id	sid	tid	token	lemma	pos
cana-5490	1	1	communications	communication	NOUN
cana-5490	1	2	on	on	ADP
cana-5490	1	3	applied	apply	VERB
cana-5490	1	4	nonlinear	nonlinear	ADJ
cana-5490	1	5	analysis	analysis	NOUN
cana-5490	1	6	issn	issn	NOUN
cana-5490	1	7	:	:	PUNCT
cana-5490	1	8	1074	1074	NUM
cana-5490	1	9	-	-	PUNCT
cana-5490	1	10	133x	133x	NUM
cana-5490	1	11	vol	vol	VERB
cana-5490	1	12	32	32	NUM
cana-5490	1	13	no	no	NOUN
cana-5490	1	14	.	.	PUNCT
cana-5490	2	1	10s	10	NOUN
cana-5490	2	2	(	(	PUNCT
cana-5490	2	3	2025	2025	NUM
cana-5490	2	4	)	)	PUNCT
cana-5490	2	5	2422	2422	NUM
cana-5490	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	2	7	magneto	magneto	PROPN
cana-5490	2	8	thermo	thermo	NOUN
cana-5490	2	9	-	-	PUNCT
cana-5490	2	10	elasticity	elasticity	NOUN
cana-5490	2	11	in	in	ADP
cana-5490	2	12	rotating	rotate	VERB
cana-5490	2	13	functionally	functionally	ADV
cana-5490	2	14	graded	grade	VERB
cana-5490	2	15	shell	shell	PROPN
cana-5490	2	16	v.b	v.b	PROPN
cana-5490	2	17	.	.	PROPN
cana-5490	2	18	srinivas1	srinivas1	PROPN
cana-5490	2	19	,	,	PUNCT
cana-5490	2	20	nitin	nitin	PROPN
cana-5490	2	21	j	j	PROPN
cana-5490	2	22	wange2	wange2	PROPN
cana-5490	2	23	,	,	PUNCT
cana-5490	2	24	g.d	g.d	PROPN
cana-5490	2	25	.	.	PROPN
cana-5490	2	26	kedar3	kedar3	PROPN
cana-5490	2	27	department	department	PROPN
cana-5490	2	28	of	of	ADP
cana-5490	2	29	mathematics	mathematic	NOUN
cana-5490	2	30	,	,	PUNCT
cana-5490	2	31	school	school	NOUN
cana-5490	2	32	of	of	ADP
cana-5490	2	33	engineering	engineering	PROPN
cana-5490	2	34	anurag	anurag	PROPN
cana-5490	2	35	university	university	PROPN
cana-5490	2	36	,	,	PUNCT
cana-5490	2	37	venkatapur	venkatapur	NOUN
cana-5490	2	38	,	,	PUNCT
cana-5490	2	39	ghatkesar	ghatkesar	VERB
cana-5490	2	40	,	,	PUNCT
cana-5490	2	41	medchal	medchal	ADJ
cana-5490	2	42	-	-	PUNCT
cana-5490	2	43	malkajgiri	malkajgiri	NOUN
cana-5490	2	44	hyd	hyd	PROPN
cana-5490	2	45	,	,	PUNCT
cana-5490	2	46	telangana	telangana	PROPN
cana-5490	2	47	,	,	PUNCT
cana-5490	2	48	india1	india1	PROPN
cana-5490	2	49	department	department	NOUN
cana-5490	2	50	of	of	ADP
cana-5490	2	51	mathematics	mathematic	NOUN
cana-5490	2	52	,	,	PUNCT
cana-5490	2	53	yeshwantrao	yeshwantrao	PROPN
cana-5490	2	54	chavan	chavan	PROPN
cana-5490	2	55	college	college	NOUN
cana-5490	2	56	of	of	ADP
cana-5490	2	57	engineering	engineering	NOUN
cana-5490	2	58	nagpur	nagpur	PROPN
cana-5490	2	59	,	,	PUNCT
cana-5490	2	60	india2	india2	ADJ
cana-5490	2	61	department	department	NOUN
cana-5490	2	62	of	of	ADP
cana-5490	2	63	mathematicsrtm	mathematicsrtm	PROPN
cana-5490	2	64	nagpur	nagpur	PROPN
cana-5490	2	65	university	university	PROPN
cana-5490	2	66	,	,	PUNCT
cana-5490	2	67	nagpur	nagpur	PROPN
cana-5490	2	68	,	,	PUNCT
cana-5490	2	69	india3	india3	NOUN
cana-5490	2	70	article	article	NOUN
cana-5490	2	71	history	history	NOUN
cana-5490	2	72	:	:	PUNCT
cana-5490	2	73	received	receive	VERB
cana-5490	2	74	:	:	PUNCT
cana-5490	2	75	12	12	NUM
cana-5490	2	76	-	-	SYM
cana-5490	2	77	01	01	NUM
cana-5490	2	78	-	-	PUNCT
cana-5490	2	79	2025	2025	NUM
cana-5490	2	80	revised	revise	VERB
cana-5490	2	81	:	:	PUNCT
cana-5490	2	82	15	15	NUM
cana-5490	2	83	-	-	NUM
cana-5490	2	84	02	02	NUM
cana-5490	2	85	-	-	PUNCT
cana-5490	2	86	2025	2025	NUM
cana-5490	2	87	accepted	accept	VERB
cana-5490	2	88	:	:	PUNCT
cana-5490	2	89	01	01	NUM
cana-5490	2	90	-	-	SYM
cana-5490	2	91	03	03	NUM
cana-5490	2	92	-	-	PUNCT
cana-5490	2	93	2025	2025	NUM
cana-5490	2	94	abstract	abstract	NOUN
cana-5490	2	95	:	:	PUNCT
cana-5490	2	96	introduction	introduction	NOUN
cana-5490	2	97	:	:	PUNCT
cana-5490	2	98	this	this	DET
cana-5490	2	99	study	study	NOUN
cana-5490	2	100	describes	describe	VERB
cana-5490	2	101	the	the	DET
cana-5490	2	102	magneto	magneto	PROPN
cana-5490	2	103	-	-	PUNCT
cana-5490	2	104	thermo	thermo	NOUN
cana-5490	2	105	-	-	PUNCT
cana-5490	2	106	elastic	elastic	ADJ
cana-5490	2	107	behavior	behavior	NOUN
cana-5490	2	108	of	of	ADP
cana-5490	2	109	a	a	DET
cana-5490	2	110	rotational	rotational	ADJ
cana-5490	2	111	functionally	functionally	ADV
cana-5490	2	112	graded	grade	VERB
cana-5490	2	113	material	material	NOUN
cana-5490	2	114	(	(	PUNCT
cana-5490	2	115	fgm	fgm	PROPN
cana-5490	2	116	)	)	PUNCT
cana-5490	2	117	shell	shell	NOUN
cana-5490	2	118	comprising	comprising	NOUN
cana-5490	2	119	composite	composite	ADJ
cana-5490	2	120	materials	material	NOUN
cana-5490	2	121	under	under	ADP
cana-5490	2	122	the	the	DET
cana-5490	2	123	combined	combine	VERB
cana-5490	2	124	effects	effect	NOUN
cana-5490	2	125	of	of	ADP
cana-5490	2	126	magnetic	magnetic	ADJ
cana-5490	2	127	,	,	PUNCT
cana-5490	2	128	thermal	thermal	ADJ
cana-5490	2	129	,	,	PUNCT
cana-5490	2	130	and	and	CCONJ
cana-5490	2	131	mechanical	mechanical	ADJ
cana-5490	2	132	loads	load	NOUN
cana-5490	2	133	.	.	PUNCT
cana-5490	3	1	the	the	DET
cana-5490	3	2	research	research	NOUN
cana-5490	3	3	address	address	NOUN
cana-5490	3	4	how	how	SCONJ
cana-5490	3	5	do	do	AUX
cana-5490	3	6	functionally	functionally	ADV
cana-5490	3	7	graded	grade	VERB
cana-5490	3	8	material	material	NOUN
cana-5490	3	9	(	(	PUNCT
cana-5490	3	10	fgm	fgm	PROPN
cana-5490	3	11	)	)	PUNCT
cana-5490	3	12	shell	shell	ADJ
cana-5490	3	13	response	response	NOUN
cana-5490	3	14	under	under	ADP
cana-5490	3	15	the	the	DET
cana-5490	3	16	influence	influence	NOUN
cana-5490	3	17	of	of	ADP
cana-5490	3	18	magnetic	magnetic	ADJ
cana-5490	3	19	,	,	PUNCT
cana-5490	3	20	thermal	thermal	ADJ
cana-5490	3	21	,	,	PUNCT
cana-5490	3	22	and	and	CCONJ
cana-5490	3	23	mechanical	mechanical	ADJ
cana-5490	3	24	loads	load	NOUN
cana-5490	3	25	,	,	PUNCT
cana-5490	3	26	and	and	CCONJ
cana-5490	3	27	what	what	PRON
cana-5490	3	28	are	be	AUX
cana-5490	3	29	the	the	DET
cana-5490	3	30	effects	effect	NOUN
cana-5490	3	31	of	of	ADP
cana-5490	3	32	various	various	ADJ
cana-5490	3	33	material	material	NOUN
cana-5490	3	34	parameters	parameter	NOUN
cana-5490	3	35	on	on	ADP
cana-5490	3	36	their	their	PRON
cana-5490	3	37	mechanical	mechanical	ADJ
cana-5490	3	38	responses	response	NOUN
cana-5490	3	39	.	.	PUNCT
cana-5490	4	1	t	t	NOUN
cana-5490	4	2	he	he	PRON
cana-5490	4	3	goal	goal	NOUN
cana-5490	4	4	of	of	ADP
cana-5490	4	5	this	this	DET
cana-5490	4	6	research	research	NOUN
cana-5490	4	7	paper	paper	NOUN
cana-5490	4	8	is	be	AUX
cana-5490	4	9	to	to	PART
cana-5490	4	10	analyze	analyze	VERB
cana-5490	4	11	a	a	DET
cana-5490	4	12	magnetothermoelastic	magnetothermoelastic	ADJ
cana-5490	4	13	theoretical	theoretical	ADJ
cana-5490	4	14	solution	solution	NOUN
cana-5490	4	15	for	for	ADP
cana-5490	4	16	functionally	functionally	ADV
cana-5490	4	17	graded	grade	VERB
cana-5490	4	18	material	material	NOUN
cana-5490	4	19	(	(	PUNCT
cana-5490	4	20	fgm	fgm	PROPN
cana-5490	4	21	)	)	PUNCT
cana-5490	4	22	shell	shell	NOUN
cana-5490	4	23	under	under	ADP
cana-5490	4	24	magnetic	magnetic	ADJ
cana-5490	4	25	,	,	PUNCT
cana-5490	4	26	thermal	thermal	ADJ
cana-5490	4	27	,	,	PUNCT
cana-5490	4	28	and	and	CCONJ
cana-5490	4	29	mechanical	mechanical	ADJ
cana-5490	4	30	loads	load	NOUN
cana-5490	4	31	,	,	PUNCT
cana-5490	4	32	enhancing	enhance	VERB
cana-5490	4	33	the	the	DET
cana-5490	4	34	understanding	understanding	NOUN
cana-5490	4	35	of	of	ADP
cana-5490	4	36	their	their	PRON
cana-5490	4	37	mechanical	mechanical	ADJ
cana-5490	4	38	responses	response	NOUN
cana-5490	4	39	.	.	PUNCT
cana-5490	5	1	it	it	PRON
cana-5490	5	2	aims	aim	VERB
cana-5490	5	3	to	to	PART
cana-5490	5	4	provide	provide	VERB
cana-5490	5	5	support	support	NOUN
cana-5490	5	6	for	for	ADP
cana-5490	5	7	practical	practical	ADJ
cana-5490	5	8	engineering	engineering	NOUN
cana-5490	5	9	applications	application	NOUN
cana-5490	5	10	in	in	ADP
cana-5490	5	11	diverse	diverse	ADJ
cana-5490	5	12	fields	field	NOUN
cana-5490	5	13	such	such	ADJ
cana-5490	5	14	as	as	ADP
cana-5490	5	15	aerospace	aerospace	NOUN
cana-5490	5	16	and	and	CCONJ
cana-5490	5	17	electronics	electronic	NOUN
cana-5490	5	18	.	.	PUNCT
cana-5490	6	1	the	the	DET
cana-5490	6	2	study	study	NOUN
cana-5490	6	3	determine	determine	VERB
cana-5490	6	4	the	the	DET
cana-5490	6	5	mechanical	mechanical	ADJ
cana-5490	6	6	responses	response	NOUN
cana-5490	6	7	of	of	ADP
cana-5490	6	8	an	an	DET
cana-5490	6	9	fgm	fgm	PROPN
cana-5490	6	10	shell	shell	NOUN
cana-5490	6	11	under	under	ADP
cana-5490	6	12	magnetic	magnetic	ADJ
cana-5490	6	13	,	,	PUNCT
cana-5490	6	14	thermal	thermal	ADJ
cana-5490	6	15	,	,	PUNCT
cana-5490	6	16	and	and	CCONJ
cana-5490	6	17	mechanical	mechanical	ADJ
cana-5490	6	18	loads	load	NOUN
cana-5490	6	19	are	be	AUX
cana-5490	6	20	significantly	significantly	ADV
cana-5490	6	21	influenced	influence	VERB
cana-5490	6	22	by	by	ADP
cana-5490	6	23	material	material	NOUN
cana-5490	6	24	parameters	parameter	NOUN
cana-5490	6	25	such	such	ADJ
cana-5490	6	26	as	as	ADP
cana-5490	6	27	thermal	thermal	ADJ
cana-5490	6	28	expansion	expansion	NOUN
cana-5490	6	29	coefficient	coefficient	NOUN
cana-5490	7	1	[	[	X
cana-5490	7	2	4	4	NUM
cana-5490	7	3	]	]	PUNCT
cana-5490	7	4	,	,	PUNCT
cana-5490	7	5	volume	volume	NOUN
cana-5490	7	6	fraction	fraction	NOUN
cana-5490	8	1	[	[	X
cana-5490	8	2	3	3	NUM
cana-5490	8	3	]	]	PUNCT
cana-5490	8	4	,	,	PUNCT
cana-5490	8	5	and	and	CCONJ
cana-5490	8	6	poisson	poisson	NOUN
cana-5490	8	7	’s	’s	PART
cana-5490	8	8	ratio	ratio	NOUN
cana-5490	8	9	[	[	X
cana-5490	8	10	3	3	NUM
cana-5490	8	11	]	]	PUNCT
cana-5490	8	12	.	.	PUNCT
cana-5490	9	1	the	the	DET
cana-5490	9	2	voigt	voigt	PROPN
cana-5490	9	3	method	method	NOUN
cana-5490	9	4	[	[	PUNCT
cana-5490	9	5	3]is	3]is	PROPN
cana-5490	9	6	used	use	VERB
cana-5490	9	7	to	to	PART
cana-5490	9	8	analyze	analyze	VERB
cana-5490	9	9	the	the	DET
cana-5490	9	10	stress	stress	NOUN
cana-5490	9	11	-	-	PUNCT
cana-5490	9	12	strain	strain	NOUN
cana-5490	9	13	relation	relation	NOUN
cana-5490	9	14	,	,	PUNCT
cana-5490	9	15	and	and	CCONJ
cana-5490	9	16	the	the	DET
cana-5490	9	17	results	result	NOUN
cana-5490	9	18	are	be	AUX
cana-5490	9	19	compared	compare	VERB
cana-5490	9	20	with	with	ADP
cana-5490	9	21	existing	exist	VERB
cana-5490	9	22	research	research	NOUN
cana-5490	9	23	by	by	ADP
cana-5490	9	24	setting	set	VERB
cana-5490	9	25	values	value	NOUN
cana-5490	9	26	for	for	ADP
cana-5490	9	27	some	some	DET
cana-5490	9	28	parameters	parameter	NOUN
cana-5490	9	29	,	,	PUNCT
cana-5490	9	30	simplifying	simplify	VERB
cana-5490	9	31	the	the	DET
cana-5490	9	32	analysis	analysis	NOUN
cana-5490	9	33	to	to	ADP
cana-5490	9	34	coupled	couple	VERB
cana-5490	9	35	loads.the	loads.the	PRON
cana-5490	9	36	findings	finding	NOUN
cana-5490	9	37	provide	provide	VERB
cana-5490	9	38	valuable	valuable	ADJ
cana-5490	9	39	insights	insight	NOUN
cana-5490	9	40	for	for	ADP
cana-5490	9	41	the	the	DET
cana-5490	9	42	design	design	NOUN
cana-5490	9	43	and	and	CCONJ
cana-5490	9	44	optimization	optimization	NOUN
cana-5490	9	45	of	of	ADP
cana-5490	9	46	gm	gm	PROPN
cana-5490	9	47	tubes	tube	NOUN
cana-5490	9	48	[	[	X
cana-5490	9	49	3	3	NUM
cana-5490	9	50	]	]	PUNCT
cana-5490	9	51	in	in	ADP
cana-5490	9	52	applications	application	NOUN
cana-5490	9	53	subjected	subject	VERB
cana-5490	9	54	to	to	ADP
cana-5490	9	55	combined	combined	ADJ
cana-5490	9	56	magnetic	magnetic	ADJ
cana-5490	9	57	,	,	PUNCT
cana-5490	9	58	thermal	thermal	ADJ
cana-5490	9	59	,	,	PUNCT
cana-5490	9	60	and	and	CCONJ
cana-5490	9	61	mechanical	mechanical	ADJ
cana-5490	9	62	loads	load	NOUN
cana-5490	9	63	,	,	PUNCT
cana-5490	9	64	offering	offer	VERB
cana-5490	9	65	support	support	NOUN
cana-5490	9	66	for	for	ADP
cana-5490	9	67	improved	improved	ADJ
cana-5490	9	68	performance	performance	NOUN
cana-5490	9	69	and	and	CCONJ
cana-5490	9	70	reliability	reliability	NOUN
cana-5490	9	71	.	.	PUNCT
cana-5490	10	1	objectives	objective	NOUN
cana-5490	10	2	:	:	PUNCT
cana-5490	10	3	magnetothermo	magnetothermo	NOUN
cana-5490	10	4	elasticity	elasticity	NOUN
cana-5490	10	5	use	use	NOUN
cana-5490	10	6	to	to	PART
cana-5490	10	7	analyze	analyze	VERB
cana-5490	10	8	the	the	DET
cana-5490	10	9	behavior	behavior	NOUN
cana-5490	10	10	of	of	ADP
cana-5490	10	11	material	material	NOUN
cana-5490	10	12	and	and	CCONJ
cana-5490	10	13	analyze	analyze	VERB
cana-5490	10	14	the	the	DET
cana-5490	10	15	changes	change	NOUN
cana-5490	10	16	on	on	ADP
cana-5490	10	17	material	material	NOUN
cana-5490	10	18	with	with	ADP
cana-5490	10	19	the	the	DET
cana-5490	10	20	temperature	temperature	NOUN
cana-5490	10	21	changes	change	NOUN
cana-5490	10	22	,	,	PUNCT
cana-5490	10	23	magnetic	magnetic	ADJ
cana-5490	10	24	field	field	NOUN
cana-5490	10	25	and	and	CCONJ
cana-5490	10	26	temporary	temporary	ADJ
cana-5490	10	27	deformation	deformation	NOUN
cana-5490	10	28	.	.	PUNCT
cana-5490	11	1	i	i	PRON
cana-5490	11	2	t	t	PROPN
cana-5490	11	3	includes	include	VERB
cana-5490	11	4	concept	concept	NOUN
cana-5490	11	5	of	of	ADP
cana-5490	11	6	electromagnetism	electromagnetism	NOUN
cana-5490	11	7	,	,	PUNCT
cana-5490	11	8	thermodynamics	thermodynamic	NOUN
cana-5490	11	9	and	and	CCONJ
cana-5490	11	10	elasticity	elasticity	NOUN
cana-5490	11	11	to	to	PART
cana-5490	11	12	analyze	analyze	VERB
cana-5490	11	13	the	the	DET
cana-5490	11	14	behavior	behavior	NOUN
cana-5490	11	15	of	of	ADP
cana-5490	11	16	materials	material	NOUN
cana-5490	11	17	in	in	ADP
cana-5490	11	18	different	different	ADJ
cana-5490	11	19	-	-	PUNCT
cana-5490	11	20	different	different	ADJ
cana-5490	11	21	applications	application	NOUN
cana-5490	11	22	methods	method	NOUN
cana-5490	11	23	:	:	PUNCT
cana-5490	11	24	in	in	ADP
cana-5490	11	25	the	the	DET
cana-5490	11	26	modelling	modelling	NOUN
cana-5490	11	27	of	of	ADP
cana-5490	11	28	composite	composite	ADJ
cana-5490	11	29	material	material	NOUN
cana-5490	11	30	in	in	ADP
cana-5490	11	31	rotating	rotate	VERB
cana-5490	11	32	functionally	functionally	ADV
cana-5490	11	33	graded	grade	VERB
cana-5490	11	34	shell	shell	NOUN
cana-5490	11	35	.	.	PUNCT
cana-5490	12	1	it	it	PRON
cana-5490	12	2	is	be	AUX
cana-5490	12	3	less	less	ADV
cana-5490	12	4	complex	complex	ADJ
cana-5490	12	5	method	method	NOUN
cana-5490	12	6	to	to	PART
cana-5490	12	7	evaluate	evaluate	VERB
cana-5490	12	8	the	the	DET
cana-5490	12	9	equivalent	equivalent	NOUN
cana-5490	12	10	the	the	DET
cana-5490	12	11	material	material	NOUN
cana-5490	12	12	parameter	parameter	NOUN
cana-5490	12	13	of	of	ADP
cana-5490	12	14	a	a	DET
cana-5490	12	15	composite	composite	ADJ
cana-5490	12	16	material	material	NOUN
cana-5490	12	17	made	make	VERB
cana-5490	12	18	up	up	ADP
cana-5490	12	19	of	of	ADP
cana-5490	12	20	two	two	NUM
cana-5490	12	21	or	or	CCONJ
cana-5490	12	22	more	more	ADV
cana-5490	12	23	different	different	ADJ
cana-5490	12	24	materials.in	materials.in	NOUN
cana-5490	12	25	voigt	voigt	NOUN
cana-5490	12	26	method	method	NOUN
cana-5490	12	27	[	[	X
cana-5490	12	28	3	3	NUM
cana-5490	12	29	]	]	PUNCT
cana-5490	12	30	,	,	PUNCT
cana-5490	12	31	composite	composite	ADJ
cana-5490	12	32	material	material	NOUN
cana-5490	12	33	act	act	NOUN
cana-5490	12	34	as	as	SCONJ
cana-5490	12	35	individual	individual	ADJ
cana-5490	12	36	material	material	NOUN
cana-5490	12	37	communications	communication	NOUN
cana-5490	12	38	on	on	ADP
cana-5490	12	39	applied	apply	VERB
cana-5490	12	40	nonlinear	nonlinear	ADJ
cana-5490	12	41	analysis	analysis	NOUN
cana-5490	12	42	issn	issn	NOUN
cana-5490	12	43	:	:	PUNCT
cana-5490	12	44	1074	1074	NUM
cana-5490	12	45	-	-	PUNCT
cana-5490	12	46	133x	133x	NUM
cana-5490	12	47	vol	vol	VERB
cana-5490	12	48	32	32	NUM
cana-5490	12	49	no	no	NOUN
cana-5490	12	50	.	.	PUNCT
cana-5490	13	1	10s	10	NOUN
cana-5490	13	2	(	(	PUNCT
cana-5490	13	3	2025	2025	NUM
cana-5490	13	4	)	)	PUNCT
cana-5490	13	5	2423	2423	NUM
cana-5490	13	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	13	7	property	property	NOUN
cana-5490	13	8	distributed	distribute	VERB
cana-5490	13	9	uniformly	uniformly	ADV
cana-5490	13	10	.	.	PUNCT
cana-5490	14	1	each	each	DET
cana-5490	14	2	material	material	NOUN
cana-5490	14	3	contribute	contribute	VERB
cana-5490	14	4	the	the	DET
cana-5490	14	5	overall	overall	ADJ
cana-5490	14	6	property	property	NOUN
cana-5490	14	7	according	accord	VERB
cana-5490	14	8	to	to	ADP
cana-5490	14	9	its	its	PRON
cana-5490	14	10	volume	volume	NOUN
cana-5490	14	11	fraction	fraction	NOUN
cana-5490	14	12	.	.	PUNCT
cana-5490	15	1	results	result	NOUN
cana-5490	15	2	:	:	PUNCT
cana-5490	15	3	it	it	PRON
cana-5490	15	4	formulates	formulate	VERB
cana-5490	15	5	a	a	DET
cana-5490	15	6	mathematical	mathematical	ADJ
cana-5490	15	7	equation	equation	NOUN
cana-5490	15	8	for	for	AUX
cana-5490	15	9	identify	identify	VERB
cana-5490	15	10	the	the	DET
cana-5490	15	11	relationship	relationship	NOUN
cana-5490	15	12	between	between	ADP
cana-5490	15	13	nonlinear	nonlinear	ADJ
cana-5490	15	14	thermo	thermo	NOUN
cana-5490	15	15	elastic	elastic	NOUN
cana-5490	15	16	and	and	CCONJ
cana-5490	15	17	effect	effect	NOUN
cana-5490	15	18	of	of	ADP
cana-5490	15	19	arious	arious	ADJ
cana-5490	15	20	controlling	controlling	NOUN
cana-5490	15	21	parameter	parameter	NOUN
cana-5490	15	22	on	on	ADP
cana-5490	15	23	dynamics.voigt	dynamics.voigt	PROPN
cana-5490	15	24	method	method	NOUN
cana-5490	15	25	[	[	X
cana-5490	15	26	3	3	NUM
cana-5490	15	27	]	]	PUNCT
cana-5490	15	28	use	use	NOUN
cana-5490	15	29	for	for	SCONJ
cana-5490	15	30	evaluate	evaluate	VERB
cana-5490	15	31	the	the	DET
cana-5490	15	32	equivalent	equivalent	ADJ
cana-5490	15	33	material	material	NOUN
cana-5490	15	34	parameter	parameter	NOUN
cana-5490	15	35	of	of	ADP
cana-5490	15	36	a	a	DET
cana-5490	15	37	rotating	rotating	NOUN
cana-5490	15	38	functionally	functionally	ADV
cana-5490	15	39	graded	grade	VERB
cana-5490	15	40	shell	shell	NOUN
cana-5490	15	41	in	in	ADP
cana-5490	15	42	the	the	DET
cana-5490	15	43	presence	presence	NOUN
cana-5490	15	44	of	of	ADP
cana-5490	15	45	magnetic	magnetic	ADJ
cana-5490	15	46	,	,	PUNCT
cana-5490	15	47	mechanical	mechanical	ADJ
cana-5490	15	48	,	,	PUNCT
cana-5490	15	49	thermal	thermal	ADJ
cana-5490	15	50	conditions	condition	NOUN
cana-5490	15	51	.	.	PUNCT
cana-5490	16	1	conclusions	conclusion	NOUN
cana-5490	16	2	:	:	PUNCT
cana-5490	16	3	the	the	DET
cana-5490	16	4	critical	critical	ADJ
cana-5490	16	5	role	role	NOUN
cana-5490	16	6	of	of	ADP
cana-5490	16	7	poisson	poisson	NOUN
cana-5490	16	8	’s	’s	PART
cana-5490	16	9	ratio	ratio	NOUN
cana-5490	16	10	in	in	ADP
cana-5490	16	11	determining	determine	VERB
cana-5490	16	12	the	the	DET
cana-5490	16	13	stress	stress	NOUN
cana-5490	16	14	distribution	distribution	NOUN
cana-5490	16	15	within	within	ADP
cana-5490	16	16	functionally	functionally	ADV
cana-5490	16	17	graded	grade	VERB
cana-5490	16	18	thick	thick	ADJ
cana-5490	16	19	-	-	PUNCT
cana-5490	16	20	walled	wall	VERB
cana-5490	16	21	tubes	tube	NOUN
cana-5490	16	22	under	under	ADP
cana-5490	16	23	various	various	ADJ
cana-5490	16	24	load	load	NOUN
cana-5490	16	25	conditions	condition	NOUN
cana-5490	16	26	.	.	PUNCT
cana-5490	17	1	notably	notably	ADV
cana-5490	17	2	,	,	PUNCT
cana-5490	17	3	radial	radial	ADJ
cana-5490	17	4	stress	stress	NOUN
cana-5490	17	5	exhibits	exhibit	VERB
cana-5490	17	6	considerable	considerable	ADJ
cana-5490	17	7	variation	variation	NOUN
cana-5490	17	8	across	across	ADP
cana-5490	17	9	the	the	DET
cana-5490	17	10	tube	tube	NOUN
cana-5490	17	11	’s	’s	PART
cana-5490	17	12	radius	radius	NOUN
cana-5490	17	13	,	,	PUNCT
cana-5490	17	14	with	with	ADP
cana-5490	17	15	the	the	DET
cana-5490	17	16	greatest	great	ADJ
cana-5490	17	17	difference	difference	NOUN
cana-5490	17	18	observed	observe	VERB
cana-5490	17	19	at	at	ADP
cana-5490	17	20	the	the	DET
cana-5490	17	21	mid	mid	NOUN
cana-5490	17	22	-	-	NOUN
cana-5490	17	23	radius	radius	NOUN
cana-5490	17	24	.	.	PUNCT
cana-5490	18	1	poisson	poisson	PROPN
cana-5490	18	2	’s	’s	PART
cana-5490	18	3	ratio	ratio	NOUN
cana-5490	18	4	notably	notably	ADV
cana-5490	18	5	influences	influence	VERB
cana-5490	18	6	circumferential	circumferential	ADJ
cana-5490	18	7	and	and	CCONJ
cana-5490	18	8	axial	axial	ADJ
cana-5490	18	9	stresses	stress	NOUN
cana-5490	18	10	,	,	PUNCT
cana-5490	18	11	particularly	particularly	ADV
cana-5490	18	12	near	near	ADP
cana-5490	18	13	the	the	DET
cana-5490	18	14	inner	inner	ADJ
cana-5490	18	15	radius	radius	NOUN
cana-5490	18	16	,	,	PUNCT
cana-5490	18	17	with	with	ADP
cana-5490	18	18	axial	axial	ADJ
cana-5490	18	19	stress	stress	NOUN
cana-5490	18	20	displaying	display	VERB
cana-5490	18	21	a	a	DET
cana-5490	18	22	significant	significant	ADJ
cana-5490	18	23	variation	variation	NOUN
cana-5490	18	24	between	between	ADP
cana-5490	18	25	the	the	DET
cana-5490	18	26	inner	inner	ADJ
cana-5490	18	27	and	and	CCONJ
cana-5490	18	28	outer	outer	ADJ
cana-5490	18	29	radii	radius	NOUN
cana-5490	18	30	.	.	PUNCT
cana-5490	19	1	keywords	keyword	NOUN
cana-5490	19	2	:	:	PUNCT
cana-5490	19	3	functionally	functionally	ADV
cana-5490	19	4	graded	grade	VERB
cana-5490	19	5	materials	material	NOUN
cana-5490	19	6	(	(	PUNCT
cana-5490	19	7	fgm	fgm	PROPN
cana-5490	19	8	)	)	PUNCT
cana-5490	20	1	[	[	X
cana-5490	20	2	2	2	NUM
cana-5490	20	3	]	]	PUNCT
cana-5490	20	4	,	,	PUNCT
cana-5490	20	5	magneto	magneto	ADJ
cana-5490	20	6	-	-	PUNCT
cana-5490	20	7	thermoelastic	thermoelastic	ADJ
cana-5490	20	8	behavior	behavior	NOUN
cana-5490	20	9	,	,	PUNCT
cana-5490	20	10	voigt	voigt	PROPN
cana-5490	20	11	method	method	NOUN
cana-5490	21	1	[	[	X
cana-5490	21	2	3	3	NUM
cana-5490	21	3	]	]	PUNCT
cana-5490	21	4	,	,	PUNCT
cana-5490	21	5	volume	volume	NOUN
cana-5490	21	6	fraction	fraction	NOUN
cana-5490	21	7	,	,	PUNCT
cana-5490	21	8	multi	multi	ADJ
cana-5490	21	9	-	-	ADJ
cana-5490	21	10	field	field	ADJ
cana-5490	21	11	interactions	interaction	NOUN
cana-5490	21	12	.	.	PUNCT
cana-5490	22	1	1	1	X
cana-5490	22	2	.	.	X
cana-5490	22	3	introduction	introduction	NOUN
cana-5490	22	4	magneto	magneto	NOUN
cana-5490	22	5	-	-	PUNCT
cana-5490	22	6	thermo	thermo	NOUN
cana-5490	22	7	elasticity	elasticity	NOUN
cana-5490	22	8	[	[	X
cana-5490	22	9	1	1	X
cana-5490	22	10	]	]	PUNCT
cana-5490	22	11	is	be	AUX
cana-5490	22	12	a	a	DET
cana-5490	22	13	field	field	NOUN
cana-5490	22	14	that	that	PRON
cana-5490	22	15	combines	combine	VERB
cana-5490	22	16	the	the	DET
cana-5490	22	17	principle	principle	NOUN
cana-5490	22	18	of	of	ADP
cana-5490	22	19	electromagnetic	electromagnetic	ADJ
cana-5490	22	20	effect	effect	NOUN
cana-5490	22	21	,	,	PUNCT
cana-5490	22	22	thermal	thermal	ADJ
cana-5490	22	23	changes	change	NOUN
cana-5490	22	24	and	and	CCONJ
cana-5490	22	25	elasticity	elasticity	NOUN
cana-5490	22	26	.	.	PUNCT
cana-5490	23	1	the	the	DET
cana-5490	23	2	concept	concept	NOUN
cana-5490	23	3	of	of	ADP
cana-5490	23	4	magnetothermo	magnetothermo	NOUN
cana-5490	23	5	elasticity	elasticity	NOUN
cana-5490	23	6	use	use	NOUN
cana-5490	23	7	to	to	PART
cana-5490	23	8	analyze	analyze	VERB
cana-5490	23	9	the	the	DET
cana-5490	23	10	behavior	behavior	NOUN
cana-5490	23	11	of	of	ADP
cana-5490	23	12	material	material	NOUN
cana-5490	23	13	and	and	CCONJ
cana-5490	23	14	analyze	analyze	VERB
cana-5490	23	15	the	the	DET
cana-5490	23	16	changes	change	NOUN
cana-5490	23	17	on	on	ADP
cana-5490	23	18	material	material	NOUN
cana-5490	23	19	with	with	ADP
cana-5490	23	20	the	the	DET
cana-5490	23	21	temperature	temperature	NOUN
cana-5490	23	22	changes	change	NOUN
cana-5490	23	23	,	,	PUNCT
cana-5490	23	24	magnetic	magnetic	ADJ
cana-5490	23	25	field	field	NOUN
cana-5490	23	26	and	and	CCONJ
cana-5490	23	27	temporary	temporary	ADJ
cana-5490	23	28	deformation	deformation	NOUN
cana-5490	23	29	.	.	PUNCT
cana-5490	24	1	this	this	DET
cana-5490	24	2	field	field	NOUN
cana-5490	24	3	assemble	assemble	VERB
cana-5490	24	4	effect	effect	NOUN
cana-5490	24	5	of	of	ADP
cana-5490	24	6	elasticity	elasticity	NOUN
cana-5490	24	7	,	,	PUNCT
cana-5490	24	8	conduction	conduction	NOUN
cana-5490	24	9	of	of	ADP
cana-5490	24	10	heat	heat	NOUN
cana-5490	24	11	and	and	CCONJ
cana-5490	24	12	effect	effect	NOUN
cana-5490	24	13	of	of	ADP
cana-5490	24	14	electromagnetic	electromagnetic	ADJ
cana-5490	24	15	field	field	NOUN
cana-5490	24	16	on	on	ADP
cana-5490	24	17	material	material	NOUN
cana-5490	24	18	.	.	PUNCT
cana-5490	25	1	this	this	DET
cana-5490	25	2	field	field	NOUN
cana-5490	25	3	describe	describe	VERB
cana-5490	25	4	how	how	SCONJ
cana-5490	25	5	magnetic	magnetic	ADJ
cana-5490	25	6	field	field	NOUN
cana-5490	25	7	affected	affect	VERB
cana-5490	25	8	on	on	ADP
cana-5490	25	9	stress	stress	NOUN
cana-5490	25	10	of	of	ADP
cana-5490	25	11	material	material	NOUN
cana-5490	25	12	in	in	ADP
cana-5490	25	13	form	form	NOUN
cana-5490	25	14	of	of	ADP
cana-5490	25	15	heating	heating	NOUN
cana-5490	25	16	conduction	conduction	NOUN
cana-5490	25	17	.	.	PUNCT
cana-5490	26	1	the	the	DET
cana-5490	26	2	mathematical	mathematical	ADJ
cana-5490	26	3	modeling	modeling	NOUN
cana-5490	26	4	of	of	ADP
cana-5490	26	5	magneto	magneto	ADJ
cana-5490	26	6	-	-	PUNCT
cana-5490	26	7	thermo	thermo	NOUN
cana-5490	26	8	elasticity	elasticity	NOUN
cana-5490	26	9	[	[	X
cana-5490	26	10	1	1	X
cana-5490	26	11	]	]	PUNCT
cana-5490	26	12	shows	show	VERB
cana-5490	26	13	the	the	DET
cana-5490	26	14	interaction	interaction	NOUN
cana-5490	26	15	between	between	ADP
cana-5490	26	16	temporary	temporary	ADJ
cana-5490	26	17	deformation	deformation	NOUN
cana-5490	26	18	,	,	PUNCT
cana-5490	26	19	magnetic	magnetic	ADJ
cana-5490	26	20	field	field	NOUN
cana-5490	26	21	and	and	CCONJ
cana-5490	26	22	heat	heat	NOUN
cana-5490	26	23	conduction	conduction	NOUN
cana-5490	26	24	.	.	PUNCT
cana-5490	27	1	these	these	DET
cana-5490	27	2	mathematical	mathematical	ADJ
cana-5490	27	3	modeling	modeling	NOUN
cana-5490	27	4	describes	describe	VERB
cana-5490	27	5	with	with	ADP
cana-5490	27	6	the	the	DET
cana-5490	27	7	help	help	NOUN
cana-5490	27	8	of	of	ADP
cana-5490	27	9	partial	partial	ADJ
cana-5490	27	10	differential	differential	NOUN
cana-5490	27	11	equation	equation	NOUN
cana-5490	27	12	.	.	PUNCT
cana-5490	28	1	the	the	DET
cana-5490	28	2	partial	partial	ADJ
cana-5490	28	3	differential	differential	NOUN
cana-5490	28	4	equation	equation	NOUN
cana-5490	28	5	(	(	PUNCT
cana-5490	28	6	pdes	pde	NOUN
cana-5490	28	7	)	)	PUNCT
cana-5490	28	8	shows	show	VERB
cana-5490	28	9	dynamic	dynamic	ADJ
cana-5490	28	10	property	property	NOUN
cana-5490	28	11	of	of	ADP
cana-5490	28	12	stress	stress	NOUN
cana-5490	28	13	,	,	PUNCT
cana-5490	28	14	magnetic	magnetic	ADJ
cana-5490	28	15	property	property	NOUN
cana-5490	28	16	and	and	CCONJ
cana-5490	28	17	temperature	temperature	NOUN
cana-5490	28	18	property	property	NOUN
cana-5490	28	19	of	of	ADP
cana-5490	28	20	the	the	DET
cana-5490	28	21	material	material	NOUN
cana-5490	28	22	.	.	PUNCT
cana-5490	29	1	the	the	DET
cana-5490	29	2	mathematical	mathematical	ADJ
cana-5490	29	3	modeling	modeling	NOUN
cana-5490	29	4	of	of	ADP
cana-5490	29	5	magneto	magneto	ADJ
cana-5490	29	6	-	-	PUNCT
cana-5490	29	7	thermo	thermo	NOUN
cana-5490	29	8	elasticity	elasticity	NOUN
cana-5490	29	9	[	[	X
cana-5490	29	10	1	1	X
cana-5490	29	11	]	]	PUNCT
cana-5490	29	12	includes	include	VERB
cana-5490	29	13	elasticity	elasticity	NOUN
cana-5490	29	14	equation	equation	NOUN
cana-5490	29	15	,	,	PUNCT
cana-5490	29	16	maxwell	maxwell	PROPN
cana-5490	29	17	equation	equation	NOUN
cana-5490	29	18	and	and	CCONJ
cana-5490	29	19	conduction	conduction	NOUN
cana-5490	29	20	equation	equation	NOUN
cana-5490	29	21	[	[	X
cana-5490	29	22	1	1	NUM
cana-5490	29	23	]	]	PUNCT
cana-5490	29	24	.	.	PUNCT
cana-5490	30	1	in	in	ADP
cana-5490	30	2	magneto	magneto	NOUN
cana-5490	30	3	-	-	PUNCT
cana-5490	30	4	thermo	thermo	NOUN
cana-5490	30	5	elasticity	elasticity	NOUN
cana-5490	30	6	[	[	X
cana-5490	30	7	1	1	NUM
cana-5490	30	8	]	]	X
cana-5490	30	9	relation	relation	NOUN
cana-5490	30	10	between	between	ADP
cana-5490	30	11	mechanical	mechanical	ADJ
cana-5490	30	12	and	and	CCONJ
cana-5490	30	13	thermal	thermal	ADJ
cana-5490	30	14	field	field	NOUN
cana-5490	30	15	is	be	AUX
cana-5490	30	16	complex	complex	ADJ
cana-5490	30	17	in	in	ADP
cana-5490	30	18	the	the	DET
cana-5490	30	19	case	case	NOUN
cana-5490	30	20	of	of	ADP
cana-5490	30	21	magnetic	magnetic	ADJ
cana-5490	30	22	field	field	NOUN
cana-5490	30	23	.	.	PUNCT
cana-5490	31	1	it	it	PRON
cana-5490	31	2	depend	depend	VERB
cana-5490	31	3	upon	upon	SCONJ
cana-5490	31	4	nature	nature	NOUN
cana-5490	31	5	of	of	ADP
cana-5490	31	6	material	material	NOUN
cana-5490	31	7	and	and	CCONJ
cana-5490	31	8	also	also	ADV
cana-5490	31	9	depend	depend	VERB
cana-5490	31	10	on	on	ADP
cana-5490	31	11	how	how	SCONJ
cana-5490	31	12	they	they	PRON
cana-5490	31	13	interact	interact	VERB
cana-5490	31	14	with	with	ADP
cana-5490	31	15	each	each	DET
cana-5490	31	16	other	other	ADJ
cana-5490	31	17	.	.	PUNCT
cana-5490	32	1	the	the	DET
cana-5490	32	2	main	main	ADJ
cana-5490	32	3	challenges	challenge	NOUN
cana-5490	32	4	in	in	ADP
cana-5490	32	5	the	the	DET
cana-5490	32	6	magneto	magneto	NOUN
cana-5490	32	7	-	-	PUNCT
cana-5490	32	8	thermo	thermo	NOUN
cana-5490	32	9	elasticity	elasticity	NOUN
cana-5490	32	10	[	[	X
cana-5490	32	11	1	1	NUM
cana-5490	32	12	]	]	PUNCT
cana-5490	32	13	are	be	AUX
cana-5490	32	14	thermal	thermal	ADJ
cana-5490	32	15	shock	shock	NOUN
cana-5490	32	16	on	on	ADP
cana-5490	32	17	material	material	NOUN
cana-5490	32	18	in	in	ADP
cana-5490	32	19	the	the	DET
cana-5490	32	20	presence	presence	NOUN
cana-5490	32	21	of	of	ADP
cana-5490	32	22	magnetic	magnetic	ADJ
cana-5490	32	23	field	field	NOUN
cana-5490	32	24	.	.	PUNCT
cana-5490	33	1	when	when	SCONJ
cana-5490	33	2	a	a	DET
cana-5490	33	3	material	material	NOUN
cana-5490	33	4	experience	experience	NOUN
cana-5490	33	5	sudden	sudden	ADJ
cana-5490	33	6	change	change	NOUN
cana-5490	33	7	of	of	ADP
cana-5490	33	8	temperature	temperature	NOUN
cana-5490	33	9	,	,	PUNCT
cana-5490	33	10	the	the	DET
cana-5490	33	11	material	material	NOUN
cana-5490	33	12	leading	lead	VERB
cana-5490	33	13	to	to	ADP
cana-5490	33	14	the	the	DET
cana-5490	33	15	distribution	distribution	NOUN
cana-5490	33	16	of	of	ADP
cana-5490	33	17	stress	stress	NOUN
cana-5490	33	18	.	.	PUNCT
cana-5490	34	1	this	this	DET
cana-5490	34	2	incident	incident	NOUN
cana-5490	34	3	becomes	become	VERB
cana-5490	34	4	more	more	ADV
cana-5490	34	5	complex	complex	ADJ
cana-5490	34	6	in	in	ADP
cana-5490	34	7	the	the	DET
cana-5490	34	8	presence	presence	NOUN
cana-5490	34	9	of	of	ADP
cana-5490	34	10	magnetic	magnetic	ADJ
cana-5490	34	11	field	field	NOUN
cana-5490	34	12	and	and	CCONJ
cana-5490	34	13	effects	effect	NOUN
cana-5490	34	14	of	of	ADP
cana-5490	34	15	thermal	thermal	ADJ
cana-5490	34	16	property	property	NOUN
cana-5490	34	17	.	.	PUNCT
cana-5490	35	1	it	it	PRON
cana-5490	35	2	is	be	AUX
cana-5490	35	3	important	important	ADJ
cana-5490	35	4	to	to	PART
cana-5490	35	5	understand	understand	VERB
cana-5490	35	6	how	how	SCONJ
cana-5490	35	7	thermal	thermal	ADJ
cana-5490	35	8	shock	shock	NOUN
cana-5490	35	9	interact	interact	VERB
cana-5490	35	10	with	with	ADP
cana-5490	35	11	magnetic	magnetic	ADJ
cana-5490	35	12	field	field	NOUN
cana-5490	35	13	and	and	CCONJ
cana-5490	35	14	how	how	SCONJ
cana-5490	35	15	they	they	PRON
cana-5490	35	16	affect	affect	VERB
cana-5490	35	17	displacement	displacement	ADJ
cana-5490	35	18	field	field	NOUN
cana-5490	35	19	and	and	CCONJ
cana-5490	35	20	stress	stress	NOUN
cana-5490	35	21	in	in	ADP
cana-5490	35	22	material	material	NOUN
cana-5490	35	23	.	.	PUNCT
cana-5490	36	1	the	the	DET
cana-5490	36	2	field	field	NOUN
cana-5490	36	3	of	of	ADP
cana-5490	36	4	magneto	magneto	ADJ
cana-5490	36	5	-	-	PUNCT
cana-5490	36	6	thermo	thermo	NOUN
cana-5490	36	7	elasticity	elasticity	NOUN
cana-5490	36	8	[	[	X
cana-5490	36	9	1	1	X
cana-5490	36	10	]	]	X
cana-5490	36	11	faced	faced	ADJ
cana-5490	36	12	challenges	challenge	NOUN
cana-5490	36	13	in	in	ADP
cana-5490	36	14	domain	domain	NOUN
cana-5490	36	15	of	of	ADP
cana-5490	36	16	dynamic	dynamic	ADJ
cana-5490	36	17	interaction	interaction	NOUN
cana-5490	36	18	,	,	PUNCT
cana-5490	36	19	coupling	couple	VERB
cana-5490	36	20	effect	effect	NOUN
cana-5490	36	21	,	,	PUNCT
cana-5490	36	22	non	non	ADJ
cana-5490	36	23	-	-	ADJ
cana-5490	36	24	linearity	linearity	ADJ
cana-5490	36	25	,	,	PUNCT
cana-5490	36	26	thermal	thermal	ADJ
cana-5490	36	27	shock	shock	NOUN
cana-5490	36	28	.	.	PUNCT
cana-5490	37	1	this	this	DET
cana-5490	37	2	study	study	NOUN
cana-5490	37	3	delves	delve	VERB
cana-5490	37	4	intricate	intricate	ADJ
cana-5490	37	5	relation	relation	NOUN
cana-5490	37	6	between	between	ADP
cana-5490	37	7	stress	stress	NOUN
cana-5490	37	8	in	in	ADP
cana-5490	37	9	mechanical	mechanical	ADJ
cana-5490	37	10	field	field	NOUN
cana-5490	37	11	,	,	PUNCT
cana-5490	37	12	thermal	thermal	ADJ
cana-5490	37	13	gradient	gradient	NOUN
cana-5490	37	14	and	and	CCONJ
cana-5490	37	15	magnetic	magnetic	ADJ
cana-5490	37	16	fields	field	NOUN
cana-5490	37	17	in	in	ADP
cana-5490	37	18	solid	solid	ADJ
cana-5490	37	19	types	type	NOUN
cana-5490	37	20	of	of	ADP
cana-5490	37	21	material	material	NOUN
cana-5490	37	22	.	.	PUNCT
cana-5490	38	1	the	the	DET
cana-5490	38	2	aim	aim	NOUN
cana-5490	38	3	of	of	ADP
cana-5490	38	4	this	this	DET
cana-5490	38	5	study	study	NOUN
cana-5490	38	6	to	to	PART
cana-5490	38	7	progress	progress	VERB
cana-5490	38	8	a	a	DET
cana-5490	38	9	framework	framework	NOUN
cana-5490	38	10	for	for	ADP
cana-5490	38	11	analyze	analyze	VERB
cana-5490	38	12	the	the	DET
cana-5490	38	13	way	way	NOUN
cana-5490	38	14	of	of	ADP
cana-5490	38	15	acting	act	VERB
cana-5490	38	16	of	of	ADP
cana-5490	38	17	magnetothermo	magnetothermo	NOUN
cana-5490	38	18	-	-	PUNCT
cana-5490	38	19	elastic	elastic	ADJ
cana-5490	38	20	systems	system	NOUN
cana-5490	38	21	under	under	ADP
cana-5490	38	22	conditions	condition	NOUN
cana-5490	38	23	of	of	ADP
cana-5490	38	24	external	external	ADJ
cana-5490	38	25	magnetic	magnetic	ADJ
cana-5490	38	26	field	field	NOUN
cana-5490	38	27	and	and	CCONJ
cana-5490	38	28	heat	heat	NOUN
cana-5490	38	29	source	source	NOUN
cana-5490	38	30	.	.	PUNCT
cana-5490	39	1	by	by	ADP
cana-5490	39	2	analyzing	analyze	VERB
cana-5490	39	3	all	all	DET
cana-5490	39	4	communications	communication	NOUN
cana-5490	39	5	on	on	ADP
cana-5490	39	6	applied	apply	VERB
cana-5490	39	7	nonlinear	nonlinear	ADJ
cana-5490	39	8	analysis	analysis	NOUN
cana-5490	39	9	issn	issn	NOUN
cana-5490	39	10	:	:	PUNCT
cana-5490	39	11	1074	1074	NUM
cana-5490	39	12	-	-	PUNCT
cana-5490	39	13	133x	133x	NUM
cana-5490	39	14	vol	vol	VERB
cana-5490	39	15	32	32	NUM
cana-5490	39	16	no	no	NOUN
cana-5490	39	17	.	.	PUNCT
cana-5490	40	1	10s	10	NOUN
cana-5490	40	2	(	(	PUNCT
cana-5490	40	3	2025	2025	NUM
cana-5490	40	4	)	)	PUNCT
cana-5490	40	5	2424	2424	NUM
cana-5490	40	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	40	7	interaction	interaction	NOUN
cana-5490	40	8	this	this	DET
cana-5490	40	9	study	study	NOUN
cana-5490	40	10	used	use	VERB
cana-5490	40	11	for	for	ADP
cana-5490	40	12	enhance	enhance	NOUN
cana-5490	40	13	engineering	engineering	NOUN
cana-5490	40	14	applications	application	NOUN
cana-5490	40	15	and	and	CCONJ
cana-5490	40	16	materials	material	NOUN
cana-5490	40	17	performance	performance	NOUN
cana-5490	40	18	in	in	ADP
cana-5490	40	19	the	the	DET
cana-5490	40	20	presence	presence	NOUN
cana-5490	40	21	of	of	ADP
cana-5490	40	22	magnetic	magnetic	ADJ
cana-5490	40	23	thermal	thermal	ADJ
cana-5490	40	24	environment	environment	NOUN
cana-5490	40	25	.	.	PUNCT
cana-5490	41	1	magneto	magneto	NOUN
cana-5490	41	2	-	-	PUNCT
cana-5490	41	3	thermo	thermo	NOUN
cana-5490	41	4	elasticity	elasticity	NOUN
cana-5490	41	5	[	[	X
cana-5490	41	6	1	1	NUM
cana-5490	41	7	]	]	PUNCT
cana-5490	41	8	represents	represent	VERB
cana-5490	41	9	a	a	DET
cana-5490	41	10	complex	complex	ADJ
cana-5490	41	11	area	area	NOUN
cana-5490	41	12	of	of	ADP
cana-5490	41	13	study	study	NOUN
cana-5490	41	14	that	that	PRON
cana-5490	41	15	includes	include	VERB
cana-5490	41	16	concept	concept	NOUN
cana-5490	41	17	of	of	ADP
cana-5490	41	18	electromagnetism	electromagnetism	NOUN
cana-5490	41	19	,	,	PUNCT
cana-5490	41	20	thermodynamics	thermodynamic	NOUN
cana-5490	41	21	and	and	CCONJ
cana-5490	41	22	elasticity	elasticity	NOUN
cana-5490	41	23	to	to	PART
cana-5490	41	24	analyze	analyze	VERB
cana-5490	41	25	the	the	DET
cana-5490	41	26	behavior	behavior	NOUN
cana-5490	41	27	of	of	ADP
cana-5490	41	28	materials	material	NOUN
cana-5490	41	29	in	in	ADP
cana-5490	41	30	different	different	ADJ
cana-5490	41	31	-	-	PUNCT
cana-5490	41	32	different	different	ADJ
cana-5490	41	33	applications	application	NOUN
cana-5490	41	34	.	.	PUNCT
cana-5490	42	1	as	as	ADP
cana-5490	42	2	technology	technology	NOUN
cana-5490	42	3	advances	advance	NOUN
cana-5490	42	4	,	,	PUNCT
cana-5490	42	5	the	the	DET
cana-5490	42	6	importance	importance	NOUN
cana-5490	42	7	of	of	ADP
cana-5490	42	8	understanding	understand	VERB
cana-5490	42	9	this	this	DET
cana-5490	42	10	interaction	interaction	NOUN
cana-5490	42	11	will	will	AUX
cana-5490	42	12	grow	grow	VERB
cana-5490	42	13	.	.	PUNCT
cana-5490	43	1	2	2	X
cana-5490	43	2	.	.	X
cana-5490	43	3	equations	equation	NOUN
cana-5490	43	4	of	of	ADP
cana-5490	43	5	generalized	generalized	ADJ
cana-5490	43	6	thermoelasticity	thermoelasticity	NOUN
cana-5490	43	7	the	the	DET
cana-5490	43	8	basic	basic	ADJ
cana-5490	43	9	equations	equation	NOUN
cana-5490	43	10	of	of	ADP
cana-5490	43	11	linear	linear	PROPN
cana-5490	43	12	thermoelasticity	thermoelasticity	NOUN
cana-5490	43	13	[	[	X
cana-5490	43	14	4	4	X
cana-5490	43	15	]	]	PUNCT
cana-5490	43	16	for	for	ADP
cana-5490	43	17	different	different	ADJ
cana-5490	43	18	models	model	NOUN
cana-5490	43	19	for	for	ADP
cana-5490	43	20	isotropic	isotropic	ADJ
cana-5490	43	21	and	and	CCONJ
cana-5490	43	22	homogeneous	homogeneous	ADJ
cana-5490	43	23	thermo	thermo	NOUN
cana-5490	43	24	-	-	PUNCT
cana-5490	43	25	elastic	elastic	ADJ
cana-5490	43	26	solid	solid	NOUN
cana-5490	43	27	are	be	AUX
cana-5490	43	28	as	as	SCONJ
cana-5490	43	29	follows	follow	VERB
cana-5490	43	30	:	:	PUNCT
cana-5490	43	31	classical	classical	ADJ
cana-5490	43	32	thermoelasticity	thermoelasticity	NOUN
cana-5490	43	33	(	(	PUNCT
cana-5490	43	34	cte	cte	NOUN
cana-5490	43	35	):	):	PUNCT
cana-5490	43	36	constitutive	constitutive	ADJ
cana-5490	43	37	relations	relation	NOUN
cana-5490	43	38	:	:	PUNCT
cana-5490	43	39	𝜏𝑖	𝜏𝑖	VERB
cana-5490	43	40	𝑗	𝑗	NOUN
cana-5490	43	41	=	=	PUNCT
cana-5490	43	42	𝜆	𝜆	PRON
cana-5490	43	43	δ	δ	PROPN
cana-5490	43	44	𝛿𝑖	𝛿𝑖	ADP
cana-5490	43	45	𝑗	𝑗	NOUN
cana-5490	43	46	+	+	NUM
cana-5490	43	47	2𝜇	2𝜇	NUM
cana-5490	43	48	𝑒𝑖	𝑒𝑖	ADP
cana-5490	43	49	𝑗	𝑗	PROPN
cana-5490	43	50	−	−	PROPN
cana-5490	43	51	𝛽	𝛽	PROPN
cana-5490	43	52	𝑇	𝑇	PROPN
cana-5490	43	53	𝛿𝑖	𝛿𝑖	PROPN
cana-5490	43	54	j	j	PROPN
cana-5490	43	55	;	;	PUNCT
cana-5490	43	56	(	(	PUNCT
cana-5490	43	57	𝑖	𝑖	X
cana-5490	43	58	,	,	PUNCT
cana-5490	43	59	=	=	NOUN
cana-5490	43	60	1,2,3	1,2,3	NUM
cana-5490	43	61	)	)	PUNCT
cana-5490	43	62	(	(	PUNCT
cana-5490	43	63	1	1	X
cana-5490	43	64	)	)	PUNCT
cana-5490	43	65	where	where	SCONJ
cana-5490	43	66	𝜆	𝜆	X
cana-5490	43	67	,	,	PUNCT
cana-5490	43	68	𝜇	𝜇	ADP
cana-5490	43	69	are	be	AUX
cana-5490	43	70	lame	lame	ADJ
cana-5490	43	71	constants	constant	NOUN
cana-5490	43	72	,	,	PUNCT
cana-5490	43	73	𝛽	𝛽	NOUN
cana-5490	43	74	=	=	PUNCT
cana-5490	43	75	(	(	PUNCT
cana-5490	43	76	3	3	NUM
cana-5490	43	77	𝜆	𝜆	NOUN
cana-5490	43	78	+	+	ADJ
cana-5490	43	79	2	2	NUM
cana-5490	43	80	𝜇)𝛼𝑡	𝜇)𝛼𝑡	PROPN
cana-5490	43	81	,	,	PUNCT
cana-5490	43	82	𝛼𝑡	𝛼𝑡	PROPN
cana-5490	43	83	is	be	AUX
cana-5490	43	84	the	the	DET
cana-5490	43	85	coefficient	coefficient	NOUN
cana-5490	43	86	of	of	ADP
cana-5490	43	87	the	the	DET
cana-5490	43	88	material	material	NOUN
cana-5490	43	89	’s	’s	PART
cana-5490	43	90	linear	linear	ADJ
cana-5490	43	91	thermal	thermal	ADJ
cana-5490	43	92	expansion	expansion	NOUN
cana-5490	43	93	,	,	PUNCT
cana-5490	43	94	𝜏𝑖𝑗	𝜏𝑖𝑗	PROPN
cana-5490	43	95	is	be	AUX
cana-5490	43	96	the	the	DET
cana-5490	43	97	stress	stress	NOUN
cana-5490	43	98	tensor	tensor	NOUN
cana-5490	43	99	,	,	PUNCT
cana-5490	43	100	𝑇	𝑇	PROPN
cana-5490	43	101	is	be	AUX
cana-5490	43	102	the	the	DET
cana-5490	43	103	increase	increase	NOUN
cana-5490	43	104	in	in	ADP
cana-5490	43	105	temperature	temperature	NOUN
cana-5490	43	106	above	above	ADP
cana-5490	43	107	the	the	DET
cana-5490	43	108	reference	reference	NOUN
cana-5490	43	109	temperature	temperature	NOUN
cana-5490	43	110	𝑇0	𝑇0	NOUN
cana-5490	43	111	and	and	CCONJ
cana-5490	43	112	δ	δ	PROPN
cana-5490	43	113	=	=	PUNCT
cana-5490	43	114	𝑢𝑖	𝑢𝑖	NOUN
cana-5490	43	115	,	,	PUNCT
cana-5490	43	116	𝑖	𝑖	X
cana-5490	43	117	(	(	PUNCT
cana-5490	43	118	dilatation	dilatation	NOUN
cana-5490	43	119	)	)	PUNCT
cana-5490	43	120	.	.	PUNCT
cana-5490	44	1	strain	strain	NOUN
cana-5490	44	2	–	–	PUNCT
cana-5490	44	3	displacement	displacement	ADJ
cana-5490	44	4	relations	relation	NOUN
cana-5490	44	5	:	:	PUNCT
cana-5490	44	6	ei	ei	NOUN
cana-5490	44	7	j	j	PROPN
cana-5490	44	8	=	=	SYM
cana-5490	44	9	(	(	PUNCT
cana-5490	44	10	ui	ui	PROPN
cana-5490	44	11	,	,	PUNCT
cana-5490	44	12	j	j	PROPN
cana-5490	44	13	+	+	CCONJ
cana-5490	44	14	uj	uj	PROPN
cana-5490	44	15	,	,	PUNCT
cana-5490	44	16	i)/2	i)/2	PROPN
cana-5490	44	17	(	(	PUNCT
cana-5490	44	18	2	2	NUM
cana-5490	44	19	)	)	PUNCT
cana-5490	44	20	classical	classical	ADJ
cana-5490	44	21	fourier	fourier	NOUN
cana-5490	44	22	law	law	NOUN
cana-5490	44	23	:	:	PUNCT
cana-5490	44	24	equations	equation	NOUN
cana-5490	44	25	(	(	PUNCT
cana-5490	44	26	1	1	NUM
cana-5490	44	27	)	)	PUNCT
cana-5490	44	28	and	and	CCONJ
cana-5490	44	29	(	(	PUNCT
cana-5490	44	30	2	2	X
cana-5490	44	31	)	)	PUNCT
cana-5490	44	32	are	be	AUX
cana-5490	44	33	to	to	PART
cana-5490	44	34	be	be	AUX
cana-5490	44	35	augmented	augment	VERB
cana-5490	44	36	by	by	ADP
cana-5490	44	37	classical	classical	ADJ
cana-5490	44	38	fourier	fourier	NOUN
cana-5490	44	39	law	law	NOUN
cana-5490	44	40	connecting	connect	VERB
cana-5490	44	41	the	the	DET
cana-5490	44	42	heat	heat	NOUN
cana-5490	44	43	flux	flux	NOUN
cana-5490	44	44	vector	vector	PROPN
cana-5490	44	45	q	q	NOUN
cana-5490	44	46	with	with	ADP
cana-5490	44	47	the	the	DET
cana-5490	44	48	temperature	temperature	NOUN
cana-5490	44	49	gradient	gradient	NOUN
cana-5490	44	50	∇	∇	X
cana-5490	44	51	t	t	X
cana-5490	44	52	through	through	ADP
cana-5490	44	53	the	the	DET
cana-5490	44	54	equation	equation	NOUN
cana-5490	44	55	qi	qi	NOUN
cana-5490	44	56	=	=	PROPN
cana-5490	44	57	−k	−k	PROPN
cana-5490	44	58	t	t	PROPN
cana-5490	44	59	,	,	PUNCT
cana-5490	44	60	i	i	PRON
cana-5490	44	61	,	,	PUNCT
cana-5490	44	62	i	i	PRON
cana-5490	44	63	=	=	NOUN
cana-5490	44	64	1	1	NUM
cana-5490	44	65	,	,	PUNCT
cana-5490	44	66	2	2	NUM
cana-5490	44	67	,	,	PUNCT
cana-5490	44	68	3	3	NUM
cana-5490	44	69	(	(	PUNCT
cana-5490	44	70	3	3	NUM
cana-5490	44	71	)	)	PUNCT
cana-5490	44	72	i.e.	i.e.	X
cana-5490	44	73	,	,	PUNCT
cana-5490	44	74	the	the	DET
cana-5490	44	75	heat	heat	NOUN
cana-5490	44	76	flux	flux	NOUN
cana-5490	44	77	vector	vector	NOUN
cana-5490	44	78	is	be	AUX
cana-5490	44	79	the	the	DET
cana-5490	44	80	immediate	immediate	ADJ
cana-5490	44	81	result	result	NOUN
cana-5490	44	82	of	of	ADP
cana-5490	44	83	a	a	DET
cana-5490	44	84	temperature	temperature	NOUN
cana-5490	44	85	gradient	gradient	NOUN
cana-5490	44	86	.	.	PUNCT
cana-5490	45	1	here	here	ADV
cana-5490	45	2	k	k	X
cana-5490	45	3	>	>	X
cana-5490	45	4	0	0	PUNCT
cana-5490	45	5	is	be	AUX
cana-5490	45	6	the	the	DET
cana-5490	45	7	thermal	thermal	ADJ
cana-5490	45	8	conductivity	conductivity	NOUN
cana-5490	45	9	of	of	ADP
cana-5490	45	10	the	the	DET
cana-5490	45	11	solid	solid	ADJ
cana-5490	45	12	material	material	NOUN
cana-5490	45	13	.	.	PUNCT
cana-5490	46	1	law	law	NOUN
cana-5490	46	2	of	of	ADP
cana-5490	46	3	conservation	conservation	NOUN
cana-5490	46	4	of	of	ADP
cana-5490	46	5	internal	internal	ADJ
cana-5490	46	6	energy	energy	NOUN
cana-5490	46	7	:	:	PUNCT
cana-5490	46	8	−	−	PROPN
cana-5490	46	9	qi	qi	PROPN
cana-5490	46	10	,	,	PUNCT
cana-5490	46	11	i	i	PROPN
cana-5490	46	12	+	+	NOUN
cana-5490	46	13	ρ	ρ	PROPN
cana-5490	46	14	q	q	NOUN
cana-5490	46	15	=	=	SYM
cana-5490	46	16	ρ	ρ	PROPN
cana-5490	46	17	ce	ce	PROPN
cana-5490	46	18	t	t	PROPN
cana-5490	46	19	,	,	PUNCT
cana-5490	46	20	i	i	PRON
cana-5490	46	21	=	=	NOUN
cana-5490	46	22	1	1	NUM
cana-5490	46	23	,	,	PUNCT
cana-5490	46	24	2	2	NUM
cana-5490	46	25	,	,	PUNCT
cana-5490	46	26	3	3	NUM
cana-5490	46	27	(	(	PUNCT
cana-5490	46	28	4	4	NUM
cana-5490	46	29	)	)	PUNCT
cana-5490	46	30	here	here	ADV
cana-5490	46	31	q	q	X
cana-5490	46	32	is	be	AUX
cana-5490	46	33	the	the	DET
cana-5490	46	34	heat	heat	NOUN
cana-5490	46	35	source	source	NOUN
cana-5490	46	36	and	and	CCONJ
cana-5490	46	37	c	c	NOUN
cana-5490	46	38	e	e	NOUN
cana-5490	46	39	is	be	AUX
cana-5490	46	40	the	the	DET
cana-5490	46	41	specific	specific	ADJ
cana-5490	46	42	heat	heat	NOUN
cana-5490	46	43	of	of	ADP
cana-5490	46	44	the	the	DET
cana-5490	46	45	solid	solid	ADJ
cana-5490	46	46	at	at	ADP
cana-5490	46	47	constant	constant	ADJ
cana-5490	46	48	strain	strain	NOUN
cana-5490	46	49	.	.	PUNCT
cana-5490	47	1	a	a	DET
cana-5490	47	2	superposed	superpose	VERB
cana-5490	47	3	dot	dot	NOUN
cana-5490	47	4	denotes	denote	NOUN
cana-5490	47	5	the	the	DET
cana-5490	47	6	partial	partial	ADJ
cana-5490	47	7	derivative	derivative	NOUN
cana-5490	47	8	with	with	ADP
cana-5490	47	9	respect	respect	NOUN
cana-5490	47	10	to	to	ADP
cana-5490	47	11	time	time	NOUN
cana-5490	47	12	.	.	PUNCT
cana-5490	48	1	classical	classical	ADJ
cana-5490	48	2	heat	heat	NOUN
cana-5490	48	3	transport	transport	NOUN
cana-5490	48	4	equation	equation	NOUN
cana-5490	48	5	:	:	PUNCT
cana-5490	48	6	equation	equation	NOUN
cana-5490	48	7	(	(	PUNCT
cana-5490	48	8	3	3	NUM
cana-5490	48	9	)	)	PUNCT
cana-5490	48	10	and	and	CCONJ
cana-5490	48	11	(	(	PUNCT
cana-5490	48	12	4	4	X
cana-5490	48	13	)	)	PUNCT
cana-5490	48	14	together	together	ADV
cana-5490	48	15	give	give	VERB
cana-5490	48	16	the	the	DET
cana-5490	48	17	parabolic	parabolic	ADJ
cana-5490	48	18	type	type	NOUN
cana-5490	48	19	of	of	ADP
cana-5490	48	20	heat	heat	NOUN
cana-5490	48	21	transport	transport	NOUN
cana-5490	48	22	equation	equation	NOUN
cana-5490	48	23	as	as	ADP
cana-5490	48	24	:	:	PUNCT
cana-5490	48	25	k∇2	k∇2	PROPN
cana-5490	48	26	t	t	PROPN
cana-5490	48	27	+	+	CCONJ
cana-5490	48	28	ρ	ρ	PROPN
cana-5490	48	29	q	q	PROPN
cana-5490	48	30	=	=	SYM
cana-5490	48	31	ρ	ρ	PROPN
cana-5490	48	32	ce	ce	PROPN
cana-5490	48	33	t	t	PROPN
cana-5490	48	34	(	(	PUNCT
cana-5490	48	35	5	5	NUM
cana-5490	48	36	)	)	PUNCT
cana-5490	48	37	communications	communication	NOUN
cana-5490	48	38	on	on	ADP
cana-5490	48	39	applied	apply	VERB
cana-5490	48	40	nonlinear	nonlinear	ADJ
cana-5490	48	41	analysis	analysis	NOUN
cana-5490	48	42	issn	issn	NOUN
cana-5490	48	43	:	:	PUNCT
cana-5490	48	44	1074	1074	NUM
cana-5490	48	45	-	-	PUNCT
cana-5490	48	46	133x	133x	NUM
cana-5490	48	47	vol	vol	VERB
cana-5490	48	48	32	32	NUM
cana-5490	48	49	no	no	NOUN
cana-5490	48	50	.	.	PUNCT
cana-5490	49	1	10s	10	NOUN
cana-5490	49	2	(	(	PUNCT
cana-5490	49	3	2025	2025	NUM
cana-5490	49	4	)	)	PUNCT
cana-5490	49	5	2425	2425	NUM
cana-5490	49	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	49	7	equations	equation	NOUN
cana-5490	49	8	of	of	ADP
cana-5490	49	9	motion	motion	NOUN
cana-5490	49	10	:	:	PUNCT
cana-5490	49	11	stress	stress	NOUN
cana-5490	49	12	equations	equation	NOUN
cana-5490	49	13	of	of	ADP
cana-5490	49	14	motion	motion	NOUN
cana-5490	49	15	:	:	PUNCT
cana-5490	50	1	τij	τij	NOUN
cana-5490	50	2	,	,	PUNCT
cana-5490	50	3	j	j	PROPN
cana-5490	50	4	+	+	CCONJ
cana-5490	50	5	ρ	ρ	PROPN
cana-5490	50	6	fi	fi	NOUN
cana-5490	50	7	=	=	NOUN
cana-5490	50	8	ρ	ρ	PROPN
cana-5490	50	9	ui	ui	PROPN
cana-5490	50	10	,	,	PUNCT
cana-5490	50	11	(	(	PUNCT
cana-5490	50	12	i	i	PRON
cana-5490	50	13	,	,	PUNCT
cana-5490	50	14	j	j	PROPN
cana-5490	50	15	=	=	NOUN
cana-5490	50	16	1,2,3	1,2,3	NUM
cana-5490	50	17	)	)	PUNCT
cana-5490	50	18	(	(	PUNCT
cana-5490	50	19	6	6	NUM
cana-5490	50	20	)	)	PUNCT
cana-5490	50	21	where	where	SCONJ
cana-5490	50	22	fi	fi	NOUN
cana-5490	50	23	are	be	AUX
cana-5490	50	24	the	the	DET
cana-5490	50	25	body	body	NOUN
cana-5490	50	26	force	force	NOUN
cana-5490	50	27	components	component	NOUN
cana-5490	50	28	and	and	CCONJ
cana-5490	50	29	τij	τij	NOUN
cana-5490	50	30	are	be	AUX
cana-5490	50	31	given	give	VERB
cana-5490	50	32	by	by	ADP
cana-5490	50	33	equations	equation	NOUN
cana-5490	50	34	(	(	PUNCT
cana-5490	50	35	1	1	NUM
cana-5490	50	36	)	)	PUNCT
cana-5490	50	37	.	.	PUNCT
cana-5490	51	1	displacement	displacement	ADJ
cana-5490	51	2	equations	equation	NOUN
cana-5490	51	3	of	of	ADP
cana-5490	51	4	motion	motion	NOUN
cana-5490	51	5	:	:	PUNCT
cana-5490	51	6	(	(	PUNCT
cana-5490	51	7	λ	λ	X
cana-5490	51	8	+	+	CCONJ
cana-5490	51	9	μ)uj	μ)uj	ADJ
cana-5490	51	10	,	,	PUNCT
cana-5490	51	11	ij	ij	NOUN
cana-5490	51	12	+	+	X
cana-5490	51	13	μ	μ	PROPN
cana-5490	51	14	ui	ui	PROPN
cana-5490	51	15	,	,	PUNCT
cana-5490	51	16	jj	jj	PROPN
cana-5490	51	17	−	−	PROPN
cana-5490	51	18	β	β	PROPN
cana-5490	51	19	t	t	PROPN
cana-5490	51	20	,	,	PUNCT
cana-5490	51	21	i	i	PROPN
cana-5490	51	22	+	+	NOUN
cana-5490	51	23	ρ	ρ	NOUN
cana-5490	51	24	fi	fi	NOUN
cana-5490	51	25	=	=	SYM
cana-5490	51	26	ρ	ρ	PROPN
cana-5490	51	27	ui	ui	PROPN
cana-5490	51	28	(	(	PUNCT
cana-5490	51	29	7	7	NUM
cana-5490	51	30	)	)	PUNCT
cana-5490	51	31	equations	equation	NOUN
cana-5490	51	32	(	(	PUNCT
cana-5490	51	33	1	1	NUM
cana-5490	51	34	)	)	PUNCT
cana-5490	51	35	,	,	PUNCT
cana-5490	51	36	(	(	PUNCT
cana-5490	51	37	5	5	NUM
cana-5490	51	38	)	)	PUNCT
cana-5490	51	39	and	and	CCONJ
cana-5490	51	40	(	(	PUNCT
cana-5490	51	41	6	6	NUM
cana-5490	51	42	)	)	PUNCT
cana-5490	52	1	[	[	X
cana-5490	52	2	or	or	CCONJ
cana-5490	52	3	(	(	PUNCT
cana-5490	52	4	7	7	NUM
cana-5490	52	5	)	)	PUNCT
cana-5490	52	6	]	]	PUNCT
cana-5490	52	7	constitute	constitute	VERB
cana-5490	52	8	the	the	DET
cana-5490	52	9	complete	complete	ADJ
cana-5490	52	10	mathematical	mathematical	ADJ
cana-5490	52	11	model	model	NOUN
cana-5490	52	12	of	of	ADP
cana-5490	52	13	the	the	DET
cana-5490	52	14	classical	classical	ADJ
cana-5490	52	15	theory	theory	NOUN
cana-5490	52	16	of	of	ADP
cana-5490	52	17	thermoelasticity	thermoelasticity	NOUN
cana-5490	52	18	(	(	PUNCT
cana-5490	52	19	cte	cte	NOUN
cana-5490	52	20	)	)	PUNCT
cana-5490	53	1	[	[	X
cana-5490	53	2	4	4	NUM
cana-5490	53	3	]	]	PUNCT
cana-5490	53	4	.	.	PUNCT
cana-5490	54	1	3	3	X
cana-5490	54	2	.	.	X
cana-5490	54	3	rotating	rotate	VERB
cana-5490	54	4	functionally	functionally	ADV
cana-5490	54	5	graded	grade	VERB
cana-5490	54	6	shell	shell	NOUN
cana-5490	54	7	designing	designing	NOUN
cana-5490	54	8	:	:	PUNCT
cana-5490	54	9	rotating	rotate	VERB
cana-5490	54	10	functionally	functionally	ADV
cana-5490	54	11	graded	grade	VERB
cana-5490	54	12	shell	shell	NOUN
cana-5490	54	13	design	design	NOUN
cana-5490	54	14	using	use	VERB
cana-5490	54	15	combination	combination	NOUN
cana-5490	54	16	of	of	ADP
cana-5490	54	17	material	material	NOUN
cana-5490	54	18	.	.	PUNCT
cana-5490	55	1	the	the	DET
cana-5490	55	2	fgm	fgm	PROPN
cana-5490	55	3	shell	shell	NOUN
cana-5490	55	4	under	under	ADP
cana-5490	55	5	magnetic	magnetic	ADJ
cana-5490	55	6	field	field	NOUN
cana-5490	55	7	,	,	PUNCT
cana-5490	55	8	mechanical	mechanical	ADJ
cana-5490	55	9	load	load	NOUN
cana-5490	55	10	,	,	PUNCT
cana-5490	55	11	thermal	thermal	ADJ
cana-5490	55	12	conditions	condition	NOUN
cana-5490	55	13	are	be	AUX
cana-5490	55	14	shown	show	VERB
cana-5490	55	15	in	in	ADP
cana-5490	55	16	figure	figure	NOUN
cana-5490	55	17	1	1	NUM
cana-5490	55	18	.	.	PUNCT
cana-5490	56	1	the	the	DET
cana-5490	56	2	structure	structure	NOUN
cana-5490	56	3	of	of	ADP
cana-5490	56	4	fgm	fgm	PROPN
cana-5490	56	5	shell	shell	NOUN
cana-5490	56	6	is	be	AUX
cana-5490	56	7	cylindrical	cylindrical	ADJ
cana-5490	56	8	.	.	PUNCT
cana-5490	57	1	the	the	DET
cana-5490	57	2	inner	inner	ADJ
cana-5490	57	3	and	and	CCONJ
cana-5490	57	4	outer	outer	ADJ
cana-5490	57	5	radius	radius	NOUN
cana-5490	57	6	is	be	AUX
cana-5490	57	7	denoted	denote	VERB
cana-5490	57	8	,	,	PUNCT
cana-5490	57	9	showing	show	VERB
cana-5490	57	10	the	the	DET
cana-5490	57	11	dimensions	dimension	NOUN
cana-5490	57	12	of	of	ADP
cana-5490	57	13	the	the	DET
cana-5490	57	14	tube	tube	NOUN
cana-5490	58	1	[	[	X
cana-5490	58	2	2	2	NUM
cana-5490	58	3	]	]	PUNCT
cana-5490	58	4	.	.	PUNCT
cana-5490	59	1	figure	figure	NOUN
cana-5490	59	2	1	1	NUM
cana-5490	59	3	:	:	PUNCT
cana-5490	59	4	a	a	DET
cana-5490	59	5	diagram	diagram	NOUN
cana-5490	59	6	of	of	ADP
cana-5490	59	7	a	a	DET
cana-5490	59	8	long	long	ADJ
cana-5490	59	9	fgm	fgm	PROPN
cana-5490	59	10	tube	tube	NOUN
cana-5490	59	11	subjected	subject	VERB
cana-5490	59	12	to	to	ADP
cana-5490	59	13	mechanical	mechanical	ADJ
cana-5490	59	14	loads	load	NOUN
cana-5490	59	15	,	,	PUNCT
cana-5490	59	16	thermal	thermal	ADJ
cana-5490	59	17	loads	load	NOUN
cana-5490	59	18	and	and	CCONJ
cana-5490	59	19	magnetic	magnetic	ADJ
cana-5490	59	20	field	field	NOUN
cana-5490	59	21	.	.	PUNCT
cana-5490	60	1	load	load	NOUN
cana-5490	60	2	conditions	condition	NOUN
cana-5490	60	3	:	:	PUNCT
cana-5490	60	4	1	1	X
cana-5490	60	5	.	.	X
cana-5490	60	6	thermal	thermal	ADJ
cana-5490	60	7	load	load	NOUN
cana-5490	60	8	this	this	DET
cana-5490	60	9	load	load	NOUN
cana-5490	60	10	affect	affect	VERB
cana-5490	60	11	the	the	DET
cana-5490	60	12	performance	performance	NOUN
cana-5490	60	13	of	of	ADP
cana-5490	60	14	structure	structure	NOUN
cana-5490	60	15	and	and	CCONJ
cana-5490	60	16	variations	variation	NOUN
cana-5490	60	17	in	in	ADP
cana-5490	60	18	temperature	temperature	NOUN
cana-5490	60	19	can	can	AUX
cana-5490	60	20	increase	increase	VERB
cana-5490	60	21	the	the	DET
cana-5490	60	22	thermal	thermal	ADJ
cana-5490	60	23	stress	stress	NOUN
cana-5490	60	24	.	.	PUNCT
cana-5490	61	1	2	2	X
cana-5490	61	2	.	.	X
cana-5490	61	3	mechanical	mechanical	ADJ
cana-5490	61	4	load	load	NOUN
cana-5490	61	5	this	this	DET
cana-5490	61	6	load	load	NOUN
cana-5490	61	7	also	also	ADV
cana-5490	61	8	affect	affect	VERB
cana-5490	61	9	the	the	DET
cana-5490	61	10	performance	performance	NOUN
cana-5490	61	11	of	of	ADP
cana-5490	61	12	structure	structure	NOUN
cana-5490	61	13	.	.	PUNCT
cana-5490	62	1	3	3	X
cana-5490	62	2	.	.	X
cana-5490	62	3	magnetic	magnetic	ADJ
cana-5490	62	4	field	field	NOUN
cana-5490	62	5	for	for	ADP
cana-5490	62	6	fgm	fgm	PROPN
cana-5490	62	7	shell	shell	PROPN
cana-5490	62	8	magnetic	magnetic	ADJ
cana-5490	62	9	field	field	NOUN
cana-5490	62	10	affect	affect	VERB
cana-5490	62	11	the	the	DET
cana-5490	62	12	behavior	behavior	NOUN
cana-5490	62	13	of	of	ADP
cana-5490	62	14	material	material	NOUN
cana-5490	62	15	.	.	PUNCT
cana-5490	63	1	different	different	ADJ
cana-5490	63	2	response	response	NOUN
cana-5490	63	3	for	for	ADP
cana-5490	63	4	magnetic	magnetic	ADJ
cana-5490	63	5	forces	force	NOUN
cana-5490	63	6	.	.	PUNCT
cana-5490	64	1	fgm	fgm	PROPN
cana-5490	64	2	shell	shell	PROPN
cana-5490	64	3	material	material	NOUN
cana-5490	64	4	consist	consist	NOUN
cana-5490	64	5	material	material	NOUN
cana-5490	64	6	a	a	PRON
cana-5490	64	7	and	and	CCONJ
cana-5490	64	8	material	material	PROPN
cana-5490	64	9	b.	b.	PROPN
cana-5490	64	10	material	material	PROPN
cana-5490	64	11	a	a	PRON
cana-5490	64	12	and	and	CCONJ
cana-5490	64	13	b	b	NOUN
cana-5490	64	14	are	be	AUX
cana-5490	64	15	isotropic	isotropic	ADJ
cana-5490	64	16	linear	linear	ADJ
cana-5490	64	17	elastic	elastic	NOUN
cana-5490	64	18	.	.	PUNCT
cana-5490	65	1	but	but	CCONJ
cana-5490	65	2	material	material	PROPN
cana-5490	65	3	b	b	PROPN
cana-5490	65	4	has	have	VERB
cana-5490	65	5	different	different	ADJ
cana-5490	65	6	properties	property	NOUN
cana-5490	65	7	[	[	X
cana-5490	65	8	3	3	NUM
cana-5490	65	9	]	]	PUNCT
cana-5490	65	10	.	.	PUNCT
cana-5490	66	1	volume	volume	NOUN
cana-5490	66	2	fraction	fraction	NOUN
cana-5490	66	3	describe	describe	VERB
cana-5490	66	4	the	the	DET
cana-5490	66	5	proportion	proportion	NOUN
cana-5490	66	6	of	of	ADP
cana-5490	66	7	material	material	NOUN
cana-5490	66	8	a	a	PRON
cana-5490	66	9	at	at	ADP
cana-5490	66	10	radius	radius	NOUN
cana-5490	66	11	r	r	NOUN
cana-5490	66	12	in	in	ADP
cana-5490	66	13	the	the	DET
cana-5490	66	14	fgm	fgm	PROPN
cana-5490	66	15	shell	shell	NOUN
cana-5490	66	16	.	.	PUNCT
cana-5490	67	1	communications	communication	NOUN
cana-5490	67	2	on	on	ADP
cana-5490	67	3	applied	apply	VERB
cana-5490	67	4	nonlinear	nonlinear	ADJ
cana-5490	67	5	analysis	analysis	NOUN
cana-5490	67	6	issn	issn	NOUN
cana-5490	67	7	:	:	PUNCT
cana-5490	67	8	1074	1074	NUM
cana-5490	67	9	-	-	PUNCT
cana-5490	67	10	133x	133x	NUM
cana-5490	67	11	vol	vol	VERB
cana-5490	67	12	32	32	NUM
cana-5490	67	13	no	no	NOUN
cana-5490	67	14	.	.	PUNCT
cana-5490	68	1	10s	10	NOUN
cana-5490	68	2	(	(	PUNCT
cana-5490	68	3	2025	2025	NUM
cana-5490	68	4	)	)	PUNCT
cana-5490	68	5	2426	2426	NUM
cana-5490	68	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	68	7	4	4	X
cana-5490	68	8	.	.	X
cana-5490	68	9	magneto	magneto	NOUN
cana-5490	68	10	-	-	PUNCT
cana-5490	68	11	thermo	thermo	NOUN
cana-5490	68	12	elastic	elastic	ADJ
cana-5490	68	13	nonlinear	nonlinear	ADJ
cana-5490	68	14	dynamic	dynamic	ADJ
cana-5490	68	15	modeling	modeling	NOUN
cana-5490	68	16	of	of	ADP
cana-5490	68	17	a	a	DET
cana-5490	68	18	rotating	rotating	NOUN
cana-5490	68	19	functionally	functionally	ADV
cana-5490	68	20	graded	grade	VERB
cana-5490	68	21	shell	shell	VERB
cana-5490	68	22	the	the	DET
cana-5490	68	23	nonlinear	nonlinear	ADJ
cana-5490	68	24	dynamic	dynamic	ADJ
cana-5490	68	25	modeling	modeling	NOUN
cana-5490	68	26	of	of	ADP
cana-5490	68	27	magneto	magneto	PROPN
cana-5490	68	28	thermo	thermo	NOUN
cana-5490	68	29	elastic	elastic	NOUN
cana-5490	68	30	in	in	ADP
cana-5490	68	31	a	a	DET
cana-5490	68	32	rotating	rotating	NOUN
cana-5490	68	33	functionally	functionally	ADV
cana-5490	68	34	graded	grade	VERB
cana-5490	68	35	shell	shell	NOUN
cana-5490	68	36	include	include	VERB
cana-5490	68	37	analyzing	analyze	VERB
cana-5490	68	38	the	the	DET
cana-5490	68	39	interaction	interaction	NOUN
cana-5490	68	40	of	of	ADP
cana-5490	68	41	mechanical	mechanical	ADJ
cana-5490	68	42	forces	force	NOUN
cana-5490	68	43	,	,	PUNCT
cana-5490	68	44	thermal	thermal	ADJ
cana-5490	68	45	effect	effect	NOUN
cana-5490	68	46	and	and	CCONJ
cana-5490	68	47	magnetic	magnetic	ADJ
cana-5490	68	48	effect	effect	NOUN
cana-5490	68	49	on	on	ADP
cana-5490	68	50	rotating	rotate	VERB
cana-5490	68	51	shell	shell	NOUN
cana-5490	68	52	.	.	PUNCT
cana-5490	69	1	this	this	DET
cana-5490	69	2	rotating	rotate	VERB
cana-5490	69	3	shell	shell	NOUN
cana-5490	69	4	made	make	VERB
cana-5490	69	5	by	by	ADP
cana-5490	69	6	fgms	fgms	PROPN
cana-5490	69	7	(	(	PUNCT
cana-5490	69	8	functionally	functionally	ADV
cana-5490	69	9	graded	grade	VERB
cana-5490	69	10	material	material	NOUN
cana-5490	69	11	)	)	PUNCT
cana-5490	70	1	[	[	X
cana-5490	70	2	3	3	NUM
cana-5490	70	3	]	]	PUNCT
cana-5490	70	4	.	.	PUNCT
cana-5490	71	1	this	this	DET
cana-5490	71	2	modelling	model	VERB
cana-5490	71	3	help	help	NOUN
cana-5490	71	4	for	for	AUX
cana-5490	71	5	analyze	analyze	VERB
cana-5490	71	6	the	the	DET
cana-5490	71	7	behavior	behavior	NOUN
cana-5490	71	8	of	of	ADP
cana-5490	71	9	material	material	NOUN
cana-5490	71	10	when	when	SCONJ
cana-5490	71	11	rotation	rotation	NOUN
cana-5490	71	12	motion	motion	NOUN
cana-5490	71	13	,	,	PUNCT
cana-5490	71	14	thermal	thermal	ADJ
cana-5490	71	15	shock	shock	NOUN
cana-5490	71	16	,	,	PUNCT
cana-5490	71	17	magnetic	magnetic	ADJ
cana-5490	71	18	fields	field	NOUN
cana-5490	71	19	experience	experience	NOUN
cana-5490	71	20	on	on	ADP
cana-5490	71	21	surface	surface	NOUN
cana-5490	71	22	of	of	ADP
cana-5490	71	23	material	material	NOUN
cana-5490	71	24	which	which	PRON
cana-5490	71	25	is	be	AUX
cana-5490	71	26	mainly	mainly	ADV
cana-5490	71	27	used	use	VERB
cana-5490	71	28	in	in	ADP
cana-5490	71	29	mechanical	mechanical	ADJ
cana-5490	71	30	,	,	PUNCT
cana-5490	71	31	energy	energy	NOUN
cana-5490	71	32	system	system	NOUN
cana-5490	71	33	and	and	CCONJ
cana-5490	71	34	aerospace	aerospace	NOUN
cana-5490	71	35	etc	etc	X
cana-5490	71	36	.	.	X
cana-5490	71	37	this	this	DET
cana-5490	71	38	research	research	NOUN
cana-5490	71	39	mainly	mainly	ADV
cana-5490	71	40	focuses	focus	VERB
cana-5490	71	41	on	on	ADP
cana-5490	71	42	mechanism	mechanism	NOUN
cana-5490	71	43	of	of	ADP
cana-5490	71	44	coupling	coupling	NOUN
cana-5490	71	45	of	of	ADP
cana-5490	71	46	functionally	functionally	ADV
cana-5490	71	47	graded	grade	VERB
cana-5490	71	48	material	material	NOUN
cana-5490	71	49	in	in	ADP
cana-5490	71	50	the	the	DET
cana-5490	71	51	presence	presence	NOUN
cana-5490	71	52	of	of	ADP
cana-5490	71	53	physical	physical	ADJ
cana-5490	71	54	field	field	NOUN
cana-5490	71	55	for	for	ADP
cana-5490	71	56	rotating	rotate	VERB
cana-5490	71	57	fgm	fgm	PROPN
cana-5490	71	58	shell	shell	NOUN
cana-5490	71	59	.	.	PUNCT
cana-5490	72	1	this	this	DET
cana-5490	72	2	paper	paper	NOUN
cana-5490	72	3	introduces	introduce	VERB
cana-5490	72	4	a	a	DET
cana-5490	72	5	new	new	ADJ
cana-5490	72	6	method	method	NOUN
cana-5490	72	7	for	for	ADP
cana-5490	72	8	analyzing	analyze	VERB
cana-5490	72	9	the	the	DET
cana-5490	72	10	dynamic	dynamic	ADJ
cana-5490	72	11	behavior	behavior	NOUN
cana-5490	72	12	of	of	ADP
cana-5490	72	13	rotating	rotate	VERB
cana-5490	72	14	shell	shell	NOUN
cana-5490	72	15	made	make	VERB
cana-5490	72	16	by	by	ADP
cana-5490	72	17	fgms	fgms	PROPN
cana-5490	72	18	(	(	PUNCT
cana-5490	72	19	functionally	functionally	ADV
cana-5490	72	20	graded	grade	VERB
cana-5490	72	21	material	material	NOUN
cana-5490	72	22	)	)	PUNCT
cana-5490	72	23	in	in	ADP
cana-5490	72	24	the	the	DET
cana-5490	72	25	presence	presence	NOUN
cana-5490	72	26	of	of	ADP
cana-5490	72	27	electromagnetic	electromagnetic	ADJ
cana-5490	72	28	,	,	PUNCT
cana-5490	72	29	thermal	thermal	ADJ
cana-5490	72	30	,	,	PUNCT
cana-5490	72	31	and	and	CCONJ
cana-5490	72	32	rotational	rotational	ADJ
cana-5490	72	33	fields	field	NOUN
cana-5490	72	34	.	.	PUNCT
cana-5490	73	1	it	it	PRON
cana-5490	73	2	formulates	formulate	VERB
cana-5490	73	3	a	a	DET
cana-5490	73	4	mathematical	mathematical	ADJ
cana-5490	73	5	equation	equation	NOUN
cana-5490	73	6	for	for	AUX
cana-5490	73	7	identify	identify	VERB
cana-5490	73	8	the	the	DET
cana-5490	73	9	relationship	relationship	NOUN
cana-5490	73	10	between	between	ADP
cana-5490	73	11	nonlinear	nonlinear	ADJ
cana-5490	73	12	thermo	thermo	NOUN
cana-5490	73	13	elastic	elastic	NOUN
cana-5490	73	14	and	and	CCONJ
cana-5490	73	15	effect	effect	NOUN
cana-5490	73	16	of	of	ADP
cana-5490	73	17	various	various	ADJ
cana-5490	73	18	controlling	controlling	NOUN
cana-5490	73	19	parameter	parameter	NOUN
cana-5490	73	20	on	on	ADP
cana-5490	73	21	dynamics	dynamic	NOUN
cana-5490	73	22	.	.	PUNCT
cana-5490	74	1	in	in	ADP
cana-5490	74	2	this	this	DET
cana-5490	74	3	research	research	NOUN
cana-5490	74	4	,	,	PUNCT
cana-5490	74	5	functionally	functionally	ADV
cana-5490	74	6	graded	grade	VERB
cana-5490	74	7	shell	shell	NOUN
cana-5490	74	8	is	be	AUX
cana-5490	74	9	a	a	DET
cana-5490	74	10	combination	combination	NOUN
cana-5490	74	11	of	of	ADP
cana-5490	74	12	magnetic	magnetic	ADJ
cana-5490	74	13	load	load	NOUN
cana-5490	74	14	,	,	PUNCT
cana-5490	74	15	thermal	thermal	ADJ
cana-5490	74	16	load	load	NOUN
cana-5490	74	17	and	and	CCONJ
cana-5490	74	18	mechanical	mechanical	ADJ
cana-5490	74	19	load	load	NOUN
cana-5490	74	20	.	.	PUNCT
cana-5490	75	1	some	some	DET
cana-5490	75	2	assumptions	assumption	NOUN
cana-5490	75	3	applied	apply	VERB
cana-5490	75	4	to	to	ADP
cana-5490	75	5	different	different	ADJ
cana-5490	75	6	problem	problem	NOUN
cana-5490	75	7	scenarios	scenario	NOUN
cana-5490	75	8	within	within	ADP
cana-5490	75	9	the	the	DET
cana-5490	75	10	research	research	NOUN
cana-5490	75	11	.	.	PUNCT
cana-5490	76	1	loads	load	NOUN
cana-5490	76	2	&	&	CCONJ
cana-5490	76	3	fields	fields	PROPN
cana-5490	76	4	parameters	parameter	NOUN
cana-5490	76	5	mechanical	mechanical	ADJ
cana-5490	76	6	loads	load	NOUN
cana-5490	76	7	poisson	poisson	PROPN
cana-5490	76	8	’s	’s	PART
cana-5490	76	9	ratio	ratio	NOUN
cana-5490	76	10	,	,	PUNCT
cana-5490	76	11	elastic	elastic	ADJ
cana-5490	76	12	modulus	modulus	ADJ
cana-5490	76	13	thermal	thermal	NOUN
cana-5490	76	14	loads	load	VERB
cana-5490	76	15	thermal	thermal	ADJ
cana-5490	76	16	conductivity	conductivity	NOUN
cana-5490	76	17	,	,	PUNCT
cana-5490	76	18	thermal	thermal	ADJ
cana-5490	76	19	expansion	expansion	NOUN
cana-5490	76	20	coefficient	coefficient	NOUN
cana-5490	76	21	magnetic	magnetic	ADJ
cana-5490	76	22	fields	field	NOUN
cana-5490	76	23	magnetic	magnetic	ADJ
cana-5490	76	24	permeability	permeability	NOUN
cana-5490	76	25	in	in	ADP
cana-5490	76	26	previous	previous	ADJ
cana-5490	76	27	research	research	NOUN
cana-5490	76	28	,	,	PUNCT
cana-5490	76	29	assumed	assume	VERB
cana-5490	76	30	poisson	poisson	PROPN
cana-5490	76	31	’s	’s	PART
cana-5490	76	32	ratio	ratio	NOUN
cana-5490	76	33	as	as	ADP
cana-5490	76	34	a	a	DET
cana-5490	76	35	constant	constant	ADJ
cana-5490	76	36	and	and	CCONJ
cana-5490	76	37	other	other	ADJ
cana-5490	76	38	material	material	NOUN
cana-5490	76	39	properties	property	NOUN
cana-5490	76	40	like	like	ADP
cana-5490	76	41	elastic	elastic	ADJ
cana-5490	76	42	modulus	modulus	NOUN
cana-5490	76	43	,	,	PUNCT
cana-5490	76	44	thermal	thermal	ADJ
cana-5490	76	45	conductivity	conductivity	NOUN
cana-5490	76	46	,	,	PUNCT
cana-5490	76	47	thermal	thermal	ADJ
cana-5490	76	48	expansion	expansion	NOUN
cana-5490	76	49	coefficient	coefficient	NOUN
cana-5490	76	50	,	,	PUNCT
cana-5490	76	51	and	and	CCONJ
cana-5490	76	52	magnetic	magnetic	ADJ
cana-5490	76	53	permeability	permeability	NOUN
cana-5490	76	54	as	as	ADP
cana-5490	76	55	power	power	NOUN
cana-5490	76	56	functions	function	NOUN
cana-5490	76	57	and	and	CCONJ
cana-5490	76	58	exponential	exponential	ADJ
cana-5490	76	59	functions	function	NOUN
cana-5490	76	60	.	.	PUNCT
cana-5490	77	1	in	in	ADP
cana-5490	77	2	the	the	DET
cana-5490	77	3	term	term	NOUN
cana-5490	77	4	of	of	ADP
cana-5490	77	5	power	power	NOUN
cana-5490	77	6	function	function	NOUN
cana-5490	77	7	,	,	PUNCT
cana-5490	77	8	elastic	elastic	ADJ
cana-5490	77	9	modulus	modulus	NOUN
cana-5490	77	10	e(r	e(r	NUM
cana-5490	77	11	)	)	PUNCT
cana-5490	77	12	=	=	SYM
cana-5490	78	1	e0r	e0r	PROPN
cana-5490	78	2	n	n	CCONJ
cana-5490	78	3	thermal	thermal	ADJ
cana-5490	78	4	expansion	expansion	NOUN
cana-5490	78	5	coefficient	coefficient	NOUN
cana-5490	78	6	α(r	α(r	NOUN
cana-5490	78	7	)	)	PUNCT
cana-5490	78	8	=	=	SYM
cana-5490	79	1	α0r	α0r	PROPN
cana-5490	79	2	n	n	CCONJ
cana-5490	79	3	,	,	PUNCT
cana-5490	79	4	thermal	thermal	ADJ
cana-5490	79	5	conductivity	conductivity	NOUN
cana-5490	79	6	k(r	k(r	PROPN
cana-5490	79	7	)	)	PUNCT
cana-5490	80	1	=	=	SYM
cana-5490	80	2	k0r	k0r	NOUN
cana-5490	80	3	n	n	CCONJ
cana-5490	80	4	,	,	PUNCT
cana-5490	80	5	and	and	CCONJ
cana-5490	80	6	magnetic	magnetic	ADJ
cana-5490	80	7	permeability	permeability	NOUN
cana-5490	80	8	μ(r	μ(r	NOUN
cana-5490	80	9	)	)	PUNCT
cana-5490	80	10	=	=	PUNCT
cana-5490	81	1	μ0r	μ0r	X
cana-5490	81	2	n.	n.	NOUN
cana-5490	81	3	in	in	ADP
cana-5490	81	4	the	the	DET
cana-5490	81	5	term	term	NOUN
cana-5490	81	6	of	of	ADP
cana-5490	81	7	exponential	exponential	ADJ
cana-5490	81	8	function	function	NOUN
cana-5490	81	9	,	,	PUNCT
cana-5490	81	10	elastic	elastic	ADJ
cana-5490	81	11	modulus	modulus	NOUN
cana-5490	81	12	e(r	e(r	NUM
cana-5490	81	13	)	)	PUNCT
cana-5490	82	1	=	=	PUNCT
cana-5490	82	2	e0e	e0e	PROPN
cana-5490	82	3	rn	rn	PROPN
cana-5490	82	4	,	,	PUNCT
cana-5490	82	5	thermal	thermal	ADJ
cana-5490	82	6	expansion	expansion	NOUN
cana-5490	82	7	coefficient	coefficient	NOUN
cana-5490	82	8	α(r	α(r	NOUN
cana-5490	82	9	)	)	PUNCT
cana-5490	82	10	=	=	PUNCT
cana-5490	82	11	α0e	α0e	NUM
cana-5490	82	12	m	m	PROPN
cana-5490	82	13	,	,	PUNCT
cana-5490	82	14	thermal	thermal	ADJ
cana-5490	82	15	conductivity	conductivity	NOUN
cana-5490	82	16	k(r	k(r	PROPN
cana-5490	82	17	)	)	PUNCT
cana-5490	82	18	=	=	PUNCT
cana-5490	83	1	k0e	k0e	ADJ
cana-5490	83	2	rn	rn	PROPN
cana-5490	83	3	and	and	CCONJ
cana-5490	83	4	magnetic	magnetic	ADJ
cana-5490	83	5	permeability	permeability	NOUN
cana-5490	83	6	μ(r	μ(r	NOUN
cana-5490	83	7	)	)	PUNCT
cana-5490	84	1	=	=	SYM
cana-5490	84	2	μ0	μ0	PROPN
cana-5490	84	3	e	e	PROPN
cana-5490	84	4	rn	rn	PROPN
cana-5490	84	5	communications	communication	NOUN
cana-5490	84	6	on	on	ADP
cana-5490	84	7	applied	apply	VERB
cana-5490	84	8	nonlinear	nonlinear	ADJ
cana-5490	84	9	analysis	analysis	NOUN
cana-5490	84	10	issn	issn	NOUN
cana-5490	84	11	:	:	PUNCT
cana-5490	84	12	1074	1074	NUM
cana-5490	84	13	-	-	PUNCT
cana-5490	84	14	133x	133x	NUM
cana-5490	84	15	vol	vol	VERB
cana-5490	84	16	32	32	NUM
cana-5490	84	17	no	no	NOUN
cana-5490	84	18	.	.	PUNCT
cana-5490	85	1	10s	10	NOUN
cana-5490	85	2	(	(	PUNCT
cana-5490	85	3	2025	2025	NUM
cana-5490	85	4	)	)	PUNCT
cana-5490	85	5	2427	2427	NUM
cana-5490	85	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	85	7	5	5	NUM
cana-5490	85	8	.	.	PUNCT
cana-5490	85	9	challenges	challenge	NOUN
cana-5490	85	10	in	in	ADP
cana-5490	85	11	the	the	DET
cana-5490	85	12	previous	previous	ADJ
cana-5490	85	13	studies	study	NOUN
cana-5490	85	14	1	1	NUM
cana-5490	85	15	.	.	PUNCT
cana-5490	86	1	in	in	ADP
cana-5490	86	2	rotating	rotate	VERB
cana-5490	86	3	fgm	fgm	PROPN
cana-5490	86	4	shell	shell	NOUN
cana-5490	86	5	[	[	X
cana-5490	86	6	2	2	X
cana-5490	86	7	]	]	PUNCT
cana-5490	86	8	the	the	DET
cana-5490	86	9	indexes	index	NOUN
cana-5490	86	10	m	m	VERB
cana-5490	86	11	and	and	CCONJ
cana-5490	86	12	n	n	PROPN
cana-5490	86	13	for	for	ADP
cana-5490	86	14	material	material	NOUN
cana-5490	86	15	parameters	parameter	NOUN
cana-5490	86	16	are	be	AUX
cana-5490	86	17	assumed	assume	VERB
cana-5490	86	18	to	to	PART
cana-5490	86	19	be	be	AUX
cana-5490	86	20	the	the	DET
cana-5490	86	21	same	same	ADJ
cana-5490	86	22	,	,	PUNCT
cana-5490	86	23	but	but	CCONJ
cana-5490	86	24	this	this	DET
cana-5490	86	25	assumption	assumption	NOUN
cana-5490	86	26	is	be	AUX
cana-5490	86	27	not	not	PART
cana-5490	86	28	realistic	realistic	ADJ
cana-5490	86	29	.	.	PUNCT
cana-5490	87	1	for	for	ADP
cana-5490	87	2	simple	simple	ADJ
cana-5490	87	3	analyze	analyze	NOUN
cana-5490	87	4	of	of	ADP
cana-5490	87	5	numerical	numerical	ADJ
cana-5490	87	6	value	value	NOUN
cana-5490	87	7	many	many	ADJ
cana-5490	87	8	studies	study	NOUN
cana-5490	87	9	assume	assume	VERB
cana-5490	87	10	exponent	exponent	NOUN
cana-5490	87	11	same	same	ADJ
cana-5490	87	12	.	.	PUNCT
cana-5490	88	1	2	2	X
cana-5490	88	2	.	.	X
cana-5490	88	3	in	in	ADP
cana-5490	88	4	rotating	rotate	VERB
cana-5490	88	5	fgm	fgm	PROPN
cana-5490	88	6	shell	shell	NOUN
cana-5490	88	7	poisson	poisson	NOUN
cana-5490	88	8	’s	’s	PART
cana-5490	88	9	ratio	ratio	NOUN
cana-5490	88	10	consider	consider	VERB
cana-5490	88	11	as	as	ADP
cana-5490	88	12	constant	constant	ADJ
cana-5490	88	13	across	across	ADP
cana-5490	88	14	different	different	ADJ
cana-5490	88	15	layers	layer	NOUN
cana-5490	88	16	.	.	PUNCT
cana-5490	89	1	3	3	X
cana-5490	89	2	.	.	NUM
cana-5490	89	3	fgms	fgms	PROPN
cana-5490	89	4	are	be	AUX
cana-5490	89	5	design	design	NOUN
cana-5490	89	6	using	use	VERB
cana-5490	89	7	homogeneous	homogeneous	ADJ
cana-5490	89	8	materials	material	NOUN
cana-5490	89	9	.	.	PUNCT
cana-5490	90	1	this	this	PRON
cana-5490	90	2	is	be	AUX
cana-5490	90	3	challenging	challenging	ADJ
cana-5490	90	4	to	to	PART
cana-5490	90	5	adjust	adjust	VERB
cana-5490	90	6	material	material	NOUN
cana-5490	90	7	parameters	parameter	NOUN
cana-5490	90	8	according	accord	VERB
cana-5490	90	9	to	to	ADP
cana-5490	90	10	a	a	DET
cana-5490	90	11	simple	simple	ADJ
cana-5490	90	12	rule	rule	NOUN
cana-5490	90	13	in	in	ADP
cana-5490	90	14	real	real	ADJ
cana-5490	90	15	manufacturing	manufacturing	NOUN
cana-5490	91	1	[	[	X
cana-5490	91	2	3	3	NUM
cana-5490	91	3	]	]	PUNCT
cana-5490	91	4	.	.	PUNCT
cana-5490	92	1	to	to	PART
cana-5490	92	2	overcome	overcome	VERB
cana-5490	92	3	those	those	DET
cana-5490	92	4	challenges	challenge	NOUN
cana-5490	92	5	,	,	PUNCT
cana-5490	92	6	voigt	voigt	PROPN
cana-5490	92	7	method	method	NOUN
cana-5490	92	8	[	[	X
cana-5490	92	9	3	3	NUM
cana-5490	92	10	]	]	PUNCT
cana-5490	92	11	use	use	NOUN
cana-5490	92	12	for	for	ADP
cana-5490	92	13	evaluate	evaluate	VERB
cana-5490	92	14	the	the	DET
cana-5490	92	15	equivalent	equivalent	ADJ
cana-5490	92	16	material	material	NOUN
cana-5490	92	17	parameter	parameter	NOUN
cana-5490	92	18	of	of	ADP
cana-5490	92	19	a	a	DET
cana-5490	92	20	rotating	rotating	NOUN
cana-5490	92	21	functionally	functionally	ADV
cana-5490	92	22	graded	grade	VERB
cana-5490	92	23	shell	shell	NOUN
cana-5490	92	24	in	in	ADP
cana-5490	92	25	the	the	DET
cana-5490	92	26	presence	presence	NOUN
cana-5490	92	27	of	of	ADP
cana-5490	92	28	magnetic	magnetic	ADJ
cana-5490	92	29	,	,	PUNCT
cana-5490	92	30	mechanical	mechanical	ADJ
cana-5490	92	31	,	,	PUNCT
cana-5490	92	32	thermal	thermal	ADJ
cana-5490	92	33	conditions	condition	NOUN
cana-5490	92	34	.	.	PUNCT
cana-5490	93	1	voigt	voigt	PROPN
cana-5490	93	2	method	method	NOUN
cana-5490	94	1	[	[	X
cana-5490	94	2	3	3	NUM
cana-5490	94	3	]	]	PUNCT
cana-5490	94	4	based	base	VERB
cana-5490	94	5	on	on	ADP
cana-5490	94	6	volume	volume	NOUN
cana-5490	94	7	fraction	fraction	NOUN
cana-5490	94	8	.	.	PUNCT
cana-5490	95	1	6	6	X
cana-5490	95	2	.	.	X
cana-5490	95	3	voigt	voigt	PROPN
cana-5490	95	4	method	method	PROPN
cana-5490	95	5	this	this	DET
cana-5490	95	6	method	method	NOUN
cana-5490	95	7	used	use	VERB
cana-5490	95	8	in	in	ADP
cana-5490	95	9	the	the	DET
cana-5490	95	10	modelling	modelling	NOUN
cana-5490	95	11	of	of	ADP
cana-5490	95	12	composite	composite	ADJ
cana-5490	95	13	material	material	NOUN
cana-5490	95	14	in	in	ADP
cana-5490	95	15	rotating	rotate	VERB
cana-5490	95	16	functionally	functionally	ADV
cana-5490	95	17	graded	grade	VERB
cana-5490	95	18	shell	shell	NOUN
cana-5490	95	19	.	.	PUNCT
cana-5490	96	1	it	it	PRON
cana-5490	96	2	is	be	AUX
cana-5490	96	3	less	less	ADV
cana-5490	96	4	complex	complex	ADJ
cana-5490	96	5	method	method	NOUN
cana-5490	96	6	to	to	PART
cana-5490	96	7	evaluate	evaluate	VERB
cana-5490	96	8	the	the	DET
cana-5490	96	9	equivalent	equivalent	NOUN
cana-5490	96	10	the	the	DET
cana-5490	96	11	material	material	NOUN
cana-5490	96	12	parameter	parameter	NOUN
cana-5490	96	13	of	of	ADP
cana-5490	96	14	a	a	DET
cana-5490	96	15	composite	composite	ADJ
cana-5490	96	16	material	material	NOUN
cana-5490	96	17	made	make	VERB
cana-5490	96	18	up	up	ADP
cana-5490	96	19	of	of	ADP
cana-5490	96	20	two	two	NUM
cana-5490	96	21	or	or	CCONJ
cana-5490	96	22	more	more	ADV
cana-5490	96	23	different	different	ADJ
cana-5490	96	24	materials	material	NOUN
cana-5490	96	25	.	.	PUNCT
cana-5490	97	1	in	in	ADP
cana-5490	97	2	voigt	voigt	PROPN
cana-5490	97	3	method	method	NOUN
cana-5490	97	4	[	[	X
cana-5490	97	5	3	3	NUM
cana-5490	97	6	]	]	PUNCT
cana-5490	97	7	,	,	PUNCT
cana-5490	97	8	composite	composite	ADJ
cana-5490	97	9	material	material	NOUN
cana-5490	97	10	act	act	NOUN
cana-5490	97	11	as	as	ADP
cana-5490	97	12	individual	individual	ADJ
cana-5490	97	13	material	material	NOUN
cana-5490	97	14	property	property	NOUN
cana-5490	97	15	distributed	distribute	VERB
cana-5490	97	16	uniformly	uniformly	ADV
cana-5490	97	17	.	.	PUNCT
cana-5490	98	1	each	each	DET
cana-5490	98	2	material	material	NOUN
cana-5490	98	3	contribute	contribute	VERB
cana-5490	98	4	the	the	DET
cana-5490	98	5	overall	overall	ADJ
cana-5490	98	6	property	property	NOUN
cana-5490	98	7	according	accord	VERB
cana-5490	98	8	to	to	ADP
cana-5490	98	9	its	its	PRON
cana-5490	98	10	volume	volume	NOUN
cana-5490	98	11	fraction	fraction	NOUN
cana-5490	98	12	.	.	PUNCT
cana-5490	99	1	the	the	DET
cana-5490	99	2	formula	formula	NOUN
cana-5490	99	3	for	for	ADP
cana-5490	99	4	calculating	calculate	VERB
cana-5490	99	5	the	the	DET
cana-5490	99	6	equivalent	equivalent	ADJ
cana-5490	99	7	property	property	NOUN
cana-5490	99	8	is	be	AUX
cana-5490	99	9	given	give	VERB
cana-5490	99	10	as	as	ADP
cana-5490	99	11	:	:	PUNCT
cana-5490	99	12	peq(r	peq(r	PROPN
cana-5490	99	13	)	)	PUNCT
cana-5490	99	14	=	=	SYM
cana-5490	99	15	i∑pi(r	i∑pi(r	PROPN
cana-5490	99	16	)	)	PUNCT
cana-5490	99	17	⋅ci(r	⋅ci(r	PROPN
cana-5490	99	18	)	)	PUNCT
cana-5490	100	1	where	where	SCONJ
cana-5490	100	2	:	:	PUNCT
cana-5490	100	3	•	•	NUM
cana-5490	100	4	peq(r	peq(r	PROPN
cana-5490	100	5	)	)	PUNCT
cana-5490	100	6	is	be	AUX
cana-5490	100	7	the	the	DET
cana-5490	100	8	equivalent	equivalent	ADJ
cana-5490	100	9	property	property	NOUN
cana-5490	100	10	of	of	ADP
cana-5490	100	11	the	the	DET
cana-5490	100	12	composite	composite	NOUN
cana-5490	100	13	at	at	ADP
cana-5490	100	14	position	position	NOUN
cana-5490	100	15	r.	r.	PROPN
cana-5490	100	16	•	•	NOUN
cana-5490	100	17	pi(r	pi(r	NOUN
cana-5490	100	18	)	)	PUNCT
cana-5490	101	1	is	be	AUX
cana-5490	101	2	the	the	DET
cana-5490	101	3	property	property	NOUN
cana-5490	101	4	of	of	ADP
cana-5490	101	5	material	material	NOUN
cana-5490	101	6	i	i	PRON
cana-5490	101	7	at	at	ADP
cana-5490	101	8	position	position	NOUN
cana-5490	101	9	r.	r.	PROPN
cana-5490	101	10	•	•	NUM
cana-5490	101	11	ci(r	ci(r	NOUN
cana-5490	101	12	)	)	PUNCT
cana-5490	101	13	is	be	AUX
cana-5490	101	14	the	the	DET
cana-5490	101	15	volume	volume	NOUN
cana-5490	101	16	fraction	fraction	NOUN
cana-5490	101	17	of	of	ADP
cana-5490	101	18	material	material	NOUN
cana-5490	101	19	i	i	PROPN
cana-5490	101	20	at	at	ADP
cana-5490	101	21	position	position	NOUN
cana-5490	101	22	r.	r.	PROPN
cana-5490	101	23	following	follow	VERB
cana-5490	101	24	graphs	graph	NOUN
cana-5490	102	1	shows	show	VERB
cana-5490	102	2	the	the	DET
cana-5490	102	3	evolution	evolution	NOUN
cana-5490	102	4	of	of	ADP
cana-5490	102	5	volume	volume	NOUN
cana-5490	102	6	fraction	fraction	NOUN
cana-5490	102	7	of	of	ADP
cana-5490	102	8	material	material	NOUN
cana-5490	102	9	a	a	PRON
cana-5490	102	10	with	with	ADP
cana-5490	102	11	different	different	ADJ
cana-5490	102	12	parameter	parameter	NOUN
cana-5490	102	13	n.	n.	NOUN
cana-5490	102	14	figure	figure	NOUN
cana-5490	102	15	2	2	NUM
cana-5490	102	16	:	:	PUNCT
cana-5490	102	17	evolution	evolution	NOUN
cana-5490	102	18	of	of	ADP
cana-5490	102	19	volume	volume	NOUN
cana-5490	102	20	fraction	fraction	NOUN
cana-5490	102	21	of	of	ADP
cana-5490	102	22	material	material	NOUN
cana-5490	102	23	a	a	PRON
cana-5490	102	24	with	with	ADP
cana-5490	102	25	different	different	ADJ
cana-5490	102	26	parameter	parameter	NOUN
cana-5490	102	27	ion	ion	NOUN
cana-5490	102	28	of	of	ADP
cana-5490	102	29	material	material	NOUN
cana-5490	102	30	a	a	PRON
cana-5490	102	31	with	with	ADP
cana-5490	102	32	different	different	ADJ
cana-5490	102	33	parameter	parameter	NOUN
cana-5490	102	34	n	n	CCONJ
cana-5490	102	35	0	0	NUM
cana-5490	103	1	0.2	0.2	NUM
cana-5490	103	2	0.4	0.4	NUM
cana-5490	103	3	0.6	0.6	NUM
cana-5490	103	4	0.8	0.8	NUM
cana-5490	103	5	1	1	NUM
cana-5490	103	6	0.7	0.7	NUM
cana-5490	103	7	0.8	0.8	NUM
cana-5490	103	8	0.85	0.85	NUM
cana-5490	103	9	0.9	0.9	NUM
cana-5490	103	10	v	v	NOUN
cana-5490	103	11	o	o	NOUN
cana-5490	103	12	lu	lu	NOUN
cana-5490	103	13	m	m	VERB
cana-5490	103	14	e	e	NOUN
cana-5490	103	15	fr	fr	NOUN
cana-5490	103	16	ac	ac	INTJ
cana-5490	103	17	ti	ti	PROPN
cana-5490	103	18	o	o	NOUN
cana-5490	103	19	n	n	PRON
cana-5490	103	20	radius	radius	NOUN
cana-5490	103	21	evolution	evolution	NOUN
cana-5490	103	22	of	of	ADP
cana-5490	103	23	volume	volume	NOUN
cana-5490	103	24	fraction	fraction	NOUN
cana-5490	103	25	of	of	ADP
cana-5490	103	26	material	material	NOUN
cana-5490	103	27	a	a	PRON
cana-5490	103	28	with	with	ADP
cana-5490	103	29	different	different	ADJ
cana-5490	103	30	parameter	parameter	NOUN
cana-5490	103	31	ion	ion	NOUN
cana-5490	103	32	of	of	ADP
cana-5490	103	33	material	material	NOUN
cana-5490	103	34	a	a	PRON
cana-5490	103	35	with	with	ADP
cana-5490	103	36	different	different	ADJ
cana-5490	103	37	parameter	parameter	NOUN
cana-5490	103	38	n	n	CCONJ
cana-5490	103	39	n=3	n=3	PUNCT
cana-5490	103	40	n=5	n=5	X
cana-5490	103	41	n=10	n=10	NOUN
cana-5490	103	42	communications	communication	NOUN
cana-5490	103	43	on	on	ADP
cana-5490	103	44	applied	apply	VERB
cana-5490	103	45	nonlinear	nonlinear	ADJ
cana-5490	103	46	analysis	analysis	NOUN
cana-5490	103	47	issn	issn	NOUN
cana-5490	103	48	:	:	PUNCT
cana-5490	103	49	1074	1074	NUM
cana-5490	103	50	-	-	PUNCT
cana-5490	103	51	133x	133x	NUM
cana-5490	103	52	vol	vol	VERB
cana-5490	103	53	32	32	NUM
cana-5490	103	54	no	no	NOUN
cana-5490	103	55	.	.	PUNCT
cana-5490	104	1	10s	10	NOUN
cana-5490	104	2	(	(	PUNCT
cana-5490	104	3	2025	2025	NUM
cana-5490	104	4	)	)	PUNCT
cana-5490	104	5	2428	2428	NUM
cana-5490	104	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	105	1	this	this	DET
cana-5490	105	2	graph	graph	NOUN
cana-5490	105	3	helps	help	VERB
cana-5490	105	4	to	to	PART
cana-5490	105	5	understand	understand	VERB
cana-5490	105	6	the	the	DET
cana-5490	105	7	interaction	interaction	NOUN
cana-5490	105	8	of	of	ADP
cana-5490	105	9	thermal	thermal	ADJ
cana-5490	105	10	effects	effect	NOUN
cana-5490	105	11	,	,	PUNCT
cana-5490	105	12	magnetic	magnetic	ADJ
cana-5490	105	13	effect	effect	NOUN
cana-5490	105	14	and	and	CCONJ
cana-5490	105	15	mechanical	mechanical	ADJ
cana-5490	105	16	forces	force	NOUN
cana-5490	105	17	on	on	ADP
cana-5490	105	18	voigt	voigt	PROPN
cana-5490	105	19	method	method	NOUN
cana-5490	105	20	[	[	X
cana-5490	105	21	3	3	X
cana-5490	105	22	]	]	PUNCT
cana-5490	105	23	in	in	ADP
cana-5490	105	24	a	a	DET
cana-5490	105	25	rotating	rotate	VERB
cana-5490	105	26	fgm	fgm	PROPN
cana-5490	105	27	shell	shell	NOUN
cana-5490	105	28	.	.	PUNCT
cana-5490	106	1	x	x	PROPN
cana-5490	106	2	axis	axis	PROPN
cana-5490	106	3	represent	represent	VERB
cana-5490	106	4	:	:	PUNCT
cana-5490	106	5	radius	radius	NOUN
cana-5490	106	6	(	(	PUNCT
cana-5490	106	7	inner	inner	ADJ
cana-5490	106	8	and	and	CCONJ
cana-5490	106	9	outer	outer	ADJ
cana-5490	106	10	)	)	PUNCT
cana-5490	106	11	of	of	ADP
cana-5490	106	12	rotating	rotate	VERB
cana-5490	106	13	fgm	fgm	PROPN
cana-5490	106	14	shell	shell	NOUN
cana-5490	106	15	.	.	PUNCT
cana-5490	107	1	y	y	PROPN
cana-5490	107	2	axis	axis	PROPN
cana-5490	107	3	represent	represent	VERB
cana-5490	107	4	:	:	PUNCT
cana-5490	107	5	volume	volume	NOUN
cana-5490	107	6	fraction	fraction	NOUN
cana-5490	107	7	of	of	ADP
cana-5490	107	8	material	material	NOUN
cana-5490	107	9	a.	a.	NOUN
cana-5490	107	10	n	n	PRON
cana-5490	107	11	represent	represent	VERB
cana-5490	107	12	:	:	PUNCT
cana-5490	107	13	different	different	ADJ
cana-5490	107	14	parameter	parameter	NOUN
cana-5490	107	15	.	.	PUNCT
cana-5490	108	1	as	as	SCONJ
cana-5490	108	2	n	n	PRON
cana-5490	108	3	increase	increase	VERB
cana-5490	108	4	c(r	c(r	NOUN
cana-5490	108	5	)	)	PUNCT
cana-5490	108	6	increase	increase	VERB
cana-5490	108	7	non	non	ADJ
cana-5490	108	8	-	-	ADJ
cana-5490	108	9	linearly	linearly	ADV
cana-5490	108	10	.	.	PUNCT
cana-5490	109	1	if	if	SCONJ
cana-5490	109	2	we	we	PRON
cana-5490	109	3	consider	consider	VERB
cana-5490	109	4	particular	particular	ADJ
cana-5490	109	5	value	value	NOUN
cana-5490	109	6	of	of	ADP
cana-5490	109	7	n	n	NUM
cana-5490	109	8	then	then	ADV
cana-5490	109	9	,	,	PUNCT
cana-5490	109	10	let	let	VERB
cana-5490	109	11	n	n	X
cana-5490	109	12	=	=	NUM
cana-5490	109	13	10	10	NUM
cana-5490	109	14	at	at	ADP
cana-5490	109	15	n	n	PROPN
cana-5490	109	16	=	=	SYM
cana-5490	109	17	10	10	NUM
cana-5490	109	18	,	,	PUNCT
cana-5490	109	19	volume	volume	NOUN
cana-5490	109	20	fraction	fraction	NOUN
cana-5490	109	21	approaches	approach	VERB
cana-5490	109	22	1	1	NUM
cana-5490	109	23	at	at	ADP
cana-5490	109	24	the	the	DET
cana-5490	109	25	r	r	NOUN
cana-5490	109	26	=	=	SYM
cana-5490	109	27	0.7	0.7	NUM
cana-5490	109	28	(	(	PUNCT
cana-5490	109	29	inner	inner	ADJ
cana-5490	109	30	radius	radius	NOUN
cana-5490	109	31	)	)	PUNCT
cana-5490	109	32	.	.	PUNCT
cana-5490	110	1	it	it	PRON
cana-5490	110	2	means	mean	VERB
cana-5490	110	3	material	material	NOUN
cana-5490	110	4	a	a	DET
cana-5490	110	5	dominates	dominate	NOUN
cana-5490	110	6	in	in	ADP
cana-5490	110	7	inner	inner	ADJ
cana-5490	110	8	region	region	NOUN
cana-5490	110	9	of	of	ADP
cana-5490	110	10	shell	shell	NOUN
cana-5490	110	11	.	.	PUNCT
cana-5490	111	1	for	for	ADP
cana-5490	111	2	different	different	ADJ
cana-5490	111	3	values	value	NOUN
cana-5490	111	4	of	of	ADP
cana-5490	111	5	n	n	CCONJ
cana-5490	111	6	,	,	PUNCT
cana-5490	111	7	the	the	DET
cana-5490	111	8	volume	volume	NOUN
cana-5490	111	9	fraction	fraction	NOUN
cana-5490	111	10	of	of	ADP
cana-5490	111	11	material	material	NOUN
cana-5490	111	12	a	a	DET
cana-5490	111	13	decreases	decrease	NOUN
cana-5490	111	14	from	from	ADP
cana-5490	111	15	the	the	DET
cana-5490	111	16	inner	inner	ADJ
cana-5490	111	17	radius	radius	NOUN
cana-5490	111	18	to	to	ADP
cana-5490	111	19	the	the	DET
cana-5490	111	20	outer	outer	ADJ
cana-5490	111	21	radius	radius	NOUN
cana-5490	111	22	.	.	PUNCT
cana-5490	112	1	at	at	ADP
cana-5490	112	2	the	the	DET
cana-5490	112	3	outer	outer	ADJ
cana-5490	112	4	radius	radius	NOUN
cana-5490	112	5	(	(	PUNCT
cana-5490	112	6	r	r	NOUN
cana-5490	112	7	=	=	SYM
cana-5490	112	8	1.0	1.0	NUM
cana-5490	112	9	)	)	PUNCT
cana-5490	112	10	,	,	PUNCT
cana-5490	112	11	the	the	DET
cana-5490	112	12	volume	volume	NOUN
cana-5490	112	13	fraction	fraction	NOUN
cana-5490	112	14	of	of	ADP
cana-5490	112	15	material	material	NOUN
cana-5490	112	16	a	a	DET
cana-5490	112	17	becomes	become	NOUN
cana-5490	112	18	zero	zero	NUM
cana-5490	112	19	,	,	PUNCT
cana-5490	112	20	indicating	indicate	VERB
cana-5490	112	21	that	that	SCONJ
cana-5490	112	22	material	material	NOUN
cana-5490	112	23	b	b	PROPN
cana-5490	112	24	dominates	dominate	VERB
cana-5490	112	25	at	at	ADP
cana-5490	112	26	the	the	DET
cana-5490	112	27	outer	outer	ADJ
cana-5490	112	28	region	region	NOUN
cana-5490	112	29	.	.	PUNCT
cana-5490	113	1	this	this	DET
cana-5490	113	2	variation	variation	NOUN
cana-5490	113	3	in	in	ADP
cana-5490	113	4	the	the	DET
cana-5490	113	5	volume	volume	NOUN
cana-5490	113	6	fraction	fraction	NOUN
cana-5490	113	7	plays	play	VERB
cana-5490	113	8	an	an	DET
cana-5490	113	9	important	important	ADJ
cana-5490	113	10	role	role	NOUN
cana-5490	113	11	in	in	ADP
cana-5490	113	12	influencing	influence	VERB
cana-5490	113	13	the	the	DET
cana-5490	113	14	shell	shell	NOUN
cana-5490	113	15	’s	’s	PART
cana-5490	113	16	material	material	NOUN
cana-5490	113	17	properties	property	NOUN
cana-5490	113	18	,	,	PUNCT
cana-5490	113	19	such	such	ADJ
cana-5490	113	20	as	as	ADP
cana-5490	113	21	thermal	thermal	ADJ
cana-5490	113	22	conductivity	conductivity	NOUN
cana-5490	113	23	,	,	PUNCT
cana-5490	113	24	and	and	CCONJ
cana-5490	113	25	magnetic	magnetic	ADJ
cana-5490	113	26	behavior	behavior	NOUN
cana-5490	113	27	,	,	PUNCT
cana-5490	113	28	all	all	PRON
cana-5490	113	29	of	of	ADP
cana-5490	113	30	which	which	PRON
cana-5490	113	31	depend	depend	VERB
cana-5490	113	32	on	on	ADP
cana-5490	113	33	the	the	DET
cana-5490	113	34	distribution	distribution	NOUN
cana-5490	113	35	of	of	ADP
cana-5490	113	36	the	the	DET
cana-5490	113	37	materials	material	NOUN
cana-5490	113	38	.	.	PUNCT
cana-5490	114	1	please	please	INTJ
cana-5490	114	2	see	see	VERB
cana-5490	114	3	the	the	DET
cana-5490	114	4	table	table	NOUN
cana-5490	114	5	2	2	NUM
cana-5490	114	6	,	,	PUNCT
cana-5490	114	7	this	this	DET
cana-5490	114	8	table	table	NOUN
cana-5490	114	9	shown	show	VERB
cana-5490	114	10	effect	effect	NOUN
cana-5490	114	11	of	of	ADP
cana-5490	114	12	parameter	parameter	NOUN
cana-5490	114	13	n	n	PROPN
cana-5490	114	14	on	on	ADP
cana-5490	114	15	the	the	DET
cana-5490	114	16	radial	radial	ADJ
cana-5490	114	17	displacement	displacement	ADJ
cana-5490	114	18	u	u	NOUN
cana-5490	114	19	,	,	PUNCT
cana-5490	114	20	the	the	DET
cana-5490	114	21	radial	radial	ADJ
cana-5490	114	22	stress	stress	NOUN
cana-5490	114	23	,	,	PUNCT
cana-5490	114	24	the	the	DET
cana-5490	114	25	circumferential	circumferential	ADJ
cana-5490	114	26	stress	stress	NOUN
cana-5490	114	27	,	,	PUNCT
cana-5490	114	28	the	the	DET
cana-5490	114	29	axial	axial	ADJ
cana-5490	114	30	stress	stress	NOUN
cana-5490	114	31	and	and	CCONJ
cana-5490	114	32	the	the	DET
cana-5490	114	33	perturbation	perturbation	NOUN
cana-5490	114	34	of	of	ADP
cana-5490	114	35	magnetic	magnetic	ADJ
cana-5490	114	36	field	field	NOUN
cana-5490	114	37	,	,	PUNCT
cana-5490	114	38	respectively	respectively	ADV
cana-5490	114	39	[	[	X
cana-5490	114	40	3	3	NUM
cana-5490	114	41	]	]	PUNCT
cana-5490	114	42	.	.	PUNCT
cana-5490	115	1	table	table	NOUN
cana-5490	115	2	2	2	NUM
cana-5490	115	3	:	:	PUNCT
cana-5490	115	4	the	the	DET
cana-5490	115	5	extremum	extremum	ADJ
cana-5490	115	6	values	value	NOUN
cana-5490	115	7	corresponding	correspond	VERB
cana-5490	115	8	to	to	ADP
cana-5490	115	9	different	different	ADJ
cana-5490	115	10	parameter	parameter	NOUN
cana-5490	115	11	n.	n.	PROPN
cana-5490	115	12	n	n	PROPN
cana-5490	115	13	1.5	1.5	NUM
cana-5490	115	14	3	3	NUM
cana-5490	115	15	5	5	NUM
cana-5490	115	16	10	10	NUM
cana-5490	115	17	u	u	NOUN
cana-5490	115	18	r	r	NOUN
cana-5490	115	19	=	=	NOUN
cana-5490	115	20	0.7	0.7	NUM
cana-5490	115	21	r	r	NOUN
cana-5490	115	22	=	=	SYM
cana-5490	115	23	1.0	1.0	NUM
cana-5490	115	24	1.2608	1.2608	NUM
cana-5490	115	25	1.0410	1.0410	NUM
cana-5490	115	26	1.0163	1.0163	NUM
cana-5490	115	27	0.7409	0.7409	NUM
cana-5490	115	28	0.8946	0.8946	NUM
cana-5490	115	29	0.7409	0.7409	NUM
cana-5490	115	30	0.8150	0.8150	NUM
cana-5490	116	1	0.6756	0.6756	NUM
cana-5490	117	1	𝜎r	𝜎r	NOUN
cana-5490	117	2	r	r	NOUN
cana-5490	117	3	=	=	SYM
cana-5490	117	4	0.7	0.7	NUM
cana-5490	117	5	r	r	NOUN
cana-5490	117	6	=	=	SYM
cana-5490	117	7	1.0	1.0	NUM
cana-5490	117	8	-1	-1	SYM
cana-5490	117	9	0	0	NUM
cana-5490	118	1	-1	-1	SYM
cana-5490	118	2	0	0	NUM
cana-5490	119	1	-1	-1	SYM
cana-5490	119	2	0	0	NUM
cana-5490	120	1	-1	-1	SYM
cana-5490	120	2	0	0	NUM
cana-5490	120	3	𝜎𝜃	𝜎𝜃	NOUN
cana-5490	120	4	r	r	NOUN
cana-5490	120	5	=	=	SYM
cana-5490	120	6	0.7	0.7	NUM
cana-5490	120	7	r	r	NOUN
cana-5490	120	8	=	=	SYM
cana-5490	120	9	1.0	1.0	NUM
cana-5490	120	10	3.1908	3.1908	NUM
cana-5490	120	11	1.1239	1.1239	NUM
cana-5490	120	12	3.2635	3.2635	NUM
cana-5490	120	13	0.9039	0.9039	NUM
cana-5490	120	14	3.3125	3.3125	NUM
cana-5490	120	15	0.7942	0.7942	NUM
cana-5490	120	16	3.3376	3.3376	NUM
cana-5490	120	17	0.7225	0.7225	NUM
cana-5490	120	18	𝜎z	𝜎z	ADP
cana-5490	120	19	r	r	NOUN
cana-5490	120	20	=	=	NOUN
cana-5490	120	21	0.7	0.7	NUM
cana-5490	120	22	r	r	NOUN
cana-5490	120	23	=	=	SYM
cana-5490	120	24	1.0	1.0	NUM
cana-5490	120	25	0.6572	0.6572	NUM
cana-5490	120	26	0.3231	0.3231	NUM
cana-5490	120	27	0.6790	0.6790	NUM
cana-5490	120	28	0.2571	0.2571	NUM
cana-5490	120	29	0.6937	0.6937	NUM
cana-5490	120	30	0.2242	0.2242	NUM
cana-5490	120	31	0.7012	0.7012	NUM
cana-5490	120	32	0.2027	0.2027	NUM
cana-5490	120	33	hz	hz	VERB
cana-5490	120	34	r	r	NOUN
cana-5490	120	35	=	=	SYM
cana-5490	120	36	0.7	0.7	NUM
cana-5490	120	37	r	r	NOUN
cana-5490	120	38	=	=	SYM
cana-5490	120	39	1.0	1.0	NUM
cana-5490	120	40	-0.6229	-0.6229	NOUN
cana-5490	120	41	-0.6287	-0.6287	X
cana-5490	120	42	-0.5086	-0.5086	PROPN
cana-5490	120	43	-0.5064	-0.5064	PUNCT
cana-5490	120	44	-0.4514	-0.4514	PROPN
cana-5490	120	45	-0.4494	-0.4494	VERB
cana-5490	120	46	-0.4129	-0.4129	PROPN
cana-5490	120	47	-0.4121	-0.4121	VERB
cana-5490	120	48	7	7	NUM
cana-5490	120	49	.	.	PUNCT
cana-5490	120	50	interaction	interaction	NOUN
cana-5490	120	51	effect	effect	NOUN
cana-5490	120	52	for	for	ADP
cana-5490	120	53	mechanical	mechanical	ADJ
cana-5490	120	54	forces	force	NOUN
cana-5490	120	55	:	:	PUNCT
cana-5490	120	56	analyze	analyze	VERB
cana-5490	120	57	the	the	DET
cana-5490	120	58	pattern	pattern	NOUN
cana-5490	120	59	of	of	ADP
cana-5490	120	60	volume	volume	NOUN
cana-5490	120	61	fraction	fraction	NOUN
cana-5490	120	62	changes	change	NOUN
cana-5490	120	63	with	with	ADP
cana-5490	120	64	respect	respect	NOUN
cana-5490	120	65	to	to	ADP
cana-5490	120	66	radius	radius	NOUN
cana-5490	120	67	,	,	PUNCT
cana-5490	120	68	which	which	PRON
cana-5490	120	69	indicate	indicate	VERB
cana-5490	120	70	how	how	SCONJ
cana-5490	120	71	mechanical	mechanical	ADJ
cana-5490	120	72	forces	force	NOUN
cana-5490	120	73	affect	affect	VERB
cana-5490	120	74	the	the	DET
cana-5490	120	75	material	material	ADJ
cana-5490	120	76	distribution	distribution	NOUN
cana-5490	120	77	.	.	PUNCT
cana-5490	121	1	for	for	ADP
cana-5490	121	2	thermal	thermal	ADJ
cana-5490	121	3	effects	effect	NOUN
cana-5490	121	4	:	:	PUNCT
cana-5490	121	5	compare	compare	VERB
cana-5490	121	6	the	the	DET
cana-5490	121	7	value	value	NOUN
cana-5490	121	8	of	of	ADP
cana-5490	121	9	volume	volume	NOUN
cana-5490	121	10	fraction	fraction	NOUN
cana-5490	121	11	for	for	ADP
cana-5490	121	12	different	different	ADJ
cana-5490	121	13	value	value	NOUN
cana-5490	121	14	of	of	ADP
cana-5490	121	15	n.	n.	NOUN
cana-5490	121	16	if	if	SCONJ
cana-5490	121	17	n	n	PRON
cana-5490	121	18	represent	represent	VERB
cana-5490	121	19	thermal	thermal	ADJ
cana-5490	121	20	condition	condition	NOUN
cana-5490	121	21	then	then	ADV
cana-5490	121	22	analyze	analyze	VERB
cana-5490	121	23	how	how	SCONJ
cana-5490	121	24	temperature	temperature	NOUN
cana-5490	121	25	variations	variation	NOUN
cana-5490	121	26	influence	influence	VERB
cana-5490	121	27	material	material	NOUN
cana-5490	121	28	distribution	distribution	NOUN
cana-5490	121	29	.	.	PUNCT
cana-5490	122	1	communications	communication	NOUN
cana-5490	122	2	on	on	ADP
cana-5490	122	3	applied	apply	VERB
cana-5490	122	4	nonlinear	nonlinear	ADJ
cana-5490	122	5	analysis	analysis	NOUN
cana-5490	122	6	issn	issn	NOUN
cana-5490	122	7	:	:	PUNCT
cana-5490	122	8	1074	1074	NUM
cana-5490	122	9	-	-	PUNCT
cana-5490	122	10	133x	133x	NUM
cana-5490	122	11	vol	vol	VERB
cana-5490	122	12	32	32	NUM
cana-5490	122	13	no	no	NOUN
cana-5490	122	14	.	.	PUNCT
cana-5490	123	1	10s	10	NOUN
cana-5490	123	2	(	(	PUNCT
cana-5490	123	3	2025	2025	NUM
cana-5490	123	4	)	)	PUNCT
cana-5490	123	5	2429	2429	NUM
cana-5490	123	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	123	7	for	for	ADP
cana-5490	123	8	magnetic	magnetic	ADJ
cana-5490	123	9	effects	effect	NOUN
cana-5490	123	10	:	:	PUNCT
cana-5490	123	11	compare	compare	VERB
cana-5490	123	12	the	the	DET
cana-5490	123	13	value	value	NOUN
cana-5490	123	14	of	of	ADP
cana-5490	123	15	volume	volume	NOUN
cana-5490	123	16	fraction	fraction	NOUN
cana-5490	123	17	for	for	ADP
cana-5490	123	18	different	different	ADJ
cana-5490	123	19	value	value	NOUN
cana-5490	123	20	of	of	ADP
cana-5490	123	21	n.	n.	NOUN
cana-5490	123	22	if	if	SCONJ
cana-5490	123	23	n	n	PRON
cana-5490	123	24	represent	represent	VERB
cana-5490	123	25	magnetic	magnetic	ADJ
cana-5490	123	26	condition	condition	NOUN
cana-5490	123	27	then	then	ADV
cana-5490	123	28	analyze	analyze	VERB
cana-5490	123	29	how	how	SCONJ
cana-5490	123	30	magnetic	magnetic	ADJ
cana-5490	123	31	field	field	NOUN
cana-5490	123	32	variations	variation	NOUN
cana-5490	123	33	affect	affect	VERB
cana-5490	123	34	volume	volume	NOUN
cana-5490	123	35	fraction	fraction	NOUN
cana-5490	123	36	.	.	PUNCT
cana-5490	124	1	volume	volume	NOUN
cana-5490	124	2	fraction	fraction	NOUN
cana-5490	124	3	helps	help	VERB
cana-5490	124	4	to	to	PART
cana-5490	124	5	analyze	analyze	VERB
cana-5490	124	6	the	the	DET
cana-5490	124	7	distribution	distribution	NOUN
cana-5490	124	8	of	of	ADP
cana-5490	124	9	material	material	NOUN
cana-5490	124	10	a	a	PRON
cana-5490	124	11	and	and	CCONJ
cana-5490	124	12	material	material	NOUN
cana-5490	124	13	b	b	NOUN
cana-5490	124	14	in	in	ADP
cana-5490	124	15	rotating	rotate	VERB
cana-5490	124	16	functionally	functionally	ADV
cana-5490	124	17	graded	grade	VERB
cana-5490	124	18	material	material	NOUN
cana-5490	124	19	(	(	PUNCT
cana-5490	124	20	fgm	fgm	PROPN
cana-5490	124	21	)	)	PUNCT
cana-5490	124	22	shell	shell	NOUN
cana-5490	124	23	[	[	X
cana-5490	124	24	3	3	NUM
cana-5490	124	25	]	]	PUNCT
cana-5490	124	26	.	.	PUNCT
cana-5490	125	1	fgm	fgm	PROPN
cana-5490	125	2	shell	shell	NOUN
cana-5490	125	3	made	make	VERB
cana-5490	125	4	by	by	ADP
cana-5490	125	5	composite	composite	ADJ
cana-5490	125	6	material	material	NOUN
cana-5490	125	7	where	where	SCONJ
cana-5490	125	8	material	material	NOUN
cana-5490	125	9	property	property	NOUN
cana-5490	125	10	change	change	NOUN
cana-5490	125	11	with	with	ADP
cana-5490	125	12	respect	respect	NOUN
cana-5490	125	13	to	to	ADP
cana-5490	125	14	thickness	thickness	NOUN
cana-5490	125	15	of	of	ADP
cana-5490	125	16	shell	shell	NOUN
cana-5490	125	17	.	.	PUNCT
cana-5490	126	1	this	this	DET
cana-5490	126	2	variation	variation	NOUN
cana-5490	126	3	is	be	AUX
cana-5490	126	4	analyze	analyze	NOUN
cana-5490	126	5	and	and	CCONJ
cana-5490	126	6	controlled	control	VERB
cana-5490	126	7	by	by	ADP
cana-5490	126	8	volume	volume	NOUN
cana-5490	126	9	fraction	fraction	NOUN
cana-5490	126	10	of	of	ADP
cana-5490	126	11	each	each	DET
cana-5490	126	12	material	material	NOUN
cana-5490	126	13	at	at	ADP
cana-5490	126	14	each	each	DET
cana-5490	126	15	point	point	NOUN
cana-5490	126	16	.	.	PUNCT
cana-5490	127	1	in	in	ADP
cana-5490	127	2	this	this	DET
cana-5490	127	3	research	research	NOUN
cana-5490	127	4	,	,	PUNCT
cana-5490	127	5	the	the	DET
cana-5490	127	6	volume	volume	NOUN
cana-5490	127	7	fraction	fraction	NOUN
cana-5490	127	8	is	be	AUX
cana-5490	127	9	used	use	VERB
cana-5490	127	10	to	to	PART
cana-5490	127	11	represent	represent	VERB
cana-5490	127	12	the	the	DET
cana-5490	127	13	material	material	NOUN
cana-5490	127	14	properties	property	NOUN
cana-5490	127	15	,	,	PUNCT
cana-5490	127	16	such	such	ADJ
cana-5490	127	17	as	as	ADP
cana-5490	127	18	elastic	elastic	ADJ
cana-5490	127	19	modulus	modulus	NOUN
cana-5490	127	20	,	,	PUNCT
cana-5490	127	21	thermal	thermal	ADJ
cana-5490	127	22	conductivity	conductivity	NOUN
cana-5490	127	23	,	,	PUNCT
cana-5490	127	24	and	and	CCONJ
cana-5490	127	25	poisson	poisson	PROPN
cana-5490	127	26	’s	’s	PART
cana-5490	127	27	ratio	ratio	NOUN
cana-5490	128	1	[	[	X
cana-5490	128	2	3	3	NUM
cana-5490	128	3	]	]	PUNCT
cana-5490	128	4	,	,	PUNCT
cana-5490	128	5	changes	change	NOUN
cana-5490	128	6	from	from	ADP
cana-5490	128	7	the	the	DET
cana-5490	128	8	inner	inner	ADJ
cana-5490	128	9	radius	radius	NOUN
cana-5490	128	10	to	to	ADP
cana-5490	128	11	the	the	DET
cana-5490	128	12	outer	outer	ADJ
cana-5490	128	13	radius	radius	NOUN
cana-5490	128	14	of	of	ADP
cana-5490	128	15	the	the	DET
cana-5490	128	16	rotational	rotational	ADJ
cana-5490	128	17	functionally	functionally	ADV
cana-5490	128	18	graded	grade	VERB
cana-5490	128	19	material	material	NOUN
cana-5490	128	20	(	(	PUNCT
cana-5490	128	21	fgm	fgm	PROPN
cana-5490	128	22	)	)	PUNCT
cana-5490	128	23	shell	shell	NOUN
cana-5490	128	24	[	[	X
cana-5490	128	25	3	3	NUM
cana-5490	128	26	]	]	PUNCT
cana-5490	128	27	.	.	PUNCT
cana-5490	129	1	these	these	DET
cana-5490	129	2	changes	change	NOUN
cana-5490	129	3	are	be	AUX
cana-5490	129	4	important	important	ADJ
cana-5490	129	5	because	because	SCONJ
cana-5490	129	6	they	they	PRON
cana-5490	129	7	directly	directly	ADV
cana-5490	129	8	influence	influence	VERB
cana-5490	129	9	the	the	DET
cana-5490	129	10	shell	shell	NOUN
cana-5490	129	11	mechanical	mechanical	ADJ
cana-5490	129	12	,	,	PUNCT
cana-5490	129	13	thermal	thermal	ADJ
cana-5490	129	14	,	,	PUNCT
cana-5490	129	15	and	and	CCONJ
cana-5490	129	16	magnetic	magnetic	ADJ
cana-5490	129	17	behaviors	behavior	NOUN
cana-5490	129	18	.	.	PUNCT
cana-5490	130	1	the	the	DET
cana-5490	130	2	volume	volume	NOUN
cana-5490	130	3	fraction	fraction	NOUN
cana-5490	130	4	,	,	PUNCT
cana-5490	130	5	which	which	PRON
cana-5490	130	6	vary	vary	VERB
cana-5490	130	7	with	with	ADP
cana-5490	130	8	the	the	DET
cana-5490	130	9	radial	radial	ADJ
cana-5490	130	10	direction	direction	NOUN
cana-5490	130	11	from	from	ADP
cana-5490	130	12	the	the	DET
cana-5490	130	13	inner	inner	ADJ
cana-5490	130	14	radius	radius	NOUN
cana-5490	130	15	to	to	ADP
cana-5490	130	16	the	the	DET
cana-5490	130	17	outer	outer	ADJ
cana-5490	130	18	radius	radius	NOUN
cana-5490	130	19	,	,	PUNCT
cana-5490	130	20	affects	affect	VERB
cana-5490	130	21	the	the	DET
cana-5490	130	22	distribution	distribution	NOUN
cana-5490	130	23	of	of	ADP
cana-5490	130	24	stresses	stress	NOUN
cana-5490	130	25	,	,	PUNCT
cana-5490	130	26	displacements	displacement	NOUN
cana-5490	130	27	,	,	PUNCT
cana-5490	130	28	and	and	CCONJ
cana-5490	130	29	temperature	temperature	NOUN
cana-5490	130	30	gradients	gradient	NOUN
cana-5490	130	31	in	in	ADP
cana-5490	130	32	fgm	fgm	PROPN
cana-5490	130	33	shell	shell	NOUN
cana-5490	130	34	.	.	PUNCT
cana-5490	131	1	8	8	X
cana-5490	131	2	.	.	X
cana-5490	131	3	effect	effect	NOUN
cana-5490	131	4	of	of	ADP
cana-5490	131	5	parameter	parameter	NOUN
cana-5490	131	6	on	on	ADP
cana-5490	131	7	radial	radial	ADJ
cana-5490	131	8	displacement	displacement	NOUN
cana-5490	131	9	,	,	PUNCT
cana-5490	131	10	stress	stress	NOUN
cana-5490	131	11	,	,	PUNCT
cana-5490	131	12	axial	axial	ADJ
cana-5490	131	13	stress	stress	NOUN
cana-5490	131	14	and	and	CCONJ
cana-5490	131	15	magnetic	magnetic	ADJ
cana-5490	131	16	field	field	NOUN
cana-5490	131	17	1	1	NUM
cana-5490	131	18	.	.	PUNCT
cana-5490	131	19	effect	effect	NOUN
cana-5490	131	20	of	of	ADP
cana-5490	131	21	parameter	parameter	NOUN
cana-5490	131	22	n	n	CCONJ
cana-5490	131	23	on	on	ADP
cana-5490	131	24	radial	radial	ADJ
cana-5490	131	25	displacement	displacement	NOUN
cana-5490	131	26	:	:	PUNCT
cana-5490	131	27	this	this	DET
cana-5490	131	28	curve	curve	NOUN
cana-5490	131	29	has	have	AUX
cana-5490	131	30	shown	show	VERB
cana-5490	131	31	the	the	DET
cana-5490	131	32	changes	change	NOUN
cana-5490	131	33	in	in	ADP
cana-5490	131	34	the	the	DET
cana-5490	131	35	parameter	parameter	NOUN
cana-5490	131	36	n	n	PROPN
cana-5490	131	37	on	on	ADP
cana-5490	131	38	the	the	DET
cana-5490	131	39	radial	radial	ADJ
cana-5490	131	40	displacement	displacement	NOUN
cana-5490	131	41	[	[	X
cana-5490	131	42	3	3	NUM
cana-5490	131	43	]	]	PUNCT
cana-5490	131	44	.	.	PUNCT
cana-5490	132	1	here	here	ADV
cana-5490	132	2	n	n	PRON
cana-5490	132	3	parameter	parameter	NOUN
cana-5490	132	4	related	relate	VERB
cana-5490	132	5	material	material	NOUN
cana-5490	132	6	properties	property	NOUN
cana-5490	132	7	,	,	PUNCT
cana-5490	132	8	thermal	thermal	ADJ
cana-5490	132	9	expansion	expansion	NOUN
cana-5490	132	10	and	and	CCONJ
cana-5490	132	11	loading	loading	NOUN
cana-5490	132	12	conditions	condition	NOUN
cana-5490	132	13	of	of	ADP
cana-5490	132	14	the	the	DET
cana-5490	132	15	rotational	rotational	ADJ
cana-5490	132	16	functionally	functionally	ADV
cana-5490	132	17	graded	grade	VERB
cana-5490	132	18	material	material	NOUN
cana-5490	132	19	(	(	PUNCT
cana-5490	132	20	fgm	fgm	PROPN
cana-5490	132	21	)	)	PUNCT
cana-5490	132	22	shell	shell	NOUN
cana-5490	132	23	.	.	PUNCT
cana-5490	133	1	the	the	DET
cana-5490	133	2	curve	curve	NOUN
cana-5490	133	3	shown	show	VERB
cana-5490	133	4	the	the	DET
cana-5490	133	5	displacement	displacement	NOUN
cana-5490	133	6	from	from	ADP
cana-5490	133	7	the	the	DET
cana-5490	133	8	inner	inner	NOUN
cana-5490	133	9	to	to	ADP
cana-5490	133	10	outer	outer	ADJ
cana-5490	133	11	radius	radius	NOUN
cana-5490	133	12	at	at	ADP
cana-5490	133	13	different	different	ADJ
cana-5490	133	14	radial	radial	ADJ
cana-5490	133	15	positions	position	NOUN
cana-5490	133	16	.	.	PUNCT
cana-5490	134	1	as	as	ADP
cana-5490	134	2	the	the	DET
cana-5490	134	3	parameter	parameter	NOUN
cana-5490	134	4	n	n	PRON
cana-5490	134	5	increases	increase	NOUN
cana-5490	134	6	,	,	PUNCT
cana-5490	134	7	the	the	DET
cana-5490	134	8	radial	radial	ADJ
cana-5490	134	9	displacement	displacement	NOUN
cana-5490	134	10	[	[	X
cana-5490	134	11	3	3	X
cana-5490	134	12	]	]	PUNCT
cana-5490	134	13	of	of	ADP
cana-5490	134	14	the	the	DET
cana-5490	134	15	rotational	rotational	ADJ
cana-5490	134	16	functionally	functionally	ADV
cana-5490	134	17	graded	grade	VERB
cana-5490	134	18	material	material	NOUN
cana-5490	134	19	(	(	PUNCT
cana-5490	134	20	fgm	fgm	PROPN
cana-5490	134	21	)	)	PUNCT
cana-5490	134	22	shell	shell	NOUN
cana-5490	134	23	also	also	ADV
cana-5490	134	24	increases	increase	VERB
cana-5490	134	25	.	.	PUNCT
cana-5490	135	1	when	when	SCONJ
cana-5490	135	2	n	n	PRON
cana-5490	135	3	becomes	become	VERB
cana-5490	135	4	larger	large	ADJ
cana-5490	135	5	,	,	PUNCT
cana-5490	135	6	the	the	DET
cana-5490	135	7	rotational	rotational	ADJ
cana-5490	135	8	functional	functional	ADJ
cana-5490	135	9	graded	grade	VERB
cana-5490	135	10	material	material	NOUN
cana-5490	135	11	(	(	PUNCT
cana-5490	135	12	fgm	fgm	PROPN
cana-5490	135	13	)	)	PUNCT
cana-5490	135	14	shell	shell	NOUN
cana-5490	135	15	experiences	experience	VERB
cana-5490	135	16	more	more	ADJ
cana-5490	135	17	deformation	deformation	NOUN
cana-5490	135	18	or	or	CCONJ
cana-5490	135	19	displacement	displacement	NOUN
cana-5490	135	20	from	from	ADP
cana-5490	135	21	its	its	PRON
cana-5490	135	22	original	original	ADJ
cana-5490	135	23	shape	shape	NOUN
cana-5490	135	24	.	.	PUNCT
cana-5490	136	1	higher	high	ADJ
cana-5490	136	2	values	value	NOUN
cana-5490	136	3	of	of	ADP
cana-5490	136	4	n	n	PRON
cana-5490	136	5	could	could	AUX
cana-5490	136	6	make	make	VERB
cana-5490	136	7	the	the	DET
cana-5490	136	8	tube	tube	NOUN
cana-5490	136	9	less	less	ADV
cana-5490	136	10	stable	stable	ADJ
cana-5490	136	11	and	and	CCONJ
cana-5490	136	12	reduce	reduce	VERB
cana-5490	136	13	ability	ability	NOUN
cana-5490	136	14	to	to	PART
cana-5490	136	15	maintain	maintain	VERB
cana-5490	136	16	its	its	PRON
cana-5490	136	17	structural	structural	ADJ
cana-5490	136	18	integrity	integrity	NOUN
cana-5490	136	19	.	.	PUNCT
cana-5490	137	1	figure	figure	VERB
cana-5490	137	2	3	3	NUM
cana-5490	137	3	:	:	PUNCT
cana-5490	137	4	effects	effect	NOUN
cana-5490	137	5	of	of	ADP
cana-5490	137	6	n	n	NOUN
cana-5490	137	7	on	on	ADP
cana-5490	137	8	the	the	DET
cana-5490	137	9	radial	radial	ADJ
cana-5490	137	10	displacement	displacement	NOUN
cana-5490	137	11	u.	u.	NOUN
cana-5490	137	12	0	0	NUM
cana-5490	138	1	0.2	0.2	NUM
cana-5490	138	2	0.4	0.4	NUM
cana-5490	138	3	0.6	0.6	NUM
cana-5490	138	4	0.8	0.8	NUM
cana-5490	138	5	1	1	NUM
cana-5490	138	6	1.2	1.2	NUM
cana-5490	138	7	1.4	1.4	NUM
cana-5490	138	8	0.7	0.7	NUM
cana-5490	138	9	0.75	0.75	NUM
cana-5490	138	10	0.8	0.8	NUM
cana-5490	138	11	0.85	0.85	NUM
cana-5490	138	12	0.9	0.9	NUM
cana-5490	138	13	1	1	NUM
cana-5490	138	14	u	u	NOUN
cana-5490	138	15	r	r	NOUN
cana-5490	138	16	n=1.5	n=1.5	NOUN
cana-5490	138	17	n=3	n=3	PUNCT
cana-5490	138	18	n=5	n=5	PRON
cana-5490	138	19	n=10	n=10	NOUN
cana-5490	138	20	communications	communication	NOUN
cana-5490	138	21	on	on	ADP
cana-5490	138	22	applied	apply	VERB
cana-5490	138	23	nonlinear	nonlinear	ADJ
cana-5490	138	24	analysis	analysis	NOUN
cana-5490	138	25	issn	issn	NOUN
cana-5490	138	26	:	:	PUNCT
cana-5490	138	27	1074	1074	NUM
cana-5490	138	28	-	-	PUNCT
cana-5490	138	29	133x	133x	NUM
cana-5490	138	30	vol	vol	VERB
cana-5490	138	31	32	32	NUM
cana-5490	138	32	no	no	NOUN
cana-5490	138	33	.	.	PUNCT
cana-5490	139	1	10s	10	NOUN
cana-5490	139	2	(	(	PUNCT
cana-5490	139	3	2025	2025	NUM
cana-5490	139	4	)	)	PUNCT
cana-5490	139	5	2430	2430	NUM
cana-5490	139	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	139	7	2	2	X
cana-5490	139	8	.	.	PUNCT
cana-5490	139	9	effects	effect	NOUN
cana-5490	139	10	of	of	ADP
cana-5490	139	11	parameter	parameter	NOUN
cana-5490	139	12	n	n	PROPN
cana-5490	139	13	on	on	ADP
cana-5490	139	14	radial	radial	ADJ
cana-5490	139	15	stress	stress	NOUN
cana-5490	139	16	:	:	PUNCT
cana-5490	139	17	this	this	DET
cana-5490	139	18	curve	curve	NOUN
cana-5490	139	19	shown	show	VERB
cana-5490	139	20	changes	change	NOUN
cana-5490	139	21	in	in	ADP
cana-5490	139	22	radial	radial	ADJ
cana-5490	139	23	stress	stress	NOUN
cana-5490	139	24	with	with	ADP
cana-5490	139	25	the	the	DET
cana-5490	139	26	parameter	parameter	NOUN
cana-5490	139	27	n	n	PROPN
cana-5490	139	28	in	in	ADP
cana-5490	139	29	fgm	fgm	PROPN
cana-5490	139	30	shell	shell	NOUN
cana-5490	139	31	.	.	PUNCT
cana-5490	140	1	as	as	ADP
cana-5490	140	2	n	n	PRON
cana-5490	140	3	increases	increase	NOUN
cana-5490	140	4	,	,	PUNCT
cana-5490	140	5	radial	radial	ADJ
cana-5490	140	6	stress	stress	NOUN
cana-5490	140	7	may	may	AUX
cana-5490	140	8	either	either	CCONJ
cana-5490	140	9	increase	increase	VERB
cana-5490	140	10	or	or	CCONJ
cana-5490	140	11	decrease	decrease	NOUN
cana-5490	140	12	,	,	PUNCT
cana-5490	140	13	which	which	PRON
cana-5490	140	14	can	can	AUX
cana-5490	140	15	affect	affect	VERB
cana-5490	140	16	the	the	DET
cana-5490	140	17	shell	shell	NOUN
cana-5490	140	18	load	load	NOUN
cana-5490	140	19	-	-	PUNCT
cana-5490	140	20	bearing	bear	VERB
cana-5490	140	21	capacity	capacity	NOUN
cana-5490	140	22	and	and	CCONJ
cana-5490	140	23	failure	failure	NOUN
cana-5490	140	24	characteristics	characteristic	NOUN
cana-5490	140	25	.	.	PUNCT
cana-5490	141	1	figure	figure	VERB
cana-5490	141	2	4	4	NUM
cana-5490	141	3	:	:	PUNCT
cana-5490	141	4	effects	effect	NOUN
cana-5490	141	5	of	of	ADP
cana-5490	141	6	n	n	NOUN
cana-5490	141	7	on	on	ADP
cana-5490	141	8	the	the	DET
cana-5490	141	9	radial	radial	ADJ
cana-5490	141	10	stress	stress	NOUN
cana-5490	141	11	𝜎𝑟.	𝜎𝑟.	ADP
cana-5490	141	12	3	3	NUM
cana-5490	141	13	.	.	PUNCT
cana-5490	142	1	effects	effect	NOUN
cana-5490	142	2	of	of	ADP
cana-5490	142	3	parameter	parameter	NOUN
cana-5490	142	4	n	n	PROPN
cana-5490	142	5	on	on	ADP
cana-5490	142	6	circumferential	circumferential	ADJ
cana-5490	142	7	stress	stress	NOUN
cana-5490	142	8	:	:	PUNCT
cana-5490	142	9	figure	figure	NOUN
cana-5490	142	10	5	5	NUM
cana-5490	142	11	:	:	PUNCT
cana-5490	142	12	effects	effect	NOUN
cana-5490	142	13	of	of	ADP
cana-5490	142	14	n	n	NOUN
cana-5490	142	15	on	on	ADP
cana-5490	142	16	the	the	DET
cana-5490	142	17	circumferential	circumferential	ADJ
cana-5490	142	18	stress	stress	NOUN
cana-5490	142	19	𝜎𝜃.	𝜎𝜃.	VERB
cana-5490	142	20	this	this	DET
cana-5490	142	21	curve	curve	NOUN
cana-5490	142	22	shown	show	VERB
cana-5490	142	23	the	the	DET
cana-5490	142	24	effect	effect	NOUN
cana-5490	142	25	of	of	ADP
cana-5490	142	26	parameter	parameter	NOUN
cana-5490	142	27	n	n	PROPN
cana-5490	142	28	on	on	ADP
cana-5490	142	29	circumferential	circumferential	ADJ
cana-5490	142	30	stress	stress	NOUN
cana-5490	142	31	at	at	ADP
cana-5490	142	32	various	various	ADJ
cana-5490	142	33	location	location	NOUN
cana-5490	142	34	in	in	ADP
cana-5490	142	35	fgm	fgm	PROPN
cana-5490	142	36	shell	shell	NOUN
cana-5490	142	37	.	.	PUNCT
cana-5490	143	1	with	with	ADP
cana-5490	143	2	the	the	DET
cana-5490	143	3	help	help	NOUN
cana-5490	143	4	of	of	ADP
cana-5490	143	5	these	these	DET
cana-5490	143	6	relationships	relationship	NOUN
cana-5490	143	7	is	be	AUX
cana-5490	143	8	crucial	crucial	ADJ
cana-5490	143	9	for	for	ADP
cana-5490	143	10	designing	design	VERB
cana-5490	143	11	fgm	fgm	PROPN
cana-5490	143	12	tubes	tube	NOUN
cana-5490	143	13	that	that	PRON
cana-5490	143	14	can	can	AUX
cana-5490	143	15	effectively	effectively	ADV
cana-5490	143	16	manage	manage	VERB
cana-5490	143	17	stresses	stress	NOUN
cana-5490	143	18	,	,	PUNCT
cana-5490	143	19	thus	thus	ADV
cana-5490	143	20	preventing	prevent	VERB
cana-5490	143	21	premature	premature	ADJ
cana-5490	143	22	failure	failure	NOUN
cana-5490	143	23	[	[	X
cana-5490	143	24	3	3	X
cana-5490	143	25	]	]	PUNCT
cana-5490	143	26	under	under	ADP
cana-5490	143	27	operational	operational	ADJ
cana-5490	143	28	conditions	condition	NOUN
cana-5490	143	29	.	.	PUNCT
cana-5490	144	1	-1	-1	PUNCT
cana-5490	144	2	-0.8	-0.8	PROPN
cana-5490	144	3	-0.6	-0.6	PROPN
cana-5490	144	4	-0.4	-0.4	X
cana-5490	144	5	-0.2	-0.2	PROPN
cana-5490	144	6	0	0	NUM
cana-5490	144	7	0.7	0.7	NUM
cana-5490	144	8	0.75	0.75	NUM
cana-5490	144	9	0.8	0.8	NUM
cana-5490	144	10	0.85	0.85	NUM
cana-5490	144	11	0.9	0.9	NUM
cana-5490	144	12	1	1	NUM
cana-5490	145	1	𝜎r	𝜎r	NOUN
cana-5490	145	2	r	r	NOUN
cana-5490	145	3	n=1.5	n=1.5	NOUN
cana-5490	145	4	n=3	n=3	PUNCT
cana-5490	145	5	n=5	n=5	ADJ
cana-5490	145	6	n=10	n=10	NOUN
cana-5490	145	7	0	0	NUM
cana-5490	145	8	0.5	0.5	NUM
cana-5490	145	9	1	1	NUM
cana-5490	145	10	1.5	1.5	NUM
cana-5490	145	11	2	2	NUM
cana-5490	145	12	2.5	2.5	NUM
cana-5490	145	13	3	3	NUM
cana-5490	145	14	3.5	3.5	NUM
cana-5490	145	15	0.7	0.7	NUM
cana-5490	145	16	0.75	0.75	NUM
cana-5490	145	17	0.8	0.8	NUM
cana-5490	145	18	0.85	0.85	NUM
cana-5490	145	19	0.9	0.9	NUM
cana-5490	145	20	1	1	NUM
cana-5490	145	21	𝜎𝜃	𝜎𝜃	NOUN
cana-5490	145	22	r	r	NOUN
cana-5490	145	23	n=1.5	n=1.5	NOUN
cana-5490	145	24	n=3	n=3	PUNCT
cana-5490	145	25	n=5	n=5	PRON
cana-5490	145	26	n=10	n=10	NOUN
cana-5490	145	27	communications	communication	NOUN
cana-5490	145	28	on	on	ADP
cana-5490	145	29	applied	apply	VERB
cana-5490	145	30	nonlinear	nonlinear	ADJ
cana-5490	145	31	analysis	analysis	NOUN
cana-5490	145	32	issn	issn	NOUN
cana-5490	145	33	:	:	PUNCT
cana-5490	145	34	1074	1074	NUM
cana-5490	145	35	-	-	PUNCT
cana-5490	145	36	133x	133x	NUM
cana-5490	145	37	vol	vol	VERB
cana-5490	145	38	32	32	NUM
cana-5490	145	39	no	no	NOUN
cana-5490	145	40	.	.	PUNCT
cana-5490	146	1	10s	10	NOUN
cana-5490	146	2	(	(	PUNCT
cana-5490	146	3	2025	2025	NUM
cana-5490	146	4	)	)	PUNCT
cana-5490	146	5	2431	2431	NUM
cana-5490	146	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	146	7	4	4	X
cana-5490	146	8	.	.	PUNCT
cana-5490	146	9	effects	effect	NOUN
cana-5490	146	10	of	of	ADP
cana-5490	146	11	parameter	parameter	NOUN
cana-5490	146	12	n	n	PROPN
cana-5490	146	13	on	on	ADP
cana-5490	146	14	magnetic	magnetic	ADJ
cana-5490	146	15	field	field	NOUN
cana-5490	146	16	figure	figure	NOUN
cana-5490	146	17	6	6	NUM
cana-5490	146	18	:	:	PUNCT
cana-5490	146	19	effects	effect	NOUN
cana-5490	146	20	of	of	ADP
cana-5490	146	21	n	n	NOUN
cana-5490	146	22	on	on	ADP
cana-5490	146	23	the	the	DET
cana-5490	146	24	perturbation	perturbation	NOUN
cana-5490	146	25	of	of	ADP
cana-5490	146	26	magnetic	magnetic	ADJ
cana-5490	146	27	field	field	NOUN
cana-5490	146	28	hz	hz	VERB
cana-5490	146	29	.	.	PUNCT
cana-5490	147	1	this	this	DET
cana-5490	147	2	curve	curve	NOUN
cana-5490	147	3	shows	show	VERB
cana-5490	147	4	perturbation	perturbation	NOUN
cana-5490	147	5	of	of	ADP
cana-5490	147	6	the	the	DET
cana-5490	147	7	magnetic	magnetic	ADJ
cana-5490	147	8	field	field	NOUN
cana-5490	147	9	[	[	X
cana-5490	147	10	3	3	X
cana-5490	147	11	]	]	PUNCT
cana-5490	147	12	changes	change	NOUN
cana-5490	147	13	with	with	ADP
cana-5490	147	14	the	the	DET
cana-5490	147	15	parameter	parameter	NOUN
cana-5490	147	16	n	n	CCONJ
cana-5490	147	17	at	at	ADP
cana-5490	147	18	different	different	ADJ
cana-5490	147	19	radial	radial	ADJ
cana-5490	147	20	position	position	NOUN
cana-5490	147	21	.	.	PUNCT
cana-5490	148	1	in	in	ADP
cana-5490	148	2	the	the	DET
cana-5490	148	3	figure	figure	NOUN
cana-5490	148	4	6	6	NUM
cana-5490	148	5	,	,	PUNCT
cana-5490	148	6	the	the	DET
cana-5490	148	7	distribution	distribution	NOUN
cana-5490	148	8	of	of	ADP
cana-5490	148	9	the	the	DET
cana-5490	148	10	magnetic	magnetic	ADJ
cana-5490	148	11	field	field	NOUN
cana-5490	148	12	perturbation	perturbation	NOUN
cana-5490	148	13	across	across	ADP
cana-5490	148	14	the	the	DET
cana-5490	148	15	radial	radial	ADJ
cana-5490	148	16	positions	position	NOUN
cana-5490	148	17	remains	remain	VERB
cana-5490	148	18	relatively	relatively	ADV
cana-5490	148	19	constant	constant	ADJ
cana-5490	148	20	.	.	PUNCT
cana-5490	149	1	9	9	X
cana-5490	149	2	.	.	X
cana-5490	149	3	conclusion	conclusion	NOUN
cana-5490	149	4	in	in	ADP
cana-5490	149	5	conclusion	conclusion	NOUN
cana-5490	149	6	,	,	PUNCT
cana-5490	149	7	the	the	DET
cana-5490	149	8	study	study	NOUN
cana-5490	149	9	demonstrates	demonstrate	VERB
cana-5490	149	10	that	that	SCONJ
cana-5490	149	11	the	the	DET
cana-5490	149	12	behaviour	behaviour	NOUN
cana-5490	149	13	of	of	ADP
cana-5490	149	14	functionally	functionally	ADV
cana-5490	149	15	graded	grade	VERB
cana-5490	149	16	material	material	NOUN
cana-5490	149	17	(	(	PUNCT
cana-5490	149	18	fgm	fgm	PROPN
cana-5490	149	19	)	)	PUNCT
cana-5490	149	20	shells	shell	NOUN
cana-5490	149	21	is	be	AUX
cana-5490	149	22	significantly	significantly	ADV
cana-5490	149	23	influenced	influence	VERB
cana-5490	149	24	by	by	ADP
cana-5490	149	25	factors	factor	NOUN
cana-5490	149	26	such	such	ADJ
cana-5490	149	27	as	as	ADP
cana-5490	149	28	volume	volume	NOUN
cana-5490	149	29	fraction	fraction	NOUN
cana-5490	149	30	,	,	PUNCT
cana-5490	149	31	thermal	thermal	ADJ
cana-5490	149	32	expansion	expansion	NOUN
cana-5490	149	33	coefficient	coefficient	NOUN
cana-5490	149	34	,	,	PUNCT
cana-5490	149	35	and	and	CCONJ
cana-5490	149	36	poisson	poisson	PROPN
cana-5490	149	37	’s	’s	PART
cana-5490	149	38	ratio	ratio	NOUN
cana-5490	149	39	.	.	PUNCT
cana-5490	150	1	the	the	DET
cana-5490	150	2	voigt	voigt	PROPN
cana-5490	150	3	model	model	NOUN
cana-5490	150	4	provides	provide	VERB
cana-5490	150	5	an	an	DET
cana-5490	150	6	accurate	accurate	ADJ
cana-5490	150	7	representation	representation	NOUN
cana-5490	150	8	of	of	ADP
cana-5490	150	9	the	the	DET
cana-5490	150	10	stress	stress	NOUN
cana-5490	150	11	-	-	PUNCT
cana-5490	150	12	strain	strain	NOUN
cana-5490	150	13	relationship	relationship	NOUN
cana-5490	150	14	for	for	ADP
cana-5490	150	15	fgm	fgm	PROPN
cana-5490	150	16	shells	shell	NOUN
cana-5490	150	17	subjected	subject	VERB
cana-5490	150	18	to	to	ADP
cana-5490	150	19	combined	combined	ADJ
cana-5490	150	20	mechanical	mechanical	ADJ
cana-5490	150	21	,	,	PUNCT
cana-5490	150	22	thermal	thermal	ADJ
cana-5490	150	23	,	,	PUNCT
cana-5490	150	24	and	and	CCONJ
cana-5490	150	25	magnetic	magnetic	ADJ
cana-5490	150	26	loads	load	NOUN
cana-5490	150	27	,	,	PUNCT
cana-5490	150	28	confirming	confirm	VERB
cana-5490	150	29	the	the	DET
cana-5490	150	30	validity	validity	NOUN
cana-5490	150	31	of	of	ADP
cana-5490	150	32	the	the	DET
cana-5490	150	33	results	result	NOUN
cana-5490	150	34	when	when	SCONJ
cana-5490	150	35	specific	specific	ADJ
cana-5490	150	36	parameter	parameter	NOUN
cana-5490	150	37	values	value	NOUN
cana-5490	150	38	are	be	AUX
cana-5490	150	39	chosen	choose	VERB
cana-5490	150	40	.	.	PUNCT
cana-5490	151	1	these	these	DET
cana-5490	151	2	insights	insight	NOUN
cana-5490	151	3	are	be	AUX
cana-5490	151	4	valuable	valuable	ADJ
cana-5490	151	5	for	for	ADP
cana-5490	151	6	the	the	DET
cana-5490	151	7	engineering	engineering	NOUN
cana-5490	151	8	design	design	NOUN
cana-5490	151	9	and	and	CCONJ
cana-5490	151	10	application	application	NOUN
cana-5490	151	11	of	of	ADP
cana-5490	151	12	fgm	fgm	PROPN
cana-5490	151	13	tubes	tube	NOUN
cana-5490	151	14	in	in	ADP
cana-5490	151	15	multi	multi	ADJ
cana-5490	151	16	-	-	ADJ
cana-5490	151	17	field	field	ADJ
cana-5490	151	18	environments	environment	NOUN
cana-5490	151	19	,	,	PUNCT
cana-5490	151	20	enhancing	enhance	VERB
cana-5490	151	21	both	both	PRON
cana-5490	151	22	their	their	PRON
cana-5490	151	23	performance	performance	NOUN
cana-5490	151	24	and	and	CCONJ
cana-5490	151	25	structural	structural	ADJ
cana-5490	151	26	integrity	integrity	NOUN
cana-5490	151	27	.	.	PUNCT
cana-5490	152	1	the	the	DET
cana-5490	152	2	research	research	NOUN
cana-5490	152	3	further	further	ADJ
cana-5490	152	4	highlights	highlight	VERB
cana-5490	152	5	the	the	DET
cana-5490	152	6	critical	critical	ADJ
cana-5490	152	7	role	role	NOUN
cana-5490	152	8	of	of	ADP
cana-5490	152	9	poisson	poisson	NOUN
cana-5490	152	10	’s	’s	PART
cana-5490	152	11	ratio	ratio	NOUN
cana-5490	152	12	in	in	ADP
cana-5490	152	13	determining	determine	VERB
cana-5490	152	14	the	the	DET
cana-5490	152	15	stress	stress	NOUN
cana-5490	152	16	distribution	distribution	NOUN
cana-5490	152	17	within	within	ADP
cana-5490	152	18	functionally	functionally	ADV
cana-5490	152	19	graded	grade	VERB
cana-5490	152	20	thick	thick	ADJ
cana-5490	152	21	-	-	PUNCT
cana-5490	152	22	walled	wall	VERB
cana-5490	152	23	tubes	tube	NOUN
cana-5490	152	24	under	under	ADP
cana-5490	152	25	various	various	ADJ
cana-5490	152	26	load	load	NOUN
cana-5490	152	27	conditions	condition	NOUN
cana-5490	152	28	.	.	PUNCT
cana-5490	153	1	notably	notably	ADV
cana-5490	153	2	,	,	PUNCT
cana-5490	153	3	radial	radial	ADJ
cana-5490	153	4	stress	stress	NOUN
cana-5490	153	5	exhibits	exhibit	VERB
cana-5490	153	6	considerable	considerable	ADJ
cana-5490	153	7	variation	variation	NOUN
cana-5490	153	8	across	across	ADP
cana-5490	153	9	the	the	DET
cana-5490	153	10	tube	tube	NOUN
cana-5490	153	11	’s	’s	PART
cana-5490	153	12	radius	radius	NOUN
cana-5490	153	13	,	,	PUNCT
cana-5490	153	14	with	with	ADP
cana-5490	153	15	the	the	DET
cana-5490	153	16	greatest	great	ADJ
cana-5490	153	17	difference	difference	NOUN
cana-5490	153	18	observed	observe	VERB
cana-5490	153	19	at	at	ADP
cana-5490	153	20	the	the	DET
cana-5490	153	21	mid	mid	NOUN
cana-5490	153	22	-	-	NOUN
cana-5490	153	23	radius	radius	NOUN
cana-5490	153	24	.	.	PUNCT
cana-5490	154	1	poisson	poisson	PROPN
cana-5490	154	2	’s	’s	PART
cana-5490	154	3	ratio	ratio	NOUN
cana-5490	154	4	notably	notably	ADV
cana-5490	154	5	influences	influence	VERB
cana-5490	154	6	circumferential	circumferential	ADJ
cana-5490	154	7	and	and	CCONJ
cana-5490	154	8	axial	axial	ADJ
cana-5490	154	9	stresses	stress	NOUN
cana-5490	154	10	,	,	PUNCT
cana-5490	154	11	particularly	particularly	ADV
cana-5490	154	12	near	near	ADP
cana-5490	154	13	the	the	DET
cana-5490	154	14	inner	inner	ADJ
cana-5490	154	15	radius	radius	NOUN
cana-5490	154	16	,	,	PUNCT
cana-5490	154	17	with	with	ADP
cana-5490	154	18	axial	axial	ADJ
cana-5490	154	19	stress	stress	NOUN
cana-5490	154	20	displaying	display	VERB
cana-5490	154	21	a	a	DET
cana-5490	154	22	significant	significant	ADJ
cana-5490	154	23	variation	variation	NOUN
cana-5490	154	24	between	between	ADP
cana-5490	154	25	the	the	DET
cana-5490	154	26	inner	inner	ADJ
cana-5490	154	27	and	and	CCONJ
cana-5490	154	28	outer	outer	ADJ
cana-5490	154	29	radii	radius	NOUN
cana-5490	154	30	.	.	PUNCT
cana-5490	155	1	furthermore	furthermore	ADV
cana-5490	155	2	,	,	PUNCT
cana-5490	155	3	an	an	DET
cana-5490	155	4	increase	increase	NOUN
cana-5490	155	5	in	in	ADP
cana-5490	155	6	poisson	poisson	PROPN
cana-5490	155	7	’s	’s	PART
cana-5490	155	8	ratio	ratio	NOUN
cana-5490	155	9	leads	lead	VERB
cana-5490	155	10	to	to	ADP
cana-5490	155	11	substantial	substantial	ADJ
cana-5490	155	12	changes	change	NOUN
cana-5490	155	13	in	in	ADP
cana-5490	155	14	the	the	DET
cana-5490	155	15	magnetic	magnetic	ADJ
cana-5490	155	16	field	field	NOUN
cana-5490	155	17	perturbation	perturbation	NOUN
cana-5490	155	18	,	,	PUNCT
cana-5490	155	19	though	though	SCONJ
cana-5490	155	20	it	it	PRON
cana-5490	155	21	has	have	VERB
cana-5490	155	22	minimal	minimal	ADJ
cana-5490	155	23	effect	effect	NOUN
cana-5490	155	24	on	on	ADP
cana-5490	155	25	horizontal	horizontal	ADJ
cana-5490	155	26	distribution	distribution	NOUN
cana-5490	155	27	.	.	PUNCT
cana-5490	156	1	these	these	DET
cana-5490	156	2	findings	finding	NOUN
cana-5490	156	3	emphasize	emphasize	VERB
cana-5490	156	4	the	the	DET
cana-5490	156	5	importance	importance	NOUN
cana-5490	156	6	of	of	ADP
cana-5490	156	7	carefully	carefully	ADV
cana-5490	156	8	considering	consider	VERB
cana-5490	156	9	poisson	poisson	PROPN
cana-5490	156	10	’s	’s	PART
cana-5490	156	11	ratio	ratio	NOUN
cana-5490	156	12	when	when	SCONJ
cana-5490	156	13	analysing	analyse	VERB
cana-5490	156	14	fgm	fgm	PROPN
cana-5490	156	15	tubes	tube	NOUN
cana-5490	156	16	under	under	ADP
cana-5490	156	17	multi	multi	ADJ
cana-5490	156	18	-	-	ADJ
cana-5490	156	19	field	field	ADJ
cana-5490	156	20	loading	loading	NOUN
cana-5490	156	21	conditions	condition	NOUN
cana-5490	156	22	.	.	PUNCT
cana-5490	157	1	-1	-1	PUNCT
cana-5490	157	2	-0.8	-0.8	PROPN
cana-5490	157	3	-0.6	-0.6	PROPN
cana-5490	157	4	-0.4	-0.4	X
cana-5490	157	5	-0.2	-0.2	PROPN
cana-5490	157	6	0	0	NUM
cana-5490	157	7	0.7	0.7	NUM
cana-5490	157	8	0.75	0.75	NUM
cana-5490	157	9	0.8	0.8	NUM
cana-5490	157	10	0.85	0.85	NUM
cana-5490	157	11	0.9	0.9	NUM
cana-5490	157	12	1	1	NUM
cana-5490	157	13	hz	hz	VERB
cana-5490	157	14	r	r	NOUN
cana-5490	157	15	n=1.5	n=1.5	NOUN
cana-5490	157	16	n=3	n=3	PUNCT
cana-5490	157	17	n=5	n=5	PRON
cana-5490	157	18	n=10	n=10	NOUN
cana-5490	157	19	communications	communication	NOUN
cana-5490	157	20	on	on	ADP
cana-5490	157	21	applied	apply	VERB
cana-5490	157	22	nonlinear	nonlinear	ADJ
cana-5490	157	23	analysis	analysis	NOUN
cana-5490	157	24	issn	issn	NOUN
cana-5490	157	25	:	:	PUNCT
cana-5490	157	26	1074	1074	NUM
cana-5490	157	27	-	-	PUNCT
cana-5490	157	28	133x	133x	NUM
cana-5490	157	29	vol	vol	VERB
cana-5490	157	30	32	32	NUM
cana-5490	157	31	no	no	NOUN
cana-5490	157	32	.	.	PUNCT
cana-5490	158	1	10s	10	NOUN
cana-5490	158	2	(	(	PUNCT
cana-5490	158	3	2025	2025	NUM
cana-5490	158	4	)	)	PUNCT
cana-5490	158	5	2432	2432	NUM
cana-5490	158	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	158	7	10	10	NUM
cana-5490	158	8	.	.	PUNCT
cana-5490	159	1	abbreviations	abbreviation	NOUN
cana-5490	159	2	𝜏𝑖𝑗	𝜏𝑖𝑗	PROPN
cana-5490	159	3	:	:	PUNCT
cana-5490	159	4	stress	stress	NOUN
cana-5490	159	5	tensor	tensor	NOUN
cana-5490	159	6	𝜆	𝜆	NOUN
cana-5490	159	7	,	,	PUNCT
cana-5490	159	8	𝜇	𝜇	X
cana-5490	159	9	:	:	PUNCT
cana-5490	159	10	lame	lame	ADJ
cana-5490	159	11	constants	constant	NOUN
cana-5490	159	12	𝛼𝑡	𝛼𝑡	NOUN
cana-5490	159	13	:	:	PUNCT
cana-5490	159	14	coefficient	coefficient	NOUN
cana-5490	159	15	of	of	ADP
cana-5490	159	16	the	the	DET
cana-5490	159	17	material	material	NOUN
cana-5490	159	18	’s	’s	PART
cana-5490	159	19	linear	linear	ADJ
cana-5490	159	20	thermal	thermal	ADJ
cana-5490	159	21	expansion	expansion	NOUN
cana-5490	159	22	t	t	PROPN
cana-5490	159	23	:	:	PUNCT
cana-5490	159	24	absolute	absolute	ADJ
cana-5490	159	25	temperature	temperature	NOUN
cana-5490	159	26	𝑇0	𝑇0	NOUN
cana-5490	159	27	:	:	PUNCT
cana-5490	159	28	reference	reference	NOUN
cana-5490	159	29	temperature	temperature	NOUN
cana-5490	159	30	∇	∇	X
cana-5490	159	31	t	t	NOUN
cana-5490	159	32	:	:	PUNCT
cana-5490	159	33	temperature	temperature	NOUN
cana-5490	159	34	gradient	gradient	NOUN
cana-5490	159	35	q	q	NOUN
cana-5490	159	36	:	:	PUNCT
cana-5490	159	37	heat	heat	NOUN
cana-5490	159	38	flux	flux	NOUN
cana-5490	159	39	vector	vector	PROPN
cana-5490	159	40	k	k	NOUN
cana-5490	159	41	:	:	PUNCT
cana-5490	159	42	thermal	thermal	ADJ
cana-5490	159	43	conductivity	conductivity	NOUN
cana-5490	159	44	q	q	NOUN
cana-5490	159	45	:	:	PUNCT
cana-5490	159	46	heat	heat	PROPN
cana-5490	159	47	source	source	NOUN
cana-5490	159	48	ce	ce	PROPN
cana-5490	159	49	:	:	PUNCT
cana-5490	159	50	specific	specific	ADJ
cana-5490	159	51	heat	heat	NOUN
cana-5490	159	52	of	of	ADP
cana-5490	159	53	the	the	DET
cana-5490	159	54	medium	medium	ADJ
cana-5490	159	55	fi	fi	NOUN
cana-5490	159	56	:	:	PUNCT
cana-5490	159	57	body	body	NOUN
cana-5490	159	58	force	force	NOUN
cana-5490	159	59	components	component	NOUN
cana-5490	159	60	t	t	PROPN
cana-5490	159	61	:	:	PUNCT
cana-5490	159	62	time	time	NOUN
cana-5490	159	63	variable	variable	ADJ
cana-5490	159	64	ui	ui	PROPN
cana-5490	159	65	:	:	PUNCT
cana-5490	159	66	displacement	displacement	ADJ
cana-5490	159	67	vector	vector	NOUN
cana-5490	159	68	eij	eij	PROPN
cana-5490	159	69	:	:	PUNCT
cana-5490	159	70	strain	strain	PROPN
cana-5490	159	71	tensor	tensor	NOUN
cana-5490	159	72	ρ	ρ	NOUN
cana-5490	159	73	:	:	PUNCT
cana-5490	159	74	density	density	NOUN
cana-5490	159	75	of	of	ADP
cana-5490	159	76	the	the	DET
cana-5490	159	77	medium	medium	NOUN
cana-5490	159	78	e	e	NOUN
cana-5490	159	79	:	:	PUNCT
cana-5490	159	80	cubical	cubical	ADJ
cana-5490	159	81	dilatation	dilatation	NOUN
cana-5490	159	82	μ0	μ0	NOUN
cana-5490	159	83	:	:	PUNCT
cana-5490	159	84	magnetic	magnetic	ADJ
cana-5490	159	85	permeability	permeability	NOUN
cana-5490	159	86	references	reference	NOUN
cana-5490	159	87	[	[	X
cana-5490	159	88	1	1	NUM
cana-5490	159	89	]	]	X
cana-5490	159	90	g.	g.	PROPN
cana-5490	159	91	a.	a.	PROPN
cana-5490	159	92	maugin	maugin	PROPN
cana-5490	159	93	(	(	PUNCT
cana-5490	159	94	1996	1996	NUM
cana-5490	159	95	)	)	PUNCT
cana-5490	159	96	,	,	PUNCT
cana-5490	159	97	magneto	magneto	NOUN
cana-5490	159	98	-	-	PUNCT
cana-5490	159	99	elasticity	elasticity	NOUN
cana-5490	159	100	and	and	CCONJ
cana-5490	159	101	magneto	magneto	NOUN
cana-5490	159	102	-	-	PUNCT
cana-5490	159	103	thermo	thermo	NOUN
cana-5490	159	104	-	-	PUNCT
cana-5490	159	105	elasticity	elasticity	NOUN
cana-5490	159	106	,	,	PUNCT
cana-5490	159	107	advances	advance	NOUN
cana-5490	159	108	in	in	ADP
cana-5490	159	109	applied	apply	VERB
cana-5490	159	110	mechanics	mechanic	NOUN
cana-5490	159	111	,	,	PUNCT
cana-5490	159	112	volume	volume	NOUN
cana-5490	159	113	10	10	NUM
cana-5490	159	114	,	,	PUNCT
cana-5490	159	115	1966	1966	NUM
cana-5490	159	116	,	,	PUNCT
cana-5490	159	117	pages	page	NOUN
cana-5490	159	118	73	73	NUM
cana-5490	159	119	-	-	SYM
cana-5490	159	120	112	112	NUM
cana-5490	159	121	.	.	PUNCT
cana-5490	160	1	[	[	X
cana-5490	160	2	2	2	X
cana-5490	160	3	]	]	PUNCT
cana-5490	160	4	yuda	yuda	NOUN
cana-5490	160	5	hu	hu	PROPN
cana-5490	160	6	and	and	CCONJ
cana-5490	160	7	tao	tao	PROPN
cana-5490	160	8	yang	yang	PROPN
cana-5490	160	9	,	,	PUNCT
cana-5490	160	10	(	(	PUNCT
cana-5490	160	11	october	october	PROPN
cana-5490	160	12	2024	2024	NUM
cana-5490	160	13	)	)	PUNCT
cana-5490	160	14	.	.	PUNCT
cana-5490	161	1	magneto	magneto	VERB
cana-5490	161	2	-	-	PUNCT
cana-5490	161	3	thermoelastic	thermoelastic	ADJ
cana-5490	161	4	nonlinear	nonlinear	ADJ
cana-5490	161	5	dynamic	dynamic	ADJ
cana-5490	161	6	modeling	modeling	NOUN
cana-5490	161	7	of	of	ADP
cana-5490	161	8	a	a	DET
cana-5490	161	9	rotating	rotating	NOUN
cana-5490	161	10	functionally	functionally	ADV
cana-5490	161	11	graded	grade	VERB
cana-5490	161	12	shell	shell	NOUN
cana-5490	161	13	.	.	PUNCT
cana-5490	162	1	international	international	ADJ
cana-5490	162	2	journal	journal	PROPN
cana-5490	162	3	of	of	ADP
cana-5490	162	4	mechanical	mechanical	ADJ
cana-5490	162	5	sciences	science	NOUN
cana-5490	162	6	,	,	PUNCT
cana-5490	162	7	volume	volume	NOUN
cana-5490	162	8	165	165	NUM
cana-5490	162	9	,	,	PUNCT
cana-5490	162	10	october	october	PROPN
cana-5490	162	11	2024	2024	NUM
cana-5490	162	12	,	,	PUNCT
cana-5490	162	13	104818	104818	NUM
cana-5490	162	14	.	.	PUNCT
cana-5490	163	1	[	[	X
cana-5490	163	2	3	3	X
cana-5490	163	3	]	]	PUNCT
cana-5490	163	4	tiane	tiane	PROPN
cana-5490	163	5	li	li	PROPN
cana-5490	163	6	,	,	PUNCT
cana-5490	163	7	jiabao	jiabao	PROPN
cana-5490	163	8	li	li	PROPN
cana-5490	163	9	,	,	PUNCT
cana-5490	163	10	xuekang	xuekang	PROPN
cana-5490	163	11	liu	liu	PROPN
cana-5490	163	12	,	,	PUNCT
cana-5490	163	13	yaozhi	yaozhi	PROPN
cana-5490	163	14	luo	luo	PROPN
cana-5490	163	15	(	(	PUNCT
cana-5490	163	16	september	september	PROPN
cana-5490	163	17	2022	2022	NUM
cana-5490	163	18	)	)	PUNCT
cana-5490	163	19	magneto	magneto	NOUN
cana-5490	163	20	-	-	PUNCT
cana-5490	163	21	thermo	thermo	NOUN
cana-5490	163	22	-	-	PUNCT
cana-5490	163	23	elastic	elastic	ADJ
cana-5490	163	24	theoretical	theoretical	ADJ
cana-5490	163	25	solution	solution	NOUN
cana-5490	163	26	for	for	ADP
cana-5490	163	27	functionally	functionally	ADV
cana-5490	163	28	graded	grade	VERB
cana-5490	163	29	thick	thick	ADJ
cana-5490	163	30	-	-	PUNCT
cana-5490	163	31	walled	wall	VERB
cana-5490	163	32	tube	tube	NOUN
cana-5490	163	33	under	under	ADP
cana-5490	163	34	magnetic	magnetic	ADJ
cana-5490	163	35	,	,	PUNCT
cana-5490	163	36	thermal	thermal	ADJ
cana-5490	163	37	and	and	CCONJ
cana-5490	163	38	mechanical	mechanical	ADJ
cana-5490	163	39	loads	load	NOUN
cana-5490	163	40	based	base	VERB
cana-5490	163	41	on	on	ADP
cana-5490	163	42	voigt	voigt	PROPN
cana-5490	163	43	method	method	NOUN
cana-5490	163	44	,	,	PUNCT
cana-5490	163	45	materials	material	NOUN
cana-5490	163	46	,	,	PUNCT
cana-5490	163	47	volume	volume	NOUN
cana-5490	163	48	15	15	NUM
cana-5490	163	49	,	,	PUNCT
cana-5490	163	50	18	18	NUM
cana-5490	163	51	.	.	PUNCT
cana-5490	164	1	[	[	X
cana-5490	164	2	4	4	NUM
cana-5490	164	3	]	]	X
cana-5490	164	4	mihir	mihir	PROPN
cana-5490	164	5	baran	baran	PROPN
cana-5490	164	6	bera	bera	NOUN
cana-5490	164	7	,	,	PUNCT
cana-5490	164	8	manoj	manoj	PROPN
cana-5490	164	9	kumar	kumar	PROPN
cana-5490	164	10	mondal	mondal	PROPN
cana-5490	164	11	,	,	PUNCT
cana-5490	164	12	biplab	biplab	PROPN
cana-5490	164	13	sinha	sinha	PROPN
cana-5490	164	14	mahapatra	mahapatra	PROPN
cana-5490	164	15	,	,	PUNCT
cana-5490	164	16	gourisankar	gourisankar	ADJ
cana-5490	164	17	roymahapatra	roymahapatra	NOUN
cana-5490	164	18	(	(	PUNCT
cana-5490	164	19	january	january	PROPN
cana-5490	164	20	2020	2020	NUM
cana-5490	164	21	)	)	PUNCT
cana-5490	164	22	generalized	generalized	ADJ
cana-5490	164	23	theory	theory	NOUN
cana-5490	164	24	of	of	ADP
cana-5490	164	25	thermoelasticity	thermoelasticity	NOUN
cana-5490	164	26	in	in	ADP
cana-5490	164	27	isotropic	isotropic	NOUN
cana-5490	164	28	and	and	CCONJ
cana-5490	164	29	homogenious	homogenious	ADJ
cana-5490	164	30	thermoelastic	thermoelastic	ADJ
cana-5490	164	31	solids	solid	NOUN
cana-5490	164	32	,	,	PUNCT
cana-5490	164	33	vol.11	vol.11	PROPN
cana-5490	164	34	no.03	no.03	X
cana-5490	164	35	.	.	PUNCT
cana-5490	165	1	[	[	X
cana-5490	165	2	5	5	NUM
cana-5490	165	3	]	]	PUNCT
cana-5490	165	4	thermal	thermal	ADJ
cana-5490	165	5	stresses	stress	NOUN
cana-5490	165	6	associated	associate	VERB
cana-5490	165	7	with	with	ADP
cana-5490	165	8	thermosensitive	thermosensitive	NOUN
cana-5490	165	9	multilayered	multilayere	VERB
cana-5490	165	10	disc	disc	NOUN
cana-5490	165	11	analysed	analyse	VERB
cana-5490	165	12	due	due	ADP
cana-5490	165	13	to	to	PART
cana-5490	165	14	point	point	VERB
cana-5490	165	15	heating	heating	NOUN
cana-5490	165	16	vol	vol	NOUN
cana-5490	165	17	29	29	NUM
cana-5490	165	18	feb	feb	NOUN
cana-5490	165	19	202	202	NUM
cana-5490	165	20	4	4	NUM
cana-5490	165	21	v.b.srinivas	v.b.srinivas	NOUN
cana-5490	165	22	vk	vk	ADP
cana-5490	165	23	manthena	manthena	NOUN
cana-5490	165	24	gd	gd	PROPN
cana-5490	165	25	kedar	kedar	PROPN
cana-5490	166	1	[	[	X
cana-5490	166	2	6	6	NUM
cana-5490	166	3	]	]	PUNCT
cana-5490	166	4	ahmed	ahmed	PROPN
cana-5490	166	5	e.	e.	PROPN
cana-5490	166	6	abouelregal	abouelregal	PROPN
cana-5490	166	7	,	,	PUNCT
cana-5490	166	8	bekir	bekir	PROPN
cana-5490	166	9	akgöz	akgöz	PROPN
cana-5490	166	10	,	,	PUNCT
cana-5490	166	11	ömer	ömer	PROPN
cana-5490	166	12	civalek	civalek	PROPN
cana-5490	167	1	et	et	PROPN
cana-5490	167	2	al	al	PROPN
cana-5490	167	3	.	.	PROPN
cana-5490	167	4	magneto	magneto	PROPN
cana-5490	167	5	-	-	PUNCT
cana-5490	167	6	thermoelastic	thermoelastic	ADJ
cana-5490	167	7	interactions	interaction	NOUN
cana-5490	167	8	in	in	ADP
cana-5490	167	9	an	an	DET
cana-5490	167	10	unbounded	unbounded	ADJ
cana-5490	167	11	orthotropic	orthotropic	ADJ
cana-5490	167	12	viscoelastic	viscoelastic	NOUN
cana-5490	167	13	solid	solid	ADJ
cana-5490	167	14	under	under	ADP
cana-5490	167	15	the	the	DET
cana-5490	167	16	hall	hall	NOUN
cana-5490	167	17	current	current	ADJ
cana-5490	167	18	effect	effect	NOUN
cana-5490	167	19	by	by	ADP
cana-5490	167	20	the	the	DET
cana-5490	167	21	fourth	fourth	ADJ
cana-5490	167	22	-	-	PUNCT
cana-5490	167	23	order	order	NOUN
cana-5490	167	24	moore	moore	PROPN
cana-5490	167	25	-	-	PUNCT
cana-5490	167	26	gibson	gibson	PROPN
cana-5490	167	27	-	-	PUNCT
cana-5490	167	28	thompson	thompson	PROPN
cana-5490	167	29	equation	equation	NOUN
cana-5490	167	30	,	,	PUNCT
cana-5490	167	31	volume	volume	NOUN
cana-5490	167	32	141	141	NUM
cana-5490	167	33	,	,	PUNCT
cana-5490	167	34	1	1	NUM
cana-5490	167	35	july	july	PROPN
cana-5490	167	36	2023	2023	NUM
cana-5490	167	37	,	,	PUNCT
cana-5490	167	38	pages	page	VERB
cana-5490	167	39	102	102	NUM
cana-5490	167	40	-	-	SYM
cana-5490	167	41	115	115	NUM
cana-5490	167	42	communications	communication	NOUN
cana-5490	167	43	on	on	ADP
cana-5490	167	44	applied	apply	VERB
cana-5490	167	45	nonlinear	nonlinear	ADJ
cana-5490	167	46	analysis	analysis	NOUN
cana-5490	167	47	issn	issn	NOUN
cana-5490	167	48	:	:	PUNCT
cana-5490	167	49	1074	1074	NUM
cana-5490	167	50	-	-	PUNCT
cana-5490	167	51	133x	133x	NUM
cana-5490	167	52	vol	vol	VERB
cana-5490	167	53	32	32	NUM
cana-5490	167	54	no	no	NOUN
cana-5490	167	55	.	.	PUNCT
cana-5490	168	1	10s	10	NOUN
cana-5490	168	2	(	(	PUNCT
cana-5490	168	3	2025	2025	NUM
cana-5490	168	4	)	)	PUNCT
cana-5490	168	5	2433	2433	NUM
cana-5490	168	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5490	169	1	[	[	X
cana-5490	169	2	7	7	X
cana-5490	169	3	]	]	X
cana-5490	169	4	iqbal	iqbal	PROPN
cana-5490	169	5	kaur	kaur	PROPN
cana-5490	169	6	,	,	PUNCT
cana-5490	169	7	kulvinder	kulvinder	PROPN
cana-5490	169	8	singh	singh	PROPN
cana-5490	169	9	et	et	PROPN
cana-5490	169	10	al	al	PROPN
cana-5490	169	11	.	.	PUNCT
cana-5490	170	1	recent	recent	ADJ
cana-5490	170	2	advances	advance	NOUN
cana-5490	170	3	in	in	ADP
cana-5490	170	4	the	the	DET
cana-5490	170	5	theory	theory	NOUN
cana-5490	170	6	of	of	ADP
cana-5490	170	7	thermoelasticity	thermoelasticity	NOUN
cana-5490	170	8	and	and	CCONJ
cana-5490	170	9	the	the	DET
cana-5490	170	10	modified	modify	VERB
cana-5490	170	11	models	model	NOUN
cana-5490	170	12	for	for	ADP
cana-5490	170	13	the	the	DET
cana-5490	170	14	nanobeams	nanobeam	NOUN
cana-5490	170	15	:	:	PUNCT
cana-5490	170	16	a	a	DET
cana-5490	170	17	review	review	NOUN
cana-5490	170	18	,	,	PUNCT
cana-5490	170	19	volume	volume	NOUN
cana-5490	170	20	2	2	NUM
cana-5490	170	21	,	,	PUNCT
cana-5490	170	22	article	article	NOUN
cana-5490	170	23	number	number	NOUN
cana-5490	170	24	2	2	NUM
cana-5490	170	25	,	,	PUNCT
cana-5490	170	26	(	(	PUNCT
cana-5490	170	27	2023	2023	NUM
cana-5490	170	28	)	)	PUNCT
cana-5490	171	1	[	[	X
cana-5490	171	2	8	8	NUM
cana-5490	171	3	]	]	PUNCT
cana-5490	171	4	mohamed	mohamed	PROPN
cana-5490	171	5	i.a	i.a	PROPN
cana-5490	171	6	.	.	PROPN
cana-5490	171	7	othman	othman	PROPN
cana-5490	171	8	,	,	PUNCT
cana-5490	171	9	samia	samia	PROPN
cana-5490	171	10	m.	m.	PROPN
cana-5490	171	11	said	say	VERB
cana-5490	171	12	et	et	PROPN
cana-5490	171	13	al	al	PROPN
cana-5490	171	14	.	.	PUNCT
cana-5490	172	1	a	a	DET
cana-5490	172	2	new	new	ADJ
cana-5490	172	3	three	three	NUM
cana-5490	172	4	-	-	PUNCT
cana-5490	172	5	phase	phase	NOUN
cana-5490	172	6	-	-	PUNCT
cana-5490	172	7	lag	lag	NOUN
cana-5490	172	8	model	model	NOUN
cana-5490	172	9	for	for	ADP
cana-5490	172	10	magnetothermoelastic	magnetothermoelastic	ADJ
cana-5490	172	11	diffusive	diffusive	ADJ
cana-5490	172	12	medium	medium	NOUN
cana-5490	172	13	with	with	ADP
cana-5490	172	14	microconcentration	microconcentration	NOUN
cana-5490	172	15	,	,	PUNCT
cana-5490	172	16	volume	volume	NOUN
cana-5490	172	17	161	161	NUM
cana-5490	172	18	,	,	PUNCT
cana-5490	172	19	february	february	PROPN
cana-5490	172	20	2025	2025	NUM
cana-5490	172	21	[	[	X
cana-5490	172	22	9	9	NUM
cana-5490	172	23	]	]	PUNCT
cana-5490	172	24	zuhur	zuhur	PROPN
cana-5490	172	25	alqahtani	alqahtani	PROPN
cana-5490	172	26	,	,	PUNCT
cana-5490	172	27	ibrahim	ibrahim	PROPN
cana-5490	172	28	abbas	abbas	PROPN
cana-5490	172	29	et	et	PROPN
cana-5490	172	30	al	al	PROPN
cana-5490	172	31	.	.	PROPN
cana-5490	172	32	magneto	magneto	PROPN
cana-5490	172	33	-	-	PUNCT
cana-5490	172	34	electro	electro	VERB
cana-5490	172	35	-	-	PUNCT
cana-5490	172	36	thermoelastic	thermoelastic	ADJ
cana-5490	172	37	interaction	interaction	NOUN
cana-5490	172	38	in	in	ADP
cana-5490	172	39	unbounded	unbounded	ADJ
cana-5490	172	40	media	medium	NOUN
cana-5490	172	41	containing	contain	VERB
cana-5490	172	42	cylindrical	cylindrical	ADJ
cana-5490	172	43	cavities	cavity	NOUN
cana-5490	172	44	caused	cause	VERB
cana-5490	172	45	by	by	ADP
cana-5490	172	46	a	a	DET
cana-5490	172	47	pulsed	pulse	VERB
cana-5490	172	48	heat	heat	NOUN
cana-5490	172	49	flux	flux	NOUN
cana-5490	172	50	,	,	PUNCT
cana-5490	172	51	volume	volume	NOUN
cana-5490	172	52	37	37	NUM
cana-5490	172	53	,	,	PUNCT
cana-5490	172	54	issue	issue	NOUN
cana-5490	172	55	2	2	NUM
cana-5490	172	56	february	february	NOUN
cana-5490	172	57	2025	2025	NUM
cana-5490	172	58	[	[	X
cana-5490	172	59	10	10	NUM
cana-5490	172	60	]	]	X
cana-5490	172	61	analytical	analytical	ADJ
cana-5490	172	62	solution	solution	NOUN
cana-5490	172	63	of	of	ADP
cana-5490	172	64	heat	heat	NOUN
cana-5490	172	65	conduction	conduction	NOUN
cana-5490	172	66	of	of	ADP
cana-5490	172	67	a	a	DET
cana-5490	172	68	multilayered	multilayered	ADJ
cana-5490	172	69	annular	annular	ADJ
cana-5490	172	70	disk	disk	NOUN
cana-5490	172	71	and	and	CCONJ
cana-5490	172	72	associated	associated	ADJ
cana-5490	172	73	thermal	thermal	ADJ
cana-5490	172	74	deflection	deflection	NOUN
cana-5490	172	75	and	and	CCONJ
cana-5490	172	76	t	t	PROPN
cana-5490	172	77	hermal	hermal	PROPN
cana-5490	172	78	stresses	stress	NOUN
cana-5490	172	79	volume	volume	VERB
cana-5490	172	80	43	43	NUM
cana-5490	172	81	,	,	PUNCT
cana-5490	172	82	2020	2020	NUM
cana-5490	172	83	issue	issue	VERB
cana-5490	172	84	5	5	NUM
cana-5490	172	85	pg	pg	NOUN
cana-5490	172	86	563	563	NUM
cana-5490	172	87	24	24	NUM
cana-5490	172	88	mar	mar	PROPN
cana-5490	172	89	2020	2020	NUM
cana-5490	172	90	v.b.srinivas	v.b.srinivas	PROPN
cana-5490	172	91	,	,	PUNCT
cana-5490	172	92	g.d.kedar	g.d.kedar	NOUN