id	sid	tid	token	lemma	pos
ap-608	1	1	ap04-bittnar1.vp	ap04-bittnar1.vp	PROPN
ap-608	1	2	1	1	NUM
ap-608	1	3	introduction	introduction	NOUN
ap-608	1	4	in	in	ADP
ap-608	1	5	solid	solid	ADJ
ap-608	1	6	mechanics	mechanic	NOUN
ap-608	1	7	,	,	PUNCT
ap-608	1	8	unlike	unlike	ADP
ap-608	1	9	fluid	fluid	ADJ
ap-608	1	10	mechanics	mechanic	NOUN
ap-608	1	11	,	,	PUNCT
ap-608	1	12	it	it	PRON
ap-608	1	13	is	be	AUX
ap-608	1	14	still	still	ADV
ap-608	1	15	not	not	PART
ap-608	1	16	widely	widely	ADV
ap-608	1	17	recognized	recognize	VERB
ap-608	1	18	that	that	SCONJ
ap-608	1	19	knowledge	knowledge	NOUN
ap-608	1	20	of	of	ADP
ap-608	1	21	the	the	DET
ap-608	1	22	size	size	NOUN
ap-608	1	23	effect	effect	NOUN
ap-608	1	24	,	,	PUNCT
ap-608	1	25	or	or	CCONJ
ap-608	1	26	scaling	scaling	NOUN
ap-608	1	27	,	,	PUNCT
ap-608	1	28	is	be	AUX
ap-608	1	29	the	the	DET
ap-608	1	30	means	mean	NOUN
ap-608	1	31	to	to	PART
ap-608	1	32	obtain	obtain	VERB
ap-608	1	33	analytical	analytical	ADJ
ap-608	1	34	predictions	prediction	NOUN
ap-608	1	35	of	of	ADP
ap-608	1	36	quasibrittle	quasibrittle	ADJ
ap-608	1	37	failures	failure	NOUN
ap-608	1	38	in	in	ADP
ap-608	1	39	general	general	ADJ
ap-608	1	40	,	,	PUNCT
ap-608	1	41	even	even	ADV
ap-608	1	42	if	if	SCONJ
ap-608	1	43	the	the	DET
ap-608	1	44	size	size	NOUN
ap-608	1	45	effect	effect	NOUN
ap-608	1	46	need	need	AUX
ap-608	1	47	not	not	PART
ap-608	1	48	be	be	AUX
ap-608	1	49	calculated	calculate	VERB
ap-608	1	50	.	.	PUNCT
ap-608	2	1	for	for	ADP
ap-608	2	2	the	the	DET
ap-608	2	3	actual	actual	ADJ
ap-608	2	4	size	size	NOUN
ap-608	2	5	of	of	ADP
ap-608	2	6	interest	interest	NOUN
ap-608	2	7	,	,	PUNCT
ap-608	2	8	a	a	DET
ap-608	2	9	direct	direct	ADJ
ap-608	2	10	analytical	analytical	ADJ
ap-608	2	11	solution	solution	NOUN
ap-608	2	12	is	be	AUX
ap-608	2	13	hard	hard	ADJ
ap-608	2	14	,	,	PUNCT
ap-608	2	15	next	next	ADV
ap-608	2	16	to	to	ADP
ap-608	2	17	impossible	impossible	ADJ
ap-608	2	18	.	.	PUNCT
ap-608	3	1	however	however	ADV
ap-608	3	2	,	,	PUNCT
ap-608	3	3	by	by	ADP
ap-608	3	4	scaling	scale	VERB
ap-608	3	5	the	the	DET
ap-608	3	6	structure	structure	NOUN
ap-608	3	7	down	down	ADP
ap-608	3	8	to	to	ADP
ap-608	3	9	vanishing	vanish	VERB
ap-608	3	10	size	size	NOUN
ap-608	3	11	,	,	PUNCT
ap-608	3	12	or	or	CCONJ
ap-608	3	13	up	up	ADP
ap-608	3	14	to	to	PART
ap-608	3	15	infinite	infinite	ADJ
ap-608	3	16	size	size	NOUN
ap-608	3	17	,	,	PUNCT
ap-608	3	18	one	one	PRON
ap-608	3	19	gets	get	VERB
ap-608	3	20	a	a	DET
ap-608	3	21	ductile	ductile	NOUN
ap-608	3	22	,	,	PUNCT
ap-608	3	23	or	or	CCONJ
ap-608	3	24	brittle	brittle	ADJ
ap-608	3	25	,	,	PUNCT
ap-608	3	26	response	response	NOUN
ap-608	3	27	,	,	PUNCT
ap-608	3	28	either	either	PRON
ap-608	3	29	of	of	ADP
ap-608	3	30	which	which	PRON
ap-608	3	31	is	be	AUX
ap-608	3	32	much	much	ADV
ap-608	3	33	easier	easy	ADJ
ap-608	3	34	to	to	PART
ap-608	3	35	solve	solve	VERB
ap-608	3	36	.	.	PUNCT
ap-608	4	1	knowing	know	VERB
ap-608	4	2	these	these	DET
ap-608	4	3	asymptotic	asymptotic	ADJ
ap-608	4	4	solutions	solution	NOUN
ap-608	4	5	,	,	PUNCT
ap-608	4	6	an	an	DET
ap-608	4	7	approximate	approximate	ADJ
ap-608	4	8	failure	failure	NOUN
ap-608	4	9	prediction	prediction	NOUN
ap-608	4	10	for	for	ADP
ap-608	4	11	the	the	DET
ap-608	4	12	middle	middle	ADJ
ap-608	4	13	range	range	NOUN
ap-608	4	14	of	of	ADP
ap-608	4	15	practical	practical	ADJ
ap-608	4	16	interest	interest	NOUN
ap-608	4	17	can	can	AUX
ap-608	4	18	then	then	ADV
ap-608	4	19	be	be	AUX
ap-608	4	20	obtained	obtain	VERB
ap-608	4	21	by	by	ADP
ap-608	4	22	asymptotic	asymptotic	ADJ
ap-608	4	23	matching	matching	NOUN
ap-608	4	24	–	–	PUNCT
ap-608	4	25	“	"	PUNCT
ap-608	4	26	interpolation	interpolation	NOUN
ap-608	4	27	”	"	PUNCT
ap-608	4	28	between	between	ADP
ap-608	4	29	the	the	DET
ap-608	4	30	opposite	opposite	ADJ
ap-608	4	31	infinities	infinity	NOUN
ap-608	4	32	.	.	PUNCT
ap-608	5	1	it	it	PRON
ap-608	5	2	is	be	AUX
ap-608	5	3	for	for	ADP
ap-608	5	4	this	this	DET
ap-608	5	5	reason	reason	NOUN
ap-608	5	6	that	that	SCONJ
ap-608	5	7	the	the	DET
ap-608	5	8	size	size	NOUN
ap-608	5	9	effect	effect	NOUN
ap-608	5	10	is	be	AUX
ap-608	5	11	the	the	DET
ap-608	5	12	key	key	ADJ
ap-608	5	13	problem	problem	NOUN
ap-608	5	14	for	for	ADP
ap-608	5	15	all	all	DET
ap-608	5	16	quasibrittle	quasibrittle	ADJ
ap-608	5	17	failures	failure	NOUN
ap-608	5	18	.	.	PUNCT
ap-608	6	1	the	the	DET
ap-608	6	2	purpose	purpose	NOUN
ap-608	6	3	of	of	ADP
ap-608	6	4	this	this	DET
ap-608	6	5	paper	paper	NOUN
ap-608	6	6	is	be	AUX
ap-608	6	7	to	to	PART
ap-608	6	8	present	present	VERB
ap-608	6	9	a	a	DET
ap-608	6	10	brief	brief	ADJ
ap-608	6	11	summary	summary	NOUN
ap-608	6	12	of	of	ADP
ap-608	6	13	the	the	DET
ap-608	6	14	advances	advance	NOUN
ap-608	6	15	in	in	ADP
ap-608	6	16	six	six	NUM
ap-608	6	17	problems	problem	NOUN
ap-608	6	18	of	of	ADP
ap-608	6	19	size	size	NOUN
ap-608	6	20	effect	effect	NOUN
ap-608	6	21	recently	recently	ADV
ap-608	6	22	studied	study	VERB
ap-608	6	23	at	at	ADP
ap-608	6	24	northwestern	northwestern	ADJ
ap-608	6	25	university	university	NOUN
ap-608	6	26	.	.	PUNCT
ap-608	7	1	2	2	NUM
ap-608	7	2	variation	variation	NOUN
ap-608	7	3	of	of	ADP
ap-608	7	4	cohesive	cohesive	ADJ
ap-608	7	5	softening	soften	VERB
ap-608	7	6	law	law	NOUN
ap-608	7	7	in	in	ADP
ap-608	7	8	boundary	boundary	ADJ
ap-608	7	9	layer	layer	NOUN
ap-608	7	10	by	by	ADP
ap-608	7	11	now	now	ADV
ap-608	7	12	it	it	PRON
ap-608	7	13	has	have	AUX
ap-608	7	14	been	be	AUX
ap-608	7	15	well	well	ADV
ap-608	7	16	established	establish	VERB
ap-608	7	17	that	that	SCONJ
ap-608	7	18	the	the	DET
ap-608	7	19	total	total	ADJ
ap-608	7	20	fracture	fracture	NOUN
ap-608	7	21	energy	energy	NOUN
ap-608	7	22	gf	gf	NOUN
ap-608	7	23	of	of	ADP
ap-608	7	24	a	a	DET
ap-608	7	25	heterogeneous	heterogeneous	ADJ
ap-608	7	26	material	material	NOUN
ap-608	7	27	such	such	ADJ
ap-608	7	28	as	as	ADP
ap-608	7	29	concrete	concrete	ADJ
ap-608	7	30	,	,	PUNCT
ap-608	7	31	defined	define	VERB
ap-608	7	32	as	as	ADP
ap-608	7	33	the	the	DET
ap-608	7	34	area	area	NOUN
ap-608	7	35	under	under	ADP
ap-608	7	36	the	the	DET
ap-608	7	37	cohesive	cohesive	ADJ
ap-608	7	38	softening	soften	VERB
ap-608	7	39	curve	curve	NOUN
ap-608	7	40	,	,	PUNCT
ap-608	7	41	is	be	AUX
ap-608	7	42	not	not	PART
ap-608	7	43	constant	constant	ADJ
ap-608	7	44	but	but	CCONJ
ap-608	7	45	varies	vary	VERB
ap-608	7	46	during	during	ADP
ap-608	7	47	crack	crack	NOUN
ap-608	7	48	propagation	propagation	NOUN
ap-608	7	49	across	across	ADP
ap-608	7	50	the	the	DET
ap-608	7	51	ligament	ligament	NOUN
ap-608	7	52	.	.	PUNCT
ap-608	8	1	the	the	DET
ap-608	8	2	variation	variation	NOUN
ap-608	8	3	of	of	ADP
ap-608	8	4	gf	gf	NOUN
ap-608	8	5	at	at	ADP
ap-608	8	6	the	the	DET
ap-608	8	7	beginning	beginning	NOUN
ap-608	8	8	of	of	ADP
ap-608	8	9	fracture	fracture	NOUN
ap-608	8	10	growth	growth	NOUN
ap-608	8	11	,	,	PUNCT
ap-608	8	12	which	which	PRON
ap-608	8	13	is	be	AUX
ap-608	8	14	described	describe	VERB
ap-608	8	15	by	by	ADP
ap-608	8	16	the	the	DET
ap-608	8	17	r	r	NOUN
ap-608	8	18	-	-	PUNCT
ap-608	8	19	curve	curve	NOUN
ap-608	8	20	,	,	PUNCT
ap-608	8	21	is	be	AUX
ap-608	8	22	only	only	ADV
ap-608	8	23	an	an	DET
ap-608	8	24	apparent	apparent	ADJ
ap-608	8	25	phenomenon	phenomenon	NOUN
ap-608	8	26	which	which	PRON
ap-608	8	27	is	be	AUX
ap-608	8	28	perfectly	perfectly	ADV
ap-608	8	29	consistent	consistent	ADJ
ap-608	8	30	with	with	ADP
ap-608	8	31	the	the	DET
ap-608	8	32	cohesive	cohesive	ADJ
ap-608	8	33	crack	crack	NOUN
ap-608	8	34	model	model	NOUN
ap-608	8	35	(	(	PUNCT
ap-608	8	36	with	with	ADP
ap-608	8	37	a	a	DET
ap-608	8	38	fixed	fix	VERB
ap-608	8	39	softening	soften	VERB
ap-608	8	40	law	law	NOUN
ap-608	8	41	)	)	PUNCT
ap-608	8	42	and	and	CCONJ
ap-608	8	43	can	can	AUX
ap-608	8	44	be	be	AUX
ap-608	8	45	calculated	calculate	VERB
ap-608	8	46	from	from	ADP
ap-608	8	47	it	it	PRON
ap-608	8	48	.	.	PUNCT
ap-608	9	1	however	however	ADV
ap-608	9	2	,	,	PUNCT
ap-608	9	3	the	the	DET
ap-608	9	4	variation	variation	NOUN
ap-608	9	5	during	during	ADP
ap-608	9	6	propagation	propagation	NOUN
ap-608	9	7	through	through	ADP
ap-608	9	8	the	the	DET
ap-608	9	9	boundary	boundary	ADJ
ap-608	9	10	layer	layer	NOUN
ap-608	9	11	at	at	ADP
ap-608	9	12	the	the	DET
ap-608	9	13	end	end	NOUN
ap-608	9	14	of	of	ADP
ap-608	9	15	the	the	DET
ap-608	9	16	ligament	ligament	NOUN
ap-608	9	17	is	be	AUX
ap-608	9	18	not	not	PART
ap-608	9	19	consistent	consistent	ADJ
ap-608	9	20	with	with	ADP
ap-608	9	21	the	the	DET
ap-608	9	22	cohesive	cohesive	ADJ
ap-608	9	23	crack	crack	NOUN
ap-608	9	24	model	model	NOUN
ap-608	9	25	and	and	CCONJ
ap-608	9	26	implies	imply	VERB
ap-608	9	27	that	that	SCONJ
ap-608	9	28	the	the	DET
ap-608	9	29	softening	soften	VERB
ap-608	9	30	curve	curve	NOUN
ap-608	9	31	of	of	ADP
ap-608	9	32	this	this	DET
ap-608	9	33	model	model	NOUN
ap-608	9	34	is	be	AUX
ap-608	9	35	not	not	PART
ap-608	9	36	an	an	DET
ap-608	9	37	invariant	invariant	ADJ
ap-608	9	38	property	property	NOUN
ap-608	9	39	.	.	PUNCT
ap-608	10	1	the	the	DET
ap-608	10	2	fact	fact	NOUN
ap-608	10	3	that	that	SCONJ
ap-608	10	4	the	the	DET
ap-608	10	5	fracture	fracture	PROPN
ap-608	10	6	energy	energy	NOUN
ap-608	10	7	representing	represent	VERB
ap-608	10	8	the	the	DET
ap-608	10	9	area	area	NOUN
ap-608	10	10	under	under	ADP
ap-608	10	11	the	the	DET
ap-608	10	12	softening	soften	VERB
ap-608	10	13	curve	curve	NOUN
ap-608	10	14	should	should	AUX
ap-608	10	15	decrease	decrease	VERB
ap-608	10	16	to	to	ADP
ap-608	10	17	zero	zero	NUM
ap-608	10	18	at	at	ADP
ap-608	10	19	the	the	DET
ap-608	10	20	end	end	NOUN
ap-608	10	21	of	of	ADP
ap-608	10	22	the	the	DET
ap-608	10	23	ligament	ligament	NOUN
ap-608	10	24	was	be	AUX
ap-608	10	25	pointed	point	VERB
ap-608	10	26	out	out	ADP
ap-608	10	27	in	in	ADP
ap-608	10	28	a	a	DET
ap-608	10	29	paper	paper	NOUN
ap-608	10	30	by	by	ADP
ap-608	10	31	bažant	bažant	NOUN
ap-608	10	32	(	(	PUNCT
ap-608	10	33	1996	1996	NUM
ap-608	10	34	)	)	PUNCT
ap-608	10	35	,	,	PUNCT
ap-608	10	36	motivated	motivate	VERB
ap-608	10	37	by	by	ADP
ap-608	10	38	the	the	DET
ap-608	10	39	experiments	experiment	NOUN
ap-608	10	40	of	of	ADP
ap-608	10	41	hu	hu	PROPN
ap-608	10	42	and	and	CCONJ
ap-608	10	43	wittmann	wittmann	PROPN
ap-608	10	44	(	(	PUNCT
ap-608	10	45	1991	1991	NUM
ap-608	10	46	and	and	CCONJ
ap-608	10	47	1992a	1992a	NUM
ap-608	10	48	)	)	PUNCT
ap-608	10	49	,	,	PUNCT
ap-608	10	50	and	and	CCONJ
ap-608	10	51	was	be	AUX
ap-608	10	52	explained	explain	VERB
ap-608	10	53	by	by	ADP
ap-608	10	54	a	a	DET
ap-608	10	55	decrease	decrease	NOUN
ap-608	10	56	of	of	ADP
ap-608	10	57	the	the	DET
ap-608	10	58	fracture	fracture	NOUN
ap-608	10	59	process	process	NOUN
ap-608	10	60	zone	zone	NOUN
ap-608	10	61	(	(	PUNCT
ap-608	10	62	fpz	fpz	PROPN
ap-608	10	63	)	)	PUNCT
ap-608	10	64	size	size	NOUN
ap-608	10	65	,	,	PUNCT
ap-608	10	66	as	as	SCONJ
ap-608	10	67	illustrated	illustrate	VERB
ap-608	10	68	on	on	ADP
ap-608	10	69	the	the	DET
ap-608	10	70	left	left	NOUN
ap-608	10	71	of	of	ADP
ap-608	10	72	fig	fig	NOUN
ap-608	10	73	.	.	PUNCT
ap-608	11	1	1a	1a	PROPN
ap-608	11	2	reproduced	reproduce	VERB
ap-608	11	3	from	from	ADP
ap-608	11	4	(	(	PUNCT
ap-608	11	5	1996	1996	NUM
ap-608	11	6	)	)	PUNCT
ap-608	11	7	paper	paper	NOUN
ap-608	11	8	of	of	ADP
ap-608	11	9	zdeněk	zdeněk	NOUN
ap-608	11	10	bažant	bažant	PROPN
ap-608	11	11	.	.	PUNCT
ap-608	12	1	an	an	DET
ap-608	12	2	experimental	experimental	ADJ
ap-608	12	3	verification	verification	NOUN
ap-608	12	4	and	and	CCONJ
ap-608	12	5	detailed	detailed	ADJ
ap-608	12	6	justification	justification	NOUN
ap-608	12	7	of	of	ADP
ap-608	12	8	this	this	DET
ap-608	12	9	property	property	NOUN
ap-608	12	10	was	be	AUX
ap-608	12	11	provided	provide	VERB
ap-608	12	12	in	in	ADP
ap-608	12	13	the	the	DET
ap-608	12	14	works	work	NOUN
ap-608	12	15	of	of	ADP
ap-608	12	16	hu	hu	PROPN
ap-608	12	17	(	(	PUNCT
ap-608	12	18	1997	1997	NUM
ap-608	12	19	,	,	PUNCT
ap-608	12	20	1998	1998	NUM
ap-608	12	21	)	)	PUNCT
ap-608	12	22	,	,	PUNCT
ap-608	12	23	hu	hu	PROPN
ap-608	12	24	and	and	CCONJ
ap-608	12	25	wittmann	wittmann	PROPN
ap-608	12	26	(	(	PUNCT
ap-608	12	27	1992b	1992b	NUM
ap-608	12	28	,	,	PUNCT
ap-608	12	29	2000	2000	NUM
ap-608	12	30	)	)	PUNCT
ap-608	12	31	,	,	PUNCT
ap-608	12	32	duan	duan	PROPN
ap-608	12	33	,	,	PUNCT
ap-608	12	34	hu	hu	PROPN
ap-608	12	35	and	and	CCONJ
ap-608	12	36	wittmann	wittmann	PROPN
ap-608	12	37	(	(	PUNCT
ap-608	12	38	2002	2002	NUM
ap-608	12	39	,	,	PUNCT
ap-608	12	40	2003	2003	NUM
ap-608	12	41	)	)	PUNCT
ap-608	12	42	,	,	PUNCT
ap-608	12	43	and	and	CCONJ
ap-608	12	44	karihaloo	karihaloo	PROPN
ap-608	12	45	,	,	PUNCT
ap-608	12	46	abdalla	abdalla	PROPN
ap-608	12	47	,	,	PUNCT
ap-608	12	48	and	and	CCONJ
ap-608	12	49	imjai	imjai	PROPN
ap-608	12	50	(	(	PUNCT
ap-608	12	51	2003	2003	NUM
ap-608	12	52	)	)	PUNCT
ap-608	12	53	.	.	PUNCT
ap-608	13	1	as	as	SCONJ
ap-608	13	2	mentioned	mention	VERB
ap-608	13	3	by	by	ADP
ap-608	13	4	bažant	bažant	NOUN
ap-608	13	5	(	(	PUNCT
ap-608	13	6	1996	1996	NUM
ap-608	13	7	)	)	PUNCT
ap-608	13	8	as	as	ADV
ap-608	13	9	well	well	ADV
ap-608	13	10	as	as	ADP
ap-608	13	11	hu	hu	PROPN
ap-608	13	12	and	and	CCONJ
ap-608	13	13	wittmann	wittmann	PROPN
ap-608	13	14	,	,	PUNCT
ap-608	13	15	the	the	DET
ap-608	13	16	consequence	consequence	NOUN
ap-608	13	17	of	of	ADP
ap-608	13	18	these	these	DET
ap-608	13	19	experimental	experimental	ADJ
ap-608	13	20	observations	observation	NOUN
ap-608	13	21	is	be	AUX
ap-608	13	22	that	that	PRON
ap-608	13	23	:	:	PUNCT
ap-608	13	24	g	g	PROPN
ap-608	13	25	a	a	PROPN
ap-608	13	26	d	d	X
ap-608	13	27	a	a	DET
ap-608	13	28	p	p	X
ap-608	13	29	u	u	NOUN
ap-608	13	30	x	x	NOUN
ap-608	13	31	x	x	X
ap-608	13	32	gf	gf	NOUN
ap-608	13	33	f	f	PROPN
ap-608	13	34	d	d	PROPN
ap-608	13	35	(	(	PUNCT
ap-608	13	36	)	)	PUNCT
ap-608	13	37	(	(	PUNCT
ap-608	13	38	)	)	PUNCT
ap-608	13	39	�	�	PROPN
ap-608	13	40	�	�	PROPN
ap-608	13	41	�	�	PROPN
ap-608	13	42	�	�	PROPN
ap-608	13	43	�	�	PROPN
ap-608	13	44	�	�	PROPN
ap-608	13	45	�	�	PROPN
ap-608	13	46	1	1	NUM
ap-608	13	47	0	0	NUM
ap-608	13	48	0	0	NUM
ap-608	13	49	0	0	NUM
ap-608	14	1	d	d	SYM
ap-608	14	2	d	d	PROPN
ap-608	14	3	�	�	PROPN
ap-608	14	4	,	,	PUNCT
ap-608	14	5	(	(	PUNCT
ap-608	14	6	1	1	X
ap-608	14	7	)	)	PUNCT
ap-608	14	8	where	where	SCONJ
ap-608	14	9	gf	gf	X
ap-608	14	10	�	�	PROPN
ap-608	14	11	average	average	ADJ
ap-608	14	12	fracture	fracture	NOUN
ap-608	14	13	energy	energy	NOUN
ap-608	14	14	in	in	ADP
ap-608	14	15	the	the	DET
ap-608	14	16	ligament	ligament	NOUN
ap-608	14	17	(	(	PUNCT
ap-608	14	18	fig	fig	NOUN
ap-608	14	19	.	.	PUNCT
ap-608	15	1	1b	1b	NUM
ap-608	15	2	)	)	PUNCT
ap-608	15	3	,	,	PUNCT
ap-608	15	4	d	d	PROPN
ap-608	15	5	�	�	PROPN
ap-608	15	6	specimen	speciman	NOUN
ap-608	15	7	size	size	NOUN
ap-608	15	8	(	(	PUNCT
ap-608	15	9	fig	fig	NOUN
ap-608	15	10	.	.	PUNCT
ap-608	16	1	1a	1a	NOUN
ap-608	16	2	)	)	PUNCT
ap-608	16	3	,	,	PUNCT
ap-608	16	4	a0	a0	PROPN
ap-608	16	5	�	�	PROPN
ap-608	16	6	notch	notch	NOUN
ap-608	16	7	depth	depth	NOUN
ap-608	16	8	,	,	PUNCT
ap-608	16	9	p	p	PROPN
ap-608	16	10	�	�	PROPN
ap-608	16	11	load	load	NOUN
ap-608	16	12	,	,	PUNCT
ap-608	16	13	u	u	PROPN
ap-608	16	14	�	�	PROPN
ap-608	16	15	load	load	NOUN
ap-608	16	16	-	-	PUNCT
ap-608	16	17	point	point	NOUN
ap-608	16	18	deflection	deflection	NOUN
ap-608	16	19	,	,	PUNCT
ap-608	16	20	�	�	PROPN
ap-608	16	21	(	(	PUNCT
ap-608	16	22	x	x	NOUN
ap-608	16	23	)	)	PUNCT
ap-608	16	24	�	�	PROPN
ap-608	16	25	local	local	ADJ
ap-608	16	26	fracture	fracture	NOUN
ap-608	16	27	energy	energy	NOUN
ap-608	16	28	as	as	ADP
ap-608	16	29	a	a	DET
ap-608	16	30	function	function	NOUN
ap-608	16	31	of	of	ADP
ap-608	16	32	coordinate	coordinate	NOUN
ap-608	16	33	x	x	PUNCT
ap-608	16	34	along	along	ADP
ap-608	16	35	the	the	DET
ap-608	16	36	ligament	ligament	NOUN
ap-608	16	37	(	(	PUNCT
ap-608	16	38	fig	fig	NOUN
ap-608	16	39	.	.	PUNCT
ap-608	17	1	1a	1a	PROPN
ap-608	17	2	left	leave	VERB
ap-608	17	3	)	)	PUNCT
ap-608	17	4	,	,	PUNCT
ap-608	17	5	g	g	PROPN
ap-608	17	6	w	w	PROPN
ap-608	17	7	xf	xf	PROPN
ap-608	17	8	�	�	PROPN
ap-608	17	9	�	�	PROPN
ap-608	17	10	�	�	PROPN
ap-608	17	11	�	�	PROPN
ap-608	17	12	�	�	PROPN
ap-608	17	13	�	�	PROPN
ap-608	17	14	d	d	PROPN
ap-608	17	15	0	0	NUM
ap-608	17	16	�	�	PROPN
ap-608	17	17	(	(	PUNCT
ap-608	17	18	)	)	PUNCT
ap-608	17	19	value	value	NOUN
ap-608	17	20	at	at	ADP
ap-608	17	21	points	point	NOUN
ap-608	17	22	x	x	PUNCT
ap-608	17	23	remote	remote	ADJ
ap-608	17	24	from	from	ADP
ap-608	17	25	the	the	DET
ap-608	17	26	boundary	boundary	NOUN
ap-608	17	27	(	(	PUNCT
ap-608	17	28	�	�	PROPN
ap-608	17	29	area	area	NOUN
ap-608	17	30	under	under	ADP
ap-608	17	31	the	the	DET
ap-608	17	32	complete	complete	ADJ
ap-608	17	33	�	�	PROPN
ap-608	17	34	(	(	PUNCT
ap-608	17	35	w	w	NOUN
ap-608	17	36	)	)	PUNCT
ap-608	17	37	diagram	diagram	NOUN
ap-608	17	38	,	,	PUNCT
ap-608	17	39	fig	fig	NOUN
ap-608	17	40	.	.	PUNCT
ap-608	18	1	1c	1c	NOUN
ap-608	18	2	)	)	PUNCT
ap-608	18	3	,	,	PUNCT
ap-608	18	4	�	�	PROPN
ap-608	18	5	�	�	PROPN
ap-608	18	6	cohesive	cohesive	ADJ
ap-608	18	7	(	(	PUNCT
ap-608	18	8	crack	crack	NOUN
ap-608	18	9	-	-	PUNCT
ap-608	18	10	bridging	bridging	NOUN
ap-608	18	11	)	)	PUNCT
ap-608	18	12	stress	stress	NOUN
ap-608	18	13	,	,	PUNCT
ap-608	18	14	and	and	CCONJ
ap-608	18	15	w	w	PROPN
ap-608	18	16	�	�	PROPN
ap-608	18	17	crack	crack	VERB
ap-608	18	18	opening	open	VERB
ap-608	18	19	�	�	PROPN
ap-608	18	20	�	�	PROPN
ap-608	18	21	separation	separation	NOUN
ap-608	18	22	of	of	ADP
ap-608	18	23	crack	crack	NOUN
ap-608	18	24	faces	face	NOUN
ap-608	18	25	.	.	PUNCT
ap-608	19	1	is	be	AUX
ap-608	19	2	this	this	DET
ap-608	19	3	behavior	behavior	NOUN
ap-608	19	4	compatible	compatible	ADJ
ap-608	19	5	with	with	ADP
ap-608	19	6	the	the	DET
ap-608	19	7	cohesive	cohesive	ADJ
ap-608	19	8	crack	crack	NOUN
ap-608	19	9	model	model	NOUN
ap-608	19	10	?	?	PUNCT
ap-608	20	1	to	to	PART
ap-608	20	2	check	check	VERB
ap-608	20	3	it	it	PRON
ap-608	20	4	,	,	PUNCT
ap-608	20	5	consider	consider	VERB
ap-608	20	6	a	a	DET
ap-608	20	7	decreasing	decrease	VERB
ap-608	20	8	fpz	fpz	NOUN
ap-608	20	9	attached	attach	VERB
ap-608	20	10	to	to	ADP
ap-608	20	11	the	the	DET
ap-608	20	12	boundary	boundary	NOUN
ap-608	20	13	at	at	ADP
ap-608	20	14	the	the	DET
ap-608	20	15	end	end	NOUN
ap-608	20	16	of	of	ADP
ap-608	20	17	ligament	ligament	NOUN
ap-608	20	18	,	,	PUNCT
ap-608	20	19	fig	fig	NOUN
ap-608	20	20	.	.	PUNCT
ap-608	21	1	1a	1a	NOUN
ap-608	21	2	.	.	PUNCT
ap-608	22	1	exteding	extede	VERB
ap-608	22	2	to	to	ADP
ap-608	22	3	this	this	DET
ap-608	22	4	situation	situation	NOUN
ap-608	22	5	rice	rice	NOUN
ap-608	22	6	’s	’s	PART
ap-608	22	7	(	(	PUNCT
ap-608	22	8	1968	1968	NUM
ap-608	22	9	)	)	PUNCT
ap-608	22	10	approach	approach	NOUN
ap-608	22	11	,	,	PUNCT
ap-608	22	12	which	which	PRON
ap-608	22	13	effectively	effectively	ADV
ap-608	22	14	launched	launch	VERB
ap-608	22	15	the	the	DET
ap-608	22	16	use	use	NOUN
ap-608	22	17	of	of	ADP
ap-608	22	18	the	the	DET
ap-608	22	19	cohesive	cohesive	ADJ
ap-608	22	20	(	(	PUNCT
ap-608	22	21	or	or	CCONJ
ap-608	22	22	fictitious	fictitious	ADJ
ap-608	22	23	)	)	PUNCT
ap-608	22	24	crack	crack	NOUN
ap-608	22	25	model	model	NOUN
ap-608	22	26	,	,	PUNCT
ap-608	22	27	we	we	PRON
ap-608	22	28	calculate	calculate	VERB
ap-608	22	29	the	the	DET
ap-608	22	30	j	j	NOUN
ap-608	22	31	-	-	NOUN
ap-608	22	32	integral	integral	ADJ
ap-608	22	33	along	along	ADP
ap-608	22	34	a	a	DET
ap-608	22	35	path	path	NOUN
ap-608	22	36	touching	touch	VERB
ap-608	22	37	the	the	DET
ap-608	22	38	crack	crack	NOUN
ap-608	22	39	faces	face	NOUN
ap-608	22	40	as	as	SCONJ
ap-608	22	41	shown	show	VERB
ap-608	22	42	in	in	ADP
ap-608	22	43	fig	fig	NOUN
ap-608	22	44	.	.	PUNCT
ap-608	23	1	2a	2a	NUM
ap-608	23	2	,	,	PUNCT
ap-608	23	3	b	b	X
ap-608	23	4	:	:	PUNCT
ap-608	23	5	�	�	PROPN
ap-608	23	6	�	�	PROPN
ap-608	23	7	j	j	PROPN
ap-608	23	8	u	u	NOUN
ap-608	23	9	y	y	PROPN
ap-608	23	10	t	t	PROPN
ap-608	23	11	u	u	NOUN
ap-608	23	12	x	x	PUNCT
ap-608	23	13	x	x	X
ap-608	23	14	v	v	ADP
ap-608	23	15	x	x	SYM
ap-608	23	16	x	x	SYM
ap-608	23	17	x	x	SYM
ap-608	23	18	t	t	NOUN
ap-608	23	19	wi	wi	PROPN
ap-608	23	20	x	x	PROPN
ap-608	23	21	d	d	X
ap-608	23	22	tip	tip	PROPN
ap-608	23	23	�	�	PROPN
ap-608	23	24	�	�	PROPN
ap-608	23	25	�	�	PROPN
ap-608	23	26	�	�	PROPN
ap-608	23	27	�	�	PROPN
ap-608	23	28	�	�	PROPN
ap-608	23	29	�	�	PROPN
ap-608	23	30	�	�	PROPN
ap-608	23	31	�	�	PROPN
ap-608	23	32	�	�	PROPN
ap-608	23	33	�	�	PROPN
ap-608	23	34	d	d	PROPN
ap-608	23	35	d	d	PROPN
ap-608	23	36	d	d	PROPN
ap-608	23	37	d	d	X
ap-608	23	38	d	d	PROPN
ap-608	23	39	end	end	NOUN
ap-608	23	40	�	�	PROPN
ap-608	23	41	�	�	PROPN
ap-608	23	42	�	�	PROPN
ap-608	23	43	�	�	PROPN
ap-608	23	44	2	2	NUM
ap-608	23	45	2	2	NUM
ap-608	23	46	(	(	PUNCT
ap-608	23	47	)	)	PUNCT
ap-608	23	48	�	�	PROPN
ap-608	23	49	�	�	PROPN
ap-608	23	50	�	�	PROPN
ap-608	23	51	�	�	PROPN
ap-608	23	52	�	�	PROPN
ap-608	23	53	�	�	PROPN
ap-608	23	54	�	�	PROPN
ap-608	23	55	�	�	PROPN
ap-608	23	56	�	�	PROPN
ap-608	23	57	�	�	PROPN
ap-608	23	58	�	�	PROPN
ap-608	23	59	�	�	PROPN
ap-608	23	60	�	�	PROPN
ap-608	23	61	�	�	PROPN
ap-608	23	62	(	(	PUNCT
ap-608	23	63	)	)	PUNCT
ap-608	23	64	(	(	PUNCT
ap-608	23	65	)	)	PUNCT
ap-608	23	66	x	x	X
ap-608	23	67	w	w	PROPN
ap-608	23	68	w	w	PROPN
ap-608	23	69	w	w	PROPN
ap-608	23	70	j	j	PROPN
ap-608	23	71	d	d	X
ap-608	23	72	j	j	PROPN
ap-608	23	73	d	d	PROPN
ap-608	23	74	area	area	NOUN
ap-608	23	75	below	below	ADV
ap-608	23	76	or	or	CCONJ
ap-608	23	77	end	end	VERB
ap-608	23	78	end	end	NOUN
ap-608	23	79	end	end	NOUN
ap-608	23	80	tai	tai	PROPN
ap-608	23	81	�	�	PROPN
ap-608	23	82	0	0	NUM
ap-608	23	83	�	�	PROPN
ap-608	23	84	�	�	PROPN
ap-608	23	85	l	l	PROPN
ap-608	23	86	middleor	middleor	PROPN
ap-608	23	87	(	(	PUNCT
ap-608	23	88	)	)	PUNCT
ap-608	23	89	(	(	PUNCT
ap-608	23	90	)	)	PUNCT
ap-608	23	91	,	,	PUNCT
ap-608	23	92	x	x	X
ap-608	23	93	j	j	NOUN
ap-608	23	94	x	x	PUNCT
ap-608	23	95	d	d	X
ap-608	23	96	�	�	PROPN
ap-608	23	97	2	2	NUM
ap-608	23	98	(	(	PUNCT
ap-608	23	99	2	2	NUM
ap-608	23	100	)	)	PUNCT
ap-608	23	101	©	©	PROPN
ap-608	23	102	czech	czech	PROPN
ap-608	23	103	technical	technical	PROPN
ap-608	23	104	university	university	PROPN
ap-608	23	105	publishing	publishing	NOUN
ap-608	23	106	house	house	NOUN
ap-608	23	107	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-608	23	108	7	7	NUM
ap-608	23	109	acta	acta	PROPN
ap-608	23	110	polytechnica	polytechnica	PROPN
ap-608	23	111	vol	vol	NOUN
ap-608	23	112	.	.	PROPN
ap-608	24	1	44	44	NUM
ap-608	24	2	no	no	NOUN
ap-608	24	3	.	.	PUNCT
ap-608	25	1	5–6/2004	5–6/2004	NUM
ap-608	25	2	size	size	NOUN
ap-608	25	3	effect	effect	NOUN
ap-608	25	4	in	in	ADP
ap-608	25	5	fracture	fracture	NOUN
ap-608	25	6	of	of	ADP
ap-608	25	7	concrete	concrete	ADJ
ap-608	25	8	specimens	specimen	NOUN
ap-608	25	9	and	and	CCONJ
ap-608	25	10	structures	structure	NOUN
ap-608	25	11	:	:	PUNCT
ap-608	25	12	new	new	ADJ
ap-608	25	13	problems	problem	NOUN
ap-608	25	14	and	and	CCONJ
ap-608	25	15	progress	progress	NOUN
ap-608	25	16	z.	z.	PROPN
ap-608	25	17	p.	p.	PROPN
ap-608	25	18	bažant	bažant	PROPN
ap-608	25	19	,	,	PUNCT
ap-608	25	20	q.	q.	PROPN
ap-608	25	21	yu	yu	PROPN
ap-608	25	22	presented	present	VERB
ap-608	25	23	is	be	AUX
ap-608	25	24	a	a	DET
ap-608	25	25	concise	concise	ADJ
ap-608	25	26	summary	summary	NOUN
ap-608	25	27	of	of	ADP
ap-608	25	28	recent	recent	ADJ
ap-608	25	29	northwestern	northwestern	ADJ
ap-608	25	30	university	university	NOUN
ap-608	25	31	studies	study	NOUN
ap-608	25	32	of	of	ADP
ap-608	25	33	six	six	NUM
ap-608	25	34	new	new	ADJ
ap-608	25	35	problems	problem	NOUN
ap-608	25	36	.	.	PUNCT
ap-608	26	1	first	first	ADV
ap-608	26	2	,	,	PUNCT
ap-608	26	3	the	the	DET
ap-608	26	4	decrease	decrease	NOUN
ap-608	26	5	of	of	ADP
ap-608	26	6	fracture	fracture	NOUN
ap-608	26	7	energy	energy	NOUN
ap-608	26	8	during	during	ADP
ap-608	26	9	crack	crack	NOUN
ap-608	26	10	propagation	propagation	NOUN
ap-608	26	11	through	through	ADP
ap-608	26	12	a	a	DET
ap-608	26	13	boundary	boundary	ADJ
ap-608	26	14	layer	layer	NOUN
ap-608	26	15	,	,	PUNCT
ap-608	26	16	documented	document	VERB
ap-608	26	17	by	by	ADP
ap-608	26	18	hu	hu	PROPN
ap-608	26	19	and	and	CCONJ
ap-608	26	20	wittmann	wittmann	PROPN
ap-608	26	21	,	,	PUNCT
ap-608	26	22	is	be	AUX
ap-608	26	23	shown	show	VERB
ap-608	26	24	to	to	PART
ap-608	26	25	be	be	AUX
ap-608	26	26	captured	capture	VERB
ap-608	26	27	by	by	ADP
ap-608	26	28	a	a	DET
ap-608	26	29	cohesive	cohesive	ADJ
ap-608	26	30	crack	crack	NOUN
ap-608	26	31	model	model	NOUN
ap-608	26	32	in	in	ADP
ap-608	26	33	which	which	PRON
ap-608	26	34	the	the	DET
ap-608	26	35	softening	soften	VERB
ap-608	26	36	tail	tail	NOUN
ap-608	26	37	slope	slope	NOUN
ap-608	26	38	depends	depend	VERB
ap-608	26	39	on	on	ADP
ap-608	26	40	the	the	DET
ap-608	26	41	distance	distance	NOUN
ap-608	26	42	from	from	ADP
ap-608	26	43	the	the	DET
ap-608	26	44	boundary	boundary	NOUN
ap-608	26	45	(	(	PUNCT
ap-608	26	46	which	which	PRON
ap-608	26	47	causes	cause	VERB
ap-608	26	48	an	an	DET
ap-608	26	49	apparent	apparent	ADJ
ap-608	26	50	size	size	NOUN
ap-608	26	51	effect	effect	NOUN
ap-608	26	52	on	on	ADP
ap-608	26	53	fracture	fracture	NOUN
ap-608	26	54	energy	energy	NOUN
ap-608	26	55	and	and	CCONJ
ap-608	26	56	implies	imply	VERB
ap-608	26	57	that	that	SCONJ
ap-608	26	58	the	the	DET
ap-608	26	59	nonlocal	nonlocal	ADJ
ap-608	26	60	damage	damage	NOUN
ap-608	26	61	model	model	NOUN
ap-608	26	62	is	be	AUX
ap-608	26	63	more	more	ADV
ap-608	26	64	fundamental	fundamental	ADJ
ap-608	26	65	than	than	ADP
ap-608	26	66	the	the	DET
ap-608	26	67	cohesive	cohesive	ADJ
ap-608	26	68	crack	crack	NOUN
ap-608	26	69	model	model	NOUN
ap-608	26	70	)	)	PUNCT
ap-608	26	71	.	.	PUNCT
ap-608	27	1	second	second	ADJ
ap-608	27	2	,	,	PUNCT
ap-608	27	3	an	an	DET
ap-608	27	4	improved	improved	ADJ
ap-608	27	5	universal	universal	ADJ
ap-608	27	6	size	size	NOUN
ap-608	27	7	effect	effect	NOUN
ap-608	27	8	law	law	NOUN
ap-608	27	9	giving	give	VERB
ap-608	27	10	a	a	DET
ap-608	27	11	smooth	smooth	ADJ
ap-608	27	12	transition	transition	NOUN
ap-608	27	13	between	between	ADP
ap-608	27	14	failures	failure	NOUN
ap-608	27	15	at	at	ADP
ap-608	27	16	large	large	ADJ
ap-608	27	17	cracks	crack	NOUN
ap-608	27	18	(	(	PUNCT
ap-608	27	19	or	or	CCONJ
ap-608	27	20	notches	notch	NOUN
ap-608	27	21	)	)	PUNCT
ap-608	27	22	and	and	CCONJ
ap-608	27	23	at	at	ADP
ap-608	27	24	crack	crack	NOUN
ap-608	27	25	initiation	initiation	NOUN
ap-608	27	26	is	be	AUX
ap-608	27	27	presented	present	VERB
ap-608	27	28	.	.	PUNCT
ap-608	28	1	third	third	ADV
ap-608	28	2	,	,	PUNCT
ap-608	28	3	a	a	DET
ap-608	28	4	recent	recent	ADJ
ap-608	28	5	renewed	renew	VERB
ap-608	28	6	proposal	proposal	NOUN
ap-608	28	7	that	that	SCONJ
ap-608	28	8	the	the	DET
ap-608	28	9	nominal	nominal	ADJ
ap-608	28	10	strength	strength	NOUN
ap-608	28	11	variation	variation	NOUN
ap-608	28	12	as	as	ADP
ap-608	28	13	a	a	DET
ap-608	28	14	function	function	NOUN
ap-608	28	15	of	of	ADP
ap-608	28	16	notch	notch	ADJ
ap-608	28	17	depth	depth	NOUN
ap-608	28	18	be	be	AUX
ap-608	28	19	used	use	VERB
ap-608	28	20	for	for	ADP
ap-608	28	21	measuring	measure	VERB
ap-608	28	22	fracture	fracture	NOUN
ap-608	28	23	energy	energy	NOUN
ap-608	28	24	is	be	AUX
ap-608	28	25	critically	critically	ADV
ap-608	28	26	examined	examine	VERB
ap-608	28	27	.	.	PUNCT
ap-608	29	1	fourth	fourth	ADJ
ap-608	29	2	,	,	PUNCT
ap-608	29	3	numerical	numerical	ADJ
ap-608	29	4	results	result	NOUN
ap-608	29	5	and	and	CCONJ
ap-608	29	6	a	a	DET
ap-608	29	7	formula	formula	NOUN
ap-608	29	8	describing	describe	VERB
ap-608	29	9	the	the	DET
ap-608	29	10	size	size	NOUN
ap-608	29	11	effect	effect	NOUN
ap-608	29	12	of	of	ADP
ap-608	29	13	finite	finite	ADJ
ap-608	29	14	-	-	ADJ
ap-608	29	15	angle	angle	NOUN
ap-608	29	16	notches	notch	NOUN
ap-608	29	17	are	be	AUX
ap-608	29	18	presented	present	VERB
ap-608	29	19	.	.	PUNCT
ap-608	30	1	fifth	fifth	ADJ
ap-608	30	2	,	,	PUNCT
ap-608	30	3	a	a	DET
ap-608	30	4	new	new	ADJ
ap-608	30	5	size	size	NOUN
ap-608	30	6	effect	effect	NOUN
ap-608	30	7	law	law	NOUN
ap-608	30	8	derivation	derivation	NOUN
ap-608	30	9	from	from	ADP
ap-608	30	10	dimensional	dimensional	ADJ
ap-608	30	11	analysis	analysis	NOUN
ap-608	30	12	coupled	couple	VERB
ap-608	30	13	with	with	ADP
ap-608	30	14	asymptotic	asymptotic	ADJ
ap-608	30	15	matching	matching	NOUN
ap-608	30	16	is	be	AUX
ap-608	30	17	given	give	VERB
ap-608	30	18	.	.	PUNCT
ap-608	31	1	finally	finally	ADV
ap-608	31	2	,	,	PUNCT
ap-608	31	3	an	an	DET
ap-608	31	4	improved	improve	VERB
ap-608	31	5	code	code	NOUN
ap-608	31	6	-	-	PUNCT
ap-608	31	7	type	type	NOUN
ap-608	31	8	formula	formula	NOUN
ap-608	31	9	for	for	ADP
ap-608	31	10	shear	shear	NOUN
ap-608	31	11	capacity	capacity	NOUN
ap-608	31	12	of	of	ADP
ap-608	31	13	r.c	r.c	PROPN
ap-608	31	14	.	.	PROPN
ap-608	31	15	beams	beam	NOUN
ap-608	31	16	is	be	AUX
ap-608	31	17	proposed	propose	VERB
ap-608	31	18	.	.	PUNCT
ap-608	32	1	keywords	keyword	NOUN
ap-608	32	2	:	:	PUNCT
ap-608	32	3	size	size	NOUN
ap-608	32	4	effect	effect	NOUN
ap-608	32	5	,	,	PUNCT
ap-608	32	6	scaling	scaling	NOUN
ap-608	32	7	,	,	PUNCT
ap-608	32	8	fracture	fracture	NOUN
ap-608	32	9	mechanics	mechanic	NOUN
ap-608	32	10	,	,	PUNCT
ap-608	32	11	cohesive	cohesive	ADJ
ap-608	32	12	cracks	crack	NOUN
ap-608	32	13	,	,	PUNCT
ap-608	32	14	quasibrittle	quasibrittle	ADJ
ap-608	32	15	materials	material	NOUN
ap-608	32	16	,	,	PUNCT
ap-608	32	17	concrete	concrete	NOUN
ap-608	32	18	.	.	PUNCT
ap-608	33	1	note	note	NOUN
ap-608	33	2	:	:	PUNCT
ap-608	33	3	this	this	DET
ap-608	33	4	paper	paper	NOUN
ap-608	33	5	is	be	AUX
ap-608	33	6	a	a	DET
ap-608	33	7	republication	republication	NOUN
ap-608	33	8	,	,	PUNCT
ap-608	33	9	with	with	ADP
ap-608	33	10	minor	minor	ADJ
ap-608	33	11	modification	modification	NOUN
ap-608	33	12	of	of	ADP
ap-608	33	13	bažant	bažant	PROPN
ap-608	33	14	&	&	CCONJ
ap-608	33	15	yu	yu	PROPN
ap-608	33	16	(	(	PUNCT
ap-608	33	17	2004	2004	NUM
ap-608	33	18	)	)	PUNCT
ap-608	33	19	,	,	PUNCT
ap-608	33	20	authorized	authorize	VERB
ap-608	33	21	by	by	ADP
ap-608	33	22	ia	ia	PROPN
ap-608	33	23	-	-	PROPN
ap-608	33	24	framcos	framco	NOUN
ap-608	33	25	in	in	ADP
ap-608	33	26	which	which	PRON
ap-608	33	27	�	�	PROPN
ap-608	33	28	�	�	PROPN
ap-608	33	29	path	path	PROPN
ap-608	33	30	length;	length;	PROPN
ap-608	33	31	x	x	SYM
ap-608	33	32	�	�	PROPN
ap-608	33	33	x1	x1	PROPN
ap-608	33	34	,	,	PUNCT
ap-608	34	1	y	y	PROPN
ap-608	34	2	�	�	PROPN
ap-608	34	3	x2	x2	PROPN
ap-608	34	4	are	be	AUX
ap-608	34	5	the	the	DET
ap-608	34	6	cartesian	cartesian	ADJ
ap-608	34	7	coordinates;	coordinates;	NOUN
ap-608	34	8	ui	ui	PROPN
ap-608	34	9	�	�	PROPN
ap-608	34	10	displacements;	displacements;	NOUN
ap-608	34	11	ti	ti	PROPN
ap-608	34	12	�	�	PROPN
ap-608	34	13	tractions	traction	NOUN
ap-608	34	14	acting	act	VERB
ap-608	34	15	on	on	ADP
ap-608	34	16	the	the	DET
ap-608	34	17	path	path	NOUN
ap-608	34	18	from	from	ADP
ap-608	34	19	the	the	DET
ap-608	34	20	outside;	outside;	X
ap-608	34	21	u	u	PROPN
ap-608	34	22	�	�	PROPN
ap-608	34	23	strain	strain	VERB
ap-608	34	24	energy	energy	NOUN
ap-608	34	25	density;	density;	NOUN
ap-608	34	26	v	v	ADP
ap-608	34	27	�	�	PROPN
ap-608	34	28	w/2;	w/2;	PROPN
ap-608	34	29	x	x	PROPN
ap-608	34	30	�	�	PROPN
ap-608	34	31	d	d	NOUN
ap-608	34	32	is	be	AUX
ap-608	34	33	the	the	DET
ap-608	34	34	end	end	NOUN
ap-608	34	35	point	point	NOUN
ap-608	34	36	of	of	ADP
ap-608	34	37	the	the	DET
ap-608	34	38	ligament;	ligament;	NOUN
ap-608	34	39	wend	wend	NOUN
ap-608	34	40	is	be	AUX
ap-608	34	41	the	the	DET
ap-608	34	42	opening	opening	NOUN
ap-608	34	43	at	at	ADP
ap-608	34	44	the	the	DET
ap-608	34	45	end	end	NOUN
ap-608	34	46	of	of	ADP
ap-608	34	47	ligament	ligament	NOUN
ap-608	34	48	(	(	PUNCT
ap-608	34	49	fig	fig	NOUN
ap-608	34	50	.	.	PUNCT
ap-608	34	51	2b	2b	NUM
ap-608	34	52	)	)	PUNCT
ap-608	34	53	.	.	PUNCT
ap-608	35	1	from	from	ADP
ap-608	35	2	these	these	DET
ap-608	35	3	equations	equation	NOUN
ap-608	35	4	,	,	PUNCT
ap-608	35	5	we	we	PRON
ap-608	35	6	see	see	VERB
ap-608	35	7	that	that	SCONJ
ap-608	35	8	the	the	DET
ap-608	35	9	instantaneous	instantaneous	ADJ
ap-608	35	10	flux	flux	NOUN
ap-608	35	11	of	of	ADP
ap-608	35	12	energy	energy	NOUN
ap-608	35	13	,	,	PUNCT
ap-608	35	14	j	j	NOUN
ap-608	35	15	,	,	PUNCT
ap-608	35	16	into	into	ADP
ap-608	35	17	the	the	DET
ap-608	35	18	shrinking	shrink	VERB
ap-608	35	19	fpz	fpz	NOUN
ap-608	35	20	attached	attach	VERB
ap-608	35	21	to	to	ADP
ap-608	35	22	the	the	DET
ap-608	35	23	end	end	NOUN
ap-608	35	24	of	of	ADP
ap-608	35	25	ligament	ligament	NOUN
ap-608	35	26	(	(	PUNCT
ap-608	35	27	fig	fig	NOUN
ap-608	35	28	.	.	PUNCT
ap-608	36	1	1a	1a	NOUN
ap-608	36	2	)	)	PUNCT
ap-608	36	3	represents	represent	VERB
ap-608	36	4	the	the	DET
ap-608	36	5	area	area	NOUN
ap-608	36	6	below	below	ADP
ap-608	36	7	the	the	DET
ap-608	36	8	line	line	NOUN
ap-608	36	9	�	�	PROPN
ap-608	36	10	�	�	PROPN
ap-608	36	11	�	�	PROPN
ap-608	36	12	end	end	VERB
ap-608	36	13	in	in	ADP
ap-608	36	14	the	the	DET
ap-608	36	15	softening	softening	NOUN
ap-608	36	16	diagram	diagram	NOUN
ap-608	36	17	,	,	PUNCT
ap-608	36	18	cross	cross	ADJ
ap-608	36	19	-	-	ADJ
ap-608	36	20	hatched	hatched	ADJ
ap-608	36	21	in	in	ADP
ap-608	36	22	fig	fig	NOUN
ap-608	36	23	.	.	PUNCT
ap-608	37	1	2i	2i	NUM
ap-608	37	2	.	.	PUNCT
ap-608	38	1	it	it	PRON
ap-608	38	2	is	be	AUX
ap-608	38	3	,	,	PUNCT
ap-608	38	4	however	however	ADV
ap-608	38	5	,	,	PUNCT
ap-608	38	6	a	a	DET
ap-608	38	7	matter	matter	NOUN
ap-608	38	8	of	of	ADP
ap-608	38	9	choice	choice	NOUN
ap-608	38	10	with	with	ADP
ap-608	38	11	which	which	DET
ap-608	38	12	coordinate	coordinate	NOUN
ap-608	38	13	x	x	VERB
ap-608	38	14	in	in	ADP
ap-608	38	15	the	the	DET
ap-608	38	16	fpz	fpz	NOUN
ap-608	38	17	this	this	DET
ap-608	38	18	flux	flux	NOUN
ap-608	38	19	j	j	PROPN
ap-608	38	20	should	should	AUX
ap-608	38	21	be	be	AUX
ap-608	38	22	associated	associate	VERB
ap-608	38	23	.	.	PUNCT
ap-608	39	1	if	if	SCONJ
ap-608	39	2	we	we	PRON
ap-608	39	3	associate	associate	VERB
ap-608	39	4	j	j	PROPN
ap-608	39	5	with	with	ADP
ap-608	39	6	the	the	DET
ap-608	39	7	front	front	NOUN
ap-608	39	8	,	,	PUNCT
ap-608	39	9	the	the	DET
ap-608	39	10	tail	tail	NOUN
ap-608	39	11	,	,	PUNCT
ap-608	39	12	or	or	CCONJ
ap-608	39	13	the	the	DET
ap-608	39	14	middle	middle	ADJ
ap-608	39	15	(	(	PUNCT
ap-608	39	16	fig	fig	NOUN
ap-608	39	17	.	.	PUNCT
ap-608	39	18	2b	2b	NOUN
ap-608	39	19	)	)	PUNCT
ap-608	39	20	of	of	ADP
ap-608	39	21	the	the	DET
ap-608	39	22	fpz	fpz	NOUN
ap-608	39	23	,	,	PUNCT
ap-608	39	24	we	we	PRON
ap-608	39	25	get	get	VERB
ap-608	39	26	widely	widely	ADV
ap-608	39	27	different	different	ADJ
ap-608	39	28	plots	plot	NOUN
ap-608	39	29	of	of	ADP
ap-608	39	30	�	�	PROPN
ap-608	39	31	�	�	PROPN
ap-608	39	32	jend	jend	PROPN
ap-608	39	33	,	,	PUNCT
ap-608	39	34	jtail	jtail	NOUN
ap-608	39	35	,	,	PUNCT
ap-608	39	36	jmiddle	jmiddle	NOUN
ap-608	39	37	,	,	PUNCT
ap-608	39	38	as	as	SCONJ
ap-608	39	39	shown	show	VERB
ap-608	39	40	in	in	ADP
ap-608	39	41	fig	fig	NOUN
ap-608	39	42	.	.	PUNCT
ap-608	40	1	2c	2c	NUM
ap-608	40	2	,	,	PUNCT
ap-608	40	3	d	d	NOUN
ap-608	40	4	,	,	PUNCT
ap-608	40	5	e	e	NOUN
ap-608	40	6	,	,	PUNCT
ap-608	40	7	respectively	respectively	ADV
ap-608	40	8	(	(	PUNCT
ap-608	40	9	the	the	DET
ap-608	40	10	first	first	ADJ
ap-608	40	11	one	one	NOUN
ap-608	40	12	terminating	terminate	VERB
ap-608	40	13	with	with	ADP
ap-608	40	14	dirac	dirac	NOUN
ap-608	40	15	delta	delta	NOUN
ap-608	40	16	function	function	NOUN
ap-608	40	17	)	)	PUNCT
ap-608	40	18	.	.	PUNCT
ap-608	41	1	this	this	DET
ap-608	41	2	ambiguity	ambiguity	NOUN
ap-608	41	3	means	mean	VERB
ap-608	41	4	that	that	SCONJ
ap-608	41	5	the	the	DET
ap-608	41	6	boundary	boundary	ADJ
ap-608	41	7	layer	layer	NOUN
ap-608	41	8	effect	effect	NOUN
ap-608	41	9	experimentally	experimentally	ADV
ap-608	41	10	documented	document	VERB
ap-608	41	11	by	by	ADP
ap-608	41	12	hu	hu	PROPN
ap-608	41	13	and	and	CCONJ
ap-608	41	14	wittmann	wittmann	PROPN
ap-608	41	15	can	can	AUX
ap-608	41	16	not	not	PART
ap-608	41	17	be	be	AUX
ap-608	41	18	represented	represent	VERB
ap-608	41	19	by	by	ADP
ap-608	41	20	the	the	DET
ap-608	41	21	standard	standard	ADJ
ap-608	41	22	cohesive	cohesive	ADJ
ap-608	41	23	crack	crack	NOUN
ap-608	41	24	model	model	NOUN
ap-608	41	25	,	,	PUNCT
ap-608	41	26	with	with	ADP
ap-608	41	27	a	a	DET
ap-608	41	28	fixed	fix	VERB
ap-608	41	29	stress	stress	NOUN
ap-608	41	30	-	-	PUNCT
ap-608	41	31	separation	separation	NOUN
ap-608	41	32	diagram	diagram	NOUN
ap-608	41	33	.	.	PUNCT
ap-608	42	1	can	can	AUX
ap-608	42	2	the	the	DET
ap-608	42	3	cohesive	cohesive	ADJ
ap-608	42	4	crack	crack	NOUN
ap-608	42	5	model	model	NOUN
ap-608	42	6	be	be	AUX
ap-608	42	7	adapted	adapt	VERB
ap-608	42	8	for	for	ADP
ap-608	42	9	this	this	DET
ap-608	42	10	purpose	purpose	NOUN
ap-608	42	11	?	?	PUNCT
ap-608	43	1	it	it	PRON
ap-608	43	2	follows	follow	VERB
ap-608	43	3	from	from	ADP
ap-608	43	4	eq	eq	ADP
ap-608	43	5	.	.	PUNCT
ap-608	44	1	(	(	PUNCT
ap-608	44	2	4	4	NUM
ap-608	44	3	)	)	PUNCT
ap-608	44	4	and	and	CCONJ
ap-608	44	5	fig	fig	NOUN
ap-608	44	6	.	.	PUNCT
ap-608	45	1	2	2	NUM
ap-608	45	2	(	(	PUNCT
ap-608	45	3	h	h	NOUN
ap-608	45	4	,	,	PUNCT
ap-608	45	5	i	i	NOUN
ap-608	45	6	)	)	PUNCT
ap-608	45	7	(	(	PUNCT
ap-608	45	8	and	and	CCONJ
ap-608	45	9	has	have	AUX
ap-608	45	10	been	be	AUX
ap-608	45	11	computationally	computationally	ADV
ap-608	45	12	verified	verify	VERB
ap-608	45	13	)	)	PUNCT
ap-608	45	14	that	that	SCONJ
ap-608	45	15	wittmann	wittmann	PROPN
ap-608	45	16	et	et	PROPN
ap-608	45	17	al	al	PROPN
ap-608	45	18	.	.	PROPN
ap-608	45	19	’s	’s	PART
ap-608	45	20	(	(	PUNCT
ap-608	45	21	1990	1990	NUM
ap-608	45	22	)	)	PUNCT
ap-608	45	23	and	and	CCONJ
ap-608	45	24	elices	elice	VERB
ap-608	45	25	et	et	PROPN
ap-608	45	26	al	al	PROPN
ap-608	45	27	.	.	PROPN
ap-608	45	28	’s	’s	PART
ap-608	45	29	(	(	PUNCT
ap-608	45	30	1992	1992	NUM
ap-608	45	31	)	)	PUNCT
ap-608	45	32	data	datum	NOUN
ap-608	45	33	can	can	AUX
ap-608	45	34	be	be	AUX
ap-608	45	35	matched	match	VERB
ap-608	45	36	(	(	PUNCT
ap-608	45	37	fig	fig	NOUN
ap-608	45	38	.	.	PUNCT
ap-608	46	1	2j	2j	NUM
ap-608	46	2	)	)	PUNCT
ap-608	46	3	if	if	SCONJ
ap-608	46	4	the	the	DET
ap-608	46	5	slope	slope	NOUN
ap-608	46	6	of	of	ADP
ap-608	46	7	the	the	DET
ap-608	46	8	tail	tail	NOUN
ap-608	46	9	segment	segment	NOUN
ap-608	46	10	of	of	ADP
ap-608	46	11	the	the	DET
ap-608	46	12	bilinear	bilinear	NOUN
ap-608	46	13	stress	stress	NOUN
ap-608	46	14	-	-	PUNCT
ap-608	46	15	separation	separation	NOUN
ap-608	46	16	diagram	diagram	NOUN
ap-608	46	17	for	for	ADP
ap-608	46	18	concrete	concrete	NOUN
ap-608	46	19	is	be	AUX
ap-608	46	20	assumed	assume	VERB
ap-608	46	21	to	to	PART
ap-608	46	22	decrease	decrease	VERB
ap-608	46	23	(	(	PUNCT
ap-608	46	24	fig	fig	NOUN
ap-608	46	25	.	.	PUNCT
ap-608	47	1	1c	1c	NOUN
ap-608	47	2	)	)	PUNCT
ap-608	48	1	in	in	ADP
ap-608	48	2	proportion	proportion	NOUN
ap-608	48	3	to	to	ADP
ap-608	48	4	diminishing	diminish	VERB
ap-608	48	5	distance	distance	NOUN
ap-608	48	6	r	r	NOUN
ap-608	48	7	�	�	PROPN
ap-608	48	8	d	d	ADP
ap-608	48	9	�	�	PROPN
ap-608	48	10	x	x	SYM
ap-608	48	11	(	(	PUNCT
ap-608	48	12	fig	fig	NOUN
ap-608	48	13	.	.	PUNCT
ap-608	48	14	2b	2b	NOUN
ap-608	48	15	)	)	PUNCT
ap-608	48	16	from	from	ADP
ap-608	48	17	the	the	DET
ap-608	48	18	end	end	NOUN
ap-608	48	19	of	of	ADP
ap-608	48	20	the	the	DET
ap-608	48	21	ligament	ligament	NOUN
ap-608	48	22	.	.	PUNCT
ap-608	49	1	after	after	ADP
ap-608	49	2	such	such	DET
ap-608	49	3	an	an	DET
ap-608	49	4	adaptation	adaptation	NOUN
ap-608	49	5	,	,	PUNCT
ap-608	49	6	the	the	DET
ap-608	49	7	cohesive	cohesive	ADJ
ap-608	49	8	(	(	PUNCT
ap-608	49	9	or	or	CCONJ
ap-608	49	10	fictitious	fictitious	ADJ
ap-608	49	11	)	)	PUNCT
ap-608	49	12	crack	crack	NOUN
ap-608	49	13	model	model	NOUN
ap-608	49	14	has	have	VERB
ap-608	49	15	a	a	DET
ap-608	49	16	general	general	ADJ
ap-608	49	17	applicability	applicability	NOUN
ap-608	49	18	,	,	PUNCT
ap-608	49	19	including	include	VERB
ap-608	49	20	the	the	DET
ap-608	49	21	boundary	boundary	ADJ
ap-608	49	22	layer	layer	NOUN
ap-608	49	23	.	.	PUNCT
ap-608	50	1	8	8	NUM
ap-608	51	1	©	©	PROPN
ap-608	51	2	czech	czech	PROPN
ap-608	51	3	technical	technical	PROPN
ap-608	51	4	university	university	PROPN
ap-608	51	5	publishing	publishing	NOUN
ap-608	51	6	house	house	NOUN
ap-608	51	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-608	51	8	acta	acta	PROPN
ap-608	51	9	polytechnica	polytechnica	PROPN
ap-608	51	10	vol	vol	NOUN
ap-608	51	11	.	.	PROPN
ap-608	52	1	44	44	NUM
ap-608	52	2	no	no	NOUN
ap-608	52	3	.	.	PUNCT
ap-608	53	1	5–6/2004	5–6/2004	NUM
ap-608	53	2	r	r	NOUN
ap-608	53	3	/	/	SYM
ap-608	53	4	d	d	NOUN
ap-608	53	5	x	x	X
ap-608	53	6	/	/	SYM
ap-608	53	7	d	d	PROPN
ap-608	53	8	average	average	ADJ
ap-608	53	9	f	f	PROPN
ap-608	53	10	g	g	PROPN
ap-608	53	11	�	�	PROPN
ap-608	53	12	�	�	PROPN
ap-608	53	13	local	local	ADJ
ap-608	53	14	fracture	fracture	PROPN
ap-608	53	15	energy	energy	NOUN
ap-608	54	1	f	f	PROPN
ap-608	54	2	g	g	PROPN
ap-608	54	3	f	f	PROPN
ap-608	54	4	g	g	PROPN
ap-608	54	5	fg	fg	PROPN
ap-608	54	6	small	small	ADJ
ap-608	54	7	large	large	ADJ
ap-608	54	8	�	�	PROPN
ap-608	54	9	/w	/w	NOUN
ap-608	55	1	h	h	NOUN
ap-608	55	2	p	p	NOUN
ap-608	55	3	fpz	fpz	PROPN
ap-608	56	1	d	d	PROPN
ap-608	56	2	a	a	DET
ap-608	56	3	0a	0a	PROPN
ap-608	56	4	1a	1a	X
ap-608	56	5	2a	2a	NUM
ap-608	56	6	x	x	SYM
ap-608	56	7	�	�	PROPN
ap-608	56	8	a	a	PRON
ap-608	56	9	)	)	PUNCT
ap-608	56	10	b	b	NOUN
ap-608	56	11	)	)	PUNCT
ap-608	56	12	c	c	NOUN
ap-608	56	13	)	)	PUNCT
ap-608	56	14	g	g	NOUN
ap-608	56	15	w	w	NOUN
ap-608	56	16	r	r	NOUN
ap-608	56	17	(	(	PUNCT
ap-608	56	18	,	,	PUNCT
ap-608	56	19	)	)	PUNCT
ap-608	56	20	�	�	PROPN
ap-608	56	21	�	�	PROPN
ap-608	56	22	fixed	fix	VERB
ap-608	56	23	curver	curver	NOUN
ap-608	56	24	(	(	PUNCT
ap-608	56	25	)	)	PUNCT
ap-608	56	26	x	x	X
ap-608	56	27	�	�	PROPN
ap-608	56	28	fig	fig	NOUN
ap-608	56	29	.	.	PUNCT
ap-608	57	1	1	1	NUM
ap-608	57	2	:	:	PUNCT
ap-608	57	3	(	(	PUNCT
ap-608	57	4	a	a	X
ap-608	57	5	)	)	PUNCT
ap-608	57	6	variation	variation	NOUN
ap-608	57	7	of	of	ADP
ap-608	57	8	local	local	ADJ
ap-608	57	9	fracture	fracture	PROPN
ap-608	57	10	energy	energy	NOUN
ap-608	57	11	�	�	PROPN
ap-608	57	12	(	(	PUNCT
ap-608	57	13	x	x	NOUN
ap-608	57	14	)	)	PUNCT
ap-608	57	15	across	across	ADP
ap-608	57	16	the	the	DET
ap-608	57	17	ligament	ligament	NOUN
ap-608	57	18	,	,	PUNCT
ap-608	57	19	decreasing	decrease	VERB
ap-608	57	20	in	in	ADP
ap-608	57	21	the	the	DET
ap-608	57	22	boundary	boundary	ADJ
ap-608	57	23	layer	layer	NOUN
ap-608	57	24	(	(	PUNCT
ap-608	57	25	reproduced	reproduce	VERB
ap-608	57	26	from	from	ADP
ap-608	57	27	bažant	bažant	ADJ
ap-608	57	28	1996	1996	NUM
ap-608	57	29	)	)	PUNCT
ap-608	57	30	;	;	PUNCT
ap-608	57	31	(	(	PUNCT
ap-608	57	32	b	b	X
ap-608	57	33	)	)	PUNCT
ap-608	57	34	average	average	ADJ
ap-608	57	35	fracture	fracture	NOUN
ap-608	57	36	energy	energy	NOUN
ap-608	57	37	gf	gf	NOUN
ap-608	57	38	;	;	PUNCT
ap-608	57	39	(	(	PUNCT
ap-608	57	40	c	c	X
ap-608	57	41	)	)	PUNCT
ap-608	57	42	required	require	VERB
ap-608	57	43	modification	modification	NOUN
ap-608	57	44	of	of	ADP
ap-608	57	45	cohesive	cohesive	ADJ
ap-608	57	46	(	(	PUNCT
ap-608	57	47	or	or	CCONJ
ap-608	57	48	fictitious	fictitious	ADJ
ap-608	57	49	)	)	PUNCT
ap-608	57	50	crack	crack	NOUN
ap-608	57	51	model	model	NOUN
ap-608	57	52	'	'	PART
ap-608	57	53	t	t	PROPN
ap-608	58	1	f	f	X
ap-608	58	2	x	x	INTJ
ap-608	58	3	(	(	PUNCT
ap-608	58	4	)	)	PUNCT
ap-608	58	5	(	(	PUNCT
ap-608	58	6	(	(	PUNCT
ap-608	58	7	)	)	PUNCT
ap-608	58	8	)	)	PUNCT
ap-608	58	9	x	x	X
ap-608	59	1	g	g	ADP
ap-608	59	2	v	v	NUM
ap-608	59	3	x	x	X
ap-608	59	4	�	�	PROPN
ap-608	59	5	�	�	PROPN
ap-608	59	6	j	j	PROPN
ap-608	59	7	pathlf	pathlf	PROPN
ap-608	59	8	l	l	PROPN
ap-608	59	9	'	'	PUNCT
ap-608	59	10	end	end	NOUN
ap-608	59	11	t	t	PROPN
ap-608	59	12	f	f	X
ap-608	59	13	�	�	PROPN
ap-608	59	14	�	�	PROPN
ap-608	59	15	x	x	SYM
ap-608	59	16	(	(	PUNCT
ap-608	59	17	)	)	PUNCT
ap-608	59	18	(	(	PUNCT
ap-608	59	19	(	(	PUNCT
ap-608	59	20	)	)	PUNCT
ap-608	59	21	)	)	PUNCT
ap-608	60	1	x	x	X
ap-608	61	1	g	g	ADP
ap-608	61	2	v	v	NUM
ap-608	61	3	x	x	X
ap-608	61	4	�	�	PROPN
ap-608	61	5	�	�	PROPN
ap-608	61	6	j	j	PROPN
ap-608	61	7	pathr	pathr	PROPN
ap-608	61	8	tail	tail	PROPN
ap-608	61	9	end	end	NOUN
ap-608	61	10	l	l	PROPN
ap-608	61	11	end	end	NOUN
ap-608	61	12	w	w	PROPN
ap-608	61	13	0	0	NUM
ap-608	61	14	0a	0a	PROPN
ap-608	61	15	fd	fd	PROPN
ap-608	61	16	l	l	X
ap-608	61	17	�	�	PROPN
ap-608	61	18	d	d	SYM
ap-608	61	19	r	r	PROPN
ap-608	61	20	�	�	PROPN
ap-608	61	21	d	d	NOUN
ap-608	61	22	j	j	PROPN
ap-608	61	23	when	when	SCONJ
ap-608	61	24	fpz	fpz	PROPN
ap-608	61	25	is	be	AUX
ap-608	61	26	growing	grow	VERB
ap-608	61	27	from	from	ADP
ap-608	61	28	notch	notch	PROPN
ap-608	61	29	j	j	PROPN
ap-608	61	30	when	when	SCONJ
ap-608	61	31	fpz	fpz	PROPN
ap-608	61	32	is	be	AUX
ap-608	61	33	growing	grow	VERB
ap-608	61	34	from	from	ADP
ap-608	61	35	notch	notch	PROPN
ap-608	61	36	j	j	PROPN
ap-608	61	37	when	when	SCONJ
ap-608	61	38	fpz	fpz	PROPN
ap-608	61	39	is	be	AUX
ap-608	61	40	moving	move	VERB
ap-608	61	41	j	j	PROPN
ap-608	61	42	when	when	SCONJ
ap-608	61	43	fpz	fpz	PROPN
ap-608	61	44	is	be	AUX
ap-608	61	45	moving	move	VERB
ap-608	61	46	j	j	PROPN
ap-608	61	47	when	when	SCONJ
ap-608	61	48	fpz	fpz	PROPN
ap-608	61	49	is	be	AUX
ap-608	61	50	shrinking	shrink	VERB
ap-608	61	51	at	at	ADP
ap-608	61	52	end	end	NOUN
ap-608	61	53	j	j	PROPN
ap-608	61	54	when	when	SCONJ
ap-608	61	55	fpz	fpz	PROPN
ap-608	61	56	is	be	AUX
ap-608	61	57	shrinking	shrink	VERB
ap-608	61	58	at	at	ADP
ap-608	61	59	end	end	NOUN
ap-608	61	60	jtip	jtip	PROPN
ap-608	61	61	dfd	dfd	PROPN
ap-608	61	62	l	l	PROPN
ap-608	61	63	�	�	PROPN
ap-608	61	64	jfront	jfront	PROPN
ap-608	61	65	dfd	dfd	PROPN
ap-608	61	66	l	l	PROPN
ap-608	61	67	�	�	PROPN
ap-608	61	68	jmiddle	jmiddle	PROPN
ap-608	61	69	df	df	PROPN
ap-608	61	70	d	d	PROPN
ap-608	61	71	l	l	X
ap-608	61	72	�	�	PROPN
ap-608	61	73	v	v	PRON
ap-608	61	74	end	end	NOUN
ap-608	61	75	endv	endv	PROPN
ap-608	61	76	jend	jend	PROPN
ap-608	61	77	tip	tip	PROPN
ap-608	61	78	�	�	PROPN
ap-608	61	79	v	v	ADP
ap-608	61	80	end	end	NOUN
ap-608	61	81	�	�	PROPN
ap-608	61	82	endv	endv	PROPN
ap-608	61	83	jend	jend	NOUN
ap-608	61	84	tip	tip	NOUN
ap-608	61	85	0	0	NUM
ap-608	61	86	0	0	NUM
ap-608	62	1	d	d	NOUN
ap-608	62	2	a	a	X
ap-608	62	3	d	d	X
ap-608	62	4	�	�	PROPN
ap-608	63	1	f	f	PROPN
ap-608	63	2	f	f	PROPN
ap-608	63	3	g	g	PROPN
ap-608	63	4	g	g	PROPN
ap-608	63	5	cohesive	cohesive	ADJ
ap-608	63	6	crack	crack	NOUN
ap-608	63	7	model	model	NOUN
ap-608	63	8	0	0	NUM
ap-608	63	9	6	6	NUM
ap-608	63	10	0	0	NUM
ap-608	63	11	1	1	NUM
ap-608	63	12	tests	test	NOUN
ap-608	63	13	by	by	ADP
ap-608	63	14	wittmann	wittmann	PROPN
ap-608	63	15	et	et	PROPN
ap-608	63	16	al.(1990	al.(1990	PROPN
ap-608	63	17	)	)	PUNCT
ap-608	63	18	and	and	CCONJ
ap-608	63	19	elices	elice	VERB
ap-608	63	20	et	et	PROPN
ap-608	63	21	al.(1992	al.(1992	PROPN
ap-608	63	22	)	)	PUNCT
ap-608	63	23	a	a	DET
ap-608	63	24	)	)	PUNCT
ap-608	63	25	b	b	NOUN
ap-608	63	26	)	)	PUNCT
ap-608	63	27	c	c	NOUN
ap-608	63	28	)	)	PUNCT
ap-608	63	29	d	d	NOUN
ap-608	63	30	)	)	PUNCT
ap-608	63	31	e	e	NOUN
ap-608	63	32	)	)	PUNCT
ap-608	63	33	f	f	X
ap-608	63	34	)	)	PUNCT
ap-608	63	35	g	g	NOUN
ap-608	63	36	)	)	PUNCT
ap-608	63	37	h	h	NOUN
ap-608	63	38	)	)	PUNCT
ap-608	63	39	i	i	NOUN
ap-608	63	40	)	)	PUNCT
ap-608	63	41	j	j	PROPN
ap-608	63	42	)	)	PUNCT
ap-608	63	43	fig	fig	NOUN
ap-608	63	44	.	.	PUNCT
ap-608	64	1	2	2	NUM
ap-608	64	2	:	:	PUNCT
ap-608	64	3	(	(	PUNCT
ap-608	64	4	a	a	PRON
ap-608	64	5	,	,	PUNCT
ap-608	64	6	b	b	NOUN
ap-608	64	7	)	)	PUNCT
ap-608	64	8	j	j	NOUN
ap-608	64	9	-	-	ADJ
ap-608	64	10	integral	integral	ADJ
ap-608	64	11	path	path	NOUN
ap-608	64	12	;	;	PUNCT
ap-608	64	13	(	(	PUNCT
ap-608	64	14	c	c	X
ap-608	64	15	,	,	PUNCT
ap-608	64	16	d	d	NOUN
ap-608	64	17	,	,	PUNCT
ap-608	64	18	e	e	NOUN
ap-608	64	19	)	)	PUNCT
ap-608	64	20	ambiguity	ambiguity	NOUN
ap-608	64	21	in	in	ADP
ap-608	64	22	j	j	ADJ
ap-608	64	23	-	-	ADJ
ap-608	64	24	integral	integral	ADJ
ap-608	64	25	variation	variation	NOUN
ap-608	64	26	;	;	PUNCT
ap-608	64	27	(	(	PUNCT
ap-608	64	28	f	f	X
ap-608	64	29	,	,	PUNCT
ap-608	64	30	g	g	PROPN
ap-608	64	31	,	,	PUNCT
ap-608	64	32	h	h	NOUN
ap-608	64	33	,	,	PUNCT
ap-608	64	34	i	i	NOUN
ap-608	64	35	)	)	PUNCT
ap-608	64	36	fracture	fracture	PROPN
ap-608	64	37	energies	energy	NOUN
ap-608	64	38	corresponding	correspond	VERB
ap-608	64	39	to	to	ADP
ap-608	64	40	j	j	NOUN
ap-608	64	41	-	-	ADJ
ap-608	64	42	integral	integral	ADJ
ap-608	64	43	;	;	PUNCT
ap-608	64	44	(	(	PUNCT
ap-608	64	45	j	j	NOUN
ap-608	64	46	)	)	PUNCT
ap-608	64	47	test	test	NOUN
ap-608	64	48	data	datum	NOUN
ap-608	64	49	fitted	fit	VERB
ap-608	64	50	by	by	ADP
ap-608	64	51	modified	modify	VERB
ap-608	64	52	cohesive	cohesive	ADJ
ap-608	64	53	crack	crack	NOUN
ap-608	64	54	model	model	NOUN
ap-608	64	55	with	with	ADP
ap-608	64	56	variable	variable	ADJ
ap-608	64	57	tail	tail	NOUN
ap-608	64	58	however	however	ADV
ap-608	64	59	,	,	PUNCT
ap-608	64	60	the	the	DET
ap-608	64	61	consequence	consequence	NOUN
ap-608	64	62	is	be	AUX
ap-608	64	63	that	that	SCONJ
ap-608	64	64	the	the	DET
ap-608	64	65	total	total	ADJ
ap-608	64	66	fracture	fracture	NOUN
ap-608	64	67	energy	energy	NOUN
ap-608	64	68	gf	gf	NOUN
ap-608	64	69	(	(	PUNCT
ap-608	64	70	area	area	NOUN
ap-608	64	71	under	under	ADP
ap-608	64	72	the	the	DET
ap-608	64	73	complete	complete	ADJ
ap-608	64	74	stress	stress	NOUN
ap-608	64	75	-	-	PUNCT
ap-608	64	76	separation	separation	NOUN
ap-608	64	77	curve	curve	NOUN
ap-608	64	78	)	)	PUNCT
ap-608	64	79	is	be	AUX
ap-608	64	80	not	not	PART
ap-608	64	81	constant	constant	ADJ
ap-608	64	82	.	.	PUNCT
ap-608	65	1	noting	note	VERB
ap-608	65	2	that	that	SCONJ
ap-608	65	3	the	the	PRON
ap-608	65	4	larger	large	ADJ
ap-608	65	5	the	the	DET
ap-608	65	6	structure	structure	NOUN
ap-608	65	7	,	,	PUNCT
ap-608	65	8	the	the	DET
ap-608	65	9	smaller	small	ADJ
ap-608	65	10	is	be	AUX
ap-608	65	11	the	the	DET
ap-608	65	12	length	length	NOUN
ap-608	65	13	fraction	fraction	NOUN
ap-608	65	14	of	of	ADP
ap-608	65	15	the	the	DET
ap-608	65	16	boundary	boundary	ADJ
ap-608	65	17	layer	layer	NOUN
ap-608	65	18	,	,	PUNCT
ap-608	65	19	one	one	PRON
ap-608	65	20	must	must	AUX
ap-608	65	21	conclude	conclude	VERB
ap-608	65	22	that	that	SCONJ
ap-608	65	23	the	the	DET
ap-608	65	24	diminishing	diminish	VERB
ap-608	65	25	tail	tail	NOUN
ap-608	65	26	slope	slope	NOUN
ap-608	65	27	in	in	ADP
ap-608	65	28	fig	fig	NOUN
ap-608	65	29	.	.	PUNCT
ap-608	66	1	1c	1c	NOUN
ap-608	66	2	automatically	automatically	ADV
ap-608	66	3	implies	imply	VERB
ap-608	66	4	a	a	DET
ap-608	66	5	certain	certain	ADJ
ap-608	66	6	size	size	NOUN
ap-608	66	7	effect	effect	NOUN
ap-608	66	8	on	on	ADP
ap-608	66	9	the	the	DET
ap-608	66	10	apparent	apparent	ADJ
ap-608	66	11	gf	gf	NOUN
ap-608	66	12	,	,	PUNCT
ap-608	66	13	as	as	SCONJ
ap-608	66	14	given	give	VERB
ap-608	66	15	by	by	ADP
ap-608	66	16	eq	eq	PROPN
ap-608	66	17	.	.	PUNCT
ap-608	67	1	(	(	PUNCT
ap-608	67	2	1	1	NUM
ap-608	67	3	)	)	PUNCT
ap-608	67	4	.	.	PUNCT
ap-608	68	1	it	it	PRON
ap-608	68	2	further	far	ADV
ap-608	68	3	follows	follow	VERB
ap-608	68	4	from	from	ADP
ap-608	68	5	fig	fig	NOUN
ap-608	68	6	.	.	PUNCT
ap-608	69	1	2	2	NUM
ap-608	69	2	(	(	PUNCT
ap-608	69	3	h	h	NOUN
ap-608	69	4	,	,	PUNCT
ap-608	69	5	i	i	NOUN
ap-608	69	6	)	)	PUNCT
ap-608	69	7	,	,	PUNCT
ap-608	69	8	and	and	CCONJ
ap-608	69	9	has	have	AUX
ap-608	69	10	been	be	AUX
ap-608	69	11	computationally	computationally	ADV
ap-608	69	12	verified	verify	VERB
ap-608	69	13	,	,	PUNCT
ap-608	69	14	that	that	SCONJ
ap-608	69	15	the	the	DET
ap-608	69	16	initial	initial	ADJ
ap-608	69	17	tangent	tangent	NOUN
ap-608	69	18	of	of	ADP
ap-608	69	19	the	the	DET
ap-608	69	20	stress	stress	NOUN
ap-608	69	21	-	-	PUNCT
ap-608	69	22	separation	separation	NOUN
ap-608	69	23	diagram	diagram	NOUN
ap-608	69	24	,	,	PUNCT
ap-608	69	25	the	the	DET
ap-608	69	26	area	area	NOUN
ap-608	69	27	under	under	ADP
ap-608	69	28	which	which	PRON
ap-608	69	29	represents	represent	VERB
ap-608	69	30	the	the	DET
ap-608	69	31	initial	initial	ADJ
ap-608	69	32	fracture	fracture	NOUN
ap-608	69	33	energy	energy	NOUN
ap-608	69	34	gf	gf	NOUN
ap-608	69	35	(	(	PUNCT
ap-608	69	36	bažant	bažant	PROPN
ap-608	69	37	2002a	2002a	NOUN
ap-608	69	38	,	,	PUNCT
ap-608	69	39	b	b	X
ap-608	69	40	,	,	PUNCT
ap-608	69	41	bažant	bažant	PROPN
ap-608	69	42	,	,	PUNCT
ap-608	69	43	yu	yu	PROPN
ap-608	69	44	and	and	CCONJ
ap-608	69	45	zi	zi	PROPN
ap-608	69	46	2002	2002	NUM
ap-608	69	47	)	)	PUNCT
ap-608	69	48	,	,	PUNCT
ap-608	69	49	can	can	AUX
ap-608	69	50	be	be	AUX
ap-608	69	51	considered	consider	VERB
ap-608	69	52	as	as	SCONJ
ap-608	69	53	fixed	fix	VERB
ap-608	69	54	–	–	PUNCT
ap-608	69	55	in	in	ADP
ap-608	69	56	other	other	ADJ
ap-608	69	57	words	word	NOUN
ap-608	69	58	,	,	PUNCT
ap-608	69	59	gf	gf	NOUN
ap-608	69	60	,	,	PUNCT
ap-608	69	61	unlike	unlike	ADP
ap-608	69	62	gf	gf	NOUN
ap-608	69	63	,	,	PUNCT
ap-608	69	64	is	be	AUX
ap-608	69	65	a	a	DET
ap-608	69	66	material	material	NOUN
ap-608	69	67	constant	constant	ADJ
ap-608	69	68	.	.	PUNCT
ap-608	70	1	aside	aside	ADV
ap-608	70	2	from	from	ADP
ap-608	70	3	the	the	DET
ap-608	70	4	fact	fact	NOUN
ap-608	70	5	that	that	SCONJ
ap-608	70	6	the	the	DET
ap-608	70	7	maximum	maximum	ADJ
ap-608	70	8	loads	load	NOUN
ap-608	70	9	of	of	ADP
ap-608	70	10	specimens	specimen	NOUN
ap-608	70	11	and	and	CCONJ
ap-608	70	12	structures	structure	NOUN
ap-608	70	13	are	be	AUX
ap-608	70	14	generally	generally	ADV
ap-608	70	15	controlled	control	VERB
ap-608	70	16	by	by	ADP
ap-608	70	17	gf	gf	PROPN
ap-608	70	18	,	,	PUNCT
ap-608	70	19	not	not	PART
ap-608	70	20	gf	gf	PROPN
ap-608	70	21	,	,	PUNCT
ap-608	70	22	this	this	PRON
ap-608	70	23	suggests	suggest	VERB
ap-608	70	24	that	that	SCONJ
ap-608	70	25	the	the	DET
ap-608	70	26	standard	standard	ADJ
ap-608	70	27	fracture	fracture	PROPN
ap-608	70	28	test	test	NOUN
ap-608	70	29	that	that	PRON
ap-608	70	30	should	should	AUX
ap-608	70	31	be	be	AUX
ap-608	70	32	introduced	introduce	VERB
ap-608	70	33	is	be	AUX
ap-608	70	34	that	that	PRON
ap-608	70	35	which	which	PRON
ap-608	70	36	yields	yield	VERB
ap-608	70	37	not	not	PART
ap-608	70	38	gf	gf	VERB
ap-608	70	39	but	but	CCONJ
ap-608	70	40	gf	gf	PROPN
ap-608	70	41	(	(	PUNCT
ap-608	70	42	the	the	DET
ap-608	70	43	size	size	NOUN
ap-608	70	44	effect	effect	NOUN
ap-608	70	45	method	method	NOUN
ap-608	70	46	,	,	PUNCT
ap-608	70	47	as	as	ADV
ap-608	70	48	well	well	ADV
ap-608	70	49	as	as	ADP
ap-608	70	50	the	the	DET
ap-608	70	51	method	method	NOUN
ap-608	70	52	of	of	ADP
ap-608	70	53	guinea	guinea	NOUN
ap-608	70	54	,	,	PUNCT
ap-608	70	55	planas	plana	NOUN
ap-608	70	56	and	and	CCONJ
ap-608	70	57	elices	elice	NOUN
ap-608	70	58	,	,	PUNCT
ap-608	70	59	1994a	1994a	NUM
ap-608	70	60	,	,	PUNCT
ap-608	70	61	b	b	NUM
ap-608	70	62	,	,	PUNCT
ap-608	70	63	serve	serve	VERB
ap-608	70	64	this	this	DET
ap-608	70	65	purpose	purpose	NOUN
ap-608	70	66	,	,	PUNCT
ap-608	70	67	while	while	SCONJ
ap-608	70	68	the	the	DET
ap-608	70	69	work	work	NOUN
ap-608	70	70	-	-	PUNCT
ap-608	70	71	of	of	ADP
ap-608	70	72	-	-	PUNCT
ap-608	70	73	fracture	fracture	NOUN
ap-608	70	74	method	method	NOUN
ap-608	70	75	does	do	VERB
ap-608	70	76	not	not	PART
ap-608	70	77	)	)	PUNCT
ap-608	70	78	.	.	PUNCT
ap-608	71	1	this	this	DET
ap-608	71	2	conclusion	conclusion	NOUN
ap-608	71	3	is	be	AUX
ap-608	71	4	not	not	PART
ap-608	71	5	surprising	surprising	ADJ
ap-608	71	6	in	in	ADP
ap-608	71	7	the	the	DET
ap-608	71	8	light	light	NOUN
ap-608	71	9	of	of	ADP
ap-608	71	10	abundant	abundant	ADJ
ap-608	71	11	experimental	experimental	ADJ
ap-608	71	12	data	datum	NOUN
ap-608	71	13	revealing	reveal	VERB
ap-608	71	14	that	that	SCONJ
ap-608	71	15	gf	gf	PROPN
ap-608	71	16	is	be	AUX
ap-608	71	17	statistically	statistically	ADV
ap-608	71	18	much	much	ADV
ap-608	71	19	more	more	ADV
ap-608	71	20	variable	variable	ADJ
ap-608	71	21	than	than	ADP
ap-608	71	22	gf	gf	PROPN
ap-608	71	23	(	(	PUNCT
ap-608	71	24	bažant	bažant	NOUN
ap-608	71	25	and	and	CCONJ
ap-608	71	26	becq	becq	NOUN
ap-608	71	27	-	-	PUNCT
ap-608	71	28	giraudon	giraudon	ADJ
ap-608	71	29	2002	2002	NUM
ap-608	71	30	,	,	PUNCT
ap-608	71	31	bažant	bažant	PROPN
ap-608	71	32	,	,	PUNCT
ap-608	71	33	yu	yu	PROPN
ap-608	71	34	and	and	CCONJ
ap-608	71	35	zi	zi	NOUN
ap-608	71	36	2002	2002	NUM
ap-608	71	37	)	)	PUNCT
ap-608	71	38	.	.	PUNCT
ap-608	72	1	jirásek	jirásek	PROPN
ap-608	72	2	(	(	PUNCT
ap-608	72	3	2003	2003	NUM
ap-608	72	4	)	)	PUNCT
ap-608	72	5	showed	show	VERB
ap-608	72	6	that	that	SCONJ
ap-608	72	7	hu	hu	PROPN
ap-608	72	8	and	and	CCONJ
ap-608	72	9	wittmann	wittmann	PROPN
ap-608	72	10	’s	’s	PART
ap-608	72	11	data	datum	NOUN
ap-608	72	12	can	can	AUX
ap-608	72	13	be	be	AUX
ap-608	72	14	matched	match	VERB
ap-608	72	15	by	by	ADP
ap-608	72	16	a	a	DET
ap-608	72	17	nonlocal	nonlocal	ADJ
ap-608	72	18	continuum	continuum	ADJ
ap-608	72	19	damage	damage	NOUN
ap-608	72	20	model	model	NOUN
ap-608	72	21	in	in	ADP
ap-608	72	22	which	which	PRON
ap-608	72	23	the	the	DET
ap-608	72	24	characteristic	characteristic	ADJ
ap-608	72	25	softening	softening	NOUN
ap-608	72	26	curve	curve	NOUN
ap-608	72	27	is	be	AUX
ap-608	72	28	kept	keep	VERB
ap-608	72	29	fixed	fix	VERB
ap-608	72	30	.	.	PUNCT
ap-608	73	1	consequently	consequently	ADV
ap-608	73	2	the	the	DET
ap-608	73	3	nonlocal	nonlocal	ADJ
ap-608	73	4	model	model	NOUN
ap-608	73	5	is	be	AUX
ap-608	73	6	a	a	DET
ap-608	73	7	more	more	ADV
ap-608	73	8	general	general	ADJ
ap-608	73	9	,	,	PUNCT
ap-608	73	10	and	and	CCONJ
ap-608	73	11	thus	thus	ADV
ap-608	73	12	more	more	ADV
ap-608	73	13	fundamental	fundamental	ADJ
ap-608	73	14	,	,	PUNCT
ap-608	73	15	characterization	characterization	NOUN
ap-608	73	16	of	of	ADP
ap-608	73	17	fracture	fracture	NOUN
ap-608	73	18	than	than	ADP
ap-608	73	19	the	the	DET
ap-608	73	20	cohesive	cohesive	ADJ
ap-608	73	21	(	(	PUNCT
ap-608	73	22	or	or	CCONJ
ap-608	73	23	fictitious	fictitious	ADJ
ap-608	73	24	)	)	PUNCT
ap-608	73	25	crack	crack	NOUN
ap-608	73	26	model	model	NOUN
ap-608	73	27	.	.	PUNCT
ap-608	74	1	this	this	DET
ap-608	74	2	finding	finding	NOUN
ap-608	74	3	should	should	AUX
ap-608	74	4	be	be	AUX
ap-608	74	5	taken	take	VERB
ap-608	74	6	into	into	ADP
ap-608	74	7	account	account	NOUN
ap-608	74	8	in	in	ADP
ap-608	74	9	fracture	fracture	PROPN
ap-608	74	10	testing	testing	NOUN
ap-608	74	11	.	.	PUNCT
ap-608	75	1	it	it	PRON
ap-608	75	2	appears	appear	VERB
ap-608	75	3	that	that	SCONJ
ap-608	75	4	gf	gf	PROPN
ap-608	75	5	would	would	AUX
ap-608	75	6	better	well	ADV
ap-608	75	7	be	be	AUX
ap-608	75	8	defined	define	VERB
ap-608	75	9	by	by	ADP
ap-608	75	10	the	the	DET
ap-608	75	11	area	area	NOUN
ap-608	75	12	under	under	ADP
ap-608	75	13	the	the	DET
ap-608	75	14	softening	soften	VERB
ap-608	75	15	curve	curve	NOUN
ap-608	75	16	of	of	ADP
ap-608	75	17	the	the	DET
ap-608	75	18	nonlocal	nonlocal	ADJ
ap-608	75	19	model	model	NOUN
ap-608	75	20	,	,	PUNCT
ap-608	75	21	multiplied	multiply	VERB
ap-608	75	22	by	by	ADP
ap-608	75	23	the	the	DET
ap-608	75	24	characteristic	characteristic	ADJ
ap-608	75	25	length	length	NOUN
ap-608	75	26	of	of	ADP
ap-608	75	27	material	material	NOUN
ap-608	75	28	corresponding	correspond	VERB
ap-608	75	29	to	to	ADP
ap-608	75	30	the	the	DET
ap-608	75	31	effective	effective	ADJ
ap-608	75	32	width	width	NOUN
ap-608	75	33	of	of	ADP
ap-608	75	34	fpz	fpz	PROPN
ap-608	75	35	,	,	PUNCT
ap-608	75	36	which	which	PRON
ap-608	75	37	equals	equal	VERB
ap-608	75	38	the	the	DET
ap-608	75	39	minimum	minimum	ADJ
ap-608	75	40	possible	possible	ADJ
ap-608	75	41	spacing	spacing	NOUN
ap-608	75	42	of	of	ADP
ap-608	75	43	parallel	parallel	ADJ
ap-608	75	44	cracks	crack	NOUN
ap-608	75	45	(	(	PUNCT
ap-608	75	46	bažant	bažant	NOUN
ap-608	75	47	1985	1985	NUM
ap-608	75	48	,	,	PUNCT
ap-608	75	49	bažant	bažant	NOUN
ap-608	75	50	and	and	CCONJ
ap-608	75	51	jirásek	jirásek	NOUN
ap-608	75	52	2002	2002	NUM
ap-608	75	53	)	)	PUNCT
ap-608	75	54	,	,	PUNCT
ap-608	75	55	to	to	PART
ap-608	75	56	be	be	AUX
ap-608	75	57	distinguished	distinguish	VERB
ap-608	75	58	from	from	ADP
ap-608	75	59	l	l	NOUN
ap-608	75	60	eg	eg	NOUN
ap-608	75	61	ff	ff	PROPN
ap-608	75	62	t0	t0	PROPN
ap-608	75	63	2	2	NUM
ap-608	75	64	�	�	PROPN
ap-608	75	65	�	�	PROPN
ap-608	75	66	.	.	PUNCT
ap-608	76	1	3	3	NUM
ap-608	76	2	universal	universal	ADJ
ap-608	76	3	size	size	NOUN
ap-608	76	4	effect	effect	NOUN
ap-608	76	5	law	law	NOUN
ap-608	76	6	as	as	SCONJ
ap-608	76	7	is	be	AUX
ap-608	76	8	now	now	ADV
ap-608	76	9	well	well	ADV
ap-608	76	10	known	know	VERB
ap-608	76	11	,	,	PUNCT
ap-608	76	12	the	the	DET
ap-608	76	13	size	size	NOUN
ap-608	76	14	effect	effect	NOUN
ap-608	76	15	for	for	ADP
ap-608	76	16	crack	crack	VERB
ap-608	76	17	initiation	initiation	NOUN
ap-608	76	18	from	from	ADP
ap-608	76	19	a	a	DET
ap-608	76	20	smooth	smooth	ADJ
ap-608	76	21	surface	surface	NOUN
ap-608	76	22	(	(	PUNCT
ap-608	76	23	a0	a0	PROPN
ap-608	76	24	�	�	PROPN
ap-608	76	25	0	0	NUM
ap-608	76	26	)	)	PUNCT
ap-608	76	27	is	be	AUX
ap-608	76	28	very	very	ADV
ap-608	76	29	different	different	ADJ
ap-608	76	30	from	from	ADP
ap-608	76	31	the	the	DET
ap-608	76	32	size	size	NOUN
ap-608	76	33	effect	effect	NOUN
ap-608	76	34	for	for	ADP
ap-608	76	35	large	large	ADJ
ap-608	76	36	notches	notch	NOUN
ap-608	76	37	or	or	CCONJ
ap-608	76	38	large	large	ADJ
ap-608	76	39	stress	stress	NOUN
ap-608	76	40	-	-	PUNCT
ap-608	76	41	free	free	ADJ
ap-608	76	42	(	(	PUNCT
ap-608	76	43	fatigued	fatigued	ADJ
ap-608	76	44	)	)	PUNCT
ap-608	76	45	cracks	crack	NOUN
ap-608	76	46	at	at	ADP
ap-608	76	47	maximum	maximum	ADJ
ap-608	76	48	load	load	NOUN
ap-608	76	49	(	(	PUNCT
ap-608	76	50	a0	a0	NOUN
ap-608	76	51	/	/	SYM
ap-608	76	52	d	d	PROPN
ap-608	76	53	not	not	PART
ap-608	76	54	to	to	PART
ap-608	76	55	small	small	ADJ
ap-608	76	56	)	)	PUNCT
ap-608	76	57	.	.	PUNCT
ap-608	77	1	as	as	ADV
ap-608	77	2	far	far	ADV
ap-608	77	3	as	as	SCONJ
ap-608	77	4	the	the	DET
ap-608	77	5	mean	mean	ADJ
ap-608	77	6	nominal	nominal	ADJ
ap-608	77	7	strength	strength	NOUN
ap-608	77	8	of	of	ADP
ap-608	77	9	structure	structure	NOUN
ap-608	77	10	,	,	PUNCT
ap-608	77	11	�	�	PROPN
ap-608	77	12	n	n	CCONJ
ap-608	77	13	,	,	PUNCT
ap-608	77	14	is	be	AUX
ap-608	77	15	concerned	concern	VERB
ap-608	77	16	,	,	PUNCT
ap-608	77	17	the	the	DET
ap-608	77	18	former	former	ADJ
ap-608	77	19	is	be	AUX
ap-608	77	20	always	always	ADV
ap-608	77	21	energetic	energetic	ADJ
ap-608	77	22	(	(	PUNCT
ap-608	77	23	i.e.	i.e.	X
ap-608	77	24	,	,	PUNCT
ap-608	77	25	purely	purely	ADV
ap-608	77	26	deterministic	deterministic	ADJ
ap-608	77	27	)	)	PUNCT
ap-608	77	28	,	,	PUNCT
ap-608	77	29	while	while	SCONJ
ap-608	77	30	the	the	DET
ap-608	77	31	latter	latter	ADJ
ap-608	77	32	is	be	AUX
ap-608	77	33	purely	purely	ADV
ap-608	77	34	energetic	energetic	ADJ
ap-608	77	35	only	only	ADV
ap-608	77	36	for	for	ADP
ap-608	77	37	small	small	ADJ
ap-608	77	38	enough	enough	ADJ
ap-608	77	39	sizes	size	NOUN
ap-608	77	40	and	and	CCONJ
ap-608	77	41	becomes	become	VERB
ap-608	77	42	statistical	statistical	ADJ
ap-608	77	43	for	for	ADP
ap-608	77	44	large	large	ADJ
ap-608	77	45	enough	enough	ADJ
ap-608	77	46	sizes	size	NOUN
ap-608	77	47	.	.	PUNCT
ap-608	78	1	it	it	PRON
ap-608	78	2	is	be	AUX
ap-608	78	3	of	of	ADP
ap-608	78	4	interest	interest	NOUN
ap-608	78	5	to	to	PART
ap-608	78	6	find	find	VERB
ap-608	78	7	a	a	DET
ap-608	78	8	universal	universal	ADJ
ap-608	78	9	size	size	NOUN
ap-608	78	10	effect	effect	NOUN
ap-608	78	11	law	law	NOUN
ap-608	78	12	that	that	PRON
ap-608	78	13	includes	include	VERB
ap-608	78	14	both	both	PRON
ap-608	78	15	of	of	ADP
ap-608	78	16	these	these	DET
ap-608	78	17	size	size	NOUN
ap-608	78	18	effects	effect	NOUN
ap-608	78	19	and	and	CCONJ
ap-608	78	20	spans	span	VERB
ap-608	78	21	the	the	DET
ap-608	78	22	transition	transition	NOUN
ap-608	78	23	between	between	ADP
ap-608	78	24	them	they	PRON
ap-608	78	25	.	.	PUNCT
ap-608	79	1	a	a	DET
ap-608	79	2	formula	formula	NOUN
ap-608	79	3	for	for	ADP
ap-608	79	4	this	this	DET
ap-608	79	5	purpose	purpose	NOUN
ap-608	79	6	was	be	AUX
ap-608	79	7	proposed	propose	VERB
ap-608	79	8	in	in	ADP
ap-608	79	9	bažant	bažant	NOUN
ap-608	79	10	and	and	CCONJ
ap-608	79	11	li	li	PROPN
ap-608	79	12	(	(	PUNCT
ap-608	79	13	1996	1996	NUM
ap-608	79	14	)	)	PUNCT
ap-608	79	15	(	(	PUNCT
ap-608	79	16	also	also	ADV
ap-608	79	17	bažant	bažant	ADJ
ap-608	79	18	and	and	CCONJ
ap-608	79	19	chen	chen	PROPN
ap-608	79	20	1997	1997	NUM
ap-608	79	21	,	,	PUNCT
ap-608	79	22	bažant	bažant	ADJ
ap-608	79	23	2002b	2002b	NUM
ap-608	79	24	)	)	PUNCT
ap-608	79	25	.	.	PUNCT
ap-608	80	1	however	however	ADV
ap-608	80	2	,	,	PUNCT
ap-608	80	3	that	that	DET
ap-608	80	4	formula	formula	NOUN
ap-608	80	5	was	be	AUX
ap-608	80	6	not	not	PART
ap-608	80	7	smooth	smooth	ADJ
ap-608	80	8	and	and	CCONJ
ap-608	80	9	did	do	AUX
ap-608	80	10	not	not	PART
ap-608	80	11	include	include	VERB
ap-608	80	12	the	the	DET
ap-608	80	13	statistical	statistical	ADJ
ap-608	80	14	(	(	PUNCT
ap-608	80	15	weibull	weibull	PROPN
ap-608	80	16	)	)	PUNCT
ap-608	80	17	part	part	NOUN
ap-608	80	18	for	for	ADP
ap-608	80	19	crack	crack	NOUN
ap-608	80	20	initiation	initiation	NOUN
ap-608	80	21	failures	failure	NOUN
ap-608	80	22	.	.	PUNCT
ap-608	81	1	©	©	PROPN
ap-608	81	2	czech	czech	PROPN
ap-608	81	3	technical	technical	PROPN
ap-608	81	4	university	university	PROPN
ap-608	81	5	publishing	publishing	NOUN
ap-608	81	6	house	house	NOUN
ap-608	81	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-608	81	8	9	9	NUM
ap-608	81	9	acta	acta	PROPN
ap-608	81	10	polytechnica	polytechnica	PROPN
ap-608	81	11	vol	vol	NOUN
ap-608	81	12	.	.	PROPN
ap-608	82	1	44	44	NUM
ap-608	82	2	no	no	NOUN
ap-608	82	3	.	.	PUNCT
ap-608	83	1	5–6/2004	5–6/2004	NUM
ap-608	83	2	lo	lo	NUM
ap-608	83	3	g	g	PROPN
ap-608	83	4	�	�	PROPN
ap-608	84	1	n	n	CCONJ
ap-608	84	2	log	log	VERB
ap-608	84	3	d	d	PROPN
ap-608	84	4	0	0	NUM
ap-608	84	5	0.4	0.4	NUM
ap-608	84	6	0.85	0.85	NUM
ap-608	84	7	-5	-5	NOUN
ap-608	84	8	0	0	NUM
ap-608	84	9	0	0	NUM
ap-608	85	1	-3	-3	INTJ
ap-608	86	1	-6	-6	INTJ
ap-608	86	2	lo	lo	NOUN
ap-608	86	3	g	g	PROPN
ap-608	86	4	n	n	ADV
ap-608	86	5	log	log	VERB
ap-608	87	1	d	d	PROPN
ap-608	87	2	0	0	NUM
ap-608	87	3	0.4	0.4	NUM
ap-608	87	4	0.85	0.85	NUM
ap-608	87	5	-5	-5	NOUN
ap-608	87	6	0	0	NUM
ap-608	87	7	0	0	NUM
ap-608	88	1	-3	-3	INTJ
ap-608	89	1	-6	-6	INTJ
ap-608	89	2	lo	lo	INTJ
ap-608	90	1	g	g	PROPN
ap-608	90	2	n	n	PROPN
ap-608	90	3	/f	/f	SYM
ap-608	90	4	t	t	PROPN
ap-608	90	5	'	'	PUNCT
ap-608	90	6	log	log	NOUN
ap-608	90	7	d	d	PROPN
ap-608	90	8	�	�	PROPN
ap-608	90	9	0	0	NUM
ap-608	90	10	0.4	0.4	NUM
ap-608	90	11	0.85	0.85	NUM
ap-608	90	12	-5	-5	NOUN
ap-608	90	13	0	0	NUM
ap-608	90	14	0	0	NUM
ap-608	91	1	-3	-3	INTJ
ap-608	92	1	-6	-6	INTJ
ap-608	92	2	lo	lo	NUM
ap-608	92	3	g	g	PROPN
ap-608	92	4	�	�	PROPN
ap-608	92	5	n	n	CCONJ
ap-608	92	6	/f	/f	SYM
ap-608	92	7	t	t	PROPN
ap-608	92	8	'	'	PUNCT
ap-608	92	9	log	log	NOUN
ap-608	92	10	d	d	PROPN
ap-608	92	11	�	�	PROPN
ap-608	92	12	0	0	NUM
ap-608	92	13	0.4	0.4	NUM
ap-608	92	14	0.85	0.85	NUM
ap-608	92	15	-5	-5	NOUN
ap-608	92	16	0	0	NUM
ap-608	92	17	0	0	NUM
ap-608	93	1	-3	-3	NUM
ap-608	93	2	-6	-6	PROPN
ap-608	93	3	a	a	X
ap-608	93	4	)	)	PUNCT
ap-608	93	5	b	b	NOUN
ap-608	93	6	)	)	PUNCT
ap-608	93	7	log	log	NOUN
ap-608	94	1	d	d	X
ap-608	94	2	lo	lo	PROPN
ap-608	94	3	g	g	PROPN
ap-608	94	4	n	n	PROPN
ap-608	94	5	0	0	NUM
ap-608	94	6	-0.8	-0.8	NUM
ap-608	94	7	0	0	NUM
ap-608	94	8	-	-	SYM
ap-608	94	9	1	1	NUM
ap-608	94	10	-1	-1	NOUN
ap-608	94	11	-2	-2	INTJ
ap-608	94	12	�	�	PROPN
ap-608	94	13	=	=	NOUN
ap-608	94	14	0.01	0.01	NUM
ap-608	94	15	�	�	PROPN
ap-608	94	16	=	=	SYM
ap-608	94	17	0.06	0.06	NUM
ap-608	94	18	�	�	NOUN
ap-608	94	19	=	=	SYM
ap-608	94	20	0.3	0.3	NUM
ap-608	94	21	usel	usel	PROPN
ap-608	94	22	duan	duan	PROPN
ap-608	94	23	&	&	CCONJ
ap-608	94	24	hu	hu	PROPN
ap-608	95	1	log	log	PROPN
ap-608	95	2	d	d	PROPN
ap-608	95	3	lo	lo	PROPN
ap-608	95	4	g	g	PROPN
ap-608	95	5	�	�	PROPN
ap-608	95	6	�	�	PROPN
ap-608	95	7	n	n	PROPN
ap-608	95	8	0	0	NUM
ap-608	96	1	-1	-1	NUM
ap-608	96	2	-2	-2	NOUN
ap-608	96	3	0	0	NUM
ap-608	96	4	-	-	SYM
ap-608	96	5	2	2	NUM
ap-608	96	6	-2	-2	NOUN
ap-608	96	7	0	0	NUM
ap-608	96	8	0.02	0.02	NUM
ap-608	96	9	0.06	0.06	NUM
ap-608	96	10	0.1	0.1	NUM
ap-608	96	11	0.2	0.2	NUM
ap-608	96	12	0.3	0.3	NUM
ap-608	96	13	0.4	0.4	NUM
ap-608	96	14	0.5	0.5	NUM
ap-608	96	15	0.6	0.6	NUM
ap-608	96	16	0.7	0.7	NUM
ap-608	96	17	0.8	0.8	NUM
ap-608	96	18	universal	universal	ADJ
ap-608	96	19	size	size	NOUN
ap-608	96	20	effect	effect	NOUN
ap-608	96	21	law	law	NOUN
ap-608	96	22	(	(	PUNCT
ap-608	96	23	usel	usel	NOUN
ap-608	96	24	)	)	PUNCT
ap-608	96	25	�	�	PROPN
ap-608	96	26	c	c	NOUN
ap-608	96	27	)	)	PUNCT
ap-608	96	28	log	log	NOUN
ap-608	96	29	�	�	PROPN
ap-608	96	30	lo	lo	PROPN
ap-608	96	31	g	g	PROPN
ap-608	96	32	n	n	ADV
ap-608	96	33	0.1	0.1	NUM
ap-608	96	34	1	1	NUM
ap-608	96	35	1	1	NUM
ap-608	96	36	0.2	0.2	NUM
ap-608	96	37	usel	usel	PROPN
ap-608	96	38	duan	duan	PROPN
ap-608	96	39	&	&	CCONJ
ap-608	96	40	hu	hu	PROPN
ap-608	96	41	�	�	PROPN
ap-608	97	1	d	d	PROPN
ap-608	97	2	/	/	SYM
ap-608	97	3	a	a	DET
ap-608	97	4	0.9	0.9	NUM
ap-608	97	5	1.8	1.8	NUM
ap-608	97	6	3.0	3.0	NUM
ap-608	97	7	e)d	e)d	SYM
ap-608	97	8	)	)	PUNCT
ap-608	97	9	fig	fig	NOUN
ap-608	97	10	.	.	PUNCT
ap-608	98	1	3	3	NUM
ap-608	98	2	:	:	PUNCT
ap-608	98	3	(	(	PUNCT
ap-608	98	4	a	a	DET
ap-608	98	5	,	,	PUNCT
ap-608	98	6	b	b	NOUN
ap-608	98	7	)	)	PUNCT
ap-608	98	8	improved	improve	VERB
ap-608	98	9	universal	universal	ADJ
ap-608	98	10	size	size	NOUN
ap-608	98	11	effect	effect	NOUN
ap-608	98	12	law	law	NOUN
ap-608	98	13	usel	usel	NOUN
ap-608	98	14	(	(	PUNCT
ap-608	98	15	left	leave	VERB
ap-608	98	16	–	–	PUNCT
ap-608	98	17	without	without	ADP
ap-608	98	18	,	,	PUNCT
ap-608	98	19	right	right	ADJ
ap-608	98	20	–	–	PUNCT
ap-608	98	21	with	with	ADP
ap-608	98	22	weibull	weibull	PROPN
ap-608	98	23	statistics	statistic	NOUN
ap-608	98	24	)	)	PUNCT
ap-608	98	25	,	,	PUNCT
ap-608	98	26	and	and	CCONJ
ap-608	98	27	(	(	PUNCT
ap-608	98	28	c	c	X
ap-608	98	29	,	,	PUNCT
ap-608	98	30	d	d	NOUN
ap-608	98	31	,	,	PUNCT
ap-608	98	32	e	e	NOUN
ap-608	98	33	)	)	PUNCT
ap-608	98	34	profiles	profile	NOUN
ap-608	98	35	obtained	obtain	VERB
ap-608	98	36	from	from	ADP
ap-608	98	37	usel	usel	NOUN
ap-608	98	38	,	,	PUNCT
ap-608	98	39	compared	compare	VERB
ap-608	98	40	to	to	ADP
ap-608	98	41	duan	duan	PROPN
ap-608	98	42	and	and	CCONJ
ap-608	98	43	hu	hu	PROPN
ap-608	98	44	’s	’s	PART
ap-608	98	45	(	(	PUNCT
ap-608	98	46	2003	2003	NUM
ap-608	98	47	)	)	PUNCT
ap-608	98	48	approximation	approximation	NOUN
ap-608	98	49	�	�	PROPN
ap-608	98	50	�	�	PROPN
ap-608	99	1	n	n	CCONJ
ap-608	99	2	f	f	PROPN
ap-608	100	1	f	f	PROPN
ap-608	100	2	f	f	PROPN
ap-608	100	3	ke	ke	NOUN
ap-608	100	4	g	g	PROPN
ap-608	100	5	g	g	PROPN
ap-608	100	6	c	c	PROPN
ap-608	100	7	g	g	PROPN
ap-608	100	8	d	d	PROPN
ap-608	100	9	rc	rc	PROPN
ap-608	100	10	g	g	PROPN
ap-608	101	1	e	e	PROPN
ap-608	101	2	l	l	PROPN
ap-608	101	3	d	d	X
ap-608	101	4	g	g	PROPN
ap-608	101	5	�	�	PROPN
ap-608	101	6	�	�	PROPN
ap-608	101	7	�	�	PROPN
ap-608	101	8	�	�	PROPN
ap-608	101	9	�	�	PROPN
ap-608	101	10	�	�	PROPN
ap-608	101	11	�	�	PROPN
ap-608	101	12	�	�	PROPN
ap-608	101	13	�	�	PROPN
ap-608	101	14	�	�	PROPN
ap-608	101	15	�	�	PROPN
ap-608	101	16	�	�	PROPN
ap-608	101	17	�	�	PROPN
ap-608	101	18	�	�	PROPN
ap-608	101	19	0	0	NUM
ap-608	101	20	0	0	NUM
ap-608	101	21	1	1	NUM
ap-608	101	22	2	2	NUM
ap-608	101	23	2	2	NUM
ap-608	101	24	0	0	NUM
ap-608	101	25	0	0	NUM
ap-608	101	26	1	1	NUM
ap-608	101	27	4	4	NUM
ap-608	101	28	2	2	NUM
ap-608	101	29	(	(	PUNCT
ap-608	101	30	)	)	PUNCT
ap-608	101	31	(	(	PUNCT
ap-608	101	32	0	0	NUM
ap-608	101	33	0	0	NUM
ap-608	101	34	1	1	NUM
ap-608	101	35	0	0	NUM
ap-608	101	36	0	0	NUM
ap-608	101	37	1	1	NUM
ap-608	101	38	2	2	NUM
ap-608	101	39	d	d	NOUN
ap-608	101	40	g	g	NOUN
ap-608	101	41	c	c	NOUN
ap-608	101	42	e	e	NOUN
ap-608	101	43	g	g	NOUN
ap-608	102	1	g	g	PROPN
ap-608	102	2	c	c	PROPN
ap-608	102	3	g	g	PROPN
ap-608	102	4	d	d	PROPN
ap-608	102	5	l	l	NOUN
ap-608	102	6	lf	lf	ADP
ap-608	102	7	r	r	PROPN
ap-608	102	8	n	n	NOUN
ap-608	102	9	f	f	PROPN
ap-608	102	10	f	f	PROPN
ap-608	102	11	s	s	PROPN
ap-608	102	12	�	�	PROPN
ap-608	102	13	�	�	PROPN
ap-608	102	14	�	�	PROPN
ap-608	102	15	�	�	PROPN
ap-608	102	16	�	�	PROPN
ap-608	102	17	�	�	PROPN
ap-608	102	18	�	�	PROPN
ap-608	102	19	�	�	PROPN
ap-608	102	20	�	�	PROPN
ap-608	102	21	�	�	PROPN
ap-608	102	22	�	�	PROPN
ap-608	102	23	�	�	PROPN
ap-608	102	24	�	�	PROPN
ap-608	102	25	�	�	PROPN
ap-608	102	26	�	�	PROPN
ap-608	102	27	�	�	PROPN
ap-608	102	28	�	�	PROPN
ap-608	102	29	�	�	PROPN
ap-608	102	30	)	)	PUNCT
ap-608	102	31	�	�	PROPN
ap-608	102	32	s	s	PART
ap-608	102	33	a	a	PRON
ap-608	102	34	d	d	X
ap-608	102	35	rn	rn	PROPN
ap-608	102	36	m	m	PROPN
ap-608	102	37	f	f	PROPN
ap-608	102	38	k	k	PROPN
ap-608	102	39	de	de	PROPN
ap-608	102	40	rc	rc	PROPN
ap-608	102	41	g	g	PROPN
ap-608	102	42	e	e	PROPN
ap-608	102	43	l	l	PROPN
ap-608	103	1	d	d	X
ap-608	103	2	g	g	X
ap-608	103	3	d	d	X
ap-608	103	4	g	g	PROPN
ap-608	103	5	�	�	PROPN
ap-608	103	6	�	�	PROPN
ap-608	103	7	�	�	PROPN
ap-608	103	8	�	�	PROPN
ap-608	103	9	�	�	PROPN
ap-608	103	10	�	�	PROPN
ap-608	103	11	�	�	PROPN
ap-608	103	12	�	�	PROPN
ap-608	103	13	�	�	PROPN
ap-608	103	14	�	�	PROPN
ap-608	103	15	�	�	PROPN
ap-608	103	16	�	�	PROPN
ap-608	103	17	�	�	PROPN
ap-608	103	18	�	�	PROPN
ap-608	103	19	(	(	PUNCT
ap-608	103	20	)	)	PUNCT
ap-608	103	21	(	(	PUNCT
ap-608	103	22	)	)	PUNCT
ap-608	103	23	(	(	PUNCT
ap-608	103	24	0	0	NUM
ap-608	103	25	2	2	NUM
ap-608	103	26	22	22	NUM
ap-608	103	27	0	0	NUM
ap-608	103	28	0	0	NUM
ap-608	103	29	04	04	NUM
ap-608	103	30	�	�	PROPN
ap-608	103	31	0	0	NUM
ap-608	103	32	cf	cf	NOUN
ap-608	103	33	)	)	PUNCT
ap-608	103	34	�	�	PROPN
ap-608	103	35	�	�	PROPN
ap-608	103	36	�	�	PROPN
ap-608	103	37	�	�	PROPN
ap-608	103	38	�	�	PROPN
ap-608	103	39	�	�	PROPN
ap-608	103	40	�	�	PROPN
ap-608	103	41	�	�	PROPN
ap-608	103	42	�	�	PROPN
ap-608	103	43	a	a	DET
ap-608	103	44	better	well	ADJ
ap-608	103	45	formula	formula	NOUN
ap-608	103	46	has	have	AUX
ap-608	103	47	now	now	ADV
ap-608	103	48	been	be	AUX
ap-608	103	49	obtained;	obtained;	PRON
ap-608	103	50	see	see	VERB
ap-608	103	51	figs	fig	NOUN
ap-608	103	52	.	.	PUNCT
ap-608	104	1	3	3	NUM
ap-608	104	2	,	,	PUNCT
ap-608	104	3	the	the	DET
ap-608	104	4	left	left	ADJ
ap-608	104	5	(	(	PUNCT
ap-608	104	6	fig	fig	NOUN
ap-608	104	7	.	.	PUNCT
ap-608	105	1	3a	3a	NUM
ap-608	105	2	)	)	PUNCT
ap-608	105	3	without	without	ADP
ap-608	105	4	,	,	PUNCT
ap-608	105	5	and	and	CCONJ
ap-608	105	6	the	the	DET
ap-608	105	7	right	right	NOUN
ap-608	105	8	(	(	PUNCT
ap-608	105	9	fig	fig	NOUN
ap-608	105	10	.	.	PUNCT
ap-608	106	1	3b	3b	NUM
ap-608	106	2	)	)	PUNCT
ap-608	106	3	with	with	ADP
ap-608	106	4	,	,	PUNCT
ap-608	106	5	the	the	DET
ap-608	106	6	statistical	statistical	ADJ
ap-608	106	7	(	(	PUNCT
ap-608	106	8	weibull	weibull	PROPN
ap-608	106	9	)	)	PUNCT
ap-608	106	10	part	part	NOUN
ap-608	106	11	,	,	PUNCT
ap-608	106	12	in	in	ADP
ap-608	106	13	which	which	PRON
ap-608	106	14	�	�	PROPN
ap-608	106	15	�	�	PROPN
ap-608	106	16	e	e	X
ap-608	106	17	effective	effective	ADJ
ap-608	106	18	young	young	ADJ
ap-608	106	19	modulus;	modulus;	PROPN
ap-608	106	20	�	�	PROPN
ap-608	106	21	�	�	PROPN
ap-608	106	22	ft	ft	PROPN
ap-608	106	23	local	local	ADJ
ap-608	106	24	tensile	tensile	NOUN
ap-608	106	25	strength	strength	NOUN
ap-608	106	26	of	of	ADP
ap-608	106	27	material;	material;	ADJ
ap-608	106	28	g0	g0	PROPN
ap-608	106	29	,	,	PUNCT
ap-608	106	30	�	�	PROPN
ap-608	106	31	g0	g0	PROPN
ap-608	106	32	,	,	PUNCT
ap-608	106	33	�	�	PROPN
ap-608	106	34	�	�	PROPN
ap-608	106	35	g0	g0	PROPN
ap-608	106	36	are	be	AUX
ap-608	106	37	values	value	NOUN
ap-608	106	38	of	of	ADP
ap-608	106	39	dimensionless	dimensionless	NOUN
ap-608	106	40	energy	energy	NOUN
ap-608	106	41	release	release	NOUN
ap-608	106	42	function	function	NOUN
ap-608	106	43	g	g	PROPN
ap-608	106	44	(	(	PUNCT
ap-608	106	45	�	�	PROPN
ap-608	106	46	)	)	PUNCT
ap-608	106	47	and	and	CCONJ
ap-608	106	48	its	its	PRON
ap-608	106	49	derivatives	derivative	NOUN
ap-608	106	50	at	at	ADP
ap-608	106	51	�	�	PROPN
ap-608	106	52	0	0	NUM
ap-608	106	53	0	0	NUM
ap-608	106	54	�	�	PROPN
ap-608	106	55	a	a	DET
ap-608	106	56	d	d	NOUN
ap-608	106	57	;	;	NOUN
ap-608	106	58	l	l	NOUN
ap-608	106	59	e	e	NOUN
ap-608	106	60	g	g	NOUN
ap-608	106	61	ff	ff	NUM
ap-608	106	62	t0	t0	PROPN
ap-608	106	63	2	2	NUM
ap-608	106	64	�	�	PROPN
ap-608	106	65	�	�	PROPN
ap-608	106	66	�	�	PROPN
ap-608	106	67	�	�	PROPN
ap-608	106	68	irwin	irwin	PROPN
ap-608	106	69	’s	’s	PART
ap-608	106	70	characteristic	characteristic	ADJ
ap-608	106	71	length	length	NOUN
ap-608	106	72	(	(	PUNCT
ap-608	106	73	corresponding	correspond	VERB
ap-608	106	74	to	to	ADP
ap-608	106	75	the	the	DET
ap-608	106	76	initial	initial	ADJ
ap-608	106	77	fracture	fracture	NOUN
ap-608	106	78	energy);	energy);	PROPN
ap-608	106	79	g	g	NOUN
ap-608	106	80	(	(	PUNCT
ap-608	106	81	�	�	NOUN
ap-608	106	82	)	)	PUNCT
ap-608	106	83	�	�	PROPN
ap-608	106	84	k2	k2	PROPN
ap-608	106	85	(	(	PUNCT
ap-608	106	86	�	�	PROPN
ap-608	106	87	)	)	PUNCT
ap-608	106	88	,	,	PUNCT
ap-608	106	89	k	k	X
ap-608	106	90	(	(	PUNCT
ap-608	106	91	�	�	PROPN
ap-608	106	92	)	)	PUNCT
ap-608	106	93	is	be	AUX
ap-608	106	94	the	the	DET
ap-608	106	95	dimensionless	dimensionless	ADJ
ap-608	106	96	stress	stress	NOUN
ap-608	106	97	intensity	intensity	NOUN
ap-608	106	98	factor;	factor;	NOUN
ap-608	106	99	m	m	PROPN
ap-608	106	100	�	�	PROPN
ap-608	106	101	weibull	weibull	PROPN
ap-608	106	102	modulus	modulus	NOUN
ap-608	106	103	of	of	ADP
ap-608	106	104	concrete	concrete	NOUN
ap-608	106	105	(	(	PUNCT
ap-608	106	106	about	about	ADV
ap-608	106	107	24	24	NUM
ap-608	106	108	)	)	PUNCT
ap-608	106	109	,	,	PUNCT
ap-608	106	110	n	n	NUM
ap-608	106	111	�	�	PROPN
ap-608	106	112	number	number	NOUN
ap-608	106	113	of	of	ADP
ap-608	106	114	dimensions	dimension	NOUN
ap-608	106	115	for	for	ADP
ap-608	106	116	scaling;	scaling;	NOUN
ap-608	106	117	r	r	NOUN
ap-608	106	118	,	,	PUNCT
ap-608	106	119	k	k	PROPN
ap-608	106	120	�	�	PROPN
ap-608	106	121	empirical	empirical	ADJ
ap-608	106	122	positive	positive	ADJ
ap-608	106	123	constants;	constants;	NOUN
ap-608	106	124	and	and	CCONJ
ap-608	106	125	cf	cf	NOUN
ap-608	106	126	�	�	PROPN
ap-608	106	127	constant	constant	ADJ
ap-608	106	128	(	(	PUNCT
ap-608	106	129	the	the	DET
ap-608	106	130	ratio	ratio	NOUN
ap-608	106	131	c	c	PROPN
ap-608	106	132	lf	lf	PROPN
ap-608	106	133	0	0	PROPN
ap-608	106	134	depends	depend	VERB
ap-608	106	135	on	on	ADP
ap-608	106	136	the	the	DET
ap-608	106	137	softening	soften	VERB
ap-608	106	138	curve	curve	NOUN
ap-608	106	139	shape	shape	NOUN
ap-608	106	140	,	,	PUNCT
ap-608	106	141	and	and	CCONJ
ap-608	106	142	c	c	PROPN
ap-608	106	143	lf	lf	ADP
ap-608	106	144	�	�	PROPN
ap-608	106	145	0	0	NUM
ap-608	106	146	2	2	NUM
ap-608	106	147	for	for	ADP
ap-608	106	148	triangular	triangular	NOUN
ap-608	106	149	softening	soften	VERB
ap-608	106	150	)	)	PUNCT
ap-608	106	151	.	.	PUNCT
ap-608	107	1	the	the	DET
ap-608	107	2	formulas	formula	NOUN
ap-608	107	3	in	in	ADP
ap-608	107	4	figs	fig	NOUN
ap-608	107	5	.	.	PUNCT
ap-608	108	1	3a	3a	NUM
ap-608	108	2	,	,	PUNCT
ap-608	108	3	b	b	PROPN
ap-608	108	4	were	be	AUX
ap-608	108	5	derived	derive	VERB
ap-608	108	6	by	by	ADP
ap-608	108	7	asymptotic	asymptotic	ADJ
ap-608	108	8	matching	matching	NOUN
ap-608	108	9	of	of	ADP
ap-608	108	10	6	6	NUM
ap-608	108	11	cases	case	NOUN
ap-608	108	12	:	:	PUNCT
ap-608	108	13	the	the	DET
ap-608	108	14	small	small	ADJ
ap-608	108	15	-	-	PUNCT
ap-608	108	16	size	size	NOUN
ap-608	108	17	and	and	CCONJ
ap-608	108	18	large	large	ADJ
ap-608	108	19	-	-	PUNCT
ap-608	108	20	size	size	NOUN
ap-608	108	21	asymptotic	asymptotic	ADJ
ap-608	108	22	behaviors	behavior	NOUN
ap-608	108	23	(	(	PUNCT
ap-608	108	24	first	first	ADJ
ap-608	108	25	two	two	NUM
ap-608	108	26	terms	term	NOUN
ap-608	108	27	of	of	ADP
ap-608	108	28	expansion	expansion	NOUN
ap-608	108	29	for	for	ADP
ap-608	108	30	each	each	PRON
ap-608	108	31	)	)	PUNCT
ap-608	108	32	,	,	PUNCT
ap-608	108	33	of	of	ADP
ap-608	108	34	the	the	DET
ap-608	108	35	large	large	ADJ
ap-608	108	36	-	-	PUNCT
ap-608	108	37	notch	notch	NOUN
ap-608	108	38	and	and	CCONJ
ap-608	108	39	vanishing	vanishing	ADJ
ap-608	108	40	-	-	PUNCT
ap-608	108	41	notch	notch	NOUN
ap-608	108	42	behaviors	behavior	NOUN
ap-608	108	43	,	,	PUNCT
ap-608	108	44	and	and	CCONJ
ap-608	108	45	of	of	ADP
ap-608	108	46	the	the	DET
ap-608	108	47	energetic	energetic	ADJ
ap-608	108	48	and	and	CCONJ
ap-608	108	49	statistical	statistical	ADJ
ap-608	108	50	parts	part	NOUN
ap-608	108	51	of	of	ADP
ap-608	108	52	size	size	NOUN
ap-608	108	53	effect	effect	NOUN
ap-608	108	54	.	.	PUNCT
ap-608	109	1	4	4	NUM
ap-608	109	2	can	can	AUX
ap-608	109	3	fracture	fracture	VERB
ap-608	109	4	energy	energy	NOUN
ap-608	109	5	be	be	AUX
ap-608	109	6	measured	measure	VERB
ap-608	109	7	on	on	ADP
ap-608	109	8	one	one	NUM
ap-608	109	9	-	-	PUNCT
ap-608	109	10	size	size	NOUN
ap-608	109	11	specimens	specimen	NOUN
ap-608	109	12	with	with	ADP
ap-608	109	13	different	different	ADJ
ap-608	109	14	notch	notch	ADJ
ap-608	109	15	lenghts	lenght	NOUN
ap-608	109	16	?	?	PUNCT
ap-608	110	1	the	the	DET
ap-608	110	2	fact	fact	NOUN
ap-608	110	3	that	that	SCONJ
ap-608	110	4	specimens	specimen	NOUN
ap-608	110	5	of	of	ADP
ap-608	110	6	different	different	ADJ
ap-608	110	7	sizes	size	NOUN
ap-608	110	8	are	be	AUX
ap-608	110	9	needed	need	VERB
ap-608	110	10	for	for	ADP
ap-608	110	11	the	the	DET
ap-608	110	12	size	size	NOUN
ap-608	110	13	effect	effect	NOUN
ap-608	110	14	method	method	NOUN
ap-608	110	15	of	of	ADP
ap-608	110	16	measuring	measure	VERB
ap-608	110	17	gf	gf	NOUN
ap-608	110	18	is	be	AUX
ap-608	110	19	considered	consider	VERB
ap-608	110	20	by	by	ADP
ap-608	110	21	some	some	PRON
ap-608	110	22	as	as	ADP
ap-608	110	23	a	a	DET
ap-608	110	24	disadvantage	disadvantage	NOUN
ap-608	110	25	.	.	PUNCT
ap-608	111	1	for	for	ADP
ap-608	111	2	this	this	DET
ap-608	111	3	reason	reason	NOUN
ap-608	111	4	,	,	PUNCT
ap-608	111	5	bažant	bažant	NOUN
ap-608	111	6	and	and	CCONJ
ap-608	111	7	kazemi	kazemi	PROPN
ap-608	111	8	(	(	PUNCT
ap-608	111	9	1990	1990	NUM
ap-608	111	10	)	)	PUNCT
ap-608	111	11	,	,	PUNCT
ap-608	111	12	bažant	bažant	NOUN
ap-608	111	13	and	and	CCONJ
ap-608	111	14	li	li	PROPN
ap-608	111	15	(	(	PUNCT
ap-608	111	16	1996	1996	NUM
ap-608	111	17	)	)	PUNCT
ap-608	111	18	and	and	CCONJ
ap-608	111	19	tang	tang	INTJ
ap-608	111	20	et	et	PROPN
ap-608	111	21	al	al	PROPN
ap-608	111	22	.	.	PROPN
ap-608	112	1	(	(	PUNCT
ap-608	112	2	1996	1996	NUM
ap-608	112	3	)	)	PUNCT
ap-608	112	4	generalized	generalize	VERB
ap-608	112	5	the	the	DET
ap-608	112	6	size	size	NOUN
ap-608	112	7	effect	effect	NOUN
ap-608	112	8	method	method	NOUN
ap-608	112	9	to	to	ADP
ap-608	112	10	dissimilar	dissimilar	ADJ
ap-608	112	11	specimens	specimen	NOUN
ap-608	112	12	,	,	PUNCT
ap-608	112	13	the	the	DET
ap-608	112	14	dissimilarity	dissimilarity	NOUN
ap-608	112	15	being	be	AUX
ap-608	112	16	caused	cause	VERB
ap-608	112	17	by	by	ADP
ap-608	112	18	the	the	DET
ap-608	112	19	use	use	NOUN
ap-608	112	20	of	of	ADP
ap-608	112	21	different	different	ADJ
ap-608	112	22	notch	notch	NOUN
ap-608	112	23	lengths	length	NOUN
ap-608	112	24	a0	a0	NOUN
ap-608	112	25	in	in	ADP
ap-608	112	26	specimens	specimen	NOUN
ap-608	112	27	of	of	ADP
ap-608	112	28	one	one	NUM
ap-608	112	29	size	size	NOUN
ap-608	112	30	.	.	PUNCT
ap-608	113	1	if	if	SCONJ
ap-608	113	2	the	the	DET
ap-608	113	3	random	random	ADJ
ap-608	113	4	scatter	scatter	NOUN
ap-608	113	5	of	of	ADP
ap-608	113	6	test	test	NOUN
ap-608	113	7	data	datum	NOUN
ap-608	113	8	were	be	AUX
ap-608	113	9	small	small	ADJ
ap-608	113	10	(	(	PUNCT
ap-608	113	11	coefficient	coefficient	NOUN
ap-608	113	12	of	of	ADP
ap-608	113	13	variation	variation	NOUN
ap-608	113	14	cov	cov	NOUN
ap-608	113	15	<	<	X
ap-608	113	16	4	4	NUM
ap-608	113	17	%	%	NOUN
ap-608	113	18	)	)	PUNCT
ap-608	113	19	,	,	PUNCT
ap-608	113	20	this	this	DET
ap-608	113	21	approach	approach	NOUN
ap-608	113	22	would	would	AUX
ap-608	113	23	work	work	VERB
ap-608	113	24	.	.	PUNCT
ap-608	114	1	however	however	ADV
ap-608	114	2	,	,	PUNCT
ap-608	114	3	for	for	ADP
ap-608	114	4	the	the	DET
ap-608	114	5	typical	typical	ADJ
ap-608	114	6	scatter	scatter	NOUN
ap-608	114	7	of	of	ADP
ap-608	114	8	maximum	maximum	ADJ
ap-608	114	9	loads	load	NOUN
ap-608	114	10	of	of	ADP
ap-608	114	11	concrete	concrete	ADJ
ap-608	114	12	specimens	specimen	NOUN
ap-608	114	13	(	(	PUNCT
ap-608	114	14	cov	cov	NOUN
ap-608	114	15	�	�	PROPN
ap-608	114	16	8	8	NUM
ap-608	114	17	%	%	NOUN
ap-608	114	18	)	)	PUNCT
ap-608	114	19	,	,	PUNCT
ap-608	114	20	the	the	DET
ap-608	114	21	range	range	NOUN
ap-608	114	22	of	of	ADP
ap-608	114	23	brittleness	brittleness	NOUN
ap-608	114	24	numbers	number	NOUN
ap-608	114	25	attainable	attainable	ADJ
ap-608	114	26	by	by	ADP
ap-608	114	27	variation	variation	NOUN
ap-608	114	28	of	of	ADP
ap-608	114	29	notch	notch	ADJ
ap-608	114	30	length	length	NOUN
ap-608	114	31	in	in	ADP
ap-608	114	32	a	a	DET
ap-608	114	33	specimen	speciman	NOUN
ap-608	114	34	of	of	ADP
ap-608	114	35	any	any	DET
ap-608	114	36	geometry	geometry	NOUN
ap-608	114	37	(	(	PUNCT
ap-608	114	38	about	about	ADV
ap-608	114	39	1:3	1:3	NUM
ap-608	114	40	,	,	PUNCT
ap-608	114	41	bažant	bažant	NOUN
ap-608	114	42	and	and	CCONJ
ap-608	114	43	li	li	PROPN
ap-608	114	44	1996	1996	NUM
ap-608	114	45	)	)	PUNCT
ap-608	114	46	does	do	AUX
ap-608	114	47	not	not	PART
ap-608	114	48	suffice	suffice	VERB
ap-608	114	49	to	to	PART
ap-608	114	50	get	get	VERB
ap-608	114	51	a	a	DET
ap-608	114	52	sharp	sharp	ADJ
ap-608	114	53	trend	trend	NOUN
ap-608	114	54	in	in	ADP
ap-608	114	55	size	size	NOUN
ap-608	114	56	effect	effect	NOUN
ap-608	114	57	regression	regression	NOUN
ap-608	114	58	of	of	ADP
ap-608	114	59	test	test	NOUN
ap-608	114	60	data	datum	NOUN
ap-608	114	61	,	,	PUNCT
ap-608	114	62	and	and	CCONJ
ap-608	114	63	thus	thus	ADV
ap-608	114	64	prevents	prevent	VERB
ap-608	114	65	determining	determine	VERB
ap-608	114	66	gf	gf	NOUN
ap-608	114	67	accurately	accurately	ADV
ap-608	114	68	.	.	PUNCT
ap-608	115	1	recently	recently	ADV
ap-608	115	2	,	,	PUNCT
ap-608	115	3	this	this	DET
ap-608	115	4	problem	problem	NOUN
ap-608	115	5	was	be	AUX
ap-608	115	6	considered	consider	VERB
ap-608	115	7	independently	independently	ADV
ap-608	115	8	by	by	ADP
ap-608	115	9	duan	duan	PROPN
ap-608	115	10	and	and	CCONJ
ap-608	115	11	hu	hu	PROPN
ap-608	115	12	(	(	PUNCT
ap-608	115	13	2003	2003	NUM
ap-608	115	14	)	)	PUNCT
ap-608	115	15	.	.	PUNCT
ap-608	116	1	they	they	PRON
ap-608	116	2	proposed	propose	VERB
ap-608	116	3	the	the	DET
ap-608	116	4	semi	semi	ADJ
ap-608	116	5	-	-	ADJ
ap-608	116	6	empirical	empirical	ADJ
ap-608	116	7	formula	formula	NOUN
ap-608	116	8	:	:	PUNCT
ap-608	116	9	�	�	PROPN
ap-608	116	10	�	�	PROPN
ap-608	116	11	n	n	PROPN
ap-608	116	12	a	a	DET
ap-608	116	13	a	a	DET
ap-608	116	14	�	�	PROPN
ap-608	116	15	�	�	PROPN
ap-608	116	16	�	�	PROPN
ap-608	116	17	�	�	PROPN
ap-608	116	18	�	�	PROPN
ap-608	116	19	�	�	PROPN
ap-608	116	20	�	�	PROPN
ap-608	116	21	�	�	PROPN
ap-608	116	22	�	�	PROPN
ap-608	116	23	0	0	NUM
ap-608	116	24	1	1	NUM
ap-608	116	25	2	2	NUM
ap-608	116	26	1	1	NUM
ap-608	116	27	*	*	NOUN
ap-608	116	28	,	,	PUNCT
ap-608	116	29	(	(	PUNCT
ap-608	116	30	6	6	NUM
ap-608	116	31	)	)	PUNCT
ap-608	116	32	where	where	SCONJ
ap-608	116	33	�	�	PROPN
ap-608	116	34	0	0	PROPN
ap-608	116	35	�	�	PROPN
ap-608	116	36	�	�	PROPN
ap-608	116	37	ft	ft	PROPN
ap-608	116	38	for	for	ADP
ap-608	116	39	small	small	ADJ
ap-608	116	40	3pb	3pb	NOUN
ap-608	116	41	specimens;	specimens;	NOUN
ap-608	116	42	a	a	DET
ap-608	116	43	�	�	PROPN
ap-608	116	44	*	*	PUNCT
ap-608	116	45	is	be	AUX
ap-608	116	46	a	a	DET
ap-608	116	47	certain	certain	ADJ
ap-608	116	48	constant;	constant;	NOUN
ap-608	116	49	and	and	CCONJ
ap-608	116	50	�	�	PROPN
ap-608	116	51	n	n	PART
ap-608	116	52	represents	represent	VERB
ap-608	116	53	the	the	DET
ap-608	116	54	maximum	maximum	ADJ
ap-608	116	55	tensile	tensile	NOUN
ap-608	116	56	stress	stress	NOUN
ap-608	116	57	in	in	ADP
ap-608	116	58	the	the	DET
ap-608	116	59	ligament	ligament	NOUN
ap-608	116	60	based	base	VERB
ap-608	116	61	on	on	ADP
ap-608	116	62	a	a	DET
ap-608	116	63	linear	linear	ADJ
ap-608	116	64	stress	stress	NOUN
ap-608	116	65	distribution	distribution	NOUN
ap-608	116	66	over	over	ADP
ap-608	116	67	the	the	DET
ap-608	116	68	ligament	ligament	NOUN
ap-608	116	69	,	,	PUNCT
ap-608	116	70	�	�	PROPN
ap-608	116	71	�	�	PROPN
ap-608	116	72	�	�	PROPN
ap-608	116	73	n	n	PROPN
ap-608	116	74	n	n	PROPN
ap-608	116	75	a	a	DET
ap-608	116	76	�	�	PROPN
ap-608	116	77	(	(	PUNCT
ap-608	116	78	)	)	PUNCT
ap-608	116	79	0	0	NUM
ap-608	116	80	.	.	PUNCT
ap-608	117	1	this	this	DET
ap-608	117	2	alternative	alternative	ADJ
ap-608	117	3	formula	formula	NOUN
ap-608	117	4	,	,	PUNCT
ap-608	117	5	intended	intend	VERB
ap-608	117	6	for	for	ADP
ap-608	117	7	specimens	specimen	NOUN
ap-608	117	8	of	of	ADP
ap-608	117	9	the	the	DET
ap-608	117	10	same	same	ADJ
ap-608	117	11	size	size	NOUN
ap-608	117	12	when	when	SCONJ
ap-608	117	13	the	the	DET
ap-608	117	14	notch	notch	ADJ
ap-608	117	15	length	length	NOUN
ap-608	117	16	a0	a0	NOUN
ap-608	117	17	is	be	AUX
ap-608	117	18	varied	varied	ADJ
ap-608	117	19	,	,	PUNCT
ap-608	117	20	in	in	ADP
ap-608	117	21	effect	effect	NOUN
ap-608	117	22	attempts	attempt	VERB
ap-608	117	23	to	to	PART
ap-608	117	24	replace	replace	VERB
ap-608	117	25	the	the	DET
ap-608	117	26	profile	profile	NOUN
ap-608	117	27	of	of	ADP
ap-608	117	28	the	the	DET
ap-608	117	29	universal	universal	ADJ
ap-608	117	30	size	size	NOUN
ap-608	117	31	effect	effect	NOUN
ap-608	117	32	law	law	NOUN
ap-608	117	33	(	(	PUNCT
ap-608	117	34	fig	fig	NOUN
ap-608	117	35	.	.	PUNCT
ap-608	118	1	3	3	NUM
ap-608	118	2	)	)	PUNCT
ap-608	118	3	at	at	ADP
ap-608	118	4	constant	constant	ADJ
ap-608	118	5	size	size	NOUN
ap-608	118	6	d	d	PROPN
ap-608	118	7	,	,	PUNCT
ap-608	118	8	scaled	scale	VERB
ap-608	118	9	by	by	ADP
ap-608	118	10	the	the	DET
ap-608	118	11	ratio	ratio	NOUN
ap-608	118	12	�	�	PROPN
ap-608	118	13	�	�	PROPN
ap-608	118	14	�	�	PROPN
ap-608	118	15	n	n	PROPN
ap-608	118	16	n	n	PROPN
ap-608	118	17	a	a	DET
ap-608	118	18	�	�	PROPN
ap-608	118	19	1	1	NUM
ap-608	118	20	0	0	NUM
ap-608	118	21	(	(	PUNCT
ap-608	118	22	)	)	PUNCT
ap-608	118	23	,	,	PUNCT
ap-608	118	24	where	where	SCONJ
ap-608	118	25	a	a	PRON
ap-608	118	26	(	(	PUNCT
ap-608	118	27	)	)	PUNCT
ap-608	118	28	�	�	SYM
ap-608	118	29	0	0	NUM
ap-608	118	30	depends	depend	VERB
ap-608	118	31	on	on	ADP
ap-608	118	32	specimen	speciman	NOUN
ap-608	118	33	geometry;	geometry;	X
ap-608	118	34	a	a	DET
ap-608	118	35	(	(	PUNCT
ap-608	118	36	)	)	PUNCT
ap-608	118	37	(	(	PUNCT
ap-608	118	38	)	)	PUNCT
ap-608	118	39	�	�	PROPN
ap-608	118	40	�	�	PROPN
ap-608	118	41	0	0	NUM
ap-608	118	42	0	0	NUM
ap-608	118	43	21	21	NUM
ap-608	118	44	�	�	PROPN
ap-608	118	45	�	�	PROPN
ap-608	118	46	for	for	ADP
ap-608	118	47	notched	notch	VERB
ap-608	118	48	three	three	NUM
ap-608	118	49	-	-	PUNCT
ap-608	118	50	point	point	NOUN
ap-608	118	51	bend	bend	NOUN
ap-608	118	52	beams	beam	NOUN
ap-608	118	53	.	.	PUNCT
ap-608	119	1	however	however	ADV
ap-608	119	2	,	,	PUNCT
ap-608	119	3	the	the	DET
ap-608	119	4	curve	curve	NOUN
ap-608	119	5	of	of	ADP
ap-608	119	6	the	the	DET
ap-608	119	7	proposed	propose	VERB
ap-608	119	8	formula	formula	NOUN
ap-608	119	9	has	have	AUX
ap-608	119	10	,	,	PUNCT
ap-608	119	11	for	for	ADP
ap-608	119	12	a0	a0	PROPN
ap-608	119	13	0	0	NUM
ap-608	119	14	�	�	PROPN
ap-608	119	15	,	,	PUNCT
ap-608	119	16	a	a	DET
ap-608	119	17	size	size	NOUN
ap-608	119	18	independent	independent	ADJ
ap-608	119	19	limit	limit	NOUN
ap-608	119	20	approached	approach	VERB
ap-608	119	21	,	,	PUNCT
ap-608	119	22	in	in	ADP
ap-608	119	23	log	log	NOUN
ap-608	119	24	a0	a0	NOUN
ap-608	119	25	scale	scale	NOUN
ap-608	119	26	,	,	PUNCT
ap-608	119	27	with	with	ADP
ap-608	119	28	a	a	DET
ap-608	119	29	horizontal	horizontal	ADJ
ap-608	119	30	asymptote	asymptote	NOUN
ap-608	119	31	,	,	PUNCT
ap-608	119	32	while	while	SCONJ
ap-608	119	33	the	the	DET
ap-608	119	34	correct	correct	ADJ
ap-608	119	35	curve	curve	NOUN
ap-608	119	36	,	,	PUNCT
ap-608	119	37	amply	amply	ADV
ap-608	119	38	justified	justify	VERB
ap-608	119	39	by	by	ADP
ap-608	119	40	tests	test	NOUN
ap-608	119	41	of	of	ADP
ap-608	119	42	modulus	modulus	NOUN
ap-608	119	43	of	of	ADP
ap-608	119	44	rupture	rupture	NOUN
ap-608	119	45	(	(	PUNCT
ap-608	119	46	flexural	flexural	ADJ
ap-608	119	47	strength	strength	NOUN
ap-608	119	48	)	)	PUNCT
ap-608	119	49	of	of	ADP
ap-608	119	50	unnotched	unnotched	ADJ
ap-608	119	51	beams	beam	NOUN
ap-608	119	52	(	(	PUNCT
ap-608	119	53	bažant	bažant	NOUN
ap-608	119	54	and	and	CCONJ
ap-608	119	55	li	li	PROPN
ap-608	119	56	1995	1995	NUM
ap-608	119	57	,	,	PUNCT
ap-608	119	58	bažant	bažant	NOUN
ap-608	119	59	1998	1998	NUM
ap-608	119	60	,	,	PUNCT
ap-608	119	61	2001	2001	NUM
ap-608	119	62	,	,	PUNCT
ap-608	119	63	2002b	2002b	NUM
ap-608	119	64	,	,	PUNCT
ap-608	119	65	bažant	bažant	NOUN
ap-608	119	66	and	and	CCONJ
ap-608	119	67	novák	novák	NOUN
ap-608	119	68	2000a	2000a	NOUN
ap-608	119	69	,	,	PUNCT
ap-608	119	70	b	b	X
ap-608	119	71	,	,	PUNCT
ap-608	119	72	c	c	NOUN
ap-608	119	73	)	)	PUNCT
ap-608	119	74	,	,	PUNCT
ap-608	119	75	terminates	terminate	VERB
ap-608	119	76	with	with	ADP
ap-608	119	77	a	a	DET
ap-608	119	78	steep	steep	ADJ
ap-608	119	79	slope	slope	NOUN
ap-608	119	80	for	for	ADP
ap-608	119	81	a0	a0	PROPN
ap-608	119	82	0	0	NUM
ap-608	119	83	�	�	PROPN
ap-608	119	84	and	and	CCONJ
ap-608	119	85	has	have	VERB
ap-608	119	86	a	a	DET
ap-608	119	87	size	size	NOUN
ap-608	119	88	dependent	dependent	ADJ
ap-608	119	89	limit	limit	NOUN
ap-608	119	90	,	,	PUNCT
ap-608	119	91	as	as	SCONJ
ap-608	119	92	seen	see	VERB
ap-608	119	93	in	in	ADP
ap-608	119	94	the	the	DET
ap-608	119	95	aforementioned	aforementioned	ADJ
ap-608	119	96	profiles	profile	NOUN
ap-608	119	97	in	in	ADP
ap-608	119	98	fig	fig	NOUN
ap-608	119	99	.	.	PUNCT
ap-608	120	1	3a	3a	NUM
ap-608	120	2	,	,	PUNCT
ap-608	120	3	b	b	NOUN
ap-608	120	4	,	,	PUNCT
ap-608	120	5	and	and	CCONJ
ap-608	120	6	better	well	ADV
ap-608	120	7	in	in	ADP
ap-608	120	8	fig	fig	NOUN
ap-608	120	9	.	.	PUNCT
ap-608	121	1	3c	3c	NUM
ap-608	121	2	.	.	PUNCT
ap-608	122	1	fig	fig	NOUN
ap-608	122	2	.	.	PUNCT
ap-608	123	1	3d	3d	NUM
ap-608	123	2	,	,	PUNCT
ap-608	123	3	e	e	PRON
ap-608	123	4	shows	show	VERB
ap-608	123	5	the	the	DET
ap-608	123	6	profiles	profile	NOUN
ap-608	123	7	in	in	ADP
ap-608	123	8	d	d	PROPN
ap-608	123	9	and	and	CCONJ
ap-608	123	10	in	in	ADP
ap-608	123	11	�	�	PROPN
ap-608	123	12	,	,	PUNCT
ap-608	123	13	and	and	CCONJ
ap-608	123	14	it	it	PRON
ap-608	123	15	is	be	AUX
ap-608	123	16	seen	see	VERB
ap-608	123	17	that	that	SCONJ
ap-608	123	18	they	they	PRON
ap-608	123	19	can	can	AUX
ap-608	123	20	not	not	PART
ap-608	123	21	be	be	AUX
ap-608	123	22	matched	match	VERB
ap-608	123	23	well	well	ADV
ap-608	123	24	by	by	ADP
ap-608	123	25	duan	duan	PROPN
ap-608	123	26	and	and	CCONJ
ap-608	123	27	hu	hu	PROPN
ap-608	123	28	’s	’s	PART
ap-608	123	29	approximation	approximation	NOUN
ap-608	123	30	converted	convert	VERB
ap-608	123	31	from	from	ADP
ap-608	123	32	�	�	PROPN
ap-608	123	33	n	n	CCONJ
ap-608	123	34	to	to	PART
ap-608	123	35	�	�	VERB
ap-608	123	36	n.	n.	VERB
ap-608	123	37	the	the	DET
ap-608	123	38	test	test	NOUN
ap-608	123	39	data	datum	NOUN
ap-608	123	40	on	on	ADP
ap-608	123	41	the	the	DET
ap-608	123	42	dependence	dependence	NOUN
ap-608	123	43	of	of	ADP
ap-608	123	44	�	�	PROPN
ap-608	123	45	n	n	PART
ap-608	123	46	on	on	ADP
ap-608	123	47	a0	a0	PROPN
ap-608	123	48	,	,	PUNCT
ap-608	123	49	which	which	PRON
ap-608	123	50	duan	duan	PROPN
ap-608	123	51	and	and	CCONJ
ap-608	123	52	hu	hu	PROPN
ap-608	123	53	fitted	fit	VERB
ap-608	123	54	by	by	ADP
ap-608	123	55	their	their	PRON
ap-608	123	56	formula	formula	NOUN
ap-608	123	57	,	,	PUNCT
ap-608	123	58	should	should	AUX
ap-608	123	59	better	well	ADV
ap-608	123	60	be	be	AUX
ap-608	123	61	fitted	fit	VERB
ap-608	123	62	with	with	ADP
ap-608	123	63	the	the	DET
ap-608	123	64	size	size	NOUN
ap-608	123	65	effect	effect	NOUN
ap-608	123	66	law	law	NOUN
ap-608	123	67	(	(	PUNCT
ap-608	123	68	bažant	bažant	NOUN
ap-608	123	69	and	and	CCONJ
ap-608	123	70	kazemi	kazemi	PROPN
ap-608	123	71	1990	1990	NUM
ap-608	123	72	,	,	PUNCT
ap-608	123	73	bažant	bažant	NOUN
ap-608	123	74	and	and	CCONJ
ap-608	123	75	planas	planas	PROPN
ap-608	123	76	1998	1998	NUM
ap-608	123	77	,	,	PUNCT
ap-608	123	78	and	and	CCONJ
ap-608	123	79	bažant	bažant	NOUN
ap-608	123	80	1997	1997	NUM
ap-608	123	81	,	,	PUNCT
ap-608	123	82	2002b	2002b	NUM
ap-608	123	83	):	):	PUNCT
ap-608	123	84	�	�	PROPN
ap-608	123	85	�	�	PROPN
ap-608	123	86	�	�	PROPN
ap-608	123	87	n	n	CCONJ
ap-608	123	88	n	n	PROPN
ap-608	123	89	a	a	DET
ap-608	123	90	�	�	PROPN
ap-608	123	91	(	(	PUNCT
ap-608	123	92	)	)	PUNCT
ap-608	123	93	0	0	NUM
ap-608	123	94	,	,	PUNCT
ap-608	123	95	�	�	PROPN
ap-608	123	96	�	�	PROPN
ap-608	123	97	�	�	PROPN
ap-608	123	98	n	n	CCONJ
ap-608	124	1	f	f	NOUN
ap-608	124	2	f	f	PROPN
ap-608	124	3	e	e	X
ap-608	124	4	g	g	PROPN
ap-608	124	5	g	g	PROPN
ap-608	124	6	c	c	PROPN
ap-608	124	7	g	g	PROPN
ap-608	124	8	d	d	PROPN
ap-608	124	9	�	�	PROPN
ap-608	124	10	�	�	PROPN
ap-608	124	11	�	�	PROPN
ap-608	124	12	�	�	PROPN
ap-608	124	13	(	(	PUNCT
ap-608	124	14	)	)	PUNCT
ap-608	124	15	(	(	PUNCT
ap-608	124	16	)	)	PUNCT
ap-608	124	17	0	0	NUM
ap-608	124	18	0	0	NUM
ap-608	124	19	,	,	PUNCT
ap-608	124	20	(	(	PUNCT
ap-608	124	21	7	7	NUM
ap-608	124	22	)	)	PUNCT
ap-608	124	23	in	in	ADP
ap-608	124	24	which	which	PRON
ap-608	124	25	d	d	NOUN
ap-608	124	26	is	be	AUX
ap-608	124	27	constant	constant	ADJ
ap-608	124	28	and	and	CCONJ
ap-608	124	29	�	�	PROPN
ap-608	124	30	0	0	NUM
ap-608	124	31	0	0	NUM
ap-608	124	32	�	�	PROPN
ap-608	124	33	a	a	DET
ap-608	124	34	d	d	NOUN
ap-608	124	35	is	be	AUX
ap-608	124	36	varied	varied	ADJ
ap-608	124	37	(	(	PUNCT
ap-608	124	38	and	and	CCONJ
ap-608	124	39	function	function	VERB
ap-608	124	40	g	g	PROPN
ap-608	124	41	(	(	PUNCT
ap-608	124	42	)	)	PUNCT
ap-608	124	43	�	�	SYM
ap-608	124	44	0	0	NUM
ap-608	124	45	is	be	AUX
ap-608	124	46	available	available	ADJ
ap-608	124	47	from	from	ADP
ap-608	124	48	handbooks	handbook	NOUN
ap-608	124	49	)	)	PUNCT
ap-608	124	50	.	.	PUNCT
ap-608	125	1	however	however	ADV
ap-608	125	2	,	,	PUNCT
ap-608	125	3	very	very	ADV
ap-608	125	4	short	short	ADJ
ap-608	125	5	or	or	CCONJ
ap-608	125	6	zero	zero	NUM
ap-608	125	7	notches	notch	NOUN
ap-608	125	8	(	(	PUNCT
ap-608	125	9	a0	a0	NOUN
ap-608	125	10	<	<	X
ap-608	125	11	0.15	0.15	NUM
ap-608	125	12	d	d	NOUN
ap-608	125	13	)	)	PUNCT
ap-608	125	14	must	must	AUX
ap-608	125	15	be	be	AUX
ap-608	125	16	excluded	exclude	VERB
ap-608	125	17	,	,	PUNCT
ap-608	125	18	which	which	PRON
ap-608	125	19	means	mean	VERB
ap-608	125	20	that	that	SCONJ
ap-608	125	21	the	the	DET
ap-608	125	22	value	value	NOUN
ap-608	125	23	of	of	ADP
ap-608	125	24	strength	strength	NOUN
ap-608	125	25	�	�	PROPN
ap-608	125	26	ft	ft	PUNCT
ap-608	125	27	can	can	AUX
ap-608	125	28	not	not	PART
ap-608	125	29	be	be	AUX
ap-608	125	30	used	use	VERB
ap-608	125	31	with	with	ADP
ap-608	125	32	duan	duan	PROPN
ap-608	125	33	and	and	CCONJ
ap-608	125	34	hu	hu	PROPN
ap-608	125	35	’s	’s	PART
ap-608	125	36	approach	approach	NOUN
ap-608	125	37	.	.	PUNCT
ap-608	126	1	to	to	PART
ap-608	126	2	use	use	VERB
ap-608	126	3	it	it	PRON
ap-608	126	4	,	,	PUNCT
ap-608	126	5	it	it	PRON
ap-608	126	6	is	be	AUX
ap-608	126	7	necessary	necessary	ADJ
ap-608	126	8	to	to	PART
ap-608	126	9	adopt	adopt	VERB
ap-608	126	10	either	either	CCONJ
ap-608	126	11	the	the	DET
ap-608	126	12	approach	approach	NOUN
ap-608	126	13	of	of	ADP
ap-608	126	14	guinea	guinea	PROPN
ap-608	126	15	et	et	PROPN
ap-608	126	16	al	al	PROPN
ap-608	126	17	.	.	PROPN
ap-608	127	1	(	(	PUNCT
ap-608	127	2	1994a	1994a	NUM
ap-608	127	3	,	,	PUNCT
ap-608	127	4	b	b	NOUN
ap-608	127	5	)	)	PUNCT
ap-608	127	6	or	or	CCONJ
ap-608	127	7	the	the	DET
ap-608	127	8	zero	zero	NUM
ap-608	127	9	brittleness	brittleness	NOUN
ap-608	127	10	method	method	NOUN
ap-608	127	11	(	(	PUNCT
ap-608	127	12	bažant	bažant	PROPN
ap-608	127	13	,	,	PUNCT
ap-608	127	14	yu	yu	PROPN
ap-608	127	15	and	and	CCONJ
ap-608	127	16	zi	zi	NOUN
ap-608	127	17	2002	2002	NUM
ap-608	127	18	)	)	PUNCT
ap-608	127	19	.	.	PUNCT
ap-608	128	1	5	5	NUM
ap-608	128	2	size	size	NOUN
ap-608	128	3	effect	effect	NOUN
ap-608	128	4	of	of	ADP
ap-608	128	5	finite	finite	ADJ
ap-608	128	6	-	-	ADJ
ap-608	128	7	angle	angle	NOUN
ap-608	128	8	notches	notch	NOUN
ap-608	128	9	in	in	ADP
ap-608	128	10	elastic	elastic	ADJ
ap-608	128	11	bodies	body	NOUN
ap-608	128	12	,	,	PUNCT
ap-608	128	13	a	a	DET
ap-608	128	14	sharp	sharp	ADJ
ap-608	128	15	notch	notch	NOUN
ap-608	128	16	of	of	ADP
ap-608	128	17	a	a	DET
ap-608	128	18	finite	finite	ADJ
ap-608	128	19	angle	angle	NOUN
ap-608	128	20	(	(	PUNCT
ap-608	128	21	fig	fig	NOUN
ap-608	128	22	.	.	PUNCT
ap-608	129	1	4	4	X
ap-608	129	2	)	)	PUNCT
ap-608	129	3	causes	cause	VERB
ap-608	129	4	stress	stress	ADJ
ap-608	129	5	singularity	singularity	NOUN
ap-608	129	6	�	�	PROPN
ap-608	129	7	�	�	PROPN
ap-608	129	8	�	�	PROPN
ap-608	129	9	�	�	PROPN
ap-608	129	10	r	r	NOUN
ap-608	129	11	1	1	NUM
ap-608	129	12	that	that	PRON
ap-608	129	13	is	be	AUX
ap-608	129	14	weaker	weak	ADJ
ap-608	129	15	than	than	ADP
ap-608	129	16	the	the	DET
ap-608	129	17	crack	crack	NOUN
ap-608	129	18	singularity	singularity	NOUN
ap-608	129	19	(	(	PUNCT
ap-608	129	20	�	�	X
ap-608	129	21	>	>	X
ap-608	129	22	0.5	0.5	NUM
ap-608	129	23	)	)	PUNCT
ap-608	129	24	and	and	CCONJ
ap-608	129	25	is	be	AUX
ap-608	129	26	given	give	VERB
ap-608	129	27	by	by	ADP
ap-608	129	28	williams	williams	PROPN
ap-608	129	29	’	'	PUNCT
ap-608	129	30	(	(	PUNCT
ap-608	129	31	1952	1952	NUM
ap-608	129	32	)	)	PUNCT
ap-608	129	33	formulas	formula	NOUN
ap-608	129	34	(	(	PUNCT
ap-608	129	35	a)–(e	a)–(e	X
ap-608	129	36	)	)	PUNCT
ap-608	129	37	shown	show	VERB
ap-608	129	38	in	in	ADP
ap-608	129	39	fig	fig	NOUN
ap-608	129	40	.	.	PUNCT
ap-608	130	1	4	4	NUM
ap-608	130	2	,	,	PUNCT
ap-608	130	3	in	in	ADP
ap-608	130	4	which	which	PRON
ap-608	130	5	r	r	NOUN
ap-608	130	6	,	,	PUNCT
ap-608	130	7	�	�	PROPN
ap-608	130	8	�	�	PROPN
ap-608	130	9	polar	polar	ADJ
ap-608	130	10	coordinates	coordinate	NOUN
ap-608	130	11	,	,	PUNCT
ap-608	130	12	�	�	PROPN
ap-608	130	13	rr	rr	PROPN
ap-608	130	14	,	,	PUNCT
ap-608	130	15	�	�	PROPN
ap-608	130	16	�	�	PROPN
ap-608	130	17	�	�	PROPN
ap-608	130	18	,	,	PUNCT
ap-608	130	19	�	�	PROPN
ap-608	130	20	r	r	NOUN
ap-608	130	21	�	�	PROPN
ap-608	130	22	�	�	PROPN
ap-608	130	23	near	near	ADP
ap-608	130	24	-	-	PUNCT
ap-608	130	25	tip	tip	NOUN
ap-608	130	26	stresses	stress	NOUN
ap-608	130	27	.	.	PUNCT
ap-608	131	1	if	if	SCONJ
ap-608	131	2	the	the	DET
ap-608	131	3	structure	structure	NOUN
ap-608	131	4	has	have	VERB
ap-608	131	5	a	a	DET
ap-608	131	6	positive	positive	ADJ
ap-608	131	7	geometry	geometry	NOUN
ap-608	131	8	,	,	PUNCT
ap-608	131	9	it	it	PRON
ap-608	131	10	will	will	AUX
ap-608	131	11	fail	fail	VERB
ap-608	131	12	as	as	ADV
ap-608	131	13	soon	soon	ADV
ap-608	131	14	as	as	SCONJ
ap-608	131	15	an	an	DET
ap-608	131	16	fpz	fpz	NOUN
ap-608	131	17	of	of	ADP
ap-608	131	18	a	a	DET
ap-608	131	19	certain	certain	ADJ
ap-608	131	20	characteristic	characteristic	ADJ
ap-608	131	21	length	length	NOUN
ap-608	131	22	2cf	2cf	NOUN
ap-608	131	23	is	be	AUX
ap-608	131	24	fully	fully	ADV
ap-608	131	25	formed	form	VERB
ap-608	131	26	at	at	ADP
ap-608	131	27	the	the	DET
ap-608	131	28	notch	notch	ADJ
ap-608	131	29	tip	tip	NOUN
ap-608	131	30	.	.	PUNCT
ap-608	132	1	in	in	ADP
ap-608	132	2	the	the	DET
ap-608	132	3	limit	limit	NOUN
ap-608	132	4	of	of	ADP
ap-608	132	5	d	d	PROPN
ap-608	132	6	�	�	PROPN
ap-608	132	7	�	�	PROPN
ap-608	132	8	,	,	PUNCT
ap-608	132	9	the	the	DET
ap-608	132	10	structure	structure	NOUN
ap-608	132	11	will	will	AUX
ap-608	132	12	fail	fail	VERB
ap-608	132	13	as	as	ADV
ap-608	132	14	soon	soon	ADV
ap-608	132	15	as	as	SCONJ
ap-608	132	16	a	a	DET
ap-608	132	17	crack	crack	NOUN
ap-608	132	18	can	can	AUX
ap-608	132	19	start	start	VERB
ap-608	132	20	propagating	propagate	VERB
ap-608	132	21	from	from	ADP
ap-608	132	22	the	the	DET
ap-608	132	23	notch	notch	ADJ
ap-608	132	24	tip	tip	NOUN
ap-608	132	25	,	,	PUNCT
ap-608	132	26	which	which	PRON
ap-608	132	27	requires	require	VERB
ap-608	132	28	a	a	DET
ap-608	132	29	certain	certain	ADJ
ap-608	132	30	critical	critical	ADJ
ap-608	132	31	energy	energy	NOUN
ap-608	132	32	release	release	NOUN
ap-608	132	33	rate	rate	NOUN
ap-608	132	34	equal	equal	ADJ
ap-608	132	35	to	to	ADP
ap-608	132	36	gf	gf	PROPN
ap-608	132	37	.	.	PUNCT
ap-608	133	1	experiments	experiment	NOUN
ap-608	133	2	show	show	VERB
ap-608	133	3	that	that	SCONJ
ap-608	133	4	the	the	DET
ap-608	133	5	load	load	NOUN
ap-608	133	6	(	(	PUNCT
ap-608	133	7	or	or	CCONJ
ap-608	133	8	nominal	nominal	ADJ
ap-608	133	9	stress	stress	NOUN
ap-608	133	10	�	�	PROPN
ap-608	133	11	n	n	CCONJ
ap-608	133	12	)	)	PUNCT
ap-608	133	13	at	at	ADP
ap-608	133	14	which	which	PRON
ap-608	133	15	this	this	PRON
ap-608	133	16	occurs	occur	VERB
ap-608	133	17	increases	increase	NOUN
ap-608	133	18	with	with	ADP
ap-608	133	19	angle	angle	NOUN
ap-608	133	20	.	.	PUNCT
ap-608	134	1	in	in	ADP
ap-608	134	2	previous	previous	ADJ
ap-608	134	3	studies	study	NOUN
ap-608	134	4	(	(	PUNCT
ap-608	134	5	e.g.	e.g.	ADV
ap-608	134	6	,	,	PUNCT
ap-608	134	7	carpinteri	carpinteri	NOUN
ap-608	134	8	1987	1987	NUM
ap-608	134	9	,	,	PUNCT
ap-608	134	10	dunn	dunn	PROPN
ap-608	134	11	et	et	PROPN
ap-608	134	12	al	al	PROPN
ap-608	134	13	.	.	PROPN
ap-608	134	14	1997a	1997a	NUM
ap-608	134	15	,	,	PUNCT
ap-608	134	16	b	b	NOUN
ap-608	134	17	)	)	PUNCT
ap-608	134	18	,	,	PUNCT
ap-608	134	19	some	some	DET
ap-608	134	20	arguments	argument	NOUN
ap-608	134	21	in	in	ADP
ap-608	134	22	terms	term	NOUN
ap-608	134	23	of	of	ADP
ap-608	134	24	a	a	DET
ap-608	134	25	non	non	ADJ
ap-608	134	26	-	-	ADJ
ap-608	134	27	standard	standard	ADJ
ap-608	134	28	‘	'	PUNCT
ap-608	134	29	stress	stress	ADJ
ap-608	134	30	intensity	intensity	NOUN
ap-608	134	31	factor	factor	NOUN
ap-608	134	32	’	'	PUNCT
ap-608	134	33	k	k	NOUN
ap-608	134	34	corresponding	correspond	VERB
ap-608	134	35	to	to	ADP
ap-608	134	36	singularity	singularity	NOUN
ap-608	134	37	exponent	exponent	NOUN
ap-608	134	38	1	1	NUM
ap-608	134	39	�	�	PROPN
ap-608	134	40	�	�	PROPN
ap-608	134	41	<	<	X
ap-608	134	42	0.5	0.5	NUM
ap-608	134	43	were	be	AUX
ap-608	134	44	used	use	VERB
ap-608	134	45	to	to	PART
ap-608	134	46	propose	propose	VERB
ap-608	134	47	that	that	SCONJ
ap-608	134	48	the	the	DET
ap-608	134	49	nominal	nominal	ADJ
ap-608	134	50	stress	stress	NOUN
ap-608	134	51	�	�	PROPN
ap-608	134	52	�	�	PROPN
ap-608	134	53	n	n	CCONJ
ap-608	134	54	d	d	PROPN
ap-608	134	55	�	�	PROPN
ap-608	134	56	�	�	PROPN
ap-608	134	57	1	1	NUM
ap-608	134	58	.	.	PUNCT
ap-608	135	1	a	a	DET
ap-608	135	2	notch	notch	NOUN
ap-608	135	3	of	of	ADP
ap-608	135	4	finite	finite	ADJ
ap-608	135	5	angle	angle	NOUN
ap-608	135	6	can	can	AUX
ap-608	135	7	not	not	PART
ap-608	135	8	propagate	propagate	VERB
ap-608	135	9	.	.	PUNCT
ap-608	136	1	so	so	ADV
ap-608	136	2	,	,	PUNCT
ap-608	136	3	a	a	DET
ap-608	136	4	realistic	realistic	ADJ
ap-608	136	5	approach	approach	NOUN
ap-608	136	6	requires	require	VERB
ap-608	136	7	considering	consider	VERB
ap-608	136	8	that	that	SCONJ
ap-608	136	9	a	a	DET
ap-608	136	10	cohesive	cohesive	ADJ
ap-608	136	11	crack	crack	NOUN
ap-608	136	12	must	must	AUX
ap-608	136	13	propagate	propagate	VERB
ap-608	136	14	from	from	ADP
ap-608	136	15	the	the	DET
ap-608	136	16	notch	notch	ADJ
ap-608	136	17	tip	tip	NOUN
ap-608	136	18	(	(	PUNCT
ap-608	136	19	fig	fig	NOUN
ap-608	136	20	.	.	PUNCT
ap-608	136	21	4	4	NUM
ap-608	136	22	left	left	ADJ
ap-608	136	23	)	)	PUNCT
ap-608	136	24	.	.	PUNCT
ap-608	137	1	circular	circular	ADJ
ap-608	137	2	bodies	body	NOUN
ap-608	137	3	with	with	ADP
ap-608	137	4	notches	notch	NOUN
ap-608	137	5	of	of	ADP
ap-608	137	6	various	various	ADJ
ap-608	137	7	angles	angle	NOUN
ap-608	137	8	2	2	NUM
ap-608	137	9	(	(	PUNCT
ap-608	137	10	and	and	CCONJ
ap-608	137	11	ligament	ligament	NOUN
ap-608	137	12	dimension	dimension	NOUN
ap-608	137	13	d	d	PROPN
ap-608	137	14	,	,	PUNCT
ap-608	137	15	fig	fig	NOUN
ap-608	137	16	.	.	PUNCT
ap-608	137	17	4a	4a	NOUN
ap-608	137	18	)	)	PUNCT
ap-608	137	19	were	be	AUX
ap-608	137	20	simulated	simulate	VERB
ap-608	137	21	by	by	ADP
ap-608	137	22	finite	finite	ADJ
ap-608	137	23	elements	element	NOUN
ap-608	137	24	with	with	ADP
ap-608	137	25	a	a	DET
ap-608	137	26	mesh	mesh	NOUN
ap-608	137	27	progressively	progressively	ADV
ap-608	137	28	refined	refine	VERB
ap-608	137	29	as	as	SCONJ
ap-608	137	30	r	r	PROPN
ap-608	137	31	�	�	PROPN
ap-608	137	32	0	0	PUNCT
ap-608	137	33	(	(	PUNCT
ap-608	137	34	the	the	DET
ap-608	137	35	first	first	ADJ
ap-608	137	36	and	and	CCONJ
ap-608	137	37	second	second	ADJ
ap-608	137	38	rings	ring	NOUN
ap-608	137	39	of	of	ADP
ap-608	137	40	elements	element	NOUN
ap-608	137	41	were	be	AUX
ap-608	137	42	bounded	bound	VERB
ap-608	137	43	by	by	ADP
ap-608	137	44	r	r	PROPN
ap-608	137	45	d	d	PROPN
ap-608	137	46	�	�	PROPN
ap-608	137	47	6000	6000	NUM
ap-608	137	48	and	and	CCONJ
ap-608	137	49	d	d	NOUN
ap-608	137	50	3000	3000	NUM
ap-608	137	51	)	)	PUNCT
ap-608	137	52	.	.	PUNCT
ap-608	138	1	the	the	DET
ap-608	138	2	circular	circular	ADJ
ap-608	138	3	boundary	boundary	NOUN
ap-608	138	4	was	be	AUX
ap-608	138	5	loaded	load	VERB
ap-608	138	6	by	by	ADP
ap-608	138	7	normal	normal	ADJ
ap-608	138	8	and	and	CCONJ
ap-608	138	9	tangential	tangential	ADJ
ap-608	138	10	surface	surface	NOUN
ap-608	138	11	tractions	traction	NOUN
ap-608	138	12	equal	equal	ADJ
ap-608	138	13	to	to	ADP
ap-608	138	14	stresses	stress	NOUN
ap-608	138	15	�	�	PROPN
ap-608	138	16	rr	rr	PROPN
ap-608	138	17	and	and	CCONJ
ap-608	138	18	�	�	PROPN
ap-608	138	19	r	r	NOUN
ap-608	138	20	�	�	PROPN
ap-608	138	21	taken	take	VERB
ap-608	138	22	from	from	ADP
ap-608	138	23	williams	williams	PROPN
ap-608	138	24	’	'	PUNCT
ap-608	138	25	symmetric	symmetric	ADJ
ap-608	138	26	(	(	PUNCT
ap-608	138	27	mode	mode	NOUN
ap-608	138	28	i	i	NOUN
ap-608	138	29	)	)	PUNCT
ap-608	138	30	solution;	solution;	PROPN
ap-608	138	31	p	p	PROPN
ap-608	138	32	�	�	PROPN
ap-608	138	33	load	load	NOUN
ap-608	138	34	parameter	parameter	NOUN
ap-608	138	35	representing	represent	VERB
ap-608	138	36	the	the	DET
ap-608	138	37	resultant	resultant	NOUN
ap-608	138	38	of	of	ADP
ap-608	138	39	these	these	DET
ap-608	138	40	tractions;	tractions;	PROPN
ap-608	138	41	and	and	CCONJ
ap-608	138	42	�	�	PROPN
ap-608	138	43	n	n	PART
ap-608	138	44	p	p	NOUN
ap-608	138	45	bd	bd	PROPN
ap-608	138	46	�	�	PROPN
ap-608	138	47	�	�	PROPN
ap-608	138	48	nominal	nominal	ADJ
ap-608	138	49	stress	stress	NOUN
ap-608	138	50	(	(	PUNCT
ap-608	138	51	b	b	PROPN
ap-608	138	52	�	�	PROPN
ap-608	138	53	1	1	NUM
ap-608	138	54	)	)	PUNCT
ap-608	138	55	.	.	PUNCT
ap-608	139	1	first	first	ADV
ap-608	139	2	,	,	PUNCT
ap-608	139	3	ligament	ligament	NOUN
ap-608	139	4	d	d	PROPN
ap-608	139	5	was	be	AUX
ap-608	139	6	considered	consider	VERB
ap-608	139	7	to	to	PART
ap-608	139	8	be	be	AUX
ap-608	139	9	so	so	ADV
ap-608	139	10	large	large	ADJ
ap-608	139	11	that	that	SCONJ
ap-608	139	12	the	the	DET
ap-608	139	13	length	length	NOUN
ap-608	139	14	of	of	ADP
ap-608	139	15	the	the	DET
ap-608	139	16	fpz	fpz	PROPN
ap-608	139	17	,	,	PUNCT
ap-608	139	18	lc	lc	PROPN
ap-608	139	19	,	,	PUNCT
ap-608	139	20	was	be	AUX
ap-608	139	21	less	less	ADJ
ap-608	139	22	than	than	ADP
ap-608	139	23	0.01	0.01	NUM
ap-608	139	24	d.	d.	NOUN
ap-608	139	25	in	in	ADP
ap-608	139	26	that	that	DET
ap-608	139	27	case	case	NOUN
ap-608	139	28	,	,	PUNCT
ap-608	139	29	the	the	DET
ap-608	139	30	angular	angular	ADJ
ap-608	139	31	distribution	distribution	NOUN
ap-608	139	32	of	of	ADP
ap-608	139	33	stresses	stress	NOUN
ap-608	139	34	along	along	ADP
ap-608	139	35	each	each	DET
ap-608	139	36	circle	circle	NOUN
ap-608	139	37	with	with	ADP
ap-608	139	38	r	r	PROPN
ap-608	139	39	d	d	PROPN
ap-608	139	40	�	�	PROPN
ap-608	139	41	01	01	NUM
ap-608	139	42	.	.	PUNCT
ap-608	139	43	ought	ought	AUX
ap-608	139	44	to	to	PART
ap-608	139	45	match	match	VERB
ap-608	139	46	williams	william	NOUN
ap-608	139	47	’	'	PUNCT
ap-608	139	48	functions	function	NOUN
ap-608	139	49	frr	frr	PROPN
ap-608	139	50	,	,	PUNCT
ap-608	139	51	fr	fr	PROPN
ap-608	139	52	�	�	PROPN
ap-608	139	53	,	,	PUNCT
ap-608	139	54	f	f	PROPN
ap-608	139	55	�	�	PROPN
ap-608	139	56	�	�	PROPN
ap-608	139	57	.	.	PUNCT
ap-608	140	1	indeed	indeed	ADV
ap-608	140	2	,	,	PUNCT
ap-608	140	3	the	the	DET
ap-608	140	4	numerical	numerical	ADJ
ap-608	140	5	results	result	NOUN
ap-608	140	6	could	could	AUX
ap-608	140	7	not	not	PART
ap-608	140	8	be	be	AUX
ap-608	140	9	visually	visually	ADV
ap-608	140	10	distinguished	distinguish	VERB
ap-608	140	11	from	from	ADP
ap-608	140	12	these	these	DET
ap-608	140	13	functions	function	NOUN
ap-608	140	14	.	.	PUNCT
ap-608	141	1	the	the	DET
ap-608	141	2	logarithmic	logarithmic	ADJ
ap-608	141	3	plots	plot	NOUN
ap-608	141	4	of	of	ADP
ap-608	141	5	the	the	DET
ap-608	141	6	calculated	calculate	VERB
ap-608	141	7	stress	stress	NOUN
ap-608	141	8	versus	versus	ADP
ap-608	141	9	r	r	NOUN
ap-608	141	10	for	for	ADP
ap-608	141	11	any	any	DET
ap-608	141	12	fixed	fix	VERB
ap-608	141	13	�	�	NOUN
ap-608	141	14	(	(	PUNCT
ap-608	141	15	and	and	CCONJ
ap-608	141	16	any	any	PRON
ap-608	141	17	)	)	PUNCT
ap-608	141	18	were	be	AUX
ap-608	141	19	straight	straight	ADJ
ap-608	141	20	lines	line	NOUN
ap-608	141	21	,	,	PUNCT
ap-608	141	22	and	and	CCONJ
ap-608	141	23	10	10	NUM
ap-608	141	24	©	©	PROPN
ap-608	141	25	czech	czech	PROPN
ap-608	141	26	technical	technical	PROPN
ap-608	141	27	university	university	PROPN
ap-608	141	28	publishing	publishing	NOUN
ap-608	141	29	house	house	NOUN
ap-608	141	30	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-608	141	31	acta	acta	PROPN
ap-608	141	32	polytechnica	polytechnica	PROPN
ap-608	141	33	vol	vol	NOUN
ap-608	141	34	.	.	PROPN
ap-608	142	1	44	44	NUM
ap-608	143	1	no	no	NOUN
ap-608	143	2	.	.	PUNCT
ap-608	144	1	5–6/2004	5–6/2004	NUM
ap-608	144	2	their	their	PRON
ap-608	144	3	slopes	slope	NOUN
ap-608	144	4	agreed	agree	VERB
ap-608	144	5	with	with	ADP
ap-608	144	6	the	the	DET
ap-608	144	7	exponent	exponent	PROPN
ap-608	144	8	�	�	PROPN
ap-608	144	9	�	�	PROPN
ap-608	144	10	1	1	NUM
ap-608	144	11	required	require	VERB
ap-608	144	12	by	by	ADP
ap-608	144	13	williams	williams	PROPN
ap-608	144	14	solution	solution	PROPN
ap-608	144	15	,	,	PUNCT
ap-608	144	16	see	see	VERB
ap-608	144	17	fig	fig	NOUN
ap-608	144	18	.	.	PUNCT
ap-608	145	1	4	4	NUM
ap-608	145	2	(	(	PUNCT
ap-608	145	3	right	right	NOUN
ap-608	145	4	)	)	PUNCT
ap-608	145	5	.	.	PUNCT
ap-608	146	1	thus	thus	ADV
ap-608	146	2	the	the	DET
ap-608	146	3	correctness	correctness	NOUN
ap-608	146	4	of	of	ADP
ap-608	146	5	the	the	DET
ap-608	146	6	cohesive	cohesive	ADJ
ap-608	146	7	finite	finite	PROPN
ap-608	146	8	element	element	NOUN
ap-608	146	9	simulation	simulation	NOUN
ap-608	146	10	was	be	AUX
ap-608	146	11	confirmed	confirm	VERB
ap-608	146	12	.	.	PUNCT
ap-608	147	1	from	from	ADP
ap-608	147	2	eqs	eqs	PROPN
ap-608	147	3	.	.	PUNCT
ap-608	148	1	(	(	PUNCT
ap-608	148	2	b	b	NOUN
ap-608	148	3	)	)	PUNCT
ap-608	148	4	,	,	PUNCT
ap-608	148	5	(	(	PUNCT
ap-608	148	6	f	f	X
ap-608	148	7	)	)	PUNCT
ap-608	148	8	and	and	CCONJ
ap-608	148	9	(	(	PUNCT
ap-608	148	10	g	g	NOUN
ap-608	148	11	)	)	PUNCT
ap-608	148	12	of	of	ADP
ap-608	148	13	williams	williams	PROPN
ap-608	148	14	’	'	PUNCT
ap-608	148	15	lefm	lefm	PROPN
ap-608	148	16	solution	solution	NOUN
ap-608	148	17	in	in	ADP
ap-608	148	18	fig	fig	NOUN
ap-608	148	19	.	.	PUNCT
ap-608	149	1	4	4	NUM
ap-608	149	2	,	,	PUNCT
ap-608	149	3	�	�	PROPN
ap-608	149	4	�	�	PROPN
ap-608	149	5	�	�	PROPN
ap-608	149	6	�	�	PROPN
ap-608	149	7	�	�	PROPN
ap-608	149	8	�	�	PROPN
ap-608	149	9	�	�	PROPN
ap-608	149	10	n	n	ADP
ap-608	149	11	r	r	NOUN
ap-608	149	12	d	d	X
ap-608	149	13	f	f	PROPN
ap-608	149	14	�	�	PROPN
ap-608	149	15	�	�	PROPN
ap-608	149	16	(	(	PUNCT
ap-608	149	17	)	)	PUNCT
ap-608	149	18	(	(	PUNCT
ap-608	149	19	)	)	PUNCT
ap-608	149	20	(	(	PUNCT
ap-608	149	21	,	,	PUNCT
ap-608	149	22	)	)	PUNCT
ap-608	149	23	1	1	NUM
ap-608	149	24	0	0	NUM
ap-608	149	25	.	.	PUNCT
ap-608	150	1	(	(	PUNCT
ap-608	150	2	8)	8)	NUM
ap-608	150	3	according	accord	VERB
ap-608	150	4	to	to	ADP
ap-608	150	5	the	the	DET
ap-608	150	6	equivalent	equivalent	ADJ
ap-608	150	7	lefm	lefm	PROPN
ap-608	150	8	approximation	approximation	NOUN
ap-608	150	9	of	of	ADP
ap-608	150	10	cohesive	cohesive	ADJ
ap-608	150	11	fracture	fracture	NOUN
ap-608	150	12	,	,	PUNCT
ap-608	150	13	�	�	PROPN
ap-608	150	14	�	�	PROPN
ap-608	150	15	�	�	PROPN
ap-608	150	16	for	for	ADP
ap-608	150	17	r	r	NOUN
ap-608	150	18	cf	cf	NOUN
ap-608	150	19	�	�	PROPN
ap-608	150	20	(	(	PUNCT
ap-608	150	21	the	the	DET
ap-608	150	22	middle	middle	NOUN
ap-608	150	23	of	of	ADP
ap-608	150	24	fpz	fpz	PROPN
ap-608	150	25	)	)	PUNCT
ap-608	150	26	,	,	PUNCT
ap-608	150	27	should	should	AUX
ap-608	150	28	be	be	AUX
ap-608	150	29	approximately	approximately	ADV
ap-608	150	30	equal	equal	ADJ
ap-608	150	31	to	to	ADP
ap-608	150	32	material	material	NOUN
ap-608	150	33	tensile	tensile	NOUN
ap-608	150	34	strength	strength	NOUN
ap-608	150	35	�	�	NOUN
ap-608	150	36	ft	ft	PROPN
ap-608	150	37	.	.	PUNCT
ap-608	151	1	this	this	DET
ap-608	151	2	condition	condition	NOUN
ap-608	151	3	yields	yield	NOUN
ap-608	151	4	,	,	PUNCT
ap-608	151	5	�	�	PROPN
ap-608	151	6	�	�	PROPN
ap-608	151	7	n	n	ADP
ap-608	151	8	t	t	PROPN
ap-608	151	9	rf	rf	NOUN
ap-608	151	10	d	d	PROPN
ap-608	151	11	h	h	PROPN
ap-608	151	12	�	�	PROPN
ap-608	151	13	�	�	PROPN
ap-608	151	14	�	�	PROPN
ap-608	151	15	(	(	PUNCT
ap-608	151	16	)	)	PUNCT
ap-608	151	17	(	(	PUNCT
ap-608	151	18	)	)	PUNCT
ap-608	151	19	1	1	NUM
ap-608	151	20	(	(	PUNCT
ap-608	151	21	9	9	NUM
ap-608	151	22	)	)	PUNCT
ap-608	151	23	h	h	NOUN
ap-608	151	24	c	c	NOUN
ap-608	151	25	f	f	NOUN
ap-608	151	26	r	r	NOUN
ap-608	151	27	f	f	PROPN
ap-608	151	28	�	�	PROPN
ap-608	151	29	�	�	PROPN
ap-608	151	30	�	�	PROPN
ap-608	151	31	�	�	PROPN
ap-608	151	32	�	�	PROPN
ap-608	151	33	�	�	PROPN
ap-608	151	34	�	�	PROPN
ap-608	151	35	�	�	PROPN
ap-608	151	36	�	�	PROPN
ap-608	151	37	(	(	PUNCT
ap-608	151	38	,	,	PUNCT
ap-608	151	39	)	)	PUNCT
ap-608	151	40	(	(	PUNCT
ap-608	151	41	)	)	PUNCT
ap-608	151	42	0	0	NUM
ap-608	151	43	(	(	PUNCT
ap-608	151	44	10	10	NUM
ap-608	151	45	)	)	PUNCT
ap-608	151	46	valid	valid	NOUN
ap-608	151	47	for	for	ADP
ap-608	151	48	d	d	PROPN
ap-608	151	49	l	l	X
ap-608	151	50	�	�	PROPN
ap-608	151	51	250	250	NUM
ap-608	151	52	0;	0;	NUM
ap-608	151	53	�	�	PROPN
ap-608	151	54	(	(	PUNCT
ap-608	151	55	)	)	PUNCT
ap-608	151	56	is	be	AUX
ap-608	151	57	the	the	DET
ap-608	151	58	�	�	PROPN
ap-608	151	59	value	value	NOUN
ap-608	151	60	for	for	ADP
ap-608	151	61	angle	angle	NOUN
ap-608	151	62	.	.	PUNCT
ap-608	152	1	to	to	PART
ap-608	152	2	check	check	VERB
ap-608	152	3	this	this	DET
ap-608	152	4	equation	equation	NOUN
ap-608	152	5	,	,	PUNCT
ap-608	152	6	geometrically	geometrically	ADV
ap-608	152	7	similar	similar	ADJ
ap-608	152	8	scaled	scale	VERB
ap-608	152	9	circular	circular	ADJ
ap-608	152	10	bodies	body	NOUN
ap-608	152	11	of	of	ADP
ap-608	152	12	different	different	ADJ
ap-608	152	13	ligament	ligament	NOUN
ap-608	152	14	dimensions	dimension	NOUN
ap-608	153	1	d	d	PROPN
ap-608	153	2	(	(	PUNCT
ap-608	153	3	fig	fig	NOUN
ap-608	153	4	.	.	PUNCT
ap-608	154	1	4	4	NUM
ap-608	154	2	)	)	PUNCT
ap-608	154	3	were	be	AUX
ap-608	154	4	analyzed	analyze	VERB
ap-608	154	5	by	by	ADP
ap-608	154	6	finite	finite	ADJ
ap-608	154	7	elements	element	NOUN
ap-608	154	8	for	for	ADP
ap-608	154	9	various	various	ADJ
ap-608	154	10	angles	angle	NOUN
ap-608	154	11	using	use	VERB
ap-608	154	12	the	the	DET
ap-608	154	13	same	same	ADJ
ap-608	154	14	linear	linear	NOUN
ap-608	154	15	softening	soften	VERB
ap-608	154	16	stress	stress	NOUN
ap-608	154	17	-	-	PUNCT
ap-608	154	18	separation	separation	NOUN
ap-608	154	19	diagram	diagram	NOUN
ap-608	154	20	of	of	ADP
ap-608	154	21	cohesive	cohesive	ADJ
ap-608	154	22	crack	crack	NOUN
ap-608	154	23	.	.	PUNCT
ap-608	155	1	the	the	DET
ap-608	155	2	©	©	PROPN
ap-608	155	3	czech	czech	PROPN
ap-608	155	4	technical	technical	PROPN
ap-608	155	5	university	university	PROPN
ap-608	155	6	publishing	publishing	NOUN
ap-608	155	7	house	house	NOUN
ap-608	155	8	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-608	155	9	11	11	NUM
ap-608	155	10	acta	acta	PROPN
ap-608	155	11	polytechnica	polytechnica	PROPN
ap-608	155	12	vol	vol	NOUN
ap-608	155	13	.	.	PROPN
ap-608	156	1	44	44	NUM
ap-608	156	2	no	no	NOUN
ap-608	156	3	.	.	PUNCT
ap-608	157	1	5–6/2004	5–6/2004	NUM
ap-608	157	2	fig	fig	NOUN
ap-608	157	3	.	.	PUNCT
ap-608	158	1	4	4	NUM
ap-608	158	2	:	:	PUNCT
ap-608	158	3	(	(	PUNCT
ap-608	158	4	a	a	X
ap-608	158	5	)	)	PUNCT
ap-608	158	6	angle	angle	NOUN
ap-608	158	7	-	-	PUNCT
ap-608	158	8	notched	notch	VERB
ap-608	158	9	circular	circular	ADJ
ap-608	158	10	specimen	speciman	NOUN
ap-608	158	11	considered	consider	VERB
ap-608	158	12	for	for	ADP
ap-608	158	13	analysis	analysis	NOUN
ap-608	158	14	,	,	PUNCT
ap-608	158	15	(	(	PUNCT
ap-608	158	16	b	b	NOUN
ap-608	158	17	)	)	PUNCT
ap-608	158	18	numerically	numerically	ADV
ap-608	158	19	computed	compute	VERB
ap-608	158	20	singularity	singularity	NOUN
ap-608	158	21	exponent	exponent	NOUN
ap-608	158	22	compared	compare	VERB
ap-608	158	23	to	to	ADP
ap-608	158	24	williams	williams	PROPN
ap-608	158	25	'	'	PART
ap-608	158	26	elastic	elastic	ADJ
ap-608	158	27	solution	solution	NOUN
ap-608	158	28	,	,	PUNCT
ap-608	158	29	(	(	PUNCT
ap-608	158	30	c	c	X
ap-608	158	31	)	)	PUNCT
ap-608	158	32	computed	compute	VERB
ap-608	158	33	variation	variation	NOUN
ap-608	158	34	of	of	ADP
ap-608	158	35	nominal	nominal	ADJ
ap-608	158	36	strength	strength	NOUN
ap-608	158	37	with	with	ADP
ap-608	158	38	notch	notch	ADJ
ap-608	158	39	angle	angle	NOUN
ap-608	158	40	,	,	PUNCT
ap-608	158	41	(	(	PUNCT
ap-608	158	42	d	d	X
ap-608	158	43	)	)	PUNCT
ap-608	158	44	analytical	analytical	ADJ
ap-608	158	45	size	size	NOUN
ap-608	158	46	effect	effect	NOUN
ap-608	158	47	law	law	NOUN
ap-608	158	48	for	for	ADP
ap-608	158	49	angular	angular	ADJ
ap-608	158	50	notches	notch	NOUN
ap-608	158	51	compared	compare	VERB
ap-608	158	52	to	to	ADP
ap-608	158	53	cohesive	cohesive	ADJ
ap-608	158	54	crack	crack	NOUN
ap-608	158	55	model	model	NOUN
ap-608	158	56	�	�	PROPN
ap-608	158	57	�	�	PROPN
ap-608	158	58	(	(	PUNCT
ap-608	158	59	a	a	PRON
ap-608	158	60	)	)	PUNCT
ap-608	158	61	�	�	PROPN
ap-608	158	62	�	�	PROPN
ap-608	158	63	�	�	PROPN
ap-608	158	64	�	�	PROPN
ap-608	158	65	�	�	PROPN
ap-608	158	66	�	�	PROPN
ap-608	158	67	�	�	PROPN
ap-608	158	68	rr	rr	PROPN
ap-608	158	69	rrar	rrar	PROPN
ap-608	158	70	f	f	PROPN
ap-608	158	71	ar	ar	PROPN
ap-608	158	72	f	f	PROPN
ap-608	158	73	f	f	PROPN
ap-608	158	74	�	�	PROPN
ap-608	158	75	�	�	PROPN
ap-608	158	76	�	�	PROPN
ap-608	158	77	�	�	PROPN
ap-608	158	78	�	�	PROPN
ap-608	158	79	�	�	PROPN
ap-608	158	80	�	�	PROPN
ap-608	158	81	�	�	PROPN
ap-608	158	82	1	1	NUM
ap-608	158	83	1	1	NUM
ap-608	158	84	1	1	NUM
ap-608	158	85	(	(	PUNCT
ap-608	158	86	,	,	PUNCT
ap-608	158	87	)	)	PUNCT
ap-608	158	88	(	(	PUNCT
ap-608	158	89	)	)	PUNCT
ap-608	158	90	(	(	PUNCT
ap-608	158	91	,	,	PUNCT
ap-608	158	92	)	)	PUNCT
ap-608	158	93	(	(	PUNCT
ap-608	158	94	,	,	PUNCT
ap-608	158	95	)	)	PUNCT
ap-608	158	96	�	�	PROPN
ap-608	158	97	�	�	PROPN
ap-608	158	98	(	(	PUNCT
ap-608	158	99	b	b	NOUN
ap-608	158	100	)	)	PUNCT
ap-608	158	101	�	�	PROPN
ap-608	158	102	�	�	PROPN
ap-608	158	103	�	�	PROPN
ap-608	158	104	�	�	PROPN
ap-608	158	105	�	�	PROPN
ap-608	158	106	�	�	PROPN
ap-608	158	107	�	�	PROPN
ap-608	158	108	�	�	PROPN
ap-608	158	109	�	�	PROPN
ap-608	158	110	00	00	NUM
ap-608	158	111	1	1	NUM
ap-608	158	112	1	1	NUM
ap-608	158	113	1	1	NUM
ap-608	158	114	�	�	PROPN
ap-608	158	115	�	�	PROPN
ap-608	158	116	�	�	PROPN
ap-608	158	117	�	�	PROPN
ap-608	158	118	�	�	PROPN
ap-608	158	119	ar	ar	PROPN
ap-608	158	120	f	f	PROPN
ap-608	158	121	ar	ar	PROPN
ap-608	158	122	f	f	PROPN
ap-608	158	123	(	(	PUNCT
ap-608	158	124	,	,	PUNCT
ap-608	158	125	)	)	PUNCT
ap-608	158	126	(	(	PUNCT
ap-608	158	127	)	)	PUNCT
ap-608	158	128	(	(	PUNCT
ap-608	158	129	,	,	PUNCT
ap-608	158	130	)	)	PUNCT
ap-608	158	131	�	�	PROPN
ap-608	158	132	�	�	PROPN
ap-608	158	133	(	(	PUNCT
ap-608	158	134	c	c	NOUN
ap-608	158	135	)	)	PUNCT
ap-608	158	136	�	�	PROPN
ap-608	158	137	�	�	PROPN
ap-608	158	138	�	�	PROPN
ap-608	158	139	�	�	PROPN
ap-608	158	140	�	�	PROPN
ap-608	158	141	�	�	PROPN
ap-608	158	142	�	�	PROPN
ap-608	158	143	r	r	NOUN
ap-608	158	144	rar	rar	NOUN
ap-608	158	145	f	f	PROPN
ap-608	158	146	ar	ar	PROPN
ap-608	158	147	f	f	PROPN
ap-608	158	148	0	0	NUM
ap-608	158	149	1	1	NUM
ap-608	158	150	1	1	NUM
ap-608	158	151	�	�	PROPN
ap-608	158	152	�	�	PROPN
ap-608	158	153	�	�	PROPN
ap-608	158	154	�	�	PROPN
ap-608	158	155	�	�	PROPN
ap-608	158	156	�	�	PROPN
ap-608	158	157	(	(	PUNCT
ap-608	158	158	,	,	PUNCT
ap-608	158	159	)	)	PUNCT
ap-608	158	160	(	(	PUNCT
ap-608	158	161	,	,	PUNCT
ap-608	158	162	)	)	PUNCT
ap-608	158	163	(	(	PUNCT
ap-608	158	164	d	d	X
ap-608	158	165	)	)	PUNCT
ap-608	158	166	mode	mode	NOUN
ap-608	159	1	i	i	PRON
ap-608	159	2	:	:	PUNCT
ap-608	159	3	f	f	PROPN
ap-608	159	4	(	(	PUNCT
ap-608	159	5	,	,	PUNCT
ap-608	159	6	)	)	PUNCT
ap-608	159	7	cos	cos	PROPN
ap-608	159	8	(	(	PUNCT
ap-608	159	9	)	)	PUNCT
ap-608	159	10	(	(	PUNCT
ap-608	159	11	)	)	PUNCT
ap-608	159	12	sin	sin	NOUN
ap-608	159	13	(	(	PUNCT
ap-608	159	14	)	)	PUNCT
ap-608	159	15	(	(	PUNCT
ap-608	159	16	(	(	PUNCT
ap-608	159	17	�	�	PROPN
ap-608	159	18	�	�	PROPN
ap-608	159	19	�	�	PROPN
ap-608	159	20	�	�	PROPN
ap-608	159	21	�	�	PROPN
ap-608	159	22	�	�	PROPN
ap-608	159	23	�	�	PROPN
ap-608	159	24	�	�	PROPN
ap-608	159	25	�	�	PROPN
ap-608	159	26	�	�	PROPN
ap-608	159	27	�	�	PROPN
ap-608	159	28	�	�	PROPN
ap-608	159	29	�	�	PROPN
ap-608	159	30	�	�	PROPN
ap-608	159	31	�	�	PROPN
ap-608	159	32	1	1	NUM
ap-608	159	33	1	1	NUM
ap-608	159	34	1	1	NUM
ap-608	159	35	1	1	NUM
ap-608	159	36	)	)	PUNCT
ap-608	159	37	sin	sin	NOUN
ap-608	159	38	(	(	PUNCT
ap-608	159	39	)	)	PUNCT
ap-608	159	40	(	(	PUNCT
ap-608	159	41	cos	cos	PROPN
ap-608	159	42	(	(	PUNCT
ap-608	159	43	)	)	PUNCT
ap-608	159	44	�	�	PROPN
ap-608	159	45	�	�	PROPN
ap-608	159	46	�	�	PROPN
ap-608	159	47	�	�	PROPN
ap-608	159	48	�	�	PROPN
ap-608	159	49	�	�	PROPN
ap-608	159	50	�	�	PROPN
ap-608	159	51	�	�	PROPN
ap-608	159	52	1	1	NUM
ap-608	159	53	1	1	NUM
ap-608	159	54	(	(	PUNCT
ap-608	159	55	e	e	NOUN
ap-608	159	56	)	)	PUNCT
ap-608	159	57	eq	eq	NOUN
ap-608	159	58	.	.	PUNCT
ap-608	160	1	for	for	ADP
ap-608	160	2	�	�	PROPN
ap-608	160	3	�	�	PROPN
ap-608	160	4	�	�	PROPN
ap-608	160	5	�	�	PROPN
ap-608	160	6	�	�	PROPN
ap-608	160	7	�	�	PROPN
ap-608	160	8	�	�	PROPN
ap-608	160	9	:	:	PUNCT
ap-608	160	10	sin	sin	NOUN
ap-608	160	11	(	(	PUNCT
ap-608	160	12	sin	sin	NOUN
ap-608	160	13	(	(	PUNCT
ap-608	160	14	2	2	NUM
ap-608	160	15	2	2	NUM
ap-608	160	16	�	�	PROPN
ap-608	160	17	�	�	PROPN
ap-608	160	18	�	�	PROPN
ap-608	160	19	�	�	PROPN
ap-608	160	20	(	(	PUNCT
ap-608	160	21	f	f	X
ap-608	160	22	)	)	PUNCT
ap-608	160	23	a	a	DET
ap-608	160	24	d	d	X
ap-608	160	25	p	p	X
ap-608	160	26	d	d	PROPN
ap-608	160	27	n	n	CCONJ
ap-608	160	28	n	n	CCONJ
ap-608	160	29	�	�	PROPN
ap-608	160	30	�	�	PROPN
ap-608	160	31	�	�	PROPN
ap-608	160	32	�	�	PROPN
ap-608	160	33	�	�	PROPN
ap-608	160	34	�	�	PROPN
ap-608	160	35	1	1	NUM
ap-608	160	36	(	(	PUNCT
ap-608	160	37	)	)	PUNCT
ap-608	160	38	�	�	PROPN
ap-608	160	39	�	�	PROPN
ap-608	160	40	(	(	PUNCT
ap-608	160	41	)	)	PUNCT
ap-608	160	42	(	(	PUNCT
ap-608	160	43	)	)	PUNCT
ap-608	160	44	(	(	PUNCT
ap-608	160	45	,	,	PUNCT
ap-608	160	46	)	)	PUNCT
ap-608	160	47	sin	sin	NOUN
ap-608	160	48	(	(	PUNCT
ap-608	160	49	,	,	PUNCT
ap-608	160	50	)	)	PUNCT
ap-608	161	1	cos	cos	PROPN
ap-608	161	2	(	(	PUNCT
ap-608	161	3	g	g	PROPN
ap-608	161	4	f	f	PROPN
ap-608	161	5	frr	frr	PROPN
ap-608	161	6	r	r	PROPN
ap-608	161	7	�	�	PROPN
ap-608	161	8	�	�	PROPN
ap-608	161	9	�	�	PROPN
ap-608	161	10	�	�	PROPN
ap-608	161	11	�	�	PROPN
ap-608	161	12	�	�	PROPN
ap-608	161	13	�	�	PROPN
ap-608	161	14	�	�	PROPN
ap-608	161	15	�	�	PROPN
ap-608	161	16	�	�	PROPN
ap-608	161	17	�	�	PROPN
ap-608	161	18	�	�	PROPN
ap-608	161	19	d	d	ADP
ap-608	161	20	0	0	NUM
ap-608	161	21	numerically	numerically	ADV
ap-608	161	22	obtained	obtain	VERB
ap-608	161	23	values	value	NOUN
ap-608	161	24	of	of	ADP
ap-608	161	25	log	log	PROPN
ap-608	161	26	�	�	PROPN
ap-608	161	27	n	n	NOUN
ap-608	161	28	for	for	ADP
ap-608	161	29	various	various	ADJ
ap-608	161	30	fixed	fix	VERB
ap-608	161	31	d	d	NOUN
ap-608	161	32	cf	cf	NOUN
ap-608	161	33	are	be	AUX
ap-608	161	34	plotted	plot	VERB
ap-608	161	35	in	in	ADP
ap-608	161	36	fig	fig	NOUN
ap-608	161	37	.	.	PUNCT
ap-608	162	1	4c	4c	NOUN
ap-608	162	2	as	as	ADP
ap-608	162	3	a	a	DET
ap-608	162	4	function	function	NOUN
ap-608	162	5	of	of	ADP
ap-608	162	6	angle	angle	NOUN
ap-608	162	7	.	.	PUNCT
ap-608	163	1	we	we	PRON
ap-608	163	2	see	see	VERB
ap-608	163	3	that	that	SCONJ
ap-608	163	4	this	this	DET
ap-608	163	5	size	size	NOUN
ap-608	163	6	effect	effect	NOUN
ap-608	163	7	curve	curve	NOUN
ap-608	163	8	matches	match	VERB
ap-608	163	9	perfectly	perfectly	ADV
ap-608	163	10	the	the	DET
ap-608	163	11	curve	curve	NOUN
ap-608	163	12	of	of	ADP
ap-608	163	13	eq	eq	PROPN
ap-608	163	14	.	.	PUNCT
ap-608	164	1	(	(	PUNCT
ap-608	164	2	9	9	NUM
ap-608	164	3	)	)	PUNCT
ap-608	164	4	and	and	CCONJ
ap-608	164	5	(	(	PUNCT
ap-608	164	6	10	10	NUM
ap-608	164	7	)	)	PUNCT
ap-608	164	8	for	for	ADP
ap-608	164	9	d	d	PROPN
ap-608	164	10	cf	cf	X
ap-608	164	11	�	�	PROPN
ap-608	164	12	500	500	NUM
ap-608	164	13	,	,	PUNCT
ap-608	164	14	confirming	confirm	VERB
ap-608	164	15	that	that	SCONJ
ap-608	164	16	the	the	DET
ap-608	164	17	equivalent	equivalent	ADJ
ap-608	164	18	lefm	lefm	PROPN
ap-608	164	19	approximation	approximation	NOUN
ap-608	164	20	obtained	obtain	VERB
ap-608	164	21	for	for	ADP
ap-608	164	22	r	r	NOUN
ap-608	164	23	cf	cf	NOUN
ap-608	164	24	�	�	PROPN
ap-608	164	25	is	be	AUX
ap-608	164	26	good	good	ADJ
ap-608	164	27	enough	enough	ADV
ap-608	164	28	.	.	PUNCT
ap-608	165	1	a	a	DET
ap-608	165	2	general	general	ADJ
ap-608	165	3	approximate	approximate	ADJ
ap-608	165	4	formula	formula	NOUN
ap-608	165	5	for	for	ADP
ap-608	165	6	the	the	DET
ap-608	165	7	size	size	NOUN
ap-608	165	8	effect	effect	NOUN
ap-608	165	9	of	of	ADP
ap-608	165	10	notches	notch	NOUN
ap-608	165	11	of	of	ADP
ap-608	165	12	any	any	DET
ap-608	165	13	angle	angle	NOUN
ap-608	165	14	,	,	PUNCT
ap-608	165	15	applicable	applicable	ADJ
ap-608	165	16	to	to	ADP
ap-608	165	17	any	any	DET
ap-608	165	18	size	size	NOUN
ap-608	165	19	d	d	NOUN
ap-608	165	20	,	,	PUNCT
ap-608	165	21	may	may	AUX
ap-608	165	22	be	be	AUX
ap-608	165	23	written	write	VERB
ap-608	165	24	,	,	PUNCT
ap-608	165	25	as	as	SCONJ
ap-608	165	26	proposed	propose	VERB
ap-608	165	27	by	by	ADP
ap-608	165	28	bažant	bažant	NOUN
ap-608	165	29	(	(	PUNCT
ap-608	165	30	2003	2003	NUM
ap-608	165	31	)	)	PUNCT
ap-608	165	32	,	,	PUNCT
ap-608	165	33	as	as	SCONJ
ap-608	165	34	follows	follow	VERB
ap-608	165	35	:	:	PUNCT
ap-608	165	36	�	�	PROPN
ap-608	165	37	�	�	PROPN
ap-608	165	38	�	�	PROPN
ap-608	165	39	n	n	CCONJ
ap-608	165	40	h	h	NOUN
ap-608	165	41	h	h	NOUN
ap-608	166	1	d	d	PROPN
ap-608	166	2	d	d	X
ap-608	166	3	�	�	PROPN
ap-608	166	4	�	�	PROPN
ap-608	166	5	�	�	PROPN
ap-608	166	6	�	�	PROPN
ap-608	166	7	�	�	PROPN
ap-608	166	8	�	�	PROPN
ap-608	166	9	�	�	PROPN
ap-608	166	10	�	�	PROPN
ap-608	166	11	0	0	NUM
ap-608	166	12	0	0	NUM
ap-608	166	13	0	0	NUM
ap-608	166	14	1	1	NUM
ap-608	166	15	1	1	NUM
ap-608	166	16	(	(	PUNCT
ap-608	166	17	)	)	PUNCT
ap-608	166	18	(	(	PUNCT
ap-608	166	19	11	11	NUM
ap-608	166	20	)	)	PUNCT
ap-608	166	21	where	where	SCONJ
ap-608	166	22	h	h	PROPN
ap-608	166	23	h0	h0	PROPN
ap-608	166	24	�	�	PROPN
ap-608	166	25	value	value	PROPN
ap-608	166	26	�	�	PROPN
ap-608	166	27	0	0	NUM
ap-608	166	28	,	,	PUNCT
ap-608	166	29	and	and	CCONJ
ap-608	166	30	d0	d0	NOUN
ap-608	166	31	is	be	AUX
ap-608	166	32	given	give	VERB
ap-608	166	33	in	in	ADP
ap-608	166	34	terms	term	NOUN
ap-608	166	35	of	of	ADP
ap-608	166	36	g	g	PROPN
ap-608	166	37	(	(	PUNCT
ap-608	166	38	�	�	PROPN
ap-608	166	39	)	)	PUNCT
ap-608	166	40	,	,	PUNCT
ap-608	166	41	and	and	CCONJ
ap-608	166	42	is	be	AUX
ap-608	166	43	the	the	DET
ap-608	166	44	same	same	ADJ
ap-608	166	45	as	as	ADP
ap-608	166	46	for	for	ADP
ap-608	166	47	a	a	DET
ap-608	166	48	crack	crack	NOUN
ap-608	166	49	(	(	PUNCT
ap-608	166	50	�	�	NOUN
ap-608	166	51	0	0	NUM
ap-608	166	52	)	)	PUNCT
ap-608	166	53	.	.	PUNCT
ap-608	167	1	eq	eq	X
ap-608	167	2	.	.	PUNCT
ap-608	168	1	(	(	PUNCT
ap-608	168	2	11	11	NUM
ap-608	168	3	)	)	PUNCT
ap-608	168	4	,	,	PUNCT
ap-608	168	5	which	which	PRON
ap-608	168	6	is	be	AUX
ap-608	168	7	of	of	ADP
ap-608	168	8	course	course	NOUN
ap-608	168	9	valid	valid	ADJ
ap-608	168	10	only	only	ADV
ap-608	168	11	for	for	ADP
ap-608	168	12	large	large	ADJ
ap-608	168	13	enough	enough	ADJ
ap-608	168	14	notches	notch	NOUN
ap-608	168	15	penetrating	penetrate	VERB
ap-608	168	16	through	through	ADP
ap-608	168	17	the	the	DET
ap-608	168	18	boundary	boundary	ADJ
ap-608	168	19	layer	layer	NOUN
ap-608	168	20	of	of	ADP
ap-608	168	21	concrete	concrete	NOUN
ap-608	168	22	,	,	PUNCT
ap-608	168	23	has	have	AUX
ap-608	168	24	been	be	AUX
ap-608	168	25	derived	derive	VERB
ap-608	168	26	by	by	ADP
ap-608	168	27	asymptotic	asymptotic	ADJ
ap-608	168	28	matching	matching	NOUN
ap-608	168	29	of	of	ADP
ap-608	168	30	the	the	DET
ap-608	168	31	following	follow	VERB
ap-608	168	32	asymptotic	asymptotic	ADJ
ap-608	168	33	conditions	condition	NOUN
ap-608	168	34	:	:	PUNCT
ap-608	168	35	1	1	X
ap-608	168	36	)	)	PUNCT
ap-608	168	37	for	for	ADP
ap-608	168	38	0	0	NUM
ap-608	168	39	,	,	PUNCT
ap-608	168	40	the	the	DET
ap-608	168	41	classical	classical	ADJ
ap-608	168	42	size	size	NOUN
ap-608	168	43	effect	effect	NOUN
ap-608	168	44	law	law	NOUN
ap-608	168	45	�	�	PROPN
ap-608	168	46	�	�	PROPN
ap-608	168	47	n	n	PROPN
ap-608	168	48	d	d	NOUN
ap-608	168	49	d	d	PROPN
ap-608	168	50	�	�	PROPN
ap-608	168	51	�	�	PROPN
ap-608	168	52	�	�	PROPN
ap-608	168	53	0	0	NUM
ap-608	168	54	0	0	NUM
ap-608	168	55	1	1	NUM
ap-608	168	56	21	21	NUM
ap-608	168	57	(	(	PUNCT
ap-608	168	58	)	)	PUNCT
ap-608	168	59	must	must	AUX
ap-608	168	60	be	be	AUX
ap-608	168	61	recovered;	recovered;	NOUN
ap-608	168	62	2	2	NUM
ap-608	168	63	)	)	PUNCT
ap-608	168	64	for	for	ADP
ap-608	168	65	d	d	PROPN
ap-608	168	66	l0	l0	PROPN
ap-608	168	67	0	0	NUM
ap-608	168	68	�	�	PROPN
ap-608	168	69	,	,	PUNCT
ap-608	168	70	there	there	PRON
ap-608	168	71	must	must	AUX
ap-608	168	72	be	be	AUX
ap-608	168	73	no	no	DET
ap-608	168	74	size	size	NOUN
ap-608	168	75	effect;	effect;	NOUN
ap-608	168	76	3	3	NUM
ap-608	168	77	)	)	PUNCT
ap-608	168	78	for	for	ADP
ap-608	168	79	d	d	PROPN
ap-608	168	80	l0	l0	PROPN
ap-608	168	81	�	�	PROPN
ap-608	168	82	�	�	PROPN
ap-608	168	83	,	,	PUNCT
ap-608	168	84	eqs	eqs	X
ap-608	168	85	.	.	PUNCT
ap-608	169	1	(	(	PUNCT
ap-608	169	2	11	11	NUM
ap-608	169	3	)	)	PUNCT
ap-608	169	4	and	and	CCONJ
ap-608	169	5	(	(	PUNCT
ap-608	169	6	9	9	X
ap-608	169	7	)	)	PUNCT
ap-608	169	8	must	must	AUX
ap-608	169	9	coincide;	coincide;	VERB
ap-608	169	10	4	4	NUM
ap-608	169	11	)	)	PUNCT
ap-608	169	12	for	for	ADP
ap-608	169	13	�	�	PROPN
ap-608	169	14	�	�	PROPN
ap-608	169	15	2	2	NUM
ap-608	169	16	(	(	PUNCT
ap-608	169	17	flat	flat	ADJ
ap-608	169	18	surface	surface	NOUN
ap-608	169	19	)	)	PUNCT
ap-608	169	20	,	,	PUNCT
ap-608	169	21	the	the	DET
ap-608	169	22	formula	formula	NOUN
ap-608	169	23	must	must	AUX
ap-608	169	24	give	give	VERB
ap-608	169	25	no	no	DET
ap-608	169	26	size	size	NOUN
ap-608	169	27	effect	effect	NOUN
ap-608	169	28	when	when	SCONJ
ap-608	169	29	d	d	PROPN
ap-608	169	30	�	�	PROPN
ap-608	169	31	�	�	PROPN
ap-608	169	32	.	.	PUNCT
ap-608	170	1	in	in	ADP
ap-608	170	2	reality	reality	NOUN
ap-608	170	3	,	,	PUNCT
ap-608	170	4	there	there	PRON
ap-608	170	5	is	be	VERB
ap-608	170	6	of	of	ADP
ap-608	170	7	course	course	NOUN
ap-608	170	8	a	a	DET
ap-608	170	9	size	size	NOUN
ap-608	170	10	effect	effect	NOUN
ap-608	170	11	in	in	ADP
ap-608	170	12	the	the	DET
ap-608	170	13	last	last	ADJ
ap-608	170	14	case	case	NOUN
ap-608	170	15	,	,	PUNCT
ap-608	170	16	but	but	CCONJ
ap-608	170	17	it	it	PRON
ap-608	170	18	requires	require	VERB
ap-608	170	19	a	a	DET
ap-608	170	20	further	further	ADJ
ap-608	170	21	generalization	generalization	NOUN
ap-608	170	22	of	of	ADP
ap-608	170	23	eq	eq	PROPN
ap-608	170	24	.	.	PUNCT
ap-608	171	1	(	(	PUNCT
ap-608	171	2	11	11	NUM
ap-608	171	3	)	)	PUNCT
ap-608	171	4	(	(	PUNCT
ap-608	171	5	which	which	PRON
ap-608	171	6	will	will	AUX
ap-608	171	7	be	be	AUX
ap-608	171	8	presented	present	VERB
ap-608	171	9	separately	separately	ADV
ap-608	171	10	)	)	PUNCT
ap-608	171	11	.	.	PUNCT
ap-608	172	1	therefore	therefore	ADV
ap-608	172	2	,	,	PUNCT
ap-608	172	3	eqs	eqs	PROPN
ap-608	172	4	.	.	PUNCT
ap-608	172	5	(	(	PUNCT
ap-608	172	6	11	11	NUM
ap-608	172	7	)	)	PUNCT
ap-608	172	8	and	and	CCONJ
ap-608	172	9	(	(	PUNCT
ap-608	172	10	9	9	X
ap-608	172	11	)	)	PUNCT
ap-608	172	12	can	can	AUX
ap-608	172	13	be	be	AUX
ap-608	172	14	applied	apply	VERB
ap-608	172	15	only	only	ADV
ap-608	172	16	when	when	SCONJ
ap-608	172	17	the	the	DET
ap-608	172	18	notch	notch	NOUN
ap-608	172	19	is	be	AUX
ap-608	172	20	deeper	deep	ADJ
ap-608	172	21	than	than	ADP
ap-608	172	22	the	the	DET
ap-608	172	23	boundary	boundary	ADJ
ap-608	172	24	layer	layer	NOUN
ap-608	172	25	,	,	PUNCT
ap-608	172	26	which	which	PRON
ap-608	172	27	is	be	AUX
ap-608	172	28	at	at	ADP
ap-608	172	29	least	least	ADJ
ap-608	172	30	one	one	NUM
ap-608	172	31	aggregate	aggregate	ADJ
ap-608	172	32	size	size	NOUN
ap-608	172	33	.	.	PUNCT
ap-608	173	1	complete	complete	ADJ
ap-608	173	2	generality	generality	NOUN
ap-608	173	3	will	will	AUX
ap-608	173	4	require	require	VERB
ap-608	173	5	amalgamating	amalgamate	VERB
ap-608	173	6	eq	eq	ADP
ap-608	173	7	.	.	PUNCT
ap-608	174	1	(	(	PUNCT
ap-608	174	2	11	11	NUM
ap-608	174	3	)	)	PUNCT
ap-608	174	4	with	with	ADP
ap-608	174	5	the	the	DET
ap-608	174	6	universal	universal	ADJ
ap-608	174	7	size	size	NOUN
ap-608	174	8	effect	effect	NOUN
ap-608	174	9	law	law	NOUN
ap-608	174	10	in	in	ADP
ap-608	174	11	fig	fig	NOUN
ap-608	174	12	.	.	PUNCT
ap-608	175	1	3	3	X
ap-608	175	2	.	.	PUNCT
ap-608	175	3	the	the	DET
ap-608	175	4	plot	plot	NOUN
ap-608	175	5	of	of	ADP
ap-608	175	6	log	log	PROPN
ap-608	175	7	�	�	PROPN
ap-608	175	8	n	n	PROPN
ap-608	175	9	versus	versus	ADP
ap-608	175	10	log	log	PROPN
ap-608	175	11	d	d	PROPN
ap-608	175	12	for	for	ADP
ap-608	175	13	�	�	PROPN
ap-608	175	14	�	�	PROPN
ap-608	175	15	3	3	NUM
ap-608	175	16	according	accord	VERB
ap-608	175	17	to	to	ADP
ap-608	175	18	eq	eq	PROPN
ap-608	175	19	.	.	PUNCT
ap-608	176	1	(	(	PUNCT
ap-608	176	2	11	11	NUM
ap-608	176	3	)	)	PUNCT
ap-608	176	4	is	be	AUX
ap-608	176	5	compared	compare	VERB
ap-608	176	6	to	to	ADP
ap-608	176	7	the	the	DET
ap-608	176	8	finite	finite	ADJ
ap-608	176	9	element	element	NOUN
ap-608	176	10	results	result	NOUN
ap-608	176	11	for	for	SCONJ
ap-608	176	12	notched	notch	VERB
ap-608	176	13	circular	circular	ADJ
ap-608	176	14	bodies	body	NOUN
ap-608	176	15	with	with	ADP
ap-608	176	16	cohesive	cohesive	ADJ
ap-608	176	17	cracks	crack	NOUN
ap-608	176	18	in	in	ADP
ap-608	176	19	fig	fig	NOUN
ap-608	176	20	.	.	PUNCT
ap-608	177	1	4d	4d	NUM
ap-608	177	2	.	.	PUNCT
ap-608	178	1	the	the	DET
ap-608	178	2	agreement	agreement	NOUN
ap-608	178	3	is	be	AUX
ap-608	178	4	seen	see	VERB
ap-608	178	5	to	to	PART
ap-608	178	6	be	be	AUX
ap-608	178	7	excellent	excellent	ADJ
ap-608	178	8	.	.	PUNCT
ap-608	179	1	6	6	NUM
ap-608	179	2	new	new	ADJ
ap-608	179	3	derivation	derivation	NOUN
ap-608	179	4	of	of	ADP
ap-608	179	5	size	size	NOUN
ap-608	179	6	effect	effect	NOUN
ap-608	179	7	law	law	NOUN
ap-608	179	8	from	from	ADP
ap-608	179	9	asymptotic	asymptotic	ADJ
ap-608	179	10	dimensional	dimensional	ADJ
ap-608	179	11	analysis	analysis	NOUN
ap-608	179	12	from	from	ADP
ap-608	179	13	buckingham	buckingham	PROPN
ap-608	179	14	’s	’s	PART
ap-608	179	15	(	(	PUNCT
ap-608	179	16	1914	1914	NUM
ap-608	179	17	)	)	PUNCT
ap-608	179	18	–	–	PUNCT
ap-608	179	19	theorem	theorem	NOUN
ap-608	179	20	of	of	ADP
ap-608	179	21	dimensional	dimensional	ADJ
ap-608	179	22	analysis	analysis	NOUN
ap-608	179	23	,	,	PUNCT
ap-608	179	24	two	two	NUM
ap-608	179	25	size	size	NOUN
ap-608	179	26	effects	effect	NOUN
ap-608	179	27	can	can	AUX
ap-608	179	28	be	be	AUX
ap-608	179	29	easily	easily	ADV
ap-608	179	30	proven	prove	VERB
ap-608	179	31	:	:	PUNCT
ap-608	179	32	(	(	PUNCT
ap-608	179	33	1	1	X
ap-608	179	34	)	)	PUNCT
ap-608	179	35	if	if	SCONJ
ap-608	179	36	the	the	DET
ap-608	179	37	failure	failure	NOUN
ap-608	179	38	depends	depend	VERB
ap-608	179	39	only	only	ADV
ap-608	179	40	on	on	ADP
ap-608	179	41	material	material	NOUN
ap-608	179	42	strength	strength	NOUN
ap-608	179	43	�	�	PROPN
ap-608	179	44	ft	ft	PROPN
ap-608	179	45	(	(	PUNCT
ap-608	179	46	dimension	dimension	NOUN
ap-608	179	47	n	n	CCONJ
ap-608	179	48	/	/	SYM
ap-608	179	49	m2	m2	PROPN
ap-608	179	50	)	)	PUNCT
ap-608	179	51	,	,	PUNCT
ap-608	179	52	then	then	ADV
ap-608	179	53	there	there	PRON
ap-608	179	54	is	be	VERB
ap-608	179	55	no	no	DET
ap-608	179	56	size	size	NOUN
ap-608	179	57	effect	effect	NOUN
ap-608	179	58	,	,	PUNCT
ap-608	179	59	i.e.	i.e.	X
ap-608	179	60	,	,	PUNCT
ap-608	179	61	the	the	DET
ap-608	179	62	nominal	nominal	ADJ
ap-608	179	63	strength	strength	NOUN
ap-608	179	64	of	of	ADP
ap-608	179	65	geometrically	geometrically	ADV
ap-608	179	66	similar	similar	ADJ
ap-608	179	67	specimens	specimen	NOUN
ap-608	179	68	does	do	AUX
ap-608	179	69	not	not	PART
ap-608	179	70	depend	depend	VERB
ap-608	179	71	on	on	ADP
ap-608	179	72	their	their	PRON
ap-608	179	73	size	size	NOUN
ap-608	179	74	,	,	PUNCT
ap-608	179	75	and	and	CCONJ
ap-608	179	76	(	(	PUNCT
ap-608	179	77	2	2	X
ap-608	179	78	)	)	PUNCT
ap-608	179	79	if	if	SCONJ
ap-608	179	80	the	the	DET
ap-608	179	81	failure	failure	NOUN
ap-608	179	82	depends	depend	VERB
ap-608	179	83	only	only	ADV
ap-608	179	84	on	on	ADP
ap-608	179	85	material	material	NOUN
ap-608	179	86	facture	facture	NOUN
ap-608	179	87	energy	energy	NOUN
ap-608	179	88	gf	gf	NOUN
ap-608	179	89	(	(	PUNCT
ap-608	179	90	dimension	dimension	NOUN
ap-608	179	91	n	n	CCONJ
ap-608	179	92	/	/	SYM
ap-608	179	93	m	m	PROPN
ap-608	179	94	)	)	PUNCT
ap-608	179	95	,	,	PUNCT
ap-608	179	96	then	then	ADV
ap-608	179	97	of	of	ADP
ap-608	179	98	course	course	NOUN
ap-608	179	99	the	the	DET
ap-608	179	100	size	size	NOUN
ap-608	179	101	effect	effect	NOUN
ap-608	179	102	is	be	AUX
ap-608	179	103	�	�	PROPN
ap-608	179	104	n	n	PART
ap-608	179	105	d	d	PROPN
ap-608	179	106	�	�	PROPN
ap-608	179	107	�	�	PROPN
ap-608	179	108	1	1	NUM
ap-608	179	109	2	2	NUM
ap-608	179	110	(	(	PUNCT
ap-608	179	111	e.g.	e.g.	ADV
ap-608	179	112	bažant	bažant	ADJ
ap-608	179	113	1993	1993	NUM
ap-608	179	114	)	)	PUNCT
ap-608	179	115	.	.	PUNCT
ap-608	180	1	nothing	nothing	PRON
ap-608	180	2	more	more	ADJ
ap-608	180	3	can	can	AUX
ap-608	180	4	be	be	AUX
ap-608	180	5	deduced	deduce	VERB
ap-608	180	6	.	.	PUNCT
ap-608	181	1	knowing	know	VERB
ap-608	181	2	that	that	SCONJ
ap-608	181	3	irwin	irwin	PROPN
ap-608	181	4	’s	’s	PART
ap-608	181	5	characteristic	characteristic	ADJ
ap-608	181	6	length	length	NOUN
ap-608	181	7	l	l	PROPN
ap-608	181	8	e	e	NOUN
ap-608	181	9	g	g	NOUN
ap-608	181	10	ff	ff	NUM
ap-608	181	11	t0	t0	PROPN
ap-608	181	12	2	2	NUM
ap-608	181	13	�	�	PROPN
ap-608	181	14	�	�	PROPN
ap-608	181	15	has	have	VERB
ap-608	181	16	the	the	DET
ap-608	181	17	physical	physical	ADJ
ap-608	181	18	meaning	meaning	NOUN
ap-608	181	19	of	of	ADP
ap-608	181	20	fracture	fracture	NOUN
ap-608	181	21	process	process	NOUN
ap-608	181	22	zone	zone	NOUN
ap-608	181	23	length	length	NOUN
ap-608	181	24	,	,	PUNCT
ap-608	181	25	one	one	PRON
ap-608	181	26	can	can	AUX
ap-608	181	27	deduce	deduce	VERB
ap-608	181	28	more	more	ADJ
ap-608	181	29	.	.	PUNCT
ap-608	182	1	when	when	SCONJ
ap-608	182	2	d	d	PROPN
ap-608	182	3	l0	l0	PROPN
ap-608	182	4	0	0	NUM
ap-608	182	5	�	�	PROPN
ap-608	182	6	,	,	PUNCT
ap-608	182	7	the	the	DET
ap-608	182	8	body	body	NOUN
ap-608	182	9	is	be	AUX
ap-608	182	10	much	much	ADV
ap-608	182	11	smaller	small	ADJ
ap-608	182	12	than	than	ADP
ap-608	182	13	the	the	DET
ap-608	182	14	fracture	fracture	NOUN
ap-608	182	15	process	process	NOUN
ap-608	182	16	zone	zone	NOUN
ap-608	182	17	,	,	PUNCT
ap-608	182	18	and	and	CCONJ
ap-608	182	19	so	so	ADV
ap-608	182	20	gf	gf	PROPN
ap-608	182	21	can	can	AUX
ap-608	182	22	not	not	PART
ap-608	182	23	matter	matter	VERB
ap-608	182	24	.	.	PUNCT
ap-608	183	1	it	it	PRON
ap-608	183	2	follows	follow	VERB
ap-608	183	3	that	that	DET
ap-608	183	4	case	case	NOUN
ap-608	183	5	(	(	PUNCT
ap-608	183	6	1	1	X
ap-608	183	7	)	)	PUNCT
ap-608	183	8	corresponds	correspond	VERB
ap-608	183	9	to	to	ADP
ap-608	183	10	the	the	DET
ap-608	183	11	small	small	ADJ
ap-608	183	12	-	-	PUNCT
ap-608	183	13	size	size	NOUN
ap-608	183	14	asymptotic	asymptotic	ADJ
ap-608	183	15	limit	limit	NOUN
ap-608	183	16	,	,	PUNCT
ap-608	183	17	i.e.	i.e.	X
ap-608	183	18	,	,	PUNCT
ap-608	183	19	a	a	DET
ap-608	183	20	horizontal	horizontal	ADJ
ap-608	183	21	asymptote	asymptote	NOUN
ap-608	183	22	in	in	ADP
ap-608	183	23	the	the	DET
ap-608	183	24	plot	plot	NOUN
ap-608	183	25	of	of	ADP
ap-608	183	26	log	log	PROPN
ap-608	183	27	�	�	PROPN
ap-608	183	28	n	n	PROPN
ap-608	183	29	versus	versus	ADP
ap-608	183	30	log	log	VERB
ap-608	183	31	d.	d.	PROPN
ap-608	183	32	when	when	SCONJ
ap-608	183	33	d	d	PROPN
ap-608	183	34	l0	l0	PROPN
ap-608	183	35	�	�	PROPN
ap-608	183	36	�	�	PROPN
ap-608	183	37	,	,	PUNCT
ap-608	183	38	the	the	DET
ap-608	183	39	fracture	fracture	NOUN
ap-608	183	40	process	process	NOUN
ap-608	183	41	zone	zone	NOUN
ap-608	183	42	is	be	AUX
ap-608	183	43	a	a	DET
ap-608	183	44	point	point	NOUN
ap-608	183	45	compared	compare	VERB
ap-608	183	46	d	d	PROPN
ap-608	183	47	,	,	PUNCT
ap-608	183	48	and	and	CCONJ
ap-608	183	49	so	so	ADV
ap-608	183	50	there	there	PRON
ap-608	183	51	is	be	VERB
ap-608	183	52	a	a	DET
ap-608	183	53	stress	stress	NOUN
ap-608	183	54	singularity	singularity	NOUN
ap-608	183	55	,	,	PUNCT
ap-608	183	56	which	which	PRON
ap-608	183	57	means	mean	VERB
ap-608	183	58	that	that	SCONJ
ap-608	183	59	the	the	DET
ap-608	183	60	local	local	ADJ
ap-608	183	61	material	material	NOUN
ap-608	183	62	strength	strength	NOUN
ap-608	183	63	can	can	AUX
ap-608	183	64	not	not	PART
ap-608	183	65	matter	matter	VERB
ap-608	183	66	.	.	PUNCT
ap-608	184	1	it	it	PRON
ap-608	184	2	follows	follow	VERB
ap-608	184	3	that	that	DET
ap-608	184	4	case	case	NOUN
ap-608	184	5	(	(	PUNCT
ap-608	184	6	2	2	X
ap-608	184	7	)	)	PUNCT
ap-608	184	8	corresponds	correspond	VERB
ap-608	184	9	to	to	ADP
ap-608	184	10	the	the	DET
ap-608	184	11	large	large	ADJ
ap-608	184	12	-	-	PUNCT
ap-608	184	13	size	size	NOUN
ap-608	184	14	asymptotic	asymptotic	ADJ
ap-608	184	15	limit	limit	NOUN
ap-608	184	16	,	,	PUNCT
ap-608	184	17	i.e.	i.e.	X
ap-608	184	18	an	an	DET
ap-608	184	19	inclined	inclined	ADJ
ap-608	184	20	asymptote	asymptote	NOUN
ap-608	184	21	of	of	ADP
ap-608	184	22	slope	slope	NOUN
ap-608	184	23	�	�	PROPN
ap-608	184	24	1/2	1/2	NUM
ap-608	184	25	in	in	ADP
ap-608	184	26	the	the	DET
ap-608	184	27	same	same	ADJ
ap-608	184	28	plot	plot	NOUN
ap-608	184	29	.	.	PUNCT
ap-608	185	1	hence	hence	ADV
ap-608	185	2	,	,	PUNCT
ap-608	185	3	for	for	ADP
ap-608	185	4	the	the	DET
ap-608	185	5	intermediate	intermediate	ADJ
ap-608	185	6	sizes	size	NOUN
ap-608	185	7	,	,	PUNCT
ap-608	185	8	the	the	DET
ap-608	185	9	size	size	NOUN
ap-608	185	10	effect	effect	NOUN
ap-608	185	11	must	must	AUX
ap-608	185	12	be	be	AUX
ap-608	185	13	a	a	DET
ap-608	185	14	gradual	gradual	ADJ
ap-608	185	15	transition	transition	NOUN
ap-608	185	16	from	from	ADP
ap-608	185	17	the	the	DET
ap-608	185	18	horizontal	horizontal	NOUN
ap-608	185	19	to	to	ADP
ap-608	185	20	the	the	DET
ap-608	185	21	inclined	inclined	ADJ
ap-608	185	22	asymptote	asymptote	NOUN
ap-608	185	23	.	.	PUNCT
ap-608	186	1	to	to	PART
ap-608	186	2	deduce	deduce	VERB
ap-608	186	3	the	the	DET
ap-608	186	4	form	form	NOUN
ap-608	186	5	of	of	ADP
ap-608	186	6	this	this	DET
ap-608	186	7	transition	transition	NOUN
ap-608	186	8	,	,	PUNCT
ap-608	186	9	one	one	PRON
ap-608	186	10	needs	need	VERB
ap-608	186	11	to	to	PART
ap-608	186	12	further	far	ADV
ap-608	186	13	take	take	VERB
ap-608	186	14	into	into	ADP
ap-608	186	15	account	account	NOUN
ap-608	186	16	the	the	DET
ap-608	186	17	known	know	VERB
ap-608	186	18	asymptotic	asymptotic	ADJ
ap-608	186	19	properties	property	NOUN
ap-608	186	20	of	of	ADP
ap-608	186	21	the	the	DET
ap-608	186	22	cohesive	cohesive	ADJ
ap-608	186	23	crack	crack	NOUN
ap-608	186	24	model	model	NOUN
ap-608	186	25	(	(	PUNCT
ap-608	186	26	bažant	bažant	PROPN
ap-608	186	27	2001	2001	NUM
ap-608	186	28	,	,	PUNCT
ap-608	186	29	2002b	2002b	NUM
ap-608	186	30	)	)	PUNCT
ap-608	186	31	.	.	PUNCT
ap-608	187	1	they	they	PRON
ap-608	187	2	may	may	AUX
ap-608	187	3	be	be	AUX
ap-608	187	4	satisfied	satisfied	ADJ
ap-608	187	5	as	as	SCONJ
ap-608	187	6	follows	follow	VERB
ap-608	187	7	(	(	PUNCT
ap-608	187	8	bažant	bažant	PROPN
ap-608	187	9	2003	2003	NUM
ap-608	187	10	)	)	PUNCT
ap-608	187	11	.	.	PUNCT
ap-608	188	1	from	from	ADP
ap-608	188	2	the	the	DET
ap-608	188	3	governing	govern	VERB
ap-608	188	4	parameters	parameter	NOUN
ap-608	188	5	of	of	ADP
ap-608	188	6	the	the	DET
ap-608	188	7	failure	failure	NOUN
ap-608	188	8	problem	problem	NOUN
ap-608	188	9	,	,	PUNCT
ap-608	188	10	�	�	PROPN
ap-608	188	11	n	n	CCONJ
ap-608	188	12	,	,	PUNCT
ap-608	188	13	d	d	PROPN
ap-608	188	14	,	,	PUNCT
ap-608	188	15	�	�	PROPN
ap-608	188	16	ft	ft	NOUN
ap-608	188	17	,	,	PUNCT
ap-608	188	18	gf	gf	NOUN
ap-608	188	19	and	and	CCONJ
ap-608	188	20	e	e	NOUN
ap-608	188	21	,	,	PUNCT
ap-608	188	22	we	we	PRON
ap-608	188	23	may	may	AUX
ap-608	188	24	form	form	VERB
ap-608	188	25	,	,	PUNCT
ap-608	188	26	according	accord	VERB
ap-608	188	27	to	to	ADP
ap-608	188	28	buckingham	buckingham	PROPN
ap-608	188	29	’s	’s	PART
ap-608	188	30	�	�	NOUN
ap-608	188	31	-theorem	-theorem	ADJ
ap-608	188	32	,	,	PUNCT
ap-608	188	33	two	two	NUM
ap-608	188	34	and	and	CCONJ
ap-608	188	35	only	only	ADV
ap-608	188	36	two	two	NUM
ap-608	188	37	independent	independent	ADJ
ap-608	188	38	dimensionless	dimensionless	NOUN
ap-608	188	39	parameters	parameter	NOUN
ap-608	188	40	,	,	PUNCT
ap-608	188	41	which	which	PRON
ap-608	188	42	we	we	PRON
ap-608	188	43	choose	choose	VERB
ap-608	188	44	as	as	ADP
ap-608	188	45	�	�	NOUN
ap-608	188	46	1	1	NUM
ap-608	188	47	2	2	NUM
ap-608	188	48	�	�	PROPN
ap-608	188	49	�	�	PROPN
ap-608	188	50	�	�	PROPN
ap-608	188	51	n	n	CCONJ
ap-608	188	52	fe	fe	X
ap-608	188	53	g	g	PROPN
ap-608	188	54	,	,	PUNCT
ap-608	188	55	�	�	PROPN
ap-608	188	56	2	2	NUM
ap-608	188	57	2	2	NUM
ap-608	188	58	2	2	NUM
ap-608	188	59	�	�	PROPN
ap-608	188	60	�	�	PROPN
ap-608	188	61	�	�	PROPN
ap-608	188	62	n	n	PROPN
ap-608	188	63	tf	tf	INTJ
ap-608	188	64	,	,	PUNCT
ap-608	188	65	(	(	PUNCT
ap-608	188	66	12	12	NUM
ap-608	188	67	)	)	PUNCT
ap-608	188	68	(	(	PUNCT
ap-608	188	69	note	note	VERB
ap-608	188	70	that	that	SCONJ
ap-608	188	71	,	,	PUNCT
ap-608	188	72	for	for	ADP
ap-608	188	73	size	size	NOUN
ap-608	188	74	effect	effect	NOUN
ap-608	188	75	,	,	PUNCT
ap-608	188	76	the	the	DET
ap-608	188	77	ratios	ratio	NOUN
ap-608	188	78	of	of	ADP
ap-608	188	79	the	the	DET
ap-608	188	80	structural	structural	ADJ
ap-608	188	81	dimensions	dimension	NOUN
ap-608	188	82	characterizing	characterize	VERB
ap-608	188	83	the	the	DET
ap-608	188	84	geometry	geometry	NOUN
ap-608	188	85	may	may	AUX
ap-608	188	86	be	be	AUX
ap-608	188	87	ignored	ignore	VERB
ap-608	188	88	because	because	SCONJ
ap-608	188	89	they	they	PRON
ap-608	188	90	remain	remain	VERB
ap-608	188	91	constant	constant	ADJ
ap-608	188	92	when	when	SCONJ
ap-608	188	93	the	the	DET
ap-608	188	94	structure	structure	NOUN
ap-608	188	95	is	be	AUX
ap-608	188	96	scaled	scale	VERB
ap-608	188	97	up	up	ADP
ap-608	188	98	or	or	CCONJ
ap-608	188	99	down	down	ADV
ap-608	188	100	)	)	PUNCT
ap-608	188	101	.	.	PUNCT
ap-608	189	1	the	the	DET
ap-608	189	2	equation	equation	NOUN
ap-608	189	3	governing	govern	VERB
ap-608	189	4	failure	failure	NOUN
ap-608	189	5	may	may	AUX
ap-608	189	6	,	,	PUNCT
ap-608	189	7	therefore	therefore	ADV
ap-608	189	8	,	,	PUNCT
ap-608	189	9	be	be	AUX
ap-608	189	10	assumed	assume	VERB
ap-608	189	11	in	in	ADP
ap-608	189	12	the	the	DET
ap-608	189	13	form	form	NOUN
ap-608	189	14	:	:	PUNCT
ap-608	189	15	f	f	PROPN
ap-608	189	16	(	(	PUNCT
ap-608	189	17	�	�	PROPN
ap-608	189	18	1	1	NUM
ap-608	189	19	,	,	PUNCT
ap-608	189	20	�	�	NOUN
ap-608	189	21	2	2	NUM
ap-608	189	22	)	)	PUNCT
ap-608	189	23	�	�	PROPN
ap-608	189	24	0	0	NUM
ap-608	189	25	.	.	PUNCT
ap-608	190	1	if	if	SCONJ
ap-608	190	2	function	function	NOUN
ap-608	190	3	f	f	PROPN
ap-608	190	4	is	be	AUX
ap-608	190	5	assumed	assume	VERB
ap-608	190	6	to	to	PART
ap-608	190	7	be	be	AUX
ap-608	190	8	smooth	smooth	ADJ
ap-608	190	9	,	,	PUNCT
ap-608	190	10	we	we	PRON
ap-608	190	11	can	can	AUX
ap-608	190	12	approximate	approximate	VERB
ap-608	190	13	it	it	PRON
ap-608	190	14	by	by	ADP
ap-608	190	15	taylor	taylor	PROPN
ap-608	190	16	series	series	PROPN
ap-608	190	17	truncated	truncate	VERB
ap-608	190	18	after	after	ADP
ap-608	190	19	the	the	DET
ap-608	190	20	linear	linear	PROPN
ap-608	190	21	terms	term	NOUN
ap-608	190	22	:	:	PUNCT
ap-608	190	23	�	�	PROPN
ap-608	190	24	�	�	PROPN
ap-608	190	25	�	�	PROPN
ap-608	190	26	f	f	PROPN
ap-608	190	27	f	f	PROPN
ap-608	190	28	f	f	PROPN
ap-608	190	29	f	f	X
ap-608	190	30	�	�	PROPN
ap-608	190	31	�	�	PROPN
ap-608	190	32	�	�	PROPN
ap-608	190	33	*	*	PROPN
ap-608	190	34	1	1	NUM
ap-608	190	35	1	1	NUM
ap-608	190	36	2	2	NUM
ap-608	190	37	2	2	NUM
ap-608	190	38	,	,	PUNCT
ap-608	190	39	(	(	PUNCT
ap-608	190	40	13	13	NUM
ap-608	190	41	)	)	PUNCT
ap-608	190	42	where	where	SCONJ
ap-608	190	43	:	:	PUNCT
ap-608	190	44	f	f	PROPN
ap-608	190	45	fi	fi	NOUN
ap-608	190	46	i	i	PRON
ap-608	190	47	�	�	PROPN
ap-608	190	48	�	�	PROPN
ap-608	190	49	�	�	PROPN
ap-608	190	50	�	�	PROPN
ap-608	190	51	(	(	PUNCT
ap-608	190	52	i	i	PRON
ap-608	190	53	�	�	PROPN
ap-608	190	54	1	1	NUM
ap-608	190	55	,	,	PUNCT
ap-608	190	56	2	2	NUM
ap-608	190	57	)	)	PUNCT
ap-608	190	58	,	,	PUNCT
ap-608	190	59	�	�	PROPN
ap-608	190	60	1	1	NUM
ap-608	190	61	2	2	NUM
ap-608	190	62	�	�	PROPN
ap-608	190	63	�	�	PROPN
ap-608	190	64	�	�	PROPN
ap-608	190	65	n	n	NUM
ap-608	190	66	fe	fe	NOUN
ap-608	190	67	g	g	PROPN
ap-608	190	68	and	and	CCONJ
ap-608	190	69	�	�	PROPN
ap-608	190	70	2	2	NUM
ap-608	190	71	2	2	NUM
ap-608	190	72	2	2	NUM
ap-608	190	73	�	�	PROPN
ap-608	190	74	�	�	PROPN
ap-608	190	75	�	�	PROPN
ap-608	190	76	n	n	ADV
ap-608	190	77	tf	tf	PROPN
ap-608	190	78	(	(	PUNCT
ap-608	190	79	bažant	bažant	PROPN
ap-608	190	80	2003	2003	NUM
ap-608	190	81	)	)	PUNCT
ap-608	190	82	.	.	PUNCT
ap-608	191	1	substituting	substitute	VERB
ap-608	191	2	these	these	DET
ap-608	191	3	values	value	NOUN
ap-608	191	4	into	into	ADP
ap-608	191	5	eq	eq	NOUN
ap-608	191	6	.	.	PUNCT
ap-608	192	1	(	(	PUNCT
ap-608	192	2	13	13	NUM
ap-608	192	3	)	)	PUNCT
ap-608	192	4	and	and	CCONJ
ap-608	192	5	solving	solve	VERB
ap-608	192	6	for	for	ADP
ap-608	192	7	�	�	NOUN
ap-608	192	8	n	n	CCONJ
ap-608	192	9	,	,	PUNCT
ap-608	192	10	one	one	PRON
ap-608	192	11	gets	get	VERB
ap-608	192	12	an	an	DET
ap-608	192	13	equation	equation	NOUN
ap-608	192	14	of	of	ADP
ap-608	192	15	the	the	DET
ap-608	192	16	form	form	NOUN
ap-608	192	17	of	of	ADP
ap-608	192	18	bažant	bažant	PROPN
ap-608	192	19	’s	’s	PART
ap-608	192	20	classical	classical	ADJ
ap-608	192	21	size	size	NOUN
ap-608	192	22	effect	effect	NOUN
ap-608	192	23	law	law	NOUN
ap-608	192	24	(	(	PUNCT
ap-608	192	25	1984	1984	NUM
ap-608	192	26	):	):	PUNCT
ap-608	192	27	�	�	PROPN
ap-608	192	28	�	�	PROPN
ap-608	192	29	n	n	PROPN
ap-608	192	30	d	d	NOUN
ap-608	192	31	d	d	PROPN
ap-608	192	32	�	�	PROPN
ap-608	192	33	�	�	PROPN
ap-608	192	34	�	�	PROPN
ap-608	192	35	0	0	NUM
ap-608	192	36	0	0	NUM
ap-608	192	37	1	1	NUM
ap-608	192	38	21	21	NUM
ap-608	192	39	(	(	PUNCT
ap-608	192	40	)	)	PUNCT
ap-608	192	41	.	.	PUNCT
ap-608	193	1	(	(	PUNCT
ap-608	193	2	14	14	NUM
ap-608	193	3	)	)	PUNCT
ap-608	193	4	this	this	DET
ap-608	193	5	function	function	NOUN
ap-608	193	6	satisfies	satisfy	VERB
ap-608	193	7	the	the	DET
ap-608	193	8	first	first	ADJ
ap-608	193	9	two	two	NUM
ap-608	193	10	asymptotic	asymptotic	ADJ
ap-608	193	11	terms	term	NOUN
ap-608	193	12	of	of	ADP
ap-608	193	13	both	both	CCONJ
ap-608	193	14	the	the	DET
ap-608	193	15	large	large	ADJ
ap-608	193	16	-	-	PUNCT
ap-608	193	17	size	size	NOUN
ap-608	193	18	and	and	CCONJ
ap-608	193	19	the	the	DET
ap-608	193	20	small	small	ADJ
ap-608	193	21	-	-	PUNCT
ap-608	193	22	size	size	NOUN
ap-608	193	23	asymptotic	asymptotic	ADJ
ap-608	193	24	expansions	expansion	NOUN
ap-608	193	25	of	of	ADP
ap-608	193	26	the	the	DET
ap-608	193	27	cohesive	cohesive	ADJ
ap-608	193	28	crack	crack	NOUN
ap-608	193	29	model	model	NOUN
ap-608	193	30	(	(	PUNCT
ap-608	193	31	bažant	bažant	PROPN
ap-608	193	32	2001	2001	NUM
ap-608	193	33	,	,	PUNCT
ap-608	193	34	2002	2002	NUM
ap-608	193	35	)	)	PUNCT
ap-608	193	36	.	.	PUNCT
ap-608	194	1	if	if	SCONJ
ap-608	194	2	we	we	PRON
ap-608	194	3	chose	choose	VERB
ap-608	194	4	for	for	ADP
ap-608	194	5	�	�	PROPN
ap-608	194	6	1	1	NUM
ap-608	194	7	and	and	CCONJ
ap-608	194	8	�	�	NOUN
ap-608	194	9	2	2	NUM
ap-608	194	10	any	any	DET
ap-608	194	11	other	other	ADJ
ap-608	194	12	dimensionless	dimensionless	NOUN
ap-608	194	13	monomial	monomial	NOUN
ap-608	194	14	,	,	PUNCT
ap-608	194	15	these	these	DET
ap-608	194	16	asymptotic	asymptotic	ADJ
ap-608	194	17	conditions	condition	NOUN
ap-608	194	18	could	could	AUX
ap-608	194	19	not	not	PART
ap-608	194	20	be	be	AUX
ap-608	194	21	satisfied	satisfied	ADJ
ap-608	194	22	.	.	PUNCT
ap-608	195	1	this	this	PRON
ap-608	195	2	proves	prove	VERB
ap-608	195	3	that	that	SCONJ
ap-608	195	4	(	(	PUNCT
ap-608	195	5	14	14	NUM
ap-608	195	6	)	)	PUNCT
ap-608	195	7	is	be	AUX
ap-608	195	8	the	the	DET
ap-608	195	9	proper	proper	ADJ
ap-608	195	10	asymptotic	asymptotic	ADJ
ap-608	195	11	matching	matching	NOUN
ap-608	195	12	formula	formula	NOUN
ap-608	195	13	.	.	PUNCT
ap-608	196	1	for	for	ADP
ap-608	196	2	a	a	DET
ap-608	196	3	cohesive	cohesive	ADJ
ap-608	196	4	crack	crack	NOUN
ap-608	196	5	with	with	ADP
ap-608	196	6	its	its	PRON
ap-608	196	7	fpz	fpz	NOUN
ap-608	196	8	attached	attach	VERB
ap-608	196	9	to	to	ADP
ap-608	196	10	either	either	CCONJ
ap-608	196	11	a	a	DET
ap-608	196	12	notch	notch	NOUN
ap-608	196	13	or	or	CCONJ
ap-608	196	14	a	a	DET
ap-608	196	15	stress	stress	NOUN
ap-608	196	16	-	-	PUNCT
ap-608	196	17	free	free	ADJ
ap-608	196	18	(	(	PUNCT
ap-608	196	19	fatigued	fatigued	ADJ
ap-608	196	20	)	)	PUNCT
ap-608	196	21	crack	crack	NOUN
ap-608	196	22	,	,	PUNCT
ap-608	196	23	the	the	DET
ap-608	196	24	first	first	ADJ
ap-608	196	25	two	two	NUM
ap-608	196	26	terms	term	NOUN
ap-608	196	27	of	of	ADP
ap-608	196	28	the	the	DET
ap-608	196	29	small	small	ADJ
ap-608	196	30	-	-	PUNCT
ap-608	196	31	size	size	NOUN
ap-608	196	32	asymptotic	asymptotic	ADJ
ap-608	196	33	series	series	NOUN
ap-608	196	34	expansion	expansion	NOUN
ap-608	196	35	in	in	ADP
ap-608	196	36	terms	term	NOUN
ap-608	196	37	of	of	ADP
ap-608	196	38	powers	power	NOUN
ap-608	196	39	of	of	ADP
ap-608	196	40	d	d	PROPN
ap-608	196	41	,	,	PUNCT
ap-608	196	42	as	as	ADV
ap-608	196	43	well	well	ADV
ap-608	196	44	as	as	ADP
ap-608	196	45	the	the	DET
ap-608	196	46	first	first	ADJ
ap-608	196	47	two	two	NUM
ap-608	196	48	terms	term	NOUN
ap-608	196	49	of	of	ADP
ap-608	196	50	the	the	DET
ap-608	196	51	large	large	ADJ
ap-608	196	52	-	-	PUNCT
ap-608	196	53	size	size	NOUN
ap-608	196	54	asymptotic	asymptotic	ADJ
ap-608	196	55	series	series	NOUN
ap-608	196	56	expansion	expansion	NOUN
ap-608	196	57	in	in	ADP
ap-608	196	58	terms	term	NOUN
ap-608	196	59	of	of	ADP
ap-608	196	60	powers	power	NOUN
ap-608	196	61	of	of	ADP
ap-608	196	62	1	1	NUM
ap-608	196	63	/	/	SYM
ap-608	196	64	d	d	NOUN
ap-608	196	65	(	(	PUNCT
ap-608	196	66	bažant	bažant	PROPN
ap-608	196	67	2001	2001	NUM
ap-608	196	68	)	)	PUNCT
ap-608	196	69	,	,	PUNCT
ap-608	196	70	were	be	AUX
ap-608	196	71	previously	previously	ADV
ap-608	196	72	shown	show	VERB
ap-608	196	73	to	to	PART
ap-608	196	74	be	be	AUX
ap-608	196	75	matched	match	VERB
ap-608	196	76	by	by	ADP
ap-608	196	77	the	the	DET
ap-608	196	78	asymptotic	asymptotic	ADJ
ap-608	196	79	expansions	expansion	NOUN
ap-608	196	80	of	of	ADP
ap-608	196	81	this	this	DET
ap-608	196	82	law	law	NOUN
ap-608	196	83	.	.	PUNCT
ap-608	197	1	if	if	SCONJ
ap-608	197	2	different	different	ADJ
ap-608	197	3	dimensionless	dimensionless	NOUN
ap-608	197	4	variables	variable	NOUN
ap-608	197	5	�	�	PROPN
ap-608	197	6	1	1	NUM
ap-608	197	7	and	and	CCONJ
ap-608	197	8	�	�	NOUN
ap-608	197	9	2	2	NUM
ap-608	197	10	were	be	AUX
ap-608	197	11	chosen	choose	VERB
ap-608	197	12	,	,	PUNCT
ap-608	197	13	different	different	ADJ
ap-608	197	14	size	size	NOUN
ap-608	197	15	effect	effect	NOUN
ap-608	197	16	laws	law	NOUN
ap-608	197	17	would	would	AUX
ap-608	197	18	result	result	VERB
ap-608	197	19	by	by	ADP
ap-608	197	20	using	use	VERB
ap-608	197	21	the	the	DET
ap-608	197	22	same	same	ADJ
ap-608	197	23	logical	logical	ADJ
ap-608	197	24	procedure	procedure	NOUN
ap-608	197	25	.	.	PUNCT
ap-608	198	1	however	however	ADV
ap-608	198	2	,	,	PUNCT
ap-608	198	3	these	these	DET
ap-608	198	4	laws	law	NOUN
ap-608	198	5	either	either	CCONJ
ap-608	198	6	would	would	AUX
ap-608	198	7	not	not	PART
ap-608	198	8	match	match	VERB
ap-608	198	9	the	the	DET
ap-608	198	10	asymptotic	asymptotic	ADJ
ap-608	198	11	properties	property	NOUN
ap-608	198	12	of	of	ADP
ap-608	198	13	the	the	DET
ap-608	198	14	cohesive	cohesive	ADJ
ap-608	198	15	crack	crack	NOUN
ap-608	198	16	model	model	NOUN
ap-608	198	17	,	,	PUNCT
ap-608	198	18	or	or	CCONJ
ap-608	198	19	would	would	AUX
ap-608	198	20	lead	lead	VERB
ap-608	198	21	to	to	ADP
ap-608	198	22	more	more	ADV
ap-608	198	23	complex	complex	ADJ
ap-608	198	24	size	size	NOUN
ap-608	198	25	effect	effect	NOUN
ap-608	198	26	formulas	formula	NOUN
ap-608	198	27	differing	differ	VERB
ap-608	198	28	from	from	ADP
ap-608	198	29	(	(	PUNCT
ap-608	198	30	14	14	NUM
ap-608	198	31	)	)	PUNCT
ap-608	198	32	only	only	ADV
ap-608	198	33	by	by	ADP
ap-608	198	34	thirdand	thirdand	ADJ
ap-608	198	35	higher	high	ADJ
ap-608	198	36	-	-	PUNCT
ap-608	198	37	order	order	NOUN
ap-608	198	38	terms	term	NOUN
ap-608	198	39	of	of	ADP
ap-608	198	40	the	the	DET
ap-608	198	41	asymptotic	asymptotic	ADJ
ap-608	198	42	expansions	expansion	NOUN
ap-608	198	43	(	(	PUNCT
ap-608	198	44	bažant	bažant	NOUN
ap-608	198	45	2003	2003	NUM
ap-608	198	46	)	)	PUNCT
ap-608	198	47	.	.	PUNCT
ap-608	199	1	thus	thus	ADV
ap-608	199	2	,	,	PUNCT
ap-608	199	3	if	if	SCONJ
ap-608	199	4	the	the	DET
ap-608	199	5	dimensional	dimensional	ADJ
ap-608	199	6	analysis	analysis	NOUN
ap-608	199	7	is	be	AUX
ap-608	199	8	combined	combine	VERB
ap-608	199	9	with	with	ADP
ap-608	199	10	the	the	DET
ap-608	199	11	known	know	VERB
ap-608	199	12	asymptotic	asymptotic	ADJ
ap-608	199	13	requirements	requirement	NOUN
ap-608	199	14	,	,	PUNCT
ap-608	199	15	the	the	DET
ap-608	199	16	resulting	result	VERB
ap-608	199	17	size	size	NOUN
ap-608	199	18	effect	effect	NOUN
ap-608	199	19	law	law	NOUN
ap-608	199	20	is	be	AUX
ap-608	199	21	unique	unique	ADJ
ap-608	199	22	(	(	PUNCT
ap-608	199	23	except	except	SCONJ
ap-608	199	24	for	for	ADP
ap-608	199	25	complex	complex	ADJ
ap-608	199	26	formulas	formula	NOUN
ap-608	199	27	with	with	ADP
ap-608	199	28	higher	high	ADJ
ap-608	199	29	than	than	ADP
ap-608	199	30	second	second	ADJ
ap-608	199	31	-	-	PUNCT
ap-608	199	32	order	order	NOUN
ap-608	199	33	deviations	deviation	NOUN
ap-608	199	34	)	)	PUNCT
ap-608	199	35	.	.	PUNCT
ap-608	200	1	it	it	PRON
ap-608	200	2	may	may	AUX
ap-608	200	3	be	be	AUX
ap-608	200	4	noted	note	VERB
ap-608	200	5	that	that	SCONJ
ap-608	200	6	a	a	DET
ap-608	200	7	size	size	NOUN
ap-608	200	8	effect	effect	NOUN
ap-608	200	9	formula	formula	NOUN
ap-608	200	10	recently	recently	ADV
ap-608	200	11	promulgated	promulgate	VERB
ap-608	200	12	by	by	ADP
ap-608	200	13	karihaloo	karihaloo	PROPN
ap-608	200	14	(	(	PUNCT
ap-608	200	15	1999	1999	NUM
ap-608	200	16	)	)	PUNCT
ap-608	200	17	,	,	PUNCT
ap-608	200	18	and	and	CCONJ
ap-608	200	19	karihaloo	karihaloo	VERB
ap-608	200	20	et	et	PROPN
ap-608	200	21	al	al	PROPN
ap-608	200	22	.	.	PROPN
ap-608	201	1	(	(	PUNCT
ap-608	201	2	2003	2003	NUM
ap-608	201	3	)	)	PUNCT
ap-608	201	4	,	,	PUNCT
ap-608	201	5	�	�	PROPN
ap-608	201	6	n	n	PROPN
ap-608	201	7	d	d	PROPN
ap-608	201	8	d	d	PROPN
ap-608	201	9	�	�	PROPN
ap-608	201	10	�	�	PROPN
ap-608	201	11	(	(	PUNCT
ap-608	201	12	)	)	PUNCT
ap-608	201	13	1	1	NUM
ap-608	201	14	0	0	NUM
ap-608	201	15	1	1	NUM
ap-608	201	16	2	2	NUM
ap-608	201	17	,	,	PUNCT
ap-608	201	18	is	be	AUX
ap-608	201	19	not	not	PART
ap-608	201	20	an	an	DET
ap-608	201	21	asymptotic	asymptotic	ADJ
ap-608	201	22	matching	matching	NOUN
ap-608	201	23	formula	formula	NOUN
ap-608	201	24	because	because	SCONJ
ap-608	201	25	it	it	PRON
ap-608	201	26	matches	match	VERB
ap-608	201	27	only	only	ADV
ap-608	201	28	the	the	DET
ap-608	201	29	first	first	ADJ
ap-608	201	30	two	two	NUM
ap-608	201	31	terms	term	NOUN
ap-608	201	32	of	of	ADP
ap-608	201	33	the	the	DET
ap-608	201	34	large	large	ADJ
ap-608	201	35	-	-	PUNCT
ap-608	201	36	size	size	NOUN
ap-608	201	37	asymptotic	asymptotic	ADJ
ap-608	201	38	expansion	expansion	NOUN
ap-608	201	39	in	in	ADP
ap-608	201	40	terms	term	NOUN
ap-608	201	41	of	of	ADP
ap-608	201	42	powers	power	NOUN
ap-608	201	43	of	of	ADP
ap-608	201	44	1	1	NUM
ap-608	201	45	/	/	SYM
ap-608	201	46	d	d	NOUN
ap-608	201	47	,	,	PUNCT
ap-608	201	48	but	but	CCONJ
ap-608	201	49	not	not	PART
ap-608	201	50	the	the	DET
ap-608	201	51	terms	term	NOUN
ap-608	201	52	of	of	ADP
ap-608	201	53	the	the	DET
ap-608	201	54	small	small	ADJ
ap-608	201	55	-	-	PUNCT
ap-608	201	56	size	size	NOUN
ap-608	201	57	expansion	expansion	NOUN
ap-608	201	58	in	in	ADP
ap-608	201	59	powers	power	NOUN
ap-608	201	60	of	of	ADP
ap-608	201	61	d.	d.	PROPN
ap-608	201	62	12	12	NUM
ap-608	201	63	©	©	PROPN
ap-608	201	64	czech	czech	PROPN
ap-608	201	65	technical	technical	PROPN
ap-608	201	66	university	university	PROPN
ap-608	201	67	publishing	publishing	NOUN
ap-608	201	68	house	house	NOUN
ap-608	201	69	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-608	201	70	acta	acta	PROPN
ap-608	201	71	polytechnica	polytechnica	PROPN
ap-608	201	72	vol	vol	NOUN
ap-608	201	73	.	.	PROPN
ap-608	202	1	44	44	NUM
ap-608	202	2	no	no	NOUN
ap-608	202	3	.	.	PUNCT
ap-608	203	1	5–6/2004	5–6/2004	NUM
ap-608	203	2	the	the	DET
ap-608	203	3	foregoing	forego	VERB
ap-608	203	4	argument	argument	NOUN
ap-608	203	5	is	be	AUX
ap-608	203	6	not	not	PART
ap-608	203	7	valid	valid	ADJ
ap-608	203	8	for	for	ADP
ap-608	203	9	failure	failure	NOUN
ap-608	203	10	at	at	ADP
ap-608	203	11	crack	crack	NOUN
ap-608	203	12	initiation	initiation	NOUN
ap-608	203	13	because	because	SCONJ
ap-608	203	14	the	the	DET
ap-608	203	15	energy	energy	NOUN
ap-608	203	16	release	release	NOUN
ap-608	203	17	rate	rate	NOUN
ap-608	203	18	at	at	ADP
ap-608	203	19	crack	crack	NOUN
ap-608	203	20	initiation	initiation	NOUN
ap-608	203	21	vanishes	vanish	VERB
ap-608	203	22	.	.	PUNCT
ap-608	204	1	the	the	DET
ap-608	204	2	size	size	NOUN
ap-608	204	3	effect	effect	NOUN
ap-608	204	4	is	be	AUX
ap-608	204	5	here	here	ADV
ap-608	204	6	governed	govern	VERB
ap-608	204	7	by	by	ADP
ap-608	204	8	the	the	DET
ap-608	204	9	derivatives	derivative	NOUN
ap-608	204	10	of	of	ADP
ap-608	204	11	the	the	DET
ap-608	204	12	energy	energy	NOUN
ap-608	204	13	release	release	NOUN
ap-608	204	14	rate	rate	NOUN
ap-608	204	15	,	,	PUNCT
ap-608	204	16	for	for	ADP
ap-608	204	17	which	which	PRON
ap-608	204	18	gf	gf	NOUN
ap-608	204	19	is	be	AUX
ap-608	204	20	immaterial	immaterial	ADJ
ap-608	204	21	.	.	PUNCT
ap-608	205	1	7	7	NUM
ap-608	205	2	design	design	NOUN
ap-608	205	3	formula	formula	NOUN
ap-608	205	4	with	with	ADP
ap-608	205	5	size	size	NOUN
ap-608	205	6	effect	effect	NOUN
ap-608	205	7	for	for	ADP
ap-608	205	8	shear	shear	NOUN
ap-608	205	9	capacity	capacity	NOUN
ap-608	205	10	of	of	ADP
ap-608	205	11	rc	rc	PROPN
ap-608	205	12	beams	beam	NOUN
ap-608	205	13	the	the	DET
ap-608	205	14	time	time	NOUN
ap-608	205	15	is	be	AUX
ap-608	205	16	now	now	ADV
ap-608	205	17	ripe	ripe	ADJ
ap-608	205	18	for	for	ADP
ap-608	205	19	adding	add	VERB
ap-608	205	20	size	size	NOUN
ap-608	205	21	effect	effect	NOUN
ap-608	205	22	to	to	ADP
ap-608	205	23	all	all	DET
ap-608	205	24	the	the	DET
ap-608	205	25	design	design	NOUN
ap-608	205	26	specifications	specification	NOUN
ap-608	205	27	dealing	deal	VERB
ap-608	205	28	with	with	ADP
ap-608	205	29	brittle	brittle	ADJ
ap-608	205	30	failures	failure	NOUN
ap-608	205	31	of	of	ADP
ap-608	205	32	concrete	concrete	ADJ
ap-608	205	33	structures	structure	NOUN
ap-608	205	34	(	(	PUNCT
ap-608	205	35	shear	shear	NOUN
ap-608	205	36	and	and	CCONJ
ap-608	205	37	torsion	torsion	NOUN
ap-608	205	38	of	of	ADP
ap-608	205	39	r.c	r.c	PROPN
ap-608	205	40	.	.	PROPN
ap-608	205	41	beams	beam	NOUN
ap-608	205	42	with	with	ADP
ap-608	205	43	or	or	CCONJ
ap-608	205	44	without	without	ADP
ap-608	205	45	stirrups	stirrup	NOUN
ap-608	205	46	,	,	PUNCT
ap-608	205	47	slab	slab	NOUN
ap-608	205	48	punching	punching	NOUN
ap-608	205	49	,	,	PUNCT
ap-608	205	50	column	column	NOUN
ap-608	205	51	failure	failure	NOUN
ap-608	205	52	,	,	PUNCT
ap-608	205	53	bar	bar	NOUN
ap-608	205	54	embedment	embedment	ADJ
ap-608	205	55	length	length	NOUN
ap-608	205	56	,	,	PUNCT
ap-608	205	57	splices	splice	NOUN
ap-608	205	58	,	,	PUNCT
ap-608	205	59	bearing	bearing	NOUN
ap-608	205	60	strength	strength	NOUN
ap-608	205	61	,	,	PUNCT
ap-608	205	62	plain	plain	ADJ
ap-608	205	63	concrete	concrete	ADJ
ap-608	205	64	flexure	flexure	NOUN
ap-608	205	65	,	,	PUNCT
ap-608	205	66	etc	etc	X
ap-608	205	67	.	.	X
ap-608	205	68	)	)	PUNCT
ap-608	205	69	.	.	PUNCT
ap-608	206	1	in	in	ADP
ap-608	206	2	aci	aci	PROPN
ap-608	206	3	standard	standard	PROPN
ap-608	206	4	318	318	NUM
ap-608	206	5	,	,	PUNCT
ap-608	206	6	only	only	ADV
ap-608	206	7	the	the	DET
ap-608	206	8	new	new	ADJ
ap-608	206	9	formula	formula	NOUN
ap-608	206	10	for	for	ADP
ap-608	206	11	anchor	anchor	NOUN
ap-608	206	12	pullout	pullout	NOUN
ap-608	206	13	includes	include	VERB
ap-608	206	14	the	the	DET
ap-608	206	15	size	size	NOUN
ap-608	206	16	effect	effect	NOUN
ap-608	206	17	(	(	PUNCT
ap-608	206	18	of	of	ADP
ap-608	206	19	lefm	lefm	PROPN
ap-608	206	20	type	type	NOUN
ap-608	206	21	)	)	PUNCT
ap-608	206	22	.	.	PUNCT
ap-608	207	1	by	by	ADP
ap-608	207	2	analysis	analysis	NOUN
ap-608	207	3	of	of	ADP
ap-608	207	4	the	the	DET
ap-608	207	5	latest	late	ADJ
ap-608	207	6	aci	aci	NOUN
ap-608	207	7	445	445	NUM
ap-608	207	8	database	database	NOUN
ap-608	207	9	with	with	ADP
ap-608	207	10	398	398	NUM
ap-608	207	11	data	datum	NOUN
ap-608	207	12	(	(	PUNCT
ap-608	207	13	reineck	reineck	NOUN
ap-608	207	14	et	et	PROPN
ap-608	207	15	al	al	PROPN
ap-608	207	16	.	.	PROPN
ap-608	207	17	2003	2003	NUM
ap-608	207	18	)	)	PUNCT
ap-608	207	19	,	,	PUNCT
ap-608	207	20	representing	represent	VERB
ap-608	207	21	an	an	DET
ap-608	207	22	update	update	NOUN
ap-608	207	23	of	of	ADP
ap-608	207	24	1984	1984	NUM
ap-608	207	25	and	and	CCONJ
ap-608	207	26	1986	1986	NUM
ap-608	207	27	northwestern	northwestern	ADJ
ap-608	207	28	university	university	NOUN
ap-608	207	29	databases	database	NOUN
ap-608	207	30	(	(	PUNCT
ap-608	207	31	with	with	ADP
ap-608	207	32	296	296	NUM
ap-608	207	33	data	datum	NOUN
ap-608	207	34	)	)	PUNCT
ap-608	207	35	,	,	PUNCT
ap-608	207	36	two	two	NUM
ap-608	207	37	improved	improve	VERB
ap-608	207	38	formulas	formula	NOUN
ap-608	207	39	for	for	ADP
ap-608	207	40	shear	shear	NOUN
ap-608	207	41	failure	failure	NOUN
ap-608	207	42	of	of	ADP
ap-608	207	43	reinforced	reinforce	VERB
ap-608	207	44	concrete	concrete	ADJ
ap-608	207	45	beams	beam	NOUN
ap-608	207	46	without	without	ADP
ap-608	207	47	stirrups	stirrup	NOUN
ap-608	207	48	,	,	PUNCT
ap-608	207	49	having	have	VERB
ap-608	207	50	the	the	DET
ap-608	207	51	simplicity	simplicity	NOUN
ap-608	207	52	desired	desire	VERB
ap-608	207	53	in	in	ADP
ap-608	207	54	aci	aci	PROPN
ap-608	207	55	,	,	PUNCT
ap-608	207	56	have	have	AUX
ap-608	207	57	recently	recently	ADV
ap-608	207	58	been	be	AUX
ap-608	207	59	developed	develop	VERB
ap-608	207	60	by	by	ADP
ap-608	207	61	asymptotic	asymptotic	ADJ
ap-608	207	62	matching	matching	NOUN
ap-608	207	63	of	of	ADP
ap-608	207	64	first	first	ADJ
ap-608	207	65	or	or	CCONJ
ap-608	207	66	second	second	ADJ
ap-608	207	67	order	order	NOUN
ap-608	207	68	(	(	PUNCT
ap-608	207	69	bažant	bažant	ADJ
ap-608	207	70	and	and	CCONJ
ap-608	207	71	yu	yu	PRON
ap-608	207	72	2003);	2003);	NUM
ap-608	207	73	see	see	VERB
ap-608	207	74	fig	fig	NOUN
ap-608	207	75	.	.	PUNCT
ap-608	208	1	5	5	NUM
ap-608	208	2	(	(	PUNCT
ap-608	208	3	vc	vc	PROPN
ap-608	208	4	�	�	PROPN
ap-608	208	5	�	�	PROPN
ap-608	208	6	n	n	CCONJ
ap-608	208	7	�	�	PROPN
ap-608	208	8	mean	mean	NOUN
ap-608	208	9	shear	shear	NOUN
ap-608	208	10	stress	stress	NOUN
ap-608	208	11	in	in	ADP
ap-608	208	12	the	the	DET
ap-608	208	13	cross	cross	NOUN
ap-608	208	14	sections	section	NOUN
ap-608	208	15	at	at	ADP
ap-608	208	16	failure	failure	NOUN
ap-608	208	17	,	,	PUNCT
ap-608	208	18	d	d	PROPN
ap-608	208	19	�	�	PROPN
ap-608	208	20	beam	beam	NOUN
ap-608	208	21	depth	depth	NOUN
ap-608	208	22	up	up	ADP
ap-608	208	23	to	to	ADP
ap-608	208	24	reinforcement	reinforcement	NOUN
ap-608	208	25	centroid	centroid	NOUN
ap-608	208	26	,	,	PUNCT
ap-608	208	27	�	�	PROPN
ap-608	208	28	�	�	PROPN
ap-608	208	29	fc	fc	PROPN
ap-608	208	30	standard	standard	PROPN
ap-608	208	31	compression	compression	NOUN
ap-608	208	32	strength	strength	NOUN
ap-608	208	33	of	of	ADP
ap-608	208	34	concrete	concrete	NOUN
ap-608	208	35	)	)	PUNCT
ap-608	208	36	.	.	PUNCT
ap-608	209	1	the	the	DET
ap-608	209	2	formula	formula	NOUN
ap-608	209	3	in	in	ADP
ap-608	209	4	fig	fig	NOUN
ap-608	209	5	.	.	PUNCT
ap-608	210	1	5a	5a	NUM
ap-608	210	2	is	be	AUX
ap-608	210	3	more	more	ADV
ap-608	210	4	accurate	accurate	ADJ
ap-608	210	5	(	(	PUNCT
ap-608	210	6	2nd	2nd	ADJ
ap-608	210	7	order	order	NOUN
ap-608	210	8	match	match	NOUN
ap-608	210	9	)	)	PUNCT
ap-608	210	10	,	,	PUNCT
ap-608	210	11	the	the	DET
ap-608	210	12	other	other	ADJ
ap-608	210	13	is	be	AUX
ap-608	210	14	simpler	simple	ADJ
ap-608	210	15	(	(	PUNCT
ap-608	210	16	1st	1st	ADJ
ap-608	210	17	order	order	NOUN
ap-608	210	18	match	match	NOUN
ap-608	210	19	)	)	PUNCT
ap-608	210	20	.	.	PUNCT
ap-608	211	1	they	they	PRON
ap-608	211	2	are	be	AUX
ap-608	211	3	shown	show	VERB
ap-608	211	4	in	in	ADP
ap-608	211	5	fig	fig	NOUN
ap-608	211	6	.	.	PUNCT
ap-608	212	1	5	5	NUM
ap-608	212	2	,	,	PUNCT
ap-608	212	3	where	where	SCONJ
ap-608	212	4	they	they	PRON
ap-608	212	5	are	be	AUX
ap-608	212	6	also	also	ADV
ap-608	212	7	compared	compare	VERB
ap-608	212	8	to	to	ADP
ap-608	212	9	the	the	DET
ap-608	212	10	database	database	NOUN
ap-608	212	11	(	(	PUNCT
ap-608	212	12	the	the	DET
ap-608	212	13	solid	solid	ADJ
ap-608	212	14	line	line	NOUN
ap-608	212	15	is	be	AUX
ap-608	212	16	the	the	DET
ap-608	212	17	mean	mean	ADJ
ap-608	212	18	formula	formula	NOUN
ap-608	212	19	,	,	PUNCT
ap-608	212	20	the	the	DET
ap-608	212	21	dashed	dash	VERB
ap-608	212	22	line	line	NOUN
ap-608	212	23	is	be	AUX
ap-608	212	24	a	a	DET
ap-608	212	25	formula	formula	NOUN
ap-608	212	26	scaled	scale	VERB
ap-608	212	27	down	down	ADP
ap-608	212	28	to	to	PART
ap-608	212	29	achieve	achieve	VERB
ap-608	212	30	additional	additional	ADJ
ap-608	212	31	safety	safety	NOUN
ap-608	212	32	,	,	PUNCT
ap-608	212	33	as	as	SCONJ
ap-608	212	34	practiced	practice	VERB
ap-608	212	35	in	in	ADP
ap-608	212	36	aci	aci	PROPN
ap-608	212	37	)	)	PUNCT
ap-608	212	38	.	.	PUNCT
ap-608	213	1	the	the	DET
ap-608	213	2	coefficients	coefficient	NOUN
ap-608	213	3	of	of	ADP
ap-608	213	4	variation	variation	NOUN
ap-608	213	5	of	of	ADP
ap-608	213	6	the	the	DET
ap-608	213	7	vertical	vertical	ADJ
ap-608	213	8	deviations	deviation	NOUN
ap-608	213	9	from	from	ADP
ap-608	213	10	data	datum	NOUN
ap-608	213	11	points	point	NOUN
ap-608	213	12	,	,	PUNCT
ap-608	213	13	�	�	PROPN
ap-608	213	14	,	,	PUNCT
ap-608	213	15	are	be	AUX
ap-608	213	16	shown	show	VERB
ap-608	213	17	in	in	ADP
ap-608	213	18	the	the	DET
ap-608	213	19	fig	fig	NOUN
ap-608	213	20	.	.	PUNCT
ap-608	214	1	5	5	X
ap-608	214	2	.	.	X
ap-608	214	3	in	in	ADP
ap-608	214	4	the	the	DET
ap-608	214	5	derivation	derivation	NOUN
ap-608	214	6	of	of	ADP
ap-608	214	7	these	these	DET
ap-608	214	8	formulas	formula	NOUN
ap-608	214	9	,	,	PUNCT
ap-608	214	10	the	the	DET
ap-608	214	11	following	follow	VERB
ap-608	214	12	three	three	NUM
ap-608	214	13	principles	principle	NOUN
ap-608	214	14	were	be	AUX
ap-608	214	15	adhered	adhere	VERB
ap-608	214	16	to	to	ADP
ap-608	214	17	:	:	PUNCT
ap-608	214	18	1	1	NUM
ap-608	214	19	)	)	PUNCT
ap-608	214	20	only	only	ADV
ap-608	214	21	theoretically	theoretically	ADV
ap-608	214	22	justified	justify	VERB
ap-608	214	23	formulas	formula	NOUN
ap-608	214	24	must	must	AUX
ap-608	214	25	be	be	AUX
ap-608	214	26	used	use	VERB
ap-608	214	27	in	in	ADP
ap-608	214	28	data	datum	NOUN
ap-608	214	29	fitting	fitting	ADJ
ap-608	214	30	because	because	SCONJ
ap-608	214	31	the	the	DET
ap-608	214	32	size	size	NOUN
ap-608	214	33	effect	effect	NOUN
ap-608	214	34	(	(	PUNCT
ap-608	214	35	which	which	PRON
ap-608	214	36	is	be	AUX
ap-608	214	37	of	of	ADP
ap-608	214	38	main	main	ADJ
ap-608	214	39	interest	interest	NOUN
ap-608	214	40	for	for	ADP
ap-608	214	41	d	d	NOUN
ap-608	214	42	ranging	range	VERB
ap-608	214	43	from	from	ADP
ap-608	214	44	1	1	NUM
ap-608	214	45	m	m	NOUN
ap-608	214	46	to	to	ADP
ap-608	214	47	10	10	NUM
ap-608	214	48	m	m	NOUN
ap-608	214	49	)	)	PUNCT
ap-608	214	50	requires	require	VERB
ap-608	214	51	enormous	enormous	ADJ
ap-608	214	52	extrapolation	extrapolation	NOUN
ap-608	214	53	of	of	ADP
ap-608	214	54	the	the	DET
ap-608	214	55	aci	aci	PROPN
ap-608	214	56	445	445	NUM
ap-608	214	57	database	database	NOUN
ap-608	214	58	(	(	PUNCT
ap-608	214	59	in	in	ADP
ap-608	214	60	which	which	PRON
ap-608	214	61	86	86	NUM
ap-608	214	62	%	%	NOUN
ap-608	214	63	of	of	ADP
ap-608	214	64	data	datum	NOUN
ap-608	214	65	pertain	pertain	VERB
ap-608	214	66	to	to	ADP
ap-608	214	67	d	d	PROPN
ap-608	214	68	<	<	X
ap-608	214	69	0.6	0.6	NUM
ap-608	214	70	m	m	PROPN
ap-608	214	71	,	,	PUNCT
ap-608	214	72	99	99	NUM
ap-608	214	73	%	%	NOUN
ap-608	214	74	to	to	ADP
ap-608	214	75	d	d	X
ap-608	214	76	<	<	X
ap-608	214	77	1.1	1.1	NUM
ap-608	214	78	m	m	NOUN
ap-608	214	79	and	and	CCONJ
ap-608	214	80	100	100	NUM
ap-608	214	81	%	%	NOUN
ap-608	214	82	to	to	ADP
ap-608	214	83	d	d	X
ap-608	214	84	<	<	X
ap-608	214	85	1.89	1.89	NUM
ap-608	214	86	m	m	NOUN
ap-608	214	87	)	)	PUNCT
ap-608	214	88	.	.	PUNCT
ap-608	215	1	2	2	X
ap-608	215	2	)	)	PUNCT
ap-608	215	3	the	the	DET
ap-608	215	4	validity	validity	NOUN
ap-608	215	5	of	of	ADP
ap-608	215	6	the	the	DET
ap-608	215	7	formula	formula	NOUN
ap-608	215	8	must	must	AUX
ap-608	215	9	be	be	AUX
ap-608	215	10	assessed	assess	VERB
ap-608	215	11	by	by	ADP
ap-608	215	12	comparing	compare	VERB
ap-608	215	13	it	it	PRON
ap-608	215	14	only	only	ADV
ap-608	215	15	to	to	ADP
ap-608	215	16	(	(	PUNCT
ap-608	215	17	nearly	nearly	ADV
ap-608	215	18	)	)	PUNCT
ap-608	215	19	geometrically	geometrically	ADV
ap-608	215	20	scaled	scale	VERB
ap-608	215	21	beams	beam	NOUN
ap-608	215	22	of	of	ADP
ap-608	215	23	broad	broad	ADJ
ap-608	215	24	enough	enough	ADJ
ap-608	215	25	size	size	NOUN
ap-608	215	26	range	range	NOUN
ap-608	215	27	(	(	PUNCT
ap-608	215	28	only	only	ADV
ap-608	215	29	11	11	NUM
ap-608	215	30	such	such	ADJ
ap-608	215	31	test	test	NOUN
ap-608	215	32	series	series	NOUN
ap-608	215	33	exist	exist	VERB
ap-608	215	34	)	)	PUNCT
ap-608	215	35	.	.	PUNCT
ap-608	216	1	3	3	X
ap-608	216	2	)	)	PUNCT
ap-608	216	3	the	the	DET
ap-608	216	4	entire	entire	ADJ
ap-608	216	5	database	database	NOUN
ap-608	216	6	must	must	AUX
ap-608	216	7	be	be	AUX
ap-608	216	8	used	use	VERB
ap-608	216	9	only	only	ADV
ap-608	216	10	for	for	ADP
ap-608	216	11	the	the	DET
ap-608	216	12	final	final	ADJ
ap-608	216	13	calibration	calibration	NOUN
ap-608	216	14	of	of	ADP
ap-608	216	15	the	the	DET
ap-608	216	16	chosen	choose	VERB
ap-608	216	17	formula	formula	NOUN
ap-608	216	18	(	(	PUNCT
ap-608	216	19	and	and	CCONJ
ap-608	216	20	not	not	PART
ap-608	216	21	for	for	ADP
ap-608	216	22	choosing	choose	VERB
ap-608	216	23	the	the	DET
ap-608	216	24	best	good	ADJ
ap-608	216	25	formula	formula	NOUN
ap-608	216	26	,	,	PUNCT
ap-608	216	27	because	because	SCONJ
ap-608	216	28	data	datum	NOUN
ap-608	216	29	for	for	ADP
ap-608	216	30	many	many	ADJ
ap-608	216	31	different	different	ADJ
ap-608	216	32	concretes	concrete	NOUN
ap-608	216	33	and	and	CCONJ
ap-608	216	34	geometries	geometry	NOUN
ap-608	216	35	are	be	AUX
ap-608	216	36	mixed	mix	VERB
ap-608	216	37	in	in	ADP
ap-608	216	38	the	the	DET
ap-608	216	39	database	database	NOUN
ap-608	216	40	,	,	PUNCT
ap-608	216	41	and	and	CCONJ
ap-608	216	42	only	only	ADV
ap-608	216	43	2	2	NUM
ap-608	216	44	%	%	NOUN
ap-608	216	45	of	of	ADP
ap-608	216	46	the	the	DET
ap-608	216	47	data	datum	NOUN
ap-608	216	48	have	have	VERB
ap-608	216	49	a	a	DET
ap-608	216	50	non	non	ADJ
ap-608	216	51	-	-	ADJ
ap-608	216	52	negligible	negligible	ADJ
ap-608	216	53	size	size	NOUN
ap-608	216	54	range	range	NOUN
ap-608	216	55	)	)	PUNCT
ap-608	216	56	.	.	PUNCT
ap-608	217	1	8	8	NUM
ap-608	217	2	closing	closing	NOUN
ap-608	217	3	remarks	remark	NOUN
ap-608	217	4	although	although	SCONJ
ap-608	217	5	the	the	DET
ap-608	217	6	size	size	NOUN
ap-608	217	7	effect	effect	NOUN
ap-608	217	8	in	in	ADP
ap-608	217	9	fracture	fracture	NOUN
ap-608	217	10	of	of	ADP
ap-608	217	11	concrete	concrete	ADJ
ap-608	217	12	structures	structure	NOUN
ap-608	217	13	has	have	AUX
ap-608	217	14	been	be	AUX
ap-608	217	15	studied	study	VERB
ap-608	217	16	for	for	ADP
ap-608	217	17	over	over	ADP
ap-608	217	18	quarter	quarter	NOUN
ap-608	217	19	a	a	DET
ap-608	217	20	century	century	NOUN
ap-608	217	21	,	,	PUNCT
ap-608	217	22	there	there	PRON
ap-608	217	23	are	be	VERB
ap-608	217	24	still	still	ADV
ap-608	217	25	significant	significant	ADJ
ap-608	217	26	issues	issue	NOUN
ap-608	217	27	to	to	PART
ap-608	217	28	be	be	AUX
ap-608	217	29	resolved	resolve	VERB
ap-608	217	30	.	.	PUNCT
ap-608	218	1	among	among	ADP
ap-608	218	2	them	they	PRON
ap-608	218	3	,	,	PUNCT
ap-608	218	4	the	the	DET
ap-608	218	5	introduction	introduction	NOUN
ap-608	218	6	of	of	ADP
ap-608	218	7	size	size	NOUN
ap-608	218	8	effect	effect	NOUN
ap-608	218	9	into	into	ADP
ap-608	218	10	the	the	DET
ap-608	218	11	specifications	specification	NOUN
ap-608	218	12	in	in	ADP
ap-608	218	13	concrete	concrete	ADJ
ap-608	218	14	design	design	NOUN
ap-608	218	15	codes	code	NOUN
ap-608	218	16	is	be	AUX
ap-608	218	17	of	of	ADP
ap-608	218	18	the	the	DET
ap-608	218	19	greatest	great	ADJ
ap-608	218	20	practical	practical	ADJ
ap-608	218	21	importance	importance	NOUN
ap-608	218	22	.	.	PUNCT
ap-608	219	1	the	the	DET
ap-608	219	2	present	present	ADJ
ap-608	219	3	paper	paper	NOUN
ap-608	219	4	is	be	AUX
ap-608	219	5	a	a	DET
ap-608	219	6	mere	mere	ADJ
ap-608	219	7	summary	summary	NOUN
ap-608	219	8	of	of	ADP
ap-608	219	9	six	six	NUM
ap-608	219	10	recent	recent	ADJ
ap-608	219	11	investigations	investigation	NOUN
ap-608	219	12	at	at	ADP
ap-608	219	13	northwestern	northwestern	ADJ
ap-608	219	14	university	university	NOUN
ap-608	219	15	which	which	PRON
ap-608	219	16	will	will	AUX
ap-608	219	17	be	be	AUX
ap-608	219	18	fully	fully	ADV
ap-608	219	19	presented	present	VERB
ap-608	219	20	in	in	ADP
ap-608	219	21	forthcoming	forthcoming	ADJ
ap-608	219	22	papers	paper	NOUN
ap-608	219	23	.	.	PUNCT
ap-608	220	1	acknowledgement	acknowledgement	NOUN
ap-608	220	2	thanks	thank	NOUN
ap-608	220	3	for	for	ADP
ap-608	220	4	partial	partial	ADJ
ap-608	220	5	financial	financial	ADJ
ap-608	220	6	support	support	NOUN
ap-608	220	7	are	be	AUX
ap-608	220	8	due	due	ADJ
ap-608	220	9	to	to	ADP
ap-608	220	10	the	the	DET
ap-608	220	11	u.s	u.s	PROPN
ap-608	220	12	.	.	PROPN
ap-608	220	13	national	national	PROPN
ap-608	220	14	foundation	foundation	PROPN
ap-608	220	15	(	(	PUNCT
ap-608	220	16	grant	grant	PROPN
ap-608	220	17	cms-0301145	cms-0301145	NOUN
ap-608	220	18	to	to	ADP
ap-608	220	19	northwestern	northwestern	ADJ
ap-608	220	20	university	university	NOUN
ap-608	220	21	)	)	PUNCT
ap-608	220	22	and	and	CCONJ
ap-608	220	23	to	to	ADP
ap-608	220	24	the	the	DET
ap-608	220	25	infrastructure	infrastructure	NOUN
ap-608	220	26	technology	technology	PROPN
ap-608	220	27	institute	institute	PROPN
ap-608	220	28	of	of	ADP
ap-608	220	29	northwestern	northwestern	PROPN
ap-608	220	30	university	university	PROPN
ap-608	220	31	.	.	PUNCT
ap-608	221	1	references	reference	NOUN
ap-608	221	2	[	[	X
ap-608	221	3	1	1	NUM
ap-608	221	4	]	]	PUNCT
ap-608	221	5	bažant	bažant	PROPN
ap-608	221	6	z.	z.	PROPN
ap-608	221	7	p.	p.	PROPN
ap-608	221	8	:	:	PUNCT
ap-608	221	9	“	"	PUNCT
ap-608	221	10	size	size	NOUN
ap-608	221	11	effect	effect	NOUN
ap-608	221	12	in	in	ADP
ap-608	221	13	blunt	blunt	ADJ
ap-608	221	14	fracture	fracture	NOUN
ap-608	221	15	:	:	PUNCT
ap-608	221	16	concrete	concrete	ADJ
ap-608	221	17	,	,	PUNCT
ap-608	221	18	rock	rock	NOUN
ap-608	221	19	,	,	PUNCT
ap-608	221	20	metal	metal	NOUN
ap-608	221	21	.	.	PUNCT
ap-608	221	22	”	"	PUNCT
ap-608	222	1	j.	j.	PROPN
ap-608	222	2	eng	eng	PROPN
ap-608	222	3	.	.	PROPN
ap-608	222	4	mech	mech	PROPN
ap-608	222	5	.	.	PUNCT
ap-608	223	1	asce	asce	PROPN
ap-608	223	2	,	,	PUNCT
ap-608	223	3	vol	vol	NOUN
ap-608	223	4	.	.	PUNCT
ap-608	224	1	110	110	NUM
ap-608	224	2	(	(	PUNCT
ap-608	224	3	1984	1984	NUM
ap-608	224	4	)	)	PUNCT
ap-608	224	5	,	,	PUNCT
ap-608	225	1	p.	p.	NOUN
ap-608	225	2	518–535	518–535	NUM
ap-608	225	3	.	.	PUNCT
ap-608	226	1	[	[	X
ap-608	226	2	2	2	NUM
ap-608	226	3	]	]	PUNCT
ap-608	226	4	bažant	bažant	PROPN
ap-608	226	5	z.	z.	PROPN
ap-608	226	6	p.	p.	PROPN
ap-608	226	7	:	:	PUNCT
ap-608	226	8	“	"	PUNCT
ap-608	226	9	mechanics	mechanic	NOUN
ap-608	226	10	of	of	ADP
ap-608	226	11	fracture	fracture	NOUN
ap-608	226	12	and	and	CCONJ
ap-608	226	13	progressive	progressive	ADJ
ap-608	226	14	cracking	cracking	NOUN
ap-608	226	15	in	in	ADP
ap-608	226	16	concrete	concrete	ADJ
ap-608	226	17	structures	structure	NOUN
ap-608	226	18	.	.	PUNCT
ap-608	226	19	”	"	PUNCT
ap-608	227	1	chapter	chapter	NOUN
ap-608	227	2	1	1	NUM
ap-608	227	3	in	in	ADP
ap-608	227	4	fracture	fracture	NOUN
ap-608	227	5	mechanics	mechanic	NOUN
ap-608	227	6	of	of	ADP
ap-608	227	7	concrete	concrete	NOUN
ap-608	227	8	:	:	PUNCT
ap-608	227	9	structural	structural	ADJ
ap-608	227	10	application	application	NOUN
ap-608	227	11	and	and	CCONJ
ap-608	227	12	©	©	PROPN
ap-608	227	13	czech	czech	PROPN
ap-608	227	14	technical	technical	PROPN
ap-608	227	15	university	university	PROPN
ap-608	227	16	publishing	publishing	NOUN
ap-608	227	17	house	house	NOUN
ap-608	227	18	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-608	227	19	13	13	NUM
ap-608	227	20	acta	acta	PROPN
ap-608	227	21	polytechnica	polytechnica	PROPN
ap-608	227	22	vol	vol	NOUN
ap-608	227	23	.	.	PROPN
ap-608	228	1	44	44	NUM
ap-608	228	2	no	no	NOUN
ap-608	228	3	.	.	PUNCT
ap-608	229	1	5–6/2004	5–6/2004	NUM
ap-608	229	2	current	current	ADJ
ap-608	229	3	design	design	NOUN
ap-608	229	4	'	'	PART
ap-608	229	5	2	2	NUM
ap-608	229	6	cf	cf	NOUN
ap-608	229	7	current	current	ADJ
ap-608	229	8	design	design	NOUN
ap-608	229	9	'	'	PART
ap-608	229	10	2	2	NUM
ap-608	229	11	cf	cf	NOUN
ap-608	229	12	1	1	NUM
ap-608	229	13	0.1	0.1	NUM
ap-608	229	14	1000	1000	NUM
ap-608	229	15	'	'	NUM
ap-608	229	16	1/2	1/2	NUM
ap-608	229	17	0	0	NUM
ap-608	229	18	(	(	PUNCT
ap-608	229	19	1	1	NUM
ap-608	229	20	/	/	SYM
ap-608	229	21	)	)	PUNCT
ap-608	229	22	c	c	NOUN
ap-608	229	23	c	c	NOUN
ap-608	229	24	v	v	NOUN
ap-608	229	25	f	f	PROPN
ap-608	229	26	d	d	PROPN
ap-608	229	27	d	d	PROPN
ap-608	229	28	�	�	PROPN
ap-608	229	29	�	�	PROPN
ap-608	229	30	�	�	PROPN
ap-608	229	31	log(d	log(d	PROPN
ap-608	229	32	/	/	SYM
ap-608	229	33	d0	d0	NOUN
ap-608	229	34	)	)	PUNCT
ap-608	229	35	8	8	NUM
ap-608	229	36	5	5	NUM
ap-608	229	37	�	�	PROPN
ap-608	229	38	�	�	PROPN
ap-608	229	39	3.8	3.8	NUM
ap-608	229	40	�	�	PROPN
ap-608	229	41	�	�	PROPN
ap-608	229	42	'	'	PART
ap-608	229	43	2/3	2/3	NUM
ap-608	229	44	0	0	NUM
ap-608	229	45	16.1	16.1	NUM
ap-608	229	46	%	%	NOUN
ap-608	229	47	16.2	16.2	NUM
ap-608	229	48	%	%	NOUN
ap-608	229	49	1120	1120	NUM
ap-608	229	50	(	(	PUNCT
ap-608	229	51	/	/	SYM
ap-608	229	52	)	)	PUNCT
ap-608	229	53	l	l	NOUN
ap-608	230	1	c	c	NOUN
ap-608	230	2	s	s	X
ap-608	230	3	d	d	X
ap-608	230	4	f	f	PROPN
ap-608	230	5	�	�	PROPN
ap-608	230	6	�	�	PROPN
ap-608	230	7	�	�	PROPN
ap-608	230	8	�	�	PROPN
ap-608	230	9	�	�	PROPN
ap-608	230	10	0.3	0.3	NUM
ap-608	230	11	lo	lo	PROPN
ap-608	230	12	g	g	PROPN
ap-608	230	13	(	(	PUNCT
ap-608	230	14	v	v	NOUN
ap-608	230	15	c	c	NOUN
ap-608	230	16	/f	/f	PUNCT
ap-608	230	17	c'1	c'1	X
ap-608	230	18	/2	/2	PUNCT
ap-608	230	19	)	)	PUNCT
ap-608	231	1	a	a	X
ap-608	231	2	)	)	PUNCT
ap-608	231	3	1	1	NUM
ap-608	231	4	0.3	0.3	NUM
ap-608	231	5	0.1	0.1	NUM
ap-608	231	6	100	100	NUM
ap-608	231	7	lo	lo	PROPN
ap-608	231	8	g	g	PROPN
ap-608	231	9	(	(	PUNCT
ap-608	231	10	v	v	NOUN
ap-608	231	11	c	c	NOUN
ap-608	231	12	/f	/f	PUNCT
ap-608	231	13	c'1	c'1	X
ap-608	231	14	/2	/2	PUNCT
ap-608	231	15	)	)	PUNCT
ap-608	231	16	log(d	log(d	PROPN
ap-608	231	17	/	/	SYM
ap-608	231	18	d0	d0	NOUN
ap-608	231	19	)	)	PUNCT
ap-608	231	20	8	8	NUM
ap-608	231	21	'	'	PUNCT
ap-608	231	22	'	'	NUM
ap-608	231	23	0	0	NUM
ap-608	231	24	/	/	SYM
ap-608	231	25	,	,	PUNCT
ap-608	231	26	but	but	CCONJ
ap-608	232	1	c	c	NOUN
ap-608	232	2	c	c	NOUN
ap-608	232	3	c	c	NOUN
ap-608	232	4	c	c	NOUN
ap-608	232	5	v	v	NOUN
ap-608	232	6	f	f	PROPN
ap-608	232	7	d	d	PROPN
ap-608	232	8	d	d	X
ap-608	232	9	v	v	NUM
ap-608	232	10	f	f	PROPN
ap-608	232	11	�	�	PROPN
ap-608	232	12	�	�	PROPN
ap-608	232	13	�	�	PROPN
ap-608	232	14	�	�	PROPN
ap-608	232	15	3.5	3.5	NUM
ap-608	232	16	�	�	PROPN
ap-608	232	17	�	�	PROPN
ap-608	232	18	2.5	2.5	NUM
ap-608	232	19	�	�	PROPN
ap-608	232	20	�	�	PROPN
ap-608	232	21	2/3	2/3	NUM
ap-608	232	22	0	0	NUM
ap-608	232	23	21.3	21.3	NUM
ap-608	232	24	%	%	NOUN
ap-608	232	25	21.5	21.5	NUM
ap-608	232	26	%	%	NOUN
ap-608	232	27	7	7	NUM
ap-608	232	28	ls	ls	PROPN
ap-608	232	29	d	d	PROPN
ap-608	232	30	�	�	PROPN
ap-608	232	31	�	�	PROPN
ap-608	232	32	�	�	PROPN
ap-608	232	33	�	�	PROPN
ap-608	232	34	�	�	PROPN
ap-608	232	35	current	current	ADJ
ap-608	232	36	design	design	NOUN
ap-608	232	37	'	'	PART
ap-608	232	38	2	2	NUM
ap-608	232	39	cf	cf	NOUN
ap-608	232	40	current	current	ADJ
ap-608	232	41	design	design	NOUN
ap-608	232	42	'	'	PART
ap-608	232	43	2	2	NUM
ap-608	232	44	cf	cf	NOUN
ap-608	232	45	b	b	NOUN
ap-608	232	46	)	)	PUNCT
ap-608	232	47	fig	fig	NOUN
ap-608	232	48	.	.	PUNCT
ap-608	233	1	5	5	NUM
ap-608	233	2	:	:	PUNCT
ap-608	233	3	improved	improve	VERB
ap-608	233	4	formulas	formula	NOUN
ap-608	233	5	for	for	ADP
ap-608	233	6	shear	shear	NOUN
ap-608	233	7	failure	failure	NOUN
ap-608	233	8	of	of	ADP
ap-608	233	9	reinforced	reinforce	VERB
ap-608	233	10	concrete	concrete	ADJ
ap-608	233	11	beams	beam	NOUN
ap-608	233	12	without	without	ADP
ap-608	233	13	stirrups	stirrup	NOUN
ap-608	233	14	:	:	PUNCT
ap-608	233	15	(	(	PUNCT
ap-608	233	16	a	a	X
ap-608	233	17	)	)	PUNCT
ap-608	233	18	2nd	2nd	ADJ
ap-608	233	19	order	order	NOUN
ap-608	233	20	match	match	NOUN
ap-608	233	21	;	;	PUNCT
ap-608	233	22	(	(	PUNCT
ap-608	233	23	b	b	X
ap-608	233	24	)	)	PUNCT
ap-608	233	25	1st	1st	ADJ
ap-608	233	26	order	order	NOUN
ap-608	233	27	match	match	NOUN
ap-608	233	28	(	(	PUNCT
ap-608	233	29	circle	circle	NOUN
ap-608	233	30	area	area	NOUN
ap-608	233	31	represents	represent	VERB
ap-608	233	32	the	the	DET
ap-608	233	33	assigned	assign	VERB
ap-608	233	34	weights	weight	NOUN
ap-608	233	35	in	in	ADP
ap-608	233	36	fitting	fitting	ADJ
ap-608	233	37	)	)	PUNCT
ap-608	233	38	num	num	PROPN
ap-608	233	39	.	.	PROPN
ap-608	233	40	calculation	calculation	NOUN
ap-608	233	41	,	,	PUNCT
ap-608	233	42	sih	sih	PROPN
ap-608	233	43	g.	g.	PROPN
ap-608	233	44	c.	c.	PROPN
ap-608	233	45	,	,	PUNCT
ap-608	233	46	di	di	PROPN
ap-608	233	47	tommaso	tommaso	PROPN
ap-608	233	48	a.	a.	PROPN
ap-608	233	49	,	,	PUNCT
ap-608	233	50	eds	eds	PROPN
ap-608	233	51	.	.	PUNCT
ap-608	233	52	:	:	PUNCT
ap-608	234	1	martinus	martinus	PROPN
ap-608	234	2	nijhoff	nijhoff	PROPN
ap-608	234	3	,	,	PUNCT
ap-608	234	4	dordrech	dordrech	PROPN
ap-608	234	5	&	&	CCONJ
ap-608	234	6	boston	boston	PROPN
ap-608	234	7	,	,	PUNCT
ap-608	234	8	1985	1985	NUM
ap-608	234	9	,	,	PUNCT
ap-608	234	10	p.	p.	NOUN
ap-608	234	11	1–94	1–94	PROPN
ap-608	234	12	.	.	PUNCT
ap-608	235	1	[	[	X
ap-608	235	2	3	3	X
ap-608	235	3	]	]	PUNCT
ap-608	235	4	bažant	bažant	PROPN
ap-608	235	5	z.	z.	PROPN
ap-608	235	6	p.	p.	PROPN
ap-608	235	7	:	:	PUNCT
ap-608	235	8	“	"	PUNCT
ap-608	235	9	scaling	scale	VERB
ap-608	235	10	laws	law	NOUN
ap-608	235	11	in	in	ADP
ap-608	235	12	mechanics	mechanic	NOUN
ap-608	235	13	of	of	ADP
ap-608	235	14	failure	failure	NOUN
ap-608	235	15	.	.	PUNCT
ap-608	235	16	”	"	PUNCT
ap-608	236	1	j.	j.	PROPN
ap-608	236	2	of	of	ADP
ap-608	236	3	eng	eng	PROPN
ap-608	236	4	.	.	PROPN
ap-608	236	5	mech	mech	PROPN
ap-608	236	6	.	.	PUNCT
ap-608	236	7	,	,	PUNCT
ap-608	236	8	asce	asce	PROPN
ap-608	236	9	,	,	PUNCT
ap-608	236	10	vol	vol	NOUN
ap-608	236	11	.	.	PROPN
ap-608	236	12	119	119	NUM
ap-608	236	13	(	(	PUNCT
ap-608	236	14	1993	1993	NUM
ap-608	236	15	)	)	PUNCT
ap-608	236	16	,	,	PUNCT
ap-608	236	17	no	no	INTJ
ap-608	236	18	.	.	NOUN
ap-608	236	19	9	9	NUM
ap-608	236	20	,	,	PUNCT
ap-608	236	21	p.	p.	NOUN
ap-608	236	22	1828–1844	1828–1844	NUM
ap-608	236	23	.	.	PUNCT
ap-608	237	1	[	[	X
ap-608	237	2	4	4	X
ap-608	237	3	]	]	PUNCT
ap-608	237	4	bažant	bažant	PROPN
ap-608	237	5	z.	z.	PROPN
ap-608	237	6	p.	p.	PROPN
ap-608	237	7	:	:	PUNCT
ap-608	237	8	“	"	PUNCT
ap-608	237	9	analysis	analysis	NOUN
ap-608	237	10	of	of	ADP
ap-608	237	11	work	work	NOUN
ap-608	237	12	-	-	PUNCT
ap-608	237	13	of	of	ADP
ap-608	237	14	fracture	fracture	NOUN
ap-608	237	15	method	method	NOUN
ap-608	237	16	for	for	ADP
ap-608	237	17	measuring	measure	VERB
ap-608	237	18	fracture	fracture	NOUN
ap-608	237	19	energy	energy	NOUN
ap-608	237	20	of	of	ADP
ap-608	237	21	concrete	concrete	NOUN
ap-608	237	22	.	.	PUNCT
ap-608	237	23	”	"	PUNCT
ap-608	238	1	j.	j.	PROPN
ap-608	238	2	of	of	ADP
ap-608	238	3	eng	eng	PROPN
ap-608	238	4	.	.	PROPN
ap-608	238	5	mech	mech	PROPN
ap-608	238	6	.	.	PUNCT
ap-608	238	7	,	,	PUNCT
ap-608	238	8	asce	asce	PROPN
ap-608	238	9	,	,	PUNCT
ap-608	238	10	vol	vol	NOUN
ap-608	238	11	.	.	PROPN
ap-608	238	12	122	122	NUM
ap-608	238	13	(	(	PUNCT
ap-608	238	14	1996	1996	NUM
ap-608	238	15	)	)	PUNCT
ap-608	238	16	,	,	PUNCT
ap-608	238	17	no	no	INTJ
ap-608	238	18	.	.	NOUN
ap-608	238	19	2	2	NUM
ap-608	238	20	,	,	PUNCT
ap-608	238	21	p.	p.	NOUN
ap-608	238	22	138	138	NUM
ap-608	238	23	.	.	PUNCT
ap-608	239	1	[	[	X
ap-608	239	2	5	5	X
ap-608	239	3	]	]	PUNCT
ap-608	239	4	bažant	bažant	PROPN
ap-608	239	5	z.	z.	PROPN
ap-608	239	6	p.	p.	PROPN
ap-608	239	7	:	:	PUNCT
ap-608	239	8	“	"	PUNCT
ap-608	239	9	scaling	scaling	NOUN
ap-608	239	10	of	of	ADP
ap-608	239	11	quasibrittle	quasibrittle	ADJ
ap-608	239	12	fracture	fracture	NOUN
ap-608	239	13	:	:	PUNCT
ap-608	239	14	asymptotic	asymptotic	ADJ
ap-608	239	15	analysis	analysis	NOUN
ap-608	239	16	.	.	PUNCT
ap-608	239	17	”	"	PUNCT
ap-608	240	1	int	int	NOUN
ap-608	240	2	.	.	PUNCT
ap-608	241	1	j.	j.	PROPN
ap-608	241	2	of	of	ADP
ap-608	241	3	fracture	fracture	PROPN
ap-608	241	4	,	,	PUNCT
ap-608	241	5	vol	vol	NOUN
ap-608	241	6	.	.	PROPN
ap-608	241	7	83	83	NUM
ap-608	241	8	(	(	PUNCT
ap-608	241	9	1997	1997	NUM
ap-608	241	10	)	)	PUNCT
ap-608	241	11	,	,	PUNCT
ap-608	241	12	no	no	INTJ
ap-608	241	13	.	.	NOUN
ap-608	241	14	1	1	NUM
ap-608	241	15	,	,	PUNCT
ap-608	241	16	p.	p.	NOUN
ap-608	241	17	19–40	19–40	NUM
ap-608	241	18	.	.	PUNCT
ap-608	242	1	[	[	X
ap-608	242	2	6	6	NUM
ap-608	242	3	]	]	PUNCT
ap-608	242	4	bažant	bažant	PROPN
ap-608	242	5	z.	z.	PROPN
ap-608	242	6	p.	p.	PROPN
ap-608	242	7	:	:	PUNCT
ap-608	242	8	“	"	PUNCT
ap-608	242	9	size	size	NOUN
ap-608	242	10	effect	effect	NOUN
ap-608	242	11	in	in	ADP
ap-608	242	12	tensile	tensile	NOUN
ap-608	242	13	and	and	CCONJ
ap-608	242	14	compression	compression	NOUN
ap-608	242	15	fracture	fracture	NOUN
ap-608	242	16	of	of	ADP
ap-608	242	17	concrete	concrete	ADJ
ap-608	242	18	structures	structure	NOUN
ap-608	242	19	:	:	PUNCT
ap-608	242	20	computational	computational	ADJ
ap-608	242	21	modeling	modeling	NOUN
ap-608	242	22	and	and	CCONJ
ap-608	242	23	design	design	NOUN
ap-608	242	24	.	.	PUNCT
ap-608	242	25	”	"	PUNCT
ap-608	243	1	fracture	fracture	ADJ
ap-608	243	2	mechanics	mechanic	NOUN
ap-608	243	3	of	of	ADP
ap-608	243	4	concrete	concrete	ADJ
ap-608	243	5	structures	structure	NOUN
ap-608	243	6	,	,	PUNCT
ap-608	243	7	(	(	PUNCT
ap-608	243	8	proc	proc	NOUN
ap-608	243	9	.	.	PUNCT
ap-608	244	1	3rd	3rd	ADJ
ap-608	244	2	int	int	NOUN
ap-608	244	3	.	.	PUNCT
ap-608	245	1	conf	conf	PROPN
ap-608	245	2	.	.	PROPN
ap-608	245	3	,	,	PUNCT
ap-608	245	4	framcos-3	framcos-3	NUM
ap-608	245	5	,	,	PUNCT
ap-608	245	6	held	hold	VERB
ap-608	245	7	in	in	ADP
ap-608	245	8	gifu	gifu	PROPN
ap-608	245	9	,	,	PUNCT
ap-608	245	10	japan	japan	PROPN
ap-608	245	11	)	)	PUNCT
ap-608	245	12	,	,	PUNCT
ap-608	245	13	mihashi	mihashi	PROPN
ap-608	245	14	h.	h.	PROPN
ap-608	245	15	,	,	PUNCT
ap-608	245	16	rokugo	rokugo	PROPN
ap-608	245	17	k.	k.	PROPN
ap-608	245	18	,	,	PUNCT
ap-608	245	19	eds	eds	PROPN
ap-608	245	20	.	.	PROPN
ap-608	245	21	,	,	PUNCT
ap-608	245	22	aedificatio	aedificatio	PROPN
ap-608	245	23	publishers	publisher	NOUN
ap-608	245	24	,	,	PUNCT
ap-608	245	25	freiburg	freiburg	PROPN
ap-608	245	26	,	,	PUNCT
ap-608	245	27	germany	germany	PROPN
ap-608	245	28	,	,	PUNCT
ap-608	245	29	1998	1998	NUM
ap-608	245	30	,	,	PUNCT
ap-608	245	31	p.	p.	NOUN
ap-608	245	32	1905–1922	1905–1922	NUM
ap-608	245	33	.	.	PUNCT
ap-608	246	1	[	[	X
ap-608	246	2	7	7	X
ap-608	246	3	]	]	X
ap-608	246	4	bažant	bažant	PROPN
ap-608	246	5	z.	z.	PROPN
ap-608	246	6	p.	p.	PROPN
ap-608	246	7	“	"	PUNCT
ap-608	246	8	size	size	NOUN
ap-608	246	9	effects	effect	NOUN
ap-608	246	10	in	in	ADP
ap-608	246	11	quasibrittle	quasibrittle	ADJ
ap-608	246	12	fracture	fracture	NOUN
ap-608	246	13	:	:	PUNCT
ap-608	246	14	apercu	apercu	PROPN
ap-608	246	15	of	of	ADP
ap-608	246	16	recent	recent	ADJ
ap-608	246	17	results	result	NOUN
ap-608	246	18	.	.	PUNCT
ap-608	246	19	”	"	PUNCT
ap-608	247	1	fracture	fracture	ADJ
ap-608	247	2	mechanics	mechanic	NOUN
ap-608	247	3	of	of	ADP
ap-608	247	4	concrete	concrete	ADJ
ap-608	247	5	structures	structure	NOUN
ap-608	247	6	,	,	PUNCT
ap-608	247	7	(	(	PUNCT
ap-608	247	8	proc	proc	NOUN
ap-608	247	9	.	.	PROPN
ap-608	247	10	,	,	PUNCT
ap-608	247	11	framcos-4	framcos-4	NUM
ap-608	247	12	int	int	NOUN
ap-608	247	13	.	.	PUNCT
ap-608	248	1	conf	conf	PROPN
ap-608	248	2	.	.	PROPN
ap-608	248	3	,	,	PUNCT
ap-608	248	4	paris	paris	PROPN
ap-608	248	5	)	)	PUNCT
ap-608	248	6	,	,	PUNCT
ap-608	248	7	r.	r.	PROPN
ap-608	248	8	de	de	PROPN
ap-608	248	9	borst	borst	PROPN
ap-608	248	10	et	et	PROPN
ap-608	248	11	al	al	PROPN
ap-608	248	12	.	.	PROPN
ap-608	248	13	,	,	PUNCT
ap-608	248	14	eds	eds	PROPN
ap-608	248	15	.	.	PROPN
ap-608	248	16	,	,	PUNCT
ap-608	248	17	netherlands	netherlands	PROPN
ap-608	248	18	a.a	a.a	PROPN
ap-608	248	19	.	.	PROPN
ap-608	248	20	balkema	balkema	PROPN
ap-608	248	21	publishers	publisher	NOUN
ap-608	248	22	,	,	PUNCT
ap-608	248	23	lisse	lisse	PROPN
ap-608	248	24	,	,	PUNCT
ap-608	248	25	2001	2001	NUM
ap-608	248	26	,	,	PUNCT
ap-608	249	1	p.	p.	NOUN
ap-608	249	2	651–658	651–658	NUM
ap-608	249	3	.	.	PUNCT
ap-608	250	1	[	[	X
ap-608	250	2	8	8	NUM
ap-608	250	3	]	]	PUNCT
ap-608	250	4	bažant	bažant	PROPN
ap-608	250	5	z.	z.	PROPN
ap-608	250	6	p.	p.	PROPN
ap-608	250	7	:	:	PUNCT
ap-608	250	8	“	"	PUNCT
ap-608	250	9	concrete	concrete	ADJ
ap-608	250	10	fracture	fracture	NOUN
ap-608	250	11	model	model	NOUN
ap-608	250	12	:	:	PUNCT
ap-608	250	13	testing	testing	NOUN
ap-608	250	14	and	and	CCONJ
ap-608	250	15	practice	practice	NOUN
ap-608	250	16	.	.	PUNCT
ap-608	250	17	”	"	PUNCT
ap-608	251	1	engineering	engineering	NOUN
ap-608	251	2	fracture	fracture	NOUN
ap-608	251	3	mechanics	mechanic	NOUN
ap-608	251	4	,	,	PUNCT
ap-608	251	5	vol	vol	NOUN
ap-608	251	6	.	.	PROPN
ap-608	251	7	69	69	NUM
ap-608	251	8	(	(	PUNCT
ap-608	251	9	2002a	2002a	NUM
ap-608	251	10	)	)	PUNCT
ap-608	251	11	,	,	PUNCT
ap-608	251	12	no	no	INTJ
ap-608	251	13	.	.	NOUN
ap-608	251	14	2	2	NUM
ap-608	251	15	(	(	PUNCT
ap-608	251	16	special	special	ADJ
ap-608	251	17	issue	issue	NOUN
ap-608	251	18	on	on	ADP
ap-608	251	19	fracture	fracture	NOUN
ap-608	251	20	of	of	ADP
ap-608	251	21	concrete	concrete	NOUN
ap-608	251	22	and	and	CCONJ
ap-608	251	23	rock	rock	NOUN
ap-608	251	24	,	,	PUNCT
ap-608	251	25	elices	elice	VERB
ap-608	251	26	m.	m.	NOUN
ap-608	251	27	,	,	PUNCT
ap-608	251	28	ed	ed	NOUN
ap-608	251	29	.	.	PUNCT
ap-608	251	30	)	)	PUNCT
ap-608	251	31	,	,	PUNCT
ap-608	251	32	p.	p.	NOUN
ap-608	251	33	165–206	165–206	NUM
ap-608	251	34	.	.	PUNCT
ap-608	252	1	[	[	X
ap-608	252	2	9	9	NUM
ap-608	252	3	]	]	PUNCT
ap-608	252	4	bažant	bažant	PROPN
ap-608	252	5	z.	z.	PROPN
ap-608	252	6	p.	p.	PROPN
ap-608	252	7	:	:	PUNCT
ap-608	252	8	“	"	PUNCT
ap-608	252	9	scaling	scaling	NOUN
ap-608	252	10	of	of	ADP
ap-608	252	11	structural	structural	ADJ
ap-608	252	12	strength	strength	NOUN
ap-608	252	13	.	.	PUNCT
ap-608	252	14	”	"	PUNCT
ap-608	253	1	hermes	hermes	PROPN
ap-608	253	2	penton	penton	PROPN
ap-608	253	3	science	science	PROPN
ap-608	253	4	(	(	PUNCT
ap-608	253	5	2002b	2002b	NUM
ap-608	253	6	)	)	PUNCT
ap-608	253	7	,	,	PUNCT
ap-608	253	8	london	london	PROPN
ap-608	253	9	.	.	PUNCT
ap-608	254	1	[	[	X
ap-608	254	2	10	10	NUM
ap-608	254	3	]	]	PUNCT
ap-608	254	4	bažant	bažant	PROPN
ap-608	254	5	z.	z.	PROPN
ap-608	254	6	p.	p.	PROPN
ap-608	254	7	:	:	PUNCT
ap-608	255	1	internal	internal	ADJ
ap-608	255	2	research	research	NOUN
ap-608	255	3	note	note	NOUN
ap-608	255	4	to	to	ADP
ap-608	255	5	q.	q.	PROPN
ap-608	255	6	yu	yu	PROPN
ap-608	255	7	,	,	PUNCT
ap-608	255	8	(	(	PUNCT
ap-608	255	9	feb	feb	PROPN
ap-608	255	10	.	.	PROPN
ap-608	255	11	27	27	NUM
ap-608	255	12	)	)	PUNCT
ap-608	255	13	and	and	CCONJ
ap-608	255	14	a	a	DET
ap-608	255	15	paper	paper	NOUN
ap-608	255	16	under	under	ADP
ap-608	255	17	preparation	preparation	NOUN
ap-608	255	18	(	(	PUNCT
ap-608	255	19	2003	2003	NUM
ap-608	255	20	)	)	PUNCT
ap-608	255	21	.	.	PUNCT
ap-608	256	1	[	[	X
ap-608	256	2	11	11	NUM
ap-608	256	3	]	]	PUNCT
ap-608	256	4	bažant	bažant	PROPN
ap-608	256	5	z.	z.	PROPN
ap-608	256	6	p.	p.	PROPN
ap-608	256	7	,	,	PUNCT
ap-608	256	8	becq	becq	PROPN
ap-608	256	9	-	-	PUNCT
ap-608	256	10	giraudon	giraudon	PROPN
ap-608	256	11	e.	e.	PROPN
ap-608	256	12	:	:	PUNCT
ap-608	256	13	“	"	PUNCT
ap-608	256	14	statistical	statistical	ADJ
ap-608	256	15	prediction	prediction	NOUN
ap-608	256	16	of	of	ADP
ap-608	256	17	fracture	fracture	NOUN
ap-608	256	18	parameters	parameter	NOUN
ap-608	256	19	of	of	ADP
ap-608	256	20	concrete	concrete	ADJ
ap-608	256	21	and	and	CCONJ
ap-608	256	22	implications	implication	NOUN
ap-608	256	23	for	for	ADP
ap-608	256	24	choice	choice	NOUN
ap-608	256	25	of	of	ADP
ap-608	256	26	testing	testing	NOUN
ap-608	256	27	standard	standard	NOUN
ap-608	256	28	.	.	PUNCT
ap-608	256	29	”	"	PUNCT
ap-608	256	30	cement	cement	NOUN
ap-608	256	31	and	and	CCONJ
ap-608	256	32	concrete	concrete	ADJ
ap-608	256	33	research	research	NOUN
ap-608	256	34	,	,	PUNCT
ap-608	256	35	vol	vol	NOUN
ap-608	256	36	.	.	PROPN
ap-608	256	37	32	32	NUM
ap-608	256	38	(	(	PUNCT
ap-608	256	39	2002	2002	NUM
ap-608	256	40	)	)	PUNCT
ap-608	256	41	,	,	PUNCT
ap-608	256	42	no	no	INTJ
ap-608	256	43	.	.	NOUN
ap-608	256	44	4	4	NUM
ap-608	256	45	,	,	PUNCT
ap-608	256	46	p.	p.	NOUN
ap-608	256	47	529–556	529–556	NUM
ap-608	256	48	.	.	PUNCT
ap-608	257	1	[	[	X
ap-608	257	2	12	12	NUM
ap-608	257	3	]	]	PUNCT
ap-608	257	4	bažant	bažant	PROPN
ap-608	257	5	z.	z.	PROPN
ap-608	257	6	p.	p.	PROPN
ap-608	257	7	,	,	PUNCT
ap-608	257	8	chen	chen	PROPN
ap-608	257	9	,	,	PUNCT
ap-608	257	10	e.-p	e.-p	PROPN
ap-608	257	11	.	.	PUNCT
ap-608	257	12	:	:	PUNCT
ap-608	257	13	“	"	PUNCT
ap-608	257	14	scaling	scaling	NOUN
ap-608	257	15	of	of	ADP
ap-608	257	16	structural	structural	ADJ
ap-608	257	17	failure	failure	NOUN
ap-608	257	18	.	.	PUNCT
ap-608	257	19	”	"	PUNCT
ap-608	257	20	applied	apply	VERB
ap-608	257	21	mechanics	mechanic	NOUN
ap-608	257	22	reviews	review	NOUN
ap-608	257	23	,	,	PUNCT
ap-608	257	24	asme	asme	PROPN
ap-608	257	25	,	,	PUNCT
ap-608	257	26	vol	vol	NOUN
ap-608	257	27	.	.	PROPN
ap-608	257	28	50	50	NUM
ap-608	257	29	(	(	PUNCT
ap-608	257	30	1997	1997	NUM
ap-608	257	31	)	)	PUNCT
ap-608	257	32	,	,	PUNCT
ap-608	258	1	no	no	INTJ
ap-608	258	2	.	.	NOUN
ap-608	258	3	10	10	NUM
ap-608	258	4	,	,	PUNCT
ap-608	258	5	p.	p.	NOUN
ap-608	258	6	593–627	593–627	NUM
ap-608	258	7	.	.	PUNCT
ap-608	259	1	[	[	X
ap-608	259	2	13	13	NUM
ap-608	259	3	]	]	PUNCT
ap-608	259	4	bažant	bažant	PROPN
ap-608	259	5	z.	z.	PROPN
ap-608	259	6	p.	p.	PROPN
ap-608	259	7	,	,	PUNCT
ap-608	259	8	jirásek	jirásek	PROPN
ap-608	259	9	m.	m.	NOUN
ap-608	259	10	:	:	PUNCT
ap-608	259	11	“	"	PUNCT
ap-608	259	12	nonlocal	nonlocal	ADJ
ap-608	259	13	integral	integral	ADJ
ap-608	259	14	formulations	formulation	NOUN
ap-608	259	15	of	of	ADP
ap-608	259	16	plasticity	plasticity	NOUN
ap-608	259	17	and	and	CCONJ
ap-608	259	18	damage	damage	NOUN
ap-608	259	19	:	:	PUNCT
ap-608	259	20	survey	survey	NOUN
ap-608	259	21	of	of	ADP
ap-608	259	22	progress	progress	NOUN
ap-608	259	23	.	.	PUNCT
ap-608	259	24	”	"	PUNCT
ap-608	260	1	j.	j.	PROPN
ap-608	260	2	of	of	ADP
ap-608	260	3	eng	eng	PROPN
ap-608	260	4	.	.	PROPN
ap-608	260	5	mechanics	mechanics	PROPN
ap-608	260	6	,	,	PUNCT
ap-608	260	7	asce	asce	NOUN
ap-608	260	8	,	,	PUNCT
ap-608	260	9	vol	vol	NOUN
ap-608	260	10	.	.	PROPN
ap-608	260	11	128	128	NUM
ap-608	260	12	(	(	PUNCT
ap-608	260	13	2002	2002	NUM
ap-608	260	14	)	)	PUNCT
ap-608	260	15	,	,	PUNCT
ap-608	260	16	no	no	INTJ
ap-608	260	17	.	.	NOUN
ap-608	260	18	11	11	NUM
ap-608	260	19	,	,	PUNCT
ap-608	260	20	p.	p.	NOUN
ap-608	260	21	1119–1149	1119–1149	NUM
ap-608	260	22	.	.	PUNCT
ap-608	261	1	[	[	X
ap-608	261	2	14	14	NUM
ap-608	261	3	]	]	PUNCT
ap-608	261	4	bažant	bažant	PROPN
ap-608	261	5	z.	z.	PROPN
ap-608	261	6	p.	p.	PROPN
ap-608	261	7	,	,	PUNCT
ap-608	261	8	kazem	kazem	PROPN
ap-608	261	9	,	,	PUNCT
ap-608	261	10	m.	m.	NOUN
ap-608	261	11	t.	t.	PROPN
ap-608	261	12	:	:	PUNCT
ap-608	261	13	“	"	PUNCT
ap-608	261	14	determination	determination	NOUN
ap-608	261	15	of	of	ADP
ap-608	261	16	fracture	fracture	ADJ
ap-608	261	17	energy	energy	NOUN
ap-608	261	18	,	,	PUNCT
ap-608	261	19	process	process	NOUN
ap-608	261	20	zone	zone	NOUN
ap-608	261	21	length	length	NOUN
ap-608	261	22	and	and	CCONJ
ap-608	261	23	brittleness	brittleness	NOUN
ap-608	261	24	number	number	NOUN
ap-608	261	25	from	from	ADP
ap-608	261	26	size	size	NOUN
ap-608	261	27	effect	effect	NOUN
ap-608	261	28	,	,	PUNCT
ap-608	261	29	with	with	ADP
ap-608	261	30	application	application	NOUN
ap-608	261	31	to	to	ADP
ap-608	261	32	rock	rock	NOUN
ap-608	261	33	and	and	CCONJ
ap-608	261	34	concrete	concrete	NOUN
ap-608	261	35	.	.	PUNCT
ap-608	261	36	”	"	PUNCT
ap-608	262	1	international	international	ADJ
ap-608	262	2	journal	journal	NOUN
ap-608	262	3	of	of	ADP
ap-608	262	4	fracture	fracture	NOUN
ap-608	262	5	,	,	PUNCT
ap-608	262	6	vol	vol	NOUN
ap-608	262	7	.	.	PROPN
ap-608	262	8	44	44	NUM
ap-608	262	9	(	(	PUNCT
ap-608	262	10	1990	1990	NUM
ap-608	262	11	)	)	PUNCT
ap-608	262	12	,	,	PUNCT
ap-608	262	13	p.	p.	NOUN
ap-608	262	14	111–131	111–131	NUM
ap-608	262	15	.	.	PUNCT
ap-608	263	1	[	[	X
ap-608	263	2	15	15	NUM
ap-608	263	3	]	]	X
ap-608	263	4	bažant	bažant	PROPN
ap-608	263	5	z.	z.	PROPN
ap-608	263	6	p.	p.	PROPN
ap-608	263	7	,	,	PUNCT
ap-608	263	8	li	li	PROPN
ap-608	263	9	z.	z.	PROPN
ap-608	263	10	:	:	PUNCT
ap-608	263	11	“	"	PUNCT
ap-608	263	12	modulus	modulus	NOUN
ap-608	263	13	of	of	ADP
ap-608	263	14	rupture	rupture	NOUN
ap-608	263	15	:	:	PUNCT
ap-608	263	16	size	size	NOUN
ap-608	263	17	effect	effect	NOUN
ap-608	263	18	due	due	ADP
ap-608	263	19	to	to	ADP
ap-608	263	20	fracture	fracture	NOUN
ap-608	263	21	initiation	initiation	NOUN
ap-608	263	22	in	in	ADP
ap-608	263	23	boundary	boundary	ADJ
ap-608	263	24	layer	layer	NOUN
ap-608	263	25	.	.	PUNCT
ap-608	263	26	”	"	PUNCT
ap-608	264	1	j.	j.	PROPN
ap-608	264	2	of	of	ADP
ap-608	264	3	struct	struct	NOUN
ap-608	264	4	.	.	PUNCT
ap-608	265	1	eng	eng	PROPN
ap-608	265	2	.	.	PUNCT
ap-608	266	1	asce	asce	PROPN
ap-608	266	2	,	,	PUNCT
ap-608	266	3	vol	vol	NOUN
ap-608	266	4	.	.	PROPN
ap-608	266	5	121	121	NUM
ap-608	266	6	(	(	PUNCT
ap-608	266	7	1995	1995	NUM
ap-608	266	8	)	)	PUNCT
ap-608	266	9	,	,	PUNCT
ap-608	266	10	no	no	INTJ
ap-608	266	11	.	.	NOUN
ap-608	266	12	4	4	NUM
ap-608	266	13	,	,	PUNCT
ap-608	266	14	p.	p.	NOUN
ap-608	266	15	739–746	739–746	NUM
ap-608	266	16	.	.	PUNCT
ap-608	267	1	[	[	X
ap-608	267	2	16	16	NUM
ap-608	267	3	]	]	PUNCT
ap-608	267	4	bažant	bažant	PROPN
ap-608	267	5	z.	z.	PROPN
ap-608	267	6	p.	p.	PROPN
ap-608	267	7	,	,	PUNCT
ap-608	267	8	li	li	PROPN
ap-608	267	9	z.	z.	PROPN
ap-608	267	10	:	:	PUNCT
ap-608	267	11	“	"	PUNCT
ap-608	267	12	zero	zero	NUM
ap-608	267	13	-	-	PUNCT
ap-608	267	14	brittleness	brittleness	NOUN
ap-608	267	15	size	size	NOUN
ap-608	267	16	-	-	PUNCT
ap-608	267	17	effect	effect	NOUN
ap-608	267	18	method	method	NOUN
ap-608	267	19	for	for	ADP
ap-608	267	20	one	one	NUM
ap-608	267	21	-	-	PUNCT
ap-608	267	22	size	size	NOUN
ap-608	267	23	fracture	fracture	NOUN
ap-608	267	24	test	test	NOUN
ap-608	267	25	of	of	ADP
ap-608	267	26	concrete	concrete	NOUN
ap-608	267	27	.	.	PUNCT
ap-608	267	28	”	"	PUNCT
ap-608	268	1	j.	j.	PROPN
ap-608	268	2	of	of	ADP
ap-608	268	3	eng	eng	PROPN
ap-608	268	4	.	.	PROPN
ap-608	268	5	mechanics	mechanics	PROPN
ap-608	268	6	,	,	PUNCT
ap-608	268	7	asce	asce	NOUN
ap-608	268	8	,	,	PUNCT
ap-608	268	9	vol	vol	NOUN
ap-608	268	10	.	.	PROPN
ap-608	268	11	122	122	NUM
ap-608	268	12	(	(	PUNCT
ap-608	268	13	1996	1996	NUM
ap-608	268	14	)	)	PUNCT
ap-608	268	15	,	,	PUNCT
ap-608	268	16	no	no	INTJ
ap-608	268	17	.	.	NOUN
ap-608	268	18	5	5	NUM
ap-608	268	19	,	,	PUNCT
ap-608	268	20	p.	p.	NOUN
ap-608	268	21	458–468	458–468	NUM
ap-608	268	22	.	.	PUNCT
ap-608	269	1	[	[	X
ap-608	269	2	17	17	NUM
ap-608	269	3	]	]	PUNCT
ap-608	269	4	bažant	bažant	PROPN
ap-608	269	5	z.	z.	PROPN
ap-608	269	6	p.	p.	PROPN
ap-608	269	7	,	,	PUNCT
ap-608	269	8	novák	novák	PROPN
ap-608	269	9	d.	d.	PROPN
ap-608	269	10	:	:	PUNCT
ap-608	269	11	“	"	PUNCT
ap-608	269	12	probabilistic	probabilistic	ADJ
ap-608	269	13	nonlocal	nonlocal	ADJ
ap-608	269	14	theory	theory	NOUN
ap-608	269	15	for	for	ADP
ap-608	269	16	quasibrittle	quasibrittle	ADJ
ap-608	269	17	fracture	fracture	NOUN
ap-608	269	18	initiation	initiation	NOUN
ap-608	269	19	and	and	CCONJ
ap-608	269	20	size	size	NOUN
ap-608	269	21	effect	effect	NOUN
ap-608	269	22	.	.	PUNCT
ap-608	270	1	i.	i.	PROPN
ap-608	270	2	theory	theory	PROPN
ap-608	270	3	.	.	PUNCT
ap-608	270	4	”	"	PUNCT
ap-608	271	1	j.	j.	PROPN
ap-608	271	2	of	of	ADP
ap-608	271	3	eng	eng	PROPN
ap-608	271	4	.	.	PROPN
ap-608	271	5	mech	mech	PROPN
ap-608	271	6	.	.	PUNCT
ap-608	271	7	,	,	PUNCT
ap-608	271	8	asce	asce	PROPN
ap-608	271	9	,	,	PUNCT
ap-608	271	10	vol	vol	NOUN
ap-608	271	11	.	.	PROPN
ap-608	271	12	126	126	NUM
ap-608	271	13	(	(	PUNCT
ap-608	271	14	2000a	2000a	NUM
ap-608	271	15	)	)	PUNCT
ap-608	271	16	,	,	PUNCT
ap-608	271	17	no	no	INTJ
ap-608	271	18	.	.	NOUN
ap-608	271	19	2	2	NUM
ap-608	271	20	,	,	PUNCT
ap-608	271	21	p.	p.	NOUN
ap-608	271	22	166–174	166–174	NUM
ap-608	271	23	.	.	PUNCT
ap-608	272	1	[	[	X
ap-608	272	2	18	18	NUM
ap-608	272	3	]	]	PUNCT
ap-608	272	4	bažant	bažant	PROPN
ap-608	272	5	z.	z.	PROPN
ap-608	272	6	p.	p.	PROPN
ap-608	272	7	,	,	PUNCT
ap-608	272	8	novák	novák	PROPN
ap-608	272	9	d.	d.	PROPN
ap-608	272	10	:	:	PUNCT
ap-608	272	11	“	"	PUNCT
ap-608	272	12	probabilistic	probabilistic	ADJ
ap-608	272	13	nonlocal	nonlocal	ADJ
ap-608	272	14	theory	theory	NOUN
ap-608	272	15	for	for	ADP
ap-608	272	16	quasibrittle	quasibrittle	ADJ
ap-608	272	17	fracture	fracture	NOUN
ap-608	272	18	initiation	initiation	NOUN
ap-608	272	19	and	and	CCONJ
ap-608	272	20	size	size	NOUN
ap-608	272	21	effect	effect	NOUN
ap-608	272	22	.	.	PUNCT
ap-608	273	1	ii	ii	X
ap-608	273	2	.	.	PUNCT
ap-608	273	3	application	application	NOUN
ap-608	273	4	.	.	PUNCT
ap-608	273	5	”	"	PUNCT
ap-608	274	1	j.	j.	PROPN
ap-608	274	2	of	of	ADP
ap-608	274	3	eng	eng	PROPN
ap-608	274	4	.	.	PROPN
ap-608	274	5	mech	mech	PROPN
ap-608	274	6	.	.	PUNCT
ap-608	274	7	,	,	PUNCT
ap-608	274	8	asce	asce	PROPN
ap-608	274	9	,	,	PUNCT
ap-608	274	10	vol	vol	NOUN
ap-608	274	11	.	.	PROPN
ap-608	274	12	126	126	NUM
ap-608	274	13	(	(	PUNCT
ap-608	274	14	2000b	2000b	NUM
ap-608	274	15	)	)	PUNCT
ap-608	274	16	,	,	PUNCT
ap-608	274	17	no	no	INTJ
ap-608	274	18	.	.	NOUN
ap-608	274	19	2	2	NUM
ap-608	274	20	,	,	PUNCT
ap-608	274	21	p.	p.	NOUN
ap-608	274	22	175–185	175–185	NUM
ap-608	274	23	.	.	PUNCT
ap-608	275	1	[	[	X
ap-608	275	2	19	19	NUM
ap-608	275	3	]	]	PUNCT
ap-608	275	4	bažant	bažant	PROPN
ap-608	275	5	z.	z.	PROPN
ap-608	275	6	p.	p.	PROPN
ap-608	275	7	,	,	PUNCT
ap-608	275	8	novák	novák	PROPN
ap-608	275	9	d.	d.	PROPN
ap-608	275	10	:	:	PUNCT
ap-608	275	11	“	"	PUNCT
ap-608	275	12	energetic	energetic	ADJ
ap-608	275	13	-	-	PUNCT
ap-608	275	14	statistical	statistical	ADJ
ap-608	275	15	size	size	NOUN
ap-608	275	16	effect	effect	NOUN
ap-608	275	17	in	in	ADP
ap-608	275	18	quasibrittle	quasibrittle	ADJ
ap-608	275	19	failure	failure	NOUN
ap-608	275	20	at	at	ADP
ap-608	275	21	crack	crack	NOUN
ap-608	275	22	initiation	initiation	NOUN
ap-608	275	23	.	.	PUNCT
ap-608	275	24	”	"	PUNCT
ap-608	276	1	aci	aci	PROPN
ap-608	276	2	mat	mat	PROPN
ap-608	276	3	.	.	PUNCT
ap-608	277	1	j.	j.	PROPN
ap-608	277	2	,	,	PUNCT
ap-608	277	3	vol	vol	NOUN
ap-608	277	4	.	.	PROPN
ap-608	277	5	97	97	NUM
ap-608	277	6	(	(	PUNCT
ap-608	277	7	2000c	2000c	NUM
ap-608	277	8	)	)	PUNCT
ap-608	277	9	,	,	PUNCT
ap-608	277	10	no	no	INTJ
ap-608	277	11	.	.	NOUN
ap-608	277	12	3	3	NUM
ap-608	277	13	,	,	PUNCT
ap-608	277	14	p.	p.	NOUN
ap-608	277	15	381–392	381–392	NUM
ap-608	277	16	.	.	PUNCT
ap-608	278	1	[	[	X
ap-608	278	2	20	20	NUM
ap-608	278	3	]	]	PUNCT
ap-608	278	4	bažant	bažant	PROPN
ap-608	278	5	z.	z.	PROPN
ap-608	278	6	p.	p.	PROPN
ap-608	278	7	,	,	PUNCT
ap-608	278	8	planas	planas	PROPN
ap-608	278	9	j.	j.	PROPN
ap-608	278	10	:	:	PUNCT
ap-608	278	11	“	"	PUNCT
ap-608	278	12	fracture	fracture	ADJ
ap-608	278	13	and	and	CCONJ
ap-608	278	14	size	size	NOUN
ap-608	278	15	effect	effect	NOUN
ap-608	278	16	in	in	ADP
ap-608	278	17	concrete	concrete	ADJ
ap-608	278	18	and	and	CCONJ
ap-608	278	19	other	other	ADJ
ap-608	278	20	quasibrittle	quasibrittle	ADJ
ap-608	278	21	materials	material	NOUN
ap-608	278	22	.	.	PUNCT
ap-608	278	23	”	"	PUNCT
ap-608	279	1	crc	crc	NOUN
ap-608	279	2	press	press	NOUN
ap-608	279	3	,	,	PUNCT
ap-608	279	4	(	(	PUNCT
ap-608	279	5	1998	1998	NUM
ap-608	279	6	)	)	PUNCT
ap-608	279	7	,	,	PUNCT
ap-608	279	8	boca	boca	PROPN
ap-608	279	9	raton	raton	PROPN
ap-608	279	10	and	and	CCONJ
ap-608	279	11	london	london	PROPN
ap-608	279	12	.	.	PUNCT
ap-608	280	1	[	[	X
ap-608	280	2	21	21	NUM
ap-608	280	3	]	]	PUNCT
ap-608	280	4	bažant	bažant	PROPN
ap-608	280	5	z.	z.	PROPN
ap-608	280	6	p.	p.	PROPN
ap-608	280	7	,	,	PUNCT
ap-608	280	8	yu	yu	PROPN
ap-608	280	9	q.	q.	PROPN
ap-608	280	10	:	:	PUNCT
ap-608	280	11	“	"	PUNCT
ap-608	280	12	designing	design	VERB
ap-608	280	13	against	against	ADP
ap-608	280	14	size	size	NOUN
ap-608	280	15	effect	effect	NOUN
ap-608	280	16	on	on	ADP
ap-608	280	17	shear	shear	NOUN
ap-608	280	18	strength	strength	NOUN
ap-608	280	19	of	of	ADP
ap-608	280	20	reinforced	reinforce	VERB
ap-608	280	21	concrete	concrete	ADJ
ap-608	280	22	beams	beam	NOUN
ap-608	280	23	without	without	ADP
ap-608	280	24	stirrups	stirrup	NOUN
ap-608	280	25	.	.	PUNCT
ap-608	280	26	”	"	PUNCT
ap-608	281	1	str	str	NOUN
ap-608	281	2	.	.	PUNCT
ap-608	282	1	eng	eng	PROPN
ap-608	282	2	.	.	PROPN
ap-608	282	3	report	report	PROPN
ap-608	282	4	,	,	PUNCT
ap-608	282	5	(	(	PUNCT
ap-608	282	6	2003	2003	NUM
ap-608	282	7	)	)	PUNCT
ap-608	282	8	,	,	PUNCT
ap-608	282	9	no	no	INTJ
ap-608	282	10	.	.	NOUN
ap-608	282	11	03	03	NUM
ap-608	282	12	-	-	SYM
ap-608	282	13	6	6	NUM
ap-608	282	14	/	/	SYM
ap-608	282	15	a446d	a446d	PROPN
ap-608	282	16	,	,	PUNCT
ap-608	282	17	northwestern	northwestern	ADJ
ap-608	282	18	university	university	NOUN
ap-608	282	19	.	.	PUNCT
ap-608	283	1	[	[	X
ap-608	283	2	22	22	NUM
ap-608	283	3	]	]	PUNCT
ap-608	283	4	bažant	bažant	PROPN
ap-608	283	5	z.	z.	PROPN
ap-608	283	6	p.	p.	PROPN
ap-608	283	7	,	,	PUNCT
ap-608	283	8	yu	yu	PROPN
ap-608	283	9	q.	q.	PROPN
ap-608	283	10	:	:	PUNCT
ap-608	283	11	“	"	PUNCT
ap-608	283	12	size	size	NOUN
ap-608	283	13	effect	effect	NOUN
ap-608	283	14	in	in	ADP
ap-608	283	15	concrete	concrete	ADJ
ap-608	283	16	specimens	specimen	NOUN
ap-608	283	17	and	and	CCONJ
ap-608	283	18	structures	structure	NOUN
ap-608	283	19	:	:	PUNCT
ap-608	283	20	new	new	ADJ
ap-608	283	21	problems	problem	NOUN
ap-608	283	22	and	and	CCONJ
ap-608	283	23	progress	progress	NOUN
ap-608	283	24	.	.	PUNCT
ap-608	283	25	”	"	PUNCT
ap-608	284	1	in	in	ADP
ap-608	284	2	fracture	fracture	PROPN
ap-608	284	3	mechanics	mechanic	NOUN
ap-608	284	4	of	of	ADP
ap-608	284	5	concrete	concrete	ADJ
ap-608	284	6	structures	structure	NOUN
ap-608	284	7	,	,	PUNCT
ap-608	284	8	(	(	PUNCT
ap-608	284	9	proc	proc	NOUN
ap-608	284	10	.	.	PROPN
ap-608	284	11	,	,	PUNCT
ap-608	284	12	framcos-5	framcos-5	PROPN
ap-608	284	13	,	,	PUNCT
ap-608	284	14	5th	5th	ADJ
ap-608	284	15	int	int	NOUN
ap-608	284	16	.	.	PUNCT
ap-608	284	17	conf	conf	NOUN
ap-608	284	18	.	.	PUNCT
ap-608	285	1	on	on	ADP
ap-608	285	2	fracture	fracture	PROPN
ap-608	285	3	mechanics	mechanic	NOUN
ap-608	285	4	of	of	ADP
ap-608	285	5	concrete	concrete	ADJ
ap-608	285	6	and	and	CCONJ
ap-608	285	7	concrete	concrete	ADJ
ap-608	285	8	structures	structure	NOUN
ap-608	285	9	)	)	PUNCT
ap-608	285	10	,	,	PUNCT
ap-608	285	11	vol	vol	NOUN
ap-608	285	12	.	.	PROPN
ap-608	285	13	1	1	NUM
ap-608	285	14	(	(	PUNCT
ap-608	285	15	2004	2004	NUM
ap-608	285	16	)	)	PUNCT
ap-608	285	17	,	,	PUNCT
ap-608	285	18	v.	v.	PROPN
ap-608	285	19	c.	c.	PROPN
ap-608	285	20	li	li	PROPN
ap-608	285	21	,	,	PUNCT
ap-608	285	22	k.	k.	PROPN
ap-608	285	23	y.	y.	PROPN
ap-608	285	24	leung	leung	PROPN
ap-608	285	25	,	,	PUNCT
ap-608	285	26	k.	k.	PROPN
ap-608	285	27	j.	j.	PROPN
ap-608	285	28	willam	willam	PROPN
ap-608	285	29	.	.	PROPN
ap-608	285	30	,	,	PUNCT
ap-608	285	31	s.	s.	PROPN
ap-608	285	32	l.	l.	PROPN
ap-608	285	33	billington	billington	PROPN
ap-608	285	34	.	.	PROPN
ap-608	285	35	,	,	PUNCT
ap-608	285	36	eds	eds	PROPN
ap-608	285	37	.	.	PUNCT
ap-608	286	1	ia	ia	PROPN
ap-608	286	2	-	-	NOUN
ap-608	286	3	framcos	framco	NOUN
ap-608	286	4	,	,	PUNCT
ap-608	286	5	(	(	PUNCT
ap-608	286	6	2004	2004	NUM
ap-608	286	7	)	)	PUNCT
ap-608	286	8	,	,	PUNCT
ap-608	286	9	p.153–162	p.153–162	NOUN
ap-608	286	10	.	.	PUNCT
ap-608	287	1	[	[	X
ap-608	287	2	23	23	NUM
ap-608	287	3	]	]	PUNCT
ap-608	287	4	bažant	bažant	PROPN
ap-608	287	5	z.	z.	PROPN
ap-608	287	6	p.	p.	PROPN
ap-608	287	7	,	,	PUNCT
ap-608	287	8	yu	yu	PROPN
ap-608	287	9	q.	q.	PROPN
ap-608	287	10	,	,	PUNCT
ap-608	287	11	zi	zi	PROPN
ap-608	287	12	g.	g.	PROPN
ap-608	287	13	:	:	PUNCT
ap-608	287	14	“	"	PUNCT
ap-608	287	15	choice	choice	NOUN
ap-608	287	16	of	of	ADP
ap-608	287	17	standard	standard	ADJ
ap-608	287	18	fracture	fracture	NOUN
ap-608	287	19	test	test	NOUN
ap-608	287	20	for	for	ADP
ap-608	287	21	concrete	concrete	ADJ
ap-608	287	22	and	and	CCONJ
ap-608	287	23	its	its	PRON
ap-608	287	24	statistical	statistical	ADJ
ap-608	287	25	evaluation	evaluation	NOUN
ap-608	287	26	.	.	PUNCT
ap-608	287	27	”	"	PUNCT
ap-608	288	1	international	international	ADJ
ap-608	288	2	journal	journal	NOUN
ap-608	288	3	of	of	ADP
ap-608	288	4	fracture	fracture	NOUN
ap-608	288	5	,	,	PUNCT
ap-608	288	6	vol	vol	NOUN
ap-608	288	7	.	.	PROPN
ap-608	289	1	118	118	NUM
ap-608	289	2	(	(	PUNCT
ap-608	289	3	2002	2002	NUM
ap-608	289	4	)	)	PUNCT
ap-608	289	5	,	,	PUNCT
ap-608	289	6	p.	p.	NOUN
ap-608	289	7	303–337	303–337	NUM
ap-608	289	8	.	.	PUNCT
ap-608	290	1	[	[	X
ap-608	290	2	24	24	NUM
ap-608	290	3	]	]	PUNCT
ap-608	290	4	buckingham	buckingham	PROPN
ap-608	290	5	e.	e.	PROPN
ap-608	290	6	:	:	PUNCT
ap-608	290	7	“	"	PUNCT
ap-608	290	8	on	on	ADP
ap-608	290	9	physically	physically	ADV
ap-608	290	10	similar	similar	ADJ
ap-608	290	11	systems	system	NOUN
ap-608	290	12	:	:	PUNCT
ap-608	290	13	illustration	illustration	NOUN
ap-608	290	14	of	of	ADP
ap-608	290	15	the	the	DET
ap-608	290	16	use	use	NOUN
ap-608	290	17	of	of	ADP
ap-608	290	18	dimensional	dimensional	ADJ
ap-608	290	19	equations	equation	NOUN
ap-608	290	20	.	.	PUNCT
ap-608	290	21	”	"	PUNCT
ap-608	290	22	phys	phy	NOUN
ap-608	290	23	.	.	PUNCT
ap-608	291	1	rev	rev	PROPN
ap-608	291	2	.	.	PROPN
ap-608	291	3	,	,	PUNCT
ap-608	291	4	vol	vol	NOUN
ap-608	291	5	.	.	PROPN
ap-608	291	6	4	4	NUM
ap-608	291	7	(	(	PUNCT
ap-608	291	8	1914	1914	NUM
ap-608	291	9	)	)	PUNCT
ap-608	291	10	,	,	PUNCT
ap-608	291	11	p.	p.	NOUN
ap-608	291	12	345–376	345–376	NUM
ap-608	291	13	.	.	PUNCT
ap-608	292	1	[	[	X
ap-608	292	2	25	25	NUM
ap-608	292	3	]	]	X
ap-608	292	4	carpinteri	carpinteri	NOUN
ap-608	292	5	a.	a.	NOUN
ap-608	292	6	:	:	PUNCT
ap-608	292	7	“	"	PUNCT
ap-608	292	8	stress	stress	NOUN
ap-608	292	9	-	-	PUNCT
ap-608	292	10	singularity	singularity	NOUN
ap-608	292	11	and	and	CCONJ
ap-608	292	12	generalized	generalized	ADJ
ap-608	292	13	fracture	fracture	NOUN
ap-608	292	14	toughness	toughness	NOUN
ap-608	292	15	at	at	ADP
ap-608	292	16	the	the	DET
ap-608	292	17	vertex	vertex	NOUN
ap-608	292	18	of	of	ADP
ap-608	292	19	re	re	ADJ
ap-608	292	20	-	-	ADJ
ap-608	292	21	entrant	entrant	ADJ
ap-608	292	22	corners	corner	NOUN
ap-608	292	23	.	.	PUNCT
ap-608	292	24	”	"	PUNCT
ap-608	293	1	engineering	engineering	NOUN
ap-608	293	2	fracture	fracture	NOUN
ap-608	293	3	mechanics	mechanic	NOUN
ap-608	293	4	,	,	PUNCT
ap-608	293	5	vol	vol	NOUN
ap-608	293	6	.	.	PROPN
ap-608	293	7	26	26	NUM
ap-608	293	8	(	(	PUNCT
ap-608	293	9	1987	1987	NUM
ap-608	293	10	)	)	PUNCT
ap-608	293	11	,	,	PUNCT
ap-608	294	1	p.	p.	NOUN
ap-608	294	2	143–155	143–155	NUM
ap-608	294	3	.	.	PUNCT
ap-608	295	1	[	[	X
ap-608	295	2	26	26	NUM
ap-608	295	3	]	]	X
ap-608	295	4	duan	duan	PROPN
ap-608	295	5	k.	k.	PROPN
ap-608	295	6	,	,	PUNCT
ap-608	295	7	hu	hu	PROPN
ap-608	295	8	x.	x.	PROPN
ap-608	295	9	z.	z.	PROPN
ap-608	295	10	:	:	PUNCT
ap-608	295	11	“	"	PUNCT
ap-608	295	12	scaling	scaling	NOUN
ap-608	295	13	of	of	ADP
ap-608	295	14	quasi	quasi	ADJ
ap-608	295	15	-	-	ADJ
ap-608	295	16	brittle	brittle	ADJ
ap-608	295	17	fracture	fracture	NOUN
ap-608	295	18	:	:	PUNCT
ap-608	295	19	boundary	boundary	ADJ
ap-608	295	20	effect	effect	NOUN
ap-608	295	21	.	.	PUNCT
ap-608	295	22	”	"	PUNCT
ap-608	295	23	submitted	submit	VERB
ap-608	295	24	to	to	ADP
ap-608	295	25	engineering	engineering	NOUN
ap-608	295	26	fracture	fracture	NOUN
ap-608	295	27	mechanics	mechanic	NOUN
ap-608	295	28	(	(	PUNCT
ap-608	295	29	2003	2003	NUM
ap-608	295	30	)	)	PUNCT
ap-608	295	31	.	.	PUNCT
ap-608	296	1	[	[	X
ap-608	296	2	27	27	NUM
ap-608	296	3	]	]	X
ap-608	296	4	duan	duan	PROPN
ap-608	296	5	k.	k.	PROPN
ap-608	296	6	,	,	PUNCT
ap-608	296	7	hu	hu	PROPN
ap-608	296	8	x.	x.	PROPN
ap-608	296	9	z.	z.	PROPN
ap-608	296	10	,	,	PUNCT
ap-608	296	11	wittmann	wittmann	PROPN
ap-608	296	12	f.	f.	PROPN
ap-608	296	13	h.	h.	PROPN
ap-608	296	14	:	:	PUNCT
ap-608	296	15	“	"	PUNCT
ap-608	296	16	explanation	explanation	NOUN
ap-608	296	17	of	of	ADP
ap-608	296	18	size	size	NOUN
ap-608	296	19	effect	effect	NOUN
ap-608	296	20	in	in	ADP
ap-608	296	21	concrete	concrete	ADJ
ap-608	296	22	fracture	fracture	NOUN
ap-608	296	23	using	use	VERB
ap-608	296	24	non	non	ADJ
ap-608	296	25	-	-	ADJ
ap-608	296	26	uniform	uniform	ADJ
ap-608	296	27	energy	energy	NOUN
ap-608	296	28	distribution	distribution	NOUN
ap-608	296	29	.	.	PUNCT
ap-608	296	30	”	"	PUNCT
ap-608	296	31	materials	material	NOUN
ap-608	296	32	and	and	CCONJ
ap-608	296	33	structures	structure	NOUN
ap-608	296	34	,	,	PUNCT
ap-608	296	35	vol	vol	NOUN
ap-608	296	36	.	.	PROPN
ap-608	296	37	35	35	NUM
ap-608	296	38	(	(	PUNCT
ap-608	296	39	2002	2002	NUM
ap-608	296	40	)	)	PUNCT
ap-608	296	41	,	,	PUNCT
ap-608	296	42	p.	p.	NOUN
ap-608	296	43	326–331	326–331	NUM
ap-608	296	44	.	.	PUNCT
ap-608	297	1	[	[	X
ap-608	297	2	28	28	NUM
ap-608	297	3	]	]	X
ap-608	297	4	duan	duan	PROPN
ap-608	297	5	k.	k.	PROPN
ap-608	297	6	,	,	PUNCT
ap-608	297	7	hu	hu	PROPN
ap-608	297	8	x.	x.	PROPN
ap-608	297	9	z.	z.	PROPN
ap-608	297	10	,	,	PUNCT
ap-608	297	11	wittmann	wittmann	PROPN
ap-608	297	12	f.	f.	PROPN
ap-608	297	13	h.	h.	PROPN
ap-608	297	14	:	:	PUNCT
ap-608	297	15	“	"	PUNCT
ap-608	297	16	boundary	boundary	ADJ
ap-608	297	17	effect	effect	NOUN
ap-608	297	18	on	on	ADP
ap-608	297	19	concrete	concrete	ADJ
ap-608	297	20	fracture	fracture	NOUN
ap-608	297	21	and	and	CCONJ
ap-608	297	22	non	non	ADJ
ap-608	297	23	-	-	ADJ
ap-608	297	24	constant	constant	ADJ
ap-608	297	25	fracture	fracture	NOUN
ap-608	297	26	energy	energy	NOUN
ap-608	297	27	distribution	distribution	NOUN
ap-608	297	28	.	.	PUNCT
ap-608	297	29	”	"	PUNCT
ap-608	298	1	eng	eng	PROPN
ap-608	298	2	.	.	PUNCT
ap-608	298	3	fracture	fracture	PROPN
ap-608	298	4	mechanics	mechanic	NOUN
ap-608	298	5	,	,	PUNCT
ap-608	298	6	vol	vol	NOUN
ap-608	298	7	70	70	NUM
ap-608	298	8	(	(	PUNCT
ap-608	298	9	2003	2003	NUM
ap-608	298	10	)	)	PUNCT
ap-608	298	11	,	,	PUNCT
ap-608	298	12	p.	p.	NOUN
ap-608	298	13	2257–2268	2257–2268	NUM
ap-608	298	14	.	.	PUNCT
ap-608	299	1	[	[	X
ap-608	299	2	29	29	NUM
ap-608	299	3	]	]	X
ap-608	299	4	dunn	dunn	PROPN
ap-608	299	5	m.	m.	PROPN
ap-608	299	6	l.	l.	PROPN
ap-608	299	7	,	,	PUNCT
ap-608	299	8	suwito	suwito	PROPN
ap-608	299	9	w.	w.	PROPN
ap-608	299	10	,	,	PUNCT
ap-608	299	11	cunningham	cunningham	PROPN
ap-608	299	12	,	,	PUNCT
ap-608	299	13	s.	s.	PROPN
ap-608	299	14	j.	j.	PROPN
ap-608	299	15	:	:	PUNCT
ap-608	299	16	“	"	PUNCT
ap-608	299	17	stress	stress	NOUN
ap-608	299	18	intensities	intensity	NOUN
ap-608	299	19	at	at	ADP
ap-608	299	20	notch	notch	ADJ
ap-608	299	21	singularities	singularity	NOUN
ap-608	299	22	.	.	PUNCT
ap-608	299	23	”	"	PUNCT
ap-608	300	1	engineering	engineering	NOUN
ap-608	300	2	fracture	fracture	NOUN
ap-608	300	3	mechanics	mechanic	NOUN
ap-608	300	4	,	,	PUNCT
ap-608	300	5	vol	vol	NOUN
ap-608	300	6	.	.	PROPN
ap-608	300	7	57	57	NUM
ap-608	300	8	(	(	PUNCT
ap-608	300	9	1997	1997	NUM
ap-608	300	10	)	)	PUNCT
ap-608	300	11	,	,	PUNCT
ap-608	300	12	no	no	INTJ
ap-608	300	13	.	.	NOUN
ap-608	300	14	4	4	NUM
ap-608	300	15	,	,	PUNCT
ap-608	300	16	p.	p.	NOUN
ap-608	300	17	417–430	417–430	NUM
ap-608	300	18	.	.	PUNCT
ap-608	301	1	[	[	X
ap-608	301	2	30	30	NUM
ap-608	301	3	]	]	X
ap-608	301	4	dunn	dunn	PROPN
ap-608	301	5	m.	m.	PROPN
ap-608	301	6	l.	l.	PROPN
ap-608	301	7	,	,	PUNCT
ap-608	301	8	suwito	suwito	PROPN
ap-608	301	9	w.	w.	PROPN
ap-608	301	10	,	,	PUNCT
ap-608	301	11	cunningham	cunningham	PROPN
ap-608	301	12	s.	s.	PROPN
ap-608	301	13	j.	j.	PROPN
ap-608	301	14	:	:	PUNCT
ap-608	301	15	“	"	PUNCT
ap-608	301	16	fracture	fracture	ADJ
ap-608	301	17	initiation	initiation	NOUN
ap-608	301	18	at	at	ADP
ap-608	301	19	sharp	sharp	ADJ
ap-608	301	20	notches	notch	NOUN
ap-608	301	21	:	:	PUNCT
ap-608	301	22	correlation	correlation	NOUN
ap-608	301	23	using	use	VERB
ap-608	301	24	critical	critical	ADJ
ap-608	301	25	stress	stress	NOUN
ap-608	301	26	intensities	intensity	NOUN
ap-608	301	27	.	.	PUNCT
ap-608	301	28	”	"	PUNCT
ap-608	302	1	int	int	NOUN
ap-608	302	2	.	.	PUNCT
ap-608	303	1	j.	j.	PROPN
ap-608	303	2	solids	solids	PROPN
ap-608	303	3	structures	structures	PROPN
ap-608	303	4	,	,	PUNCT
ap-608	303	5	vol	vol	NOUN
ap-608	303	6	.	.	PUNCT
ap-608	303	7	34	34	NUM
ap-608	303	8	(	(	PUNCT
ap-608	303	9	1997	1997	NUM
ap-608	303	10	)	)	PUNCT
ap-608	303	11	,	,	PUNCT
ap-608	303	12	no	no	INTJ
ap-608	303	13	.	.	NOUN
ap-608	303	14	29	29	NUM
ap-608	303	15	,	,	PUNCT
ap-608	303	16	p.	p.	NOUN
ap-608	303	17	3873–3883	3873–3883	NUM
ap-608	303	18	.	.	PUNCT
ap-608	304	1	[	[	X
ap-608	304	2	31	31	NUM
ap-608	304	3	]	]	PUNCT
ap-608	304	4	elices	elice	NOUN
ap-608	304	5	m.	m.	NOUN
ap-608	304	6	,	,	PUNCT
ap-608	304	7	guinea	guinea	NOUN
ap-608	304	8	g.	g.	PROPN
ap-608	304	9	v.	v.	PROPN
ap-608	304	10	,	,	PUNCT
ap-608	304	11	planas	planas	PROPN
ap-608	304	12	j.	j.	PROPN
ap-608	304	13	:	:	PUNCT
ap-608	304	14	“	"	PUNCT
ap-608	304	15	measurement	measurement	NOUN
ap-608	304	16	of	of	ADP
ap-608	304	17	the	the	DET
ap-608	304	18	fracture	fracture	NOUN
ap-608	304	19	energy	energy	NOUN
ap-608	304	20	using	use	VERB
ap-608	304	21	three	three	NUM
ap-608	304	22	-	-	PUNCT
ap-608	304	23	point	point	NOUN
ap-608	304	24	bend	bend	NOUN
ap-608	304	25	tests	test	NOUN
ap-608	304	26	:	:	PUNCT
ap-608	304	27	part	part	NOUN
ap-608	304	28	3	3	NUM
ap-608	304	29	–	–	PUNCT
ap-608	304	30	influence	influence	NOUN
ap-608	304	31	of	of	ADP
ap-608	304	32	cutting	cut	VERB
ap-608	304	33	the	the	DET
ap-608	304	34	p	p	NOUN
ap-608	304	35	tail	tail	NOUN
ap-608	304	36	.	.	PUNCT
ap-608	304	37	”	"	PUNCT
ap-608	304	38	materials	material	NOUN
ap-608	304	39	and	and	CCONJ
ap-608	304	40	structures	structure	NOUN
ap-608	304	41	,	,	PUNCT
ap-608	304	42	vol	vol	NOUN
ap-608	304	43	.	.	PROPN
ap-608	304	44	25	25	NUM
ap-608	304	45	(	(	PUNCT
ap-608	304	46	1992	1992	NUM
ap-608	304	47	)	)	PUNCT
ap-608	304	48	,	,	PUNCT
ap-608	304	49	p.	p.	NOUN
ap-608	304	50	327	327	NUM
ap-608	304	51	.	.	PUNCT
ap-608	305	1	[	[	X
ap-608	305	2	32	32	NUM
ap-608	305	3	]	]	PUNCT
ap-608	305	4	guinea	guinea	NOUN
ap-608	305	5	g.	g.	PROPN
ap-608	305	6	v.	v.	PROPN
ap-608	305	7	,	,	PUNCT
ap-608	305	8	planas	planas	PROPN
ap-608	305	9	j.	j.	PROPN
ap-608	305	10	,	,	PUNCT
ap-608	305	11	elices	elice	VERB
ap-608	305	12	m.	m.	NOUN
ap-608	305	13	:	:	PUNCT
ap-608	305	14	“	"	PUNCT
ap-608	305	15	correlation	correlation	NOUN
ap-608	305	16	between	between	ADP
ap-608	305	17	the	the	DET
ap-608	305	18	softening	softening	NOUN
ap-608	305	19	and	and	CCONJ
ap-608	305	20	the	the	DET
ap-608	305	21	size	size	NOUN
ap-608	305	22	effect	effect	NOUN
ap-608	305	23	curves	curve	NOUN
ap-608	305	24	.	.	PUNCT
ap-608	305	25	”	"	PUNCT
ap-608	306	1	size	size	NOUN
ap-608	306	2	effect	effect	NOUN
ap-608	306	3	in	in	ADP
ap-608	306	4	concrete	concrete	NOUN
ap-608	306	5	.	.	PUNCT
ap-608	307	1	mihashi	mihashi	PROPN
ap-608	307	2	h.	h.	PROPN
ap-608	307	3	,	,	PUNCT
ap-608	307	4	okamura	okamura	PROPN
ap-608	307	5	h.	h.	PROPN
ap-608	307	6	,	,	PUNCT
ap-608	307	7	bažant	bažant	PROPN
ap-608	307	8	z.	z.	PROPN
ap-608	307	9	p.	p.	PROPN
ap-608	307	10	eds	eds	PROPN
ap-608	307	11	.	.	PROPN
ap-608	307	12	,	,	PUNCT
ap-608	307	13	(	(	PUNCT
ap-608	307	14	1994a	1994a	NUM
ap-608	307	15	)	)	PUNCT
ap-608	307	16	,	,	PUNCT
ap-608	307	17	e&fn	e&fn	PROPN
ap-608	307	18	spon	spon	PROPN
ap-608	307	19	,	,	PUNCT
ap-608	307	20	london	london	PROPN
ap-608	307	21	,	,	PUNCT
ap-608	307	22	p.	p.	NOUN
ap-608	307	23	233–244	233–244	NUM
ap-608	307	24	.	.	PUNCT
ap-608	308	1	[	[	X
ap-608	308	2	33	33	NUM
ap-608	308	3	]	]	PUNCT
ap-608	308	4	guinea	guinea	NOUN
ap-608	308	5	g.	g.	PROPN
ap-608	308	6	v.	v.	PROPN
ap-608	308	7	,	,	PUNCT
ap-608	308	8	planas	planas	PROPN
ap-608	308	9	j.	j.	PROPN
ap-608	308	10	,	,	PUNCT
ap-608	308	11	elices	elice	VERB
ap-608	308	12	m.	m.	NOUN
ap-608	308	13	:	:	PUNCT
ap-608	308	14	“	"	PUNCT
ap-608	308	15	a	a	DET
ap-608	308	16	general	general	ADJ
ap-608	308	17	bilinear	bilinear	NOUN
ap-608	308	18	fitting	fit	VERB
ap-608	308	19	for	for	ADP
ap-608	308	20	the	the	DET
ap-608	308	21	softening	soften	VERB
ap-608	308	22	curve	curve	NOUN
ap-608	308	23	of	of	ADP
ap-608	308	24	concrete	concrete	NOUN
ap-608	308	25	.	.	PUNCT
ap-608	308	26	”	"	PUNCT
ap-608	309	1	materials	material	NOUN
ap-608	309	2	and	and	CCONJ
ap-608	309	3	structures	structure	NOUN
ap-608	309	4	,	,	PUNCT
ap-608	309	5	vol	vol	NOUN
ap-608	309	6	.	.	PROPN
ap-608	309	7	27	27	NUM
ap-608	309	8	(	(	PUNCT
ap-608	309	9	1994b	1994b	NUM
ap-608	309	10	)	)	PUNCT
ap-608	309	11	,	,	PUNCT
ap-608	309	12	p.	p.	NOUN
ap-608	309	13	99	99	NUM
ap-608	309	14	.	.	PUNCT
ap-608	310	1	[	[	X
ap-608	310	2	34	34	NUM
ap-608	310	3	]	]	X
ap-608	310	4	hu	hu	PROPN
ap-608	310	5	x.	x.	PROPN
ap-608	310	6	z.	z.	PROPN
ap-608	310	7	:	:	PUNCT
ap-608	310	8	“	"	PUNCT
ap-608	310	9	toughness	toughness	NOUN
ap-608	310	10	measurements	measurement	NOUN
ap-608	310	11	from	from	ADP
ap-608	310	12	crack	crack	VERB
ap-608	310	13	close	close	ADV
ap-608	310	14	to	to	ADP
ap-608	310	15	free	free	ADJ
ap-608	310	16	edge	edge	NOUN
ap-608	310	17	.	.	PUNCT
ap-608	310	18	”	"	PUNCT
ap-608	311	1	international	international	ADJ
ap-608	311	2	journal	journal	NOUN
ap-608	311	3	of	of	ADP
ap-608	311	4	fracture	fracture	NOUN
ap-608	311	5	,	,	PUNCT
ap-608	311	6	vol	vol	NOUN
ap-608	311	7	.	.	PROPN
ap-608	311	8	86	86	NUM
ap-608	311	9	(	(	PUNCT
ap-608	311	10	1997	1997	NUM
ap-608	311	11	)	)	PUNCT
ap-608	311	12	,	,	PUNCT
ap-608	311	13	no	no	INTJ
ap-608	311	14	.	.	NOUN
ap-608	311	15	4	4	NUM
ap-608	311	16	,	,	PUNCT
ap-608	311	17	p.	p.	NOUN
ap-608	311	18	l63	l63	PROPN
ap-608	311	19	–	–	PUNCT
ap-608	311	20	l68	l68	NOUN
ap-608	311	21	.	.	PUNCT
ap-608	312	1	14	14	NUM
ap-608	313	1	©	©	PROPN
ap-608	313	2	czech	czech	PROPN
ap-608	313	3	technical	technical	PROPN
ap-608	313	4	university	university	PROPN
ap-608	313	5	publishing	publishing	NOUN
ap-608	313	6	house	house	NOUN
ap-608	313	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-608	313	8	acta	acta	PROPN
ap-608	313	9	polytechnica	polytechnica	PROPN
ap-608	313	10	vol	vol	NOUN
ap-608	313	11	.	.	PROPN
ap-608	314	1	44	44	NUM
ap-608	314	2	no	no	NOUN
ap-608	314	3	.	.	PUNCT
ap-608	315	1	5–6/2004	5–6/2004	NUM
ap-608	316	1	[	[	X
ap-608	316	2	35	35	NUM
ap-608	316	3	]	]	X
ap-608	316	4	hu	hu	PROPN
ap-608	316	5	x.	x.	PROPN
ap-608	316	6	z.	z.	PROPN
ap-608	316	7	:	:	PUNCT
ap-608	316	8	“	"	PUNCT
ap-608	316	9	size	size	NOUN
ap-608	316	10	effects	effect	NOUN
ap-608	316	11	in	in	ADP
ap-608	316	12	toughness	toughness	NOUN
ap-608	316	13	induced	induce	VERB
ap-608	316	14	by	by	ADP
ap-608	316	15	crack	crack	NOUN
ap-608	316	16	close	close	ADJ
ap-608	316	17	to	to	ADP
ap-608	316	18	free	free	ADJ
ap-608	316	19	edge	edge	NOUN
ap-608	316	20	.	.	PUNCT
ap-608	316	21	”	"	PUNCT
ap-608	317	1	fracture	fracture	ADJ
ap-608	317	2	mechanics	mechanic	NOUN
ap-608	317	3	of	of	ADP
ap-608	317	4	concrete	concrete	ADJ
ap-608	317	5	structures	structure	NOUN
ap-608	317	6	.	.	PUNCT
ap-608	318	1	mihashi	mihashi	PROPN
ap-608	318	2	h.	h.	PROPN
ap-608	318	3	,	,	PUNCT
ap-608	318	4	rohugo	rohugo	PROPN
ap-608	318	5	k.	k.	PROPN
ap-608	318	6	eds	eds	PROPN
ap-608	318	7	.	.	PROPN
ap-608	318	8	,	,	PUNCT
ap-608	318	9	proc	proc	NOUN
ap-608	318	10	.	.	PUNCT
ap-608	319	1	framcos-3	framcos-3	PROPN
ap-608	319	2	,	,	PUNCT
ap-608	319	3	japan	japan	PROPN
ap-608	319	4	,	,	PUNCT
ap-608	319	5	1998	1998	NUM
ap-608	319	6	,	,	PUNCT
ap-608	320	1	p.	p.	NOUN
ap-608	320	2	2011–2020	2011–2020	NUM
ap-608	320	3	.	.	PUNCT
ap-608	321	1	[	[	X
ap-608	321	2	36	36	NUM
ap-608	321	3	]	]	X
ap-608	321	4	hu	hu	PROPN
ap-608	321	5	x.	x.	PROPN
ap-608	321	6	z.	z.	PROPN
ap-608	321	7	,	,	PUNCT
ap-608	321	8	wittmann	wittmann	PROPN
ap-608	321	9	f.	f.	PROPN
ap-608	321	10	h.	h.	PROPN
ap-608	321	11	:	:	PUNCT
ap-608	321	12	“	"	PUNCT
ap-608	321	13	an	an	DET
ap-608	321	14	analytical	analytical	ADJ
ap-608	321	15	method	method	NOUN
ap-608	321	16	to	to	PART
ap-608	321	17	determine	determine	VERB
ap-608	321	18	the	the	DET
ap-608	321	19	bridging	bridging	NOUN
ap-608	321	20	stress	stress	NOUN
ap-608	321	21	transferred	transfer	VERB
ap-608	321	22	within	within	ADP
ap-608	321	23	the	the	DET
ap-608	321	24	fracture	fracture	NOUN
ap-608	321	25	process	process	NOUN
ap-608	321	26	zone	zone	NOUN
ap-608	321	27	:	:	PUNCT
ap-608	321	28	i.	i.	PROPN
ap-608	321	29	general	general	PROPN
ap-608	321	30	theory	theory	PROPN
ap-608	321	31	.	.	PUNCT
ap-608	321	32	”	"	PUNCT
ap-608	321	33	cement	cement	NOUN
ap-608	321	34	and	and	CCONJ
ap-608	321	35	concrete	concrete	ADJ
ap-608	321	36	research	research	NOUN
ap-608	321	37	,	,	PUNCT
ap-608	321	38	vol	vol	NOUN
ap-608	321	39	.	.	PROPN
ap-608	321	40	21	21	NUM
ap-608	321	41	(	(	PUNCT
ap-608	321	42	1991	1991	NUM
ap-608	321	43	)	)	PUNCT
ap-608	321	44	,	,	PUNCT
ap-608	321	45	p.	p.	NOUN
ap-608	321	46	1118–1128	1118–1128	NUM
ap-608	321	47	.	.	PUNCT
ap-608	322	1	[	[	X
ap-608	322	2	37	37	NUM
ap-608	322	3	]	]	SYM
ap-608	322	4	hu	hu	PROPN
ap-608	322	5	x.	x.	PROPN
ap-608	322	6	z.	z.	PROPN
ap-608	322	7	,	,	PUNCT
ap-608	322	8	wittmann	wittmann	PROPN
ap-608	322	9	f.	f.	PROPN
ap-608	322	10	h.	h.	PROPN
ap-608	322	11	:	:	PUNCT
ap-608	322	12	“	"	PUNCT
ap-608	322	13	an	an	DET
ap-608	322	14	analytical	analytical	ADJ
ap-608	322	15	method	method	NOUN
ap-608	322	16	to	to	PART
ap-608	322	17	determine	determine	VERB
ap-608	322	18	the	the	DET
ap-608	322	19	bridging	bridging	NOUN
ap-608	322	20	stress	stress	NOUN
ap-608	322	21	transferred	transfer	VERB
ap-608	322	22	within	within	ADP
ap-608	322	23	the	the	DET
ap-608	322	24	fracture	fracture	NOUN
ap-608	322	25	process	process	NOUN
ap-608	322	26	zone	zone	NOUN
ap-608	322	27	:	:	PUNCT
ap-608	322	28	ii	ii	PROPN
ap-608	322	29	.	.	PUNCT
ap-608	322	30	application	application	NOUN
ap-608	322	31	to	to	ADP
ap-608	322	32	mortar	mortar	NOUN
ap-608	322	33	.	.	PUNCT
ap-608	322	34	”	"	PUNCT
ap-608	322	35	cement	cement	NOUN
ap-608	322	36	and	and	CCONJ
ap-608	322	37	concrete	concrete	ADJ
ap-608	322	38	research	research	NOUN
ap-608	322	39	,	,	PUNCT
ap-608	322	40	vol	vol	NOUN
ap-608	322	41	.	.	PROPN
ap-608	322	42	22	22	NUM
ap-608	322	43	(	(	PUNCT
ap-608	322	44	1992a	1992a	NUM
ap-608	322	45	)	)	PUNCT
ap-608	322	46	,	,	PUNCT
ap-608	322	47	p.	p.	NOUN
ap-608	322	48	559–570	559–570	NUM
ap-608	322	49	.	.	PUNCT
ap-608	323	1	[	[	X
ap-608	323	2	38	38	NUM
ap-608	323	3	]	]	PUNCT
ap-608	323	4	hu	hu	PROPN
ap-608	323	5	x.	x.	PROPN
ap-608	323	6	z.	z.	PROPN
ap-608	323	7	,	,	PUNCT
ap-608	323	8	wittmann	wittmann	PROPN
ap-608	323	9	f.	f.	PROPN
ap-608	323	10	h.	h.	PROPN
ap-608	323	11	:	:	PUNCT
ap-608	323	12	“	"	PUNCT
ap-608	323	13	fracture	fracture	ADJ
ap-608	323	14	energy	energy	NOUN
ap-608	323	15	and	and	CCONJ
ap-608	323	16	fracture	fracture	NOUN
ap-608	323	17	process	process	NOUN
ap-608	323	18	zone	zone	NOUN
ap-608	323	19	.	.	PUNCT
ap-608	323	20	”	"	PUNCT
ap-608	323	21	materials	material	NOUN
ap-608	323	22	and	and	CCONJ
ap-608	323	23	structures	structure	NOUN
ap-608	323	24	,	,	PUNCT
ap-608	323	25	vol	vol	NOUN
ap-608	323	26	.	.	PROPN
ap-608	323	27	25	25	NUM
ap-608	323	28	(	(	PUNCT
ap-608	323	29	1992b	1992b	NUM
ap-608	323	30	)	)	PUNCT
ap-608	323	31	,	,	PUNCT
ap-608	323	32	p.	p.	NOUN
ap-608	323	33	319–326	319–326	NUM
ap-608	323	34	.	.	PUNCT
ap-608	324	1	[	[	X
ap-608	324	2	39	39	NUM
ap-608	324	3	]	]	PUNCT
ap-608	324	4	hu	hu	PROPN
ap-608	324	5	x.	x.	PROPN
ap-608	324	6	z.	z.	PROPN
ap-608	324	7	,	,	PUNCT
ap-608	324	8	wittmann	wittmann	PROPN
ap-608	324	9	f.	f.	PROPN
ap-608	324	10	h.	h.	PROPN
ap-608	324	11	:	:	PUNCT
ap-608	324	12	“	"	PUNCT
ap-608	324	13	size	size	NOUN
ap-608	324	14	effect	effect	NOUN
ap-608	324	15	on	on	ADP
ap-608	324	16	toughness	toughness	NOUN
ap-608	324	17	induced	induce	VERB
ap-608	324	18	by	by	ADP
ap-608	324	19	crack	crack	NOUN
ap-608	324	20	close	close	ADV
ap-608	324	21	to	to	ADP
ap-608	324	22	free	free	ADJ
ap-608	324	23	surface	surface	NOUN
ap-608	324	24	.	.	PUNCT
ap-608	324	25	”	"	PUNCT
ap-608	324	26	engineering	engineering	NOUN
ap-608	324	27	fracture	fracture	NOUN
ap-608	324	28	mechanics	mechanic	NOUN
ap-608	324	29	,	,	PUNCT
ap-608	324	30	vol	vol	NOUN
ap-608	324	31	.	.	PROPN
ap-608	324	32	65	65	NUM
ap-608	324	33	(	(	PUNCT
ap-608	324	34	2000	2000	NUM
ap-608	324	35	)	)	PUNCT
ap-608	324	36	,	,	PUNCT
ap-608	324	37	p.	p.	NOUN
ap-608	324	38	209–221	209–221	NUM
ap-608	324	39	.	.	PUNCT
ap-608	325	1	[	[	X
ap-608	325	2	40	40	NUM
ap-608	325	3	]	]	X
ap-608	325	4	jirásek	jirásek	NOUN
ap-608	325	5	m.	m.	NOUN
ap-608	325	6	:	:	PUNCT
ap-608	325	7	keynote	keynote	PROPN
ap-608	325	8	lecture	lecture	NOUN
ap-608	325	9	presented	present	VERB
ap-608	325	10	at	at	ADP
ap-608	325	11	euro	euro	PROPN
ap-608	325	12	-	-	PUNCT
ap-608	325	13	c	c	PROPN
ap-608	325	14	,	,	PUNCT
ap-608	325	15	st	st	PROPN
ap-608	325	16	.	.	PROPN
ap-608	325	17	johann	johann	PROPN
ap-608	325	18	in	in	ADP
ap-608	325	19	pongau	pongau	PROPN
ap-608	325	20	,	,	PUNCT
ap-608	325	21	austria	austria	PROPN
ap-608	325	22	(	(	PUNCT
ap-608	325	23	2003	2003	NUM
ap-608	325	24	)	)	PUNCT
ap-608	325	25	.	.	PUNCT
ap-608	326	1	[	[	X
ap-608	326	2	41	41	NUM
ap-608	326	3	]	]	X
ap-608	326	4	karihaloo	karihaloo	PROPN
ap-608	326	5	b.	b.	PROPN
ap-608	326	6	l.	l.	PROPN
ap-608	326	7	:	:	PUNCT
ap-608	326	8	“	"	PUNCT
ap-608	326	9	size	size	NOUN
ap-608	326	10	effect	effect	NOUN
ap-608	326	11	in	in	ADP
ap-608	326	12	shallow	shallow	ADJ
ap-608	326	13	and	and	CCONJ
ap-608	326	14	deep	deep	ADJ
ap-608	326	15	notched	notch	VERB
ap-608	326	16	quasi	quasi	ADJ
ap-608	326	17	-	-	ADJ
ap-608	326	18	brittle	brittle	ADJ
ap-608	326	19	structures	structure	NOUN
ap-608	326	20	.	.	PUNCT
ap-608	326	21	”	"	PUNCT
ap-608	327	1	international	international	ADJ
ap-608	327	2	journal	journal	NOUN
ap-608	327	3	of	of	ADP
ap-608	327	4	fracture	fracture	NOUN
ap-608	327	5	,	,	PUNCT
ap-608	327	6	vol	vol	NOUN
ap-608	327	7	.	.	PROPN
ap-608	327	8	95	95	NUM
ap-608	327	9	(	(	PUNCT
ap-608	327	10	1999	1999	NUM
ap-608	327	11	)	)	PUNCT
ap-608	327	12	,	,	PUNCT
ap-608	327	13	p.	p.	NOUN
ap-608	327	14	379–390	379–390	NUM
ap-608	327	15	.	.	PUNCT
ap-608	328	1	[	[	X
ap-608	328	2	42	42	NUM
ap-608	328	3	]	]	X
ap-608	328	4	karihaloo	karihaloo	PROPN
ap-608	328	5	b.	b.	PROPN
ap-608	328	6	l.	l.	PROPN
ap-608	328	7	,	,	PUNCT
ap-608	328	8	abdalla	abdalla	PROPN
ap-608	328	9	h.	h.	PROPN
ap-608	328	10	m.	m.	PROPN
ap-608	328	11	,	,	PUNCT
ap-608	328	12	imjai	imjai	PROPN
ap-608	328	13	t.	t.	PROPN
ap-608	328	14	:	:	PUNCT
ap-608	328	15	“	"	PUNCT
ap-608	328	16	a	a	DET
ap-608	328	17	simple	simple	ADJ
ap-608	328	18	method	method	NOUN
ap-608	328	19	for	for	ADP
ap-608	328	20	determining	determine	VERB
ap-608	328	21	the	the	DET
ap-608	328	22	true	true	ADJ
ap-608	328	23	specific	specific	ADJ
ap-608	328	24	fracture	fracture	NOUN
ap-608	328	25	energy	energy	NOUN
ap-608	328	26	of	of	ADP
ap-608	328	27	concrete	concrete	NOUN
ap-608	328	28	.	.	PUNCT
ap-608	328	29	”	"	PUNCT
ap-608	328	30	magazine	magazine	NOUN
ap-608	328	31	of	of	ADP
ap-608	328	32	concrete	concrete	ADJ
ap-608	328	33	research	research	NOUN
ap-608	328	34	,	,	PUNCT
ap-608	328	35	vol	vol	NOUN
ap-608	328	36	.	.	PUNCT
ap-608	328	37	55	55	NUM
ap-608	328	38	(	(	PUNCT
ap-608	328	39	2003	2003	NUM
ap-608	328	40	)	)	PUNCT
ap-608	328	41	,	,	PUNCT
ap-608	328	42	no	no	INTJ
ap-608	328	43	.	.	NOUN
ap-608	328	44	5	5	NUM
ap-608	328	45	,	,	PUNCT
ap-608	328	46	p.	p.	NOUN
ap-608	328	47	471–481	471–481	NUM
ap-608	328	48	.	.	PUNCT
ap-608	329	1	[	[	X
ap-608	329	2	43	43	NUM
ap-608	329	3	]	]	X
ap-608	329	4	karihaloo	karihaloo	PROPN
ap-608	329	5	b.	b.	PROPN
ap-608	329	6	l.	l.	PROPN
ap-608	329	7	,	,	PUNCT
ap-608	329	8	abdalla	abdalla	PROPN
ap-608	329	9	h.	h.	PROPN
ap-608	329	10	m.	m.	PROPN
ap-608	329	11	,	,	PUNCT
ap-608	329	12	xiao	xiao	PROPN
ap-608	329	13	q.	q.	PROPN
ap-608	329	14	z.	z.	PROPN
ap-608	329	15	:	:	PUNCT
ap-608	329	16	“	"	PUNCT
ap-608	329	17	size	size	NOUN
ap-608	329	18	effect	effect	NOUN
ap-608	329	19	in	in	ADP
ap-608	329	20	concrete	concrete	ADJ
ap-608	329	21	beams	beam	NOUN
ap-608	329	22	.	.	PUNCT
ap-608	329	23	”	"	PUNCT
ap-608	330	1	engineering	engineering	NOUN
ap-608	330	2	fracture	fracture	NOUN
ap-608	330	3	mechanics	mechanic	NOUN
ap-608	330	4	,	,	PUNCT
ap-608	330	5	vol	vol	NOUN
ap-608	330	6	.	.	PROPN
ap-608	330	7	70	70	NUM
ap-608	330	8	(	(	PUNCT
ap-608	330	9	2003	2003	NUM
ap-608	330	10	)	)	PUNCT
ap-608	330	11	,	,	PUNCT
ap-608	331	1	p.	p.	NOUN
ap-608	331	2	979–993	979–993	NUM
ap-608	331	3	.	.	PUNCT
ap-608	332	1	[	[	X
ap-608	332	2	44	44	NUM
ap-608	332	3	]	]	PUNCT
ap-608	332	4	reineck	reineck	NOUN
ap-608	332	5	k.	k.	PROPN
ap-608	332	6	,	,	PUNCT
ap-608	332	7	kuchma	kuchma	PROPN
ap-608	332	8	d.	d.	PROPN
ap-608	332	9	a.	a.	PROPN
ap-608	332	10	,	,	PUNCT
ap-608	332	11	kim	kim	PROPN
ap-608	332	12	k.	k.	PROPN
ap-608	332	13	s.	s.	PROPN
ap-608	332	14	,	,	PUNCT
ap-608	332	15	marx	marx	PROPN
ap-608	332	16	s.	s.	PROPN
ap-608	332	17	:	:	PUNCT
ap-608	332	18	“	"	PUNCT
ap-608	332	19	shear	shear	NOUN
ap-608	332	20	database	database	NOUN
ap-608	332	21	for	for	ADP
ap-608	332	22	reinforced	reinforce	VERB
ap-608	332	23	concrete	concrete	ADJ
ap-608	332	24	members	member	NOUN
ap-608	332	25	without	without	ADP
ap-608	332	26	shear	shear	NOUN
ap-608	332	27	reinforcement	reinforcement	NOUN
ap-608	332	28	.	.	PUNCT
ap-608	332	29	”	"	PUNCT
ap-608	333	1	aci	aci	PROPN
ap-608	333	2	structural	structural	ADJ
ap-608	333	3	journal	journal	PROPN
ap-608	333	4	,	,	PUNCT
ap-608	333	5	vol	vol	NOUN
ap-608	333	6	.	.	PROPN
ap-608	333	7	100	100	NUM
ap-608	333	8	(	(	PUNCT
ap-608	333	9	2003	2003	NUM
ap-608	333	10	)	)	PUNCT
ap-608	333	11	,	,	PUNCT
ap-608	333	12	no	no	INTJ
ap-608	333	13	.	.	NOUN
ap-608	333	14	2	2	NUM
ap-608	333	15	,	,	PUNCT
ap-608	333	16	p.	p.	NOUN
ap-608	333	17	240–249	240–249	NUM
ap-608	333	18	;	;	PUNCT
ap-608	333	19	with	with	ADP
ap-608	333	20	discussions	discussion	NOUN
ap-608	333	21	by	by	ADP
ap-608	333	22	bažant	bažant	NOUN
ap-608	333	23	and	and	CCONJ
ap-608	333	24	yu	yu	PROPN
ap-608	333	25	in	in	ADP
ap-608	333	26	aci	aci	PROPN
ap-608	333	27	materials	materials	PROPN
ap-608	333	28	j.	j.	PROPN
ap-608	333	29	,	,	PUNCT
ap-608	333	30	vol	vol	NOUN
ap-608	333	31	.	.	PROPN
ap-608	334	1	101	101	NUM
ap-608	334	2	,	,	PUNCT
ap-608	334	3	no	no	INTJ
ap-608	334	4	.	.	NOUN
ap-608	334	5	1	1	NUM
ap-608	334	6	(	(	PUNCT
ap-608	334	7	jan.-feb	jan.-feb	PROPN
ap-608	334	8	.	.	NOUN
ap-608	334	9	2004	2004	NUM
ap-608	334	10	)	)	PUNCT
ap-608	334	11	.	.	PUNCT
ap-608	335	1	[	[	X
ap-608	335	2	45	45	NUM
ap-608	335	3	]	]	PUNCT
ap-608	335	4	rice	rice	PROPN
ap-608	335	5	r.	r.	PROPN
ap-608	335	6	j.	j.	PROPN
ap-608	335	7	:	:	PUNCT
ap-608	335	8	“	"	PUNCT
ap-608	335	9	mathematical	mathematical	ADJ
ap-608	335	10	analysis	analysis	NOUN
ap-608	335	11	in	in	ADP
ap-608	335	12	the	the	DET
ap-608	335	13	mechanics	mechanic	NOUN
ap-608	335	14	of	of	ADP
ap-608	335	15	fracture	fracture	NOUN
ap-608	335	16	.	.	PUNCT
ap-608	335	17	”	"	PUNCT
ap-608	336	1	fracture	fracture	NOUN
ap-608	336	2	-	-	PUNCT
ap-608	336	3	an	an	DET
ap-608	336	4	advanced	advanced	ADJ
ap-608	336	5	treatise	treatise	NOUN
ap-608	336	6	,	,	PUNCT
ap-608	336	7	vol	vol	NOUN
ap-608	336	8	.	.	PROPN
ap-608	336	9	2	2	NUM
ap-608	336	10	(	(	PUNCT
ap-608	336	11	1968	1968	NUM
ap-608	336	12	)	)	PUNCT
ap-608	336	13	.	.	PUNCT
ap-608	337	1	liebowitz	liebowitz	PROPN
ap-608	337	2	h.	h.	PROPN
ap-608	337	3	ed	ed	PROPN
ap-608	337	4	.	.	PROPN
ap-608	337	5	,	,	PUNCT
ap-608	337	6	academic	academic	ADJ
ap-608	337	7	press	press	NOUN
ap-608	337	8	,	,	PUNCT
ap-608	337	9	new	new	PROPN
ap-608	337	10	york	york	PROPN
ap-608	337	11	,	,	PUNCT
ap-608	337	12	p.	p.	NOUN
ap-608	337	13	191–308	191–308	NUM
ap-608	337	14	.	.	PUNCT
ap-608	338	1	[	[	X
ap-608	338	2	46	46	NUM
ap-608	338	3	]	]	X
ap-608	338	4	tang	tang	PROPN
ap-608	338	5	t.	t.	PROPN
ap-608	338	6	,	,	PUNCT
ap-608	338	7	bažant	bažant	PROPN
ap-608	338	8	z.	z.	PROPN
ap-608	338	9	p.	p.	PROPN
ap-608	338	10	,	,	PUNCT
ap-608	338	11	yang	yang	PROPN
ap-608	338	12	s.	s.	PROPN
ap-608	338	13	,	,	PUNCT
ap-608	338	14	zollinger	zollinger	PROPN
ap-608	338	15	d.	d.	PROPN
ap-608	338	16	:	:	PUNCT
ap-608	338	17	“	"	PUNCT
ap-608	338	18	variable	variable	ADJ
ap-608	338	19	-	-	PUNCT
ap-608	338	20	notch	notch	NOUN
ap-608	338	21	one	one	NUM
ap-608	338	22	-	-	PUNCT
ap-608	338	23	size	size	NOUN
ap-608	338	24	test	test	NOUN
ap-608	338	25	method	method	NOUN
ap-608	338	26	for	for	ADP
ap-608	338	27	fracture	fracture	NOUN
ap-608	338	28	energy	energy	NOUN
ap-608	338	29	and	and	CCONJ
ap-608	338	30	process	process	NOUN
ap-608	338	31	zone	zone	NOUN
ap-608	338	32	length	length	NOUN
ap-608	338	33	.	.	PUNCT
ap-608	338	34	”	"	PUNCT
ap-608	339	1	eng	eng	PROPN
ap-608	339	2	.	.	PUNCT
ap-608	339	3	fracture	fracture	PROPN
ap-608	339	4	mechanics	mechanic	NOUN
ap-608	339	5	,	,	PUNCT
ap-608	339	6	vol	vol	NOUN
ap-608	339	7	.	.	PUNCT
ap-608	339	8	55	55	NUM
ap-608	339	9	(	(	PUNCT
ap-608	339	10	1996	1996	NUM
ap-608	339	11	)	)	PUNCT
ap-608	339	12	,	,	PUNCT
ap-608	339	13	no	no	INTJ
ap-608	339	14	.	.	NOUN
ap-608	339	15	3	3	NUM
ap-608	339	16	,	,	PUNCT
ap-608	339	17	p.	p.	NOUN
ap-608	339	18	383–404	383–404	NUM
ap-608	339	19	.	.	PUNCT
ap-608	340	1	[	[	X
ap-608	340	2	47	47	NUM
ap-608	340	3	]	]	PUNCT
ap-608	340	4	williams	williams	PROPN
ap-608	340	5	m.	m.	PROPN
ap-608	340	6	l.	l.	PROPN
ap-608	340	7	:	:	PUNCT
ap-608	340	8	“	"	PUNCT
ap-608	340	9	stress	stress	NOUN
ap-608	340	10	singularities	singularity	NOUN
ap-608	340	11	resulting	result	VERB
ap-608	340	12	from	from	ADP
ap-608	340	13	various	various	ADJ
ap-608	340	14	boundary	boundary	ADJ
ap-608	340	15	conditions	condition	NOUN
ap-608	340	16	in	in	ADP
ap-608	340	17	angular	angular	ADJ
ap-608	340	18	corners	corner	NOUN
ap-608	340	19	of	of	ADP
ap-608	340	20	plates	plate	NOUN
ap-608	340	21	in	in	ADP
ap-608	340	22	extension	extension	NOUN
ap-608	340	23	.	.	PUNCT
ap-608	340	24	”	"	PUNCT
ap-608	341	1	journal	journal	NOUN
ap-608	341	2	of	of	ADP
ap-608	341	3	applied	apply	VERB
ap-608	341	4	mechanics	mechanic	NOUN
ap-608	341	5	,	,	PUNCT
ap-608	341	6	vol	vol	NOUN
ap-608	341	7	.	.	PROPN
ap-608	341	8	74	74	NUM
ap-608	341	9	(	(	PUNCT
ap-608	341	10	1952	1952	NUM
ap-608	341	11	)	)	PUNCT
ap-608	341	12	,	,	PUNCT
ap-608	342	1	p.	p.	NOUN
ap-608	342	2	526–528	526–528	NUM
ap-608	342	3	.	.	PUNCT
ap-608	343	1	[	[	X
ap-608	343	2	48	48	NUM
ap-608	343	3	]	]	PUNCT
ap-608	343	4	wittmann	wittmann	PROPN
ap-608	343	5	f.	f.	PROPN
ap-608	343	6	h.	h.	PROPN
ap-608	343	7	,	,	PUNCT
ap-608	343	8	mihashi	mihashi	PROPN
ap-608	343	9	h.	h.	PROPN
ap-608	343	10	,	,	PUNCT
ap-608	343	11	nomura	nomura	NOUN
ap-608	343	12	n.	n.	NOUN
ap-608	343	13	:	:	PUNCT
ap-608	343	14	“	"	PUNCT
ap-608	343	15	size	size	NOUN
ap-608	343	16	effect	effect	NOUN
ap-608	343	17	on	on	ADP
ap-608	343	18	fracture	fracture	NOUN
ap-608	343	19	energy	energy	NOUN
ap-608	343	20	of	of	ADP
ap-608	343	21	concrete	concrete	NOUN
ap-608	343	22	.	.	PUNCT
ap-608	343	23	”	"	PUNCT
ap-608	344	1	eng	eng	PROPN
ap-608	344	2	.	.	PUNCT
ap-608	344	3	fracture	fracture	PROPN
ap-608	344	4	mechanics	mechanic	NOUN
ap-608	344	5	,	,	PUNCT
ap-608	344	6	vol	vol	NOUN
ap-608	344	7	.	.	PROPN
ap-608	344	8	35	35	NUM
ap-608	344	9	(	(	PUNCT
ap-608	344	10	1990	1990	NUM
ap-608	344	11	)	)	PUNCT
ap-608	344	12	,	,	PUNCT
ap-608	344	13	p.	p.	NOUN
ap-608	344	14	107–115	107–115	NUM
ap-608	344	15	.	.	PUNCT
ap-608	345	1	zdeněk	zdeněk	PROPN
ap-608	345	2	p.	p.	PROPN
ap-608	345	3	bažant	bažant	PROPN
ap-608	345	4	qiang	qiang	PROPN
ap-608	345	5	yu	yu	PROPN
ap-608	345	6	mccormick	mccormick	PROPN
ap-608	345	7	school	school	PROPN
ap-608	345	8	of	of	ADP
ap-608	345	9	engineering	engineering	NOUN
ap-608	345	10	and	and	CCONJ
ap-608	345	11	applied	apply	VERB
ap-608	345	12	science	science	NOUN
ap-608	345	13	,	,	PUNCT
ap-608	345	14	cee	cee	PROPN
ap-608	345	15	2145	2145	NUM
ap-608	345	16	sheridan	sheridan	PROPN
ap-608	345	17	road	road	PROPN
ap-608	345	18	,	,	PUNCT
ap-608	345	19	northwestern	northwestern	ADJ
ap-608	345	20	university	university	NOUN
ap-608	345	21	,	,	PUNCT
ap-608	345	22	evanston	evanston	PROPN
ap-608	345	23	,	,	PUNCT
ap-608	345	24	illinois	illinois	PROPN
ap-608	345	25	60208	60208	NUM
ap-608	345	26	,	,	PUNCT
ap-608	345	27	u.s.a	u.s.a	X
ap-608	345	28	.	.	PUNCT
ap-608	346	1	©	©	PROPN
ap-608	346	2	czech	czech	PROPN
ap-608	346	3	technical	technical	PROPN
ap-608	346	4	university	university	PROPN
ap-608	346	5	publishing	publishing	NOUN
ap-608	346	6	house	house	NOUN
ap-608	346	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-608	346	8	15	15	NUM
ap-608	346	9	acta	acta	PROPN
ap-608	346	10	polytechnica	polytechnica	PROPN
ap-608	346	11	vol	vol	NOUN
ap-608	346	12	.	.	PROPN
ap-608	347	1	44	44	NUM
ap-608	347	2	no	no	NOUN
ap-608	347	3	.	.	PUNCT
ap-608	348	1	5–6/2004	5–6/2004	NUM