUN
american_scientific_journal-1184	72	116	𝜎𝑥2	𝜎𝑥2	NOUN
american_scientific_journal-1184	72	117	+	+	CCONJ
american_scientific_journal-1184	72	118	𝜎𝑦2	𝜎𝑦2	VERB
american_scientific_journal-1184	72	119	+	+	CCONJ
american_scientific_journal-1184	72	120	𝜎𝑧2	𝜎𝑧2	NOUN
american_scientific_journal-1184	72	121	−	−	NOUN
american_scientific_journal-1184	72	122	𝜎𝑥𝜎𝑦	𝜎𝑥𝜎𝑦	NOUN
american_scientific_journal-1184	72	123	−	−	PROPN
american_scientific_journal-1184	72	124	𝜎𝑦𝜎𝑧	𝜎𝑦𝜎𝑧	PROPN
american_scientific_journal-1184	72	125	−	−	PROPN
american_scientific_journal-1184	72	126	𝜎𝑧𝜎𝑥	𝜎𝑧𝜎𝑥	PROPN
american_scientific_journal-1184	72	127	�	�	PROPN
american_scientific_journal-1184	72	128	(	(	PUNCT
american_scientific_journal-1184	72	129	1−𝑛)/2𝑛	1−𝑛)/2𝑛	NUM
american_scientific_journal-1184	72	130	∗	∗	NOUN
american_scientific_journal-1184	72	131	�	�	PROPN
american_scientific_journal-1184	72	132	𝜎𝑧	𝜎𝑧	ADP
american_scientific_journal-1184	72	133	−	−	PROPN
american_scientific_journal-1184	72	134	𝜎𝑥	𝜎𝑥	NOUN
american_scientific_journal-1184	72	135	2	2	NUM
american_scientific_journal-1184	72	136	−	−	NOUN
american_scientific_journal-1184	72	137	𝜎𝑦	𝜎𝑦	PROPN
american_scientific_journal-1184	72	138	2	2	NUM
american_scientific_journal-1184	72	139	�	�	PROPN
american_scientific_journal-1184	72	140	(	(	PUNCT
american_scientific_journal-1184	72	141	21	21	NUM
american_scientific_journal-1184	72	142	)	)	PUNCT
american_scientific_journal-1184	72	143	substituting	substitute	VERB
american_scientific_journal-1184	72	144	with	with	ADP
american_scientific_journal-1184	72	145	eqs	eqs	PROPN
american_scientific_journal-1184	72	146	.	.	PUNCT
american_scientific_journal-1184	73	1	(	(	PUNCT
american_scientific_journal-1184	73	2	4	4	NUM
american_scientific_journal-1184	73	3	)	)	PUNCT
american_scientific_journal-1184	73	4	and	and	CCONJ
american_scientific_journal-1184	73	5	(	(	PUNCT
american_scientific_journal-1184	73	6	5	5	NUM
american_scientific_journal-1184	73	7	)	)	PUNCT
american_scientific_journal-1184	73	8	in	in	ADP
american_scientific_journal-1184	73	9	eqs	eqs	PROPN
american_scientific_journal-1184	73	10	.	.	PUNCT
american_scientific_journal-1184	74	1	(	(	PUNCT
american_scientific_journal-1184	74	2	21)yields	21)yields	NUM
american_scientific_journal-1184	74	3	to	to	PART
american_scientific_journal-1184	74	4	;	;	PUNCT
american_scientific_journal-1184	74	5	𝜎𝑧	𝜎𝑧	X
american_scientific_journal-1184	74	6	=	=	SYM
american_scientific_journal-1184	74	7	𝜎𝑥	𝜎𝑥	PROPN
american_scientific_journal-1184	74	8	2	2	NUM
american_scientific_journal-1184	74	9	(	(	PUNCT
american_scientific_journal-1184	74	10	22	22	NUM
american_scientific_journal-1184	74	11	)	)	PUNCT
american_scientific_journal-1184	74	12	replacing	replace	VERB
american_scientific_journal-1184	74	13	the	the	DET
american_scientific_journal-1184	74	14	previous	previous	ADJ
american_scientific_journal-1184	74	15	value	value	NOUN
american_scientific_journal-1184	74	16	of	of	ADP
american_scientific_journal-1184	74	17	σzin	σzin	PROPN
american_scientific_journal-1184	74	18	eq	eq	PROPN
american_scientific_journal-1184	74	19	.	.	PUNCT
american_scientific_journal-1184	75	1	(	(	PUNCT
american_scientific_journal-1184	75	2	19	19	NUM
american_scientific_journal-1184	75	3	)	)	PUNCT
american_scientific_journal-1184	75	4	,	,	PUNCT
american_scientific_journal-1184	75	5	yields	yield	NOUN
american_scientific_journal-1184	75	6	to	to	ADP
american_scientific_journal-1184	75	7	the	the	DET
american_scientific_journal-1184	75	8	following	follow	VERB
american_scientific_journal-1184	75	9	𝜎𝑥	𝜎𝑥	X
american_scientific_journal-1184	75	10	=	=	SYM
american_scientific_journal-1184	75	11	𝐾	𝐾	PROPN
american_scientific_journal-1184	75	12	�	�	PROPN
american_scientific_journal-1184	75	13	34	34	NUM
american_scientific_journal-1184	75	14	�	�	PROPN
american_scientific_journal-1184	75	15	(	(	PUNCT
american_scientific_journal-1184	75	16	1+𝑛)/2	1+𝑛)/2	NOUN
american_scientific_journal-1184	75	17	𝛿𝑥	𝛿𝑥	NOUN
american_scientific_journal-1184	75	18	𝑛	𝑛	PROPN
american_scientific_journal-1184	75	19	(	(	PUNCT
american_scientific_journal-1184	75	20	23	23	NUM
american_scientific_journal-1184	75	21	)	)	PUNCT
american_scientific_journal-1184	75	22	since	since	SCONJ
american_scientific_journal-1184	75	23	the	the	DET
american_scientific_journal-1184	75	24	initial	initial	ADJ
american_scientific_journal-1184	75	25	assumption	assumption	NOUN
american_scientific_journal-1184	75	26	state	state	NOUN
american_scientific_journal-1184	75	27	that	that	SCONJ
american_scientific_journal-1184	75	28	the	the	DET
american_scientific_journal-1184	75	29	circumferential	circumferential	ADJ
american_scientific_journal-1184	75	30	strain	strain	NOUN
american_scientific_journal-1184	75	31	is	be	AUX
american_scientific_journal-1184	75	32	sufficiently	sufficiently	ADV
american_scientific_journal-1184	75	33	small	small	ADJ
american_scientific_journal-1184	75	34	so	so	SCONJ
american_scientific_journal-1184	75	35	that	that	SCONJ
american_scientific_journal-1184	75	36	the	the	DET
american_scientific_journal-1184	75	37	axial	axial	ADJ
american_scientific_journal-1184	75	38	strain	strain	NOUN
american_scientific_journal-1184	75	39	and	and	CCONJ
american_scientific_journal-1184	75	40	true	true	ADJ
american_scientific_journal-1184	75	41	strain	strain	NOUN
american_scientific_journal-1184	75	42	are	be	AUX
american_scientific_journal-1184	75	43	approximately	approximately	ADV
american_scientific_journal-1184	75	44	the	the	DET
american_scientific_journal-1184	75	45	same	same	ADJ
american_scientific_journal-1184	75	46	,	,	PUNCT
american_scientific_journal-1184	75	47	𝜀𝑥	𝜀𝑥	ADP
american_scientific_journal-1184	75	48	=	=	NOUN
american_scientific_journal-1184	75	49	𝑦	𝑦	SYM
american_scientific_journal-1184	75	50	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	75	51	=	=	SYM
american_scientific_journal-1184	75	52	𝛿𝑥	𝛿𝑥	PROPN
american_scientific_journal-1184	75	53	(	(	PUNCT
american_scientific_journal-1184	75	54	24	24	NUM
american_scientific_journal-1184	75	55	)	)	PUNCT
american_scientific_journal-1184	75	56	𝜎𝑥	𝜎𝑥	NOUN
american_scientific_journal-1184	75	57	=	=	SYM
american_scientific_journal-1184	75	58	𝐾	𝐾	PROPN
american_scientific_journal-1184	75	59	�	�	PROPN
american_scientific_journal-1184	75	60	34	34	NUM
american_scientific_journal-1184	75	61	�	�	PROPN
american_scientific_journal-1184	75	62	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	75	63	2	2	NUM
american_scientific_journal-1184	75	64	�	�	PROPN
american_scientific_journal-1184	75	65	𝑦	𝑦	NOUN
american_scientific_journal-1184	75	66	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	75	67	�	�	PROPN
american_scientific_journal-1184	75	68	𝑛	𝑛	PROPN
american_scientific_journal-1184	75	69	(	(	PUNCT
american_scientific_journal-1184	75	70	25	25	NUM
american_scientific_journal-1184	75	71	)	)	PUNCT
american_scientific_journal-1184	75	72	then	then	ADV
american_scientific_journal-1184	75	73	,	,	PUNCT
american_scientific_journal-1184	75	74	the	the	DET
american_scientific_journal-1184	75	75	maximum	maximum	ADJ
american_scientific_journal-1184	75	76	bending	bend	VERB
american_scientific_journal-1184	75	77	moment	moment	NOUN
american_scientific_journal-1184	75	78	for	for	ADP
american_scientific_journal-1184	75	79	i	i	NOUN
american_scientific_journal-1184	75	80	-	-	PUNCT
american_scientific_journal-1184	75	81	section	section	NOUN
american_scientific_journal-1184	75	82	could	could	AUX
american_scientific_journal-1184	75	83	be	be	AUX
american_scientific_journal-1184	75	84	introduced	introduce	VERB
american_scientific_journal-1184	75	85	as	as	ADP
american_scientific_journal-1184	75	86	𝑀𝑚𝑎𝑥	𝑀𝑚𝑎𝑥	PROPN
american_scientific_journal-1184	75	87	=	=	SYM
american_scientific_journal-1184	75	88	2∫	2∫	NUM
american_scientific_journal-1184	75	89	𝜎𝑥	𝜎𝑥	NOUN
american_scientific_journal-1184	75	90	𝐻	𝐻	PROPN
american_scientific_journal-1184	75	91	2	2	NUM
american_scientific_journal-1184	75	92	0	0	NUM
american_scientific_journal-1184	75	93	𝑑𝐴	𝑑𝐴	NOUN
american_scientific_journal-1184	75	94	(	(	PUNCT
american_scientific_journal-1184	75	95	26	26	NUM
american_scientific_journal-1184	75	96	)	)	PUNCT
american_scientific_journal-1184	75	97	the	the	DET
american_scientific_journal-1184	75	98	present	present	ADJ
american_scientific_journal-1184	75	99	analysis	analysis	NOUN
american_scientific_journal-1184	75	100	went	go	VERB
american_scientific_journal-1184	75	101	through	through	ADP
american_scientific_journal-1184	75	102	two	two	NUM
american_scientific_journal-1184	75	103	cases	case	NOUN
american_scientific_journal-1184	75	104	according	accord	VERB
american_scientific_journal-1184	75	105	to	to	ADP
american_scientific_journal-1184	75	106	the	the	DET
american_scientific_journal-1184	75	107	position	position	NOUN
american_scientific_journal-1184	75	108	of	of	ADP
american_scientific_journal-1184	75	109	the	the	DET
american_scientific_journal-1184	75	110	yield	yield	NOUN
american_scientific_journal-1184	75	111	point	point	NOUN
american_scientific_journal-1184	75	112	(	(	PUNCT
american_scientific_journal-1184	75	113	h	h	NOUN
american_scientific_journal-1184	75	114	*	*	NOUN
american_scientific_journal-1184	75	115	)	)	PUNCT
american_scientific_journal-1184	75	116	which	which	PRON
american_scientific_journal-1184	75	117	is	be	AUX
american_scientific_journal-1184	75	118	the	the	DET
american_scientific_journal-1184	75	119	distance	distance	NOUN
american_scientific_journal-1184	75	120	from	from	ADP
american_scientific_journal-1184	75	121	the	the	DET
american_scientific_journal-1184	75	122	neutral	neutral	ADJ
american_scientific_journal-1184	75	123	surface	surface	NOUN
american_scientific_journal-1184	75	124	up	up	ADP
american_scientific_journal-1184	75	125	to	to	ADP
american_scientific_journal-1184	75	126	the	the	DET
american_scientific_journal-1184	75	127	layer	layer	NOUN
american_scientific_journal-1184	75	128	at	at	ADP
american_scientific_journal-1184	75	129	which	which	PRON
american_scientific_journal-1184	75	130	yielding	yield	VERB
american_scientific_journal-1184	75	131	occurs	occur	VERB
american_scientific_journal-1184	75	132	.	.	PUNCT
american_scientific_journal-1184	76	1	for	for	ADP
american_scientific_journal-1184	76	2	that	that	DET
american_scientific_journal-1184	76	3	reason	reason	NOUN
american_scientific_journal-1184	76	4	,	,	PUNCT
american_scientific_journal-1184	76	5	the	the	DET
american_scientific_journal-1184	76	6	stress	stress	NOUN
american_scientific_journal-1184	76	7	and	and	CCONJ
american_scientific_journal-1184	76	8	strain	strain	VERB
american_scientific_journal-1184	76	9	distributions	distribution	NOUN
american_scientific_journal-1184	76	10	across	across	ADP
american_scientific_journal-1184	76	11	the	the	DET
american_scientific_journal-1184	76	12	i	i	PROPN
american_scientific_journal-1184	76	13	-	-	PUNCT
american_scientific_journal-1184	76	14	section	section	NOUN
american_scientific_journal-1184	76	15	beam	beam	NOUN
american_scientific_journal-1184	76	16	loaded	load	VERB
american_scientific_journal-1184	76	17	by	by	ADP
american_scientific_journal-1184	76	18	bending	bend	VERB
american_scientific_journal-1184	76	19	moment	moment	NOUN
american_scientific_journal-1184	76	20	m	m	PROPN
american_scientific_journal-1184	76	21	will	will	AUX
american_scientific_journal-1184	76	22	be	be	AUX
american_scientific_journal-1184	76	23	derived	derive	VERB
american_scientific_journal-1184	76	24	for	for	ADP
american_scientific_journal-1184	76	25	the	the	DET
american_scientific_journal-1184	76	26	following	follow	VERB
american_scientific_journal-1184	76	27	two	two	NUM
american_scientific_journal-1184	76	28	cases	case	NOUN
american_scientific_journal-1184	76	29	192	192	NUM
american_scientific_journal-1184	76	30	american	american	ADJ
american_scientific_journal-1184	76	31	scientific	scientific	ADJ
american_scientific_journal-1184	76	32	research	research	NOUN
american_scientific_journal-1184	76	33	journal	journal	NOUN
american_scientific_journal-1184	76	34	for	for	ADP
american_scientific_journal-1184	76	35	engineering	engineering	NOUN
american_scientific_journal-1184	76	36	,	,	PUNCT
american_scientific_journal-1184	76	37	technology	technology	NOUN
american_scientific_journal-1184	76	38	,	,	PUNCT
american_scientific_journal-1184	76	39	and	and	CCONJ
american_scientific_journal-1184	76	40	sciences	science	NOUN
american_scientific_journal-1184	76	41	(	(	PUNCT
american_scientific_journal-1184	76	42	asrjets	asrjet	NOUN
american_scientific_journal-1184	76	43	)	)	PUNCT
american_scientific_journal-1184	76	44	(	(	PUNCT
american_scientific_journal-1184	76	45	2015	2015	NUM
american_scientific_journal-1184	76	46	)	)	PUNCT
american_scientific_journal-1184	76	47	volume	volume	NOUN
american_scientific_journal-1184	76	48	14	14	NUM
american_scientific_journal-1184	76	49	,	,	PUNCT
american_scientific_journal-1184	76	50	no	no	DET
american_scientific_journal-1184	76	51	3	3	NUM
american_scientific_journal-1184	76	52	,	,	PUNCT
american_scientific_journal-1184	76	53	pp	pp	ADV
american_scientific_journal-1184	76	54	187	187	NUM
american_scientific_journal-1184	76	55	-	-	SYM
american_scientific_journal-1184	76	56	201	201	NUM
american_scientific_journal-1184	76	57	according	accord	VERB
american_scientific_journal-1184	76	58	to	to	ADP
american_scientific_journal-1184	76	59	the	the	DET
american_scientific_journal-1184	76	60	position	position	NOUN
american_scientific_journal-1184	76	61	of	of	ADP
american_scientific_journal-1184	76	62	yielding	yield	VERB
american_scientific_journal-1184	76	63	along	along	ADP
american_scientific_journal-1184	76	64	the	the	DET
american_scientific_journal-1184	76	65	beam	beam	NOUN
american_scientific_journal-1184	76	66	height	height	NOUN
american_scientific_journal-1184	76	67	:	:	PUNCT
american_scientific_journal-1184	76	68	case	case	NOUN
american_scientific_journal-1184	76	69	(	(	PUNCT
american_scientific_journal-1184	76	70	1	1	NUM
american_scientific_journal-1184	76	71	):	):	PUNCT
american_scientific_journal-1184	76	72	when	when	SCONJ
american_scientific_journal-1184	76	73	yielding	yield	VERB
american_scientific_journal-1184	76	74	occur	occur	NOUN
american_scientific_journal-1184	76	75	in	in	ADP
american_scientific_journal-1184	76	76	the	the	DET
american_scientific_journal-1184	76	77	flange	flange	NOUN
american_scientific_journal-1184	76	78	height	height	NOUN
american_scientific_journal-1184	76	79	case	case	NOUN
american_scientific_journal-1184	76	80	(	(	PUNCT
american_scientific_journal-1184	76	81	2	2	NUM
american_scientific_journal-1184	76	82	):	):	PUNCT
american_scientific_journal-1184	76	83	when	when	SCONJ
american_scientific_journal-1184	76	84	yielding	yield	VERB
american_scientific_journal-1184	76	85	occur	occur	NOUN
american_scientific_journal-1184	76	86	in	in	ADP
american_scientific_journal-1184	76	87	the	the	DET
american_scientific_journal-1184	76	88	web	web	NOUN
american_scientific_journal-1184	76	89	height	height	NOUN
american_scientific_journal-1184	76	90	2.1	2.1	NUM
american_scientific_journal-1184	76	91	.	.	PUNCT
american_scientific_journal-1184	77	1	case	case	NOUN
american_scientific_journal-1184	77	2	:	:	PUNCT
american_scientific_journal-1184	77	3	1	1	NUM
american_scientific_journal-1184	77	4	ℎ	ℎ	SYM
american_scientific_journal-1184	77	5	2	2	NUM
american_scientific_journal-1184	77	6	≤	≤	NOUN
american_scientific_journal-1184	77	7	ℎ∗	ℎ∗	NOUN
american_scientific_journal-1184	77	8	≤	≤	NOUN
american_scientific_journal-1184	77	9	𝐻	𝐻	PROPN
american_scientific_journal-1184	77	10	2	2	NUM
american_scientific_journal-1184	77	11	the	the	DET
american_scientific_journal-1184	77	12	first	first	ADJ
american_scientific_journal-1184	77	13	case	case	NOUN
american_scientific_journal-1184	77	14	is	be	AUX
american_scientific_journal-1184	77	15	when	when	SCONJ
american_scientific_journal-1184	77	16	yielding	yield	VERB
american_scientific_journal-1184	77	17	occurs	occur	VERB
american_scientific_journal-1184	77	18	in	in	ADP
american_scientific_journal-1184	77	19	the	the	DET
american_scientific_journal-1184	77	20	flange	flange	NOUN
american_scientific_journal-1184	77	21	i.e.	i.e.	X
american_scientific_journal-1184	77	22	h	h	NOUN
american_scientific_journal-1184	77	23	2	2	NUM
american_scientific_journal-1184	77	24	≤	≤	PROPN
american_scientific_journal-1184	77	25	h∗	h∗	PROPN
american_scientific_journal-1184	77	26	≤	≤	PROPN
american_scientific_journal-1184	77	27	h	h	NOUN
american_scientific_journal-1184	77	28	2	2	NUM
american_scientific_journal-1184	77	29	,	,	PUNCT
american_scientific_journal-1184	77	30	thus	thus	ADV
american_scientific_journal-1184	77	31	,	,	PUNCT
american_scientific_journal-1184	77	32	for	for	ADP
american_scientific_journal-1184	77	33	this	this	DET
american_scientific_journal-1184	77	34	case	case	NOUN
american_scientific_journal-1184	77	35	,	,	PUNCT
american_scientific_journal-1184	77	36	eq.(26	eq.(26	ADV
american_scientific_journal-1184	77	37	)	)	PUNCT
american_scientific_journal-1184	77	38	could	could	AUX
american_scientific_journal-1184	77	39	rewritten	rewrite	VERB
american_scientific_journal-1184	77	40	as	as	SCONJ
american_scientific_journal-1184	77	41	follows	follow	VERB
american_scientific_journal-1184	77	42	:	:	PUNCT
american_scientific_journal-1184	77	43	𝑀𝑚𝑎𝑥	𝑀𝑚𝑎𝑥	PROPN
american_scientific_journal-1184	77	44	=	=	SYM
american_scientific_journal-1184	77	45	2	2	NUM
american_scientific_journal-1184	77	46	�	�	PROPN
american_scientific_journal-1184	77	47	∫	∫	PROPN
american_scientific_journal-1184	77	48	𝜎𝑥𝑒𝑙𝑎𝑠𝑡𝑖𝑐(𝐵	𝜎𝑥𝑒𝑙𝑎𝑠𝑡𝑖𝑐(𝐵	PROPN
american_scientific_journal-1184	78	1	−	−	PROPN
american_scientific_journal-1184	78	2	𝑏)𝑦𝑑𝑦	𝑏)𝑦𝑑𝑦	PROPN
american_scientific_journal-1184	78	3	ℎ	ℎ	ADP
american_scientific_journal-1184	78	4	2	2	NUM
american_scientific_journal-1184	78	5	0	0	NUM
american_scientific_journal-1184	79	1	+	+	NUM
american_scientific_journal-1184	79	2	∫	∫	PROPN
american_scientific_journal-1184	79	3	𝜎𝑥𝑒𝑙𝑎𝑠𝑡𝑖𝑐	𝜎𝑥𝑒𝑙𝑎𝑠𝑡𝑖𝑐	NOUN
american_scientific_journal-1184	79	4	ℎ∗	ℎ∗	VERB
american_scientific_journal-1184	79	5	ℎ	ℎ	NOUN
american_scientific_journal-1184	79	6	2	2	X
american_scientific_journal-1184	79	7	𝐵𝑦𝑑𝑦	𝐵𝑦𝑑𝑦	PROPN
american_scientific_journal-1184	79	8	+	+	NUM
american_scientific_journal-1184	79	9	∫	∫	NOUN
american_scientific_journal-1184	79	10	𝜎𝑥𝑝𝑙𝑎𝑠𝑡𝑖𝑐	𝜎𝑥𝑝𝑙𝑎𝑠𝑡𝑖𝑐	VERB
american_scientific_journal-1184	79	11	𝐻	𝐻	PROPN
american_scientific_journal-1184	79	12	2	2	NUM
american_scientific_journal-1184	79	13	ℎ∗	ℎ∗	PROPN
american_scientific_journal-1184	79	14	𝐵𝑦𝑑𝑦	𝐵𝑦𝑑𝑦	PROPN
american_scientific_journal-1184	79	15	�	�	PROPN
american_scientific_journal-1184	79	16	(	(	PUNCT
american_scientific_journal-1184	79	17	27	27	NUM
american_scientific_journal-1184	79	18	)	)	PUNCT
american_scientific_journal-1184	79	19	replacing	replace	VERB
american_scientific_journal-1184	79	20	the	the	DET
american_scientific_journal-1184	79	21	value	value	NOUN
american_scientific_journal-1184	79	22	of	of	ADP
american_scientific_journal-1184	79	23	σx	σx	NOUN
american_scientific_journal-1184	79	24	in	in	ADP
american_scientific_journal-1184	79	25	the	the	DET
american_scientific_journal-1184	79	26	previous	previous	ADJ
american_scientific_journal-1184	79	27	equation	equation	NOUN
american_scientific_journal-1184	79	28	with	with	ADP
american_scientific_journal-1184	79	29	the	the	DET
american_scientific_journal-1184	79	30	equivalent	equivalent	ADJ
american_scientific_journal-1184	79	31	values	value	NOUN
american_scientific_journal-1184	79	32	given	give	VERB
american_scientific_journal-1184	79	33	in	in	ADP
american_scientific_journal-1184	79	34	eqs	eqs	PROPN
american_scientific_journal-1184	79	35	.	.	PUNCT
american_scientific_journal-1184	80	1	(	(	PUNCT
american_scientific_journal-1184	80	2	18	18	NUM
american_scientific_journal-1184	80	3	)	)	PUNCT
american_scientific_journal-1184	80	4	and	and	CCONJ
american_scientific_journal-1184	80	5	(	(	PUNCT
american_scientific_journal-1184	80	6	25	25	NUM
american_scientific_journal-1184	80	7	)	)	PUNCT
american_scientific_journal-1184	80	8	𝑀𝑚𝑎𝑥	𝑀𝑚𝑎𝑥	NOUN
american_scientific_journal-1184	80	9	=	=	SYM
american_scientific_journal-1184	80	10	2	2	NUM
american_scientific_journal-1184	80	11	�	�	PROPN
american_scientific_journal-1184	80	12	∫	∫	PROPN
american_scientific_journal-1184	80	13	𝐸	𝐸	PROPN
american_scientific_journal-1184	80	14	(	(	PUNCT
american_scientific_journal-1184	80	15	1−𝒱𝒱2	1−𝒱𝒱2	PROPN
american_scientific_journal-1184	80	16	)	)	PUNCT
american_scientific_journal-1184	80	17	∗	∗	NOUN
american_scientific_journal-1184	80	18	𝑦2	𝑦2	PROPN
american_scientific_journal-1184	81	1	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	81	2	(	(	PUNCT
american_scientific_journal-1184	81	3	𝐵	𝐵	NOUN
american_scientific_journal-1184	81	4	−	−	PROPN
american_scientific_journal-1184	81	5	𝑏)𝑑𝑦	𝑏)𝑑𝑦	PROPN
american_scientific_journal-1184	81	6	ℎ	ℎ	ADP
american_scientific_journal-1184	81	7	2	2	NUM
american_scientific_journal-1184	81	8	0	0	NUM
american_scientific_journal-1184	82	1	+	+	CCONJ
american_scientific_journal-1184	82	2	∫	∫	PROPN
american_scientific_journal-1184	82	3	𝐸	𝐸	PROPN
american_scientific_journal-1184	82	4	(	(	PUNCT
american_scientific_journal-1184	82	5	1−𝒱𝒱2	1−𝒱𝒱2	PROPN
american_scientific_journal-1184	82	6	)	)	PUNCT
american_scientific_journal-1184	82	7	∗	∗	NOUN
american_scientific_journal-1184	82	8	𝑦2	𝑦2	PROPN
american_scientific_journal-1184	82	9	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	82	10	ℎ∗	ℎ∗	PROPN
american_scientific_journal-1184	82	11	ℎ	ℎ	NOUN
american_scientific_journal-1184	82	12	2	2	NUM
american_scientific_journal-1184	82	13	𝐵𝑑𝑦	𝐵𝑑𝑦	PROPN
american_scientific_journal-1184	83	1	+	+	NUM
american_scientific_journal-1184	84	1	∫	∫	PROPN
american_scientific_journal-1184	84	2	𝐾	𝐾	PROPN
american_scientific_journal-1184	84	3	�	�	PROPN
american_scientific_journal-1184	84	4	34	34	NUM
american_scientific_journal-1184	84	5	�	�	PROPN
american_scientific_journal-1184	84	6	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	84	7	2	2	NUM
american_scientific_journal-1184	84	8	𝑦	𝑦	NOUN
american_scientific_journal-1184	84	9	ron	ron	PROPN
american_scientific_journal-1184	84	10	𝑛+1𝐻	𝑛+1𝐻	NUM
american_scientific_journal-1184	84	11	2	2	NUM
american_scientific_journal-1184	84	12	ℎ∗	ℎ∗	PROPN
american_scientific_journal-1184	84	13	𝐵𝑑𝑦	𝐵𝑑𝑦	PROPN
american_scientific_journal-1184	84	14	�	�	PROPN
american_scientific_journal-1184	84	15	(	(	PUNCT
american_scientific_journal-1184	84	16	28	28	NUM
american_scientific_journal-1184	84	17	)	)	PUNCT
american_scientific_journal-1184	84	18	where	where	SCONJ
american_scientific_journal-1184	84	19	,	,	PUNCT
american_scientific_journal-1184	84	20	ℎ∗	ℎ∗	PROPN
american_scientific_journal-1184	84	21	=	=	PUNCT
american_scientific_journal-1184	84	22	𝑅𝑅𝑜	𝑅𝑅𝑜	VERB
american_scientific_journal-1184	84	23	�	�	PROPN
american_scientific_journal-1184	84	24	𝐾	𝐾	PROPN
american_scientific_journal-1184	84	25	𝐸	𝐸	PROPN
american_scientific_journal-1184	84	26	�	�	PROPN
american_scientific_journal-1184	84	27	1	1	NUM
american_scientific_journal-1184	84	28	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	84	29	(	(	PUNCT
american_scientific_journal-1184	84	30	1	1	NUM
american_scientific_journal-1184	84	31	+	+	CCONJ
american_scientific_journal-1184	84	32	𝒱𝒱	𝒱𝒱	PROPN
american_scientific_journal-1184	84	33	)	)	PUNCT
american_scientific_journal-1184	84	34	(	(	PUNCT
american_scientific_journal-1184	84	35	29	29	NUM
american_scientific_journal-1184	84	36	)	)	PUNCT
american_scientific_journal-1184	84	37	thus	thus	ADV
american_scientific_journal-1184	84	38	,	,	PUNCT
american_scientific_journal-1184	84	39	𝑀𝑚𝑎𝑥	𝑀𝑚𝑎𝑥	PROPN
american_scientific_journal-1184	84	40	=	=	SYM
american_scientific_journal-1184	84	41	2	2	NUM
american_scientific_journal-1184	84	42	�	�	PROPN
american_scientific_journal-1184	84	43	𝐸𝐵𝑅𝑜2	𝐸𝐵𝑅𝑜2	PROPN
american_scientific_journal-1184	84	44	3(1−𝒱𝒱2	3(1−𝒱𝒱2	NUM
american_scientific_journal-1184	84	45	)	)	PUNCT
american_scientific_journal-1184	84	46	�	�	PROPN
american_scientific_journal-1184	84	47	𝐾	𝐾	PROPN
american_scientific_journal-1184	84	48	𝐸	𝐸	PROPN
american_scientific_journal-1184	84	49	�	�	PROPN
american_scientific_journal-1184	84	50	3	3	NUM
american_scientific_journal-1184	84	51	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	84	52	(	(	PUNCT
american_scientific_journal-1184	84	53	1	1	NUM
american_scientific_journal-1184	84	54	+	+	SYM
american_scientific_journal-1184	84	55	𝒱𝒱)3	𝒱𝒱)3	NUM
american_scientific_journal-1184	84	56	−	−	PROPN
american_scientific_journal-1184	84	57	𝐸𝑏	𝐸𝑏	PROPN
american_scientific_journal-1184	84	58	3(1−𝒱𝒱2)𝑅𝑜	3(1−𝒱𝒱2)𝑅𝑜	NOUN
american_scientific_journal-1184	84	59	�	�	NOUN
american_scientific_journal-1184	84	60	ℎ	ℎ	ADP
american_scientific_journal-1184	84	61	2	2	NUM
american_scientific_journal-1184	84	62	�	�	PROPN
american_scientific_journal-1184	84	63	3	3	NUM
american_scientific_journal-1184	84	64	+	+	CCONJ
american_scientific_journal-1184	84	65	𝐾	𝐾	PROPN
american_scientific_journal-1184	84	66	(	(	PUNCT
american_scientific_journal-1184	84	67	3	3	NUM
american_scientific_journal-1184	84	68	4)⁄	4)⁄	NUM
american_scientific_journal-1184	84	69	(	(	PUNCT
american_scientific_journal-1184	84	70	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	84	71	)	)	PUNCT
american_scientific_journal-1184	84	72	2⁄	2⁄	NUM
american_scientific_journal-1184	84	73	(	(	PUNCT
american_scientific_journal-1184	84	74	𝑛+2	𝑛+2	NUM
american_scientific_journal-1184	84	75	)	)	PUNCT
american_scientific_journal-1184	84	76	�	�	PROPN
american_scientific_journal-1184	84	77	1	1	NUM
american_scientific_journal-1184	84	78	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	84	79	�	�	NOUN
american_scientific_journal-1184	84	80	�	�	NOUN
american_scientific_journal-1184	84	81	𝐻	𝐻	PROPN
american_scientific_journal-1184	84	82	2	2	NUM
american_scientific_journal-1184	84	83	�	�	NOUN
american_scientific_journal-1184	84	84	𝑛+2	𝑛+2	PROPN
american_scientific_journal-1184	84	85	−	−	PROPN
american_scientific_journal-1184	84	86	𝑅𝑅𝑜2	𝑅𝑅𝑜2	PART
american_scientific_journal-1184	84	87	�	�	PROPN
american_scientific_journal-1184	84	88	𝐾	𝐾	PROPN
american_scientific_journal-1184	84	89	𝐸	𝐸	PROPN
american_scientific_journal-1184	84	90	�	�	PROPN
american_scientific_journal-1184	84	91	𝑛+2	𝑛+2	PROPN
american_scientific_journal-1184	84	92	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	84	93	(	(	PUNCT
american_scientific_journal-1184	84	94	1	1	NUM
american_scientific_journal-1184	84	95	+	+	CCONJ
american_scientific_journal-1184	84	96	𝒱𝒱)𝑛+2	𝒱𝒱)𝑛+2	NUM
american_scientific_journal-1184	84	97	�	�	PROPN
american_scientific_journal-1184	84	98	(	(	PUNCT
american_scientific_journal-1184	84	99	30	30	NUM
american_scientific_journal-1184	84	100	)	)	PUNCT
american_scientific_journal-1184	84	101	while	while	SCONJ
american_scientific_journal-1184	84	102	the	the	DET
american_scientific_journal-1184	84	103	elastic	elastic	ADJ
american_scientific_journal-1184	84	104	bending	bending	NOUN
american_scientific_journal-1184	84	105	moment	moment	NOUN
american_scientific_journal-1184	84	106	could	could	AUX
american_scientific_journal-1184	84	107	be	be	AUX
american_scientific_journal-1184	84	108	expressed	express	VERB
american_scientific_journal-1184	84	109	as	as	ADP
american_scientific_journal-1184	84	110	;	;	PUNCT
american_scientific_journal-1184	84	111	𝑀𝐸	𝑀𝐸	PROPN
american_scientific_journal-1184	84	112	=	=	SYM
american_scientific_journal-1184	84	113	𝜎𝑥.𝐼𝑁.𝐴	𝜎𝑥.𝐼𝑁.𝐴	PROPN
american_scientific_journal-1184	84	114	𝑦	𝑦	SYM
american_scientific_journal-1184	84	115	(	(	PUNCT
american_scientific_journal-1184	84	116	31	31	NUM
american_scientific_journal-1184	84	117	)	)	PUNCT
american_scientific_journal-1184	84	118	where	where	SCONJ
american_scientific_journal-1184	84	119	in.a	in.a	PROPN
american_scientific_journal-1184	84	120	is	be	AUX
american_scientific_journal-1184	84	121	the	the	DET
american_scientific_journal-1184	84	122	moment	moment	NOUN
american_scientific_journal-1184	84	123	of	of	ADP
american_scientific_journal-1184	84	124	inertia	inertia	NOUN
american_scientific_journal-1184	84	125	for	for	ADP
american_scientific_journal-1184	84	126	the	the	DET
american_scientific_journal-1184	84	127	i	i	PROPN
american_scientific_journal-1184	84	128	-	-	PUNCT
american_scientific_journal-1184	84	129	section	section	NOUN
american_scientific_journal-1184	84	130	about	about	ADP
american_scientific_journal-1184	84	131	the	the	DET
american_scientific_journal-1184	84	132	neutral	neutral	ADJ
american_scientific_journal-1184	84	133	axis	axis	NOUN
american_scientific_journal-1184	84	134	,	,	PUNCT
american_scientific_journal-1184	84	135	which	which	PRON
american_scientific_journal-1184	84	136	is	be	AUX
american_scientific_journal-1184	84	137	equal	equal	ADJ
american_scientific_journal-1184	84	138	to	to	ADP
american_scientific_journal-1184	84	139	𝐼𝑁.𝐴	𝐼𝑁.𝐴	VERB
american_scientific_journal-1184	84	140	=	=	SYM
american_scientific_journal-1184	84	141	𝐵𝐻3	𝐵𝐻3	PROPN
american_scientific_journal-1184	84	142	12	12	NUM
american_scientific_journal-1184	84	143	−	−	NOUN
american_scientific_journal-1184	84	144	𝑏ℎ3	𝑏ℎ3	PROPN
american_scientific_journal-1184	84	145	12	12	NUM
american_scientific_journal-1184	84	146	(	(	PUNCT
american_scientific_journal-1184	84	147	32	32	NUM
american_scientific_journal-1184	84	148	)	)	PUNCT
american_scientific_journal-1184	84	149	therefore	therefore	ADV
american_scientific_journal-1184	84	150	eq	eq	ADJ
american_scientific_journal-1184	84	151	.	.	PUNCT
american_scientific_journal-1184	84	152	(	(	PUNCT
american_scientific_journal-1184	84	153	3	3	X
american_scientific_journal-1184	84	154	)	)	PUNCT
american_scientific_journal-1184	84	155	could	could	AUX
american_scientific_journal-1184	84	156	be	be	AUX
american_scientific_journal-1184	84	157	rewritten	rewrite	VERB
american_scientific_journal-1184	84	158	as	as	ADP
american_scientific_journal-1184	84	159	𝑀𝐸	𝑀𝐸	PROPN
american_scientific_journal-1184	84	160	=	=	SYM
american_scientific_journal-1184	84	161	𝐸	𝐸	PROPN
american_scientific_journal-1184	84	162	(	(	PUNCT
american_scientific_journal-1184	84	163	1−𝒱𝒱2).𝑅𝑜	1−𝒱𝒱2).𝑅𝑜	NUM
american_scientific_journal-1184	84	164	�	�	PROPN
american_scientific_journal-1184	84	165	1	1	NUM
american_scientific_journal-1184	84	166	12	12	NUM
american_scientific_journal-1184	84	167	�	�	PROPN
american_scientific_journal-1184	84	168	(	(	PUNCT
american_scientific_journal-1184	84	169	𝐵𝐻3	𝐵𝐻3	PROPN
american_scientific_journal-1184	84	170	−	−	PROPN
american_scientific_journal-1184	84	171	𝑏ℎ3	𝑏ℎ3	PROPN
american_scientific_journal-1184	84	172	)	)	PUNCT
american_scientific_journal-1184	84	173	(	(	PUNCT
american_scientific_journal-1184	84	174	33	33	NUM
american_scientific_journal-1184	84	175	)	)	PUNCT
american_scientific_journal-1184	84	176	193	193	NUM
american_scientific_journal-1184	84	177	american	american	ADJ
american_scientific_journal-1184	84	178	scientific	scientific	ADJ
american_scientific_journal-1184	84	179	research	research	NOUN
american_scientific_journal-1184	84	180	journal	journal	NOUN
american_scientific_journal-1184	84	181	for	for	ADP
american_scientific_journal-1184	84	182	engineering	engineering	NOUN
american_scientific_journal-1184	84	183	,	,	PUNCT
american_scientific_journal-1184	84	184	technology	technology	NOUN
american_scientific_journal-1184	84	185	,	,	PUNCT
american_scientific_journal-1184	84	186	and	and	CCONJ
american_scientific_journal-1184	84	187	sciences	science	NOUN
american_scientific_journal-1184	84	188	(	(	PUNCT
american_scientific_journal-1184	84	189	asrjets	asrjet	NOUN
american_scientific_journal-1184	84	190	)	)	PUNCT
american_scientific_journal-1184	84	191	(	(	PUNCT
american_scientific_journal-1184	84	192	2015	2015	NUM
american_scientific_journal-1184	84	193	)	)	PUNCT
american_scientific_journal-1184	84	194	volume	volume	NOUN
american_scientific_journal-1184	84	195	14	14	NUM
american_scientific_journal-1184	84	196	,	,	PUNCT
american_scientific_journal-1184	84	197	no	no	DET
american_scientific_journal-1184	84	198	3	3	NUM
american_scientific_journal-1184	84	199	,	,	PUNCT
american_scientific_journal-1184	84	200	pp	pp	ADV
american_scientific_journal-1184	84	201	187	187	NUM
american_scientific_journal-1184	84	202	-	-	SYM
american_scientific_journal-1184	84	203	201	201	NUM
american_scientific_journal-1184	84	204	then	then	ADV
american_scientific_journal-1184	84	205	,	,	PUNCT
american_scientific_journal-1184	84	206	𝜕𝑀𝐸	𝜕𝑀𝐸	ADP
american_scientific_journal-1184	84	207	𝜕(1	𝜕(1	ADV
american_scientific_journal-1184	84	208	𝑅)⁄	𝑅)⁄	ADJ
american_scientific_journal-1184	84	209	=	=	PUNCT
american_scientific_journal-1184	84	210	𝐸	𝐸	PROPN
american_scientific_journal-1184	84	211	(	(	PUNCT
american_scientific_journal-1184	84	212	1−𝒱𝒱2	1−𝒱𝒱2	PROPN
american_scientific_journal-1184	84	213	)	)	PUNCT
american_scientific_journal-1184	84	214	�	�	PROPN
american_scientific_journal-1184	84	215	1	1	NUM
american_scientific_journal-1184	84	216	12	12	NUM
american_scientific_journal-1184	84	217	�	�	PROPN
american_scientific_journal-1184	84	218	(	(	PUNCT
american_scientific_journal-1184	84	219	𝐵𝐻3	𝐵𝐻3	PROPN
american_scientific_journal-1184	84	220	−	−	PROPN
american_scientific_journal-1184	84	221	𝑏ℎ3	𝑏ℎ3	PROPN
american_scientific_journal-1184	84	222	)	)	PUNCT
american_scientific_journal-1184	84	223	(	(	PUNCT
american_scientific_journal-1184	84	224	34	34	NUM
american_scientific_journal-1184	84	225	)	)	PUNCT
american_scientific_journal-1184	84	226	referring	refer	VERB
american_scientific_journal-1184	84	227	to	to	ADP
american_scientific_journal-1184	84	228	eq	eq	NOUN
american_scientific_journal-1184	84	229	.	.	PROPN
american_scientific_journal-1184	84	230	2	2	NUM
american_scientific_journal-1184	84	231	which	which	PRON
american_scientific_journal-1184	84	232	could	could	AUX
american_scientific_journal-1184	84	233	be	be	AUX
american_scientific_journal-1184	84	234	rewritten	rewrite	VERB
american_scientific_journal-1184	84	235	as	as	ADP
american_scientific_journal-1184	84	236	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	84	237	𝑅𝑓	𝑅𝑓	PROPN
american_scientific_journal-1184	84	238	=	=	SYM
american_scientific_journal-1184	84	239	1−	1−	NUM
american_scientific_journal-1184	84	240	𝑀𝑚𝑎𝑥	𝑀𝑚𝑎𝑥	PROPN
american_scientific_journal-1184	84	241	𝜕𝑀𝐸	𝜕𝑀𝐸	VERB
american_scientific_journal-1184	84	242	𝜕(1	𝜕(1	ADV
american_scientific_journal-1184	84	243	𝑅)⁄	𝑅)⁄	ADJ
american_scientific_journal-1184	84	244	∗	∗	NOUN
american_scientific_journal-1184	84	245	𝑅𝑅𝑜	𝑅𝑅𝑜	NOUN
american_scientific_journal-1184	84	246	(	(	PUNCT
american_scientific_journal-1184	84	247	35	35	NUM
american_scientific_journal-1184	84	248	)	)	PUNCT
american_scientific_journal-1184	84	249	replacing	replace	VERB
american_scientific_journal-1184	84	250	in	in	ADP
american_scientific_journal-1184	84	251	the	the	DET
american_scientific_journal-1184	84	252	previous	previous	ADJ
american_scientific_journal-1184	84	253	equation	equation	NOUN
american_scientific_journal-1184	84	254	the	the	DET
american_scientific_journal-1184	84	255	value	value	NOUN
american_scientific_journal-1184	84	256	of	of	ADP
american_scientific_journal-1184	84	257	bending	bend	VERB
american_scientific_journal-1184	84	258	moment	moment	NOUN
american_scientific_journal-1184	84	259	in	in	ADP
american_scientific_journal-1184	84	260	both	both	DET
american_scientific_journal-1184	84	261	eqs	eqs	X
american_scientific_journal-1184	84	262	.	.	PUNCT
american_scientific_journal-1184	85	1	(	(	PUNCT
american_scientific_journal-1184	85	2	30)and	30)and	NUM
american_scientific_journal-1184	85	3	eq	eq	NOUN
american_scientific_journal-1184	85	4	.	.	PUNCT
american_scientific_journal-1184	85	5	(	(	PUNCT
american_scientific_journal-1184	85	6	34	34	NUM
american_scientific_journal-1184	85	7	)	)	PUNCT
american_scientific_journal-1184	85	8	,	,	PUNCT
american_scientific_journal-1184	85	9	gives	give	VERB
american_scientific_journal-1184	85	10	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	85	11	𝑅𝑓	𝑅𝑓	PROPN
american_scientific_journal-1184	85	12	=	=	SYM
american_scientific_journal-1184	85	13	1−	1−	NUM
american_scientific_journal-1184	85	14	1	1	NUM
american_scientific_journal-1184	85	15	1−𝛽𝛼3	1−𝛽𝛼3	NUM
american_scientific_journal-1184	85	16	�	�	PROPN
american_scientific_journal-1184	85	17	3	3	NUM
american_scientific_journal-1184	85	18	�	�	PROPN
american_scientific_journal-1184	85	19	1−𝜈2	1−𝜈2	NUM
american_scientific_journal-1184	85	20	�	�	PROPN
american_scientific_journal-1184	85	21	�	�	PROPN
american_scientific_journal-1184	85	22	34	34	NUM
american_scientific_journal-1184	85	23	�	�	PROPN
american_scientific_journal-1184	85	24	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	85	25	2	2	NUM
american_scientific_journal-1184	85	26	(	(	PUNCT
american_scientific_journal-1184	85	27	𝑛+2	𝑛+2	NUM
american_scientific_journal-1184	85	28	)	)	PUNCT
american_scientific_journal-1184	85	29	�	�	PROPN
american_scientific_journal-1184	85	30	𝜎𝑜	𝜎𝑜	ADP
american_scientific_journal-1184	85	31	𝐸	𝐸	PROPN
american_scientific_journal-1184	85	32	�	�	PROPN
american_scientific_journal-1184	85	33	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	85	34	�	�	PROPN
american_scientific_journal-1184	85	35	2𝑅𝑜	2𝑅𝑜	NUM
american_scientific_journal-1184	85	36	𝐻	𝐻	PROPN
american_scientific_journal-1184	85	37	�	�	PROPN
american_scientific_journal-1184	85	38	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	85	39	−	−	NOUN
american_scientific_journal-1184	85	40	𝛽𝛼3	𝛽𝛼3	PROPN
american_scientific_journal-1184	85	41	+	+	SYM
american_scientific_journal-1184	85	42	�	�	PROPN
american_scientific_journal-1184	85	43	2𝑅𝑜	2𝑅𝑜	PROPN
american_scientific_journal-1184	85	44	𝐻	𝐻	PROPN
american_scientific_journal-1184	85	45	�	�	PROPN
american_scientific_journal-1184	85	46	3	3	NUM
american_scientific_journal-1184	85	47	�	�	PROPN
american_scientific_journal-1184	85	48	𝜎𝑜	𝜎𝑜	NOUN
american_scientific_journal-1184	85	49	𝐸	𝐸	PROPN
american_scientific_journal-1184	85	50	�	�	PROPN
american_scientific_journal-1184	85	51	3	3	NUM
american_scientific_journal-1184	85	52	(	(	PUNCT
american_scientific_journal-1184	85	53	1	1	NUM
american_scientific_journal-1184	85	54	+	+	NUM
american_scientific_journal-1184	85	55	𝜈)3	𝜈)3	PROPN
american_scientific_journal-1184	85	56	�	�	PROPN
american_scientific_journal-1184	85	57	1−	1−	NUM
american_scientific_journal-1184	85	58	3(1−𝜈)(1+𝜈)𝑛	3(1−𝜈)(1+𝜈)𝑛	NUM
american_scientific_journal-1184	85	59	�	�	PROPN
american_scientific_journal-1184	85	60	34	34	NUM
american_scientific_journal-1184	85	61	�	�	PROPN
american_scientific_journal-1184	85	62	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	85	63	2	2	NUM
american_scientific_journal-1184	85	64	(	(	PUNCT
american_scientific_journal-1184	85	65	𝑛+2	𝑛+2	NUM
american_scientific_journal-1184	85	66	)	)	PUNCT
american_scientific_journal-1184	85	67	�	�	PROPN
american_scientific_journal-1184	85	68	�	�	PROPN
american_scientific_journal-1184	85	69	(	(	PUNCT
american_scientific_journal-1184	85	70	36	36	NUM
american_scientific_journal-1184	85	71	)	)	PUNCT
american_scientific_journal-1184	85	72	where	where	SCONJ
american_scientific_journal-1184	85	73	,	,	PUNCT
american_scientific_journal-1184	85	74	𝛼	𝛼	X
american_scientific_journal-1184	85	75	=	=	NOUN
american_scientific_journal-1184	85	76	ℎ	ℎ	ADP
american_scientific_journal-1184	85	77	𝐻	𝐻	PROPN
american_scientific_journal-1184	85	78	,	,	PUNCT
american_scientific_journal-1184	85	79	𝛽	𝛽	NOUN
american_scientific_journal-1184	85	80	=	=	SYM
american_scientific_journal-1184	85	81	𝑏	𝑏	PROPN
american_scientific_journal-1184	85	82	𝐵	𝐵	NOUN
american_scientific_journal-1184	85	83	(	(	PUNCT
american_scientific_journal-1184	85	84	37	37	NUM
american_scientific_journal-1184	85	85	)	)	PUNCT
american_scientific_journal-1184	85	86	which	which	PRON
american_scientific_journal-1184	85	87	is	be	AUX
american_scientific_journal-1184	85	88	nothing	nothing	PRON
american_scientific_journal-1184	85	89	but	but	SCONJ
american_scientific_journal-1184	85	90	the	the	DET
american_scientific_journal-1184	85	91	equation	equation	NOUN
american_scientific_journal-1184	85	92	for	for	ADP
american_scientific_journal-1184	85	93	springback	springback	NOUN
american_scientific_journal-1184	85	94	ratio	ratio	NOUN
american_scientific_journal-1184	85	95	derived	derive	VERB
american_scientific_journal-1184	85	96	for	for	ADP
american_scientific_journal-1184	85	97	the	the	DET
american_scientific_journal-1184	85	98	first	first	ADJ
american_scientific_journal-1184	85	99	case	case	NOUN
american_scientific_journal-1184	85	100	2.2	2.2	NUM
american_scientific_journal-1184	85	101	.	.	PUNCT
american_scientific_journal-1184	86	1	case	case	NOUN
american_scientific_journal-1184	86	2	:	:	PUNCT
american_scientific_journal-1184	86	3	2	2	NUM
american_scientific_journal-1184	86	4	0	0	X
american_scientific_journal-1184	86	5	≤	≤	NOUN
american_scientific_journal-1184	86	6	ℎ∗	ℎ∗	PROPN
american_scientific_journal-1184	86	7	≤	≤	PUNCT
american_scientific_journal-1184	86	8	ℎ	ℎ	PROPN
american_scientific_journal-1184	86	9	2	2	NUM
american_scientific_journal-1184	86	10	the	the	DET
american_scientific_journal-1184	86	11	second	second	ADJ
american_scientific_journal-1184	86	12	case	case	NOUN
american_scientific_journal-1184	86	13	is	be	AUX
american_scientific_journal-1184	86	14	when	when	SCONJ
american_scientific_journal-1184	86	15	yielding	yield	VERB
american_scientific_journal-1184	86	16	occurs	occur	VERB
american_scientific_journal-1184	86	17	in	in	ADP
american_scientific_journal-1184	86	18	the	the	DET
american_scientific_journal-1184	86	19	web	web	NOUN
american_scientific_journal-1184	86	20	i.e.	i.e.	X
american_scientific_journal-1184	86	21	when	when	SCONJ
american_scientific_journal-1184	86	22	0	0	NUM
american_scientific_journal-1184	86	23	≤	≤	NUM
american_scientific_journal-1184	86	24	h∗	h∗	PROPN
american_scientific_journal-1184	86	25	≤	≤	PROPN
american_scientific_journal-1184	86	26	h	h	NOUN
american_scientific_journal-1184	86	27	2	2	NUM
american_scientific_journal-1184	86	28	,	,	PUNCT
american_scientific_journal-1184	86	29	thus	thus	ADV
american_scientific_journal-1184	86	30	eq.(26	eq.(26	ADV
american_scientific_journal-1184	86	31	)	)	PUNCT
american_scientific_journal-1184	86	32	could	could	AUX
american_scientific_journal-1184	86	33	be	be	AUX
american_scientific_journal-1184	86	34	rewritten	rewrite	VERB
american_scientific_journal-1184	86	35	as	as	SCONJ
american_scientific_journal-1184	86	36	follows	follow	VERB
american_scientific_journal-1184	86	37	for	for	ADP
american_scientific_journal-1184	86	38	this	this	DET
american_scientific_journal-1184	86	39	case	case	NOUN
american_scientific_journal-1184	87	1	𝑀𝑚𝑎𝑥	𝑀𝑚𝑎𝑥	PROPN
american_scientific_journal-1184	87	2	=	=	SYM
american_scientific_journal-1184	87	3	2	2	NUM
american_scientific_journal-1184	87	4	�	�	PROPN
american_scientific_journal-1184	87	5	∫	∫	PROPN
american_scientific_journal-1184	87	6	𝜎𝑥𝑒𝑙𝑎𝑠𝑡𝑖𝑐(𝐵	𝜎𝑥𝑒𝑙𝑎𝑠𝑡𝑖𝑐(𝐵	PROPN
american_scientific_journal-1184	88	1	−	−	NOUN
american_scientific_journal-1184	89	1	𝑏)𝑦𝑑𝑦ℎ∗	𝑏)𝑦𝑑𝑦ℎ∗	NOUN
american_scientific_journal-1184	89	2	0	0	NUM
american_scientific_journal-1184	89	3	+	+	NUM
american_scientific_journal-1184	89	4	∫	∫	PROPN
american_scientific_journal-1184	89	5	𝜎𝑥𝑝𝑙𝑎𝑠𝑡𝑖𝑐	𝜎𝑥𝑝𝑙𝑎𝑠𝑡𝑖𝑐	VERB
american_scientific_journal-1184	89	6	ℎ	ℎ	PROPN
american_scientific_journal-1184	89	7	2	2	NUM
american_scientific_journal-1184	89	8	ℎ∗	ℎ∗	PROPN
american_scientific_journal-1184	89	9	(	(	PUNCT
american_scientific_journal-1184	89	10	𝐵	𝐵	NOUN
american_scientific_journal-1184	89	11	−	−	PROPN
american_scientific_journal-1184	89	12	𝑏)𝑦𝑑𝑦+	𝑏)𝑦𝑑𝑦+	NOUN
american_scientific_journal-1184	89	13	∫	∫	PROPN
american_scientific_journal-1184	89	14	𝜎𝑥𝑝𝑙𝑎𝑠𝑡𝑖𝑐	𝜎𝑥𝑝𝑙𝑎𝑠𝑡𝑖𝑐	VERB
american_scientific_journal-1184	89	15	𝐻	𝐻	PROPN
american_scientific_journal-1184	89	16	2	2	NUM
american_scientific_journal-1184	89	17	ℎ	ℎ	PART
american_scientific_journal-1184	89	18	2	2	NUM
american_scientific_journal-1184	89	19	𝐵𝑦𝑑𝑦	𝐵𝑦𝑑𝑦	PROPN
american_scientific_journal-1184	89	20	�	�	PROPN
american_scientific_journal-1184	89	21	(	(	PUNCT
american_scientific_journal-1184	89	22	38	38	NUM
american_scientific_journal-1184	89	23	)	)	PUNCT
american_scientific_journal-1184	89	24	replacing	replace	VERB
american_scientific_journal-1184	89	25	the	the	DET
american_scientific_journal-1184	89	26	value	value	NOUN
american_scientific_journal-1184	89	27	of	of	ADP
american_scientific_journal-1184	89	28	σx	σx	NOUN
american_scientific_journal-1184	89	29	in	in	ADP
american_scientific_journal-1184	89	30	the	the	DET
american_scientific_journal-1184	89	31	previous	previous	ADJ
american_scientific_journal-1184	89	32	equation	equation	NOUN
american_scientific_journal-1184	89	33	with	with	ADP
american_scientific_journal-1184	89	34	the	the	DET
american_scientific_journal-1184	89	35	equivalent	equivalent	ADJ
american_scientific_journal-1184	89	36	values	value	NOUN
american_scientific_journal-1184	89	37	given	give	VERB
american_scientific_journal-1184	89	38	in	in	ADP
american_scientific_journal-1184	89	39	eqs	eqs	PROPN
american_scientific_journal-1184	89	40	.	.	PUNCT
american_scientific_journal-1184	90	1	(	(	PUNCT
american_scientific_journal-1184	90	2	18	18	NUM
american_scientific_journal-1184	90	3	)	)	PUNCT
american_scientific_journal-1184	90	4	and	and	CCONJ
american_scientific_journal-1184	90	5	(	(	PUNCT
american_scientific_journal-1184	90	6	25	25	NUM
american_scientific_journal-1184	90	7	)	)	PUNCT
american_scientific_journal-1184	90	8	𝑀𝑚𝑎𝑥	𝑀𝑚𝑎𝑥	NOUN
american_scientific_journal-1184	90	9	=	=	SYM
american_scientific_journal-1184	90	10	2	2	NUM
american_scientific_journal-1184	90	11	�	�	PROPN
american_scientific_journal-1184	90	12	∫	∫	PROPN
american_scientific_journal-1184	90	13	𝐸	𝐸	PROPN
american_scientific_journal-1184	90	14	(	(	PUNCT
american_scientific_journal-1184	90	15	1−𝒱𝒱2	1−𝒱𝒱2	PROPN
american_scientific_journal-1184	90	16	)	)	PUNCT
american_scientific_journal-1184	90	17	∗	∗	NOUN
american_scientific_journal-1184	90	18	𝑦2	𝑦2	PROPN
american_scientific_journal-1184	91	1	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	91	2	(	(	PUNCT
american_scientific_journal-1184	91	3	𝐵	𝐵	PROPN
american_scientific_journal-1184	91	4	−	−	PROPN
american_scientific_journal-1184	91	5	𝑏)𝑑𝑦ℎ∗	𝑏)𝑑𝑦ℎ∗	PROPN
american_scientific_journal-1184	91	6	0	0	NUM
american_scientific_journal-1184	92	1	+	+	NUM
american_scientific_journal-1184	92	2	∫	∫	PROPN
american_scientific_journal-1184	92	3	𝐾	𝐾	PROPN
american_scientific_journal-1184	92	4	�	�	PROPN
american_scientific_journal-1184	92	5	34	34	NUM
american_scientific_journal-1184	92	6	�	�	PROPN
american_scientific_journal-1184	92	7	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	92	8	2	2	NUM
american_scientific_journal-1184	92	9	𝑦𝑛+1	𝑦𝑛+1	PROPN
american_scientific_journal-1184	92	10	ron	ron	PROPN
american_scientific_journal-1184	92	11	ℎ	ℎ	PROPN
american_scientific_journal-1184	92	12	2	2	NUM
american_scientific_journal-1184	92	13	ℎ∗	ℎ∗	PROPN
american_scientific_journal-1184	92	14	(	(	PUNCT
american_scientific_journal-1184	92	15	𝐵	𝐵	NOUN
american_scientific_journal-1184	92	16	−	−	PROPN
american_scientific_journal-1184	93	1	𝑏)𝑑𝑦	𝑏)𝑑𝑦	PROPN
american_scientific_journal-1184	93	2	+	+	CCONJ
american_scientific_journal-1184	93	3	∫	∫	PROPN
american_scientific_journal-1184	93	4	𝐾	𝐾	PROPN
american_scientific_journal-1184	93	5	�	�	PROPN
american_scientific_journal-1184	93	6	34	34	NUM
american_scientific_journal-1184	93	7	�	�	PROPN
american_scientific_journal-1184	93	8	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	93	9	2	2	NUM
american_scientific_journal-1184	93	10	𝑦	𝑦	NOUN
american_scientific_journal-1184	93	11	ron	ron	X
american_scientific_journal-1184	93	12	𝑛+1𝐻	𝑛+1𝐻	NUM
american_scientific_journal-1184	93	13	2	2	NUM
american_scientific_journal-1184	93	14	ℎ	ℎ	SYM
american_scientific_journal-1184	93	15	2	2	NUM
american_scientific_journal-1184	93	16	𝐵𝑑𝑦	𝐵𝑑𝑦	PROPN
american_scientific_journal-1184	93	17	�	�	PROPN
american_scientific_journal-1184	93	18	(	(	PUNCT
american_scientific_journal-1184	93	19	39	39	NUM
american_scientific_journal-1184	93	20	)	)	PUNCT
american_scientific_journal-1184	93	21	therefore	therefore	ADV
american_scientific_journal-1184	93	22	the	the	DET
american_scientific_journal-1184	93	23	springback	springback	NOUN
american_scientific_journal-1184	93	24	ratio	ratio	NOUN
american_scientific_journal-1184	93	25	could	could	AUX
american_scientific_journal-1184	93	26	be	be	AUX
american_scientific_journal-1184	93	27	introduced	introduce	VERB
american_scientific_journal-1184	93	28	in	in	ADP
american_scientific_journal-1184	93	29	the	the	DET
american_scientific_journal-1184	93	30	following	follow	VERB
american_scientific_journal-1184	93	31	form	form	NOUN
american_scientific_journal-1184	93	32	𝑅𝑜	𝑅𝑜	ADP
american_scientific_journal-1184	93	33	𝑅𝑓	𝑅𝑓	PROPN
american_scientific_journal-1184	93	34	=	=	SYM
american_scientific_journal-1184	93	35	1−	1−	NUM
american_scientific_journal-1184	93	36	1	1	NUM
american_scientific_journal-1184	93	37	1−𝛽𝛼3	1−𝛽𝛼3	NUM
american_scientific_journal-1184	93	38	�	�	PROPN
american_scientific_journal-1184	93	39	3	3	NUM
american_scientific_journal-1184	93	40	�	�	PROPN
american_scientific_journal-1184	93	41	1−𝜈2	1−𝜈2	NUM
american_scientific_journal-1184	93	42	�	�	PROPN
american_scientific_journal-1184	93	43	�	�	PROPN
american_scientific_journal-1184	93	44	34	34	NUM
american_scientific_journal-1184	93	45	�	�	PROPN
american_scientific_journal-1184	93	46	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	93	47	2	2	NUM
american_scientific_journal-1184	93	48	(	(	PUNCT
american_scientific_journal-1184	93	49	𝑛+2	𝑛+2	NUM
american_scientific_journal-1184	93	50	)	)	PUNCT
american_scientific_journal-1184	93	51	�	�	PROPN
american_scientific_journal-1184	93	52	𝜎𝑜	𝜎𝑜	ADP
american_scientific_journal-1184	93	53	𝐸	𝐸	PROPN
american_scientific_journal-1184	93	54	�	�	PROPN
american_scientific_journal-1184	93	55	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	93	56	�	�	PROPN
american_scientific_journal-1184	93	57	2𝑅𝑜	2𝑅𝑜	NUM
american_scientific_journal-1184	93	58	𝐻	𝐻	PROPN
american_scientific_journal-1184	93	59	�	�	PROPN
american_scientific_journal-1184	93	60	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	93	61	(	(	PUNCT
american_scientific_journal-1184	93	62	1	1	NUM
american_scientific_journal-1184	93	63	−	−	PROPN
american_scientific_journal-1184	93	64	𝛽𝛼𝑛+2	𝛽𝛼𝑛+2	NOUN
american_scientific_journal-1184	93	65	)	)	PUNCT
american_scientific_journal-1184	93	66	+	+	CCONJ
american_scientific_journal-1184	93	67	�	�	PROPN
american_scientific_journal-1184	93	68	2𝑅𝑜	2𝑅𝑜	PROPN
american_scientific_journal-1184	93	69	𝐻	𝐻	PROPN
american_scientific_journal-1184	93	70	�	�	PROPN
american_scientific_journal-1184	93	71	3	3	NUM
american_scientific_journal-1184	93	72	�	�	PROPN
american_scientific_journal-1184	93	73	𝜎𝑜	𝜎𝑜	NOUN
american_scientific_journal-1184	93	74	𝐸	𝐸	PROPN
american_scientific_journal-1184	93	75	�	�	PROPN
american_scientific_journal-1184	93	76	3	3	NUM
american_scientific_journal-1184	93	77	(	(	PUNCT
american_scientific_journal-1184	93	78	1	1	NUM
american_scientific_journal-1184	93	79	+	+	CCONJ
american_scientific_journal-1184	93	80	𝜈)3(1−	𝜈)3(1−	PROPN
american_scientific_journal-1184	93	81	𝛽	𝛽	NOUN
american_scientific_journal-1184	93	82	)	)	PUNCT
american_scientific_journal-1184	93	83	�	�	PROPN
american_scientific_journal-1184	93	84	1−	1−	NUM
american_scientific_journal-1184	93	85	3(1−𝜈)(1+𝜈)𝑛	3(1−𝜈)(1+𝜈)𝑛	NUM
american_scientific_journal-1184	93	86	�	�	PROPN
american_scientific_journal-1184	93	87	34	34	NUM
american_scientific_journal-1184	93	88	�	�	PROPN
american_scientific_journal-1184	93	89	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	93	90	2	2	NUM
american_scientific_journal-1184	93	91	(	(	PUNCT
american_scientific_journal-1184	93	92	𝑛+2	𝑛+2	NUM
american_scientific_journal-1184	93	93	)	)	PUNCT
american_scientific_journal-1184	93	94	�	�	PROPN
american_scientific_journal-1184	93	95	�	�	PROPN
american_scientific_journal-1184	93	96	(	(	PUNCT
american_scientific_journal-1184	93	97	40	40	NUM
american_scientific_journal-1184	93	98	)	)	PUNCT
american_scientific_journal-1184	93	99	this	this	PRON
american_scientific_journal-1184	93	100	is	be	AUX
american_scientific_journal-1184	93	101	the	the	DET
american_scientific_journal-1184	93	102	equation	equation	NOUN
american_scientific_journal-1184	93	103	for	for	ADP
american_scientific_journal-1184	93	104	springback	springback	NOUN
american_scientific_journal-1184	93	105	ratio	ratio	NOUN
american_scientific_journal-1184	93	106	derived	derive	VERB
american_scientific_journal-1184	93	107	for	for	ADP
american_scientific_journal-1184	93	108	the	the	DET
american_scientific_journal-1184	93	109	second	second	ADJ
american_scientific_journal-1184	93	110	case	case	NOUN
american_scientific_journal-1184	93	111	194	194	NUM
american_scientific_journal-1184	93	112	american	american	ADJ
american_scientific_journal-1184	93	113	scientific	scientific	ADJ
american_scientific_journal-1184	93	114	research	research	NOUN
american_scientific_journal-1184	93	115	journal	journal	NOUN
american_scientific_journal-1184	93	116	for	for	ADP
american_scientific_journal-1184	93	117	engineering	engineering	NOUN
american_scientific_journal-1184	93	118	,	,	PUNCT
american_scientific_journal-1184	93	119	technology	technology	NOUN
american_scientific_journal-1184	93	120	,	,	PUNCT
american_scientific_journal-1184	93	121	and	and	CCONJ
american_scientific_journal-1184	93	122	sciences	science	NOUN
american_scientific_journal-1184	93	123	(	(	PUNCT
american_scientific_journal-1184	93	124	asrjets	asrjet	NOUN
american_scientific_journal-1184	93	125	)	)	PUNCT
american_scientific_journal-1184	93	126	(	(	PUNCT
american_scientific_journal-1184	93	127	2015	2015	NUM
american_scientific_journal-1184	93	128	)	)	PUNCT
american_scientific_journal-1184	93	129	volume	volume	NOUN
american_scientific_journal-1184	93	130	14	14	NUM
american_scientific_journal-1184	93	131	,	,	PUNCT
american_scientific_journal-1184	93	132	no	no	DET
american_scientific_journal-1184	93	133	3	3	NUM
american_scientific_journal-1184	93	134	,	,	PUNCT
american_scientific_journal-1184	93	135	pp	pp	ADV
american_scientific_journal-1184	93	136	187	187	NUM
american_scientific_journal-1184	93	137	-	-	SYM
american_scientific_journal-1184	93	138	201	201	NUM
american_scientific_journal-1184	93	139	3	3	NUM
american_scientific_journal-1184	93	140	.	.	NOUN
american_scientific_journal-1184	93	141	results	result	NOUN
american_scientific_journal-1184	93	142	and	and	CCONJ
american_scientific_journal-1184	93	143	discussion	discussion	NOUN
american_scientific_journal-1184	93	144	for	for	ADP
american_scientific_journal-1184	93	145	bending	bend	VERB
american_scientific_journal-1184	93	146	i	i	PROPN
american_scientific_journal-1184	93	147	-	-	PUNCT
american_scientific_journal-1184	93	148	sections	section	NOUN
american_scientific_journal-1184	93	149	the	the	DET
american_scientific_journal-1184	93	150	springback	springback	NOUN
american_scientific_journal-1184	93	151	ratio	ratio	NOUN
american_scientific_journal-1184	93	152	is	be	AUX
american_scientific_journal-1184	93	153	calculated	calculate	VERB
american_scientific_journal-1184	93	154	for	for	ADP
american_scientific_journal-1184	93	155	the	the	DET
american_scientific_journal-1184	93	156	previous	previous	ADJ
american_scientific_journal-1184	93	157	two	two	NUM
american_scientific_journal-1184	93	158	cases	case	NOUN
american_scientific_journal-1184	93	159	in	in	ADP
american_scientific_journal-1184	93	160	eqs	eqs	PROPN
american_scientific_journal-1184	93	161	.	.	PUNCT
american_scientific_journal-1184	94	1	(	(	PUNCT
american_scientific_journal-1184	94	2	36	36	NUM
american_scientific_journal-1184	94	3	)	)	PUNCT
american_scientific_journal-1184	94	4	and	and	CCONJ
american_scientific_journal-1184	94	5	(	(	PUNCT
american_scientific_journal-1184	94	6	40	40	NUM
american_scientific_journal-1184	94	7	)	)	PUNCT
american_scientific_journal-1184	94	8	.	.	PUNCT
american_scientific_journal-1184	95	1	it	it	PRON
american_scientific_journal-1184	95	2	is	be	AUX
american_scientific_journal-1184	95	3	noticed	notice	VERB
american_scientific_journal-1184	95	4	that	that	SCONJ
american_scientific_journal-1184	95	5	both	both	DET
american_scientific_journal-1184	95	6	equations	equation	NOUN
american_scientific_journal-1184	95	7	have	have	VERB
american_scientific_journal-1184	95	8	a	a	DET
american_scientific_journal-1184	95	9	final	final	ADJ
american_scientific_journal-1184	95	10	term	term	NOUN
american_scientific_journal-1184	95	11	that	that	PRON
american_scientific_journal-1184	95	12	is	be	AUX
american_scientific_journal-1184	95	13	very	very	ADV
american_scientific_journal-1184	95	14	negligible	negligible	ADJ
american_scientific_journal-1184	95	15	because	because	SCONJ
american_scientific_journal-1184	95	16	the	the	DET
american_scientific_journal-1184	95	17	y	y	PROPN
american_scientific_journal-1184	95	18	/	/	SYM
american_scientific_journal-1184	95	19	e=5.5	e=5.5	NOUN
american_scientific_journal-1184	95	20	x	x	SYM
american_scientific_journal-1184	95	21	10	10	NUM
american_scientific_journal-1184	95	22	-	-	SYM
american_scientific_journal-1184	95	23	4	4	NUM
american_scientific_journal-1184	95	24	.	.	PUNCT
american_scientific_journal-1184	96	1	therefore	therefore	ADV
american_scientific_journal-1184	96	2	,	,	PUNCT
american_scientific_journal-1184	96	3	the	the	DET
american_scientific_journal-1184	96	4	last	last	ADJ
american_scientific_journal-1184	96	5	term	term	NOUN
american_scientific_journal-1184	96	6	of	of	ADP
american_scientific_journal-1184	96	7	both	both	DET
american_scientific_journal-1184	96	8	equations	equation	NOUN
american_scientific_journal-1184	96	9	could	could	AUX
american_scientific_journal-1184	96	10	be	be	AUX
american_scientific_journal-1184	96	11	neglected	neglect	VERB
american_scientific_journal-1184	96	12	.	.	PUNCT
american_scientific_journal-1184	97	1	thus	thus	ADV
american_scientific_journal-1184	97	2	the	the	DET
american_scientific_journal-1184	97	3	springback	springback	NOUN
american_scientific_journal-1184	97	4	ratio	ratio	NOUN
american_scientific_journal-1184	97	5	will	will	AUX
american_scientific_journal-1184	97	6	be	be	AUX
american_scientific_journal-1184	97	7	introduced	introduce	VERB
american_scientific_journal-1184	97	8	,	,	PUNCT
american_scientific_journal-1184	97	9	for	for	ADP
american_scientific_journal-1184	97	10	the	the	DET
american_scientific_journal-1184	97	11	first	first	ADJ
american_scientific_journal-1184	97	12	and	and	CCONJ
american_scientific_journal-1184	97	13	second	second	ADJ
american_scientific_journal-1184	97	14	case	case	NOUN
american_scientific_journal-1184	97	15	respectively	respectively	ADV
american_scientific_journal-1184	97	16	;	;	PUNCT
american_scientific_journal-1184	97	17	as	as	ADP
american_scientific_journal-1184	97	18	the	the	DET
american_scientific_journal-1184	97	19	following	following	ADJ
american_scientific_journal-1184	97	20	equations	equation	NOUN
american_scientific_journal-1184	97	21	:	:	PUNCT
american_scientific_journal-1184	97	22	𝑅𝑜	𝑅𝑜	PROPN
american_scientific_journal-1184	97	23	𝑅𝑓	𝑅𝑓	PROPN
american_scientific_journal-1184	97	24	=	=	SYM
american_scientific_journal-1184	97	25	1−	1−	NUM
american_scientific_journal-1184	97	26	1	1	NUM
american_scientific_journal-1184	97	27	1−𝛽𝛼3	1−𝛽𝛼3	NUM
american_scientific_journal-1184	97	28	�	�	PROPN
american_scientific_journal-1184	97	29	3	3	NUM
american_scientific_journal-1184	97	30	�	�	PROPN
american_scientific_journal-1184	97	31	1−𝜈2	1−𝜈2	NUM
american_scientific_journal-1184	97	32	�	�	PROPN
american_scientific_journal-1184	97	33	�	�	PROPN
american_scientific_journal-1184	97	34	34	34	NUM
american_scientific_journal-1184	97	35	�	�	PROPN
american_scientific_journal-1184	97	36	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	97	37	2	2	NUM
american_scientific_journal-1184	97	38	(	(	PUNCT
american_scientific_journal-1184	97	39	𝑛+2	𝑛+2	NUM
american_scientific_journal-1184	97	40	)	)	PUNCT
american_scientific_journal-1184	97	41	�	�	PROPN
american_scientific_journal-1184	97	42	𝜎𝑜	𝜎𝑜	ADP
american_scientific_journal-1184	97	43	𝐸	𝐸	PROPN
american_scientific_journal-1184	97	44	�	�	PROPN
american_scientific_journal-1184	97	45	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	97	46	�	�	PROPN
american_scientific_journal-1184	97	47	2𝑅𝑜	2𝑅𝑜	NUM
american_scientific_journal-1184	97	48	𝐻	𝐻	PROPN
american_scientific_journal-1184	97	49	�	�	PROPN
american_scientific_journal-1184	97	50	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	97	51	−	−	ADP
american_scientific_journal-1184	97	52	𝛽𝛼3	𝛽𝛼3	PROPN
american_scientific_journal-1184	97	53	�	�	PROPN
american_scientific_journal-1184	97	54	(	(	PUNCT
american_scientific_journal-1184	97	55	41	41	NUM
american_scientific_journal-1184	97	56	)	)	PUNCT
american_scientific_journal-1184	97	57	𝑅𝑜	𝑅𝑜	ADP
american_scientific_journal-1184	97	58	𝑅𝑓	𝑅𝑓	NOUN
american_scientific_journal-1184	97	59	=	=	SYM
american_scientific_journal-1184	97	60	1−	1−	NUM
american_scientific_journal-1184	97	61	1	1	NUM
american_scientific_journal-1184	97	62	1−𝛽𝛼3	1−𝛽𝛼3	NUM
american_scientific_journal-1184	97	63	�	�	PROPN
american_scientific_journal-1184	97	64	3	3	NUM
american_scientific_journal-1184	97	65	�	�	PROPN
american_scientific_journal-1184	97	66	1−𝜈2	1−𝜈2	NUM
american_scientific_journal-1184	97	67	�	�	PROPN
american_scientific_journal-1184	97	68	�	�	PROPN
american_scientific_journal-1184	97	69	34	34	NUM
american_scientific_journal-1184	97	70	�	�	PROPN
american_scientific_journal-1184	97	71	1+𝑛	1+𝑛	NUM
american_scientific_journal-1184	97	72	2	2	NUM
american_scientific_journal-1184	97	73	(	(	PUNCT
american_scientific_journal-1184	97	74	𝑛+2	𝑛+2	NUM
american_scientific_journal-1184	97	75	)	)	PUNCT
american_scientific_journal-1184	97	76	�	�	PROPN
american_scientific_journal-1184	97	77	𝜎𝑜	𝜎𝑜	ADP
american_scientific_journal-1184	97	78	𝐸	𝐸	PROPN
american_scientific_journal-1184	97	79	�	�	PROPN
american_scientific_journal-1184	97	80	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	97	81	�	�	PROPN
american_scientific_journal-1184	97	82	2𝑅𝑜	2𝑅𝑜	NUM
american_scientific_journal-1184	97	83	𝐻	𝐻	PROPN
american_scientific_journal-1184	97	84	�	�	PROPN
american_scientific_journal-1184	97	85	1−𝑛	1−𝑛	NUM
american_scientific_journal-1184	97	86	(	(	PUNCT
american_scientific_journal-1184	97	87	1	1	NUM
american_scientific_journal-1184	97	88	−	−	PROPN
american_scientific_journal-1184	97	89	𝛽𝛼𝑛+2	𝛽𝛼𝑛+2	NOUN
american_scientific_journal-1184	97	90	)	)	PUNCT
american_scientific_journal-1184	97	91	�	�	PROPN
american_scientific_journal-1184	97	92	(	(	PUNCT
american_scientific_journal-1184	97	93	42	42	NUM
american_scientific_journal-1184	97	94	)	)	PUNCT
american_scientific_journal-1184	97	95	this	this	DET
american_scientific_journal-1184	97	96	equations	equation	NOUN
american_scientific_journal-1184	97	97	(	(	PUNCT
american_scientific_journal-1184	97	98	eqs	eqs	X
american_scientific_journal-1184	97	99	.	.	PUNCT
american_scientific_journal-1184	98	1	(	(	PUNCT
american_scientific_journal-1184	98	2	41	41	NUM
american_scientific_journal-1184	98	3	)	)	PUNCT
american_scientific_journal-1184	98	4	and	and	CCONJ
american_scientific_journal-1184	98	5	(	(	PUNCT
american_scientific_journal-1184	98	6	42	42	NUM
american_scientific_journal-1184	98	7	)	)	PUNCT
american_scientific_journal-1184	98	8	)	)	PUNCT
american_scientific_journal-1184	98	9	are	be	AUX
american_scientific_journal-1184	98	10	depending	depend	VERB
american_scientific_journal-1184	98	11	on	on	ADP
american_scientific_journal-1184	98	12	the	the	DET
american_scientific_journal-1184	98	13	ratio	ratio	NOUN
american_scientific_journal-1184	98	14	ro	ro	PROPN
american_scientific_journal-1184	98	15	/	/	SYM
american_scientific_journal-1184	98	16	h	h	PROPN
american_scientific_journal-1184	98	17	,	,	PUNCT
american_scientific_journal-1184	98	18	y	y	PROPN
american_scientific_journal-1184	98	19	/	/	SYM
american_scientific_journal-1184	98	20	e	e	PROPN
american_scientific_journal-1184	98	21	,	,	PUNCT
american_scientific_journal-1184	98	22	the	the	DET
american_scientific_journal-1184	98	23	strain	strain	NOUN
american_scientific_journal-1184	98	24	exponent	exponent	NOUN
american_scientific_journal-1184	98	25	(	(	PUNCT
american_scientific_journal-1184	98	26	n	n	CCONJ
american_scientific_journal-1184	98	27	)	)	PUNCT
american_scientific_journal-1184	98	28	,	,	PUNCT
american_scientific_journal-1184	98	29	the	the	DET
american_scientific_journal-1184	98	30	geometrical	geometrical	ADJ
american_scientific_journal-1184	98	31	coefficients	coefficient	NOUN
american_scientific_journal-1184	98	32	α	α	PRON
american_scientific_journal-1184	98	33	,	,	PUNCT
american_scientific_journal-1184	98	34	β	β	X
american_scientific_journal-1184	98	35	and	and	CCONJ
american_scientific_journal-1184	98	36	the	the	DET
american_scientific_journal-1184	98	37	poisson	poisson	NOUN
american_scientific_journal-1184	98	38	's	's	PART
american_scientific_journal-1184	98	39	ratio	ratio	NOUN
american_scientific_journal-1184	98	40	(	(	PUNCT
american_scientific_journal-1184	98	41	ν	ν	NOUN
american_scientific_journal-1184	98	42	)	)	PUNCT
american_scientific_journal-1184	98	43	.	.	PUNCT
american_scientific_journal-1184	99	1	figures	figure	NOUN
american_scientific_journal-1184	99	2	3	3	NUM
american_scientific_journal-1184	99	3	-	-	SYM
american_scientific_journal-1184	99	4	5	5	NUM
american_scientific_journal-1184	99	5	shows	show	VERB
american_scientific_journal-1184	99	6	the	the	DET
american_scientific_journal-1184	99	7	variation	variation	NOUN
american_scientific_journal-1184	99	8	of	of	ADP
american_scientific_journal-1184	99	9	springback	springback	NOUN
american_scientific_journal-1184	99	10	ratio	ratio	NOUN
american_scientific_journal-1184	99	11	with	with	ADP
american_scientific_journal-1184	99	12	(	(	PUNCT
american_scientific_journal-1184	99	13	ro	ro	X
american_scientific_journal-1184	99	14	/	/	SYM
american_scientific_journal-1184	99	15	h	h	NOUN
american_scientific_journal-1184	99	16	)	)	PUNCT
american_scientific_journal-1184	99	17	and	and	CCONJ
american_scientific_journal-1184	99	18	different	different	ADJ
american_scientific_journal-1184	99	19	values	value	NOUN
american_scientific_journal-1184	99	20	of	of	ADP
american_scientific_journal-1184	99	21	(	(	PUNCT
american_scientific_journal-1184	99	22	n	n	CCONJ
american_scientific_journal-1184	99	23	)	)	PUNCT
american_scientific_journal-1184	99	24	at	at	ADP
american_scientific_journal-1184	99	25	constant	constant	ADJ
american_scientific_journal-1184	99	26	value	value	NOUN
american_scientific_journal-1184	99	27	of	of	ADP
american_scientific_journal-1184	99	28	α=	α=	NOUN
american_scientific_journal-1184	99	29	0.9	0.9	NUM
american_scientific_journal-1184	99	30	and	and	CCONJ
american_scientific_journal-1184	99	31	β=	β=	NOUN
american_scientific_journal-1184	99	32	0.8	0.8	NUM
american_scientific_journal-1184	99	33	,	,	PUNCT
american_scientific_journal-1184	99	34	with	with	ADP
american_scientific_journal-1184	99	35	different	different	ADJ
american_scientific_journal-1184	99	36	values	value	NOUN
american_scientific_journal-1184	99	37	of	of	ADP
american_scientific_journal-1184	99	38	(	(	PUNCT
american_scientific_journal-1184	99	39	y	y	PROPN
american_scientific_journal-1184	99	40	/	/	SYM
american_scientific_journal-1184	99	41	e	e	NOUN
american_scientific_journal-1184	99	42	):	):	PUNCT
american_scientific_journal-1184	99	43	5.5x104	5.5x104	PROPN
american_scientific_journal-1184	99	44	,	,	PUNCT
american_scientific_journal-1184	99	45	1.522x10	1.522x10	NUM
american_scientific_journal-1184	99	46	-	-	SYM
american_scientific_journal-1184	99	47	3	3	NUM
american_scientific_journal-1184	99	48	and	and	CCONJ
american_scientific_journal-1184	99	49	2.4x10	2.4x10	NUM
american_scientific_journal-1184	99	50	-	-	SYM
american_scientific_journal-1184	99	51	3	3	NUM
american_scientific_journal-1184	99	52	(	(	PUNCT
american_scientific_journal-1184	99	53	for	for	ADP
american_scientific_journal-1184	99	54	different	different	ADJ
american_scientific_journal-1184	99	55	material	material	NOUN
american_scientific_journal-1184	99	56	c10100	c10100	PROPN
american_scientific_journal-1184	99	57	copper	copper	NOUN
american_scientific_journal-1184	99	58	,	,	PUNCT
american_scientific_journal-1184	99	59	1100al	1100al	ADJ
american_scientific_journal-1184	99	60	,	,	PUNCT
american_scientific_journal-1184	99	61	and	and	CCONJ
american_scientific_journal-1184	99	62	1065steel	1065steel	NUM
american_scientific_journal-1184	99	63	)	)	PUNCT
american_scientific_journal-1184	100	1	[	[	X
american_scientific_journal-1184	100	2	11	11	NUM
american_scientific_journal-1184	100	3	]	]	PUNCT
american_scientific_journal-1184	100	4	.	.	PUNCT
american_scientific_journal-1184	101	1	figure	figure	VERB
american_scientific_journal-1184	101	2	3	3	NUM
american_scientific_journal-1184	101	3	:	:	PUNCT
american_scientific_journal-1184	101	4	thespringback	thespringback	VERB
american_scientific_journal-1184	101	5	ratio	ratio	NOUN
american_scientific_journal-1184	101	6	with	with	ADP
american_scientific_journal-1184	101	7	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	101	8	different	different	ADJ
american_scientific_journal-1184	101	9	values	value	NOUN
american_scientific_journal-1184	101	10	of	of	ADP
american_scientific_journal-1184	101	11	n	n	PRON
american_scientific_journal-1184	101	12	at	at	ADP
american_scientific_journal-1184	101	13	y	y	PROPN
american_scientific_journal-1184	101	14	/	/	SYM
american_scientific_journal-1184	101	15	e=5.5	e=5.5	NOUN
american_scientific_journal-1184	101	16	*	*	NUM
american_scientific_journal-1184	101	17	10	10	NUM
american_scientific_journal-1184	101	18	-	-	PUNCT
american_scientific_journal-1184	101	19	4,𝒱𝒱	4,𝒱𝒱	VERB
american_scientific_journal-1184	101	20	=	=	NOUN
american_scientific_journal-1184	101	21	0.33	0.33	NUM
american_scientific_journal-1184	101	22	the	the	DET
american_scientific_journal-1184	101	23	preceding	precede	VERB
american_scientific_journal-1184	101	24	figures	figure	NOUN
american_scientific_journal-1184	101	25	showed	show	VERB
american_scientific_journal-1184	101	26	that	that	SCONJ
american_scientific_journal-1184	101	27	:	:	PUNCT
american_scientific_journal-1184	101	28	decreasing	decrease	VERB
american_scientific_journal-1184	101	29	of	of	ADP
american_scientific_journal-1184	101	30	the	the	DET
american_scientific_journal-1184	101	31	springback	springback	NOUN
american_scientific_journal-1184	101	32	ratio	ratio	NOUN
american_scientific_journal-1184	101	33	(	(	PUNCT
american_scientific_journal-1184	101	34	ro	ro	X
american_scientific_journal-1184	101	35	/	/	SYM
american_scientific_journal-1184	101	36	rf	rf	NOUN
american_scientific_journal-1184	101	37	)	)	PUNCT
american_scientific_journal-1184	101	38	occurs	occur	VERB
american_scientific_journal-1184	101	39	with	with	ADP
american_scientific_journal-1184	101	40	increasing	increase	VERB
american_scientific_journal-1184	101	41	values	value	NOUN
american_scientific_journal-1184	101	42	of	of	ADP
american_scientific_journal-1184	101	43	(	(	PUNCT
american_scientific_journal-1184	101	44	n	n	CCONJ
american_scientific_journal-1184	101	45	)	)	PUNCT
american_scientific_journal-1184	101	46	(	(	PUNCT
american_scientific_journal-1184	101	47	strain	strain	VERB
american_scientific_journal-1184	101	48	hardening	harden	VERB
american_scientific_journal-1184	101	49	exponent	exponent	NOUN
american_scientific_journal-1184	101	50	)	)	PUNCT
american_scientific_journal-1184	101	51	as	as	ADV
american_scientific_journal-1184	101	52	well	well	ADV
american_scientific_journal-1184	101	53	as	as	ADP
american_scientific_journal-1184	101	54	increasing	increase	VERB
american_scientific_journal-1184	101	55	of	of	ADP
american_scientific_journal-1184	101	56	the	the	DET
american_scientific_journal-1184	101	57	values	value	NOUN
american_scientific_journal-1184	101	58	of	of	ADP
american_scientific_journal-1184	101	59	(	(	PUNCT
american_scientific_journal-1184	101	60	y	y	PROPN
american_scientific_journal-1184	101	61	/	/	SYM
american_scientific_journal-1184	101	62	e	e	NOUN
american_scientific_journal-1184	101	63	)	)	PUNCT
american_scientific_journal-1184	101	64	.	.	PUNCT
american_scientific_journal-1184	102	1	figures	figure	NOUN
american_scientific_journal-1184	102	2	6	6	NUM
american_scientific_journal-1184	102	3	-	-	SYM
american_scientific_journal-1184	102	4	9	9	NUM
american_scientific_journal-1184	102	5	show	show	VERB
american_scientific_journal-1184	102	6	the	the	DET
american_scientific_journal-1184	102	7	variation	variation	NOUN
american_scientific_journal-1184	102	8	of	of	ADP
american_scientific_journal-1184	102	9	springback	springback	NOUN
american_scientific_journal-1184	102	10	ratio	ratio	NOUN
american_scientific_journal-1184	102	11	with	with	ADP
american_scientific_journal-1184	102	12	(	(	PUNCT
american_scientific_journal-1184	102	13	ro	ro	X
american_scientific_journal-1184	102	14	/	/	SYM
american_scientific_journal-1184	102	15	h	h	NOUN
american_scientific_journal-1184	102	16	)	)	PUNCT
american_scientific_journal-1184	102	17	and	and	CCONJ
american_scientific_journal-1184	102	18	different	different	ADJ
american_scientific_journal-1184	102	19	values	value	NOUN
american_scientific_journal-1184	102	20	of	of	ADP
american_scientific_journal-1184	102	21	(	(	PUNCT
american_scientific_journal-1184	102	22	y	y	PROPN
american_scientific_journal-1184	102	23	/	/	SYM
american_scientific_journal-1184	102	24	e	e	NOUN
american_scientific_journal-1184	102	25	)	)	PUNCT
american_scientific_journal-1184	102	26	at	at	ADP
american_scientific_journal-1184	102	27	constant	constant	ADJ
american_scientific_journal-1184	102	28	value	value	NOUN
american_scientific_journal-1184	102	29	of	of	ADP
american_scientific_journal-1184	102	30	α=	α=	NOUN
american_scientific_journal-1184	102	31	0.9	0.9	NUM
american_scientific_journal-1184	102	32	and	and	CCONJ
american_scientific_journal-1184	102	33	β=	β=	NOUN
american_scientific_journal-1184	102	34	0.8	0.8	NUM
american_scientific_journal-1184	102	35	with	with	ADP
american_scientific_journal-1184	102	36	different	different	ADJ
american_scientific_journal-1184	102	37	values	value	NOUN
american_scientific_journal-1184	102	38	of	of	ADP
american_scientific_journal-1184	102	39	n	n	PROPN
american_scientific_journal-1184	102	40	(	(	PUNCT
american_scientific_journal-1184	102	41	strain	strain	VERB
american_scientific_journal-1184	102	42	hardening	harden	VERB
american_scientific_journal-1184	102	43	exponent).it	exponent).it	NOUN
american_scientific_journal-1184	102	44	addition	addition	NOUN
american_scientific_journal-1184	102	45	,	,	PUNCT
american_scientific_journal-1184	102	46	it	it	PRON
american_scientific_journal-1184	102	47	was	be	AUX
american_scientific_journal-1184	102	48	noticed	notice	VERB
american_scientific_journal-1184	102	49	that	that	SCONJ
american_scientific_journal-1184	102	50	the	the	DET
american_scientific_journal-1184	102	51	springback	springback	NOUN
american_scientific_journal-1184	102	52	ratio	ratio	NOUN
american_scientific_journal-1184	102	53	(	(	PUNCT
american_scientific_journal-1184	102	54	ro	ro	X
american_scientific_journal-1184	102	55	/	/	SYM
american_scientific_journal-1184	102	56	rf	rf	NOUN
american_scientific_journal-1184	102	57	)	)	PUNCT
american_scientific_journal-1184	102	58	decreases	decrease	VERB
american_scientific_journal-1184	102	59	with	with	ADP
american_scientific_journal-1184	102	60	the	the	DET
american_scientific_journal-1184	102	61	increasing	increasing	NOUN
american_scientific_journal-1184	102	62	of	of	ADP
american_scientific_journal-1184	102	63	the	the	DET
american_scientific_journal-1184	102	64	value	value	NOUN
american_scientific_journal-1184	102	65	of	of	ADP
american_scientific_journal-1184	102	66	(	(	PUNCT
american_scientific_journal-1184	102	67	y	y	PROPN
american_scientific_journal-1184	102	68	/	/	SYM
american_scientific_journal-1184	102	69	e	e	NOUN
american_scientific_journal-1184	102	70	)	)	PUNCT
american_scientific_journal-1184	102	71	as	as	ADV
american_scientific_journal-1184	102	72	well	well	ADV
american_scientific_journal-1184	102	73	as	as	ADP
american_scientific_journal-1184	102	74	the	the	DET
american_scientific_journal-1184	102	75	value	value	NOUN
american_scientific_journal-1184	102	76	of	of	ADP
american_scientific_journal-1184	102	77	(	(	PUNCT
american_scientific_journal-1184	102	78	n	n	CCONJ
american_scientific_journal-1184	102	79	)	)	PUNCT
american_scientific_journal-1184	102	80	(	(	PUNCT
american_scientific_journal-1184	102	81	strain	strain	VERB
american_scientific_journal-1184	102	82	hardening	harden	VERB
american_scientific_journal-1184	102	83	exponent).whereas	exponent).whereas	ADJ
american_scientific_journal-1184	102	84	figures	figure	NOUN
american_scientific_journal-1184	102	85	10	10	NUM
american_scientific_journal-1184	102	86	-	-	SYM
american_scientific_journal-1184	102	87	12	12	NUM
american_scientific_journal-1184	102	88	show	show	VERB
american_scientific_journal-1184	102	89	the	the	DET
american_scientific_journal-1184	102	90	variation	variation	NOUN
american_scientific_journal-1184	102	91	of	of	ADP
american_scientific_journal-1184	102	92	the	the	DET
american_scientific_journal-1184	102	93	springback	springback	NOUN
american_scientific_journal-1184	102	94	ratio	ratio	NOUN
american_scientific_journal-1184	102	95	(	(	PUNCT
american_scientific_journal-1184	102	96	ro	ro	X
american_scientific_journal-1184	102	97	/	/	SYM
american_scientific_journal-1184	102	98	rf	rf	NOUN
american_scientific_journal-1184	102	99	)	)	PUNCT
american_scientific_journal-1184	102	100	at	at	ADP
american_scientific_journal-1184	102	101	constant	constant	ADJ
american_scientific_journal-1184	102	102	value	value	NOUN
american_scientific_journal-1184	102	103	of	of	ADP
american_scientific_journal-1184	102	104	α=	α=	NOUN
american_scientific_journal-1184	102	105	0.9	0.9	NUM
american_scientific_journal-1184	102	106	and	and	CCONJ
american_scientific_journal-1184	102	107	β=	β=	NOUN
american_scientific_journal-1184	103	1	0.8with	0.8with	NUM
american_scientific_journal-1184	103	2	different	different	ADJ
american_scientific_journal-1184	103	3	195	195	NUM
american_scientific_journal-1184	103	4	american	american	ADJ
american_scientific_journal-1184	103	5	scientific	scientific	ADJ
american_scientific_journal-1184	103	6	research	research	NOUN
american_scientific_journal-1184	103	7	journal	journal	NOUN
american_scientific_journal-1184	103	8	for	for	ADP
american_scientific_journal-1184	103	9	engineering	engineering	NOUN
american_scientific_journal-1184	103	10	,	,	PUNCT
american_scientific_journal-1184	103	11	technology	technology	NOUN
american_scientific_journal-1184	103	12	,	,	PUNCT
american_scientific_journal-1184	103	13	and	and	CCONJ
american_scientific_journal-1184	103	14	sciences	science	NOUN
american_scientific_journal-1184	103	15	(	(	PUNCT
american_scientific_journal-1184	103	16	asrjets	asrjet	NOUN
american_scientific_journal-1184	103	17	)	)	PUNCT
american_scientific_journal-1184	103	18	(	(	PUNCT
american_scientific_journal-1184	103	19	2015	2015	NUM
american_scientific_journal-1184	103	20	)	)	PUNCT
american_scientific_journal-1184	103	21	volume	volume	NOUN
american_scientific_journal-1184	103	22	14	14	NUM
american_scientific_journal-1184	103	23	,	,	PUNCT
american_scientific_journal-1184	103	24	no	no	DET
american_scientific_journal-1184	103	25	3	3	NUM
american_scientific_journal-1184	103	26	,	,	PUNCT
american_scientific_journal-1184	103	27	pp	pp	ADV
american_scientific_journal-1184	103	28	187	187	NUM
american_scientific_journal-1184	103	29	-	-	SYM
american_scientific_journal-1184	103	30	201	201	NUM
american_scientific_journal-1184	103	31	values	value	NOUN
american_scientific_journal-1184	103	32	of	of	ADP
american_scientific_journal-1184	103	33	poisson	poisson	NOUN
american_scientific_journal-1184	103	34	's	's	PART
american_scientific_journal-1184	103	35	ratio	ratio	NOUN
american_scientific_journal-1184	103	36	(	(	PUNCT
american_scientific_journal-1184	103	37	ν	ν	NOUN
american_scientific_journal-1184	103	38	)	)	PUNCT
american_scientific_journal-1184	103	39	and	and	CCONJ
american_scientific_journal-1184	103	40	at	at	ADP
american_scientific_journal-1184	103	41	fixed	fix	VERB
american_scientific_journal-1184	103	42	value	value	NOUN
american_scientific_journal-1184	103	43	of	of	ADP
american_scientific_journal-1184	103	44	(	(	PUNCT
american_scientific_journal-1184	103	45	y	y	PROPN
american_scientific_journal-1184	103	46	/	/	SYM
american_scientific_journal-1184	103	47	e	e	NOUN
american_scientific_journal-1184	103	48	)	)	PUNCT
american_scientific_journal-1184	103	49	(	(	PUNCT
american_scientific_journal-1184	103	50	5.5x10	5.5x10	NUM
american_scientific_journal-1184	103	51	-	-	SYM
american_scientific_journal-1184	103	52	4	4	NUM
american_scientific_journal-1184	103	53	,	,	PUNCT
american_scientific_journal-1184	103	54	1.522x10	1.522x10	NUM
american_scientific_journal-1184	103	55	-	-	SYM
american_scientific_journal-1184	103	56	3	3	NUM
american_scientific_journal-1184	103	57	and	and	CCONJ
american_scientific_journal-1184	103	58	2.4x10	2.4x10	NUM
american_scientific_journal-1184	103	59	-	-	NOUN
american_scientific_journal-1184	103	60	3	3	NUM
american_scientific_journal-1184	103	61	)	)	PUNCT
american_scientific_journal-1184	103	62	.	.	PUNCT
american_scientific_journal-1184	104	1	it	it	PRON
american_scientific_journal-1184	104	2	was	be	AUX
american_scientific_journal-1184	104	3	confirmed	confirm	VERB
american_scientific_journal-1184	104	4	that	that	SCONJ
american_scientific_journal-1184	104	5	the	the	DET
american_scientific_journal-1184	104	6	springback	springback	NOUN
american_scientific_journal-1184	104	7	ratio	ratio	NOUN
american_scientific_journal-1184	104	8	(	(	PUNCT
american_scientific_journal-1184	104	9	ro	ro	X
american_scientific_journal-1184	104	10	/	/	SYM
american_scientific_journal-1184	104	11	rf	rf	NOUN
american_scientific_journal-1184	104	12	)	)	PUNCT
american_scientific_journal-1184	104	13	increases	increase	VERB
american_scientific_journal-1184	104	14	with	with	ADP
american_scientific_journal-1184	104	15	the	the	DET
american_scientific_journal-1184	104	16	increasing	increasing	NOUN
american_scientific_journal-1184	104	17	of	of	ADP
american_scientific_journal-1184	104	18	the	the	DET
american_scientific_journal-1184	104	19	value	value	NOUN
american_scientific_journal-1184	104	20	of	of	ADP
american_scientific_journal-1184	104	21	(	(	PUNCT
american_scientific_journal-1184	104	22	ν	ν	NOUN
american_scientific_journal-1184	104	23	)	)	PUNCT
american_scientific_journal-1184	104	24	.	.	PUNCT
american_scientific_journal-1184	105	1	figures	figure	NOUN
american_scientific_journal-1184	105	2	12	12	NUM
american_scientific_journal-1184	105	3	-	-	SYM
american_scientific_journal-1184	105	4	15	15	NUM
american_scientific_journal-1184	105	5	show	show	VERB
american_scientific_journal-1184	105	6	the	the	DET
american_scientific_journal-1184	105	7	variation	variation	NOUN
american_scientific_journal-1184	105	8	of	of	ADP
american_scientific_journal-1184	105	9	the	the	DET
american_scientific_journal-1184	105	10	springback	springback	NOUN
american_scientific_journal-1184	105	11	ratio	ratio	NOUN
american_scientific_journal-1184	105	12	(	(	PUNCT
american_scientific_journal-1184	105	13	ro	ro	X
american_scientific_journal-1184	105	14	/	/	SYM
american_scientific_journal-1184	105	15	rf	rf	NOUN
american_scientific_journal-1184	105	16	)	)	PUNCT
american_scientific_journal-1184	105	17	with	with	ADP
american_scientific_journal-1184	105	18	different	different	ADJ
american_scientific_journal-1184	105	19	values	value	NOUN
american_scientific_journal-1184	105	20	of	of	ADP
american_scientific_journal-1184	105	21	(	(	PUNCT
american_scientific_journal-1184	105	22	h	h	NOUN
american_scientific_journal-1184	105	23	)	)	PUNCT
american_scientific_journal-1184	105	24	(	(	PUNCT
american_scientific_journal-1184	105	25	the	the	DET
american_scientific_journal-1184	105	26	height	height	NOUN
american_scientific_journal-1184	105	27	of	of	ADP
american_scientific_journal-1184	105	28	the	the	DET
american_scientific_journal-1184	105	29	beam	beam	NOUN
american_scientific_journal-1184	105	30	)	)	PUNCT
american_scientific_journal-1184	105	31	as	as	ADV
american_scientific_journal-1184	105	32	well	well	ADV
american_scientific_journal-1184	105	33	as	as	ADP
american_scientific_journal-1184	105	34	different	different	ADJ
american_scientific_journal-1184	105	35	values	value	NOUN
american_scientific_journal-1184	105	36	of	of	ADP
american_scientific_journal-1184	105	37	n=0.1	n=0.1	ADJ
american_scientific_journal-1184	105	38	,	,	PUNCT
american_scientific_journal-1184	105	39	0.2	0.2	NUM
american_scientific_journal-1184	105	40	,	,	PUNCT
american_scientific_journal-1184	105	41	0.3	0.3	NUM
american_scientific_journal-1184	105	42	and	and	CCONJ
american_scientific_journal-1184	105	43	0.4	0.4	NUM
american_scientific_journal-1184	105	44	and	and	CCONJ
american_scientific_journal-1184	105	45	ro=	ro=	PROPN
american_scientific_journal-1184	105	46	40	40	NUM
american_scientific_journal-1184	105	47	,	,	PUNCT
american_scientific_journal-1184	105	48	β=	β=	VERB
american_scientific_journal-1184	105	49	0.8	0.8	NUM
american_scientific_journal-1184	105	50	,	,	PUNCT
american_scientific_journal-1184	105	51	ν=0.33.it	ν=0.33.it	PROPN
american_scientific_journal-1184	105	52	could	could	AUX
american_scientific_journal-1184	105	53	be	be	AUX
american_scientific_journal-1184	105	54	noticed	notice	VERB
american_scientific_journal-1184	105	55	that	that	SCONJ
american_scientific_journal-1184	105	56	the	the	DET
american_scientific_journal-1184	105	57	rate	rate	NOUN
american_scientific_journal-1184	105	58	of	of	ADP
american_scientific_journal-1184	105	59	the	the	DET
american_scientific_journal-1184	105	60	springback	springback	NOUN
american_scientific_journal-1184	105	61	ratio	ratio	NOUN
american_scientific_journal-1184	105	62	is	be	AUX
american_scientific_journal-1184	105	63	increasing	increase	VERB
american_scientific_journal-1184	105	64	rapidly	rapidly	ADV
american_scientific_journal-1184	105	65	from	from	ADP
american_scientific_journal-1184	105	66	range	range	NOUN
american_scientific_journal-1184	105	67	1	1	NUM
american_scientific_journal-1184	105	68	to	to	ADP
american_scientific_journal-1184	105	69	2	2	NUM
american_scientific_journal-1184	105	70	,	,	PUNCT
american_scientific_journal-1184	105	71	then	then	ADV
american_scientific_journal-1184	105	72	it	it	PRON
american_scientific_journal-1184	105	73	becomes	become	VERB
american_scientific_journal-1184	105	74	gradually	gradually	ADV
american_scientific_journal-1184	105	75	less	less	ADJ
american_scientific_journal-1184	105	76	after	after	ADP
american_scientific_journal-1184	105	77	wards	ward	NOUN
american_scientific_journal-1184	105	78	.	.	PUNCT
american_scientific_journal-1184	106	1	figure	figure	VERB
american_scientific_journal-1184	106	2	4	4	NUM
american_scientific_journal-1184	106	3	:	:	PUNCT
american_scientific_journal-1184	106	4	the	the	DET
american_scientific_journal-1184	106	5	springback	springback	NOUN
american_scientific_journal-1184	106	6	ratio	ratio	NOUN
american_scientific_journal-1184	106	7	with	with	ADP
american_scientific_journal-1184	106	8	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	9	different	different	ADJ
american_scientific_journal-1184	106	10	values	value	NOUN
american_scientific_journal-1184	106	11	of	of	ADP
american_scientific_journal-1184	106	12	n	n	PRON
american_scientific_journal-1184	106	13	at	at	ADP
american_scientific_journal-1184	106	14	y	y	NOUN
american_scientific_journal-1184	106	15	/	/	SYM
american_scientific_journal-1184	106	16	e=1.5	e=1.5	NOUN
american_scientific_journal-1184	106	17	*	*	NOUN
american_scientific_journal-1184	106	18	10	10	NUM
american_scientific_journal-1184	106	19	-	-	PUNCT
american_scientific_journal-1184	106	20	3,𝒱𝒱	3,𝒱𝒱	VERB
american_scientific_journal-1184	106	21	=	=	SYM
american_scientific_journal-1184	106	22	0.33	0.33	NUM
american_scientific_journal-1184	106	23	figure	figure	NOUN
american_scientific_journal-1184	106	24	5	5	NUM
american_scientific_journal-1184	106	25	:	:	PUNCT
american_scientific_journal-1184	106	26	the	the	DET
american_scientific_journal-1184	106	27	springback	springback	NOUN
american_scientific_journal-1184	106	28	ratio	ratio	NOUN
american_scientific_journal-1184	106	29	with	with	ADP
american_scientific_journal-1184	106	30	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	31	different	different	ADJ
american_scientific_journal-1184	106	32	values	value	NOUN
american_scientific_journal-1184	106	33	of	of	ADP
american_scientific_journal-1184	106	34	n	n	PRON
american_scientific_journal-1184	106	35	at	at	ADP
american_scientific_journal-1184	106	36	y	y	PROPN
american_scientific_journal-1184	106	37	/	/	SYM
american_scientific_journal-1184	106	38	e=2.4	e=2.4	NOUN
american_scientific_journal-1184	106	39	*	*	NUM
american_scientific_journal-1184	106	40	10	10	NUM
american_scientific_journal-1184	106	41	-	-	NUM
american_scientific_journal-1184	106	42	3,𝒱𝒱	3,𝒱𝒱	VERB
american_scientific_journal-1184	106	43	=	=	SYM
american_scientific_journal-1184	106	44	0.33	0.33	NUM
american_scientific_journal-1184	106	45	196	196	NUM
american_scientific_journal-1184	106	46	american	american	ADJ
american_scientific_journal-1184	106	47	scientific	scientific	ADJ
american_scientific_journal-1184	106	48	research	research	NOUN
american_scientific_journal-1184	106	49	journal	journal	NOUN
american_scientific_journal-1184	106	50	for	for	ADP
american_scientific_journal-1184	106	51	engineering	engineering	NOUN
american_scientific_journal-1184	106	52	,	,	PUNCT
american_scientific_journal-1184	106	53	technology	technology	NOUN
american_scientific_journal-1184	106	54	,	,	PUNCT
american_scientific_journal-1184	106	55	and	and	CCONJ
american_scientific_journal-1184	106	56	sciences	science	NOUN
american_scientific_journal-1184	106	57	(	(	PUNCT
american_scientific_journal-1184	106	58	asrjets	asrjet	NOUN
american_scientific_journal-1184	106	59	)	)	PUNCT
american_scientific_journal-1184	106	60	(	(	PUNCT
american_scientific_journal-1184	106	61	2015	2015	NUM
american_scientific_journal-1184	106	62	)	)	PUNCT
american_scientific_journal-1184	106	63	volume	volume	NOUN
american_scientific_journal-1184	106	64	14	14	NUM
american_scientific_journal-1184	106	65	,	,	PUNCT
american_scientific_journal-1184	106	66	no	no	DET
american_scientific_journal-1184	106	67	3	3	NUM
american_scientific_journal-1184	106	68	,	,	PUNCT
american_scientific_journal-1184	106	69	pp	pp	ADV
american_scientific_journal-1184	106	70	187	187	NUM
american_scientific_journal-1184	106	71	-	-	SYM
american_scientific_journal-1184	106	72	201	201	NUM
american_scientific_journal-1184	106	73	figure	figure	NOUN
american_scientific_journal-1184	106	74	6	6	NUM
american_scientific_journal-1184	106	75	:	:	PUNCT
american_scientific_journal-1184	106	76	the	the	DET
american_scientific_journal-1184	106	77	springback	springback	NOUN
american_scientific_journal-1184	106	78	ratio	ratio	NOUN
american_scientific_journal-1184	106	79	with	with	ADP
american_scientific_journal-1184	106	80	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	81	different	different	ADJ
american_scientific_journal-1184	106	82	values	value	NOUN
american_scientific_journal-1184	106	83	of	of	ADP
american_scientific_journal-1184	106	84	y	y	PROPN
american_scientific_journal-1184	106	85	/	/	SYM
american_scientific_journal-1184	106	86	e	e	X
american_scientific_journal-1184	106	87	at	at	ADP
american_scientific_journal-1184	106	88	n=0.1,𝒱𝒱	n=0.1,𝒱𝒱	NUM
american_scientific_journal-1184	106	89	=	=	SYM
american_scientific_journal-1184	106	90	0.33	0.33	NUM
american_scientific_journal-1184	106	91	figure	figure	NOUN
american_scientific_journal-1184	106	92	7	7	NUM
american_scientific_journal-1184	106	93	:	:	PUNCT
american_scientific_journal-1184	106	94	the	the	DET
american_scientific_journal-1184	106	95	springback	springback	NOUN
american_scientific_journal-1184	106	96	ratio	ratio	NOUN
american_scientific_journal-1184	106	97	with	with	ADP
american_scientific_journal-1184	106	98	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	99	different	different	ADJ
american_scientific_journal-1184	106	100	values	value	NOUN
american_scientific_journal-1184	106	101	of	of	ADP
american_scientific_journal-1184	106	102	y	y	PROPN
american_scientific_journal-1184	106	103	/	/	SYM
american_scientific_journal-1184	106	104	e	e	NOUN
american_scientific_journal-1184	106	105	at	at	ADP
american_scientific_journal-1184	106	106	n=0.2,𝒱𝒱	n=0.2,𝒱𝒱	VERB
american_scientific_journal-1184	106	107	=	=	SYM
american_scientific_journal-1184	106	108	0.33	0.33	NUM
american_scientific_journal-1184	106	109	figure	figure	NOUN
american_scientific_journal-1184	106	110	8	8	NUM
american_scientific_journal-1184	106	111	:	:	PUNCT
american_scientific_journal-1184	106	112	the	the	DET
american_scientific_journal-1184	106	113	springback	springback	NOUN
american_scientific_journal-1184	106	114	ratio	ratio	NOUN
american_scientific_journal-1184	106	115	with	with	ADP
american_scientific_journal-1184	106	116	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	117	different	different	ADJ
american_scientific_journal-1184	106	118	values	value	NOUN
american_scientific_journal-1184	106	119	of	of	ADP
american_scientific_journal-1184	106	120	y	y	PROPN
american_scientific_journal-1184	106	121	/	/	SYM
american_scientific_journal-1184	106	122	e	e	NOUN
american_scientific_journal-1184	106	123	at	at	ADP
american_scientific_journal-1184	106	124	n=0.3,𝒱𝒱	n=0.3,𝒱𝒱	NOUN
american_scientific_journal-1184	106	125	=	=	SYM
american_scientific_journal-1184	106	126	0.33	0.33	NUM
american_scientific_journal-1184	106	127	197	197	NUM
american_scientific_journal-1184	106	128	american	american	ADJ
american_scientific_journal-1184	106	129	scientific	scientific	ADJ
american_scientific_journal-1184	106	130	research	research	NOUN
american_scientific_journal-1184	106	131	journal	journal	NOUN
american_scientific_journal-1184	106	132	for	for	ADP
american_scientific_journal-1184	106	133	engineering	engineering	NOUN
american_scientific_journal-1184	106	134	,	,	PUNCT
american_scientific_journal-1184	106	135	technology	technology	NOUN
american_scientific_journal-1184	106	136	,	,	PUNCT
american_scientific_journal-1184	106	137	and	and	CCONJ
american_scientific_journal-1184	106	138	sciences	science	NOUN
american_scientific_journal-1184	106	139	(	(	PUNCT
american_scientific_journal-1184	106	140	asrjets	asrjet	NOUN
american_scientific_journal-1184	106	141	)	)	PUNCT
american_scientific_journal-1184	106	142	(	(	PUNCT
american_scientific_journal-1184	106	143	2015	2015	NUM
american_scientific_journal-1184	106	144	)	)	PUNCT
american_scientific_journal-1184	106	145	volume	volume	NOUN
american_scientific_journal-1184	106	146	14	14	NUM
american_scientific_journal-1184	106	147	,	,	PUNCT
american_scientific_journal-1184	106	148	no	no	DET
american_scientific_journal-1184	106	149	3	3	NUM
american_scientific_journal-1184	106	150	,	,	PUNCT
american_scientific_journal-1184	106	151	pp	pp	ADV
american_scientific_journal-1184	106	152	187	187	NUM
american_scientific_journal-1184	106	153	-	-	SYM
american_scientific_journal-1184	106	154	201	201	NUM
american_scientific_journal-1184	106	155	figure	figure	NOUN
american_scientific_journal-1184	106	156	9	9	NUM
american_scientific_journal-1184	106	157	:	:	PUNCT
american_scientific_journal-1184	106	158	the	the	DET
american_scientific_journal-1184	106	159	springback	springback	NOUN
american_scientific_journal-1184	106	160	ratio	ratio	NOUN
american_scientific_journal-1184	106	161	with	with	ADP
american_scientific_journal-1184	106	162	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	163	different	different	ADJ
american_scientific_journal-1184	106	164	values	value	NOUN
american_scientific_journal-1184	106	165	of	of	ADP
american_scientific_journal-1184	106	166	y	y	PROPN
american_scientific_journal-1184	106	167	/	/	SYM
american_scientific_journal-1184	106	168	e	e	NOUN
american_scientific_journal-1184	106	169	at	at	ADP
american_scientific_journal-1184	106	170	n=0.4,𝒱𝒱	n=0.4,𝒱𝒱	ADJ
american_scientific_journal-1184	106	171	=	=	SYM
american_scientific_journal-1184	106	172	0.33	0.33	NUM
american_scientific_journal-1184	106	173	figure	figure	NOUN
american_scientific_journal-1184	106	174	10	10	NUM
american_scientific_journal-1184	106	175	:	:	PUNCT
american_scientific_journal-1184	106	176	the	the	DET
american_scientific_journal-1184	106	177	springback	springback	NOUN
american_scientific_journal-1184	106	178	ratio	ratio	NOUN
american_scientific_journal-1184	106	179	with	with	ADP
american_scientific_journal-1184	106	180	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	181	different	different	ADJ
american_scientific_journal-1184	106	182	values	value	NOUN
american_scientific_journal-1184	106	183	of	of	ADP
american_scientific_journal-1184	106	184	ν	ν	NOUN
american_scientific_journal-1184	106	185	at	at	ADP
american_scientific_journal-1184	106	186	y	y	PROPN
american_scientific_journal-1184	106	187	/	/	SYM
american_scientific_journal-1184	106	188	e=5.5	e=5.5	NOUN
american_scientific_journal-1184	106	189	*	*	NOUN
american_scientific_journal-1184	106	190	10	10	NUM
american_scientific_journal-1184	106	191	-	-	SYM
american_scientific_journal-1184	106	192	4	4	NUM
american_scientific_journal-1184	106	193	figure	figure	NOUN
american_scientific_journal-1184	106	194	11	11	NUM
american_scientific_journal-1184	106	195	:	:	PUNCT
american_scientific_journal-1184	106	196	the	the	DET
american_scientific_journal-1184	106	197	springback	springback	NOUN
american_scientific_journal-1184	106	198	ratio	ratio	NOUN
american_scientific_journal-1184	106	199	with	with	ADP
american_scientific_journal-1184	106	200	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	201	different	different	ADJ
american_scientific_journal-1184	106	202	values	value	NOUN
american_scientific_journal-1184	106	203	of	of	ADP
american_scientific_journal-1184	106	204	ν	ν	NOUN
american_scientific_journal-1184	106	205	at	at	ADP
american_scientific_journal-1184	106	206	y	y	NOUN
american_scientific_journal-1184	106	207	/	/	SYM
american_scientific_journal-1184	106	208	e=1.5	e=1.5	NOUN
american_scientific_journal-1184	106	209	*	*	NOUN
american_scientific_journal-1184	106	210	10	10	NUM
american_scientific_journal-1184	106	211	-	-	SYM
american_scientific_journal-1184	106	212	3	3	NUM
american_scientific_journal-1184	106	213	198	198	NUM
american_scientific_journal-1184	106	214	american	american	ADJ
american_scientific_journal-1184	106	215	scientific	scientific	ADJ
american_scientific_journal-1184	106	216	research	research	NOUN
american_scientific_journal-1184	106	217	journal	journal	NOUN
american_scientific_journal-1184	106	218	for	for	ADP
american_scientific_journal-1184	106	219	engineering	engineering	NOUN
american_scientific_journal-1184	106	220	,	,	PUNCT
american_scientific_journal-1184	106	221	technology	technology	NOUN
american_scientific_journal-1184	106	222	,	,	PUNCT
american_scientific_journal-1184	106	223	and	and	CCONJ
american_scientific_journal-1184	106	224	sciences	science	NOUN
american_scientific_journal-1184	106	225	(	(	PUNCT
american_scientific_journal-1184	106	226	asrjets	asrjet	NOUN
american_scientific_journal-1184	106	227	)	)	PUNCT
american_scientific_journal-1184	106	228	(	(	PUNCT
american_scientific_journal-1184	106	229	2015	2015	NUM
american_scientific_journal-1184	106	230	)	)	PUNCT
american_scientific_journal-1184	106	231	volume	volume	NOUN
american_scientific_journal-1184	106	232	14	14	NUM
american_scientific_journal-1184	106	233	,	,	PUNCT
american_scientific_journal-1184	106	234	no	no	DET
american_scientific_journal-1184	106	235	3	3	NUM
american_scientific_journal-1184	106	236	,	,	PUNCT
american_scientific_journal-1184	106	237	pp	pp	ADV
american_scientific_journal-1184	106	238	187	187	NUM
american_scientific_journal-1184	106	239	-	-	SYM
american_scientific_journal-1184	106	240	201	201	NUM
american_scientific_journal-1184	106	241	figure	figure	NOUN
american_scientific_journal-1184	106	242	12	12	NUM
american_scientific_journal-1184	106	243	:	:	PUNCT
american_scientific_journal-1184	106	244	the	the	DET
american_scientific_journal-1184	106	245	springback	springback	NOUN
american_scientific_journal-1184	106	246	ratio	ratio	NOUN
american_scientific_journal-1184	106	247	with	with	ADP
american_scientific_journal-1184	106	248	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	249	different	different	ADJ
american_scientific_journal-1184	106	250	values	value	NOUN
american_scientific_journal-1184	106	251	of	of	ADP
american_scientific_journal-1184	106	252	ν	ν	NOUN
american_scientific_journal-1184	106	253	at	at	ADP
american_scientific_journal-1184	106	254	y	y	NOUN
american_scientific_journal-1184	106	255	/	/	SYM
american_scientific_journal-1184	106	256	e=2.4	e=2.4	NOUN
american_scientific_journal-1184	106	257	*	*	NUM
american_scientific_journal-1184	106	258	10	10	NUM
american_scientific_journal-1184	106	259	-	-	SYM
american_scientific_journal-1184	106	260	3	3	NUM
american_scientific_journal-1184	106	261	figure	figure	NOUN
american_scientific_journal-1184	106	262	13	13	NUM
american_scientific_journal-1184	106	263	:	:	PUNCT
american_scientific_journal-1184	106	264	the	the	DET
american_scientific_journal-1184	106	265	springback	springback	NOUN
american_scientific_journal-1184	106	266	ratio	ratio	NOUN
american_scientific_journal-1184	106	267	with	with	ADP
american_scientific_journal-1184	106	268	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	269	different	different	ADJ
american_scientific_journal-1184	106	270	values	value	NOUN
american_scientific_journal-1184	106	271	of	of	ADP
american_scientific_journal-1184	106	272	n	n	PRON
american_scientific_journal-1184	106	273	at	at	ADP
american_scientific_journal-1184	106	274	y	y	PROPN
american_scientific_journal-1184	106	275	/	/	SYM
american_scientific_journal-1184	106	276	e=5.5	e=5.5	NOUN
american_scientific_journal-1184	106	277	*	*	NOUN
american_scientific_journal-1184	106	278	10	10	NUM
american_scientific_journal-1184	106	279	-	-	SYM
american_scientific_journal-1184	106	280	4	4	NUM
american_scientific_journal-1184	106	281	figure	figure	NOUN
american_scientific_journal-1184	106	282	14	14	NUM
american_scientific_journal-1184	106	283	:	:	PUNCT
american_scientific_journal-1184	106	284	the	the	DET
american_scientific_journal-1184	106	285	springback	springback	NOUN
american_scientific_journal-1184	106	286	ratio	ratio	NOUN
american_scientific_journal-1184	106	287	with	with	ADP
american_scientific_journal-1184	106	288	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	289	different	different	ADJ
american_scientific_journal-1184	106	290	values	value	NOUN
american_scientific_journal-1184	106	291	of	of	ADP
american_scientific_journal-1184	106	292	n	n	PRON
american_scientific_journal-1184	106	293	at	at	ADP
american_scientific_journal-1184	106	294	y	y	NOUN
american_scientific_journal-1184	106	295	/	/	SYM
american_scientific_journal-1184	106	296	e=1.5	e=1.5	NOUN
american_scientific_journal-1184	106	297	*	*	NOUN
american_scientific_journal-1184	106	298	10	10	NUM
american_scientific_journal-1184	106	299	-	-	SYM
american_scientific_journal-1184	106	300	3	3	NUM
american_scientific_journal-1184	106	301	199	199	NUM
american_scientific_journal-1184	106	302	american	american	ADJ
american_scientific_journal-1184	106	303	scientific	scientific	ADJ
american_scientific_journal-1184	106	304	research	research	NOUN
american_scientific_journal-1184	106	305	journal	journal	NOUN
american_scientific_journal-1184	106	306	for	for	ADP
american_scientific_journal-1184	106	307	engineering	engineering	NOUN
american_scientific_journal-1184	106	308	,	,	PUNCT
american_scientific_journal-1184	106	309	technology	technology	NOUN
american_scientific_journal-1184	106	310	,	,	PUNCT
american_scientific_journal-1184	106	311	and	and	CCONJ
american_scientific_journal-1184	106	312	sciences	science	NOUN
american_scientific_journal-1184	106	313	(	(	PUNCT
american_scientific_journal-1184	106	314	asrjets	asrjet	NOUN
american_scientific_journal-1184	106	315	)	)	PUNCT
american_scientific_journal-1184	106	316	(	(	PUNCT
american_scientific_journal-1184	106	317	2015	2015	NUM
american_scientific_journal-1184	106	318	)	)	PUNCT
american_scientific_journal-1184	106	319	volume	volume	NOUN
american_scientific_journal-1184	106	320	14	14	NUM
american_scientific_journal-1184	106	321	,	,	PUNCT
american_scientific_journal-1184	106	322	no	no	DET
american_scientific_journal-1184	106	323	3	3	NUM
american_scientific_journal-1184	106	324	,	,	PUNCT
american_scientific_journal-1184	106	325	pp	pp	ADV
american_scientific_journal-1184	106	326	187	187	NUM
american_scientific_journal-1184	106	327	-	-	SYM
american_scientific_journal-1184	106	328	201	201	NUM
american_scientific_journal-1184	106	329	figure	figure	NOUN
american_scientific_journal-1184	106	330	15	15	NUM
american_scientific_journal-1184	106	331	:	:	PUNCT
american_scientific_journal-1184	106	332	the	the	DET
american_scientific_journal-1184	106	333	springback	springback	NOUN
american_scientific_journal-1184	106	334	ratio	ratio	NOUN
american_scientific_journal-1184	106	335	with	with	ADP
american_scientific_journal-1184	106	336	𝑅𝑅𝑜/𝐻with	𝑅𝑅𝑜/𝐻with	ADP
american_scientific_journal-1184	106	337	different	different	ADJ
american_scientific_journal-1184	106	338	values	value	NOUN
american_scientific_journal-1184	106	339	of	of	ADP
american_scientific_journal-1184	106	340	n	n	PRON
american_scientific_journal-1184	106	341	at	at	ADP
american_scientific_journal-1184	106	342	y	y	PROPN
american_scientific_journal-1184	106	343	/	/	SYM
american_scientific_journal-1184	106	344	e=2.4	e=2.4	NOUN
american_scientific_journal-1184	106	345	*	*	NUM
american_scientific_journal-1184	106	346	10	10	NUM
american_scientific_journal-1184	106	347	-	-	SYM
american_scientific_journal-1184	106	348	3	3	NUM
american_scientific_journal-1184	106	349	4	4	NUM
american_scientific_journal-1184	106	350	.	.	PUNCT
american_scientific_journal-1184	107	1	conclusions	conclusion	NOUN
american_scientific_journal-1184	107	2	the	the	DET
american_scientific_journal-1184	107	3	springback	springback	NOUN
american_scientific_journal-1184	107	4	equations	equation	NOUN
american_scientific_journal-1184	107	5	were	be	AUX
american_scientific_journal-1184	107	6	derived	derive	VERB
american_scientific_journal-1184	107	7	for	for	ADP
american_scientific_journal-1184	107	8	i	i	NOUN
american_scientific_journal-1184	107	9	-	-	PUNCT
american_scientific_journal-1184	107	10	section	section	NOUN
american_scientific_journal-1184	107	11	beams	beam	NOUN
american_scientific_journal-1184	107	12	taking	take	VERB
american_scientific_journal-1184	107	13	into	into	ADP
american_scientific_journal-1184	107	14	consideration	consideration	NOUN
american_scientific_journal-1184	107	15	the	the	DET
american_scientific_journal-1184	107	16	tresca	tresca	NOUN
american_scientific_journal-1184	107	17	criteria	criterion	NOUN
american_scientific_journal-1184	107	18	.	.	PUNCT
american_scientific_journal-1184	108	1	the	the	DET
american_scientific_journal-1184	108	2	springback	springback	NOUN
american_scientific_journal-1184	108	3	ratio	ratio	NOUN
american_scientific_journal-1184	108	4	for	for	ADP
american_scientific_journal-1184	108	5	𝑅𝑅𝑜𝑜/h	𝑅𝑅𝑜𝑜/h	NOUN
american_scientific_journal-1184	108	6	less	less	ADJ
american_scientific_journal-1184	108	7	than	than	ADP
american_scientific_journal-1184	108	8	20	20	NUM
american_scientific_journal-1184	108	9	,	,	PUNCT
american_scientific_journal-1184	108	10	is	be	AUX
american_scientific_journal-1184	108	11	assumed	assume	VERB
american_scientific_journal-1184	108	12	to	to	PART
american_scientific_journal-1184	108	13	be	be	AUX
american_scientific_journal-1184	108	14	slightly	slightly	ADV
american_scientific_journal-1184	108	15	insignificant	insignificant	ADJ
american_scientific_journal-1184	108	16	but	but	CCONJ
american_scientific_journal-1184	108	17	for	for	ADP
american_scientific_journal-1184	108	18	high	high	ADJ
american_scientific_journal-1184	108	19	values	value	NOUN
american_scientific_journal-1184	108	20	of	of	ADP
american_scientific_journal-1184	108	21	𝑅𝑅𝑜𝑜/𝑡𝑡or	𝑅𝑅𝑜𝑜/𝑡𝑡or	NOUN
american_scientific_journal-1184	108	22	more	more	ADJ
american_scientific_journal-1184	108	23	than	than	ADP
american_scientific_journal-1184	108	24	20	20	NUM
american_scientific_journal-1184	108	25	,	,	PUNCT
american_scientific_journal-1184	108	26	the	the	DET
american_scientific_journal-1184	108	27	differences	difference	NOUN
american_scientific_journal-1184	108	28	in	in	ADP
american_scientific_journal-1184	108	29	springback	springback	NOUN
american_scientific_journal-1184	108	30	ratio	ratio	NOUN
american_scientific_journal-1184	108	31	is	be	AUX
american_scientific_journal-1184	108	32	significant	significant	ADJ
american_scientific_journal-1184	108	33	.	.	PUNCT
american_scientific_journal-1184	109	1	moreover	moreover	ADV
american_scientific_journal-1184	109	2	,	,	PUNCT
american_scientific_journal-1184	109	3	the	the	DET
american_scientific_journal-1184	109	4	following	follow	VERB
american_scientific_journal-1184	109	5	conclusions	conclusion	NOUN
american_scientific_journal-1184	109	6	about	about	ADP
american_scientific_journal-1184	109	7	the	the	DET
american_scientific_journal-1184	109	8	springback	springback	NOUN
american_scientific_journal-1184	109	9	analysis	analysis	NOUN
american_scientific_journal-1184	109	10	in	in	ADP
american_scientific_journal-1184	109	11	i	i	NOUN
american_scientific_journal-1184	109	12	-	-	PUNCT
american_scientific_journal-1184	109	13	section	section	NOUN
american_scientific_journal-1184	109	14	beams	beam	NOUN
american_scientific_journal-1184	109	15	using	use	VERB
american_scientific_journal-1184	109	16	nonlinear	nonlinear	ADJ
american_scientific_journal-1184	109	17	constitutive	constitutive	ADJ
american_scientific_journal-1184	109	18	equation	equation	NOUN
american_scientific_journal-1184	109	19	are	be	AUX
american_scientific_journal-1184	109	20	discovered	discover	VERB
american_scientific_journal-1184	109	21	:	:	PUNCT
american_scientific_journal-1184	109	22	(	(	PUNCT
american_scientific_journal-1184	109	23	i	i	NOUN
american_scientific_journal-1184	109	24	)	)	PUNCT
american_scientific_journal-1184	109	25	the	the	DET
american_scientific_journal-1184	109	26	theoretical	theoretical	ADJ
american_scientific_journal-1184	109	27	analysis	analysis	NOUN
american_scientific_journal-1184	109	28	for	for	ADP
american_scientific_journal-1184	109	29	the	the	DET
american_scientific_journal-1184	109	30	i	i	PROPN
american_scientific_journal-1184	109	31	-	-	PUNCT
american_scientific_journal-1184	109	32	sections	section	NOUN
american_scientific_journal-1184	109	33	under	under	ADP
american_scientific_journal-1184	109	34	pure	pure	ADJ
american_scientific_journal-1184	109	35	bending	bending	NOUN
american_scientific_journal-1184	109	36	has	have	AUX
american_scientific_journal-1184	109	37	been	be	AUX
american_scientific_journal-1184	109	38	done	do	VERB
american_scientific_journal-1184	109	39	,	,	PUNCT
american_scientific_journal-1184	109	40	and	and	CCONJ
american_scientific_journal-1184	109	41	it	it	PRON
american_scientific_journal-1184	109	42	was	be	AUX
american_scientific_journal-1184	109	43	found	find	VERB
american_scientific_journal-1184	109	44	that	that	SCONJ
american_scientific_journal-1184	109	45	the	the	DET
american_scientific_journal-1184	109	46	prediction	prediction	NOUN
american_scientific_journal-1184	109	47	of	of	ADP
american_scientific_journal-1184	109	48	springback	springback	NOUN
american_scientific_journal-1184	109	49	was	be	AUX
american_scientific_journal-1184	109	50	quite	quite	ADV
american_scientific_journal-1184	109	51	successful	successful	ADJ
american_scientific_journal-1184	109	52	.	.	PUNCT
american_scientific_journal-1184	110	1	(	(	PUNCT
american_scientific_journal-1184	110	2	ii	ii	NOUN
american_scientific_journal-1184	110	3	)	)	PUNCT
american_scientific_journal-1184	110	4	springback	springback	NOUN
american_scientific_journal-1184	110	5	ratio	ratio	NOUN
american_scientific_journal-1184	110	6	increases	increase	NOUN
american_scientific_journal-1184	110	7	with	with	ADP
american_scientific_journal-1184	110	8	decreasing	decrease	VERB
american_scientific_journal-1184	110	9	the	the	DET
american_scientific_journal-1184	110	10	ratio	ratio	NOUN
american_scientific_journal-1184	110	11	of	of	ADP
american_scientific_journal-1184	110	12	the	the	DET
american_scientific_journal-1184	110	13	yield	yield	NOUN
american_scientific_journal-1184	110	14	point	point	NOUN
american_scientific_journal-1184	110	15	stress	stress	NOUN
american_scientific_journal-1184	110	16	to	to	ADP
american_scientific_journal-1184	110	17	young	young	PROPN
american_scientific_journal-1184	110	18	’s	’s	PART
american_scientific_journal-1184	110	19	modulus	modulus	NOUN
american_scientific_journal-1184	110	20	of	of	ADP
american_scientific_journal-1184	110	21	elasticity	elasticity	NOUN
american_scientific_journal-1184	110	22	(	(	PUNCT
american_scientific_journal-1184	110	23	iii	iii	NOUN
american_scientific_journal-1184	110	24	)	)	PUNCT
american_scientific_journal-1184	110	25	springback	springback	NOUN
american_scientific_journal-1184	110	26	ratio	ratio	NOUN
american_scientific_journal-1184	110	27	increases	increase	NOUN
american_scientific_journal-1184	110	28	with	with	ADP
american_scientific_journal-1184	110	29	increasing	increase	VERB
american_scientific_journal-1184	110	30	possion	possion	NOUN
american_scientific_journal-1184	110	31	’s	’s	PART
american_scientific_journal-1184	110	32	ratio	ratio	NOUN
american_scientific_journal-1184	110	33	.	.	PUNCT
american_scientific_journal-1184	111	1	(	(	PUNCT
american_scientific_journal-1184	111	2	iv	iv	X
american_scientific_journal-1184	111	3	)	)	PUNCT
american_scientific_journal-1184	111	4	springback	springback	NOUN
american_scientific_journal-1184	111	5	ratio	ratio	NOUN
american_scientific_journal-1184	111	6	increases	increase	NOUN
american_scientific_journal-1184	111	7	with	with	ADP
american_scientific_journal-1184	111	8	increasing	increase	VERB
american_scientific_journal-1184	111	9	beam	beam	NOUN
american_scientific_journal-1184	111	10	height	height	NOUN
american_scientific_journal-1184	111	11	(	(	PUNCT
american_scientific_journal-1184	111	12	v	v	NOUN
american_scientific_journal-1184	111	13	)	)	PUNCT
american_scientific_journal-1184	111	14	the	the	DET
american_scientific_journal-1184	111	15	elastic	elastic	ADJ
american_scientific_journal-1184	111	16	recovery	recovery	NOUN
american_scientific_journal-1184	111	17	is	be	AUX
american_scientific_journal-1184	111	18	found	find	VERB
american_scientific_journal-1184	111	19	to	to	PART
american_scientific_journal-1184	111	20	be	be	AUX
american_scientific_journal-1184	111	21	more	more	ADV
american_scientific_journal-1184	111	22	effective	effective	ADJ
american_scientific_journal-1184	111	23	with	with	ADP
american_scientific_journal-1184	111	24	decreasing	decrease	VERB
american_scientific_journal-1184	111	25	values	value	NOUN
american_scientific_journal-1184	111	26	of	of	ADP
american_scientific_journal-1184	111	27	work	work	NOUN
american_scientific_journal-1184	111	28	hardening	harden	VERB
american_scientific_journal-1184	111	29	coefficient	coefficient	NOUN
american_scientific_journal-1184	111	30	.	.	PUNCT
american_scientific_journal-1184	112	1	while	while	SCONJ
american_scientific_journal-1184	112	2	with	with	ADP
american_scientific_journal-1184	112	3	lower	low	ADJ
american_scientific_journal-1184	112	4	values	value	NOUN
american_scientific_journal-1184	112	5	of	of	ADP
american_scientific_journal-1184	112	6	n	n	CCONJ
american_scientific_journal-1184	112	7	,	,	PUNCT
american_scientific_journal-1184	112	8	the	the	DET
american_scientific_journal-1184	112	9	material	material	NOUN
american_scientific_journal-1184	112	10	will	will	AUX
american_scientific_journal-1184	112	11	approach	approach	VERB
american_scientific_journal-1184	112	12	an	an	DET
american_scientific_journal-1184	112	13	elasto	elasto	NOUN
american_scientific_journal-1184	112	14	-	-	PUNCT
american_scientific_journal-1184	112	15	ideal	ideal	ADJ
american_scientific_journal-1184	112	16	plastic	plastic	ADJ
american_scientific_journal-1184	112	17	behavior	behavior	NOUN
american_scientific_journal-1184	112	18	.	.	PUNCT
american_scientific_journal-1184	113	1	it	it	PRON
american_scientific_journal-1184	113	2	is	be	AUX
american_scientific_journal-1184	113	3	also	also	ADV
american_scientific_journal-1184	113	4	recommended	recommend	VERB
american_scientific_journal-1184	113	5	to	to	PART
american_scientific_journal-1184	113	6	investigate	investigate	VERB
american_scientific_journal-1184	113	7	the	the	DET
american_scientific_journal-1184	113	8	springback	springback	NOUN
american_scientific_journal-1184	113	9	behavior	behavior	NOUN
american_scientific_journal-1184	113	10	in	in	ADP
american_scientific_journal-1184	113	11	bending	bend	VERB
american_scientific_journal-1184	113	12	i	i	PROPN
american_scientific_journal-1184	113	13	-	-	PUNCT
american_scientific_journal-1184	113	14	sections	section	NOUN
american_scientific_journal-1184	113	15	with	with	ADP
american_scientific_journal-1184	113	16	another	another	DET
american_scientific_journal-1184	113	17	criteria	criterion	NOUN
american_scientific_journal-1184	113	18	such	such	ADJ
american_scientific_journal-1184	113	19	as	as	ADP
american_scientific_journal-1184	113	20	von	von	PROPN
american_scientific_journal-1184	113	21	mises	mises	PROPN
american_scientific_journal-1184	113	22	criteria	criteria	PROPN
american_scientific_journal-1184	113	23	.	.	PUNCT
american_scientific_journal-1184	114	1	references	reference	NOUN
american_scientific_journal-1184	114	2	[	[	X
american_scientific_journal-1184	114	3	1	1	NUM
american_scientific_journal-1184	114	4	]	]	X
american_scientific_journal-1184	114	5	y.h.moon	y.h.moon	NOUN
american_scientific_journal-1184	114	6	,	,	PUNCT
american_scientific_journal-1184	114	7	s.s	s.s	PROPN
american_scientific_journal-1184	114	8	.	.	PROPN
american_scientific_journal-1184	114	9	kang	kang	PROPN
american_scientific_journal-1184	114	10	,	,	PUNCT
american_scientific_journal-1184	114	11	j.r	j.r	PROPN
american_scientific_journal-1184	114	12	.	.	PROPN
american_scientific_journal-1184	114	13	cho	cho	PROPN
american_scientific_journal-1184	114	14	,	,	PUNCT
american_scientific_journal-1184	114	15	t.g	t.g	PROPN
american_scientific_journal-1184	114	16	.	.	PROPN
american_scientific_journal-1184	114	17	kim	kim	PROPN
american_scientific_journal-1184	114	18	.	.	PUNCT
american_scientific_journal-1184	115	1	"effect	"effect	PROPN
american_scientific_journal-1184	115	2	of	of	ADP
american_scientific_journal-1184	115	3	tool	tool	NOUN
american_scientific_journal-1184	115	4	temperature	temperature	NOUN
american_scientific_journal-1184	115	5	on	on	ADP
american_scientific_journal-1184	115	6	the	the	DET
american_scientific_journal-1184	115	7	reduction	reduction	NOUN
american_scientific_journal-1184	115	8	of	of	ADP
american_scientific_journal-1184	115	9	the	the	DET
american_scientific_journal-1184	115	10	springback	springback	NOUN
american_scientific_journal-1184	115	11	of	of	ADP
american_scientific_journal-1184	115	12	aluminum	aluminum	NOUN
american_scientific_journal-1184	115	13	sheets	sheet	NOUN
american_scientific_journal-1184	115	14	"	"	PUNCT
american_scientific_journal-1184	115	15	journal	journal	NOUN
american_scientific_journal-1184	115	16	of	of	ADP
american_scientific_journal-1184	115	17	materials	material	NOUN
american_scientific_journal-1184	115	18	processing	processing	NOUN
american_scientific_journal-1184	115	19	technology	technology	NOUN
american_scientific_journal-1184	115	20	132	132	NUM
american_scientific_journal-1184	115	21	(	(	PUNCT
american_scientific_journal-1184	115	22	2003	2003	NUM
american_scientific_journal-1184	115	23	)	)	PUNCT
american_scientific_journal-1184	116	1	365–368	365–368	NUM
american_scientific_journal-1184	116	2	.	.	PUNCT
american_scientific_journal-1184	117	1	[	[	X
american_scientific_journal-1184	117	2	2	2	NUM
american_scientific_journal-1184	117	3	]	]	PUNCT
american_scientific_journal-1184	117	4	tianjiaoliua	tianjiaoliua	NOUN
american_scientific_journal-1184	117	5	,	,	PUNCT
american_scientific_journal-1184	117	6	yongjunwanga	yongjunwanga	NOUN
american_scientific_journal-1184	117	7	,	,	PUNCT
american_scientific_journal-1184	117	8	jianjunwua	jianjunwua	PROPN
american_scientific_journal-1184	117	9	,	,	PUNCT
american_scientific_journal-1184	117	10	xiaojiaoxiaa	xiaojiaoxiaa	ADJ
american_scientific_journal-1184	117	11	,	,	PUNCT
american_scientific_journal-1184	117	12	junbiaowanga	junbiaowanga	NOUN
american_scientific_journal-1184	117	13	,	,	PUNCT
american_scientific_journal-1184	117	14	wei	wei	PROPN
american_scientific_journal-1184	117	15	wangb	wangb	VERB
american_scientific_journal-1184	117	16	and	and	CCONJ
american_scientific_journal-1184	117	17	shunhong	shunhong	NOUN
american_scientific_journal-1184	117	18	200	200	NUM
american_scientific_journal-1184	117	19	american	american	ADJ
american_scientific_journal-1184	117	20	scientific	scientific	ADJ
american_scientific_journal-1184	117	21	research	research	NOUN
american_scientific_journal-1184	117	22	journal	journal	NOUN
american_scientific_journal-1184	117	23	for	for	ADP
american_scientific_journal-1184	117	24	engineering	engineering	NOUN
american_scientific_journal-1184	117	25	,	,	PUNCT
american_scientific_journal-1184	117	26	technology	technology	NOUN
american_scientific_journal-1184	117	27	,	,	PUNCT
american_scientific_journal-1184	117	28	and	and	CCONJ
american_scientific_journal-1184	117	29	sciences	science	NOUN
american_scientific_journal-1184	117	30	(	(	PUNCT
american_scientific_journal-1184	117	31	asrjets	asrjet	NOUN
american_scientific_journal-1184	117	32	)	)	PUNCT
american_scientific_journal-1184	117	33	(	(	PUNCT
american_scientific_journal-1184	117	34	2015	2015	NUM
american_scientific_journal-1184	117	35	)	)	PUNCT
american_scientific_journal-1184	117	36	volume	volume	NOUN
american_scientific_journal-1184	117	37	14	14	NUM
american_scientific_journal-1184	117	38	,	,	PUNCT
american_scientific_journal-1184	117	39	no	no	DET
american_scientific_journal-1184	117	40	3	3	NUM
american_scientific_journal-1184	117	41	,	,	PUNCT
american_scientific_journal-1184	117	42	pp	pp	ADV
american_scientific_journal-1184	117	43	187	187	NUM
american_scientific_journal-1184	117	44	-	-	SYM
american_scientific_journal-1184	117	45	201	201	NUM
american_scientific_journal-1184	117	46	wang	wang	NOUN
american_scientific_journal-1184	117	47	.	.	PUNCT
american_scientific_journal-1184	118	1	"springback	"springback	VERB
american_scientific_journal-1184	118	2	analysis	analysis	NOUN
american_scientific_journal-1184	118	3	of	of	ADP
american_scientific_journal-1184	118	4	z	z	PROPN
american_scientific_journal-1184	118	5	&	&	CCONJ
american_scientific_journal-1184	118	6	t	t	PROPN
american_scientific_journal-1184	118	7	-	-	PUNCT
american_scientific_journal-1184	118	8	section	section	NOUN
american_scientific_journal-1184	118	9	2196	2196	NUM
american_scientific_journal-1184	118	10	-	-	SYM
american_scientific_journal-1184	118	11	t8511	t8511	NUM
american_scientific_journal-1184	118	12	and	and	CCONJ
american_scientific_journal-1184	118	13	2099	2099	NUM
american_scientific_journal-1184	118	14	-	-	PUNCT
american_scientific_journal-1184	118	15	t83	t83	NOUN
american_scientific_journal-1184	118	16	al	al	PROPN
american_scientific_journal-1184	118	17	–	–	PUNCT
american_scientific_journal-1184	118	18	lialloys	lialloy	VERB
american_scientific_journal-1184	118	19	extrusions	extrusion	NOUN
american_scientific_journal-1184	118	20	in	in	ADP
american_scientific_journal-1184	118	21	displacement	displacement	NOUN
american_scientific_journal-1184	118	22	controlled	control	VERB
american_scientific_journal-1184	118	23	cold	cold	ADJ
american_scientific_journal-1184	118	24	stretch	stretch	NOUN
american_scientific_journal-1184	118	25	bending	bend	VERB
american_scientific_journal-1184	118	26	"	"	PUNCT
american_scientific_journal-1184	118	27	journal	journal	NOUN
american_scientific_journal-1184	118	28	of	of	ADP
american_scientific_journal-1184	118	29	materials	material	NOUN
american_scientific_journal-1184	118	30	processing	processing	NOUN
american_scientific_journal-1184	118	31	technology	technology	NOUN
american_scientific_journal-1184	118	32	225	225	NUM
american_scientific_journal-1184	118	33	(	(	PUNCT
american_scientific_journal-1184	118	34	2015	2015	NUM
american_scientific_journal-1184	118	35	)	)	PUNCT
american_scientific_journal-1184	118	36	295–309	295–309	NUM
american_scientific_journal-1184	118	37	.	.	PUNCT
american_scientific_journal-1184	119	1	[	[	X
american_scientific_journal-1184	119	2	3	3	NUM
american_scientific_journal-1184	119	3	]	]	X
american_scientific_journal-1184	119	4	s	s	X
american_scientific_journal-1184	119	5	b	b	PROPN
american_scientific_journal-1184	119	6	chikalthankar	chikalthankar	PROPN
american_scientific_journal-1184	119	7	,	,	PUNCT
american_scientific_journal-1184	119	8	g	g	PROPN
american_scientific_journal-1184	119	9	d	d	PROPN
american_scientific_journal-1184	119	10	belurkar	belurkar	PROPN
american_scientific_journal-1184	119	11	and	and	CCONJ
american_scientific_journal-1184	119	12	v	v	ADP
american_scientific_journal-1184	119	13	m	m	NOUN
american_scientific_journal-1184	119	14	nandedkar	nandedkar	NOUN
american_scientific_journal-1184	119	15	.	.	PUNCT
american_scientific_journal-1184	120	1	"factors	"factor	NOUN
american_scientific_journal-1184	120	2	affecting	affect	VERB
american_scientific_journal-1184	120	3	on	on	ADP
american_scientific_journal-1184	120	4	springback	springback	NOUN
american_scientific_journal-1184	120	5	in	in	ADP
american_scientific_journal-1184	120	6	sheet	sheet	NOUN
american_scientific_journal-1184	120	7	metal	metal	NOUN
american_scientific_journal-1184	120	8	bending	bending	NOUN
american_scientific_journal-1184	120	9	:	:	PUNCT
american_scientific_journal-1184	120	10	a	a	DET
american_scientific_journal-1184	120	11	review	review	NOUN
american_scientific_journal-1184	120	12	"	"	PUNCT
american_scientific_journal-1184	120	13	international	international	ADJ
american_scientific_journal-1184	120	14	journal	journal	NOUN
american_scientific_journal-1184	120	15	of	of	ADP
american_scientific_journal-1184	120	16	engineering	engineering	NOUN
american_scientific_journal-1184	120	17	and	and	CCONJ
american_scientific_journal-1184	120	18	advanced	advanced	ADJ
american_scientific_journal-1184	120	19	technology	technology	NOUN
american_scientific_journal-1184	120	20	(	(	PUNCT
american_scientific_journal-1184	120	21	ijeat	ijeat	NOUN
american_scientific_journal-1184	120	22	)	)	PUNCT
american_scientific_journal-1184	120	23	,	,	PUNCT
american_scientific_journal-1184	120	24	volume-3	volume-3	NUM
american_scientific_journal-1184	120	25	,	,	PUNCT
american_scientific_journal-1184	120	26	issue-4	issue-4	PROPN
american_scientific_journal-1184	120	27	,	,	PUNCT
american_scientific_journal-1184	120	28	april	april	PROPN
american_scientific_journal-1184	120	29	2014	2014	NUM
american_scientific_journal-1184	120	30	.	.	PUNCT
american_scientific_journal-1184	121	1	[	[	X
american_scientific_journal-1184	121	2	4	4	NUM
american_scientific_journal-1184	121	3	]	]	PUNCT
american_scientific_journal-1184	121	4	a.	a.	PROPN
american_scientific_journal-1184	121	5	el	el	PROPN
american_scientific_journal-1184	121	6	-	-	PUNCT
american_scientific_journal-1184	121	7	megharbel	megharbel	NOUN
american_scientific_journal-1184	121	8	,	,	PUNCT
american_scientific_journal-1184	121	9	a.	a.	PROPN
american_scientific_journal-1184	121	10	el	el	PROPN
american_scientific_journal-1184	121	11	-	-	PUNCT
american_scientific_journal-1184	121	12	domiaty	domiaty	NOUN
american_scientific_journal-1184	121	13	,	,	PUNCT
american_scientific_journal-1184	121	14	m.	m.	NOUN
american_scientific_journal-1184	121	15	shaker	shaker	NOUN
american_scientific_journal-1184	121	16	:	:	PUNCT
american_scientific_journal-1184	121	17	"	"	PUNCT
american_scientific_journal-1184	121	18	springback	springback	VERB
american_scientific_journal-1184	121	19	and	and	CCONJ
american_scientific_journal-1184	121	20	residual	residual	ADJ
american_scientific_journal-1184	121	21	stresses	stress	NOUN
american_scientific_journal-1184	121	22	after	after	ADP
american_scientific_journal-1184	121	23	stretch	stretch	NOUN
american_scientific_journal-1184	121	24	bending	bending	NOUN
american_scientific_journal-1184	121	25	of	of	ADP
american_scientific_journal-1184	121	26	workhardening	workhardene	VERB
american_scientific_journal-1184	121	27	sheet	sheet	NOUN
american_scientific_journal-1184	121	28	metal	metal	NOUN
american_scientific_journal-1184	121	29	"	"	PUNCT
american_scientific_journal-1184	121	30	.	.	PUNCT
american_scientific_journal-1184	122	1	journal	journal	PROPN
american_scientific_journal-1184	122	2	of	of	ADP
american_scientific_journal-1184	122	3	materials	material	NOUN
american_scientific_journal-1184	122	4	processing	processing	NOUN
american_scientific_journal-1184	122	5	technology	technology	NOUN
american_scientific_journal-1184	122	6	12/1990	12/1990	NOUN
american_scientific_journal-1184	122	7	;	;	PUNCT
american_scientific_journal-1184	122	8	24(1):191	24(1):191	NUM
american_scientific_journal-1184	122	9	-	-	PUNCT
american_scientific_journal-1184	122	10	200	200	NUM
american_scientific_journal-1184	122	11	.	.	PUNCT
american_scientific_journal-1184	123	1	[	[	X
american_scientific_journal-1184	123	2	5	5	NUM
american_scientific_journal-1184	123	3	]	]	PUNCT
american_scientific_journal-1184	123	4	a.	a.	NOUN
american_scientific_journal-1184	123	5	el	el	PROPN
american_scientific_journal-1184	123	6	megharbel	megharbel	PROPN
american_scientific_journal-1184	123	7	,	,	PUNCT
american_scientific_journal-1184	123	8	g.a	g.a	PROPN
american_scientific_journal-1184	123	9	.	.	PROPN
american_scientific_journal-1184	123	10	el	el	PROPN
american_scientific_journal-1184	123	11	nasser	nasser	PROPN
american_scientific_journal-1184	123	12	,	,	PUNCT
american_scientific_journal-1184	123	13	aly	aly	PROPN
american_scientific_journal-1184	123	14	el	el	PROPN
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american_scientific_journal-1184	123	16	.	.	PUNCT
american_scientific_journal-1184	124	1	"	"	PUNCT
american_scientific_journal-1184	124	2	bending	bend	VERB
american_scientific_journal-1184	124	3	of	of	ADP
american_scientific_journal-1184	124	4	tube	tube	NOUN
american_scientific_journal-1184	124	5	and	and	CCONJ
american_scientific_journal-1184	124	6	section	section	NOUN
american_scientific_journal-1184	124	7	made	make	VERB
american_scientific_journal-1184	124	8	of	of	ADP
american_scientific_journal-1184	124	9	strain	strain	NOUN
american_scientific_journal-1184	124	10	-	-	PUNCT
american_scientific_journal-1184	124	11	hardening	harden	VERB
american_scientific_journal-1184	124	12	materials	material	NOUN
american_scientific_journal-1184	124	13	"	"	PUNCT
american_scientific_journal-1184	124	14	.	.	PUNCT
american_scientific_journal-1184	125	1	journal	journal	NOUN
american_scientific_journal-1184	125	2	of	of	ADP
american_scientific_journal-1184	125	3	materials	material	NOUN
american_scientific_journal-1184	125	4	processing	processing	NOUN
american_scientific_journal-1184	125	5	technology	technology	NOUN
american_scientific_journal-1184	125	6	07/2008	07/2008	NOUN
american_scientific_journal-1184	125	7	;	;	PUNCT
american_scientific_journal-1184	125	8	203(1	203(1	NUM
american_scientific_journal-1184	125	9	-	-	SYM
american_scientific_journal-1184	125	10	3):372	3):372	NUM
american_scientific_journal-1184	125	11	-	-	PUNCT
american_scientific_journal-1184	125	12	380	380	NUM
american_scientific_journal-1184	125	13	.	.	PUNCT
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american_scientific_journal-1184	126	2	6	6	NUM
american_scientific_journal-1184	126	3	]	]	PUNCT
american_scientific_journal-1184	126	4	j.	j.	PROPN
american_scientific_journal-1184	126	5	yanagimoto	yanagimoto	PROPN
american_scientific_journal-1184	126	6	and	and	CCONJ
american_scientific_journal-1184	126	7	k.	k.	PROPN
american_scientific_journal-1184	126	8	oyamada	oyamada	PROPN
american_scientific_journal-1184	126	9	,	,	PUNCT
american_scientific_journal-1184	126	10	"	"	PUNCT
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american_scientific_journal-1184	126	12	of	of	ADP
american_scientific_journal-1184	126	13	springback	springback	NOUN
american_scientific_journal-1184	126	14	-	-	PUNCT
american_scientific_journal-1184	126	15	free	free	ADJ
american_scientific_journal-1184	126	16	bending	bending	NOUN
american_scientific_journal-1184	126	17	of	of	ADP
american_scientific_journal-1184	126	18	high	high	ADJ
american_scientific_journal-1184	126	19	-	-	PUNCT
american_scientific_journal-1184	126	20	strength	strength	NOUN
american_scientific_journal-1184	126	21	steel	steel	NOUN
american_scientific_journal-1184	126	22	sheets	sheet	NOUN
american_scientific_journal-1184	126	23	under	under	ADP
american_scientific_journal-1184	126	24	warm	warm	ADJ
american_scientific_journal-1184	126	25	forming	form	VERB
american_scientific_journal-1184	126	26	conditions	condition	NOUN
american_scientific_journal-1184	126	27	"	"	PUNCT
american_scientific_journal-1184	126	28	,	,	PUNCT
american_scientific_journal-1184	126	29	annals	annal	NOUN
american_scientific_journal-1184	126	30	of	of	ADP
american_scientific_journal-1184	126	31	the	the	DET
american_scientific_journal-1184	126	32	cirp	cirp	ADJ
american_scientific_journal-1184	126	33	vol	vol	NOUN
american_scientific_journal-1184	126	34	.	.	PUNCT
american_scientific_journal-1184	127	1	56/1/2007	56/1/2007	NUM
american_scientific_journal-1184	127	2	.	.	PUNCT
american_scientific_journal-1184	128	1	[	[	X
american_scientific_journal-1184	128	2	7	7	X
american_scientific_journal-1184	128	3	]	]	X
american_scientific_journal-1184	128	4	z.damián	z.damián	NOUN
american_scientific_journal-1184	128	5	-	-	PUNCT
american_scientific_journal-1184	128	6	noriega	noriega	PROPN
american_scientific_journal-1184	128	7	,	,	PUNCT
american_scientific_journal-1184	128	8	r.	r.	PROPN
american_scientific_journal-1184	128	9	pérez	pérez	PROPN
american_scientific_journal-1184	128	10	-	-	PUNCT
american_scientific_journal-1184	128	11	moreno	moreno	PROPN
american_scientific_journal-1184	128	12	,	,	PUNCT
american_scientific_journal-1184	128	13	s.a	s.a	PROPN
american_scientific_journal-1184	128	14	.	.	PROPN
american_scientific_journal-1184	128	15	villanueva	villanueva	PROPN
american_scientific_journal-1184	128	16	-	-	ADJ
american_scientific_journal-1184	128	17	pruneda	pruneda	ADJ
american_scientific_journal-1184	128	18	,	,	PUNCT
american_scientific_journal-1184	128	19	v.m	v.m	PROPN
american_scientific_journal-1184	128	20	.	.	PROPN
american_scientific_journal-1184	128	21	domínguez	domínguez	NOUN
american_scientific_journal-1184	128	22	-	-	PUNCT
american_scientific_journal-1184	128	23	hernández	hernández	PROPN
american_scientific_journal-1184	128	24	,	,	PUNCT
american_scientific_journal-1184	128	25	j.p.a	j.p.a	PROPN
american_scientific_journal-1184	128	26	.	.	PUNCT
american_scientific_journal-1184	128	27	puerta	puerta	PROPN
american_scientific_journal-1184	128	28	-	-	PUNCT
american_scientific_journal-1184	128	29	huerta	huerta	PROPN
american_scientific_journal-1184	128	30	and	and	CCONJ
american_scientific_journal-1184	128	31	c.	c.	PROPN
american_scientific_journal-1184	128	32	huerta	huerta	PROPN
american_scientific_journal-1184	128	33	-	-	PUNCT
american_scientific_journal-1184	128	34	muñoz	muñoz	PROPN
american_scientific_journal-1184	128	35	.	.	PUNCT
american_scientific_journal-1184	129	1	"a	"a	PROPN
american_scientific_journal-1184	129	2	new	new	ADJ
american_scientific_journal-1184	129	3	equation	equation	NOUN
american_scientific_journal-1184	129	4	to	to	PART
american_scientific_journal-1184	129	5	determine	determine	VERB
american_scientific_journal-1184	129	6	the	the	DET
american_scientific_journal-1184	129	7	springback	springback	NOUN
american_scientific_journal-1184	129	8	in	in	ADP
american_scientific_journal-1184	129	9	the	the	DET
american_scientific_journal-1184	129	10	bending	bend	VERB
american_scientific_journal-1184	129	11	process	process	NOUN
american_scientific_journal-1184	129	12	of	of	ADP
american_scientific_journal-1184	129	13	metallic	metallic	ADJ
american_scientific_journal-1184	129	14	sheet	sheet	NOUN
american_scientific_journal-1184	129	15	"	"	PUNCT
american_scientific_journal-1184	129	16	,	,	PUNCT
american_scientific_journal-1184	129	17	2008	2008	NUM
american_scientific_journal-1184	129	18	,	,	PUNCT
american_scientific_journal-1184	129	19	icces	icce	NOUN
american_scientific_journal-1184	129	20	,	,	PUNCT
american_scientific_journal-1184	129	21	vol.8	vol.8	PROPN
american_scientific_journal-1184	129	22	,	,	PUNCT
american_scientific_journal-1184	129	23	no.1	no.1	NUM
american_scientific_journal-1184	129	24	,	,	PUNCT
american_scientific_journal-1184	129	25	pp.25	pp.25	NOUN
american_scientific_journal-1184	129	26	-	-	NOUN
american_scientific_journal-1184	129	27	30	30	NUM
american_scientific_journal-1184	129	28	.	.	PUNCT
american_scientific_journal-1184	130	1	[	[	X
american_scientific_journal-1184	130	2	8	8	NUM
american_scientific_journal-1184	130	3	]	]	X
american_scientific_journal-1184	130	4	wenjuan	wenjuan	PROPN
american_scientific_journal-1184	130	5	liu	liu	PROPN
american_scientific_journal-1184	130	6	,	,	PUNCT
american_scientific_journal-1184	130	7	zhiyong	zhiyong	PROPN
american_scientific_journal-1184	130	8	liang	liang	PROPN
american_scientific_journal-1184	130	9	,	,	PUNCT
american_scientific_journal-1184	130	10	tao	tao	PROPN
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american_scientific_journal-1184	130	12	,	,	PUNCT
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american_scientific_journal-1184	130	15	and	and	CCONJ
american_scientific_journal-1184	130	16	jinpinglian	jinpinglian	PROPN
american_scientific_journal-1184	130	17	,	,	PUNCT
american_scientific_journal-1184	130	18	"	"	PUNCT
american_scientific_journal-1184	130	19	process	process	NOUN
american_scientific_journal-1184	130	20	optimal	optimal	ADJ
american_scientific_journal-1184	130	21	control	control	NOUN
american_scientific_journal-1184	130	22	of	of	ADP
american_scientific_journal-1184	130	23	sheet	sheet	NOUN
american_scientific_journal-1184	130	24	metal	metal	NOUN
american_scientific_journal-1184	130	25	forming	form	VERB
american_scientific_journal-1184	130	26	springback	springback	NOUN
american_scientific_journal-1184	130	27	based	base	VERB
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american_scientific_journal-1184	130	31	"	"	PUNCT
american_scientific_journal-1184	130	32	,	,	PUNCT
american_scientific_journal-1184	130	33	proceedings	proceeding	NOUN
american_scientific_journal-1184	130	34	of	of	ADP
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american_scientific_journal-1184	130	36	7th	7th	ADJ
american_scientific_journal-1184	130	37	world	world	NOUN
american_scientific_journal-1184	130	38	congress	congress	PROPN
american_scientific_journal-1184	130	39	on	on	ADP
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american_scientific_journal-1184	130	41	control	control	NOUN
american_scientific_journal-1184	130	42	and	and	CCONJ
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american_scientific_journal-1184	130	44	june	june	PROPN
american_scientific_journal-1184	130	45	25	25	NUM
american_scientific_journal-1184	130	46	27	27	NUM
american_scientific_journal-1184	130	47	,	,	PUNCT
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american_scientific_journal-1184	130	49	,	,	PUNCT
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american_scientific_journal-1184	130	51	,	,	PUNCT
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american_scientific_journal-1184	130	53	.	.	PUNCT
american_scientific_journal-1184	131	1	[	[	X
american_scientific_journal-1184	131	2	9	9	NUM
american_scientific_journal-1184	131	3	]	]	X
american_scientific_journal-1184	131	4	fengruan	fengruan	PROPN
american_scientific_journal-1184	131	5	,	,	PUNCT
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american_scientific_journal-1184	131	8	and	and	CCONJ
american_scientific_journal-1184	131	9	wenjuan	wenjuan	PROPN
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american_scientific_journal-1184	131	11	.	.	PUNCT
american_scientific_journal-1184	132	1	"springback	"springback	PROPN
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american_scientific_journal-1184	132	3	for	for	ADP
american_scientific_journal-1184	132	4	complex	complex	ADJ
american_scientific_journal-1184	132	5	sheet	sheet	NOUN
american_scientific_journal-1184	132	6	metal	metal	NOUN
american_scientific_journal-1184	132	7	forming	form	VERB
american_scientific_journal-1184	132	8	parts	part	NOUN
american_scientific_journal-1184	132	9	based	base	VERB
american_scientific_journal-1184	132	10	on	on	ADP
american_scientific_journal-1184	132	11	genetic	genetic	ADJ
american_scientific_journal-1184	132	12	neural	neural	ADJ
american_scientific_journal-1184	132	13	network	network	NOUN
american_scientific_journal-1184	132	14	"	"	PUNCT
american_scientific_journal-1184	132	15	,	,	PUNCT
american_scientific_journal-1184	132	16	second	second	ADJ
american_scientific_journal-1184	132	17	international	international	ADJ
american_scientific_journal-1184	132	18	symposium	symposium	NOUN
american_scientific_journal-1184	132	19	on	on	ADP
american_scientific_journal-1184	132	20	intelligent	intelligent	ADJ
american_scientific_journal-1184	132	21	information	information	NOUN
american_scientific_journal-1184	132	22	technology	technology	NOUN
american_scientific_journal-1184	132	23	application	application	NOUN
american_scientific_journal-1184	132	24	,	,	PUNCT
american_scientific_journal-1184	132	25	2008	2008	NUM
american_scientific_journal-1184	132	26	ieee	ieee	NOUN
american_scientific_journal-1184	132	27	.	.	PUNCT
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american_scientific_journal-1184	133	2	10	10	NUM
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american_scientific_journal-1184	133	4	zhao	zhao	PROPN
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american_scientific_journal-1184	133	6	,	,	PUNCT
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american_scientific_journal-1184	133	9	,	,	PUNCT
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american_scientific_journal-1184	133	12	and	and	CCONJ
american_scientific_journal-1184	133	13	ma	ma	PROPN
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american_scientific_journal-1184	133	15	,	,	PUNCT
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american_scientific_journal-1184	133	19	of	of	ADP
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american_scientific_journal-1184	133	23	bending	bend	VERB
american_scientific_journal-1184	133	24	"	"	PUNCT
american_scientific_journal-1184	133	25	,	,	PUNCT
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american_scientific_journal-1184	133	31	-	-	PUNCT
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american_scientific_journal-1184	133	35	,	,	PUNCT
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american_scientific_journal-1184	133	37	2011	2011	NUM
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american_scientific_journal-1184	133	39	.	.	PUNCT
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american_scientific_journal-1184	134	2	11	11	NUM
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american_scientific_journal-1184	134	7	,	,	PUNCT
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american_scientific_journal-1184	134	11	,	,	PUNCT
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american_scientific_journal-1184	134	15	,	,	PUNCT
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american_scientific_journal-1184	134	17	v.	v.	ADP
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american_scientific_journal-1184	134	20	.	.	PUNCT
american_scientific_journal-1184	135	1	"springback	"springback	VERB
american_scientific_journal-1184	135	2	analysis	analysis	NOUN
american_scientific_journal-1184	135	3	in	in	ADP
american_scientific_journal-1184	135	4	sheet	sheet	NOUN
american_scientific_journal-1184	135	5	metal	metal	NOUN
american_scientific_journal-1184	135	6	forming	form	VERB
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american_scientific_journal-1184	135	8	modified	modified	ADJ
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american_scientific_journal-1184	135	11	-	-	PUNCT
american_scientific_journal-1184	135	12	strain	strain	NOUN
american_scientific_journal-1184	135	13	relation	relation	NOUN
american_scientific_journal-1184	135	14	"	"	PUNCT
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american_scientific_journal-1184	135	19	isrn	isrn	VERB
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american_scientific_journal-1184	135	23	2013	2013	NUM
american_scientific_journal-1184	135	24	,	,	PUNCT
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american_scientific_journal-1184	135	27	d	d	PROPN
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american_scientific_journal-1184	135	29	,	,	PUNCT
american_scientific_journal-1184	135	30	11	11	NUM
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american_scientific_journal-1184	135	32	.	.	PUNCT
american_scientific_journal-1184	136	1	201	201	NUM