id	sid	tid	token	lemma	pos
fis-1254	1	1	microsoft	microsoft	PROPN
fis-1254	1	2	word	word	NOUN
fis-1254	1	3	numero_29_art_20	numero_29_art_20	ADP
fis-1254	1	4	r	r	PROPN
fis-1254	1	5	massabò	massabò	PROPN
fis-1254	1	6	,	,	PUNCT
fis-1254	1	7	frattura	frattura	PROPN
fis-1254	1	8	ed	ed	PROPN
fis-1254	1	9	integrità	integrità	PROPN
fis-1254	1	10	strutturale	strutturale	PROPN
fis-1254	1	11	,	,	PUNCT
fis-1254	1	12	29(2014	29(2014	NUM
fis-1254	1	13	)	)	PUNCT
fis-1254	1	14	230	230	NUM
fis-1254	1	15	-	-	SYM
fis-1254	1	16	240	240	NUM
fis-1254	1	17	;	;	PUNCT
fis-1254	1	18	doi	doi	NOUN
fis-1254	1	19	:	:	PUNCT
fis-1254	1	20	10.3221	10.3221	NUM
fis-1254	1	21	/	/	SYM
fis-1254	1	22	igf	igf	PROPN
fis-1254	1	23	-	-	ADJ
fis-1254	1	24	esis.29.20	esis.29.20	NOUN
fis-1254	1	25	230	230	NUM
fis-1254	1	26	focussed	focusse	VERB
fis-1254	1	27	on	on	ADP
fis-1254	1	28	:	:	PUNCT
fis-1254	1	29	computational	computational	ADJ
fis-1254	1	30	mechanics	mechanic	NOUN
fis-1254	1	31	and	and	CCONJ
fis-1254	1	32	mechanics	mechanic	NOUN
fis-1254	1	33	of	of	ADP
fis-1254	1	34	materials	material	NOUN
fis-1254	1	35	in	in	ADP
fis-1254	1	36	italy	italy	PROPN
fis-1254	1	37	influence	influence	NOUN
fis-1254	1	38	of	of	ADP
fis-1254	1	39	boundary	boundary	ADJ
fis-1254	1	40	conditions	condition	NOUN
fis-1254	1	41	on	on	ADP
fis-1254	1	42	the	the	DET
fis-1254	1	43	response	response	NOUN
fis-1254	1	44	of	of	ADP
fis-1254	1	45	multilayered	multilayered	ADJ
fis-1254	1	46	plates	plate	NOUN
fis-1254	1	47	with	with	ADP
fis-1254	1	48	cohesive	cohesive	ADJ
fis-1254	1	49	interfaces	interface	NOUN
fis-1254	1	50	and	and	CCONJ
fis-1254	1	51	delaminations	delamination	NOUN
fis-1254	1	52	using	use	VERB
fis-1254	1	53	a	a	DET
fis-1254	1	54	homogenized	homogenized	ADJ
fis-1254	1	55	approach	approach	NOUN
fis-1254	1	56	r.	r.	PROPN
fis-1254	1	57	massabò	massabò	PROPN
fis-1254	1	58	university	university	PROPN
fis-1254	1	59	of	of	ADP
fis-1254	1	60	genova	genova	PROPN
fis-1254	1	61	,	,	PUNCT
fis-1254	1	62	genova	genova	PROPN
fis-1254	1	63	,	,	PUNCT
fis-1254	1	64	italy	italy	PROPN
fis-1254	1	65	roberta.massabo@unige.it	roberta.massabo@unige.it	PROPN
fis-1254	1	66	abstract	abstract	PROPN
fis-1254	1	67	.	.	PUNCT
fis-1254	2	1	stress	stress	NOUN
fis-1254	2	2	and	and	CCONJ
fis-1254	2	3	displacement	displacement	ADJ
fis-1254	2	4	fields	field	NOUN
fis-1254	2	5	in	in	ADP
fis-1254	2	6	multilayered	multilayered	ADJ
fis-1254	2	7	composites	composite	NOUN
fis-1254	2	8	with	with	ADP
fis-1254	2	9	interfacial	interfacial	ADJ
fis-1254	2	10	imperfections	imperfection	NOUN
fis-1254	2	11	,	,	PUNCT
fis-1254	2	12	such	such	ADJ
fis-1254	2	13	as	as	ADP
fis-1254	2	14	imperfect	imperfect	ADJ
fis-1254	2	15	bonding	bonding	NOUN
fis-1254	2	16	of	of	ADP
fis-1254	2	17	the	the	DET
fis-1254	2	18	layers	layer	NOUN
fis-1254	2	19	or	or	CCONJ
fis-1254	2	20	delaminations	delamination	NOUN
fis-1254	2	21	,	,	PUNCT
fis-1254	2	22	or	or	CCONJ
fis-1254	2	23	where	where	SCONJ
fis-1254	2	24	the	the	DET
fis-1254	2	25	plies	ply	NOUN
fis-1254	2	26	are	be	AUX
fis-1254	2	27	separated	separate	VERB
fis-1254	2	28	by	by	ADP
fis-1254	2	29	thin	thin	ADJ
fis-1254	2	30	interlayers	interlayer	NOUN
fis-1254	2	31	allowing	allow	VERB
fis-1254	2	32	relative	relative	ADJ
fis-1254	2	33	motion	motion	NOUN
fis-1254	2	34	,	,	PUNCT
fis-1254	2	35	have	have	VERB
fis-1254	2	36	large	large	ADJ
fis-1254	2	37	variations	variation	NOUN
fis-1254	2	38	in	in	ADP
fis-1254	2	39	the	the	DET
fis-1254	2	40	thickness	thickness	NOUN
fis-1254	2	41	,	,	PUNCT
fis-1254	2	42	with	with	ADP
fis-1254	2	43	characteristic	characteristic	ADJ
fis-1254	2	44	zigzag	zigzag	NOUN
fis-1254	2	45	patterns	pattern	NOUN
fis-1254	2	46	and	and	CCONJ
fis-1254	2	47	jumps	jump	VERB
fis-1254	2	48	at	at	ADP
fis-1254	2	49	the	the	DET
fis-1254	2	50	layer	layer	NOUN
fis-1254	2	51	interfaces	interface	NOUN
fis-1254	2	52	.	.	PUNCT
fis-1254	3	1	these	these	DET
fis-1254	3	2	effects	effect	NOUN
fis-1254	3	3	are	be	AUX
fis-1254	3	4	well	well	ADV
fis-1254	3	5	captured	capture	VERB
fis-1254	3	6	by	by	ADP
fis-1254	3	7	a	a	DET
fis-1254	3	8	model	model	NOUN
fis-1254	3	9	recently	recently	ADV
fis-1254	3	10	formulated	formulate	VERB
fis-1254	3	11	by	by	ADP
fis-1254	3	12	the	the	DET
fis-1254	3	13	author	author	NOUN
fis-1254	3	14	for	for	ADP
fis-1254	3	15	multilayered	multilayered	ADJ
fis-1254	3	16	plates	plate	NOUN
fis-1254	3	17	with	with	ADP
fis-1254	3	18	imperfect	imperfect	ADJ
fis-1254	3	19	interfaces	interface	NOUN
fis-1254	3	20	and	and	CCONJ
fis-1254	3	21	affine	affine	VERB
fis-1254	3	22	interfacial	interfacial	ADJ
fis-1254	3	23	traction	traction	NOUN
fis-1254	3	24	laws	law	NOUN
fis-1254	3	25	(	(	PUNCT
fis-1254	3	26	massabò	massabò	PROPN
fis-1254	3	27	&	&	CCONJ
fis-1254	3	28	campi	campi	PROPN
fis-1254	3	29	,	,	PUNCT
fis-1254	3	30	meccanica	meccanica	PROPN
fis-1254	3	31	,	,	PUNCT
fis-1254	3	32	2014	2014	NUM
fis-1254	3	33	,	,	PUNCT
fis-1254	3	34	in	in	ADP
fis-1254	3	35	press	press	NOUN
fis-1254	3	36	;	;	PUNCT
fis-1254	3	37	compos	compos	NOUN
fis-1254	3	38	struct	struct	NOUN
fis-1254	3	39	,	,	PUNCT
fis-1254	3	40	2014	2014	NUM
fis-1254	3	41	,	,	PUNCT
fis-1254	3	42	116	116	NUM
fis-1254	3	43	,	,	PUNCT
fis-1254	3	44	311	311	NUM
fis-1254	3	45	-	-	SYM
fis-1254	3	46	324	324	NUM
fis-1254	3	47	)	)	PUNCT
fis-1254	3	48	.	.	PUNCT
fis-1254	4	1	the	the	DET
fis-1254	4	2	model	model	NOUN
fis-1254	4	3	defines	define	VERB
fis-1254	4	4	a	a	DET
fis-1254	4	5	homogenized	homogenized	ADJ
fis-1254	4	6	displacement	displacement	ADJ
fis-1254	4	7	field	field	NOUN
fis-1254	4	8	,	,	PUNCT
fis-1254	4	9	which	which	PRON
fis-1254	4	10	satisfies	satisfy	VERB
fis-1254	4	11	interfacial	interfacial	ADJ
fis-1254	4	12	continuity	continuity	NOUN
fis-1254	4	13	,	,	PUNCT
fis-1254	4	14	and	and	CCONJ
fis-1254	4	15	uses	use	VERB
fis-1254	4	16	a	a	DET
fis-1254	4	17	variational	variational	ADJ
fis-1254	4	18	technique	technique	NOUN
fis-1254	4	19	to	to	PART
fis-1254	4	20	derive	derive	VERB
fis-1254	4	21	equilibrium	equilibrium	NOUN
fis-1254	4	22	equations	equation	NOUN
fis-1254	4	23	depending	depend	VERB
fis-1254	4	24	on	on	ADP
fis-1254	4	25	only	only	ADV
fis-1254	4	26	six	six	NUM
fis-1254	4	27	generalized	generalized	ADJ
fis-1254	4	28	displacement	displacement	ADJ
fis-1254	4	29	functions	function	NOUN
fis-1254	4	30	,	,	PUNCT
fis-1254	4	31	for	for	ADP
fis-1254	4	32	any	any	DET
fis-1254	4	33	arbitrary	arbitrary	ADJ
fis-1254	4	34	numbers	number	NOUN
fis-1254	4	35	of	of	ADP
fis-1254	4	36	layers	layer	NOUN
fis-1254	4	37	and	and	CCONJ
fis-1254	4	38	interfaces	interface	NOUN
fis-1254	4	39	.	.	PUNCT
fis-1254	5	1	the	the	DET
fis-1254	5	2	model	model	NOUN
fis-1254	5	3	accurately	accurately	ADV
fis-1254	5	4	predicts	predict	VERB
fis-1254	5	5	stresses	stress	NOUN
fis-1254	5	6	and	and	CCONJ
fis-1254	5	7	displacements	displacement	NOUN
fis-1254	5	8	in	in	ADP
fis-1254	5	9	simply	simply	ADV
fis-1254	5	10	supported	support	VERB
fis-1254	5	11	,	,	PUNCT
fis-1254	5	12	highly	highly	ADV
fis-1254	5	13	anisotropic	anisotropic	NOUN
fis-1254	5	14	,	,	PUNCT
fis-1254	5	15	thick	thick	ADJ
fis-1254	5	16	plates	plate	NOUN
fis-1254	5	17	with	with	ADP
fis-1254	5	18	continuous	continuous	ADJ
fis-1254	5	19	,	,	PUNCT
fis-1254	5	20	sliding	slide	VERB
fis-1254	5	21	interfaces	interface	NOUN
fis-1254	5	22	.	.	PUNCT
fis-1254	6	1	in	in	ADP
fis-1254	6	2	this	this	DET
fis-1254	6	3	paper	paper	NOUN
fis-1254	6	4	the	the	DET
fis-1254	6	5	model	model	NOUN
fis-1254	6	6	is	be	AUX
fis-1254	6	7	applied	apply	VERB
fis-1254	6	8	to	to	ADP
fis-1254	6	9	wide	wide	ADJ
fis-1254	6	10	plates	plate	NOUN
fis-1254	6	11	with	with	ADP
fis-1254	6	12	clamped	clamp	VERB
fis-1254	6	13	edges	edge	NOUN
fis-1254	6	14	and	and	CCONJ
fis-1254	6	15	some	some	DET
fis-1254	6	16	inconsistencies	inconsistency	NOUN
fis-1254	6	17	,	,	PUNCT
fis-1254	6	18	which	which	PRON
fis-1254	6	19	have	have	AUX
fis-1254	6	20	been	be	AUX
fis-1254	6	21	noted	note	VERB
fis-1254	6	22	in	in	ADP
fis-1254	6	23	the	the	DET
fis-1254	6	24	literature	literature	NOUN
fis-1254	6	25	for	for	ADP
fis-1254	6	26	models	model	NOUN
fis-1254	6	27	based	base	VERB
fis-1254	6	28	on	on	ADP
fis-1254	6	29	similar	similar	ADJ
fis-1254	6	30	approaches	approach	NOUN
fis-1254	6	31	and	and	CCONJ
fis-1254	6	32	have	have	AUX
fis-1254	6	33	limited	limit	VERB
fis-1254	6	34	their	their	PRON
fis-1254	6	35	utilization	utilization	NOUN
fis-1254	6	36	,	,	PUNCT
fis-1254	6	37	are	be	AUX
fis-1254	6	38	explained	explain	VERB
fis-1254	6	39	.	.	PUNCT
fis-1254	7	1	a	a	DET
fis-1254	7	2	generalized	generalized	ADJ
fis-1254	7	3	transverse	transverse	NOUN
fis-1254	7	4	shear	shear	NOUN
fis-1254	7	5	force	force	NOUN
fis-1254	7	6	is	be	AUX
fis-1254	7	7	introduced	introduce	VERB
fis-1254	7	8	as	as	ADP
fis-1254	7	9	the	the	DET
fis-1254	7	10	gross	gross	ADJ
fis-1254	7	11	stress	stress	NOUN
fis-1254	7	12	resultant	resultant	NOUN
fis-1254	7	13	which	which	PRON
fis-1254	7	14	is	be	AUX
fis-1254	7	15	directly	directly	ADV
fis-1254	7	16	related	relate	VERB
fis-1254	7	17	to	to	ADP
fis-1254	7	18	the	the	DET
fis-1254	7	19	bending	bend	VERB
fis-1254	7	20	moment	moment	NOUN
fis-1254	7	21	in	in	ADP
fis-1254	7	22	the	the	DET
fis-1254	7	23	equilibrium	equilibrium	NOUN
fis-1254	7	24	equations	equation	NOUN
fis-1254	7	25	of	of	ADP
fis-1254	7	26	multilayered	multilayere	VERB
fis-1254	7	27	structures	structure	NOUN
fis-1254	7	28	with	with	ADP
fis-1254	7	29	imperfect	imperfect	ADJ
fis-1254	7	30	interfaces	interface	NOUN
fis-1254	7	31	and	and	CCONJ
fis-1254	7	32	substitutes	substitute	NOUN
fis-1254	7	33	for	for	ADP
fis-1254	7	34	the	the	DET
fis-1254	7	35	shear	shear	NOUN
fis-1254	7	36	force	force	NOUN
fis-1254	7	37	of	of	ADP
fis-1254	7	38	single	single	ADJ
fis-1254	7	39	-	-	PUNCT
fis-1254	7	40	layer	layer	NOUN
fis-1254	7	41	theory	theory	NOUN
fis-1254	7	42	.	.	PUNCT
fis-1254	8	1	an	an	DET
fis-1254	8	2	application	application	NOUN
fis-1254	8	3	to	to	ADP
fis-1254	8	4	a	a	DET
fis-1254	8	5	delaminated	delaminate	VERB
fis-1254	8	6	wide	wide	ADJ
fis-1254	8	7	plate	plate	NOUN
fis-1254	8	8	highlights	highlight	VERB
fis-1254	8	9	the	the	DET
fis-1254	8	10	potential	potential	NOUN
fis-1254	8	11	and	and	CCONJ
fis-1254	8	12	limitations	limitation	NOUN
fis-1254	8	13	of	of	ADP
fis-1254	8	14	the	the	DET
fis-1254	8	15	proposed	propose	VERB
fis-1254	8	16	model	model	NOUN
fis-1254	8	17	for	for	ADP
fis-1254	8	18	the	the	DET
fis-1254	8	19	solution	solution	NOUN
fis-1254	8	20	of	of	ADP
fis-1254	8	21	fracture	fracture	ADJ
fis-1254	8	22	mechanics	mechanic	NOUN
fis-1254	8	23	problems	problem	NOUN
fis-1254	8	24	.	.	PUNCT
fis-1254	9	1	keywords	keyword	NOUN
fis-1254	9	2	.	.	PUNCT
fis-1254	10	1	composites	composite	NOUN
fis-1254	10	2	;	;	PUNCT
fis-1254	10	3	cohesive	cohesive	ADJ
fis-1254	10	4	interfaces	interface	NOUN
fis-1254	10	5	;	;	PUNCT
fis-1254	10	6	delamination	delamination	NOUN
fis-1254	10	7	;	;	PUNCT
fis-1254	10	8	plate	plate	NOUN
fis-1254	10	9	theories	theory	NOUN
fis-1254	10	10	.	.	PUNCT
fis-1254	11	1	introduction	introduction	NOUN
fis-1254	11	2	tress	tress	NOUN
fis-1254	11	3	and	and	CCONJ
fis-1254	11	4	displacement	displacement	ADJ
fis-1254	11	5	fields	field	NOUN
fis-1254	11	6	in	in	ADP
fis-1254	11	7	multilayered	multilayered	ADJ
fis-1254	11	8	composites	composite	NOUN
fis-1254	11	9	with	with	ADP
fis-1254	11	10	interfacial	interfacial	ADJ
fis-1254	11	11	imperfections	imperfection	NOUN
fis-1254	11	12	,	,	PUNCT
fis-1254	11	13	such	such	ADJ
fis-1254	11	14	as	as	ADP
fis-1254	11	15	imperfect	imperfect	ADJ
fis-1254	11	16	bonding	bonding	NOUN
fis-1254	11	17	of	of	ADP
fis-1254	11	18	the	the	DET
fis-1254	11	19	layers	layer	NOUN
fis-1254	11	20	or	or	CCONJ
fis-1254	11	21	delaminations	delamination	NOUN
fis-1254	11	22	,	,	PUNCT
fis-1254	11	23	or	or	CCONJ
fis-1254	11	24	where	where	SCONJ
fis-1254	11	25	the	the	DET
fis-1254	11	26	plies	ply	NOUN
fis-1254	11	27	are	be	AUX
fis-1254	11	28	separated	separate	VERB
fis-1254	11	29	by	by	ADP
fis-1254	11	30	thin	thin	ADJ
fis-1254	11	31	interlayers	interlayer	NOUN
fis-1254	11	32	allowing	allow	VERB
fis-1254	11	33	relative	relative	ADJ
fis-1254	11	34	motion	motion	NOUN
fis-1254	11	35	,	,	PUNCT
fis-1254	11	36	have	have	VERB
fis-1254	11	37	large	large	ADJ
fis-1254	11	38	variations	variation	NOUN
fis-1254	11	39	in	in	ADP
fis-1254	11	40	the	the	DET
fis-1254	11	41	thickness	thickness	NOUN
fis-1254	11	42	,	,	PUNCT
fis-1254	11	43	with	with	ADP
fis-1254	11	44	characteristic	characteristic	ADJ
fis-1254	11	45	zigzag	zigzag	NOUN
fis-1254	11	46	patterns	pattern	NOUN
fis-1254	11	47	and	and	CCONJ
fis-1254	11	48	jumps	jump	VERB
fis-1254	11	49	at	at	ADP
fis-1254	11	50	the	the	DET
fis-1254	11	51	interfaces	interface	NOUN
fis-1254	11	52	.	.	PUNCT
fis-1254	12	1	these	these	DET
fis-1254	12	2	effects	effect	NOUN
fis-1254	12	3	can	can	AUX
fis-1254	12	4	not	not	PART
fis-1254	12	5	be	be	AUX
fis-1254	12	6	captured	capture	VERB
fis-1254	12	7	using	use	VERB
fis-1254	12	8	classical	classical	ADJ
fis-1254	12	9	firstor	firstor	NOUN
fis-1254	12	10	higher	high	ADJ
fis-1254	12	11	-	-	PUNCT
fis-1254	12	12	order	order	NOUN
fis-1254	12	13	single	single	ADJ
fis-1254	12	14	-	-	PUNCT
fis-1254	12	15	layer	layer	NOUN
fis-1254	12	16	theories	theory	NOUN
fis-1254	12	17	and	and	CCONJ
fis-1254	12	18	require	require	VERB
fis-1254	12	19	models	model	NOUN
fis-1254	12	20	based	base	VERB
fis-1254	12	21	on	on	ADP
fis-1254	12	22	a	a	DET
fis-1254	12	23	discrete	discrete	ADJ
fis-1254	12	24	-	-	PUNCT
fis-1254	12	25	layer	layer	NOUN
fis-1254	12	26	approach	approach	NOUN
fis-1254	12	27	,	,	PUNCT
fis-1254	12	28	where	where	SCONJ
fis-1254	12	29	the	the	DET
fis-1254	12	30	number	number	NOUN
fis-1254	12	31	of	of	ADP
fis-1254	12	32	unknowns	unknown	NOUN
fis-1254	12	33	is	be	AUX
fis-1254	12	34	typically	typically	ADV
fis-1254	12	35	large	large	ADJ
fis-1254	12	36	and	and	CCONJ
fis-1254	12	37	depends	depend	VERB
fis-1254	12	38	on	on	ADP
fis-1254	12	39	the	the	DET
fis-1254	12	40	number	number	NOUN
fis-1254	12	41	of	of	ADP
fis-1254	12	42	layers	layer	NOUN
fis-1254	12	43	/	/	SYM
fis-1254	12	44	interfaces	interface	NOUN
fis-1254	12	45	and	and	CCONJ
fis-1254	12	46	on	on	ADP
fis-1254	12	47	the	the	DET
fis-1254	12	48	layer	layer	NOUN
fis-1254	12	49	kinematic	kinematic	ADJ
fis-1254	12	50	fields	field	NOUN
fis-1254	12	51	.	.	PUNCT
fis-1254	13	1	this	this	PRON
fis-1254	13	2	limits	limit	VERB
fis-1254	13	3	the	the	DET
fis-1254	13	4	range	range	NOUN
fis-1254	13	5	of	of	ADP
fis-1254	13	6	problems	problem	NOUN
fis-1254	13	7	which	which	PRON
fis-1254	13	8	can	can	AUX
fis-1254	13	9	be	be	AUX
fis-1254	13	10	solved	solve	VERB
fis-1254	13	11	analytically	analytically	ADV
fis-1254	13	12	and	and	CCONJ
fis-1254	13	13	makes	make	VERB
fis-1254	13	14	computational	computational	ADJ
fis-1254	13	15	solutions	solution	NOUN
fis-1254	13	16	necessary	necessary	ADJ
fis-1254	13	17	for	for	SCONJ
fis-1254	13	18	most	most	ADJ
fis-1254	13	19	cases	case	NOUN
fis-1254	13	20	,	,	PUNCT
fis-1254	13	21	in	in	ADP
fis-1254	13	22	particular	particular	ADJ
fis-1254	13	23	when	when	SCONJ
fis-1254	13	24	the	the	DET
fis-1254	13	25	status	status	NOUN
fis-1254	13	26	of	of	ADP
fis-1254	13	27	the	the	DET
fis-1254	13	28	interfaces	interface	NOUN
fis-1254	13	29	evolves	evolve	VERB
fis-1254	13	30	during	during	ADP
fis-1254	13	31	loading	loading	NOUN
fis-1254	13	32	due	due	ADJ
fis-1254	13	33	to	to	ADP
fis-1254	13	34	delamination	delamination	NOUN
fis-1254	13	35	fracture	fracture	NOUN
fis-1254	13	36	[	[	X
fis-1254	13	37	1	1	NUM
fis-1254	13	38	-	-	SYM
fis-1254	13	39	7	7	NUM
fis-1254	13	40	]	]	PUNCT
fis-1254	13	41	.	.	PUNCT
fis-1254	14	1	zigzag	zigzag	NOUN
fis-1254	14	2	theories	theory	NOUN
fis-1254	14	3	[	[	X
fis-1254	14	4	8	8	NUM
fis-1254	14	5	-	-	SYM
fis-1254	14	6	10	10	NUM
fis-1254	14	7	]	]	PUNCT
fis-1254	14	8	were	be	AUX
fis-1254	14	9	originally	originally	ADV
fis-1254	14	10	proposed	propose	VERB
fis-1254	14	11	for	for	ADP
fis-1254	14	12	multilayered	multilayered	ADJ
fis-1254	14	13	systems	system	NOUN
fis-1254	14	14	with	with	ADP
fis-1254	14	15	perfectly	perfectly	ADV
fis-1254	14	16	bonded	bond	VERB
fis-1254	14	17	interfaces	interface	NOUN
fis-1254	14	18	in	in	ADP
fis-1254	14	19	order	order	NOUN
fis-1254	14	20	to	to	PART
fis-1254	14	21	overcome	overcome	VERB
fis-1254	14	22	the	the	DET
fis-1254	14	23	limitations	limitation	NOUN
fis-1254	14	24	of	of	ADP
fis-1254	14	25	discrete	discrete	ADJ
fis-1254	14	26	-	-	PUNCT
fis-1254	14	27	layer	layer	NOUN
fis-1254	14	28	approaches	approach	NOUN
fis-1254	14	29	and	and	CCONJ
fis-1254	14	30	satisfy	satisfy	VERB
fis-1254	14	31	continuity	continuity	NOUN
fis-1254	14	32	of	of	ADP
fis-1254	14	33	transverse	transverse	NOUN
fis-1254	14	34	and	and	CCONJ
fis-1254	14	35	normal	normal	ADJ
fis-1254	14	36	stresses	stress	NOUN
fis-1254	14	37	at	at	ADP
fis-1254	14	38	the	the	DET
fis-1254	14	39	s	s	X
fis-1254	14	40	r	r	NOUN
fis-1254	14	41	massabò	massabò	PROPN
fis-1254	14	42	,	,	PUNCT
fis-1254	14	43	frattura	frattura	PROPN
fis-1254	14	44	ed	ed	PROPN
fis-1254	14	45	integrità	integrità	PROPN
fis-1254	14	46	strutturale	strutturale	PROPN
fis-1254	14	47	,	,	PUNCT
fis-1254	14	48	29	29	NUM
fis-1254	14	49	(	(	PUNCT
fis-1254	14	50	2014	2014	NUM
fis-1254	14	51	)	)	PUNCT
fis-1254	14	52	230	230	NUM
fis-1254	14	53	-	-	SYM
fis-1254	14	54	240	240	NUM
fis-1254	14	55	;	;	PUNCT
fis-1254	14	56	doi	doi	NOUN
fis-1254	14	57	:	:	PUNCT
fis-1254	14	58	10.3221	10.3221	NUM
fis-1254	14	59	/	/	SYM
fis-1254	14	60	igf	igf	PROPN
fis-1254	14	61	-	-	ADJ
fis-1254	14	62	esis.29.20	esis.29.20	ADJ
fis-1254	14	63	231	231	NUM
fis-1254	14	64	interfaces	interface	NOUN
fis-1254	14	65	.	.	PUNCT
fis-1254	15	1	the	the	DET
fis-1254	15	2	theories	theory	NOUN
fis-1254	15	3	,	,	PUNCT
fis-1254	15	4	through	through	ADP
fis-1254	15	5	the	the	DET
fis-1254	15	6	imposition	imposition	NOUN
fis-1254	15	7	of	of	ADP
fis-1254	15	8	interfacial	interfacial	ADJ
fis-1254	15	9	continuity	continuity	NOUN
fis-1254	15	10	conditions	condition	NOUN
fis-1254	15	11	,	,	PUNCT
fis-1254	15	12	define	define	VERB
fis-1254	15	13	a	a	DET
fis-1254	15	14	homogenized	homogenized	ADJ
fis-1254	15	15	displacement	displacement	ADJ
fis-1254	15	16	field	field	NOUN
fis-1254	15	17	which	which	PRON
fis-1254	15	18	depends	depend	VERB
fis-1254	15	19	on	on	ADP
fis-1254	15	20	a	a	DET
fis-1254	15	21	limited	limited	ADJ
fis-1254	15	22	number	number	NOUN
fis-1254	15	23	of	of	ADP
fis-1254	15	24	unknowns	unknown	NOUN
fis-1254	15	25	and	and	CCONJ
fis-1254	15	26	is	be	AUX
fis-1254	15	27	able	able	ADJ
fis-1254	15	28	to	to	PART
fis-1254	15	29	reproduce	reproduce	VERB
fis-1254	15	30	through	through	ADP
fis-1254	15	31	-	-	PUNCT
fis-1254	15	32	thickness	thickness	NOUN
fis-1254	15	33	zigzag	zigzag	NOUN
fis-1254	15	34	patterns	pattern	NOUN
fis-1254	15	35	due	due	ADP
fis-1254	15	36	to	to	ADP
fis-1254	15	37	the	the	DET
fis-1254	15	38	material	material	ADJ
fis-1254	15	39	inhomogeneities	inhomogeneity	NOUN
fis-1254	15	40	.	.	PUNCT
fis-1254	16	1	later	later	ADV
fis-1254	16	2	,	,	PUNCT
fis-1254	16	3	the	the	DET
fis-1254	16	4	zigzag	zigzag	NOUN
fis-1254	16	5	theories	theory	NOUN
fis-1254	16	6	were	be	AUX
fis-1254	16	7	extended	extend	VERB
fis-1254	16	8	to	to	PART
fis-1254	16	9	describe	describe	VERB
fis-1254	16	10	plates	plate	NOUN
fis-1254	16	11	and	and	CCONJ
fis-1254	16	12	shells	shell	NOUN
fis-1254	16	13	with	with	ADP
fis-1254	16	14	imperfectly	imperfectly	ADV
fis-1254	16	15	bonded	bond	VERB
fis-1254	16	16	,	,	PUNCT
fis-1254	16	17	purely	purely	ADV
fis-1254	16	18	elastic	elastic	ADJ
fis-1254	16	19	interfaces	interface	NOUN
fis-1254	16	20	in	in	ADP
fis-1254	16	21	[	[	PUNCT
fis-1254	16	22	11	11	NUM
fis-1254	16	23	-	-	SYM
fis-1254	16	24	14	14	NUM
fis-1254	16	25	]	]	PUNCT
fis-1254	16	26	.	.	PUNCT
fis-1254	17	1	the	the	DET
fis-1254	17	2	extended	extended	ADJ
fis-1254	17	3	theories	theory	NOUN
fis-1254	17	4	however	however	ADV
fis-1254	17	5	manifest	manifest	VERB
fis-1254	17	6	a	a	DET
fis-1254	17	7	number	number	NOUN
fis-1254	17	8	of	of	ADP
fis-1254	17	9	inconsistencies	inconsistency	NOUN
fis-1254	17	10	:	:	PUNCT
fis-1254	17	11	(	(	PUNCT
fis-1254	17	12	i	i	NOUN
fis-1254	17	13	)	)	PUNCT
fis-1254	17	14	they	they	PRON
fis-1254	17	15	are	be	AUX
fis-1254	17	16	unable	unable	ADJ
fis-1254	17	17	to	to	PART
fis-1254	17	18	reproduce	reproduce	VERB
fis-1254	17	19	the	the	DET
fis-1254	17	20	expected	expect	VERB
fis-1254	17	21	transitions	transition	NOUN
fis-1254	17	22	in	in	ADP
fis-1254	17	23	the	the	DET
fis-1254	17	24	internal	internal	ADJ
fis-1254	17	25	gross	gross	ADJ
fis-1254	17	26	stress	stress	NOUN
fis-1254	17	27	resultants	resultant	NOUN
fis-1254	17	28	on	on	ADP
fis-1254	17	29	varying	vary	VERB
fis-1254	17	30	the	the	DET
fis-1254	17	31	stiffness	stiffness	NOUN
fis-1254	17	32	of	of	ADP
fis-1254	17	33	the	the	DET
fis-1254	17	34	imperfect	imperfect	ADJ
fis-1254	17	35	interfaces	interface	NOUN
fis-1254	17	36	(	(	PUNCT
fis-1254	17	37	first	first	ADV
fis-1254	17	38	noted	note	VERB
fis-1254	17	39	in	in	ADP
fis-1254	17	40	[	[	X
fis-1254	17	41	11,15,16	11,15,16	NUM
fis-1254	17	42	]	]	PUNCT
fis-1254	17	43	)	)	PUNCT
fis-1254	17	44	;	;	PUNCT
fis-1254	17	45	(	(	PUNCT
fis-1254	17	46	ii	ii	NOUN
fis-1254	17	47	)	)	PUNCT
fis-1254	17	48	they	they	PRON
fis-1254	17	49	give	give	VERB
fis-1254	17	50	rise	rise	NOUN
fis-1254	17	51	to	to	ADP
fis-1254	17	52	unrealistic	unrealistic	ADJ
fis-1254	17	53	effects	effect	NOUN
fis-1254	17	54	in	in	ADP
fis-1254	17	55	the	the	DET
fis-1254	17	56	transverse	transverse	NOUN
fis-1254	17	57	displacements	displacement	NOUN
fis-1254	17	58	,	,	PUNCT
fis-1254	17	59	which	which	PRON
fis-1254	17	60	are	be	AUX
fis-1254	17	61	larger	large	ADJ
fis-1254	17	62	than	than	ADP
fis-1254	17	63	those	those	PRON
fis-1254	17	64	of	of	ADP
fis-1254	17	65	fully	fully	ADV
fis-1254	17	66	debonded	debonde	VERB
fis-1254	17	67	plates	plate	NOUN
fis-1254	17	68	in	in	ADP
fis-1254	17	69	partially	partially	ADV
fis-1254	17	70	bonded	bond	VERB
fis-1254	17	71	plates	plate	NOUN
fis-1254	17	72	(	(	PUNCT
fis-1254	17	73	this	this	DET
fis-1254	17	74	effect	effect	NOUN
fis-1254	17	75	was	be	AUX
fis-1254	17	76	defined	define	VERB
fis-1254	17	77	shear	shear	NOUN
fis-1254	17	78	-	-	PUNCT
fis-1254	17	79	locking	locking	NOUN
fis-1254	17	80	in	in	ADP
fis-1254	17	81	[	[	X
fis-1254	17	82	15	15	NUM
fis-1254	17	83	]	]	PUNCT
fis-1254	17	84	)	)	PUNCT
fis-1254	17	85	;	;	PUNCT
fis-1254	17	86	(	(	PUNCT
fis-1254	17	87	iii	iii	X
fis-1254	17	88	)	)	PUNCT
fis-1254	17	89	they	they	PRON
fis-1254	17	90	show	show	VERB
fis-1254	17	91	some	some	DET
fis-1254	17	92	inconsistencies	inconsistency	NOUN
fis-1254	17	93	in	in	ADP
fis-1254	17	94	plates	plate	NOUN
fis-1254	17	95	with	with	ADP
fis-1254	17	96	clamped	clamp	VERB
fis-1254	17	97	edges	edge	NOUN
fis-1254	17	98	(	(	PUNCT
fis-1254	17	99	noted	note	VERB
fis-1254	17	100	in	in	ADP
fis-1254	17	101	[	[	X
fis-1254	17	102	17	17	NUM
fis-1254	17	103	]	]	NUM
fis-1254	17	104	)	)	PUNCT
fis-1254	17	105	.	.	PUNCT
fis-1254	18	1	recently	recently	ADV
fis-1254	18	2	the	the	DET
fis-1254	18	3	author	author	NOUN
fis-1254	18	4	formulated	formulate	VERB
fis-1254	18	5	in	in	ADP
fis-1254	18	6	[	[	X
fis-1254	18	7	18,19	18,19	X
fis-1254	18	8	]	]	X
fis-1254	18	9	a	a	DET
fis-1254	18	10	theory	theory	NOUN
fis-1254	18	11	which	which	PRON
fis-1254	18	12	,	,	PUNCT
fis-1254	18	13	starting	start	VERB
fis-1254	18	14	from	from	ADP
fis-1254	18	15	those	those	PRON
fis-1254	18	16	in	in	ADP
fis-1254	18	17	[	[	PUNCT
fis-1254	18	18	11	11	NUM
fis-1254	18	19	-	-	SYM
fis-1254	18	20	14	14	NUM
fis-1254	18	21	]	]	PUNCT
fis-1254	18	22	,	,	PUNCT
fis-1254	18	23	extends	extend	VERB
fis-1254	18	24	the	the	DET
fis-1254	18	25	formulation	formulation	NOUN
fis-1254	18	26	to	to	ADP
fis-1254	18	27	plates	plate	NOUN
fis-1254	18	28	and	and	CCONJ
fis-1254	18	29	beams	beam	NOUN
fis-1254	18	30	with	with	ADP
fis-1254	18	31	interfaces	interface	NOUN
fis-1254	18	32	characterized	characterize	VERB
fis-1254	18	33	by	by	ADP
fis-1254	18	34	affine	affine	NOUN
fis-1254	18	35	interfacial	interfacial	ADJ
fis-1254	18	36	traction	traction	NOUN
fis-1254	18	37	laws	law	NOUN
fis-1254	18	38	(	(	PUNCT
fis-1254	18	39	to	to	PART
fis-1254	18	40	describe	describe	VERB
fis-1254	18	41	piecewise	piecewise	NOUN
fis-1254	18	42	linear	linear	PROPN
fis-1254	18	43	cohesive	cohesive	ADJ
fis-1254	18	44	functions	function	NOUN
fis-1254	18	45	)	)	PUNCT
fis-1254	18	46	and	and	CCONJ
fis-1254	18	47	accounts	account	VERB
fis-1254	18	48	for	for	ADP
fis-1254	18	49	the	the	DET
fis-1254	18	50	energy	energy	NOUN
fis-1254	18	51	contribution	contribution	NOUN
fis-1254	18	52	of	of	ADP
fis-1254	18	53	the	the	DET
fis-1254	18	54	imperfect	imperfect	ADJ
fis-1254	18	55	interfaces	interface	NOUN
fis-1254	18	56	in	in	ADP
fis-1254	18	57	the	the	DET
fis-1254	18	58	derivation	derivation	NOUN
fis-1254	18	59	of	of	ADP
fis-1254	18	60	the	the	DET
fis-1254	18	61	equilibrium	equilibrium	NOUN
fis-1254	18	62	equations	equation	NOUN
fis-1254	18	63	.	.	PUNCT
fis-1254	19	1	this	this	DET
fis-1254	19	2	contribution	contribution	NOUN
fis-1254	19	3	was	be	AUX
fis-1254	19	4	erroneously	erroneously	ADV
fis-1254	19	5	omitted	omit	VERB
fis-1254	19	6	in	in	ADP
fis-1254	19	7	the	the	DET
fis-1254	19	8	original	original	ADJ
fis-1254	19	9	theories	theory	NOUN
fis-1254	19	10	and	and	CCONJ
fis-1254	19	11	in	in	ADP
fis-1254	19	12	all	all	DET
fis-1254	19	13	theories	theory	NOUN
fis-1254	19	14	derived	derive	VERB
fis-1254	19	15	later	later	ADV
fis-1254	19	16	from	from	ADP
fis-1254	19	17	the	the	DET
fis-1254	19	18	original	original	ADJ
fis-1254	19	19	models	model	NOUN
fis-1254	19	20	(	(	PUNCT
fis-1254	19	21	see	see	VERB
fis-1254	19	22	[	[	X
fis-1254	19	23	18	18	NUM
fis-1254	19	24	]	]	PUNCT
fis-1254	19	25	for	for	ADP
fis-1254	19	26	a	a	DET
fis-1254	19	27	list	list	NOUN
fis-1254	19	28	)	)	PUNCT
fis-1254	19	29	.	.	PUNCT
fis-1254	20	1	corrected	correct	VERB
fis-1254	20	2	formulations	formulation	NOUN
fis-1254	20	3	of	of	ADP
fis-1254	20	4	the	the	DET
fis-1254	20	5	models	model	NOUN
fis-1254	20	6	[	[	X
fis-1254	20	7	11	11	NUM
fis-1254	20	8	-	-	SYM
fis-1254	20	9	14	14	NUM
fis-1254	20	10	]	]	PUNCT
fis-1254	20	11	are	be	AUX
fis-1254	20	12	presented	present	VERB
fis-1254	20	13	in	in	ADP
fis-1254	20	14	the	the	DET
fis-1254	20	15	appendices	appendix	NOUN
fis-1254	20	16	in	in	ADP
fis-1254	20	17	[	[	X
fis-1254	20	18	18	18	NUM
fis-1254	20	19	]	]	PUNCT
fis-1254	20	20	.	.	PUNCT
fis-1254	21	1	the	the	DET
fis-1254	21	2	accuracy	accuracy	NOUN
fis-1254	21	3	of	of	ADP
fis-1254	21	4	the	the	DET
fis-1254	21	5	theory	theory	NOUN
fis-1254	21	6	proposed	propose	VERB
fis-1254	21	7	in	in	ADP
fis-1254	21	8	[	[	X
fis-1254	21	9	18,19	18,19	X
fis-1254	21	10	]	]	PUNCT
fis-1254	21	11	has	have	AUX
fis-1254	21	12	been	be	AUX
fis-1254	21	13	verified	verify	VERB
fis-1254	21	14	against	against	ADP
fis-1254	21	15	exact	exact	ADJ
fis-1254	21	16	2d	2d	NUM
fis-1254	21	17	elasticity	elasticity	NOUN
fis-1254	21	18	solutions	solution	NOUN
fis-1254	21	19	in	in	ADP
fis-1254	21	20	highly	highly	ADV
fis-1254	21	21	anisotropic	anisotropic	NOUN
fis-1254	21	22	,	,	PUNCT
fis-1254	21	23	simply	simply	ADV
fis-1254	21	24	supported	support	VERB
fis-1254	21	25	,	,	PUNCT
fis-1254	21	26	multilayered	multilayered	ADJ
fis-1254	21	27	plates	plate	NOUN
fis-1254	21	28	,	,	PUNCT
fis-1254	21	29	with	with	ADP
fis-1254	21	30	continuous	continuous	ADJ
fis-1254	21	31	sliding	slide	VERB
fis-1254	21	32	interfaces	interface	NOUN
fis-1254	21	33	and	and	CCONJ
fis-1254	21	34	deforming	deform	VERB
fis-1254	21	35	in	in	ADP
fis-1254	21	36	cylindrical	cylindrical	ADJ
fis-1254	21	37	bending	bending	NOUN
fis-1254	21	38	.	.	PUNCT
fis-1254	22	1	the	the	DET
fis-1254	22	2	model	model	NOUN
fis-1254	22	3	accurately	accurately	ADV
fis-1254	22	4	describes	describe	VERB
fis-1254	22	5	stress	stress	NOUN
fis-1254	22	6	and	and	CCONJ
fis-1254	22	7	displacement	displacement	ADJ
fis-1254	22	8	fields	field	NOUN
fis-1254	22	9	in	in	ADP
fis-1254	22	10	plates	plate	NOUN
fis-1254	22	11	with	with	ADP
fis-1254	22	12	different	different	ADJ
fis-1254	22	13	numbers	number	NOUN
fis-1254	22	14	of	of	ADP
fis-1254	22	15	interfaces	interface	NOUN
fis-1254	22	16	,	,	PUNCT
fis-1254	22	17	equally	equally	ADV
fis-1254	22	18	and	and	CCONJ
fis-1254	22	19	unequally	unequally	ADV
fis-1254	22	20	spaced	space	VERB
fis-1254	22	21	in	in	ADP
fis-1254	22	22	the	the	DET
fis-1254	22	23	thickness	thickness	NOUN
fis-1254	22	24	,	,	PUNCT
fis-1254	22	25	over	over	ADP
fis-1254	22	26	the	the	DET
fis-1254	22	27	whole	whole	ADJ
fis-1254	22	28	range	range	NOUN
fis-1254	22	29	of	of	ADP
fis-1254	22	30	interfacial	interfacial	ADJ
fis-1254	22	31	stiffnesses	stiffness	NOUN
fis-1254	22	32	,	,	PUNCT
fis-1254	22	33	from	from	ADP
fis-1254	22	34	fully	fully	ADV
fis-1254	22	35	bonded	bond	VERB
fis-1254	22	36	to	to	PART
fis-1254	22	37	fully	fully	ADV
fis-1254	22	38	debonded	debonde	VERB
fis-1254	22	39	.	.	PUNCT
fis-1254	23	1	a	a	DET
fis-1254	23	2	limitation	limitation	NOUN
fis-1254	23	3	of	of	ADP
fis-1254	23	4	the	the	DET
fis-1254	23	5	theory	theory	NOUN
fis-1254	23	6	has	have	AUX
fis-1254	23	7	been	be	AUX
fis-1254	23	8	observed	observe	VERB
fis-1254	23	9	when	when	SCONJ
fis-1254	23	10	dealing	deal	VERB
fis-1254	23	11	with	with	ADP
fis-1254	23	12	very	very	ADV
fis-1254	23	13	thick	thick	ADJ
fis-1254	23	14	,	,	PUNCT
fis-1254	23	15	highly	highly	ADV
fis-1254	23	16	anisotropic	anisotropic	NOUN
fis-1254	23	17	plates	plate	NOUN
fis-1254	23	18	with	with	ADP
fis-1254	23	19	compliant	compliant	ADJ
fis-1254	23	20	interfaces	interface	NOUN
fis-1254	23	21	,	,	PUNCT
fis-1254	23	22	where	where	SCONJ
fis-1254	23	23	the	the	DET
fis-1254	23	24	shear	shear	NOUN
fis-1254	23	25	deformations	deformation	NOUN
fis-1254	23	26	are	be	AUX
fis-1254	23	27	underestimated	underestimate	VERB
fis-1254	23	28	in	in	ADP
fis-1254	23	29	the	the	DET
fis-1254	23	30	derivation	derivation	NOUN
fis-1254	23	31	of	of	ADP
fis-1254	23	32	the	the	DET
fis-1254	23	33	transverse	transverse	NOUN
fis-1254	23	34	displacements	displacement	NOUN
fis-1254	23	35	as	as	ADP
fis-1254	23	36	a	a	DET
fis-1254	23	37	consequence	consequence	NOUN
fis-1254	23	38	of	of	ADP
fis-1254	23	39	the	the	DET
fis-1254	23	40	assumed	assumed	ADJ
fis-1254	23	41	continuity	continuity	NOUN
fis-1254	23	42	between	between	ADP
fis-1254	23	43	interfacial	interfacial	ADJ
fis-1254	23	44	tractions	traction	NOUN
fis-1254	23	45	and	and	CCONJ
fis-1254	23	46	shear	shear	NOUN
fis-1254	23	47	stresses	stress	NOUN
fis-1254	23	48	.	.	PUNCT
fis-1254	24	1	it	it	PRON
fis-1254	24	2	is	be	AUX
fis-1254	24	3	expected	expect	VERB
fis-1254	24	4	that	that	SCONJ
fis-1254	24	5	this	this	DET
fis-1254	24	6	problem	problem	NOUN
fis-1254	24	7	could	could	AUX
fis-1254	24	8	be	be	AUX
fis-1254	24	9	solved	solve	VERB
fis-1254	24	10	using	use	VERB
fis-1254	24	11	a	a	DET
fis-1254	24	12	shear	shear	NOUN
fis-1254	24	13	correction	correction	NOUN
fis-1254	24	14	factor	factor	NOUN
fis-1254	24	15	which	which	PRON
fis-1254	24	16	depends	depend	VERB
fis-1254	24	17	on	on	ADP
fis-1254	24	18	the	the	DET
fis-1254	24	19	interfacial	interfacial	ADJ
fis-1254	24	20	properties	property	NOUN
fis-1254	24	21	(	(	PUNCT
fis-1254	24	22	work	work	NOUN
fis-1254	24	23	in	in	ADP
fis-1254	24	24	progress	progress	NOUN
fis-1254	24	25	)	)	PUNCT
fis-1254	24	26	.	.	PUNCT
fis-1254	25	1	in	in	ADP
fis-1254	25	2	this	this	DET
fis-1254	25	3	paper	paper	NOUN
fis-1254	25	4	,	,	PUNCT
fis-1254	25	5	the	the	DET
fis-1254	25	6	issues	issue	NOUN
fis-1254	25	7	noted	note	VERB
fis-1254	25	8	in	in	ADP
fis-1254	25	9	[	[	X
fis-1254	25	10	17	17	NUM
fis-1254	25	11	]	]	PUNCT
fis-1254	25	12	in	in	ADP
fis-1254	25	13	beams	beam	NOUN
fis-1254	25	14	with	with	ADP
fis-1254	25	15	clamped	clamp	VERB
fis-1254	25	16	ends	end	NOUN
fis-1254	25	17	,	,	PUNCT
fis-1254	25	18	where	where	SCONJ
fis-1254	25	19	the	the	DET
fis-1254	25	20	zigzag	zigzag	NOUN
fis-1254	25	21	theory	theory	NOUN
fis-1254	25	22	proposed	propose	VERB
fis-1254	25	23	in	in	ADP
fis-1254	25	24	[	[	X
fis-1254	25	25	9,10	9,10	X
fis-1254	25	26	]	]	X
fis-1254	25	27	for	for	ADP
fis-1254	25	28	fully	fully	ADV
fis-1254	25	29	bonded	bond	VERB
fis-1254	25	30	systems	system	NOUN
fis-1254	25	31	shows	show	VERB
fis-1254	25	32	some	some	DET
fis-1254	25	33	apparent	apparent	ADJ
fis-1254	25	34	inconsistencies	inconsistency	NOUN
fis-1254	25	35	in	in	ADP
fis-1254	25	36	the	the	DET
fis-1254	25	37	transverse	transverse	ADJ
fis-1254	25	38	shear	shear	NOUN
fis-1254	25	39	force	force	NOUN
fis-1254	25	40	,	,	PUNCT
fis-1254	25	41	are	be	AUX
fis-1254	25	42	discussed	discuss	VERB
fis-1254	25	43	;	;	PUNCT
fis-1254	25	44	and	and	CCONJ
fis-1254	25	45	the	the	DET
fis-1254	25	46	equilibrium	equilibrium	NOUN
fis-1254	25	47	equations	equation	NOUN
fis-1254	25	48	derived	derive	VERB
fis-1254	25	49	in	in	ADP
fis-1254	25	50	[	[	X
fis-1254	25	51	19	19	NUM
fis-1254	25	52	]	]	PUNCT
fis-1254	25	53	for	for	ADP
fis-1254	25	54	plates	plate	NOUN
fis-1254	25	55	in	in	ADP
fis-1254	25	56	cylindrical	cylindrical	ADJ
fis-1254	25	57	bending	bending	NOUN
fis-1254	25	58	are	be	AUX
fis-1254	25	59	restated	restate	VERB
fis-1254	25	60	to	to	PART
fis-1254	25	61	clarify	clarify	VERB
fis-1254	25	62	the	the	DET
fis-1254	25	63	problem	problem	NOUN
fis-1254	25	64	.	.	PUNCT
fis-1254	26	1	the	the	DET
fis-1254	26	2	new	new	ADJ
fis-1254	26	3	formulation	formulation	NOUN
fis-1254	26	4	introduces	introduce	VERB
fis-1254	26	5	a	a	DET
fis-1254	26	6	generalized	generalized	ADJ
fis-1254	26	7	transverse	transverse	NOUN
fis-1254	26	8	shear	shear	NOUN
fis-1254	26	9	force	force	NOUN
fis-1254	26	10	,	,	PUNCT
fis-1254	26	11	which	which	PRON
fis-1254	26	12	is	be	AUX
fis-1254	26	13	the	the	DET
fis-1254	26	14	gross	gross	ADJ
fis-1254	26	15	stress	stress	NOUN
fis-1254	26	16	resultant	resultant	VERB
fis-1254	26	17	directly	directly	ADV
fis-1254	26	18	related	relate	VERB
fis-1254	26	19	to	to	ADP
fis-1254	26	20	the	the	DET
fis-1254	26	21	bending	bend	VERB
fis-1254	26	22	moment	moment	NOUN
fis-1254	26	23	in	in	ADP
fis-1254	26	24	the	the	DET
fis-1254	26	25	equilibrium	equilibrium	NOUN
fis-1254	26	26	equations	equation	NOUN
fis-1254	26	27	of	of	ADP
fis-1254	26	28	multilayered	multilayere	VERB
fis-1254	26	29	plates	plate	NOUN
fis-1254	26	30	with	with	ADP
fis-1254	26	31	imperfect	imperfect	ADJ
fis-1254	26	32	interfaces	interface	NOUN
fis-1254	26	33	and	and	CCONJ
fis-1254	26	34	substitutes	substitute	NOUN
fis-1254	26	35	for	for	ADP
fis-1254	26	36	the	the	DET
fis-1254	26	37	shear	shear	NOUN
fis-1254	26	38	force	force	NOUN
fis-1254	26	39	of	of	ADP
fis-1254	26	40	singlelayer	singlelayer	NOUN
fis-1254	26	41	theory	theory	NOUN
fis-1254	26	42	.	.	PUNCT
fis-1254	27	1	finally	finally	ADV
fis-1254	27	2	,	,	PUNCT
fis-1254	27	3	a	a	DET
fis-1254	27	4	delaminated	delaminate	VERB
fis-1254	27	5	cantilevered	cantilever	VERB
fis-1254	27	6	wide	wide	ADJ
fis-1254	27	7	plate	plate	NOUN
fis-1254	27	8	with	with	ADP
fis-1254	27	9	a	a	DET
fis-1254	27	10	clamped	clamp	VERB
fis-1254	27	11	edge	edge	NOUN
fis-1254	27	12	is	be	AUX
fis-1254	27	13	studied	study	VERB
fis-1254	27	14	as	as	ADP
fis-1254	27	15	a	a	DET
fis-1254	27	16	preliminary	preliminary	ADJ
fis-1254	27	17	investigation	investigation	NOUN
fis-1254	27	18	of	of	ADP
fis-1254	27	19	the	the	DET
fis-1254	27	20	applicability	applicability	NOUN
fis-1254	27	21	of	of	ADP
fis-1254	27	22	the	the	DET
fis-1254	27	23	model	model	NOUN
fis-1254	27	24	to	to	ADP
fis-1254	27	25	fracture	fracture	VERB
fis-1254	27	26	mechanics	mechanic	NOUN
fis-1254	27	27	problems	problem	NOUN
fis-1254	27	28	.	.	PUNCT
fis-1254	28	1	model	model	PROPN
fis-1254	28	2	onsider	onsider	PROPN
fis-1254	28	3	a	a	DET
fis-1254	28	4	rectangular	rectangular	ADJ
fis-1254	28	5	multilayered	multilayere	VERB
fis-1254	28	6	plate	plate	NOUN
fis-1254	28	7	of	of	ADP
fis-1254	28	8	thickness	thickness	NOUN
fis-1254	28	9	h	h	NOUN
fis-1254	28	10	and	and	CCONJ
fis-1254	28	11	in	in	ADP
fis-1254	28	12	-	-	PUNCT
fis-1254	28	13	plane	plane	NOUN
fis-1254	28	14	dimensions	dimension	NOUN
fis-1254	28	15	1l	1l	NUM
fis-1254	28	16	and	and	CCONJ
fis-1254	28	17	2	2	NUM
fis-1254	28	18	l	l	PROPN
fis-1254	28	19	l	l	NOUN
fis-1254	28	20	,	,	PUNCT
fis-1254	28	21	with	with	ADP
fis-1254	28	22	1	1	NUM
fis-1254	28	23	2l	2l	PROPN
fis-1254	28	24	l	l	NOUN
fis-1254	28	25	.	.	PUNCT
fis-1254	29	1	a	a	DET
fis-1254	29	2	system	system	NOUN
fis-1254	29	3	of	of	ADP
fis-1254	29	4	cartesian	cartesian	ADJ
fis-1254	29	5	coordinates	coordinate	NOUN
fis-1254	29	6	,	,	PUNCT
fis-1254	29	7	1	1	NUM
fis-1254	29	8	2	2	NUM
fis-1254	29	9	3	3	NUM
fis-1254	29	10	x	x	NOUN
fis-1254	29	11	x	x	X
fis-1254	29	12	x	x	X
fis-1254	29	13	,	,	PUNCT
fis-1254	29	14	is	be	AUX
fis-1254	29	15	introduced	introduce	VERB
fis-1254	29	16	with	with	ADP
fis-1254	29	17	the	the	DET
fis-1254	29	18	axis	axis	NOUN
fis-1254	29	19	3x	3x	PRON
fis-1254	29	20	normal	normal	ADJ
fis-1254	29	21	to	to	ADP
fis-1254	29	22	the	the	DET
fis-1254	29	23	reference	reference	NOUN
fis-1254	29	24	surface	surface	NOUN
fis-1254	29	25	of	of	ADP
fis-1254	29	26	the	the	DET
fis-1254	29	27	plate	plate	NOUN
fis-1254	29	28	,	,	PUNCT
fis-1254	29	29	which	which	PRON
fis-1254	29	30	is	be	AUX
fis-1254	29	31	arbitrarily	arbitrarily	ADV
fis-1254	29	32	chosen	choose	VERB
fis-1254	29	33	,	,	PUNCT
fis-1254	29	34	and	and	CCONJ
fis-1254	29	35	measured	measure	VERB
fis-1254	29	36	from	from	ADP
fis-1254	29	37	it	it	PRON
fis-1254	29	38	(	(	PUNCT
fis-1254	29	39	fig	fig	NOUN
fis-1254	29	40	.	.	PUNCT
fis-1254	30	1	1	1	NUM
fis-1254	30	2	)	)	PUNCT
fis-1254	30	3	.	.	PUNCT
fis-1254	31	1	the	the	DET
fis-1254	31	2	plate	plate	NOUN
fis-1254	31	3	consists	consist	VERB
fis-1254	31	4	of	of	ADP
fis-1254	31	5	n	n	DET
fis-1254	31	6	layers	layer	NOUN
fis-1254	31	7	exhibiting	exhibit	VERB
fis-1254	31	8	different	different	ADJ
fis-1254	31	9	mechanical	mechanical	ADJ
fis-1254	31	10	properties	property	NOUN
fis-1254	31	11	and	and	CCONJ
fis-1254	31	12	joined	join	VERB
fis-1254	31	13	by	by	ADP
fis-1254	31	14	1n	1n	PROPN
fis-1254	31	15	interfaces	interface	NOUN
fis-1254	31	16	,	,	PUNCT
fis-1254	31	17	which	which	PRON
fis-1254	31	18	are	be	AUX
fis-1254	31	19	described	describe	VERB
fis-1254	31	20	as	as	ADP
fis-1254	31	21	mathematical	mathematical	ADJ
fis-1254	31	22	surfaces	surface	NOUN
fis-1254	31	23	where	where	SCONJ
fis-1254	31	24	the	the	DET
fis-1254	31	25	material	material	NOUN
fis-1254	31	26	properties	property	NOUN
fis-1254	31	27	and	and	CCONJ
fis-1254	31	28	the	the	DET
fis-1254	31	29	displacements	displacement	NOUN
fis-1254	31	30	may	may	AUX
fis-1254	31	31	change	change	VERB
fis-1254	31	32	discontinuously	discontinuously	ADV
fis-1254	31	33	while	while	SCONJ
fis-1254	31	34	the	the	DET
fis-1254	31	35	interfacial	interfacial	ADJ
fis-1254	31	36	tractions	traction	NOUN
fis-1254	31	37	are	be	AUX
fis-1254	31	38	continuous	continuous	ADJ
fis-1254	31	39	.	.	PUNCT
fis-1254	32	1	the	the	DET
fis-1254	32	2	layer	layer	NOUN
fis-1254	32	3	k	k	NOUN
fis-1254	32	4	,	,	PUNCT
fis-1254	32	5	where	where	SCONJ
fis-1254	32	6	the	the	DET
fis-1254	32	7	index	index	NOUN
fis-1254	32	8	1	1	NUM
fis-1254	32	9	,	,	PUNCT
fis-1254	32	10	..	..	PUNCT
fis-1254	32	11	,	,	PUNCT
fis-1254	32	12	k	k	PROPN
fis-1254	32	13	n	n	PROPN
fis-1254	32	14	is	be	AUX
fis-1254	32	15	numbered	number	VERB
fis-1254	32	16	from	from	ADP
fis-1254	32	17	bottom	bottom	NOUN
fis-1254	32	18	to	to	ADP
fis-1254	32	19	top	top	NOUN
fis-1254	32	20	,	,	PUNCT
fis-1254	32	21	is	be	AUX
fis-1254	32	22	defined	define	VERB
fis-1254	32	23	by	by	ADP
fis-1254	32	24	the	the	DET
fis-1254	32	25	coordinates	coordinate	NOUN
fis-1254	32	26	1	1	NUM
fis-1254	32	27	3	3	NUM
fis-1254	32	28	kx	kx	PUNCT
fis-1254	32	29	and	and	CCONJ
fis-1254	32	30	3	3	NUM
fis-1254	32	31	kx	kx	NOUN
fis-1254	32	32	of	of	ADP
fis-1254	32	33	its	its	PRON
fis-1254	32	34	lower	low	ADJ
fis-1254	32	35	and	and	CCONJ
fis-1254	32	36	upper	upper	ADJ
fis-1254	32	37	interfaces	interface	NOUN
fis-1254	32	38	,	,	PUNCT
fis-1254	32	39	s		NOUN
fis-1254	32	40	(	(	PUNCT
fis-1254	32	41	)	)	PUNCT
fis-1254	32	42	k	k	PROPN
fis-1254	32	43	and	and	CCONJ
fis-1254	32	44	s	s	PROPN
fis-1254	32	45	(	(	PUNCT
fis-1254	32	46	)	)	PUNCT
fis-1254	32	47	k	k	NOUN
fis-1254	32	48	,	,	PUNCT
fis-1254	32	49	and	and	CCONJ
fis-1254	32	50	has	have	VERB
fis-1254	32	51	thickness	thickness	NOUN
fis-1254	32	52	(	(	PUNCT
fis-1254	32	53	)	)	PUNCT
fis-1254	32	54	k	k	PROPN
fis-1254	32	55	h	h	PROPN
fis-1254	32	56	,	,	PUNCT
fis-1254	32	57	fig	fig	NOUN
fis-1254	32	58	.	.	NOUN
fis-1254	33	1	1	1	NUM
fis-1254	34	1	(	(	PUNCT
fis-1254	34	2	the	the	DET
fis-1254	34	3	k	k	PROPN
fis-1254	34	4	superscript	superscript	PROPN
fis-1254	34	5	in	in	ADP
fis-1254	34	6	brackets	bracket	NOUN
fis-1254	34	7	identifies	identify	VERB
fis-1254	34	8	affiliation	affiliation	NOUN
fis-1254	34	9	with	with	ADP
fis-1254	34	10	layer	layer	NOUN
fis-1254	34	11	k	k	NOUN
fis-1254	34	12	)	)	PUNCT
fis-1254	34	13	.	.	PUNCT
fis-1254	35	1	each	each	DET
fis-1254	35	2	layer	layer	NOUN
fis-1254	35	3	is	be	AUX
fis-1254	35	4	linearly	linearly	ADV
fis-1254	35	5	elastic	elastic	ADJ
fis-1254	35	6	,	,	PUNCT
fis-1254	35	7	homogeneous	homogeneous	ADJ
fis-1254	35	8	and	and	CCONJ
fis-1254	35	9	orthotropic	orthotropic	ADJ
fis-1254	35	10	with	with	ADP
fis-1254	35	11	material	material	NOUN
fis-1254	35	12	axes	axis	NOUN
fis-1254	35	13	parallel	parallel	ADJ
fis-1254	35	14	to	to	ADP
fis-1254	35	15	the	the	DET
fis-1254	35	16	geometrical	geometrical	ADJ
fis-1254	35	17	axes	axis	NOUN
fis-1254	35	18	.	.	PUNCT
fis-1254	36	1	the	the	DET
fis-1254	36	2	displacement	displacement	ADJ
fis-1254	36	3	vector	vector	NOUN
fis-1254	36	4	of	of	ADP
fis-1254	36	5	an	an	DET
fis-1254	36	6	arbitrary	arbitrary	ADJ
fis-1254	36	7	point	point	NOUN
fis-1254	36	8	of	of	ADP
fis-1254	36	9	the	the	DET
fis-1254	36	10	plate	plate	NOUN
fis-1254	36	11	at	at	ADP
fis-1254	36	12	the	the	DET
fis-1254	36	13	coordinate	coordinate	NOUN
fis-1254	36	14			PROPN
fis-1254	36	15	1	1	PROPN
fis-1254	36	16	2	2	NUM
fis-1254	36	17	3x	3x	NOUN
fis-1254	36	18	,	,	PUNCT
fis-1254	36	19	,	,	PUNCT
fis-1254	36	20	t	t	PROPN
fis-1254	36	21	x	x	X
fis-1254	36	22	x	x	PUNCT
fis-1254	36	23	x	x	X
fis-1254	36	24	is	be	AUX
fis-1254	36	25			NOUN
fis-1254	36	26	1	1	NOUN
fis-1254	36	27	2	2	NUM
fis-1254	36	28	3	3	NUM
fis-1254	36	29	v	v	NOUN
fis-1254	36	30	,	,	PUNCT
fis-1254	36	31	,	,	PUNCT
fis-1254	36	32	t	t	PROPN
fis-1254	36	33	v	v	NUM
fis-1254	36	34	v	v	PROPN
fis-1254	36	35	v	v	NOUN
fis-1254	36	36	w	w	NOUN
fis-1254	36	37	.	.	PUNCT
fis-1254	37	1	the	the	DET
fis-1254	37	2	plate	plate	NOUN
fis-1254	37	3	is	be	AUX
fis-1254	37	4	subjected	subject	VERB
fis-1254	37	5	to	to	ADP
fis-1254	37	6	distributed	distribute	VERB
fis-1254	37	7	loads	load	NOUN
fis-1254	37	8	acting	act	VERB
fis-1254	37	9	on	on	ADP
fis-1254	37	10	the	the	DET
fis-1254	37	11	upper	upper	ADJ
fis-1254	37	12	and	and	CCONJ
fis-1254	37	13	lower	low	ADJ
fis-1254	37	14	surfaces	surface	NOUN
fis-1254	37	15	,	,	PUNCT
fis-1254	37	16	s	s	ADJ
fis-1254	37	17	and	and	CCONJ
fis-1254	37	18	s		NOUN
fis-1254	37	19	,	,	PUNCT
fis-1254	37	20	and	and	CCONJ
fis-1254	37	21	on	on	ADP
fis-1254	37	22	the	the	DET
fis-1254	37	23	lateral	lateral	ADJ
fis-1254	37	24	bounding	bounding	NOUN
fis-1254	37	25	surface	surface	NOUN
fis-1254	37	26	,	,	PUNCT
fis-1254	37	27	b	b	NOUN
fis-1254	37	28	,	,	PUNCT
fis-1254	37	29	is	be	AUX
fis-1254	37	30	in	in	ADP
fis-1254	37	31	plane	plane	NOUN
fis-1254	37	32	strain	strain	NOUN
fis-1254	37	33	conditions	condition	NOUN
fis-1254	37	34	parallel	parallel	ADJ
fis-1254	37	35	to	to	ADP
fis-1254	37	36	the	the	DET
fis-1254	37	37	plane	plane	NOUN
fis-1254	37	38	2	2	NUM
fis-1254	37	39	3x	3x	NUM
fis-1254	37	40	x	x	PUNCT
fis-1254	37	41	and	and	CCONJ
fis-1254	37	42	deforms	deform	VERB
fis-1254	37	43	in	in	ADP
fis-1254	37	44	cylindrical	cylindrical	ADJ
fis-1254	37	45	bending	bending	NOUN
fis-1254	37	46	.	.	PUNCT
fis-1254	38	1	in	in	ADP
fis-1254	38	2	addition	addition	NOUN
fis-1254	38	3	,	,	PUNCT
fis-1254	38	4	the	the	DET
fis-1254	38	5	plate	plate	NOUN
fis-1254	38	6	is	be	AUX
fis-1254	38	7	assumed	assume	VERB
fis-1254	38	8	to	to	PART
fis-1254	38	9	be	be	AUX
fis-1254	38	10	incompressible	incompressible	ADJ
fis-1254	38	11	in	in	ADP
fis-1254	38	12	the	the	DET
fis-1254	38	13	thickness	thickness	NOUN
fis-1254	38	14	direction	direction	NOUN
fis-1254	38	15	and	and	CCONJ
fis-1254	38	16	the	the	DET
fis-1254	38	17	interfaces	interface	NOUN
fis-1254	38	18	to	to	PART
fis-1254	38	19	be	be	AUX
fis-1254	38	20	rigid	rigid	ADJ
fis-1254	38	21	against	against	ADP
fis-1254	38	22	mode	mode	NOUN
fis-1254	38	23	i	i	PRON
fis-1254	38	24	(	(	PUNCT
fis-1254	38	25	opening	opening	NOUN
fis-1254	38	26	)	)	PUNCT
fis-1254	38	27	relative	relative	ADJ
fis-1254	38	28	displacements	displacement	NOUN
fis-1254	38	29	.	.	PUNCT
fis-1254	39	1	this	this	DET
fis-1254	39	2	latter	latter	ADJ
fis-1254	39	3	assumption	assumption	NOUN
fis-1254	39	4	,	,	PUNCT
fis-1254	39	5	which	which	PRON
fis-1254	39	6	is	be	AUX
fis-1254	39	7	often	often	ADV
fis-1254	39	8	used	use	VERB
fis-1254	39	9	in	in	ADP
fis-1254	39	10	the	the	DET
fis-1254	39	11	literature	literature	NOUN
fis-1254	39	12	,	,	PUNCT
fis-1254	39	13	is	be	AUX
fis-1254	39	14	rigorously	rigorously	ADV
fis-1254	39	15	correct	correct	ADJ
fis-1254	39	16	only	only	ADV
fis-1254	39	17	in	in	ADP
fis-1254	39	18	problems	problem	NOUN
fis-1254	39	19	where	where	SCONJ
fis-1254	39	20	the	the	DET
fis-1254	39	21	conditions	condition	NOUN
fis-1254	39	22	along	along	ADP
fis-1254	39	23	the	the	DET
fis-1254	39	24	interfaces	interface	NOUN
fis-1254	39	25	are	be	AUX
fis-1254	39	26	purely	purely	ADV
fis-1254	39	27	mode	mode	PROPN
fis-1254	39	28	ii	ii	PROPN
fis-1254	39	29	.	.	PUNCT
fis-1254	40	1	the	the	DET
fis-1254	40	2	assumption	assumption	NOUN
fis-1254	40	3	,	,	PUNCT
fis-1254	40	4	however	however	ADV
fis-1254	40	5	,	,	PUNCT
fis-1254	40	6	is	be	AUX
fis-1254	40	7	acceptable	acceptable	ADJ
fis-1254	40	8	in	in	ADP
fis-1254	40	9	the	the	DET
fis-1254	40	10	presence	presence	NOUN
fis-1254	40	11	of	of	ADP
fis-1254	40	12	continuous	continuous	ADJ
fis-1254	40	13	interfaces	interface	NOUN
fis-1254	40	14	,	,	PUNCT
fis-1254	40	15	when	when	SCONJ
fis-1254	40	16	the	the	DET
fis-1254	40	17	interfacial	interfacial	ADJ
fis-1254	40	18	normal	normal	ADJ
fis-1254	40	19	tractions	traction	NOUN
fis-1254	40	20	are	be	AUX
fis-1254	40	21	small	small	ADJ
fis-1254	40	22	compared	compare	VERB
fis-1254	40	23	to	to	ADP
fis-1254	40	24	the	the	DET
fis-1254	40	25	tangential	tangential	ADJ
fis-1254	40	26	tractions	traction	NOUN
fis-1254	40	27	and	and	CCONJ
fis-1254	40	28	interfacial	interfacial	ADJ
fis-1254	40	29	opening	opening	NOUN
fis-1254	40	30	is	be	AUX
fis-1254	40	31	prevented	prevent	VERB
fis-1254	40	32	,	,	PUNCT
fis-1254	40	33	e.g.	e.g.	ADV
fis-1254	40	34	by	by	ADP
fis-1254	40	35	a	a	DET
fis-1254	40	36	through	through	ADP
fis-1254	40	37	-	-	PUNCT
fis-1254	40	38	thickness	thickness	NOUN
fis-1254	40	39	reinforcement	reinforcement	NOUN
fis-1254	40	40	or	or	CCONJ
fis-1254	40	41	other	other	ADJ
fis-1254	40	42	means	mean	NOUN
fis-1254	40	43	.	.	PUNCT
fis-1254	41	1	to	to	PART
fis-1254	41	2	describe	describe	VERB
fis-1254	41	3	cohesive	cohesive	ADJ
fis-1254	41	4	delaminations	delamination	NOUN
fis-1254	41	5	under	under	ADP
fis-1254	41	6	general	general	ADJ
fis-1254	41	7	mixed	mixed	ADJ
fis-1254	41	8	mode	mode	NOUN
fis-1254	41	9	conditions	condition	NOUN
fis-1254	41	10	,	,	PUNCT
fis-1254	41	11	the	the	DET
fis-1254	41	12	general	general	ADJ
fis-1254	41	13	treatment	treatment	NOUN
fis-1254	41	14	,	,	PUNCT
fis-1254	41	15	which	which	PRON
fis-1254	41	16	has	have	AUX
fis-1254	41	17	been	be	AUX
fis-1254	41	18	proposed	propose	VERB
fis-1254	41	19	in	in	ADP
fis-1254	41	20	[	[	X
fis-1254	41	21	18	18	NUM
fis-1254	41	22	]	]	PUNCT
fis-1254	41	23	,	,	PUNCT
fis-1254	41	24	for	for	ADP
fis-1254	41	25	plates	plate	NOUN
fis-1254	41	26	,	,	PUNCT
fis-1254	41	27	and	and	CCONJ
fis-1254	41	28	in	in	ADP
fis-1254	41	29	[	[	X
fis-1254	41	30	19	19	NUM
fis-1254	41	31	]	]	PUNCT
fis-1254	41	32	,	,	PUNCT
fis-1254	41	33	for	for	ADP
fis-1254	41	34	wide	wide	ADJ
fis-1254	41	35	plates	plate	NOUN
fis-1254	41	36	in	in	ADP
fis-1254	41	37	cylindrical	cylindrical	ADJ
fis-1254	41	38	bending	bending	NOUN
fis-1254	41	39	,	,	PUNCT
fis-1254	41	40	and	and	CCONJ
fis-1254	41	41	accounts	account	VERB
fis-1254	41	42	for	for	ADP
fis-1254	41	43	interfacial	interfacial	ADJ
fis-1254	41	44	opening	opening	NOUN
fis-1254	41	45	,	,	PUNCT
fis-1254	41	46	must	must	AUX
fis-1254	41	47	be	be	AUX
fis-1254	41	48	applied	apply	VERB
fis-1254	41	49	.	.	PUNCT
fis-1254	42	1	based	base	VERB
fis-1254	42	2	on	on	ADP
fis-1254	42	3	the	the	DET
fis-1254	42	4	c	c	NOUN
fis-1254	42	5	r	r	NOUN
fis-1254	42	6	massabò	massabò	PROPN
fis-1254	42	7	,	,	PUNCT
fis-1254	42	8	frattura	frattura	PROPN
fis-1254	42	9	ed	ed	PROPN
fis-1254	42	10	integrità	integrità	PROPN
fis-1254	42	11	strutturale	strutturale	PROPN
fis-1254	42	12	,	,	PUNCT
fis-1254	42	13	29(2014	29(2014	NUM
fis-1254	42	14	)	)	PUNCT
fis-1254	42	15	230	230	NUM
fis-1254	42	16	-	-	SYM
fis-1254	42	17	240	240	NUM
fis-1254	42	18	;	;	PUNCT
fis-1254	42	19	doi	doi	NOUN
fis-1254	42	20	:	:	PUNCT
fis-1254	42	21	10.3221	10.3221	NUM
fis-1254	42	22	/	/	SYM
fis-1254	42	23	igf	igf	PROPN
fis-1254	42	24	-	-	ADJ
fis-1254	42	25	esis.29.20	esis.29.20	NOUN
fis-1254	42	26	232	232	NUM
fis-1254	42	27	assumptions	assumption	NOUN
fis-1254	42	28	above	above	ADV
fis-1254	42	29	,	,	PUNCT
fis-1254	42	30	the	the	DET
fis-1254	42	31	displacement	displacement	ADJ
fis-1254	42	32	components	component	NOUN
fis-1254	42	33	then	then	ADV
fis-1254	42	34	simplify	simplify	VERB
fis-1254	42	35	in	in	ADP
fis-1254	42	36	1	1	NUM
fis-1254	42	37	0v	0v	ADJ
fis-1254	42	38	,	,	PUNCT
fis-1254	42	39	2	2	NUM
fis-1254	42	40	2	2	NUM
fis-1254	42	41	2	2	NUM
fis-1254	42	42	3	3	NUM
fis-1254	42	43	(	(	PUNCT
fis-1254	42	44	,	,	PUNCT
fis-1254	42	45	)	)	PUNCT
fis-1254	42	46	v	v	NOUN
fis-1254	42	47	v	v	NOUN
fis-1254	42	48	x	x	SYM
fis-1254	42	49	x	x	X
fis-1254	42	50	and	and	CCONJ
fis-1254	42	51	3	3	NUM
fis-1254	42	52	2	2	NUM
fis-1254	42	53	(	(	PUNCT
fis-1254	42	54	)	)	PUNCT
fis-1254	42	55	v	v	NOUN
fis-1254	42	56	w	w	NOUN
fis-1254	42	57	x	x	X
fis-1254	42	58	.	.	PUNCT
fis-1254	43	1	following	follow	VERB
fis-1254	43	2	the	the	DET
fis-1254	43	3	classical	classical	ADJ
fis-1254	43	4	assumption	assumption	NOUN
fis-1254	43	5	of	of	ADP
fis-1254	43	6	lower	low	ADJ
fis-1254	43	7	-	-	PUNCT
fis-1254	43	8	order	order	NOUN
fis-1254	43	9	plate	plate	NOUN
fis-1254	43	10	theories	theory	NOUN
fis-1254	43	11	,	,	PUNCT
fis-1254	43	12	in	in	ADP
fis-1254	43	13	the	the	DET
fis-1254	43	14	constitutive	constitutive	ADJ
fis-1254	43	15	relationships	relationship	NOUN
fis-1254	43	16	for	for	ADP
fis-1254	43	17	the	the	DET
fis-1254	43	18	generic	generic	ADJ
fis-1254	43	19	layer	layer	NOUN
fis-1254	43	20	k	k	PROPN
fis-1254	43	21	the	the	DET
fis-1254	43	22	normal	normal	ADJ
fis-1254	43	23	stresses	stress	NOUN
fis-1254	43	24	,	,	PUNCT
fis-1254	43	25	33	33	NUM
fis-1254	43	26	(	(	PUNCT
fis-1254	43	27	)	)	PUNCT
fis-1254	43	28	k	k	PROPN
fis-1254	43	29	for	for	ADP
fis-1254	43	30	k	k	PROPN
fis-1254	43	31	=	=	PROPN
fis-1254	43	32	1	1	NUM
fis-1254	43	33	..	..	PUNCT
fis-1254	43	34	n-1	n-1	NUM
fis-1254	43	35	,	,	PUNCT
fis-1254	43	36	are	be	AUX
fis-1254	43	37	assumed	assume	VERB
fis-1254	43	38	to	to	PART
fis-1254	43	39	be	be	AUX
fis-1254	43	40	negligibly	negligibly	ADV
fis-1254	43	41	small	small	ADJ
fis-1254	43	42	compared	compare	VERB
fis-1254	43	43	to	to	ADP
fis-1254	43	44	the	the	DET
fis-1254	43	45	other	other	ADJ
fis-1254	43	46	components	component	NOUN
fis-1254	43	47	.	.	PUNCT
fis-1254	44	1	this	this	DET
fis-1254	44	2	yields	yield	NOUN
fis-1254	44	3	:	:	PUNCT
fis-1254	44	4	22	22	NUM
fis-1254	44	5	22	22	NUM
fis-1254	44	6	22	22	NUM
fis-1254	44	7			PROPN
fis-1254	44	8	(	(	PUNCT
fis-1254	44	9	)	)	PUNCT
fis-1254	44	10	(	(	PUNCT
fis-1254	44	11	)	)	PUNCT
fis-1254	44	12	(	(	PUNCT
fis-1254	44	13	)	)	PUNCT
fis-1254	44	14	k	k	X
fis-1254	44	15	k	k	PROPN
fis-1254	44	16	kc	kc	PROPN
fis-1254	44	17	and	and	CCONJ
fis-1254	44	18	23	23	NUM
fis-1254	44	19	55	55	NUM
fis-1254	44	20	232	232	PROPN
fis-1254	45	1			PROPN
fis-1254	45	2	(	(	PUNCT
fis-1254	45	3	)	)	PUNCT
fis-1254	45	4	(	(	PUNCT
fis-1254	45	5	)	)	PUNCT
fis-1254	45	6	(	(	PUNCT
fis-1254	45	7	)	)	PUNCT
fis-1254	45	8	k	k	PROPN
fis-1254	45	9	k	k	PROPN
fis-1254	45	10	kc	kc	PROPN
fis-1254	45	11	(	(	PUNCT
fis-1254	45	12	1a	1a	X
fis-1254	45	13	)	)	PUNCT
fis-1254	45	14			PROPN
fis-1254	45	15	2222	2222	NUM
fis-1254	45	16	22	22	NUM
fis-1254	45	17			NOUN
fis-1254	45	18	(	(	PUNCT
fis-1254	45	19	)	)	PUNCT
fis-1254	45	20	(	(	PUNCT
fis-1254	45	21	)	)	PUNCT
fis-1254	45	22	(	(	PUNCT
fis-1254	45	23	)	)	PUNCT
fis-1254	45	24	kk	kk	PROPN
fis-1254	45	25	ka	ka	PROPN
fis-1254	45	26	and	and	CCONJ
fis-1254	45	27	23	23	NUM
fis-1254	45	28	55	55	NUM
fis-1254	45	29	232	232	NUM
fis-1254	45	30			PROPN
fis-1254	45	31			NOUN
fis-1254	45	32	(	(	PUNCT
fis-1254	45	33	)	)	PUNCT
fis-1254	45	34	(	(	PUNCT
fis-1254	45	35	)	)	PUNCT
fis-1254	45	36	(	(	PUNCT
fis-1254	45	37	)	)	PUNCT
fis-1254	45	38	k	k	PROPN
fis-1254	45	39	k	k	PROPN
fis-1254	45	40	ka	ka	PROPN
fis-1254	45	41	(	(	PUNCT
fis-1254	45	42	1b	1b	NUM
fis-1254	45	43	)	)	PUNCT
fis-1254	45	44	with	with	ADP
fis-1254	45	45			NOUN
fis-1254	45	46	22	22	NOUN
fis-1254	45	47	22	22	NUM
fis-1254	45	48	23	23	NUM
fis-1254	45	49	32	32	NUM
fis-1254	45	50	33	33	NUM
fis-1254	45	51			NOUN
fis-1254	45	52	(	(	PUNCT
fis-1254	45	53	)	)	PUNCT
fis-1254	45	54	(	(	PUNCT
fis-1254	45	55	)	)	PUNCT
fis-1254	45	56	/	/	SYM
fis-1254	46	1	kk	kk	INTJ
fis-1254	47	1	c	c	NOUN
fis-1254	47	2	c	c	NOUN
fis-1254	47	3	c	c	NOUN
fis-1254	47	4	c	c	PROPN
fis-1254	47	5	c	c	NOUN
fis-1254	47	6	and	and	CCONJ
fis-1254	47	7			PROPN
fis-1254	47	8	22	22	NOUN
fis-1254	47	9	22	22	NUM
fis-1254	47	10	21	21	NUM
fis-1254	47	11	12	12	NUM
fis-1254	47	12	11	11	NUM
fis-1254	47	13	(	(	PUNCT
fis-1254	47	14	)	)	PUNCT
fis-1254	47	15	(	(	PUNCT
fis-1254	47	16	)	)	PUNCT
fis-1254	47	17	/	/	SYM
fis-1254	47	18	kk	kk	PROPN
fis-1254	47	19	a	a	DET
fis-1254	47	20	a	a	DET
fis-1254	47	21	a	a	DET
fis-1254	47	22	a	a	DET
fis-1254	47	23	a	a	NOUN
fis-1254	47	24			NOUN
fis-1254	47	25	,	,	PUNCT
fis-1254	47	26	where	where	SCONJ
fis-1254	47	27	the	the	DET
fis-1254	47	28	(	(	PUNCT
fis-1254	47	29	)	)	PUNCT
fis-1254	47	30	k	k	PROPN
fis-1254	47	31	ijc	ijc	PROPN
fis-1254	47	32	and	and	CCONJ
fis-1254	47	33	(	(	PUNCT
fis-1254	47	34	)	)	PUNCT
fis-1254	47	35	k	k	PROPN
fis-1254	47	36	ija	ija	PROPN
fis-1254	47	37	are	be	AUX
fis-1254	47	38	the	the	DET
fis-1254	47	39	coefficients	coefficient	NOUN
fis-1254	47	40	of	of	ADP
fis-1254	47	41	the	the	DET
fis-1254	47	42	6×6	6×6	ADJ
fis-1254	47	43	stiffness	stiffness	NOUN
fis-1254	47	44	and	and	CCONJ
fis-1254	47	45	compliance	compliance	NOUN
fis-1254	47	46	matrices	matrix	NOUN
fis-1254	47	47	(	(	PUNCT
fis-1254	47	48	engineering	engineering	NOUN
fis-1254	47	49	notation	notation	NOUN
fis-1254	47	50	)	)	PUNCT
fis-1254	47	51	.	.	PUNCT
fis-1254	48	1	transverse	transverse	NOUN
fis-1254	48	2	normal	normal	ADJ
fis-1254	48	3	tractions	traction	NOUN
fis-1254	48	4	will	will	AUX
fis-1254	48	5	then	then	ADV
fis-1254	48	6	be	be	AUX
fis-1254	48	7	derived	derive	VERB
fis-1254	48	8	a	a	DET
fis-1254	48	9	posteriori	posteriori	NOUN
fis-1254	48	10	from	from	ADP
fis-1254	48	11	local	local	ADJ
fis-1254	48	12	equilibrium	equilibrium	NOUN
fis-1254	48	13	.	.	PUNCT
fis-1254	49	1	the	the	DET
fis-1254	49	2	interfaces	interface	NOUN
fis-1254	49	3	are	be	AUX
fis-1254	49	4	described	describe	VERB
fis-1254	49	5	by	by	ADP
fis-1254	49	6	interfacial	interfacial	ADJ
fis-1254	49	7	traction	traction	NOUN
fis-1254	49	8	laws	law	NOUN
fis-1254	49	9	which	which	PRON
fis-1254	49	10	relate	relate	VERB
fis-1254	49	11	the	the	DET
fis-1254	49	12	interfacial	interfacial	ADJ
fis-1254	49	13	shear	shear	NOUN
fis-1254	49	14	tractions	traction	NOUN
fis-1254	49	15	,	,	PUNCT
fis-1254	49	16	acting	act	VERB
fis-1254	49	17	along	along	ADP
fis-1254	49	18	the	the	DET
fis-1254	49	19	surface	surface	NOUN
fis-1254	49	20	of	of	ADP
fis-1254	49	21	the	the	DET
fis-1254	49	22	layer	layer	NOUN
fis-1254	49	23	k	k	PROPN
fis-1254	49	24	at	at	ADP
fis-1254	49	25	the	the	DET
fis-1254	49	26	interface	interface	NOUN
fis-1254	49	27	with	with	ADP
fis-1254	49	28	unit	unit	NOUN
fis-1254	49	29	positive	positive	ADJ
fis-1254	49	30	normal	normal	ADJ
fis-1254	49	31	vector	vector	NOUN
fis-1254	49	32	,	,	PUNCT
fis-1254	49	33	s	s	PROPN
fis-1254	49	34	(	(	PUNCT
fis-1254	49	35	)	)	PUNCT
fis-1254	49	36	k	k	NOUN
fis-1254	49	37	,	,	PUNCT
fis-1254	49	38	23	23	NUM
fis-1254	49	39	2	2	NUM
fis-1254	49	40	23	23	NUM
fis-1254	49	41	2	2	NUM
fis-1254	49	42	3	3	NUM
fis-1254	49	43	3	3	NUM
fis-1254	49	44			PROPN
fis-1254	49	45			NOUN
fis-1254	49	46			NUM
fis-1254	49	47			PROPN
fis-1254	49	48	(	(	PUNCT
fis-1254	49	49	)	)	PUNCT
fis-1254	49	50	ˆ	ˆ	NOUN
fis-1254	49	51	ˆ	ˆ	ADV
fis-1254	49	52	(	(	PUNCT
fis-1254	49	53	)	)	PUNCT
fis-1254	49	54	(	(	PUNCT
fis-1254	49	55	,	,	PUNCT
fis-1254	49	56	)	)	PUNCT
fis-1254	49	57	k	k	PROPN
fis-1254	50	1	k	k	PROPN
fis-1254	51	1	k	k	PROPN
fis-1254	51	2	k	k	PROPN
fis-1254	51	3	s	s	X
fis-1254	51	4	x	x	PUNCT
fis-1254	51	5	x	x	PUNCT
fis-1254	51	6	x	x	SYM
fis-1254	51	7	x	x	X
fis-1254	51	8	(	(	PUNCT
fis-1254	51	9	2	2	NUM
fis-1254	51	10	)	)	PUNCT
fis-1254	51	11	to	to	ADP
fis-1254	51	12	the	the	DET
fis-1254	51	13	interface	interface	NOUN
fis-1254	51	14	relative	relative	NOUN
fis-1254	51	15	sliding	slide	VERB
fis-1254	51	16	displacement	displacement	NOUN
fis-1254	51	17	:	:	PUNCT
fis-1254	51	18			NOUN
fis-1254	51	19			SYM
fis-1254	51	20			NOUN
fis-1254	51	21			SYM
fis-1254	51	22			NOUN
fis-1254	51	23			SYM
fis-1254	51	24			NOUN
fis-1254	51	25	1	1	NOUN
fis-1254	51	26	2	2	NUM
fis-1254	51	27	2	2	NUM
fis-1254	51	28	2	2	NUM
fis-1254	51	29	2	2	NUM
fis-1254	51	30	2	2	NUM
fis-1254	51	31	3	3	NUM
fis-1254	51	32	3	3	NUM
fis-1254	51	33	2	2	NUM
fis-1254	51	34	2	2	NUM
fis-1254	51	35	3	3	NUM
fis-1254	51	36	3	3	NUM
fis-1254	51	37			ADJ
fis-1254	51	38			NUM
fis-1254	51	39			PROPN
fis-1254	51	40			NOUN
fis-1254	51	41	ˆ	ˆ	NUM
fis-1254	51	42	ˆ	ˆ	NOUN
fis-1254	51	43	(	(	PUNCT
fis-1254	51	44	)	)	PUNCT
fis-1254	51	45	,	,	PUNCT
fis-1254	51	46	,	,	PUNCT
fis-1254	51	47	k	k	PROPN
fis-1254	51	48	kk	kk	PROPN
fis-1254	51	49	k	k	PROPN
fis-1254	51	50	k	k	PROPN
fis-1254	51	51	kv	kv	PROPN
fis-1254	51	52	v	v	ADP
fis-1254	51	53	x	x	SYM
fis-1254	51	54	v	v	NOUN
fis-1254	51	55	x	x	SYM
fis-1254	51	56	x	x	SYM
fis-1254	51	57	x	x	SYM
fis-1254	51	58	v	v	X
fis-1254	51	59	x	x	SYM
fis-1254	51	60	x	x	SYM
fis-1254	51	61	x	x	X
fis-1254	51	62	(	(	PUNCT
fis-1254	51	63	3	3	NUM
fis-1254	51	64	)	)	PUNCT
fis-1254	51	65	the	the	DET
fis-1254	51	66	interfacial	interfacial	ADJ
fis-1254	51	67	traction	traction	NOUN
fis-1254	51	68	law	law	NOUN
fis-1254	51	69	is	be	AUX
fis-1254	51	70	generally	generally	ADV
fis-1254	51	71	nonlinear	nonlinear	ADJ
fis-1254	51	72	to	to	PART
fis-1254	51	73	represent	represent	VERB
fis-1254	51	74	different	different	ADJ
fis-1254	51	75	physical	physical	ADJ
fis-1254	51	76	mechanisms	mechanism	NOUN
fis-1254	51	77	,	,	PUNCT
fis-1254	51	78	which	which	PRON
fis-1254	51	79	may	may	AUX
fis-1254	51	80	include	include	VERB
fis-1254	51	81	the	the	DET
fis-1254	51	82	elastic	elastic	ADJ
fis-1254	51	83	response	response	NOUN
fis-1254	51	84	of	of	ADP
fis-1254	51	85	thin	thin	ADJ
fis-1254	51	86	interfacial	interfacial	ADJ
fis-1254	51	87	layers	layer	NOUN
fis-1254	51	88	,	,	PUNCT
fis-1254	51	89	cohesive	cohesive	ADJ
fis-1254	51	90	/	/	SYM
fis-1254	51	91	bridging	bridging	NOUN
fis-1254	51	92	mechanisms	mechanism	NOUN
fis-1254	51	93	developed	develop	VERB
fis-1254	51	94	by	by	ADP
fis-1254	51	95	trans	tran	NOUN
fis-1254	51	96	-	-	ADJ
fis-1254	51	97	laminar	laminar	ADJ
fis-1254	51	98	reinforcements	reinforcement	NOUN
fis-1254	51	99	or	or	CCONJ
fis-1254	51	100	other	other	ADJ
fis-1254	51	101	means	mean	NOUN
fis-1254	51	102	,	,	PUNCT
fis-1254	51	103	material	material	NOUN
fis-1254	51	104	rupture	rupture	NOUN
fis-1254	51	105	,	,	PUNCT
fis-1254	51	106	elastic	elastic	ADJ
fis-1254	51	107	contact	contact	NOUN
fis-1254	51	108	along	along	ADP
fis-1254	51	109	the	the	DET
fis-1254	51	110	delamination	delamination	NOUN
fis-1254	51	111	surfaces	surface	NOUN
fis-1254	51	112	[	[	X
fis-1254	51	113	3	3	NUM
fis-1254	51	114	-	-	SYM
fis-1254	51	115	7,20,21	7,20,21	NUM
fis-1254	51	116	]	]	PUNCT
fis-1254	51	117	.	.	PUNCT
fis-1254	52	1	the	the	DET
fis-1254	52	2	law	law	NOUN
fis-1254	52	3	can	can	AUX
fis-1254	52	4	be	be	AUX
fis-1254	52	5	approximated	approximate	VERB
fis-1254	52	6	as	as	ADP
fis-1254	52	7	a	a	DET
fis-1254	52	8	piecewise	piecewise	NOUN
fis-1254	52	9	linear	linear	NOUN
fis-1254	52	10	function	function	NOUN
fis-1254	52	11	so	so	SCONJ
fis-1254	52	12	that	that	SCONJ
fis-1254	52	13	the	the	DET
fis-1254	52	14	arbitrary	arbitrary	ADJ
fis-1254	52	15	branch	branch	NOUN
fis-1254	52	16	i	i	PRON
fis-1254	52	17	is	be	AUX
fis-1254	52	18	described	describe	VERB
fis-1254	52	19	by	by	ADP
fis-1254	52	20	an	an	DET
fis-1254	52	21	affine	affine	NOUN
fis-1254	52	22	function	function	NOUN
fis-1254	52	23	of	of	ADP
fis-1254	52	24	the	the	DET
fis-1254	52	25	relative	relative	ADJ
fis-1254	52	26	displacement	displacement	NOUN
fis-1254	52	27	:	:	PUNCT
fis-1254	52	28	23	23	NUM
fis-1254	52	29	2	2	NUM
fis-1254	52	30	ˆ	ˆ	NOUN
fis-1254	52	31	ˆ	ˆ	ADV
fis-1254	52	32	ˆi	ˆi	X
fis-1254	53	1	k	k	INTJ
fis-1254	54	1	i	i	PRON
fis-1254	54	2	k	k	INTJ
fis-1254	55	1	i	i	PRON
fis-1254	55	2	k	k	PROPN
fis-1254	56	1	k	k	PROPN
fis-1254	57	1	i	i	PRON
fis-1254	57	2	k	k	PROPN
fis-1254	58	1	s	s	X
fis-1254	58	2	s	s	X
fis-1254	58	3	sk	sk	NOUN
fis-1254	58	4	v	v	PROPN
fis-1254	58	5	t	t	PROPN
fis-1254	58	6			PROPN
fis-1254	58	7			PROPN
fis-1254	58	8			ADV
fis-1254	58	9	(	(	PUNCT
fis-1254	58	10	4a	4a	NUM
fis-1254	58	11	)	)	PUNCT
fis-1254	58	12			NOUN
fis-1254	58	13	2	2	ADP
fis-1254	58	14			NOUN
fis-1254	58	15	ˆˆk	ˆˆk	ADV
fis-1254	59	1	i	i	PRON
fis-1254	59	2	k	k	INTJ
fis-1254	60	1	i	i	PRON
fis-1254	60	2	k	k	INTJ
fis-1254	61	1	i	i	PRON
fis-1254	61	2	k	k	PROPN
fis-1254	62	1	s	s	PROPN
fis-1254	62	2	s	s	PROPN
fis-1254	62	3	sv	sv	PROPN
fis-1254	62	4	b	b	PROPN
fis-1254	62	5	t	t	PROPN
fis-1254	62	6	(	(	PUNCT
fis-1254	62	7	4b	4b	PROPN
fis-1254	62	8	)	)	PUNCT
fis-1254	62	9	where	where	SCONJ
fis-1254	62	10	i	i	PRON
fis-1254	62	11	k	k	INTJ
fis-1254	62	12	sk	sk	INTJ
fis-1254	63	1	and	and	CCONJ
fis-1254	63	2	i	i	PRON
fis-1254	63	3	k	k	PROPN
fis-1254	63	4	sb	sb	PROPN
fis-1254	63	5	are	be	AUX
fis-1254	63	6	the	the	DET
fis-1254	63	7	interface	interface	NOUN
fis-1254	63	8	tangential	tangential	ADJ
fis-1254	63	9	stiffness	stiffness	NOUN
fis-1254	63	10	and	and	CCONJ
fis-1254	63	11	compliance	compliance	NOUN
fis-1254	64	1	and	and	CCONJ
fis-1254	64	2	i	i	PRON
fis-1254	64	3	k	k	PROPN
fis-1254	64	4	st	st	PROPN
fis-1254	64	5	is	be	AUX
fis-1254	64	6	a	a	DET
fis-1254	64	7	constant	constant	ADJ
fis-1254	64	8	interfacial	interfacial	ADJ
fis-1254	64	9	traction	traction	NOUN
fis-1254	64	10	which	which	PRON
fis-1254	64	11	is	be	AUX
fis-1254	64	12	assumed	assume	VERB
fis-1254	64	13	to	to	PART
fis-1254	64	14	act	act	VERB
fis-1254	64	15	when	when	SCONJ
fis-1254	64	16	2	2	NUM
fis-1254	64	17	0ˆkv	0ˆkv	PROPN
fis-1254	64	18			NOUN
fis-1254	64	19	,	,	PUNCT
fis-1254	64	20	and	and	CCONJ
fis-1254	64	21	is	be	AUX
fis-1254	64	22	typically	typically	ADV
fis-1254	64	23	positive	positive	ADJ
fis-1254	64	24	/	/	SYM
fis-1254	64	25	negative	negative	ADJ
fis-1254	64	26	for	for	ADP
fis-1254	64	27	positive	positive	ADJ
fis-1254	64	28	/	/	SYM
fis-1254	64	29	negative	negative	ADJ
fis-1254	64	30	2̂	2̂	PROPN
fis-1254	64	31	kv	kv	PROPN
fis-1254	64	32	,	,	PUNCT
fis-1254	64	33	i.e.	i.e.	X
fis-1254	64	34	2	2	NUM
fis-1254	64	35	2	2	NUM
fis-1254	64	36			NOUN
fis-1254	64	37			NOUN
fis-1254	64	38			NOUN
fis-1254	64	39	ˆ	ˆ	NOUN
fis-1254	64	40	ˆ	ˆ	PROPN
fis-1254	64	41	(	(	PUNCT
fis-1254	64	42	)	)	PUNCT
fis-1254	64	43	h	h	NOUN
fis-1254	64	44	(	(	PUNCT
fis-1254	64	45	)	)	PUNCT
fis-1254	65	1	i	i	PRON
fis-1254	65	2	k	k	PROPN
fis-1254	66	1	k	k	PROPN
fis-1254	66	2	k	k	PROPN
fis-1254	67	1	i	i	PRON
fis-1254	67	2	k	k	PROPN
fis-1254	68	1	s	s	PROPN
fis-1254	68	2	st	st	PROPN
fis-1254	68	3	h	h	PROPN
fis-1254	68	4	v	v	PROPN
fis-1254	68	5	v	v	ADP
fis-1254	68	6	t	t	PROPN
fis-1254	68	7	with	with	ADP
fis-1254	68	8	h	h	NOUN
fis-1254	68	9	the	the	DET
fis-1254	68	10	heaviside	heaviside	ADJ
fis-1254	68	11	step	step	NOUN
fis-1254	68	12	function	function	NOUN
fis-1254	68	13	.	.	PUNCT
fis-1254	69	1	a	a	DET
fis-1254	69	2	purely	purely	ADV
fis-1254	69	3	elastic	elastic	ADJ
fis-1254	69	4	interface	interface	NOUN
fis-1254	69	5	is	be	AUX
fis-1254	69	6	described	describe	VERB
fis-1254	69	7	by	by	ADP
fis-1254	69	8	a	a	DET
fis-1254	69	9	single	single	ADJ
fis-1254	69	10	branch	branch	NOUN
fis-1254	69	11	with	with	ADP
fis-1254	69	12	0k	0k	PROPN
fis-1254	69	13	st	st	PROPN
fis-1254	69	14	,	,	PUNCT
fis-1254	69	15	perfectly	perfectly	ADV
fis-1254	69	16	bonded	bond	VERB
fis-1254	69	17	interfaces	interface	NOUN
fis-1254	69	18	are	be	AUX
fis-1254	69	19	defined	define	VERB
fis-1254	69	20	by	by	ADP
fis-1254	69	21	0k	0k	PROPN
fis-1254	69	22	st	st	PROPN
fis-1254	69	23	and	and	CCONJ
fis-1254	69	24	k	k	PROPN
fis-1254	69	25	sb	sb	PROPN
fis-1254	69	26	0	0	PROPN
fis-1254	69	27	,	,	PUNCT
fis-1254	69	28	which	which	PRON
fis-1254	69	29	yields	yield	VERB
fis-1254	69	30	2	2	NUM
fis-1254	69	31	ˆkv	ˆkv	NOUN
fis-1254	69	32	0	0	NUM
fis-1254	69	33	,	,	PUNCT
fis-1254	69	34	and	and	CCONJ
fis-1254	69	35	fully	fully	ADV
fis-1254	69	36	debonded	debonde	VERB
fis-1254	69	37	interfaces	interface	NOUN
fis-1254	69	38	by	by	ADP
fis-1254	69	39	0k	0k	PROPN
fis-1254	69	40	st	st	PROPN
fis-1254	69	41	and	and	CCONJ
fis-1254	69	42	k	k	PROPN
fis-1254	69	43	sk	sk	PROPN
fis-1254	69	44	0	0	NUM
fis-1254	69	45	,	,	PUNCT
fis-1254	69	46	which	which	PRON
fis-1254	69	47	yields	yield	VERB
fis-1254	69	48			PROPN
fis-1254	69	49	ˆ	ˆ	PUNCT
fis-1254	69	50	k	k	X
fis-1254	69	51	s	s	PROPN
fis-1254	69	52	0	0	NUM
fis-1254	69	53	.	.	PUNCT
fis-1254	70	1	for	for	ADP
fis-1254	70	2	0k	0k	PROPN
fis-1254	70	3	st	st	PROPN
fis-1254	70	4	,	,	PUNCT
fis-1254	70	5	the	the	DET
fis-1254	70	6	affine	affine	ADJ
fis-1254	70	7	law	law	NOUN
fis-1254	70	8	of	of	ADP
fis-1254	70	9	eq	eq	PROPN
fis-1254	70	10	.	.	PUNCT
fis-1254	71	1	(	(	PUNCT
fis-1254	71	2	4	4	X
fis-1254	71	3	)	)	PUNCT
fis-1254	71	4	could	could	AUX
fis-1254	71	5	describe	describe	VERB
fis-1254	71	6	the	the	DET
fis-1254	71	7	bridging	bridging	NOUN
fis-1254	71	8	mechanisms	mechanism	NOUN
fis-1254	71	9	developed	develop	VERB
fis-1254	71	10	by	by	ADP
fis-1254	71	11	a	a	DET
fis-1254	71	12	through	through	ADP
fis-1254	71	13	-	-	PUNCT
fis-1254	71	14	thickness	thickness	NOUN
fis-1254	71	15	reinforcement	reinforcement	NOUN
fis-1254	71	16	,	,	PUNCT
fis-1254	71	17	e.g.	e.g.	ADV
fis-1254	71	18	stitching	stitching	NOUN
fis-1254	71	19	,	,	PUNCT
fis-1254	71	20	applied	apply	VERB
fis-1254	71	21	to	to	ADP
fis-1254	71	22	a	a	DET
fis-1254	71	23	laminated	laminate	VERB
fis-1254	71	24	composite	composite	NOUN
fis-1254	71	25	[	[	X
fis-1254	71	26	21	21	NUM
fis-1254	71	27	]	]	PUNCT
fis-1254	71	28	.	.	PUNCT
fis-1254	72	1	if	if	SCONJ
fis-1254	72	2	the	the	DET
fis-1254	72	3	relationship	relationship	NOUN
fis-1254	72	4	(	(	PUNCT
fis-1254	72	5	4	4	X
fis-1254	72	6	)	)	PUNCT
fis-1254	72	7	is	be	AUX
fis-1254	72	8	used	use	VERB
fis-1254	72	9	to	to	PART
fis-1254	72	10	represent	represent	VERB
fis-1254	72	11	branches	branch	NOUN
fis-1254	72	12	of	of	ADP
fis-1254	72	13	cohesive	cohesive	ADJ
fis-1254	72	14	traction	traction	NOUN
fis-1254	72	15	laws	law	NOUN
fis-1254	72	16	,	,	PUNCT
fis-1254	72	17	different	different	ADJ
fis-1254	72	18	linear	linear	NOUN
fis-1254	72	19	functions	function	NOUN
fis-1254	72	20	may	may	AUX
fis-1254	72	21	be	be	AUX
fis-1254	72	22	needed	need	VERB
fis-1254	72	23	to	to	PART
fis-1254	72	24	represent	represent	VERB
fis-1254	72	25	processes	process	NOUN
fis-1254	72	26	inducing	induce	VERB
fis-1254	72	27	loading	loading	NOUN
fis-1254	72	28	and	and	CCONJ
fis-1254	72	29	unloading	unloading	NOUN
fis-1254	72	30	of	of	ADP
fis-1254	72	31	the	the	DET
fis-1254	72	32	delaminations	delamination	NOUN
fis-1254	72	33	and	and	CCONJ
fis-1254	72	34	the	the	DET
fis-1254	72	35	associated	associated	ADJ
fis-1254	72	36	sliding	slide	VERB
fis-1254	72	37	and	and	CCONJ
fis-1254	72	38	reverse	reverse	NOUN
fis-1254	72	39	-	-	PUNCT
fis-1254	72	40	sliding	slide	VERB
fis-1254	72	41	mechanisms	mechanism	NOUN
fis-1254	72	42	.	.	PUNCT
fis-1254	73	1	in	in	ADP
fis-1254	73	2	this	this	DET
fis-1254	73	3	paper	paper	NOUN
fis-1254	73	4	,	,	PUNCT
fis-1254	73	5	equilibrium	equilibrium	NOUN
fis-1254	73	6	equations	equation	NOUN
fis-1254	73	7	will	will	AUX
fis-1254	73	8	be	be	AUX
fis-1254	73	9	derived	derive	VERB
fis-1254	73	10	for	for	ADP
fis-1254	73	11	plates	plate	NOUN
fis-1254	73	12	with	with	ADP
fis-1254	73	13	interfaces	interface	NOUN
fis-1254	73	14	described	describe	VERB
fis-1254	73	15	by	by	ADP
fis-1254	73	16	the	the	DET
fis-1254	73	17	arbitrary	arbitrary	ADJ
fis-1254	73	18	branch	branch	NOUN
fis-1254	73	19	i	i	PRON
fis-1254	73	20	of	of	ADP
fis-1254	73	21	eq	eq	PROPN
fis-1254	73	22	.	.	PUNCT
fis-1254	74	1	(	(	PUNCT
fis-1254	74	2	4	4	NUM
fis-1254	74	3	)	)	PUNCT
fis-1254	74	4	and	and	CCONJ
fis-1254	74	5	,	,	PUNCT
fis-1254	74	6	for	for	ADP
fis-1254	74	7	the	the	DET
fis-1254	74	8	sake	sake	NOUN
fis-1254	74	9	of	of	ADP
fis-1254	74	10	simplicity	simplicity	NOUN
fis-1254	74	11	,	,	PUNCT
fis-1254	74	12	the	the	DET
fis-1254	74	13	superscript	superscript	NOUN
fis-1254	74	14	i	i	PRON
fis-1254	74	15	will	will	AUX
fis-1254	74	16	be	be	AUX
fis-1254	74	17	removed	remove	VERB
fis-1254	74	18	.	.	PUNCT
fis-1254	75	1	two	two	NUM
fis-1254	75	2	length	length	NOUN
fis-1254	75	3	-	-	PUNCT
fis-1254	75	4	scales	scale	NOUN
fis-1254	75	5	displacement	displacement	ADJ
fis-1254	75	6	field	field	NOUN
fis-1254	75	7	the	the	DET
fis-1254	75	8	displacement	displacement	ADJ
fis-1254	75	9	field	field	NOUN
fis-1254	75	10	is	be	AUX
fis-1254	75	11	assumed	assume	VERB
fis-1254	75	12	to	to	PART
fis-1254	75	13	be	be	AUX
fis-1254	75	14	given	give	VERB
fis-1254	75	15	by	by	ADP
fis-1254	75	16	the	the	DET
fis-1254	75	17	superposition	superposition	NOUN
fis-1254	75	18	of	of	ADP
fis-1254	75	19	a	a	DET
fis-1254	75	20	global	global	ADJ
fis-1254	75	21	field	field	NOUN
fis-1254	75	22	and	and	CCONJ
fis-1254	75	23	local	local	ADJ
fis-1254	75	24	perturbation	perturbation	NOUN
fis-1254	75	25	terms	term	NOUN
fis-1254	75	26	(	(	PUNCT
fis-1254	75	27	or	or	CCONJ
fis-1254	75	28	enrichments	enrichment	NOUN
fis-1254	75	29	)	)	PUNCT
fis-1254	75	30	.	.	PUNCT
fis-1254	76	1	the	the	DET
fis-1254	76	2	nonzero	nonzero	PROPN
fis-1254	76	3	components	component	NOUN
fis-1254	76	4	of	of	ADP
fis-1254	76	5	the	the	DET
fis-1254	76	6	displacement	displacement	ADJ
fis-1254	76	7	vector	vector	NOUN
fis-1254	76	8	at	at	ADP
fis-1254	76	9	an	an	DET
fis-1254	76	10	arbitrary	arbitrary	ADJ
fis-1254	76	11	point	point	NOUN
fis-1254	76	12			PRON
fis-1254	76	13	1	1	PROPN
fis-1254	76	14	2	2	NUM
fis-1254	76	15	3x	3x	NOUN
fis-1254	76	16	,	,	PUNCT
fis-1254	76	17	,	,	PUNCT
fis-1254	76	18	t	t	PROPN
fis-1254	76	19	x	x	X
fis-1254	76	20	x	x	X
fis-1254	76	21	x	x	VERB
fis-1254	76	22	are	be	AUX
fis-1254	76	23	:	:	PUNCT
fis-1254	76	24	1	1	NUM
fis-1254	76	25	1	1	NUM
fis-1254	76	26	2	2	NUM
fis-1254	76	27	2	2	NUM
fis-1254	76	28	3	3	NUM
fis-1254	76	29	02	02	NUM
fis-1254	76	30	2	2	NUM
fis-1254	76	31	3	3	NUM
fis-1254	76	32	2	2	NUM
fis-1254	76	33	3	3	NUM
fis-1254	76	34	3	3	NUM
fis-1254	76	35	2	2	NUM
fis-1254	76	36	1	1	NUM
fis-1254	76	37	1	1	NUM
fis-1254	76	38			PROPN
fis-1254	76	39			PROPN
fis-1254	76	40			PROPN
fis-1254	76	41			NUM
fis-1254	77	1			NUM
fis-1254	77	2			PROPN
fis-1254	77	3			ADV
fis-1254	77	4			PUNCT
fis-1254	77	5			PROPN
fis-1254	77	6			PROPN
fis-1254	77	7			NOUN
fis-1254	77	8			X
fis-1254	77	9	ˆ	ˆ	ADP
fis-1254	77	10	(	(	PUNCT
fis-1254	77	11	,	,	PUNCT
fis-1254	77	12	)	)	PUNCT
fis-1254	77	13	(	(	PUNCT
fis-1254	77	14	)	)	PUNCT
fis-1254	77	15	n	n	CCONJ
fis-1254	77	16	n	n	NOUN
fis-1254	78	1	k	k	NOUN
fis-1254	78	2	k	k	PROPN
fis-1254	79	1	k	k	PROPN
fis-1254	79	2	k	k	PROPN
fis-1254	80	1	k	k	PROPN
fis-1254	80	2	k	k	PROPN
fis-1254	81	1	k	k	PROPN
fis-1254	81	2	v	v	INTJ
fis-1254	81	3	x	x	SYM
fis-1254	81	4	x	x	X
fis-1254	81	5	v	v	ADP
fis-1254	81	6	x	x	SYM
fis-1254	81	7	x	x	SYM
fis-1254	81	8	x	x	SYM
fis-1254	81	9	h	h	NOUN
fis-1254	81	10	v	v	NUM
fis-1254	81	11	h	h	NOUN
fis-1254	81	12	(	(	PUNCT
fis-1254	81	13	5a	5a	NUM
fis-1254	81	14	)	)	PUNCT
fis-1254	81	15	3	3	NUM
fis-1254	81	16	2	2	NUM
fis-1254	81	17	2	2	NUM
fis-1254	81	18	0	0	NUM
fis-1254	81	19	(	(	PUNCT
fis-1254	81	20	)	)	PUNCT
fis-1254	81	21	(	(	PUNCT
fis-1254	81	22	)	)	PUNCT
fis-1254	81	23	v	v	NOUN
fis-1254	81	24	x	x	SYM
fis-1254	81	25	w	w	NOUN
fis-1254	81	26	x	x	PUNCT
fis-1254	81	27	w	w	VERB
fis-1254	81	28			PROPN
fis-1254	81	29	(	(	PUNCT
fis-1254	81	30	5b	5b	NUM
fis-1254	81	31	)	)	PUNCT
fis-1254	81	32	where	where	SCONJ
fis-1254	81	33	3	3	NUM
fis-1254	81	34	3	3	NUM
fis-1254	81	35			NOUN
fis-1254	81	36	(	(	PUNCT
fis-1254	81	37	)	)	PUNCT
fis-1254	81	38	k	k	PROPN
fis-1254	82	1	kh	kh	PROPN
fis-1254	82	2	h	h	NOUN
fis-1254	82	3	x	x	PUNCT
fis-1254	82	4	x	x	PUNCT
fis-1254	82	5			NOUN
fis-1254	82	6	3	3	NUM
fis-1254	82	7	30	30	NUM
fis-1254	82	8			PROPN
fis-1254	82	9	,	,	PUNCT
fis-1254	82	10	;	;	PUNCT
fis-1254	82	11	kx	kx	PROPN
fis-1254	82	12	x	x	SYM
fis-1254	82	13	3	3	PROPN
fis-1254	82	14	31	31	NUM
fis-1254	82	15			NUM
fis-1254	82	16	,	,	PUNCT
fis-1254	82	17	kx	kx	PROPN
fis-1254	82	18	x	x	X
fis-1254	82	19	and	and	CCONJ
fis-1254	82	20	the	the	DET
fis-1254	82	21	terms	term	NOUN
fis-1254	82	22	on	on	ADP
fis-1254	82	23	the	the	DET
fis-1254	82	24	right	right	ADJ
fis-1254	82	25	hand	hand	NOUN
fis-1254	82	26	side	side	NOUN
fis-1254	82	27	of	of	ADP
fis-1254	82	28	eq	eq	PROPN
fis-1254	82	29	.	.	PUNCT
fis-1254	83	1	(	(	PUNCT
fis-1254	83	2	5a	5a	NUM
fis-1254	83	3	)	)	PUNCT
fis-1254	83	4	denote	denote	VERB
fis-1254	83	5	different	different	ADJ
fis-1254	83	6	contributions	contribution	NOUN
fis-1254	83	7	in	in	ADP
fis-1254	83	8	the	the	DET
fis-1254	83	9	displacement	displacement	ADJ
fis-1254	83	10	representation	representation	NOUN
fis-1254	83	11	:	:	PUNCT
fis-1254	83	12	02	02	NUM
fis-1254	83	13	02	02	NUM
fis-1254	83	14	2	2	NUM
fis-1254	83	15	(	(	PUNCT
fis-1254	83	16	)	)	PUNCT
fis-1254	83	17	v	v	NOUN
fis-1254	83	18	v	v	NOUN
fis-1254	83	19	x	x	X
fis-1254	83	20	,	,	PUNCT
fis-1254	83	21	0	0	NUM
fis-1254	83	22	0	0	NUM
fis-1254	83	23	2	2	NUM
fis-1254	83	24	(	(	PUNCT
fis-1254	83	25	)	)	PUNCT
fis-1254	83	26	w	w	PROPN
fis-1254	83	27	w	w	PROPN
fis-1254	83	28	x	x	X
fis-1254	83	29	and	and	CCONJ
fis-1254	83	30	2	2	NUM
fis-1254	83	31	2	2	NUM
fis-1254	83	32	2	2	NUM
fis-1254	83	33	(	(	PUNCT
fis-1254	83	34	)	)	PUNCT
fis-1254	83	35	x	x	PROPN
fis-1254	84	1			PROPN
fis-1254	84	2	define	define	VERB
fis-1254	84	3	standard	standard	ADJ
fis-1254	84	4	first	first	ADJ
fis-1254	84	5	order	order	NOUN
fis-1254	84	6	shear	shear	NOUN
fis-1254	84	7	deformation	deformation	NOUN
fis-1254	84	8	theory	theory	NOUN
fis-1254	84	9	terms	term	NOUN
fis-1254	84	10	,	,	PUNCT
fis-1254	84	11	which	which	PRON
fis-1254	84	12	are	be	AUX
fis-1254	84	13	continuous	continuous	ADJ
fis-1254	84	14	with	with	ADP
fis-1254	84	15	continuous	continuous	ADJ
fis-1254	84	16	derivatives	derivative	NOUN
fis-1254	84	17	in	in	ADP
fis-1254	84	18	the	the	DET
fis-1254	84	19	thickness	thickness	NOUN
fis-1254	84	20	direction	direction	NOUN
fis-1254	84	21	,	,	PUNCT
fis-1254	84	22	1	1	NUM
fis-1254	84	23	3c	3c	NUM
fis-1254	84	24	,	,	PUNCT
fis-1254	84	25	and	and	CCONJ
fis-1254	84	26	,	,	PUNCT
fis-1254	84	27	r	r	NOUN
fis-1254	84	28	massabò	massabò	PROPN
fis-1254	84	29	,	,	PUNCT
fis-1254	84	30	frattura	frattura	PROPN
fis-1254	84	31	ed	ed	PROPN
fis-1254	84	32	integrità	integrità	PROPN
fis-1254	84	33	strutturale	strutturale	PROPN
fis-1254	84	34	,	,	PUNCT
fis-1254	84	35	29	29	NUM
fis-1254	84	36	(	(	PUNCT
fis-1254	84	37	2014	2014	NUM
fis-1254	84	38	)	)	PUNCT
fis-1254	84	39	230	230	NUM
fis-1254	84	40	-	-	SYM
fis-1254	84	41	240	240	NUM
fis-1254	84	42	;	;	PUNCT
fis-1254	84	43	doi	doi	NOUN
fis-1254	84	44	:	:	PUNCT
fis-1254	84	45	10.3221	10.3221	NUM
fis-1254	84	46	/	/	SYM
fis-1254	84	47	igf	igf	PROPN
fis-1254	84	48	-	-	ADJ
fis-1254	84	49	esis.29.20	esis.29.20	NOUN
fis-1254	84	50	233	233	NUM
fis-1254	84	51	when	when	SCONJ
fis-1254	84	52	the	the	DET
fis-1254	84	53	reference	reference	NOUN
fis-1254	84	54	surface	surface	NOUN
fis-1254	84	55	coincides	coincide	VERB
fis-1254	84	56	with	with	ADP
fis-1254	84	57	the	the	DET
fis-1254	84	58	mid	mid	NOUN
fis-1254	84	59	-	-	NOUN
fis-1254	84	60	surface	surface	NOUN
fis-1254	84	61	of	of	ADP
fis-1254	84	62	the	the	DET
fis-1254	84	63	bottom	bottom	ADJ
fis-1254	84	64	layer	layer	NOUN
fis-1254	84	65	,	,	PUNCT
fis-1254	84	66	define	define	VERB
fis-1254	84	67	the	the	DET
fis-1254	84	68	generalized	generalized	ADJ
fis-1254	84	69	displacement	displacement	ADJ
fis-1254	84	70	components	component	NOUN
fis-1254	84	71	of	of	ADP
fis-1254	84	72	its	its	PRON
fis-1254	84	73	points	point	NOUN
fis-1254	84	74	.	.	PUNCT
fis-1254	85	1	the	the	DET
fis-1254	85	2	third	third	ADJ
fis-1254	85	3	term	term	NOUN
fis-1254	85	4	in	in	ADP
fis-1254	85	5	eq	eq	ADP
fis-1254	85	6	.	.	PUNCT
fis-1254	85	7	(	(	PUNCT
fis-1254	85	8	5a	5a	NUM
fis-1254	85	9	)	)	PUNCT
fis-1254	85	10	,	,	PUNCT
fis-1254	85	11	with	with	ADP
fis-1254	85	12	summations	summation	NOUN
fis-1254	85	13	on	on	ADP
fis-1254	85	14	the	the	DET
fis-1254	85	15	n-1	n-1	NOUN
fis-1254	85	16	of	of	ADP
fis-1254	85	17	interfaces	interface	NOUN
fis-1254	85	18	,	,	PUNCT
fis-1254	85	19	supply	supply	VERB
fis-1254	85	20	the	the	DET
fis-1254	85	21	zig	zig	NOUN
fis-1254	85	22	-	-	PUNCT
fis-1254	85	23	zag	zag	NOUN
fis-1254	85	24	contributions	contribution	NOUN
fis-1254	85	25	,	,	PUNCT
fis-1254	85	26	2k	2k	NUM
fis-1254	85	27	,	,	PUNCT
fis-1254	85	28	[	[	X
fis-1254	85	29	9,10	9,10	NUM
fis-1254	85	30	]	]	PUNCT
fis-1254	85	31	,	,	PUNCT
fis-1254	85	32	which	which	PRON
fis-1254	85	33	are	be	AUX
fis-1254	85	34	continuous	continuous	ADJ
fis-1254	85	35	in	in	ADP
fis-1254	85	36	3x	3x	NUM
fis-1254	85	37	but	but	CCONJ
fis-1254	85	38	with	with	ADP
fis-1254	85	39	jumps	jump	NOUN
fis-1254	85	40	in	in	ADP
fis-1254	85	41	the	the	DET
fis-1254	85	42	first	first	ADJ
fis-1254	85	43	derivatives	derivative	NOUN
fis-1254	85	44	at	at	ADP
fis-1254	85	45	the	the	DET
fis-1254	85	46	interfaces	interface	NOUN
fis-1254	85	47	,	,	PUNCT
fis-1254	85	48	0	0	NUM
fis-1254	85	49	3c	3c	NUM
fis-1254	85	50	,	,	PUNCT
fis-1254	85	51	and	and	CCONJ
fis-1254	85	52	are	be	AUX
fis-1254	85	53	necessary	necessary	ADJ
fis-1254	85	54	to	to	PART
fis-1254	85	55	satisfy	satisfy	VERB
fis-1254	85	56	continuity	continuity	NOUN
fis-1254	85	57	of	of	ADP
fis-1254	85	58	the	the	DET
fis-1254	85	59	shear	shear	NOUN
fis-1254	85	60	tractions	traction	NOUN
fis-1254	85	61	at	at	ADP
fis-1254	85	62	the	the	DET
fis-1254	85	63	interfaces	interface	NOUN
fis-1254	85	64	in	in	ADP
fis-1254	85	65	plates	plate	NOUN
fis-1254	85	66	with	with	ADP
fis-1254	85	67	arbitrary	arbitrary	ADJ
fis-1254	85	68	stacking	stacking	NOUN
fis-1254	85	69	sequences	sequence	NOUN
fis-1254	85	70	;	;	PUNCT
fis-1254	85	71	the	the	DET
fis-1254	85	72	fourth	fourth	ADJ
fis-1254	85	73	term	term	NOUN
fis-1254	85	74	,	,	PUNCT
fis-1254	85	75	with	with	ADP
fis-1254	85	76	summations	summation	NOUN
fis-1254	85	77	on	on	ADP
fis-1254	85	78	the	the	DET
fis-1254	85	79	n-1	n-1	ADJ
fis-1254	85	80	interfaces	interface	NOUN
fis-1254	85	81	,	,	PUNCT
fis-1254	85	82	define	define	VERB
fis-1254	85	83	a	a	DET
fis-1254	85	84	discontinuous	discontinuous	ADJ
fis-1254	85	85	field	field	NOUN
fis-1254	85	86	and	and	CCONJ
fis-1254	85	87	supply	supply	VERB
fis-1254	85	88	the	the	DET
fis-1254	85	89	contribution	contribution	NOUN
fis-1254	85	90	of	of	ADP
fis-1254	85	91	the	the	DET
fis-1254	85	92	relative	relative	ADJ
fis-1254	85	93	displacements	displacement	NOUN
fis-1254	85	94	(	(	PUNCT
fis-1254	85	95	jumps	jump	VERB
fis-1254	85	96	)	)	PUNCT
fis-1254	85	97	at	at	ADP
fis-1254	85	98	the	the	DET
fis-1254	85	99	cohesive	cohesive	ADJ
fis-1254	85	100	interfaces	interface	NOUN
fis-1254	85	101	.	.	PUNCT
fis-1254	86	1	eq	eq	X
fis-1254	86	2	.	.	PUNCT
fis-1254	87	1	(	(	PUNCT
fis-1254	87	2	5	5	X
fis-1254	87	3	)	)	PUNCT
fis-1254	87	4	define	define	VERB
fis-1254	87	5	a	a	DET
fis-1254	87	6	first	first	ADJ
fis-1254	87	7	order	order	NOUN
fis-1254	87	8	model	model	NOUN
fis-1254	87	9	,	,	PUNCT
fis-1254	87	10	since	since	SCONJ
fis-1254	87	11	the	the	DET
fis-1254	87	12	displacements	displacement	NOUN
fis-1254	87	13	are	be	AUX
fis-1254	87	14	piecewise	piecewise	NOUN
fis-1254	87	15	linear	linear	NOUN
fis-1254	87	16	functions	function	NOUN
fis-1254	87	17	of	of	ADP
fis-1254	87	18	3x	3x	NUM
fis-1254	87	19	.	.	PUNCT
fis-1254	88	1	higher	high	ADJ
fis-1254	88	2	order	order	NOUN
fis-1254	88	3	models	model	NOUN
fis-1254	88	4	have	have	AUX
fis-1254	88	5	been	be	AUX
fis-1254	88	6	proposed	propose	VERB
fis-1254	88	7	in	in	ADP
fis-1254	88	8	the	the	DET
fis-1254	88	9	theories	theory	NOUN
fis-1254	88	10	in	in	ADP
fis-1254	88	11	[	[	X
fis-1254	88	12	11,13	11,13	NUM
fis-1254	88	13	]	]	PUNCT
fis-1254	88	14	,	,	PUNCT
fis-1254	88	15	which	which	PRON
fis-1254	88	16	however	however	ADV
fis-1254	88	17	have	have	VERB
fis-1254	88	18	no	no	DET
fis-1254	88	19	advantages	advantage	NOUN
fis-1254	88	20	over	over	ADP
fis-1254	88	21	i	i	PRON
fis-1254	88	22	order	order	NOUN
fis-1254	88	23	models	model	NOUN
fis-1254	88	24	in	in	ADP
fis-1254	88	25	the	the	DET
fis-1254	88	26	presence	presence	NOUN
fis-1254	88	27	of	of	ADP
fis-1254	88	28	imperfect	imperfect	ADJ
fis-1254	88	29	interfaces	interface	NOUN
fis-1254	88	30	,	,	PUNCT
fis-1254	88	31	as	as	SCONJ
fis-1254	88	32	it	it	PRON
fis-1254	88	33	was	be	AUX
fis-1254	88	34	proven	prove	VERB
fis-1254	88	35	in	in	ADP
fis-1254	88	36	[	[	X
fis-1254	88	37	18	18	NUM
fis-1254	88	38	]	]	PUNCT
fis-1254	88	39	.	.	PUNCT
fis-1254	89	1	the	the	DET
fis-1254	89	2	linear	linear	ADJ
fis-1254	89	3	infinitesimal	infinitesimal	ADJ
fis-1254	89	4	nonzero	nonzero	NOUN
fis-1254	89	5	strain	strain	NOUN
fis-1254	89	6	components	component	NOUN
fis-1254	89	7	at	at	ADP
fis-1254	89	8	the	the	DET
fis-1254	89	9	coordinate	coordinate	NOUN
fis-1254	89	10	3x	3x	NUM
fis-1254	89	11	within	within	ADP
fis-1254	89	12	layer	layer	NOUN
fis-1254	89	13	k	k	PROPN
fis-1254	89	14	are	be	AUX
fis-1254	89	15	derived	derive	VERB
fis-1254	89	16	using	use	VERB
fis-1254	89	17	eq	eq	ADP
fis-1254	89	18	.	.	PUNCT
fis-1254	90	1	(	(	PUNCT
fis-1254	90	2	5	5	NUM
fis-1254	90	3	):	):	PUNCT
fis-1254	90	4			NOUN
fis-1254	90	5			SYM
fis-1254	90	6			NOUN
fis-1254	90	7			NOUN
fis-1254	90	8	1	1	NUM
fis-1254	90	9	1	1	NUM
fis-1254	90	10	22	22	NUM
fis-1254	90	11	02	02	NUM
fis-1254	90	12	2	2	NUM
fis-1254	90	13	2	2	NUM
fis-1254	90	14	2	2	NUM
fis-1254	90	15	3	3	NUM
fis-1254	90	16	2	2	NUM
fis-1254	90	17	2	2	NUM
fis-1254	90	18	3	3	NUM
fis-1254	90	19	3	3	NUM
fis-1254	90	20	2	2	NUM
fis-1254	90	21	2	2	NUM
fis-1254	90	22	1	1	NUM
fis-1254	90	23	1	1	NUM
fis-1254	90	24			NOUN
fis-1254	90	25			PROPN
fis-1254	90	26			PROPN
fis-1254	90	27			PROPN
fis-1254	90	28			NUM
fis-1254	90	29			NUM
fis-1254	90	30			PROPN
fis-1254	90	31			ADV
fis-1254	90	32			PUNCT
fis-1254	90	33			PROPN
fis-1254	90	34			PROPN
fis-1254	90	35			NOUN
fis-1254	90	36			NUM
fis-1254	90	37	,	,	PUNCT
fis-1254	90	38	,	,	PUNCT
fis-1254	90	39	,	,	PUNCT
fis-1254	90	40	,	,	PUNCT
fis-1254	90	41	ˆ	ˆ	PROPN
fis-1254	91	1	k	k	PROPN
fis-1254	92	1	k	k	PROPN
fis-1254	93	1	k	k	PROPN
fis-1254	94	1	j	j	PROPN
fis-1254	95	1	j	j	PROPN
fis-1254	95	2	j	j	PROPN
fis-1254	95	3	j	j	PROPN
fis-1254	95	4	j	j	PROPN
fis-1254	95	5	v	v	INTJ
fis-1254	95	6	x	x	SYM
fis-1254	95	7	x	x	SYM
fis-1254	95	8	x	x	SYM
fis-1254	95	9	v	v	NOUN
fis-1254	95	10	(	(	PUNCT
fis-1254	95	11	6a	6a	NOUN
fis-1254	95	12	)	)	PUNCT
fis-1254	95	13			NOUN
fis-1254	95	14			PUNCT
fis-1254	95	15	1	1	NUM
fis-1254	95	16	23	23	NUM
fis-1254	95	17	0	0	NUM
fis-1254	95	18	2	2	NUM
fis-1254	95	19	2	2	NUM
fis-1254	95	20	2	2	NUM
fis-1254	95	21	1	1	NUM
fis-1254	95	22	2	2	NUM
fis-1254	95	23			NOUN
fis-1254	95	24			PROPN
fis-1254	95	25			PROPN
fis-1254	95	26			PROPN
fis-1254	95	27			PROPN
fis-1254	95	28			ADV
fis-1254	95	29			X
fis-1254	95	30			NUM
fis-1254	95	31	,	,	PUNCT
fis-1254	95	32	k	k	PROPN
fis-1254	96	1	k	k	PROPN
fis-1254	97	1	j	j	PROPN
fis-1254	98	1	j	j	PROPN
fis-1254	98	2	w	w	PROPN
fis-1254	98	3	(	(	PUNCT
fis-1254	98	4	6b	6b	NOUN
fis-1254	98	5	)	)	PUNCT
fis-1254	98	6	where	where	SCONJ
fis-1254	98	7	the	the	DET
fis-1254	98	8	comma	comma	NOUN
fis-1254	98	9	followed	follow	VERB
fis-1254	98	10	by	by	ADP
fis-1254	98	11	a	a	DET
fis-1254	98	12	subscript	subscript	NOUN
fis-1254	98	13	denotes	denote	VERB
fis-1254	98	14	a	a	DET
fis-1254	98	15	derivative	derivative	NOUN
fis-1254	98	16	with	with	ADP
fis-1254	98	17	respect	respect	NOUN
fis-1254	98	18	to	to	ADP
fis-1254	98	19	the	the	DET
fis-1254	98	20	corresponding	corresponding	ADJ
fis-1254	98	21	coordinate	coordinate	NOUN
fis-1254	98	22	.	.	PUNCT
fis-1254	99	1	figure	figure	NOUN
fis-1254	99	2	1	1	NUM
fis-1254	99	3	:	:	PUNCT
fis-1254	99	4	(	(	PUNCT
fis-1254	99	5	a	a	X
fis-1254	99	6	)	)	PUNCT
fis-1254	99	7	composite	composite	ADJ
fis-1254	99	8	plate	plate	NOUN
fis-1254	99	9	showing	show	VERB
fis-1254	99	10	discretization	discretization	NOUN
fis-1254	99	11	into	into	ADP
fis-1254	99	12	layers	layer	NOUN
fis-1254	99	13	,	,	PUNCT
fis-1254	99	14	imperfect	imperfect	ADJ
fis-1254	99	15	/	/	SYM
fis-1254	99	16	cohesive	cohesive	ADJ
fis-1254	99	17	interfaces	interface	NOUN
fis-1254	99	18	and	and	CCONJ
fis-1254	99	19	delaminations	delamination	NOUN
fis-1254	99	20	.	.	PUNCT
fis-1254	100	1	(	(	PUNCT
fis-1254	100	2	b	b	X
fis-1254	100	3	)	)	PUNCT
fis-1254	100	4	infinitesimal	infinitesimal	ADJ
fis-1254	100	5	element	element	NOUN
fis-1254	100	6	of	of	ADP
fis-1254	100	7	layer	layer	NOUN
fis-1254	100	8	k	k	PROPN
fis-1254	100	9	showing	show	VERB
fis-1254	100	10	stress	stress	NOUN
fis-1254	100	11	resultants	resultant	NOUN
fis-1254	100	12	and	and	CCONJ
fis-1254	100	13	couples	couple	NOUN
fis-1254	100	14	and	and	CCONJ
fis-1254	100	15	interfacial	interfacial	ADJ
fis-1254	100	16	tractions	traction	NOUN
fis-1254	100	17	.	.	PUNCT
fis-1254	101	1	homogenized	homogenize	VERB
fis-1254	101	2	displacement	displacement	ADJ
fis-1254	101	3	field	field	NOUN
fis-1254	101	4	the	the	DET
fis-1254	101	5	n-1	n-1	ADJ
fis-1254	101	6	unknown	unknown	ADJ
fis-1254	101	7	zigzag	zigzag	NOUN
fis-1254	101	8	functions	function	NOUN
fis-1254	101	9	2	2	NUM
fis-1254	101	10	2	2	NUM
fis-1254	101	11	(	(	PUNCT
fis-1254	101	12	)	)	PUNCT
fis-1254	101	13	k	k	X
fis-1254	101	14	x	x	PUNCT
fis-1254	101	15	for	for	ADP
fis-1254	101	16	k	k	PROPN
fis-1254	101	17	=	=	SYM
fis-1254	101	18	1	1	NUM
fis-1254	101	19	..	..	PUNCT
fis-1254	101	20	n-1	n-1	NOUN
fis-1254	101	21	in	in	ADP
fis-1254	101	22	eq	eq	ADP
fis-1254	101	23	.	.	PUNCT
fis-1254	102	1	(	(	PUNCT
fis-1254	102	2	5a	5a	NUM
fis-1254	102	3	)	)	PUNCT
fis-1254	102	4	are	be	AUX
fis-1254	102	5	determined	determine	VERB
fis-1254	102	6	as	as	ADP
fis-1254	102	7	functions	function	NOUN
fis-1254	102	8	of	of	ADP
fis-1254	102	9	the	the	DET
fis-1254	102	10	global	global	ADJ
fis-1254	102	11	displacement	displacement	NOUN
fis-1254	102	12	variables	variable	NOUN
fis-1254	102	13	and	and	CCONJ
fis-1254	102	14	displacement	displacement	NOUN
fis-1254	102	15	jumps	jump	VERB
fis-1254	102	16	by	by	ADP
fis-1254	102	17	imposing	impose	VERB
fis-1254	102	18	continuity	continuity	NOUN
fis-1254	102	19	of	of	ADP
fis-1254	102	20	the	the	DET
fis-1254	102	21	shear	shear	NOUN
fis-1254	102	22	tractions	traction	NOUN
fis-1254	102	23	,	,	PUNCT
fis-1254	102	24	eq	eq	NOUN
fis-1254	102	25	.	.	PUNCT
fis-1254	103	1	(	(	PUNCT
fis-1254	103	2	2	2	NUM
fis-1254	103	3	)	)	PUNCT
fis-1254	103	4	,	,	PUNCT
fis-1254	103	5	across	across	ADP
fis-1254	103	6	the	the	DET
fis-1254	103	7	layer	layer	NOUN
fis-1254	103	8	interfaces	interface	NOUN
fis-1254	103	9	,	,	PUNCT
fis-1254	103	10	which	which	PRON
fis-1254	103	11	yields	yield	VERB
fis-1254	103	12	:	:	PUNCT
fis-1254	103	13	1	1	NUM
fis-1254	103	14	23	23	NUM
fis-1254	103	15	3	3	NUM
fis-1254	103	16	23	23	NUM
fis-1254	103	17	3	3	NUM
fis-1254	103	18			X
fis-1254	103	19	(	(	PUNCT
fis-1254	103	20	)	)	PUNCT
fis-1254	103	21	(	(	PUNCT
fis-1254	103	22	)	)	PUNCT
fis-1254	103	23	(	(	PUNCT
fis-1254	103	24	)	)	PUNCT
fis-1254	103	25	(	(	PUNCT
fis-1254	103	26	)	)	PUNCT
fis-1254	103	27	,	,	PUNCT
fis-1254	103	28	k	k	PROPN
fis-1254	103	29	k	k	PROPN
fis-1254	103	30	k	k	PROPN
fis-1254	103	31	kx	kx	PROPN
fis-1254	103	32	x	x	X
fis-1254	103	33	for	for	ADP
fis-1254	103	34	k	k	PROPN
fis-1254	103	35	=	=	PROPN
fis-1254	103	36	1	1	NUM
fis-1254	103	37	..	..	PUNCT
fis-1254	103	38	n-1	n-1	X
fis-1254	103	39	.	.	PUNCT
fis-1254	104	1	(	(	PUNCT
fis-1254	104	2	7	7	X
fis-1254	104	3	)	)	PUNCT
fis-1254	104	4	through	through	ADP
fis-1254	104	5	eq	eq	NOUN
fis-1254	104	6	.	.	PUNCT
fis-1254	105	1	(	(	PUNCT
fis-1254	105	2	7	7	NUM
fis-1254	105	3	)	)	PUNCT
fis-1254	105	4	,	,	PUNCT
fis-1254	105	5	(	(	PUNCT
fis-1254	105	6	6	6	NUM
fis-1254	105	7	)	)	PUNCT
fis-1254	105	8	and	and	CCONJ
fis-1254	105	9	(	(	PUNCT
fis-1254	105	10	1	1	X
fis-1254	105	11	)	)	PUNCT
fis-1254	105	12	the	the	DET
fis-1254	105	13	kth	kth	PROPN
fis-1254	105	14	zig	zig	PROPN
fis-1254	105	15	-	-	PUNCT
fis-1254	105	16	zag	zag	NOUN
fis-1254	105	17	function	function	NOUN
fis-1254	105	18	is	be	AUX
fis-1254	105	19	defined	define	VERB
fis-1254	105	20	in	in	ADP
fis-1254	105	21	terms	term	NOUN
fis-1254	105	22	of	of	ADP
fis-1254	105	23	the	the	DET
fis-1254	105	24	global	global	ADJ
fis-1254	105	25	displacement	displacement	NOUN
fis-1254	105	26	variables	variable	NOUN
fis-1254	105	27	:	:	PUNCT
fis-1254	105	28			NOUN
fis-1254	105	29			SYM
fis-1254	105	30			NOUN
fis-1254	105	31	1	1	VERB
fis-1254	106	1	2	2	NUM
fis-1254	106	2	0	0	NUM
fis-1254	106	3	2	2	NUM
fis-1254	106	4	2	2	NUM
fis-1254	106	5	22	22	NUM
fis-1254	106	6			NOUN
fis-1254	106	7			NOUN
fis-1254	106	8			NOUN
fis-1254	106	9	;	;	PUNCT
fis-1254	106	10	,	,	PUNCT
fis-1254	106	11	kk	kk	PROPN
fis-1254	106	12	w	w	PROPN
fis-1254	106	13	(	(	PUNCT
fis-1254	106	14	8)	8)	NUM
fis-1254	106	15	where	where	SCONJ
fis-1254	106	16	:	:	PUNCT
fis-1254	106	17			NOUN
fis-1254	106	18			PROPN
fis-1254	106	19	22	22	NUM
fis-1254	106	20	55	55	NUM
fis-1254	106	21	55	55	NUM
fis-1254	106	22			NOUN
fis-1254	106	23			NOUN
fis-1254	106	24			NOUN
fis-1254	106	25	;	;	PUNCT
fis-1254	106	26	(	(	PUNCT
fis-1254	106	27	)	)	PUNCT
fis-1254	106	28	i	i	PRON
fis-1254	107	1	j	j	VERB
fis-1254	108	1	i	i	PRON
fis-1254	108	2	jc	jc	VERB
fis-1254	108	3	a	a	PRON
fis-1254	108	4	and	and	CCONJ
fis-1254	108	5	1	1	NUM
fis-1254	108	6			PROPN
fis-1254	108	7			PROPN
fis-1254	108	8			PROPN
fis-1254	108	9			NOUN
fis-1254	108	10	(	(	PUNCT
fis-1254	108	11	)	)	PUNCT
fis-1254	109	1	(	(	PUNCT
fis-1254	109	2	)	)	PUNCT
fis-1254	109	3	k	k	PROPN
fis-1254	109	4	k	k	PROPN
fis-1254	109	5	k	k	PROPN
fis-1254	110	1	ij	ij	INTJ
fis-1254	110	2	ij	ij	INTJ
fis-1254	110	3	ija	ija	PROPN
fis-1254	110	4	a	a	DET
fis-1254	110	5	a	a	X
fis-1254	110	6	.	.	PUNCT
fis-1254	111	1	(	(	PUNCT
fis-1254	111	2	9	9	NUM
fis-1254	111	3	)	)	PUNCT
fis-1254	111	4	once	once	SCONJ
fis-1254	111	5	the	the	DET
fis-1254	111	6	functions	function	NOUN
fis-1254	111	7	2	2	NUM
fis-1254	111	8	2	2	NUM
fis-1254	111	9	(	(	PUNCT
fis-1254	111	10	)	)	PUNCT
fis-1254	111	11	k	k	NOUN
fis-1254	111	12	x	x	X
fis-1254	111	13	,	,	PUNCT
fis-1254	111	14	for	for	ADP
fis-1254	111	15	k	k	PROPN
fis-1254	111	16	=	=	PROPN
fis-1254	111	17	1	1	NUM
fis-1254	111	18	...	...	PUNCT
fis-1254	111	19	n-1	n-1	NOUN
fis-1254	111	20	,	,	PUNCT
fis-1254	111	21	have	have	AUX
fis-1254	111	22	been	be	AUX
fis-1254	111	23	defined	define	VERB
fis-1254	111	24	,	,	PUNCT
fis-1254	111	25	the	the	DET
fis-1254	111	26	relative	relative	ADJ
fis-1254	111	27	displacement	displacement	NOUN
fis-1254	111	28	at	at	ADP
fis-1254	111	29	each	each	DET
fis-1254	111	30	cohesive	cohesive	ADJ
fis-1254	111	31	interface	interface	NOUN
fis-1254	111	32	,	,	PUNCT
fis-1254	111	33	2ˆ	2ˆ	PROPN
fis-1254	111	34	kv	kv	PROPN
fis-1254	111	35	,	,	PUNCT
fis-1254	111	36	is	be	AUX
fis-1254	111	37	defined	define	VERB
fis-1254	111	38	through	through	ADP
fis-1254	111	39	the	the	DET
fis-1254	111	40	constitutive	constitutive	ADJ
fis-1254	111	41	law	law	NOUN
fis-1254	111	42	of	of	ADP
fis-1254	111	43	the	the	DET
fis-1254	111	44	interface	interface	NOUN
fis-1254	111	45	,	,	PUNCT
fis-1254	111	46	eq	eq	NOUN
fis-1254	111	47	.	.	PUNCT
fis-1254	112	1	(	(	PUNCT
fis-1254	112	2	4b	4b	PROPN
fis-1254	112	3	)	)	PUNCT
fis-1254	112	4	,	,	PUNCT
fis-1254	112	5	using	use	VERB
fis-1254	112	6	eq	eq	ADP
fis-1254	112	7	.	.	PUNCT
fis-1254	112	8	(	(	PUNCT
fis-1254	112	9	1a	1a	NUM
fis-1254	112	10	)	)	PUNCT
fis-1254	112	11	,	,	PUNCT
fis-1254	112	12	(	(	PUNCT
fis-1254	112	13	2	2	NUM
fis-1254	112	14	)	)	PUNCT
fis-1254	112	15	,	,	PUNCT
fis-1254	112	16	(	(	PUNCT
fis-1254	112	17	6b	6b	NOUN
fis-1254	112	18	)	)	PUNCT
fis-1254	112	19	and	and	CCONJ
fis-1254	112	20	(	(	PUNCT
fis-1254	112	21	8)	8)	NUM
fis-1254	112	22	.	.	PUNCT
fis-1254	113	1	the	the	DET
fis-1254	113	2	expression	expression	NOUN
fis-1254	113	3	for	for	ADP
fis-1254	113	4	the	the	DET
fis-1254	113	5	displacement	displacement	NOUN
fis-1254	113	6	jump	jump	NOUN
fis-1254	113	7	at	at	ADP
fis-1254	113	8	the	the	DET
fis-1254	113	9	s	s	PROPN
fis-1254	113	10	(	(	PUNCT
fis-1254	113	11	)	)	PUNCT
fis-1254	113	12	k	k	PROPN
fis-1254	113	13	interface	interface	NOUN
fis-1254	113	14	at	at	ADP
fis-1254	113	15	the	the	DET
fis-1254	113	16	coordinate	coordinate	NOUN
fis-1254	113	17	3	3	NUM
fis-1254	113	18	kx	kx	PROPN
fis-1254	113	19	in	in	ADP
fis-1254	113	20	terms	term	NOUN
fis-1254	113	21	of	of	ADP
fis-1254	113	22	the	the	DET
fis-1254	113	23	global	global	ADJ
fis-1254	113	24	displacement	displacement	NOUN
fis-1254	113	25	variables	variable	NOUN
fis-1254	113	26	is	be	AUX
fis-1254	113	27	:	:	PUNCT
fis-1254	113	28	x3	x3	PROPN
fis-1254	113	29	k-1	k-1	PROPN
fis-1254	113	30	x3	x3	PROPN
fis-1254	114	1	k	k	PROPN
fis-1254	115	1	p	p	X
fis-1254	115	2	(	(	PUNCT
fis-1254	115	3	x2	x2	PROPN
fis-1254	115	4	,	,	PUNCT
fis-1254	115	5	t	t	PROPN
fis-1254	115	6	)	)	PUNCT
fis-1254	115	7	kth	kth	PROPN
fis-1254	115	8	layer	layer	NOUN
fis-1254	115	9	cohesive	cohesive	ADJ
fis-1254	115	10	interfaces	interface	NOUN
fis-1254	115	11	delaminations	delamination	NOUN
fis-1254	115	12	x1	x1	INTJ
fis-1254	116	1	x3	x3	ADJ
fis-1254	116	2	x2	x2	PROPN
fis-1254	116	3	h	h	PROPN
fis-1254	116	4	l2	l2	NOUN
fis-1254	116	5	l1	l1	PROPN
fis-1254	116	6	r	r	PROPN
fis-1254	116	7	massabò	massabò	PROPN
fis-1254	116	8	,	,	PUNCT
fis-1254	116	9	frattura	frattura	PROPN
fis-1254	116	10	ed	ed	PROPN
fis-1254	116	11	integrità	integrità	PROPN
fis-1254	116	12	strutturale	strutturale	PROPN
fis-1254	116	13	,	,	PUNCT
fis-1254	116	14	29(2014	29(2014	NUM
fis-1254	116	15	)	)	PUNCT
fis-1254	116	16	230	230	NUM
fis-1254	116	17	-	-	SYM
fis-1254	116	18	240	240	NUM
fis-1254	116	19	;	;	PUNCT
fis-1254	116	20	doi	doi	NOUN
fis-1254	116	21	:	:	PUNCT
fis-1254	116	22	10.3221	10.3221	NUM
fis-1254	116	23	/	/	SYM
fis-1254	116	24	igf	igf	PROPN
fis-1254	116	25	-	-	ADJ
fis-1254	116	26	esis.29.20	esis.29.20	NOUN
fis-1254	116	27	234	234	NUM
fis-1254	116	28			NOUN
fis-1254	116	29	2	2	NOUN
fis-1254	116	30	0	0	NUM
fis-1254	116	31	2	2	NUM
fis-1254	116	32	2	2	NUM
fis-1254	116	33	22	22	NUM
fis-1254	116	34			ADV
fis-1254	116	35			PROPN
fis-1254	116	36	,ˆ	,ˆ	PROPN
fis-1254	116	37	k	k	PROPN
fis-1254	117	1	k	k	PROPN
fis-1254	117	2	k	k	PROPN
fis-1254	117	3	k	k	PROPN
fis-1254	117	4	s	s	PROPN
fis-1254	117	5	sv	sv	PROPN
fis-1254	117	6	w	w	PROPN
fis-1254	117	7	b	b	PROPN
fis-1254	117	8	t	t	PROPN
fis-1254	117	9	(	(	PUNCT
fis-1254	117	10	10	10	NUM
fis-1254	117	11	)	)	PUNCT
fis-1254	117	12	with	with	ADP
fis-1254	117	13			NOUN
fis-1254	117	14			SYM
fis-1254	117	15			NOUN
fis-1254	117	16	11	11	NOUN
fis-1254	118	1	22	22	NUM
fis-1254	118	2	55	55	NUM
fis-1254	118	3	22	22	NUM
fis-1254	118	4	1	1	NUM
fis-1254	118	5	1	1	NUM
fis-1254	118	6			NUM
fis-1254	118	7			NOUN
fis-1254	118	8			NOUN
fis-1254	118	9			PROPN
fis-1254	118	10			PROPN
fis-1254	118	11			PUNCT
fis-1254	118	12			NUM
fis-1254	118	13			PROPN
fis-1254	118	14			PROPN
fis-1254	118	15			NOUN
fis-1254	118	16			X
fis-1254	119	1	;	;	PUNCT
fis-1254	119	2	k	k	PROPN
fis-1254	119	3	jkk	jkk	PROPN
fis-1254	120	1	k	k	PROPN
fis-1254	120	2	s	s	PROPN
fis-1254	120	3	j	j	PROPN
fis-1254	120	4	c	c	PROPN
fis-1254	120	5	b	b	PROPN
fis-1254	120	6	(	(	PUNCT
fis-1254	120	7	11	11	NUM
fis-1254	120	8	)	)	PUNCT
fis-1254	120	9	eq	eq	NOUN
fis-1254	120	10	.	.	PUNCT
fis-1254	121	1	(	(	PUNCT
fis-1254	121	2	8)	8)	NUM
fis-1254	121	3	and	and	CCONJ
fis-1254	121	4	(	(	PUNCT
fis-1254	121	5	10	10	NUM
fis-1254	121	6	)	)	PUNCT
fis-1254	121	7	can	can	AUX
fis-1254	121	8	then	then	ADV
fis-1254	121	9	be	be	AUX
fis-1254	121	10	inserted	insert	VERB
fis-1254	121	11	into	into	ADP
fis-1254	121	12	eq	eq	NOUN
fis-1254	121	13	.	.	PUNCT
fis-1254	122	1	(	(	PUNCT
fis-1254	122	2	5	5	NUM
fis-1254	122	3	)	)	PUNCT
fis-1254	122	4	to	to	PART
fis-1254	122	5	obtain	obtain	VERB
fis-1254	122	6	the	the	DET
fis-1254	122	7	homogenized	homogenized	ADJ
fis-1254	122	8	displacement	displacement	ADJ
fis-1254	122	9	field	field	NOUN
fis-1254	122	10	.	.	PUNCT
fis-1254	123	1	the	the	DET
fis-1254	123	2	displacement	displacement	ADJ
fis-1254	123	3	components	component	NOUN
fis-1254	123	4	within	within	ADP
fis-1254	123	5	layer	layer	NOUN
fis-1254	123	6	k	k	PROPN
fis-1254	123	7	are	be	AUX
fis-1254	123	8	:	:	PUNCT
fis-1254	123	9			NOUN
fis-1254	123	10			PROPN
fis-1254	123	11			NOUN
fis-1254	123	12			PUNCT
fis-1254	123	13	1	1	PROPN
fis-1254	123	14	2	2	NUM
fis-1254	123	15	02	02	NUM
fis-1254	123	16	2	2	NUM
fis-1254	123	17	3	3	NUM
fis-1254	123	18	0	0	NUM
fis-1254	123	19	2	2	NUM
fis-1254	123	20	2	2	NUM
fis-1254	123	21	22	22	NUM
fis-1254	123	22	1	1	NUM
fis-1254	123	23			ADJ
fis-1254	123	24			PROPN
fis-1254	123	25			NOUN
fis-1254	123	26			PROPN
fis-1254	123	27			PROPN
fis-1254	123	28			ADV
fis-1254	123	29			PUNCT
fis-1254	123	30			PUNCT
fis-1254	123	31			PROPN
fis-1254	123	32	,	,	PUNCT
fis-1254	123	33	k	k	PROPN
fis-1254	123	34	k	k	PROPN
fis-1254	123	35	k	k	PROPN
fis-1254	124	1	i	i	PRON
fis-1254	124	2	i	i	PRON
fis-1254	124	3	s	s	VERB
fis-1254	124	4	s	s	X
fis-1254	124	5	s	s	X
fis-1254	124	6	i	i	PRON
fis-1254	124	7	v	v	ADP
fis-1254	124	8	v	v	NOUN
fis-1254	124	9	x	x	SYM
fis-1254	124	10	w	w	NOUN
fis-1254	124	11	r	r	NOUN
fis-1254	124	12	b	b	PROPN
fis-1254	124	13	t	t	PROPN
fis-1254	124	14	(	(	PUNCT
fis-1254	124	15	12a	12a	NOUN
fis-1254	124	16	)	)	PUNCT
fis-1254	124	17			NOUN
fis-1254	124	18			PROPN
fis-1254	124	19	0k	0k	PROPN
fis-1254	125	1	w	w	PROPN
fis-1254	125	2	w	w	PROPN
fis-1254	125	3	(	(	PUNCT
fis-1254	125	4	12b	12b	NOUN
fis-1254	125	5	)	)	PUNCT
fis-1254	125	6	where	where	SCONJ
fis-1254	125	7	:	:	PUNCT
fis-1254	125	8			NOUN
fis-1254	125	9			PROPN
fis-1254	125	10			NOUN
fis-1254	126	1			PUNCT
fis-1254	126	2	1	1	PROPN
fis-1254	126	3	1	1	NUM
fis-1254	126	4	22	22	NUM
fis-1254	126	5	22	22	NUM
fis-1254	126	6	3	3	NUM
fis-1254	126	7	22	22	NUM
fis-1254	126	8	3	3	NUM
fis-1254	126	9	3	3	NUM
fis-1254	126	10	22	22	NUM
fis-1254	126	11	1	1	NUM
fis-1254	126	12			NOUN
fis-1254	126	13			PROPN
fis-1254	126	14			PROPN
fis-1254	126	15			NOUN
fis-1254	126	16			NUM
fis-1254	126	17			PROPN
fis-1254	126	18			NOUN
fis-1254	126	19			NOUN
fis-1254	126	20			VERB
fis-1254	126	21			PROPN
fis-1254	126	22			PROPN
fis-1254	126	23			PROPN
fis-1254	126	24			PROPN
fis-1254	126	25			X
fis-1254	126	26	;	;	PUNCT
fis-1254	126	27	(	(	PUNCT
fis-1254	126	28	)	)	PUNCT
fis-1254	126	29	k	k	PROPN
fis-1254	126	30	ik	ik	PROPN
fis-1254	127	1	k	k	PROPN
fis-1254	127	2	i	i	PRON
fis-1254	128	1	i	i	PRON
fis-1254	128	2	s	s	VERB
fis-1254	128	3	s	s	X
fis-1254	129	1	i	i	NOUN
fis-1254	129	2	r	r	NOUN
fis-1254	129	3	r	r	NOUN
fis-1254	129	4	x	x	NOUN
fis-1254	129	5	x	x	SYM
fis-1254	129	6	x	x	X
fis-1254	129	7	(	(	PUNCT
fis-1254	129	8	13	13	NUM
fis-1254	129	9	)	)	PUNCT
fis-1254	129	10	eq	eq	NOUN
fis-1254	129	11	.	.	PUNCT
fis-1254	130	1	(	(	PUNCT
fis-1254	130	2	12	12	NUM
fis-1254	130	3	)	)	PUNCT
fis-1254	130	4	highlight	highlight	VERB
fis-1254	130	5	that	that	SCONJ
fis-1254	130	6	the	the	DET
fis-1254	130	7	displacement	displacement	ADJ
fis-1254	130	8	field	field	NOUN
fis-1254	130	9	is	be	AUX
fis-1254	130	10	fully	fully	ADV
fis-1254	130	11	defined	define	VERB
fis-1254	130	12	by	by	ADP
fis-1254	130	13	the	the	DET
fis-1254	130	14	3	3	NUM
fis-1254	130	15	displacement	displacement	ADJ
fis-1254	130	16	variables	variable	NOUN
fis-1254	130	17	,	,	PUNCT
fis-1254	130	18	02	02	NUM
fis-1254	130	19	0	0	NUM
fis-1254	130	20	2	2	NUM
fis-1254	130	21	,	,	PUNCT
fis-1254	130	22	,	,	PUNCT
fis-1254	130	23	v	v	X
fis-1254	130	24	w	w	NOUN
fis-1254	130	25	,	,	PUNCT
fis-1254	130	26	which	which	PRON
fis-1254	130	27	describe	describe	VERB
fis-1254	130	28	the	the	DET
fis-1254	130	29	global	global	ADJ
fis-1254	130	30	part	part	NOUN
fis-1254	130	31	of	of	ADP
fis-1254	130	32	the	the	DET
fis-1254	130	33	field	field	NOUN
fis-1254	130	34	,	,	PUNCT
fis-1254	130	35	and	and	CCONJ
fis-1254	130	36	are	be	AUX
fis-1254	130	37	underlined	underline	VERB
fis-1254	130	38	in	in	ADP
fis-1254	130	39	the	the	DET
fis-1254	130	40	equations	equation	NOUN
fis-1254	130	41	,	,	PUNCT
fis-1254	130	42	and	and	CCONJ
fis-1254	130	43	by	by	ADP
fis-1254	130	44	parameters	parameter	NOUN
fis-1254	130	45	which	which	PRON
fis-1254	130	46	depend	depend	VERB
fis-1254	130	47	on	on	ADP
fis-1254	130	48	the	the	DET
fis-1254	130	49	elastic	elastic	ADJ
fis-1254	130	50	constants	constant	NOUN
fis-1254	130	51	of	of	ADP
fis-1254	130	52	the	the	DET
fis-1254	130	53	material	material	NOUN
fis-1254	130	54	,	,	PUNCT
fis-1254	130	55	the	the	DET
fis-1254	130	56	layup	layup	NOUN
fis-1254	130	57	and	and	CCONJ
fis-1254	130	58	the	the	DET
fis-1254	130	59	geometry	geometry	NOUN
fis-1254	130	60	(	(	PUNCT
fis-1254	130	61	no	no	DET
fis-1254	130	62	line	line	NOUN
fis-1254	130	63	)	)	PUNCT
fis-1254	130	64	and	and	CCONJ
fis-1254	130	65	parameters	parameter	NOUN
fis-1254	130	66	depending	depend	VERB
fis-1254	130	67	on	on	ADP
fis-1254	130	68	the	the	DET
fis-1254	130	69	properties	property	NOUN
fis-1254	130	70	of	of	ADP
fis-1254	130	71	the	the	DET
fis-1254	130	72	interfaces	interface	NOUN
fis-1254	130	73	through	through	ADP
fis-1254	130	74	the	the	DET
fis-1254	130	75	assumed	assumed	ADJ
fis-1254	130	76	interfacial	interfacial	ADJ
fis-1254	130	77	traction	traction	NOUN
fis-1254	130	78	laws	law	NOUN
fis-1254	130	79	(	(	PUNCT
fis-1254	130	80	curved	curved	ADJ
fis-1254	130	81	line	line	NOUN
fis-1254	130	82	on	on	ADP
fis-1254	130	83	top	top	NOUN
fis-1254	130	84	)	)	PUNCT
fis-1254	130	85	.	.	PUNCT
fis-1254	131	1	for	for	ADP
fis-1254	131	2	perfectly	perfectly	ADV
fis-1254	131	3	bonded	bond	VERB
fis-1254	131	4	layers	layer	NOUN
fis-1254	131	5	,	,	PUNCT
fis-1254	131	6	when	when	SCONJ
fis-1254	131	7	k	k	PROPN
fis-1254	131	8	sb	sb	PROPN
fis-1254	131	9	0	0	PROPN
fis-1254	131	10	for	for	ADP
fis-1254	131	11	k	k	PROPN
fis-1254	131	12	=	=	SYM
fis-1254	131	13	1	1	NUM
fis-1254	131	14	..	..	PUNCT
fis-1254	131	15	n-1	n-1	NUM
fis-1254	131	16	,	,	PUNCT
fis-1254	131	17	all	all	DET
fis-1254	131	18	terms	term	NOUN
fis-1254	131	19	with	with	ADP
fis-1254	131	20	the	the	DET
fis-1254	131	21	curved	curved	ADJ
fis-1254	131	22	line	line	NOUN
fis-1254	131	23	on	on	ADP
fis-1254	131	24	top	top	ADJ
fis-1254	131	25	vanish	vanish	NOUN
fis-1254	131	26	and	and	CCONJ
fis-1254	131	27	the	the	DET
fis-1254	131	28	equations	equation	NOUN
fis-1254	131	29	are	be	AUX
fis-1254	131	30	those	those	PRON
fis-1254	131	31	of	of	ADP
fis-1254	131	32	first	first	ADJ
fis-1254	131	33	order	order	NOUN
fis-1254	131	34	zig	zig	VERB
fis-1254	131	35	-	-	PUNCT
fis-1254	131	36	zag	zag	NOUN
fis-1254	131	37	theory	theory	NOUN
fis-1254	131	38	[	[	X
fis-1254	131	39	9,10	9,10	NUM
fis-1254	131	40	]	]	X
fis-1254	131	41	.	.	PUNCT
fis-1254	132	1	the	the	DET
fis-1254	132	2	strain	strain	NOUN
fis-1254	132	3	components	component	NOUN
fis-1254	132	4	in	in	ADP
fis-1254	132	5	the	the	DET
fis-1254	132	6	layer	layer	NOUN
fis-1254	132	7	k	k	X
fis-1254	132	8	in	in	ADP
fis-1254	132	9	terms	term	NOUN
fis-1254	132	10	of	of	ADP
fis-1254	132	11	the	the	DET
fis-1254	132	12	homogenized	homogenized	ADJ
fis-1254	132	13	displacement	displacement	ADJ
fis-1254	132	14	variables	variable	NOUN
fis-1254	132	15	are	be	AUX
fis-1254	132	16	:	:	PUNCT
fis-1254	132	17			NOUN
fis-1254	132	18			PUNCT
fis-1254	132	19			NOUN
fis-1254	132	20			NOUN
fis-1254	133	1			PUNCT
fis-1254	133	2			NOUN
fis-1254	133	3			PUNCT
fis-1254	133	4			NOUN
fis-1254	133	5			PUNCT
fis-1254	133	6	1	1	NUM
fis-1254	133	7	1	1	NUM
fis-1254	133	8	23	23	NUM
fis-1254	133	9	0	0	NUM
fis-1254	133	10	2	2	NUM
fis-1254	133	11	2	2	NUM
fis-1254	133	12	22	22	NUM
fis-1254	133	13	3	3	NUM
fis-1254	133	14	0	0	NUM
fis-1254	133	15	2	2	NUM
fis-1254	133	16	2	2	NUM
fis-1254	133	17	22	22	NUM
fis-1254	133	18	1	1	NUM
fis-1254	133	19	2	2	NUM
fis-1254	133	20	1	1	NUM
fis-1254	133	21	1	1	NUM
fis-1254	133	22	;	;	PUNCT
fis-1254	133	23	,	,	PUNCT
fis-1254	133	24	,	,	PUNCT
fis-1254	133	25	,	,	PUNCT
fis-1254	133	26	k	k	PROPN
fis-1254	133	27	k	k	PROPN
fis-1254	133	28	ik	ik	PROPN
fis-1254	133	29	s	s	PROPN
fis-1254	133	30	i	i	NOUN
fis-1254	133	31	w	w	NOUN
fis-1254	133	32	r	r	NOUN
fis-1254	133	33	w	w	NOUN
fis-1254	133	34			ADJ
fis-1254	133	35			PROPN
fis-1254	133	36			NOUN
fis-1254	134	1			PROPN
fis-1254	134	2			NOUN
fis-1254	134	3			PROPN
fis-1254	134	4			PROPN
fis-1254	134	5			ADV
fis-1254	134	6			PUNCT
fis-1254	134	7			PROPN
fis-1254	134	8			ADV
fis-1254	134	9			X
fis-1254	134	10			NUM
fis-1254	134	11			PROPN
fis-1254	134	12			PROPN
fis-1254	134	13			NOUN
fis-1254	134	14			X
fis-1254	134	15	(	(	PUNCT
fis-1254	134	16	14a	14a	NOUN
fis-1254	134	17	)	)	PUNCT
fis-1254	134	18			NOUN
fis-1254	134	19			PROPN
fis-1254	134	20	22	22	NUM
fis-1254	134	21	02	02	NUM
fis-1254	134	22	2	2	NUM
fis-1254	134	23	2	2	NUM
fis-1254	134	24	2	2	NUM
fis-1254	134	25	3	3	NUM
fis-1254	134	26	2	2	NUM
fis-1254	134	27	2	2	NUM
fis-1254	134	28	0	0	NUM
fis-1254	134	29	22	22	NUM
fis-1254	134	30	22	22	NUM
fis-1254	134	31	,	,	PUNCT
fis-1254	134	32	,	,	PUNCT
fis-1254	134	33	,	,	PUNCT
fis-1254	134	34	,	,	PUNCT
fis-1254	134	35	(	(	PUNCT
fis-1254	134	36	)	)	PUNCT
fis-1254	134	37	k	k	PROPN
fis-1254	134	38	k	k	PROPN
fis-1254	134	39	sv	sv	PROPN
fis-1254	134	40	x	x	X
fis-1254	134	41	w	w	PROPN
fis-1254	134	42	r	r	PROPN
fis-1254	135	1			PROPN
fis-1254	135	2			NOUN
fis-1254	135	3			PROPN
fis-1254	135	4			PROPN
fis-1254	135	5			X
fis-1254	135	6	(	(	PUNCT
fis-1254	135	7	14b	14b	NUM
fis-1254	135	8	)	)	PUNCT
fis-1254	135	9	the	the	DET
fis-1254	135	10	interfacial	interfacial	ADJ
fis-1254	135	11	tractions	traction	NOUN
fis-1254	135	12	at	at	ADP
fis-1254	135	13	the	the	DET
fis-1254	135	14	(	(	PUNCT
fis-1254	135	15	)	)	PUNCT
fis-1254	135	16	k	k	PROPN
fis-1254	135	17	s	s	ADJ
fis-1254	135	18	interface	interface	NOUN
fis-1254	135	19	at	at	ADP
fis-1254	135	20	the	the	DET
fis-1254	135	21	coordinate	coordinate	NOUN
fis-1254	135	22	3	3	NUM
fis-1254	135	23	kx	kx	PROPN
fis-1254	135	24	,	,	PUNCT
fis-1254	135	25	in	in	ADP
fis-1254	135	26	terms	term	NOUN
fis-1254	135	27	of	of	ADP
fis-1254	135	28	the	the	DET
fis-1254	135	29	homogenized	homogenized	ADJ
fis-1254	135	30	displacements	displacement	NOUN
fis-1254	135	31	are	be	AUX
fis-1254	135	32	:	:	PUNCT
fis-1254	135	33			NOUN
fis-1254	135	34	23	23	NOUN
fis-1254	135	35	0	0	NUM
fis-1254	135	36	2	2	NUM
fis-1254	135	37	2	2	NUM
fis-1254	135	38	22	22	NUM
fis-1254	135	39	,	,	PUNCT
fis-1254	135	40	ˆ	ˆ	PROPN
fis-1254	135	41	ˆk	ˆk	PROPN
fis-1254	135	42	k	k	PROPN
fis-1254	136	1	k	k	PROPN
fis-1254	137	1	k	k	PROPN
fis-1254	137	2	s	s	X
fis-1254	137	3	sk	sk	PROPN
fis-1254	137	4	w	w	NOUN
fis-1254	137	5			PROPN
fis-1254	137	6			NOUN
fis-1254	138	1			PROPN
fis-1254	138	2			PROPN
fis-1254	138	3			PROPN
fis-1254	138	4	(	(	PUNCT
fis-1254	138	5	15	15	NUM
fis-1254	138	6	)	)	PUNCT
fis-1254	138	7	equilibrium	equilibrium	NOUN
fis-1254	138	8	equations	equation	NOUN
fis-1254	138	9	equilibrium	equilibrium	NOUN
fis-1254	138	10	equations	equation	NOUN
fis-1254	138	11	and	and	CCONJ
fis-1254	138	12	boundary	boundary	ADJ
fis-1254	138	13	conditions	condition	NOUN
fis-1254	138	14	are	be	AUX
fis-1254	138	15	derived	derive	VERB
fis-1254	138	16	in	in	ADP
fis-1254	138	17	weak	weak	ADJ
fis-1254	138	18	form	form	NOUN
fis-1254	138	19	through	through	ADP
fis-1254	138	20	the	the	DET
fis-1254	138	21	principle	principle	NOUN
fis-1254	138	22	of	of	ADP
fis-1254	138	23	virtual	virtual	ADJ
fis-1254	138	24	works	work	NOUN
fis-1254	138	25	:	:	PUNCT
fis-1254	138	26			NOUN
fis-1254	138	27			SYM
fis-1254	138	28			NOUN
fis-1254	138	29			PROPN
fis-1254	138	30	1	1	NUM
fis-1254	138	31	22	22	NUM
fis-1254	138	32	22	22	NUM
fis-1254	138	33	23	23	NUM
fis-1254	138	34	23	23	NUM
fis-1254	138	35	2	2	NUM
fis-1254	138	36	3	3	NUM
fis-1254	138	37	3	3	NUM
fis-1254	138	38	3	3	NUM
fis-1254	138	39	3	3	NUM
fis-1254	138	40	1	1	NUM
fis-1254	138	41	2	2	NUM
fis-1254	138	42	0	0	NUM
fis-1254	138	43			NOUN
fis-1254	138	44			PROPN
fis-1254	138	45			NOUN
fis-1254	138	46			PROPN
fis-1254	139	1			NUM
fis-1254	139	2			NUM
fis-1254	139	3			NUM
fis-1254	139	4			NUM
fis-1254	139	5			ADJ
fis-1254	139	6			PUNCT
fis-1254	139	7			PROPN
fis-1254	139	8			PROPN
fis-1254	139	9			VERB
fis-1254	139	10			PROPN
fis-1254	139	11			PROPN
fis-1254	139	12			PROPN
fis-1254	139	13			PUNCT
fis-1254	139	14			PUNCT
fis-1254	139	15			PROPN
fis-1254	139	16			PROPN
fis-1254	139	17			PROPN
fis-1254	139	18			PUNCT
fis-1254	139	19			X
fis-1254	139	20			X
fis-1254	139	21			X
fis-1254	139	22			PUNCT
fis-1254	140	1			NUM
fis-1254	140	2	v	v	NOUN
fis-1254	140	3	s	s	NOUN
fis-1254	140	4	s	s	NOUN
fis-1254	140	5	s	s	X
fis-1254	140	6	b	b	NOUN
fis-1254	140	7	(	(	PUNCT
fis-1254	140	8	)	)	PUNCT
fis-1254	140	9	ˆ	ˆ	NOUN
fis-1254	140	10	ˆ	ˆ	ADV
fis-1254	140	11	k	k	PROPN
fis-1254	140	12	n	n	ADV
fis-1254	140	13	k	k	PROPN
fis-1254	141	1	k	k	PROPN
fis-1254	142	1	k	k	PROPN
fis-1254	142	2	s	s	PROPN
fis-1254	142	3	s	s	AUX
fis-1254	142	4	b	b	X
fis-1254	142	5	s	s	X
fis-1254	142	6	s	s	X
fis-1254	142	7	i	i	PRON
fis-1254	143	1	i	i	PRON
fis-1254	144	1	k	k	PROPN
fis-1254	144	2	dv	dv	PROPN
fis-1254	144	3	t	t	PROPN
fis-1254	144	4	v	v	NUM
fis-1254	144	5	ds	ds	PROPN
fis-1254	144	6	f	f	PROPN
fis-1254	144	7	v	v	INTJ
fis-1254	144	8	ds	ds	PROPN
fis-1254	144	9	f	f	NOUN
fis-1254	144	10	v	v	INTJ
fis-1254	145	1	ds	ds	PROPN
fis-1254	146	1	f	f	PROPN
fis-1254	147	1	v	v	INTJ
fis-1254	147	2	db	db	PROPN
fis-1254	147	3	(	(	PUNCT
fis-1254	147	4	16	16	NUM
fis-1254	147	5	)	)	PUNCT
fis-1254	147	6	where	where	SCONJ
fis-1254	147	7	v	v	NOUN
fis-1254	147	8	is	be	AUX
fis-1254	147	9	the	the	DET
fis-1254	147	10	volume	volume	NOUN
fis-1254	147	11	of	of	ADP
fis-1254	147	12	the	the	DET
fis-1254	147	13	plate	plate	NOUN
fis-1254	147	14	and	and	CCONJ
fis-1254	147	15	i	i	NOUN
fis-1254	147	16	=	=	PUNCT
fis-1254	147	17	2,3	2,3	NUM
fis-1254	147	18	;	;	PUNCT
fis-1254	147	19	the	the	DET
fis-1254	147	20	virtual	virtual	ADJ
fis-1254	147	21	displacements	displacement	NOUN
fis-1254	147	22	are	be	AUX
fis-1254	147	23	assumed	assume	VERB
fis-1254	147	24	to	to	PART
fis-1254	147	25	be	be	AUX
fis-1254	147	26	independent	independent	ADJ
fis-1254	147	27	and	and	CCONJ
fis-1254	147	28	arbitrary	arbitrary	ADJ
fis-1254	147	29	and	and	CCONJ
fis-1254	147	30	to	to	PART
fis-1254	147	31	satisfy	satisfy	VERB
fis-1254	147	32	compatibility	compatibility	NOUN
fis-1254	147	33	conditions	condition	NOUN
fis-1254	147	34	.	.	PUNCT
fis-1254	148	1	the	the	DET
fis-1254	148	2	first	first	ADJ
fis-1254	148	3	term	term	NOUN
fis-1254	148	4	on	on	ADP
fis-1254	148	5	the	the	DET
fis-1254	148	6	left	left	ADJ
fis-1254	148	7	hand	hand	NOUN
fis-1254	148	8	side	side	NOUN
fis-1254	148	9	defines	define	VERB
fis-1254	148	10	the	the	DET
fis-1254	148	11	strain	strain	ADJ
fis-1254	148	12	energy	energy	NOUN
fis-1254	148	13	in	in	ADP
fis-1254	148	14	the	the	DET
fis-1254	148	15	volume	volume	NOUN
fis-1254	148	16	of	of	ADP
fis-1254	148	17	the	the	DET
fis-1254	148	18	body	body	NOUN
fis-1254	148	19	;	;	PUNCT
fis-1254	148	20	the	the	DET
fis-1254	148	21	second	second	ADJ
fis-1254	148	22	term	term	NOUN
fis-1254	148	23	,	,	PUNCT
fis-1254	148	24	with	with	ADP
fis-1254	148	25	the	the	DET
fis-1254	148	26	flat	flat	ADJ
fis-1254	148	27	line	line	NOUN
fis-1254	148	28	on	on	ADP
fis-1254	148	29	top	top	NOUN
fis-1254	148	30	,	,	PUNCT
fis-1254	148	31	the	the	DET
fis-1254	148	32	energy	energy	NOUN
fis-1254	148	33	contributions	contribution	NOUN
fis-1254	148	34	due	due	ADP
fis-1254	148	35	to	to	ADP
fis-1254	148	36	the	the	DET
fis-1254	148	37	interfacial	interfacial	ADJ
fis-1254	148	38	tractions	traction	NOUN
fis-1254	148	39	on	on	ADP
fis-1254	148	40	the	the	DET
fis-1254	148	41	n-1	n-1	ADJ
fis-1254	148	42	interfaces	interface	NOUN
fis-1254	148	43	.	.	PUNCT
fis-1254	149	1	the	the	DET
fis-1254	149	2	last	last	ADJ
fis-1254	149	3	terms	term	NOUN
fis-1254	149	4	define	define	VERB
fis-1254	149	5	the	the	DET
fis-1254	149	6	work	work	NOUN
fis-1254	149	7	done	do	VERB
fis-1254	149	8	by	by	ADP
fis-1254	149	9	the	the	DET
fis-1254	149	10	external	external	ADJ
fis-1254	149	11	forces	force	NOUN
fis-1254	149	12	,	,	PUNCT
fis-1254	149	13	with	with	ADP
fis-1254	149	14	3	3	NUM
fis-1254	149	15	sf	sf	PROPN
fis-1254	149	16			X
fis-1254	149	17	(	(	PUNCT
fis-1254	149	18	top	top	NOUN
fis-1254	149	19	)	)	PUNCT
fis-1254	149	20	,	,	PUNCT
fis-1254	149	21	3	3	NUM
fis-1254	149	22	sf	sf	PROPN
fis-1254	149	23			PROPN
fis-1254	149	24	(	(	PUNCT
fis-1254	149	25	bottom	bottom	NOUN
fis-1254	149	26	)	)	PUNCT
fis-1254	149	27	and	and	CCONJ
fis-1254	149	28	b	b	NOUN
fis-1254	149	29	if	if	SCONJ
fis-1254	149	30	(	(	PUNCT
fis-1254	149	31	lateral	lateral	ADJ
fis-1254	149	32	)	)	PUNCT
fis-1254	149	33	the	the	DET
fis-1254	149	34	components	component	NOUN
fis-1254	149	35	of	of	ADP
fis-1254	149	36	the	the	DET
fis-1254	149	37	forces	force	NOUN
fis-1254	149	38	acting	act	VERB
fis-1254	149	39	along	along	ADP
fis-1254	149	40	the	the	DET
fis-1254	149	41	bounding	bounding	NOUN
fis-1254	149	42	surfaces	surface	NOUN
fis-1254	149	43	of	of	ADP
fis-1254	149	44	the	the	DET
fis-1254	149	45	plate	plate	NOUN
fis-1254	149	46	,	,	PUNCT
fis-1254	149	47	s	s	ADJ
fis-1254	149	48	,	,	PUNCT
fis-1254	149	49	s		NOUN
fis-1254	149	50	and	and	CCONJ
fis-1254	149	51	b	b	NOUN
fis-1254	149	52	.	.	PUNCT
fis-1254	150	1	tangential	tangential	ADJ
fis-1254	150	2	forces	force	NOUN
fis-1254	150	3	acting	act	VERB
fis-1254	150	4	on	on	ADP
fis-1254	150	5	s	s	ADJ
fis-1254	150	6	and	and	CCONJ
fis-1254	150	7	s		NOUN
fis-1254	150	8	have	have	AUX
fis-1254	150	9	been	be	AUX
fis-1254	150	10	assumed	assume	VERB
fis-1254	150	11	to	to	PART
fis-1254	150	12	be	be	AUX
fis-1254	150	13	zero	zero	NUM
fis-1254	150	14	(	(	PUNCT
fis-1254	150	15	refer	refer	VERB
fis-1254	150	16	to	to	ADP
fis-1254	150	17	[	[	X
fis-1254	150	18	18,19	18,19	X
fis-1254	150	19	]	]	PUNCT
fis-1254	150	20	for	for	ADP
fis-1254	150	21	more	more	ADJ
fis-1254	150	22	general	general	ADJ
fis-1254	150	23	loading	loading	NOUN
fis-1254	150	24	conditions	condition	NOUN
fis-1254	150	25	)	)	PUNCT
fis-1254	150	26	.	.	PUNCT
fis-1254	151	1	the	the	DET
fis-1254	151	2	term	term	NOUN
fis-1254	151	3	related	relate	VERB
fis-1254	151	4	to	to	ADP
fis-1254	151	5	the	the	DET
fis-1254	151	6	interfacial	interfacial	ADJ
fis-1254	151	7	tractions	traction	NOUN
fis-1254	151	8	was	be	AUX
fis-1254	151	9	not	not	PART
fis-1254	151	10	present	present	ADJ
fis-1254	151	11	in	in	ADP
fis-1254	151	12	the	the	DET
fis-1254	151	13	models	model	NOUN
fis-1254	151	14	where	where	SCONJ
fis-1254	151	15	this	this	DET
fis-1254	151	16	approach	approach	NOUN
fis-1254	151	17	was	be	AUX
fis-1254	151	18	first	first	ADV
fis-1254	151	19	proposed	propose	VERB
fis-1254	151	20	for	for	ADP
fis-1254	151	21	plates	plate	NOUN
fis-1254	151	22	with	with	ADP
fis-1254	151	23	linear	linear	ADJ
fis-1254	151	24	-	-	PUNCT
fis-1254	151	25	elastic	elastic	ADJ
fis-1254	151	26	interfaces	interface	NOUN
fis-1254	151	27	[	[	PUNCT
fis-1254	151	28	11	11	NUM
fis-1254	151	29	-	-	SYM
fis-1254	151	30	14	14	NUM
fis-1254	151	31	]	]	PUNCT
fis-1254	151	32	.	.	PUNCT
fis-1254	152	1	the	the	DET
fis-1254	152	2	terms	term	NOUN
fis-1254	152	3	were	be	AUX
fis-1254	152	4	also	also	ADV
fis-1254	152	5	missing	miss	VERB
fis-1254	152	6	in	in	ADP
fis-1254	152	7	all	all	DET
fis-1254	152	8	subsequent	subsequent	ADJ
fis-1254	152	9	models	model	NOUN
fis-1254	152	10	which	which	PRON
fis-1254	152	11	extended	extend	VERB
fis-1254	152	12	the	the	DET
fis-1254	152	13	theories	theory	NOUN
fis-1254	152	14	to	to	ADP
fis-1254	152	15	different	different	ADJ
fis-1254	152	16	problems	problem	NOUN
fis-1254	152	17	(	(	PUNCT
fis-1254	152	18	see	see	VERB
fis-1254	152	19	list	list	NOUN
fis-1254	152	20	in	in	ADP
fis-1254	152	21	[	[	X
fis-1254	152	22	18	18	NUM
fis-1254	152	23	]	]	NUM
fis-1254	152	24	)	)	PUNCT
fis-1254	152	25	.	.	PUNCT
fis-1254	153	1	it	it	PRON
fis-1254	153	2	has	have	AUX
fis-1254	153	3	been	be	AUX
fis-1254	153	4	recently	recently	ADV
fis-1254	153	5	proved	prove	VERB
fis-1254	153	6	in	in	ADP
fis-1254	153	7	[	[	X
fis-1254	153	8	18	18	NUM
fis-1254	153	9	]	]	PUNCT
fis-1254	153	10	that	that	SCONJ
fis-1254	153	11	,	,	PUNCT
fis-1254	153	12	in	in	ADP
fis-1254	153	13	the	the	DET
fis-1254	153	14	absence	absence	NOUN
fis-1254	153	15	of	of	ADP
fis-1254	153	16	these	these	DET
fis-1254	153	17	terms	term	NOUN
fis-1254	153	18	,	,	PUNCT
fis-1254	153	19	the	the	DET
fis-1254	153	20	solutions	solution	NOUN
fis-1254	153	21	are	be	AUX
fis-1254	153	22	accurate	accurate	ADJ
fis-1254	153	23	only	only	ADV
fis-1254	153	24	in	in	ADP
fis-1254	153	25	the	the	DET
fis-1254	153	26	limiting	limit	VERB
fis-1254	153	27	cases	case	NOUN
fis-1254	153	28	of	of	ADP
fis-1254	153	29	fully	fully	ADV
fis-1254	153	30	bonded	bond	VERB
fis-1254	153	31	and	and	CCONJ
fis-1254	153	32	fully	fully	ADV
fis-1254	153	33	debonded	debonde	VERB
fis-1254	153	34	interfaces	interface	NOUN
fis-1254	153	35	.	.	PUNCT
fis-1254	154	1	virtual	virtual	ADJ
fis-1254	154	2	strains	strain	NOUN
fis-1254	154	3	and	and	CCONJ
fis-1254	154	4	displacements	displacement	NOUN
fis-1254	154	5	in	in	ADP
fis-1254	154	6	eq	eq	ADP
fis-1254	154	7	.	.	PUNCT
fis-1254	155	1	(	(	PUNCT
fis-1254	155	2	16	16	NUM
fis-1254	155	3	)	)	PUNCT
fis-1254	155	4	are	be	AUX
fis-1254	155	5	defined	define	VERB
fis-1254	155	6	as	as	ADP
fis-1254	155	7	functions	function	NOUN
fis-1254	155	8	of	of	ADP
fis-1254	155	9	the	the	DET
fis-1254	155	10	global	global	ADJ
fis-1254	155	11	displacement	displacement	NOUN
fis-1254	155	12	variables	variable	NOUN
fis-1254	155	13	using	use	VERB
fis-1254	155	14	eq	eq	ADP
fis-1254	155	15	.	.	PUNCT
fis-1254	156	1	(	(	PUNCT
fis-1254	156	2	10	10	NUM
fis-1254	156	3	)	)	PUNCT
fis-1254	156	4	,	,	PUNCT
fis-1254	156	5	(	(	PUNCT
fis-1254	156	6	12	12	NUM
fis-1254	156	7	)	)	PUNCT
fis-1254	156	8	and	and	CCONJ
fis-1254	156	9	(	(	PUNCT
fis-1254	156	10	14	14	NUM
fis-1254	156	11	)	)	PUNCT
fis-1254	156	12	.	.	PUNCT
fis-1254	157	1	then	then	ADV
fis-1254	157	2	,	,	PUNCT
fis-1254	157	3	by	by	ADP
fis-1254	157	4	applying	apply	VERB
fis-1254	157	5	green	green	PROPN
fis-1254	157	6	’s	’s	PART
fis-1254	157	7	theorem	theorem	ADJ
fis-1254	157	8	wherever	wherever	SCONJ
fis-1254	157	9	possible	possible	ADJ
fis-1254	157	10	and	and	CCONJ
fis-1254	157	11	after	after	ADP
fis-1254	157	12	lengthy	lengthy	ADJ
fis-1254	157	13	calculations	calculation	NOUN
fis-1254	157	14	,	,	PUNCT
fis-1254	157	15	eq	eq	NOUN
fis-1254	157	16	.	.	PUNCT
fis-1254	158	1	(	(	PUNCT
fis-1254	158	2	16	16	NUM
fis-1254	158	3	)	)	PUNCT
fis-1254	158	4	yields	yield	VERB
fis-1254	158	5	the	the	DET
fis-1254	158	6	equilibrium	equilibrium	NOUN
fis-1254	158	7	equations	equation	NOUN
fis-1254	158	8	and	and	CCONJ
fis-1254	158	9	boundary	boundary	ADJ
fis-1254	158	10	conditions	condition	NOUN
fis-1254	158	11	.	.	PUNCT
fis-1254	159	1	dynamic	dynamic	ADJ
fis-1254	159	2	equilibrium	equilibrium	NOUN
fis-1254	159	3	equations	equation	NOUN
fis-1254	159	4	and	and	CCONJ
fis-1254	159	5	boundary	boundary	ADJ
fis-1254	159	6	conditions	condition	NOUN
fis-1254	159	7	for	for	ADP
fis-1254	159	8	multilayered	multilayered	ADJ
fis-1254	159	9	r	r	NOUN
fis-1254	159	10	massabò	massabò	PROPN
fis-1254	159	11	,	,	PUNCT
fis-1254	159	12	frattura	frattura	PROPN
fis-1254	159	13	ed	ed	PROPN
fis-1254	159	14	integrità	integrità	PROPN
fis-1254	159	15	strutturale	strutturale	PROPN
fis-1254	159	16	,	,	PUNCT
fis-1254	159	17	29	29	NUM
fis-1254	159	18	(	(	PUNCT
fis-1254	159	19	2014	2014	NUM
fis-1254	159	20	)	)	PUNCT
fis-1254	159	21	230	230	NUM
fis-1254	159	22	-	-	SYM
fis-1254	159	23	240	240	NUM
fis-1254	159	24	;	;	PUNCT
fis-1254	159	25	doi	doi	NOUN
fis-1254	159	26	:	:	PUNCT
fis-1254	159	27	10.3221	10.3221	NUM
fis-1254	159	28	/	/	SYM
fis-1254	159	29	igf	igf	PROPN
fis-1254	159	30	-	-	ADJ
fis-1254	159	31	esis.29.20	esis.29.20	NOUN
fis-1254	159	32	235	235	NUM
fis-1254	159	33	plates	plate	NOUN
fis-1254	159	34	with	with	ADP
fis-1254	159	35	arbitrary	arbitrary	ADJ
fis-1254	159	36	stacking	stacking	NOUN
fis-1254	159	37	sequences	sequence	NOUN
fis-1254	159	38	,	,	PUNCT
fis-1254	159	39	mixed	mixed	ADJ
fis-1254	159	40	mode	mode	NOUN
fis-1254	159	41	interfaces	interface	NOUN
fis-1254	159	42	and	and	CCONJ
fis-1254	159	43	under	under	ADP
fis-1254	159	44	arbitrary	arbitrary	ADJ
fis-1254	159	45	loadings	loading	NOUN
fis-1254	159	46	have	have	AUX
fis-1254	159	47	been	be	AUX
fis-1254	159	48	derived	derive	VERB
fis-1254	159	49	in	in	ADP
fis-1254	159	50	[	[	X
fis-1254	159	51	18	18	NUM
fis-1254	159	52	]	]	X
fis-1254	159	53	;	;	PUNCT
fis-1254	159	54	a	a	DET
fis-1254	159	55	particularization	particularization	NOUN
fis-1254	159	56	of	of	ADP
fis-1254	159	57	the	the	DET
fis-1254	159	58	equations	equation	NOUN
fis-1254	159	59	to	to	PART
fis-1254	159	60	plates	plate	NOUN
fis-1254	159	61	deforming	deform	VERB
fis-1254	159	62	in	in	ADP
fis-1254	159	63	cylindrical	cylindrical	ADJ
fis-1254	159	64	bending	bending	NOUN
fis-1254	159	65	have	have	AUX
fis-1254	159	66	been	be	AUX
fis-1254	159	67	presented	present	VERB
fis-1254	159	68	in	in	ADP
fis-1254	159	69	[	[	X
fis-1254	159	70	19	19	NUM
fis-1254	159	71	]	]	PUNCT
fis-1254	159	72	.	.	PUNCT
fis-1254	160	1	the	the	DET
fis-1254	160	2	equilibrium	equilibrium	NOUN
fis-1254	160	3	equations	equation	NOUN
fis-1254	160	4	for	for	ADP
fis-1254	160	5	wide	wide	ADJ
fis-1254	160	6	plates	plate	NOUN
fis-1254	160	7	with	with	ADP
fis-1254	160	8	sliding	slide	VERB
fis-1254	160	9	only	only	ADJ
fis-1254	160	10	interfaces	interface	NOUN
fis-1254	160	11	and	and	CCONJ
fis-1254	160	12	quasi	quasi	ADJ
fis-1254	160	13	-	-	ADJ
fis-1254	160	14	static	static	ADJ
fis-1254	160	15	loading	loading	NOUN
fis-1254	160	16	with	with	ADP
fis-1254	160	17	2	2	NUM
fis-1254	160	18	0	0	NUM
fis-1254	160	19			ADJ
fis-1254	160	20	,s	,s	PUNCT
fis-1254	160	21	sf	sf	NOUN
fis-1254	160	22	are	be	AUX
fis-1254	160	23	presented	present	VERB
fis-1254	160	24	here	here	ADV
fis-1254	160	25	in	in	ADP
fis-1254	160	26	a	a	DET
fis-1254	160	27	form	form	NOUN
fis-1254	160	28	that	that	PRON
fis-1254	160	29	highlights	highlight	NOUN
fis-1254	160	30	similarities	similarity	NOUN
fis-1254	160	31	and	and	CCONJ
fis-1254	160	32	differences	difference	NOUN
fis-1254	160	33	with	with	ADP
fis-1254	160	34	respect	respect	NOUN
fis-1254	160	35	to	to	ADP
fis-1254	160	36	single	single	ADJ
fis-1254	160	37	-	-	PUNCT
fis-1254	160	38	layer	layer	NOUN
fis-1254	160	39	theory	theory	NOUN
fis-1254	160	40	:	:	PUNCT
fis-1254	160	41	02	02	NUM
fis-1254	160	42	:	:	PUNCT
fis-1254	160	43	v	v	NOUN
fis-1254	160	44	22	22	NUM
fis-1254	160	45	2	2	NUM
fis-1254	160	46	0,n	0,n	NUM
fis-1254	160	47	(	(	PUNCT
fis-1254	160	48	17a	17a	X
fis-1254	160	49	)	)	PUNCT
fis-1254	160	50	2	2	NUM
fis-1254	160	51	:	:	SYM
fis-1254	160	52	22	22	NUM
fis-1254	160	53	2	2	NUM
fis-1254	160	54	2	2	NUM
fis-1254	160	55	0	0	NUM
fis-1254	160	56			PROPN
fis-1254	160	57	,	,	PUNCT
fis-1254	160	58	b	b	PROPN
fis-1254	160	59	gm	gm	PROPN
fis-1254	160	60	q	q	PROPN
fis-1254	160	61	(	(	PUNCT
fis-1254	160	62	17b	17b	NUM
fis-1254	160	63	)	)	PUNCT
fis-1254	160	64	0	0	NUM
fis-1254	160	65	:	:	PUNCT
fis-1254	160	66	w	w	NOUN
fis-1254	160	67	2	2	NUM
fis-1254	160	68	2	2	NUM
fis-1254	160	69	3	3	NUM
fis-1254	160	70	3	3	NUM
fis-1254	160	71	0	0	NOUN
fis-1254	160	72			PROPN
fis-1254	160	73			X
fis-1254	160	74			PROPN
fis-1254	160	75	,	,	PUNCT
fis-1254	160	76	s	s	NOUN
fis-1254	160	77	s	s	X
fis-1254	160	78	gq	gq	PROPN
fis-1254	160	79	f	f	PROPN
fis-1254	160	80	f	f	PROPN
fis-1254	160	81	(	(	PUNCT
fis-1254	160	82	17c	17c	NUM
fis-1254	160	83	)	)	PUNCT
fis-1254	160	84	where	where	SCONJ
fis-1254	160	85	22n	22n	NUM
fis-1254	160	86	and	and	CCONJ
fis-1254	160	87	22	22	NUM
fis-1254	160	88	bm	bm	NOUN
fis-1254	160	89	are	be	AUX
fis-1254	160	90	normal	normal	ADJ
fis-1254	160	91	force	force	NOUN
fis-1254	160	92	and	and	CCONJ
fis-1254	160	93	bending	bend	VERB
fis-1254	160	94	moment	moment	NOUN
fis-1254	160	95	in	in	ADP
fis-1254	160	96	the	the	DET
fis-1254	160	97	2x	2x	NUM
fis-1254	160	98	direction	direction	NOUN
fis-1254	160	99	and	and	CCONJ
fis-1254	160	100	2	2	NUM
fis-1254	160	101	gq	gq	NOUN
fis-1254	160	102	is	be	AUX
fis-1254	160	103	a	a	DET
fis-1254	160	104	generalized	generalized	ADJ
fis-1254	160	105	transverse	transverse	NOUN
fis-1254	160	106	shear	shear	NOUN
fis-1254	160	107	force	force	NOUN
fis-1254	160	108	which	which	PRON
fis-1254	160	109	is	be	AUX
fis-1254	160	110	statically	statically	ADV
fis-1254	160	111	equivalent	equivalent	ADJ
fis-1254	160	112	,	,	PUNCT
fis-1254	160	113	at	at	ADP
fis-1254	160	114	any	any	DET
fis-1254	160	115	arbitrary	arbitrary	ADJ
fis-1254	160	116	sections	section	NOUN
fis-1254	160	117	of	of	ADP
fis-1254	160	118	the	the	DET
fis-1254	160	119	plate	plate	NOUN
fis-1254	160	120	with	with	ADP
fis-1254	160	121	outward	outward	ADJ
fis-1254	160	122	normal	normal	ADJ
fis-1254	160	123	n	n	NOUN
fis-1254	160	124	=	=	SYM
fis-1254	160	125			NOUN
fis-1254	160	126	20	20	NOUN
fis-1254	160	127	1	1	NUM
fis-1254	160	128	0	0	NUM
fis-1254	160	129			PROPN
fis-1254	160	130	,	,	PUNCT
fis-1254	160	131	,	,	PUNCT
fis-1254	160	132	t	t	PROPN
fis-1254	160	133	n	n	CCONJ
fis-1254	160	134	,	,	PUNCT
fis-1254	160	135	to	to	ADP
fis-1254	160	136	the	the	DET
fis-1254	160	137	vertical	vertical	ADJ
fis-1254	160	138	equilibrant	equilibrant	NOUN
fis-1254	160	139	of	of	ADP
fis-1254	160	140	the	the	DET
fis-1254	160	141	external	external	ADJ
fis-1254	160	142	forces	force	NOUN
fis-1254	160	143	acting	act	VERB
fis-1254	160	144	on	on	ADP
fis-1254	160	145	the	the	DET
fis-1254	160	146	portion	portion	NOUN
fis-1254	160	147	of	of	ADP
fis-1254	160	148	the	the	DET
fis-1254	160	149	plate	plate	NOUN
fis-1254	160	150	to	to	ADP
fis-1254	160	151	the	the	DET
fis-1254	160	152	right	right	NOUN
fis-1254	160	153	of	of	ADP
fis-1254	160	154	the	the	DET
fis-1254	160	155	sections	section	NOUN
fis-1254	160	156	(	(	PUNCT
fis-1254	160	157	fig	fig	NOUN
fis-1254	160	158	.	.	PUNCT
fis-1254	161	1	1a	1a	NOUN
fis-1254	161	2	):	):	PUNCT
fis-1254	161	3			X
fis-1254	161	4	normal	normal	ADJ
fis-1254	161	5	force	force	NOUN
fis-1254	161	6	:	:	PUNCT
fis-1254	161	7			NOUN
fis-1254	161	8	3	3	ADJ
fis-1254	161	9	1	1	NUM
fis-1254	161	10	3	3	NUM
fis-1254	161	11	22	22	NUM
fis-1254	161	12	22	22	NUM
fis-1254	161	13	3	3	NUM
fis-1254	161	14	1	1	NUM
fis-1254	161	15			PROPN
fis-1254	161	16			NOUN
fis-1254	161	17			NUM
fis-1254	161	18			PUNCT
fis-1254	161	19	k	k	PROPN
fis-1254	161	20	k	k	PROPN
fis-1254	162	1	n	n	PROPN
fis-1254	162	2	x	x	SYM
fis-1254	162	3	k	k	NOUN
fis-1254	162	4	x	x	SYM
fis-1254	162	5	k	k	PROPN
fis-1254	162	6	n	n	PRON
fis-1254	162	7	dx	dx	PROPN
fis-1254	162	8	(	(	PUNCT
fis-1254	162	9	18a	18a	NOUN
fis-1254	162	10	)	)	PUNCT
fis-1254	162	11			NOUN
fis-1254	163	1	bending	bend	VERB
fis-1254	163	2	moment	moment	NOUN
fis-1254	163	3	:	:	PUNCT
fis-1254	163	4			NOUN
fis-1254	163	5	3	3	ADJ
fis-1254	163	6	1	1	NUM
fis-1254	163	7	3	3	NUM
fis-1254	163	8	22	22	NUM
fis-1254	163	9	22	22	NUM
fis-1254	163	10	3	3	NUM
fis-1254	163	11	3	3	NUM
fis-1254	163	12	1	1	NUM
fis-1254	163	13			PROPN
fis-1254	163	14			NOUN
fis-1254	163	15			NUM
fis-1254	163	16			PUNCT
fis-1254	163	17	k	k	PROPN
fis-1254	163	18	k	k	PROPN
fis-1254	164	1	n	n	PROPN
fis-1254	164	2	x	x	SYM
fis-1254	164	3	kb	kb	PROPN
fis-1254	164	4	x	x	X
fis-1254	165	1	k	k	NOUN
fis-1254	165	2	m	m	VERB
fis-1254	165	3	x	x	VERB
fis-1254	165	4	dx	dx	PROPN
fis-1254	165	5	(	(	PUNCT
fis-1254	165	6	18b	18b	NUM
fis-1254	165	7	)	)	PUNCT
fis-1254	165	8			NOUN
fis-1254	165	9	generalized	generalize	VERB
fis-1254	165	10	shear	shear	NOUN
fis-1254	165	11	force	force	NOUN
fis-1254	165	12	:	:	PUNCT
fis-1254	165	13			VERB
fis-1254	166	1	1	1	ADJ
fis-1254	166	2	2	2	NUM
fis-1254	166	3	2	2	NUM
fis-1254	166	4	2	2	NUM
fis-1254	166	5	22	22	NUM
fis-1254	166	6	2	2	NUM
fis-1254	166	7	22	22	NUM
fis-1254	166	8	2	2	NUM
fis-1254	166	9	2	2	NUM
fis-1254	166	10			PUNCT
fis-1254	166	11			PROPN
fis-1254	166	12			PROPN
fis-1254	166	13			NOUN
fis-1254	166	14	,	,	PUNCT
fis-1254	166	15	,	,	PUNCT
fis-1254	166	16	ˆb	ˆb	ADP
fis-1254	166	17	z	z	NOUN
fis-1254	166	18	z	z	PROPN
fis-1254	166	19	s	s	PROPN
fis-1254	166	20	gq	gq	PROPN
fis-1254	166	21	q	q	X
fis-1254	166	22	q	q	X
fis-1254	166	23	m	m	VERB
fis-1254	166	24	m	m	VERB
fis-1254	166	25	(	(	PUNCT
fis-1254	166	26	18c	18c	NUM
fis-1254	166	27	)	)	PUNCT
fis-1254	166	28	where	where	SCONJ
fis-1254	166	29			NOUN
fis-1254	166	30	transverse	transverse	ADJ
fis-1254	166	31	shear	shear	NOUN
fis-1254	166	32	force	force	NOUN
fis-1254	166	33	:	:	PUNCT
fis-1254	166	34			NOUN
fis-1254	166	35	3	3	ADJ
fis-1254	166	36	1	1	NUM
fis-1254	166	37	3	3	NUM
fis-1254	166	38	2	2	NUM
fis-1254	166	39	23	23	NUM
fis-1254	166	40	3	3	NUM
fis-1254	166	41	1	1	NUM
fis-1254	166	42	k	k	NOUN
fis-1254	166	43	k	k	PROPN
fis-1254	167	1	n	n	PROPN
fis-1254	167	2	x	x	SYM
fis-1254	167	3	kb	kb	PROPN
fis-1254	167	4	x	x	X
fis-1254	167	5	k	k	X
fis-1254	168	1	q	q	PUNCT
fis-1254	168	2	dx	dx	NOUN
fis-1254	168	3			NOUN
fis-1254	168	4			NUM
fis-1254	168	5			PROPN
fis-1254	168	6	(	(	PUNCT
fis-1254	168	7	18d	18d	NUM
fis-1254	168	8	)	)	PUNCT
fis-1254	168	9			PRON
fis-1254	168	10	gross	gross	ADJ
fis-1254	168	11	resultants	resultant	NOUN
fis-1254	168	12	and	and	CCONJ
fis-1254	168	13	couples	couple	NOUN
fis-1254	168	14	associated	associate	VERB
fis-1254	168	15	to	to	ADP
fis-1254	168	16	the	the	DET
fis-1254	168	17	multilayered	multilayered	ADJ
fis-1254	168	18	structure	structure	NOUN
fis-1254	168	19	:	:	PUNCT
fis-1254	168	20			NOUN
fis-1254	168	21			SYM
fis-1254	168	22			NOUN
fis-1254	168	23	3	3	ADJ
fis-1254	168	24	1	1	NUM
fis-1254	168	25	3	3	NUM
fis-1254	168	26	1	1	NUM
fis-1254	168	27	1	1	NUM
fis-1254	168	28	2	2	NUM
fis-1254	168	29	23	23	NUM
fis-1254	168	30	22	22	NUM
fis-1254	168	31	3	3	NUM
fis-1254	168	32	1	1	NUM
fis-1254	168	33	1	1	NUM
fis-1254	168	34			PROPN
fis-1254	168	35			PROPN
fis-1254	168	36			NOUN
fis-1254	168	37			PROPN
fis-1254	168	38			PRON
fis-1254	168	39			NUM
fis-1254	168	40			NOUN
fis-1254	168	41			NUM
fis-1254	168	42	;	;	PUNCT
fis-1254	168	43	,	,	PUNCT
fis-1254	168	44	k	k	PROPN
fis-1254	168	45	k	k	PROPN
fis-1254	169	1	n	n	CCONJ
fis-1254	170	1	kx	kx	PROPN
fis-1254	171	1	k	k	X
fis-1254	172	1	iz	iz	INTJ
fis-1254	172	2	x	x	X
fis-1254	172	3	k	k	NOUN
fis-1254	173	1	i	i	PRON
fis-1254	173	2	q	q	PROPN
fis-1254	173	3	dx	dx	PROPN
fis-1254	173	4			PROPN
fis-1254	173	5			PUNCT
fis-1254	173	6			NOUN
fis-1254	173	7			SYM
fis-1254	173	8			NOUN
fis-1254	173	9	3	3	ADJ
fis-1254	173	10	1	1	NUM
fis-1254	173	11	3	3	NUM
fis-1254	173	12	1	1	NUM
fis-1254	173	13	1	1	NUM
fis-1254	173	14	22	22	NUM
fis-1254	173	15	22	22	NUM
fis-1254	173	16	22	22	NUM
fis-1254	173	17	3	3	NUM
fis-1254	173	18	3	3	NUM
fis-1254	173	19	3	3	NUM
fis-1254	173	20	1	1	NUM
fis-1254	173	21	1	1	NUM
fis-1254	173	22			PROPN
fis-1254	173	23			PROPN
fis-1254	173	24			NOUN
fis-1254	173	25			PROPN
fis-1254	174	1			NUM
fis-1254	174	2			NUM
fis-1254	174	3			NOUN
fis-1254	174	4			NOUN
fis-1254	174	5			NOUN
fis-1254	175	1	;	;	PUNCT
fis-1254	175	2	k	k	PROPN
fis-1254	175	3	k	k	PROPN
fis-1254	175	4	n	n	CCONJ
fis-1254	176	1	kx	kx	PROPN
fis-1254	176	2	k	k	X
fis-1254	177	1	iz	iz	INTJ
fis-1254	177	2	i	i	PRON
fis-1254	177	3	x	x	VERB
fis-1254	177	4	k	k	VERB
fis-1254	178	1	i	i	PRON
fis-1254	178	2	m	m	VERB
fis-1254	178	3	x	x	VERB
fis-1254	178	4	x	x	X
fis-1254	178	5	dx	dx	PROPN
fis-1254	178	6	(	(	PUNCT
fis-1254	178	7	18e	18e	NOUN
fis-1254	178	8	)	)	PUNCT
fis-1254	178	9			PRON
fis-1254	178	10	gross	gross	ADJ
fis-1254	178	11	resultants	resultant	NOUN
fis-1254	178	12	and	and	CCONJ
fis-1254	178	13	couples	couple	NOUN
fis-1254	178	14	associated	associate	VERB
fis-1254	178	15	to	to	ADP
fis-1254	178	16	the	the	DET
fis-1254	178	17	cohesive	cohesive	ADJ
fis-1254	178	18	interfaces	interface	NOUN
fis-1254	178	19	:	:	PUNCT
fis-1254	178	20			ADP
fis-1254	178	21			PROPN
fis-1254	178	22			PUNCT
fis-1254	178	23	3	3	SYM
fis-1254	179	1	1	1	NUM
fis-1254	179	2	3	3	NUM
fis-1254	179	3	1	1	NUM
fis-1254	179	4	22	22	NUM
fis-1254	179	5	22	22	NUM
fis-1254	179	6	22	22	NUM
fis-1254	179	7	3	3	NUM
fis-1254	179	8	1	1	NUM
fis-1254	179	9	1	1	NUM
fis-1254	179	10	k	k	NOUN
fis-1254	179	11	k	k	PROPN
fis-1254	180	1	n	n	CCONJ
fis-1254	180	2	kx	kx	INTJ
fis-1254	181	1	ks	ks	NOUN
fis-1254	181	2	i	i	NOUN
fis-1254	181	3	x	x	PROPN
fis-1254	182	1	k	k	VERB
fis-1254	182	2	i	i	PRON
fis-1254	182	3	m	m	VERB
fis-1254	182	4	dx	dx	ADJ
fis-1254	182	5			PROPN
fis-1254	182	6			NOUN
fis-1254	182	7			PRON
fis-1254	182	8			PRON
fis-1254	183	1			NOUN
fis-1254	183	2			ADJ
fis-1254	183	3			NOUN
fis-1254	183	4	,	,	PUNCT
fis-1254	183	5			PROPN
fis-1254	183	6			NOUN
fis-1254	183	7			NUM
fis-1254	183	8	11	11	NOUN
fis-1254	183	9	2	2	NUM
fis-1254	183	10	22	22	NUM
fis-1254	183	11	1	1	NUM
fis-1254	183	12			NOUN
fis-1254	183	13			X
fis-1254	183	14			NOUN
fis-1254	183	15			PROPN
fis-1254	183	16			PROPN
fis-1254	183	17			PROPN
fis-1254	183	18			VERB
fis-1254	183	19	ˆ	ˆ	PROPN
fis-1254	183	20	ˆ	ˆ	PROPN
fis-1254	183	21	n	n	NOUN
fis-1254	183	22	l	l	NOUN
fis-1254	183	23	l	l	NOUN
fis-1254	183	24	l	l	NOUN
fis-1254	183	25	s	s	X
fis-1254	183	26	s	s	X
fis-1254	183	27	l	l	NOUN
fis-1254	183	28	t	t	PROPN
fis-1254	183	29	(	(	PUNCT
fis-1254	183	30	18f	18f	NUM
fis-1254	183	31	)	)	PUNCT
fis-1254	183	32	the	the	DET
fis-1254	183	33	terms	term	NOUN
fis-1254	183	34	in	in	ADP
fis-1254	183	35	the	the	DET
fis-1254	183	36	eq	eq	NOUN
fis-1254	183	37	.	.	PUNCT
fis-1254	184	1	(	(	PUNCT
fis-1254	184	2	18e	18e	NOUN
fis-1254	184	3	)	)	PUNCT
fis-1254	184	4	vanish	vanish	VERB
fis-1254	184	5	in	in	ADP
fis-1254	184	6	unidirectionally	unidirectionally	ADV
fis-1254	184	7	reinforced	reinforce	VERB
fis-1254	184	8	systems	system	NOUN
fis-1254	184	9	and	and	CCONJ
fis-1254	184	10	those	those	PRON
fis-1254	184	11	in	in	ADP
fis-1254	184	12	eq	eq	ADP
fis-1254	184	13	.	.	PUNCT
fis-1254	185	1	(	(	PUNCT
fis-1254	185	2	18f	18f	NUM
fis-1254	185	3	)	)	PUNCT
fis-1254	185	4	vanish	vanish	VERB
fis-1254	185	5	in	in	ADP
fis-1254	185	6	fully	fully	ADV
fis-1254	185	7	bonded	bond	VERB
fis-1254	185	8	systems	system	NOUN
fis-1254	185	9	.	.	PUNCT
fis-1254	186	1	the	the	DET
fis-1254	186	2	generalized	generalized	ADJ
fis-1254	186	3	shear	shear	NOUN
fis-1254	186	4	force	force	NOUN
fis-1254	186	5	then	then	ADV
fis-1254	186	6	coincides	coincide	VERB
fis-1254	186	7	with	with	ADP
fis-1254	186	8	the	the	DET
fis-1254	186	9	resultant	resultant	NOUN
fis-1254	186	10	of	of	ADP
fis-1254	186	11	the	the	DET
fis-1254	186	12	transverse	transverse	ADJ
fis-1254	186	13	shear	shear	NOUN
fis-1254	186	14	stresses	stress	NOUN
fis-1254	186	15	,	,	PUNCT
fis-1254	186	16	2	2	NUM
fis-1254	186	17	2	2	NUM
fis-1254	186	18	b	b	NOUN
fis-1254	186	19	gq	gq	NOUN
fis-1254	186	20	q	q	ADJ
fis-1254	186	21	,	,	PUNCT
fis-1254	186	22	when	when	SCONJ
fis-1254	186	23	the	the	DET
fis-1254	186	24	layers	layer	NOUN
fis-1254	186	25	have	have	VERB
fis-1254	186	26	the	the	DET
fis-1254	186	27	same	same	ADJ
fis-1254	186	28	elastic	elastic	ADJ
fis-1254	186	29	constants	constant	NOUN
fis-1254	186	30	,	,	PUNCT
fis-1254	186	31	namely	namely	ADV
fis-1254	186	32	when	when	SCONJ
fis-1254	186	33			NOUN
fis-1254	186	34	1	1	VERB
fis-1254	186	35	22	22	NUM
fis-1254	186	36	0	0	NUM
fis-1254	186	37	;	;	PUNCT
fis-1254	186	38	j	j	X
fis-1254	186	39			NOUN
fis-1254	186	40	so	so	SCONJ
fis-1254	186	41	that	that	SCONJ
fis-1254	186	42	22	22	NUM
fis-1254	186	43	0zm	0zm	NOUN
fis-1254	186	44			NUM
fis-1254	186	45	and	and	CCONJ
fis-1254	186	46	2	2	NUM
fis-1254	186	47	0zq	0zq	NOUN
fis-1254	186	48			NUM
fis-1254	186	49	,	,	PUNCT
fis-1254	186	50	and	and	CCONJ
fis-1254	186	51	the	the	DET
fis-1254	186	52	interfaces	interface	NOUN
fis-1254	186	53	are	be	AUX
fis-1254	186	54	perfect	perfect	ADJ
fis-1254	186	55	,	,	PUNCT
fis-1254	187	1	namely	namely	ADV
fis-1254	187	2	when	when	SCONJ
fis-1254	187	3	0k	0k	PROPN
fis-1254	187	4	st	st	PROPN
fis-1254	187	5			PROPN
fis-1254	187	6	,	,	PUNCT
fis-1254	187	7	k	k	PROPN
fis-1254	187	8	sb	sb	PROPN
fis-1254	188	1			PROPN
fis-1254	188	2	0	0	PUNCT
fis-1254	188	3	and	and	CCONJ
fis-1254	188	4	2ˆkv	2ˆkv	NUM
fis-1254	188	5			NOUN
fis-1254	188	6	0	0	PUNCT
fis-1254	189	1	so	so	SCONJ
fis-1254	189	2	that	that	SCONJ
fis-1254	189	3	22	22	NUM
fis-1254	189	4	0sm	0sm	NOUN
fis-1254	189	5			NUM
fis-1254	189	6	and	and	CCONJ
fis-1254	189	7	1	1	NUM
fis-1254	189	8	2	2	NUM
fis-1254	189	9	0̂	0̂	NUM
fis-1254	189	10			NOUN
fis-1254	189	11	;	;	PUNCT
fis-1254	189	12	in	in	ADP
fis-1254	189	13	this	this	DET
fis-1254	189	14	case	case	NOUN
fis-1254	189	15	the	the	DET
fis-1254	189	16	equilibrium	equilibrium	NOUN
fis-1254	189	17	equations	equation	NOUN
fis-1254	189	18	coincide	coincide	VERB
fis-1254	189	19	with	with	ADP
fis-1254	189	20	those	those	PRON
fis-1254	189	21	of	of	ADP
fis-1254	189	22	single	single	ADJ
fis-1254	189	23	layer	layer	NOUN
fis-1254	189	24	theory	theory	NOUN
fis-1254	189	25	.	.	PUNCT
fis-1254	190	1	in	in	ADP
fis-1254	190	2	all	all	DET
fis-1254	190	3	other	other	ADJ
fis-1254	190	4	cases	case	NOUN
fis-1254	190	5	,	,	PUNCT
fis-1254	190	6	the	the	DET
fis-1254	190	7	generalized	generalized	ADJ
fis-1254	190	8	shear	shear	NOUN
fis-1254	190	9	force	force	NOUN
fis-1254	190	10	depends	depend	VERB
fis-1254	190	11	on	on	ADP
fis-1254	190	12	the	the	DET
fis-1254	190	13	multilayered	multilayered	ADJ
fis-1254	190	14	structure	structure	NOUN
fis-1254	190	15	,	,	PUNCT
fis-1254	190	16	through	through	ADP
fis-1254	190	17	2	2	NUM
fis-1254	190	18	zq	zq	NOUN
fis-1254	190	19	and	and	CCONJ
fis-1254	190	20	22	22	NUM
fis-1254	190	21	zm	zm	PROPN
fis-1254	190	22	,	,	PUNCT
fis-1254	190	23	and	and	CCONJ
fis-1254	190	24	on	on	ADP
fis-1254	190	25	the	the	DET
fis-1254	190	26	status	status	NOUN
fis-1254	190	27	of	of	ADP
fis-1254	190	28	the	the	DET
fis-1254	190	29	cohesive	cohesive	ADJ
fis-1254	190	30	interfaces	interface	NOUN
fis-1254	190	31	,	,	PUNCT
fis-1254	190	32	through	through	ADP
fis-1254	190	33	22	22	NUM
fis-1254	190	34	sm	sm	NOUN
fis-1254	190	35	and	and	CCONJ
fis-1254	190	36	1	1	NUM
fis-1254	190	37	2̂	2̂	NUM
fis-1254	190	38	,	,	PUNCT
fis-1254	190	39	and	and	CCONJ
fis-1254	190	40	the	the	DET
fis-1254	190	41	classical	classical	ADJ
fis-1254	190	42	relation	relation	NOUN
fis-1254	190	43	between	between	ADP
fis-1254	190	44	bending	bend	VERB
fis-1254	190	45	moment	moment	NOUN
fis-1254	190	46	and	and	CCONJ
fis-1254	190	47	shear	shear	ADJ
fis-1254	190	48	force	force	NOUN
fis-1254	190	49	of	of	ADP
fis-1254	190	50	single	single	ADJ
fis-1254	190	51	-	-	PUNCT
fis-1254	190	52	layer	layer	NOUN
fis-1254	190	53	theory	theory	NOUN
fis-1254	190	54	is	be	AUX
fis-1254	190	55	modified	modify	VERB
fis-1254	190	56	as	as	ADP
fis-1254	190	57	in	in	ADP
fis-1254	190	58	eq	eq	NOUN
fis-1254	190	59	.	.	PUNCT
fis-1254	190	60	(	(	PUNCT
fis-1254	190	61	17b	17b	NUM
fis-1254	190	62	)	)	PUNCT
fis-1254	190	63	.	.	PUNCT
fis-1254	191	1	the	the	DET
fis-1254	191	2	mechanical	mechanical	ADJ
fis-1254	191	3	/	/	SYM
fis-1254	191	4	geometrical	geometrical	ADJ
fis-1254	191	5	boundary	boundary	ADJ
fis-1254	191	6	conditions	condition	NOUN
fis-1254	191	7	on	on	ADP
fis-1254	191	8	c	c	NOUN
fis-1254	191	9	,	,	PUNCT
fis-1254	191	10	at	at	ADP
fis-1254	191	11	2	2	NUM
fis-1254	191	12	0	0	NUM
fis-1254	191	13	,	,	PUNCT
fis-1254	191	14	x	x	X
fis-1254	191	15	l	l	NOUN
fis-1254	191	16	,	,	PUNCT
fis-1254	191	17	with	with	ADP
fis-1254	191	18	n	n	NOUN
fis-1254	191	19	=	=	PUNCT
fis-1254	191	20			NOUN
fis-1254	191	21	20	20	NOUN
fis-1254	191	22	1	1	NUM
fis-1254	191	23	0	0	NUM
fis-1254	191	24			PROPN
fis-1254	191	25	,	,	PUNCT
fis-1254	191	26	,	,	PUNCT
fis-1254	191	27	t	t	PROPN
fis-1254	191	28	n	n	PROPN
fis-1254	191	29	the	the	DET
fis-1254	191	30	outward	outward	ADJ
fis-1254	191	31	normal	normal	ADJ
fis-1254	191	32	,	,	PUNCT
fis-1254	191	33	are	be	AUX
fis-1254	191	34	:	:	PUNCT
fis-1254	191	35	r	r	NOUN
fis-1254	191	36	massabò	massabò	PROPN
fis-1254	191	37	,	,	PUNCT
fis-1254	191	38	frattura	frattura	PROPN
fis-1254	191	39	ed	ed	PROPN
fis-1254	191	40	integrità	integrità	PROPN
fis-1254	191	41	strutturale	strutturale	PROPN
fis-1254	191	42	,	,	PUNCT
fis-1254	191	43	29(2014	29(2014	NUM
fis-1254	191	44	)	)	PUNCT
fis-1254	191	45	230	230	NUM
fis-1254	191	46	-	-	SYM
fis-1254	191	47	240	240	NUM
fis-1254	191	48	;	;	PUNCT
fis-1254	191	49	doi	doi	NOUN
fis-1254	191	50	:	:	PUNCT
fis-1254	191	51	10.3221	10.3221	NUM
fis-1254	191	52	/	/	SYM
fis-1254	191	53	igf	igf	PROPN
fis-1254	191	54	-	-	ADJ
fis-1254	191	55	esis.29.20	esis.29.20	NOUN
fis-1254	191	56	236	236	NUM
fis-1254	191	57	02	02	NUM
fis-1254	191	58	:	:	PUNCT
fis-1254	191	59	v	v	NOUN
fis-1254	191	60	22	22	NUM
fis-1254	191	61	2	2	NUM
fis-1254	191	62	2	2	NUM
fis-1254	191	63			NOUN
fis-1254	191	64	bn	bn	CCONJ
fis-1254	191	65	n	n	CCONJ
fis-1254	191	66	n	n	PROPN
fis-1254	191	67	or	or	CCONJ
fis-1254	191	68	02	02	NUM
fis-1254	191	69	02	02	NUM
fis-1254	191	70	v	v	NOUN
fis-1254	191	71	v	v	NOUN
fis-1254	191	72	(	(	PUNCT
fis-1254	191	73	19a	19a	NUM
fis-1254	191	74	)	)	PUNCT
fis-1254	191	75	2	2	NUM
fis-1254	191	76	:	:	PUNCT
fis-1254	191	77	22	22	NUM
fis-1254	191	78	2	2	NUM
fis-1254	191	79	2	2	NUM
fis-1254	191	80	b	b	PUNCT
fis-1254	192	1	bbm	bbm	PROPN
fis-1254	192	2	n	n	ADV
fis-1254	192	3	m	m	NOUN
fis-1254	192	4	or	or	CCONJ
fis-1254	192	5	2	2	NUM
fis-1254	192	6	2	2	NUM
fis-1254	192	7			NOUN
fis-1254	192	8			NOUN
fis-1254	192	9	(	(	PUNCT
fis-1254	192	10	19b	19b	NOUN
fis-1254	192	11	)	)	PUNCT
fis-1254	192	12	0	0	NUM
fis-1254	192	13	:	:	PUNCT
fis-1254	192	14	w	w	NOUN
fis-1254	192	15	2	2	NUM
fis-1254	192	16	2	2	NUM
fis-1254	192	17	3	3	NUM
fis-1254	192	18			NOUN
fis-1254	192	19	b	b	PROPN
fis-1254	192	20	gq	gq	VERB
fis-1254	192	21	n	n	CCONJ
fis-1254	192	22	n	n	NOUN
fis-1254	192	23	or	or	CCONJ
fis-1254	192	24	0	0	NUM
fis-1254	192	25	0	0	NUM
fis-1254	192	26	w	w	X
fis-1254	193	1	w	w	X
fis-1254	193	2	(	(	PUNCT
fis-1254	193	3	19c	19c	NUM
fis-1254	193	4	)	)	PUNCT
fis-1254	193	5	0	0	NUM
fis-1254	193	6	2	2	NUM
fis-1254	193	7	,	,	PUNCT
fis-1254	193	8	:	:	PUNCT
fis-1254	193	9	w	w	PROPN
fis-1254	193	10			PROPN
fis-1254	193	11			ADP
fis-1254	193	12	22	22	NUM
fis-1254	193	13	2	2	NUM
fis-1254	193	14	22	22	NUM
fis-1254	193	15	2	2	NUM
fis-1254	193	16	2	2	NUM
fis-1254	193	17	2	2	NUM
fis-1254	193	18			NUM
fis-1254	193	19			NOUN
fis-1254	193	20	z	z	PUNCT
fis-1254	193	21	s	s	PART
fis-1254	193	22	zb	zb	PROPN
fis-1254	193	23	sbm	sbm	PROPN
fis-1254	193	24	n	n	PROPN
fis-1254	193	25	m	m	VERB
fis-1254	193	26	n	n	ADV
fis-1254	193	27	m	m	VERB
fis-1254	193	28	m	m	VERB
fis-1254	193	29	or	or	CCONJ
fis-1254	193	30	0	0	NUM
fis-1254	193	31	2	2	NUM
fis-1254	193	32	0	0	NUM
fis-1254	193	33	2	2	NUM
fis-1254	193	34			NOUN
fis-1254	193	35	,	,	PUNCT
fis-1254	193	36	,	,	PUNCT
fis-1254	193	37	w	w	PROPN
fis-1254	193	38	w	w	PROPN
fis-1254	193	39	(	(	PUNCT
fis-1254	193	40	19d	19d	NOUN
fis-1254	193	41	)	)	PUNCT
fis-1254	193	42	where	where	SCONJ
fis-1254	193	43			NOUN
fis-1254	193	44	3	3	VERB
fis-1254	193	45	1	1	NUM
fis-1254	193	46	3	3	NUM
fis-1254	193	47	3	3	NUM
fis-1254	193	48	1	1	NUM
fis-1254	193	49	2	2	NUM
fis-1254	193	50	3	3	NUM
fis-1254	193	51	,	,	PUNCT
fis-1254	193	52	for	for	ADP
fis-1254	193	53	,	,	PUNCT
fis-1254	193	54	k	k	PROPN
fis-1254	193	55	k	k	PROPN
fis-1254	194	1	n	n	PROPN
fis-1254	194	2	x	x	SYM
fis-1254	194	3	kb	kb	PROPN
fis-1254	194	4	b	b	PROPN
fis-1254	195	1	i	i	PRON
fis-1254	195	2	ix	ix	PROPN
fis-1254	195	3	k	k	PROPN
fis-1254	196	1	n	n	PROPN
fis-1254	196	2	f	f	PROPN
fis-1254	196	3	dx	dx	PROPN
fis-1254	197	1	i	i	PRON
fis-1254	197	2			VERB
fis-1254	197	3			PROPN
fis-1254	198	1			PROPN
fis-1254	198	2			PROPN
fis-1254	198	3	(	(	PUNCT
fis-1254	198	4	20a	20a	NOUN
fis-1254	198	5	)	)	PUNCT
fis-1254	198	6			NOUN
fis-1254	198	7	3	3	ADJ
fis-1254	198	8	1	1	NUM
fis-1254	198	9	3	3	NUM
fis-1254	198	10	2	2	NUM
fis-1254	198	11	2	2	NUM
fis-1254	198	12	3	3	NUM
fis-1254	198	13	3	3	NUM
fis-1254	198	14	1	1	NUM
fis-1254	198	15			NOUN
fis-1254	198	16			PROPN
fis-1254	198	17			NUM
fis-1254	198	18			NOUN
fis-1254	198	19	,	,	PUNCT
fis-1254	199	1	k	k	PROPN
fis-1254	199	2	k	k	PROPN
fis-1254	200	1	n	n	PROPN
fis-1254	200	2	x	x	PROPN
fis-1254	200	3	kbb	kbb	PROPN
fis-1254	201	1	b	b	PROPN
fis-1254	201	2	x	x	X
fis-1254	201	3	k	k	NOUN
fis-1254	201	4	m	m	VERB
fis-1254	201	5	f	f	X
fis-1254	201	6	x	x	X
fis-1254	201	7	dx	dx	PROPN
fis-1254	201	8	(	(	PUNCT
fis-1254	201	9	20b	20b	NOUN
fis-1254	201	10	)	)	PUNCT
fis-1254	201	11			NOUN
fis-1254	201	12			PUNCT
fis-1254	201	13	3	3	SYM
fis-1254	201	14	1	1	NUM
fis-1254	201	15	3	3	NUM
fis-1254	201	16	1	1	NUM
fis-1254	201	17	2	2	NUM
fis-1254	201	18	2	2	NUM
fis-1254	201	19	22	22	NUM
fis-1254	201	20	3	3	NUM
fis-1254	201	21	1	1	NUM
fis-1254	201	22	1	1	NUM
fis-1254	201	23			NOUN
fis-1254	201	24			NOUN
fis-1254	201	25			NUM
fis-1254	201	26			PRON
fis-1254	201	27			NOUN
fis-1254	201	28			ADJ
fis-1254	201	29			NOUN
fis-1254	201	30	,	,	PUNCT
fis-1254	201	31	k	k	PROPN
fis-1254	201	32	k	k	PROPN
fis-1254	201	33	n	n	CCONJ
fis-1254	202	1	kx	kx	PROPN
fis-1254	202	2	ksb	ksb	PROPN
fis-1254	203	1	b	b	PROPN
fis-1254	204	1	i	i	NOUN
fis-1254	204	2	x	x	PROPN
fis-1254	205	1	k	k	NOUN
fis-1254	206	1	i	i	PRON
fis-1254	206	2	m	m	VERB
fis-1254	206	3	f	f	PROPN
fis-1254	206	4	dx	dx	PROPN
fis-1254	206	5	(	(	PUNCT
fis-1254	206	6	20c	20c	NOUN
fis-1254	206	7	)	)	PUNCT
fis-1254	206	8			NOUN
fis-1254	206	9			PUNCT
fis-1254	206	10			NOUN
fis-1254	206	11			SYM
fis-1254	206	12			NOUN
fis-1254	206	13	3	3	ADJ
fis-1254	207	1	1	1	NUM
fis-1254	207	2	3	3	NUM
fis-1254	207	3	1	1	NUM
fis-1254	207	4	1	1	NUM
fis-1254	207	5	2	2	NUM
fis-1254	207	6	2	2	NUM
fis-1254	207	7	22	22	NUM
fis-1254	207	8	3	3	NUM
fis-1254	207	9	3	3	NUM
fis-1254	207	10	3	3	NUM
fis-1254	207	11	1	1	NUM
fis-1254	207	12	1	1	NUM
fis-1254	207	13	;	;	PUNCT
fis-1254	207	14	,	,	PUNCT
fis-1254	207	15	k	k	PROPN
fis-1254	207	16	k	k	PROPN
fis-1254	208	1	n	n	CCONJ
fis-1254	209	1	kx	kx	PROPN
fis-1254	209	2	k	k	PROPN
fis-1254	209	3	izb	izb	PROPN
fis-1254	209	4	b	b	PROPN
fis-1254	210	1	i	i	NOUN
fis-1254	210	2	x	x	PROPN
fis-1254	211	1	k	k	NOUN
fis-1254	212	1	i	i	PRON
fis-1254	212	2	m	m	VERB
fis-1254	212	3	f	f	VERB
fis-1254	212	4	x	x	PUNCT
fis-1254	212	5	x	x	PROPN
fis-1254	212	6	dx	dx	PROPN
fis-1254	212	7			PROPN
fis-1254	212	8			VERB
fis-1254	212	9			PROPN
fis-1254	213	1			NUM
fis-1254	213	2			NUM
fis-1254	213	3			NOUN
fis-1254	214	1			PRON
fis-1254	214	2			NOUN
fis-1254	214	3	(	(	PUNCT
fis-1254	214	4	20d	20d	NUM
fis-1254	214	5	)	)	PUNCT
fis-1254	214	6	terms	term	NOUN
fis-1254	214	7	with	with	ADP
fis-1254	214	8	the	the	DET
fis-1254	214	9	tilde	tilde	NOUN
fis-1254	214	10	define	define	VERB
fis-1254	214	11	prescribed	prescribed	ADJ
fis-1254	214	12	values	value	NOUN
fis-1254	214	13	of	of	ADP
fis-1254	214	14	generalized	generalized	ADJ
fis-1254	214	15	displacements	displacement	NOUN
fis-1254	214	16	and	and	CCONJ
fis-1254	214	17	gross	gross	ADJ
fis-1254	214	18	forces	force	NOUN
fis-1254	214	19	and	and	CCONJ
fis-1254	214	20	couples	couple	NOUN
fis-1254	214	21	applied	apply	VERB
fis-1254	214	22	to	to	ADP
fis-1254	214	23	b	b	PROPN
fis-1254	214	24	.	.	PUNCT
fis-1254	215	1	equilibrium	equilibrium	NOUN
fis-1254	215	2	and	and	CCONJ
fis-1254	215	3	boundary	boundary	ADJ
fis-1254	215	4	conditions	condition	NOUN
fis-1254	215	5	can	can	AUX
fis-1254	215	6	be	be	AUX
fis-1254	215	7	expressed	express	VERB
fis-1254	215	8	in	in	ADP
fis-1254	215	9	terms	term	NOUN
fis-1254	215	10	of	of	ADP
fis-1254	215	11	the	the	DET
fis-1254	215	12	homogenized	homogenized	ADJ
fis-1254	215	13	displacement	displacement	ADJ
fis-1254	215	14	variables	variable	NOUN
fis-1254	215	15	using	use	VERB
fis-1254	215	16	the	the	DET
fis-1254	215	17	constitutive	constitutive	NOUN
fis-1254	215	18	and	and	CCONJ
fis-1254	215	19	compatibility	compatibility	NOUN
fis-1254	215	20	eq	eq	ADJ
fis-1254	215	21	.	.	PUNCT
fis-1254	216	1	(	(	PUNCT
fis-1254	216	2	1	1	NUM
fis-1254	216	3	)	)	PUNCT
fis-1254	216	4	,	,	PUNCT
fis-1254	216	5	(	(	PUNCT
fis-1254	216	6	12	12	NUM
fis-1254	216	7	)	)	PUNCT
fis-1254	216	8	,	,	PUNCT
fis-1254	216	9	(	(	PUNCT
fis-1254	216	10	14	14	NUM
fis-1254	216	11	)	)	PUNCT
fis-1254	216	12	and	and	CCONJ
fis-1254	216	13	(	(	PUNCT
fis-1254	216	14	15	15	NUM
fis-1254	216	15	)	)	PUNCT
fis-1254	216	16	.	.	PUNCT
fis-1254	217	1	the	the	DET
fis-1254	217	2	equations	equation	NOUN
fis-1254	217	3	are	be	AUX
fis-1254	217	4	presented	present	VERB
fis-1254	217	5	in	in	ADP
fis-1254	217	6	[	[	X
fis-1254	217	7	19	19	NUM
fis-1254	217	8	]	]	PUNCT
fis-1254	217	9	.	.	PUNCT
fis-1254	218	1	eq	eq	NOUN
fis-1254	218	2	.	.	PUNCT
fis-1254	218	3	(	(	PUNCT
fis-1254	218	4	14a	14a	NOUN
fis-1254	218	5	)	)	PUNCT
fis-1254	218	6	and	and	CCONJ
fis-1254	218	7	(	(	PUNCT
fis-1254	218	8	9	9	X
fis-1254	218	9	)	)	PUNCT
fis-1254	218	10	show	show	VERB
fis-1254	218	11	that	that	SCONJ
fis-1254	218	12	the	the	DET
fis-1254	218	13	transverse	transverse	ADJ
fis-1254	218	14	shear	shear	NOUN
fis-1254	218	15	stress	stress	NOUN
fis-1254	218	16	,	,	PUNCT
fis-1254	218	17	23	23	NUM
fis-1254	218	18	,	,	PUNCT
fis-1254	218	19	obtained	obtain	VERB
fis-1254	218	20	from	from	ADP
fis-1254	218	21	the	the	DET
fis-1254	218	22	shear	shear	NOUN
fis-1254	218	23	strains	strain	NOUN
fis-1254	218	24	,	,	PUNCT
fis-1254	218	25	23	23	NUM
fis-1254	218	26	,	,	PUNCT
fis-1254	218	27	through	through	ADP
fis-1254	218	28	the	the	DET
fis-1254	218	29	constitutive	constitutive	NOUN
fis-1254	218	30	eq	eq	X
fis-1254	218	31	.	.	PUNCT
fis-1254	218	32	(	(	PUNCT
fis-1254	218	33	1	1	NUM
fis-1254	218	34	)	)	PUNCT
fis-1254	218	35	,	,	PUNCT
fis-1254	218	36	is	be	AUX
fis-1254	218	37	constant	constant	ADJ
fis-1254	218	38	in	in	ADP
fis-1254	218	39	the	the	DET
fis-1254	218	40	thickness	thickness	NOUN
fis-1254	218	41	and	and	CCONJ
fis-1254	218	42	related	relate	VERB
fis-1254	218	43	to	to	ADP
fis-1254	218	44	the	the	DET
fis-1254	218	45	transverse	transverse	ADJ
fis-1254	218	46	shear	shear	NOUN
fis-1254	218	47	force	force	NOUN
fis-1254	218	48	,	,	PUNCT
fis-1254	218	49	eq	eq	NOUN
fis-1254	218	50	.	.	PROPN
fis-1254	218	51	(	(	PUNCT
fis-1254	218	52	18d	18d	NUM
fis-1254	218	53	)	)	PUNCT
fis-1254	218	54	,	,	PUNCT
fis-1254	218	55	through	through	ADP
fis-1254	218	56	23	23	NUM
fis-1254	218	57	2	2	NUM
fis-1254	219	1			NUM
fis-1254	219	2	/bq	/bq	NOUN
fis-1254	220	1	h	h	NOUN
fis-1254	220	2	.	.	PUNCT
fis-1254	221	1	this	this	DET
fis-1254	221	2	stress	stress	NOUN
fis-1254	221	3	does	do	AUX
fis-1254	221	4	not	not	PART
fis-1254	221	5	describe	describe	VERB
fis-1254	221	6	the	the	DET
fis-1254	221	7	effective	effective	ADJ
fis-1254	221	8	status	status	NOUN
fis-1254	221	9	of	of	ADP
fis-1254	221	10	the	the	DET
fis-1254	221	11	material	material	NOUN
fis-1254	221	12	,	,	PUNCT
fis-1254	221	13	but	but	CCONJ
fis-1254	221	14	for	for	ADP
fis-1254	221	15	the	the	DET
fis-1254	221	16	limit	limit	NOUN
fis-1254	221	17	case	case	NOUN
fis-1254	221	18	of	of	ADP
fis-1254	221	19	a	a	DET
fis-1254	221	20	system	system	NOUN
fis-1254	221	21	with	with	ADP
fis-1254	221	22	perfectly	perfectly	ADV
fis-1254	221	23	bonded	bond	VERB
fis-1254	221	24	interfaces	interface	NOUN
fis-1254	221	25	and	and	CCONJ
fis-1254	221	26	layers	layer	NOUN
fis-1254	221	27	with	with	ADP
fis-1254	221	28	the	the	DET
fis-1254	221	29	same	same	ADJ
fis-1254	221	30	elastic	elastic	ADJ
fis-1254	221	31	constants	constant	NOUN
fis-1254	221	32	,	,	PUNCT
fis-1254	221	33	where	where	SCONJ
fis-1254	221	34	1	1	NUM
fis-1254	221	35	2	2	NUM
fis-1254	221	36	22	22	NUM
fis-1254	221	37	2	2	NUM
fis-1254	221	38	22	22	NUM
fis-1254	221	39	2	2	NUM
fis-1254	221	40	2	2	NUM
fis-1254	221	41	0	0	NUM
fis-1254	221	42	,	,	PUNCT
fis-1254	221	43	,	,	PUNCT
fis-1254	221	44	ˆz	ˆz	PROPN
fis-1254	221	45	z	z	PROPN
fis-1254	221	46	sq	sq	VERB
fis-1254	221	47	m	m	VERB
fis-1254	221	48	m	m	NOUN
fis-1254	221	49			NOUN
fis-1254	221	50			ADJ
fis-1254	221	51			PRON
fis-1254	221	52			ADJ
fis-1254	221	53	and	and	CCONJ
fis-1254	221	54	2	2	NUM
fis-1254	221	55	2b	2b	NUM
fis-1254	221	56	gq	gq	PROPN
fis-1254	221	57	q	q	PROPN
fis-1254	221	58	.	.	PUNCT
fis-1254	222	1	in	in	ADP
fis-1254	222	2	the	the	DET
fis-1254	222	3	presence	presence	NOUN
fis-1254	222	4	of	of	ADP
fis-1254	222	5	imperfect	imperfect	ADJ
fis-1254	222	6	interfaces	interface	NOUN
fis-1254	222	7	,	,	PUNCT
fis-1254	222	8	23	23	NUM
fis-1254	222	9	follows	follow	VERB
fis-1254	222	10	the	the	DET
fis-1254	222	11	dependence	dependence	NOUN
fis-1254	222	12	of	of	ADP
fis-1254	222	13	the	the	DET
fis-1254	222	14	interfacial	interfacial	ADJ
fis-1254	222	15	tractions	traction	NOUN
fis-1254	222	16	on	on	ADP
fis-1254	222	17	the	the	DET
fis-1254	222	18	stiffness	stiffness	NOUN
fis-1254	222	19	of	of	ADP
fis-1254	222	20	the	the	DET
fis-1254	222	21	interfaces	interface	NOUN
fis-1254	222	22	,	,	PUNCT
fis-1254	222	23	due	due	ADP
fis-1254	222	24	to	to	ADP
fis-1254	222	25	the	the	DET
fis-1254	222	26	imposed	impose	VERB
fis-1254	222	27	continuity	continuity	NOUN
fis-1254	222	28	,	,	PUNCT
fis-1254	222	29	eq	eq	NOUN
fis-1254	222	30	.	.	PUNCT
fis-1254	223	1	(	(	PUNCT
fis-1254	223	2	7)-(10	7)-(10	NOUN
fis-1254	223	3	)	)	PUNCT
fis-1254	223	4	,	,	PUNCT
fis-1254	223	5	and	and	CCONJ
fis-1254	223	6	progressively	progressively	ADV
fis-1254	223	7	goes	go	VERB
fis-1254	223	8	to	to	ADP
fis-1254	223	9	zero	zero	NUM
fis-1254	223	10	when	when	SCONJ
fis-1254	223	11	the	the	DET
fis-1254	223	12	stiffness	stiffness	NOUN
fis-1254	223	13	of	of	ADP
fis-1254	223	14	the	the	DET
fis-1254	223	15	interfaces	interface	NOUN
fis-1254	223	16	decreases	decrease	VERB
fis-1254	223	17	;	;	PUNCT
fis-1254	223	18	in	in	ADP
fis-1254	223	19	fully	fully	ADV
fis-1254	223	20	bonded	bond	VERB
fis-1254	223	21	systems	system	NOUN
fis-1254	223	22	with	with	ADP
fis-1254	223	23	a	a	DET
fis-1254	223	24	multilayered	multilayered	ADJ
fis-1254	223	25	structure	structure	NOUN
fis-1254	223	26	,	,	PUNCT
fis-1254	223	27	where	where	SCONJ
fis-1254	223	28	2	2	NUM
fis-1254	223	29	2	2	NUM
fis-1254	223	30	2	2	NUM
fis-1254	223	31	22	22	NUM
fis-1254	223	32	2	2	NUM
fis-1254	223	33			PUNCT
fis-1254	223	34			PROPN
fis-1254	223	35	,	,	PUNCT
fis-1254	223	36	b	b	PROPN
fis-1254	223	37	z	z	PROPN
fis-1254	223	38	z	z	NOUN
fis-1254	223	39	gq	gq	PROPN
fis-1254	223	40	q	q	PROPN
fis-1254	223	41	q	q	NOUN
fis-1254	223	42	m	m	NOUN
fis-1254	223	43	,	,	PUNCT
fis-1254	223	44	23	23	NUM
fis-1254	223	45	2	2	NUM
fis-1254	224	1			NUM
fis-1254	224	2	/bq	/bq	NOUN
fis-1254	225	1	h	h	NOUN
fis-1254	225	2	again	again	ADV
fis-1254	225	3	does	do	AUX
fis-1254	225	4	not	not	PART
fis-1254	225	5	describe	describe	VERB
fis-1254	225	6	the	the	DET
fis-1254	225	7	actual	actual	ADJ
fis-1254	225	8	stress	stress	NOUN
fis-1254	225	9	distribution	distribution	NOUN
fis-1254	225	10	but	but	CCONJ
fis-1254	225	11	for	for	ADP
fis-1254	225	12	the	the	DET
fis-1254	225	13	special	special	ADJ
fis-1254	225	14	case	case	NOUN
fis-1254	225	15	of	of	ADP
fis-1254	225	16	layers	layer	NOUN
fis-1254	225	17	with	with	ADP
fis-1254	225	18	the	the	DET
fis-1254	225	19	same	same	ADJ
fis-1254	225	20	elastic	elastic	ADJ
fis-1254	225	21	constants	constant	NOUN
fis-1254	225	22	where	where	SCONJ
fis-1254	225	23	2	2	NUM
fis-1254	225	24	22	22	NUM
fis-1254	225	25	2	2	NUM
fis-1254	225	26	0	0	NUM
fis-1254	225	27			PROPN
fis-1254	225	28	,	,	PUNCT
fis-1254	225	29	z	z	PROPN
fis-1254	225	30	zq	zq	PROPN
fis-1254	225	31	m	m	PROPN
fis-1254	225	32	.	.	PUNCT
fis-1254	226	1	based	base	VERB
fis-1254	226	2	on	on	ADP
fis-1254	226	3	the	the	DET
fis-1254	226	4	observations	observation	NOUN
fis-1254	226	5	above	above	ADV
fis-1254	226	6	,	,	PUNCT
fis-1254	226	7	a	a	DET
fis-1254	226	8	generalized	generalized	ADJ
fis-1254	226	9	transverse	transverse	NOUN
fis-1254	226	10	shear	shear	NOUN
fis-1254	226	11	stress	stress	NOUN
fis-1254	226	12	can	can	AUX
fis-1254	226	13	be	be	AUX
fis-1254	226	14	introduced	introduce	VERB
fis-1254	226	15	,	,	PUNCT
fis-1254	226	16	which	which	PRON
fis-1254	226	17	is	be	AUX
fis-1254	226	18	the	the	DET
fis-1254	226	19	relevant	relevant	ADJ
fis-1254	226	20	internal	internal	ADJ
fis-1254	226	21	stress	stress	NOUN
fis-1254	226	22	for	for	ADP
fis-1254	226	23	strength	strength	NOUN
fis-1254	226	24	predictions	prediction	NOUN
fis-1254	226	25	,	,	PUNCT
fis-1254	226	26	23	23	NUM
fis-1254	226	27	2	2	NUM
fis-1254	226	28	g	g	NOUN
fis-1254	226	29	gq	gq	NOUN
fis-1254	226	30	h	h	NOUN
fis-1254	226	31			PROPN
fis-1254	226	32	.	.	PUNCT
fis-1254	227	1	the	the	DET
fis-1254	227	2	generalized	generalized	ADJ
fis-1254	227	3	transverse	transverse	NOUN
fis-1254	227	4	shear	shear	NOUN
fis-1254	227	5	stress	stress	NOUN
fis-1254	227	6	,	,	PUNCT
fis-1254	227	7	23	23	NUM
fis-1254	227	8	g	g	ADJ
fis-1254	227	9	,	,	PUNCT
fis-1254	227	10	averages	average	VERB
fis-1254	227	11	the	the	DET
fis-1254	227	12	actual	actual	ADJ
fis-1254	227	13	shear	shear	NOUN
fis-1254	227	14	stress	stress	ADJ
fis-1254	227	15	distribution	distribution	NOUN
fis-1254	227	16	which	which	PRON
fis-1254	227	17	can	can	AUX
fis-1254	227	18	be	be	AUX
fis-1254	227	19	obtained	obtain	VERB
fis-1254	227	20	a	a	DET
fis-1254	227	21	posteriori	posteriori	NOUN
fis-1254	227	22	from	from	ADP
fis-1254	227	23	the	the	DET
fis-1254	227	24	bending	bending	NOUN
fis-1254	227	25	stresses	stress	NOUN
fis-1254	227	26	by	by	ADP
fis-1254	227	27	satisfying	satisfy	VERB
fis-1254	227	28	local	local	ADJ
fis-1254	227	29	equilibrium	equilibrium	NOUN
fis-1254	227	30	,	,	PUNCT
fis-1254	227	31	22	22	NUM
fis-1254	227	32	2	2	NUM
fis-1254	227	33	23	23	NUM
fis-1254	227	34	3	3	NUM
fis-1254	227	35	0	0	NUM
fis-1254	227	36			NOUN
fis-1254	227	37			NUM
fis-1254	227	38	(	(	PUNCT
fis-1254	227	39	)	)	PUNCT
fis-1254	227	40	(	(	PUNCT
fis-1254	227	41	)	)	PUNCT
fis-1254	227	42	,	,	PUNCT
fis-1254	227	43	,	,	PUNCT
fis-1254	227	44	k	k	PROPN
fis-1254	227	45	k	k	X
fis-1254	227	46	post	post	NOUN
fis-1254	227	47	,	,	PUNCT
fis-1254	227	48	so	so	SCONJ
fis-1254	227	49	that	that	SCONJ
fis-1254	227	50	3	3	NUM
fis-1254	227	51	1	1	NUM
fis-1254	227	52	3	3	NUM
fis-1254	227	53	23	23	NUM
fis-1254	227	54	23	23	NUM
fis-1254	227	55	3	3	NUM
fis-1254	227	56	1	1	NUM
fis-1254	227	57	1	1	NUM
fis-1254	227	58			PROPN
fis-1254	227	59			NOUN
fis-1254	227	60			NOUN
fis-1254	227	61			NUM
fis-1254	227	62			NOUN
fis-1254	227	63	(	(	PUNCT
fis-1254	227	64	)	)	PUNCT
fis-1254	227	65	/	/	SYM
fis-1254	228	1	k	k	PROPN
fis-1254	228	2	k	k	PROPN
fis-1254	229	1	n	n	PROPN
fis-1254	229	2	x	x	SYM
fis-1254	229	3	k	k	X
fis-1254	229	4	post	post	NOUN
fis-1254	229	5	g	g	NOUN
fis-1254	229	6	x	x	SYM
fis-1254	229	7	k	k	PROPN
fis-1254	229	8	h	h	NOUN
fis-1254	229	9	dx	dx	PROPN
fis-1254	229	10	.	.	PUNCT
fis-1254	230	1	similarly	similarly	ADV
fis-1254	230	2	,	,	PUNCT
fis-1254	230	3	the	the	DET
fis-1254	230	4	transverse	transverse	ADJ
fis-1254	230	5	shear	shear	NOUN
fis-1254	230	6	strain	strain	NOUN
fis-1254	230	7	,	,	PUNCT
fis-1254	230	8	which	which	PRON
fis-1254	230	9	is	be	AUX
fis-1254	230	10	related	relate	VERB
fis-1254	230	11	to	to	ADP
fis-1254	230	12	the	the	DET
fis-1254	230	13	transverse	transverse	ADJ
fis-1254	230	14	shear	shear	NOUN
fis-1254	230	15	stress	stress	NOUN
fis-1254	230	16	through	through	ADP
fis-1254	230	17	the	the	DET
fis-1254	230	18	constitutive	constitutive	NOUN
fis-1254	230	19	eq	eq	X
fis-1254	230	20	.	.	PUNCT
fis-1254	231	1	(	(	PUNCT
fis-1254	231	2	1	1	NUM
fis-1254	231	3	)	)	PUNCT
fis-1254	231	4	,	,	PUNCT
fis-1254	231	5	23	23	NUM
fis-1254	231	6	23	23	NUM
fis-1254	231	7	552	552	NUM
fis-1254	231	8	/	/	SYM
fis-1254	231	9	c	c	PROPN
fis-1254	231	10			NOUN
fis-1254	231	11	,	,	PUNCT
fis-1254	231	12	only	only	ADV
fis-1254	231	13	partly	partly	ADV
fis-1254	231	14	describes	describe	VERB
fis-1254	231	15	the	the	DET
fis-1254	231	16	shear	shear	NOUN
fis-1254	231	17	deformations	deformation	NOUN
fis-1254	231	18	of	of	ADP
fis-1254	231	19	the	the	DET
fis-1254	231	20	plate	plate	NOUN
fis-1254	231	21	whose	whose	DET
fis-1254	231	22	correct	correct	ADJ
fis-1254	231	23	measure	measure	NOUN
fis-1254	231	24	within	within	ADP
fis-1254	231	25	this	this	DET
fis-1254	231	26	model	model	NOUN
fis-1254	231	27	is	be	AUX
fis-1254	231	28	given	give	VERB
fis-1254	231	29	by	by	ADP
fis-1254	231	30	a	a	DET
fis-1254	231	31	generalized	generalized	ADJ
fis-1254	231	32	shear	shear	NOUN
fis-1254	231	33	strain	strain	VERB
fis-1254	231	34	23	23	NUM
fis-1254	231	35	23	23	NUM
fis-1254	231	36	552	552	NUM
fis-1254	231	37	/g	/g	PUNCT
fis-1254	231	38	g	g	PROPN
fis-1254	231	39	c	c	PROPN
fis-1254	231	40			NOUN
fis-1254	231	41	.	.	PUNCT
fis-1254	232	1	in	in	ADP
fis-1254	232	2	order	order	NOUN
fis-1254	232	3	to	to	PART
fis-1254	232	4	account	account	VERB
fis-1254	232	5	for	for	ADP
fis-1254	232	6	the	the	DET
fis-1254	232	7	correct	correct	ADJ
fis-1254	232	8	shear	shear	NOUN
fis-1254	232	9	deformations	deformation	NOUN
fis-1254	232	10	in	in	ADP
fis-1254	232	11	the	the	DET
fis-1254	232	12	solution	solution	NOUN
fis-1254	232	13	of	of	ADP
fis-1254	232	14	the	the	DET
fis-1254	232	15	differential	differential	ADJ
fis-1254	232	16	equations	equation	NOUN
fis-1254	232	17	,	,	PUNCT
fis-1254	232	18	a	a	DET
fis-1254	232	19	shear	shear	NOUN
fis-1254	232	20	correction	correction	NOUN
fis-1254	232	21	factor	factor	NOUN
fis-1254	232	22	,	,	PUNCT
fis-1254	232	23	2k	2k	NUM
fis-1254	232	24	,	,	PUNCT
fis-1254	232	25	can	can	AUX
fis-1254	232	26	be	be	AUX
fis-1254	232	27	introduced	introduce	VERB
fis-1254	232	28	such	such	ADJ
fis-1254	232	29	that	that	SCONJ
fis-1254	232	30	2	2	NUM
fis-1254	232	31	23	23	NUM
fis-1254	232	32	23	23	NUM
fis-1254	232	33	552	552	NUM
fis-1254	232	34	/	/	SYM
fis-1254	232	35	(	(	PUNCT
fis-1254	232	36	)	)	PUNCT
fis-1254	232	37	k	k	PROPN
fis-1254	232	38	c	c	PROPN
fis-1254	232	39			NOUN
fis-1254	232	40	.	.	PUNCT
fis-1254	233	1	2k	2k	NOUN
fis-1254	233	2	is	be	AUX
fis-1254	233	3	equal	equal	ADJ
fis-1254	233	4	to	to	ADP
fis-1254	233	5	5/6	5/6	NUM
fis-1254	233	6	in	in	ADP
fis-1254	233	7	fully	fully	ADV
fis-1254	233	8	bonded	bond	VERB
fis-1254	233	9	unidirectionally	unidirectionally	ADV
fis-1254	233	10	reinforced	reinforce	VERB
fis-1254	233	11	plates	plate	NOUN
fis-1254	233	12	,	,	PUNCT
fis-1254	233	13	to	to	PART
fis-1254	233	14	account	account	VERB
fis-1254	233	15	for	for	ADP
fis-1254	233	16	the	the	DET
fis-1254	233	17	approximated	approximate	VERB
fis-1254	233	18	constant	constant	ADJ
fis-1254	233	19	distribution	distribution	NOUN
fis-1254	233	20	of	of	ADP
fis-1254	233	21	23	23	NUM
fis-1254	233	22	in	in	ADP
fis-1254	233	23	the	the	DET
fis-1254	233	24	thickness	thickness	NOUN
fis-1254	233	25	,	,	PUNCT
fis-1254	233	26	and	and	CCONJ
fis-1254	233	27	it	it	PRON
fis-1254	233	28	becomes	become	VERB
fis-1254	233	29	a	a	DET
fis-1254	233	30	problem	problem	NOUN
fis-1254	233	31	dependent	dependent	ADJ
fis-1254	233	32	parameter	parameter	NOUN
fis-1254	233	33	in	in	ADP
fis-1254	233	34	multilayered	multilayered	ADJ
fis-1254	233	35	plates	plate	NOUN
fis-1254	233	36	,	,	PUNCT
fis-1254	234	1	e.g.	e.g.	ADV
fis-1254	234	2	[	[	X
fis-1254	234	3	22	22	NUM
fis-1254	234	4	]	]	X
fis-1254	234	5	;	;	PUNCT
fis-1254	234	6	in	in	ADP
fis-1254	234	7	[	[	X
fis-1254	234	8	9	9	X
fis-1254	234	9	]	]	PUNCT
fis-1254	234	10	it	it	PRON
fis-1254	234	11	was	be	AUX
fis-1254	234	12	shown	show	VERB
fis-1254	234	13	that	that	SCONJ
fis-1254	234	14	,	,	PUNCT
fis-1254	234	15	for	for	ADP
fis-1254	234	16	simply	simply	ADV
fis-1254	234	17	supported	support	VERB
fis-1254	234	18	plates	plate	NOUN
fis-1254	234	19	with	with	ADP
fis-1254	234	20	common	common	ADJ
fis-1254	234	21	layups	layup	NOUN
fis-1254	234	22	and	and	CCONJ
fis-1254	234	23	geometrical	geometrical	ADJ
fis-1254	234	24	/	/	SYM
fis-1254	234	25	loading	loading	NOUN
fis-1254	234	26	conditions	condition	NOUN
fis-1254	234	27	,	,	PUNCT
fis-1254	234	28	the	the	DET
fis-1254	234	29	homogenized	homogenized	ADJ
fis-1254	234	30	zigzag	zigzag	NOUN
fis-1254	234	31	theory	theory	NOUN
fis-1254	234	32	with	with	ADP
fis-1254	234	33	2k	2k	NOUN
fis-1254	234	34	=	=	SYM
fis-1254	234	35	1	1	NUM
fis-1254	234	36	leads	lead	VERB
fis-1254	234	37	to	to	ADP
fis-1254	234	38	accurate	accurate	ADJ
fis-1254	234	39	predictions	prediction	NOUN
fis-1254	234	40	of	of	ADP
fis-1254	234	41	the	the	DET
fis-1254	234	42	displacement	displacement	ADJ
fis-1254	234	43	field	field	NOUN
fis-1254	234	44	.	.	PUNCT
fis-1254	235	1	in	in	ADP
fis-1254	235	2	plates	plate	NOUN
fis-1254	235	3	with	with	ADP
fis-1254	235	4	imperfect	imperfect	ADJ
fis-1254	235	5	interfaces	interface	NOUN
fis-1254	235	6	,	,	PUNCT
fis-1254	235	7	2k	2k	PROPN
fis-1254	235	8	must	must	AUX
fis-1254	235	9	depend	depend	VERB
fis-1254	235	10	on	on	ADP
fis-1254	235	11	the	the	DET
fis-1254	235	12	stiffness	stiffness	NOUN
fis-1254	235	13	of	of	ADP
fis-1254	235	14	the	the	DET
fis-1254	235	15	interfaces	interface	NOUN
fis-1254	235	16	.	.	PUNCT
fis-1254	236	1	work	work	VERB
fis-1254	236	2	in	in	ADP
fis-1254	236	3	in	in	ADP
fis-1254	236	4	progress	progress	NOUN
fis-1254	236	5	on	on	ADP
fis-1254	236	6	the	the	DET
fis-1254	236	7	derivation	derivation	NOUN
fis-1254	236	8	of	of	ADP
fis-1254	236	9	2k	2k	NUM
fis-1254	236	10	and	and	CCONJ
fis-1254	236	11	results	result	NOUN
fis-1254	236	12	are	be	AUX
fis-1254	236	13	presented	present	VERB
fis-1254	236	14	here	here	ADV
fis-1254	236	15	for	for	ADP
fis-1254	236	16	2k	2k	NOUN
fis-1254	236	17	=	=	SYM
fis-1254	236	18	5/6	5/6	NUM
fis-1254	236	19	(	(	PUNCT
fis-1254	236	20	see	see	VERB
fis-1254	236	21	also	also	ADV
fis-1254	236	22	[	[	X
fis-1254	236	23	18	18	NUM
fis-1254	236	24	-	-	SYM
fis-1254	236	25	19	19	NUM
fis-1254	236	26	]	]	PUNCT
fis-1254	236	27	)	)	PUNCT
fis-1254	236	28	.	.	PUNCT
fis-1254	237	1	r	r	NOUN
fis-1254	237	2	massabò	massabò	PROPN
fis-1254	237	3	,	,	PUNCT
fis-1254	237	4	frattura	frattura	PROPN
fis-1254	237	5	ed	ed	PROPN
fis-1254	237	6	integrità	integrità	PROPN
fis-1254	237	7	strutturale	strutturale	PROPN
fis-1254	237	8	,	,	PUNCT
fis-1254	237	9	29	29	NUM
fis-1254	237	10	(	(	PUNCT
fis-1254	237	11	2014	2014	NUM
fis-1254	237	12	)	)	PUNCT
fis-1254	237	13	230	230	NUM
fis-1254	237	14	-	-	SYM
fis-1254	237	15	240	240	NUM
fis-1254	237	16	;	;	PUNCT
fis-1254	237	17	doi	doi	NOUN
fis-1254	237	18	:	:	PUNCT
fis-1254	237	19	10.3221	10.3221	NUM
fis-1254	237	20	/	/	SYM
fis-1254	237	21	igf	igf	PROPN
fis-1254	237	22	-	-	PUNCT
fis-1254	237	23	esis.29.20	esis.29.20	PROPN
fis-1254	237	24	237	237	NUM
fis-1254	237	25	applications	application	NOUN
fis-1254	237	26	highly	highly	ADV
fis-1254	237	27	anisotropic	anisotropic	NOUN
fis-1254	237	28	,	,	PUNCT
fis-1254	237	29	simply	simply	ADV
fis-1254	237	30	supported	support	VERB
fis-1254	237	31	,	,	PUNCT
fis-1254	237	32	multilayered	multilayere	VERB
fis-1254	237	33	wide	wide	ADJ
fis-1254	237	34	plates	plate	NOUN
fis-1254	237	35	with	with	ADP
fis-1254	237	36	imperfect	imperfect	ADJ
fis-1254	237	37	interfaces	interface	NOUN
fis-1254	237	38	he	he	PRON
fis-1254	237	39	homogenized	homogenize	VERB
fis-1254	237	40	model	model	NOUN
fis-1254	237	41	for	for	ADP
fis-1254	237	42	multilayered	multilayered	ADJ
fis-1254	237	43	plates	plate	NOUN
fis-1254	237	44	with	with	ADP
fis-1254	237	45	imperfect	imperfect	ADJ
fis-1254	237	46	interfaces	interface	NOUN
fis-1254	237	47	has	have	AUX
fis-1254	237	48	been	be	AUX
fis-1254	237	49	verified	verify	VERB
fis-1254	237	50	against	against	ADP
fis-1254	237	51	exact	exact	ADJ
fis-1254	237	52	2d	2d	NUM
fis-1254	237	53	elasticity	elasticity	NOUN
fis-1254	237	54	solutions	solution	NOUN
fis-1254	237	55	in	in	ADP
fis-1254	237	56	[	[	X
fis-1254	237	57	18,19	18,19	NUM
fis-1254	237	58	]	]	PUNCT
fis-1254	237	59	.	.	PUNCT
fis-1254	238	1	simply	simply	ADV
fis-1254	238	2	supported	support	VERB
fis-1254	238	3	,	,	PUNCT
fis-1254	238	4	highly	highly	ADV
fis-1254	238	5	anisotropic	anisotropic	NOUN
fis-1254	238	6	multilayered	multilayere	VERB
fis-1254	238	7	plates	plate	NOUN
fis-1254	238	8	,	,	PUNCT
fis-1254	238	9	loaded	load	VERB
fis-1254	238	10	quasi	quasi	NOUN
fis-1254	238	11	-	-	PUNCT
fis-1254	238	12	statically	statically	ADV
fis-1254	238	13	,	,	PUNCT
fis-1254	238	14	with	with	ADP
fis-1254	238	15	one	one	NUM
fis-1254	238	16	or	or	CCONJ
fis-1254	238	17	more	more	ADV
fis-1254	238	18	weak	weak	ADJ
fis-1254	238	19	layers	layer	NOUN
fis-1254	238	20	have	have	AUX
fis-1254	238	21	been	be	AUX
fis-1254	238	22	examined	examine	VERB
fis-1254	238	23	on	on	ADP
fis-1254	238	24	varying	vary	VERB
fis-1254	238	25	the	the	DET
fis-1254	238	26	properties	property	NOUN
fis-1254	238	27	of	of	ADP
fis-1254	238	28	both	both	DET
fis-1254	238	29	layers	layer	NOUN
fis-1254	238	30	and	and	CCONJ
fis-1254	238	31	interfaces	interface	NOUN
fis-1254	238	32	.	.	PUNCT
fis-1254	239	1	the	the	DET
fis-1254	239	2	whole	whole	ADJ
fis-1254	239	3	transition	transition	NOUN
fis-1254	239	4	between	between	ADP
fis-1254	239	5	fully	fully	ADV
fis-1254	239	6	bonded	bond	VERB
fis-1254	239	7	and	and	CCONJ
fis-1254	239	8	fully	fully	ADV
fis-1254	239	9	debonded	debonde	VERB
fis-1254	239	10	plates	plate	NOUN
fis-1254	239	11	has	have	AUX
fis-1254	239	12	been	be	AUX
fis-1254	239	13	considered	consider	VERB
fis-1254	239	14	.	.	PUNCT
fis-1254	240	1	the	the	DET
fis-1254	240	2	diagrams	diagram	NOUN
fis-1254	240	3	in	in	ADP
fis-1254	240	4	fig	fig	NOUN
fis-1254	240	5	.	.	PUNCT
fis-1254	241	1	2	2	NUM
fis-1254	241	2	show	show	NOUN
fis-1254	241	3	exemplary	exemplary	ADJ
fis-1254	241	4	results	result	NOUN
fis-1254	241	5	taken	take	VERB
fis-1254	241	6	from	from	ADP
fis-1254	241	7	[	[	X
fis-1254	241	8	19	19	NUM
fis-1254	241	9	]	]	PUNCT
fis-1254	241	10	and	and	CCONJ
fis-1254	241	11	refer	refer	VERB
fis-1254	241	12	to	to	ADP
fis-1254	241	13	a	a	DET
fis-1254	241	14	highly	highly	ADV
fis-1254	241	15	anisotropic	anisotropic	NOUN
fis-1254	241	16	,	,	PUNCT
fis-1254	241	17	thick	thick	ADJ
fis-1254	241	18	plate	plate	NOUN
fis-1254	241	19	,	,	PUNCT
fis-1254	241	20	with	with	ADP
fis-1254	241	21	two	two	NUM
fis-1254	241	22	imperfect	imperfect	ADJ
fis-1254	241	23	interfaces	interface	NOUN
fis-1254	241	24	having	have	VERB
fis-1254	241	25	different	different	ADJ
fis-1254	241	26	stiffnesses	stiffness	NOUN
fis-1254	241	27	.	.	PUNCT
fis-1254	242	1	(	(	PUNCT
fis-1254	242	2	a	a	X
fis-1254	242	3	)	)	PUNCT
fis-1254	242	4	(	(	PUNCT
fis-1254	242	5	b	b	X
fis-1254	242	6	)	)	PUNCT
fis-1254	242	7	(	(	PUNCT
fis-1254	242	8	d	d	X
fis-1254	242	9	)	)	PUNCT
fis-1254	242	10	(	(	PUNCT
fis-1254	242	11	e	e	NOUN
fis-1254	242	12	)	)	PUNCT
fis-1254	242	13	figure	figure	NOUN
fis-1254	242	14	2	2	NUM
fis-1254	242	15	.	.	PUNCT
fis-1254	242	16	simply	simply	ADV
fis-1254	242	17	supported	support	VERB
fis-1254	242	18	wide	wide	ADJ
fis-1254	242	19	plate	plate	NOUN
fis-1254	242	20	with	with	ADP
fis-1254	242	21	l	l	NOUN
fis-1254	242	22	/	/	SYM
fis-1254	242	23	h	h	NOUN
fis-1254	242	24	=	=	SYM
fis-1254	242	25	4	4	NUM
fis-1254	242	26	subjected	subject	VERB
fis-1254	242	27	to	to	ADP
fis-1254	242	28	a	a	DET
fis-1254	242	29	sinusoidal	sinusoidal	ADJ
fis-1254	242	30	transverse	transverse	NOUN
fis-1254	242	31	load	load	NOUN
fis-1254	242	32	,	,	PUNCT
fis-1254	242	33			NOUN
fis-1254	242	34	0	0	NOUN
fis-1254	243	1	2	2	NUM
fis-1254	243	2	sinq	sinq	NOUN
fis-1254	243	3	q	q	NOUN
fis-1254	243	4	x	x	X
fis-1254	243	5	l	l	NOUN
fis-1254	243	6	.	.	PUNCT
fis-1254	244	1	stacking	stack	VERB
fis-1254	244	2	sequence	sequence	NOUN
fis-1254	244	3	:	:	PUNCT
fis-1254	244	4	three	three	NUM
fis-1254	244	5	layers	layer	NOUN
fis-1254	244	6	,	,	PUNCT
fis-1254	244	7	(	(	PUNCT
fis-1254	244	8	0/90/0	0/90/0	NUM
fis-1254	244	9	)	)	PUNCT
fis-1254	244	10	,	,	PUNCT
fis-1254	244	11	elastic	elastic	ADJ
fis-1254	244	12	constants	constant	NOUN
fis-1254	244	13	:	:	PUNCT
fis-1254	244	14	25	25	NUM
fis-1254	244	15	/	/	SYM
fis-1254	244	16	t	t	X
fis-1254	244	17	le	le	X
fis-1254	244	18	e	e	PROPN
fis-1254	244	19	,	,	PUNCT
fis-1254	244	20	50	50	NUM
fis-1254	244	21	/	/	SYM
fis-1254	244	22	lt	lt	PRON
fis-1254	244	23	lg	lg	NOUN
fis-1254	244	24	e	e	PROPN
fis-1254	244	25	,	,	PUNCT
fis-1254	244	26	125	125	NUM
fis-1254	244	27	/	/	SYM
fis-1254	244	28	tt	tt	PROPN
fis-1254	244	29	lg	lg	PROPN
fis-1254	244	30	e	e	PROPN
fis-1254	244	31	and	and	CCONJ
fis-1254	244	32	0	0	NUM
fis-1254	244	33	25.lt	25.lt	NUM
fis-1254	244	34	tt	tt	NOUN
fis-1254	244	35			VERB
fis-1254	244	36			PRON
fis-1254	245	1	[	[	X
fis-1254	245	2	1	1	NUM
fis-1254	245	3	]	]	PUNCT
fis-1254	245	4	.	.	PUNCT
fis-1254	246	1	(	(	PUNCT
fis-1254	246	2	a	a	X
fis-1254	246	3	)	)	PUNCT
fis-1254	246	4	longitudinal	longitudinal	ADJ
fis-1254	246	5	displacements	displacement	NOUN
fis-1254	246	6	and	and	CCONJ
fis-1254	246	7	(	(	PUNCT
fis-1254	246	8	b	b	NOUN
fis-1254	246	9	)	)	PUNCT
fis-1254	246	10	transverse	transverse	NOUN
fis-1254	246	11	shear	shear	NOUN
fis-1254	246	12	stresses	stress	NOUN
fis-1254	246	13	at	at	ADP
fis-1254	246	14	the	the	DET
fis-1254	246	15	end	end	NOUN
fis-1254	246	16	support	support	NOUN
fis-1254	246	17	,	,	PUNCT
fis-1254	246	18	(	(	PUNCT
fis-1254	246	19	c	c	X
fis-1254	246	20	)	)	PUNCT
fis-1254	246	21	bending	bend	VERB
fis-1254	246	22	stresses	stress	NOUN
fis-1254	246	23	and	and	CCONJ
fis-1254	246	24	(	(	PUNCT
fis-1254	246	25	d	d	X
fis-1254	246	26	)	)	PUNCT
fis-1254	246	27	transverse	transverse	NOUN
fis-1254	246	28	normal	normal	ADJ
fis-1254	246	29	stresses	stress	NOUN
fis-1254	246	30	at	at	ADP
fis-1254	246	31	mid	mid	NOUN
fis-1254	246	32	-	-	NOUN
fis-1254	246	33	span	span	NOUN
fis-1254	246	34	.	.	PUNCT
fis-1254	247	1	stresses	stress	NOUN
fis-1254	247	2	are	be	AUX
fis-1254	247	3	shown	show	VERB
fis-1254	247	4	through	through	ADP
fis-1254	247	5	the	the	DET
fis-1254	247	6	thickness	thickness	NOUN
fis-1254	247	7	(	(	PUNCT
fis-1254	247	8	transverse	transverse	ADJ
fis-1254	247	9	shear	shear	NOUN
fis-1254	247	10	/	/	SYM
fis-1254	247	11	normal	normal	ADJ
fis-1254	247	12	stresses	stress	NOUN
fis-1254	247	13	derived	derive	VERB
fis-1254	247	14	a	a	DET
fis-1254	247	15	posteriori	posteriori	NOUN
fis-1254	247	16	from	from	ADP
fis-1254	247	17	equilibrium	equilibrium	NOUN
fis-1254	247	18	)	)	PUNCT
fis-1254	247	19	.	.	PUNCT
fis-1254	248	1	lower	low	ADJ
fis-1254	248	2	interface	interface	NOUN
fis-1254	248	3	,	,	PUNCT
fis-1254	248	4	1	1	NUM
fis-1254	248	5	4s	4s	NUM
fis-1254	248	6	tb	tb	X
fis-1254	248	7	e	e	NOUN
fis-1254	248	8	h	h	NOUN
fis-1254	248	9			PROPN
fis-1254	248	10	(	(	PUNCT
fis-1254	248	11	very	very	ADV
fis-1254	248	12	compliant	compliant	ADJ
fis-1254	248	13	)	)	PUNCT
fis-1254	248	14	,	,	PUNCT
fis-1254	248	15	with	with	ADP
fis-1254	248	16	21/	21/	NUM
fis-1254	248	17	(	(	PUNCT
fis-1254	248	18	)	)	PUNCT
fis-1254	248	19	t	t	PROPN
fis-1254	248	20	t	t	PROPN
fis-1254	248	21	tte	tte	PROPN
fis-1254	248	22	e	e	PROPN
fis-1254	248	23			VERB
fis-1254	248	24			NOUN
fis-1254	248	25	,	,	PUNCT
fis-1254	248	26	upper	upper	ADJ
fis-1254	248	27	interface	interface	NOUN
fis-1254	248	28	,	,	PUNCT
fis-1254	248	29	2	2	NUM
fis-1254	248	30	4	4	NUM
fis-1254	248	31	11	11	NUM
fis-1254	248	32	10s	10	NOUN
fis-1254	248	33	sb	sb	PROPN
fis-1254	248	34	b	b	PROPN
fis-1254	248	35			PROPN
fis-1254	248	36	(	(	PUNCT
fis-1254	248	37	almost	almost	ADV
fis-1254	248	38	fully	fully	ADV
fis-1254	248	39	bonded	bond	VERB
fis-1254	248	40	)	)	PUNCT
fis-1254	248	41	.	.	PUNCT
fis-1254	249	1	(	(	PUNCT
fis-1254	249	2	modified	modify	VERB
fis-1254	249	3	after	after	ADP
fis-1254	249	4	[	[	X
fis-1254	249	5	19	19	NUM
fis-1254	249	6	]	]	NUM
fis-1254	249	7	)	)	PUNCT
fis-1254	249	8	.	.	PUNCT
fis-1254	250	1	wide	wide	ADJ
fis-1254	250	2	plates	plate	NOUN
fis-1254	250	3	with	with	ADP
fis-1254	250	4	clamped	clamp	VERB
fis-1254	250	5	edges	edge	NOUN
fis-1254	250	6	the	the	DET
fis-1254	250	7	zigzag	zigzag	NOUN
fis-1254	250	8	theory	theory	NOUN
fis-1254	250	9	for	for	ADP
fis-1254	250	10	fully	fully	ADV
fis-1254	250	11	bonded	bond	VERB
fis-1254	250	12	plates	plate	NOUN
fis-1254	250	13	[	[	X
fis-1254	250	14	9,10	9,10	NUM
fis-1254	250	15	]	]	PUNCT
fis-1254	250	16	was	be	AUX
fis-1254	250	17	applied	apply	VERB
fis-1254	250	18	in	in	ADP
fis-1254	250	19	[	[	X
fis-1254	250	20	17	17	NUM
fis-1254	250	21	]	]	PUNCT
fis-1254	250	22	to	to	ADP
fis-1254	250	23	a	a	DET
fis-1254	250	24	multilayered	multilayered	ADJ
fis-1254	250	25	cantilever	cantilever	NOUN
fis-1254	250	26	beam	beam	NOUN
fis-1254	250	27	subjected	subject	VERB
fis-1254	250	28	to	to	ADP
fis-1254	250	29	a	a	DET
fis-1254	250	30	concentrated	concentrated	ADJ
fis-1254	250	31	force	force	NOUN
fis-1254	250	32	f	f	PROPN
fis-1254	250	33	at	at	ADP
fis-1254	250	34	the	the	DET
fis-1254	250	35	free	free	ADJ
fis-1254	250	36	end	end	NOUN
fis-1254	250	37	.	.	PUNCT
fis-1254	251	1	the	the	DET
fis-1254	251	2	authors	author	NOUN
fis-1254	251	3	noted	note	VERB
fis-1254	251	4	that	that	SCONJ
fis-1254	251	5	the	the	DET
fis-1254	251	6	shear	shear	NOUN
fis-1254	251	7	force	force	NOUN
fis-1254	251	8	was	be	AUX
fis-1254	251	9	not	not	PART
fis-1254	251	10	constant	constant	ADJ
fis-1254	251	11	along	along	ADP
fis-1254	251	12	the	the	DET
fis-1254	251	13	beam	beam	NOUN
fis-1254	251	14	length	length	NOUN
fis-1254	251	15	,	,	PUNCT
fis-1254	251	16	as	as	SCONJ
fis-1254	251	17	they	they	PRON
fis-1254	251	18	would	would	AUX
fis-1254	251	19	have	have	AUX
fis-1254	251	20	expected	expect	VERB
fis-1254	251	21	given	give	VERB
fis-1254	251	22	the	the	DET
fis-1254	251	23	linear	linear	ADJ
fis-1254	251	24	distribution	distribution	NOUN
fis-1254	251	25	of	of	ADP
fis-1254	251	26	the	the	DET
fis-1254	251	27	bending	bend	VERB
fis-1254	251	28	moment	moment	NOUN
fis-1254	251	29	.	.	PUNCT
fis-1254	252	1	in	in	ADP
fis-1254	252	2	addition	addition	NOUN
fis-1254	252	3	,	,	PUNCT
fis-1254	252	4	the	the	DET
fis-1254	252	5	shear	shear	NOUN
fis-1254	252	6	force	force	NOUN
fis-1254	252	7	increased	increase	VERB
fis-1254	252	8	from	from	ADP
fis-1254	252	9	zero	zero	NUM
fis-1254	252	10	(	(	PUNCT
fis-1254	252	11	at	at	ADP
fis-1254	252	12	the	the	DET
fis-1254	252	13	clamped	clamp	VERB
fis-1254	252	14	edge	edge	NOUN
fis-1254	252	15	)	)	PUNCT
fis-1254	252	16	to	to	ADP
fis-1254	252	17	an	an	DET
fis-1254	252	18	asymptotic	asymptotic	ADJ
fis-1254	252	19	value	value	NOUN
fis-1254	252	20	higher	high	ADJ
fis-1254	252	21	than	than	ADP
fis-1254	252	22	f.	f.	NOUN
fis-1254	252	23	these	these	DET
fis-1254	252	24	apparent	apparent	ADJ
fis-1254	252	25	inconsistencies	inconsistency	NOUN
fis-1254	252	26	are	be	AUX
fis-1254	252	27	explained	explain	VERB
fis-1254	252	28	by	by	ADP
fis-1254	252	29	eq	eq	PROPN
fis-1254	252	30	.	.	PROPN
fis-1254	253	1	(	(	PUNCT
fis-1254	253	2	17b	17b	NUM
fis-1254	253	3	)	)	PUNCT
fis-1254	253	4	,	,	PUNCT
fis-1254	253	5	(	(	PUNCT
fis-1254	253	6	18c	18c	NUM
fis-1254	253	7	)	)	PUNCT
fis-1254	253	8	and	and	CCONJ
fis-1254	253	9	(	(	PUNCT
fis-1254	253	10	19c	19c	NUM
fis-1254	253	11	)	)	PUNCT
fis-1254	253	12	,	,	PUNCT
fis-1254	253	13	which	which	PRON
fis-1254	253	14	show	show	VERB
fis-1254	253	15	that	that	SCONJ
fis-1254	253	16	the	the	DET
fis-1254	253	17	internal	internal	ADJ
fis-1254	253	18	gross	gross	ADJ
fis-1254	253	19	stress	stress	NOUN
fis-1254	253	20	resultant	resultant	VERB
fis-1254	253	21	related	relate	VERB
fis-1254	253	22	to	to	ADP
fis-1254	253	23	the	the	DET
fis-1254	253	24	bending	bend	VERB
fis-1254	253	25	moment	moment	NOUN
fis-1254	253	26	,	,	PUNCT
fis-1254	253	27	through	through	ADP
fis-1254	253	28	eq	eq	NOUN
fis-1254	253	29	.	.	PUNCT
fis-1254	253	30	(	(	PUNCT
fis-1254	253	31	17b	17b	NUM
fis-1254	253	32	)	)	PUNCT
fis-1254	254	1	,	,	PUNCT
fis-1254	254	2	is	be	AUX
fis-1254	254	3	the	the	DET
fis-1254	254	4	generalized	generalized	ADJ
fis-1254	254	5	transverse	transverse	NOUN
fis-1254	254	6	shear	shear	NOUN
fis-1254	254	7	force	force	NOUN
fis-1254	254	8	,	,	PUNCT
fis-1254	254	9	eq	eq	NOUN
fis-1254	254	10	.	.	PROPN
fis-1254	254	11	(	(	PUNCT
fis-1254	254	12	18c	18c	NUM
fis-1254	254	13	)	)	PUNCT
fis-1254	254	14	,	,	PUNCT
fis-1254	254	15	which	which	PRON
fis-1254	254	16	is	be	AUX
fis-1254	254	17	statically	statically	ADV
fis-1254	254	18	equivalent	equivalent	ADJ
fis-1254	254	19	to	to	ADP
fis-1254	254	20	the	the	DET
fis-1254	254	21	vertical	vertical	ADJ
fis-1254	254	22	equilibrant	equilibrant	NOUN
fis-1254	254	23	of	of	ADP
fis-1254	254	24	the	the	DET
fis-1254	254	25	external	external	ADJ
fis-1254	254	26	forces	force	NOUN
fis-1254	254	27	acting	act	VERB
fis-1254	254	28	on	on	ADP
fis-1254	254	29	the	the	DET
fis-1254	254	30	portion	portion	NOUN
fis-1254	254	31	of	of	ADP
fis-1254	254	32	the	the	DET
fis-1254	254	33	plate	plate	NOUN
fis-1254	254	34	to	to	ADP
fis-1254	254	35	the	the	DET
fis-1254	254	36	right	right	NOUN
fis-1254	254	37	of	of	ADP
fis-1254	254	38	each	each	DET
fis-1254	254	39	arbitrary	arbitrary	ADJ
fis-1254	254	40	cross	cross	NOUN
fis-1254	254	41	section	section	NOUN
fis-1254	254	42	,	,	PUNCT
fis-1254	254	43	2	2	NUM
fis-1254	254	44	gq	gq	NOUN
fis-1254	254	45	f	f	PROPN
fis-1254	254	46	.	.	PUNCT
fis-1254	255	1	the	the	DET
fis-1254	255	2	diagrams	diagram	NOUN
fis-1254	255	3	in	in	ADP
fis-1254	255	4	fig	fig	NOUN
fis-1254	255	5	.	.	PUNCT
fis-1254	256	1	3	3	NUM
fis-1254	256	2	refer	refer	VERB
fis-1254	256	3	to	to	ADP
fis-1254	256	4	a	a	DET
fis-1254	256	5	cantilevered	cantilever	VERB
fis-1254	256	6	wide	wide	ADJ
fis-1254	256	7	plate	plate	NOUN
fis-1254	256	8	of	of	ADP
fis-1254	256	9	length	length	NOUN
fis-1254	256	10	l	l	PROPN
fis-1254	256	11	/	/	SYM
fis-1254	256	12	h	h	NOUN
fis-1254	256	13	=	=	SYM
fis-1254	256	14	10	10	NUM
fis-1254	256	15	made	make	VERB
fis-1254	256	16	with	with	ADP
fis-1254	256	17	two	two	NUM
fis-1254	256	18	unidirectionally	unidirectionally	ADV
fis-1254	256	19	reinforced	reinforce	VERB
fis-1254	256	20	layers	layer	NOUN
fis-1254	256	21	with	with	ADP
fis-1254	256	22	elastic	elastic	ADJ
fis-1254	256	23	constants	constant	NOUN
fis-1254	256	24	,	,	PUNCT
fis-1254	256	25	25	25	NUM
fis-1254	256	26	/	/	SYM
fis-1254	256	27	t	t	NOUN
fis-1254	256	28	le	le	X
fis-1254	256	29	e	e	PROPN
fis-1254	256	30	,	,	PUNCT
fis-1254	256	31	50	50	NUM
fis-1254	256	32	/	/	SYM
fis-1254	256	33	lt	lt	DET
fis-1254	256	34	lg	lg	NOUN
fis-1254	256	35	e	e	PROPN
fis-1254	256	36	,	,	PUNCT
fis-1254	256	37	and	and	CCONJ
fis-1254	256	38	0	0	NUM
fis-1254	256	39	25.lt	25.lt	NUM
fis-1254	256	40	tt	tt	NOUN
fis-1254	256	41			VERB
fis-1254	256	42			PRON
fis-1254	256	43	,	,	PUNCT
fis-1254	256	44	connected	connect	VERB
fis-1254	256	45	by	by	ADP
fis-1254	256	46	a	a	DET
fis-1254	256	47	linearly	linearly	ADV
fis-1254	256	48	elastic	elastic	ADJ
fis-1254	256	49	weak	weak	ADJ
fis-1254	256	50	layer	layer	NOUN
fis-1254	256	51	with	with	ADP
fis-1254	256	52	1	1	NUM
fis-1254	256	53	1	1	NUM
fis-1254	256	54	1	1	NUM
fis-1254	256	55	23	23	NUM
fis-1254	256	56	2	2	NUM
fis-1254	256	57	ˆ	ˆ	NOUN
fis-1254	256	58	ˆ	ˆ	ADJ
fis-1254	256	59	ˆs	ˆs	NOUN
fis-1254	256	60	sk	sk	ADP
fis-1254	256	61	v	v	PROPN
fis-1254	256	62			PROPN
fis-1254	256	63			PROPN
fis-1254	256	64	.	.	PUNCT
fis-1254	257	1	diagram	diagram	NOUN
fis-1254	257	2	(	(	PUNCT
fis-1254	257	3	a	a	X
fis-1254	257	4	)	)	PUNCT
fis-1254	257	5	depicts	depict	VERB
fis-1254	257	6	the	the	DET
fis-1254	257	7	transverse	transverse	ADJ
fis-1254	257	8	shear	shear	NOUN
fis-1254	257	9	force	force	NOUN
fis-1254	257	10	,	,	PUNCT
fis-1254	257	11	2	2	NUM
fis-1254	257	12	bq	bq	NOUN
fis-1254	257	13	eq	eq	NOUN
fis-1254	257	14	.	.	PROPN
fis-1254	258	1	(	(	PUNCT
fis-1254	258	2	18d	18d	NUM
fis-1254	258	3	)	)	PUNCT
fis-1254	258	4	,	,	PUNCT
fis-1254	258	5	along	along	ADP
fis-1254	258	6	the	the	DET
fis-1254	258	7	plate	plate	NOUN
fis-1254	258	8	length	length	NOUN
fis-1254	258	9	for	for	ADP
fis-1254	258	10	different	different	ADJ
fis-1254	258	11	values	value	NOUN
fis-1254	258	12	of	of	ADP
fis-1254	258	13	the	the	DET
fis-1254	258	14	elastic	elastic	ADJ
fis-1254	258	15	interfacial	interfacial	ADJ
fis-1254	258	16	stiffness	stiffness	NOUN
fis-1254	258	17	and	and	CCONJ
fis-1254	258	18	highlights	highlight	NOUN
fis-1254	258	19	the	the	DET
fis-1254	258	20	apparent	apparent	ADJ
fis-1254	258	21	inconsistency	inconsistency	NOUN
fis-1254	258	22	noted	note	VERB
fis-1254	258	23	in	in	ADP
fis-1254	258	24	[	[	X
fis-1254	258	25	17	17	NUM
fis-1254	258	26	]	]	PUNCT
fis-1254	258	27	for	for	ADP
fis-1254	258	28	a	a	DET
fis-1254	258	29	fully	fully	ADV
fis-1254	258	30	bonded	bond	VERB
fis-1254	258	31	multilayered	multilayere	VERB
fis-1254	258	32	plate	plate	NOUN
fis-1254	258	33	.	.	PUNCT
fis-1254	259	1	note	note	VERB
fis-1254	259	2	that	that	SCONJ
fis-1254	259	3	2	2	NUM
fis-1254	259	4	bq	bq	NOUN
fis-1254	259	5	is	be	AUX
fis-1254	259	6	forced	force	VERB
fis-1254	259	7	to	to	PART
fis-1254	259	8	be	be	AUX
fis-1254	259	9	zero	zero	NUM
fis-1254	259	10	at	at	ADP
fis-1254	259	11	the	the	DET
fis-1254	259	12	boundary	boundary	NOUN
fis-1254	259	13	by	by	ADP
fis-1254	259	14	the	the	DET
fis-1254	259	15	geometric	geometric	ADJ
fis-1254	259	16	boundary	boundary	ADJ
fis-1254	259	17	conditions	condition	NOUN
fis-1254	259	18	at	at	ADP
fis-1254	259	19	2	2	NUM
fis-1254	259	20	0x	0x	NUM
fis-1254	259	21			NOUN
fis-1254	259	22	,	,	PUNCT
fis-1254	259	23	0	0	NUM
fis-1254	259	24	2	2	NUM
fis-1254	259	25	0	0	NUM
fis-1254	259	26	2	2	NUM
fis-1254	260	1	0	0	NOUN
fis-1254	260	2			NUM
fis-1254	260	3	,w	,w	PRON
fis-1254	260	4	w	w	NOUN
fis-1254	260	5	eq	eq	PROPN
fis-1254	260	6	.	.	PUNCT
fis-1254	261	1	(	(	PUNCT
fis-1254	261	2	19c	19c	NUM
fis-1254	261	3	,	,	PUNCT
fis-1254	261	4	d	d	NOUN
fis-1254	261	5	)	)	PUNCT
fis-1254	261	6	,	,	PUNCT
fis-1254	261	7	which	which	PRON
fis-1254	261	8	yield	yield	VERB
fis-1254	261	9	23	23	NUM
fis-1254	262	1	23	23	NUM
fis-1254	262	2	2	2	NUM
fis-1254	262	3	0bq	0bq	NUM
fis-1254	262	4			NOUN
fis-1254	262	5			PROPN
fis-1254	262	6			PROPN
fis-1254	262	7	.	.	PUNCT
fis-1254	263	1	diagram	diagram	NOUN
fis-1254	263	2	(	(	PUNCT
fis-1254	263	3	b	b	NOUN
fis-1254	263	4	)	)	PUNCT
fis-1254	263	5	highlights	highlight	NOUN
fis-1254	263	6	that	that	PRON
fis-1254	263	7	the	the	DET
fis-1254	263	8	generalized	generalized	ADJ
fis-1254	263	9	transverse	transverse	NOUN
fis-1254	263	10	shear	shear	NOUN
fis-1254	263	11	force	force	NOUN
fis-1254	263	12	in	in	ADP
fis-1254	263	13	eq	eq	ADP
fis-1254	263	14	.	.	PUNCT
fis-1254	264	1	(	(	PUNCT
fis-1254	264	2	18c	18c	NUM
fis-1254	264	3	)	)	PUNCT
fis-1254	264	4	,	,	PUNCT
fis-1254	264	5	2	2	NUM
fis-1254	264	6	gq	gq	NOUN
fis-1254	264	7	,	,	PUNCT
fis-1254	264	8	correctly	correctly	ADV
fis-1254	264	9	coincides	coincide	VERB
fis-1254	264	10	with	with	ADP
fis-1254	264	11	the	the	DET
fis-1254	264	12	external	external	ADJ
fis-1254	264	13	applied	apply	VERB
fis-1254	264	14	force	force	NOUN
fis-1254	264	15	f	f	PROPN
fis-1254	264	16	at	at	ADP
fis-1254	264	17	all	all	DET
fis-1254	264	18	coordinates	coordinate	NOUN
fis-1254	264	19	and	and	CCONJ
fis-1254	264	20	1	1	NUM
fis-1254	264	21	2	2	NUM
fis-1254	264	22	22	22	NUM
fis-1254	264	23	2	2	NUM
fis-1254	264	24	2	2	NUM
fis-1254	264	25	,	,	PUNCT
fis-1254	264	26	ˆb	ˆb	CCONJ
fis-1254	264	27	sq	sq	PROPN
fis-1254	264	28	f	f	PROPN
fis-1254	264	29	m	m	PROPN
fis-1254	264	30			NOUN
fis-1254	264	31			ADV
fis-1254	264	32			X
fis-1254	264	33	(	(	PUNCT
fis-1254	264	34	in	in	ADP
fis-1254	264	35	the	the	DET
fis-1254	264	36	example	example	NOUN
fis-1254	265	1	2	2	NUM
fis-1254	265	2	22	22	NUM
fis-1254	265	3	2	2	NUM
fis-1254	265	4	0	0	NUM
fis-1254	265	5	,	,	PUNCT
fis-1254	265	6	z	z	PROPN
fis-1254	265	7	zq	zq	PROPN
fis-1254	265	8	m	m	ADV
fis-1254	265	9			ADV
fis-1254	265	10	since	since	SCONJ
fis-1254	265	11	the	the	DET
fis-1254	265	12	layers	layer	NOUN
fis-1254	265	13	are	be	AUX
fis-1254	265	14	equals	equal	NOUN
fis-1254	265	15	;	;	PUNCT
fis-1254	265	16	in	in	ADP
fis-1254	265	17	[	[	X
fis-1254	265	18	17	17	NUM
fis-1254	265	19	]	]	SYM
fis-1254	265	20	2	2	NUM
fis-1254	265	21	2	2	NUM
fis-1254	265	22	2	2	NUM
fis-1254	265	23	22	22	NUM
fis-1254	265	24	2	2	NUM
fis-1254	265	25	,	,	PUNCT
fis-1254	265	26	b	b	PROPN
fis-1254	265	27	z	z	X
fis-1254	265	28	z	z	NOUN
fis-1254	265	29	gq	gq	NOUN
fis-1254	265	30	q	q	X
fis-1254	265	31	q	q	PROPN
fis-1254	265	32	m	m	NOUN
fis-1254	265	33			VERB
fis-1254	265	34			NOUN
fis-1254	265	35	and	and	CCONJ
fis-1254	265	36	1	1	NUM
fis-1254	265	37	22	22	NUM
fis-1254	265	38	2	2	NUM
fis-1254	265	39	2	2	NUM
fis-1254	265	40	0	0	NUM
fis-1254	265	41	,	,	PUNCT
fis-1254	265	42	ˆsm	ˆsm	NOUN
fis-1254	266	1			NOUN
fis-1254	266	2			NOUN
fis-1254	266	3	since	since	SCONJ
fis-1254	266	4	the	the	DET
fis-1254	266	5	plate	plate	NOUN
fis-1254	266	6	is	be	AUX
fis-1254	266	7	multilayered	multilayere	VERB
fis-1254	266	8	and	and	CCONJ
fis-1254	266	9	fully	fully	ADV
fis-1254	266	10	bonded	bond	VERB
fis-1254	266	11	)	)	PUNCT
fis-1254	266	12	.	.	PUNCT
fis-1254	267	1	diagram	diagram	NOUN
fis-1254	267	2	(	(	PUNCT
fis-1254	267	3	c	c	NOUN
fis-1254	267	4	)	)	PUNCT
fis-1254	267	5	compares	compare	VERB
fis-1254	267	6	the	the	DET
fis-1254	267	7	values	value	NOUN
fis-1254	267	8	of	of	ADP
fis-1254	267	9	the	the	DET
fis-1254	267	10	interfacial	interfacial	ADJ
fis-1254	267	11	tractions	traction	NOUN
fis-1254	267	12	along	along	ADP
fis-1254	267	13	the	the	DET
fis-1254	267	14	plate	plate	NOUN
fis-1254	267	15	length	length	NOUN
fis-1254	267	16	,	,	PUNCT
fis-1254	267	17	obtained	obtain	VERB
fis-1254	267	18	a	a	DET
fis-1254	267	19	posteriori	posteriori	NOUN
fis-1254	267	20	from	from	ADP
fis-1254	267	21	local	local	ADJ
fis-1254	267	22	equilibrium	equilibrium	NOUN
fis-1254	267	23	,	,	PUNCT
fis-1254	267	24	with	with	ADP
fis-1254	267	25	those	those	PRON
fis-1254	267	26	obtained	obtain	VERB
fis-1254	267	27	with	with	ADP
fis-1254	267	28	a	a	DET
fis-1254	267	29	classical	classical	ADJ
fis-1254	267	30	discrete	discrete	ADJ
fis-1254	267	31	layer	layer	NOUN
fis-1254	267	32	approach	approach	NOUN
fis-1254	267	33	[	[	X
fis-1254	267	34	6	6	NUM
fis-1254	267	35	-	-	SYM
fis-1254	267	36	8	8	NUM
fis-1254	267	37	]	]	PUNCT
fis-1254	267	38	and	and	CCONJ
fis-1254	267	39	shows	show	VERB
fis-1254	267	40	the	the	DET
fis-1254	267	41	existence	existence	NOUN
fis-1254	267	42	of	of	ADP
fis-1254	267	43	a	a	DET
fis-1254	267	44	boundary	boundary	ADJ
fis-1254	267	45	region	region	NOUN
fis-1254	267	46	near	near	ADP
fis-1254	267	47	the	the	DET
fis-1254	267	48	clamped	clamp	VERB
fis-1254	267	49	edge	edge	NOUN
fis-1254	267	50	where	where	SCONJ
fis-1254	267	51	the	the	DET
fis-1254	267	52	interfacial	interfacial	ADJ
fis-1254	267	53	tractions	traction	NOUN
fis-1254	267	54	predicted	predict	VERB
fis-1254	267	55	through	through	ADP
fis-1254	267	56	the	the	DET
fis-1254	267	57	homogenized	homogenized	ADJ
fis-1254	267	58	approach	approach	NOUN
fis-1254	267	59	are	be	AUX
fis-1254	267	60	not	not	PART
fis-1254	267	61	correctly	correctly	ADV
fis-1254	267	62	described	describe	VERB
fis-1254	267	63	(	(	PUNCT
fis-1254	267	64	bending	bend	VERB
fis-1254	267	65	stresses	stress	NOUN
fis-1254	267	66	,	,	PUNCT
fis-1254	267	67	not	not	PART
fis-1254	267	68	shown	show	VERB
fis-1254	267	69	,	,	PUNCT
fis-1254	267	70	are	be	AUX
fis-1254	267	71	accurately	accurately	ADV
fis-1254	267	72	t	t	NOUN
fis-1254	267	73	r	r	NOUN
fis-1254	267	74	massabò	massabò	PROPN
fis-1254	267	75	,	,	PUNCT
fis-1254	267	76	frattura	frattura	PROPN
fis-1254	267	77	ed	ed	PROPN
fis-1254	267	78	integrità	integrità	PROPN
fis-1254	267	79	strutturale	strutturale	PROPN
fis-1254	267	80	,	,	PUNCT
fis-1254	267	81	29(2014	29(2014	NUM
fis-1254	267	82	)	)	PUNCT
fis-1254	267	83	230	230	NUM
fis-1254	267	84	-	-	SYM
fis-1254	267	85	240	240	NUM
fis-1254	267	86	;	;	PUNCT
fis-1254	267	87	doi	doi	NOUN
fis-1254	267	88	:	:	PUNCT
fis-1254	267	89	10.3221	10.3221	NUM
fis-1254	267	90	/	/	SYM
fis-1254	267	91	igf	igf	PROPN
fis-1254	267	92	-	-	PUNCT
fis-1254	267	93	esis.29.20	esis.29.20	NOUN
fis-1254	267	94	238	238	NUM
fis-1254	267	95	predicted	predict	VERB
fis-1254	267	96	in	in	ADP
fis-1254	267	97	all	all	DET
fis-1254	267	98	cases	case	NOUN
fis-1254	267	99	)	)	PUNCT
fis-1254	267	100	.	.	PUNCT
fis-1254	268	1	this	this	PRON
fis-1254	268	2	is	be	AUX
fis-1254	268	3	a	a	DET
fis-1254	268	4	consequence	consequence	NOUN
fis-1254	268	5	of	of	ADP
fis-1254	268	6	the	the	DET
fis-1254	268	7	geometric	geometric	ADJ
fis-1254	268	8	boundary	boundary	ADJ
fis-1254	268	9	conditions	condition	NOUN
fis-1254	268	10	imposed	impose	VERB
fis-1254	268	11	at	at	ADP
fis-1254	268	12	the	the	DET
fis-1254	268	13	clamped	clamp	VERB
fis-1254	268	14	boundary	boundary	NOUN
fis-1254	268	15	.	.	PUNCT
fis-1254	269	1	the	the	DET
fis-1254	269	2	size	size	NOUN
fis-1254	269	3	of	of	ADP
fis-1254	269	4	this	this	DET
fis-1254	269	5	boundary	boundary	ADJ
fis-1254	269	6	region	region	NOUN
fis-1254	269	7	depends	depend	VERB
fis-1254	269	8	on	on	ADP
fis-1254	269	9	the	the	DET
fis-1254	269	10	interfacial	interfacial	ADJ
fis-1254	269	11	stiffness	stiffness	NOUN
fis-1254	269	12	and	and	CCONJ
fis-1254	269	13	is	be	AUX
fis-1254	269	14	negligible	negligible	ADJ
fis-1254	269	15	for	for	ADP
fis-1254	269	16	very	very	ADV
fis-1254	269	17	stiff	stiff	ADJ
fis-1254	269	18	and	and	CCONJ
fis-1254	269	19	very	very	ADV
fis-1254	269	20	compliant	compliant	ADJ
fis-1254	269	21	interfaces	interface	NOUN
fis-1254	269	22	.	.	PUNCT
fis-1254	270	1	in	in	ADP
fis-1254	270	2	a	a	DET
fis-1254	270	3	multilayered	multilayered	ADJ
fis-1254	270	4	plate	plate	NOUN
fis-1254	270	5	the	the	DET
fis-1254	270	6	size	size	NOUN
fis-1254	270	7	of	of	ADP
fis-1254	270	8	the	the	DET
fis-1254	270	9	boundary	boundary	ADJ
fis-1254	270	10	region	region	NOUN
fis-1254	270	11	is	be	AUX
fis-1254	270	12	nonzero	nonzero	ADJ
fis-1254	270	13	even	even	ADV
fis-1254	270	14	when	when	SCONJ
fis-1254	270	15	the	the	DET
fis-1254	270	16	layers	layer	NOUN
fis-1254	270	17	are	be	AUX
fis-1254	270	18	fully	fully	ADV
fis-1254	270	19	bonded	bond	VERB
fis-1254	270	20	,	,	PUNCT
fis-1254	270	21	since	since	SCONJ
fis-1254	270	22	2	2	NUM
fis-1254	270	23	22	22	NUM
fis-1254	270	24	2	2	NUM
fis-1254	270	25	0,,z	0,,z	PROPN
fis-1254	270	26	zq	zq	PROPN
fis-1254	270	27	m	m	PROPN
fis-1254	270	28			PROPN
fis-1254	270	29	,	,	PUNCT
fis-1254	270	30	eq	eq	NOUN
fis-1254	270	31	.	.	PROPN
fis-1254	270	32	(	(	PUNCT
fis-1254	270	33	18c	18c	NUM
fis-1254	270	34	)	)	PUNCT
fis-1254	270	35	.	.	PUNCT
fis-1254	271	1	the	the	DET
fis-1254	271	2	diagrams	diagram	NOUN
fis-1254	271	3	(	(	PUNCT
fis-1254	271	4	d	d	NOUN
fis-1254	271	5	)	)	PUNCT
fis-1254	271	6	and	and	CCONJ
fis-1254	271	7	(	(	PUNCT
fis-1254	271	8	e	e	NOUN
fis-1254	271	9	)	)	PUNCT
fis-1254	271	10	show	show	NOUN
fis-1254	271	11	bending	bending	NOUN
fis-1254	271	12	and	and	CCONJ
fis-1254	271	13	transverse	transverse	NOUN
fis-1254	271	14	shear	shear	NOUN
fis-1254	271	15	stresses	stress	NOUN
fis-1254	271	16	at	at	ADP
fis-1254	271	17	the	the	DET
fis-1254	271	18	mid	mid	NOUN
fis-1254	271	19	-	-	NOUN
fis-1254	271	20	span	span	NOUN
fis-1254	271	21	for	for	ADP
fis-1254	271	22	different	different	ADJ
fis-1254	271	23	values	value	NOUN
fis-1254	271	24	of	of	ADP
fis-1254	271	25	the	the	DET
fis-1254	271	26	interfacial	interfacial	ADJ
fis-1254	271	27	stiffness	stiffness	NOUN
fis-1254	271	28	.	.	PUNCT
fis-1254	272	1	predictions	prediction	NOUN
fis-1254	272	2	are	be	AUX
fis-1254	272	3	accurate	accurate	ADJ
fis-1254	272	4	in	in	ADP
fis-1254	272	5	all	all	DET
fis-1254	272	6	cases	case	NOUN
fis-1254	272	7	.	.	PUNCT
fis-1254	273	1	(	(	PUNCT
fis-1254	273	2	a	a	X
fis-1254	273	3	)	)	PUNCT
fis-1254	273	4	(	(	PUNCT
fis-1254	273	5	b	b	X
fis-1254	273	6	)	)	PUNCT
fis-1254	273	7	(	(	PUNCT
fis-1254	273	8	c	c	X
fis-1254	273	9	)	)	PUNCT
fis-1254	273	10	(	(	PUNCT
fis-1254	273	11	d	d	X
fis-1254	273	12	)	)	PUNCT
fis-1254	273	13	(	(	PUNCT
fis-1254	273	14	e	e	NOUN
fis-1254	273	15	)	)	PUNCT
fis-1254	273	16	figure	figure	NOUN
fis-1254	273	17	3	3	NUM
fis-1254	273	18	.	.	PUNCT
fis-1254	273	19	wide	wide	ADJ
fis-1254	273	20	plate	plate	NOUN
fis-1254	273	21	clamped	clamp	VERB
fis-1254	273	22	at	at	ADP
fis-1254	273	23	2	2	NUM
fis-1254	273	24	0x	0x	NOUN
fis-1254	273	25	and	and	CCONJ
fis-1254	273	26	subjected	subject	VERB
fis-1254	273	27	to	to	ADP
fis-1254	273	28	a	a	DET
fis-1254	273	29	concentrated	concentrated	ADJ
fis-1254	273	30	force	force	NOUN
fis-1254	273	31	f	f	PROPN
fis-1254	273	32	at	at	ADP
fis-1254	273	33	2x	2x	NUM
fis-1254	273	34	l	l	NOUN
fis-1254	273	35	.	.	PUNCT
fis-1254	274	1	two	two	NUM
fis-1254	274	2	layers	layer	NOUN
fis-1254	274	3	,	,	PUNCT
fis-1254	274	4	unidirectionally	unidirectionally	ADV
fis-1254	274	5	reinforced	reinforce	VERB
fis-1254	274	6	with	with	ADP
fis-1254	274	7	25	25	NUM
fis-1254	274	8	/	/	SYM
fis-1254	274	9	t	t	NOUN
fis-1254	274	10	le	le	X
fis-1254	274	11	e	e	PROPN
fis-1254	274	12	,	,	PUNCT
fis-1254	274	13	50	50	NUM
fis-1254	274	14	/	/	SYM
fis-1254	274	15	lt	lt	PRON
fis-1254	274	16	lg	lg	NOUN
fis-1254	274	17	e	e	PROPN
fis-1254	274	18	,	,	PUNCT
fis-1254	274	19	125	125	NUM
fis-1254	274	20	/	/	SYM
fis-1254	274	21	tt	tt	PROPN
fis-1254	274	22	lg	lg	PROPN
fis-1254	274	23	e	e	PROPN
fis-1254	274	24	and	and	CCONJ
fis-1254	274	25	0	0	NUM
fis-1254	274	26	25.lt	25.lt	NUM
fis-1254	274	27	tt	tt	NOUN
fis-1254	274	28			VERB
fis-1254	274	29			PRON
fis-1254	274	30	,	,	PUNCT
fis-1254	274	31	1/	1/	NUM
fis-1254	274	32	(	(	PUNCT
fis-1254	274	33	)	)	PUNCT
fis-1254	274	34	l	l	NOUN
fis-1254	274	35	l	l	NOUN
fis-1254	274	36	lt	lt	X
fis-1254	274	37	tle	tle	NOUN
fis-1254	274	38	e	e	NOUN
fis-1254	274	39			NOUN
fis-1254	274	40			VERB
fis-1254	274	41			NOUN
fis-1254	274	42	;	;	PUNCT
fis-1254	274	43	interface	interface	NOUN
fis-1254	274	44	at	at	ADP
fis-1254	274	45	the	the	DET
fis-1254	274	46	midplane	midplane	NOUN
fis-1254	274	47	.	.	PUNCT
fis-1254	275	1	(	(	PUNCT
fis-1254	275	2	a	a	X
fis-1254	275	3	)	)	PUNCT
fis-1254	275	4	transverse	transverse	NOUN
fis-1254	275	5	shear	shear	NOUN
fis-1254	275	6	force	force	NOUN
fis-1254	275	7	along	along	ADP
fis-1254	275	8	plate	plate	NOUN
fis-1254	275	9	length	length	NOUN
fis-1254	275	10	.	.	PUNCT
fis-1254	276	1	(	(	PUNCT
fis-1254	276	2	b	b	X
fis-1254	276	3	)	)	PUNCT
fis-1254	276	4	generalized	generalized	ADJ
fis-1254	276	5	transverse	transverse	ADJ
fis-1254	276	6	shear	shear	NOUN
fis-1254	276	7	force	force	NOUN
fis-1254	276	8	,	,	PUNCT
fis-1254	276	9	shear	shear	NOUN
fis-1254	276	10	force	force	NOUN
fis-1254	276	11	and	and	CCONJ
fis-1254	276	12	equilibrating	equilibrating	NOUN
fis-1254	276	13	resultants	resultant	NOUN
fis-1254	276	14	.	.	PUNCT
fis-1254	277	1	(	(	PUNCT
fis-1254	277	2	c	c	X
fis-1254	277	3	)	)	PUNCT
fis-1254	277	4	interfacial	interfacial	ADJ
fis-1254	277	5	tractions	traction	NOUN
fis-1254	277	6	along	along	ADP
fis-1254	277	7	plate	plate	NOUN
fis-1254	277	8	length	length	NOUN
fis-1254	277	9	;	;	PUNCT
fis-1254	277	10	homogenized	homogenized	ADJ
fis-1254	277	11	model	model	NOUN
fis-1254	277	12	(	(	PUNCT
fis-1254	277	13	thick	thick	ADJ
fis-1254	277	14	lines	line	NOUN
fis-1254	277	15	)	)	PUNCT
fis-1254	277	16	,	,	PUNCT
fis-1254	277	17	discrete	discrete	ADJ
fis-1254	277	18	-	-	PUNCT
fis-1254	277	19	layer	layer	NOUN
fis-1254	277	20	model	model	NOUN
fis-1254	277	21	(	(	PUNCT
fis-1254	277	22	thin	thin	ADJ
fis-1254	277	23	lines	line	NOUN
fis-1254	277	24	)	)	PUNCT
fis-1254	277	25	.	.	PUNCT
fis-1254	278	1	(	(	PUNCT
fis-1254	278	2	d	d	X
fis-1254	278	3	-	-	PUNCT
fis-1254	278	4	e	e	NOUN
fis-1254	278	5	)	)	PUNCT
fis-1254	278	6	bending	bend	VERB
fis-1254	278	7	(	(	PUNCT
fis-1254	278	8	d	d	NOUN
fis-1254	278	9	)	)	PUNCT
fis-1254	278	10	and	and	CCONJ
fis-1254	278	11	shear	shear	NOUN
fis-1254	278	12	(	(	PUNCT
fis-1254	278	13	e	e	NOUN
fis-1254	278	14	)	)	PUNCT
fis-1254	278	15	stresses	stress	VERB
fis-1254	278	16	through	through	ADP
fis-1254	278	17	thickness	thickness	NOUN
fis-1254	278	18	at	at	ADP
fis-1254	278	19	2	2	NUM
fis-1254	278	20	2	2	NUM
fis-1254	278	21	/	/	SYM
fis-1254	278	22	x	x	NOUN
fis-1254	278	23	l	l	NOUN
fis-1254	278	24	.	.	PUNCT
fis-1254	279	1	(	(	PUNCT
fis-1254	279	2	shear	shear	NOUN
fis-1254	279	3	stresses	stress	NOUN
fis-1254	279	4	calculated	calculate	VERB
fis-1254	279	5	a	a	DET
fis-1254	279	6	posteriori	posteriori	NOUN
fis-1254	279	7	from	from	ADP
fis-1254	279	8	local	local	ADJ
fis-1254	279	9	equilibrium	equilibrium	NOUN
fis-1254	279	10	)	)	PUNCT
fis-1254	279	11	.	.	PUNCT
fis-1254	280	1	plates	plate	NOUN
fis-1254	280	2	with	with	ADP
fis-1254	280	3	delaminations	delamination	NOUN
fis-1254	280	4	as	as	ADP
fis-1254	280	5	a	a	DET
fis-1254	280	6	preliminary	preliminary	ADJ
fis-1254	280	7	investigation	investigation	NOUN
fis-1254	280	8	of	of	ADP
fis-1254	280	9	the	the	DET
fis-1254	280	10	applicability	applicability	NOUN
fis-1254	280	11	of	of	ADP
fis-1254	280	12	the	the	DET
fis-1254	280	13	theory	theory	NOUN
fis-1254	280	14	to	to	ADP
fis-1254	280	15	fracture	fracture	PROPN
fis-1254	280	16	problems	problem	NOUN
fis-1254	280	17	,	,	PUNCT
fis-1254	280	18	the	the	DET
fis-1254	280	19	interface	interface	NOUN
fis-1254	280	20	in	in	ADP
fis-1254	280	21	the	the	DET
fis-1254	280	22	cantilevered	cantilever	VERB
fis-1254	280	23	plate	plate	NOUN
fis-1254	280	24	studied	study	VERB
fis-1254	280	25	before	before	ADV
fis-1254	280	26	has	have	AUX
fis-1254	280	27	been	be	AUX
fis-1254	280	28	assumed	assume	VERB
fis-1254	280	29	to	to	PART
fis-1254	280	30	be	be	AUX
fis-1254	280	31	fully	fully	ADV
fis-1254	280	32	bonded	bond	VERB
fis-1254	280	33	,	,	PUNCT
fis-1254	280	34	for	for	ADP
fis-1254	280	35	20	20	NUM
fis-1254	280	36	2	2	NUM
fis-1254	280	37	/	/	SYM
fis-1254	280	38	x	x	X
fis-1254	280	39	l	l	ADJ
fis-1254	280	40			NOUN
fis-1254	280	41	,	,	PUNCT
fis-1254	280	42	and	and	CCONJ
fis-1254	280	43	fully	fully	ADV
fis-1254	280	44	debonded	debonde	VERB
fis-1254	280	45	,	,	PUNCT
fis-1254	280	46	for	for	ADP
fis-1254	280	47	22	22	NUM
fis-1254	280	48	/	/	SYM
fis-1254	280	49	l	l	NOUN
fis-1254	280	50	x	x	SYM
fis-1254	280	51	l	l	VERB
fis-1254	280	52			PROPN
fis-1254	280	53	.	.	PUNCT
fis-1254	281	1	homogenized	homogenize	VERB
fis-1254	281	2	equilibrium	equilibrium	NOUN
fis-1254	281	3	equations	equation	NOUN
fis-1254	281	4	have	have	AUX
fis-1254	281	5	been	be	AUX
fis-1254	281	6	derived	derive	VERB
fis-1254	281	7	for	for	ADP
fis-1254	281	8	the	the	DET
fis-1254	281	9	two	two	NUM
fis-1254	281	10	regions	region	NOUN
fis-1254	281	11	in	in	ADP
fis-1254	281	12	terms	term	NOUN
fis-1254	281	13	of	of	ADP
fis-1254	281	14	the	the	DET
fis-1254	281	15	homogenized	homogenized	ADJ
fis-1254	281	16	displacement	displacement	ADJ
fis-1254	281	17	variables	variable	NOUN
fis-1254	281	18	,	,	PUNCT
fis-1254	281	19	02	02	NUM
fis-1254	281	20	0	0	NUM
fis-1254	281	21	2	2	NUM
fis-1254	281	22	,	,	PUNCT
fis-1254	281	23	,	,	PUNCT
fis-1254	281	24	v	v	NOUN
fis-1254	281	25	w	w	NOUN
fis-1254	281	26			ADJ
fis-1254	281	27	,	,	PUNCT
fis-1254	281	28	and	and	CCONJ
fis-1254	281	29	continuity	continuity	NOUN
fis-1254	281	30	conditions	condition	NOUN
fis-1254	281	31	applied	apply	VERB
fis-1254	281	32	at	at	ADP
fis-1254	281	33	the	the	DET
fis-1254	281	34	delamination	delamination	NOUN
fis-1254	281	35	tip	tip	NOUN
fis-1254	281	36	,	,	PUNCT
fis-1254	281	37	at	at	ADP
fis-1254	281	38	2x	2x	NUM
fis-1254	281	39	l	l	NOUN
fis-1254	281	40	.	.	PUNCT
fis-1254	282	1	the	the	DET
fis-1254	282	2	model	model	NOUN
fis-1254	282	3	accurately	accurately	ADV
fis-1254	282	4	predicts	predict	VERB
fis-1254	282	5	gross	gross	ADJ
fis-1254	282	6	stress	stress	NOUN
fis-1254	282	7	resultants	resultant	NOUN
fis-1254	282	8	/	/	SYM
fis-1254	282	9	couples	couple	NOUN
fis-1254	282	10	and	and	CCONJ
fis-1254	282	11	stress	stress	NOUN
fis-1254	282	12	components	component	NOUN
fis-1254	282	13	.	.	PUNCT
fis-1254	283	1	bending	bend	VERB
fis-1254	283	2	and	and	CCONJ
fis-1254	283	3	transverse	transverse	NOUN
fis-1254	283	4	shear	shear	NOUN
fis-1254	283	5	stresses	stress	NOUN
fis-1254	283	6	are	be	AUX
fis-1254	283	7	depicted	depict	VERB
fis-1254	283	8	by	by	ADP
fis-1254	283	9	the	the	DET
fis-1254	283	10	solid	solid	ADJ
fis-1254	283	11	curves	curve	NOUN
fis-1254	283	12	(	(	PUNCT
fis-1254	283	13	thick	thick	ADJ
fis-1254	283	14	lines	line	NOUN
fis-1254	283	15	for	for	ADP
fis-1254	283	16	2	2	NUM
fis-1254	283	17	2	2	NUM
fis-1254	283	18	/	/	SYM
fis-1254	283	19	x	x	NOUN
fis-1254	283	20	l	l	NOUN
fis-1254	283	21	and	and	CCONJ
fis-1254	283	22	thin	thin	ADJ
fis-1254	283	23	lines	line	NOUN
fis-1254	283	24	for	for	ADP
fis-1254	283	25	2	2	NUM
fis-1254	283	26	2	2	NUM
fis-1254	283	27	/	/	SYM
fis-1254	283	28	x	x	SYM
fis-1254	283	29	l	l	NOUN
fis-1254	283	30	)	)	PUNCT
fis-1254	283	31	in	in	ADP
fis-1254	283	32	figs	fig	NOUN
fis-1254	283	33	.	.	PUNCT
fis-1254	284	1	3d	3d	NUM
fis-1254	284	2	,	,	PUNCT
fis-1254	284	3	e.	e.	PROPN
fis-1254	284	4	incompatible	incompatible	ADJ
fis-1254	284	5	displacements	displacement	NOUN
fis-1254	284	6	are	be	AUX
fis-1254	284	7	predicted	predict	VERB
fis-1254	284	8	in	in	ADP
fis-1254	284	9	the	the	DET
fis-1254	284	10	layers	layer	NOUN
fis-1254	284	11	to	to	ADP
fis-1254	284	12	the	the	DET
fis-1254	284	13	immediate	immediate	ADJ
fis-1254	284	14	right	right	NOUN
fis-1254	284	15	and	and	CCONJ
fis-1254	284	16	left	leave	VERB
fis-1254	284	17	of	of	ADP
fis-1254	284	18	the	the	DET
fis-1254	284	19	cross	cross	NOUN
fis-1254	284	20	section	section	NOUN
fis-1254	284	21	at	at	ADP
fis-1254	284	22	2	2	NUM
fis-1254	284	23	2	2	NUM
fis-1254	284	24	/	/	SYM
fis-1254	284	25	x	x	NOUN
fis-1254	284	26	l	l	NOUN
fis-1254	284	27	,	,	PUNCT
fis-1254	284	28	for	for	ADP
fis-1254	284	29	3	3	NUM
fis-1254	284	30	0x	0x	PROPN
fis-1254	284	31			NOUN
fis-1254	284	32	;	;	PUNCT
fis-1254	284	33	this	this	PRON
fis-1254	284	34	is	be	AUX
fis-1254	284	35	due	due	ADJ
fis-1254	284	36	to	to	ADP
fis-1254	284	37	the	the	DET
fis-1254	284	38	imposition	imposition	NOUN
fis-1254	284	39	of	of	ADP
fis-1254	284	40	the	the	DET
fis-1254	284	41	continuity	continuity	NOUN
fis-1254	284	42	conditions	condition	NOUN
fis-1254	284	43	on	on	ADP
fis-1254	284	44	the	the	DET
fis-1254	284	45	homogenized	homogenized	ADJ
fis-1254	284	46	displacement	displacement	ADJ
fis-1254	284	47	variables	variable	NOUN
fis-1254	284	48	only	only	ADV
fis-1254	284	49	(	(	PUNCT
fis-1254	284	50	see	see	VERB
fis-1254	284	51	eq	eq	ADJ
fis-1254	284	52	.	.	PUNCT
fis-1254	285	1	(	(	PUNCT
fis-1254	285	2	12a	12a	NOUN
fis-1254	285	3	)	)	PUNCT
fis-1254	285	4	and	and	CCONJ
fis-1254	285	5	(	(	PUNCT
fis-1254	285	6	19	19	NUM
fis-1254	285	7	)	)	PUNCT
fis-1254	285	8	)	)	PUNCT
fis-1254	285	9	.	.	PUNCT
fis-1254	286	1	the	the	DET
fis-1254	286	2	incompatibility	incompatibility	NOUN
fis-1254	286	3	produces	produce	VERB
fis-1254	286	4	unreliable	unreliable	ADJ
fis-1254	286	5	predictions	prediction	NOUN
fis-1254	286	6	of	of	ADP
fis-1254	286	7	the	the	DET
fis-1254	286	8	stresses	stress	NOUN
fis-1254	286	9	in	in	ADP
fis-1254	286	10	a	a	DET
fis-1254	286	11	very	very	ADV
fis-1254	286	12	small	small	ADJ
fis-1254	286	13	region	region	NOUN
fis-1254	286	14	localized	localize	VERB
fis-1254	286	15	at	at	ADP
fis-1254	286	16	the	the	DET
fis-1254	286	17	crack	crack	NOUN
fis-1254	286	18	tip	tip	NOUN
fis-1254	286	19	,	,	PUNCT
fis-1254	286	20	of	of	ADP
fis-1254	286	21	size	size	NOUN
fis-1254	286	22	50	50	NUM
fis-1254	286	23	/	/	SYM
fis-1254	286	24	l	l	NOUN
fis-1254	286	25	.	.	PUNCT
fis-1254	287	1	accurate	accurate	ADJ
fis-1254	287	2	predictions	prediction	NOUN
fis-1254	287	3	of	of	ADP
fis-1254	287	4	energy	energy	NOUN
fis-1254	287	5	release	release	NOUN
fis-1254	287	6	rate	rate	NOUN
fis-1254	287	7	and	and	CCONJ
fis-1254	287	8	stress	stress	NOUN
fis-1254	287	9	intensity	intensity	NOUN
fis-1254	287	10	factors	factor	NOUN
fis-1254	287	11	are	be	AUX
fis-1254	287	12	obtained	obtain	VERB
fis-1254	287	13	using	use	VERB
fis-1254	287	14	expressions	expression	NOUN
fis-1254	287	15	derived	derive	VERB
fis-1254	287	16	for	for	ADP
fis-1254	287	17	orthotropic	orthotropic	ADJ
fis-1254	287	18	layers	layer	NOUN
fis-1254	287	19	in	in	ADP
fis-1254	287	20	[	[	X
fis-1254	287	21	23	23	NUM
fis-1254	287	22	]	]	PUNCT
fis-1254	287	23	,	,	PUNCT
fis-1254	287	24	which	which	PRON
fis-1254	287	25	depend	depend	VERB
fis-1254	287	26	on	on	ADP
fis-1254	287	27	stress	stress	NOUN
fis-1254	287	28	resultants	resultant	NOUN
fis-1254	287	29	and	and	CCONJ
fis-1254	287	30	couples	couple	NOUN
fis-1254	287	31	at	at	ADP
fis-1254	287	32	the	the	DET
fis-1254	287	33	crack	crack	NOUN
fis-1254	287	34	tip	tip	NOUN
fis-1254	287	35	.	.	PUNCT
fis-1254	288	1	0	0	NUM
fis-1254	289	1	1	1	NUM
fis-1254	289	2	.	.	PUNCT
fis-1254	290	1	and	and	CCONJ
fis-1254	290	2	fully	fully	ADV
fis-1254	290	3	bondeds	bonded	VERB
fis-1254	290	4	lk	lk	PROPN
fis-1254	290	5	h	h	NOUN
fis-1254	290	6	e	e	PROPN
fis-1254	290	7			NUM
fis-1254	290	8	0	0	NUM
fis-1254	290	9	01.s	01.s	NUM
fis-1254	291	1	lk	lk	NOUN
fis-1254	291	2	h	h	NOUN
fis-1254	291	3	e	e	NOUN
fis-1254	291	4			NOUN
fis-1254	291	5	0	0	PUNCT
fis-1254	291	6	001.s	001.s	NOUN
fis-1254	291	7	lk	lk	NOUN
fis-1254	291	8	h	h	NOUN
fis-1254	291	9	e	e	VERB
fis-1254	291	10			NOUN
fis-1254	291	11	fully	fully	ADV
fis-1254	291	12	debonded	debonde	VERB
fis-1254	291	13	r	r	PROPN
fis-1254	291	14	massabò	massabò	PROPN
fis-1254	291	15	,	,	PUNCT
fis-1254	291	16	frattura	frattura	PROPN
fis-1254	291	17	ed	ed	PROPN
fis-1254	291	18	integrità	integrità	PROPN
fis-1254	291	19	strutturale	strutturale	PROPN
fis-1254	291	20	,	,	PUNCT
fis-1254	291	21	29	29	NUM
fis-1254	291	22	(	(	PUNCT
fis-1254	291	23	2014	2014	NUM
fis-1254	291	24	)	)	PUNCT
fis-1254	291	25	230	230	NUM
fis-1254	291	26	-	-	SYM
fis-1254	291	27	240	240	NUM
fis-1254	291	28	;	;	PUNCT
fis-1254	291	29	doi	doi	NOUN
fis-1254	291	30	:	:	PUNCT
fis-1254	291	31	10.3221	10.3221	NUM
fis-1254	291	32	/	/	SYM
fis-1254	291	33	igf	igf	PROPN
fis-1254	291	34	-	-	PUNCT
fis-1254	291	35	esis.29.20	esis.29.20	PROPN
fis-1254	291	36	239	239	NUM
fis-1254	291	37	conclusions	conclusion	NOUN
fis-1254	291	38	quilibrium	quilibrium	NOUN
fis-1254	291	39	equations	equation	NOUN
fis-1254	291	40	were	be	AUX
fis-1254	291	41	derived	derive	VERB
fis-1254	291	42	in	in	ADP
fis-1254	291	43	[	[	X
fis-1254	291	44	18,19	18,19	X
fis-1254	291	45	]	]	PUNCT
fis-1254	291	46	for	for	ADP
fis-1254	291	47	multilayered	multilayered	ADJ
fis-1254	291	48	composite	composite	ADJ
fis-1254	291	49	plates	plate	NOUN
fis-1254	291	50	with	with	ADP
fis-1254	291	51	cohesive	cohesive	ADJ
fis-1254	291	52	interfaces	interface	NOUN
fis-1254	291	53	and	and	CCONJ
fis-1254	291	54	delaminations	delamination	NOUN
fis-1254	291	55	which	which	PRON
fis-1254	291	56	depend	depend	VERB
fis-1254	291	57	on	on	ADP
fis-1254	291	58	only	only	ADV
fis-1254	291	59	six	six	NUM
fis-1254	291	60	unknown	unknown	ADJ
fis-1254	291	61	displacement	displacement	NOUN
fis-1254	291	62	functions	function	NOUN
fis-1254	291	63	(	(	PUNCT
fis-1254	291	64	three	three	NUM
fis-1254	291	65	for	for	ADP
fis-1254	291	66	wide	wide	ADJ
fis-1254	291	67	plates	plate	NOUN
fis-1254	291	68	)	)	PUNCT
fis-1254	291	69	for	for	ADP
fis-1254	291	70	any	any	DET
fis-1254	291	71	arbitrary	arbitrary	ADJ
fis-1254	291	72	numbers	number	NOUN
fis-1254	291	73	of	of	ADP
fis-1254	291	74	layers	layer	NOUN
fis-1254	291	75	and	and	CCONJ
fis-1254	291	76	interfaces	interface	NOUN
fis-1254	291	77	.	.	PUNCT
fis-1254	292	1	the	the	DET
fis-1254	292	2	equations	equation	NOUN
fis-1254	292	3	have	have	AUX
fis-1254	292	4	been	be	AUX
fis-1254	292	5	particularized	particularize	VERB
fis-1254	292	6	here	here	ADV
fis-1254	292	7	to	to	PART
fis-1254	292	8	plates	plate	NOUN
fis-1254	292	9	deforming	deform	VERB
fis-1254	292	10	in	in	ADP
fis-1254	292	11	cylindrical	cylindrical	ADJ
fis-1254	292	12	bending	bending	NOUN
fis-1254	292	13	and	and	CCONJ
fis-1254	292	14	restated	restate	VERB
fis-1254	292	15	in	in	ADP
fis-1254	292	16	a	a	DET
fis-1254	292	17	form	form	NOUN
fis-1254	292	18	similar	similar	ADJ
fis-1254	292	19	to	to	ADP
fis-1254	292	20	that	that	PRON
fis-1254	292	21	of	of	ADP
fis-1254	292	22	single	single	ADJ
fis-1254	292	23	-	-	PUNCT
fis-1254	292	24	layer	layer	NOUN
fis-1254	292	25	theory	theory	NOUN
fis-1254	292	26	.	.	PUNCT
fis-1254	293	1	this	this	PRON
fis-1254	293	2	introduces	introduce	VERB
fis-1254	293	3	a	a	DET
fis-1254	293	4	generalized	generalized	ADJ
fis-1254	293	5	transverse	transverse	NOUN
fis-1254	293	6	shear	shear	NOUN
fis-1254	293	7	force	force	NOUN
fis-1254	293	8	which	which	PRON
fis-1254	293	9	is	be	AUX
fis-1254	293	10	directly	directly	ADV
fis-1254	293	11	related	relate	VERB
fis-1254	293	12	to	to	ADP
fis-1254	293	13	the	the	DET
fis-1254	293	14	bending	bend	VERB
fis-1254	293	15	moment	moment	NOUN
fis-1254	293	16	,	,	PUNCT
fis-1254	293	17	as	as	SCONJ
fis-1254	293	18	the	the	DET
fis-1254	293	19	shear	shear	NOUN
fis-1254	293	20	force	force	NOUN
fis-1254	293	21	is	be	AUX
fis-1254	293	22	in	in	ADP
fis-1254	293	23	single	single	ADJ
fis-1254	293	24	-	-	PUNCT
fis-1254	293	25	layer	layer	NOUN
fis-1254	293	26	theory	theory	NOUN
fis-1254	293	27	,	,	PUNCT
fis-1254	293	28	and	and	CCONJ
fis-1254	293	29	depends	depend	VERB
fis-1254	293	30	on	on	ADP
fis-1254	293	31	the	the	DET
fis-1254	293	32	multilayered	multilayered	ADJ
fis-1254	293	33	structure	structure	NOUN
fis-1254	293	34	of	of	ADP
fis-1254	293	35	the	the	DET
fis-1254	293	36	material	material	NOUN
fis-1254	293	37	and	and	CCONJ
fis-1254	293	38	the	the	DET
fis-1254	293	39	status	status	NOUN
fis-1254	293	40	of	of	ADP
fis-1254	293	41	the	the	DET
fis-1254	293	42	interfaces	interface	NOUN
fis-1254	293	43	.	.	PUNCT
fis-1254	294	1	the	the	DET
fis-1254	294	2	new	new	ADJ
fis-1254	294	3	equations	equation	NOUN
fis-1254	294	4	explain	explain	VERB
fis-1254	294	5	the	the	DET
fis-1254	294	6	apparent	apparent	ADJ
fis-1254	294	7	inconsistencies	inconsistency	NOUN
fis-1254	294	8	which	which	PRON
fis-1254	294	9	have	have	AUX
fis-1254	294	10	been	be	AUX
fis-1254	294	11	observed	observe	VERB
fis-1254	294	12	in	in	ADP
fis-1254	294	13	the	the	DET
fis-1254	294	14	shear	shear	NOUN
fis-1254	294	15	force	force	NOUN
fis-1254	294	16	when	when	SCONJ
fis-1254	294	17	using	use	VERB
fis-1254	294	18	zigzag	zigzag	NOUN
fis-1254	294	19	theories	theory	NOUN
fis-1254	294	20	to	to	ADP
fis-1254	294	21	model	model	VERB
fis-1254	294	22	plates	plate	NOUN
fis-1254	294	23	with	with	ADP
fis-1254	294	24	clamped	clamp	VERB
fis-1254	294	25	edges	edge	NOUN
fis-1254	294	26	.	.	PUNCT
fis-1254	295	1	applications	application	NOUN
fis-1254	295	2	to	to	ADP
fis-1254	295	3	cantilevered	cantilever	VERB
fis-1254	295	4	wide	wide	ADJ
fis-1254	295	5	plates	plate	NOUN
fis-1254	295	6	with	with	ADP
fis-1254	295	7	imperfect	imperfect	ADJ
fis-1254	295	8	interfaces	interface	NOUN
fis-1254	295	9	and	and	CCONJ
fis-1254	295	10	delaminations	delamination	NOUN
fis-1254	295	11	confirm	confirm	VERB
fis-1254	295	12	the	the	DET
fis-1254	295	13	accuracy	accuracy	NOUN
fis-1254	295	14	of	of	ADP
fis-1254	295	15	the	the	DET
fis-1254	295	16	proposed	propose	VERB
fis-1254	295	17	model	model	NOUN
fis-1254	295	18	in	in	ADP
fis-1254	295	19	predicting	predict	VERB
fis-1254	295	20	stress	stress	NOUN
fis-1254	295	21	and	and	CCONJ
fis-1254	295	22	displacement	displacement	ADJ
fis-1254	295	23	fields	field	NOUN
fis-1254	295	24	in	in	ADP
fis-1254	295	25	thick	thick	ADJ
fis-1254	295	26	,	,	PUNCT
fis-1254	295	27	highly	highly	ADV
fis-1254	295	28	anisotropic	anisotropic	NOUN
fis-1254	295	29	,	,	PUNCT
fis-1254	295	30	multilayered	multilayere	VERB
fis-1254	295	31	plates	plate	NOUN
fis-1254	295	32	.	.	PUNCT
fis-1254	296	1	they	they	PRON
fis-1254	296	2	also	also	ADV
fis-1254	296	3	highlight	highlight	VERB
fis-1254	296	4	the	the	DET
fis-1254	296	5	existence	existence	NOUN
fis-1254	296	6	of	of	ADP
fis-1254	296	7	boundary	boundary	ADJ
fis-1254	296	8	regions	region	NOUN
fis-1254	296	9	,	,	PUNCT
fis-1254	296	10	near	near	ADP
fis-1254	296	11	the	the	DET
fis-1254	296	12	clamped	clamp	VERB
fis-1254	296	13	edges	edge	NOUN
fis-1254	296	14	and	and	CCONJ
fis-1254	296	15	at	at	ADP
fis-1254	296	16	the	the	DET
fis-1254	296	17	delamination	delamination	NOUN
fis-1254	296	18	tips	tip	NOUN
fis-1254	296	19	,	,	PUNCT
fis-1254	296	20	where	where	SCONJ
fis-1254	296	21	gross	gross	ADJ
fis-1254	296	22	stress	stress	NOUN
fis-1254	296	23	resultants	resultant	NOUN
fis-1254	296	24	and	and	CCONJ
fis-1254	296	25	couples	couple	NOUN
fis-1254	296	26	are	be	AUX
fis-1254	296	27	accurately	accurately	ADV
fis-1254	296	28	predicted	predict	VERB
fis-1254	296	29	,	,	PUNCT
fis-1254	296	30	while	while	SCONJ
fis-1254	296	31	stresses	stress	NOUN
fis-1254	296	32	and	and	CCONJ
fis-1254	296	33	displacements	displacement	NOUN
fis-1254	296	34	in	in	ADP
fis-1254	296	35	the	the	DET
fis-1254	296	36	layers	layer	NOUN
fis-1254	296	37	are	be	AUX
fis-1254	296	38	not	not	PART
fis-1254	296	39	,	,	PUNCT
fis-1254	296	40	as	as	ADP
fis-1254	296	41	a	a	DET
fis-1254	296	42	consequence	consequence	NOUN
fis-1254	296	43	of	of	ADP
fis-1254	296	44	the	the	DET
fis-1254	296	45	imposition	imposition	NOUN
fis-1254	296	46	of	of	ADP
fis-1254	296	47	boundary	boundary	ADJ
fis-1254	296	48	/	/	SYM
fis-1254	296	49	continuity	continuity	NOUN
fis-1254	296	50	conditions	condition	NOUN
fis-1254	296	51	on	on	ADP
fis-1254	296	52	the	the	DET
fis-1254	296	53	global	global	ADJ
fis-1254	296	54	displacement	displacement	NOUN
fis-1254	296	55	variables	variable	NOUN
fis-1254	296	56	only	only	ADV
fis-1254	296	57	.	.	PUNCT
fis-1254	297	1	the	the	DET
fis-1254	297	2	size	size	NOUN
fis-1254	297	3	of	of	ADP
fis-1254	297	4	the	the	DET
fis-1254	297	5	boundary	boundary	ADJ
fis-1254	297	6	region	region	NOUN
fis-1254	297	7	at	at	ADP
fis-1254	297	8	the	the	DET
fis-1254	297	9	delamination	delamination	NOUN
fis-1254	297	10	tip	tip	NOUN
fis-1254	297	11	in	in	ADP
fis-1254	297	12	a	a	DET
fis-1254	297	13	unidirectionally	unidirectionally	ADV
fis-1254	297	14	reinforced	reinforce	VERB
fis-1254	297	15	laminate	laminate	NOUN
fis-1254	297	16	is	be	AUX
fis-1254	297	17	very	very	ADV
fis-1254	297	18	small	small	ADJ
fis-1254	297	19	,	,	PUNCT
fis-1254	297	20	50	50	NUM
fis-1254	297	21	/	/	SYM
fis-1254	297	22	l	l	NOUN
fis-1254	297	23	with	with	ADP
fis-1254	297	24	l	l	NOUN
fis-1254	297	25	the	the	DET
fis-1254	297	26	characteristic	characteristic	ADJ
fis-1254	297	27	inplane	inplane	NOUN
fis-1254	297	28	dimension	dimension	NOUN
fis-1254	297	29	.	.	PUNCT
fis-1254	298	1	the	the	DET
fis-1254	298	2	presence	presence	NOUN
fis-1254	298	3	of	of	ADP
fis-1254	298	4	the	the	DET
fis-1254	298	5	boundary	boundary	ADJ
fis-1254	298	6	regions	region	NOUN
fis-1254	298	7	must	must	AUX
fis-1254	298	8	be	be	AUX
fis-1254	298	9	accounted	account	VERB
fis-1254	298	10	for	for	ADP
fis-1254	298	11	in	in	ADP
fis-1254	298	12	the	the	DET
fis-1254	298	13	solution	solution	NOUN
fis-1254	298	14	of	of	ADP
fis-1254	298	15	the	the	DET
fis-1254	298	16	problems	problem	NOUN
fis-1254	298	17	and	and	CCONJ
fis-1254	298	18	fracture	fracture	NOUN
fis-1254	298	19	mechanics	mechanic	NOUN
fis-1254	298	20	predictions	prediction	NOUN
fis-1254	298	21	must	must	AUX
fis-1254	298	22	rely	rely	VERB
fis-1254	298	23	on	on	ADP
fis-1254	298	24	expressions	expression	NOUN
fis-1254	298	25	depending	depend	VERB
fis-1254	298	26	on	on	ADP
fis-1254	298	27	gross	gross	ADJ
fis-1254	298	28	stress	stress	NOUN
fis-1254	298	29	resultants	resultant	NOUN
fis-1254	298	30	and	and	CCONJ
fis-1254	298	31	couples	couple	NOUN
fis-1254	298	32	,	,	PUNCT
fis-1254	298	33	which	which	PRON
fis-1254	298	34	should	should	AUX
fis-1254	298	35	be	be	AUX
fis-1254	298	36	calculated	calculate	VERB
fis-1254	298	37	at	at	ADP
fis-1254	298	38	the	the	DET
fis-1254	298	39	boundary	boundary	NOUN
fis-1254	298	40	of	of	ADP
fis-1254	298	41	the	the	DET
fis-1254	298	42	region	region	NOUN
fis-1254	298	43	surrounding	surround	VERB
fis-1254	298	44	the	the	DET
fis-1254	298	45	crack	crack	NOUN
fis-1254	298	46	tip	tip	NOUN
fis-1254	298	47	.	.	PUNCT
fis-1254	299	1	it	it	PRON
fis-1254	299	2	is	be	AUX
fis-1254	299	3	expected	expect	VERB
fis-1254	299	4	that	that	SCONJ
fis-1254	299	5	improvements	improvement	NOUN
fis-1254	299	6	in	in	ADP
fis-1254	299	7	the	the	DET
fis-1254	299	8	prediction	prediction	NOUN
fis-1254	299	9	of	of	ADP
fis-1254	299	10	stresses	stress	NOUN
fis-1254	299	11	and	and	CCONJ
fis-1254	299	12	displacements	displacement	NOUN
fis-1254	299	13	in	in	ADP
fis-1254	299	14	the	the	DET
fis-1254	299	15	boundary	boundary	ADJ
fis-1254	299	16	regions	region	NOUN
fis-1254	299	17	may	may	AUX
fis-1254	299	18	be	be	AUX
fis-1254	299	19	obtained	obtain	VERB
fis-1254	299	20	through	through	ADP
fis-1254	299	21	the	the	DET
fis-1254	299	22	introduction	introduction	NOUN
fis-1254	299	23	of	of	ADP
fis-1254	299	24	a	a	DET
fis-1254	299	25	shear	shear	NOUN
fis-1254	299	26	factor	factor	NOUN
fis-1254	299	27	which	which	PRON
fis-1254	299	28	depends	depend	VERB
fis-1254	299	29	on	on	ADP
fis-1254	299	30	the	the	DET
fis-1254	299	31	status	status	NOUN
fis-1254	299	32	of	of	ADP
fis-1254	299	33	the	the	DET
fis-1254	299	34	interfaces	interface	NOUN
fis-1254	299	35	.	.	PUNCT
fis-1254	300	1	acknowledgements	acknowledgement	NOUN
fis-1254	300	2	upport	upport	ADJ
fis-1254	300	3	by	by	ADP
fis-1254	300	4	u.s	u.s	PROPN
fis-1254	300	5	.	.	PROPN
fis-1254	300	6	office	office	PROPN
fis-1254	300	7	of	of	ADP
fis-1254	300	8	naval	naval	ADJ
fis-1254	300	9	research	research	NOUN
fis-1254	300	10	,	,	PUNCT
fis-1254	300	11	onr	onr	PROPN
fis-1254	300	12	,	,	PUNCT
fis-1254	300	13	grant	grant	VERB
fis-1254	300	14	no	no	INTJ
fis-1254	300	15	.	.	PUNCT
fis-1254	300	16	n00014	n00014	NOUN
fis-1254	300	17	-	-	PUNCT
fis-1254	300	18	14	14	NUM
fis-1254	300	19	-	-	PUNCT
fis-1254	300	20	1	1	NUM
fis-1254	300	21	-	-	NUM
fis-1254	300	22	0229	0229	NUM
fis-1254	300	23	(	(	PUNCT
fis-1254	300	24	administered	administer	VERB
fis-1254	300	25	by	by	ADP
fis-1254	300	26	dr	dr	PROPN
fis-1254	300	27	.	.	PROPN
fis-1254	300	28	rajapakse	rajapakse	PROPN
fis-1254	300	29	)	)	PUNCT
fis-1254	300	30	.	.	PUNCT
fis-1254	301	1	references	reference	NOUN
fis-1254	301	2	[	[	X
fis-1254	301	3	1	1	NUM
fis-1254	301	4	]	]	X
fis-1254	301	5	pagano	pagano	PROPN
fis-1254	301	6	,	,	PUNCT
fis-1254	301	7	n.	n.	PROPN
fis-1254	301	8	j.	j.	PROPN
fis-1254	301	9	,	,	PUNCT
fis-1254	301	10	exact	exact	ADJ
fis-1254	301	11	solutions	solution	NOUN
fis-1254	301	12	for	for	ADP
fis-1254	301	13	composite	composite	ADJ
fis-1254	301	14	laminates	laminate	NOUN
fis-1254	301	15	in	in	ADP
fis-1254	301	16	cylindrical	cylindrical	ADJ
fis-1254	301	17	bending	bending	NOUN
fis-1254	301	18	,	,	PUNCT
fis-1254	301	19	j	j	PROPN
fis-1254	301	20	compos	compos	PROPN
fis-1254	301	21	mater	mater	NOUN
fis-1254	301	22	,	,	PUNCT
fis-1254	301	23	3	3	NUM
fis-1254	301	24	(	(	PUNCT
fis-1254	301	25	1969	1969	NUM
fis-1254	301	26	)	)	PUNCT
fis-1254	301	27	398	398	NUM
fis-1254	301	28	-	-	SYM
fis-1254	301	29	411	411	NUM
fis-1254	301	30	.	.	PUNCT
fis-1254	302	1	[	[	X
fis-1254	302	2	2	2	NUM
fis-1254	302	3	]	]	X
fis-1254	302	4	carrera	carrera	PROPN
fis-1254	302	5	,	,	PUNCT
fis-1254	302	6	e.	e.	PROPN
fis-1254	302	7	theories	theories	PROPN
fis-1254	302	8	and	and	CCONJ
fis-1254	302	9	finite	finite	ADJ
fis-1254	302	10	elements	element	NOUN
fis-1254	302	11	for	for	ADP
fis-1254	302	12	multilayered	multilayered	ADJ
fis-1254	302	13	,	,	PUNCT
fis-1254	302	14	anisotropic	anisotropic	NOUN
fis-1254	302	15	,	,	PUNCT
fis-1254	302	16	composite	composite	ADJ
fis-1254	302	17	plates	plate	NOUN
fis-1254	302	18	and	and	CCONJ
fis-1254	302	19	shell	shell	NOUN
fis-1254	302	20	.	.	PUNCT
fis-1254	303	1	arch	arch	ADJ
fis-1254	303	2	comput	comput	PROPN
fis-1254	303	3	method	method	NOUN
fis-1254	303	4	e	e	NOUN
fis-1254	303	5	,	,	PUNCT
fis-1254	303	6	9	9	NUM
fis-1254	303	7	(	(	PUNCT
fis-1254	303	8	2	2	NUM
fis-1254	303	9	)	)	PUNCT
fis-1254	303	10	(	(	PUNCT
fis-1254	303	11	1997	1997	NUM
fis-1254	303	12	)	)	PUNCT
fis-1254	304	1	87–140	87–140	NUM
fis-1254	304	2	[	[	SYM
fis-1254	304	3	3	3	NUM
fis-1254	304	4	]	]	X
fis-1254	304	5	williams	williams	PROPN
fis-1254	304	6	,	,	PUNCT
fis-1254	304	7	t.	t.	PROPN
fis-1254	304	8	o.	o.	PROPN
fis-1254	304	9	,	,	PUNCT
fis-1254	304	10	and	and	CCONJ
fis-1254	304	11	addessio	addessio	PROPN
fis-1254	304	12	,	,	PUNCT
fis-1254	304	13	f.	f.	PROPN
fis-1254	304	14	l.	l.	PROPN
fis-1254	304	15	,	,	PUNCT
fis-1254	304	16	a	a	DET
fis-1254	304	17	general	general	ADJ
fis-1254	304	18	theory	theory	NOUN
fis-1254	304	19	for	for	ADP
fis-1254	304	20	laminated	laminated	ADJ
fis-1254	304	21	plates	plate	NOUN
fis-1254	304	22	with	with	ADP
fis-1254	304	23	delaminations	delamination	NOUN
fis-1254	304	24	,	,	PUNCT
fis-1254	304	25	int	int	NOUN
fis-1254	304	26	j	j	PROPN
fis-1254	304	27	solids	solid	NOUN
fis-1254	304	28	struct	struct	NOUN
fis-1254	304	29	,	,	PUNCT
fis-1254	304	30	34	34	NUM
fis-1254	304	31	(	(	PUNCT
fis-1254	304	32	1997	1997	NUM
fis-1254	304	33	)	)	PUNCT
fis-1254	304	34	2003	2003	NUM
fis-1254	304	35	-	-	SYM
fis-1254	304	36	2024	2024	NUM
fis-1254	304	37	.	.	PUNCT
fis-1254	305	1	[	[	X
fis-1254	305	2	4	4	NUM
fis-1254	305	3	]	]	PUNCT
fis-1254	305	4	allix	allix	ADJ
fis-1254	305	5	o	o	NOUN
fis-1254	305	6	,	,	PUNCT
fis-1254	305	7	ladeveze	ladeveze	VERB
fis-1254	305	8	p	p	X
fis-1254	305	9	,	,	PUNCT
fis-1254	305	10	corigliano	corigliano	ADJ
fis-1254	305	11	,	,	PUNCT
fis-1254	305	12	damage	damage	VERB
fis-1254	305	13	analysis	analysis	NOUN
fis-1254	305	14	of	of	ADP
fis-1254	305	15	interlaminar	interlaminar	PROPN
fis-1254	305	16	fracture	fracture	PROPN
fis-1254	305	17	specimens	specimen	NOUN
fis-1254	305	18	,	,	PUNCT
fis-1254	305	19	compos	compos	NOUN
fis-1254	305	20	struct	struct	NOUN
fis-1254	305	21	31	31	NUM
fis-1254	305	22	(	(	PUNCT
fis-1254	305	23	1995	1995	NUM
fis-1254	305	24	)	)	PUNCT
fis-1254	305	25	66	66	NUM
fis-1254	305	26	-	-	SYM
fis-1254	305	27	74	74	NUM
fis-1254	305	28	.	.	PUNCT
fis-1254	306	1	[	[	X
fis-1254	306	2	5	5	NUM
fis-1254	306	3	]	]	X
fis-1254	306	4	andrews	andrews	PROPN
fis-1254	306	5	,	,	PUNCT
fis-1254	306	6	m.g	m.g	PROPN
fis-1254	306	7	.	.	PROPN
fis-1254	306	8	,	,	PUNCT
fis-1254	306	9	massabò	massabò	PROPN
fis-1254	306	10	,	,	PUNCT
fis-1254	306	11	r.	r.	PROPN
fis-1254	306	12	,	,	PUNCT
fis-1254	306	13	cavicchi	cavicchi	PROPN
fis-1254	306	14	,	,	PUNCT
fis-1254	306	15	a.	a.	NOUN
fis-1254	306	16	,	,	PUNCT
fis-1254	306	17	b.n	b.n	PROPN
fis-1254	306	18	.	.	PROPN
fis-1254	306	19	cox	cox	PROPN
fis-1254	306	20	,	,	PUNCT
fis-1254	306	21	dynamic	dynamic	ADJ
fis-1254	306	22	interaction	interaction	NOUN
fis-1254	306	23	effects	effect	NOUN
fis-1254	306	24	of	of	ADP
fis-1254	306	25	multiple	multiple	ADJ
fis-1254	306	26	delaminations	delamination	NOUN
fis-1254	306	27	in	in	ADP
fis-1254	306	28	plates	plate	NOUN
fis-1254	306	29	subject	subject	ADJ
fis-1254	306	30	to	to	ADP
fis-1254	306	31	cylindrical	cylindrical	ADJ
fis-1254	306	32	bending	bending	NOUN
fis-1254	306	33	,	,	PUNCT
fis-1254	306	34	int	int	PROPN
fis-1254	306	35	j	j	PROPN
fis-1254	306	36	solids	solid	NOUN
fis-1254	306	37	struct	struct	NOUN
fis-1254	306	38	,	,	PUNCT
fis-1254	306	39	46	46	NUM
fis-1254	306	40	(	(	PUNCT
fis-1254	306	41	2009	2009	NUM
fis-1254	306	42	)	)	PUNCT
fis-1254	306	43	1815	1815	NUM
fis-1254	306	44	-	-	SYM
fis-1254	306	45	1833	1833	NUM
fis-1254	306	46	.	.	PUNCT
fis-1254	307	1	[	[	X
fis-1254	307	2	6	6	NUM
fis-1254	307	3	]	]	X
fis-1254	307	4	andrews	andrews	PROPN
fis-1254	307	5	,	,	PUNCT
fis-1254	307	6	m.g	m.g	PROPN
fis-1254	307	7	.	.	PROPN
fis-1254	307	8	,	,	PUNCT
fis-1254	307	9	massabò	massabò	PROPN
fis-1254	307	10	,	,	PUNCT
fis-1254	307	11	r.	r.	PROPN
fis-1254	307	12	,	,	PUNCT
fis-1254	307	13	and	and	CCONJ
fis-1254	307	14	cox	cox	PROPN
fis-1254	307	15	,	,	PUNCT
fis-1254	307	16	b.n	b.n	PROPN
fis-1254	307	17	.	.	PROPN
fis-1254	307	18	,	,	PUNCT
fis-1254	307	19	elastic	elastic	ADJ
fis-1254	307	20	interaction	interaction	NOUN
fis-1254	307	21	of	of	ADP
fis-1254	307	22	multiple	multiple	ADJ
fis-1254	307	23	delaminations	delamination	NOUN
fis-1254	307	24	in	in	ADP
fis-1254	307	25	plates	plate	NOUN
fis-1254	307	26	subject	subject	ADJ
fis-1254	307	27	to	to	ADP
fis-1254	307	28	cylindrical	cylindrical	ADJ
fis-1254	307	29	bending	bending	NOUN
fis-1254	307	30	,	,	PUNCT
fis-1254	307	31	int	int	PROPN
fis-1254	307	32	j	j	PROPN
fis-1254	307	33	solids	solid	NOUN
fis-1254	307	34	struct	struct	NOUN
fis-1254	307	35	,	,	PUNCT
fis-1254	307	36	43(5	43(5	NUM
fis-1254	307	37	)	)	PUNCT
fis-1254	307	38	(	(	PUNCT
fis-1254	307	39	2006	2006	NUM
fis-1254	307	40	)	)	PUNCT
fis-1254	307	41	855	855	NUM
fis-1254	307	42	-	-	SYM
fis-1254	307	43	886	886	NUM
fis-1254	307	44	.	.	PUNCT
fis-1254	308	1	[	[	X
fis-1254	308	2	7	7	NUM
fis-1254	308	3	]	]	X
fis-1254	308	4	massabò	massabò	PROPN
fis-1254	308	5	,	,	PUNCT
fis-1254	308	6	r.	r.	PROPN
fis-1254	308	7	,	,	PUNCT
fis-1254	308	8	and	and	CCONJ
fis-1254	308	9	cavicchi	cavicchi	PROPN
fis-1254	308	10	,	,	PUNCT
fis-1254	308	11	a.	a.	NOUN
fis-1254	308	12	,	,	PUNCT
fis-1254	308	13	interaction	interaction	NOUN
fis-1254	308	14	effects	effect	NOUN
fis-1254	308	15	of	of	ADP
fis-1254	308	16	multiple	multiple	ADJ
fis-1254	308	17	damage	damage	NOUN
fis-1254	308	18	mechanisms	mechanism	NOUN
fis-1254	308	19	in	in	ADP
fis-1254	308	20	composite	composite	ADJ
fis-1254	308	21	sandwich	sandwich	NOUN
fis-1254	308	22	beams	beam	NOUN
fis-1254	308	23	subjected	subject	VERB
fis-1254	308	24	to	to	ADP
fis-1254	308	25	time	time	NOUN
fis-1254	308	26	dependent	dependent	ADJ
fis-1254	308	27	loading	loading	NOUN
fis-1254	308	28	,	,	PUNCT
fis-1254	308	29	int	int	PROPN
fis-1254	308	30	j	j	PROPN
fis-1254	308	31	solids	solid	NOUN
fis-1254	308	32	struct	struct	NOUN
fis-1254	308	33	,	,	PUNCT
fis-1254	308	34	49	49	NUM
fis-1254	308	35	(	(	PUNCT
fis-1254	308	36	2012	2012	NUM
fis-1254	308	37	)	)	PUNCT
fis-1254	308	38	720	720	NUM
fis-1254	308	39	-	-	SYM
fis-1254	308	40	738	738	NUM
fis-1254	308	41	.	.	PUNCT
fis-1254	309	1	[	[	X
fis-1254	309	2	8	8	NUM
fis-1254	309	3	]	]	X
fis-1254	309	4	carrera	carrera	PROPN
fis-1254	309	5	,	,	PUNCT
fis-1254	309	6	e.	e.	PROPN
fis-1254	309	7	,	,	PUNCT
fis-1254	309	8	historical	historical	ADJ
fis-1254	309	9	review	review	NOUN
fis-1254	309	10	of	of	ADP
fis-1254	309	11	zig	zig	NOUN
fis-1254	309	12	-	-	PUNCT
fis-1254	309	13	zag	zag	PROPN
fis-1254	309	14	theories	theory	NOUN
fis-1254	309	15	for	for	ADP
fis-1254	309	16	multilayered	multilayered	ADJ
fis-1254	309	17	plates	plate	NOUN
fis-1254	309	18	and	and	CCONJ
fis-1254	309	19	shells	shell	NOUN
fis-1254	309	20	,	,	PUNCT
fis-1254	309	21	appl	appl	PROPN
fis-1254	309	22	mech	mech	NOUN
fis-1254	309	23	rev	rev	PROPN
fis-1254	309	24	,	,	PUNCT
fis-1254	309	25	56	56	NUM
fis-1254	309	26	,	,	PUNCT
fis-1254	309	27	3	3	NUM
fis-1254	309	28	,	,	PUNCT
fis-1254	309	29	2003	2003	NUM
fis-1254	309	30	.	.	PUNCT
fis-1254	310	1	[	[	X
fis-1254	310	2	9	9	NUM
fis-1254	310	3	]	]	X
fis-1254	310	4	di	di	X
fis-1254	310	5	sciuva	sciuva	PROPN
fis-1254	310	6	,	,	PUNCT
fis-1254	310	7	m.	m.	NOUN
fis-1254	310	8	,	,	PUNCT
fis-1254	310	9	bending	bending	NOUN
fis-1254	310	10	,	,	PUNCT
fis-1254	310	11	vibration	vibration	NOUN
fis-1254	310	12	and	and	CCONJ
fis-1254	310	13	buckling	buckling	NOUN
fis-1254	310	14	of	of	ADP
fis-1254	310	15	simply	simply	ADV
fis-1254	310	16	supported	support	VERB
fis-1254	310	17	thick	thick	ADJ
fis-1254	310	18	multilayered	multilayered	ADJ
fis-1254	310	19	orthotropic	orthotropic	ADJ
fis-1254	310	20	plates	plate	NOUN
fis-1254	310	21	:	:	PUNCT
fis-1254	310	22	an	an	DET
fis-1254	310	23	evaluation	evaluation	NOUN
fis-1254	310	24	of	of	ADP
fis-1254	310	25	a	a	DET
fis-1254	310	26	new	new	ADJ
fis-1254	310	27	displacement	displacement	NOUN
fis-1254	310	28	model	model	NOUN
fis-1254	310	29	,	,	PUNCT
fis-1254	310	30	j	j	PROPN
fis-1254	310	31	sound	sound	PROPN
fis-1254	310	32	vib	vib	PROPN
fis-1254	310	33	,	,	PUNCT
fis-1254	310	34	105	105	NUM
fis-1254	310	35	(	(	PUNCT
fis-1254	310	36	3	3	NUM
fis-1254	310	37	)	)	PUNCT
fis-1254	310	38	(	(	PUNCT
fis-1254	310	39	1986	1986	NUM
fis-1254	310	40	)	)	PUNCT
fis-1254	310	41	425	425	NUM
fis-1254	310	42	-	-	SYM
fis-1254	310	43	442	442	NUM
fis-1254	310	44	.	.	PUNCT
fis-1254	311	1	[	[	X
fis-1254	311	2	10	10	NUM
fis-1254	311	3	]	]	X
fis-1254	311	4	di	di	X
fis-1254	311	5	sciuva	sciuva	PROPN
fis-1254	311	6	,	,	PUNCT
fis-1254	311	7	m.	m.	NOUN
fis-1254	311	8	,	,	PUNCT
fis-1254	311	9	an	an	DET
fis-1254	311	10	improved	improved	ADJ
fis-1254	311	11	shear	shear	NOUN
fis-1254	311	12	-	-	PUNCT
fis-1254	311	13	deformation	deformation	NOUN
fis-1254	311	14	theory	theory	NOUN
fis-1254	311	15	for	for	ADP
fis-1254	311	16	moderately	moderately	ADV
fis-1254	311	17	thick	thick	ADJ
fis-1254	311	18	multilayered	multilayered	ADJ
fis-1254	311	19	anisotropic	anisotropic	NOUN
fis-1254	311	20	shells	shell	NOUN
fis-1254	311	21	and	and	CCONJ
fis-1254	311	22	plates	plate	NOUN
fis-1254	311	23	,	,	PUNCT
fis-1254	311	24	j	j	PROPN
fis-1254	311	25	appl	appl	PROPN
fis-1254	311	26	mech	mech	PROPN
fis-1254	311	27	,	,	PUNCT
fis-1254	311	28	54	54	NUM
fis-1254	311	29	(	(	PUNCT
fis-1254	311	30	1987	1987	NUM
fis-1254	311	31	)	)	PUNCT
fis-1254	311	32	589	589	NUM
fis-1254	311	33	-	-	SYM
fis-1254	311	34	596	596	NUM
fis-1254	311	35	.	.	PUNCT
fis-1254	312	1	[	[	X
fis-1254	312	2	11	11	NUM
fis-1254	312	3	]	]	X
fis-1254	312	4	cheng	cheng	PROPN
fis-1254	312	5	,	,	PUNCT
fis-1254	312	6	z.	z.	PROPN
fis-1254	312	7	q.	q.	PROPN
fis-1254	312	8	,	,	PUNCT
fis-1254	312	9	jemah	jemah	PROPN
fis-1254	312	10	,	,	PUNCT
fis-1254	312	11	a.	a.	NOUN
fis-1254	312	12	k.	k.	PROPN
fis-1254	312	13	,	,	PUNCT
fis-1254	312	14	and	and	CCONJ
fis-1254	312	15	williams	williams	PROPN
fis-1254	312	16	,	,	PUNCT
fis-1254	312	17	f.	f.	PROPN
fis-1254	312	18	w.	w.	PROPN
fis-1254	312	19	,	,	PUNCT
fis-1254	312	20	theory	theory	NOUN
fis-1254	312	21	for	for	ADP
fis-1254	312	22	multilayered	multilayered	ADJ
fis-1254	312	23	anisotropic	anisotropic	NOUN
fis-1254	312	24	plates	plate	NOUN
fis-1254	312	25	with	with	ADP
fis-1254	312	26	weakened	weakened	ADJ
fis-1254	312	27	interfaces	interface	NOUN
fis-1254	312	28	,	,	PUNCT
fis-1254	312	29	j	j	PROPN
fis-1254	312	30	appl	appl	PROPN
fis-1254	312	31	mech	mech	PROPN
fis-1254	312	32	,	,	PUNCT
fis-1254	312	33	63	63	NUM
fis-1254	312	34	(	(	PUNCT
fis-1254	312	35	1996	1996	NUM
fis-1254	312	36	)	)	PUNCT
fis-1254	312	37	1019	1019	NUM
fis-1254	312	38	-	-	SYM
fis-1254	312	39	1026	1026	NUM
fis-1254	312	40	.	.	PUNCT
fis-1254	313	1	[	[	X
fis-1254	313	2	12	12	NUM
fis-1254	313	3	]	]	PUNCT
fis-1254	313	4	schmidt	schmidt	PROPN
fis-1254	313	5	,	,	PUNCT
fis-1254	313	6	r.	r.	PROPN
fis-1254	313	7	,	,	PUNCT
fis-1254	313	8	and	and	CCONJ
fis-1254	313	9	librescu	librescu	PROPN
fis-1254	313	10	,	,	PUNCT
fis-1254	313	11	l.	l.	PROPN
fis-1254	313	12	,	,	PUNCT
fis-1254	313	13	“	"	PUNCT
fis-1254	313	14	geometrically	geometrically	ADV
fis-1254	313	15	nonlinear	nonlinear	ADJ
fis-1254	313	16	theory	theory	NOUN
fis-1254	313	17	of	of	ADP
fis-1254	313	18	laminated	laminate	VERB
fis-1254	313	19	anisotropic	anisotropic	NOUN
fis-1254	313	20	composite	composite	ADJ
fis-1254	313	21	plates	plate	NOUN
fis-1254	313	22	featuring	feature	VERB
fis-1254	313	23	interlayer	interlayer	NOUN
fis-1254	313	24	slips	slip	VERB
fis-1254	313	25	,	,	PUNCT
fis-1254	313	26	”	"	PUNCT
fis-1254	313	27	nova	nova	PROPN
fis-1254	313	28	journal	journal	PROPN
fis-1254	313	29	of	of	ADP
fis-1254	313	30	mathematics	mathematic	NOUN
fis-1254	313	31	,	,	PUNCT
fis-1254	313	32	game	game	NOUN
fis-1254	313	33	theory	theory	NOUN
fis-1254	313	34	,	,	PUNCT
fis-1254	313	35	and	and	CCONJ
fis-1254	313	36	algebra	algebra	NOUN
fis-1254	313	37	,	,	PUNCT
fis-1254	313	38	5	5	NUM
fis-1254	313	39	(	(	PUNCT
fis-1254	313	40	1996	1996	NUM
fis-1254	313	41	)	)	PUNCT
fis-1254	313	42	131	131	NUM
fis-1254	313	43	-	-	SYM
fis-1254	313	44	147	147	NUM
fis-1254	313	45	.	.	PUNCT
fis-1254	314	1	[	[	X
fis-1254	314	2	13	13	NUM
fis-1254	314	3	]	]	X
fis-1254	314	4	di	di	X
fis-1254	314	5	sciuva	sciuva	PROPN
fis-1254	314	6	,	,	PUNCT
fis-1254	314	7	m.	m.	NOUN
fis-1254	314	8	,	,	PUNCT
fis-1254	314	9	geom	geom	PROPN
fis-1254	314	10	.	.	PUNCT
fis-1254	315	1	nonlinear	nonlinear	PROPN
fis-1254	315	2	theory	theory	NOUN
fis-1254	315	3	of	of	ADP
fis-1254	315	4	multilayered	multilayere	VERB
fis-1254	315	5	plates	plate	NOUN
fis-1254	315	6	with	with	ADP
fis-1254	315	7	interlayer	interlayer	NOUN
fis-1254	315	8	slips	slip	VERB
fis-1254	315	9	,	,	PUNCT
fis-1254	315	10	aiaa	aiaa	PROPN
fis-1254	315	11	j.	j.	PROPN
fis-1254	315	12	,	,	PUNCT
fis-1254	315	13	35	35	NUM
fis-1254	315	14	(	(	PUNCT
fis-1254	315	15	1997	1997	NUM
fis-1254	315	16	)	)	PUNCT
fis-1254	315	17	1753	1753	NUM
fis-1254	315	18	-	-	SYM
fis-1254	315	19	1759	1759	NUM
fis-1254	315	20	.	.	PUNCT
fis-1254	316	1	e	e	X
fis-1254	316	2	s	s	NOUN
fis-1254	316	3	r	r	NOUN
fis-1254	316	4	massabò	massabò	PROPN
fis-1254	316	5	,	,	PUNCT
fis-1254	316	6	frattura	frattura	PROPN
fis-1254	316	7	ed	ed	PROPN
fis-1254	316	8	integrità	integrità	PROPN
fis-1254	316	9	strutturale	strutturale	PROPN
fis-1254	316	10	,	,	PUNCT
fis-1254	316	11	29(2014	29(2014	NUM
fis-1254	316	12	)	)	PUNCT
fis-1254	316	13	230	230	NUM
fis-1254	316	14	-	-	SYM
fis-1254	316	15	240	240	NUM
fis-1254	316	16	;	;	PUNCT
fis-1254	316	17	doi	doi	NOUN
fis-1254	316	18	:	:	PUNCT
fis-1254	316	19	10.3221	10.3221	NUM
fis-1254	316	20	/	/	SYM
fis-1254	316	21	igf	igf	PROPN
fis-1254	316	22	-	-	ADJ
fis-1254	316	23	esis.29.20	esis.29.20	NOUN
fis-1254	316	24	240	240	NUM
fis-1254	316	25	[	[	X
fis-1254	316	26	14	14	NUM
fis-1254	316	27	]	]	X
fis-1254	316	28	librescu	librescu	PROPN
fis-1254	316	29	,	,	PUNCT
fis-1254	316	30	l.	l.	PROPN
fis-1254	316	31	,	,	PUNCT
fis-1254	316	32	and	and	CCONJ
fis-1254	316	33	schmidt	schmidt	PROPN
fis-1254	316	34	,	,	PUNCT
fis-1254	316	35	r.	r.	PROPN
fis-1254	316	36	,	,	PUNCT
fis-1254	316	37	a	a	DET
fis-1254	316	38	general	general	ADJ
fis-1254	316	39	theory	theory	NOUN
fis-1254	316	40	of	of	ADP
fis-1254	316	41	laminated	laminated	ADJ
fis-1254	316	42	composite	composite	ADJ
fis-1254	316	43	shells	shell	NOUN
fis-1254	316	44	featuring	feature	VERB
fis-1254	316	45	interlaminar	interlaminar	NOUN
fis-1254	316	46	bonding	bonding	NOUN
fis-1254	316	47	imperfections	imperfection	NOUN
fis-1254	316	48	,	,	PUNCT
fis-1254	316	49	int	int	PROPN
fis-1254	316	50	j	j	PROPN
fis-1254	316	51	solids	solid	NOUN
fis-1254	316	52	struct	struct	NOUN
fis-1254	316	53	,	,	PUNCT
fis-1254	316	54	(	(	PUNCT
fis-1254	316	55	2001	2001	NUM
fis-1254	316	56	)	)	PUNCT
fis-1254	316	57	3355	3355	NUM
fis-1254	316	58	-	-	SYM
fis-1254	316	59	3375	3375	NUM
fis-1254	316	60	.	.	PUNCT
fis-1254	317	1	[	[	X
fis-1254	317	2	15	15	NUM
fis-1254	317	3	]	]	X
fis-1254	317	4	di	di	X
fis-1254	317	5	sciuva	sciuva	PROPN
fis-1254	317	6	m	m	PROPN
fis-1254	317	7	,	,	PUNCT
fis-1254	317	8	gherlone	gherlone	PROPN
fis-1254	317	9	m.	m.	NOUN
fis-1254	317	10	a	a	DET
fis-1254	317	11	global	global	ADJ
fis-1254	317	12	/	/	SYM
fis-1254	317	13	local	local	ADJ
fis-1254	317	14	third	third	ADJ
fis-1254	317	15	-	-	PUNCT
fis-1254	317	16	order	order	NOUN
fis-1254	317	17	hermitian	hermitian	ADJ
fis-1254	317	18	displacement	displacement	ADJ
fis-1254	317	19	field	field	NOUN
fis-1254	317	20	with	with	ADP
fis-1254	317	21	damaged	damage	VERB
fis-1254	317	22	interfaces	interface	NOUN
fis-1254	317	23	and	and	CCONJ
fis-1254	317	24	transverse	transverse	NOUN
fis-1254	317	25	extensibility	extensibility	NOUN
fis-1254	317	26	fem	fem	NOUN
fis-1254	317	27	formulation	formulation	NOUN
fis-1254	317	28	.	.	PUNCT
fis-1254	318	1	compos	compos	PROPN
fis-1254	318	2	struct	struct	VERB
fis-1254	318	3	59	59	NUM
fis-1254	318	4	(	(	PUNCT
fis-1254	318	5	2003	2003	NUM
fis-1254	318	6	)	)	PUNCT
fis-1254	318	7	433–44	433–44	NUM
fis-1254	318	8	.	.	PUNCT
fis-1254	319	1	[	[	X
fis-1254	319	2	16	16	NUM
fis-1254	319	3	]	]	X
fis-1254	319	4	chen	chen	PROPN
fis-1254	319	5	,	,	PUNCT
fis-1254	319	6	w.	w.	PROPN
fis-1254	319	7	q.	q.	PROPN
fis-1254	319	8	,	,	PUNCT
fis-1254	319	9	cai	cai	PROPN
fis-1254	319	10	,	,	PUNCT
fis-1254	319	11	j.	j.	PROPN
fis-1254	319	12	b.	b.	PROPN
fis-1254	319	13	,	,	PUNCT
fis-1254	319	14	and	and	CCONJ
fis-1254	319	15	ye	ye	NOUN
fis-1254	319	16	,	,	PUNCT
fis-1254	319	17	g.	g.	PROPN
fis-1254	319	18	r.	r.	PROPN
fis-1254	319	19	,	,	PUNCT
fis-1254	319	20	exact	exact	ADJ
fis-1254	319	21	solutions	solution	NOUN
fis-1254	319	22	of	of	ADP
fis-1254	319	23	cross	cross	ADJ
fis-1254	319	24	-	-	ADJ
fis-1254	319	25	ply	ply	ADJ
fis-1254	319	26	laminates	laminate	NOUN
fis-1254	319	27	with	with	ADP
fis-1254	319	28	bonding	bonding	NOUN
fis-1254	319	29	imperfections	imperfection	NOUN
fis-1254	319	30	,	,	PUNCT
fis-1254	319	31	aiaa	aiaa	PROPN
fis-1254	319	32	j	j	PROPN
fis-1254	319	33	,	,	PUNCT
fis-1254	319	34	41	41	NUM
fis-1254	319	35	(	(	PUNCT
fis-1254	319	36	11	11	NUM
fis-1254	319	37	)	)	PUNCT
fis-1254	319	38	(	(	PUNCT
fis-1254	319	39	2003	2003	NUM
fis-1254	319	40	)	)	PUNCT
fis-1254	319	41	2244	2244	NUM
fis-1254	319	42	-	-	SYM
fis-1254	319	43	2250	2250	NUM
fis-1254	319	44	.	.	PUNCT
fis-1254	320	1	[	[	X
fis-1254	320	2	17	17	NUM
fis-1254	320	3	]	]	SYM
fis-1254	320	4	tessler	tessler	NOUN
fis-1254	320	5	,	,	PUNCT
fis-1254	320	6	a.	a.	PROPN
fis-1254	320	7	,	,	PUNCT
fis-1254	320	8	di	di	PROPN
fis-1254	320	9	sciuva	sciuva	PROPN
fis-1254	320	10	,	,	PUNCT
fis-1254	320	11	m.	m.	NOUN
fis-1254	320	12	,	,	PUNCT
fis-1254	320	13	gherlone	gherlone	NOUN
fis-1254	320	14	,	,	PUNCT
fis-1254	320	15	m.	m.	NOUN
fis-1254	320	16	,	,	PUNCT
fis-1254	320	17	a	a	DET
fis-1254	320	18	refined	refined	ADJ
fis-1254	320	19	beam	beam	NOUN
fis-1254	320	20	theory	theory	NOUN
fis-1254	320	21	for	for	ADP
fis-1254	320	22	composite	composite	ADJ
fis-1254	320	23	and	and	CCONJ
fis-1254	320	24	sandwich	sandwich	NOUN
fis-1254	320	25	beams	beam	NOUN
fis-1254	320	26	,	,	PUNCT
fis-1254	320	27	journal	journal	NOUN
fis-1254	320	28	of	of	ADP
fis-1254	320	29	composite	composite	ADJ
fis-1254	320	30	materials	material	NOUN
fis-1254	320	31	43	43	NUM
fis-1254	320	32	(	(	PUNCT
fis-1254	320	33	9	9	NUM
fis-1254	320	34	)	)	PUNCT
fis-1254	320	35	(	(	PUNCT
fis-1254	320	36	2009	2009	NUM
fis-1254	320	37	)	)	PUNCT
fis-1254	320	38	1051	1051	NUM
fis-1254	320	39	-	-	SYM
fis-1254	320	40	1081	1081	NUM
fis-1254	320	41	.	.	PUNCT
fis-1254	321	1	[	[	X
fis-1254	321	2	18	18	NUM
fis-1254	321	3	]	]	X
fis-1254	321	4	massabò	massabò	PROPN
fis-1254	321	5	,	,	PUNCT
fis-1254	321	6	r.	r.	PROPN
fis-1254	321	7	,	,	PUNCT
fis-1254	321	8	campi	campi	PROPN
fis-1254	321	9	,	,	PUNCT
fis-1254	321	10	f.	f.	PROPN
fis-1254	321	11	,	,	PUNCT
fis-1254	321	12	assessment	assessment	NOUN
fis-1254	321	13	and	and	CCONJ
fis-1254	321	14	correction	correction	NOUN
fis-1254	321	15	of	of	ADP
fis-1254	321	16	theories	theory	NOUN
fis-1254	321	17	for	for	ADP
fis-1254	321	18	multilayered	multilayered	ADJ
fis-1254	321	19	plates	plate	NOUN
fis-1254	321	20	with	with	ADP
fis-1254	321	21	imperfect	imperfect	ADJ
fis-1254	321	22	interfaces	interface	NOUN
fis-1254	321	23	,	,	PUNCT
fis-1254	321	24	meccanica	meccanica	PROPN
fis-1254	321	25	,	,	PUNCT
fis-1254	321	26	2014	2014	NUM
fis-1254	321	27	,	,	PUNCT
fis-1254	321	28	in	in	ADP
fis-1254	321	29	press	press	NOUN
fis-1254	321	30	.	.	PUNCT
fis-1254	322	1	[	[	X
fis-1254	322	2	19	19	NUM
fis-1254	322	3	]	]	X
fis-1254	322	4	massabò	massabò	PROPN
fis-1254	322	5	r.	r.	PROPN
fis-1254	322	6	and	and	CCONJ
fis-1254	322	7	campi	campi	PROPN
fis-1254	322	8	f.	f.	PROPN
fis-1254	322	9	,	,	PUNCT
fis-1254	322	10	an	an	DET
fis-1254	322	11	efficient	efficient	ADJ
fis-1254	322	12	approach	approach	NOUN
fis-1254	322	13	for	for	ADP
fis-1254	322	14	multilayered	multilayered	ADJ
fis-1254	322	15	beams	beam	NOUN
fis-1254	322	16	and	and	CCONJ
fis-1254	322	17	wide	wide	ADJ
fis-1254	322	18	plates	plate	NOUN
fis-1254	322	19	with	with	ADP
fis-1254	322	20	imperfect	imperfect	ADJ
fis-1254	322	21	interfaces	interface	NOUN
fis-1254	322	22	and	and	CCONJ
fis-1254	322	23	delaminations	delamination	NOUN
fis-1254	322	24	,	,	PUNCT
fis-1254	322	25	compos	compos	NOUN
fis-1254	322	26	struct	struct	NOUN
fis-1254	322	27	116	116	NUM
fis-1254	322	28	(	(	PUNCT
fis-1254	322	29	2014	2014	NUM
fis-1254	322	30	)	)	PUNCT
fis-1254	322	31	311	311	NUM
fis-1254	322	32	-	-	SYM
fis-1254	322	33	324	324	NUM
fis-1254	322	34	.	.	PUNCT
fis-1254	323	1	[	[	X
fis-1254	323	2	20	20	NUM
fis-1254	323	3	]	]	PUNCT
fis-1254	323	4	sridhar	sridhar	NOUN
fis-1254	323	5	,	,	PUNCT
fis-1254	323	6	n.	n.	NOUN
fis-1254	323	7	,	,	PUNCT
fis-1254	323	8	massabò	massabò	PROPN
fis-1254	323	9	,	,	PUNCT
fis-1254	323	10	r.	r.	PROPN
fis-1254	323	11	,	,	PUNCT
fis-1254	323	12	cox	cox	PROPN
fis-1254	323	13	,	,	PUNCT
fis-1254	323	14	b.n	b.n	PROPN
fis-1254	323	15	.	.	PROPN
fis-1254	323	16	,	,	PUNCT
fis-1254	323	17	and	and	CCONJ
fis-1254	323	18	beyerlein	beyerlein	PROPN
fis-1254	323	19	,	,	PUNCT
fis-1254	323	20	i.	i.	NOUN
fis-1254	323	21	,	,	PUNCT
fis-1254	323	22	delamination	delamination	NOUN
fis-1254	323	23	dynamics	dynamic	NOUN
fis-1254	323	24	in	in	ADP
fis-1254	323	25	through	through	ADP
fis-1254	323	26	-	-	PUNCT
fis-1254	323	27	thickness	thickness	NOUN
fis-1254	323	28	reinforced	reinforce	VERB
fis-1254	323	29	laminates	laminate	NOUN
fis-1254	323	30	with	with	ADP
fis-1254	323	31	application	application	NOUN
fis-1254	323	32	to	to	ADP
fis-1254	323	33	dcb	dcb	PROPN
fis-1254	323	34	specimen	speciman	NOUN
fis-1254	323	35	,	,	PUNCT
fis-1254	323	36	int	int	NOUN
fis-1254	323	37	j	j	PROPN
fis-1254	323	38	fracture	fracture	NOUN
fis-1254	323	39	,	,	PUNCT
fis-1254	323	40	118	118	NUM
fis-1254	323	41	(	(	PUNCT
fis-1254	323	42	2002	2002	NUM
fis-1254	323	43	)	)	PUNCT
fis-1254	323	44	119	119	NUM
fis-1254	323	45	-	-	SYM
fis-1254	323	46	144	144	NUM
fis-1254	324	1	[	[	X
fis-1254	324	2	21	21	NUM
fis-1254	324	3	]	]	X
fis-1254	324	4	massabò	massabò	PROPN
fis-1254	324	5	,	,	PUNCT
fis-1254	324	6	r.	r.	PROPN
fis-1254	324	7	,	,	PUNCT
fis-1254	324	8	mumm	mumm	PROPN
fis-1254	324	9	,	,	PUNCT
fis-1254	324	10	d.	d.	PROPN
fis-1254	324	11	,	,	PUNCT
fis-1254	324	12	and	and	CCONJ
fis-1254	324	13	cox	cox	PROPN
fis-1254	324	14	,	,	PUNCT
fis-1254	324	15	b.n	b.n	PROPN
fis-1254	324	16	.	.	PROPN
fis-1254	324	17	,	,	PUNCT
fis-1254	324	18	characterizing	characterize	VERB
fis-1254	324	19	mode	mode	NOUN
fis-1254	324	20	ii	ii	PROPN
fis-1254	324	21	delamination	delamination	NOUN
fis-1254	324	22	cracks	crack	NOUN
fis-1254	324	23	in	in	ADP
fis-1254	324	24	stitched	stitched	ADJ
fis-1254	324	25	composites	composite	NOUN
fis-1254	324	26	,	,	PUNCT
fis-1254	324	27	int	int	NOUN
fis-1254	324	28	j	j	PROPN
fis-1254	324	29	fracture	fracture	NOUN
fis-1254	324	30	,	,	PUNCT
fis-1254	324	31	92(1	92(1	NOUN
fis-1254	324	32	)	)	PUNCT
fis-1254	324	33	(	(	PUNCT
fis-1254	324	34	1998	1998	NUM
fis-1254	324	35	)	)	PUNCT
fis-1254	324	36	1	1	NUM
fis-1254	324	37	-	-	SYM
fis-1254	324	38	38	38	NUM
fis-1254	324	39	.	.	PUNCT
fis-1254	325	1	[	[	X
fis-1254	325	2	22	22	NUM
fis-1254	325	3	]	]	X
fis-1254	325	4	bert	bert	PROPN
fis-1254	325	5	,	,	PUNCT
fis-1254	325	6	cw	cw	NOUN
fis-1254	325	7	,	,	PUNCT
fis-1254	325	8	simplified	simplify	VERB
fis-1254	325	9	analysis	analysis	NOUN
fis-1254	325	10	of	of	ADP
fis-1254	325	11	static	static	ADJ
fis-1254	325	12	shear	shear	NOUN
fis-1254	325	13	factors	factor	NOUN
fis-1254	325	14	for	for	ADP
fis-1254	325	15	beams	beam	NOUN
fis-1254	325	16	of	of	ADP
fis-1254	325	17	nonhomogeneous	nonhomogeneous	ADJ
fis-1254	325	18	cross	cross	NOUN
fis-1254	325	19	section	section	NOUN
fis-1254	325	20	,	,	PUNCT
fis-1254	325	21	j	j	PROPN
fis-1254	325	22	composite	composite	ADJ
fis-1254	325	23	materials	material	NOUN
fis-1254	325	24	,	,	PUNCT
fis-1254	325	25	3	3	NUM
fis-1254	325	26	,	,	PUNCT
fis-1254	325	27	525	525	NUM
fis-1254	325	28	,	,	PUNCT
fis-1254	325	29	1973	1973	NUM
fis-1254	325	30	.	.	PUNCT
fis-1254	326	1	[	[	X
fis-1254	326	2	23	23	NUM
fis-1254	326	3	]	]	X
fis-1254	326	4	andrews	andrews	PROPN
fis-1254	326	5	,	,	PUNCT
fis-1254	326	6	m.g	m.g	PROPN
fis-1254	326	7	.	.	PROPN
fis-1254	326	8	and	and	CCONJ
fis-1254	326	9	massabò	massabò	PROPN
fis-1254	326	10	,	,	PUNCT
fis-1254	326	11	r.	r.	PROPN
fis-1254	326	12	,	,	PUNCT
fis-1254	326	13	the	the	DET
fis-1254	326	14	effects	effect	NOUN
fis-1254	326	15	of	of	ADP
fis-1254	326	16	shear	shear	NOUN
fis-1254	326	17	and	and	CCONJ
fis-1254	326	18	near	near	ADP
fis-1254	326	19	tip	tip	NOUN
fis-1254	326	20	deformations	deformation	NOUN
fis-1254	326	21	on	on	ADP
fis-1254	326	22	energy	energy	NOUN
fis-1254	326	23	release	release	NOUN
fis-1254	326	24	rate	rate	NOUN
fis-1254	326	25	and	and	CCONJ
fis-1254	326	26	mode	mode	NOUN
fis-1254	326	27	mixity	mixity	NOUN
fis-1254	326	28	of	of	ADP
fis-1254	326	29	edge	edge	NOUN
fis-1254	326	30	-	-	PUNCT
fis-1254	326	31	cracked	crack	VERB
fis-1254	326	32	orthotropic	orthotropic	ADJ
fis-1254	326	33	layers	layer	NOUN
fis-1254	326	34	,	,	PUNCT
fis-1254	326	35	eng	eng	PROPN
fis-1254	326	36	fract	fract	PROPN
fis-1254	326	37	mech	mech	PROPN
fis-1254	326	38	,	,	PUNCT
fis-1254	326	39	74	74	NUM
fis-1254	326	40	(	(	PUNCT
fis-1254	326	41	2007	2007	NUM
fis-1254	326	42	)	)	PUNCT
fis-1254	326	43	2700	2700	NUM
fis-1254	326	44	-	-	SYM
fis-1254	326	45	2720	2720	NUM
fis-1254	326	46	.	.	PUNCT