id	sid	tid	token	lemma	pos
ap-612	1	1	ap04-bittnar1.vp	ap04-bittnar1.vp	PROPN
ap-612	1	2	1	1	NUM
ap-612	1	3	introduction	introduction	NOUN
ap-612	1	4	when	when	SCONJ
ap-612	1	5	the	the	DET
ap-612	1	6	dimensions	dimension	NOUN
ap-612	1	7	of	of	ADP
ap-612	1	8	a	a	DET
ap-612	1	9	structure	structure	NOUN
ap-612	1	10	are	be	AUX
ap-612	1	11	scaled	scale	VERB
ap-612	1	12	proportionally	proportionally	ADV
ap-612	1	13	(	(	PUNCT
ap-612	1	14	i.e.	i.e.	X
ap-612	1	15	keeping	keep	VERB
ap-612	1	16	the	the	DET
ap-612	1	17	ratios	ratio	NOUN
ap-612	1	18	between	between	ADP
ap-612	1	19	the	the	DET
ap-612	1	20	relevant	relevant	ADJ
ap-612	1	21	dimensions	dimension	NOUN
ap-612	1	22	that	that	PRON
ap-612	1	23	have	have	AUX
ap-612	1	24	been	be	AUX
ap-612	1	25	fixed	fix	VERB
ap-612	1	26	)	)	PUNCT
ap-612	1	27	,	,	PUNCT
ap-612	1	28	the	the	DET
ap-612	1	29	mechanical	mechanical	ADJ
ap-612	1	30	properties	property	NOUN
ap-612	1	31	of	of	ADP
ap-612	1	32	the	the	DET
ap-612	1	33	various	various	ADJ
ap-612	1	34	samples	sample	NOUN
ap-612	1	35	differ	differ	VERB
ap-612	1	36	.	.	PUNCT
ap-612	2	1	this	this	DET
ap-612	2	2	phenomenon	phenomenon	NOUN
ap-612	2	3	is	be	AUX
ap-612	2	4	known	know	VERB
ap-612	2	5	as	as	ADP
ap-612	2	6	size	size	NOUN
ap-612	2	7	effect	effect	NOUN
ap-612	2	8	,	,	PUNCT
ap-612	2	9	see	see	VERB
ap-612	2	10	for	for	ADP
ap-612	2	11	instance	instance	NOUN
ap-612	2	12	[	[	X
ap-612	2	13	1,2,3,4	1,2,3,4	NUM
ap-612	2	14	]	]	PUNCT
ap-612	2	15	and	and	CCONJ
ap-612	2	16	references	reference	NOUN
ap-612	2	17	therein	therein	ADV
ap-612	2	18	.	.	PUNCT
ap-612	3	1	being	be	AUX
ap-612	3	2	able	able	ADJ
ap-612	3	3	to	to	PART
ap-612	3	4	model	model	VERB
ap-612	3	5	size	size	NOUN
ap-612	3	6	effects	effect	NOUN
ap-612	3	7	is	be	AUX
ap-612	3	8	relevant	relevant	ADJ
ap-612	3	9	since	since	SCONJ
ap-612	3	10	the	the	DET
ap-612	3	11	size	size	NOUN
ap-612	3	12	range	range	NOUN
ap-612	3	13	of	of	ADP
ap-612	3	14	specimens	specimen	NOUN
ap-612	3	15	that	that	PRON
ap-612	3	16	can	can	AUX
ap-612	3	17	be	be	AUX
ap-612	3	18	tested	test	VERB
ap-612	3	19	experimentally	experimentally	ADV
ap-612	3	20	is	be	AUX
ap-612	3	21	limited	limited	ADJ
ap-612	3	22	,	,	PUNCT
ap-612	3	23	and	and	CCONJ
ap-612	3	24	extrapolations	extrapolation	NOUN
ap-612	3	25	towards	towards	ADP
ap-612	3	26	very	very	ADV
ap-612	3	27	large	large	ADJ
ap-612	3	28	specimen	speciman	NOUN
ap-612	3	29	sizes	size	NOUN
ap-612	3	30	must	must	AUX
ap-612	3	31	be	be	AUX
ap-612	3	32	made	make	VERB
ap-612	3	33	theoretically	theoretically	ADV
ap-612	3	34	.	.	PUNCT
ap-612	4	1	it	it	PRON
ap-612	4	2	has	have	AUX
ap-612	4	3	sometimes	sometimes	ADV
ap-612	4	4	been	be	AUX
ap-612	4	5	claimed	claim	VERB
ap-612	4	6	that	that	SCONJ
ap-612	4	7	a	a	DET
ap-612	4	8	proper	proper	ADJ
ap-612	4	9	modelling	modelling	NOUN
ap-612	4	10	of	of	ADP
ap-612	4	11	size	size	NOUN
ap-612	4	12	effects	effect	NOUN
ap-612	4	13	includes	include	VERB
ap-612	4	14	extensions	extension	NOUN
ap-612	4	15	towards	towards	ADP
ap-612	4	16	the	the	DET
ap-612	4	17	very	very	ADV
ap-612	4	18	large	large	ADJ
ap-612	4	19	size	size	NOUN
ap-612	4	20	range	range	NOUN
ap-612	4	21	as	as	ADV
ap-612	4	22	well	well	ADV
ap-612	4	23	as	as	ADP
ap-612	4	24	the	the	DET
ap-612	4	25	very	very	ADV
ap-612	4	26	small	small	ADJ
ap-612	4	27	size	size	NOUN
ap-612	4	28	range	range	NOUN
ap-612	4	29	.	.	PUNCT
ap-612	5	1	however	however	ADV
ap-612	5	2	,	,	PUNCT
ap-612	5	3	in	in	ADP
ap-612	5	4	the	the	DET
ap-612	5	5	very	very	ADV
ap-612	5	6	small	small	ADJ
ap-612	5	7	size	size	NOUN
ap-612	5	8	range	range	VERB
ap-612	5	9	the	the	DET
ap-612	5	10	mesoscopic	mesoscopic	NOUN
ap-612	5	11	or	or	CCONJ
ap-612	5	12	microscopic	microscopic	ADJ
ap-612	5	13	constituents	constituent	NOUN
ap-612	5	14	start	start	VERB
ap-612	5	15	to	to	PART
ap-612	5	16	play	play	VERB
ap-612	5	17	a	a	DET
ap-612	5	18	dominant	dominant	ADJ
ap-612	5	19	role	role	NOUN
ap-612	6	1	[	[	X
ap-612	6	2	5	5	NUM
ap-612	6	3	]	]	PUNCT
ap-612	6	4	,	,	PUNCT
ap-612	6	5	and	and	CCONJ
ap-612	6	6	it	it	PRON
ap-612	6	7	must	must	AUX
ap-612	6	8	be	be	AUX
ap-612	6	9	questioned	question	VERB
ap-612	6	10	whether	whether	SCONJ
ap-612	6	11	the	the	DET
ap-612	6	12	traditional	traditional	ADJ
ap-612	6	13	assumptions	assumption	NOUN
ap-612	6	14	of	of	ADP
ap-612	6	15	continuum	continuum	ADJ
ap-612	6	16	mechanics	mechanic	NOUN
ap-612	6	17	still	still	ADV
ap-612	6	18	hold	hold	VERB
ap-612	6	19	.	.	PUNCT
ap-612	7	1	size	size	NOUN
ap-612	7	2	effects	effect	NOUN
ap-612	7	3	have	have	VERB
ap-612	7	4	different	different	ADJ
ap-612	7	5	origins	origin	NOUN
ap-612	7	6	.	.	PUNCT
ap-612	8	1	originally	originally	ADV
ap-612	8	2	,	,	PUNCT
ap-612	8	3	it	it	PRON
ap-612	8	4	was	be	AUX
ap-612	8	5	thought	think	VERB
ap-612	8	6	that	that	SCONJ
ap-612	8	7	merely	merely	ADV
ap-612	8	8	a	a	DET
ap-612	8	9	statistical	statistical	ADJ
ap-612	8	10	size	size	NOUN
ap-612	8	11	effect	effect	NOUN
ap-612	8	12	exists	exist	VERB
ap-612	8	13	,	,	PUNCT
ap-612	8	14	which	which	PRON
ap-612	8	15	can	can	AUX
ap-612	8	16	be	be	AUX
ap-612	8	17	understood	understand	VERB
ap-612	8	18	from	from	ADP
ap-612	8	19	the	the	DET
ap-612	8	20	fact	fact	NOUN
ap-612	8	21	that	that	SCONJ
ap-612	8	22	larger	large	ADJ
ap-612	8	23	specimens	specimen	NOUN
ap-612	8	24	have	have	AUX
ap-612	8	25	a	a	DET
ap-612	8	26	bigger	big	ADJ
ap-612	8	27	chance	chance	NOUN
ap-612	8	28	that	that	SCONJ
ap-612	8	29	a	a	DET
ap-612	8	30	weakest	weak	ADJ
ap-612	8	31	-	-	PUNCT
ap-612	8	32	link	link	NOUN
ap-612	8	33	is	be	AUX
ap-612	8	34	present	present	ADJ
ap-612	8	35	.	.	PUNCT
ap-612	9	1	more	more	ADV
ap-612	9	2	recently	recently	ADV
ap-612	9	3	it	it	PRON
ap-612	9	4	has	have	AUX
ap-612	9	5	been	be	AUX
ap-612	9	6	recognised	recognise	VERB
ap-612	9	7	that	that	SCONJ
ap-612	9	8	also	also	ADV
ap-612	9	9	a	a	DET
ap-612	9	10	deterministic	deterministic	ADJ
ap-612	9	11	size	size	NOUN
ap-612	9	12	effect	effect	NOUN
ap-612	9	13	(	(	PUNCT
ap-612	9	14	also	also	ADV
ap-612	9	15	known	know	VERB
ap-612	9	16	as	as	ADP
ap-612	9	17	an	an	DET
ap-612	9	18	energetic	energetic	ADJ
ap-612	9	19	size	size	NOUN
ap-612	9	20	effect	effect	NOUN
ap-612	9	21	)	)	PUNCT
ap-612	9	22	exists	exist	VERB
ap-612	9	23	,	,	PUNCT
ap-612	9	24	which	which	PRON
ap-612	9	25	has	have	AUX
ap-612	9	26	been	be	AUX
ap-612	9	27	exemplified	exemplify	VERB
ap-612	9	28	in	in	ADP
ap-612	9	29	tests	test	NOUN
ap-612	9	30	where	where	SCONJ
ap-612	9	31	theoretically	theoretically	ADV
ap-612	9	32	predicted	predict	VERB
ap-612	9	33	stress	stress	NOUN
ap-612	9	34	gradients	gradient	NOUN
ap-612	9	35	are	be	AUX
ap-612	9	36	dominant	dominant	ADJ
ap-612	9	37	over	over	ADP
ap-612	9	38	local	local	ADJ
ap-612	9	39	stress	stress	NOUN
ap-612	9	40	fluctuations	fluctuation	NOUN
ap-612	9	41	(	(	PUNCT
ap-612	9	42	e.g.	e.g.	ADV
ap-612	9	43	bending	bend	VERB
ap-612	9	44	tests	test	NOUN
ap-612	9	45	)	)	PUNCT
ap-612	9	46	.	.	PUNCT
ap-612	10	1	furthermore	furthermore	ADV
ap-612	10	2	,	,	PUNCT
ap-612	10	3	different	different	ADJ
ap-612	10	4	size	size	NOUN
ap-612	10	5	effect	effect	NOUN
ap-612	10	6	trends	trend	NOUN
ap-612	10	7	are	be	AUX
ap-612	10	8	observed	observe	VERB
ap-612	10	9	for	for	ADP
ap-612	10	10	unnotched	unnotched	ADJ
ap-612	10	11	specimens	specimen	NOUN
ap-612	10	12	on	on	ADP
ap-612	10	13	,	,	PUNCT
ap-612	10	14	the	the	DET
ap-612	10	15	one	one	NUM
ap-612	10	16	hand	hand	NOUN
ap-612	10	17	,	,	PUNCT
ap-612	10	18	and	and	CCONJ
ap-612	10	19	notched	notch	VERB
ap-612	10	20	specimens	specimen	NOUN
ap-612	10	21	where	where	SCONJ
ap-612	10	22	the	the	DET
ap-612	10	23	notch	notch	NOUN
ap-612	10	24	scales	scale	NOUN
ap-612	10	25	proportionally	proportionally	ADV
ap-612	10	26	,	,	PUNCT
ap-612	10	27	on	on	ADP
ap-612	10	28	the	the	DET
ap-612	10	29	other	other	ADJ
ap-612	10	30	.	.	PUNCT
ap-612	11	1	in	in	ADP
ap-612	11	2	the	the	DET
ap-612	11	3	past	past	ADJ
ap-612	11	4	decades	decade	NOUN
ap-612	11	5	,	,	PUNCT
ap-612	11	6	many	many	ADJ
ap-612	11	7	formulas	formula	NOUN
ap-612	11	8	have	have	AUX
ap-612	11	9	been	be	AUX
ap-612	11	10	proposed	propose	VERB
ap-612	11	11	in	in	ADP
ap-612	11	12	order	order	NOUN
ap-612	11	13	to	to	PART
ap-612	11	14	capture	capture	VERB
ap-612	11	15	size	size	NOUN
ap-612	11	16	effects	effect	NOUN
ap-612	11	17	,	,	PUNCT
ap-612	11	18	most	most	ADV
ap-612	11	19	notably	notably	ADV
ap-612	11	20	the	the	DET
ap-612	11	21	multi	multi	ADJ
ap-612	11	22	-	-	ADJ
ap-612	11	23	fractal	fractal	ADJ
ap-612	11	24	scaling	scale	VERB
ap-612	11	25	law	law	NOUN
ap-612	11	26	(	(	PUNCT
ap-612	11	27	mfsl	mfsl	PROPN
ap-612	11	28	)	)	PUNCT
ap-612	11	29	by	by	ADP
ap-612	11	30	carpinteri	carpinteri	NOUN
ap-612	11	31	and	and	CCONJ
ap-612	11	32	co	co	NOUN
ap-612	11	33	-	-	NOUN
ap-612	11	34	workers	worker	NOUN
ap-612	11	35	and	and	CCONJ
ap-612	11	36	the	the	DET
ap-612	11	37	size	size	NOUN
ap-612	11	38	effect	effect	NOUN
ap-612	11	39	law	law	NOUN
ap-612	11	40	(	(	PUNCT
ap-612	11	41	sel	sel	NOUN
ap-612	11	42	)	)	PUNCT
ap-612	11	43	by	by	ADP
ap-612	11	44	bažant	bažant	NOUN
ap-612	11	45	.	.	PUNCT
ap-612	12	1	these	these	DET
ap-612	12	2	proposed	propose	VERB
ap-612	12	3	models	model	NOUN
ap-612	12	4	more	more	ADV
ap-612	12	5	or	or	CCONJ
ap-612	12	6	less	less	ADJ
ap-612	12	7	coincide	coincide	NOUN
ap-612	12	8	in	in	ADP
ap-612	12	9	the	the	DET
ap-612	12	10	size	size	NOUN
ap-612	12	11	range	range	NOUN
ap-612	12	12	where	where	SCONJ
ap-612	12	13	experimental	experimental	ADJ
ap-612	12	14	data	datum	NOUN
ap-612	12	15	are	be	AUX
ap-612	12	16	available;	available;	ADJ
ap-612	12	17	however	however	ADV
ap-612	12	18	,	,	PUNCT
ap-612	12	19	for	for	ADP
ap-612	12	20	the	the	DET
ap-612	12	21	small	small	ADJ
ap-612	12	22	-	-	PUNCT
ap-612	12	23	size	size	NOUN
ap-612	12	24	limit	limit	NOUN
ap-612	12	25	and	and	CCONJ
ap-612	12	26	the	the	DET
ap-612	12	27	large	large	ADJ
ap-612	12	28	-	-	PUNCT
ap-612	12	29	size	size	NOUN
ap-612	12	30	limit	limit	NOUN
ap-612	12	31	important	important	ADJ
ap-612	12	32	differences	difference	NOUN
ap-612	12	33	may	may	AUX
ap-612	12	34	be	be	AUX
ap-612	12	35	present	present	ADJ
ap-612	12	36	.	.	PUNCT
ap-612	13	1	to	to	PART
ap-612	13	2	contribute	contribute	VERB
ap-612	13	3	additional	additional	ADJ
ap-612	13	4	arguments	argument	NOUN
ap-612	13	5	in	in	ADP
ap-612	13	6	this	this	DET
ap-612	13	7	discussion	discussion	NOUN
ap-612	13	8	,	,	PUNCT
ap-612	13	9	an	an	DET
ap-612	13	10	attempt	attempt	NOUN
ap-612	13	11	is	be	AUX
ap-612	13	12	made	make	VERB
ap-612	13	13	here	here	ADV
ap-612	13	14	to	to	PART
ap-612	13	15	interpret	interpret	VERB
ap-612	13	16	size	size	NOUN
ap-612	13	17	effects	effect	NOUN
ap-612	13	18	purely	purely	ADV
ap-612	13	19	from	from	ADP
ap-612	13	20	a	a	DET
ap-612	13	21	material	material	NOUN
ap-612	13	22	modelling	modelling	NOUN
ap-612	13	23	point	point	NOUN
ap-612	13	24	of	of	ADP
ap-612	13	25	view	view	NOUN
ap-612	13	26	.	.	PUNCT
ap-612	14	1	size	size	NOUN
ap-612	14	2	effects	effect	NOUN
ap-612	14	3	occur	occur	VERB
ap-612	14	4	when	when	SCONJ
ap-612	14	5	characteristic	characteristic	ADJ
ap-612	14	6	lengths	length	NOUN
ap-612	14	7	at	at	ADP
ap-612	14	8	the	the	DET
ap-612	14	9	structural	structural	ADJ
ap-612	14	10	level	level	NOUN
ap-612	14	11	and	and	CCONJ
ap-612	14	12	at	at	ADP
ap-612	14	13	the	the	DET
ap-612	14	14	material	material	NOUN
ap-612	14	15	level	level	NOUN
ap-612	14	16	interact	interact	VERB
ap-612	14	17	–	–	PUNCT
ap-612	14	18	increasing	increase	VERB
ap-612	14	19	the	the	DET
ap-612	14	20	specimen	speciman	NOUN
ap-612	14	21	size	size	NOUN
ap-612	14	22	while	while	SCONJ
ap-612	14	23	using	use	VERB
ap-612	14	24	the	the	DET
ap-612	14	25	same	same	ADJ
ap-612	14	26	material	material	NOUN
ap-612	14	27	implies	imply	VERB
ap-612	14	28	that	that	SCONJ
ap-612	14	29	the	the	DET
ap-612	14	30	material	material	NOUN
ap-612	14	31	length	length	NOUN
ap-612	14	32	scale	scale	NOUN
ap-612	14	33	remains	remain	VERB
ap-612	14	34	constant	constant	ADJ
ap-612	14	35	.	.	PUNCT
ap-612	15	1	classical	classical	ADJ
ap-612	15	2	continua	continuum	NOUN
ap-612	15	3	in	in	ADP
ap-612	15	4	an	an	DET
ap-612	15	5	elasticity	elasticity	NOUN
ap-612	15	6	,	,	PUNCT
ap-612	15	7	plasticity	plasticity	NOUN
ap-612	15	8	or	or	CCONJ
ap-612	15	9	damage	damage	NOUN
ap-612	15	10	context	context	NOUN
ap-612	15	11	do	do	AUX
ap-612	15	12	not	not	PART
ap-612	15	13	contain	contain	VERB
ap-612	15	14	a	a	DET
ap-612	15	15	material	material	NOUN
ap-612	15	16	length	length	NOUN
ap-612	15	17	scale	scale	NOUN
ap-612	15	18	.	.	PUNCT
ap-612	16	1	as	as	ADP
ap-612	16	2	a	a	DET
ap-612	16	3	result	result	NOUN
ap-612	16	4	,	,	PUNCT
ap-612	16	5	they	they	PRON
ap-612	16	6	are	be	AUX
ap-612	16	7	unable	unable	ADJ
ap-612	16	8	to	to	PART
ap-612	16	9	describe	describe	VERB
ap-612	16	10	size	size	NOUN
ap-612	16	11	effects	effect	NOUN
ap-612	16	12	.	.	PUNCT
ap-612	17	1	in	in	ADP
ap-612	17	2	contrast	contrast	NOUN
ap-612	17	3	,	,	PUNCT
ap-612	17	4	enhanced	enhance	VERB
ap-612	17	5	continua	continuum	NOUN
ap-612	17	6	may	may	AUX
ap-612	17	7	be	be	AUX
ap-612	17	8	used	use	VERB
ap-612	17	9	in	in	ADP
ap-612	17	10	which	which	PRON
ap-612	17	11	an	an	DET
ap-612	17	12	intrinsic	intrinsic	ADJ
ap-612	17	13	length	length	NOUN
ap-612	17	14	scale	scale	NOUN
ap-612	17	15	is	be	AUX
ap-612	17	16	incorporated	incorporate	VERB
ap-612	17	17	as	as	ADP
ap-612	17	18	an	an	DET
ap-612	17	19	additional	additional	ADJ
ap-612	17	20	material	material	NOUN
ap-612	17	21	parameter	parameter	NOUN
ap-612	17	22	.	.	PUNCT
ap-612	18	1	with	with	ADP
ap-612	18	2	these	these	DET
ap-612	18	3	so	so	ADV
ap-612	18	4	-	-	PUNCT
ap-612	18	5	called	call	VERB
ap-612	18	6	nonlocal	nonlocal	ADJ
ap-612	18	7	continuum	continuum	ADJ
ap-612	18	8	descriptions	description	NOUN
ap-612	18	9	,	,	PUNCT
ap-612	18	10	size	size	NOUN
ap-612	18	11	-	-	PUNCT
ap-612	18	12	effects	effect	NOUN
ap-612	18	13	can	can	AUX
ap-612	18	14	be	be	AUX
ap-612	18	15	described	describe	VERB
ap-612	18	16	as	as	SCONJ
ap-612	18	17	has	have	AUX
ap-612	18	18	been	be	AUX
ap-612	18	19	shown	show	VERB
ap-612	18	20	for	for	ADP
ap-612	18	21	instance	instance	NOUN
ap-612	18	22	in	in	ADP
ap-612	18	23	[	[	X
ap-612	18	24	6	6	NUM
ap-612	18	25	,	,	PUNCT
ap-612	18	26	7	7	NUM
ap-612	18	27	,	,	PUNCT
ap-612	18	28	2	2	NUM
ap-612	18	29	,	,	PUNCT
ap-612	18	30	8	8	NUM
ap-612	18	31	,	,	PUNCT
ap-612	18	32	9	9	NUM
ap-612	18	33	,	,	PUNCT
ap-612	18	34	10	10	NUM
ap-612	18	35	]	]	PUNCT
ap-612	18	36	.	.	PUNCT
ap-612	19	1	in	in	ADP
ap-612	19	2	[	[	X
ap-612	19	3	11	11	NUM
ap-612	19	4	,	,	PUNCT
ap-612	19	5	12	12	NUM
ap-612	19	6	]	]	PUNCT
ap-612	19	7	the	the	DET
ap-612	19	8	occurrence	occurrence	NOUN
ap-612	19	9	of	of	ADP
ap-612	19	10	size	size	NOUN
ap-612	19	11	effects	effect	NOUN
ap-612	19	12	has	have	AUX
ap-612	19	13	been	be	AUX
ap-612	19	14	used	use	VERB
ap-612	19	15	to	to	PART
ap-612	19	16	estimate	estimate	VERB
ap-612	19	17	the	the	DET
ap-612	19	18	internal	internal	ADJ
ap-612	19	19	length	length	NOUN
ap-612	19	20	scale	scale	NOUN
ap-612	19	21	,	,	PUNCT
ap-612	19	22	thus	thus	ADV
ap-612	19	23	further	far	ADV
ap-612	19	24	establishing	establish	VERB
ap-612	19	25	the	the	DET
ap-612	19	26	relation	relation	NOUN
ap-612	19	27	that	that	PRON
ap-612	19	28	exists	exist	VERB
ap-612	19	29	between	between	ADP
ap-612	19	30	the	the	DET
ap-612	19	31	presence	presence	NOUN
ap-612	19	32	of	of	ADP
ap-612	19	33	an	an	DET
ap-612	19	34	internal	internal	ADJ
ap-612	19	35	length	length	NOUN
ap-612	19	36	scale	scale	NOUN
ap-612	19	37	and	and	CCONJ
ap-612	19	38	the	the	DET
ap-612	19	39	occurrence	occurrence	NOUN
ap-612	19	40	of	of	ADP
ap-612	19	41	size	size	NOUN
ap-612	19	42	effects	effect	NOUN
ap-612	19	43	.	.	PUNCT
ap-612	20	1	finally	finally	ADV
ap-612	20	2	,	,	PUNCT
ap-612	20	3	in	in	ADP
ap-612	20	4	[	[	PUNCT
ap-612	20	5	13	13	NUM
ap-612	20	6	]	]	PUNCT
ap-612	20	7	a	a	DET
ap-612	20	8	nonlocal	nonlocal	ADJ
ap-612	20	9	damage	damage	NOUN
ap-612	20	10	continuum	continuum	NOUN
ap-612	20	11	is	be	AUX
ap-612	20	12	used	use	VERB
ap-612	20	13	in	in	ADP
ap-612	20	14	conjunction	conjunction	NOUN
ap-612	20	15	with	with	ADP
ap-612	20	16	stochastic	stochastic	ADJ
ap-612	20	17	finite	finite	ADJ
ap-612	20	18	elements	element	NOUN
ap-612	20	19	in	in	ADP
ap-612	20	20	order	order	NOUN
ap-612	20	21	to	to	PART
ap-612	20	22	capture	capture	VERB
ap-612	20	23	deterministic	deterministic	ADJ
ap-612	20	24	and	and	CCONJ
ap-612	20	25	statistic	statistic	ADJ
ap-612	20	26	size	size	NOUN
ap-612	20	27	effects	effect	NOUN
ap-612	20	28	simultaneously	simultaneously	ADV
ap-612	20	29	.	.	PUNCT
ap-612	21	1	in	in	ADP
ap-612	21	2	this	this	DET
ap-612	21	3	paper	paper	NOUN
ap-612	21	4	,	,	PUNCT
ap-612	21	5	we	we	PRON
ap-612	21	6	will	will	AUX
ap-612	21	7	employ	employ	VERB
ap-612	21	8	a	a	DET
ap-612	21	9	nonlocal	nonlocal	ADJ
ap-612	21	10	damage	damage	NOUN
ap-612	21	11	continuum	continuum	NOUN
ap-612	21	12	of	of	ADP
ap-612	21	13	the	the	DET
ap-612	21	14	differential	differential	ADJ
ap-612	21	15	format	format	NOUN
ap-612	21	16	proposed	propose	VERB
ap-612	21	17	in	in	ADP
ap-612	21	18	[	[	X
ap-612	21	19	14	14	NUM
ap-612	21	20	]	]	PUNCT
ap-612	21	21	and	and	CCONJ
ap-612	21	22	a	a	DET
ap-612	21	23	viscoplastic	viscoplastic	ADJ
ap-612	21	24	damage	damage	NOUN
ap-612	21	25	continuum	continuum	NOUN
ap-612	21	26	as	as	SCONJ
ap-612	21	27	described	describe	VERB
ap-612	21	28	in	in	ADP
ap-612	21	29	[	[	X
ap-612	21	30	15	15	NUM
ap-612	21	31	]	]	PUNCT
ap-612	21	32	.	.	PUNCT
ap-612	22	1	three	three	NUM
ap-612	22	2	-	-	PUNCT
ap-612	22	3	point	point	NOUN
ap-612	22	4	bending	bend	VERB
ap-612	22	5	specimens	specimen	NOUN
ap-612	22	6	are	be	AUX
ap-612	22	7	analysed	analyse	VERB
ap-612	22	8	numerically	numerically	ADV
ap-612	22	9	by	by	ADP
ap-612	22	10	means	mean	NOUN
ap-612	22	11	of	of	ADP
ap-612	22	12	the	the	DET
ap-612	22	13	finite	finite	ADJ
ap-612	22	14	element	element	NOUN
ap-612	22	15	method	method	NOUN
ap-612	22	16	,	,	PUNCT
ap-612	22	17	and	and	CCONJ
ap-612	22	18	a	a	DET
ap-612	22	19	distinction	distinction	NOUN
ap-612	22	20	is	be	AUX
ap-612	22	21	made	make	VERB
ap-612	22	22	between	between	ADP
ap-612	22	23	three	three	NUM
ap-612	22	24	types	type	NOUN
ap-612	22	25	of	of	ADP
ap-612	22	26	beams	beam	NOUN
ap-612	22	27	:	:	PUNCT
ap-612	22	28	unnotched	unnotched	ADJ
ap-612	22	29	beams	beam	NOUN
ap-612	22	30	,	,	PUNCT
ap-612	22	31	notched	notch	VERB
ap-612	22	32	beams	beam	NOUN
ap-612	22	33	where	where	SCONJ
ap-612	22	34	the	the	DET
ap-612	22	35	notch	notch	ADJ
ap-612	22	36	dimensions	dimension	NOUN
ap-612	22	37	do	do	AUX
ap-612	22	38	not	not	PART
ap-612	22	39	scale	scale	VERB
ap-612	22	40	with	with	ADP
ap-612	22	41	the	the	DET
ap-612	22	42	specimen	speciman	NOUN
ap-612	22	43	size	size	NOUN
ap-612	22	44	(	(	PUNCT
ap-612	22	45	referred	refer	VERB
ap-612	22	46	to	to	ADP
ap-612	22	47	as	as	ADP
ap-612	22	48	“	"	PUNCT
ap-612	22	49	constant	constant	ADJ
ap-612	22	50	notch	notch	NOUN
ap-612	22	51	”	"	PUNCT
ap-612	22	52	)	)	PUNCT
ap-612	22	53	and	and	CCONJ
ap-612	22	54	notched	notch	VERB
ap-612	22	55	beams	beam	NOUN
ap-612	22	56	where	where	SCONJ
ap-612	22	57	the	the	DET
ap-612	22	58	notch	notch	ADJ
ap-612	22	59	dimensions	dimension	NOUN
ap-612	22	60	scale	scale	NOUN
ap-612	22	61	proportionally	proportionally	ADV
ap-612	22	62	with	with	ADP
ap-612	22	63	the	the	DET
ap-612	22	64	other	other	ADJ
ap-612	22	65	dimensions	dimension	NOUN
ap-612	22	66	of	of	ADP
ap-612	22	67	the	the	DET
ap-612	22	68	specimen	speciman	NOUN
ap-612	22	69	(	(	PUNCT
ap-612	22	70	referred	refer	VERB
ap-612	22	71	to	to	ADP
ap-612	22	72	as	as	ADP
ap-612	22	73	“	"	PUNCT
ap-612	22	74	proportional	proportional	ADJ
ap-612	22	75	notch	notch	NOUN
ap-612	22	76	”	"	PUNCT
ap-612	22	77	)	)	PUNCT
ap-612	22	78	.	.	PUNCT
ap-612	23	1	whereas	whereas	SCONJ
ap-612	23	2	the	the	DET
ap-612	23	3	cases	case	NOUN
ap-612	23	4	of	of	ADP
ap-612	23	5	unnotched	unnotched	ADJ
ap-612	23	6	beams	beam	NOUN
ap-612	23	7	and	and	CCONJ
ap-612	23	8	beams	beam	NOUN
ap-612	23	9	with	with	ADP
ap-612	23	10	a	a	DET
ap-612	23	11	proportional	proportional	ADJ
ap-612	23	12	notch	notch	NOUN
ap-612	23	13	have	have	AUX
ap-612	23	14	been	be	AUX
ap-612	23	15	covered	cover	VERB
ap-612	23	16	extensively	extensively	ADV
ap-612	23	17	in	in	ADP
ap-612	23	18	the	the	DET
ap-612	23	19	literature	literature	NOUN
ap-612	23	20	and	and	CCONJ
ap-612	23	21	used	use	VERB
ap-612	23	22	as	as	ADP
ap-612	23	23	validation	validation	NOUN
ap-612	23	24	for	for	ADP
ap-612	23	25	the	the	DET
ap-612	23	26	above	above	ADV
ap-612	23	27	-	-	PUNCT
ap-612	23	28	mentioned	mention	VERB
ap-612	23	29	size	size	NOUN
ap-612	23	30	effect	effect	NOUN
ap-612	23	31	models	model	NOUN
ap-612	23	32	,	,	PUNCT
ap-612	23	33	beams	beam	NOUN
ap-612	23	34	with	with	ADP
ap-612	23	35	a	a	DET
ap-612	23	36	constant	constant	ADJ
ap-612	23	37	notch	notch	NOUN
ap-612	23	38	may	may	AUX
ap-612	23	39	be	be	AUX
ap-612	23	40	more	more	ADV
ap-612	23	41	relevant	relevant	ADJ
ap-612	23	42	for	for	ADP
ap-612	23	43	engineering	engineering	NOUN
ap-612	23	44	practice	practice	NOUN
ap-612	23	45	:	:	PUNCT
ap-612	23	46	when	when	SCONJ
ap-612	23	47	notches	notch	NOUN
ap-612	23	48	are	be	AUX
ap-612	23	49	supposed	suppose	VERB
ap-612	23	50	to	to	PART
ap-612	23	51	represent	represent	VERB
ap-612	23	52	defects	defect	NOUN
ap-612	23	53	in	in	ADP
ap-612	23	54	the	the	DET
ap-612	23	55	material	material	NOUN
ap-612	23	56	,	,	PUNCT
ap-612	23	57	the	the	DET
ap-612	23	58	notch	notch	ADJ
ap-612	23	59	dimensions	dimension	NOUN
ap-612	23	60	are	be	AUX
ap-612	23	61	set	set	VERB
ap-612	23	62	by	by	ADP
ap-612	23	63	the	the	DET
ap-612	23	64	material	material	NOUN
ap-612	23	65	length	length	NOUN
ap-612	23	66	scale	scale	NOUN
ap-612	23	67	and	and	CCONJ
ap-612	23	68	not	not	PART
ap-612	23	69	by	by	ADP
ap-612	23	70	the	the	DET
ap-612	23	71	structural	structural	ADJ
ap-612	23	72	length	length	NOUN
ap-612	23	73	scale	scale	NOUN
ap-612	23	74	.	.	PUNCT
ap-612	24	1	2	2	NUM
ap-612	24	2	constitutive	constitutive	ADJ
ap-612	24	3	relationships	relationship	NOUN
ap-612	24	4	common	common	ADJ
ap-612	24	5	to	to	ADP
ap-612	24	6	the	the	DET
ap-612	24	7	two	two	NUM
ap-612	24	8	classes	class	NOUN
ap-612	24	9	of	of	ADP
ap-612	24	10	regularised	regularise	VERB
ap-612	24	11	constitutive	constitutive	ADJ
ap-612	24	12	models	model	NOUN
ap-612	24	13	considered	consider	VERB
ap-612	24	14	in	in	ADP
ap-612	24	15	this	this	DET
ap-612	24	16	contribution	contribution	NOUN
ap-612	24	17	is	be	AUX
ap-612	24	18	the	the	DET
ap-612	24	19	use	use	NOUN
ap-612	24	20	of	of	ADP
ap-612	24	21	the	the	DET
ap-612	24	22	damage	damage	NOUN
ap-612	24	23	framework	framework	NOUN
ap-612	24	24	to	to	PART
ap-612	24	25	represent	represent	VERB
ap-612	24	26	void	void	ADJ
ap-612	24	27	development	development	NOUN
ap-612	24	28	.	.	PUNCT
ap-612	25	1	the	the	DET
ap-612	25	2	stress	stress	NOUN
ap-612	25	3	-	-	PUNCT
ap-612	25	4	strain	strain	NOUN
ap-612	25	5	relation	relation	NOUN
ap-612	25	6	is	be	AUX
ap-612	25	7	written	write	VERB
ap-612	25	8	as	as	ADP
ap-612	25	9	�	�	PROPN
ap-612	25	10	�	�	PROPN
ap-612	25	11	�	�	PROPN
ap-612	25	12	�	�	PROPN
ap-612	25	13	(	(	PUNCT
ap-612	25	14	)	)	PUNCT
ap-612	25	15	1	1	NUM
ap-612	25	16	�	�	PROPN
ap-612	25	17	c	c	PROPN
ap-612	25	18	(	(	PUNCT
ap-612	25	19	1	1	NUM
ap-612	25	20	)	)	PUNCT
ap-612	25	21	where	where	SCONJ
ap-612	25	22	�	�	PROPN
ap-612	25	23	and	and	CCONJ
ap-612	25	24	�	�	PROPN
ap-612	25	25	contain	contain	VERB
ap-612	25	26	the	the	DET
ap-612	25	27	components	component	NOUN
ap-612	25	28	of	of	ADP
ap-612	25	29	stresses	stress	NOUN
ap-612	25	30	and	and	CCONJ
ap-612	25	31	strains	strain	NOUN
ap-612	25	32	,	,	PUNCT
ap-612	25	33	c	c	PROPN
ap-612	25	34	contains	contain	VERB
ap-612	25	35	the	the	DET
ap-612	25	36	elastic	elastic	ADJ
ap-612	25	37	moduli	modulus	NOUN
ap-612	25	38	and	and	CCONJ
ap-612	25	39	�	�	PROPN
ap-612	25	40	is	be	AUX
ap-612	25	41	a	a	DET
ap-612	25	42	scalar	scalar	ADJ
ap-612	25	43	damage	damage	NOUN
ap-612	25	44	variable	variable	NOUN
ap-612	25	45	.	.	PUNCT
ap-612	26	1	to	to	PART
ap-612	26	2	avoid	avoid	VERB
ap-612	26	3	mesh	mesh	NOUN
ap-612	26	4	dependence	dependence	NOUN
ap-612	26	5	,	,	PUNCT
ap-612	26	6	damage	damage	NOUN
ap-612	26	7	evolution	evolution	NOUN
ap-612	26	8	must	must	AUX
ap-612	26	9	be	be	AUX
ap-612	26	10	postulated	postulate	VERB
ap-612	26	11	as	as	ADP
ap-612	26	12	some	some	DET
ap-612	26	13	function	function	NOUN
ap-612	26	14	of	of	ADP
ap-612	26	15	a	a	DET
ap-612	26	16	regularised	regularise	VERB
ap-612	26	17	monotonically	monotonically	ADV
ap-612	26	18	increasing	increase	VERB
ap-612	26	19	deformation	deformation	NOUN
ap-612	26	20	history	history	NOUN
ap-612	26	21	invariant	invariant	PROPN
ap-612	26	22	�	�	PROPN
ap-612	26	23	.	.	PUNCT
ap-612	27	1	for	for	ADP
ap-612	27	2	the	the	DET
ap-612	27	3	gradient	gradient	NOUN
ap-612	27	4	-	-	PUNCT
ap-612	27	5	enhanced	enhance	VERB
ap-612	27	6	continuum	continuum	ADJ
ap-612	27	7	damage	damage	NOUN
ap-612	27	8	model	model	NOUN
ap-612	27	9	,	,	PUNCT
ap-612	27	10	damage	damage	NOUN
ap-612	27	11	evolution	evolution	NOUN
ap-612	27	12	is	be	AUX
ap-612	27	13	made	make	VERB
ap-612	27	14	a	a	DET
ap-612	27	15	function	function	NOUN
ap-612	27	16	of	of	ADP
ap-612	27	17	the	the	DET
ap-612	27	18	nonlocal	nonlocal	ADJ
ap-612	27	19	equivalent	equivalent	ADJ
ap-612	27	20	strain	strain	NOUN
ap-612	27	21	,	,	PUNCT
ap-612	27	22	while	while	SCONJ
ap-612	27	23	in	in	ADP
ap-612	27	24	the	the	DET
ap-612	27	25	rate	rate	NOUN
ap-612	27	26	-	-	PUNCT
ap-612	27	27	dependent	dependent	ADJ
ap-612	27	28	elastoplastic	elastoplastic	ADJ
ap-612	27	29	damage	damage	NOUN
ap-612	27	30	model	model	NOUN
ap-612	27	31	,	,	PUNCT
ap-612	27	32	damage	damage	NOUN
ap-612	27	33	is	be	AUX
ap-612	27	34	made	make	VERB
ap-612	27	35	a	a	DET
ap-612	27	36	function	function	NOUN
ap-612	27	37	of	of	ADP
ap-612	27	38	the	the	DET
ap-612	27	39	equivalent	equivalent	ADJ
ap-612	27	40	viscoplastic	viscoplastic	ADJ
ap-612	27	41	strain	strain	NOUN
ap-612	27	42	.	.	PUNCT
ap-612	28	1	the	the	DET
ap-612	28	2	two	two	NUM
ap-612	28	3	©	©	PROPN
ap-612	28	4	czech	czech	PROPN
ap-612	28	5	technical	technical	PROPN
ap-612	28	6	university	university	PROPN
ap-612	28	7	publishing	publishing	NOUN
ap-612	28	8	house	house	NOUN
ap-612	28	9	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-612	28	10	35	35	NUM
ap-612	28	11	acta	acta	PROPN
ap-612	28	12	polytechnica	polytechnica	PROPN
ap-612	28	13	vol	vol	NOUN
ap-612	28	14	.	.	PROPN
ap-612	29	1	44	44	NUM
ap-612	29	2	no	no	NOUN
ap-612	29	3	.	.	PUNCT
ap-612	30	1	5–6/2004	5–6/2004	NUM
ap-612	30	2	modelling	modelling	NOUN
ap-612	30	3	of	of	ADP
ap-612	30	4	size	size	NOUN
ap-612	30	5	effect	effect	NOUN
ap-612	30	6	with	with	ADP
ap-612	30	7	regularised	regularise	VERB
ap-612	30	8	continua	continua	PROPN
ap-612	30	9	h.	h.	PROPN
ap-612	30	10	askes	askes	PROPN
ap-612	30	11	,	,	PUNCT
ap-612	30	12	a.	a.	NOUN
ap-612	30	13	simone	simone	PROPN
ap-612	30	14	,	,	PUNCT
ap-612	30	15	l.	l.	PROPN
ap-612	30	16	j.	j.	PROPN
ap-612	30	17	sluys	sluys	PROPN
ap-612	30	18	a	a	DET
ap-612	30	19	nonlocal	nonlocal	ADJ
ap-612	30	20	damage	damage	NOUN
ap-612	30	21	continuum	continuum	NOUN
ap-612	30	22	and	and	CCONJ
ap-612	30	23	a	a	DET
ap-612	30	24	viscoplastic	viscoplastic	ADJ
ap-612	30	25	damage	damage	NOUN
ap-612	30	26	continuum	continuum	NOUN
ap-612	30	27	are	be	AUX
ap-612	30	28	used	use	VERB
ap-612	30	29	to	to	PART
ap-612	30	30	model	model	VERB
ap-612	30	31	size	size	NOUN
ap-612	30	32	effects	effect	NOUN
ap-612	30	33	.	.	PUNCT
ap-612	31	1	three	three	NUM
ap-612	31	2	-	-	PUNCT
ap-612	31	3	point	point	NOUN
ap-612	31	4	bending	bend	VERB
ap-612	31	5	specimens	specimen	NOUN
ap-612	31	6	are	be	AUX
ap-612	31	7	analysed	analyse	VERB
ap-612	31	8	,	,	PUNCT
ap-612	31	9	whereby	whereby	SCONJ
ap-612	31	10	a	a	DET
ap-612	31	11	distinction	distinction	NOUN
ap-612	31	12	is	be	AUX
ap-612	31	13	made	make	VERB
ap-612	31	14	between	between	ADP
ap-612	31	15	unnotched	unnotched	ADJ
ap-612	31	16	specimens	specimen	NOUN
ap-612	31	17	,	,	PUNCT
ap-612	31	18	specimens	specimen	NOUN
ap-612	31	19	with	with	ADP
ap-612	31	20	a	a	DET
ap-612	31	21	constant	constant	ADJ
ap-612	31	22	notch	notch	NOUN
ap-612	31	23	and	and	CCONJ
ap-612	31	24	specimens	specimen	NOUN
ap-612	31	25	with	with	ADP
ap-612	31	26	a	a	DET
ap-612	31	27	proportionally	proportionally	ADV
ap-612	31	28	scaled	scale	VERB
ap-612	31	29	notch	notch	NOUN
ap-612	31	30	.	.	PUNCT
ap-612	32	1	numerical	numerical	PROPN
ap-612	32	2	finite	finite	PROPN
ap-612	32	3	element	element	PROPN
ap-612	32	4	simulations	simulation	NOUN
ap-612	32	5	have	have	AUX
ap-612	32	6	been	be	AUX
ap-612	32	7	performed	perform	VERB
ap-612	32	8	for	for	ADP
ap-612	32	9	specimen	speciman	NOUN
ap-612	32	10	sizes	size	NOUN
ap-612	32	11	in	in	ADP
ap-612	32	12	a	a	DET
ap-612	32	13	range	range	NOUN
ap-612	32	14	of	of	ADP
ap-612	32	15	1:64	1:64	NUM
ap-612	32	16	.	.	PUNCT
ap-612	33	1	size	size	NOUN
ap-612	33	2	effects	effect	NOUN
ap-612	33	3	are	be	AUX
ap-612	33	4	established	establish	VERB
ap-612	33	5	in	in	ADP
ap-612	33	6	terms	term	NOUN
ap-612	33	7	of	of	ADP
ap-612	33	8	nominal	nominal	ADJ
ap-612	33	9	strength	strength	NOUN
ap-612	33	10	and	and	CCONJ
ap-612	33	11	compared	compare	VERB
ap-612	33	12	to	to	ADP
ap-612	33	13	existing	exist	VERB
ap-612	33	14	size	size	NOUN
ap-612	33	15	effect	effect	NOUN
ap-612	33	16	models	model	NOUN
ap-612	33	17	from	from	ADP
ap-612	33	18	the	the	DET
ap-612	33	19	literature	literature	NOUN
ap-612	33	20	.	.	PUNCT
ap-612	34	1	keywords	keyword	NOUN
ap-612	34	2	:	:	PUNCT
ap-612	34	3	size	size	NOUN
ap-612	34	4	effect	effect	NOUN
ap-612	34	5	,	,	PUNCT
ap-612	34	6	modelling	modelling	NOUN
ap-612	34	7	,	,	PUNCT
ap-612	34	8	statistic	statistic	ADJ
ap-612	34	9	and	and	CCONJ
ap-612	34	10	deterministic	deterministic	ADJ
ap-612	34	11	size	size	NOUN
ap-612	34	12	effect	effect	NOUN
ap-612	34	13	,	,	PUNCT
ap-612	34	14	stress	stress	NOUN
ap-612	34	15	fluctuation	fluctuation	NOUN
ap-612	34	16	.	.	PUNCT
ap-612	35	1	frameworks	framework	NOUN
ap-612	35	2	differ	differ	VERB
ap-612	35	3	significantly	significantly	ADV
ap-612	35	4	in	in	ADP
ap-612	35	5	the	the	DET
ap-612	35	6	nature	nature	NOUN
ap-612	35	7	of	of	ADP
ap-612	35	8	the	the	DET
ap-612	35	9	regularisation	regularisation	NOUN
ap-612	35	10	involved	involve	VERB
ap-612	35	11	(	(	PUNCT
ap-612	35	12	temporal	temporal	ADJ
ap-612	35	13	regularisation	regularisation	NOUN
ap-612	35	14	versus	versus	ADP
ap-612	35	15	spatial	spatial	ADJ
ap-612	35	16	regularisation	regularisation	NOUN
ap-612	35	17	)	)	PUNCT
ap-612	35	18	and	and	CCONJ
ap-612	35	19	in	in	ADP
ap-612	35	20	the	the	DET
ap-612	35	21	dissipation	dissipation	NOUN
ap-612	35	22	mechanism	mechanism	NOUN
ap-612	35	23	.	.	PUNCT
ap-612	36	1	it	it	PRON
ap-612	36	2	is	be	AUX
ap-612	36	3	noted	note	VERB
ap-612	36	4	that	that	SCONJ
ap-612	36	5	in	in	ADP
ap-612	36	6	the	the	DET
ap-612	36	7	rate	rate	NOUN
ap-612	36	8	-	-	PUNCT
ap-612	36	9	dependent	dependent	ADJ
ap-612	36	10	elastoplastic	elastoplastic	ADJ
ap-612	36	11	damage	damage	NOUN
ap-612	36	12	model	model	NOUN
ap-612	36	13	,	,	PUNCT
ap-612	36	14	damage	damage	NOUN
ap-612	36	15	is	be	AUX
ap-612	36	16	plastically	plastically	ADV
ap-612	36	17	-	-	PUNCT
ap-612	36	18	induced	induce	VERB
ap-612	36	19	.	.	PUNCT
ap-612	37	1	in	in	ADP
ap-612	37	2	the	the	DET
ap-612	37	3	gradient	gradient	NOUN
ap-612	37	4	-	-	PUNCT
ap-612	37	5	enhanced	enhance	VERB
ap-612	37	6	continuum	continuum	ADJ
ap-612	37	7	damage	damage	NOUN
ap-612	37	8	model	model	NOUN
ap-612	37	9	,	,	PUNCT
ap-612	37	10	an	an	DET
ap-612	37	11	equivalent	equivalent	ADJ
ap-612	37	12	strain	strain	NOUN
ap-612	37	13	is	be	AUX
ap-612	37	14	defined	define	VERB
ap-612	37	15	according	accord	VERB
ap-612	37	16	to	to	ADP
ap-612	37	17	the	the	DET
ap-612	37	18	modified	modified	PROPN
ap-612	37	19	von	von	PROPN
ap-612	37	20	mises	mises	PROPN
ap-612	37	21	criterion	criterion	NOUN
ap-612	37	22	as	as	ADP
ap-612	37	23	�	�	PROPN
ap-612	37	24	�	�	PROPN
ap-612	37	25	�	�	PROPN
ap-612	37	26	�	�	PROPN
ap-612	37	27	eq	eq	ADP
ap-612	37	28	�	�	PROPN
ap-612	37	29	�	�	PROPN
ap-612	37	30	�	�	PROPN
ap-612	37	31	�	�	PROPN
ap-612	37	32	�	�	PROPN
ap-612	37	33	�	�	PROPN
ap-612	37	34	�	�	PROPN
ap-612	37	35	�	�	PROPN
ap-612	38	1	k	k	PROPN
ap-612	38	2	k	k	PROPN
ap-612	39	1	i	i	PRON
ap-612	39	2	k	k	PROPN
ap-612	40	1	k	k	PROPN
ap-612	41	1	i	i	PRON
ap-612	41	2	k	k	PROPN
ap-612	41	3	j	j	PROPN
ap-612	41	4	1	1	NUM
ap-612	41	5	2	2	NUM
ap-612	41	6	1	1	NUM
ap-612	41	7	2	2	NUM
ap-612	41	8	1	1	NUM
ap-612	41	9	2	2	NUM
ap-612	41	10	1	1	NUM
ap-612	41	11	1	1	NUM
ap-612	41	12	2	2	NUM
ap-612	41	13	6	6	NUM
ap-612	41	14	1	1	NUM
ap-612	41	15	1	1	NUM
ap-612	41	16	2	2	NUM
ap-612	41	17	2	2	NUM
ap-612	41	18	1	1	NUM
ap-612	41	19	2	2	NUM
ap-612	41	20	2	2	NUM
ap-612	41	21	2	2	NUM
ap-612	41	22	(	(	PUNCT
ap-612	41	23	)	)	PUNCT
ap-612	41	24	(	(	PUNCT
ap-612	41	25	)	)	PUNCT
ap-612	41	26	(	(	PUNCT
ap-612	41	27	)	)	PUNCT
ap-612	41	28	(	(	PUNCT
ap-612	41	29	)	)	PUNCT
ap-612	41	30	,	,	PUNCT
ap-612	41	31	(	(	PUNCT
ap-612	41	32	2	2	X
ap-612	41	33	)	)	PUNCT
ap-612	41	34	where	where	SCONJ
ap-612	41	35	i1	i1	PROPN
ap-612	41	36	and	and	CCONJ
ap-612	41	37	j2	j2	PROPN
ap-612	41	38	are	be	AUX
ap-612	41	39	the	the	DET
ap-612	41	40	first	first	ADJ
ap-612	41	41	and	and	CCONJ
ap-612	41	42	second	second	ADJ
ap-612	41	43	invariant	invariant	NOUN
ap-612	41	44	of	of	ADP
ap-612	41	45	the	the	DET
ap-612	41	46	strain	strain	NOUN
ap-612	41	47	tensor	tensor	NOUN
ap-612	41	48	and	and	CCONJ
ap-612	41	49	the	the	DET
ap-612	41	50	deviatoric	deviatoric	ADJ
ap-612	41	51	strain	strain	NOUN
ap-612	41	52	tensor	tensor	NOUN
ap-612	41	53	,	,	PUNCT
ap-612	41	54	respectively	respectively	ADV
ap-612	41	55	,	,	PUNCT
ap-612	41	56	and	and	CCONJ
ap-612	41	57	k	k	PROPN
ap-612	41	58	denotes	denote	VERB
ap-612	41	59	the	the	DET
ap-612	41	60	compressive	compressive	NOUN
ap-612	41	61	-	-	PUNCT
ap-612	41	62	to	to	ADP
ap-612	41	63	-	-	PUNCT
ap-612	41	64	tensile	tensile	NOUN
ap-612	41	65	strength	strength	NOUN
ap-612	41	66	ratio	ratio	NOUN
ap-612	41	67	.	.	PUNCT
ap-612	42	1	the	the	DET
ap-612	42	2	local	local	ADJ
ap-612	42	3	equivalent	equivalent	ADJ
ap-612	42	4	strain	strain	PROPN
ap-612	42	5	�	�	PROPN
ap-612	42	6	eq	eq	NOUN
ap-612	42	7	defined	define	VERB
ap-612	42	8	in	in	ADP
ap-612	42	9	equation	equation	NOUN
ap-612	42	10	(	(	PUNCT
ap-612	42	11	2	2	X
ap-612	42	12	)	)	PUNCT
ap-612	42	13	is	be	AUX
ap-612	42	14	translated	translate	VERB
ap-612	42	15	into	into	ADP
ap-612	42	16	its	its	PRON
ap-612	42	17	nonlocal	nonlocal	ADJ
ap-612	42	18	counterpart	counterpart	NOUN
ap-612	42	19	�	�	NOUN
ap-612	42	20	eq	eq	NOUN
ap-612	42	21	via	via	ADP
ap-612	42	22	a	a	DET
ap-612	42	23	helmholtz	helmholtz	NOUN
ap-612	42	24	-	-	PUNCT
ap-612	42	25	type	type	NOUN
ap-612	42	26	relation	relation	NOUN
ap-612	42	27	as	as	ADP
ap-612	42	28	�	�	PROPN
ap-612	42	29	�	�	PROPN
ap-612	42	30	�	�	PROPN
ap-612	42	31	eq	eq	NOUN
ap-612	42	32	eq	eq	PROPN
ap-612	42	33	eq	eq	PROPN
ap-612	42	34	�	�	PROPN
ap-612	42	35	�	�	PROPN
ap-612	42	36	�	�	PROPN
ap-612	42	37	1	1	NUM
ap-612	42	38	2	2	NUM
ap-612	42	39	2	2	NUM
ap-612	42	40	2l	2l	NOUN
ap-612	42	41	,	,	PUNCT
ap-612	42	42	(	(	PUNCT
ap-612	42	43	3	3	X
ap-612	42	44	)	)	PUNCT
ap-612	42	45	where	where	SCONJ
ap-612	42	46	l	l	NOUN
ap-612	42	47	is	be	AUX
ap-612	42	48	a	a	DET
ap-612	42	49	material	material	NOUN
ap-612	42	50	length	length	NOUN
ap-612	42	51	parameter	parameter	NOUN
ap-612	42	52	that	that	PRON
ap-612	42	53	represents	represent	VERB
ap-612	42	54	the	the	DET
ap-612	42	55	underlying	underlie	VERB
ap-612	42	56	microstructure	microstructure	NOUN
ap-612	42	57	.	.	PUNCT
ap-612	43	1	equation	equation	NOUN
ap-612	43	2	(	(	PUNCT
ap-612	43	3	3	3	X
ap-612	43	4	)	)	PUNCT
ap-612	43	5	is	be	AUX
ap-612	43	6	augmented	augment	VERB
ap-612	43	7	by	by	ADP
ap-612	43	8	neumann	neumann	PROPN
ap-612	43	9	boundary	boundary	PROPN
ap-612	43	10	conditions	condition	NOUN
ap-612	43	11	throughout	throughout	ADP
ap-612	43	12	and	and	CCONJ
ap-612	43	13	solved	solve	VERB
ap-612	43	14	simultaneously	simultaneously	ADV
ap-612	43	15	with	with	ADP
ap-612	43	16	the	the	DET
ap-612	43	17	equilibrium	equilibrium	NOUN
ap-612	43	18	equations	equation	NOUN
ap-612	43	19	that	that	PRON
ap-612	43	20	involve	involve	VERB
ap-612	43	21	equation	equation	NOUN
ap-612	43	22	(	(	PUNCT
ap-612	43	23	1	1	NUM
ap-612	43	24	)	)	PUNCT
ap-612	43	25	,	,	PUNCT
ap-612	43	26	thus	thus	ADV
ap-612	43	27	leading	lead	VERB
ap-612	43	28	to	to	ADP
ap-612	43	29	a	a	DET
ap-612	43	30	coupled	couple	VERB
ap-612	43	31	system	system	NOUN
ap-612	43	32	of	of	ADP
ap-612	43	33	equations	equation	NOUN
ap-612	43	34	,	,	PUNCT
ap-612	43	35	see	see	VERB
ap-612	43	36	for	for	ADP
ap-612	43	37	instance	instance	NOUN
ap-612	43	38	[	[	X
ap-612	43	39	14	14	NUM
ap-612	43	40	]	]	PUNCT
ap-612	43	41	.	.	PUNCT
ap-612	44	1	as	as	ADP
ap-612	44	2	usual	usual	ADJ
ap-612	44	3	,	,	PUNCT
ap-612	44	4	a	a	DET
ap-612	44	5	history	history	NOUN
ap-612	44	6	variable	variable	ADJ
ap-612	44	7	�	�	PROPN
ap-612	44	8	is	be	AUX
ap-612	44	9	introduced	introduce	VERB
ap-612	44	10	as	as	ADP
ap-612	44	11	�	�	PROPN
ap-612	44	12	�	�	PROPN
ap-612	44	13	�	�	PROPN
ap-612	44	14	�	�	PROPN
ap-612	44	15	max	max	PROPN
ap-612	44	16	(	(	PUNCT
ap-612	44	17	,	,	PUNCT
ap-612	44	18	)	)	PUNCT
ap-612	44	19	i	i	PRON
ap-612	44	20	eq	eq	NOUN
ap-612	44	21	,	,	PUNCT
ap-612	44	22	(	(	PUNCT
ap-612	44	23	4	4	X
ap-612	44	24	)	)	PUNCT
ap-612	44	25	where	where	SCONJ
ap-612	44	26	�	�	NOUN
ap-612	44	27	i	i	PRON
ap-612	44	28	represents	represent	VERB
ap-612	44	29	the	the	DET
ap-612	44	30	crack	crack	NOUN
ap-612	44	31	initiation	initiation	NOUN
ap-612	44	32	strain	strain	NOUN
ap-612	44	33	.	.	PUNCT
ap-612	45	1	upon	upon	SCONJ
ap-612	45	2	loading	loading	NOUN
ap-612	45	3	,	,	PUNCT
ap-612	45	4	damage	damage	NOUN
ap-612	45	5	grows	grow	VERB
ap-612	45	6	according	accord	VERB
ap-612	45	7	to	to	ADP
ap-612	45	8	�	�	PROPN
ap-612	45	9	�	�	PROPN
ap-612	45	10	�	�	PROPN
ap-612	45	11	�	�	PROPN
ap-612	45	12	�	�	PROPN
ap-612	45	13	�	�	PROPN
ap-612	45	14	�	�	PROPN
ap-612	45	15	�	�	PROPN
ap-612	45	16	�	�	PROPN
ap-612	45	17	�	�	PROPN
ap-612	45	18	1	1	NUM
ap-612	45	19	i	i	PRON
ap-612	45	20	iexp	iexp	VERB
ap-612	45	21	(	(	PUNCT
ap-612	45	22	(	(	PUNCT
ap-612	45	23	)	)	PUNCT
ap-612	45	24	)	)	PUNCT
ap-612	45	25	if	if	SCONJ
ap-612	45	26	�	�	PROPN
ap-612	45	27	�	�	PROPN
ap-612	45	28	�	�	PROPN
ap-612	45	29	i	i	PRON
ap-612	45	30	(	(	PUNCT
ap-612	45	31	5	5	NUM
ap-612	45	32	)	)	PUNCT
ap-612	45	33	in	in	ADP
ap-612	45	34	which	which	PRON
ap-612	45	35	�	�	PROPN
ap-612	45	36	is	be	AUX
ap-612	45	37	a	a	DET
ap-612	45	38	material	material	NOUN
ap-612	45	39	parameter	parameter	NOUN
ap-612	45	40	that	that	PRON
ap-612	45	41	sets	set	VERB
ap-612	45	42	the	the	DET
ap-612	45	43	slope	slope	NOUN
ap-612	45	44	of	of	ADP
ap-612	45	45	the	the	DET
ap-612	45	46	stress	stress	NOUN
ap-612	45	47	-	-	PUNCT
ap-612	45	48	strain	strain	NOUN
ap-612	45	49	relation	relation	NOUN
ap-612	45	50	in	in	ADP
ap-612	45	51	the	the	DET
ap-612	45	52	softening	soften	VERB
ap-612	45	53	regime	regime	NOUN
ap-612	45	54	.	.	PUNCT
ap-612	46	1	the	the	DET
ap-612	46	2	differential	differential	ADJ
ap-612	46	3	format	format	NOUN
ap-612	46	4	of	of	ADP
ap-612	46	5	nonlocal	nonlocal	ADJ
ap-612	46	6	damage	damage	NOUN
ap-612	46	7	as	as	SCONJ
ap-612	46	8	described	describe	VERB
ap-612	46	9	above	above	ADV
ap-612	46	10	can	can	AUX
ap-612	46	11	equally	equally	ADV
ap-612	46	12	be	be	AUX
ap-612	46	13	written	write	VERB
ap-612	46	14	in	in	ADP
ap-612	46	15	an	an	DET
ap-612	46	16	integral	integral	ADJ
ap-612	46	17	form	form	NOUN
ap-612	46	18	,	,	PUNCT
ap-612	46	19	whereby	whereby	SCONJ
ap-612	46	20	the	the	DET
ap-612	46	21	weight	weight	NOUN
ap-612	46	22	function	function	NOUN
ap-612	46	23	takes	take	VERB
ap-612	46	24	the	the	DET
ap-612	46	25	format	format	NOUN
ap-612	46	26	of	of	ADP
ap-612	46	27	a	a	DET
ap-612	46	28	green	green	PROPN
ap-612	46	29	’s	’s	PART
ap-612	46	30	function	function	NOUN
ap-612	46	31	[	[	X
ap-612	46	32	16	16	NUM
ap-612	46	33	]	]	PUNCT
ap-612	46	34	.	.	PUNCT
ap-612	47	1	indeed	indeed	ADV
ap-612	47	2	,	,	PUNCT
ap-612	47	3	the	the	DET
ap-612	47	4	differences	difference	NOUN
ap-612	47	5	between	between	ADP
ap-612	47	6	the	the	DET
ap-612	47	7	differential	differential	ADJ
ap-612	47	8	format	format	NOUN
ap-612	47	9	and	and	CCONJ
ap-612	47	10	the	the	DET
ap-612	47	11	integral	integral	ADJ
ap-612	47	12	format	format	NOUN
ap-612	47	13	of	of	ADP
ap-612	47	14	nonlocal	nonlocal	ADJ
ap-612	47	15	damage	damage	NOUN
ap-612	47	16	are	be	AUX
ap-612	47	17	merely	merely	ADV
ap-612	47	18	quantitative	quantitative	ADJ
ap-612	47	19	[	[	X
ap-612	47	20	17	17	NUM
ap-612	47	21	,	,	PUNCT
ap-612	47	22	18	18	NUM
ap-612	47	23	,	,	PUNCT
ap-612	47	24	16	16	NUM
ap-612	47	25	]	]	PUNCT
ap-612	47	26	.	.	PUNCT
ap-612	48	1	in	in	ADP
ap-612	48	2	the	the	DET
ap-612	48	3	rate	rate	NOUN
ap-612	48	4	-	-	PUNCT
ap-612	48	5	dependent	dependent	ADJ
ap-612	48	6	elastoplastic	elastoplastic	ADJ
ap-612	48	7	damage	damage	NOUN
ap-612	48	8	model	model	NOUN
ap-612	48	9	,	,	PUNCT
ap-612	48	10	damage	damage	NOUN
ap-612	48	11	evolution	evolution	NOUN
ap-612	48	12	is	be	AUX
ap-612	48	13	postulated	postulate	VERB
ap-612	48	14	as	as	ADP
ap-612	48	15	[	[	X
ap-612	48	16	15	15	NUM
ap-612	48	17	]	]	X
ap-612	48	18	�	�	PROPN
ap-612	48	19	�	�	PROPN
ap-612	48	20	�	�	PROPN
ap-612	48	21	�	�	PROPN
ap-612	48	22	�	�	PROPN
ap-612	48	23	�	�	PROPN
ap-612	48	24	�	�	PROPN
ap-612	48	25	(	(	PUNCT
ap-612	48	26	exp	exp	NOUN
ap-612	48	27	(	(	PUNCT
ap-612	48	28	)	)	PUNCT
ap-612	48	29	)	)	PUNCT
ap-612	48	30	1	1	NUM
ap-612	48	31	(	(	PUNCT
ap-612	48	32	6	6	NUM
ap-612	48	33	)	)	PUNCT
ap-612	48	34	with	with	ADP
ap-612	48	35	�	�	PROPN
ap-612	48	36	and	and	CCONJ
ap-612	48	37	�	�	PROPN
ap-612	48	38	model	model	NOUN
ap-612	48	39	parameters	parameter	NOUN
ap-612	48	40	and	and	CCONJ
ap-612	48	41	�	�	PRON
ap-612	48	42	i	i	PRON
ap-612	48	43	the	the	DET
ap-612	48	44	threshold	threshold	NOUN
ap-612	48	45	of	of	ADP
ap-612	48	46	damage	damage	NOUN
ap-612	48	47	initiation	initiation	NOUN
ap-612	48	48	.	.	PUNCT
ap-612	49	1	the	the	DET
ap-612	49	2	viscoplastic	viscoplastic	ADJ
ap-612	49	3	strain	strain	NOUN
ap-612	49	4	rate	rate	NOUN
ap-612	49	5	is	be	AUX
ap-612	49	6	expressed	express	VERB
ap-612	49	7	,	,	PUNCT
ap-612	49	8	in	in	ADP
ap-612	49	9	presence	presence	NOUN
ap-612	49	10	of	of	ADP
ap-612	49	11	plastic	plastic	ADJ
ap-612	49	12	flow	flow	NOUN
ap-612	49	13	(	(	PUNCT
ap-612	49	14	f	f	PROPN
ap-612	49	15	�	�	PROPN
ap-612	49	16	0	0	PROPN
ap-612	49	17	,	,	PUNCT
ap-612	49	18	where	where	SCONJ
ap-612	49	19	f	f	PROPN
ap-612	49	20	is	be	AUX
ap-612	49	21	the	the	DET
ap-612	49	22	yield	yield	NOUN
ap-612	49	23	function	function	NOUN
ap-612	49	24	)	)	PUNCT
ap-612	49	25	,	,	PUNCT
ap-612	49	26	in	in	ADP
ap-612	49	27	the	the	DET
ap-612	49	28	associative	associative	ADJ
ap-612	49	29	form	form	NOUN
ap-612	49	30	[	[	X
ap-612	49	31	19	19	NUM
ap-612	49	32	]	]	PUNCT
ap-612	49	33	�	�	PROPN
ap-612	49	34	�	�	PROPN
ap-612	49	35	�	�	PROPN
ap-612	49	36	vp	vp	PROPN
ap-612	49	37	�	�	PROPN
ap-612	49	38	1	1	NUM
ap-612	49	39	�	�	PROPN
ap-612	49	40	f	f	PROPN
ap-612	49	41	,	,	PUNCT
ap-612	49	42	(	(	PUNCT
ap-612	49	43	7	7	X
ap-612	49	44	)	)	PUNCT
ap-612	49	45	where	where	SCONJ
ap-612	49	46	the	the	DET
ap-612	49	47	overstress	overstress	ADJ
ap-612	49	48	function	function	NOUN
ap-612	49	49	is	be	AUX
ap-612	49	50	given	give	VERB
ap-612	49	51	the	the	DET
ap-612	49	52	following	follow	VERB
ap-612	49	53	power	power	NOUN
ap-612	49	54	-	-	PUNCT
ap-612	49	55	law	law	NOUN
ap-612	49	56	form	form	NOUN
ap-612	49	57	:	:	PUNCT
ap-612	49	58	(	(	PUNCT
ap-612	49	59	)	)	PUNCT
ap-612	50	1	f	f	PROPN
ap-612	50	2	f	f	PROPN
ap-612	50	3	n	n	CCONJ
ap-612	50	4	�	�	PROPN
ap-612	50	5	�	�	PROPN
ap-612	50	6	�	�	PROPN
ap-612	50	7	�	�	PROPN
ap-612	50	8	0	0	NUM
ap-612	50	9	,	,	PUNCT
ap-612	50	10	(	(	PUNCT
ap-612	50	11	8)	8)	NUM
ap-612	50	12	with	with	ADP
ap-612	50	13	0	0	NUM
ap-612	50	14	the	the	DET
ap-612	50	15	initial	initial	ADJ
ap-612	50	16	yield	yield	NOUN
ap-612	50	17	stress	stress	NOUN
ap-612	50	18	and	and	CCONJ
ap-612	50	19	n	n	CCONJ
ap-612	50	20	(	(	PUNCT
ap-612	50	21	n	n	X
ap-612	50	22	�	�	PROPN
ap-612	50	23	1	1	NUM
ap-612	50	24	)	)	PUNCT
ap-612	50	25	a	a	DET
ap-612	50	26	real	real	ADJ
ap-612	50	27	number	number	NOUN
ap-612	50	28	.	.	PUNCT
ap-612	51	1	the	the	DET
ap-612	51	2	yield	yield	NOUN
ap-612	51	3	stress	stress	NOUN
ap-612	51	4	has	have	AUX
ap-612	51	5	been	be	AUX
ap-612	51	6	given	give	VERB
ap-612	51	7	an	an	DET
ap-612	51	8	exponential	exponential	ADJ
ap-612	51	9	form	form	NOUN
ap-612	51	10	according	accord	VERB
ap-612	51	11	to	to	ADP
ap-612	51	12	�	�	PROPN
ap-612	51	13	�	�	PROPN
ap-612	51	14	�	�	PROPN
ap-612	51	15	(	(	PUNCT
ap-612	51	16	)	)	PUNCT
ap-612	51	17	(	(	PUNCT
ap-612	51	18	(	(	PUNCT
ap-612	51	19	)	)	PUNCT
ap-612	51	20	exp	exp	NOUN
ap-612	51	21	(	(	PUNCT
ap-612	51	22	)	)	PUNCT
ap-612	51	23	exp	exp	NOUN
ap-612	51	24	(	(	PUNCT
ap-612	51	25	)	)	PUNCT
ap-612	51	26	)	)	PUNCT
ap-612	51	27	�	�	PROPN
ap-612	51	28	�	�	PROPN
ap-612	51	29	�	�	PROPN
ap-612	51	30	�	�	PROPN
ap-612	51	31	�	�	PROPN
ap-612	51	32	0	0	NUM
ap-612	51	33	1	1	NUM
ap-612	51	34	2a	2a	NUM
ap-612	51	35	b	b	NOUN
ap-612	51	36	a	a	DET
ap-612	51	37	b	b	PROPN
ap-612	51	38	(	(	PUNCT
ap-612	51	39	9	9	NUM
ap-612	51	40	)	)	PUNCT
ap-612	51	41	with	with	ADP
ap-612	51	42	a	a	DET
ap-612	51	43	and	and	CCONJ
ap-612	51	44	b	b	NOUN
ap-612	51	45	model	model	NOUN
ap-612	51	46	parameters	parameter	NOUN
ap-612	51	47	and	and	CCONJ
ap-612	51	48	0	0	NUM
ap-612	51	49	the	the	DET
ap-612	51	50	initial	initial	ADJ
ap-612	51	51	cohesion	cohesion	NOUN
ap-612	51	52	(	(	PUNCT
ap-612	51	53	or	or	CCONJ
ap-612	51	54	yield	yield	VERB
ap-612	51	55	stress	stress	NOUN
ap-612	51	56	)	)	PUNCT
ap-612	51	57	.	.	PUNCT
ap-612	52	1	the	the	DET
ap-612	52	2	rate	rate	NOUN
ap-612	52	3	-	-	PUNCT
ap-612	52	4	dependent	dependent	ADJ
ap-612	52	5	isotropic	isotropic	ADJ
ap-612	52	6	elastoplastic	elastoplastic	ADJ
ap-612	52	7	damage	damage	NOUN
ap-612	52	8	model	model	NOUN
ap-612	52	9	is	be	AUX
ap-612	52	10	discussed	discuss	VERB
ap-612	52	11	in	in	ADP
ap-612	52	12	detail	detail	NOUN
ap-612	52	13	in	in	ADP
ap-612	52	14	[	[	X
ap-612	52	15	15	15	NUM
ap-612	52	16	]	]	PUNCT
ap-612	52	17	where	where	SCONJ
ap-612	52	18	the	the	DET
ap-612	52	19	algorithmic	algorithmic	ADJ
ap-612	52	20	treatment	treatment	NOUN
ap-612	52	21	is	be	AUX
ap-612	52	22	presented	present	VERB
ap-612	52	23	and	and	CCONJ
ap-612	52	24	the	the	DET
ap-612	52	25	regularisation	regularisation	NOUN
ap-612	52	26	properties	property	NOUN
ap-612	52	27	are	be	AUX
ap-612	52	28	illustrated	illustrate	VERB
ap-612	52	29	.	.	PUNCT
ap-612	53	1	details	detail	NOUN
ap-612	53	2	of	of	ADP
ap-612	53	3	the	the	DET
ap-612	53	4	implicit	implicit	ADJ
ap-612	53	5	gradient	gradient	NOUN
ap-612	53	6	-	-	PUNCT
ap-612	53	7	enhanced	enhance	VERB
ap-612	53	8	continuum	continuum	ADJ
ap-612	53	9	damage	damage	NOUN
ap-612	53	10	model	model	NOUN
ap-612	53	11	are	be	AUX
ap-612	53	12	discussed	discuss	VERB
ap-612	53	13	in	in	ADP
ap-612	53	14	[	[	X
ap-612	53	15	14	14	NUM
ap-612	53	16	]	]	SYM
ap-612	53	17	.	.	PUNCT
ap-612	54	1	3	3	NUM
ap-612	54	2	description	description	NOUN
ap-612	54	3	of	of	ADP
ap-612	54	4	numerical	numerical	ADJ
ap-612	54	5	simulations	simulation	NOUN
ap-612	54	6	for	for	ADP
ap-612	54	7	the	the	DET
ap-612	54	8	size	size	NOUN
ap-612	54	9	effect	effect	NOUN
ap-612	54	10	analysis	analysis	NOUN
ap-612	54	11	three	three	NUM
ap-612	54	12	-	-	PUNCT
ap-612	54	13	point	point	NOUN
ap-612	54	14	bending	bend	VERB
ap-612	54	15	tests	test	NOUN
ap-612	54	16	are	be	AUX
ap-612	54	17	simulated	simulate	VERB
ap-612	54	18	.	.	PUNCT
ap-612	55	1	fig	fig	NOUN
ap-612	55	2	.	.	PUNCT
ap-612	56	1	1	1	NUM
ap-612	56	2	shows	show	VERB
ap-612	56	3	the	the	DET
ap-612	56	4	three	three	NUM
ap-612	56	5	sets	set	NOUN
ap-612	56	6	of	of	ADP
ap-612	56	7	geometries	geometry	NOUN
ap-612	56	8	that	that	PRON
ap-612	56	9	are	be	AUX
ap-612	56	10	studied	study	VERB
ap-612	56	11	,	,	PUNCT
ap-612	56	12	namely	namely	ADV
ap-612	56	13	�	�	PROPN
ap-612	56	14	unnotched	unnotched	ADJ
ap-612	56	15	beams	beam	NOUN
ap-612	56	16	:	:	PUNCT
ap-612	56	17	the	the	DET
ap-612	56	18	dimensions	dimension	NOUN
ap-612	56	19	of	of	ADP
ap-612	56	20	the	the	DET
ap-612	56	21	beam	beam	NOUN
ap-612	56	22	are	be	AUX
ap-612	56	23	simply	simply	ADV
ap-612	56	24	taking	take	VERB
ap-612	56	25	as	as	ADP
ap-612	56	26	span	span	NOUN
ap-612	56	27	×	×	PROPN
ap-612	56	28	height	height	NOUN
ap-612	56	29	�	�	PROPN
ap-612	56	30	4d×d	4d×d	PROPN
ap-612	56	31	and	and	CCONJ
ap-612	56	32	no	no	DET
ap-612	56	33	notch	notch	NOUN
ap-612	56	34	is	be	AUX
ap-612	56	35	present	present	ADJ
ap-612	56	36	.	.	PUNCT
ap-612	57	1	�	�	NOUN
ap-612	57	2	beams	beam	NOUN
ap-612	57	3	with	with	ADP
ap-612	57	4	a	a	DET
ap-612	57	5	constant	constant	ADJ
ap-612	57	6	notch	notch	NOUN
ap-612	57	7	:	:	PUNCT
ap-612	57	8	the	the	DET
ap-612	57	9	outer	outer	ADJ
ap-612	57	10	dimensions	dimension	NOUN
ap-612	57	11	of	of	ADP
ap-612	57	12	the	the	DET
ap-612	57	13	beam	beam	NOUN
ap-612	57	14	are	be	AUX
ap-612	57	15	the	the	DET
ap-612	57	16	same	same	ADJ
ap-612	57	17	as	as	ADP
ap-612	57	18	for	for	ADP
ap-612	57	19	the	the	DET
ap-612	57	20	unnotched	unnotched	ADJ
ap-612	57	21	case	case	NOUN
ap-612	57	22	,	,	PUNCT
ap-612	57	23	but	but	CCONJ
ap-612	57	24	a	a	DET
ap-612	57	25	wedge	wedge	NOUN
ap-612	57	26	-	-	PUNCT
ap-612	57	27	shaped	shape	VERB
ap-612	57	28	notch	notch	NOUN
ap-612	57	29	is	be	AUX
ap-612	57	30	assumed	assume	VERB
ap-612	57	31	with	with	ADP
ap-612	57	32	dimensions	dimension	NOUN
ap-612	57	33	base	base	NOUN
ap-612	57	34	×	×	PROPN
ap-612	57	35	height	height	NOUN
ap-612	57	36	�	�	PROPN
ap-612	57	37	0.5	0.5	NUM
ap-612	57	38	mm×0.5	mm×0.5	PROPN
ap-612	57	39	mm	mm	PROPN
ap-612	57	40	.	.	PUNCT
ap-612	58	1	the	the	DET
ap-612	58	2	dimensions	dimension	NOUN
ap-612	58	3	of	of	ADP
ap-612	58	4	the	the	DET
ap-612	58	5	notch	notch	NOUN
ap-612	58	6	do	do	AUX
ap-612	58	7	not	not	PART
ap-612	58	8	scale	scale	VERB
ap-612	58	9	with	with	ADP
ap-612	58	10	the	the	DET
ap-612	58	11	dimensions	dimension	NOUN
ap-612	58	12	of	of	ADP
ap-612	58	13	the	the	DET
ap-612	58	14	beam	beam	NOUN
ap-612	58	15	.	.	PUNCT
ap-612	59	1	36	36	NUM
ap-612	59	2	©	©	PROPN
ap-612	59	3	czech	czech	PROPN
ap-612	59	4	technical	technical	PROPN
ap-612	59	5	university	university	PROPN
ap-612	59	6	publishing	publishing	NOUN
ap-612	59	7	house	house	NOUN
ap-612	59	8	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-612	59	9	acta	acta	PROPN
ap-612	59	10	polytechnica	polytechnica	PROPN
ap-612	59	11	vol	vol	NOUN
ap-612	59	12	.	.	PROPN
ap-612	60	1	44	44	NUM
ap-612	60	2	no	no	NOUN
ap-612	60	3	.	.	PUNCT
ap-612	61	1	5–6/2004	5–6/2004	NUM
ap-612	61	2	fig	fig	NOUN
ap-612	61	3	.	.	PUNCT
ap-612	62	1	1	1	NUM
ap-612	62	2	:	:	PUNCT
ap-612	62	3	geometries	geometry	NOUN
ap-612	62	4	of	of	ADP
ap-612	62	5	three	three	NUM
ap-612	62	6	-	-	PUNCT
ap-612	62	7	point	point	NOUN
ap-612	62	8	bending	bend	VERB
ap-612	62	9	specimens	specimen	NOUN
ap-612	62	10	:	:	PUNCT
ap-612	62	11	unnotched	unnotched	ADJ
ap-612	62	12	beam	beam	NOUN
ap-612	62	13	(	(	PUNCT
ap-612	62	14	top	top	NOUN
ap-612	62	15	)	)	PUNCT
ap-612	62	16	,	,	PUNCT
ap-612	62	17	beam	beam	NOUN
ap-612	62	18	with	with	ADP
ap-612	62	19	constant	constant	ADJ
ap-612	62	20	notch	notch	NOUN
ap-612	62	21	(	(	PUNCT
ap-612	62	22	middle	middle	ADJ
ap-612	62	23	)	)	PUNCT
ap-612	62	24	and	and	CCONJ
ap-612	62	25	beam	beam	NOUN
ap-612	62	26	with	with	ADP
ap-612	62	27	proportional	proportional	ADJ
ap-612	62	28	notch	notch	NOUN
ap-612	62	29	(	(	PUNCT
ap-612	62	30	bottom	bottom	ADJ
ap-612	62	31	)	)	PUNCT
ap-612	62	32	�	�	PROPN
ap-612	62	33	beams	beam	NOUN
ap-612	62	34	with	with	ADP
ap-612	62	35	a	a	DET
ap-612	62	36	proportional	proportional	ADJ
ap-612	62	37	notch	notch	NOUN
ap-612	62	38	:	:	PUNCT
ap-612	62	39	again	again	ADV
ap-612	62	40	,	,	PUNCT
ap-612	62	41	the	the	DET
ap-612	62	42	outer	outer	ADJ
ap-612	62	43	dimensions	dimension	NOUN
ap-612	62	44	of	of	ADP
ap-612	62	45	the	the	DET
ap-612	62	46	beam	beam	NOUN
ap-612	62	47	are	be	AUX
ap-612	62	48	taken	take	VERB
ap-612	62	49	similar	similar	ADJ
ap-612	62	50	to	to	ADP
ap-612	62	51	the	the	DET
ap-612	62	52	unnotched	unnotched	ADJ
ap-612	62	53	case	case	NOUN
ap-612	62	54	.	.	PUNCT
ap-612	63	1	wedge	wedge	NOUN
ap-612	63	2	-	-	PUNCT
ap-612	63	3	shaped	shape	VERB
ap-612	63	4	notches	notch	NOUN
ap-612	63	5	are	be	AUX
ap-612	63	6	assumed	assume	VERB
ap-612	63	7	that	that	SCONJ
ap-612	63	8	scale	scale	NOUN
ap-612	63	9	proportionally	proportionally	ADV
ap-612	63	10	with	with	ADP
ap-612	63	11	the	the	DET
ap-612	63	12	beam	beam	NOUN
ap-612	63	13	dimensions	dimension	NOUN
ap-612	63	14	:	:	PUNCT
ap-612	63	15	for	for	ADP
ap-612	63	16	the	the	DET
ap-612	63	17	notch	notch	NOUN
ap-612	63	18	we	we	PRON
ap-612	63	19	take	take	VERB
ap-612	63	20	base	base	NOUN
ap-612	63	21	×	×	PROPN
ap-612	63	22	height	height	NOUN
ap-612	63	23	�	�	PROPN
ap-612	63	24	0.25d×0.25d	0.25d×0.25d	PROPN
ap-612	63	25	.	.	PUNCT
ap-612	64	1	for	for	ADP
ap-612	64	2	all	all	DET
ap-612	64	3	three	three	NUM
ap-612	64	4	cases	case	NOUN
ap-612	64	5	we	we	PRON
ap-612	64	6	study	study	VERB
ap-612	64	7	size	size	NOUN
ap-612	64	8	ranges	range	NOUN
ap-612	64	9	of	of	ADP
ap-612	64	10	d	d	PROPN
ap-612	64	11	�	�	PROPN
ap-612	64	12	1	1	NUM
ap-612	64	13	mm	mm	NOUN
ap-612	64	14	up	up	ADP
ap-612	64	15	to	to	ADP
ap-612	64	16	d	d	PROPN
ap-612	64	17	�	�	PROPN
ap-612	64	18	64	64	NUM
ap-612	64	19	mm	mm	NOUN
ap-612	64	20	.	.	PUNCT
ap-612	65	1	the	the	DET
ap-612	65	2	constant	constant	ADJ
ap-612	65	3	notch	notch	NOUN
ap-612	65	4	case	case	NOUN
ap-612	65	5	and	and	CCONJ
ap-612	65	6	the	the	DET
ap-612	65	7	proportional	proportional	ADJ
ap-612	65	8	notch	notch	NOUN
ap-612	65	9	case	case	NOUN
ap-612	65	10	coincide	coincide	NOUN
ap-612	65	11	for	for	ADP
ap-612	65	12	d	d	PROPN
ap-612	65	13	�	�	PROPN
ap-612	65	14	2	2	NUM
ap-612	65	15	mm	mm	NOUN
ap-612	65	16	.	.	PUNCT
ap-612	66	1	the	the	DET
ap-612	66	2	elastic	elastic	ADJ
ap-612	66	3	constants	constant	NOUN
ap-612	66	4	used	use	VERB
ap-612	66	5	in	in	ADP
ap-612	66	6	the	the	DET
ap-612	66	7	nonlocal	nonlocal	ADJ
ap-612	66	8	damage	damage	NOUN
ap-612	66	9	continuum	continuum	NOUN
ap-612	66	10	are	be	AUX
ap-612	66	11	e	e	X
ap-612	66	12	�	�	PROPN
ap-612	66	13	30000	30000	NUM
ap-612	66	14	mpa	mpa	PROPN
ap-612	66	15	and	and	CCONJ
ap-612	66	16	�	�	PROPN
ap-612	66	17	�	�	PROPN
ap-612	66	18	0.15	0.15	NUM
ap-612	66	19	while	while	SCONJ
ap-612	66	20	plane	plane	NOUN
ap-612	66	21	strain	strain	NOUN
ap-612	66	22	conditions	condition	NOUN
ap-612	66	23	are	be	AUX
ap-612	66	24	assumed	assume	VERB
ap-612	66	25	.	.	PUNCT
ap-612	67	1	for	for	ADP
ap-612	67	2	the	the	DET
ap-612	67	3	damage	damage	NOUN
ap-612	67	4	evolution	evolution	NOUN
ap-612	67	5	we	we	PRON
ap-612	67	6	use	use	VERB
ap-612	67	7	�	�	PROPN
ap-612	67	8	i	i	PRON
ap-612	67	9	�	�	NOUN
ap-612	67	10	0.0001	0.0001	NUM
ap-612	67	11	and	and	CCONJ
ap-612	67	12	�	�	PROPN
ap-612	67	13	�	�	PROPN
ap-612	67	14	500;	500;	NUM
ap-612	67	15	the	the	DET
ap-612	67	16	compressive	compressive	NOUN
ap-612	67	17	-	-	PUNCT
ap-612	67	18	to	to	ADP
ap-612	67	19	-	-	PUNCT
ap-612	67	20	tensile	tensile	NOUN
ap-612	67	21	strength	strength	NOUN
ap-612	67	22	ratio	ratio	NOUN
ap-612	67	23	is	be	AUX
ap-612	67	24	taken	take	VERB
ap-612	67	25	as	as	ADP
ap-612	67	26	k	k	PROPN
ap-612	67	27	�	�	PROPN
ap-612	67	28	10	10	NUM
ap-612	67	29	.	.	PUNCT
ap-612	68	1	the	the	DET
ap-612	68	2	material	material	NOUN
ap-612	68	3	length	length	NOUN
ap-612	68	4	scale	scale	NOUN
ap-612	68	5	in	in	ADP
ap-612	68	6	all	all	DET
ap-612	68	7	analyses	analysis	NOUN
ap-612	68	8	equals	equal	VERB
ap-612	68	9	l	l	PROPN
ap-612	68	10	�	�	PROPN
ap-612	68	11	1	1	NUM
ap-612	68	12	mm	mm	NOUN
ap-612	68	13	.	.	PUNCT
ap-612	69	1	this	this	PRON
ap-612	69	2	implies	imply	VERB
ap-612	69	3	that	that	SCONJ
ap-612	69	4	for	for	ADP
ap-612	69	5	the	the	DET
ap-612	69	6	smallest	small	ADJ
ap-612	69	7	specimens	specimen	NOUN
ap-612	69	8	(	(	PUNCT
ap-612	69	9	d	d	PROPN
ap-612	69	10	�	�	PROPN
ap-612	69	11	1	1	NUM
ap-612	69	12	mm	mm	NOUN
ap-612	69	13	)	)	PUNCT
ap-612	69	14	the	the	DET
ap-612	69	15	structural	structural	ADJ
ap-612	69	16	dimensions	dimension	NOUN
ap-612	69	17	and	and	CCONJ
ap-612	69	18	the	the	DET
ap-612	69	19	material	material	NOUN
ap-612	69	20	length	length	NOUN
ap-612	69	21	are	be	AUX
ap-612	69	22	in	in	ADP
ap-612	69	23	the	the	DET
ap-612	69	24	same	same	ADJ
ap-612	69	25	order	order	NOUN
ap-612	69	26	of	of	ADP
ap-612	69	27	magnitude	magnitude	NOUN
ap-612	69	28	,	,	PUNCT
ap-612	69	29	whereas	whereas	SCONJ
ap-612	69	30	for	for	ADP
ap-612	69	31	the	the	DET
ap-612	69	32	largest	large	ADJ
ap-612	69	33	specimens	specimen	NOUN
ap-612	69	34	(	(	PUNCT
ap-612	69	35	d	d	PROPN
ap-612	69	36	�	�	PROPN
ap-612	69	37	64	64	NUM
ap-612	69	38	mm	mm	NOUN
ap-612	69	39	)	)	PUNCT
ap-612	69	40	the	the	DET
ap-612	69	41	material	material	NOUN
ap-612	69	42	length	length	NOUN
ap-612	69	43	scale	scale	NOUN
ap-612	69	44	is	be	AUX
ap-612	69	45	negligibly	negligibly	ADV
ap-612	69	46	small	small	ADJ
ap-612	69	47	compared	compare	VERB
ap-612	69	48	to	to	ADP
ap-612	69	49	the	the	DET
ap-612	69	50	structural	structural	ADJ
ap-612	69	51	dimensions	dimension	NOUN
ap-612	69	52	.	.	PUNCT
ap-612	70	1	in	in	ADP
ap-612	70	2	the	the	DET
ap-612	70	3	viscoplastic	viscoplastic	ADJ
ap-612	70	4	damage	damage	NOUN
ap-612	70	5	continuum	continuum	NOUN
ap-612	70	6	we	we	PRON
ap-612	70	7	have	have	AUX
ap-612	70	8	used	use	VERB
ap-612	70	9	the	the	DET
ap-612	70	10	same	same	ADJ
ap-612	70	11	elastic	elastic	ADJ
ap-612	70	12	constants	constant	NOUN
ap-612	70	13	of	of	ADP
ap-612	70	14	the	the	DET
ap-612	70	15	nonlocal	nonlocal	ADJ
ap-612	70	16	damage	damage	NOUN
ap-612	70	17	continuum	continuum	NOUN
ap-612	70	18	and	and	CCONJ
ap-612	70	19	a	a	DET
ap-612	70	20	plane	plane	NOUN
ap-612	70	21	stress	stress	NOUN
ap-612	70	22	smoothed	smooth	VERB
ap-612	70	23	rankine	rankine	PROPN
ap-612	70	24	yield	yield	NOUN
ap-612	70	25	function	function	NOUN
ap-612	70	26	with	with	ADP
ap-612	70	27	0	0	NUM
ap-612	70	28	2	2	NUM
ap-612	70	29	�	�	PROPN
ap-612	70	30	�	�	PROPN
ap-612	70	31	ft	ft	NOUN
ap-612	70	32	mpa	mpa	PROPN
ap-612	70	33	and	and	CCONJ
ap-612	70	34	with	with	ADP
ap-612	70	35	softening	soften	VERB
ap-612	70	36	parameters	parameter	NOUN
ap-612	70	37	a	a	DET
ap-612	70	38	�	�	PROPN
ap-612	70	39	�	�	PROPN
ap-612	70	40	1	1	NUM
ap-612	70	41	,	,	PUNCT
ap-612	70	42	b	b	PROPN
ap-612	70	43	�	�	PROPN
ap-612	70	44	200	200	NUM
ap-612	70	45	,	,	PUNCT
ap-612	70	46	�	�	PROPN
ap-612	70	47	�	�	PROPN
ap-612	70	48	0.999	0.999	NUM
ap-612	70	49	and	and	CCONJ
ap-612	70	50	�	�	PROPN
ap-612	70	51	�	�	PROPN
ap-612	70	52	5000	5000	NUM
ap-612	70	53	.	.	PUNCT
ap-612	71	1	the	the	DET
ap-612	71	2	exponent	exponent	NOUN
ap-612	71	3	of	of	ADP
ap-612	71	4	the	the	DET
ap-612	71	5	overstress	overstress	ADJ
ap-612	71	6	function	function	NOUN
ap-612	71	7	is	be	AUX
ap-612	71	8	n	n	PRON
ap-612	71	9	�	�	PROPN
ap-612	71	10	1	1	NUM
ap-612	71	11	and	and	CCONJ
ap-612	71	12	the	the	DET
ap-612	71	13	relaxation	relaxation	NOUN
ap-612	71	14	time	time	NOUN
ap-612	71	15	is	be	AUX
ap-612	71	16	�	�	PROPN
ap-612	71	17	�	�	PROPN
ap-612	71	18	10	10	NUM
ap-612	71	19	s.	s.	PROPN
ap-612	71	20	for	for	ADP
ap-612	71	21	the	the	DET
ap-612	71	22	numerical	numerical	ADJ
ap-612	71	23	analyses	analysis	NOUN
ap-612	71	24	we	we	PRON
ap-612	71	25	have	have	AUX
ap-612	71	26	used	use	VERB
ap-612	71	27	finite	finite	ADJ
ap-612	71	28	element	element	NOUN
ap-612	71	29	meshes	mesh	NOUN
ap-612	71	30	consisting	consist	VERB
ap-612	71	31	of	of	ADP
ap-612	71	32	three	three	NUM
ap-612	71	33	-	-	PUNCT
ap-612	71	34	node	node	ADJ
ap-612	71	35	triangles	triangle	NOUN
ap-612	71	36	with	with	ADP
ap-612	71	37	linear	linear	ADJ
ap-612	71	38	shape	shape	NOUN
ap-612	71	39	functions	function	NOUN
ap-612	71	40	for	for	ADP
ap-612	71	41	the	the	DET
ap-612	71	42	displacements	displacement	NOUN
ap-612	71	43	as	as	ADV
ap-612	71	44	well	well	ADV
ap-612	71	45	as	as	ADP
ap-612	71	46	for	for	ADP
ap-612	71	47	the	the	DET
ap-612	71	48	nonlocal	nonlocal	ADJ
ap-612	71	49	equivalent	equivalent	ADJ
ap-612	71	50	strain	strain	NOUN
ap-612	72	1	[	[	X
ap-612	72	2	20	20	NUM
ap-612	72	3	]	]	PUNCT
ap-612	72	4	.	.	PUNCT
ap-612	73	1	the	the	DET
ap-612	73	2	mesh	mesh	NOUN
ap-612	73	3	density	density	NOUN
ap-612	73	4	is	be	AUX
ap-612	73	5	determined	determine	VERB
ap-612	73	6	by	by	ADP
ap-612	73	7	two	two	NUM
ap-612	73	8	factors	factor	NOUN
ap-612	73	9	:	:	PUNCT
ap-612	73	10	in	in	ADP
ap-612	73	11	the	the	DET
ap-612	73	12	central	central	ADJ
ap-612	73	13	section	section	NOUN
ap-612	73	14	of	of	ADP
ap-612	73	15	the	the	DET
ap-612	73	16	beams	beam	NOUN
ap-612	73	17	,	,	PUNCT
ap-612	73	18	a	a	DET
ap-612	73	19	sufficiently	sufficiently	ADV
ap-612	73	20	fine	fine	ADJ
ap-612	73	21	mesh	mesh	NOUN
ap-612	73	22	must	must	AUX
ap-612	73	23	be	be	AUX
ap-612	73	24	used	use	VERB
ap-612	73	25	to	to	PART
ap-612	73	26	capture	capture	VERB
ap-612	73	27	damage	damage	NOUN
ap-612	73	28	initiation	initiation	NOUN
ap-612	73	29	and	and	CCONJ
ap-612	73	30	damage	damage	NOUN
ap-612	73	31	propagation	propagation	NOUN
ap-612	73	32	accurately;	accurately;	NOUN
ap-612	73	33	moreover	moreover	ADV
ap-612	73	34	,	,	PUNCT
ap-612	73	35	a	a	DET
ap-612	73	36	sufficient	sufficient	ADJ
ap-612	73	37	number	number	NOUN
ap-612	73	38	of	of	ADP
ap-612	73	39	elements	element	NOUN
ap-612	73	40	over	over	ADP
ap-612	73	41	the	the	DET
ap-612	73	42	beam	beam	NOUN
ap-612	73	43	height	height	NOUN
ap-612	73	44	must	must	AUX
ap-612	73	45	be	be	AUX
ap-612	73	46	used	use	VERB
ap-612	73	47	to	to	PART
ap-612	73	48	describe	describe	VERB
ap-612	73	49	the	the	DET
ap-612	73	50	bending	bend	VERB
ap-612	73	51	behaviour	behaviour	NOUN
ap-612	73	52	without	without	ADP
ap-612	73	53	locking	locking	NOUN
ap-612	73	54	effects	effect	NOUN
ap-612	73	55	.	.	PUNCT
ap-612	74	1	representative	representative	ADJ
ap-612	74	2	element	element	NOUN
ap-612	74	3	sizes	size	NOUN
ap-612	74	4	of	of	ADP
ap-612	74	5	0.25	0.25	NUM
ap-612	74	6	mm	mm	NOUN
ap-612	74	7	have	have	AUX
ap-612	74	8	been	be	AUX
ap-612	74	9	employed	employ	VERB
ap-612	74	10	in	in	ADP
ap-612	74	11	the	the	DET
ap-612	74	12	centre	centre	NOUN
ap-612	74	13	of	of	ADP
ap-612	74	14	the	the	DET
ap-612	74	15	beams	beam	NOUN
ap-612	74	16	,	,	PUNCT
ap-612	74	17	while	while	SCONJ
ap-612	74	18	it	it	PRON
ap-612	74	19	has	have	AUX
ap-612	74	20	been	be	AUX
ap-612	74	21	ensured	ensure	VERB
ap-612	74	22	that	that	SCONJ
ap-612	74	23	at	at	ADV
ap-612	74	24	least	least	ADV
ap-612	74	25	5	5	NUM
ap-612	74	26	elements	element	NOUN
ap-612	74	27	over	over	ADP
ap-612	74	28	the	the	DET
ap-612	74	29	beam	beam	NOUN
ap-612	74	30	height	height	NOUN
ap-612	74	31	are	be	AUX
ap-612	74	32	present	present	ADJ
ap-612	74	33	.	.	PUNCT
ap-612	75	1	4	4	NUM
ap-612	75	2	results	result	NOUN
ap-612	75	3	size	size	NOUN
ap-612	75	4	effects	effect	NOUN
ap-612	75	5	are	be	AUX
ap-612	75	6	investigated	investigate	VERB
ap-612	75	7	in	in	ADP
ap-612	75	8	terms	term	NOUN
ap-612	75	9	of	of	ADP
ap-612	75	10	nominal	nominal	ADJ
ap-612	75	11	strength	strength	NOUN
ap-612	75	12	,	,	PUNCT
ap-612	75	13	denoted	denote	VERB
ap-612	75	14	as	as	ADP
ap-612	75	15	,	,	PUNCT
ap-612	75	16	which	which	PRON
ap-612	75	17	is	be	AUX
ap-612	75	18	defined	define	VERB
ap-612	75	19	as	as	ADP
ap-612	75	20	peak	peak	NOUN
ap-612	75	21	load	load	NOUN
ap-612	75	22	divided	divide	VERB
ap-612	75	23	by	by	ADP
ap-612	75	24	d×1	d×1	PROPN
ap-612	75	25	mm2	mm2	PROPN
ap-612	75	26	.	.	PUNCT
ap-612	76	1	in	in	ADP
ap-612	76	2	figs	fig	NOUN
ap-612	76	3	.	.	PUNCT
ap-612	77	1	2	2	NUM
ap-612	77	2	and	and	CCONJ
ap-612	77	3	3	3	NUM
ap-612	77	4	the	the	DET
ap-612	77	5	nominal	nominal	ADJ
ap-612	77	6	strength	strength	NOUN
ap-612	77	7	is	be	AUX
ap-612	77	8	plotted	plot	VERB
ap-612	77	9	as	as	ADP
ap-612	77	10	a	a	DET
ap-612	77	11	function	function	NOUN
ap-612	77	12	of	of	ADP
ap-612	77	13	the	the	DET
ap-612	77	14	structural	structural	ADJ
ap-612	77	15	dimension	dimension	NOUN
ap-612	77	16	d	d	NOUN
ap-612	77	17	in	in	ADP
ap-612	77	18	the	the	DET
ap-612	77	19	usual	usual	ADJ
ap-612	77	20	logarithmic	logarithmic	ADJ
ap-612	77	21	scale	scale	NOUN
ap-612	77	22	.	.	PUNCT
ap-612	78	1	it	it	PRON
ap-612	78	2	can	can	AUX
ap-612	78	3	be	be	AUX
ap-612	78	4	seen	see	VERB
ap-612	78	5	that	that	SCONJ
ap-612	78	6	for	for	ADP
ap-612	78	7	both	both	DET
ap-612	78	8	regularised	regularise	VERB
ap-612	78	9	continuum	continuum	ADJ
ap-612	78	10	formulations	formulation	NOUN
ap-612	78	11	and	and	CCONJ
ap-612	78	12	for	for	ADP
ap-612	78	13	all	all	DET
ap-612	78	14	three	three	NUM
ap-612	78	15	geometries	geometry	NOUN
ap-612	78	16	a	a	DET
ap-612	78	17	size	size	NOUN
ap-612	78	18	effect	effect	NOUN
ap-612	78	19	in	in	ADP
ap-612	78	20	nominal	nominal	ADJ
ap-612	78	21	strength	strength	NOUN
ap-612	78	22	is	be	AUX
ap-612	78	23	obtained	obtain	VERB
ap-612	78	24	.	.	PUNCT
ap-612	79	1	furthermore	furthermore	ADV
ap-612	79	2	,	,	PUNCT
ap-612	79	3	this	this	DET
ap-612	79	4	size	size	NOUN
ap-612	79	5	effect	effect	NOUN
ap-612	79	6	persists	persist	VERB
ap-612	79	7	in	in	ADP
ap-612	79	8	the	the	DET
ap-612	79	9	whole	whole	ADJ
ap-612	79	10	size	size	NOUN
ap-612	79	11	range	range	NOUN
ap-612	79	12	.	.	PUNCT
ap-612	80	1	for	for	ADP
ap-612	80	2	larger	large	ADJ
ap-612	80	3	specimen	speciman	NOUN
ap-612	80	4	sizes	size	NOUN
ap-612	80	5	,	,	PUNCT
ap-612	80	6	the	the	DET
ap-612	80	7	unnotched	unnotched	ADJ
ap-612	80	8	specimens	specimen	NOUN
ap-612	80	9	and	and	CCONJ
ap-612	80	10	the	the	DET
ap-612	80	11	specimens	specimen	NOUN
ap-612	80	12	with	with	ADP
ap-612	80	13	a	a	DET
ap-612	80	14	constant	constant	ADJ
ap-612	80	15	(	(	PUNCT
ap-612	80	16	non	non	ADJ
ap-612	80	17	-	-	ADJ
ap-612	80	18	proportional	proportional	ADJ
ap-612	80	19	)	)	PUNCT
ap-612	80	20	notch	notch	NOUN
ap-612	80	21	behave	behave	VERB
ap-612	80	22	similarly	similarly	ADV
ap-612	80	23	in	in	ADP
ap-612	80	24	that	that	SCONJ
ap-612	80	25	the	the	DET
ap-612	80	26	same	same	ADJ
ap-612	80	27	slope	slope	NOUN
ap-612	80	28	is	be	AUX
ap-612	80	29	obtained	obtain	VERB
ap-612	80	30	in	in	ADP
ap-612	80	31	the	the	DET
ap-612	80	32	size	size	NOUN
ap-612	80	33	effect	effect	NOUN
ap-612	80	34	curves	curve	NOUN
ap-612	80	35	.	.	PUNCT
ap-612	81	1	however	however	ADV
ap-612	81	2	,	,	PUNCT
ap-612	81	3	the	the	DET
ap-612	81	4	presence	presence	NOUN
ap-612	81	5	of	of	ADP
ap-612	81	6	a	a	DET
ap-612	81	7	notch	notch	NOUN
ap-612	81	8	lowers	lower	VERB
ap-612	81	9	the	the	DET
ap-612	81	10	nominal	nominal	ADJ
ap-612	81	11	strength	strength	NOUN
ap-612	81	12	,	,	PUNCT
ap-612	81	13	even	even	ADV
ap-612	81	14	if	if	SCONJ
ap-612	81	15	the	the	DET
ap-612	81	16	notch	notch	ADJ
ap-612	81	17	dimensions	dimension	NOUN
ap-612	81	18	are	be	AUX
ap-612	81	19	negligible	negligible	ADJ
ap-612	81	20	compared	compare	VERB
ap-612	81	21	to	to	ADP
ap-612	81	22	the	the	DET
ap-612	81	23	structural	structural	ADJ
ap-612	81	24	dimensions	dimension	NOUN
ap-612	81	25	.	.	PUNCT
ap-612	82	1	the	the	DET
ap-612	82	2	beams	beam	NOUN
ap-612	82	3	with	with	ADP
ap-612	82	4	a	a	DET
ap-612	82	5	proportionally	proportionally	ADV
ap-612	82	6	scaled	scale	VERB
ap-612	82	7	notch	notch	NOUN
ap-612	82	8	behave	behave	VERB
ap-612	82	9	significantly	significantly	ADV
ap-612	82	10	different	different	ADJ
ap-612	82	11	from	from	ADP
ap-612	82	12	the	the	DET
ap-612	82	13	other	other	ADJ
ap-612	82	14	two	two	NUM
ap-612	82	15	test	test	NOUN
ap-612	82	16	series	series	NOUN
ap-612	82	17	:	:	PUNCT
ap-612	82	18	a	a	DET
ap-612	82	19	steeper	steep	ADJ
ap-612	82	20	(	(	PUNCT
ap-612	82	21	i.e.	i.e.	X
ap-612	82	22	more	more	ADV
ap-612	82	23	negative	negative	ADJ
ap-612	82	24	)	)	PUNCT
ap-612	82	25	slope	slope	NOUN
ap-612	82	26	in	in	ADP
ap-612	82	27	the	the	DET
ap-612	82	28	size	size	NOUN
ap-612	82	29	effect	effect	NOUN
ap-612	82	30	diagrams	diagram	NOUN
ap-612	82	31	is	be	AUX
ap-612	82	32	obtained	obtain	VERB
ap-612	82	33	.	.	PUNCT
ap-612	83	1	the	the	DET
ap-612	83	2	two	two	NUM
ap-612	83	3	regularised	regularise	VERB
ap-612	83	4	continua	continuum	NOUN
ap-612	83	5	follow	follow	VERB
ap-612	83	6	the	the	DET
ap-612	83	7	same	same	ADJ
ap-612	83	8	trends	trend	NOUN
ap-612	83	9	,	,	PUNCT
ap-612	83	10	apart	apart	ADV
ap-612	83	11	from	from	ADP
ap-612	83	12	the	the	DET
ap-612	83	13	extreme	extreme	ADJ
ap-612	83	14	sensitivity	sensitivity	NOUN
ap-612	83	15	of	of	ADP
ap-612	83	16	the	the	DET
ap-612	83	17	constant	constant	ADJ
ap-612	83	18	notch	notch	NOUN
ap-612	83	19	beam	beam	NOUN
ap-612	83	20	with	with	ADP
ap-612	83	21	small	small	ADJ
ap-612	83	22	dimensions	dimension	NOUN
ap-612	83	23	.	.	PUNCT
ap-612	84	1	in	in	ADP
ap-612	84	2	the	the	DET
ap-612	84	3	nonlocal	nonlocal	ADJ
ap-612	84	4	damage	damage	NOUN
ap-612	84	5	formulation	formulation	NOUN
ap-612	84	6	the	the	DET
ap-612	84	7	constant	constant	ADJ
ap-612	84	8	notch	notch	NOUN
ap-612	84	9	case	case	NOUN
ap-612	84	10	does	do	AUX
ap-612	84	11	not	not	PART
ap-612	84	12	differ	differ	VERB
ap-612	84	13	very	very	ADV
ap-612	84	14	much	much	ADV
ap-612	84	15	from	from	ADP
ap-612	84	16	the	the	DET
ap-612	84	17	other	other	ADJ
ap-612	84	18	two	two	NUM
ap-612	84	19	cases	case	NOUN
ap-612	84	20	for	for	ADP
ap-612	84	21	small	small	ADJ
ap-612	84	22	specimen	speciman	NOUN
ap-612	84	23	sizes	size	NOUN
ap-612	84	24	,	,	PUNCT
ap-612	84	25	whereas	whereas	SCONJ
ap-612	84	26	in	in	ADP
ap-612	84	27	the	the	DET
ap-612	84	28	viscoplastic	viscoplastic	ADJ
ap-612	84	29	damage	damage	NOUN
ap-612	84	30	formulation	formulation	NOUN
ap-612	84	31	a	a	DET
ap-612	84	32	more	more	ADV
ap-612	84	33	significant	significant	ADJ
ap-612	84	34	difference	difference	NOUN
ap-612	84	35	exists	exist	VERB
ap-612	84	36	.	.	PUNCT
ap-612	85	1	the	the	DET
ap-612	85	2	small	small	ADJ
ap-612	85	3	size	size	NOUN
ap-612	85	4	range	range	NOUN
ap-612	85	5	implies	imply	VERB
ap-612	85	6	that	that	SCONJ
ap-612	85	7	the	the	DET
ap-612	85	8	notch	notch	ADJ
ap-612	85	9	dimension	dimension	NOUN
ap-612	85	10	is	be	AUX
ap-612	85	11	in	in	ADP
ap-612	85	12	the	the	DET
ap-612	85	13	same	same	ADJ
ap-612	85	14	order	order	NOUN
ap-612	85	15	of	of	ADP
ap-612	85	16	magnitude	magnitude	NOUN
ap-612	85	17	as	as	ADP
ap-612	85	18	the	the	DET
ap-612	85	19	material	material	NOUN
ap-612	85	20	length	length	NOUN
ap-612	85	21	scale	scale	NOUN
ap-612	85	22	.	.	PUNCT
ap-612	86	1	as	as	SCONJ
ap-612	86	2	is	be	AUX
ap-612	86	3	argued	argue	VERB
ap-612	86	4	in	in	ADP
ap-612	86	5	[	[	X
ap-612	86	6	21	21	NUM
ap-612	86	7	]	]	PUNCT
ap-612	86	8	,	,	PUNCT
ap-612	86	9	the	the	DET
ap-612	86	10	imperfection	imperfection	NOUN
ap-612	86	11	(	(	PUNCT
ap-612	86	12	here	here	ADV
ap-612	86	13	:	:	PUNCT
ap-612	86	14	notch	notch	ADJ
ap-612	86	15	)	)	PUNCT
ap-612	86	16	dominates	dominate	VERB
ap-612	86	17	the	the	DET
ap-612	86	18	response	response	NOUN
ap-612	86	19	in	in	ADP
ap-612	86	20	a	a	DET
ap-612	86	21	viscosity	viscosity	NOUN
ap-612	86	22	-	-	PUNCT
ap-612	86	23	enhanced	enhance	VERB
ap-612	86	24	continuum	continuum	ADJ
ap-612	86	25	when	when	SCONJ
ap-612	86	26	the	the	DET
ap-612	86	27	material	material	NOUN
ap-612	86	28	length	length	NOUN
ap-612	86	29	scale	scale	NOUN
ap-612	86	30	and	and	CCONJ
ap-612	86	31	the	the	DET
ap-612	86	32	notch	notch	ADJ
ap-612	86	33	dimensions	dimension	NOUN
ap-612	86	34	are	be	AUX
ap-612	86	35	in	in	ADP
ap-612	86	36	the	the	DET
ap-612	86	37	same	same	ADJ
ap-612	86	38	order	order	NOUN
ap-612	86	39	of	of	ADP
ap-612	86	40	magnitude	magnitude	NOUN
ap-612	86	41	,	,	PUNCT
ap-612	86	42	while	while	SCONJ
ap-612	86	43	a	a	DET
ap-612	86	44	nonlocal	nonlocal	ADJ
ap-612	86	45	continuum	continuum	NOUN
ap-612	86	46	is	be	AUX
ap-612	86	47	much	much	ADV
ap-612	86	48	less	less	ADV
ap-612	86	49	sensitive	sensitive	ADJ
ap-612	86	50	to	to	ADP
ap-612	86	51	notch	notch	NOUN
ap-612	86	52	dimensions	dimension	NOUN
ap-612	86	53	.	.	PUNCT
ap-612	87	1	for	for	ADP
ap-612	87	2	theoretical	theoretical	ADJ
ap-612	87	3	predictions	prediction	NOUN
ap-612	87	4	it	it	PRON
ap-612	87	5	is	be	AUX
ap-612	87	6	relevant	relevant	ADJ
ap-612	87	7	to	to	PART
ap-612	87	8	validate	validate	VERB
ap-612	87	9	the	the	DET
ap-612	87	10	obtained	obtain	VERB
ap-612	87	11	numerical	numerical	ADJ
ap-612	87	12	results	result	NOUN
ap-612	87	13	with	with	ADP
ap-612	87	14	the	the	DET
ap-612	87	15	proposed	propose	VERB
ap-612	87	16	size	size	NOUN
ap-612	87	17	effect	effect	NOUN
ap-612	87	18	models	model	NOUN
ap-612	87	19	of	of	ADP
ap-612	87	20	the	the	DET
ap-612	87	21	literature	literature	NOUN
ap-612	87	22	.	.	PUNCT
ap-612	88	1	to	to	ADP
ap-612	88	2	this	this	DET
ap-612	88	3	end	end	NOUN
ap-612	88	4	,	,	PUNCT
ap-612	88	5	we	we	PRON
ap-612	88	6	have	have	AUX
ap-612	88	7	fitted	fit	VERB
ap-612	88	8	the	the	DET
ap-612	88	9	numerical	numerical	ADJ
ap-612	88	10	results	result	NOUN
ap-612	88	11	of	of	ADP
ap-612	88	12	the	the	DET
ap-612	88	13	unnotched	unnotched	ADJ
ap-612	88	14	beams	beam	NOUN
ap-612	88	15	with	with	ADP
ap-612	88	16	the	the	DET
ap-612	88	17	multi	multi	ADJ
ap-612	88	18	-	-	ADJ
ap-612	88	19	fractal	fractal	ADJ
ap-612	88	20	scaling	scale	VERB
ap-612	88	21	law	law	NOUN
ap-612	88	22	and	and	CCONJ
ap-612	88	23	the	the	DET
ap-612	88	24	numerical	numerical	ADJ
ap-612	88	25	results	result	NOUN
ap-612	88	26	of	of	ADP
ap-612	88	27	the	the	DET
ap-612	88	28	proportion	proportion	NOUN
ap-612	88	29	©	©	PROPN
ap-612	88	30	czech	czech	PROPN
ap-612	88	31	technical	technical	PROPN
ap-612	88	32	university	university	PROPN
ap-612	88	33	publishing	publishing	NOUN
ap-612	88	34	house	house	NOUN
ap-612	88	35	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-612	88	36	37	37	NUM
ap-612	88	37	acta	acta	PROPN
ap-612	88	38	polytechnica	polytechnica	PROPN
ap-612	88	39	vol	vol	NOUN
ap-612	88	40	.	.	PROPN
ap-612	89	1	44	44	NUM
ap-612	90	1	no	no	NOUN
ap-612	90	2	.	.	PUNCT
ap-612	91	1	5–6/2004	5–6/2004	NUM
ap-612	91	2	fig	fig	NOUN
ap-612	91	3	.	.	PUNCT
ap-612	92	1	2	2	NUM
ap-612	92	2	:	:	PUNCT
ap-612	92	3	nonlocal	nonlocal	ADJ
ap-612	92	4	damage	damage	NOUN
ap-612	92	5	:	:	PUNCT
ap-612	92	6	size	size	NOUN
ap-612	92	7	effects	effect	NOUN
ap-612	92	8	for	for	ADP
ap-612	92	9	unnotched	unnotched	ADJ
ap-612	92	10	beams	beam	NOUN
ap-612	92	11	(	(	PUNCT
ap-612	92	12	circles	circle	NOUN
ap-612	92	13	)	)	PUNCT
ap-612	92	14	,	,	PUNCT
ap-612	92	15	beams	beam	NOUN
ap-612	92	16	with	with	ADP
ap-612	92	17	constant	constant	ADJ
ap-612	92	18	notch	notch	NOUN
ap-612	92	19	(	(	PUNCT
ap-612	92	20	triangles	triangle	NOUN
ap-612	92	21	)	)	PUNCT
ap-612	92	22	and	and	CCONJ
ap-612	92	23	beams	beam	NOUN
ap-612	92	24	with	with	ADP
ap-612	92	25	proportional	proportional	ADJ
ap-612	92	26	notch	notch	NOUN
ap-612	92	27	(	(	PUNCT
ap-612	92	28	diamonds	diamond	NOUN
ap-612	92	29	)	)	PUNCT
ap-612	92	30	fig	fig	NOUN
ap-612	92	31	.	.	PUNCT
ap-612	93	1	3	3	NUM
ap-612	93	2	:	:	PUNCT
ap-612	93	3	viscoplastic	viscoplastic	ADJ
ap-612	93	4	damage	damage	NOUN
ap-612	93	5	:	:	PUNCT
ap-612	93	6	size	size	NOUN
ap-612	93	7	effects	effect	NOUN
ap-612	93	8	for	for	ADP
ap-612	93	9	unnotched	unnotched	ADJ
ap-612	93	10	beams	beam	NOUN
ap-612	93	11	(	(	PUNCT
ap-612	93	12	circles	circle	NOUN
ap-612	93	13	)	)	PUNCT
ap-612	93	14	,	,	PUNCT
ap-612	93	15	beams	beam	NOUN
ap-612	93	16	with	with	ADP
ap-612	93	17	constant	constant	ADJ
ap-612	93	18	notch	notch	NOUN
ap-612	93	19	(	(	PUNCT
ap-612	93	20	triangles	triangle	NOUN
ap-612	93	21	)	)	PUNCT
ap-612	93	22	and	and	CCONJ
ap-612	93	23	beams	beam	NOUN
ap-612	93	24	with	with	ADP
ap-612	93	25	proportional	proportional	ADJ
ap-612	93	26	notch	notch	NOUN
ap-612	93	27	(	(	PUNCT
ap-612	93	28	diamonds	diamond	NOUN
ap-612	93	29	)	)	PUNCT
ap-612	93	30	38	38	NUM
ap-612	93	31	©	©	PROPN
ap-612	93	32	czech	czech	PROPN
ap-612	93	33	technical	technical	PROPN
ap-612	93	34	university	university	PROPN
ap-612	93	35	publishing	publishing	NOUN
ap-612	93	36	house	house	NOUN
ap-612	93	37	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-612	93	38	acta	acta	PROPN
ap-612	93	39	polytechnica	polytechnica	PROPN
ap-612	93	40	vol	vol	NOUN
ap-612	93	41	.	.	PROPN
ap-612	94	1	44	44	NUM
ap-612	94	2	no	no	NOUN
ap-612	94	3	.	.	PUNCT
ap-612	95	1	5–6/2004	5–6/2004	NUM
ap-612	95	2	fig	fig	NOUN
ap-612	95	3	.	.	PUNCT
ap-612	96	1	4	4	NUM
ap-612	96	2	:	:	PUNCT
ap-612	96	3	nonlocal	nonlocal	ADJ
ap-612	96	4	damage	damage	NOUN
ap-612	96	5	:	:	PUNCT
ap-612	96	6	size	size	NOUN
ap-612	96	7	effects	effect	NOUN
ap-612	96	8	for	for	ADP
ap-612	96	9	unnotched	unnotched	ADJ
ap-612	96	10	beams	beam	NOUN
ap-612	96	11	:	:	PUNCT
ap-612	96	12	numerical	numerical	ADJ
ap-612	96	13	experiments	experiment	NOUN
ap-612	96	14	(	(	PUNCT
ap-612	96	15	solid	solid	ADJ
ap-612	96	16	with	with	ADP
ap-612	96	17	circles	circle	NOUN
ap-612	96	18	)	)	PUNCT
ap-612	96	19	versus	versus	ADP
ap-612	96	20	multi	multi	ADJ
ap-612	96	21	-	-	ADJ
ap-612	96	22	fractal	fractal	ADJ
ap-612	96	23	scaling	scale	VERB
ap-612	96	24	law	law	NOUN
ap-612	96	25	(	(	PUNCT
ap-612	96	26	dashed	dash	VERB
ap-612	96	27	)	)	PUNCT
ap-612	96	28	fig	fig	NOUN
ap-612	96	29	.	.	PUNCT
ap-612	97	1	5	5	NUM
ap-612	97	2	:	:	PUNCT
ap-612	97	3	nonlocal	nonlocal	ADJ
ap-612	97	4	damage	damage	NOUN
ap-612	97	5	:	:	PUNCT
ap-612	97	6	size	size	NOUN
ap-612	97	7	effects	effect	NOUN
ap-612	97	8	for	for	ADP
ap-612	97	9	proportionally	proportionally	ADV
ap-612	97	10	notched	notch	VERB
ap-612	97	11	beams	beam	NOUN
ap-612	97	12	:	:	PUNCT
ap-612	97	13	numerical	numerical	ADJ
ap-612	97	14	experiments	experiment	NOUN
ap-612	97	15	(	(	PUNCT
ap-612	97	16	solid	solid	ADJ
ap-612	97	17	with	with	ADP
ap-612	97	18	diamonds	diamond	NOUN
ap-612	97	19	)	)	PUNCT
ap-612	97	20	versus	versus	ADP
ap-612	97	21	size	size	NOUN
ap-612	97	22	effect	effect	NOUN
ap-612	97	23	law	law	NOUN
ap-612	97	24	(	(	PUNCT
ap-612	97	25	dashed	dash	VERB
ap-612	97	26	)	)	PUNCT
ap-612	97	27	fig	fig	NOUN
ap-612	97	28	.	.	PUNCT
ap-612	98	1	6	6	NUM
ap-612	98	2	:	:	PUNCT
ap-612	98	3	damage	damage	NOUN
ap-612	98	4	contours	contours	NOUN
ap-612	98	5	at	at	ADP
ap-612	98	6	peak	peak	NOUN
ap-612	98	7	load	load	NOUN
ap-612	98	8	in	in	ADP
ap-612	98	9	beams	beam	NOUN
ap-612	98	10	with	with	ADP
ap-612	98	11	constant	constant	ADJ
ap-612	98	12	notch	notch	NOUN
ap-612	98	13	:	:	PUNCT
ap-612	98	14	d	d	X
ap-612	98	15	�	�	PROPN
ap-612	98	16	16	16	NUM
ap-612	98	17	mm	mm	INTJ
ap-612	98	18	(	(	PUNCT
ap-612	98	19	top	top	NOUN
ap-612	98	20	)	)	PUNCT
ap-612	98	21	,	,	PUNCT
ap-612	98	22	d	d	PROPN
ap-612	98	23	�	�	PROPN
ap-612	98	24	32	32	NUM
ap-612	98	25	mm	mm	NOUN
ap-612	98	26	(	(	PUNCT
ap-612	98	27	middle	middle	NOUN
ap-612	98	28	)	)	PUNCT
ap-612	98	29	and	and	CCONJ
ap-612	98	30	d	d	PROPN
ap-612	98	31	�	�	PROPN
ap-612	98	32	64	64	NUM
ap-612	98	33	mm	mm	INTJ
ap-612	98	34	(	(	PUNCT
ap-612	98	35	bottom	bottom	NOUN
ap-612	98	36	)	)	PUNCT
ap-612	98	37	.	.	PUNCT
ap-612	99	1	deformed	deform	VERB
ap-612	99	2	configurations	configuration	NOUN
ap-612	99	3	are	be	AUX
ap-612	99	4	plotted	plot	VERB
ap-612	99	5	with	with	ADP
ap-612	99	6	magnification	magnification	NOUN
ap-612	99	7	factor	factor	NOUN
ap-612	99	8	100	100	NUM
ap-612	99	9	ally	ally	NOUN
ap-612	99	10	notched	notch	VERB
ap-612	99	11	beams	beam	NOUN
ap-612	99	12	with	with	ADP
ap-612	99	13	the	the	DET
ap-612	99	14	size	size	NOUN
ap-612	99	15	effect	effect	NOUN
ap-612	99	16	law	law	NOUN
ap-612	99	17	,	,	PUNCT
ap-612	99	18	see	see	VERB
ap-612	99	19	figs	fig	NOUN
ap-612	99	20	.	.	PUNCT
ap-612	100	1	4	4	NUM
ap-612	100	2	and	and	CCONJ
ap-612	100	3	5	5	NUM
ap-612	100	4	,	,	PUNCT
ap-612	100	5	using	use	VERB
ap-612	100	6	the	the	DET
ap-612	100	7	nonlocal	nonlocal	ADJ
ap-612	100	8	damage	damage	NOUN
ap-612	100	9	formulation	formulation	NOUN
ap-612	100	10	.	.	PUNCT
ap-612	101	1	a	a	DET
ap-612	101	2	least	least	ADJ
ap-612	101	3	-	-	PUNCT
ap-612	101	4	squares	square	NOUN
ap-612	101	5	fitting	fitting	ADJ
ap-612	101	6	procedure	procedure	NOUN
ap-612	101	7	has	have	AUX
ap-612	101	8	been	be	AUX
ap-612	101	9	used	use	VERB
ap-612	101	10	.	.	PUNCT
ap-612	102	1	with	with	ADP
ap-612	102	2	the	the	DET
ap-612	102	3	current	current	ADJ
ap-612	102	4	set	set	NOUN
ap-612	102	5	of	of	ADP
ap-612	102	6	material	material	NOUN
ap-612	102	7	and	and	CCONJ
ap-612	102	8	geometrical	geometrical	ADJ
ap-612	102	9	parameters	parameter	NOUN
ap-612	102	10	,	,	PUNCT
ap-612	102	11	the	the	DET
ap-612	102	12	size	size	NOUN
ap-612	102	13	effect	effect	NOUN
ap-612	102	14	models	model	NOUN
ap-612	102	15	quantify	quantify	ADJ
ap-612	102	16	as	as	ADP
ap-612	102	17	�	�	PROPN
ap-612	102	18	�	�	PROPN
ap-612	102	19	05482	05482	NUM
ap-612	102	20	1	1	NUM
ap-612	102	21	14	14	NUM
ap-612	102	22	7492	7492	NUM
ap-612	102	23	.	.	PUNCT
ap-612	102	24	.	.	PUNCT
ap-612	103	1	d	d	X
ap-612	103	2	(	(	PUNCT
ap-612	103	3	10	10	NUM
ap-612	103	4	)	)	PUNCT
ap-612	103	5	for	for	ADP
ap-612	103	6	the	the	DET
ap-612	103	7	multi	multi	ADJ
ap-612	103	8	-	-	ADJ
ap-612	103	9	fractal	fractal	ADJ
ap-612	103	10	scaling	scale	VERB
ap-612	103	11	law	law	NOUN
ap-612	103	12	,	,	PUNCT
ap-612	103	13	and	and	CCONJ
ap-612	103	14	�	�	PROPN
ap-612	103	15	�	�	PROPN
ap-612	103	16	1	1	NUM
ap-612	103	17	1	1	NUM
ap-612	103	18	4	4	NUM
ap-612	103	19	4640	4640	NUM
ap-612	103	20	d	d	NOUN
ap-612	103	21	.	.	PUNCT
ap-612	104	1	(	(	PUNCT
ap-612	104	2	11	11	NUM
ap-612	104	3	)	)	PUNCT
ap-612	104	4	for	for	ADP
ap-612	104	5	the	the	DET
ap-612	104	6	size	size	NOUN
ap-612	104	7	effect	effect	NOUN
ap-612	104	8	law	law	NOUN
ap-612	104	9	.	.	PUNCT
ap-612	105	1	as	as	SCONJ
ap-612	105	2	can	can	AUX
ap-612	105	3	be	be	AUX
ap-612	105	4	seen	see	VERB
ap-612	105	5	in	in	ADP
ap-612	105	6	fig	fig	NOUN
ap-612	105	7	.	.	PUNCT
ap-612	106	1	4	4	NUM
ap-612	106	2	,	,	PUNCT
ap-612	106	3	the	the	DET
ap-612	106	4	multi	multi	ADJ
ap-612	106	5	-	-	ADJ
ap-612	106	6	fractal	fractal	ADJ
ap-612	106	7	scaling	scale	VERB
ap-612	106	8	law	law	NOUN
ap-612	106	9	provides	provide	VERB
ap-612	106	10	a	a	DET
ap-612	106	11	reasonable	reasonable	ADJ
ap-612	106	12	prediction	prediction	NOUN
ap-612	106	13	of	of	ADP
ap-612	106	14	the	the	DET
ap-612	106	15	numerically	numerically	ADV
ap-612	106	16	obtained	obtain	VERB
ap-612	106	17	results	result	NOUN
ap-612	106	18	,	,	PUNCT
ap-612	106	19	although	although	SCONJ
ap-612	106	20	a	a	DET
ap-612	106	21	finite	finite	ADJ
ap-612	106	22	slope	slope	NOUN
ap-612	106	23	in	in	ADP
ap-612	106	24	the	the	DET
ap-612	106	25	size	size	NOUN
ap-612	106	26	effect	effect	NOUN
ap-612	106	27	diagram	diagram	NOUN
ap-612	106	28	is	be	AUX
ap-612	106	29	found	find	VERB
ap-612	106	30	numerically	numerically	ADV
ap-612	106	31	that	that	PRON
ap-612	106	32	can	can	AUX
ap-612	106	33	not	not	PART
ap-612	106	34	be	be	AUX
ap-612	106	35	recovered	recover	VERB
ap-612	106	36	by	by	ADP
ap-612	106	37	means	mean	NOUN
ap-612	106	38	of	of	ADP
ap-612	106	39	the	the	DET
ap-612	106	40	multi	multi	ADJ
ap-612	106	41	-	-	ADJ
ap-612	106	42	fractal	fractal	ADJ
ap-612	106	43	scaling	scale	VERB
ap-612	106	44	law	law	NOUN
ap-612	106	45	(	(	PUNCT
ap-612	106	46	which	which	PRON
ap-612	106	47	approaches	approach	VERB
ap-612	106	48	a	a	DET
ap-612	106	49	horizontal	horizontal	ADJ
ap-612	106	50	plateau	plateau	NOUN
ap-612	106	51	in	in	ADP
ap-612	106	52	the	the	DET
ap-612	106	53	large	large	ADJ
ap-612	106	54	-	-	PUNCT
ap-612	106	55	size	size	NOUN
ap-612	106	56	range	range	NOUN
ap-612	106	57	)	)	PUNCT
ap-612	106	58	.	.	PUNCT
ap-612	107	1	this	this	PRON
ap-612	107	2	can	can	AUX
ap-612	107	3	be	be	AUX
ap-612	107	4	understood	understand	VERB
ap-612	107	5	when	when	SCONJ
ap-612	107	6	studying	study	VERB
ap-612	107	7	the	the	DET
ap-612	107	8	damage	damage	NOUN
ap-612	107	9	contours	contours	NOUN
ap-612	107	10	at	at	ADP
ap-612	107	11	the	the	DET
ap-612	107	12	peak	peak	NOUN
ap-612	107	13	load	load	NOUN
ap-612	107	14	,	,	PUNCT
ap-612	107	15	for	for	ADP
ap-612	107	16	instance	instance	NOUN
ap-612	107	17	of	of	ADP
ap-612	107	18	the	the	DET
ap-612	107	19	beams	beam	NOUN
ap-612	107	20	with	with	ADP
ap-612	107	21	a	a	DET
ap-612	107	22	constant	constant	ADJ
ap-612	107	23	notch	notch	NOUN
ap-612	107	24	,	,	PUNCT
ap-612	107	25	as	as	SCONJ
ap-612	107	26	are	be	AUX
ap-612	107	27	displayed	display	VERB
ap-612	107	28	for	for	ADP
ap-612	107	29	d	d	PROPN
ap-612	107	30	�	�	PROPN
ap-612	107	31	16	16	NUM
ap-612	107	32	mm	mm	NOUN
ap-612	107	33	,	,	PUNCT
ap-612	107	34	d	d	X
ap-612	107	35	�	�	PROPN
ap-612	107	36	32	32	NUM
ap-612	107	37	mm	mm	NOUN
ap-612	107	38	and	and	CCONJ
ap-612	107	39	d	d	PROPN
ap-612	107	40	�	�	PROPN
ap-612	107	41	64	64	NUM
ap-612	107	42	mm	mm	NOUN
ap-612	107	43	in	in	ADP
ap-612	107	44	fig	fig	NOUN
ap-612	107	45	.	.	PUNCT
ap-612	108	1	6	6	NUM
ap-612	108	2	.	.	X
ap-612	108	3	a	a	DET
ap-612	108	4	horizontal	horizontal	ADJ
ap-612	108	5	slope	slope	NOUN
ap-612	108	6	in	in	ADP
ap-612	108	7	the	the	DET
ap-612	108	8	size	size	NOUN
ap-612	108	9	effect	effect	NOUN
ap-612	108	10	curve	curve	NOUN
ap-612	108	11	would	would	AUX
ap-612	108	12	imply	imply	VERB
ap-612	108	13	that	that	SCONJ
ap-612	108	14	the	the	DET
ap-612	108	15	uncracked	uncracked	ADJ
ap-612	108	16	portion	portion	NOUN
ap-612	108	17	of	of	ADP
ap-612	108	18	the	the	DET
ap-612	108	19	beam	beam	NOUN
ap-612	108	20	height	height	NOUN
ap-612	108	21	is	be	AUX
ap-612	108	22	proportional	proportional	ADJ
ap-612	108	23	to	to	ADP
ap-612	108	24	the	the	DET
ap-612	108	25	structural	structural	ADJ
ap-612	108	26	size	size	NOUN
ap-612	108	27	d	d	NOUN
ap-612	108	28	,	,	PUNCT
ap-612	108	29	thereby	thereby	ADV
ap-612	108	30	assuming	assume	VERB
ap-612	108	31	that	that	SCONJ
ap-612	108	32	the	the	DET
ap-612	108	33	same	same	ADJ
ap-612	108	34	distributions	distribution	NOUN
ap-612	108	35	of	of	ADP
ap-612	108	36	damage	damage	NOUN
ap-612	108	37	and	and	CCONJ
ap-612	108	38	stress	stress	NOUN
ap-612	108	39	will	will	AUX
ap-612	108	40	be	be	AUX
ap-612	108	41	reached	reach	VERB
ap-612	108	42	along	along	ADP
ap-612	108	43	the	the	DET
ap-612	108	44	vertical	vertical	ADJ
ap-612	108	45	symmetry	symmetry	NOUN
ap-612	108	46	axis	axis	NOUN
ap-612	108	47	.	.	PUNCT
ap-612	109	1	however	however	ADV
ap-612	109	2	,	,	PUNCT
ap-612	109	3	from	from	ADP
ap-612	109	4	fig	fig	NOUN
ap-612	109	5	.	.	PUNCT
ap-612	110	1	6	6	NUM
ap-612	110	2	it	it	PRON
ap-612	110	3	is	be	AUX
ap-612	110	4	seen	see	VERB
ap-612	110	5	that	that	SCONJ
ap-612	110	6	this	this	PRON
ap-612	110	7	is	be	AUX
ap-612	110	8	clearly	clearly	ADV
ap-612	110	9	not	not	PART
ap-612	110	10	the	the	DET
ap-612	110	11	case	case	NOUN
ap-612	110	12	if	if	SCONJ
ap-612	110	13	the	the	DET
ap-612	110	14	present	present	ADJ
ap-612	110	15	nonlocal	nonlocal	ADJ
ap-612	110	16	damage	damage	NOUN
ap-612	110	17	continuum	continuum	NOUN
ap-612	110	18	is	be	AUX
ap-612	110	19	used	use	VERB
ap-612	110	20	:	:	PUNCT
ap-612	110	21	the	the	DET
ap-612	110	22	uncracked	uncracked	ADJ
ap-612	110	23	portion	portion	NOUN
ap-612	110	24	of	of	ADP
ap-612	110	25	the	the	DET
ap-612	110	26	beam	beam	NOUN
ap-612	110	27	decreases	decrease	VERB
ap-612	110	28	as	as	ADP
ap-612	110	29	structural	structural	ADJ
ap-612	110	30	dimension	dimension	NOUN
ap-612	110	31	d	d	NOUN
ap-612	110	32	increases	increase	NOUN
ap-612	110	33	.	.	PUNCT
ap-612	111	1	more	more	ADV
ap-612	111	2	severe	severe	ADJ
ap-612	111	3	deviations	deviation	NOUN
ap-612	111	4	are	be	AUX
ap-612	111	5	found	find	VERB
ap-612	111	6	for	for	ADP
ap-612	111	7	the	the	DET
ap-612	111	8	proportionally	proportionally	ADV
ap-612	111	9	notched	notch	VERB
ap-612	111	10	beams	beam	NOUN
ap-612	111	11	,	,	PUNCT
ap-612	111	12	cf	cf	NOUN
ap-612	111	13	.	.	PUNCT
ap-612	111	14	fig	fig	NOUN
ap-612	111	15	.	.	PUNCT
ap-612	112	1	5	5	NUM
ap-612	112	2	:	:	PUNCT
ap-612	112	3	the	the	DET
ap-612	112	4	numerical	numerical	ADJ
ap-612	112	5	results	result	NOUN
ap-612	112	6	exhibit	exhibit	VERB
ap-612	112	7	a	a	DET
ap-612	112	8	convexity	convexity	NOUN
ap-612	112	9	in	in	ADP
ap-612	112	10	the	the	DET
ap-612	112	11	large	large	ADJ
ap-612	112	12	-	-	PUNCT
ap-612	112	13	size	size	NOUN
ap-612	112	14	range	range	NOUN
ap-612	112	15	where	where	SCONJ
ap-612	112	16	the	the	DET
ap-612	112	17	size	size	NOUN
ap-612	112	18	effect	effect	NOUN
ap-612	112	19	law	law	NOUN
ap-612	112	20	is	be	AUX
ap-612	112	21	strictly	strictly	ADV
ap-612	112	22	concave	concave	VERB
ap-612	112	23	.	.	PUNCT
ap-612	113	1	for	for	ADP
ap-612	113	2	the	the	DET
ap-612	113	3	large	large	ADJ
ap-612	113	4	-	-	PUNCT
ap-612	113	5	size	size	NOUN
ap-612	113	6	range	range	NOUN
ap-612	113	7	,	,	PUNCT
ap-612	113	8	the	the	DET
ap-612	113	9	size	size	NOUN
ap-612	113	10	effect	effect	NOUN
ap-612	113	11	law	law	NOUN
ap-612	113	12	predicts	predict	VERB
ap-612	113	13	a	a	DET
ap-612	113	14	slope	slope	NOUN
ap-612	113	15	of	of	ADP
ap-612	113	16	the	the	DET
ap-612	113	17	size	size	NOUN
ap-612	113	18	effect	effect	NOUN
ap-612	113	19	curve	curve	NOUN
ap-612	113	20	of	of	ADP
ap-612	113	21	1:2	1:2	NUM
ap-612	113	22	in	in	ADP
ap-612	113	23	a	a	DET
ap-612	113	24	log	log	NOUN
ap-612	113	25	-	-	PUNCT
ap-612	113	26	log	log	NOUN
ap-612	113	27	scale	scale	NOUN
ap-612	113	28	,	,	PUNCT
ap-612	113	29	while	while	SCONJ
ap-612	113	30	the	the	DET
ap-612	113	31	numerical	numerical	ADJ
ap-612	113	32	results	result	NOUN
ap-612	113	33	tend	tend	VERB
ap-612	113	34	to	to	PART
ap-612	113	35	converge	converge	VERB
ap-612	113	36	towards	towards	ADP
ap-612	113	37	a	a	DET
ap-612	113	38	much	much	ADV
ap-612	113	39	less	less	ADV
ap-612	113	40	steep	steep	ADJ
ap-612	113	41	slope	slope	NOUN
ap-612	113	42	.	.	PUNCT
ap-612	114	1	for	for	ADP
ap-612	114	2	the	the	DET
ap-612	114	3	large	large	ADJ
ap-612	114	4	-	-	PUNCT
ap-612	114	5	size	size	NOUN
ap-612	114	6	range	range	NOUN
ap-612	114	7	,	,	PUNCT
ap-612	114	8	the	the	DET
ap-612	114	9	material	material	NOUN
ap-612	114	10	model	model	NOUN
ap-612	114	11	that	that	PRON
ap-612	114	12	underlies	underlie	VERB
ap-612	114	13	the	the	DET
ap-612	114	14	size	size	NOUN
ap-612	114	15	effect	effect	NOUN
ap-612	114	16	law	law	NOUN
ap-612	114	17	is	be	AUX
ap-612	114	18	linear	linear	ADJ
ap-612	114	19	elastic	elastic	ADJ
ap-612	114	20	fracture	fracture	NOUN
ap-612	114	21	mechanics	mechanic	NOUN
ap-612	114	22	(	(	PUNCT
ap-612	114	23	lefm	lefm	PROPN
ap-612	114	24	)	)	PUNCT
ap-612	114	25	.	.	PUNCT
ap-612	115	1	compared	compare	VERB
ap-612	115	2	to	to	ADP
ap-612	115	3	lefm	lefm	PROPN
ap-612	115	4	,	,	PUNCT
ap-612	115	5	a	a	DET
ap-612	115	6	nonlocal	nonlocal	ADJ
ap-612	115	7	contin	contin	NOUN
ap-612	115	8	©	©	PROPN
ap-612	115	9	czech	czech	PROPN
ap-612	115	10	technical	technical	PROPN
ap-612	115	11	university	university	PROPN
ap-612	115	12	publishing	publishing	NOUN
ap-612	115	13	house	house	NOUN
ap-612	115	14	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-612	115	15	39	39	NUM
ap-612	115	16	acta	acta	PROPN
ap-612	115	17	polytechnica	polytechnica	PROPN
ap-612	115	18	vol	vol	NOUN
ap-612	115	19	.	.	PROPN
ap-612	116	1	44	44	NUM
ap-612	116	2	no	no	NOUN
ap-612	116	3	.	.	PUNCT
ap-612	117	1	5–6/2004	5–6/2004	NUM
ap-612	117	2	fig	fig	NOUN
ap-612	117	3	.	.	PUNCT
ap-612	118	1	7	7	NUM
ap-612	118	2	:	:	PUNCT
ap-612	118	3	damage	damage	NOUN
ap-612	118	4	contours	contours	NOUN
ap-612	118	5	at	at	ADP
ap-612	118	6	peak	peak	NOUN
ap-612	118	7	load	load	NOUN
ap-612	118	8	in	in	ADP
ap-612	118	9	beams	beam	NOUN
ap-612	118	10	with	with	ADP
ap-612	118	11	proportional	proportional	ADJ
ap-612	118	12	notch	notch	NOUN
ap-612	118	13	:	:	PUNCT
ap-612	118	14	d	d	X
ap-612	118	15	�	�	PROPN
ap-612	118	16	16	16	NUM
ap-612	118	17	mm	mm	INTJ
ap-612	118	18	(	(	PUNCT
ap-612	118	19	top	top	NOUN
ap-612	118	20	)	)	PUNCT
ap-612	118	21	,	,	PUNCT
ap-612	118	22	d	d	PROPN
ap-612	118	23	�	�	PROPN
ap-612	118	24	32	32	NUM
ap-612	118	25	mm	mm	NOUN
ap-612	118	26	(	(	PUNCT
ap-612	118	27	middle	middle	NOUN
ap-612	118	28	)	)	PUNCT
ap-612	118	29	and	and	CCONJ
ap-612	118	30	d	d	PROPN
ap-612	118	31	�	�	PROPN
ap-612	118	32	64	64	NUM
ap-612	118	33	mm	mm	INTJ
ap-612	118	34	(	(	PUNCT
ap-612	118	35	bottom	bottom	NOUN
ap-612	118	36	)	)	PUNCT
ap-612	118	37	.	.	PUNCT
ap-612	119	1	deformed	deform	VERB
ap-612	119	2	configurations	configuration	NOUN
ap-612	119	3	are	be	AUX
ap-612	119	4	plotted	plot	VERB
ap-612	119	5	with	with	ADP
ap-612	119	6	magnification	magnification	NOUN
ap-612	119	7	factor	factor	NOUN
ap-612	119	8	100	100	NUM
ap-612	119	9	uum	uum	PROPN
ap-612	119	10	has	have	VERB
ap-612	119	11	an	an	DET
ap-612	119	12	increased	increase	VERB
ap-612	119	13	nominal	nominal	ADJ
ap-612	119	14	strength	strength	NOUN
ap-612	119	15	due	due	ADP
ap-612	119	16	to	to	ADP
ap-612	119	17	the	the	DET
ap-612	119	18	material	material	NOUN
ap-612	119	19	length	length	NOUN
ap-612	119	20	scale	scale	NOUN
ap-612	119	21	,	,	PUNCT
ap-612	119	22	which	which	PRON
ap-612	119	23	is	be	AUX
ap-612	119	24	lacking	lack	VERB
ap-612	119	25	in	in	ADP
ap-612	119	26	lefm	lefm	PROPN
ap-612	119	27	.	.	PUNCT
ap-612	120	1	also	also	ADV
ap-612	120	2	,	,	PUNCT
ap-612	120	3	singularities	singularity	NOUN
ap-612	120	4	are	be	AUX
ap-612	120	5	removed	remove	VERB
ap-612	120	6	in	in	ADP
ap-612	120	7	the	the	DET
ap-612	120	8	present	present	ADJ
ap-612	120	9	nonlocal	nonlocal	ADJ
ap-612	120	10	continuum	continuum	NOUN
ap-612	120	11	[	[	X
ap-612	120	12	16	16	NUM
ap-612	120	13	,	,	PUNCT
ap-612	120	14	22	22	NUM
ap-612	120	15	]	]	PUNCT
ap-612	120	16	which	which	PRON
ap-612	120	17	leads	lead	VERB
ap-612	120	18	to	to	ADP
ap-612	120	19	an	an	DET
ap-612	120	20	increased	increase	VERB
ap-612	120	21	nominal	nominal	ADJ
ap-612	120	22	strength	strength	NOUN
ap-612	120	23	compared	compare	VERB
ap-612	120	24	to	to	ADP
ap-612	120	25	lefm	lefm	PROPN
ap-612	120	26	.	.	PUNCT
ap-612	121	1	in	in	ADP
ap-612	121	2	the	the	DET
ap-612	121	3	small	small	ADJ
ap-612	121	4	-	-	PUNCT
ap-612	121	5	size	size	NOUN
ap-612	121	6	range	range	VERB
ap-612	121	7	large	large	ADJ
ap-612	121	8	differences	difference	NOUN
ap-612	121	9	are	be	AUX
ap-612	121	10	obtained	obtain	VERB
ap-612	121	11	between	between	ADP
ap-612	121	12	the	the	DET
ap-612	121	13	numerically	numerically	ADV
ap-612	121	14	obtained	obtain	VERB
ap-612	121	15	size	size	NOUN
ap-612	121	16	effect	effect	NOUN
ap-612	121	17	and	and	CCONJ
ap-612	121	18	the	the	DET
ap-612	121	19	predictions	prediction	NOUN
ap-612	121	20	via	via	ADP
ap-612	121	21	the	the	DET
ap-612	121	22	size	size	NOUN
ap-612	121	23	effect	effect	NOUN
ap-612	121	24	law	law	NOUN
ap-612	121	25	.	.	PUNCT
ap-612	122	1	however	however	ADV
ap-612	122	2	,	,	PUNCT
ap-612	122	3	following	follow	VERB
ap-612	122	4	the	the	DET
ap-612	122	5	argumentation	argumentation	NOUN
ap-612	122	6	outlined	outline	VERB
ap-612	122	7	in	in	ADP
ap-612	122	8	the	the	DET
ap-612	122	9	introduction	introduction	NOUN
ap-612	122	10	,	,	PUNCT
ap-612	122	11	these	these	DET
ap-612	122	12	differences	difference	NOUN
ap-612	122	13	are	be	AUX
ap-612	122	14	considered	consider	VERB
ap-612	122	15	to	to	PART
ap-612	122	16	be	be	AUX
ap-612	122	17	of	of	ADP
ap-612	122	18	minor	minor	ADJ
ap-612	122	19	relevance	relevance	NOUN
ap-612	122	20	.	.	PUNCT
ap-612	123	1	in	in	ADP
ap-612	123	2	fig	fig	NOUN
ap-612	123	3	.	.	PUNCT
ap-612	124	1	7	7	NUM
ap-612	125	1	the	the	DET
ap-612	125	2	damage	damage	NOUN
ap-612	125	3	contours	contours	NOUN
ap-612	125	4	at	at	ADP
ap-612	125	5	the	the	DET
ap-612	125	6	peak	peak	NOUN
ap-612	125	7	load	load	NOUN
ap-612	125	8	are	be	AUX
ap-612	125	9	plotted	plot	VERB
ap-612	125	10	for	for	ADP
ap-612	125	11	d	d	PROPN
ap-612	125	12	�	�	PROPN
ap-612	125	13	16	16	NUM
ap-612	125	14	mm	mm	NOUN
ap-612	125	15	,	,	PUNCT
ap-612	125	16	d	d	X
ap-612	125	17	�	�	PROPN
ap-612	125	18	32	32	NUM
ap-612	125	19	mm	mm	NOUN
ap-612	125	20	and	and	CCONJ
ap-612	125	21	d	d	PROPN
ap-612	125	22	�	�	PROPN
ap-612	125	23	64	64	NUM
ap-612	125	24	mm	mm	NOUN
ap-612	125	25	.	.	PUNCT
ap-612	126	1	the	the	DET
ap-612	126	2	damaged	damage	VERB
ap-612	126	3	region	region	NOUN
ap-612	126	4	has	have	AUX
ap-612	126	5	extended	extend	VERB
ap-612	126	6	significantly	significantly	ADV
ap-612	126	7	,	,	PUNCT
ap-612	126	8	even	even	ADV
ap-612	126	9	for	for	ADP
ap-612	126	10	the	the	DET
ap-612	126	11	largest	large	ADJ
ap-612	126	12	size	size	NOUN
ap-612	126	13	,	,	PUNCT
ap-612	126	14	so	so	SCONJ
ap-612	126	15	that	that	SCONJ
ap-612	126	16	the	the	DET
ap-612	126	17	ductility	ductility	NOUN
ap-612	126	18	is	be	AUX
ap-612	126	19	significantly	significantly	ADV
ap-612	126	20	increased	increase	VERB
ap-612	126	21	.	.	PUNCT
ap-612	127	1	5	5	NUM
ap-612	127	2	closure	closure	NOUN
ap-612	127	3	size	size	NOUN
ap-612	127	4	effects	effect	NOUN
ap-612	127	5	are	be	AUX
ap-612	127	6	studied	study	VERB
ap-612	127	7	from	from	ADP
ap-612	127	8	a	a	DET
ap-612	127	9	numerical	numerical	ADJ
ap-612	127	10	point	point	NOUN
ap-612	127	11	of	of	ADP
ap-612	127	12	view	view	NOUN
ap-612	127	13	.	.	PUNCT
ap-612	128	1	a	a	DET
ap-612	128	2	nonlocal	nonlocal	ADJ
ap-612	128	3	damage	damage	NOUN
ap-612	128	4	continuum	continuum	NOUN
ap-612	128	5	of	of	ADP
ap-612	128	6	the	the	DET
ap-612	128	7	differential	differential	ADJ
ap-612	128	8	type	type	NOUN
ap-612	128	9	and	and	CCONJ
ap-612	128	10	a	a	DET
ap-612	128	11	viscoplastic	viscoplastic	ADJ
ap-612	128	12	damage	damage	NOUN
ap-612	128	13	continuum	continuum	NOUN
ap-612	128	14	have	have	AUX
ap-612	128	15	been	be	AUX
ap-612	128	16	employed	employ	VERB
ap-612	128	17	,	,	PUNCT
ap-612	128	18	both	both	PRON
ap-612	128	19	of	of	ADP
ap-612	128	20	which	which	PRON
ap-612	128	21	include	include	VERB
ap-612	128	22	a	a	DET
ap-612	128	23	material	material	NOUN
ap-612	128	24	length	length	NOUN
ap-612	128	25	scale	scale	NOUN
ap-612	128	26	.	.	PUNCT
ap-612	129	1	three	three	NUM
ap-612	129	2	-	-	PUNCT
ap-612	129	3	point	point	NOUN
ap-612	129	4	bending	bend	VERB
ap-612	129	5	tests	test	NOUN
ap-612	129	6	have	have	AUX
ap-612	129	7	been	be	AUX
ap-612	129	8	analysed	analyse	VERB
ap-612	129	9	with	with	ADP
ap-612	129	10	and	and	CCONJ
ap-612	129	11	without	without	ADP
ap-612	129	12	notches	notch	NOUN
ap-612	129	13	,	,	PUNCT
ap-612	129	14	where	where	SCONJ
ap-612	129	15	notches	notch	NOUN
ap-612	129	16	were	be	AUX
ap-612	129	17	considered	consider	VERB
ap-612	129	18	that	that	PRON
ap-612	129	19	do	do	VERB
ap-612	129	20	or	or	CCONJ
ap-612	129	21	do	do	AUX
ap-612	129	22	not	not	PART
ap-612	129	23	scale	scale	VERB
ap-612	129	24	with	with	ADP
ap-612	129	25	the	the	DET
ap-612	129	26	structural	structural	ADJ
ap-612	129	27	dimensions	dimension	NOUN
ap-612	129	28	(	(	PUNCT
ap-612	129	29	proportional	proportional	ADJ
ap-612	129	30	notches	notch	NOUN
ap-612	129	31	and	and	CCONJ
ap-612	129	32	constant	constant	ADJ
ap-612	129	33	notches	notch	NOUN
ap-612	129	34	,	,	PUNCT
ap-612	129	35	respectively	respectively	ADV
ap-612	129	36	)	)	PUNCT
ap-612	129	37	.	.	PUNCT
ap-612	130	1	the	the	DET
ap-612	130	2	size	size	NOUN
ap-612	130	3	effects	effect	NOUN
ap-612	130	4	exhibited	exhibit	VERB
ap-612	130	5	by	by	ADP
ap-612	130	6	unnotched	unnotched	ADJ
ap-612	130	7	beams	beam	NOUN
ap-612	130	8	and	and	CCONJ
ap-612	130	9	by	by	ADP
ap-612	130	10	beams	beam	NOUN
ap-612	130	11	with	with	ADP
ap-612	130	12	a	a	DET
ap-612	130	13	constant	constant	ADJ
ap-612	130	14	notch	notch	NOUN
ap-612	130	15	are	be	AUX
ap-612	130	16	virtually	virtually	ADV
ap-612	130	17	identical	identical	ADJ
ap-612	130	18	in	in	ADP
ap-612	130	19	the	the	DET
ap-612	130	20	large	large	ADJ
ap-612	130	21	-	-	PUNCT
ap-612	130	22	size	size	NOUN
ap-612	130	23	range	range	NOUN
ap-612	130	24	.	.	PUNCT
ap-612	131	1	the	the	DET
ap-612	131	2	numerically	numerically	ADV
ap-612	131	3	obtained	obtain	VERB
ap-612	131	4	results	result	NOUN
ap-612	131	5	differ	differ	VERB
ap-612	131	6	somewhat	somewhat	ADV
ap-612	131	7	from	from	ADP
ap-612	131	8	the	the	DET
ap-612	131	9	multi	multi	ADJ
ap-612	131	10	-	-	ADJ
ap-612	131	11	fractal	fractal	ADJ
ap-612	131	12	scaling	scale	VERB
ap-612	131	13	law	law	NOUN
ap-612	131	14	,	,	PUNCT
ap-612	131	15	which	which	PRON
ap-612	131	16	is	be	AUX
ap-612	131	17	due	due	ADJ
ap-612	131	18	to	to	ADP
ap-612	131	19	the	the	DET
ap-612	131	20	different	different	ADJ
ap-612	131	21	mechanics	mechanic	NOUN
ap-612	131	22	that	that	PRON
ap-612	131	23	underlies	underlie	VERB
ap-612	131	24	the	the	DET
ap-612	131	25	nonlocal	nonlocal	ADJ
ap-612	131	26	continuum	continuum	NOUN
ap-612	131	27	.	.	PUNCT
ap-612	132	1	the	the	DET
ap-612	132	2	size	size	NOUN
ap-612	132	3	effects	effect	NOUN
ap-612	132	4	shown	show	VERB
ap-612	132	5	by	by	ADP
ap-612	132	6	proportionally	proportionally	ADV
ap-612	132	7	notched	notch	VERB
ap-612	132	8	beams	beam	NOUN
ap-612	132	9	are	be	AUX
ap-612	132	10	in	in	ADP
ap-612	132	11	reasonable	reasonable	ADJ
ap-612	132	12	agreement	agreement	NOUN
ap-612	132	13	with	with	ADP
ap-612	132	14	the	the	DET
ap-612	132	15	size	size	NOUN
ap-612	132	16	effect	effect	NOUN
ap-612	132	17	law	law	NOUN
ap-612	132	18	.	.	PUNCT
ap-612	133	1	the	the	DET
ap-612	133	2	difference	difference	NOUN
ap-612	133	3	between	between	ADP
ap-612	133	4	the	the	DET
ap-612	133	5	two	two	NUM
ap-612	133	6	types	type	NOUN
ap-612	133	7	of	of	ADP
ap-612	133	8	regularisation	regularisation	NOUN
ap-612	133	9	(	(	PUNCT
ap-612	133	10	spatial	spatial	ADJ
ap-612	133	11	gradients	gradient	NOUN
ap-612	133	12	versus	versus	ADP
ap-612	133	13	viscosity	viscosity	NOUN
ap-612	133	14	)	)	PUNCT
ap-612	133	15	is	be	AUX
ap-612	133	16	negligible	negligible	ADJ
ap-612	133	17	for	for	ADP
ap-612	133	18	the	the	DET
ap-612	133	19	size	size	NOUN
ap-612	133	20	-	-	PUNCT
ap-612	133	21	effect	effect	NOUN
ap-612	133	22	predictions	prediction	NOUN
ap-612	133	23	.	.	PUNCT
ap-612	134	1	it	it	PRON
ap-612	134	2	is	be	AUX
ap-612	134	3	emphasised	emphasise	VERB
ap-612	134	4	that	that	SCONJ
ap-612	134	5	the	the	DET
ap-612	134	6	slopes	slope	NOUN
ap-612	134	7	of	of	ADP
ap-612	134	8	the	the	DET
ap-612	134	9	numerically	numerically	ADV
ap-612	134	10	obtained	obtain	VERB
ap-612	134	11	size	size	NOUN
ap-612	134	12	effects	effect	NOUN
ap-612	134	13	in	in	ADP
ap-612	134	14	the	the	DET
ap-612	134	15	usual	usual	ADJ
ap-612	134	16	log	log	NOUN
ap-612	134	17	-	-	PUNCT
ap-612	134	18	log	log	NOUN
ap-612	134	19	diagrams	diagram	NOUN
ap-612	134	20	are	be	AUX
ap-612	134	21	bounded	bound	VERB
ap-612	134	22	by	by	ADP
ap-612	134	23	the	the	DET
ap-612	134	24	multi	multi	ADJ
ap-612	134	25	-	-	ADJ
ap-612	134	26	fractal	fractal	ADJ
ap-612	134	27	scaling	scale	VERB
ap-612	134	28	law	law	NOUN
ap-612	134	29	from	from	ADP
ap-612	134	30	above	above	ADV
ap-612	134	31	and	and	CCONJ
ap-612	134	32	by	by	ADP
ap-612	134	33	the	the	DET
ap-612	134	34	size	size	NOUN
ap-612	134	35	effect	effect	NOUN
ap-612	134	36	law	law	NOUN
ap-612	134	37	from	from	ADP
ap-612	134	38	below	below	ADV
ap-612	134	39	.	.	PUNCT
ap-612	135	1	using	use	VERB
ap-612	135	2	the	the	DET
ap-612	135	3	two	two	NUM
ap-612	135	4	regularised	regularise	VERB
ap-612	135	5	continua	continuum	NOUN
ap-612	135	6	discussed	discuss	VERB
ap-612	135	7	in	in	ADP
ap-612	135	8	this	this	DET
ap-612	135	9	paper	paper	NOUN
ap-612	135	10	,	,	PUNCT
ap-612	135	11	neither	neither	CCONJ
ap-612	135	12	the	the	DET
ap-612	135	13	multi	multi	ADJ
ap-612	135	14	-	-	ADJ
ap-612	135	15	fractal	fractal	ADJ
ap-612	135	16	scaling	scale	VERB
ap-612	135	17	law	law	NOUN
ap-612	135	18	nor	nor	CCONJ
ap-612	135	19	the	the	DET
ap-612	135	20	size	size	NOUN
ap-612	135	21	effect	effect	NOUN
ap-612	135	22	law	law	NOUN
ap-612	135	23	is	be	AUX
ap-612	135	24	obtained	obtain	VERB
ap-612	135	25	in	in	ADP
ap-612	135	26	the	the	DET
ap-612	135	27	large	large	ADJ
ap-612	135	28	-	-	PUNCT
ap-612	135	29	size	size	NOUN
ap-612	135	30	range	range	NOUN
ap-612	135	31	.	.	PUNCT
ap-612	136	1	references	reference	NOUN
ap-612	136	2	[	[	X
ap-612	136	3	1	1	NUM
ap-612	136	4	]	]	X
ap-612	136	5	carpinteri	carpinteri	NOUN
ap-612	136	6	a.	a.	NOUN
ap-612	136	7	(	(	PUNCT
ap-612	136	8	editor	editor	NOUN
ap-612	136	9	):	):	PUNCT
ap-612	136	10	“	"	PUNCT
ap-612	136	11	size	size	NOUN
ap-612	136	12	-	-	PUNCT
ap-612	136	13	scale	scale	NOUN
ap-612	136	14	effects	effect	NOUN
ap-612	136	15	in	in	ADP
ap-612	136	16	the	the	DET
ap-612	136	17	failure	failure	NOUN
ap-612	136	18	mechanisms	mechanism	NOUN
ap-612	136	19	of	of	ADP
ap-612	136	20	materials	material	NOUN
ap-612	136	21	and	and	CCONJ
ap-612	136	22	structures	structure	NOUN
ap-612	136	23	.	.	PUNCT
ap-612	136	24	”	"	PUNCT
ap-612	137	1	e.	e.	PROPN
ap-612	137	2	&	&	CCONJ
ap-612	137	3	f.n	f.n	PROPN
ap-612	137	4	.	.	PROPN
ap-612	137	5	spon	spon	PROPN
ap-612	137	6	,	,	PUNCT
ap-612	137	7	london	london	PROPN
ap-612	137	8	,	,	PUNCT
ap-612	137	9	1996	1996	NUM
ap-612	137	10	.	.	PUNCT
ap-612	138	1	[	[	X
ap-612	138	2	2	2	NUM
ap-612	138	3	]	]	X
ap-612	138	4	aifantis	aifantis	PROPN
ap-612	138	5	e.c	e.c	PROPN
ap-612	138	6	.	.	PROPN
ap-612	138	7	:	:	PUNCT
ap-612	138	8	“	"	PUNCT
ap-612	138	9	strain	strain	VERB
ap-612	138	10	gradient	gradient	ADJ
ap-612	138	11	interpretation	interpretation	NOUN
ap-612	138	12	of	of	ADP
ap-612	138	13	size	size	NOUN
ap-612	138	14	effects	effect	NOUN
ap-612	138	15	.	.	PUNCT
ap-612	138	16	”	"	PUNCT
ap-612	139	1	international	international	ADJ
ap-612	139	2	journal	journal	NOUN
ap-612	139	3	of	of	ADP
ap-612	139	4	fracture	fracture	NOUN
ap-612	139	5	,	,	PUNCT
ap-612	139	6	vol	vol	NOUN
ap-612	139	7	.	.	PROPN
ap-612	139	8	95	95	NUM
ap-612	139	9	(	(	PUNCT
ap-612	139	10	1999	1999	NUM
ap-612	139	11	)	)	PUNCT
ap-612	139	12	,	,	PUNCT
ap-612	139	13	p.	p.	NOUN
ap-612	139	14	299–314	299–314	NUM
ap-612	139	15	.	.	PUNCT
ap-612	140	1	[	[	X
ap-612	140	2	3	3	X
ap-612	140	3	]	]	PUNCT
ap-612	140	4	bažant	bažant	PROPN
ap-612	140	5	z.	z.	PROPN
ap-612	140	6	p.	p.	PROPN
ap-612	140	7	:	:	PUNCT
ap-612	140	8	“	"	PUNCT
ap-612	140	9	size	size	NOUN
ap-612	140	10	effect	effect	NOUN
ap-612	140	11	.	.	PUNCT
ap-612	140	12	”	"	PUNCT
ap-612	141	1	international	international	ADJ
ap-612	141	2	journal	journal	NOUN
ap-612	141	3	of	of	ADP
ap-612	141	4	solids	solid	NOUN
ap-612	141	5	and	and	CCONJ
ap-612	141	6	structures	structure	NOUN
ap-612	141	7	,	,	PUNCT
ap-612	141	8	vol	vol	NOUN
ap-612	141	9	.	.	PROPN
ap-612	141	10	37	37	NUM
ap-612	141	11	(	(	PUNCT
ap-612	141	12	2000	2000	NUM
ap-612	141	13	)	)	PUNCT
ap-612	141	14	,	,	PUNCT
ap-612	141	15	p.	p.	NOUN
ap-612	141	16	69–80	69–80	NUM
ap-612	141	17	.	.	PUNCT
ap-612	142	1	[	[	X
ap-612	142	2	4	4	X
ap-612	142	3	]	]	X
ap-612	142	4	karihaloo	karihaloo	PROPN
ap-612	142	5	b.	b.	PROPN
ap-612	142	6	l.	l.	PROPN
ap-612	142	7	,	,	PUNCT
ap-612	142	8	xiao	xiao	PROPN
ap-612	142	9	q.	q.	PROPN
ap-612	142	10	z.	z.	PROPN
ap-612	142	11	:	:	PUNCT
ap-612	142	12	“	"	PUNCT
ap-612	142	13	size	size	NOUN
ap-612	142	14	effect	effect	NOUN
ap-612	142	15	in	in	ADP
ap-612	142	16	the	the	DET
ap-612	142	17	strength	strength	NOUN
ap-612	142	18	of	of	ADP
ap-612	142	19	concrete	concrete	ADJ
ap-612	142	20	structures	structure	NOUN
ap-612	142	21	.	.	PUNCT
ap-612	142	22	”	"	PUNCT
ap-612	143	1	sadhana	sadhana	NOUN
ap-612	143	2	,	,	PUNCT
ap-612	143	3	vol	vol	NOUN
ap-612	143	4	.	.	PROPN
ap-612	143	5	27	27	NUM
ap-612	143	6	(	(	PUNCT
ap-612	143	7	2002	2002	NUM
ap-612	143	8	)	)	PUNCT
ap-612	143	9	,	,	PUNCT
ap-612	143	10	p.	p.	NOUN
ap-612	143	11	449–459	449–459	NUM
ap-612	143	12	.	.	PUNCT
ap-612	144	1	[	[	X
ap-612	144	2	5	5	NUM
ap-612	144	3	]	]	PUNCT
ap-612	144	4	van	van	PROPN
ap-612	144	5	mier	mier	PROPN
ap-612	144	6	j.	j.	PROPN
ap-612	144	7	g.	g.	PROPN
ap-612	144	8	m.	m.	PROPN
ap-612	144	9	,	,	PUNCT
ap-612	144	10	van	van	PROPN
ap-612	144	11	vliet	vliet	PROPN
ap-612	144	12	m.	m.	PROPN
ap-612	144	13	r.	r.	PROPN
ap-612	144	14	a.	a.	PROPN
ap-612	144	15	:	:	PUNCT
ap-612	144	16	“	"	PUNCT
ap-612	144	17	influence	influence	NOUN
ap-612	144	18	of	of	ADP
ap-612	144	19	microstructure	microstructure	NOUN
ap-612	144	20	of	of	ADP
ap-612	144	21	concrete	concrete	NOUN
ap-612	144	22	on	on	ADP
ap-612	144	23	size	size	NOUN
ap-612	144	24	/	/	SYM
ap-612	144	25	scale	scale	NOUN
ap-612	144	26	effects	effect	NOUN
ap-612	144	27	in	in	ADP
ap-612	144	28	tensile	tensile	NOUN
ap-612	144	29	fracture	fracture	NOUN
ap-612	144	30	.	.	PUNCT
ap-612	144	31	”	"	PUNCT
ap-612	145	1	engineering	engineering	NOUN
ap-612	145	2	fracture	fracture	NOUN
ap-612	145	3	mechanics	mechanic	NOUN
ap-612	145	4	,	,	PUNCT
ap-612	145	5	vol	vol	NOUN
ap-612	145	6	.	.	PROPN
ap-612	145	7	70	70	NUM
ap-612	145	8	(	(	PUNCT
ap-612	145	9	2003	2003	NUM
ap-612	145	10	)	)	PUNCT
ap-612	146	1	p.	p.	NOUN
ap-612	146	2	2281–2306	2281–2306	NUM
ap-612	146	3	.	.	PUNCT
ap-612	147	1	[	[	X
ap-612	147	2	6	6	NUM
ap-612	147	3	]	]	SYM
ap-612	147	4	fleck	fleck	NOUN
ap-612	147	5	n.	n.	PROPN
ap-612	147	6	a.	a.	PROPN
ap-612	147	7	,	,	PUNCT
ap-612	147	8	muller	muller	PROPN
ap-612	147	9	g.	g.	PROPN
ap-612	147	10	m.	m.	PROPN
ap-612	147	11	,	,	PUNCT
ap-612	147	12	ashby	ashby	PROPN
ap-612	147	13	m.	m.	PROPN
ap-612	147	14	f.	f.	PROPN
ap-612	147	15	,	,	PUNCT
ap-612	147	16	hutchinson	hutchinson	PROPN
ap-612	147	17	j.	j.	PROPN
ap-612	147	18	w.	w.	PROPN
ap-612	147	19	:	:	PUNCT
ap-612	147	20	“	"	PUNCT
ap-612	147	21	strain	strain	VERB
ap-612	147	22	gradient	gradient	ADJ
ap-612	147	23	plasticity	plasticity	NOUN
ap-612	147	24	:	:	PUNCT
ap-612	147	25	theory	theory	NOUN
ap-612	147	26	and	and	CCONJ
ap-612	147	27	experiment	experiment	NOUN
ap-612	147	28	.	.	PUNCT
ap-612	147	29	”	"	PUNCT
ap-612	148	1	acta	acta	PROPN
ap-612	148	2	metallurgica	metallurgica	PROPN
ap-612	148	3	et	et	PROPN
ap-612	148	4	materialia	materialia	PROPN
ap-612	148	5	,	,	PUNCT
ap-612	148	6	vol	vol	NOUN
ap-612	148	7	.	.	PUNCT
ap-612	149	1	42	42	NUM
ap-612	149	2	(	(	PUNCT
ap-612	149	3	1994	1994	NUM
ap-612	149	4	)	)	PUNCT
ap-612	150	1	,	,	PUNCT
ap-612	150	2	p.475–487	p.475–487	PROPN
ap-612	150	3	.	.	PUNCT
ap-612	151	1	[	[	X
ap-612	151	2	7	7	X
ap-612	151	3	]	]	X
ap-612	151	4	zhu	zhu	PROPN
ap-612	151	5	h.	h.	PROPN
ap-612	151	6	t.	t.	PROPN
ap-612	151	7	,	,	PUNCT
ap-612	151	8	zbib	zbib	PROPN
ap-612	151	9	h.	h.	PROPN
ap-612	151	10	m.	m.	PROPN
ap-612	151	11	,	,	PUNCT
ap-612	151	12	aifantis	aifantis	PROPN
ap-612	151	13	e.	e.	PROPN
ap-612	151	14	c.	c.	PROPN
ap-612	151	15	:	:	PUNCT
ap-612	151	16	“	"	PUNCT
ap-612	151	17	strain	strain	NOUN
ap-612	151	18	gradients	gradient	NOUN
ap-612	151	19	and	and	CCONJ
ap-612	151	20	continuum	continuum	ADJ
ap-612	151	21	modeling	modeling	NOUN
ap-612	151	22	of	of	ADP
ap-612	151	23	size	size	NOUN
ap-612	151	24	effect	effect	NOUN
ap-612	151	25	in	in	ADP
ap-612	151	26	metal	metal	NOUN
ap-612	151	27	matrix	matrix	NOUN
ap-612	151	28	composites	composite	NOUN
ap-612	151	29	.	.	PUNCT
ap-612	151	30	”	"	PUNCT
ap-612	151	31	acta	acta	PROPN
ap-612	151	32	mechanica	mechanica	PROPN
ap-612	151	33	,	,	PUNCT
ap-612	151	34	vol	vol	NOUN
ap-612	151	35	.	.	PROPN
ap-612	151	36	121	121	NUM
ap-612	151	37	(	(	PUNCT
ap-612	151	38	1997	1997	NUM
ap-612	151	39	)	)	PUNCT
ap-612	151	40	,	,	PUNCT
ap-612	151	41	p.	p.	NOUN
ap-612	151	42	165–176	165–176	NUM
ap-612	151	43	.	.	PUNCT
ap-612	152	1	[	[	X
ap-612	152	2	8	8	NUM
ap-612	152	3	]	]	X
ap-612	152	4	efremidis	efremidis	PROPN
ap-612	152	5	g.	g.	PROPN
ap-612	152	6	,	,	PUNCT
ap-612	152	7	carpinteri	carpinteri	PROPN
ap-612	152	8	a.	a.	PROPN
ap-612	152	9	,	,	PUNCT
ap-612	152	10	aifantis	aifantis	PROPN
ap-612	152	11	e.	e.	PROPN
ap-612	152	12	c.	c.	PROPN
ap-612	152	13	:	:	PUNCT
ap-612	152	14	“	"	PUNCT
ap-612	152	15	griffith	griffith	PROPN
ap-612	152	16	’s	’s	PART
ap-612	152	17	theory	theory	NOUN
ap-612	152	18	versus	versus	ADP
ap-612	152	19	gradient	gradient	NOUN
ap-612	152	20	elasticity	elasticity	NOUN
ap-612	152	21	in	in	ADP
ap-612	152	22	the	the	DET
ap-612	152	23	evaluation	evaluation	NOUN
ap-612	152	24	of	of	ADP
ap-612	152	25	porous	porous	ADJ
ap-612	152	26	materials	material	NOUN
ap-612	152	27	tensile	tensile	NOUN
ap-612	152	28	strength	strength	NOUN
ap-612	152	29	.	.	PUNCT
ap-612	152	30	”	"	PUNCT
ap-612	152	31	journal	journal	NOUN
ap-612	152	32	of	of	ADP
ap-612	152	33	the	the	DET
ap-612	152	34	mechanical	mechanical	ADJ
ap-612	152	35	behavior	behavior	NOUN
ap-612	152	36	of	of	ADP
ap-612	152	37	materials	material	NOUN
ap-612	152	38	,	,	PUNCT
ap-612	152	39	vol	vol	NOUN
ap-612	152	40	.	.	PROPN
ap-612	152	41	12	12	NUM
ap-612	152	42	(	(	PUNCT
ap-612	152	43	2001	2001	NUM
ap-612	152	44	)	)	PUNCT
ap-612	152	45	,	,	PUNCT
ap-612	153	1	p.	p.	NOUN
ap-612	153	2	95–105	95–105	NUM
ap-612	153	3	.	.	PUNCT
ap-612	154	1	[	[	X
ap-612	154	2	9	9	NUM
ap-612	154	3	]	]	X
ap-612	154	4	efremidis	efremidis	PROPN
ap-612	154	5	g.	g.	PROPN
ap-612	154	6	,	,	PUNCT
ap-612	154	7	carpinteri	carpinteri	PROPN
ap-612	154	8	a.	a.	PROPN
ap-612	154	9	,	,	PUNCT
ap-612	154	10	aifantis	aifantis	PROPN
ap-612	154	11	e.	e.	PROPN
ap-612	154	12	c.	c.	PROPN
ap-612	154	13	:	:	PUNCT
ap-612	154	14	“	"	PUNCT
ap-612	154	15	multifractal	multifractal	ADJ
ap-612	154	16	scaling	scale	VERB
ap-612	154	17	law	law	NOUN
ap-612	154	18	versus	versus	ADP
ap-612	154	19	gradient	gradient	ADJ
ap-612	154	20	elasticity	elasticity	NOUN
ap-612	154	21	in	in	ADP
ap-612	154	22	the	the	DET
ap-612	154	23	evaluation	evaluation	NOUN
ap-612	154	24	of	of	ADP
ap-612	154	25	disordered	disordered	ADJ
ap-612	154	26	materials	material	NOUN
ap-612	154	27	compresive	compresive	ADJ
ap-612	154	28	strength	strength	NOUN
ap-612	154	29	.	.	PUNCT
ap-612	154	30	”	"	PUNCT
ap-612	154	31	journal	journal	NOUN
ap-612	154	32	of	of	ADP
ap-612	154	33	the	the	DET
ap-612	154	34	mechanical	mechanical	ADJ
ap-612	154	35	behavior	behavior	NOUN
ap-612	154	36	of	of	ADP
ap-612	154	37	materials	material	NOUN
ap-612	154	38	,	,	PUNCT
ap-612	154	39	vol	vol	NOUN
ap-612	154	40	.	.	PROPN
ap-612	154	41	12	12	NUM
ap-612	154	42	(	(	PUNCT
ap-612	154	43	2001	2001	NUM
ap-612	154	44	)	)	PUNCT
ap-612	154	45	,	,	PUNCT
ap-612	155	1	p.	p.	NOUN
ap-612	155	2	107–120	107–120	NUM
ap-612	155	3	.	.	PUNCT
ap-612	156	1	[	[	X
ap-612	156	2	10	10	NUM
ap-612	156	3	]	]	PUNCT
ap-612	156	4	askes	ask	VERB
ap-612	156	5	h.	h.	PROPN
ap-612	156	6	,	,	PUNCT
ap-612	156	7	aifantis	aifantis	PROPN
ap-612	156	8	e.	e.	PROPN
ap-612	156	9	c.	c.	PROPN
ap-612	156	10	:	:	PUNCT
ap-612	156	11	“	"	PUNCT
ap-612	156	12	numerical	numerical	ADJ
ap-612	156	13	modeling	modeling	NOUN
ap-612	156	14	of	of	ADP
ap-612	156	15	size	size	NOUN
ap-612	156	16	effects	effect	NOUN
ap-612	156	17	with	with	ADP
ap-612	156	18	gradient	gradient	ADJ
ap-612	156	19	elasticity	elasticity	NOUN
ap-612	156	20	–	–	PUNCT
ap-612	156	21	formulation	formulation	NOUN
ap-612	156	22	,	,	PUNCT
ap-612	156	23	meshless	meshless	NOUN
ap-612	156	24	and	and	CCONJ
ap-612	156	25	examples	example	NOUN
ap-612	156	26	.	.	PUNCT
ap-612	156	27	”	"	PUNCT
ap-612	157	1	international	international	ADJ
ap-612	157	2	journal	journal	NOUN
ap-612	157	3	of	of	ADP
ap-612	157	4	fracture	fracture	NOUN
ap-612	157	5	,	,	PUNCT
ap-612	157	6	vol	vol	NOUN
ap-612	157	7	.	.	PROPN
ap-612	157	8	117	117	NUM
ap-612	157	9	(	(	PUNCT
ap-612	157	10	2002	2002	NUM
ap-612	157	11	)	)	PUNCT
ap-612	157	12	,	,	PUNCT
ap-612	157	13	p.	p.	NOUN
ap-612	157	14	347–358	347–358	NUM
ap-612	157	15	.	.	PUNCT
ap-612	158	1	[	[	X
ap-612	158	2	11	11	NUM
ap-612	158	3	]	]	X
ap-612	158	4	carmeliet	carmeliet	PROPN
ap-612	158	5	j.	j.	PROPN
ap-612	158	6	:	:	PUNCT
ap-612	158	7	”	"	PUNCT
ap-612	158	8	optimal	optimal	ADJ
ap-612	158	9	estimation	estimation	NOUN
ap-612	158	10	of	of	ADP
ap-612	158	11	gradient	gradient	ADJ
ap-612	158	12	damage	damage	NOUN
ap-612	158	13	parameters	parameter	NOUN
ap-612	158	14	from	from	ADP
ap-612	158	15	localization	localization	NOUN
ap-612	158	16	phenomena	phenomenon	NOUN
ap-612	158	17	in	in	ADP
ap-612	158	18	quasi	quasi	ADJ
ap-612	158	19	-	-	ADJ
ap-612	158	20	brittle	brittle	ADJ
ap-612	158	21	materials	material	NOUN
ap-612	158	22	.	.	PUNCT
ap-612	158	23	”	"	PUNCT
ap-612	159	1	mechanics	mechanic	NOUN
ap-612	159	2	of	of	ADP
ap-612	159	3	cohesive	cohesive	ADJ
ap-612	159	4	-	-	PUNCT
ap-612	159	5	frictional	frictional	ADJ
ap-612	159	6	materials	material	NOUN
ap-612	159	7	,	,	PUNCT
ap-612	159	8	vol	vol	NOUN
ap-612	159	9	.	.	PROPN
ap-612	159	10	4	4	NUM
ap-612	159	11	(	(	PUNCT
ap-612	159	12	1999	1999	NUM
ap-612	159	13	)	)	PUNCT
ap-612	159	14	,	,	PUNCT
ap-612	159	15	p.	p.	PROPN
ap-612	159	16	1–16	1–16	PROPN
ap-612	159	17	.	.	PUNCT
ap-612	160	1	[	[	X
ap-612	160	2	12	12	NUM
ap-612	160	3	]	]	X
ap-612	160	4	le	le	X
ap-612	160	5	bellégo	bellégo	PROPN
ap-612	160	6	c.	c.	PROPN
ap-612	160	7	,	,	PUNCT
ap-612	160	8	dubé	dubé	NOUN
ap-612	160	9	j.	j.	PROPN
ap-612	160	10	f.	f.	PROPN
ap-612	160	11	,	,	PUNCT
ap-612	160	12	pijaudier	pijaudier	NOUN
ap-612	160	13	-	-	PUNCT
ap-612	160	14	cabot	cabot	PROPN
ap-612	160	15	g.	g.	PROPN
ap-612	160	16	,	,	PUNCT
ap-612	160	17	gérard	gérard	PROPN
ap-612	160	18	b.	b.	PROPN
ap-612	160	19	:	:	PUNCT
ap-612	160	20	“	"	PUNCT
ap-612	160	21	calibration	calibration	NOUN
ap-612	160	22	of	of	ADP
ap-612	160	23	nonlocal	nonlocal	ADJ
ap-612	160	24	damage	damage	NOUN
ap-612	160	25	model	model	NOUN
ap-612	160	26	from	from	ADP
ap-612	160	27	size	size	NOUN
ap-612	160	28	effect	effect	NOUN
ap-612	160	29	tests	test	NOUN
ap-612	160	30	.	.	PUNCT
ap-612	160	31	”	"	PUNCT
ap-612	161	1	european	european	PROPN
ap-612	161	2	journal	journal	PROPN
ap-612	161	3	of	of	ADP
ap-612	161	4	mechanics	mechanic	NOUN
ap-612	161	5	a	a	DET
ap-612	161	6	/	/	SYM
ap-612	161	7	solids	solid	NOUN
ap-612	161	8	,	,	PUNCT
ap-612	161	9	vol	vol	NOUN
ap-612	161	10	.	.	PROPN
ap-612	161	11	22	22	NUM
ap-612	161	12	(	(	PUNCT
ap-612	161	13	2003	2003	NUM
ap-612	161	14	)	)	PUNCT
ap-612	161	15	,	,	PUNCT
ap-612	161	16	p.	p.	NOUN
ap-612	161	17	33–46	33–46	NUM
ap-612	161	18	.	.	PUNCT
ap-612	162	1	[	[	X
ap-612	162	2	13	13	NUM
ap-612	162	3	]	]	PUNCT
ap-612	162	4	gutiérrez	gutiérrez	PROPN
ap-612	162	5	m.	m.	PROPN
ap-612	162	6	a.	a.	PROPN
ap-612	162	7	,	,	PUNCT
ap-612	162	8	de	de	PROPN
ap-612	162	9	borst	borst	PROPN
ap-612	162	10	r.	r.	PROPN
ap-612	162	11	:	:	PUNCT
ap-612	162	12	“	"	PUNCT
ap-612	162	13	deterministic	deterministic	ADJ
ap-612	162	14	and	and	CCONJ
ap-612	162	15	stochastic	stochastic	ADJ
ap-612	162	16	analysis	analysis	NOUN
ap-612	162	17	of	of	ADP
ap-612	162	18	size	size	NOUN
ap-612	162	19	effects	effect	NOUN
ap-612	162	20	and	and	CCONJ
ap-612	162	21	damage	damage	NOUN
ap-612	162	22	evolution	evolution	NOUN
ap-612	162	23	in	in	ADP
ap-612	162	24	quasi	quasi	ADJ
ap-612	162	25	-	-	ADJ
ap-612	162	26	brittle	brittle	ADJ
ap-612	162	27	materials	material	NOUN
ap-612	162	28	.	.	PUNCT
ap-612	162	29	”	"	PUNCT
ap-612	163	1	archive	archive	NOUN
ap-612	163	2	of	of	ADP
ap-612	163	3	applied	apply	VERB
ap-612	163	4	mechanics	mechanic	NOUN
ap-612	163	5	,	,	PUNCT
ap-612	163	6	vol	vol	NOUN
ap-612	163	7	.	.	PROPN
ap-612	163	8	69	69	NUM
ap-612	163	9	(	(	PUNCT
ap-612	163	10	1999	1999	NUM
ap-612	163	11	)	)	PUNCT
ap-612	163	12	,	,	PUNCT
ap-612	163	13	p.	p.	NOUN
ap-612	163	14	655–676	655–676	NUM
ap-612	163	15	.	.	PUNCT
ap-612	164	1	[	[	X
ap-612	164	2	14	14	NUM
ap-612	164	3	]	]	X
ap-612	164	4	peerlings	peerling	NOUN
ap-612	164	5	r.	r.	PROPN
ap-612	164	6	h.	h.	PROPN
ap-612	164	7	j.	j.	PROPN
ap-612	164	8	,	,	PUNCT
ap-612	164	9	de	de	PROPN
ap-612	164	10	borst	borst	PROPN
ap-612	164	11	r.	r.	PROPN
ap-612	164	12	,	,	PUNCT
ap-612	164	13	brekelmans	brekelman	VERB
ap-612	164	14	w.	w.	PROPN
ap-612	164	15	a.	a.	PROPN
ap-612	164	16	m.	m.	PROPN
ap-612	164	17	,	,	PUNCT
ap-612	164	18	de	de	PROPN
ap-612	164	19	vree	vree	PROPN
ap-612	164	20	j.	j.	PROPN
ap-612	164	21	h.	h.	PROPN
ap-612	164	22	p.	p.	PROPN
ap-612	164	23	:	:	PUNCT
ap-612	164	24	“	"	PUNCT
ap-612	164	25	gradient	gradient	ADJ
ap-612	164	26	enhanced	enhance	VERB
ap-612	164	27	damage	damage	NOUN
ap-612	164	28	for	for	ADP
ap-612	164	29	quasi	quasi	ADJ
ap-612	164	30	-	-	ADJ
ap-612	164	31	brittle	brittle	ADJ
ap-612	164	32	materials	material	NOUN
ap-612	164	33	.	.	PUNCT
ap-612	164	34	”	"	PUNCT
ap-612	165	1	international	international	ADJ
ap-612	165	2	journal	journal	NOUN
ap-612	165	3	for	for	ADP
ap-612	165	4	numerical	numerical	ADJ
ap-612	165	5	methods	method	NOUN
ap-612	165	6	in	in	ADP
ap-612	165	7	engineering	engineering	NOUN
ap-612	165	8	,	,	PUNCT
ap-612	165	9	vol	vol	NOUN
ap-612	165	10	.	.	PROPN
ap-612	165	11	39	39	NUM
ap-612	165	12	(	(	PUNCT
ap-612	165	13	1996	1996	NUM
ap-612	165	14	)	)	PUNCT
ap-612	165	15	,	,	PUNCT
ap-612	166	1	p.	p.	NOUN
ap-612	166	2	3391–3403	3391–3403	NUM
ap-612	166	3	.	.	PUNCT
ap-612	167	1	[	[	X
ap-612	167	2	15	15	NUM
ap-612	167	3	]	]	X
ap-612	167	4	simone	simone	NOUN
ap-612	167	5	a.	a.	PROPN
ap-612	167	6	,	,	PUNCT
ap-612	167	7	.	.	PUNCT
ap-612	168	1	sluys	sluys	PROPN
ap-612	168	2	l.	l.	PROPN
ap-612	168	3	j.	j.	PROPN
ap-612	168	4	:	:	PUNCT
ap-612	168	5	“	"	PUNCT
ap-612	168	6	the	the	DET
ap-612	168	7	use	use	NOUN
ap-612	168	8	of	of	ADP
ap-612	168	9	displacement	displacement	ADJ
ap-612	168	10	discontinuities	discontinuity	NOUN
ap-612	168	11	in	in	ADP
ap-612	168	12	a	a	DET
ap-612	168	13	rate	rate	NOUN
ap-612	168	14	-	-	PUNCT
ap-612	168	15	dependent	dependent	ADJ
ap-612	168	16	medium	medium	NOUN
ap-612	168	17	.	.	PUNCT
ap-612	168	18	”	"	PUNCT
ap-612	169	1	computer	computer	NOUN
ap-612	169	2	methods	method	NOUN
ap-612	169	3	in	in	ADP
ap-612	169	4	applied	applied	ADJ
ap-612	169	5	mechanics	mechanic	NOUN
ap-612	169	6	and	and	CCONJ
ap-612	169	7	engineering	engineering	NOUN
ap-612	169	8	,	,	PUNCT
ap-612	169	9	vol	vol	NOUN
ap-612	169	10	.	.	PROPN
ap-612	169	11	193	193	NUM
ap-612	169	12	(	(	PUNCT
ap-612	169	13	2004	2004	NUM
ap-612	169	14	)	)	PUNCT
ap-612	169	15	,	,	PUNCT
ap-612	169	16	p.	p.	NOUN
ap-612	169	17	3015–3033	3015–3033	NUM
ap-612	169	18	.	.	PUNCT
ap-612	170	1	[	[	X
ap-612	170	2	16	16	NUM
ap-612	170	3	]	]	X
ap-612	170	4	peerlings	peerling	NOUN
ap-612	170	5	r.	r.	PROPN
ap-612	170	6	h.	h.	PROPN
ap-612	170	7	j.	j.	PROPN
ap-612	170	8	,	,	PUNCT
ap-612	170	9	geers	geers	PROPN
ap-612	170	10	m.	m.	PROPN
ap-612	170	11	g.	g.	PROPN
ap-612	170	12	d.	d.	PROPN
ap-612	170	13	,	,	PUNCT
ap-612	170	14	de	de	PROPN
ap-612	170	15	borst	borst	PROPN
ap-612	170	16	r.	r.	PROPN
ap-612	170	17	,	,	PUNCT
ap-612	170	18	brekelmans	brekelman	VERB
ap-612	170	19	w.	w.	PROPN
ap-612	170	20	a.	a.	PROPN
ap-612	170	21	m.	m.	PROPN
ap-612	170	22	:	:	PUNCT
ap-612	170	23	“	"	PUNCT
ap-612	170	24	a	a	DET
ap-612	170	25	critical	critical	ADJ
ap-612	170	26	comparison	comparison	NOUN
ap-612	170	27	of	of	ADP
ap-612	170	28	nonlocal	nonlocal	ADJ
ap-612	170	29	and	and	CCONJ
ap-612	170	30	gradient	gradient	NOUN
ap-612	170	31	-	-	PUNCT
ap-612	170	32	enhanced	enhance	VERB
ap-612	170	33	softening	softening	NOUN
ap-612	170	34	continua	continuum	NOUN
ap-612	170	35	.	.	PUNCT
ap-612	170	36	”	"	PUNCT
ap-612	171	1	international	international	ADJ
ap-612	171	2	journal	journal	NOUN
ap-612	171	3	of	of	ADP
ap-612	171	4	solids	solid	NOUN
ap-612	171	5	and	and	CCONJ
ap-612	171	6	structures	structure	NOUN
ap-612	171	7	,	,	PUNCT
ap-612	171	8	vol	vol	NOUN
ap-612	171	9	.	.	PROPN
ap-612	172	1	38	38	NUM
ap-612	172	2	(	(	PUNCT
ap-612	172	3	2001	2001	NUM
ap-612	172	4	)	)	PUNCT
ap-612	172	5	,	,	PUNCT
ap-612	172	6	p.	p.	NOUN
ap-612	172	7	7723–7746	7723–7746	NUM
ap-612	172	8	.	.	PUNCT
ap-612	173	1	[	[	X
ap-612	173	2	17	17	NUM
ap-612	173	3	]	]	PUNCT
ap-612	173	4	peerlings	peerling	NOUN
ap-612	173	5	r.	r.	PROPN
ap-612	173	6	h.	h.	PROPN
ap-612	173	7	j.	j.	PROPN
ap-612	173	8	,	,	PUNCT
ap-612	173	9	de	de	PROPN
ap-612	173	10	borst	borst	PROPN
ap-612	173	11	r.	r.	PROPN
ap-612	173	12	,	,	PUNCT
ap-612	173	13	.	.	PUNCT
ap-612	173	14	brekelmans	brekelman	VERB
ap-612	173	15	w.	w.	PROPN
ap-612	173	16	a.	a.	PROPN
ap-612	173	17	m	m	PROPN
ap-612	173	18	,	,	PUNCT
ap-612	173	19	de	de	PROPN
ap-612	173	20	vree	vree	PROPN
ap-612	173	21	j.	j.	PROPN
ap-612	173	22	h.	h.	PROPN
ap-612	173	23	p.	p.	PROPN
ap-612	173	24	,	,	PUNCT
ap-612	173	25	spee	spee	PROPN
ap-612	173	26	i.	i.	PROPN
ap-612	173	27	:	:	PUNCT
ap-612	173	28	“	"	PUNCT
ap-612	173	29	some	some	DET
ap-612	173	30	observations	observation	NOUN
ap-612	173	31	on	on	ADP
ap-612	173	32	localisation	localisation	NOUN
ap-612	173	33	in	in	ADP
ap-612	173	34	non	non	ADJ
ap-612	173	35	-	-	ADJ
ap-612	173	36	local	local	ADJ
ap-612	173	37	and	and	CCONJ
ap-612	173	38	gradient	gradient	ADJ
ap-612	173	39	damage	damage	NOUN
ap-612	173	40	models	model	NOUN
ap-612	173	41	.	.	PUNCT
ap-612	173	42	”	"	PUNCT
ap-612	174	1	european	european	PROPN
ap-612	174	2	journal	journal	PROPN
ap-612	174	3	of	of	ADP
ap-612	174	4	mechanics	mechanic	NOUN
ap-612	174	5	,	,	PUNCT
ap-612	174	6	a	a	DET
ap-612	174	7	/	/	SYM
ap-612	174	8	solids	solid	NOUN
ap-612	174	9	,	,	PUNCT
ap-612	174	10	vol	vol	NOUN
ap-612	174	11	.	.	PROPN
ap-612	174	12	15	15	NUM
ap-612	174	13	(	(	PUNCT
ap-612	174	14	1996	1996	NUM
ap-612	174	15	)	)	PUNCT
ap-612	174	16	,	,	PUNCT
ap-612	175	1	p.	p.	NOUN
ap-612	175	2	937–953	937–953	NUM
ap-612	175	3	.	.	PUNCT
ap-612	176	1	[	[	X
ap-612	176	2	18	18	NUM
ap-612	176	3	]	]	PUNCT
ap-612	176	4	askes	ask	VERB
ap-612	176	5	h.	h.	PROPN
ap-612	176	6	,	,	PUNCT
ap-612	176	7	pamin	pamin	PROPN
ap-612	176	8	j.	j.	PROPN
ap-612	176	9	,	,	PUNCT
ap-612	176	10	de	de	PROPN
ap-612	176	11	borst	borst	PROPN
ap-612	176	12	r.	r.	PROPN
ap-612	176	13	:	:	PUNCT
ap-612	176	14	“	"	PUNCT
ap-612	176	15	dispersion	dispersion	NOUN
ap-612	176	16	analysis	analysis	NOUN
ap-612	176	17	and	and	CCONJ
ap-612	176	18	element	element	NOUN
ap-612	176	19	-	-	PUNCT
ap-612	176	20	free	free	ADJ
ap-612	176	21	galerkin	galerkin	ADJ
ap-612	176	22	solutions	solution	NOUN
ap-612	176	23	of	of	ADP
ap-612	176	24	second	second	ADJ
ap-612	176	25	and	and	CCONJ
ap-612	176	26	fourth	fourth	ADJ
ap-612	176	27	-	-	PUNCT
ap-612	176	28	order	order	NOUN
ap-612	176	29	gradient	gradient	NOUN
ap-612	176	30	-	-	PUNCT
ap-612	176	31	enhanced	enhance	VERB
ap-612	176	32	damage	damage	NOUN
ap-612	176	33	models	model	NOUN
ap-612	176	34	.	.	PUNCT
ap-612	176	35	”	"	PUNCT
ap-612	177	1	international	international	ADJ
ap-612	177	2	journal	journal	NOUN
ap-612	177	3	for	for	ADP
ap-612	177	4	numerical	numerical	ADJ
ap-612	177	5	methods	method	NOUN
ap-612	177	6	in	in	ADP
ap-612	177	7	engineering	engineering	NOUN
ap-612	177	8	,	,	PUNCT
ap-612	177	9	vol	vol	NOUN
ap-612	177	10	.	.	PROPN
ap-612	177	11	49	49	NUM
ap-612	177	12	(	(	PUNCT
ap-612	177	13	2000	2000	NUM
ap-612	177	14	)	)	PUNCT
ap-612	177	15	,	,	PUNCT
ap-612	177	16	p.	p.	NOUN
ap-612	177	17	811–832	811–832	NUM
ap-612	177	18	.	.	PUNCT
ap-612	178	1	[	[	X
ap-612	178	2	19	19	NUM
ap-612	178	3	]	]	PUNCT
ap-612	178	4	perzyna	perzyna	NOUN
ap-612	178	5	p.	p.	NOUN
ap-612	178	6	:	:	PUNCT
ap-612	178	7	“	"	PUNCT
ap-612	178	8	fundamental	fundamental	ADJ
ap-612	178	9	problems	problem	NOUN
ap-612	178	10	in	in	ADP
ap-612	178	11	viscoplasticity	viscoplasticity	NOUN
ap-612	178	12	.	.	PUNCT
ap-612	178	13	”	"	PUNCT
ap-612	179	1	advances	advance	NOUN
ap-612	179	2	in	in	ADP
ap-612	179	3	applied	apply	VERB
ap-612	179	4	mechanics	mechanic	NOUN
ap-612	179	5	,	,	PUNCT
ap-612	179	6	vol	vol	NOUN
ap-612	179	7	.	.	PROPN
ap-612	179	8	9	9	NUM
ap-612	179	9	(	(	PUNCT
ap-612	179	10	1966	1966	NUM
ap-612	179	11	)	)	PUNCT
ap-612	179	12	,	,	PUNCT
ap-612	179	13	academic	academic	ADJ
ap-612	179	14	press	press	NOUN
ap-612	179	15	,	,	PUNCT
ap-612	179	16	new	new	PROPN
ap-612	179	17	york	york	PROPN
ap-612	179	18	,	,	PUNCT
ap-612	179	19	p.	p.	PROPN
ap-612	179	20	243–377	243–377	NUM
ap-612	179	21	.	.	PUNCT
ap-612	180	1	40	40	NUM
ap-612	181	1	©	©	PROPN
ap-612	181	2	czech	czech	PROPN
ap-612	181	3	technical	technical	PROPN
ap-612	181	4	university	university	PROPN
ap-612	181	5	publishing	publishing	NOUN
ap-612	181	6	house	house	NOUN
ap-612	181	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-612	181	8	acta	acta	PROPN
ap-612	181	9	polytechnica	polytechnica	PROPN
ap-612	181	10	vol	vol	NOUN
ap-612	181	11	.	.	PROPN
ap-612	182	1	44	44	NUM
ap-612	182	2	no	no	NOUN
ap-612	182	3	.	.	PUNCT
ap-612	183	1	5–6/2004	5–6/2004	NUM
ap-612	184	1	[	[	X
ap-612	184	2	20	20	NUM
ap-612	184	3	]	]	X
ap-612	184	4	simone	simone	PROPN
ap-612	184	5	a.	a.	PROPN
ap-612	184	6	,	,	PUNCT
ap-612	184	7	askes	ask	VERB
ap-612	184	8	h.	h.	PROPN
ap-612	184	9	,	,	PUNCT
ap-612	184	10	peerlings	peerlings	PROPN
ap-612	184	11	r.	r.	PROPN
ap-612	184	12	h.	h.	PROPN
ap-612	184	13	j.	j.	PROPN
ap-612	184	14	,	,	PUNCT
ap-612	184	15	sluys	sluys	PROPN
ap-612	184	16	l.	l.	PROPN
ap-612	184	17	j.	j.	PROPN
ap-612	184	18	:	:	PUNCT
ap-612	184	19	“	"	PUNCT
ap-612	184	20	interpolation	interpolation	NOUN
ap-612	184	21	requirements	requirement	NOUN
ap-612	184	22	for	for	ADP
ap-612	184	23	implicit	implicit	ADJ
ap-612	184	24	gradient	gradient	NOUN
ap-612	184	25	-	-	PUNCT
ap-612	184	26	enhanced	enhance	VERB
ap-612	184	27	continuum	continuum	ADJ
ap-612	184	28	damage	damage	NOUN
ap-612	184	29	models	model	NOUN
ap-612	184	30	.	.	PUNCT
ap-612	184	31	”	"	PUNCT
ap-612	185	1	communications	communication	NOUN
ap-612	185	2	in	in	ADP
ap-612	185	3	numerical	numerical	ADJ
ap-612	185	4	methods	method	NOUN
ap-612	185	5	in	in	ADP
ap-612	185	6	engineering	engineering	NOUN
ap-612	185	7	,	,	PUNCT
ap-612	185	8	vol	vol	NOUN
ap-612	185	9	.	.	PROPN
ap-612	185	10	19	19	NUM
ap-612	185	11	(	(	PUNCT
ap-612	185	12	2003	2003	NUM
ap-612	185	13	)	)	PUNCT
ap-612	185	14	,	,	PUNCT
ap-612	185	15	p.	p.	NOUN
ap-612	185	16	563–572	563–572	NUM
ap-612	185	17	.	.	PUNCT
ap-612	186	1	(	(	PUNCT
ap-612	186	2	see	see	VERB
ap-612	186	3	also	also	ADV
ap-612	186	4	the	the	DET
ap-612	186	5	corrigenda	corrigenda	NOUN
ap-612	186	6	:	:	PUNCT
ap-612	186	7	communications	communication	NOUN
ap-612	186	8	in	in	ADP
ap-612	186	9	numerical	numerical	ADJ
ap-612	186	10	methods	method	NOUN
ap-612	186	11	in	in	ADP
ap-612	186	12	engineering	engineering	NOUN
ap-612	186	13	,	,	PUNCT
ap-612	186	14	vol	vol	NOUN
ap-612	186	15	.	.	PROPN
ap-612	186	16	20	20	NUM
ap-612	186	17	(	(	PUNCT
ap-612	186	18	2004	2004	NUM
ap-612	186	19	)	)	PUNCT
ap-612	186	20	,	,	PUNCT
ap-612	186	21	p.	p.	NOUN
ap-612	186	22	163–165	163–165	NUM
ap-612	186	23	.	.	PUNCT
ap-612	186	24	)	)	PUNCT
ap-612	187	1	[	[	X
ap-612	187	2	21	21	NUM
ap-612	187	3	]	]	X
ap-612	187	4	wang	wang	PROPN
ap-612	187	5	w.	w.	PROPN
ap-612	187	6	m.	m.	PROPN
ap-612	187	7	,	,	PUNCT
ap-612	187	8	sluys	sluys	PROPN
ap-612	187	9	l.	l.	PROPN
ap-612	187	10	j.	j.	PROPN
ap-612	187	11	,	,	PUNCT
ap-612	187	12	de	de	PROPN
ap-612	187	13	borst	borst	PROPN
ap-612	187	14	r.	r.	PROPN
ap-612	187	15	:	:	PUNCT
ap-612	187	16	“	"	PUNCT
ap-612	187	17	interaction	interaction	NOUN
ap-612	187	18	between	between	ADP
ap-612	187	19	material	material	NOUN
ap-612	187	20	length	length	NOUN
ap-612	187	21	scale	scale	NOUN
ap-612	187	22	and	and	CCONJ
ap-612	187	23	imperfection	imperfection	NOUN
ap-612	187	24	size	size	NOUN
ap-612	187	25	for	for	ADP
ap-612	187	26	localisation	localisation	NOUN
ap-612	187	27	phenomena	phenomenon	NOUN
ap-612	187	28	in	in	ADP
ap-612	187	29	viscoplastic	viscoplastic	ADJ
ap-612	187	30	media	medium	NOUN
ap-612	187	31	.	.	PUNCT
ap-612	187	32	”	"	PUNCT
ap-612	188	1	european	european	PROPN
ap-612	188	2	journal	journal	PROPN
ap-612	188	3	of	of	ADP
ap-612	188	4	mechanics	mechanic	NOUN
ap-612	188	5	a	a	DET
ap-612	188	6	/	/	SYM
ap-612	188	7	solids	solid	NOUN
ap-612	188	8	,	,	PUNCT
ap-612	188	9	vol	vol	NOUN
ap-612	188	10	.	.	PROPN
ap-612	188	11	15	15	NUM
ap-612	188	12	(	(	PUNCT
ap-612	188	13	1996	1996	NUM
ap-612	188	14	)	)	PUNCT
ap-612	188	15	,	,	PUNCT
ap-612	188	16	p.	p.	NOUN
ap-612	188	17	447–464	447–464	NUM
ap-612	188	18	.	.	PUNCT
ap-612	189	1	[	[	X
ap-612	189	2	22	22	NUM
ap-612	189	3	]	]	X
ap-612	189	4	simone	simone	PROPN
ap-612	189	5	a.	a.	PROPN
ap-612	189	6	,	,	PUNCT
ap-612	189	7	askes	ask	VERB
ap-612	189	8	h.	h.	PROPN
ap-612	189	9	,	,	PUNCT
ap-612	189	10	sluys	sluys	PROPN
ap-612	189	11	l.	l.	PROPN
ap-612	189	12	j.	j.	PROPN
ap-612	189	13	:	:	PUNCT
ap-612	189	14	“	"	PUNCT
ap-612	189	15	incorrect	incorrect	ADJ
ap-612	189	16	initiation	initiation	NOUN
ap-612	189	17	and	and	CCONJ
ap-612	189	18	propagation	propagation	NOUN
ap-612	189	19	of	of	ADP
ap-612	189	20	failure	failure	NOUN
ap-612	189	21	in	in	ADP
ap-612	189	22	non	non	ADJ
ap-612	189	23	-	-	ADJ
ap-612	189	24	local	local	ADJ
ap-612	189	25	and	and	CCONJ
ap-612	189	26	gradient	gradient	NOUN
ap-612	189	27	-	-	PUNCT
ap-612	189	28	enhanced	enhance	VERB
ap-612	189	29	media	medium	NOUN
ap-612	189	30	.	.	PUNCT
ap-612	189	31	”	"	PUNCT
ap-612	190	1	international	international	ADJ
ap-612	190	2	journal	journal	NOUN
ap-612	190	3	of	of	ADP
ap-612	190	4	solids	solid	NOUN
ap-612	190	5	and	and	CCONJ
ap-612	190	6	structures	structure	NOUN
ap-612	190	7	,	,	PUNCT
ap-612	190	8	vol	vol	NOUN
ap-612	190	9	.	.	PROPN
ap-612	190	10	41	41	NUM
ap-612	190	11	(	(	PUNCT
ap-612	190	12	2004	2004	NUM
ap-612	190	13	)	)	PUNCT
ap-612	190	14	,	,	PUNCT
ap-612	190	15	p.	p.	NOUN
ap-612	190	16	351–363	351–363	NUM
ap-612	190	17	.	.	PUNCT
ap-612	191	1	h.	h.	PROPN
ap-612	191	2	askes	ask	VERB
ap-612	191	3	faculty	faculty	NOUN
ap-612	191	4	of	of	ADP
ap-612	191	5	civil	civil	ADJ
ap-612	191	6	engineering	engineering	NOUN
ap-612	191	7	and	and	CCONJ
ap-612	191	8	geosciences	geoscience	NOUN
ap-612	191	9	delft	delft	PROPN
ap-612	191	10	university	university	PROPN
ap-612	191	11	of	of	ADP
ap-612	191	12	technology	technology	PROPN
ap-612	191	13	po	po	PROPN
ap-612	191	14	box	box	PROPN
ap-612	191	15	5048	5048	NUM
ap-612	191	16	nl-2600	nl-2600	PROPN
ap-612	191	17	ga	ga	PROPN
ap-612	191	18	delft	delft	PROPN
ap-612	191	19	,	,	PUNCT
ap-612	191	20	netherlands	netherlands	PROPN
ap-612	191	21	a.	a.	PROPN
ap-612	191	22	simone	simone	PROPN
ap-612	191	23	faculty	faculty	NOUN
ap-612	191	24	of	of	ADP
ap-612	191	25	mathematics	mathematic	NOUN
ap-612	191	26	and	and	CCONJ
ap-612	191	27	natural	natural	ADJ
ap-612	191	28	sciences	sciences	PROPN
ap-612	191	29	university	university	PROPN
ap-612	191	30	of	of	ADP
ap-612	191	31	groningen	groningen	PROPN
ap-612	191	32	nijenborgh	nijenborgh	PROPN
ap-612	191	33	4	4	NUM
ap-612	191	34	nl-9747	nl-9747	PROPN
ap-612	191	35	ag	ag	PROPN
ap-612	191	36	groningen	groningen	PROPN
ap-612	191	37	,	,	PUNCT
ap-612	191	38	netherlands	netherlands	PROPN
ap-612	191	39	l.	l.	PROPN
ap-612	191	40	j.	j.	PROPN
ap-612	191	41	sluys	sluys	PROPN
ap-612	191	42	faculty	faculty	NOUN
ap-612	191	43	of	of	ADP
ap-612	191	44	civil	civil	ADJ
ap-612	191	45	engineering	engineering	NOUN
ap-612	191	46	and	and	CCONJ
ap-612	191	47	geosciences	geoscience	NOUN
ap-612	191	48	delft	delft	PROPN
ap-612	191	49	university	university	PROPN
ap-612	191	50	of	of	ADP
ap-612	191	51	technology	technology	PROPN
ap-612	192	1	po	po	PROPN
ap-612	192	2	box	box	PROPN
ap-612	192	3	5048	5048	NUM
ap-612	192	4	nl-2600	nl-2600	PROPN
ap-612	192	5	ga	ga	PROPN
ap-612	192	6	delft	delft	PROPN
ap-612	192	7	,	,	PUNCT
ap-612	192	8	netherlands	netherlands	PROPN
ap-612	192	9	©	©	PROPN
ap-612	192	10	czech	czech	PROPN
ap-612	192	11	technical	technical	PROPN
ap-612	192	12	university	university	PROPN
ap-612	192	13	publishing	publishing	NOUN
ap-612	192	14	house	house	NOUN
ap-612	192	15	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-612	192	16	41	41	NUM
ap-612	192	17	acta	acta	PROPN
ap-612	192	18	polytechnica	polytechnica	PROPN
ap-612	192	19	vol	vol	NOUN
ap-612	192	20	.	.	PROPN
ap-612	193	1	44	44	NUM
ap-612	193	2	no	no	NOUN
ap-612	193	3	.	.	PUNCT
ap-612	194	1	5–6/2004	5–6/2004	NUM