id	sid	tid	token	lemma	pos
ap-1672	1	1	acta	acta	PROPN
ap-1672	1	2	polytechnica	polytechnica	PROPN
ap-1672	1	3	vol	vol	NOUN
ap-1672	1	4	.	.	PROPN
ap-1672	2	1	52	52	NUM
ap-1672	2	2	no	no	NOUN
ap-1672	2	3	.	.	PUNCT
ap-1672	3	1	6/2012	6/2012	NUM
ap-1672	3	2	a	a	DET
ap-1672	3	3	micromechanics	micromechanic	NOUN
ap-1672	3	4	-	-	PUNCT
ap-1672	3	5	based	base	VERB
ap-1672	3	6	model	model	NOUN
ap-1672	3	7	for	for	ADP
ap-1672	3	8	stiffness	stiffness	NOUN
ap-1672	3	9	and	and	CCONJ
ap-1672	3	10	strength	strength	NOUN
ap-1672	3	11	estimation	estimation	NOUN
ap-1672	3	12	of	of	ADP
ap-1672	3	13	cocciopesto	cocciopesto	ADJ
ap-1672	3	14	mortars	mortar	NOUN
ap-1672	3	15	václav	václav	PROPN
ap-1672	3	16	nežerka	nežerka	PROPN
ap-1672	3	17	,	,	PUNCT
ap-1672	3	18	jan	jan	PROPN
ap-1672	3	19	zeman	zeman	PROPN
ap-1672	3	20	department	department	PROPN
ap-1672	3	21	of	of	ADP
ap-1672	3	22	mechanics	mechanic	NOUN
ap-1672	3	23	,	,	PUNCT
ap-1672	3	24	faculty	faculty	NOUN
ap-1672	3	25	of	of	ADP
ap-1672	3	26	civil	civil	ADJ
ap-1672	3	27	engineering	engineering	NOUN
ap-1672	3	28	,	,	PUNCT
ap-1672	3	29	czech	czech	PROPN
ap-1672	3	30	technical	technical	PROPN
ap-1672	3	31	university	university	PROPN
ap-1672	3	32	in	in	ADP
ap-1672	3	33	prague	prague	PROPN
ap-1672	3	34	,	,	PUNCT
ap-1672	3	35	thákurova	thákurova	PROPN
ap-1672	3	36	7	7	NUM
ap-1672	3	37	,	,	PUNCT
ap-1672	3	38	166	166	NUM
ap-1672	3	39	29	29	NUM
ap-1672	3	40	praha	praha	NOUN
ap-1672	3	41	6	6	NUM
ap-1672	3	42	,	,	PUNCT
ap-1672	3	43	czech	czech	PROPN
ap-1672	3	44	republic	republic	NOUN
ap-1672	3	45	corresponding	corresponding	ADJ
ap-1672	3	46	author	author	NOUN
ap-1672	3	47	:	:	PUNCT
ap-1672	3	48	vaclav.nezerka@fsv.cvut.cz	vaclav.nezerka@fsv.cvut.cz	NOUN
ap-1672	3	49	,	,	PUNCT
ap-1672	3	50	zemanj@cml.fsv.cvut.cz	zemanj@cml.fsv.cvut.cz	NOUN
ap-1672	3	51	abstract	abstract	NOUN
ap-1672	3	52	the	the	DET
ap-1672	3	53	purpose	purpose	NOUN
ap-1672	3	54	of	of	ADP
ap-1672	3	55	this	this	DET
ap-1672	3	56	paper	paper	NOUN
ap-1672	3	57	is	be	AUX
ap-1672	3	58	to	to	PART
ap-1672	3	59	propose	propose	VERB
ap-1672	3	60	an	an	DET
ap-1672	3	61	inexpensive	inexpensive	ADJ
ap-1672	3	62	micromechanics	micromechanic	NOUN
ap-1672	3	63	-	-	PUNCT
ap-1672	3	64	based	base	VERB
ap-1672	3	65	scheme	scheme	NOUN
ap-1672	3	66	for	for	ADP
ap-1672	3	67	stiffness	stiffness	ADJ
ap-1672	3	68	homogenization	homogenization	NOUN
ap-1672	3	69	and	and	CCONJ
ap-1672	3	70	strength	strength	NOUN
ap-1672	3	71	estimation	estimation	NOUN
ap-1672	3	72	of	of	ADP
ap-1672	3	73	mortars	mortar	NOUN
ap-1672	3	74	containing	contain	VERB
ap-1672	3	75	crushed	crush	VERB
ap-1672	3	76	bricks	brick	NOUN
ap-1672	3	77	,	,	PUNCT
ap-1672	3	78	known	know	VERB
ap-1672	3	79	as	as	ADP
ap-1672	3	80	cocciopesto	cocciopesto	NOUN
ap-1672	3	81	.	.	PUNCT
ap-1672	4	1	the	the	DET
ap-1672	4	2	model	model	NOUN
ap-1672	4	3	utilizes	utilize	VERB
ap-1672	4	4	the	the	DET
ap-1672	4	5	mori	mori	NOUN
ap-1672	4	6	-	-	PUNCT
ap-1672	4	7	tanaka	tanaka	PROPN
ap-1672	4	8	method	method	NOUN
ap-1672	4	9	for	for	ADP
ap-1672	4	10	determining	determine	VERB
ap-1672	4	11	the	the	DET
ap-1672	4	12	effective	effective	ADJ
ap-1672	4	13	stiffness	stiffness	NOUN
ap-1672	4	14	,	,	PUNCT
ap-1672	4	15	combined	combine	VERB
ap-1672	4	16	with	with	ADP
ap-1672	4	17	estimates	estimate	NOUN
ap-1672	4	18	of	of	ADP
ap-1672	4	19	quadratic	quadratic	ADJ
ap-1672	4	20	invariants	invariant	NOUN
ap-1672	4	21	of	of	ADP
ap-1672	4	22	the	the	DET
ap-1672	4	23	deviatoric	deviatoric	NOUN
ap-1672	4	24	stresses	stress	NOUN
ap-1672	4	25	inside	inside	ADP
ap-1672	4	26	phases	phase	NOUN
ap-1672	4	27	to	to	PART
ap-1672	4	28	predict	predict	VERB
ap-1672	4	29	the	the	DET
ap-1672	4	30	compressive	compressive	ADJ
ap-1672	4	31	strength	strength	NOUN
ap-1672	4	32	.	.	PUNCT
ap-1672	5	1	special	special	ADJ
ap-1672	5	2	attention	attention	NOUN
ap-1672	5	3	is	be	AUX
ap-1672	5	4	paid	pay	VERB
ap-1672	5	5	to	to	ADP
ap-1672	5	6	the	the	DET
ap-1672	5	7	representation	representation	NOUN
ap-1672	5	8	of	of	ADP
ap-1672	5	9	the	the	DET
ap-1672	5	10	c	c	PROPN
ap-1672	5	11	-	-	PUNCT
ap-1672	5	12	s	s	NOUN
ap-1672	5	13	-	-	PUNCT
ap-1672	5	14	h	h	NOUN
ap-1672	5	15	gel	gel	NOUN
ap-1672	5	16	layer	layer	NOUN
ap-1672	5	17	around	around	ADP
ap-1672	5	18	bricks	brick	NOUN
ap-1672	5	19	and	and	CCONJ
ap-1672	5	20	the	the	DET
ap-1672	5	21	interfacial	interfacial	ADJ
ap-1672	5	22	transition	transition	NOUN
ap-1672	5	23	zone	zone	NOUN
ap-1672	5	24	around	around	ADP
ap-1672	5	25	sand	sand	NOUN
ap-1672	5	26	aggregates	aggregate	NOUN
ap-1672	5	27	,	,	PUNCT
ap-1672	5	28	which	which	PRON
ap-1672	5	29	renders	render	VERB
ap-1672	5	30	the	the	DET
ap-1672	5	31	predictions	prediction	NOUN
ap-1672	5	32	sensitive	sensitive	ADJ
ap-1672	5	33	to	to	ADP
ap-1672	5	34	particle	particle	NOUN
ap-1672	5	35	sizes	size	NOUN
ap-1672	5	36	.	.	PUNCT
ap-1672	6	1	several	several	ADJ
ap-1672	6	2	parametric	parametric	ADJ
ap-1672	6	3	studies	study	NOUN
ap-1672	6	4	are	be	AUX
ap-1672	6	5	performed	perform	VERB
ap-1672	6	6	to	to	PART
ap-1672	6	7	demonstrate	demonstrate	VERB
ap-1672	6	8	that	that	SCONJ
ap-1672	6	9	the	the	DET
ap-1672	6	10	method	method	NOUN
ap-1672	6	11	correctly	correctly	ADV
ap-1672	6	12	reproduces	reproduce	VERB
ap-1672	6	13	the	the	DET
ap-1672	6	14	data	datum	NOUN
ap-1672	6	15	and	and	CCONJ
ap-1672	6	16	trends	trend	NOUN
ap-1672	6	17	reported	report	VERB
ap-1672	6	18	in	in	ADP
ap-1672	6	19	the	the	DET
ap-1672	6	20	available	available	ADJ
ap-1672	6	21	literature	literature	NOUN
ap-1672	6	22	.	.	PUNCT
ap-1672	7	1	moreover	moreover	ADV
ap-1672	7	2	,	,	PUNCT
ap-1672	7	3	the	the	DET
ap-1672	7	4	model	model	NOUN
ap-1672	7	5	is	be	AUX
ap-1672	7	6	based	base	VERB
ap-1672	7	7	exclusively	exclusively	ADV
ap-1672	7	8	on	on	ADP
ap-1672	7	9	parameters	parameter	NOUN
ap-1672	7	10	with	with	ADP
ap-1672	7	11	a	a	DET
ap-1672	7	12	clear	clear	ADJ
ap-1672	7	13	physical	physical	ADJ
ap-1672	7	14	or	or	CCONJ
ap-1672	7	15	geometrical	geometrical	ADJ
ap-1672	7	16	meaning	meaning	NOUN
ap-1672	7	17	,	,	PUNCT
ap-1672	7	18	and	and	CCONJ
ap-1672	7	19	as	as	ADP
ap-1672	7	20	such	such	ADJ
ap-1672	7	21	it	it	PRON
ap-1672	7	22	provides	provide	VERB
ap-1672	7	23	a	a	DET
ap-1672	7	24	convenient	convenient	ADJ
ap-1672	7	25	framework	framework	NOUN
ap-1672	7	26	for	for	ADP
ap-1672	7	27	its	its	PRON
ap-1672	7	28	further	further	ADJ
ap-1672	7	29	experimental	experimental	ADJ
ap-1672	7	30	validation	validation	NOUN
ap-1672	7	31	.	.	PUNCT
ap-1672	8	1	keywords	keyword	NOUN
ap-1672	8	2	:	:	PUNCT
ap-1672	9	1	micromechanics	micromechanic	NOUN
ap-1672	9	2	,	,	PUNCT
ap-1672	9	3	homogenization	homogenization	NOUN
ap-1672	9	4	,	,	PUNCT
ap-1672	9	5	strength	strength	NOUN
ap-1672	9	6	estimation	estimation	NOUN
ap-1672	9	7	,	,	PUNCT
ap-1672	9	8	cocciopesto	cocciopesto	NOUN
ap-1672	9	9	,	,	PUNCT
ap-1672	9	10	c	c	X
ap-1672	9	11	-	-	PUNCT
ap-1672	9	12	s	s	NOUN
ap-1672	9	13	-	-	PUNCT
ap-1672	9	14	h	h	NOUN
ap-1672	9	15	gel	gel	NOUN
ap-1672	9	16	coating	coating	NOUN
ap-1672	9	17	,	,	PUNCT
ap-1672	9	18	interfacial	interfacial	ADJ
ap-1672	9	19	transition	transition	NOUN
ap-1672	9	20	zone	zone	NOUN
ap-1672	9	21	.	.	PUNCT
ap-1672	10	1	1	1	NUM
ap-1672	10	2	introduction	introduction	NOUN
ap-1672	10	3	the	the	DET
ap-1672	10	4	use	use	NOUN
ap-1672	10	5	of	of	ADP
ap-1672	10	6	lime	lime	NOUN
ap-1672	10	7	as	as	ADP
ap-1672	10	8	a	a	DET
ap-1672	10	9	binder	binder	NOUN
ap-1672	10	10	in	in	ADP
ap-1672	10	11	mortars	mortar	NOUN
ap-1672	10	12	is	be	AUX
ap-1672	10	13	associated	associate	VERB
ap-1672	10	14	with	with	ADP
ap-1672	10	15	well	well	ADV
ap-1672	10	16	-	-	PUNCT
ap-1672	10	17	known	know	VERB
ap-1672	10	18	inconveniences	inconvenience	NOUN
ap-1672	10	19	,	,	PUNCT
ap-1672	10	20	such	such	ADJ
ap-1672	10	21	as	as	ADP
ap-1672	10	22	slow	slow	ADJ
ap-1672	10	23	setting	setting	NOUN
ap-1672	10	24	and	and	CCONJ
ap-1672	10	25	carbonation	carbonation	NOUN
ap-1672	10	26	,	,	PUNCT
ap-1672	10	27	high	high	ADJ
ap-1672	10	28	drying	dry	VERB
ap-1672	10	29	shrinkage	shrinkage	NOUN
ap-1672	10	30	and	and	CCONJ
ap-1672	10	31	porosity	porosity	NOUN
ap-1672	10	32	,	,	PUNCT
ap-1672	10	33	and	and	CCONJ
ap-1672	10	34	low	low	ADJ
ap-1672	10	35	mechanical	mechanical	ADJ
ap-1672	10	36	strength	strength	NOUN
ap-1672	10	37	[	[	X
ap-1672	10	38	1	1	NUM
ap-1672	10	39	]	]	PUNCT
ap-1672	10	40	.	.	PUNCT
ap-1672	11	1	although	although	SCONJ
ap-1672	11	2	these	these	DET
ap-1672	11	3	limitations	limitation	NOUN
ap-1672	11	4	have	have	AUX
ap-1672	11	5	been	be	AUX
ap-1672	11	6	overcome	overcome	VERB
ap-1672	11	7	with	with	ADP
ap-1672	11	8	the	the	DET
ap-1672	11	9	use	use	NOUN
ap-1672	11	10	of	of	ADP
ap-1672	11	11	portland	portland	PROPN
ap-1672	11	12	cement	cement	NOUN
ap-1672	11	13	in	in	ADP
ap-1672	11	14	the	the	DET
ap-1672	11	15	last	last	ADJ
ap-1672	11	16	50	50	NUM
ap-1672	11	17	years	year	NOUN
ap-1672	11	18	,	,	PUNCT
ap-1672	11	19	lime	lime	NOUN
ap-1672	11	20	mortars	mortar	NOUN
ap-1672	11	21	still	still	ADV
ap-1672	11	22	find	find	VERB
ap-1672	11	23	use	use	NOUN
ap-1672	11	24	in	in	ADP
ap-1672	11	25	the	the	DET
ap-1672	11	26	restoration	restoration	NOUN
ap-1672	11	27	of	of	ADP
ap-1672	11	28	historic	historic	ADJ
ap-1672	11	29	structures	structure	NOUN
ap-1672	11	30	.	.	PUNCT
ap-1672	12	1	this	this	PRON
ap-1672	12	2	is	be	AUX
ap-1672	12	3	mainly	mainly	ADV
ap-1672	12	4	due	due	ADJ
ap-1672	12	5	to	to	ADP
ap-1672	12	6	their	their	PRON
ap-1672	12	7	superior	superior	ADJ
ap-1672	12	8	compatibility	compatibility	NOUN
ap-1672	12	9	with	with	ADP
ap-1672	12	10	the	the	DET
ap-1672	12	11	original	original	ADJ
ap-1672	12	12	materials	material	NOUN
ap-1672	12	13	,	,	PUNCT
ap-1672	12	14	in	in	ADP
ap-1672	12	15	contrast	contrast	NOUN
ap-1672	12	16	to	to	ADP
ap-1672	12	17	many	many	ADJ
ap-1672	12	18	modern	modern	ADJ
ap-1672	12	19	renovation	renovation	NOUN
ap-1672	12	20	render	render	VERB
ap-1672	12	21	systems	system	NOUN
ap-1672	12	22	,	,	PUNCT
ap-1672	12	23	e.g.	e.g.	ADV
ap-1672	12	24	[	[	X
ap-1672	12	25	16	16	NUM
ap-1672	12	26	,	,	PUNCT
ap-1672	12	27	17	17	NUM
ap-1672	12	28	,	,	PUNCT
ap-1672	12	29	29	29	NUM
ap-1672	12	30	]	]	PUNCT
ap-1672	12	31	.	.	PUNCT
ap-1672	13	1	the	the	DET
ap-1672	13	2	mechanical	mechanical	ADJ
ap-1672	13	3	properties	property	NOUN
ap-1672	13	4	of	of	ADP
ap-1672	13	5	lime	lime	NOUN
ap-1672	13	6	mortars	mortar	NOUN
ap-1672	13	7	can	can	AUX
ap-1672	13	8	be	be	AUX
ap-1672	13	9	improved	improve	VERB
ap-1672	13	10	by	by	ADP
ap-1672	13	11	the	the	DET
ap-1672	13	12	suitable	suitable	ADJ
ap-1672	13	13	design	design	NOUN
ap-1672	13	14	of	of	ADP
ap-1672	13	15	the	the	DET
ap-1672	13	16	mixture	mixture	NOUN
ap-1672	13	17	.	.	PUNCT
ap-1672	14	1	the	the	DET
ap-1672	14	2	phoenicians	phoenicians	PROPN
ap-1672	14	3	were	be	AUX
ap-1672	14	4	probably	probably	ADV
ap-1672	14	5	the	the	DET
ap-1672	14	6	first	first	ADJ
ap-1672	14	7	ones	one	NOUN
ap-1672	14	8	to	to	PART
ap-1672	14	9	add	add	VERB
ap-1672	14	10	crushed	crushed	ADJ
ap-1672	14	11	clay	clay	NOUN
ap-1672	14	12	products	product	NOUN
ap-1672	14	13	,	,	PUNCT
ap-1672	14	14	such	such	ADJ
ap-1672	14	15	as	as	ADP
ap-1672	14	16	burnt	burn	VERB
ap-1672	14	17	bricks	brick	NOUN
ap-1672	14	18	,	,	PUNCT
ap-1672	14	19	tiles	tile	NOUN
ap-1672	14	20	or	or	CCONJ
ap-1672	14	21	pieces	piece	NOUN
ap-1672	14	22	of	of	ADP
ap-1672	14	23	pottery	pottery	NOUN
ap-1672	14	24	,	,	PUNCT
ap-1672	14	25	to	to	AUX
ap-1672	14	26	lime	lime	NOUN
ap-1672	14	27	mortars	mortar	NOUN
ap-1672	14	28	to	to	PART
ap-1672	14	29	increase	increase	VERB
ap-1672	14	30	their	their	PRON
ap-1672	14	31	durability	durability	NOUN
ap-1672	14	32	and	and	CCONJ
ap-1672	14	33	strength	strength	NOUN
ap-1672	14	34	.	.	PUNCT
ap-1672	15	1	the	the	DET
ap-1672	15	2	romans	roman	NOUN
ap-1672	15	3	called	call	VERB
ap-1672	15	4	this	this	DET
ap-1672	15	5	material	material	ADJ
ap-1672	15	6	cocciopesto	cocciopesto	NOUN
ap-1672	15	7	and	and	CCONJ
ap-1672	15	8	utilized	utilize	VERB
ap-1672	15	9	this	this	DET
ap-1672	15	10	mortar	mortar	NOUN
ap-1672	15	11	in	in	ADP
ap-1672	15	12	areas	area	NOUN
ap-1672	15	13	where	where	SCONJ
ap-1672	15	14	other	other	ADJ
ap-1672	15	15	natural	natural	ADJ
ap-1672	15	16	pozzolans	pozzolan	NOUN
ap-1672	15	17	were	be	AUX
ap-1672	15	18	not	not	PART
ap-1672	15	19	available	available	ADJ
ap-1672	15	20	.	.	PUNCT
ap-1672	16	1	cocciopesto	cocciopesto	NOUN
ap-1672	16	2	-	-	PUNCT
ap-1672	16	3	based	base	VERB
ap-1672	16	4	structures	structure	NOUN
ap-1672	16	5	exhibit	exhibit	VERB
ap-1672	16	6	increased	increase	VERB
ap-1672	16	7	ductility	ductility	NOUN
ap-1672	16	8	,	,	PUNCT
ap-1672	16	9	leading	lead	VERB
ap-1672	16	10	to	to	ADP
ap-1672	16	11	their	their	PRON
ap-1672	16	12	remarkable	remarkable	ADJ
ap-1672	16	13	resistance	resistance	NOUN
ap-1672	16	14	to	to	ADP
ap-1672	16	15	earthquakes	earthquake	NOUN
ap-1672	16	16	[	[	X
ap-1672	16	17	3	3	NUM
ap-1672	16	18	,	,	PUNCT
ap-1672	16	19	21	21	NUM
ap-1672	16	20	]	]	PUNCT
ap-1672	16	21	.	.	PUNCT
ap-1672	17	1	much	much	ADV
ap-1672	17	2	later	later	ADV
ap-1672	17	3	,	,	PUNCT
ap-1672	17	4	it	it	PRON
ap-1672	17	5	was	be	AUX
ap-1672	17	6	found	find	VERB
ap-1672	17	7	that	that	SCONJ
ap-1672	17	8	the	the	DET
ap-1672	17	9	mortars	mortar	NOUN
ap-1672	17	10	containing	contain	VERB
ap-1672	17	11	crushed	crush	VERB
ap-1672	17	12	clay	clay	NOUN
ap-1672	17	13	bricks	brick	NOUN
ap-1672	17	14	,	,	PUNCT
ap-1672	17	15	burnt	burn	VERB
ap-1672	17	16	at	at	ADP
ap-1672	17	17	600–900	600–900	NUM
ap-1672	17	18	°	°	NOUN
ap-1672	17	19	c	c	NOUN
ap-1672	17	20	,	,	PUNCT
ap-1672	17	21	exhibit	exhibit	VERB
ap-1672	17	22	a	a	DET
ap-1672	17	23	hydraulic	hydraulic	ADJ
ap-1672	17	24	character	character	NOUN
ap-1672	17	25	,	,	PUNCT
ap-1672	17	26	manifested	manifest	VERB
ap-1672	17	27	by	by	ADP
ap-1672	17	28	the	the	DET
ap-1672	17	29	formation	formation	NOUN
ap-1672	17	30	of	of	ADP
ap-1672	17	31	a	a	DET
ap-1672	17	32	thin	thin	ADJ
ap-1672	17	33	layer	layer	NOUN
ap-1672	17	34	of	of	ADP
ap-1672	17	35	calcium	calcium	NOUN
ap-1672	17	36	-	-	PUNCT
ap-1672	17	37	silicate	silicate	NOUN
ap-1672	17	38	-	-	PUNCT
ap-1672	17	39	hydrate	hydrate	NOUN
ap-1672	17	40	(	(	PUNCT
ap-1672	17	41	c	c	NOUN
ap-1672	17	42	-	-	PUNCT
ap-1672	17	43	s	s	NOUN
ap-1672	17	44	-	-	PUNCT
ap-1672	17	45	h	h	NOUN
ap-1672	17	46	)	)	PUNCT
ap-1672	17	47	gel	gel	NOUN
ap-1672	17	48	at	at	ADP
ap-1672	17	49	the	the	DET
ap-1672	17	50	lime	lime	NOUN
ap-1672	17	51	-	-	PUNCT
ap-1672	17	52	brick	brick	NOUN
ap-1672	17	53	interface	interface	NOUN
ap-1672	17	54	[	[	X
ap-1672	17	55	20	20	NUM
ap-1672	17	56	]	]	PUNCT
ap-1672	17	57	.	.	PUNCT
ap-1672	18	1	since	since	SCONJ
ap-1672	18	2	c	c	NOUN
ap-1672	18	3	-	-	PUNCT
ap-1672	18	4	s	s	NOUN
ap-1672	18	5	-	-	PUNCT
ap-1672	18	6	h	h	NOUN
ap-1672	18	7	gel	gel	NOUN
ap-1672	18	8	is	be	AUX
ap-1672	18	9	the	the	DET
ap-1672	18	10	key	key	ADJ
ap-1672	18	11	component	component	NOUN
ap-1672	18	12	responsible	responsible	ADJ
ap-1672	18	13	for	for	ADP
ap-1672	18	14	the	the	DET
ap-1672	18	15	favorable	favorable	ADJ
ap-1672	18	16	mechanical	mechanical	ADJ
ap-1672	18	17	performance	performance	NOUN
ap-1672	18	18	of	of	ADP
ap-1672	18	19	portland	portland	PROPN
ap-1672	18	20	cement	cement	NOUN
ap-1672	18	21	pastes	paste	NOUN
ap-1672	18	22	[	[	X
ap-1672	18	23	23	23	NUM
ap-1672	18	24	]	]	PUNCT
ap-1672	18	25	,	,	PUNCT
ap-1672	18	26	it	it	PRON
ap-1672	18	27	is	be	AUX
ap-1672	18	28	generally	generally	ADV
ap-1672	18	29	conjectured	conjecture	VERB
ap-1672	18	30	that	that	SCONJ
ap-1672	18	31	the	the	DET
ap-1672	18	32	enhanced	enhanced	ADJ
ap-1672	18	33	performance	performance	NOUN
ap-1672	18	34	of	of	ADP
ap-1672	18	35	cocciopesto	cocciopesto	ADJ
ap-1672	18	36	mortars	mortar	NOUN
ap-1672	18	37	can	can	AUX
ap-1672	18	38	be	be	AUX
ap-1672	18	39	attributed	attribute	VERB
ap-1672	18	40	to	to	ADP
ap-1672	18	41	the	the	DET
ap-1672	18	42	high	high	ADJ
ap-1672	18	43	strength	strength	NOUN
ap-1672	18	44	and	and	CCONJ
ap-1672	18	45	stiffness	stiffness	NOUN
ap-1672	18	46	of	of	ADP
ap-1672	18	47	the	the	DET
ap-1672	18	48	c	c	PROPN
ap-1672	18	49	-	-	PUNCT
ap-1672	18	50	s	s	NOUN
ap-1672	18	51	-	-	PUNCT
ap-1672	18	52	h	h	NOUN
ap-1672	18	53	gel	gel	NOUN
ap-1672	18	54	coating	coating	NOUN
ap-1672	19	1	[	[	X
ap-1672	19	2	3	3	NUM
ap-1672	19	3	,	,	PUNCT
ap-1672	19	4	20	20	NUM
ap-1672	19	5	,	,	PUNCT
ap-1672	19	6	21	21	NUM
ap-1672	19	7	,	,	PUNCT
ap-1672	19	8	29	29	NUM
ap-1672	19	9	]	]	PUNCT
ap-1672	19	10	.	.	PUNCT
ap-1672	20	1	this	this	DET
ap-1672	20	2	mechanism	mechanism	NOUN
ap-1672	20	3	competes	compete	VERB
ap-1672	20	4	with	with	ADP
ap-1672	20	5	the	the	DET
ap-1672	20	6	formation	formation	NOUN
ap-1672	20	7	of	of	ADP
ap-1672	20	8	the	the	DET
ap-1672	20	9	interfacial	interfacial	ADJ
ap-1672	20	10	transition	transition	NOUN
ap-1672	20	11	zone	zone	NOUN
ap-1672	20	12	(	(	PUNCT
ap-1672	20	13	itz	itz	PROPN
ap-1672	20	14	)	)	PUNCT
ap-1672	20	15	at	at	ADP
ap-1672	20	16	the	the	DET
ap-1672	20	17	matrix	matrix	NOUN
ap-1672	20	18	-	-	PUNCT
ap-1672	20	19	aggregate	aggregate	NOUN
ap-1672	20	20	interface	interface	NOUN
ap-1672	20	21	,	,	PUNCT
ap-1672	20	22	which	which	PRON
ap-1672	20	23	is	be	AUX
ap-1672	20	24	known	know	VERB
ap-1672	20	25	to	to	PART
ap-1672	20	26	possess	possess	VERB
ap-1672	20	27	higher	high	ADJ
ap-1672	20	28	porosity	porosity	NOUN
ap-1672	20	29	and	and	CCONJ
ap-1672	20	30	thus	thus	ADV
ap-1672	20	31	lower	low	ADJ
ap-1672	20	32	stiffness	stiffness	NOUN
ap-1672	20	33	in	in	ADP
ap-1672	20	34	cement	cement	NOUN
ap-1672	20	35	-	-	PUNCT
ap-1672	20	36	based	base	VERB
ap-1672	20	37	mortars	mortar	NOUN
ap-1672	20	38	,	,	PUNCT
ap-1672	20	39	e.g.	e.g.	ADV
ap-1672	20	40	[	[	X
ap-1672	20	41	24	24	NUM
ap-1672	20	42	,	,	PUNCT
ap-1672	20	43	28	28	NUM
ap-1672	20	44	,	,	PUNCT
ap-1672	20	45	36	36	NUM
ap-1672	20	46	]	]	PUNCT
ap-1672	20	47	.	.	PUNCT
ap-1672	21	1	the	the	DET
ap-1672	21	2	purpose	purpose	NOUN
ap-1672	21	3	of	of	ADP
ap-1672	21	4	this	this	DET
ap-1672	21	5	work	work	NOUN
ap-1672	21	6	is	be	AUX
ap-1672	21	7	to	to	PART
ap-1672	21	8	interpret	interpret	VERB
ap-1672	21	9	these	these	DET
ap-1672	21	10	experimental	experimental	ADJ
ap-1672	21	11	findings	finding	NOUN
ap-1672	21	12	by	by	ADP
ap-1672	21	13	a	a	DET
ap-1672	21	14	micromechanical	micromechanical	ADJ
ap-1672	21	15	model	model	NOUN
ap-1672	21	16	based	base	VERB
ap-1672	21	17	on	on	ADP
ap-1672	21	18	the	the	DET
ap-1672	21	19	mori	mori	NOUN
ap-1672	21	20	-	-	PUNCT
ap-1672	21	21	tanaka	tanaka	PROPN
ap-1672	21	22	method	method	NOUN
ap-1672	21	23	[	[	X
ap-1672	21	24	19	19	NUM
ap-1672	21	25	]	]	PUNCT
ap-1672	21	26	,	,	PUNCT
ap-1672	21	27	motivated	motivate	VERB
ap-1672	21	28	by	by	ADP
ap-1672	21	29	its	its	PRON
ap-1672	21	30	recent	recent	ADJ
ap-1672	21	31	applications	application	NOUN
ap-1672	21	32	to	to	ADP
ap-1672	21	33	related	relate	VERB
ap-1672	21	34	material	material	NOUN
ap-1672	21	35	systems	system	NOUN
ap-1672	21	36	.	.	PUNCT
ap-1672	22	1	these	these	PRON
ap-1672	22	2	include	include	VERB
ap-1672	22	3	estimates	estimate	NOUN
ap-1672	22	4	of	of	ADP
ap-1672	22	5	the	the	DET
ap-1672	22	6	effective	effective	ADJ
ap-1672	22	7	thermal	thermal	ADJ
ap-1672	22	8	conductivity	conductivity	NOUN
ap-1672	22	9	of	of	ADP
ap-1672	22	10	rubber	rubber	NOUN
ap-1672	22	11	-	-	PUNCT
ap-1672	22	12	reinforced	reinforce	VERB
ap-1672	22	13	cement	cement	NOUN
ap-1672	22	14	composites	composite	NOUN
ap-1672	22	15	[	[	X
ap-1672	22	16	31	31	NUM
ap-1672	22	17	]	]	PUNCT
ap-1672	22	18	,	,	PUNCT
ap-1672	22	19	elasticity	elasticity	NOUN
ap-1672	22	20	predictions	prediction	NOUN
ap-1672	22	21	for	for	ADP
ap-1672	22	22	early	early	ADJ
ap-1672	22	23	-	-	PUNCT
ap-1672	22	24	age	age	NOUN
ap-1672	22	25	cement	cement	NOUN
ap-1672	22	26	[	[	X
ap-1672	22	27	5	5	NUM
ap-1672	22	28	]	]	PUNCT
ap-1672	22	29	or	or	CCONJ
ap-1672	22	30	alkali	alkali	VERB
ap-1672	22	31	-	-	PUNCT
ap-1672	22	32	activated	activated	ADJ
ap-1672	22	33	[	[	X
ap-1672	22	34	35	35	NUM
ap-1672	22	35	]	]	PUNCT
ap-1672	22	36	pastes	paste	NOUN
ap-1672	22	37	,	,	PUNCT
ap-1672	22	38	upscaling	upscale	VERB
ap-1672	22	39	the	the	DET
ap-1672	22	40	compressive	compressive	ADJ
ap-1672	22	41	strength	strength	NOUN
ap-1672	22	42	of	of	ADP
ap-1672	22	43	cement	cement	NOUN
ap-1672	22	44	mortars	mortar	NOUN
ap-1672	22	45	[	[	X
ap-1672	22	46	26	26	NUM
ap-1672	22	47	]	]	PUNCT
ap-1672	22	48	,	,	PUNCT
ap-1672	22	49	and	and	CCONJ
ap-1672	22	50	multi	multi	ADJ
ap-1672	22	51	-	-	ADJ
ap-1672	22	52	scale	scale	ADJ
ap-1672	22	53	simulations	simulation	NOUN
ap-1672	22	54	of	of	ADP
ap-1672	22	55	three	three	NUM
ap-1672	22	56	-	-	PUNCT
ap-1672	22	57	point	point	NOUN
ap-1672	22	58	bending	bend	VERB
ap-1672	22	59	tests	test	NOUN
ap-1672	22	60	of	of	ADP
ap-1672	22	61	concrete	concrete	ADJ
ap-1672	22	62	specimens	specimen	NOUN
ap-1672	22	63	[	[	X
ap-1672	22	64	34	34	NUM
ap-1672	22	65	]	]	PUNCT
ap-1672	22	66	.	.	PUNCT
ap-1672	23	1	here	here	ADV
ap-1672	23	2	,	,	PUNCT
ap-1672	23	3	we	we	PRON
ap-1672	23	4	exploit	exploit	VERB
ap-1672	23	5	these	these	DET
ap-1672	23	6	developments	development	NOUN
ap-1672	23	7	to	to	PART
ap-1672	23	8	propose	propose	VERB
ap-1672	23	9	a	a	DET
ap-1672	23	10	simple	simple	ADJ
ap-1672	23	11	analytical	analytical	ADJ
ap-1672	23	12	model	model	NOUN
ap-1672	23	13	for	for	ADP
ap-1672	23	14	a	a	DET
ap-1672	23	15	stiffness	stiffness	NOUN
ap-1672	23	16	and	and	CCONJ
ap-1672	23	17	strength	strength	NOUN
ap-1672	23	18	estimation	estimation	NOUN
ap-1672	23	19	of	of	ADP
ap-1672	23	20	cocciopesto	cocciopesto	ADJ
ap-1672	23	21	mortars	mortar	NOUN
ap-1672	23	22	in	in	ADP
ap-1672	23	23	section	section	NOUN
ap-1672	23	24	2	2	NUM
ap-1672	23	25	.	.	PUNCT
ap-1672	24	1	in	in	ADP
ap-1672	24	2	particular	particular	ADJ
ap-1672	24	3	,	,	PUNCT
ap-1672	24	4	the	the	DET
ap-1672	24	5	elasticity	elasticity	NOUN
ap-1672	24	6	predictions	prediction	NOUN
ap-1672	24	7	utilize	utilize	VERB
ap-1672	24	8	benveniste	benveniste	NOUN
ap-1672	24	9	’s	’s	PART
ap-1672	24	10	reformulation	reformulation	NOUN
ap-1672	25	1	[	[	X
ap-1672	25	2	4	4	NUM
ap-1672	25	3	]	]	PUNCT
ap-1672	25	4	of	of	ADP
ap-1672	25	5	the	the	DET
ap-1672	25	6	mori	mori	NOUN
ap-1672	25	7	-	-	PUNCT
ap-1672	25	8	tanaka	tanaka	PROPN
ap-1672	25	9	method	method	NOUN
ap-1672	25	10	[	[	X
ap-1672	25	11	19	19	NUM
ap-1672	25	12	]	]	PUNCT
ap-1672	25	13	,	,	PUNCT
ap-1672	25	14	whereas	whereas	SCONJ
ap-1672	25	15	the	the	DET
ap-1672	25	16	strength	strength	NOUN
ap-1672	25	17	predictions	prediction	NOUN
ap-1672	25	18	build	build	VERB
ap-1672	25	19	on	on	ADP
ap-1672	25	20	recent	recent	ADJ
ap-1672	25	21	results	result	NOUN
ap-1672	25	22	by	by	ADP
ap-1672	25	23	pichler	pichler	NOUN
ap-1672	25	24	and	and	CCONJ
ap-1672	25	25	hellmich	hellmich	X
ap-1672	25	26	[	[	X
ap-1672	25	27	26	26	NUM
ap-1672	25	28	]	]	PUNCT
ap-1672	25	29	,	,	PUNCT
ap-1672	25	30	who	who	PRON
ap-1672	25	31	demonstrated	demonstrate	VERB
ap-1672	25	32	that	that	SCONJ
ap-1672	25	33	compressive	compressive	ADJ
ap-1672	25	34	strength	strength	NOUN
ap-1672	25	35	is	be	AUX
ap-1672	25	36	closely	closely	ADV
ap-1672	25	37	related	relate	VERB
ap-1672	25	38	to	to	ADP
ap-1672	25	39	the	the	DET
ap-1672	25	40	quadratic	quadratic	ADJ
ap-1672	25	41	average	average	NOUN
ap-1672	25	42	of	of	ADP
ap-1672	25	43	the	the	DET
ap-1672	25	44	deviatoric	deviatoric	ADJ
ap-1672	25	45	stress	stress	NOUN
ap-1672	25	46	in	in	ADP
ap-1672	25	47	the	the	DET
ap-1672	25	48	weakest	weak	ADJ
ap-1672	25	49	phase	phase	NOUN
ap-1672	25	50	.	.	PUNCT
ap-1672	26	1	particular	particular	ADJ
ap-1672	26	2	attention	attention	NOUN
ap-1672	26	3	is	be	AUX
ap-1672	26	4	paid	pay	VERB
ap-1672	26	5	to	to	ADP
ap-1672	26	6	representation	representation	NOUN
ap-1672	26	7	of	of	ADP
ap-1672	26	8	the	the	DET
ap-1672	26	9	coatings	coating	NOUN
ap-1672	26	10	by	by	ADP
ap-1672	26	11	c	c	NOUN
ap-1672	26	12	-	-	PUNCT
ap-1672	26	13	s	s	NOUN
ap-1672	26	14	-	-	PUNCT
ap-1672	26	15	h	h	NOUN
ap-1672	26	16	gel	gel	NOUN
ap-1672	26	17	and	and	CCONJ
ap-1672	26	18	itz	itz	PROPN
ap-1672	26	19	,	,	PUNCT
ap-1672	26	20	which	which	PRON
ap-1672	26	21	renders	render	VERB
ap-1672	26	22	the	the	DET
ap-1672	26	23	predictions	prediction	NOUN
ap-1672	26	24	sensitive	sensitive	ADJ
ap-1672	26	25	to	to	ADP
ap-1672	26	26	the	the	DET
ap-1672	26	27	size	size	NOUN
ap-1672	26	28	of	of	ADP
ap-1672	26	29	the	the	DET
ap-1672	26	30	brick	brick	NOUN
ap-1672	26	31	particles	particle	NOUN
ap-1672	26	32	and	and	CCONJ
ap-1672	26	33	aggregates	aggregate	NOUN
ap-1672	26	34	.	.	PUNCT
ap-1672	27	1	in	in	ADP
ap-1672	27	2	section	section	NOUN
ap-1672	27	3	3	3	NUM
ap-1672	27	4	,	,	PUNCT
ap-1672	27	5	we	we	PRON
ap-1672	27	6	verify	verify	VERB
ap-1672	27	7	predictions	prediction	NOUN
ap-1672	27	8	of	of	ADP
ap-1672	27	9	the	the	DET
ap-1672	27	10	proposed	propose	VERB
ap-1672	27	11	scheme	scheme	NOUN
ap-1672	27	12	against	against	ADP
ap-1672	27	13	data	datum	NOUN
ap-1672	27	14	available	available	ADJ
ap-1672	27	15	in	in	ADP
ap-1672	27	16	the	the	DET
ap-1672	27	17	open	open	ADJ
ap-1672	27	18	literature	literature	NOUN
ap-1672	27	19	.	.	PUNCT
ap-1672	28	1	these	these	DET
ap-1672	28	2	finding	finding	NOUN
ap-1672	28	3	are	be	AUX
ap-1672	28	4	summarized	summarize	VERB
ap-1672	28	5	in	in	ADP
ap-1672	28	6	section	section	NOUN
ap-1672	28	7	4	4	NUM
ap-1672	28	8	,	,	PUNCT
ap-1672	28	9	mainly	mainly	ADV
ap-1672	28	10	as	as	ADP
ap-1672	28	11	a	a	DET
ap-1672	28	12	support	support	NOUN
ap-1672	28	13	for	for	ADP
ap-1672	28	14	29	29	NUM
ap-1672	28	15	acta	acta	PROPN
ap-1672	28	16	polytechnica	polytechnica	PROPN
ap-1672	28	17	vol	vol	NOUN
ap-1672	28	18	.	.	PROPN
ap-1672	29	1	52	52	NUM
ap-1672	29	2	no	no	NOUN
ap-1672	29	3	.	.	PUNCT
ap-1672	30	1	6/2012	6/2012	NUM
ap-1672	30	2	matrix	matrix	NOUN
ap-1672	30	3	(	(	PUNCT
ap-1672	30	4	0	0	NUM
ap-1672	30	5	)	)	PUNCT
ap-1672	30	6	brick	brick	NOUN
ap-1672	30	7	(	(	PUNCT
ap-1672	30	8	2	2	NUM
ap-1672	30	9	)	)	PUNCT
ap-1672	30	10	void	void	NOUN
ap-1672	30	11	(	(	PUNCT
ap-1672	30	12	1	1	NUM
ap-1672	30	13	)	)	PUNCT
ap-1672	30	14	sand	sand	NOUN
ap-1672	30	15	(	(	PUNCT
ap-1672	30	16	4	4	X
ap-1672	30	17	)	)	PUNCT
ap-1672	30	18	itz	itz	PROPN
ap-1672	30	19	(	(	PUNCT
ap-1672	30	20	5)c	5)c	PROPN
ap-1672	30	21	-	-	PUNCT
ap-1672	30	22	s	s	NOUN
ap-1672	30	23	-	-	PUNCT
ap-1672	30	24	h	h	NOUN
ap-1672	30	25	(	(	PUNCT
ap-1672	30	26	3	3	NUM
ap-1672	30	27	)	)	PUNCT
ap-1672	30	28	figure	figure	NOUN
ap-1672	30	29	1	1	NUM
ap-1672	30	30	:	:	PUNCT
ap-1672	30	31	scheme	scheme	NOUN
ap-1672	30	32	of	of	ADP
ap-1672	30	33	the	the	DET
ap-1672	30	34	micromechanics	micromechanic	NOUN
ap-1672	30	35	-	-	PUNCT
ap-1672	30	36	based	base	VERB
ap-1672	30	37	model	model	NOUN
ap-1672	30	38	.	.	PUNCT
ap-1672	31	1	the	the	DET
ap-1672	31	2	numbers	number	NOUN
ap-1672	31	3	in	in	ADP
ap-1672	31	4	parentheses	parenthesis	NOUN
ap-1672	31	5	refer	refer	VERB
ap-1672	31	6	to	to	ADP
ap-1672	31	7	the	the	DET
ap-1672	31	8	indexes	index	NOUN
ap-1672	31	9	of	of	ADP
ap-1672	31	10	the	the	DET
ap-1672	31	11	individual	individual	ADJ
ap-1672	31	12	phases	phase	NOUN
ap-1672	31	13	.	.	PUNCT
ap-1672	32	1	future	future	ADJ
ap-1672	32	2	validation	validation	NOUN
ap-1672	32	3	of	of	ADP
ap-1672	32	4	the	the	DET
ap-1672	32	5	model	model	NOUN
ap-1672	32	6	against	against	ADP
ap-1672	32	7	experimental	experimental	ADJ
ap-1672	32	8	results	result	NOUN
ap-1672	32	9	.	.	PUNCT
ap-1672	33	1	finally	finally	ADV
ap-1672	33	2	,	,	PUNCT
ap-1672	33	3	in	in	ADP
ap-1672	33	4	appendix	appendix	NOUN
ap-1672	33	5	a	a	PRON
ap-1672	33	6	we	we	PRON
ap-1672	33	7	gather	gather	VERB
ap-1672	33	8	technical	technical	ADJ
ap-1672	33	9	details	detail	NOUN
ap-1672	33	10	needed	need	VERB
ap-1672	33	11	to	to	PART
ap-1672	33	12	account	account	VERB
ap-1672	33	13	for	for	ADP
ap-1672	33	14	coated	coated	ADJ
ap-1672	33	15	inclusions	inclusion	NOUN
ap-1672	33	16	in	in	ADP
ap-1672	33	17	order	order	NOUN
ap-1672	33	18	to	to	PART
ap-1672	33	19	make	make	VERB
ap-1672	33	20	the	the	DET
ap-1672	33	21	paper	paper	NOUN
ap-1672	33	22	self	self	NOUN
ap-1672	33	23	-	-	PUNCT
ap-1672	33	24	contained	contain	VERB
ap-1672	33	25	.	.	PUNCT
ap-1672	34	1	in	in	ADP
ap-1672	34	2	what	what	PRON
ap-1672	34	3	follows	follow	VERB
ap-1672	34	4	,	,	PUNCT
ap-1672	34	5	the	the	DET
ap-1672	34	6	mandel	mandel	PROPN
ap-1672	34	7	representation	representation	PROPN
ap-1672	34	8	of	of	ADP
ap-1672	34	9	symmetric	symmetric	ADJ
ap-1672	34	10	tensorial	tensorial	ADJ
ap-1672	34	11	quantities	quantity	NOUN
ap-1672	34	12	is	be	AUX
ap-1672	34	13	systematically	systematically	ADV
ap-1672	34	14	employed	employ	VERB
ap-1672	34	15	,	,	PUNCT
ap-1672	34	16	e.g.	e.g.	ADV
ap-1672	34	17	[	[	X
ap-1672	34	18	18	18	NUM
ap-1672	34	19	,	,	PUNCT
ap-1672	34	20	p.	p.	NOUN
ap-1672	34	21	23	23	NUM
ap-1672	34	22	]	]	PUNCT
ap-1672	34	23	.	.	PUNCT
ap-1672	35	1	in	in	ADP
ap-1672	35	2	particular	particular	ADJ
ap-1672	35	3	,	,	PUNCT
ap-1672	35	4	italic	italic	ADJ
ap-1672	35	5	letters	letter	NOUN
ap-1672	35	6	,	,	PUNCT
ap-1672	35	7	e.g.	e.g.	ADV
ap-1672	35	8	a	a	PRON
ap-1672	35	9	or	or	CCONJ
ap-1672	35	10	a	a	PRON
ap-1672	35	11	,	,	PUNCT
ap-1672	35	12	refer	refer	VERB
ap-1672	35	13	to	to	ADP
ap-1672	35	14	scalar	scalar	ADJ
ap-1672	35	15	quantities	quantity	NOUN
ap-1672	35	16	,	,	PUNCT
ap-1672	35	17	and	and	CCONJ
ap-1672	35	18	boldface	boldface	NOUN
ap-1672	35	19	letters	letter	NOUN
ap-1672	35	20	,	,	PUNCT
ap-1672	35	21	e.g.	e.g.	ADV
ap-1672	35	22	a	a	PRON
ap-1672	35	23	or	or	CCONJ
ap-1672	35	24	a	a	PRON
ap-1672	35	25	,	,	PUNCT
ap-1672	35	26	denote	denote	NOUN
ap-1672	35	27	vectors	vector	NOUN
ap-1672	35	28	or	or	CCONJ
ap-1672	35	29	matrix	matrix	NOUN
ap-1672	35	30	representations	representation	NOUN
ap-1672	35	31	of	of	ADP
ap-1672	35	32	secondor	secondor	NOUN
ap-1672	35	33	fourth	fourth	ADJ
ap-1672	35	34	-	-	PUNCT
ap-1672	35	35	order	order	NOUN
ap-1672	35	36	tensors	tensor	NOUN
ap-1672	35	37	.	.	PUNCT
ap-1672	36	1	at	at	ADP
ap-1672	36	2	and	and	CCONJ
ap-1672	36	3	(	(	PUNCT
ap-1672	36	4	a)−1	a)−1	NOUN
ap-1672	36	5	standardly	standardly	ADV
ap-1672	36	6	denote	denote	VERB
ap-1672	36	7	the	the	DET
ap-1672	36	8	matrix	matrix	NOUN
ap-1672	36	9	transpose	transpose	NOUN
ap-1672	36	10	and	and	CCONJ
ap-1672	36	11	the	the	DET
ap-1672	36	12	inverse	inverse	NOUN
ap-1672	36	13	matrix	matrix	NOUN
ap-1672	36	14	.	.	PUNCT
ap-1672	37	1	other	other	ADJ
ap-1672	37	2	symbols	symbol	NOUN
ap-1672	37	3	and	and	CCONJ
ap-1672	37	4	abbreviations	abbreviation	NOUN
ap-1672	37	5	are	be	AUX
ap-1672	37	6	introduced	introduce	VERB
ap-1672	37	7	in	in	ADP
ap-1672	37	8	the	the	DET
ap-1672	37	9	text	text	NOUN
ap-1672	37	10	when	when	SCONJ
ap-1672	37	11	needed	need	VERB
ap-1672	37	12	.	.	PUNCT
ap-1672	38	1	2	2	NUM
ap-1672	38	2	model	model	NOUN
ap-1672	38	3	we	we	PRON
ap-1672	38	4	consider	consider	VERB
ap-1672	38	5	a	a	DET
ap-1672	38	6	composite	composite	ADJ
ap-1672	38	7	sample	sample	NOUN
ap-1672	38	8	occupying	occupy	VERB
ap-1672	38	9	domain	domain	NOUN
ap-1672	38	10	ω	ω	PROPN
ap-1672	38	11	,	,	PUNCT
ap-1672	38	12	composed	compose	VERB
ap-1672	38	13	of	of	ADP
ap-1672	38	14	n	n	DET
ap-1672	38	15	distinct	distinct	ADJ
ap-1672	38	16	phases	phase	NOUN
ap-1672	38	17	indexed	index	VERB
ap-1672	38	18	by	by	ADP
ap-1672	38	19	r.	r.	PROPN
ap-1672	38	20	the	the	DET
ap-1672	38	21	value	value	NOUN
ap-1672	38	22	r	r	NOUN
ap-1672	38	23	=	=	SYM
ap-1672	38	24	0	0	NUM
ap-1672	38	25	is	be	AUX
ap-1672	38	26	reserved	reserve	VERB
ap-1672	38	27	for	for	ADP
ap-1672	38	28	the	the	DET
ap-1672	38	29	matrix	matrix	NOUN
ap-1672	38	30	phase	phase	NOUN
ap-1672	38	31	and	and	CCONJ
ap-1672	38	32	r	r	NOUN
ap-1672	38	33	=	=	SYM
ap-1672	38	34	1	1	NUM
ap-1672	38	35	,	,	PUNCT
ap-1672	38	36	.	.	PUNCT
ap-1672	38	37	.	.	PUNCT
ap-1672	39	1	.	.	PUNCT
ap-1672	40	1	,	,	PUNCT
ap-1672	40	2	n	n	PRON
ap-1672	40	3	refer	refer	VERB
ap-1672	40	4	to	to	ADP
ap-1672	40	5	heterogeneities	heterogeneity	NOUN
ap-1672	40	6	having	have	VERB
ap-1672	40	7	the	the	DET
ap-1672	40	8	shape	shape	NOUN
ap-1672	40	9	of	of	ADP
ap-1672	40	10	a	a	DET
ap-1672	40	11	sphere	sphere	NOUN
ap-1672	40	12	or	or	CCONJ
ap-1672	40	13	spherical	spherical	ADJ
ap-1672	40	14	shell	shell	NOUN
ap-1672	40	15	,	,	PUNCT
ap-1672	40	16	see	see	VERB
ap-1672	40	17	fig	fig	NOUN
ap-1672	40	18	.	.	PUNCT
ap-1672	41	1	1	1	X
ap-1672	41	2	.	.	X
ap-1672	42	1	the	the	DET
ap-1672	42	2	volume	volume	NOUN
ap-1672	42	3	fraction	fraction	NOUN
ap-1672	42	4	of	of	ADP
ap-1672	42	5	the	the	DET
ap-1672	42	6	r	r	NOUN
ap-1672	42	7	-	-	PUNCT
ap-1672	42	8	th	th	VERB
ap-1672	42	9	phase	phase	NOUN
ap-1672	42	10	is	be	AUX
ap-1672	42	11	defined	define	VERB
ap-1672	42	12	as	as	ADP
ap-1672	42	13	c(r	c(r	NOUN
ap-1672	42	14	)	)	PUNCT
ap-1672	43	1	=	=	SYM
ap-1672	43	2	|ω(r)|/|ω|	|ω(r)|/|ω|	PROPN
ap-1672	43	3	,	,	PUNCT
ap-1672	43	4	where	where	SCONJ
ap-1672	43	5	|ω(r)|	|ω(r)|	ADJ
ap-1672	43	6	denotes	denote	VERB
ap-1672	43	7	the	the	DET
ap-1672	43	8	volume	volume	NOUN
ap-1672	43	9	occupied	occupy	VERB
ap-1672	43	10	by	by	ADP
ap-1672	43	11	the	the	DET
ap-1672	43	12	r	r	NOUN
ap-1672	43	13	-	-	PUNCT
ap-1672	43	14	th	th	VERB
ap-1672	43	15	phase	phase	NOUN
ap-1672	43	16	,	,	PUNCT
ap-1672	43	17	and	and	CCONJ
ap-1672	43	18	the	the	DET
ap-1672	43	19	geometry	geometry	NOUN
ap-1672	43	20	of	of	ADP
ap-1672	43	21	the	the	DET
ap-1672	43	22	coated	coated	ADJ
ap-1672	43	23	particles	particle	NOUN
ap-1672	43	24	is	be	AUX
ap-1672	43	25	specified	specify	VERB
ap-1672	43	26	by	by	ADP
ap-1672	43	27	their	their	PRON
ap-1672	43	28	radii	radius	NOUN
ap-1672	43	29	r(r	r(r	PROPN
ap-1672	43	30	)	)	PUNCT
ap-1672	43	31	for	for	ADP
ap-1672	43	32	r	r	NOUN
ap-1672	43	33	=	=	SYM
ap-1672	43	34	2	2	NUM
ap-1672	43	35	,	,	PUNCT
ap-1672	43	36	.	.	PUNCT
ap-1672	43	37	.	.	PUNCT
ap-1672	43	38	.	.	PUNCT
ap-1672	44	1	,	,	PUNCT
ap-1672	44	2	5	5	NUM
ap-1672	44	3	,	,	PUNCT
ap-1672	44	4	fig	fig	NOUN
ap-1672	44	5	.	.	PUNCT
ap-1672	45	1	2	2	NUM
ap-1672	45	2	.	.	X
ap-1672	45	3	several	several	ADJ
ap-1672	45	4	comments	comment	NOUN
ap-1672	45	5	are	be	AUX
ap-1672	45	6	in	in	ADP
ap-1672	45	7	now	now	ADV
ap-1672	45	8	order	order	NOUN
ap-1672	45	9	concerning	concern	VERB
ap-1672	45	10	simplifications	simplification	NOUN
ap-1672	45	11	adopted	adopt	VERB
ap-1672	45	12	in	in	ADP
ap-1672	45	13	the	the	DET
ap-1672	45	14	model	model	NOUN
ap-1672	45	15	.	.	PUNCT
ap-1672	46	1	first	first	ADV
ap-1672	46	2	,	,	PUNCT
ap-1672	46	3	brick	brick	NOUN
ap-1672	46	4	particles	particle	NOUN
ap-1672	46	5	and	and	CCONJ
ap-1672	46	6	voids	voids	NOUN
ap-1672	46	7	are	be	AUX
ap-1672	46	8	considered	consider	VERB
ap-1672	46	9	spherical	spherical	ADJ
ap-1672	46	10	in	in	ADP
ap-1672	46	11	shape	shape	NOUN
ap-1672	46	12	,	,	PUNCT
ap-1672	46	13	instead	instead	ADV
ap-1672	46	14	of	of	ADP
ap-1672	46	15	more	more	ADV
ap-1672	46	16	realistic	realistic	ADJ
ap-1672	46	17	ellipsoids	ellipsoid	NOUN
ap-1672	46	18	,	,	PUNCT
ap-1672	46	19	as	as	ADP
ap-1672	46	20	in	in	ADP
ap-1672	46	21	e.g.	e.g.	ADV
ap-1672	46	22	[	[	X
ap-1672	46	23	27	27	NUM
ap-1672	46	24	,	,	PUNCT
ap-1672	46	25	26	26	NUM
ap-1672	46	26	]	]	PUNCT
ap-1672	46	27	.	.	PUNCT
ap-1672	47	1	this	this	DET
ap-1672	47	2	step	step	NOUN
ap-1672	47	3	is	be	AUX
ap-1672	47	4	known	know	VERB
ap-1672	47	5	to	to	PART
ap-1672	47	6	introduce	introduce	VERB
ap-1672	47	7	only	only	ADJ
ap-1672	47	8	minor	minor	ADJ
ap-1672	47	9	errors	error	NOUN
ap-1672	47	10	in	in	ADP
ap-1672	47	11	the	the	DET
ap-1672	47	12	prediction	prediction	NOUN
ap-1672	47	13	of	of	ADP
ap-1672	47	14	overall	overall	ADJ
ap-1672	47	15	transport	transport	NOUN
ap-1672	47	16	[	[	X
ap-1672	47	17	31	31	NUM
ap-1672	47	18	]	]	PUNCT
ap-1672	47	19	or	or	CCONJ
ap-1672	47	20	elastic	elastic	ADJ
ap-1672	47	21	[	[	X
ap-1672	47	22	27	27	NUM
ap-1672	47	23	]	]	PUNCT
ap-1672	47	24	properties	property	NOUN
ap-1672	47	25	.	.	PUNCT
ap-1672	48	1	as	as	SCONJ
ap-1672	48	2	demonstrated	demonstrate	VERB
ap-1672	48	3	by	by	ADP
ap-1672	48	4	pichler	pichler	PROPN
ap-1672	48	5	et	et	PROPN
ap-1672	48	6	al	al	PROPN
ap-1672	48	7	.	.	PUNCT
ap-1672	49	1	[	[	X
ap-1672	49	2	27	27	NUM
ap-1672	49	3	]	]	PUNCT
ap-1672	49	4	,	,	PUNCT
ap-1672	49	5	the	the	DET
ap-1672	49	6	up	up	ADV
ap-1672	49	7	-	-	PUNCT
ap-1672	49	8	scaled	scale	VERB
ap-1672	49	9	strength	strength	NOUN
ap-1672	49	10	is	be	AUX
ap-1672	49	11	more	more	ADV
ap-1672	49	12	sensitive	sensitive	ADJ
ap-1672	49	13	to	to	ADP
ap-1672	49	14	the	the	DET
ap-1672	49	15	shape	shape	NOUN
ap-1672	49	16	of	of	ADP
ap-1672	49	17	inhomogeneities	inhomogeneity	NOUN
ap-1672	49	18	,	,	PUNCT
ap-1672	49	19	but	but	CCONJ
ap-1672	49	20	the	the	DET
ap-1672	49	21	model	model	NOUN
ap-1672	49	22	is	be	AUX
ap-1672	49	23	still	still	ADV
ap-1672	49	24	capable	capable	ADJ
ap-1672	49	25	of	of	ADP
ap-1672	49	26	predicting	predict	VERB
ap-1672	49	27	the	the	DET
ap-1672	49	28	correct	correct	ADJ
ap-1672	49	29	trends	trend	NOUN
ap-1672	49	30	.	.	PUNCT
ap-1672	50	1	second	second	ADV
ap-1672	50	2	,	,	PUNCT
ap-1672	50	3	the	the	DET
ap-1672	50	4	itz	itz	PROPN
ap-1672	50	5	is	be	AUX
ap-1672	50	6	taken	take	VERB
ap-1672	50	7	as	as	ADP
ap-1672	50	8	homogeneous	homogeneous	ADJ
ap-1672	50	9	and	and	CCONJ
ap-1672	50	10	is	be	AUX
ap-1672	50	11	not	not	PART
ap-1672	50	12	resolved	resolve	VERB
ap-1672	50	13	down	down	ADP
ap-1672	50	14	to	to	ADP
ap-1672	50	15	the	the	DET
ap-1672	50	16	level	level	NOUN
ap-1672	50	17	of	of	ADP
ap-1672	50	18	microheterogeneities	microheterogeneitie	NOUN
ap-1672	50	19	.	.	PUNCT
ap-1672	51	1	this	this	PRON
ap-1672	51	2	arises	arise	VERB
ap-1672	51	3	as	as	ADP
ap-1672	51	4	a	a	DET
ap-1672	51	5	result	result	NOUN
ap-1672	51	6	of	of	ADP
ap-1672	51	7	the	the	DET
ap-1672	51	8	fact	fact	NOUN
ap-1672	51	9	that	that	SCONJ
ap-1672	51	10	,	,	PUNCT
ap-1672	51	11	in	in	ADP
ap-1672	51	12	contrast	contrast	NOUN
ap-1672	51	13	to	to	ADP
ap-1672	51	14	cement	cement	NOUN
ap-1672	51	15	-	-	PUNCT
ap-1672	51	16	based	base	VERB
ap-1672	51	17	materials	material	NOUN
ap-1672	51	18	[	[	X
ap-1672	51	19	24	24	NUM
ap-1672	51	20	,	,	PUNCT
ap-1672	51	21	28	28	NUM
ap-1672	51	22	]	]	PUNCT
ap-1672	51	23	,	,	PUNCT
ap-1672	51	24	we	we	PRON
ap-1672	51	25	are	be	AUX
ap-1672	51	26	currently	currently	ADV
ap-1672	51	27	not	not	PART
ap-1672	51	28	aware	aware	ADJ
ap-1672	51	29	of	of	ADP
ap-1672	51	30	any	any	DET
ap-1672	51	31	work	work	NOUN
ap-1672	51	32	studying	study	VERB
ap-1672	51	33	the	the	DET
ap-1672	51	34	structure	structure	NOUN
ap-1672	51	35	of	of	ADP
ap-1672	51	36	itz	itz	PROPN
ap-1672	51	37	in	in	ADP
ap-1672	51	38	lime	lime	NOUN
ap-1672	51	39	-	-	PUNCT
ap-1672	51	40	based	base	VERB
ap-1672	51	41	mortars	mortar	NOUN
ap-1672	51	42	,	,	PUNCT
ap-1672	51	43	thus	thus	ADV
ap-1672	51	44	input	input	VERB
ap-1672	51	45	data	datum	NOUN
ap-1672	51	46	for	for	ADP
ap-1672	51	47	a	a	DET
ap-1672	51	48	more	more	ADV
ap-1672	51	49	detailed	detailed	ADJ
ap-1672	51	50	representation	representation	NOUN
ap-1672	51	51	is	be	AUX
ap-1672	51	52	not	not	PART
ap-1672	51	53	available	available	ADJ
ap-1672	51	54	.	.	PUNCT
ap-1672	52	1	third	third	ADJ
ap-1672	52	2	,	,	PUNCT
ap-1672	52	3	only	only	ADV
ap-1672	52	4	monodisperse	monodisperse	NOUN
ap-1672	52	5	distribution	distribution	NOUN
ap-1672	52	6	of	of	ADP
ap-1672	52	7	particles	particle	NOUN
ap-1672	52	8	in	in	ADP
ap-1672	52	9	assumed	assume	VERB
ap-1672	52	10	.	.	PUNCT
ap-1672	53	1	polydispersivity	polydispersivity	NOUN
ap-1672	53	2	can	can	AUX
ap-1672	53	3	be	be	AUX
ap-1672	53	4	incorporated	incorporate	VERB
ap-1672	53	5	by	by	ADP
ap-1672	53	6	simple	simple	ADJ
ap-1672	53	7	averaging	averaging	NOUN
ap-1672	53	8	arguments	argument	NOUN
ap-1672	53	9	and	and	CCONJ
ap-1672	53	10	results	result	NOUN
ap-1672	53	11	only	only	ADV
ap-1672	53	12	in	in	ADP
ap-1672	53	13	a	a	DET
ap-1672	53	14	moderate	moderate	ADJ
ap-1672	53	15	increase	increase	NOUN
ap-1672	53	16	in	in	ADP
ap-1672	53	17	accuracy	accuracy	NOUN
ap-1672	53	18	[	[	X
ap-1672	53	19	31	31	NUM
ap-1672	53	20	,	,	PUNCT
ap-1672	53	21	and	and	CCONJ
ap-1672	53	22	references	reference	NOUN
ap-1672	53	23	therein	therein	ADV
ap-1672	53	24	]	]	PUNCT
ap-1672	53	25	.	.	PUNCT
ap-1672	54	1	the	the	DET
ap-1672	54	2	elastic	elastic	ADJ
ap-1672	54	3	properties	property	NOUN
ap-1672	54	4	of	of	ADP
ap-1672	54	5	the	the	DET
ap-1672	54	6	individual	individual	ADJ
ap-1672	54	7	phases	phase	NOUN
ap-1672	54	8	are	be	AUX
ap-1672	54	9	specified	specify	VERB
ap-1672	54	10	by	by	ADP
ap-1672	54	11	the	the	DET
ap-1672	54	12	material	material	ADJ
ap-1672	54	13	stiffness	stiffness	NOUN
ap-1672	54	14	matrix	matrix	NOUN
ap-1672	54	15	l(r	l(r	PROPN
ap-1672	54	16	)	)	PUNCT
ap-1672	54	17	.	.	PUNCT
ap-1672	55	1	as	as	SCONJ
ap-1672	55	2	each	each	DET
ap-1672	55	3	phase	phase	NOUN
ap-1672	55	4	is	be	AUX
ap-1672	55	5	assumed	assume	VERB
ap-1672	55	6	to	to	PART
ap-1672	55	7	be	be	AUX
ap-1672	55	8	homogeneous	homogeneous	ADJ
ap-1672	55	9	and	and	CCONJ
ap-1672	55	10	isotropic	isotropic	NOUN
ap-1672	55	11	,	,	PUNCT
ap-1672	55	12	we	we	PRON
ap-1672	55	13	have	have	VERB
ap-1672	55	14	l(r	l(r	PROPN
ap-1672	55	15	)	)	PUNCT
ap-1672	56	1	=	=	SYM
ap-1672	57	1	3k(r)iv	3k(r)iv	NUM
ap-1672	58	1	+	+	CCONJ
ap-1672	58	2	2g(r)id	2g(r)id	NOUN
ap-1672	58	3	for	for	ADP
ap-1672	58	4	r	r	NOUN
ap-1672	58	5	=	=	SYM
ap-1672	58	6	0	0	NUM
ap-1672	58	7	,	,	PUNCT
ap-1672	58	8	.	.	PUNCT
ap-1672	58	9	.	.	PUNCT
ap-1672	59	1	.	.	PUNCT
ap-1672	60	1	,	,	PUNCT
ap-1672	60	2	n	n	CCONJ
ap-1672	60	3	,	,	PUNCT
ap-1672	60	4	(	(	PUNCT
ap-1672	60	5	1	1	X
ap-1672	60	6	)	)	PUNCT
ap-1672	60	7	where	where	SCONJ
ap-1672	60	8	k(r	k(r	NOUN
ap-1672	60	9	)	)	PUNCT
ap-1672	60	10	and	and	CCONJ
ap-1672	60	11	g(r	g(r	PROPN
ap-1672	60	12	)	)	PUNCT
ap-1672	60	13	are	be	AUX
ap-1672	60	14	the	the	DET
ap-1672	60	15	bulk	bulk	ADJ
ap-1672	60	16	and	and	CCONJ
ap-1672	60	17	shear	shear	NOUN
ap-1672	60	18	moduli	modulus	NOUN
ap-1672	60	19	of	of	ADP
ap-1672	60	20	the	the	DET
ap-1672	60	21	r	r	NOUN
ap-1672	60	22	-	-	PUNCT
ap-1672	60	23	th	th	VERB
ap-1672	60	24	phase	phase	NOUN
ap-1672	60	25	,	,	PUNCT
ap-1672	60	26	and	and	CCONJ
ap-1672	60	27	iv	iv	X
ap-1672	60	28	and	and	CCONJ
ap-1672	60	29	i	i	PROPN
ap-1672	60	30	d	d	PROPN
ap-1672	60	31	denote	denote	VERB
ap-1672	60	32	the	the	DET
ap-1672	60	33	orthogonal	orthogonal	ADJ
ap-1672	60	34	projections	projection	NOUN
ap-1672	60	35	to	to	ADP
ap-1672	60	36	the	the	DET
ap-1672	60	37	volumetric	volumetric	NOUN
ap-1672	60	38	and	and	CCONJ
ap-1672	60	39	deviatoric	deviatoric	ADJ
ap-1672	60	40	components	component	NOUN
ap-1672	60	41	,	,	PUNCT
ap-1672	61	1	e.g.	e.g.	ADV
ap-1672	61	2	[	[	X
ap-1672	61	3	13	13	NUM
ap-1672	61	4	]	]	PUNCT
ap-1672	61	5	,	,	PUNCT
ap-1672	61	6	so	so	SCONJ
ap-1672	61	7	that	that	SCONJ
ap-1672	61	8	ε(x	ε(x	VERB
ap-1672	61	9	)	)	PUNCT
ap-1672	61	10	=	=	SYM
ap-1672	61	11	(	(	PUNCT
ap-1672	61	12	iv	iv	X
ap-1672	61	13	+	+	CCONJ
ap-1672	61	14	id)ε(x	id)ε(x	NOUN
ap-1672	61	15	)	)	PUNCT
ap-1672	61	16	=	=	SYM
ap-1672	61	17	εv(x)1	εv(x)1	PROPN
ap-1672	61	18	+	+	CCONJ
ap-1672	61	19	εd(x	εd(x	NOUN
ap-1672	61	20	)	)	PUNCT
ap-1672	61	21	,	,	PUNCT
ap-1672	61	22	(	(	PUNCT
ap-1672	61	23	2a	2a	NUM
ap-1672	61	24	)	)	PUNCT
ap-1672	61	25	σ(x	σ(x	NOUN
ap-1672	61	26	)	)	PUNCT
ap-1672	61	27	=	=	SYM
ap-1672	61	28	(	(	PUNCT
ap-1672	61	29	iv	iv	X
ap-1672	61	30	+	+	CCONJ
ap-1672	61	31	id)σ(x	id)σ(x	X
ap-1672	61	32	)	)	PUNCT
ap-1672	62	1	=	=	SYM
ap-1672	62	2	σv(x)1	σv(x)1	NOUN
ap-1672	62	3	+	+	CCONJ
ap-1672	62	4	σd(x	σd(x	ADJ
ap-1672	62	5	)	)	PUNCT
ap-1672	62	6	,	,	PUNCT
ap-1672	62	7	(	(	PUNCT
ap-1672	62	8	2b	2b	NOUN
ap-1672	62	9	)	)	PUNCT
ap-1672	62	10	for	for	ADP
ap-1672	62	11	x	x	PROPN
ap-1672	62	12	∈	∈	PROPN
ap-1672	62	13	ω	ω	PROPN
ap-1672	62	14	.	.	PUNCT
ap-1672	63	1	in	in	ADP
ap-1672	63	2	eq	eq	ADP
ap-1672	63	3	.	.	PUNCT
ap-1672	64	1	(	(	PUNCT
ap-1672	64	2	2	2	NUM
ap-1672	64	3	)	)	PUNCT
ap-1672	64	4	,	,	PUNCT
ap-1672	64	5	ε	ε	PROPN
ap-1672	64	6	and	and	CCONJ
ap-1672	64	7	σ	σ	PROPN
ap-1672	64	8	refer	refer	VERB
ap-1672	64	9	to	to	ADP
ap-1672	64	10	local	local	ADJ
ap-1672	64	11	stresses	stress	NOUN
ap-1672	64	12	and	and	CCONJ
ap-1672	64	13	strains	strain	NOUN
ap-1672	64	14	,	,	PUNCT
ap-1672	64	15	εv	εv	NOUN
ap-1672	64	16	and	and	CCONJ
ap-1672	64	17	εd	εd	NOUN
ap-1672	64	18	are	be	AUX
ap-1672	64	19	the	the	DET
ap-1672	64	20	volumetric	volumetric	NOUN
ap-1672	64	21	and	and	CCONJ
ap-1672	64	22	deviatoric	deviatoric	ADJ
ap-1672	64	23	strain	strain	NOUN
ap-1672	64	24	components	component	NOUN
ap-1672	64	25	,	,	PUNCT
ap-1672	64	26	σv	σv	INTJ
ap-1672	64	27	and	and	CCONJ
ap-1672	64	28	σd	σd	PRON
ap-1672	64	29	refer	refer	VERB
ap-1672	64	30	to	to	ADP
ap-1672	64	31	the	the	DET
ap-1672	64	32	stress	stress	NOUN
ap-1672	64	33	components	component	NOUN
ap-1672	64	34	,	,	PUNCT
ap-1672	64	35	and	and	CCONJ
ap-1672	64	36	1	1	NUM
ap-1672	64	37	is	be	AUX
ap-1672	64	38	the	the	DET
ap-1672	64	39	second	second	ADJ
ap-1672	64	40	-	-	PUNCT
ap-1672	64	41	order	order	NOUN
ap-1672	64	42	unit	unit	NOUN
ap-1672	64	43	tensor	tensor	NOUN
ap-1672	64	44	(	(	PUNCT
ap-1672	64	45	in	in	ADP
ap-1672	64	46	the	the	DET
ap-1672	64	47	matrix	matrix	NOUN
ap-1672	64	48	representation	representation	NOUN
ap-1672	64	49	)	)	PUNCT
ap-1672	64	50	.	.	PUNCT
ap-1672	65	1	the	the	DET
ap-1672	65	2	development	development	NOUN
ap-1672	65	3	of	of	ADP
ap-1672	65	4	the	the	DET
ap-1672	65	5	model	model	NOUN
ap-1672	65	6	follows	follow	VERB
ap-1672	65	7	the	the	DET
ap-1672	65	8	standard	standard	ADJ
ap-1672	65	9	routine	routine	NOUN
ap-1672	65	10	of	of	ADP
ap-1672	65	11	the	the	DET
ap-1672	65	12	continuum	continuum	ADJ
ap-1672	65	13	micromechanics	micromechanic	NOUN
ap-1672	65	14	,	,	PUNCT
ap-1672	66	1	e.g.	e.g.	ADV
ap-1672	66	2	[	[	X
ap-1672	66	3	37	37	NUM
ap-1672	66	4	]	]	PUNCT
ap-1672	66	5	.	.	PUNCT
ap-1672	67	1	the	the	DET
ap-1672	67	2	sample	sample	NOUN
ap-1672	67	3	ω	ω	PROPN
ap-1672	67	4	is	be	AUX
ap-1672	67	5	subjected	subject	VERB
ap-1672	67	6	to	to	ADP
ap-1672	67	7	the	the	DET
ap-1672	67	8	overall	overall	ADJ
ap-1672	67	9	strain	strain	NOUN
ap-1672	67	10	loading	load	VERB
ap-1672	67	11	e.	e.	PROPN
ap-1672	67	12	neglecting	neglect	VERB
ap-1672	67	13	the	the	DET
ap-1672	67	14	interaction	interaction	NOUN
ap-1672	67	15	among	among	ADP
ap-1672	67	16	the	the	DET
ap-1672	67	17	phases	phase	NOUN
ap-1672	67	18	,	,	PUNCT
ap-1672	67	19	the	the	DET
ap-1672	67	20	mean	mean	NOUN
ap-1672	67	21	strains	strain	VERB
ap-1672	67	22	inside	inside	ADP
ap-1672	67	23	the	the	DET
ap-1672	67	24	heterogeneities	heterogeneity	NOUN
ap-1672	67	25	are	be	AUX
ap-1672	67	26	obtained	obtain	VERB
ap-1672	67	27	as	as	ADP
ap-1672	67	28	e(r	e(r	NOUN
ap-1672	67	29	)	)	PUNCT
ap-1672	67	30	=	=	SYM
ap-1672	67	31	a	a	DET
ap-1672	67	32	(	(	PUNCT
ap-1672	67	33	r	r	NOUN
ap-1672	67	34	)	)	PUNCT
ap-1672	67	35	dile	dile	NOUN
ap-1672	67	36	for	for	ADP
ap-1672	67	37	r	r	NOUN
ap-1672	67	38	=	=	SYM
ap-1672	67	39	1	1	NUM
ap-1672	67	40	,	,	PUNCT
ap-1672	67	41	.	.	PUNCT
ap-1672	67	42	.	.	PUNCT
ap-1672	68	1	.	.	PUNCT
ap-1672	69	1	,	,	PUNCT
ap-1672	69	2	n	n	CCONJ
ap-1672	69	3	,	,	PUNCT
ap-1672	69	4	wherea(r	wherea(r	NOUN
ap-1672	69	5	)	)	PUNCT
ap-1672	69	6	dil	dil	NOUN
ap-1672	69	7	is	be	AUX
ap-1672	69	8	the	the	DET
ap-1672	69	9	dilute	dilute	NOUN
ap-1672	69	10	concentration	concentration	NOUN
ap-1672	69	11	factor	factor	NOUN
ap-1672	69	12	of	of	ADP
ap-1672	69	13	the	the	DET
ap-1672	69	14	r	r	NOUN
ap-1672	69	15	-	-	PUNCT
ap-1672	69	16	th	th	VERB
ap-1672	69	17	phase	phase	NOUN
ap-1672	69	18	,	,	PUNCT
ap-1672	69	19	see	see	VERB
ap-1672	69	20	section	section	NOUN
ap-1672	69	21	2.1	2.1	NUM
ap-1672	69	22	.	.	PUNCT
ap-1672	70	1	in	in	ADP
ap-1672	70	2	section	section	NOUN
ap-1672	70	3	2.2	2.2	NUM
ap-1672	70	4	,	,	PUNCT
ap-1672	70	5	after	after	ADP
ap-1672	70	6	accounting	account	VERB
ap-1672	70	7	for	for	ADP
ap-1672	70	8	the	the	DET
ap-1672	70	9	phase	phase	NOUN
ap-1672	70	10	interaction	interaction	NOUN
ap-1672	70	11	,	,	PUNCT
ap-1672	70	12	these	these	PRON
ap-1672	70	13	are	be	AUX
ap-1672	70	14	combined	combine	VERB
ap-1672	70	15	to	to	ADP
ap-1672	70	16	the	the	DET
ap-1672	70	17	full	full	ADJ
ap-1672	70	18	concentration	concentration	NOUN
ap-1672	70	19	factors	factor	NOUN
ap-1672	70	20	satisfying	satisfy	VERB
ap-1672	70	21	e(r	e(r	NOUN
ap-1672	70	22	)	)	PUNCT
ap-1672	71	1	=	=	SYM
ap-1672	71	2	a(r)e	a(r)e	PROPN
ap-1672	71	3	for	for	ADP
ap-1672	71	4	r	r	NOUN
ap-1672	71	5	=	=	SYM
ap-1672	71	6	0	0	NUM
ap-1672	71	7	,	,	PUNCT
ap-1672	71	8	.	.	PUNCT
ap-1672	71	9	.	.	PUNCT
ap-1672	71	10	.	.	PUNCT
ap-1672	71	11	,	,	PUNCT
ap-1672	71	12	n	n	CCONJ
ap-1672	71	13	,	,	PUNCT
ap-1672	71	14	utilized	utilize	VERB
ap-1672	71	15	next	next	ADV
ap-1672	71	16	to	to	PART
ap-1672	71	17	estimate	estimate	VERB
ap-1672	71	18	the	the	DET
ap-1672	71	19	overall	overall	ADJ
ap-1672	71	20	stiffness	stiffness	NOUN
ap-1672	71	21	of	of	ADP
ap-1672	71	22	the	the	DET
ap-1672	71	23	composite	composite	ADJ
ap-1672	71	24	material	material	NOUN
ap-1672	71	25	,	,	PUNCT
ap-1672	71	26	leff	leff	PROPN
ap-1672	71	27	.	.	PUNCT
ap-1672	72	1	moreover	moreover	ADV
ap-1672	72	2	,	,	PUNCT
ap-1672	72	3	as	as	SCONJ
ap-1672	72	4	outlined	outline	VERB
ap-1672	72	5	in	in	ADP
ap-1672	72	6	section	section	NOUN
ap-1672	72	7	2.3	2.3	NUM
ap-1672	72	8	,	,	PUNCT
ap-1672	72	9	the	the	DET
ap-1672	72	10	expression	expression	NOUN
ap-1672	72	11	for	for	ADP
ap-1672	72	12	the	the	DET
ap-1672	72	13	overall	overall	ADJ
ap-1672	72	14	stiffness	stiffness	NOUN
ap-1672	72	15	also	also	ADV
ap-1672	72	16	encodes	encode	VERB
ap-1672	72	17	the	the	DET
ap-1672	72	18	mean	mean	ADJ
ap-1672	72	19	value	value	NOUN
ap-1672	72	20	of	of	ADP
ap-1672	72	21	the	the	DET
ap-1672	72	22	quadratic	quadratic	ADJ
ap-1672	72	23	invariant	invariant	NOUN
ap-1672	72	24	of	of	ADP
ap-1672	72	25	the	the	DET
ap-1672	72	26	local	local	ADJ
ap-1672	72	27	stress	stress	NOUN
ap-1672	72	28	deviator	deviator	NOUN
ap-1672	72	29	σd	σd	PROPN
ap-1672	72	30	,	,	PUNCT
ap-1672	72	31	defined	define	VERB
ap-1672	72	32	as	as	ADP
ap-1672	72	33	j	j	PROPN
ap-1672	72	34	(	(	PUNCT
ap-1672	72	35	r	r	NOUN
ap-1672	72	36	)	)	PUNCT
ap-1672	72	37	2	2	NUM
ap-1672	72	38	=	=	SYM
ap-1672	72	39	√	√	NUM
ap-1672	72	40	1	1	NUM
ap-1672	72	41	2|ω(r)|	2|ω(r)|	NUM
ap-1672	72	42	∫	∫	PROPN
ap-1672	72	43	ω(r	ω(r	NUM
ap-1672	72	44	)	)	PUNCT
ap-1672	72	45	σd(x)tσd(x	σd(x)tσd(x	PROPN
ap-1672	72	46	)	)	PUNCT
ap-1672	72	47	dx	dx	PROPN
ap-1672	72	48	,	,	PUNCT
ap-1672	72	49	(	(	PUNCT
ap-1672	72	50	3	3	X
ap-1672	72	51	)	)	PUNCT
ap-1672	72	52	which	which	PRON
ap-1672	72	53	can	can	AUX
ap-1672	72	54	be	be	AUX
ap-1672	72	55	directly	directly	ADV
ap-1672	72	56	used	use	VERB
ap-1672	72	57	to	to	PART
ap-1672	72	58	estimate	estimate	VERB
ap-1672	72	59	the	the	DET
ap-1672	72	60	overall	overall	ADJ
ap-1672	72	61	strength	strength	NOUN
ap-1672	72	62	of	of	ADP
ap-1672	72	63	a	a	DET
ap-1672	72	64	material	material	NOUN
ap-1672	72	65	.	.	PUNCT
ap-1672	73	1	2.1	2.1	NUM
ap-1672	73	2	dilute	dilute	NOUN
ap-1672	73	3	concentration	concentration	NOUN
ap-1672	73	4	factors	factor	NOUN
ap-1672	73	5	due	due	ADJ
ap-1672	73	6	to	to	ADP
ap-1672	73	7	the	the	DET
ap-1672	73	8	geometrical	geometrical	ADJ
ap-1672	73	9	and	and	CCONJ
ap-1672	73	10	material	material	NOUN
ap-1672	73	11	isotropy	isotropy	NOUN
ap-1672	73	12	of	of	ADP
ap-1672	73	13	the	the	DET
ap-1672	73	14	individual	individual	ADJ
ap-1672	73	15	phases	phase	NOUN
ap-1672	73	16	,	,	PUNCT
ap-1672	73	17	the	the	DET
ap-1672	73	18	dilute	dilute	ADJ
ap-1672	73	19	concentration	concentration	NOUN
ap-1672	73	20	factors	factor	NOUN
ap-1672	73	21	attain	attain	VERB
ap-1672	73	22	a	a	DET
ap-1672	73	23	form	form	NOUN
ap-1672	73	24	analogous	analogous	ADJ
ap-1672	73	25	to	to	ADP
ap-1672	73	26	(	(	PUNCT
ap-1672	73	27	1	1	NUM
ap-1672	73	28	):	):	PUNCT
ap-1672	73	29	a	a	DET
ap-1672	73	30	(	(	PUNCT
ap-1672	73	31	r	r	NOUN
ap-1672	73	32	)	)	PUNCT
ap-1672	73	33	dil	dil	NOUN
ap-1672	73	34	=	=	PUNCT
ap-1672	73	35	a	a	PRON
ap-1672	73	36	(	(	PUNCT
ap-1672	73	37	r	r	NOUN
ap-1672	73	38	)	)	PUNCT
ap-1672	73	39	dil	dil	NOUN
ap-1672	73	40	,	,	PUNCT
ap-1672	73	41	viv	viv	PROPN
ap-1672	73	42	+	+	PROPN
ap-1672	73	43	a	a	DET
ap-1672	73	44	(	(	PUNCT
ap-1672	73	45	r	r	NOUN
ap-1672	73	46	)	)	PUNCT
ap-1672	73	47	dil	dil	NOUN
ap-1672	73	48	,	,	PUNCT
ap-1672	73	49	did	do	VERB
ap-1672	73	50	for	for	ADP
ap-1672	73	51	r	r	NOUN
ap-1672	73	52	=	=	SYM
ap-1672	73	53	1	1	NUM
ap-1672	73	54	,	,	PUNCT
ap-1672	73	55	.	.	PUNCT
ap-1672	73	56	.	.	PUNCT
ap-1672	74	1	.	.	PUNCT
ap-1672	75	1	,	,	PUNCT
ap-1672	75	2	n.	n.	NOUN
ap-1672	75	3	(	(	PUNCT
ap-1672	75	4	4	4	NUM
ap-1672	75	5	)	)	PUNCT
ap-1672	75	6	30	30	NUM
ap-1672	75	7	acta	acta	PROPN
ap-1672	75	8	polytechnica	polytechnica	PROPN
ap-1672	75	9	vol	vol	NOUN
ap-1672	75	10	.	.	PROPN
ap-1672	76	1	52	52	NUM
ap-1672	76	2	no	no	NOUN
ap-1672	76	3	.	.	PUNCT
ap-1672	77	1	6/2012	6/2012	NUM
ap-1672	77	2	(	(	PUNCT
ap-1672	77	3	i3	i3	PROPN
ap-1672	77	4	)	)	PUNCT
ap-1672	77	5	(	(	PUNCT
ap-1672	77	6	i1	i1	PROPN
ap-1672	77	7	)	)	PUNCT
ap-1672	77	8	(	(	PUNCT
ap-1672	77	9	i2	i2	PROPN
ap-1672	77	10	)	)	PUNCT
ap-1672	77	11	r(i1	r(i1	NOUN
ap-1672	77	12	)	)	PUNCT
ap-1672	77	13	r(i2	r(i2	NOUN
ap-1672	77	14	)	)	PUNCT
ap-1672	77	15	figure	figure	NOUN
ap-1672	77	16	2	2	NUM
ap-1672	77	17	:	:	PUNCT
ap-1672	77	18	scheme	scheme	NOUN
ap-1672	77	19	of	of	ADP
ap-1672	77	20	a	a	DET
ap-1672	77	21	single	single	ADJ
ap-1672	77	22	-	-	PUNCT
ap-1672	77	23	layer	layer	NOUN
ap-1672	77	24	inclusion	inclusion	NOUN
ap-1672	77	25	the	the	DET
ap-1672	77	26	expressions	expression	NOUN
ap-1672	77	27	for	for	ADP
ap-1672	77	28	the	the	DET
ap-1672	77	29	components	component	NOUN
ap-1672	77	30	are	be	AUX
ap-1672	77	31	given	give	VERB
ap-1672	77	32	separately	separately	ADV
ap-1672	77	33	for	for	ADP
ap-1672	77	34	the	the	DET
ap-1672	77	35	uncoated	uncoated	ADJ
ap-1672	77	36	(	(	PUNCT
ap-1672	77	37	r	r	NOUN
ap-1672	77	38	=	=	SYM
ap-1672	77	39	1	1	NUM
ap-1672	77	40	)	)	PUNCT
ap-1672	77	41	and	and	CCONJ
ap-1672	77	42	coated	coat	VERB
ap-1672	77	43	(	(	PUNCT
ap-1672	77	44	r	r	NOUN
ap-1672	77	45	=	=	SYM
ap-1672	77	46	2	2	NUM
ap-1672	77	47	,	,	PUNCT
ap-1672	77	48	.	.	PUNCT
ap-1672	77	49	.	.	PUNCT
ap-1672	78	1	.	.	PUNCT
ap-1672	79	1	,	,	PUNCT
ap-1672	79	2	5	5	X
ap-1672	79	3	)	)	PUNCT
ap-1672	79	4	particles	particle	NOUN
ap-1672	79	5	.	.	PUNCT
ap-1672	80	1	namely	namely	ADV
ap-1672	80	2	,	,	PUNCT
ap-1672	80	3	in	in	ADP
ap-1672	80	4	the	the	DET
ap-1672	80	5	first	first	ADJ
ap-1672	80	6	case	case	NOUN
ap-1672	80	7	it	it	PRON
ap-1672	80	8	holds	hold	VERB
ap-1672	80	9	a	a	DET
ap-1672	80	10	(	(	PUNCT
ap-1672	80	11	1	1	NUM
ap-1672	80	12	)	)	PUNCT
ap-1672	80	13	dil	dil	NOUN
ap-1672	80	14	,	,	PUNCT
ap-1672	80	15	v	v	NOUN
ap-1672	80	16	=	=	SYM
ap-1672	80	17	k(0	k(0	PROPN
ap-1672	80	18	)	)	PUNCT
ap-1672	80	19	k(0	k(0	PROPN
ap-1672	80	20	)	)	PUNCT
ap-1672	80	21	+	+	NOUN
ap-1672	81	1	α(0)(k(1	α(0)(k(1	X
ap-1672	81	2	)	)	PUNCT
ap-1672	81	3	−k(0	−k(0	NUM
ap-1672	81	4	)	)	PUNCT
ap-1672	81	5	)	)	PUNCT
ap-1672	81	6	,	,	PUNCT
ap-1672	81	7	a	a	DET
ap-1672	81	8	(	(	PUNCT
ap-1672	81	9	1	1	NUM
ap-1672	81	10	)	)	PUNCT
ap-1672	81	11	dil	dil	NOUN
ap-1672	81	12	,	,	PUNCT
ap-1672	81	13	d	d	NOUN
ap-1672	81	14	=	=	PUNCT
ap-1672	81	15	g(0	g(0	PROPN
ap-1672	81	16	)	)	PUNCT
ap-1672	81	17	g(0	g(0	PROPN
ap-1672	81	18	)	)	PUNCT
ap-1672	81	19	+	+	NUM
ap-1672	81	20	β(0)(g(1	β(0)(g(1	NUM
ap-1672	81	21	)	)	PUNCT
ap-1672	81	22	−g(0	−g(0	NOUN
ap-1672	81	23	)	)	PUNCT
ap-1672	81	24	)	)	PUNCT
ap-1672	81	25	,	,	PUNCT
ap-1672	81	26	with	with	ADP
ap-1672	81	27	the	the	DET
ap-1672	81	28	auxiliary	auxiliary	ADJ
ap-1672	81	29	factors	factor	NOUN
ap-1672	81	30	following	follow	VERB
ap-1672	81	31	from	from	ADP
ap-1672	81	32	the	the	DET
ap-1672	81	33	eshelby	eshelby	ADJ
ap-1672	81	34	solution	solution	NOUN
ap-1672	82	1	[	[	X
ap-1672	82	2	9	9	X
ap-1672	82	3	]	]	PUNCT
ap-1672	82	4	in	in	ADP
ap-1672	82	5	the	the	DET
ap-1672	82	6	form	form	NOUN
ap-1672	82	7	α(0	α(0	NOUN
ap-1672	82	8	)	)	PUNCT
ap-1672	82	9	=	=	SYM
ap-1672	83	1	1	1	NUM
ap-1672	83	2	+	+	CCONJ
ap-1672	83	3	ν(0	ν(0	PROPN
ap-1672	83	4	)	)	PUNCT
ap-1672	83	5	3(1	3(1	NUM
ap-1672	84	1	+	+	CCONJ
ap-1672	84	2	ν(0	ν(0	PROPN
ap-1672	84	3	)	)	PUNCT
ap-1672	84	4	)	)	PUNCT
ap-1672	84	5	,	,	PUNCT
ap-1672	84	6	β(0	β(0	PROPN
ap-1672	84	7	)	)	PUNCT
ap-1672	84	8	=	=	SYM
ap-1672	84	9	2(4−	2(4−	NUM
ap-1672	84	10	5ν(0	5ν(0	NUM
ap-1672	84	11	)	)	PUNCT
ap-1672	84	12	)	)	PUNCT
ap-1672	85	1	15(1−	15(1−	NUM
ap-1672	85	2	ν(0	ν(0	PROPN
ap-1672	85	3	)	)	PUNCT
ap-1672	85	4	)	)	PUNCT
ap-1672	85	5	,	,	PUNCT
ap-1672	85	6	where	where	SCONJ
ap-1672	85	7	ν(0	ν(0	PROPN
ap-1672	85	8	)	)	PUNCT
ap-1672	85	9	is	be	AUX
ap-1672	85	10	the	the	DET
ap-1672	85	11	poisson	poisson	PROPN
ap-1672	85	12	ratio	ratio	NOUN
ap-1672	85	13	of	of	ADP
ap-1672	85	14	the	the	DET
ap-1672	85	15	matrix	matrix	NOUN
ap-1672	85	16	phase	phase	NOUN
ap-1672	85	17	.	.	PUNCT
ap-1672	86	1	the	the	DET
ap-1672	86	2	coated	coated	ADJ
ap-1672	86	3	case	case	NOUN
ap-1672	86	4	is	be	AUX
ap-1672	86	5	more	more	ADV
ap-1672	86	6	involved	involve	VERB
ap-1672	86	7	,	,	PUNCT
ap-1672	86	8	and	and	CCONJ
ap-1672	86	9	was	be	AUX
ap-1672	86	10	first	first	ADV
ap-1672	86	11	solved	solve	VERB
ap-1672	86	12	in	in	ADP
ap-1672	86	13	its	its	PRON
ap-1672	86	14	full	full	ADJ
ap-1672	86	15	generality	generality	NOUN
ap-1672	86	16	by	by	ADP
ap-1672	86	17	herve	herve	PROPN
ap-1672	86	18	and	and	CCONJ
ap-1672	86	19	zaoui	zaoui	PROPN
ap-1672	87	1	[	[	X
ap-1672	87	2	10	10	NUM
ap-1672	87	3	]	]	PUNCT
ap-1672	87	4	for	for	ADP
ap-1672	87	5	a	a	DET
ap-1672	87	6	multi	multi	ADJ
ap-1672	87	7	-	-	ADJ
ap-1672	87	8	layered	layered	ADJ
ap-1672	87	9	spherical	spherical	ADJ
ap-1672	87	10	inclusion	inclusion	NOUN
ap-1672	87	11	.	.	PUNCT
ap-1672	88	1	to	to	PART
ap-1672	88	2	apply	apply	VERB
ap-1672	88	3	their	their	PRON
ap-1672	88	4	results	result	NOUN
ap-1672	88	5	in	in	ADP
ap-1672	88	6	the	the	DET
ap-1672	88	7	current	current	ADJ
ap-1672	88	8	setting	setting	NOUN
ap-1672	88	9	,	,	PUNCT
ap-1672	88	10	we	we	PRON
ap-1672	88	11	locally	locally	ADV
ap-1672	88	12	number	number	VERB
ap-1672	88	13	the	the	DET
ap-1672	88	14	phases	phase	NOUN
ap-1672	88	15	by	by	ADP
ap-1672	88	16	the	the	DET
ap-1672	88	17	index	index	NOUN
ap-1672	89	1	i	i	PRON
ap-1672	89	2	=	=	PUNCT
ap-1672	90	1	[	[	X
ap-1672	90	2	i1	i1	PROPN
ap-1672	90	3	,	,	PUNCT
ap-1672	90	4	i2	i2	PROPN
ap-1672	90	5	,	,	PUNCT
ap-1672	90	6	i3]t	i3]t	PROPN
ap-1672	90	7	,	,	PUNCT
ap-1672	90	8	see	see	VERB
ap-1672	90	9	fig	fig	NOUN
ap-1672	90	10	.	.	PUNCT
ap-1672	91	1	2	2	NUM
ap-1672	91	2	,	,	PUNCT
ap-1672	91	3	where	where	SCONJ
ap-1672	91	4	i	i	PRON
ap-1672	91	5	=	=	PUNCT
ap-1672	92	1	[	[	X
ap-1672	92	2	2	2	NUM
ap-1672	92	3	,	,	PUNCT
ap-1672	92	4	3	3	NUM
ap-1672	92	5	,	,	PUNCT
ap-1672	92	6	0]t	0]t	NUM
ap-1672	92	7	for	for	ADP
ap-1672	92	8	the	the	DET
ap-1672	92	9	brick	brick	NOUN
ap-1672	92	10	–	–	PUNCT
ap-1672	92	11	c	c	NOUN
ap-1672	92	12	-	-	PUNCT
ap-1672	92	13	s	s	NOUN
ap-1672	92	14	-	-	PUNCT
ap-1672	92	15	h	h	NOUN
ap-1672	92	16	conglomerate	conglomerate	NOUN
ap-1672	92	17	and	and	CCONJ
ap-1672	92	18	i	i	PRON
ap-1672	92	19	=	=	PUNCT
ap-1672	93	1	[	[	X
ap-1672	93	2	4	4	NUM
ap-1672	93	3	,	,	PUNCT
ap-1672	93	4	5	5	NUM
ap-1672	93	5	,	,	PUNCT
ap-1672	93	6	0]t	0]t	NUM
ap-1672	93	7	refers	refer	VERB
ap-1672	93	8	to	to	ADP
ap-1672	93	9	a	a	DET
ap-1672	93	10	sand	sand	NOUN
ap-1672	93	11	particle	particle	NOUN
ap-1672	93	12	coated	coat	VERB
ap-1672	93	13	by	by	ADP
ap-1672	93	14	itz	itz	PROPN
ap-1672	93	15	.	.	PUNCT
ap-1672	94	1	now	now	ADV
ap-1672	94	2	,	,	PUNCT
ap-1672	94	3	we	we	PRON
ap-1672	94	4	have	have	VERB
ap-1672	94	5	a	a	DET
ap-1672	94	6	(	(	PUNCT
ap-1672	94	7	i1	i1	PROPN
ap-1672	94	8	)	)	PUNCT
ap-1672	94	9	dil	dil	PROPN
ap-1672	94	10	,	,	PUNCT
ap-1672	94	11	v	v	NOUN
ap-1672	94	12	=	=	SYM
ap-1672	94	13	1	1	NUM
ap-1672	94	14	q2	q2	NOUN
ap-1672	94	15	11	11	NUM
ap-1672	94	16	,	,	PUNCT
ap-1672	94	17	a	a	DET
ap-1672	94	18	(	(	PUNCT
ap-1672	94	19	i2	i2	PROPN
ap-1672	94	20	)	)	PUNCT
ap-1672	94	21	dil	dil	NOUN
ap-1672	94	22	,	,	PUNCT
ap-1672	94	23	v	v	NOUN
ap-1672	94	24	=	=	SYM
ap-1672	94	25	q1	q1	PROPN
ap-1672	94	26	11	11	NUM
ap-1672	94	27	q2	q2	NOUN
ap-1672	94	28	11	11	NUM
ap-1672	94	29	,	,	PUNCT
ap-1672	94	30	(	(	PUNCT
ap-1672	94	31	5	5	NUM
ap-1672	94	32	)	)	PUNCT
ap-1672	94	33	and	and	CCONJ
ap-1672	94	34	a	a	DET
ap-1672	94	35	(	(	PUNCT
ap-1672	94	36	i1	i1	PROPN
ap-1672	94	37	)	)	PUNCT
ap-1672	94	38	dil	dil	PROPN
ap-1672	94	39	,	,	PUNCT
ap-1672	94	40	d	d	NOUN
ap-1672	94	41	=	=	SYM
ap-1672	94	42	a1	a1	NOUN
ap-1672	94	43	−	−	NUM
ap-1672	94	44	21	21	NUM
ap-1672	94	45	5	5	NUM
ap-1672	94	46	r(i1)2	r(i1)2	PROPN
ap-1672	94	47	1−	1−	NUM
ap-1672	94	48	2ν(i1)b1	2ν(i1)b1	NUM
ap-1672	94	49	,	,	PUNCT
ap-1672	94	50	(	(	PUNCT
ap-1672	94	51	6	6	NUM
ap-1672	94	52	)	)	PUNCT
ap-1672	94	53	a	a	DET
ap-1672	94	54	(	(	PUNCT
ap-1672	94	55	i2	i2	PROPN
ap-1672	94	56	)	)	PUNCT
ap-1672	94	57	dil	dil	NOUN
ap-1672	94	58	,	,	PUNCT
ap-1672	94	59	d	d	NOUN
ap-1672	94	60	=	=	SYM
ap-1672	94	61	a2	a2	PROPN
ap-1672	94	62	−	−	PROPN
ap-1672	94	63	21	21	NUM
ap-1672	94	64	5	5	NUM
ap-1672	94	65	r(i2)5	r(i2)5	NUM
ap-1672	94	66	−r(i2−1)5	−r(i2−1)5	NOUN
ap-1672	94	67	(	(	PUNCT
ap-1672	94	68	1−	1−	NUM
ap-1672	94	69	2ν(i2))(r(i2)3	2ν(i2))(r(i2)3	NUM
ap-1672	94	70	−r(i2−1)3)b2	−r(i2−1)3)b2	NOUN
ap-1672	94	71	,	,	PUNCT
ap-1672	94	72	where	where	SCONJ
ap-1672	94	73	the	the	DET
ap-1672	94	74	auxiliary	auxiliary	ADJ
ap-1672	94	75	factors	factor	NOUN
ap-1672	94	76	are	be	AUX
ap-1672	94	77	provided	provide	VERB
ap-1672	94	78	in	in	ADP
ap-1672	94	79	appendix	appendix	ADJ
ap-1672	94	80	a.	a.	NOUN
ap-1672	94	81	2.2	2.2	NUM
ap-1672	94	82	stiffness	stiffness	NOUN
ap-1672	94	83	estimates	estimate	NOUN
ap-1672	94	84	in	in	ADP
ap-1672	94	85	benveniste	benveniste	NOUN
ap-1672	94	86	’s	’s	PART
ap-1672	94	87	[	[	X
ap-1672	94	88	4	4	NUM
ap-1672	94	89	]	]	X
ap-1672	94	90	interpretation	interpretation	NOUN
ap-1672	94	91	of	of	ADP
ap-1672	94	92	the	the	DET
ap-1672	94	93	original	original	ADJ
ap-1672	94	94	moritanaka	moritanaka	NOUN
ap-1672	94	95	method	method	NOUN
ap-1672	94	96	[	[	X
ap-1672	94	97	19	19	NUM
ap-1672	94	98	]	]	PUNCT
ap-1672	94	99	,	,	PUNCT
ap-1672	94	100	the	the	DET
ap-1672	94	101	mutual	mutual	ADJ
ap-1672	94	102	interaction	interaction	NOUN
ap-1672	94	103	among	among	ADP
ap-1672	94	104	the	the	DET
ap-1672	94	105	heterogeneities	heterogeneity	NOUN
ap-1672	94	106	is	be	AUX
ap-1672	94	107	modeled	model	VERB
ap-1672	94	108	by	by	ADP
ap-1672	94	109	loading	load	VERB
ap-1672	94	110	each	each	DET
ap-1672	94	111	particle	particle	NOUN
ap-1672	94	112	by	by	ADP
ap-1672	94	113	the	the	DET
ap-1672	94	114	average	average	ADJ
ap-1672	94	115	strain	strain	NOUN
ap-1672	94	116	in	in	ADP
ap-1672	94	117	the	the	DET
ap-1672	94	118	matrix	matrix	NOUN
ap-1672	94	119	phase	phase	NOUN
ap-1672	94	120	e(0	e(0	NOUN
ap-1672	94	121	)	)	PUNCT
ap-1672	94	122	instead	instead	ADV
ap-1672	94	123	of	of	ADP
ap-1672	94	124	e.	e.	PROPN
ap-1672	94	125	for	for	ADP
ap-1672	94	126	this	this	DET
ap-1672	94	127	purpose	purpose	NOUN
ap-1672	94	128	,	,	PUNCT
ap-1672	94	129	we	we	PRON
ap-1672	94	130	relate	relate	VERB
ap-1672	94	131	e(0	e(0	NOUN
ap-1672	94	132	)	)	PUNCT
ap-1672	94	133	to	to	ADP
ap-1672	94	134	e	e	VERB
ap-1672	94	135	by	by	ADP
ap-1672	94	136	a	a	DET
ap-1672	94	137	strain	strain	NOUN
ap-1672	94	138	compatibility	compatibility	NOUN
ap-1672	94	139	condition	condition	NOUN
ap-1672	94	140	,	,	PUNCT
ap-1672	94	141	valid	valid	ADJ
ap-1672	94	142	under	under	ADP
ap-1672	94	143	the	the	DET
ap-1672	94	144	dilute	dilute	NOUN
ap-1672	94	145	approximation	approximation	NOUN
ap-1672	94	146	,	,	PUNCT
ap-1672	94	147	e	e	X
ap-1672	94	148	=	=	PUNCT
ap-1672	94	149	(	(	PUNCT
ap-1672	94	150	c(0)i	c(0)i	X
ap-1672	94	151	+	+	NUM
ap-1672	94	152	n∑	n∑	ADJ
ap-1672	94	153	r=1	r=1	NOUN
ap-1672	94	154	c(r)a	c(r)a	PROPN
ap-1672	94	155	(	(	PUNCT
ap-1672	94	156	r	r	NOUN
ap-1672	94	157	)	)	PUNCT
ap-1672	94	158	dil	dil	NOUN
ap-1672	94	159	)	)	PUNCT
ap-1672	95	1	e(0	e(0	NOUN
ap-1672	95	2	)	)	PUNCT
ap-1672	95	3	,	,	PUNCT
ap-1672	95	4	from	from	ADP
ap-1672	95	5	which	which	PRON
ap-1672	95	6	we	we	PRON
ap-1672	95	7	express	express	VERB
ap-1672	95	8	the	the	DET
ap-1672	95	9	full	full	ADJ
ap-1672	95	10	concentration	concentration	NOUN
ap-1672	95	11	factors	factor	NOUN
ap-1672	95	12	as	as	ADP
ap-1672	95	13	a(0	a(0	PROPN
ap-1672	95	14	)	)	PUNCT
ap-1672	95	15	=	=	NOUN
ap-1672	95	16	(	(	PUNCT
ap-1672	95	17	c(0)i	c(0)i	ADJ
ap-1672	95	18	+	+	NUM
ap-1672	95	19	n∑	n∑	ADJ
ap-1672	95	20	r=1	r=1	NOUN
ap-1672	95	21	c(r)a	c(r)a	PROPN
ap-1672	95	22	(	(	PUNCT
ap-1672	95	23	r	r	NOUN
ap-1672	95	24	)	)	PUNCT
ap-1672	95	25	dil	dil	NOUN
ap-1672	95	26	)	)	PUNCT
ap-1672	95	27	−1	−1	NOUN
ap-1672	95	28	,	,	PUNCT
ap-1672	95	29	a(r	a(r	NOUN
ap-1672	95	30	)	)	PUNCT
ap-1672	95	31	=	=	SYM
ap-1672	95	32	a	a	DET
ap-1672	95	33	(	(	PUNCT
ap-1672	95	34	r	r	NOUN
ap-1672	95	35	)	)	PUNCT
ap-1672	95	36	dila	dila	NOUN
ap-1672	95	37	(	(	PUNCT
ap-1672	95	38	0	0	NUM
ap-1672	95	39	)	)	PUNCT
ap-1672	95	40	for	for	ADP
ap-1672	95	41	r	r	NOUN
ap-1672	95	42	=	=	SYM
ap-1672	95	43	1	1	NUM
ap-1672	95	44	,	,	PUNCT
ap-1672	95	45	.	.	PUNCT
ap-1672	95	46	.	.	PUNCT
ap-1672	95	47	.	.	PUNCT
ap-1672	96	1	,	,	PUNCT
ap-1672	96	2	n.	n.	NOUN
ap-1672	96	3	utilizing	utilize	VERB
ap-1672	96	4	a	a	DET
ap-1672	96	5	universal	universal	ADJ
ap-1672	96	6	relation	relation	NOUN
ap-1672	97	1	leff	leff	PROPN
ap-1672	97	2	=	=	PUNCT
ap-1672	97	3	n∑	n∑	PROPN
ap-1672	97	4	r=0	r=0	PROPN
ap-1672	97	5	c(r)l(r)a(r	c(r)l(r)a(r	NOUN
ap-1672	97	6	)	)	PUNCT
ap-1672	97	7	,	,	PUNCT
ap-1672	97	8	we	we	PRON
ap-1672	97	9	can	can	AUX
ap-1672	97	10	see	see	VERB
ap-1672	97	11	that	that	SCONJ
ap-1672	97	12	the	the	DET
ap-1672	97	13	effective	effective	ADJ
ap-1672	97	14	stiffness	stiffness	NOUN
ap-1672	97	15	inherits	inherit	VERB
ap-1672	97	16	the	the	DET
ap-1672	97	17	symmetry	symmetry	NOUN
ap-1672	97	18	of	of	ADP
ap-1672	97	19	individual	individual	ADJ
ap-1672	97	20	phases	phase	NOUN
ap-1672	97	21	(	(	PUNCT
ap-1672	97	22	1	1	NUM
ap-1672	97	23	)	)	PUNCT
ap-1672	97	24	with	with	ADP
ap-1672	97	25	keff	keff	NOUN
ap-1672	97	26	=	=	SYM
ap-1672	97	27	c(0)k(0	c(0)k(0	PROPN
ap-1672	97	28	)	)	PUNCT
ap-1672	98	1	+	+	CCONJ
ap-1672	98	2	∑n	∑n	PROPN
ap-1672	98	3	r=1	r=1	NOUN
ap-1672	98	4	c	c	NOUN
ap-1672	98	5	(	(	PUNCT
ap-1672	98	6	r)k(r)a	r)k(r)a	PROPN
ap-1672	98	7	(	(	PUNCT
ap-1672	98	8	r	r	NOUN
ap-1672	98	9	)	)	PUNCT
ap-1672	98	10	dil	dil	NOUN
ap-1672	98	11	,	,	PUNCT
ap-1672	98	12	v	v	NOUN
ap-1672	98	13	c(0	c(0	NOUN
ap-1672	98	14	)	)	PUNCT
ap-1672	98	15	+	+	CCONJ
ap-1672	98	16	∑n	∑n	PROPN
ap-1672	98	17	r=1	r=1	NOUN
ap-1672	98	18	c	c	NOUN
ap-1672	98	19	(	(	PUNCT
ap-1672	98	20	r)a	r)a	X
ap-1672	98	21	(	(	PUNCT
ap-1672	98	22	r	r	NOUN
ap-1672	98	23	)	)	PUNCT
ap-1672	98	24	dil	dil	NOUN
ap-1672	98	25	,	,	PUNCT
ap-1672	98	26	v	v	NOUN
ap-1672	98	27	,	,	PUNCT
ap-1672	98	28	(	(	PUNCT
ap-1672	98	29	7a	7a	X
ap-1672	98	30	)	)	PUNCT
ap-1672	98	31	geff	geff	NOUN
ap-1672	98	32	=	=	SYM
ap-1672	98	33	c(0)g(0	c(0)g(0	NOUN
ap-1672	98	34	)	)	PUNCT
ap-1672	98	35	+	+	CCONJ
ap-1672	98	36	∑n	∑n	PROPN
ap-1672	98	37	r=1	r=1	NOUN
ap-1672	98	38	c	c	NOUN
ap-1672	98	39	(	(	PUNCT
ap-1672	98	40	r)g(r)a	r)g(r)a	PROPN
ap-1672	98	41	(	(	PUNCT
ap-1672	98	42	r	r	NOUN
ap-1672	98	43	)	)	PUNCT
ap-1672	98	44	dil	dil	NOUN
ap-1672	98	45	,	,	PUNCT
ap-1672	98	46	d	d	NOUN
ap-1672	98	47	c(0	c(0	NOUN
ap-1672	98	48	)	)	PUNCT
ap-1672	98	49	+	+	CCONJ
ap-1672	98	50	∑n	∑n	PROPN
ap-1672	98	51	r=1	r=1	NOUN
ap-1672	98	52	c	c	NOUN
ap-1672	98	53	(	(	PUNCT
ap-1672	98	54	r)a	r)a	X
ap-1672	98	55	(	(	PUNCT
ap-1672	98	56	r	r	NOUN
ap-1672	98	57	)	)	PUNCT
ap-1672	98	58	dil	dil	NOUN
ap-1672	98	59	,	,	PUNCT
ap-1672	98	60	d	d	NOUN
ap-1672	98	61	.	.	PUNCT
ap-1672	99	1	(	(	PUNCT
ap-1672	99	2	7b	7b	NUM
ap-1672	99	3	)	)	PUNCT
ap-1672	99	4	2.3	2.3	NUM
ap-1672	99	5	strength	strength	NOUN
ap-1672	99	6	estimates	estimate	NOUN
ap-1672	99	7	as	as	SCONJ
ap-1672	99	8	was	be	AUX
ap-1672	99	9	first	first	ADV
ap-1672	99	10	recognized	recognize	VERB
ap-1672	99	11	by	by	ADP
ap-1672	99	12	kreher	kreher	PROPN
ap-1672	100	1	[	[	X
ap-1672	100	2	14	14	NUM
ap-1672	100	3	]	]	PUNCT
ap-1672	100	4	,	,	PUNCT
ap-1672	100	5	the	the	DET
ap-1672	100	6	fluctuations	fluctuation	NOUN
ap-1672	100	7	of	of	ADP
ap-1672	100	8	the	the	DET
ap-1672	100	9	stresses	stress	NOUN
ap-1672	100	10	and	and	CCONJ
ap-1672	100	11	strains	strain	NOUN
ap-1672	100	12	in	in	ADP
ap-1672	100	13	individual	individual	ADJ
ap-1672	100	14	phases	phase	NOUN
ap-1672	100	15	can	can	AUX
ap-1672	100	16	be	be	AUX
ap-1672	100	17	estimated	estimate	VERB
ap-1672	100	18	from	from	ADP
ap-1672	100	19	the	the	DET
ap-1672	100	20	energy	energy	NOUN
ap-1672	100	21	conservation	conservation	NOUN
ap-1672	100	22	condition	condition	NOUN
ap-1672	100	23	due	due	ADP
ap-1672	100	24	to	to	ADP
ap-1672	100	25	hill	hill	NOUN
ap-1672	100	26	[	[	X
ap-1672	100	27	11	11	NUM
ap-1672	100	28	]	]	SYM
ap-1672	100	29	:	:	PUNCT
ap-1672	100	30	etleffe	etleffe	ADJ
ap-1672	100	31	=	=	SYM
ap-1672	100	32	1	1	NUM
ap-1672	100	33	|ω|	|ω|	NUM
ap-1672	100	34	n∑	n∑	PROPN
ap-1672	100	35	r=0	r=0	PROPN
ap-1672	100	36	(	(	PUNCT
ap-1672	100	37	9k(r	9k(r	PROPN
ap-1672	100	38	)	)	PUNCT
ap-1672	100	39	∫	∫	PROPN
ap-1672	100	40	ω(r	ω(r	NUM
ap-1672	100	41	)	)	PUNCT
ap-1672	100	42	ε2v(x	ε2v(x	PROPN
ap-1672	100	43	)	)	PUNCT
ap-1672	100	44	dx	dx	PROPN
ap-1672	100	45	+	+	CCONJ
ap-1672	100	46	∫	∫	PROPN
ap-1672	100	47	ω(r	ω(r	NUM
ap-1672	100	48	)	)	PUNCT
ap-1672	101	1	2g(r)εt	2g(r)εt	NUM
ap-1672	101	2	d(x)εd(x	d(x)εd(x	NOUN
ap-1672	101	3	)	)	PUNCT
ap-1672	101	4	dx	dx	PROPN
ap-1672	101	5	)	)	PUNCT
ap-1672	101	6	,	,	PUNCT
ap-1672	101	7	(	(	PUNCT
ap-1672	101	8	8)	8)	NUM
ap-1672	101	9	expressing	express	VERB
ap-1672	101	10	the	the	DET
ap-1672	101	11	conservation	conservation	NOUN
ap-1672	101	12	of	of	ADP
ap-1672	101	13	energy	energy	NOUN
ap-1672	101	14	on	on	ADP
ap-1672	101	15	the	the	DET
ap-1672	101	16	macroscale	macroscale	NOUN
ap-1672	101	17	due	due	ADP
ap-1672	101	18	to	to	ADP
ap-1672	101	19	e	e	NOUN
ap-1672	101	20	and	and	CCONJ
ap-1672	101	21	the	the	DET
ap-1672	101	22	average	average	ADJ
ap-1672	101	23	local	local	ADJ
ap-1672	101	24	values	value	NOUN
ap-1672	101	25	due	due	ADP
ap-1672	101	26	to	to	ADP
ap-1672	101	27	εv	εv	NOUN
ap-1672	101	28	and	and	CCONJ
ap-1672	101	29	εd	εd	PROPN
ap-1672	101	30	.	.	NOUN
ap-1672	101	31	differentiating	differentiate	VERB
ap-1672	101	32	(	(	PUNCT
ap-1672	101	33	8)	8)	NUM
ap-1672	101	34	with	with	ADP
ap-1672	101	35	respect	respect	NOUN
ap-1672	101	36	to	to	ADP
ap-1672	101	37	g(r	g(r	NOUN
ap-1672	101	38	)	)	PUNCT
ap-1672	101	39	,	,	PUNCT
ap-1672	101	40	we	we	PRON
ap-1672	101	41	obtain	obtain	VERB
ap-1672	101	42	et	et	VERB
ap-1672	101	43	∂leff	∂leff	NOUN
ap-1672	101	44	∂g(r)e	∂g(r)e	SYM
ap-1672	101	45	=	=	SYM
ap-1672	101	46	2	2	NUM
ap-1672	101	47	|ω|	|ω|	NUM
ap-1672	101	48	∫	∫	PROPN
ap-1672	101	49	ω(r	ω(r	PROPN
ap-1672	101	50	)	)	PUNCT
ap-1672	101	51	εt	εt	PROPN
ap-1672	102	1	d(x)εd(x	d(x)εd(x	AUX
ap-1672	102	2	)	)	PUNCT
ap-1672	102	3	dx	dx	PROPN
ap-1672	102	4	,	,	PUNCT
ap-1672	102	5	for	for	ADP
ap-1672	102	6	r	r	NOUN
ap-1672	102	7	=	=	SYM
ap-1672	102	8	0	0	NUM
ap-1672	102	9	,	,	PUNCT
ap-1672	102	10	.	.	PUNCT
ap-1672	102	11	.	.	PUNCT
ap-1672	103	1	.	.	PUNCT
ap-1672	104	1	,	,	PUNCT
ap-1672	104	2	n.	n.	PROPN
ap-1672	104	3	next	next	ADV
ap-1672	104	4	,	,	PUNCT
ap-1672	104	5	we	we	PRON
ap-1672	104	6	recognize	recognize	VERB
ap-1672	104	7	that	that	SCONJ
ap-1672	104	8	σ(r	σ(r	NOUN
ap-1672	104	9	)	)	PUNCT
ap-1672	105	1	d	d	NOUN
ap-1672	105	2	=	=	PUNCT
ap-1672	105	3	(	(	PUNCT
ap-1672	105	4	1/2g(r))ε(r	1/2g(r))ε(r	PROPN
ap-1672	105	5	)	)	PUNCT
ap-1672	105	6	d	d	NOUN
ap-1672	105	7	and	and	CCONJ
ap-1672	105	8	recall	recall	VERB
ap-1672	105	9	the	the	DET
ap-1672	105	10	definition	definition	NOUN
ap-1672	105	11	of	of	ADP
ap-1672	105	12	the	the	DET
ap-1672	105	13	quadratic	quadratic	ADJ
ap-1672	105	14	invariant	invariant	ADJ
ap-1672	105	15	(	(	PUNCT
ap-1672	105	16	3	3	NUM
ap-1672	105	17	)	)	PUNCT
ap-1672	105	18	to	to	PART
ap-1672	105	19	arrive	arrive	VERB
ap-1672	105	20	at	at	ADP
ap-1672	105	21	j	j	PROPN
ap-1672	105	22	(	(	PUNCT
ap-1672	105	23	r	r	NOUN
ap-1672	105	24	)	)	PUNCT
ap-1672	105	25	2	2	NUM
ap-1672	105	26	=	=	SYM
ap-1672	105	27	g(r	g(r	NOUN
ap-1672	105	28	)	)	PUNCT
ap-1672	105	29	√	√	NOUN
ap-1672	105	30	1	1	NUM
ap-1672	105	31	c(r	c(r	NOUN
ap-1672	105	32	)	)	PUNCT
ap-1672	105	33	et	et	PROPN
ap-1672	105	34	∂leff	∂leff	PROPN
ap-1672	105	35	∂g(r)e	∂g(r)e	PROPN
ap-1672	105	36	.	.	PUNCT
ap-1672	106	1	(	(	PUNCT
ap-1672	106	2	9	9	NUM
ap-1672	106	3	)	)	PUNCT
ap-1672	106	4	as	as	SCONJ
ap-1672	106	5	was	be	AUX
ap-1672	106	6	thoroughly	thoroughly	ADV
ap-1672	106	7	demonstrated	demonstrate	VERB
ap-1672	106	8	by	by	ADP
ap-1672	106	9	pichler	pichler	PROPN
ap-1672	106	10	et	et	PROPN
ap-1672	106	11	al	al	PROPN
ap-1672	106	12	.	.	PUNCT
ap-1672	107	1	[	[	X
ap-1672	107	2	27	27	NUM
ap-1672	107	3	]	]	PUNCT
ap-1672	107	4	and	and	CCONJ
ap-1672	107	5	pichler	pichler	NOUN
ap-1672	107	6	and	and	CCONJ
ap-1672	107	7	hellmich	hellmich	PRON
ap-1672	107	8	[	[	X
ap-1672	107	9	26	26	NUM
ap-1672	107	10	]	]	PUNCT
ap-1672	107	11	,	,	PUNCT
ap-1672	107	12	this	this	DET
ap-1672	107	13	quantity	quantity	NOUN
ap-1672	107	14	is	be	AUX
ap-1672	107	15	closely	closely	ADV
ap-1672	107	16	related	relate	VERB
ap-1672	107	17	to	to	ADP
ap-1672	107	18	the	the	DET
ap-1672	107	19	compressive	compressive	ADJ
ap-1672	107	20	strength	strength	NOUN
ap-1672	107	21	fc	fc	PROPN
ap-1672	107	22	of	of	ADP
ap-1672	107	23	31	31	NUM
ap-1672	107	24	acta	acta	PROPN
ap-1672	107	25	polytechnica	polytechnica	PROPN
ap-1672	107	26	vol	vol	NOUN
ap-1672	107	27	.	.	PROPN
ap-1672	108	1	52	52	NUM
ap-1672	108	2	no	no	NOUN
ap-1672	108	3	.	.	PUNCT
ap-1672	109	1	6/2012	6/2012	NUM
ap-1672	109	2	.	.	PUNCT
ap-1672	109	3	table	table	NOUN
ap-1672	110	1	1	1	NUM
ap-1672	110	2	:	:	PUNCT
ap-1672	110	3	reference	reference	NOUN
ap-1672	110	4	properties	property	NOUN
ap-1672	110	5	of	of	ADP
ap-1672	110	6	individual	individual	ADJ
ap-1672	110	7	phases	phase	NOUN
ap-1672	110	8	;	;	PUNCT
ap-1672	110	9	ρ	ρ	PROPN
ap-1672	110	10	denotes	denote	NOUN
ap-1672	110	11	mass	mass	PROPN
ap-1672	110	12	density	density	NOUN
ap-1672	110	13	,	,	PUNCT
ap-1672	110	14	ft	ft	PROPN
ap-1672	110	15	is	be	AUX
ap-1672	110	16	tensile	tensile	NOUN
ap-1672	110	17	strength	strength	NOUN
ap-1672	110	18	,	,	PUNCT
ap-1672	110	19	m	m	VERB
ap-1672	110	20	is	be	AUX
ap-1672	110	21	the	the	DET
ap-1672	110	22	mass	mass	ADJ
ap-1672	110	23	fraction	fraction	NOUN
ap-1672	110	24	,	,	PUNCT
ap-1672	110	25	and	and	CCONJ
ap-1672	110	26	radii	radius	NOUN
ap-1672	110	27	r	r	NOUN
ap-1672	110	28	are	be	AUX
ap-1672	110	29	defined	define	VERB
ap-1672	110	30	according	accord	VERB
ap-1672	110	31	to	to	ADP
ap-1672	110	32	fig	fig	NOUN
ap-1672	110	33	.	.	PUNCT
ap-1672	111	1	2	2	NUM
ap-1672	111	2	r	r	NOUN
ap-1672	111	3	phase	phase	NOUN
ap-1672	111	4	ρ	ρ	NOUN
ap-1672	111	5	e	e	NOUN
ap-1672	111	6	ν	ν	PROPN
ap-1672	111	7	ft	ft	PROPN
ap-1672	111	8	m	m	PROPN
ap-1672	111	9	r	r	NOUN
ap-1672	111	10	note	note	NOUN
ap-1672	112	1	[	[	X
ap-1672	112	2	kgm−3	kgm−3	X
ap-1672	112	3	]	]	X
ap-1672	113	1	[	[	X
ap-1672	113	2	mpa	mpa	X
ap-1672	113	3	]	]	X
ap-1672	114	1	[	[	X
ap-1672	114	2	-	-	X
ap-1672	114	3	]	]	X
ap-1672	115	1	[	[	X
ap-1672	115	2	mpa	mpa	X
ap-1672	115	3	]	]	X
ap-1672	116	1	[	[	X
ap-1672	116	2	-	-	X
ap-1672	116	3	]	]	X
ap-1672	116	4	[	[	X
ap-1672	116	5	µm	µm	X
ap-1672	116	6	]	]	PUNCT
ap-1672	116	7	0	0	PUNCT
ap-1672	116	8	pure	pure	ADJ
ap-1672	116	9	lime	lime	NOUN
ap-1672	116	10	matrix	matrix	NOUN
ap-1672	116	11	1200a	1200a	NUM
ap-1672	116	12	2000[8	2000[8	NUM
ap-1672	116	13	]	]	X
ap-1672	116	14	0.25[8	0.25[8	NUM
ap-1672	116	15	]	]	PUNCT
ap-1672	116	16	0.4[8	0.4[8	NOUN
ap-1672	116	17	]	]	X
ap-1672	116	18	3	3	NUM
ap-1672	116	19	×	×	NOUN
ap-1672	116	20	1	1	NUM
ap-1672	116	21	voids	voids	NOUN
ap-1672	116	22	×	×	NOUN
ap-1672	116	23	10−9	10−9	NUM
ap-1672	116	24	0.25	0.25	NUM
ap-1672	116	25	×	×	NOUN
ap-1672	116	26	×	×	NOUN
ap-1672	116	27	0.1–100[22	0.1–100[22	NOUN
ap-1672	116	28	]	]	X
ap-1672	116	29	c(1	c(1	NOUN
ap-1672	116	30	)	)	PUNCT
ap-1672	116	31	=	=	PUNCT
ap-1672	117	1	35%a	35%a	NUM
ap-1672	117	2	2	2	NUM
ap-1672	117	3	clay	clay	NOUN
ap-1672	117	4	brick	brick	NOUN
ap-1672	117	5	2300a	2300a	NOUN
ap-1672	117	6	5000a	5000a	NOUN
ap-1672	117	7	0.17a	0.17a	PROPN
ap-1672	118	1	3.2a	3.2a	NUM
ap-1672	118	2	1	1	NUM
ap-1672	118	3	500	500	NUM
ap-1672	118	4	3	3	NUM
ap-1672	118	5	c	c	X
ap-1672	118	6	-	-	PUNCT
ap-1672	118	7	s	s	NOUN
ap-1672	118	8	-	-	PUNCT
ap-1672	118	9	h	h	NOUN
ap-1672	118	10	gel	gel	NOUN
ap-1672	118	11	2000[12	2000[12	NUM
ap-1672	118	12	]	]	X
ap-1672	118	13	22000[7	22000[7	NUM
ap-1672	118	14	]	]	PUNCT
ap-1672	118	15	0.2[7	0.2[7	X
ap-1672	118	16	]	]	X
ap-1672	118	17	×	×	PROPN
ap-1672	118	18	×	×	NOUN
ap-1672	118	19	510[6	510[6	NUM
ap-1672	118	20	]	]	PUNCT
ap-1672	118	21	4	4	NUM
ap-1672	118	22	siliceous	siliceous	ADJ
ap-1672	118	23	sand	sand	NOUN
ap-1672	118	24	2700a	2700a	NUM
ap-1672	118	25	60000[34	60000[34	NUM
ap-1672	118	26	]	]	SYM
ap-1672	118	27	0.17[34	0.17[34	NOUN
ap-1672	118	28	]	]	X
ap-1672	118	29	48[23	48[23	NUM
ap-1672	118	30	]	]	X
ap-1672	118	31	1	1	NUM
ap-1672	118	32	500	500	NUM
ap-1672	118	33	5	5	NUM
ap-1672	118	34	itz	itz	NOUN
ap-1672	118	35	1200b	1200b	NUM
ap-1672	118	36	500c	500c	NUM
ap-1672	118	37	0.25b	0.25b	NUM
ap-1672	118	38	×	×	NOUN
ap-1672	118	39	×	×	PROPN
ap-1672	118	40	520c	520c	PROPN
ap-1672	118	41	a	a	DET
ap-1672	118	42	our	our	PRON
ap-1672	118	43	own	own	ADJ
ap-1672	118	44	(	(	PUNCT
ap-1672	118	45	unpublished	unpublished	ADJ
ap-1672	118	46	)	)	PUNCT
ap-1672	118	47	data	datum	NOUN
ap-1672	118	48	.	.	PUNCT
ap-1672	119	1	densities	density	NOUN
ap-1672	119	2	and	and	CCONJ
ap-1672	119	3	porosity	porosity	NOUN
ap-1672	119	4	were	be	AUX
ap-1672	119	5	measured	measure	VERB
ap-1672	119	6	by	by	ADP
ap-1672	119	7	a	a	DET
ap-1672	119	8	pycnometer	pycnometer	NOUN
ap-1672	119	9	,	,	PUNCT
ap-1672	119	10	elastic	elastic	ADJ
ap-1672	119	11	constants	constant	NOUN
ap-1672	119	12	were	be	AUX
ap-1672	119	13	determined	determine	VERB
ap-1672	119	14	from	from	ADP
ap-1672	119	15	strain	strain	NOUN
ap-1672	119	16	-	-	PUNCT
ap-1672	119	17	gauge	gauge	NOUN
ap-1672	119	18	data	datum	NOUN
ap-1672	119	19	in	in	ADP
ap-1672	119	20	a	a	DET
ap-1672	119	21	compression	compression	NOUN
ap-1672	119	22	test	test	NOUN
ap-1672	119	23	,	,	PUNCT
ap-1672	119	24	and	and	CCONJ
ap-1672	119	25	the	the	DET
ap-1672	119	26	tensile	tensile	NOUN
ap-1672	119	27	strength	strength	NOUN
ap-1672	119	28	follows	follow	VERB
ap-1672	119	29	from	from	ADP
ap-1672	119	30	a	a	DET
ap-1672	119	31	unidirectional	unidirectional	ADJ
ap-1672	119	32	tensile	tensile	NOUN
ap-1672	119	33	test	test	NOUN
ap-1672	119	34	.	.	PUNCT
ap-1672	120	1	b	b	NUM
ap-1672	120	2	same	same	ADJ
ap-1672	120	3	value	value	NOUN
ap-1672	120	4	as	as	ADP
ap-1672	120	5	for	for	ADP
ap-1672	120	6	the	the	DET
ap-1672	120	7	lime	lime	NOUN
ap-1672	120	8	matrix	matrix	NOUN
ap-1672	120	9	.	.	PUNCT
ap-1672	121	1	c	c	PROPN
ap-1672	121	2	set	set	VERB
ap-1672	121	3	as	as	ADP
ap-1672	121	4	in	in	ADP
ap-1672	121	5	[	[	X
ap-1672	121	6	36	36	NUM
ap-1672	121	7	]	]	PUNCT
ap-1672	121	8	for	for	ADP
ap-1672	121	9	cement	cement	NOUN
ap-1672	121	10	-	-	PUNCT
ap-1672	121	11	based	base	VERB
ap-1672	121	12	concretes	concrete	NOUN
ap-1672	121	13	,	,	PUNCT
ap-1672	121	14	i.e.	i.e.	X
ap-1672	121	15	,	,	PUNCT
ap-1672	121	16	young	young	ADJ
ap-1672	121	17	’s	’s	PART
ap-1672	121	18	modulus	modulus	NOUN
ap-1672	121	19	to	to	ADP
ap-1672	121	20	20–40	20–40	NUM
ap-1672	121	21	%	%	NOUN
ap-1672	121	22	of	of	ADP
ap-1672	121	23	the	the	DET
ap-1672	121	24	value	value	NOUN
ap-1672	121	25	for	for	ADP
ap-1672	121	26	the	the	DET
ap-1672	121	27	matrix	matrix	NOUN
ap-1672	121	28	phase	phase	NOUN
ap-1672	121	29	and	and	CCONJ
ap-1672	121	30	thickness	thickness	NOUN
ap-1672	121	31	to	to	ADP
ap-1672	121	32	20	20	NUM
ap-1672	121	33	µm	µm	NUM
ap-1672	121	34	.	.	PUNCT
ap-1672	122	1	cement	cement	NOUN
ap-1672	122	2	pastes	paste	NOUN
ap-1672	122	3	at	at	ADP
ap-1672	122	4	various	various	ADJ
ap-1672	122	5	degrees	degree	NOUN
ap-1672	122	6	of	of	ADP
ap-1672	122	7	hydration	hydration	NOUN
ap-1672	122	8	.	.	PUNCT
ap-1672	123	1	here	here	ADV
ap-1672	123	2	,	,	PUNCT
ap-1672	123	3	we	we	PRON
ap-1672	123	4	postulate	postulate	VERB
ap-1672	123	5	that	that	DET
ap-1672	123	6	fc(p1	fc(p1	NOUN
ap-1672	123	7	)	)	PUNCT
ap-1672	123	8	fc(p2	fc(p2	PROPN
ap-1672	123	9	)	)	PUNCT
ap-1672	124	1	≈	≈	PROPN
ap-1672	124	2	j	j	PROPN
ap-1672	124	3	(	(	PUNCT
ap-1672	124	4	w	w	NOUN
ap-1672	124	5	)	)	PUNCT
ap-1672	124	6	2	2	NUM
ap-1672	124	7	(	(	PUNCT
ap-1672	124	8	p2	p2	PROPN
ap-1672	124	9	)	)	PUNCT
ap-1672	124	10	j	j	PROPN
ap-1672	124	11	(	(	PUNCT
ap-1672	124	12	w	w	NOUN
ap-1672	124	13	)	)	PUNCT
ap-1672	124	14	2	2	NUM
ap-1672	124	15	(	(	PUNCT
ap-1672	124	16	p1	p1	NOUN
ap-1672	124	17	)	)	PUNCT
ap-1672	124	18	,	,	PUNCT
ap-1672	124	19	(	(	PUNCT
ap-1672	124	20	10	10	NUM
ap-1672	124	21	)	)	PUNCT
ap-1672	124	22	where	where	SCONJ
ap-1672	124	23	w	w	NOUN
ap-1672	124	24	=	=	NOUN
ap-1672	124	25	0	0	NUM
ap-1672	124	26	,	,	PUNCT
ap-1672	124	27	.	.	PUNCT
ap-1672	124	28	.	.	PUNCT
ap-1672	124	29	.	.	PUNCT
ap-1672	125	1	,	,	PUNCT
ap-1672	125	2	n	n	PRON
ap-1672	125	3	is	be	AUX
ap-1672	125	4	the	the	DET
ap-1672	125	5	index	index	NOUN
ap-1672	125	6	of	of	ADP
ap-1672	125	7	the	the	DET
ap-1672	125	8	weakest	weak	ADJ
ap-1672	125	9	phase	phase	NOUN
ap-1672	125	10	and	and	CCONJ
ap-1672	125	11	p	p	NOUN
ap-1672	125	12	refers	refer	VERB
ap-1672	125	13	to	to	ADP
ap-1672	125	14	a	a	DET
ap-1672	125	15	parameter	parameter	NOUN
ap-1672	125	16	characterizing	characterize	VERB
ap-1672	125	17	the	the	DET
ap-1672	125	18	mixture	mixture	NOUN
ap-1672	125	19	composition	composition	NOUN
ap-1672	125	20	,	,	PUNCT
ap-1672	125	21	see	see	VERB
ap-1672	125	22	the	the	DET
ap-1672	125	23	next	next	ADJ
ap-1672	125	24	section	section	NOUN
ap-1672	125	25	for	for	ADP
ap-1672	125	26	concrete	concrete	ADJ
ap-1672	125	27	examples	example	NOUN
ap-1672	125	28	.	.	PUNCT
ap-1672	126	1	3	3	NUM
ap-1672	126	2	results	result	NOUN
ap-1672	126	3	and	and	CCONJ
ap-1672	126	4	discussion	discussion	VERB
ap-1672	126	5	the	the	DET
ap-1672	126	6	purpose	purpose	NOUN
ap-1672	126	7	of	of	ADP
ap-1672	126	8	this	this	DET
ap-1672	126	9	section	section	NOUN
ap-1672	126	10	is	be	AUX
ap-1672	126	11	to	to	PART
ap-1672	126	12	examine	examine	VERB
ap-1672	126	13	the	the	DET
ap-1672	126	14	trends	trend	NOUN
ap-1672	126	15	in	in	ADP
ap-1672	126	16	mechanical	mechanical	ADJ
ap-1672	126	17	properties	property	NOUN
ap-1672	126	18	as	as	SCONJ
ap-1672	126	19	predicted	predict	VERB
ap-1672	126	20	by	by	ADP
ap-1672	126	21	the	the	DET
ap-1672	126	22	proposed	propose	VERB
ap-1672	126	23	scheme	scheme	NOUN
ap-1672	126	24	.	.	PUNCT
ap-1672	127	1	the	the	DET
ap-1672	127	2	default	default	NOUN
ap-1672	127	3	data	datum	NOUN
ap-1672	127	4	for	for	ADP
ap-1672	127	5	individual	individual	ADJ
ap-1672	127	6	phases	phase	NOUN
ap-1672	127	7	,	,	PUNCT
ap-1672	127	8	summarized	summarize	VERB
ap-1672	127	9	in	in	ADP
ap-1672	127	10	table	table	NOUN
ap-1672	127	11	1	1	NUM
ap-1672	127	12	,	,	PUNCT
ap-1672	127	13	were	be	AUX
ap-1672	127	14	assembled	assemble	VERB
ap-1672	127	15	from	from	ADP
ap-1672	127	16	open	open	ADJ
ap-1672	127	17	literature	literature	NOUN
ap-1672	127	18	and	and	CCONJ
ap-1672	127	19	complemented	complement	VERB
ap-1672	127	20	with	with	ADP
ap-1672	127	21	our	our	PRON
ap-1672	127	22	own	own	ADJ
ap-1672	127	23	,	,	PUNCT
ap-1672	127	24	yet	yet	ADV
ap-1672	127	25	unpublished	unpublished	ADJ
ap-1672	127	26	,	,	PUNCT
ap-1672	127	27	measurements	measurement	NOUN
ap-1672	127	28	.	.	PUNCT
ap-1672	128	1	note	note	VERB
ap-1672	128	2	that	that	SCONJ
ap-1672	128	3	the	the	DET
ap-1672	128	4	matrix	matrix	NOUN
ap-1672	128	5	–	–	PUNCT
ap-1672	128	6	brick	brick	NOUN
ap-1672	128	7	–	–	PUNCT
ap-1672	128	8	sand	sand	NOUN
ap-1672	128	9	fractions	fraction	NOUN
ap-1672	128	10	correspond	correspond	VERB
ap-1672	128	11	to	to	ADP
ap-1672	128	12	a	a	DET
ap-1672	128	13	typical	typical	ADJ
ap-1672	128	14	composition	composition	NOUN
ap-1672	128	15	of	of	ADP
ap-1672	128	16	historic	historic	ADJ
ap-1672	128	17	lime	lime	NOUN
ap-1672	128	18	mortars	mortar	NOUN
ap-1672	128	19	[	[	X
ap-1672	128	20	3	3	NUM
ap-1672	128	21	,	,	PUNCT
ap-1672	128	22	2	2	NUM
ap-1672	128	23	]	]	PUNCT
ap-1672	128	24	,	,	PUNCT
ap-1672	128	25	and	and	CCONJ
ap-1672	128	26	that	that	SCONJ
ap-1672	128	27	the	the	DET
ap-1672	128	28	engineering	engineering	NOUN
ap-1672	128	29	constants	constant	NOUN
ap-1672	128	30	e	e	NOUN
ap-1672	128	31	and	and	CCONJ
ap-1672	128	32	ν	ν	NOUN
ap-1672	128	33	are	be	AUX
ap-1672	128	34	connected	connect	VERB
ap-1672	128	35	to	to	ADP
ap-1672	128	36	the	the	DET
ap-1672	128	37	bulk	bulk	ADJ
ap-1672	128	38	and	and	CCONJ
ap-1672	128	39	shear	shear	NOUN
ap-1672	128	40	moduli	modulus	NOUN
ap-1672	128	41	through	through	ADP
ap-1672	128	42	well	well	ADV
ap-1672	128	43	-	-	PUNCT
ap-1672	128	44	known	know	VERB
ap-1672	128	45	relations	relation	NOUN
ap-1672	128	46	,	,	PUNCT
ap-1672	129	1	e.g.	e.g.	ADV
ap-1672	129	2	[	[	X
ap-1672	129	3	18	18	NUM
ap-1672	129	4	,	,	PUNCT
ap-1672	129	5	p.	p.	NOUN
ap-1672	129	6	23	23	NUM
ap-1672	130	1	]	]	PUNCT
ap-1672	130	2	,	,	PUNCT
ap-1672	130	3	k	k	X
ap-1672	130	4	=	=	PUNCT
ap-1672	130	5	e	e	PROPN
ap-1672	130	6	3(1−	3(1−	NUM
ap-1672	130	7	2ν	2ν	NUM
ap-1672	130	8	)	)	PUNCT
ap-1672	130	9	,	,	PUNCT
ap-1672	130	10	g	g	NOUN
ap-1672	130	11	=	=	SYM
ap-1672	130	12	e	e	X
ap-1672	130	13	2(1	2(1	NUM
ap-1672	130	14	+	+	CCONJ
ap-1672	130	15	ν	ν	NOUN
ap-1672	130	16	)	)	PUNCT
ap-1672	130	17	.	.	PUNCT
ap-1672	131	1	given	give	VERB
ap-1672	131	2	the	the	DET
ap-1672	131	3	data	datum	NOUN
ap-1672	131	4	in	in	ADP
ap-1672	131	5	table	table	NOUN
ap-1672	131	6	1	1	NUM
ap-1672	131	7	,	,	PUNCT
ap-1672	131	8	the	the	DET
ap-1672	131	9	volume	volume	NOUN
ap-1672	131	10	fractions	fraction	NOUN
ap-1672	131	11	of	of	ADP
ap-1672	131	12	individual	individual	ADJ
ap-1672	131	13	phases	phase	NOUN
ap-1672	131	14	are	be	AUX
ap-1672	131	15	determined	determine	VERB
ap-1672	131	16	from	from	ADP
ap-1672	131	17	six	six	NUM
ap-1672	131	18	independent	independent	ADJ
ap-1672	131	19	conditions	condition	NOUN
ap-1672	131	20	.	.	PUNCT
ap-1672	132	1	the	the	DET
ap-1672	132	2	first	first	ADJ
ap-1672	132	3	two	two	NUM
ap-1672	132	4	relate	relate	VERB
ap-1672	132	5	the	the	DET
ap-1672	132	6	volume	volume	NOUN
ap-1672	132	7	fractions	fraction	NOUN
ap-1672	132	8	of	of	ADP
ap-1672	132	9	brick	brick	NOUN
ap-1672	132	10	and	and	CCONJ
ap-1672	132	11	sand	sand	NOUN
ap-1672	132	12	particles	particle	NOUN
ap-1672	132	13	and	and	CCONJ
ap-1672	132	14	their	their	PRON
ap-1672	132	15	coatings	coating	NOUN
ap-1672	132	16	by	by	ADP
ap-1672	132	17	c(3	c(3	NOUN
ap-1672	132	18	)	)	PUNCT
ap-1672	132	19	=	=	SYM
ap-1672	132	20	(	(	PUNCT
ap-1672	132	21	(	(	PUNCT
ap-1672	132	22	r(3	r(3	ADJ
ap-1672	132	23	)	)	PUNCT
ap-1672	132	24	r(2	r(2	NOUN
ap-1672	132	25	)	)	PUNCT
ap-1672	132	26	)	)	PUNCT
ap-1672	133	1	3−	3−	NUM
ap-1672	133	2	1	1	NUM
ap-1672	133	3	)	)	PUNCT
ap-1672	133	4	c(2	c(2	PROPN
ap-1672	133	5	)	)	PUNCT
ap-1672	133	6	,	,	PUNCT
ap-1672	133	7	c(5	c(5	PROPN
ap-1672	133	8	)	)	PUNCT
ap-1672	133	9	=	=	SYM
ap-1672	133	10	(	(	PUNCT
ap-1672	133	11	(	(	PUNCT
ap-1672	133	12	r(5	r(5	PROPN
ap-1672	133	13	)	)	PUNCT
ap-1672	133	14	r(4	r(4	PROPN
ap-1672	133	15	)	)	PUNCT
ap-1672	133	16	)	)	PUNCT
ap-1672	134	1	3−	3−	NUM
ap-1672	134	2	1	1	NUM
ap-1672	134	3	)	)	PUNCT
ap-1672	134	4	c(4	c(4	PROPN
ap-1672	134	5	)	)	PUNCT
ap-1672	134	6	.	.	PUNCT
ap-1672	135	1	next	next	ADV
ap-1672	135	2	,	,	PUNCT
ap-1672	135	3	we	we	PRON
ap-1672	135	4	enforce	enforce	VERB
ap-1672	135	5	the	the	DET
ap-1672	135	6	value	value	NOUN
ap-1672	135	7	of	of	ADP
ap-1672	135	8	mass	mass	ADJ
ap-1672	135	9	fractions	fraction	NOUN
ap-1672	135	10	via	via	ADP
ap-1672	135	11	c(0	c(0	NOUN
ap-1672	135	12	)	)	PUNCT
ap-1672	135	13	=	=	SYM
ap-1672	135	14	m(0)ρ(2	m(0)ρ(2	NOUN
ap-1672	135	15	)	)	PUNCT
ap-1672	135	16	m(2)ρ(0	m(2)ρ(0	NOUN
ap-1672	135	17	)	)	PUNCT
ap-1672	135	18	c	c	NOUN
ap-1672	135	19	(	(	PUNCT
ap-1672	135	20	2	2	NUM
ap-1672	135	21	)	)	PUNCT
ap-1672	135	22	,	,	PUNCT
ap-1672	135	23	c(0	c(0	NOUN
ap-1672	135	24	)	)	PUNCT
ap-1672	135	25	=	=	SYM
ap-1672	135	26	m(0)ρ(4	m(0)ρ(4	NOUN
ap-1672	135	27	)	)	PUNCT
ap-1672	135	28	m(4)ρ(0	m(4)ρ(0	NOUN
ap-1672	135	29	)	)	PUNCT
ap-1672	135	30	c	c	NOUN
ap-1672	135	31	(	(	PUNCT
ap-1672	135	32	4	4	NUM
ap-1672	135	33	)	)	PUNCT
ap-1672	135	34	,	,	PUNCT
ap-1672	135	35	where	where	SCONJ
ap-1672	135	36	m(r	m(r	PROPN
ap-1672	135	37	)	)	PUNCT
ap-1672	135	38	and	and	CCONJ
ap-1672	135	39	ρ(r	ρ(r	PROPN
ap-1672	135	40	)	)	PUNCT
ap-1672	135	41	denote	denote	VERB
ap-1672	135	42	the	the	DET
ap-1672	135	43	mass	mass	ADJ
ap-1672	135	44	fraction	fraction	NOUN
ap-1672	135	45	and	and	CCONJ
ap-1672	135	46	the	the	DET
ap-1672	135	47	mass	mass	ADJ
ap-1672	135	48	density	density	NOUN
ap-1672	135	49	of	of	ADP
ap-1672	135	50	the	the	DET
ap-1672	135	51	r	r	NOUN
ap-1672	135	52	-	-	PUNCT
ap-1672	135	53	th	th	VERB
ap-1672	135	54	phase	phase	NOUN
ap-1672	135	55	,	,	PUNCT
ap-1672	135	56	respectively	respectively	ADV
ap-1672	135	57	.	.	PUNCT
ap-1672	136	1	since	since	SCONJ
ap-1672	136	2	c(1	c(1	PROPN
ap-1672	136	3	)	)	PUNCT
ap-1672	136	4	is	be	AUX
ap-1672	136	5	given	give	VERB
ap-1672	136	6	,	,	PUNCT
ap-1672	136	7	the	the	DET
ap-1672	136	8	remaining	remain	VERB
ap-1672	136	9	condition	condition	NOUN
ap-1672	136	10	is	be	AUX
ap-1672	136	11	provided	provide	VERB
ap-1672	136	12	by∑5	by∑5	PROPN
ap-1672	136	13	r=0	r=0	PROPN
ap-1672	136	14	c	c	NOUN
ap-1672	136	15	(	(	PUNCT
ap-1672	136	16	r	r	NOUN
ap-1672	136	17	)	)	PUNCT
ap-1672	136	18	=	=	SYM
ap-1672	136	19	1	1	NUM
ap-1672	136	20	,	,	PUNCT
ap-1672	136	21	and	and	CCONJ
ap-1672	136	22	the	the	DET
ap-1672	136	23	phase	phase	NOUN
ap-1672	136	24	volume	volume	NOUN
ap-1672	136	25	fractions	fraction	NOUN
ap-1672	136	26	follow	follow	VERB
ap-1672	136	27	as	as	ADP
ap-1672	136	28	the	the	DET
ap-1672	136	29	solution	solution	NOUN
ap-1672	136	30	of	of	ADP
ap-1672	136	31	the	the	DET
ap-1672	136	32	system	system	NOUN
ap-1672	136	33	of	of	ADP
ap-1672	136	34	6×	6×	NOUN
ap-1672	136	35	6	6	NUM
ap-1672	136	36	linear	linear	NOUN
ap-1672	136	37	equations	equation	NOUN
ap-1672	136	38	.	.	PUNCT
ap-1672	137	1	in	in	ADP
ap-1672	137	2	the	the	DET
ap-1672	137	3	sensitivity	sensitivity	NOUN
ap-1672	137	4	analyses	analysis	NOUN
ap-1672	137	5	,	,	PUNCT
ap-1672	137	6	motivated	motivate	VERB
ap-1672	137	7	by	by	ADP
ap-1672	137	8	experimental	experimental	ADJ
ap-1672	137	9	findings	finding	NOUN
ap-1672	137	10	in	in	ADP
ap-1672	137	11	e.g.	e.g.	ADV
ap-1672	137	12	[	[	X
ap-1672	137	13	3	3	NUM
ap-1672	137	14	,	,	PUNCT
ap-1672	137	15	33	33	NUM
ap-1672	137	16	,	,	PUNCT
ap-1672	137	17	32	32	NUM
ap-1672	137	18	]	]	PUNCT
ap-1672	137	19	,	,	PUNCT
ap-1672	137	20	we	we	PRON
ap-1672	137	21	assume	assume	VERB
ap-1672	137	22	that	that	SCONJ
ap-1672	137	23	an	an	DET
ap-1672	137	24	increase	increase	NOUN
ap-1672	137	25	in	in	ADP
ap-1672	137	26	the	the	DET
ap-1672	137	27	c	c	PROPN
ap-1672	137	28	-	-	PUNCT
ap-1672	137	29	s	s	NOUN
ap-1672	137	30	-	-	PUNCT
ap-1672	137	31	h	h	NOUN
ap-1672	137	32	gel	gel	NOUN
ap-1672	137	33	volume	volume	NOUN
ap-1672	137	34	fraction	fraction	NOUN
ap-1672	137	35	(	(	PUNCT
ap-1672	137	36	∆c(3	∆c(3	NOUN
ap-1672	137	37	)	)	PUNCT
ap-1672	137	38	)	)	PUNCT
ap-1672	137	39	is	be	AUX
ap-1672	137	40	compensated	compensate	VERB
ap-1672	137	41	by	by	ADP
ap-1672	137	42	the	the	DET
ap-1672	137	43	corresponding	corresponding	ADJ
ap-1672	137	44	changes	change	NOUN
ap-1672	137	45	for	for	ADP
ap-1672	137	46	matrix	matrix	NOUN
ap-1672	137	47	(	(	PUNCT
ap-1672	137	48	∆c(0	∆c(0	NOUN
ap-1672	137	49	)	)	PUNCT
ap-1672	137	50	)	)	PUNCT
ap-1672	137	51	,	,	PUNCT
ap-1672	137	52	voids	voids	NOUN
ap-1672	137	53	(	(	PUNCT
ap-1672	137	54	∆c(1	∆c(1	NOUN
ap-1672	137	55	)	)	PUNCT
ap-1672	137	56	)	)	PUNCT
ap-1672	137	57	,	,	PUNCT
ap-1672	137	58	and	and	CCONJ
ap-1672	137	59	clay	clay	NOUN
ap-1672	137	60	bricks	brick	NOUN
ap-1672	137	61	(	(	PUNCT
ap-1672	137	62	∆c(2	∆c(2	NOUN
ap-1672	137	63	)	)	PUNCT
ap-1672	137	64	)	)	PUNCT
ap-1672	137	65	,	,	PUNCT
ap-1672	137	66	so	so	SCONJ
ap-1672	137	67	that	that	SCONJ
ap-1672	137	68	∆c(0	∆c(0	NOUN
ap-1672	137	69	)	)	PUNCT
ap-1672	137	70	+	+	PUNCT
ap-1672	137	71	∆c(1	∆c(1	NOUN
ap-1672	137	72	)	)	PUNCT
ap-1672	137	73	+	+	X
ap-1672	137	74	∆c(2	∆c(2	NUM
ap-1672	137	75	)	)	PUNCT
ap-1672	137	76	+	+	NUM
ap-1672	137	77	∆c(3	∆c(3	NOUN
ap-1672	137	78	)	)	PUNCT
ap-1672	137	79	=	=	SYM
ap-1672	137	80	0	0	NUM
ap-1672	137	81	,	,	PUNCT
ap-1672	137	82	where	where	SCONJ
ap-1672	137	83	we	we	PRON
ap-1672	137	84	set	set	VERB
ap-1672	137	85	for	for	ADP
ap-1672	137	86	simplicity	simplicity	NOUN
ap-1672	137	87	∆c(1	∆c(1	NOUN
ap-1672	137	88	)	)	PUNCT
ap-1672	137	89	=	=	SYM
ap-1672	137	90	∆c(2	∆c(2	PROPN
ap-1672	137	91	)	)	PUNCT
ap-1672	137	92	=	=	SYM
ap-1672	137	93	∆c(3	∆c(3	NOUN
ap-1672	137	94	)	)	PUNCT
ap-1672	137	95	.	.	PUNCT
ap-1672	138	1	by	by	ADP
ap-1672	138	2	analogy	analogy	NOUN
ap-1672	138	3	,	,	PUNCT
ap-1672	138	4	the	the	DET
ap-1672	138	5	increase	increase	NOUN
ap-1672	138	6	in	in	ADP
ap-1672	138	7	the	the	DET
ap-1672	138	8	volume	volume	NOUN
ap-1672	138	9	fraction	fraction	NOUN
ap-1672	138	10	of	of	ADP
ap-1672	138	11	itz	itz	PROPN
ap-1672	138	12	corresponds	correspond	VERB
ap-1672	138	13	to	to	ADP
ap-1672	138	14	the	the	DET
ap-1672	138	15	decrease	decrease	NOUN
ap-1672	138	16	in	in	ADP
ap-1672	138	17	volume	volume	NOUN
ap-1672	138	18	of	of	ADP
ap-1672	138	19	the	the	DET
ap-1672	138	20	matrix	matrix	NOUN
ap-1672	138	21	phase	phase	NOUN
ap-1672	138	22	:	:	PUNCT
ap-1672	138	23	∆c(0	∆c(0	X
ap-1672	138	24	)	)	PUNCT
ap-1672	138	25	+	+	NUM
ap-1672	138	26	∆c(5	∆c(5	NOUN
ap-1672	138	27	)	)	PUNCT
ap-1672	138	28	=	=	NOUN
ap-1672	139	1	0	0	X
ap-1672	139	2	.	.	PUNCT
ap-1672	140	1	in	in	ADP
ap-1672	140	2	the	the	DET
ap-1672	140	3	strength	strength	NOUN
ap-1672	140	4	estimates	estimate	NOUN
ap-1672	140	5	,	,	PUNCT
ap-1672	140	6	the	the	DET
ap-1672	140	7	imposed	impose	VERB
ap-1672	140	8	loading	loading	NOUN
ap-1672	140	9	simulates	simulate	NOUN
ap-1672	140	10	the	the	DET
ap-1672	140	11	uniaxial	uniaxial	ADJ
ap-1672	140	12	compression	compression	NOUN
ap-1672	140	13	test	test	NOUN
ap-1672	140	14	,	,	PUNCT
ap-1672	140	15	for	for	ADP
ap-1672	140	16	which	which	PRON
ap-1672	140	17	σ	σ	NOUN
ap-1672	140	18	=	=	PUNCT
ap-1672	141	1	[	[	X
ap-1672	141	2	−1	−1	NOUN
ap-1672	141	3	,	,	PUNCT
ap-1672	141	4	0	0	NUM
ap-1672	141	5	,	,	PUNCT
ap-1672	141	6	0	0	NUM
ap-1672	141	7	,	,	PUNCT
ap-1672	141	8	0	0	NUM
ap-1672	141	9	,	,	PUNCT
ap-1672	141	10	0	0	NUM
ap-1672	141	11	,	,	PUNCT
ap-1672	141	12	0]t	0]t	NOUN
ap-1672	141	13	and	and	CCONJ
ap-1672	141	14	the	the	DET
ap-1672	141	15	average	average	ADJ
ap-1672	141	16	strain	strain	NOUN
ap-1672	141	17	follows	follow	VERB
ap-1672	141	18	from	from	ADP
ap-1672	141	19	e	e	X
ap-1672	141	20	=	=	PUNCT
ap-1672	141	21	(	(	PUNCT
ap-1672	141	22	leff)−1σ	leff)−1σ	PROPN
ap-1672	141	23	.	.	PUNCT
ap-1672	142	1	we	we	PRON
ap-1672	142	2	assume	assume	VERB
ap-1672	142	3	that	that	SCONJ
ap-1672	142	4	itz	itz	PROPN
ap-1672	142	5	is	be	AUX
ap-1672	142	6	the	the	DET
ap-1672	142	7	weakest	weak	ADJ
ap-1672	142	8	phase	phase	NOUN
ap-1672	142	9	,	,	PUNCT
ap-1672	142	10	i.e.	i.e.	X
ap-1672	142	11	w	w	NOUN
ap-1672	142	12	=	=	SYM
ap-1672	142	13	5	5	NUM
ap-1672	142	14	in	in	ADP
ap-1672	142	15	eq	eq	ADP
ap-1672	142	16	.	.	PUNCT
ap-1672	143	1	(	(	PUNCT
ap-1672	143	2	10	10	NUM
ap-1672	143	3	)	)	PUNCT
ap-1672	143	4	,	,	PUNCT
ap-1672	143	5	and	and	CCONJ
ap-1672	143	6	,	,	PUNCT
ap-1672	143	7	similarly	similarly	ADV
ap-1672	143	8	to	to	ADP
ap-1672	143	9	[	[	X
ap-1672	143	10	27	27	NUM
ap-1672	143	11	]	]	PUNCT
ap-1672	143	12	,	,	PUNCT
ap-1672	143	13	we	we	PRON
ap-1672	143	14	estimate	estimate	VERB
ap-1672	143	15	the	the	DET
ap-1672	143	16	derivative	derivative	NOUN
ap-1672	143	17	in	in	ADP
ap-1672	143	18	eq	eq	ADP
ap-1672	143	19	.	.	PUNCT
ap-1672	144	1	(	(	PUNCT
ap-1672	144	2	9	9	NUM
ap-1672	144	3	)	)	PUNCT
ap-1672	144	4	by	by	ADP
ap-1672	144	5	the	the	DET
ap-1672	144	6	forward	forward	ADJ
ap-1672	144	7	difference	difference	NOUN
ap-1672	144	8	with	with	ADP
ap-1672	144	9	a	a	DET
ap-1672	144	10	step	step	NOUN
ap-1672	144	11	size	size	NOUN
ap-1672	144	12	of	of	ADP
ap-1672	144	13	∆g(5	∆g(5	PROPN
ap-1672	144	14	)	)	PUNCT
ap-1672	144	15	=	=	SYM
ap-1672	144	16	1	1	NUM
ap-1672	144	17	pa.1	pa.1	NOUN
ap-1672	144	18	1our	1our	NUM
ap-1672	144	19	results	result	NOUN
ap-1672	144	20	are	be	AUX
ap-1672	144	21	reproducible	reproducible	ADJ
ap-1672	144	22	with	with	ADP
ap-1672	144	23	a	a	DET
ap-1672	144	24	matlab	matlab	PROPN
ap-1672	144	25	code	code	PROPN
ap-1672	144	26	homogenizator	homogenizator	PROPN
ap-1672	144	27	mt	mt	PROPN
ap-1672	144	28	,	,	PUNCT
ap-1672	144	29	freely	freely	ADV
ap-1672	144	30	available	available	ADJ
ap-1672	144	31	at	at	ADP
ap-1672	144	32	http://mech.fsv.cvut	http://mech.fsv.cvut	PROPN
ap-1672	144	33	.	.	PUNCT
ap-1672	144	34	cz/~nezerka	cz/~nezerka	ADV
ap-1672	144	35	/	/	SYM
ap-1672	144	36	software	software	NOUN
ap-1672	144	37	.	.	PUNCT
ap-1672	145	1	32	32	NUM
ap-1672	145	2	acta	acta	PROPN
ap-1672	145	3	polytechnica	polytechnica	PROPN
ap-1672	145	4	vol	vol	NOUN
ap-1672	145	5	.	.	PROPN
ap-1672	146	1	52	52	NUM
ap-1672	146	2	no	no	NOUN
ap-1672	146	3	.	.	PUNCT
ap-1672	147	1	6/2012	6/2012	NUM
ap-1672	147	2	0	0	NUM
ap-1672	147	3	10	10	NUM
ap-1672	147	4	20	20	NUM
ap-1672	147	5	30	30	NUM
ap-1672	147	6	40	40	NUM
ap-1672	147	7	50	50	NUM
ap-1672	147	8	60	60	NUM
ap-1672	147	9	70	70	NUM
ap-1672	147	10	80	80	NUM
ap-1672	147	11	0.75	0.75	NUM
ap-1672	147	12	0.8	0.8	NUM
ap-1672	147	13	0.85	0.85	NUM
ap-1672	147	14	0.9	0.9	NUM
ap-1672	147	15	0.95	0.95	NUM
ap-1672	147	16	1	1	NUM
ap-1672	147	17	c	c	X
ap-1672	147	18	-	-	PUNCT
ap-1672	147	19	s	s	NOUN
ap-1672	147	20	-	-	PUNCT
ap-1672	147	21	h	h	NOUN
ap-1672	147	22	coating	coat	VERB
ap-1672	147	23	thickness	thickness	NOUN
ap-1672	147	24	t	t	PROPN
ap-1672	147	25	[	[	X
ap-1672	147	26	µm	µm	X
ap-1672	147	27	]	]	X
ap-1672	147	28	a	a	DET
ap-1672	147	29	(	(	PUNCT
ap-1672	147	30	2	2	NUM
ap-1672	147	31	)	)	PUNCT
ap-1672	147	32	d	d	PROPN
ap-1672	147	33	il	il	PROPN
ap-1672	147	34	(	(	PUNCT
ap-1672	147	35	t	t	PROPN
ap-1672	147	36	)	)	PUNCT
ap-1672	147	37	/	/	SYM
ap-1672	147	38	a	a	DET
ap-1672	147	39	(	(	PUNCT
ap-1672	147	40	2	2	NUM
ap-1672	147	41	)	)	PUNCT
ap-1672	147	42	d	d	PROPN
ap-1672	147	43	il	il	PROPN
ap-1672	147	44	(	(	PUNCT
ap-1672	147	45	0	0	NUM
ap-1672	147	46	)	)	PUNCT
ap-1672	147	47	volumetric	volumetric	NOUN
ap-1672	147	48	part	part	NOUN
ap-1672	147	49	deviatoric	deviatoric	ADJ
ap-1672	147	50	part	part	NOUN
ap-1672	147	51	0	0	NUM
ap-1672	147	52	10	10	NUM
ap-1672	147	53	20	20	NUM
ap-1672	147	54	30	30	NUM
ap-1672	147	55	40	40	NUM
ap-1672	147	56	50	50	NUM
ap-1672	147	57	60	60	NUM
ap-1672	147	58	70	70	NUM
ap-1672	147	59	80	80	NUM
ap-1672	147	60	0.75	0.75	NUM
ap-1672	147	61	0.8	0.8	NUM
ap-1672	147	62	0.85	0.85	NUM
ap-1672	147	63	0.9	0.9	NUM
ap-1672	147	64	0.95	0.95	NUM
ap-1672	147	65	1	1	NUM
ap-1672	147	66	itz	itz	NOUN
ap-1672	147	67	coating	coat	VERB
ap-1672	148	1	thickness	thickness	NOUN
ap-1672	148	2	t	t	PROPN
ap-1672	149	1	[	[	X
ap-1672	149	2	µm	µm	X
ap-1672	149	3	]	]	X
ap-1672	149	4	a	a	DET
ap-1672	149	5	(	(	PUNCT
ap-1672	149	6	4	4	NUM
ap-1672	149	7	)	)	PUNCT
ap-1672	149	8	d	d	PROPN
ap-1672	149	9	il	il	PROPN
ap-1672	149	10	(	(	PUNCT
ap-1672	149	11	t	t	PROPN
ap-1672	149	12	)	)	PUNCT
ap-1672	149	13	/	/	SYM
ap-1672	150	1	a	a	DET
ap-1672	150	2	(	(	PUNCT
ap-1672	150	3	4	4	NUM
ap-1672	150	4	)	)	PUNCT
ap-1672	150	5	d	d	PROPN
ap-1672	150	6	il	il	PROPN
ap-1672	150	7	(	(	PUNCT
ap-1672	150	8	0	0	NUM
ap-1672	150	9	)	)	PUNCT
ap-1672	150	10	volumetric	volumetric	NOUN
ap-1672	150	11	part	part	NOUN
ap-1672	150	12	deviatoric	deviatoric	ADJ
ap-1672	150	13	part	part	NOUN
ap-1672	150	14	(	(	PUNCT
ap-1672	150	15	a	a	NOUN
ap-1672	150	16	)	)	PUNCT
ap-1672	150	17	(	(	PUNCT
ap-1672	150	18	b	b	X
ap-1672	150	19	)	)	PUNCT
ap-1672	150	20	figure	figure	NOUN
ap-1672	150	21	3	3	NUM
ap-1672	150	22	:	:	PUNCT
ap-1672	150	23	influence	influence	NOUN
ap-1672	150	24	of	of	ADP
ap-1672	150	25	the	the	DET
ap-1672	150	26	coating	coat	VERB
ap-1672	150	27	thickness	thickness	NOUN
ap-1672	150	28	on	on	ADP
ap-1672	150	29	the	the	DET
ap-1672	150	30	dilute	dilute	ADJ
ap-1672	150	31	concentration	concentration	NOUN
ap-1672	150	32	factors	factor	NOUN
ap-1672	150	33	for	for	ADP
ap-1672	150	34	(	(	PUNCT
ap-1672	150	35	a	a	PRON
ap-1672	150	36	)	)	PUNCT
ap-1672	150	37	brick	brick	NOUN
ap-1672	150	38	and	and	CCONJ
ap-1672	150	39	(	(	PUNCT
ap-1672	150	40	b	b	NOUN
ap-1672	150	41	)	)	PUNCT
ap-1672	150	42	sand	sand	NOUN
ap-1672	150	43	particles	particle	NOUN
ap-1672	150	44	.	.	PUNCT
ap-1672	151	1	the	the	DET
ap-1672	151	2	vertical	vertical	ADJ
ap-1672	151	3	lines	line	NOUN
ap-1672	151	4	refer	refer	VERB
ap-1672	151	5	to	to	ADP
ap-1672	151	6	the	the	DET
ap-1672	151	7	default	default	NOUN
ap-1672	151	8	thicknesses	thickness	NOUN
ap-1672	151	9	that	that	PRON
ap-1672	151	10	are	be	AUX
ap-1672	151	11	kept	keep	VERB
ap-1672	151	12	constant	constant	ADJ
ap-1672	151	13	in	in	ADP
ap-1672	151	14	the	the	DET
ap-1672	151	15	remaining	remain	VERB
ap-1672	151	16	sensitivity	sensitivity	NOUN
ap-1672	151	17	analyses	analysis	NOUN
ap-1672	151	18	.	.	PUNCT
ap-1672	152	1	0	0	NUM
ap-1672	153	1	10	10	NUM
ap-1672	153	2	20	20	NUM
ap-1672	153	3	30	30	NUM
ap-1672	153	4	40	40	NUM
ap-1672	153	5	50	50	NUM
ap-1672	153	6	1000	1000	NUM
ap-1672	153	7	2000	2000	NUM
ap-1672	153	8	3000	3000	NUM
ap-1672	153	9	4000	4000	NUM
ap-1672	153	10	5000	5000	NUM
ap-1672	153	11	porosity	porosity	NOUN
ap-1672	153	12	c	c	NOUN
ap-1672	153	13	(	(	PUNCT
ap-1672	153	14	1	1	NUM
ap-1672	153	15	)	)	PUNCT
ap-1672	154	1	[	[	X
ap-1672	154	2	%	%	X
ap-1672	154	3	]	]	X
ap-1672	154	4	e	e	X
ap-1672	154	5	e	e	X
ap-1672	154	6	ff	ff	NOUN
ap-1672	155	1	[	[	X
ap-1672	155	2	m	m	X
ap-1672	155	3	p	p	X
ap-1672	155	4	a	a	X
ap-1672	155	5	]	]	SYM
ap-1672	155	6	0	0	NUM
ap-1672	155	7	10	10	NUM
ap-1672	155	8	20	20	NUM
ap-1672	155	9	30	30	NUM
ap-1672	155	10	40	40	NUM
ap-1672	155	11	50	50	NUM
ap-1672	155	12	0.4	0.4	NUM
ap-1672	155	13	0.5	0.5	NUM
ap-1672	155	14	0.6	0.6	NUM
ap-1672	155	15	0.7	0.7	NUM
ap-1672	155	16	0.8	0.8	NUM
ap-1672	155	17	0.9	0.9	NUM
ap-1672	155	18	1	1	NUM
ap-1672	155	19	porosity	porosity	NOUN
ap-1672	155	20	c(1	c(1	NOUN
ap-1672	155	21	)	)	PUNCT
ap-1672	156	1	[	[	X
ap-1672	156	2	%	%	X
ap-1672	156	3	]	]	X
ap-1672	156	4	f	f	X
ap-1672	156	5	c	c	X
ap-1672	156	6	(	(	PUNCT
ap-1672	156	7	c	c	X
ap-1672	156	8	(	(	PUNCT
ap-1672	156	9	1	1	NUM
ap-1672	156	10	)	)	PUNCT
ap-1672	156	11	)	)	PUNCT
ap-1672	156	12	/	/	PUNCT
ap-1672	157	1	f	f	X
ap-1672	157	2	c	c	X
ap-1672	157	3	(	(	PUNCT
ap-1672	157	4	0	0	NUM
ap-1672	157	5	)	)	PUNCT
ap-1672	157	6	(	(	PUNCT
ap-1672	157	7	a	a	X
ap-1672	157	8	)	)	PUNCT
ap-1672	157	9	(	(	PUNCT
ap-1672	157	10	b	b	X
ap-1672	157	11	)	)	PUNCT
ap-1672	157	12	figure	figure	NOUN
ap-1672	157	13	4	4	NUM
ap-1672	157	14	:	:	PUNCT
ap-1672	157	15	(	(	PUNCT
ap-1672	157	16	a	a	X
ap-1672	157	17	)	)	PUNCT
ap-1672	157	18	stiffness	stiffness	NOUN
ap-1672	157	19	-	-	PUNCT
ap-1672	157	20	porosity	porosity	NOUN
ap-1672	157	21	and	and	CCONJ
ap-1672	157	22	(	(	PUNCT
ap-1672	157	23	b	b	NOUN
ap-1672	157	24	)	)	PUNCT
ap-1672	157	25	strength	strength	NOUN
ap-1672	157	26	-	-	PUNCT
ap-1672	157	27	porosity	porosity	NOUN
ap-1672	157	28	relations	relation	NOUN
ap-1672	157	29	.	.	PUNCT
ap-1672	158	1	3.1	3.1	NUM
ap-1672	158	2	effect	effect	NOUN
ap-1672	158	3	of	of	ADP
ap-1672	158	4	coatings	coating	NOUN
ap-1672	158	5	the	the	DET
ap-1672	158	6	first	first	ADJ
ap-1672	158	7	aspect	aspect	NOUN
ap-1672	158	8	that	that	PRON
ap-1672	158	9	we	we	PRON
ap-1672	158	10	would	would	AUX
ap-1672	158	11	like	like	VERB
ap-1672	158	12	to	to	PART
ap-1672	158	13	discuss	discuss	VERB
ap-1672	158	14	is	be	AUX
ap-1672	158	15	the	the	DET
ap-1672	158	16	effect	effect	NOUN
ap-1672	158	17	of	of	ADP
ap-1672	158	18	the	the	DET
ap-1672	158	19	coating	coating	NOUN
ap-1672	158	20	on	on	ADP
ap-1672	158	21	the	the	DET
ap-1672	158	22	dilute	dilute	ADJ
ap-1672	158	23	concentration	concentration	NOUN
ap-1672	158	24	factors	factor	NOUN
ap-1672	158	25	of	of	ADP
ap-1672	158	26	the	the	DET
ap-1672	158	27	brick	brick	NOUN
ap-1672	158	28	and	and	CCONJ
ap-1672	158	29	sand	sand	NOUN
ap-1672	158	30	particles	particle	NOUN
ap-1672	158	31	.	.	PUNCT
ap-1672	159	1	fig	fig	NOUN
ap-1672	159	2	.	.	PUNCT
ap-1672	160	1	3	3	NUM
ap-1672	160	2	demonstrates	demonstrate	VERB
ap-1672	160	3	that	that	SCONJ
ap-1672	160	4	,	,	PUNCT
ap-1672	160	5	in	in	ADP
ap-1672	160	6	terms	term	NOUN
ap-1672	160	7	of	of	ADP
ap-1672	160	8	the	the	DET
ap-1672	160	9	volumetric	volumetric	NOUN
ap-1672	160	10	phase	phase	NOUN
ap-1672	160	11	strains	strain	VERB
ap-1672	160	12	,	,	PUNCT
ap-1672	160	13	the	the	DET
ap-1672	160	14	effects	effect	NOUN
ap-1672	160	15	of	of	ADP
ap-1672	160	16	c	c	NOUN
ap-1672	160	17	-	-	PUNCT
ap-1672	160	18	s	s	NOUN
ap-1672	160	19	-	-	NOUN
ap-1672	160	20	h	h	NOUN
ap-1672	160	21	and	and	CCONJ
ap-1672	160	22	itz	itz	PROPN
ap-1672	160	23	are	be	AUX
ap-1672	160	24	comparable	comparable	ADJ
ap-1672	160	25	,	,	PUNCT
ap-1672	160	26	despite	despite	SCONJ
ap-1672	160	27	the	the	DET
ap-1672	160	28	fact	fact	NOUN
ap-1672	160	29	that	that	SCONJ
ap-1672	160	30	the	the	DET
ap-1672	160	31	c	c	PROPN
ap-1672	160	32	-	-	PUNCT
ap-1672	160	33	s	s	NOUN
ap-1672	160	34	-	-	PUNCT
ap-1672	160	35	h	h	NOUN
ap-1672	160	36	is	be	AUX
ap-1672	160	37	stiffer	stiff	ADJ
ap-1672	160	38	and	and	CCONJ
ap-1672	160	39	itz	itz	PROPN
ap-1672	160	40	is	be	AUX
ap-1672	160	41	more	more	ADV
ap-1672	160	42	compliant	compliant	ADJ
ap-1672	160	43	than	than	ADP
ap-1672	160	44	the	the	DET
ap-1672	160	45	matrix	matrix	NOUN
ap-1672	160	46	phase	phase	NOUN
ap-1672	160	47	.	.	PUNCT
ap-1672	161	1	the	the	DET
ap-1672	161	2	differences	difference	NOUN
ap-1672	161	3	in	in	ADP
ap-1672	161	4	the	the	DET
ap-1672	161	5	deviatoric	deviatoric	ADJ
ap-1672	161	6	part	part	NOUN
ap-1672	161	7	,	,	PUNCT
ap-1672	161	8	which	which	PRON
ap-1672	161	9	drive	drive	VERB
ap-1672	161	10	the	the	DET
ap-1672	161	11	strength	strength	NOUN
ap-1672	161	12	estimates	estimate	NOUN
ap-1672	161	13	according	accord	VERB
ap-1672	161	14	to	to	ADP
ap-1672	161	15	eq	eq	PROPN
ap-1672	161	16	.	.	PUNCT
ap-1672	162	1	(	(	PUNCT
ap-1672	162	2	10	10	NUM
ap-1672	162	3	)	)	PUNCT
ap-1672	162	4	,	,	PUNCT
ap-1672	162	5	become	become	VERB
ap-1672	162	6	more	more	ADV
ap-1672	162	7	pronounced	pronounced	ADJ
ap-1672	162	8	with	with	ADP
ap-1672	162	9	the	the	DET
ap-1672	162	10	increasing	increase	VERB
ap-1672	162	11	thickness	thickness	NOUN
ap-1672	162	12	.	.	PUNCT
ap-1672	163	1	this	this	PRON
ap-1672	163	2	indicates	indicate	VERB
ap-1672	163	3	that	that	SCONJ
ap-1672	163	4	the	the	DET
ap-1672	163	5	contribution	contribution	NOUN
ap-1672	163	6	of	of	ADP
ap-1672	163	7	brick	brick	NOUN
ap-1672	163	8	and	and	CCONJ
ap-1672	163	9	sand	sand	NOUN
ap-1672	163	10	particles	particle	NOUN
ap-1672	163	11	to	to	ADP
ap-1672	163	12	the	the	DET
ap-1672	163	13	overall	overall	ADJ
ap-1672	163	14	properties	property	NOUN
ap-1672	163	15	might	might	AUX
ap-1672	163	16	still	still	ADV
ap-1672	163	17	be	be	AUX
ap-1672	163	18	different	different	ADJ
ap-1672	163	19	,	,	PUNCT
ap-1672	163	20	after	after	ADP
ap-1672	163	21	accounting	accounting	NOUN
ap-1672	163	22	phase	phase	NOUN
ap-1672	163	23	properties	property	NOUN
ap-1672	163	24	and	and	CCONJ
ap-1672	163	25	their	their	PRON
ap-1672	163	26	interaction	interaction	NOUN
ap-1672	163	27	,	,	PUNCT
ap-1672	163	28	see	see	VERB
ap-1672	163	29	section	section	NOUN
ap-1672	163	30	3.3	3.3	NUM
ap-1672	163	31	for	for	ADP
ap-1672	163	32	a	a	DET
ap-1672	163	33	further	further	ADJ
ap-1672	163	34	discussion	discussion	NOUN
ap-1672	163	35	.	.	PUNCT
ap-1672	164	1	3.2	3.2	NUM
ap-1672	164	2	influence	influence	NOUN
ap-1672	164	3	of	of	ADP
ap-1672	164	4	porosity	porosity	NOUN
ap-1672	164	5	by	by	ADP
ap-1672	164	6	analogy	analogy	NOUN
ap-1672	164	7	with	with	ADP
ap-1672	164	8	the	the	DET
ap-1672	164	9	cement	cement	NOUN
ap-1672	164	10	pastes	paste	NOUN
ap-1672	164	11	,	,	PUNCT
ap-1672	164	12	porosity	porosity	NOUN
ap-1672	164	13	has	have	VERB
ap-1672	164	14	a	a	DET
ap-1672	164	15	major	major	ADJ
ap-1672	164	16	influence	influence	NOUN
ap-1672	164	17	on	on	ADP
ap-1672	164	18	the	the	DET
ap-1672	164	19	overall	overall	ADJ
ap-1672	164	20	properties	property	NOUN
ap-1672	164	21	of	of	ADP
ap-1672	164	22	lime	lime	NOUN
ap-1672	164	23	-	-	PUNCT
ap-1672	164	24	based	base	VERB
ap-1672	164	25	mortars	mortar	NOUN
ap-1672	164	26	.	.	PUNCT
ap-1672	165	1	this	this	PRON
ap-1672	165	2	is	be	AUX
ap-1672	165	3	confirmed	confirm	VERB
ap-1672	165	4	by	by	ADP
ap-1672	165	5	the	the	DET
ap-1672	165	6	results	result	NOUN
ap-1672	165	7	of	of	ADP
ap-1672	165	8	the	the	DET
ap-1672	165	9	proposed	propose	VERB
ap-1672	165	10	model	model	NOUN
ap-1672	165	11	,	,	PUNCT
ap-1672	165	12	shown	show	VERB
ap-1672	165	13	in	in	ADP
ap-1672	165	14	fig	fig	NOUN
ap-1672	165	15	.	.	PUNCT
ap-1672	166	1	4	4	NUM
ap-1672	166	2	.	.	X
ap-1672	166	3	as	as	ADP
ap-1672	166	4	for	for	ADP
ap-1672	166	5	the	the	DET
ap-1672	166	6	overall	overall	ADJ
ap-1672	166	7	stiffness	stiffness	NOUN
ap-1672	166	8	,	,	PUNCT
ap-1672	166	9	for	for	ADP
ap-1672	166	10	the	the	DET
ap-1672	166	11	realistic	realistic	ADJ
ap-1672	166	12	range	range	NOUN
ap-1672	166	13	of	of	ADP
ap-1672	166	14	porosities	porosity	NOUN
ap-1672	166	15	of	of	ADP
ap-1672	166	16	25	25	NUM
ap-1672	166	17	–	–	SYM
ap-1672	166	18	40	40	NUM
ap-1672	166	19	%	%	NOUN
ap-1672	167	1	[	[	X
ap-1672	167	2	8	8	NUM
ap-1672	167	3	]	]	PUNCT
ap-1672	167	4	,	,	PUNCT
ap-1672	167	5	the	the	DET
ap-1672	167	6	estimates	estimate	NOUN
ap-1672	167	7	(	(	PUNCT
ap-1672	167	8	7	7	X
ap-1672	167	9	)	)	PUNCT
ap-1672	167	10	predict	predict	VERB
ap-1672	167	11	young	young	ADJ
ap-1672	167	12	modulus	modulus	ADJ
ap-1672	167	13	values	value	NOUN
ap-1672	167	14	between	between	ADP
ap-1672	167	15	≈	≈	PROPN
ap-1672	167	16	2	2	NUM
ap-1672	167	17	,	,	PUNCT
ap-1672	167	18	000	000	NUM
ap-1672	167	19	and	and	CCONJ
ap-1672	167	20	1	1	NUM
ap-1672	167	21	,	,	PUNCT
ap-1672	167	22	000	000	NUM
ap-1672	167	23	mpa	mpa	NOUN
ap-1672	167	24	.	.	PUNCT
ap-1672	168	1	this	this	PRON
ap-1672	168	2	is	be	AUX
ap-1672	168	3	consistent	consistent	ADJ
ap-1672	168	4	with	with	ADP
ap-1672	168	5	the	the	DET
ap-1672	168	6	values	value	NOUN
ap-1672	168	7	reported	report	VERB
ap-1672	168	8	in	in	ADP
ap-1672	168	9	[	[	X
ap-1672	168	10	3	3	NUM
ap-1672	168	11	]	]	X
ap-1672	168	12	historic	historic	ADJ
ap-1672	168	13	lime	lime	NOUN
ap-1672	168	14	mortars	mortar	NOUN
ap-1672	168	15	(	(	PUNCT
ap-1672	168	16	without	without	ADP
ap-1672	168	17	pozzolan	pozzolan	NOUN
ap-1672	168	18	admixtures	admixture	NOUN
ap-1672	168	19	)	)	PUNCT
ap-1672	168	20	.	.	PUNCT
ap-1672	169	1	as	as	ADP
ap-1672	169	2	for	for	ADP
ap-1672	169	3	the	the	DET
ap-1672	169	4	strength	strength	NOUN
ap-1672	169	5	estimates	estimate	NOUN
ap-1672	169	6	,	,	PUNCT
ap-1672	169	7	it	it	PRON
ap-1672	169	8	follows	follow	VERB
ap-1672	169	9	from	from	ADP
ap-1672	169	10	fig	fig	NOUN
ap-1672	169	11	.	.	PUNCT
ap-1672	170	1	4	4	NUM
ap-1672	170	2	(	(	PUNCT
ap-1672	170	3	b	b	NOUN
ap-1672	170	4	)	)	PUNCT
ap-1672	170	5	that	that	PRON
ap-1672	170	6	they	they	PRON
ap-1672	170	7	reproduce	reproduce	VERB
ap-1672	170	8	a	a	DET
ap-1672	170	9	power	power	NOUN
ap-1672	170	10	-	-	PUNCT
ap-1672	170	11	law	law	NOUN
ap-1672	170	12	relation	relation	NOUN
ap-1672	171	1	[	[	X
ap-1672	171	2	23	23	NUM
ap-1672	171	3	,	,	PUNCT
ap-1672	171	4	p.	p.	NOUN
ap-1672	171	5	280	280	NUM
ap-1672	171	6	]	]	SYM
ap-1672	171	7	fc(c(1	fc(c(1	NUM
ap-1672	171	8	)	)	PUNCT
ap-1672	171	9	)	)	PUNCT
ap-1672	172	1	=	=	PUNCT
ap-1672	172	2	fc(0)(1−	fc(0)(1−	ADJ
ap-1672	172	3	c(1))n	c(1))n	NOUN
ap-1672	172	4	,	,	PUNCT
ap-1672	172	5	(	(	PUNCT
ap-1672	172	6	11	11	NUM
ap-1672	172	7	)	)	PUNCT
ap-1672	172	8	with	with	ADP
ap-1672	172	9	n	n	PROPN
ap-1672	172	10	.=	.=	NOUN
ap-1672	172	11	1.04	1.04	NUM
ap-1672	172	12	,	,	PUNCT
ap-1672	172	13	yielding	yield	VERB
ap-1672	172	14	practically	practically	ADV
ap-1672	172	15	the	the	DET
ap-1672	172	16	linear	linear	ADJ
ap-1672	172	17	strengthporosity	strengthporosity	NOUN
ap-1672	172	18	scaling	scale	VERB
ap-1672	172	19	.	.	PUNCT
ap-1672	173	1	unfortunately	unfortunately	ADV
ap-1672	173	2	,	,	PUNCT
ap-1672	173	3	we	we	PRON
ap-1672	173	4	are	be	AUX
ap-1672	173	5	currently	currently	ADV
ap-1672	173	6	unable	unable	ADJ
ap-1672	173	7	to	to	PART
ap-1672	173	8	validate	validate	VERB
ap-1672	173	9	this	this	DET
ap-1672	173	10	prediction	prediction	NOUN
ap-1672	173	11	against	against	ADP
ap-1672	173	12	experiments	experiment	NOUN
ap-1672	173	13	;	;	PUNCT
ap-1672	173	14	the	the	DET
ap-1672	173	15	only	only	ADJ
ap-1672	173	16	available	available	ADJ
ap-1672	173	17	work	work	NOUN
ap-1672	173	18	we	we	PRON
ap-1672	173	19	are	be	AUX
ap-1672	173	20	aware	aware	ADJ
ap-1672	173	21	of	of	ADP
ap-1672	173	22	by	by	ADP
ap-1672	173	23	papayianni	papayianni	NOUN
ap-1672	173	24	and	and	CCONJ
ap-1672	173	25	stefanidou	stefanidou	ADJ
ap-1672	173	26	[	[	X
ap-1672	173	27	25	25	NUM
ap-1672	173	28	]	]	PUNCT
ap-1672	173	29	does	do	AUX
ap-1672	173	30	not	not	PART
ap-1672	173	31	contain	contain	VERB
ap-1672	173	32	enough	enough	ADJ
ap-1672	173	33	data	datum	NOUN
ap-1672	173	34	.	.	PUNCT
ap-1672	174	1	still	still	ADV
ap-1672	174	2	,	,	PUNCT
ap-1672	174	3	eq	eq	ADJ
ap-1672	174	4	.	.	PUNCT
ap-1672	175	1	(	(	PUNCT
ap-1672	175	2	11	11	NUM
ap-1672	175	3	)	)	PUNCT
ap-1672	175	4	complies	complie	NOUN
ap-1672	175	5	with	with	ADP
ap-1672	175	6	the	the	DET
ap-1672	175	7	fact	fact	NOUN
ap-1672	175	8	that	that	SCONJ
ap-1672	175	9	the	the	DET
ap-1672	175	10	influence	influence	NOUN
ap-1672	175	11	of	of	ADP
ap-1672	175	12	porosity	porosity	NOUN
ap-1672	175	13	is	be	AUX
ap-1672	175	14	much	much	ADV
ap-1672	175	15	smaller	small	ADJ
ap-1672	175	16	in	in	ADP
ap-1672	175	17	lime	lime	NOUN
ap-1672	175	18	mortars	mortar	NOUN
ap-1672	175	19	than	than	ADP
ap-1672	175	20	in	in	ADP
ap-1672	175	21	cement	cement	NOUN
ap-1672	175	22	-	-	PUNCT
ap-1672	175	23	based	base	VERB
ap-1672	175	24	materials	material	NOUN
ap-1672	175	25	[	[	X
ap-1672	175	26	15	15	NUM
ap-1672	175	27	,	,	PUNCT
ap-1672	175	28	section	section	NOUN
ap-1672	175	29	2.6	2.6	NUM
ap-1672	175	30	]	]	PUNCT
ap-1672	175	31	,	,	PUNCT
ap-1672	175	32	for	for	ADP
ap-1672	175	33	which	which	PRON
ap-1672	175	34	n	n	NOUN
ap-1672	175	35	≈	≈	PROPN
ap-1672	175	36	3	3	NUM
ap-1672	175	37	is	be	AUX
ap-1672	175	38	typically	typically	ADV
ap-1672	175	39	used	use	VERB
ap-1672	175	40	,	,	PUNCT
ap-1672	175	41	see	see	VERB
ap-1672	175	42	[	[	X
ap-1672	175	43	25	25	NUM
ap-1672	175	44	,	,	PUNCT
ap-1672	175	45	and	and	CCONJ
ap-1672	175	46	references	reference	NOUN
ap-1672	175	47	therein	therein	ADV
ap-1672	175	48	]	]	PUNCT
ap-1672	175	49	.	.	PUNCT
ap-1672	176	1	3.3	3.3	NUM
ap-1672	176	2	size	size	NOUN
ap-1672	176	3	effects	effect	NOUN
ap-1672	176	4	now	now	ADV
ap-1672	176	5	we	we	PRON
ap-1672	176	6	proceed	proceed	VERB
ap-1672	176	7	to	to	PART
ap-1672	176	8	clarify	clarify	VERB
ap-1672	176	9	the	the	DET
ap-1672	176	10	impact	impact	NOUN
ap-1672	176	11	of	of	ADP
ap-1672	176	12	brick	brick	NOUN
ap-1672	176	13	and	and	CCONJ
ap-1672	176	14	sand	sand	NOUN
ap-1672	176	15	particles	particle	NOUN
ap-1672	176	16	on	on	ADP
ap-1672	176	17	the	the	DET
ap-1672	176	18	overall	overall	ADJ
ap-1672	176	19	mechanical	mechanical	ADJ
ap-1672	176	20	properties.2	properties.2	NOUN
ap-1672	176	21	in	in	ADP
ap-1672	176	22	particular	particular	ADJ
ap-1672	176	23	,	,	PUNCT
ap-1672	176	24	when	when	SCONJ
ap-1672	176	25	the	the	DET
ap-1672	176	26	size	size	NOUN
ap-1672	176	27	of	of	ADP
ap-1672	176	28	the	the	DET
ap-1672	176	29	brick	brick	NOUN
ap-1672	176	30	particles	particle	NOUN
ap-1672	176	31	increases	increase	NOUN
ap-1672	176	32	,	,	PUNCT
ap-1672	176	33	the	the	DET
ap-1672	176	34	material	material	NOUN
ap-1672	176	35	becomes	become	VERB
ap-1672	176	36	more	more	ADV
ap-1672	176	37	compliant	compliant	ADJ
ap-1672	176	38	since	since	SCONJ
ap-1672	176	39	the	the	DET
ap-1672	176	40	stiffening	stiffen	VERB
ap-1672	176	41	effect	effect	NOUN
ap-1672	176	42	of	of	ADP
ap-1672	176	43	the	the	DET
ap-1672	176	44	c	c	PROPN
ap-1672	176	45	-	-	PUNCT
ap-1672	176	46	s	s	NOUN
ap-1672	176	47	-	-	PUNCT
ap-1672	176	48	h	h	NOUN
ap-1672	176	49	layer	layer	NOUN
ap-1672	176	50	decreases	decrease	VERB
ap-1672	176	51	,	,	PUNCT
ap-1672	176	52	fig	fig	NOUN
ap-1672	176	53	.	.	PUNCT
ap-1672	177	1	5(a	5(a	NUM
ap-1672	177	2	)	)	PUNCT
ap-1672	177	3	.	.	PUNCT
ap-1672	178	1	this	this	PRON
ap-1672	178	2	also	also	ADV
ap-1672	178	3	increases	increase	VERB
ap-1672	178	4	the	the	DET
ap-1672	178	5	deviatoric	deviatoric	NOUN
ap-1672	178	6	stresses	stress	NOUN
ap-1672	178	7	in	in	ADP
ap-1672	178	8	itz	itz	PROPN
ap-1672	178	9	,	,	PUNCT
ap-1672	178	10	as	as	SCONJ
ap-1672	178	11	manifested	manifest	VERB
ap-1672	178	12	by	by	ADP
ap-1672	178	13	the	the	DET
ap-1672	178	14	strength	strength	NOUN
ap-1672	178	15	reduction	reduction	NOUN
ap-1672	178	16	visible	visible	ADJ
ap-1672	178	17	in	in	ADP
ap-1672	178	18	fig	fig	NOUN
ap-1672	178	19	.	.	PUNCT
ap-1672	179	1	5(b	5(b	NUM
ap-1672	179	2	)	)	PUNCT
ap-1672	179	3	.	.	PUNCT
ap-1672	180	1	these	these	DET
ap-1672	180	2	effects	effect	NOUN
ap-1672	180	3	practically	practically	ADV
ap-1672	180	4	stabilize	stabilize	VERB
ap-1672	180	5	for	for	ADP
ap-1672	180	6	particles	particle	NOUN
ap-1672	180	7	larger	large	ADJ
ap-1672	180	8	than	than	ADP
ap-1672	180	9	0.5	0.5	NUM
ap-1672	180	10	mm	mm	NOUN
ap-1672	180	11	,	,	PUNCT
ap-1672	180	12	and	and	CCONJ
ap-1672	180	13	their	their	PRON
ap-1672	180	14	magnitude	magnitude	NOUN
ap-1672	180	15	is	be	AUX
ap-1672	180	16	rather	rather	ADV
ap-1672	180	17	limited	limited	ADJ
ap-1672	180	18	:	:	PUNCT
ap-1672	180	19	the	the	DET
ap-1672	180	20	stiffness	stiffness	NOUN
ap-1672	180	21	decreases	decrease	VERB
ap-1672	180	22	by	by	ADP
ap-1672	180	23	about	about	ADV
ap-1672	180	24	10	10	NUM
ap-1672	180	25	%	%	NOUN
ap-1672	180	26	and	and	CCONJ
ap-1672	180	27	the	the	DET
ap-1672	180	28	strength	strength	NOUN
ap-1672	180	29	only	only	ADV
ap-1672	180	30	by	by	ADP
ap-1672	180	31	4	4	NUM
ap-1672	180	32	%	%	NOUN
ap-1672	180	33	.	.	PUNCT
ap-1672	181	1	such	such	ADJ
ap-1672	181	2	trends	trend	NOUN
ap-1672	181	3	are	be	AUX
ap-1672	181	4	qualitatively	qualitatively	ADV
ap-1672	181	5	consistent	consistent	ADJ
ap-1672	181	6	with	with	ADP
ap-1672	181	7	the	the	DET
ap-1672	181	8	results	result	NOUN
ap-1672	181	9	presented	present	VERB
ap-1672	181	10	e.g.	e.g.	ADV
ap-1672	181	11	in	in	ADP
ap-1672	181	12	[	[	X
ap-1672	181	13	3	3	NUM
ap-1672	181	14	,	,	PUNCT
ap-1672	181	15	21	21	NUM
ap-1672	181	16	,	,	PUNCT
ap-1672	181	17	29	29	NUM
ap-1672	181	18	]	]	PUNCT
ap-1672	181	19	.	.	PUNCT
ap-1672	182	1	larger	large	ADJ
ap-1672	182	2	sand	sand	NOUN
ap-1672	182	3	particles	particle	NOUN
ap-1672	182	4	,	,	PUNCT
ap-1672	182	5	on	on	ADP
ap-1672	182	6	the	the	DET
ap-1672	182	7	other	other	ADJ
ap-1672	182	8	hand	hand	NOUN
ap-1672	182	9	,	,	PUNCT
ap-1672	182	10	tend	tend	VERB
ap-1672	182	11	to	to	PART
ap-1672	182	12	make	make	VERB
ap-1672	182	13	the	the	DET
ap-1672	182	14	composite	composite	ADJ
ap-1672	182	15	material	material	NOUN
ap-1672	182	16	stiffer	stiff	ADJ
ap-1672	182	17	,	,	PUNCT
ap-1672	182	18	fig	fig	NOUN
ap-1672	182	19	.	.	PUNCT
ap-1672	183	1	6(a	6(a	NUM
ap-1672	183	2	)	)	PUNCT
ap-1672	183	3	,	,	PUNCT
ap-1672	183	4	by	by	ADP
ap-1672	183	5	2	2	NUM
ap-1672	183	6	in	in	ADP
ap-1672	183	7	the	the	DET
ap-1672	183	8	sensitivity	sensitivity	NOUN
ap-1672	183	9	analysis	analysis	NOUN
ap-1672	183	10	,	,	PUNCT
ap-1672	183	11	the	the	DET
ap-1672	183	12	mass	mass	NOUN
ap-1672	183	13	ratio	ratio	NOUN
ap-1672	183	14	is	be	AUX
ap-1672	183	15	kept	keep	VERB
ap-1672	183	16	constant	constant	ADJ
ap-1672	183	17	according	accord	VERB
ap-1672	183	18	to	to	ADP
ap-1672	183	19	table	table	NOUN
ap-1672	183	20	1	1	NUM
ap-1672	183	21	.	.	PUNCT
ap-1672	183	22	33	33	NUM
ap-1672	183	23	acta	acta	PROPN
ap-1672	183	24	polytechnica	polytechnica	PROPN
ap-1672	183	25	vol	vol	NOUN
ap-1672	183	26	.	.	PROPN
ap-1672	184	1	52	52	NUM
ap-1672	184	2	no	no	NOUN
ap-1672	184	3	.	.	PUNCT
ap-1672	185	1	6/2012	6/2012	NUM
ap-1672	185	2	0.3	0.3	NUM
ap-1672	185	3	0.6	0.6	NUM
ap-1672	185	4	0.9	0.9	NUM
ap-1672	185	5	1.2	1.2	NUM
ap-1672	185	6	1.5	1.5	NUM
ap-1672	185	7	900	900	NUM
ap-1672	185	8	1000	1000	NUM
ap-1672	185	9	1100	1100	NUM
ap-1672	185	10	1200	1200	NUM
ap-1672	185	11	1300	1300	NUM
ap-1672	185	12	1400	1400	NUM
ap-1672	185	13	radius	radius	NOUN
ap-1672	185	14	r	r	NOUN
ap-1672	185	15	(	(	PUNCT
ap-1672	185	16	2	2	NUM
ap-1672	185	17	)	)	PUNCT
ap-1672	185	18	[	[	X
ap-1672	185	19	mm	mm	X
ap-1672	185	20	]	]	X
ap-1672	185	21	e	e	X
ap-1672	185	22	e	e	X
ap-1672	185	23	ff	ff	NOUN
ap-1672	186	1	[	[	X
ap-1672	186	2	m	m	X
ap-1672	186	3	p	p	X
ap-1672	186	4	a	a	X
ap-1672	186	5	]	]	PUNCT
ap-1672	186	6	0.3	0.3	NUM
ap-1672	186	7	0.6	0.6	NUM
ap-1672	186	8	0.9	0.9	NUM
ap-1672	186	9	1.2	1.2	NUM
ap-1672	186	10	1.5	1.5	NUM
ap-1672	186	11	0.95	0.95	NUM
ap-1672	186	12	0.96	0.96	NUM
ap-1672	186	13	0.97	0.97	NUM
ap-1672	186	14	0.98	0.98	NUM
ap-1672	186	15	0.99	0.99	NUM
ap-1672	186	16	1	1	NUM
ap-1672	186	17	radius	radius	NOUN
ap-1672	186	18	r(2	r(2	NOUN
ap-1672	186	19	)	)	PUNCT
ap-1672	187	1	[	[	X
ap-1672	187	2	mm	mm	X
ap-1672	187	3	]	]	X
ap-1672	187	4	f	f	X
ap-1672	187	5	c	c	X
ap-1672	187	6	(	(	PUNCT
ap-1672	187	7	r	r	NOUN
ap-1672	187	8	(	(	PUNCT
ap-1672	187	9	2	2	NUM
ap-1672	187	10	)	)	PUNCT
ap-1672	187	11	)	)	PUNCT
ap-1672	187	12	/	/	PUNCT
ap-1672	188	1	f	f	X
ap-1672	188	2	c	c	X
ap-1672	188	3	(	(	PUNCT
ap-1672	188	4	0	0	NUM
ap-1672	188	5	)	)	PUNCT
ap-1672	188	6	(	(	PUNCT
ap-1672	188	7	a	a	X
ap-1672	188	8	)	)	PUNCT
ap-1672	188	9	(	(	PUNCT
ap-1672	188	10	b	b	X
ap-1672	188	11	)	)	PUNCT
ap-1672	188	12	figure	figure	NOUN
ap-1672	188	13	5	5	NUM
ap-1672	188	14	:	:	PUNCT
ap-1672	188	15	influence	influence	NOUN
ap-1672	188	16	of	of	ADP
ap-1672	188	17	the	the	DET
ap-1672	188	18	brick	brick	NOUN
ap-1672	188	19	particle	particle	NOUN
ap-1672	188	20	size	size	NOUN
ap-1672	188	21	on	on	ADP
ap-1672	188	22	the	the	DET
ap-1672	188	23	overall	overall	ADJ
ap-1672	188	24	(	(	PUNCT
ap-1672	188	25	a	a	NOUN
ap-1672	188	26	)	)	PUNCT
ap-1672	188	27	stiffness	stiffness	NOUN
ap-1672	188	28	and	and	CCONJ
ap-1672	188	29	(	(	PUNCT
ap-1672	188	30	b	b	NOUN
ap-1672	188	31	)	)	PUNCT
ap-1672	188	32	strength	strength	NOUN
ap-1672	188	33	.	.	PUNCT
ap-1672	188	34	0	0	NUM
ap-1672	188	35	0.5	0.5	NUM
ap-1672	188	36	1	1	NUM
ap-1672	188	37	1.5	1.5	NUM
ap-1672	188	38	800	800	NUM
ap-1672	188	39	1000	1000	NUM
ap-1672	188	40	1200	1200	NUM
ap-1672	188	41	1400	1400	NUM
ap-1672	188	42	1600	1600	NUM
ap-1672	188	43	1800	1800	NUM
ap-1672	188	44	radius	radius	NOUN
ap-1672	188	45	r	r	NOUN
ap-1672	188	46	(	(	PUNCT
ap-1672	188	47	4	4	NUM
ap-1672	188	48	)	)	PUNCT
ap-1672	188	49	[	[	X
ap-1672	188	50	mm	mm	X
ap-1672	188	51	]	]	X
ap-1672	188	52	e	e	X
ap-1672	188	53	e	e	X
ap-1672	188	54	ff	ff	NOUN
ap-1672	188	55	[	[	X
ap-1672	188	56	m	m	X
ap-1672	188	57	p	p	X
ap-1672	188	58	a	a	X
ap-1672	188	59	]	]	SYM
ap-1672	188	60	0	0	NUM
ap-1672	188	61	0.5	0.5	NUM
ap-1672	188	62	1	1	NUM
ap-1672	188	63	1.5	1.5	NUM
ap-1672	188	64	0.75	0.75	NUM
ap-1672	188	65	0.8	0.8	NUM
ap-1672	188	66	0.85	0.85	NUM
ap-1672	188	67	0.9	0.9	NUM
ap-1672	188	68	0.95	0.95	NUM
ap-1672	188	69	1	1	NUM
ap-1672	188	70	radius	radius	NOUN
ap-1672	188	71	r(4	r(4	PROPN
ap-1672	188	72	)	)	PUNCT
ap-1672	189	1	[	[	X
ap-1672	189	2	mm	mm	X
ap-1672	189	3	]	]	X
ap-1672	189	4	f	f	X
ap-1672	189	5	c	c	X
ap-1672	189	6	(	(	PUNCT
ap-1672	189	7	r	r	NOUN
ap-1672	189	8	(	(	PUNCT
ap-1672	189	9	4	4	NUM
ap-1672	189	10	)	)	PUNCT
ap-1672	189	11	)	)	PUNCT
ap-1672	189	12	/	/	PUNCT
ap-1672	190	1	f	f	X
ap-1672	190	2	c	c	X
ap-1672	190	3	(	(	PUNCT
ap-1672	190	4	0	0	NUM
ap-1672	190	5	)	)	PUNCT
ap-1672	190	6	(	(	PUNCT
ap-1672	190	7	a	a	X
ap-1672	190	8	)	)	PUNCT
ap-1672	190	9	(	(	PUNCT
ap-1672	190	10	b	b	X
ap-1672	190	11	)	)	PUNCT
ap-1672	190	12	figure	figure	NOUN
ap-1672	190	13	6	6	NUM
ap-1672	190	14	:	:	PUNCT
ap-1672	190	15	influence	influence	NOUN
ap-1672	190	16	of	of	ADP
ap-1672	190	17	the	the	DET
ap-1672	190	18	sand	sand	NOUN
ap-1672	190	19	particle	particle	NOUN
ap-1672	190	20	size	size	NOUN
ap-1672	190	21	on	on	ADP
ap-1672	190	22	the	the	DET
ap-1672	190	23	overall	overall	ADJ
ap-1672	190	24	(	(	PUNCT
ap-1672	190	25	a	a	NOUN
ap-1672	190	26	)	)	PUNCT
ap-1672	190	27	stiffness	stiffness	NOUN
ap-1672	190	28	and	and	CCONJ
ap-1672	190	29	(	(	PUNCT
ap-1672	190	30	b	b	NOUN
ap-1672	190	31	)	)	PUNCT
ap-1672	190	32	strength	strength	NOUN
ap-1672	190	33	.	.	PUNCT
ap-1672	191	1	compensating	compensate	VERB
ap-1672	191	2	for	for	ADP
ap-1672	191	3	the	the	DET
ap-1672	191	4	inferior	inferior	ADJ
ap-1672	191	5	mechanical	mechanical	ADJ
ap-1672	191	6	properties	property	NOUN
ap-1672	191	7	of	of	ADP
ap-1672	191	8	the	the	DET
ap-1672	191	9	itz	itz	PROPN
ap-1672	191	10	.	.	PUNCT
ap-1672	192	1	since	since	SCONJ
ap-1672	192	2	the	the	DET
ap-1672	192	3	relative	relative	ADJ
ap-1672	192	4	thickness	thickness	NOUN
ap-1672	192	5	of	of	ADP
ap-1672	192	6	itz	itz	PROPN
ap-1672	192	7	layer	layer	NOUN
ap-1672	192	8	decreases	decrease	VERB
ap-1672	192	9	,	,	PUNCT
ap-1672	192	10	the	the	DET
ap-1672	192	11	stresses	stress	NOUN
ap-1672	192	12	inside	inside	ADP
ap-1672	192	13	this	this	DET
ap-1672	192	14	phase	phase	NOUN
ap-1672	192	15	increase	increase	NOUN
ap-1672	192	16	and	and	CCONJ
ap-1672	192	17	the	the	DET
ap-1672	192	18	material	material	NOUN
ap-1672	192	19	becomes	become	VERB
ap-1672	192	20	weaker	weak	ADJ
ap-1672	192	21	in	in	ADP
ap-1672	192	22	overall	overall	ADJ
ap-1672	192	23	,	,	PUNCT
ap-1672	192	24	fig	fig	NOUN
ap-1672	192	25	.	.	PUNCT
ap-1672	193	1	6(b	6(b	NUM
ap-1672	193	2	)	)	PUNCT
ap-1672	193	3	.	.	PUNCT
ap-1672	194	1	when	when	SCONJ
ap-1672	194	2	compared	compare	VERB
ap-1672	194	3	to	to	ADP
ap-1672	194	4	brick	brick	NOUN
ap-1672	194	5	particles	particle	NOUN
ap-1672	194	6	,	,	PUNCT
ap-1672	194	7	these	these	DET
ap-1672	194	8	effects	effect	NOUN
ap-1672	194	9	are	be	AUX
ap-1672	194	10	much	much	ADV
ap-1672	194	11	more	more	ADV
ap-1672	194	12	pronounced	pronounced	ADJ
ap-1672	194	13	:	:	PUNCT
ap-1672	194	14	in	in	ADP
ap-1672	194	15	the	the	DET
ap-1672	194	16	considered	considered	ADJ
ap-1672	194	17	range	range	NOUN
ap-1672	194	18	of	of	ADP
ap-1672	194	19	radii	radius	NOUN
ap-1672	194	20	,	,	PUNCT
ap-1672	194	21	the	the	DET
ap-1672	194	22	young	young	ADJ
ap-1672	194	23	modulus	modulus	ADJ
ap-1672	194	24	increases	increase	NOUN
ap-1672	194	25	by	by	ADP
ap-1672	194	26	about	about	ADV
ap-1672	194	27	100	100	NUM
ap-1672	194	28	%	%	NOUN
ap-1672	194	29	and	and	CCONJ
ap-1672	194	30	the	the	DET
ap-1672	194	31	strength	strength	NOUN
ap-1672	194	32	decreases	decrease	VERB
ap-1672	194	33	by	by	ADP
ap-1672	194	34	25	25	NUM
ap-1672	194	35	%	%	NOUN
ap-1672	194	36	with	with	ADP
ap-1672	194	37	no	no	DET
ap-1672	194	38	tendency	tendency	NOUN
ap-1672	194	39	to	to	PART
ap-1672	194	40	stabilize	stabilize	VERB
ap-1672	194	41	.	.	PUNCT
ap-1672	195	1	this	this	PRON
ap-1672	195	2	agrees	agree	VERB
ap-1672	195	3	well	well	ADV
ap-1672	195	4	with	with	ADP
ap-1672	195	5	the	the	DET
ap-1672	195	6	experimental	experimental	ADJ
ap-1672	195	7	outcomes	outcome	NOUN
ap-1672	195	8	reported	report	VERB
ap-1672	195	9	in	in	ADP
ap-1672	195	10	[	[	X
ap-1672	195	11	30	30	NUM
ap-1672	195	12	]	]	PUNCT
ap-1672	195	13	.	.	PUNCT
ap-1672	196	1	4	4	NUM
ap-1672	196	2	conclusions	conclusion	NOUN
ap-1672	196	3	in	in	ADP
ap-1672	196	4	the	the	DET
ap-1672	196	5	present	present	ADJ
ap-1672	196	6	work	work	NOUN
ap-1672	196	7	,	,	PUNCT
ap-1672	196	8	following	follow	VERB
ap-1672	196	9	the	the	DET
ap-1672	196	10	recent	recent	ADJ
ap-1672	196	11	developments	development	NOUN
ap-1672	196	12	presented	present	VERB
ap-1672	196	13	in	in	ADP
ap-1672	196	14	[	[	X
ap-1672	196	15	27	27	NUM
ap-1672	196	16	,	,	PUNCT
ap-1672	196	17	26	26	NUM
ap-1672	196	18	,	,	PUNCT
ap-1672	196	19	35	35	NUM
ap-1672	196	20	,	,	PUNCT
ap-1672	196	21	34	34	NUM
ap-1672	196	22	]	]	X
ap-1672	196	23	,	,	PUNCT
ap-1672	196	24	a	a	DET
ap-1672	196	25	simple	simple	ADJ
ap-1672	196	26	micromechanicsbased	micromechanicsbase	VERB
ap-1672	196	27	scheme	scheme	NOUN
ap-1672	196	28	for	for	ADP
ap-1672	196	29	strength	strength	NOUN
ap-1672	196	30	and	and	CCONJ
ap-1672	196	31	stiffness	stiffness	ADJ
ap-1672	196	32	estimates	estimate	NOUN
ap-1672	196	33	of	of	ADP
ap-1672	196	34	cocciopesto	cocciopesto	ADJ
ap-1672	196	35	mortars	mortar	NOUN
ap-1672	196	36	has	have	AUX
ap-1672	196	37	been	be	AUX
ap-1672	196	38	presented	present	VERB
ap-1672	196	39	.	.	PUNCT
ap-1672	197	1	the	the	DET
ap-1672	197	2	model	model	NOUN
ap-1672	197	3	directly	directly	ADV
ap-1672	197	4	utilizes	utilize	VERB
ap-1672	197	5	measurable	measurable	ADJ
ap-1672	197	6	material	material	NOUN
ap-1672	197	7	and	and	CCONJ
ap-1672	197	8	geometrical	geometrical	ADJ
ap-1672	197	9	properties	property	NOUN
ap-1672	197	10	of	of	ADP
ap-1672	197	11	individual	individual	ADJ
ap-1672	197	12	phases	phase	NOUN
ap-1672	197	13	and	and	CCONJ
ap-1672	197	14	is	be	AUX
ap-1672	197	15	free	free	ADJ
ap-1672	197	16	of	of	ADP
ap-1672	197	17	adjustable	adjustable	ADJ
ap-1672	197	18	parameters	parameter	NOUN
ap-1672	197	19	.	.	PUNCT
ap-1672	198	1	on	on	ADP
ap-1672	198	2	the	the	DET
ap-1672	198	3	basis	basis	NOUN
ap-1672	198	4	of	of	ADP
ap-1672	198	5	the	the	DET
ap-1672	198	6	presented	present	VERB
ap-1672	198	7	results	result	NOUN
ap-1672	198	8	,	,	PUNCT
ap-1672	198	9	we	we	PRON
ap-1672	198	10	conclude	conclude	VERB
ap-1672	198	11	that	that	SCONJ
ap-1672	198	12	the	the	DET
ap-1672	198	13	model	model	NOUN
ap-1672	198	14	1	1	NUM
ap-1672	198	15	.	.	PUNCT
ap-1672	198	16	predicts	predict	VERB
ap-1672	198	17	realistic	realistic	ADJ
ap-1672	198	18	values	value	NOUN
ap-1672	198	19	of	of	ADP
ap-1672	198	20	the	the	DET
ap-1672	198	21	overall	overall	ADJ
ap-1672	198	22	young	young	ADJ
ap-1672	198	23	modulus	modulus	NOUN
ap-1672	198	24	and	and	CCONJ
ap-1672	198	25	strength	strength	NOUN
ap-1672	198	26	-	-	PUNCT
ap-1672	198	27	porosity	porosity	NOUN
ap-1672	198	28	scaling	scaling	NOUN
ap-1672	198	29	,	,	PUNCT
ap-1672	198	30	2	2	X
ap-1672	198	31	.	.	X
ap-1672	198	32	captures	capture	VERB
ap-1672	198	33	the	the	DET
ap-1672	198	34	“	"	PUNCT
ap-1672	198	35	smaller	small	ADJ
ap-1672	198	36	is	be	AUX
ap-1672	198	37	stiffer	stiff	ADJ
ap-1672	198	38	”	"	PUNCT
ap-1672	198	39	and	and	CCONJ
ap-1672	198	40	“	"	PUNCT
ap-1672	198	41	smaller	small	ADJ
ap-1672	198	42	is	be	AUX
ap-1672	198	43	stronger	strong	ADJ
ap-1672	198	44	”	"	PUNCT
ap-1672	198	45	trends	trend	NOUN
ap-1672	198	46	for	for	ADP
ap-1672	198	47	crushed	crushed	ADJ
ap-1672	198	48	brick	brick	NOUN
ap-1672	198	49	particles	particle	NOUN
ap-1672	198	50	,	,	PUNCT
ap-1672	198	51	3	3	NUM
ap-1672	198	52	.	.	NOUN
ap-1672	198	53	captures	capture	VERB
ap-1672	198	54	the	the	DET
ap-1672	198	55	“	"	PUNCT
ap-1672	198	56	larger	large	ADJ
ap-1672	198	57	is	be	AUX
ap-1672	198	58	stiffer	stiff	ADJ
ap-1672	198	59	”	"	PUNCT
ap-1672	198	60	and	and	CCONJ
ap-1672	198	61	“	"	PUNCT
ap-1672	198	62	larger	large	ADJ
ap-1672	198	63	is	be	AUX
ap-1672	198	64	weaker	weak	ADJ
ap-1672	198	65	”	"	PUNCT
ap-1672	198	66	trends	trend	NOUN
ap-1672	198	67	for	for	ADP
ap-1672	198	68	sand	sand	NOUN
ap-1672	198	69	aggregates	aggregate	NOUN
ap-1672	198	70	,	,	PUNCT
ap-1672	198	71	4	4	NUM
ap-1672	198	72	.	.	PUNCT
ap-1672	198	73	explains	explain	VERB
ap-1672	198	74	the	the	DET
ap-1672	198	75	positive	positive	ADJ
ap-1672	198	76	role	role	NOUN
ap-1672	198	77	of	of	ADP
ap-1672	198	78	crushed	crush	VERB
ap-1672	198	79	bricks	brick	NOUN
ap-1672	198	80	in	in	ADP
ap-1672	198	81	comparison	comparison	NOUN
ap-1672	198	82	with	with	ADP
ap-1672	198	83	sand	sand	NOUN
ap-1672	198	84	aggregates	aggregate	NOUN
ap-1672	198	85	.	.	PUNCT
ap-1672	199	1	of	of	ADP
ap-1672	199	2	course	course	NOUN
ap-1672	199	3	,	,	PUNCT
ap-1672	199	4	in	in	ADP
ap-1672	199	5	order	order	NOUN
ap-1672	199	6	for	for	SCONJ
ap-1672	199	7	this	this	DET
ap-1672	199	8	model	model	NOUN
ap-1672	199	9	to	to	PART
ap-1672	199	10	be	be	AUX
ap-1672	199	11	accepted	accept	VERB
ap-1672	199	12	for	for	ADP
ap-1672	199	13	practical	practical	ADJ
ap-1672	199	14	use	use	NOUN
ap-1672	199	15	,	,	PUNCT
ap-1672	199	16	it	it	PRON
ap-1672	199	17	needs	need	VERB
ap-1672	199	18	to	to	PART
ap-1672	199	19	be	be	AUX
ap-1672	199	20	validated	validate	VERB
ap-1672	199	21	against	against	ADP
ap-1672	199	22	comprehensive	comprehensive	ADJ
ap-1672	199	23	experimental	experimental	ADJ
ap-1672	199	24	data	datum	NOUN
ap-1672	199	25	at	at	ADP
ap-1672	199	26	microand	microand	NOUN
ap-1672	199	27	macroscales	macroscale	NOUN
ap-1672	199	28	,	,	PUNCT
ap-1672	199	29	and	and	CCONJ
ap-1672	199	30	the	the	DET
ap-1672	199	31	role	role	NOUN
ap-1672	199	32	of	of	ADP
ap-1672	199	33	itz	itz	PROPN
ap-1672	199	34	in	in	ADP
ap-1672	199	35	lime	lime	NOUN
ap-1672	199	36	-	-	PUNCT
ap-1672	199	37	based	base	VERB
ap-1672	199	38	mortars	mortar	NOUN
ap-1672	199	39	needs	need	VERB
ap-1672	199	40	to	to	PART
ap-1672	199	41	be	be	AUX
ap-1672	199	42	clarified	clarify	VERB
ap-1672	199	43	.	.	PUNCT
ap-1672	200	1	this	this	DET
ap-1672	200	2	topic	topic	NOUN
ap-1672	200	3	is	be	AUX
ap-1672	200	4	currently	currently	ADV
ap-1672	200	5	under	under	ADP
ap-1672	200	6	investigation	investigation	NOUN
ap-1672	200	7	and	and	CCONJ
ap-1672	200	8	will	will	AUX
ap-1672	200	9	be	be	AUX
ap-1672	200	10	reported	report	VERB
ap-1672	200	11	separately	separately	ADV
ap-1672	200	12	.	.	PUNCT
ap-1672	201	1	acknowledgements	acknowledgement	NOUN
ap-1672	201	2	we	we	PRON
ap-1672	201	3	wish	wish	VERB
ap-1672	201	4	to	to	PART
ap-1672	201	5	thank	thank	VERB
ap-1672	201	6	an	an	DET
ap-1672	201	7	anonymous	anonymous	ADJ
ap-1672	201	8	referee	referee	NOUN
ap-1672	201	9	for	for	ADP
ap-1672	201	10	a	a	DET
ap-1672	201	11	number	number	NOUN
ap-1672	201	12	of	of	ADP
ap-1672	201	13	valuable	valuable	ADJ
ap-1672	201	14	suggestions	suggestion	NOUN
ap-1672	201	15	on	on	ADP
ap-1672	201	16	the	the	DET
ap-1672	201	17	previous	previous	ADJ
ap-1672	201	18	version	version	NOUN
ap-1672	201	19	of	of	ADP
ap-1672	201	20	the	the	DET
ap-1672	201	21	manuscript	manuscript	NOUN
ap-1672	201	22	.	.	PUNCT
ap-1672	202	1	this	this	DET
ap-1672	202	2	work	work	NOUN
ap-1672	202	3	was	be	AUX
ap-1672	202	4	supported	support	VERB
ap-1672	202	5	by	by	ADP
ap-1672	202	6	the	the	DET
ap-1672	202	7	ministry	ministry	PROPN
ap-1672	202	8	of	of	ADP
ap-1672	202	9	culture	culture	NOUN
ap-1672	202	10	of	of	ADP
ap-1672	202	11	the	the	DET
ap-1672	202	12	czech	czech	PROPN
ap-1672	202	13	republic	republic	NOUN
ap-1672	202	14	,	,	PUNCT
ap-1672	202	15	project	project	NOUN
ap-1672	202	16	no	no	INTJ
ap-1672	202	17	.	.	PUNCT
ap-1672	202	18	df11p01ovv008	df11p01ovv008	PROPN
ap-1672	202	19	.	.	PUNCT
ap-1672	203	1	references	reference	NOUN
ap-1672	203	2	appear	appear	VERB
ap-1672	203	3	after	after	ADP
ap-1672	203	4	the	the	DET
ap-1672	203	5	appendix	appendix	NOUN
ap-1672	203	6	on	on	ADP
ap-1672	203	7	page	page	NOUN
ap-1672	203	8	36	36	NUM
ap-1672	203	9	.	.	PUNCT
ap-1672	204	1	34	34	NUM
ap-1672	204	2	acta	acta	PROPN
ap-1672	204	3	polytechnica	polytechnica	PROPN
ap-1672	204	4	vol	vol	NOUN
ap-1672	204	5	.	.	PROPN
ap-1672	205	1	52	52	NUM
ap-1672	205	2	no	no	NOUN
ap-1672	205	3	.	.	PUNCT
ap-1672	206	1	6/2012	6/2012	NUM
ap-1672	206	2	the	the	DET
ap-1672	206	3	effect	effect	NOUN
ap-1672	206	4	of	of	ADP
ap-1672	206	5	coating	coat	VERB
ap-1672	206	6	on	on	ADP
ap-1672	206	7	the	the	DET
ap-1672	206	8	mechanical	mechanical	ADJ
ap-1672	206	9	properties	property	NOUN
ap-1672	206	10	enters	enter	VERB
ap-1672	206	11	the	the	DET
ap-1672	206	12	solution	solution	NOUN
ap-1672	206	13	through	through	ADP
ap-1672	206	14	the	the	DET
ap-1672	206	15	auxiliary	auxiliary	ADJ
ap-1672	206	16	factors	factor	NOUN
ap-1672	206	17	qk	qk	VERB
ap-1672	206	18	in	in	ADP
ap-1672	206	19	eq	eq	ADP
ap-1672	206	20	.	.	PUNCT
ap-1672	207	1	(	(	PUNCT
ap-1672	207	2	5	5	NUM
ap-1672	207	3	)	)	PUNCT
ap-1672	207	4	,	,	PUNCT
ap-1672	207	5	and	and	CCONJ
ap-1672	207	6	ak	ak	PROPN
ap-1672	207	7	and	and	CCONJ
ap-1672	207	8	bk	bk	VERB
ap-1672	207	9	in	in	ADP
ap-1672	207	10	eq	eq	ADP
ap-1672	207	11	.	.	PUNCT
ap-1672	208	1	(	(	PUNCT
ap-1672	208	2	6	6	NUM
ap-1672	208	3	)	)	PUNCT
ap-1672	208	4	.	.	PUNCT
ap-1672	209	1	here	here	ADV
ap-1672	209	2	,	,	PUNCT
ap-1672	209	3	these	these	PRON
ap-1672	209	4	are	be	AUX
ap-1672	209	5	provided	provide	VERB
ap-1672	209	6	in	in	ADP
ap-1672	209	7	the	the	DET
ap-1672	209	8	closed	closed	ADJ
ap-1672	209	9	form	form	NOUN
ap-1672	209	10	optimized	optimize	VERB
ap-1672	209	11	for	for	ADP
ap-1672	209	12	coding	code	VERB
ap-1672	209	13	,	,	PUNCT
ap-1672	209	14	utilizing	utilize	VERB
ap-1672	209	15	the	the	DET
ap-1672	209	16	results	result	NOUN
ap-1672	209	17	and	and	CCONJ
ap-1672	209	18	nomenclature	nomenclature	NOUN
ap-1672	209	19	by	by	ADP
ap-1672	209	20	herve	herve	PROPN
ap-1672	209	21	and	and	CCONJ
ap-1672	209	22	zaoui	zaoui	VERB
ap-1672	210	1	[	[	X
ap-1672	210	2	10	10	NUM
ap-1672	210	3	]	]	PUNCT
ap-1672	210	4	.	.	PUNCT
ap-1672	211	1	note	note	VERB
ap-1672	211	2	that	that	SCONJ
ap-1672	211	3	in	in	ADP
ap-1672	211	4	order	order	NOUN
ap-1672	211	5	to	to	PART
ap-1672	211	6	keep	keep	VERB
ap-1672	211	7	the	the	DET
ap-1672	211	8	notation	notation	NOUN
ap-1672	211	9	consistent	consistent	ADJ
ap-1672	211	10	,	,	PUNCT
ap-1672	211	11	a(k	a(k	NUM
ap-1672	211	12	)	)	PUNCT
ap-1672	211	13	corresponds	correspond	VERB
ap-1672	211	14	to	to	ADP
ap-1672	211	15	a	a	DET
ap-1672	211	16	property	property	NOUN
ap-1672	211	17	of	of	ADP
ap-1672	211	18	the	the	DET
ap-1672	211	19	k	k	NOUN
ap-1672	211	20	-	-	PUNCT
ap-1672	211	21	th	th	VERB
ap-1672	211	22	phase	phase	NOUN
ap-1672	211	23	,	,	PUNCT
ap-1672	211	24	whereas	whereas	SCONJ
ap-1672	211	25	ak	ak	PROPN
ap-1672	211	26	denotes	denote	VERB
ap-1672	211	27	a	a	DET
ap-1672	211	28	quantity	quantity	NOUN
ap-1672	211	29	utilized	utilize	VERB
ap-1672	211	30	in	in	ADP
ap-1672	211	31	the	the	DET
ap-1672	211	32	herve	herve	PROPN
ap-1672	211	33	-	-	PUNCT
ap-1672	211	34	zaoui	zaoui	PROPN
ap-1672	211	35	solution	solution	NOUN
ap-1672	211	36	(	(	PUNCT
ap-1672	211	37	independent	independent	ADJ
ap-1672	211	38	of	of	ADP
ap-1672	211	39	a(k	a(k	NUM
ap-1672	211	40	)	)	PUNCT
ap-1672	211	41	)	)	PUNCT
ap-1672	211	42	.	.	PUNCT
ap-1672	212	1	also	also	ADV
ap-1672	212	2	recall	recall	VERB
ap-1672	212	3	that	that	SCONJ
ap-1672	212	4	we	we	PRON
ap-1672	212	5	employ	employ	VERB
ap-1672	212	6	the	the	DET
ap-1672	212	7	local	local	ADJ
ap-1672	212	8	numbering	numbering	NOUN
ap-1672	212	9	of	of	ADP
ap-1672	212	10	phases	phase	NOUN
ap-1672	212	11	by	by	ADP
ap-1672	212	12	the	the	DET
ap-1672	212	13	index	index	NOUN
ap-1672	213	1	i	i	PRON
ap-1672	213	2	=	=	PUNCT
ap-1672	214	1	[	[	X
ap-1672	214	2	i1	i1	PROPN
ap-1672	214	3	,	,	PUNCT
ap-1672	214	4	i2	i2	PROPN
ap-1672	214	5	,	,	PUNCT
ap-1672	214	6	i3]t	i3]t	PROPN
ap-1672	214	7	introduced	introduce	VERB
ap-1672	214	8	by	by	ADP
ap-1672	214	9	fig	fig	NOUN
ap-1672	214	10	.	.	PUNCT
ap-1672	215	1	2	2	X
ap-1672	215	2	.	.	X
ap-1672	215	3	in	in	ADP
ap-1672	215	4	particular	particular	ADJ
ap-1672	215	5	,	,	PUNCT
ap-1672	215	6	the	the	DET
ap-1672	215	7	volumetric	volumetric	NOUN
ap-1672	215	8	part	part	NOUN
ap-1672	215	9	is	be	AUX
ap-1672	215	10	expressed	express	VERB
ap-1672	215	11	in	in	ADP
ap-1672	215	12	terms	term	NOUN
ap-1672	215	13	of	of	ADP
ap-1672	215	14	matrices	matrix	NOUN
ap-1672	215	15	q1	q1	NOUN
ap-1672	215	16	=	=	SYM
ap-1672	215	17	n1	n1	PROPN
ap-1672	215	18	,	,	PUNCT
ap-1672	215	19	q2	q2	NOUN
ap-1672	215	20	=	=	SYM
ap-1672	215	21	n2q1	n2q1	PROPN
ap-1672	215	22	,	,	PUNCT
ap-1672	215	23	with	with	ADP
ap-1672	215	24	nk	nk	PROPN
ap-1672	215	25	=	=	PROPN
ap-1672	215	26	1	1	NUM
ap-1672	215	27	3k(ik+1	3k(ik+1	NUM
ap-1672	215	28	)	)	PUNCT
ap-1672	215	29	+	+	ADJ
ap-1672	215	30	g(ik+1	g(ik+1	NOUN
ap-1672	215	31	)	)	PUNCT
ap-1672	215	32			NOUN
ap-1672	215	33	3k(ik	3k(ik	NUM
ap-1672	215	34	)	)	PUNCT
ap-1672	216	1	+	+	NUM
ap-1672	217	1	4g(ik+1	4g(ik+1	X
ap-1672	217	2	)	)	PUNCT
ap-1672	217	3	4	4	NUM
ap-1672	217	4	r(ik)3	r(ik)3	PROPN
ap-1672	217	5	(	(	PUNCT
ap-1672	217	6	g(ik+1	g(ik+1	PROPN
ap-1672	217	7	)	)	PUNCT
ap-1672	217	8	−g(ik	−g(ik	NOUN
ap-1672	217	9	)	)	PUNCT
ap-1672	217	10	)	)	PUNCT
ap-1672	217	11	3r(ik)3(k(ik+1	3r(ik)3(k(ik+1	X
ap-1672	217	12	)	)	PUNCT
ap-1672	217	13	−k(ik	−k(ik	NOUN
ap-1672	217	14	)	)	PUNCT
ap-1672	217	15	)	)	PUNCT
ap-1672	218	1	3k(ik+1	3k(ik+1	NUM
ap-1672	218	2	)	)	PUNCT
ap-1672	218	3	+	+	NUM
ap-1672	218	4	4g(ik	4g(ik	NUM
ap-1672	218	5	)	)	PUNCT
ap-1672	218	6			NOUN
ap-1672	218	7	for	for	ADP
ap-1672	218	8	k	k	PROPN
ap-1672	218	9	=	=	SYM
ap-1672	218	10	1	1	NUM
ap-1672	218	11	,	,	PUNCT
ap-1672	218	12	2	2	NUM
ap-1672	218	13	.	.	PUNCT
ap-1672	219	1	the	the	DET
ap-1672	219	2	matrices	matrix	NOUN
ap-1672	219	3	needed	need	VERB
ap-1672	219	4	to	to	PART
ap-1672	219	5	evaluate	evaluate	VERB
ap-1672	219	6	the	the	DET
ap-1672	219	7	deviatoric	deviatoric	ADJ
ap-1672	219	8	part	part	NOUN
ap-1672	219	9	follow	follow	VERB
ap-1672	219	10	from	from	ADP
ap-1672	219	11	a1	a1	NOUN
ap-1672	219	12	=	=	PROPN
ap-1672	219	13	p	p	PROPN
ap-1672	219	14	2	2	NUM
ap-1672	219	15	22	22	NUM
ap-1672	219	16	p	p	NOUN
ap-1672	219	17	2	2	NUM
ap-1672	219	18	11p	11p	NUM
ap-1672	219	19	2	2	NUM
ap-1672	219	20	22	22	NUM
ap-1672	219	21	−	−	NOUN
ap-1672	219	22	p	p	NOUN
ap-1672	219	23	2	2	NUM
ap-1672	219	24	12p	12p	NOUN
ap-1672	219	25	2	2	NUM
ap-1672	219	26	21	21	NUM
ap-1672	219	27	,	,	PUNCT
ap-1672	219	28	a2	a2	PROPN
ap-1672	219	29	=	=	SYM
ap-1672	220	1	w	w	PROPN
ap-1672	220	2	2	2	NUM
ap-1672	220	3	1	1	NUM
ap-1672	220	4	,	,	PUNCT
ap-1672	220	5	b1	b1	NOUN
ap-1672	220	6	=	=	SYM
ap-1672	220	7	−p	−p	ADJ
ap-1672	220	8	2	2	NUM
ap-1672	220	9	21	21	NUM
ap-1672	220	10	p	p	NOUN
ap-1672	220	11	2	2	NUM
ap-1672	220	12	11p	11p	NUM
ap-1672	220	13	2	2	NUM
ap-1672	220	14	22	22	NUM
ap-1672	220	15	−	−	NOUN
ap-1672	220	16	p	p	NOUN
ap-1672	220	17	2	2	NUM
ap-1672	220	18	12p	12p	NOUN
ap-1672	220	19	2	2	NUM
ap-1672	220	20	21	21	NUM
ap-1672	220	21	,	,	PUNCT
ap-1672	220	22	b2	b2	NOUN
ap-1672	220	23	=	=	SYM
ap-1672	220	24	w	w	PROPN
ap-1672	220	25	2	2	NUM
ap-1672	220	26	2	2	NUM
ap-1672	220	27	,	,	PUNCT
ap-1672	220	28	where	where	SCONJ
ap-1672	220	29	w	w	PROPN
ap-1672	220	30	k	k	NOUN
ap-1672	220	31	=	=	SYM
ap-1672	221	1	1	1	NUM
ap-1672	221	2	p	p	SYM
ap-1672	221	3	2	2	NUM
ap-1672	221	4	22p	22p	NOUN
ap-1672	221	5	2	2	NUM
ap-1672	221	6	11	11	NUM
ap-1672	221	7	−	−	NOUN
ap-1672	221	8	p	p	NOUN
ap-1672	221	9	2	2	NUM
ap-1672	221	10	12p	12p	NOUN
ap-1672	221	11	2	2	NUM
ap-1672	221	12	21	21	NUM
ap-1672	221	13	p	p	PROPN
ap-1672	221	14	k−1	k−1	PROPN
ap-1672	221	15	[	[	PUNCT
ap-1672	221	16	p	p	NOUN
ap-1672	221	17	2	2	NUM
ap-1672	221	18	22	22	NUM
ap-1672	221	19	−p	−p	ADJ
ap-1672	221	20	2	2	NUM
ap-1672	221	21	21	21	NUM
ap-1672	221	22	0	0	NUM
ap-1672	221	23	0	0	NUM
ap-1672	222	1	]	]	X
ap-1672	223	1	t	t	X
ap-1672	224	1	(	(	PUNCT
ap-1672	224	2	k	k	NOUN
ap-1672	224	3	=	=	SYM
ap-1672	224	4	1	1	NUM
ap-1672	224	5	,	,	PUNCT
ap-1672	224	6	2	2	NUM
ap-1672	224	7	)	)	PUNCT
ap-1672	224	8	,	,	PUNCT
ap-1672	224	9	p	p	NOUN
ap-1672	224	10	1	1	NUM
ap-1672	224	11	=	=	SYM
ap-1672	224	12	m1	m1	NOUN
ap-1672	224	13	,	,	PUNCT
ap-1672	224	14	p	p	PROPN
ap-1672	224	15	2	2	NUM
ap-1672	224	16	=	=	SYM
ap-1672	224	17	m2p	m2p	PROPN
ap-1672	224	18	1	1	NUM
ap-1672	224	19	.	.	PUNCT
ap-1672	225	1	the	the	DET
ap-1672	225	2	auxiliary	auxiliary	ADJ
ap-1672	225	3	matrix	matrix	NOUN
ap-1672	225	4	mk	mk	PROPN
ap-1672	225	5	admits	admit	VERB
ap-1672	225	6	the	the	DET
ap-1672	225	7	expression	expression	NOUN
ap-1672	225	8	:	:	PUNCT
ap-1672	225	9	mk	mk	NOUN
ap-1672	225	10	=	=	SYM
ap-1672	225	11	1	1	NUM
ap-1672	225	12	5(1−	5(1−	NUM
ap-1672	225	13	ν(ik+1	ν(ik+1	NOUN
ap-1672	225	14	)	)	PUNCT
ap-1672	225	15	)	)	PUNCT
ap-1672	226	1			VERB
ap-1672	226	2	ck	ck	ADV
ap-1672	227	1	3	3	NUM
ap-1672	227	2	r(ik)2(3bk	r(ik)2(3bk	ADP
ap-1672	227	3	−	−	PROPN
ap-1672	227	4	7ck	7ck	NOUN
ap-1672	227	5	)	)	PUNCT
ap-1672	227	6	5(1−	5(1−	PROPN
ap-1672	227	7	2ν(ik	2ν(ik	NUM
ap-1672	227	8	)	)	PUNCT
ap-1672	227	9	)	)	PUNCT
ap-1672	228	1	−12αk	−12αk	X
ap-1672	228	2	r(ik)5	r(ik)5	PROPN
ap-1672	228	3	4(fk	4(fk	NOUN
ap-1672	228	4	−	−	NOUN
ap-1672	228	5	27αk	27αk	ADJ
ap-1672	228	6	)	)	PUNCT
ap-1672	228	7	15r(ik)3(1−	15r(ik)3(1−	PROPN
ap-1672	228	8	2ν(ik	2ν(ik	NUM
ap-1672	228	9	)	)	PUNCT
ap-1672	228	10	)	)	PUNCT
ap-1672	228	11	0	0	PUNCT
ap-1672	229	1	bk(1−	bk(1−	ADJ
ap-1672	229	2	2ν(ik+1	2ν(ik+1	NUM
ap-1672	229	3	)	)	PUNCT
ap-1672	229	4	)	)	PUNCT
ap-1672	230	1	5(1−	5(1−	NUM
ap-1672	230	2	2ν(ik	2ν(ik	NUM
ap-1672	230	3	)	)	PUNCT
ap-1672	230	4	)	)	PUNCT
ap-1672	231	1	mk23	mk23	PROPN
ap-1672	231	2	−12αk(1−	−12αk(1−	NOUN
ap-1672	231	3	2ν(ik+1	2ν(ik+1	NUM
ap-1672	231	4	)	)	PUNCT
ap-1672	231	5	)	)	PUNCT
ap-1672	232	1	7r(ik)7(1−	7r(ik)7(1−	NUM
ap-1672	232	2	2ν(ik	2ν(ik	NUM
ap-1672	232	3	)	)	PUNCT
ap-1672	232	4	)	)	PUNCT
ap-1672	233	1	r(ik)5αk	r(ik)5αk	VERB
ap-1672	233	2	2	2	NUM
ap-1672	233	3	−r(ik)7(2ak	−r(ik)7(2ak	ADJ
ap-1672	233	4	+	+	NUM
ap-1672	233	5	147αk	147αk	PROPN
ap-1672	233	6	)	)	PUNCT
ap-1672	233	7	70(1−	70(1−	NUM
ap-1672	233	8	2ν(ik	2ν(ik	NUM
ap-1672	233	9	)	)	PUNCT
ap-1672	233	10	)	)	PUNCT
ap-1672	234	1	dk	dk	PROPN
ap-1672	234	2	7	7	NUM
ap-1672	234	3	mk34	mk34	PROPN
ap-1672	234	4	mk41	mk41	PROPN
ap-1672	234	5	7αkr(ik)5(1−	7αkr(ik)5(1−	PROPN
ap-1672	234	6	2ν(ik+1	2ν(ik+1	NUM
ap-1672	234	7	)	)	PUNCT
ap-1672	234	8	)	)	PUNCT
ap-1672	234	9	2(1−	2(1−	NUM
ap-1672	234	10	2ν(ik	2ν(ik	NUM
ap-1672	234	11	)	)	PUNCT
ap-1672	234	12	)	)	PUNCT
ap-1672	234	13	0	0	PUNCT
ap-1672	235	1	ek(1−	ek(1−	PROPN
ap-1672	235	2	2ν(ik+1	2ν(ik+1	NUM
ap-1672	235	3	)	)	PUNCT
ap-1672	235	4	)	)	PUNCT
ap-1672	236	1	3(1−	3(1−	NUM
ap-1672	236	2	2ν(ik	2ν(ik	NUM
ap-1672	236	3	)	)	PUNCT
ap-1672	236	4	)	)	PUNCT
ap-1672	237	1			VERB
ap-1672	237	2	with	with	ADP
ap-1672	237	3	mk23	mk23	PROPN
ap-1672	237	4	=	=	PUNCT
ap-1672	237	5	−20αk(1−	−20αk(1−	ADJ
ap-1672	237	6	2ν(ik+1	2ν(ik+1	NUM
ap-1672	237	7	)	)	PUNCT
ap-1672	237	8	)	)	PUNCT
ap-1672	237	9	7r(ik)7	7r(ik)7	NOUN
ap-1672	237	10	,	,	PUNCT
ap-1672	237	11	mk41	mk41	PROPN
ap-1672	237	12	=	=	PUNCT
ap-1672	237	13	−5αkr(ik)3(1−	−5αkr(ik)3(1−	ADJ
ap-1672	237	14	2ν(ik+1	2ν(ik+1	NUM
ap-1672	237	15	)	)	PUNCT
ap-1672	237	16	)	)	PUNCT
ap-1672	237	17	6	6	NUM
ap-1672	237	18	,	,	PUNCT
ap-1672	237	19	mk34	mk34	PROPN
ap-1672	237	20	=	=	SYM
ap-1672	237	21	r(ik)2(105(1−	r(ik)2(105(1−	ADJ
ap-1672	237	22	ν(ik+1	ν(ik+1	NOUN
ap-1672	237	23	)	)	PUNCT
ap-1672	237	24	)	)	PUNCT
ap-1672	238	1	+	+	CCONJ
ap-1672	238	2	12αk(7	12αk(7	NOUN
ap-1672	238	3	−	−	NOUN
ap-1672	238	4	10ν(ik+1))−	10ν(ik+1))−	NOUN
ap-1672	238	5	7ek	7ek	NOUN
ap-1672	238	6	)	)	PUNCT
ap-1672	239	1	35(1−	35(1−	NUM
ap-1672	239	2	2ν(ik	2ν(ik	NUM
ap-1672	239	3	)	)	PUNCT
ap-1672	239	4	)	)	PUNCT
ap-1672	239	5	,	,	PUNCT
ap-1672	239	6	and	and	CCONJ
ap-1672	239	7	ak	ak	PROPN
ap-1672	239	8	=	=	PUNCT
ap-1672	239	9	g(ik	g(ik	PROPN
ap-1672	239	10	)	)	PUNCT
ap-1672	239	11	g(ik+1	g(ik+1	NOUN
ap-1672	239	12	)	)	PUNCT
ap-1672	239	13	(	(	PUNCT
ap-1672	239	14	7	7	NUM
ap-1672	239	15	+	+	CCONJ
ap-1672	240	1	5g(ik))(7	5g(ik))(7	NUM
ap-1672	240	2	−	−	NOUN
ap-1672	240	3	10g(ik+1))−	10g(ik+1))−	NUM
ap-1672	240	4	(	(	PUNCT
ap-1672	240	5	7	7	NUM
ap-1672	240	6	−	−	PROPN
ap-1672	240	7	10g(ik))(7	10g(ik))(7	NUM
ap-1672	240	8	+	+	NOUN
ap-1672	240	9	5g(ik+1	5g(ik+1	NUM
ap-1672	240	10	)	)	PUNCT
ap-1672	240	11	)	)	PUNCT
ap-1672	240	12	,	,	PUNCT
ap-1672	240	13	bk	bk	ADP
ap-1672	240	14	=	=	SYM
ap-1672	240	15	g(ik	g(ik	PROPN
ap-1672	240	16	)	)	PUNCT
ap-1672	240	17	g(ik+1	g(ik+1	NOUN
ap-1672	240	18	)	)	PUNCT
ap-1672	240	19	(	(	PUNCT
ap-1672	240	20	7	7	NUM
ap-1672	240	21	+	+	NUM
ap-1672	240	22	5g(ik	5g(ik	NUM
ap-1672	240	23	)	)	PUNCT
ap-1672	240	24	)	)	PUNCT
ap-1672	241	1	+	+	CCONJ
ap-1672	241	2	4(7	4(7	NUM
ap-1672	241	3	−	−	NOUN
ap-1672	241	4	10g(ik	10g(ik	NOUN
ap-1672	241	5	)	)	PUNCT
ap-1672	241	6	)	)	PUNCT
ap-1672	241	7	,	,	PUNCT
ap-1672	241	8	ck	ck	NOUN
ap-1672	241	9	=	=	PUNCT
ap-1672	241	10	(	(	PUNCT
ap-1672	241	11	7	7	NUM
ap-1672	241	12	−	−	NUM
ap-1672	241	13	5g(ik+1	5g(ik+1	NUM
ap-1672	241	14	)	)	PUNCT
ap-1672	241	15	)	)	PUNCT
ap-1672	242	1	+	+	CCONJ
ap-1672	242	2	2(4−	2(4−	NUM
ap-1672	242	3	5g(ik+1	5g(ik+1	NUM
ap-1672	242	4	)	)	PUNCT
ap-1672	242	5	)	)	PUNCT
ap-1672	242	6	g(ik	g(ik	PROPN
ap-1672	242	7	)	)	PUNCT
ap-1672	242	8	g(ik+1	g(ik+1	PROPN
ap-1672	242	9	)	)	PUNCT
ap-1672	242	10	,	,	PUNCT
ap-1672	242	11	dk	dk	PROPN
ap-1672	242	12	=	=	X
ap-1672	242	13	(	(	PUNCT
ap-1672	242	14	7	7	NUM
ap-1672	242	15	+	+	NUM
ap-1672	242	16	5g(ik+1	5g(ik+1	NUM
ap-1672	242	17	)	)	PUNCT
ap-1672	242	18	)	)	PUNCT
ap-1672	243	1	+	+	CCONJ
ap-1672	243	2	4(7	4(7	NUM
ap-1672	243	3	−	−	NOUN
ap-1672	243	4	10g(ik+1	10g(ik+1	NUM
ap-1672	243	5	)	)	PUNCT
ap-1672	243	6	)	)	PUNCT
ap-1672	243	7	g(ik	g(ik	PROPN
ap-1672	243	8	)	)	PUNCT
ap-1672	243	9	g(ik+1	g(ik+1	PROPN
ap-1672	243	10	)	)	PUNCT
ap-1672	243	11	,	,	PUNCT
ap-1672	243	12	ek	ek	NOUN
ap-1672	243	13	=	=	PUNCT
ap-1672	243	14	2(4−	2(4−	NUM
ap-1672	243	15	5g(ik	5g(ik	NUM
ap-1672	243	16	)	)	PUNCT
ap-1672	243	17	)	)	PUNCT
ap-1672	244	1	+	+	CCONJ
ap-1672	244	2	g(ik	g(ik	NOUN
ap-1672	244	3	)	)	PUNCT
ap-1672	244	4	g(ik+1	g(ik+1	NOUN
ap-1672	244	5	)	)	PUNCT
ap-1672	244	6	(	(	PUNCT
ap-1672	244	7	7	7	NUM
ap-1672	244	8	−	−	PROPN
ap-1672	244	9	5g(ik	5g(ik	NUM
ap-1672	244	10	)	)	PUNCT
ap-1672	244	11	)	)	PUNCT
ap-1672	244	12	,	,	PUNCT
ap-1672	244	13	fk	fk	INTJ
ap-1672	244	14	=	=	SYM
ap-1672	244	15	(	(	PUNCT
ap-1672	244	16	4−	4−	NOUN
ap-1672	244	17	5g(ik))(7	5g(ik))(7	NUM
ap-1672	244	18	−	−	PROPN
ap-1672	244	19	5g(ik+1))−	5g(ik+1))−	NUM
ap-1672	244	20	g(ik	g(ik	NOUN
ap-1672	244	21	)	)	PUNCT
ap-1672	244	22	g(ik+1	g(ik+1	NOUN
ap-1672	244	23	)	)	PUNCT
ap-1672	244	24	(	(	PUNCT
ap-1672	244	25	4−	4−	NOUN
ap-1672	244	26	5g(ik+1))(7	5g(ik+1))(7	NUM
ap-1672	244	27	−	−	PROPN
ap-1672	244	28	5g(ik	5g(ik	NUM
ap-1672	244	29	)	)	PUNCT
ap-1672	244	30	)	)	PUNCT
ap-1672	244	31	,	,	PUNCT
ap-1672	244	32	αk	αk	CCONJ
ap-1672	244	33	=	=	SYM
ap-1672	244	34	g(ik	g(ik	PROPN
ap-1672	244	35	)	)	PUNCT
ap-1672	244	36	g(ik+1	g(ik+1	NOUN
ap-1672	244	37	)	)	PUNCT
ap-1672	244	38	−	−	NOUN
ap-1672	245	1	1	1	X
ap-1672	245	2	.	.	X
ap-1672	245	3	appendix	appendix	VERB
ap-1672	245	4	a	a	DET
ap-1672	245	5	:	:	PUNCT
ap-1672	245	6	herve	herve	ADJ
ap-1672	245	7	-	-	PUNCT
ap-1672	245	8	zaoui	zaoui	PROPN
ap-1672	245	9	solution	solution	NOUN
ap-1672	245	10	35	35	NUM
ap-1672	245	11	acta	acta	PROPN
ap-1672	245	12	polytechnica	polytechnica	PROPN
ap-1672	245	13	vol	vol	NOUN
ap-1672	245	14	.	.	PROPN
ap-1672	246	1	52	52	NUM
ap-1672	246	2	no	no	NOUN
ap-1672	246	3	.	.	PUNCT
ap-1672	247	1	6/2012	6/2012	NUM
ap-1672	247	2	references	reference	NOUN
ap-1672	247	3	[	[	X
ap-1672	247	4	1	1	NUM
ap-1672	247	5	]	]	PUNCT
ap-1672	247	6	a.	a.	NOUN
ap-1672	247	7	arizzi	arizzi	NOUN
ap-1672	247	8	,	,	PUNCT
ap-1672	247	9	g.	g.	PROPN
ap-1672	247	10	cultrone	cultrone	PROPN
ap-1672	247	11	.	.	PUNCT
ap-1672	248	1	aerial	aerial	ADJ
ap-1672	248	2	lime	lime	NOUN
ap-1672	248	3	-	-	PUNCT
ap-1672	248	4	based	base	VERB
ap-1672	248	5	mortars	mortar	NOUN
ap-1672	248	6	blended	blend	VERB
ap-1672	248	7	with	with	ADP
ap-1672	248	8	a	a	DET
ap-1672	248	9	pozzolanic	pozzolanic	ADJ
ap-1672	248	10	additive	additive	NOUN
ap-1672	248	11	and	and	CCONJ
ap-1672	248	12	different	different	ADJ
ap-1672	248	13	admixtures	admixture	NOUN
ap-1672	248	14	:	:	PUNCT
ap-1672	248	15	a	a	DET
ap-1672	248	16	mineralogical	mineralogical	ADJ
ap-1672	248	17	,	,	PUNCT
ap-1672	248	18	textural	textural	ADJ
ap-1672	248	19	and	and	CCONJ
ap-1672	248	20	physical	physical	ADJ
ap-1672	248	21	-	-	PUNCT
ap-1672	248	22	mechanical	mechanical	ADJ
ap-1672	248	23	study	study	NOUN
ap-1672	248	24	.	.	PUNCT
ap-1672	249	1	construction	construction	NOUN
ap-1672	249	2	and	and	CCONJ
ap-1672	249	3	building	building	NOUN
ap-1672	249	4	materials	material	NOUN
ap-1672	249	5	31:135–143	31:135–143	PROPN
ap-1672	249	6	,	,	PUNCT
ap-1672	249	7	2012	2012	NUM
ap-1672	249	8	.	.	PUNCT
ap-1672	250	1	[	[	X
ap-1672	250	2	2	2	NUM
ap-1672	250	3	]	]	X
ap-1672	250	4	g.	g.	PROPN
ap-1672	250	5	baronio	baronio	PROPN
ap-1672	250	6	,	,	PUNCT
ap-1672	250	7	l.	l.	PROPN
ap-1672	250	8	binda	binda	PROPN
ap-1672	250	9	.	.	PUNCT
ap-1672	251	1	study	study	NOUN
ap-1672	251	2	of	of	ADP
ap-1672	251	3	the	the	DET
ap-1672	251	4	pozzolanicity	pozzolanicity	NOUN
ap-1672	251	5	of	of	ADP
ap-1672	251	6	some	some	DET
ap-1672	251	7	bricks	brick	NOUN
ap-1672	251	8	and	and	CCONJ
ap-1672	251	9	clays	clay	NOUN
ap-1672	251	10	.	.	PUNCT
ap-1672	252	1	construction	construction	NOUN
ap-1672	252	2	and	and	CCONJ
ap-1672	252	3	building	building	NOUN
ap-1672	252	4	materials	material	NOUN
ap-1672	252	5	11:41–46	11:41–46	NUM
ap-1672	252	6	,	,	PUNCT
ap-1672	252	7	1997	1997	NUM
ap-1672	252	8	.	.	PUNCT
ap-1672	253	1	[	[	X
ap-1672	253	2	3	3	X
ap-1672	253	3	]	]	X
ap-1672	253	4	g.	g.	PROPN
ap-1672	253	5	baronio	baronio	PROPN
ap-1672	253	6	,	,	PUNCT
ap-1672	253	7	l.	l.	PROPN
ap-1672	253	8	binda	binda	PROPN
ap-1672	253	9	,	,	PUNCT
ap-1672	253	10	n.	n.	PROPN
ap-1672	253	11	lombardini	lombardini	PROPN
ap-1672	253	12	.	.	PUNCT
ap-1672	254	1	the	the	DET
ap-1672	254	2	role	role	NOUN
ap-1672	254	3	of	of	ADP
ap-1672	254	4	brick	brick	NOUN
ap-1672	254	5	pebbles	pebble	NOUN
ap-1672	254	6	and	and	CCONJ
ap-1672	254	7	dust	dust	NOUN
ap-1672	254	8	in	in	ADP
ap-1672	254	9	conglomerates	conglomerate	NOUN
ap-1672	254	10	based	base	VERB
ap-1672	254	11	on	on	ADP
ap-1672	254	12	hydrated	hydrated	ADJ
ap-1672	254	13	lime	lime	NOUN
ap-1672	254	14	and	and	CCONJ
ap-1672	254	15	crushed	crushed	ADJ
ap-1672	254	16	bricks	brick	NOUN
ap-1672	254	17	.	.	PUNCT
ap-1672	255	1	construction	construction	NOUN
ap-1672	255	2	and	and	CCONJ
ap-1672	255	3	building	building	NOUN
ap-1672	255	4	materials	material	NOUN
ap-1672	255	5	11:33–40	11:33–40	NUM
ap-1672	255	6	,	,	PUNCT
ap-1672	255	7	1997	1997	NUM
ap-1672	255	8	.	.	PUNCT
ap-1672	256	1	[	[	X
ap-1672	256	2	4	4	X
ap-1672	256	3	]	]	X
ap-1672	256	4	y.	y.	NOUN
ap-1672	256	5	benveniste	benveniste	PROPN
ap-1672	256	6	.	.	PUNCT
ap-1672	257	1	a	a	DET
ap-1672	257	2	new	new	ADJ
ap-1672	257	3	approach	approach	NOUN
ap-1672	257	4	to	to	ADP
ap-1672	257	5	the	the	DET
ap-1672	257	6	application	application	NOUN
ap-1672	257	7	of	of	ADP
ap-1672	257	8	mori	mori	PROPN
ap-1672	257	9	-	-	PUNCT
ap-1672	257	10	tanaka	tanaka	PROPN
ap-1672	257	11	theory	theory	NOUN
ap-1672	257	12	in	in	ADP
ap-1672	257	13	composite	composite	ADJ
ap-1672	257	14	materials	material	NOUN
ap-1672	257	15	.	.	PUNCT
ap-1672	258	1	mechanics	mechanic	NOUN
ap-1672	258	2	of	of	ADP
ap-1672	258	3	materials	material	NOUN
ap-1672	258	4	6:147–157	6:147–157	PROPN
ap-1672	258	5	,	,	PUNCT
ap-1672	258	6	1987	1987	NUM
ap-1672	258	7	.	.	PUNCT
ap-1672	259	1	[	[	X
ap-1672	259	2	5	5	NUM
ap-1672	259	3	]	]	X
ap-1672	259	4	o.	o.	PROPN
ap-1672	259	5	bernard	bernard	PROPN
ap-1672	259	6	,	,	PUNCT
ap-1672	259	7	ulm	ulm	VERB
ap-1672	259	8	f.-j	f.-j	PROPN
ap-1672	259	9	.	.	PROPN
ap-1672	259	10	,	,	PUNCT
ap-1672	259	11	e.	e.	PROPN
ap-1672	259	12	lemarchand	lemarchand	PROPN
ap-1672	259	13	.	.	PUNCT
ap-1672	260	1	a	a	DET
ap-1672	260	2	multiscale	multiscale	ADJ
ap-1672	260	3	micromechanics	micromechanic	NOUN
ap-1672	260	4	-	-	PUNCT
ap-1672	260	5	hydration	hydration	NOUN
ap-1672	260	6	model	model	NOUN
ap-1672	260	7	for	for	ADP
ap-1672	260	8	the	the	DET
ap-1672	260	9	early	early	ADJ
ap-1672	260	10	-	-	PUNCT
ap-1672	260	11	age	age	NOUN
ap-1672	260	12	elastic	elastic	ADJ
ap-1672	260	13	properties	property	NOUN
ap-1672	260	14	of	of	ADP
ap-1672	260	15	cement	cement	NOUN
ap-1672	260	16	-	-	PUNCT
ap-1672	260	17	based	base	VERB
ap-1672	260	18	materials	material	NOUN
ap-1672	260	19	.	.	PUNCT
ap-1672	261	1	cement	cement	NOUN
ap-1672	261	2	and	and	CCONJ
ap-1672	261	3	concrete	concrete	ADJ
ap-1672	261	4	research	research	NOUN
ap-1672	261	5	33:1293	33:1293	NUM
ap-1672	261	6	–	–	PUNCT
ap-1672	261	7	1309	1309	NUM
ap-1672	261	8	,	,	PUNCT
ap-1672	261	9	2003	2003	NUM
ap-1672	261	10	.	.	PUNCT
ap-1672	262	1	[	[	X
ap-1672	262	2	6	6	NUM
ap-1672	262	3	]	]	PUNCT
ap-1672	262	4	h.	h.	NOUN
ap-1672	262	5	böke	böke	NOUN
ap-1672	262	6	,	,	PUNCT
ap-1672	262	7	s.	s.	PROPN
ap-1672	262	8	akkurt	akkurt	PROPN
ap-1672	262	9	,	,	PUNCT
ap-1672	262	10	b.	b.	PROPN
ap-1672	262	11	ípekoǧlu	ípekoǧlu	PROPN
ap-1672	262	12	,	,	PUNCT
ap-1672	262	13	e.	e.	PROPN
ap-1672	262	14	uǧurlu	uǧurlu	PROPN
ap-1672	262	15	.	.	PUNCT
ap-1672	263	1	characteristics	characteristic	NOUN
ap-1672	263	2	of	of	ADP
ap-1672	263	3	brick	brick	NOUN
ap-1672	263	4	used	use	VERB
ap-1672	263	5	as	as	ADP
ap-1672	263	6	aggregate	aggregate	ADJ
ap-1672	263	7	in	in	ADP
ap-1672	263	8	historic	historic	ADJ
ap-1672	263	9	brick	brick	NOUN
ap-1672	263	10	-	-	PUNCT
ap-1672	263	11	lime	lime	NOUN
ap-1672	263	12	mortars	mortar	NOUN
ap-1672	263	13	and	and	CCONJ
ap-1672	263	14	plasters	plaster	NOUN
ap-1672	263	15	.	.	PUNCT
ap-1672	264	1	cement	cement	NOUN
ap-1672	264	2	and	and	CCONJ
ap-1672	264	3	concrete	concrete	ADJ
ap-1672	264	4	research	research	NOUN
ap-1672	264	5	36:1115–1122	36:1115–1122	NUM
ap-1672	264	6	,	,	PUNCT
ap-1672	264	7	2006	2006	NUM
ap-1672	264	8	.	.	PUNCT
ap-1672	265	1	[	[	X
ap-1672	265	2	7	7	X
ap-1672	265	3	]	]	X
ap-1672	265	4	g.	g.	PROPN
ap-1672	265	5	constantinides	constantinides	PROPN
ap-1672	265	6	,	,	PUNCT
ap-1672	265	7	f.j	f.j	PROPN
ap-1672	265	8	.	.	PROPN
ap-1672	265	9	ulm	ulm	PROPN
ap-1672	265	10	.	.	PUNCT
ap-1672	266	1	the	the	DET
ap-1672	266	2	effect	effect	NOUN
ap-1672	266	3	of	of	ADP
ap-1672	266	4	two	two	NUM
ap-1672	266	5	types	type	NOUN
ap-1672	266	6	of	of	ADP
ap-1672	266	7	c	c	NOUN
ap-1672	266	8	-	-	PUNCT
ap-1672	266	9	s	s	NOUN
ap-1672	266	10	-	-	NOUN
ap-1672	266	11	h	h	NOUN
ap-1672	266	12	on	on	ADP
ap-1672	266	13	the	the	DET
ap-1672	266	14	elasticity	elasticity	NOUN
ap-1672	266	15	of	of	ADP
ap-1672	266	16	cement	cement	NOUN
ap-1672	266	17	-	-	PUNCT
ap-1672	266	18	based	base	VERB
ap-1672	266	19	materials	material	NOUN
ap-1672	266	20	:	:	PUNCT
ap-1672	266	21	results	result	NOUN
ap-1672	266	22	from	from	ADP
ap-1672	266	23	nanoindentation	nanoindentation	NOUN
ap-1672	266	24	and	and	CCONJ
ap-1672	266	25	micromechanical	micromechanical	ADJ
ap-1672	266	26	modeling	modeling	NOUN
ap-1672	266	27	.	.	PUNCT
ap-1672	267	1	cement	cement	NOUN
ap-1672	267	2	and	and	CCONJ
ap-1672	267	3	concrete	concrete	ADJ
ap-1672	267	4	research	research	NOUN
ap-1672	267	5	34:67–80	34:67–80	PROPN
ap-1672	267	6	,	,	PUNCT
ap-1672	267	7	2004	2004	NUM
ap-1672	267	8	.	.	PUNCT
ap-1672	268	1	[	[	X
ap-1672	268	2	8	8	NUM
ap-1672	268	3	]	]	PUNCT
ap-1672	268	4	m.	m.	PROPN
ap-1672	268	5	f.	f.	PROPN
ap-1672	268	6	drdácký	drdácký	PROPN
ap-1672	268	7	,	,	PUNCT
ap-1672	268	8	d.	d.	PROPN
ap-1672	268	9	michoinová	michoinová	PROPN
ap-1672	268	10	.	.	PUNCT
ap-1672	269	1	lime	lime	NOUN
ap-1672	269	2	mortars	mortar	NOUN
ap-1672	269	3	with	with	ADP
ap-1672	269	4	natural	natural	ADJ
ap-1672	269	5	fibres	fibre	NOUN
ap-1672	269	6	.	.	PUNCT
ap-1672	270	1	in	in	ADP
ap-1672	270	2	a.	a.	PROPN
ap-1672	270	3	m.	m.	PROPN
ap-1672	270	4	brandt	brandt	PROPN
ap-1672	270	5	,	,	PUNCT
ap-1672	270	6	v.	v.	PROPN
ap-1672	270	7	c.	c.	PROPN
ap-1672	270	8	li	li	PROPN
ap-1672	270	9	,	,	PUNCT
ap-1672	270	10	i.	i.	PROPN
ap-1672	270	11	h.	h.	PROPN
ap-1672	270	12	marshall	marshall	PROPN
ap-1672	270	13	(	(	PUNCT
ap-1672	270	14	eds	eds	PROPN
ap-1672	270	15	.	.	PUNCT
ap-1672	270	16	)	)	PUNCT
ap-1672	270	17	,	,	PUNCT
ap-1672	270	18	brittle	brittle	ADJ
ap-1672	270	19	matrix	matrix	NOUN
ap-1672	270	20	composites	composite	VERB
ap-1672	270	21	7	7	NUM
ap-1672	270	22	:	:	PUNCT
ap-1672	270	23	proceedings	proceeding	NOUN
ap-1672	270	24	of	of	ADP
ap-1672	270	25	the	the	DET
ap-1672	270	26	7th	7th	ADJ
ap-1672	270	27	international	international	ADJ
ap-1672	270	28	symposium	symposium	NOUN
ap-1672	270	29	,	,	PUNCT
ap-1672	270	30	pp	pp	ADJ
ap-1672	270	31	.	.	PUNCT
ap-1672	271	1	523–532	523–532	NUM
ap-1672	271	2	.	.	PUNCT
ap-1672	272	1	institute	institute	PROPN
ap-1672	272	2	of	of	ADP
ap-1672	272	3	fundamental	fundamental	ADJ
ap-1672	272	4	technological	technological	ADJ
ap-1672	272	5	research	research	NOUN
ap-1672	272	6	,	,	PUNCT
ap-1672	272	7	woodhead	woodhead	NOUN
ap-1672	272	8	publishing	publishing	NOUN
ap-1672	272	9	limited	limit	VERB
ap-1672	272	10	,	,	PUNCT
ap-1672	272	11	cambridge	cambridge	PROPN
ap-1672	272	12	,	,	PUNCT
ap-1672	272	13	uk	uk	PROPN
ap-1672	272	14	,	,	PUNCT
ap-1672	272	15	2003	2003	NUM
ap-1672	272	16	.	.	PUNCT
ap-1672	273	1	[	[	X
ap-1672	273	2	9	9	NUM
ap-1672	273	3	]	]	SYM
ap-1672	273	4	j.d	j.d	PROPN
ap-1672	273	5	.	.	PROPN
ap-1672	273	6	eshelby	eshelby	PROPN
ap-1672	273	7	.	.	PUNCT
ap-1672	274	1	the	the	DET
ap-1672	274	2	determination	determination	NOUN
ap-1672	274	3	of	of	ADP
ap-1672	274	4	the	the	DET
ap-1672	274	5	elastic	elastic	ADJ
ap-1672	274	6	field	field	NOUN
ap-1672	274	7	of	of	ADP
ap-1672	274	8	an	an	DET
ap-1672	274	9	ellipsoidal	ellipsoidal	ADJ
ap-1672	274	10	inclusion	inclusion	NOUN
ap-1672	274	11	,	,	PUNCT
ap-1672	274	12	and	and	CCONJ
ap-1672	274	13	related	related	ADJ
ap-1672	274	14	problems	problem	NOUN
ap-1672	274	15	.	.	PUNCT
ap-1672	275	1	proceedings	proceeding	NOUN
ap-1672	275	2	of	of	ADP
ap-1672	275	3	the	the	DET
ap-1672	275	4	royal	royal	ADJ
ap-1672	275	5	society	society	NOUN
ap-1672	275	6	of	of	ADP
ap-1672	275	7	london	london	PROPN
ap-1672	275	8	241:376–396	241:376–396	NUM
ap-1672	275	9	,	,	PUNCT
ap-1672	275	10	1957	1957	NUM
ap-1672	275	11	.	.	PUNCT
ap-1672	276	1	[	[	X
ap-1672	276	2	10	10	NUM
ap-1672	276	3	]	]	X
ap-1672	276	4	e.	e.	PROPN
ap-1672	276	5	herve	herve	PROPN
ap-1672	276	6	,	,	PUNCT
ap-1672	276	7	a.	a.	NOUN
ap-1672	276	8	zaoui	zaoui	PROPN
ap-1672	276	9	.	.	PUNCT
ap-1672	277	1	n	n	CCONJ
ap-1672	277	2	-	-	PUNCT
ap-1672	277	3	layered	layer	VERB
ap-1672	277	4	inclusion	inclusion	NOUN
ap-1672	277	5	-	-	PUNCT
ap-1672	277	6	based	base	VERB
ap-1672	277	7	micromechanical	micromechanical	ADJ
ap-1672	277	8	modelling	modelling	NOUN
ap-1672	277	9	.	.	PUNCT
ap-1672	278	1	international	international	ADJ
ap-1672	278	2	journal	journal	NOUN
ap-1672	278	3	of	of	ADP
ap-1672	278	4	engineering	engineering	NOUN
ap-1672	278	5	science	science	NOUN
ap-1672	278	6	31:1–10	31:1–10	NUM
ap-1672	278	7	,	,	PUNCT
ap-1672	278	8	1993	1993	NUM
ap-1672	278	9	.	.	PUNCT
ap-1672	279	1	[	[	X
ap-1672	279	2	11	11	NUM
ap-1672	279	3	]	]	PUNCT
ap-1672	279	4	r.	r.	PROPN
ap-1672	279	5	hill	hill	PROPN
ap-1672	279	6	.	.	PUNCT
ap-1672	280	1	elastic	elastic	ADJ
ap-1672	280	2	properties	property	NOUN
ap-1672	280	3	of	of	ADP
ap-1672	280	4	reinforced	reinforce	VERB
ap-1672	280	5	solids	solid	NOUN
ap-1672	280	6	:	:	PUNCT
ap-1672	280	7	some	some	DET
ap-1672	280	8	theoretical	theoretical	ADJ
ap-1672	280	9	principles	principle	NOUN
ap-1672	280	10	.	.	PUNCT
ap-1672	281	1	journal	journal	NOUN
ap-1672	281	2	of	of	ADP
ap-1672	281	3	the	the	DET
ap-1672	281	4	mechanics	mechanic	NOUN
ap-1672	281	5	and	and	CCONJ
ap-1672	281	6	physics	physic	NOUN
ap-1672	281	7	of	of	ADP
ap-1672	281	8	solids	solid	NOUN
ap-1672	281	9	11(5):357–372	11(5):357–372	PROPN
ap-1672	281	10	,	,	PUNCT
ap-1672	281	11	1963	1963	NUM
ap-1672	281	12	.	.	PUNCT
ap-1672	282	1	[	[	X
ap-1672	282	2	12	12	NUM
ap-1672	282	3	]	]	X
ap-1672	282	4	j.t	j.t	PROPN
ap-1672	282	5	.	.	PROPN
ap-1672	282	6	jeffrey	jeffrey	PROPN
ap-1672	282	7	,	,	PUNCT
ap-1672	282	8	m.j	m.j	PROPN
ap-1672	282	9	.	.	PROPN
ap-1672	282	10	hamlin	hamlin	PROPN
ap-1672	282	11	.	.	PUNCT
ap-1672	283	1	a	a	DET
ap-1672	283	2	colloidal	colloidal	NOUN
ap-1672	283	3	interpretation	interpretation	NOUN
ap-1672	283	4	of	of	ADP
ap-1672	283	5	chemical	chemical	NOUN
ap-1672	283	6	aging	aging	NOUN
ap-1672	283	7	of	of	ADP
ap-1672	283	8	the	the	DET
ap-1672	283	9	c	c	PROPN
ap-1672	283	10	-	-	PUNCT
ap-1672	283	11	s	s	NOUN
ap-1672	283	12	-	-	PUNCT
ap-1672	283	13	h	h	NOUN
ap-1672	283	14	gel	gel	NOUN
ap-1672	283	15	and	and	CCONJ
ap-1672	283	16	its	its	PRON
ap-1672	283	17	effects	effect	NOUN
ap-1672	283	18	on	on	ADP
ap-1672	283	19	the	the	DET
ap-1672	283	20	properties	property	NOUN
ap-1672	283	21	of	of	ADP
ap-1672	283	22	cement	cement	NOUN
ap-1672	283	23	paste	paste	NOUN
ap-1672	283	24	.	.	PUNCT
ap-1672	284	1	cement	cement	NOUN
ap-1672	284	2	and	and	CCONJ
ap-1672	284	3	concrete	concrete	ADJ
ap-1672	284	4	research	research	NOUN
ap-1672	284	5	36:30–38	36:30–38	NUM
ap-1672	284	6	,	,	PUNCT
ap-1672	284	7	2006	2006	NUM
ap-1672	284	8	.	.	PUNCT
ap-1672	285	1	[	[	X
ap-1672	285	2	13	13	NUM
ap-1672	285	3	]	]	PUNCT
ap-1672	285	4	m.	m.	NOUN
ap-1672	285	5	jirásek	jirásek	NOUN
ap-1672	285	6	.	.	PUNCT
ap-1672	286	1	basic	basic	ADJ
ap-1672	286	2	concepts	concept	NOUN
ap-1672	286	3	and	and	CCONJ
ap-1672	286	4	equations	equation	NOUN
ap-1672	286	5	of	of	ADP
ap-1672	286	6	solid	solid	ADJ
ap-1672	286	7	mechanics	mechanic	NOUN
ap-1672	286	8	.	.	PUNCT
ap-1672	287	1	revue	revue	PROPN
ap-1672	287	2	européenne	européenne	PROPN
ap-1672	287	3	de	de	PROPN
ap-1672	287	4	génie	génie	PROPN
ap-1672	287	5	civil	civil	PROPN
ap-1672	287	6	11:879–892	11:879–892	PROPN
ap-1672	287	7	,	,	PUNCT
ap-1672	287	8	2007	2007	NUM
ap-1672	287	9	.	.	PUNCT
ap-1672	288	1	[	[	X
ap-1672	288	2	14	14	NUM
ap-1672	288	3	]	]	X
ap-1672	288	4	w.	w.	PROPN
ap-1672	288	5	kreher	kreher	PROPN
ap-1672	288	6	.	.	PUNCT
ap-1672	289	1	residual	residual	ADJ
ap-1672	289	2	stresses	stress	NOUN
ap-1672	289	3	and	and	CCONJ
ap-1672	289	4	stored	store	VERB
ap-1672	289	5	elastic	elastic	ADJ
ap-1672	289	6	energy	energy	NOUN
ap-1672	289	7	of	of	ADP
ap-1672	289	8	composites	composite	NOUN
ap-1672	289	9	and	and	CCONJ
ap-1672	289	10	polycrystals	polycrystal	NOUN
ap-1672	289	11	.	.	PUNCT
ap-1672	290	1	journal	journal	NOUN
ap-1672	290	2	of	of	ADP
ap-1672	290	3	the	the	DET
ap-1672	290	4	mechanics	mechanic	NOUN
ap-1672	290	5	and	and	CCONJ
ap-1672	290	6	physics	physic	NOUN
ap-1672	290	7	of	of	ADP
ap-1672	290	8	solids	solid	NOUN
ap-1672	290	9	38:115–128	38:115–128	PROPN
ap-1672	290	10	,	,	PUNCT
ap-1672	290	11	1990	1990	NUM
ap-1672	290	12	.	.	PUNCT
ap-1672	291	1	[	[	X
ap-1672	291	2	15	15	NUM
ap-1672	291	3	]	]	X
ap-1672	291	4	r.m.h	r.m.h	NOUN
ap-1672	291	5	.	.	PUNCT
ap-1672	291	6	lawrence	lawrence	PROPN
ap-1672	291	7	.	.	PUNCT
ap-1672	292	1	a	a	DET
ap-1672	292	2	study	study	NOUN
ap-1672	292	3	of	of	ADP
ap-1672	292	4	carbonation	carbonation	NOUN
ap-1672	292	5	in	in	ADP
ap-1672	292	6	nonhydraulic	nonhydraulic	ADJ
ap-1672	292	7	lime	lime	NOUN
ap-1672	292	8	mortars	mortar	NOUN
ap-1672	292	9	.	.	PUNCT
ap-1672	293	1	ph.d	ph.d	PROPN
ap-1672	293	2	.	.	PUNCT
ap-1672	294	1	thesis	thesis	NOUN
ap-1672	294	2	,	,	PUNCT
ap-1672	294	3	university	university	NOUN
ap-1672	294	4	of	of	ADP
ap-1672	294	5	bath	bath	NOUN
ap-1672	294	6	,	,	PUNCT
ap-1672	294	7	2006	2006	NUM
ap-1672	294	8	.	.	PUNCT
ap-1672	295	1	[	[	X
ap-1672	295	2	16	16	NUM
ap-1672	295	3	]	]	X
ap-1672	295	4	p.	p.	NOUN
ap-1672	295	5	maravelaki	maravelaki	PROPN
ap-1672	295	6	-	-	PUNCT
ap-1672	295	7	kalaitzaki	kalaitzaki	PROPN
ap-1672	295	8	,	,	PUNCT
ap-1672	295	9	a.	a.	NOUN
ap-1672	295	10	bakolas	bakolas	PROPN
ap-1672	295	11	,	,	PUNCT
ap-1672	295	12	a.	a.	PROPN
ap-1672	295	13	moropoulou	moropoulou	PROPN
ap-1672	295	14	.	.	PUNCT
ap-1672	296	1	physico	physico	NOUN
ap-1672	296	2	-	-	PUNCT
ap-1672	296	3	chemical	chemical	NOUN
ap-1672	296	4	study	study	NOUN
ap-1672	296	5	of	of	ADP
ap-1672	296	6	cretan	cretan	PROPN
ap-1672	296	7	ancient	ancient	ADJ
ap-1672	296	8	mortars	mortar	NOUN
ap-1672	296	9	.	.	PUNCT
ap-1672	297	1	cement	cement	NOUN
ap-1672	297	2	and	and	CCONJ
ap-1672	297	3	concrete	concrete	ADJ
ap-1672	297	4	research	research	NOUN
ap-1672	297	5	33:651–661	33:651–661	PROPN
ap-1672	297	6	,	,	PUNCT
ap-1672	297	7	2003	2003	NUM
ap-1672	297	8	.	.	PUNCT
ap-1672	298	1	[	[	X
ap-1672	298	2	17	17	NUM
ap-1672	298	3	]	]	X
ap-1672	298	4	d.	d.	PROPN
ap-1672	298	5	michoniová	michoniová	PROPN
ap-1672	298	6	.	.	PUNCT
ap-1672	299	1	questions	question	NOUN
ap-1672	299	2	about	about	ADP
ap-1672	299	3	renovation	renovation	NOUN
ap-1672	299	4	plasters	plaster	NOUN
ap-1672	299	5	.	.	PUNCT
ap-1672	300	1	zprávy	zprávy	NOUN
ap-1672	300	2	památkové	památkové	VERB
ap-1672	300	3	péče	péče	NOUN
ap-1672	300	4	65:313–316	65:313–316	PROPN
ap-1672	300	5	,	,	PUNCT
ap-1672	300	6	2005	2005	NUM
ap-1672	300	7	.	.	PUNCT
ap-1672	301	1	in	in	ADP
ap-1672	301	2	czech	czech	PROPN
ap-1672	301	3	.	.	PUNCT
ap-1672	302	1	[	[	X
ap-1672	302	2	18	18	NUM
ap-1672	302	3	]	]	X
ap-1672	302	4	g.	g.	PROPN
ap-1672	302	5	w.	w.	PROPN
ap-1672	302	6	milton	milton	PROPN
ap-1672	302	7	.	.	PUNCT
ap-1672	303	1	the	the	DET
ap-1672	303	2	theory	theory	NOUN
ap-1672	303	3	of	of	ADP
ap-1672	303	4	composites	composite	NOUN
ap-1672	303	5	.	.	PUNCT
ap-1672	304	1	cambridge	cambridge	PROPN
ap-1672	304	2	monographs	monograph	NOUN
ap-1672	304	3	on	on	ADP
ap-1672	304	4	applied	applied	ADJ
ap-1672	304	5	and	and	CCONJ
ap-1672	304	6	computational	computational	ADJ
ap-1672	304	7	mathematics	mathematic	NOUN
ap-1672	304	8	.	.	PUNCT
ap-1672	305	1	cambridge	cambridge	PROPN
ap-1672	305	2	university	university	PROPN
ap-1672	305	3	press	press	NOUN
ap-1672	305	4	,	,	PUNCT
ap-1672	305	5	2002	2002	NUM
ap-1672	305	6	.	.	PUNCT
ap-1672	306	1	[	[	X
ap-1672	306	2	19	19	NUM
ap-1672	306	3	]	]	PUNCT
ap-1672	306	4	t.	t.	NOUN
ap-1672	306	5	mori	mori	PROPN
ap-1672	306	6	,	,	PUNCT
ap-1672	306	7	tanaka	tanaka	PROPN
ap-1672	306	8	k.	k.	PROPN
ap-1672	306	9	average	average	ADJ
ap-1672	306	10	stress	stress	NOUN
ap-1672	306	11	in	in	ADP
ap-1672	306	12	matrix	matrix	NOUN
ap-1672	306	13	and	and	CCONJ
ap-1672	306	14	average	average	ADJ
ap-1672	306	15	elastic	elastic	ADJ
ap-1672	306	16	energy	energy	NOUN
ap-1672	306	17	of	of	ADP
ap-1672	306	18	materials	material	NOUN
ap-1672	306	19	with	with	ADP
ap-1672	306	20	mixfitting	mixfitte	VERB
ap-1672	306	21	inclusions	inclusion	NOUN
ap-1672	306	22	.	.	PUNCT
ap-1672	307	1	acta	acta	PROPN
ap-1672	307	2	metallurgica	metallurgica	PROPN
ap-1672	307	3	21:571–574	21:571–574	PROPN
ap-1672	307	4	,	,	PUNCT
ap-1672	307	5	1973	1973	NUM
ap-1672	307	6	.	.	PUNCT
ap-1672	308	1	[	[	X
ap-1672	308	2	20	20	NUM
ap-1672	308	3	]	]	PUNCT
ap-1672	308	4	a.	a.	NOUN
ap-1672	308	5	moropoulou	moropoulou	PROPN
ap-1672	308	6	,	,	PUNCT
ap-1672	308	7	a.	a.	NOUN
ap-1672	308	8	bakolas	bakolas	PROPN
ap-1672	308	9	,	,	PUNCT
ap-1672	308	10	k.	k.	PROPN
ap-1672	308	11	bisbikou	bisbikou	PROPN
ap-1672	308	12	.	.	PUNCT
ap-1672	309	1	characterization	characterization	NOUN
ap-1672	309	2	of	of	ADP
ap-1672	309	3	ancient	ancient	ADJ
ap-1672	309	4	,	,	PUNCT
ap-1672	309	5	byzantine	byzantine	ADJ
ap-1672	309	6	and	and	CCONJ
ap-1672	309	7	later	later	ADV
ap-1672	309	8	historic	historic	ADJ
ap-1672	309	9	mortars	mortar	NOUN
ap-1672	309	10	by	by	ADP
ap-1672	309	11	thermal	thermal	ADJ
ap-1672	309	12	and	and	CCONJ
ap-1672	309	13	x	x	NOUN
ap-1672	309	14	-	-	NOUN
ap-1672	309	15	ray	ray	NOUN
ap-1672	309	16	diffraction	diffraction	NOUN
ap-1672	309	17	techniques	technique	NOUN
ap-1672	309	18	.	.	PUNCT
ap-1672	310	1	thermochemica	thermochemica	PROPN
ap-1672	310	2	acta	acta	PROPN
ap-1672	310	3	269/270:779–995	269/270:779–995	PROPN
ap-1672	310	4	,	,	PUNCT
ap-1672	310	5	1995	1995	NUM
ap-1672	310	6	.	.	PUNCT
ap-1672	311	1	[	[	X
ap-1672	311	2	21	21	NUM
ap-1672	311	3	]	]	X
ap-1672	311	4	a.	a.	NOUN
ap-1672	311	5	moropoulou	moropoulou	PROPN
ap-1672	311	6	,	,	PUNCT
ap-1672	311	7	a.s	a.s	PROPN
ap-1672	311	8	.	.	PROPN
ap-1672	311	9	cakmak	cakmak	PROPN
ap-1672	311	10	,	,	PUNCT
ap-1672	311	11	g.	g.	PROPN
ap-1672	311	12	biscontin	biscontin	PROPN
ap-1672	311	13	,	,	PUNCT
ap-1672	311	14	et	et	PROPN
ap-1672	311	15	al	al	PROPN
ap-1672	311	16	.	.	PROPN
ap-1672	312	1	advanced	advanced	ADJ
ap-1672	312	2	byzantine	byzantine	ADJ
ap-1672	312	3	cement	cement	NOUN
ap-1672	312	4	based	base	VERB
ap-1672	312	5	composites	composite	NOUN
ap-1672	313	1	resisting	resist	VERB
ap-1672	313	2	earthquake	earthquake	NOUN
ap-1672	313	3	stresses	stress	VERB
ap-1672	313	4	:	:	PUNCT
ap-1672	313	5	the	the	DET
ap-1672	313	6	crushed	crushed	ADJ
ap-1672	313	7	brick	brick	NOUN
ap-1672	313	8	/	/	SYM
ap-1672	313	9	lime	lime	NOUN
ap-1672	313	10	mortars	mortar	NOUN
ap-1672	313	11	of	of	ADP
ap-1672	313	12	justinian	justinian	PROPN
ap-1672	313	13	’s	’s	PART
ap-1672	313	14	hagia	hagia	PROPN
ap-1672	313	15	sophia	sophia	PROPN
ap-1672	313	16	.	.	PUNCT
ap-1672	314	1	construction	construction	NOUN
ap-1672	314	2	and	and	CCONJ
ap-1672	314	3	building	building	NOUN
ap-1672	314	4	materials	material	NOUN
ap-1672	314	5	16(8):543	16(8):543	NUM
ap-1672	314	6	–	–	PUNCT
ap-1672	314	7	552	552	NUM
ap-1672	314	8	,	,	PUNCT
ap-1672	314	9	2002	2002	NUM
ap-1672	314	10	.	.	PUNCT
ap-1672	315	1	[	[	X
ap-1672	315	2	22	22	NUM
ap-1672	315	3	]	]	X
ap-1672	315	4	m.j	m.j	PROPN
ap-1672	315	5	.	.	PROPN
ap-1672	315	6	mosquera	mosquera	PROPN
ap-1672	315	7	,	,	PUNCT
ap-1672	315	8	b.	b.	PROPN
ap-1672	315	9	silva	silva	PROPN
ap-1672	315	10	,	,	PUNCT
ap-1672	315	11	b.	b.	PROPN
ap-1672	315	12	prieto	prieto	PROPN
ap-1672	315	13	,	,	PUNCT
ap-1672	315	14	e.	e.	PROPN
ap-1672	315	15	ruizherrera	ruizherrera	PROPN
ap-1672	315	16	.	.	PUNCT
ap-1672	316	1	addition	addition	NOUN
ap-1672	316	2	of	of	ADP
ap-1672	316	3	cement	cement	NOUN
ap-1672	316	4	to	to	ADP
ap-1672	316	5	lime	lime	NOUN
ap-1672	316	6	-	-	PUNCT
ap-1672	316	7	based	base	VERB
ap-1672	316	8	mortars	mortar	NOUN
ap-1672	316	9	:	:	PUNCT
ap-1672	316	10	effect	effect	NOUN
ap-1672	316	11	on	on	ADP
ap-1672	316	12	pore	pore	ADJ
ap-1672	316	13	structure	structure	NOUN
ap-1672	316	14	and	and	CCONJ
ap-1672	316	15	vapor	vapor	NOUN
ap-1672	316	16	transport	transport	NOUN
ap-1672	316	17	.	.	PUNCT
ap-1672	317	1	cement	cement	NOUN
ap-1672	317	2	and	and	CCONJ
ap-1672	317	3	concrete	concrete	ADJ
ap-1672	317	4	research	research	NOUN
ap-1672	317	5	36:1635–1642	36:1635–1642	NUM
ap-1672	317	6	,	,	PUNCT
ap-1672	317	7	2006	2006	NUM
ap-1672	317	8	.	.	PUNCT
ap-1672	318	1	[	[	X
ap-1672	318	2	23	23	NUM
ap-1672	318	3	]	]	PUNCT
ap-1672	318	4	a.m.	a.m.	PROPN
ap-1672	319	1	neville	neville	PROPN
ap-1672	319	2	.	.	PUNCT
ap-1672	320	1	properties	property	NOUN
ap-1672	320	2	of	of	ADP
ap-1672	320	3	concrete	concrete	NOUN
ap-1672	320	4	:	:	PUNCT
ap-1672	320	5	fourth	fourth	PROPN
ap-1672	320	6	edition	edition	NOUN
ap-1672	320	7	.	.	PUNCT
ap-1672	321	1	longman	longman	PROPN
ap-1672	321	2	,	,	PUNCT
ap-1672	321	3	1996	1996	NUM
ap-1672	321	4	.	.	PUNCT
ap-1672	322	1	[	[	X
ap-1672	322	2	24	24	NUM
ap-1672	322	3	]	]	X
ap-1672	322	4	j.p	j.p	PROPN
ap-1672	322	5	.	.	PROPN
ap-1672	322	6	ollivier	ollivier	PROPN
ap-1672	322	7	,	,	PUNCT
ap-1672	322	8	j.	j.	PROPN
ap-1672	322	9	c.	c.	PROPN
ap-1672	322	10	maso	maso	PROPN
ap-1672	322	11	,	,	PUNCT
ap-1672	322	12	b.	b.	PROPN
ap-1672	322	13	bourdette	bourdette	PROPN
ap-1672	322	14	.	.	PUNCT
ap-1672	323	1	interfacial	interfacial	ADJ
ap-1672	323	2	transition	transition	NOUN
ap-1672	323	3	zone	zone	NOUN
ap-1672	323	4	in	in	ADP
ap-1672	323	5	concrete	concrete	NOUN
ap-1672	323	6	.	.	PUNCT
ap-1672	324	1	advanced	advanced	ADJ
ap-1672	324	2	cement	cement	NOUN
ap-1672	324	3	based	base	VERB
ap-1672	324	4	materials	material	NOUN
ap-1672	324	5	2:30–38	2:30–38	NUM
ap-1672	324	6	,	,	PUNCT
ap-1672	324	7	1995	1995	NUM
ap-1672	324	8	.	.	PUNCT
ap-1672	325	1	36	36	NUM
ap-1672	325	2	acta	acta	PROPN
ap-1672	325	3	polytechnica	polytechnica	PROPN
ap-1672	325	4	vol	vol	NOUN
ap-1672	325	5	.	.	PROPN
ap-1672	326	1	52	52	NUM
ap-1672	326	2	no	no	NOUN
ap-1672	326	3	.	.	PUNCT
ap-1672	327	1	6/2012	6/2012	NUM
ap-1672	328	1	[	[	X
ap-1672	328	2	25	25	NUM
ap-1672	328	3	]	]	PUNCT
ap-1672	328	4	i.	i.	PROPN
ap-1672	328	5	papayianni	papayianni	PROPN
ap-1672	328	6	,	,	PUNCT
ap-1672	328	7	m.	m.	NOUN
ap-1672	328	8	stefanidou	stefanidou	NOUN
ap-1672	328	9	.	.	PUNCT
ap-1672	329	1	strength	strength	NOUN
ap-1672	329	2	-	-	PUNCT
ap-1672	329	3	porosity	porosity	NOUN
ap-1672	329	4	relationships	relationship	NOUN
ap-1672	329	5	in	in	ADP
ap-1672	329	6	lime	lime	NOUN
ap-1672	329	7	-	-	PUNCT
ap-1672	329	8	pozzolan	pozzolan	NOUN
ap-1672	329	9	mortars	mortar	NOUN
ap-1672	329	10	.	.	PUNCT
ap-1672	330	1	construction	construction	NOUN
ap-1672	330	2	and	and	CCONJ
ap-1672	330	3	building	building	NOUN
ap-1672	330	4	materials	material	NOUN
ap-1672	330	5	20:700–705	20:700–705	NUM
ap-1672	330	6	,	,	PUNCT
ap-1672	330	7	2005	2005	NUM
ap-1672	330	8	.	.	PUNCT
ap-1672	331	1	[	[	X
ap-1672	331	2	26	26	NUM
ap-1672	331	3	]	]	PUNCT
ap-1672	331	4	b.	b.	NOUN
ap-1672	331	5	pichler	pichler	NOUN
ap-1672	331	6	,	,	PUNCT
ap-1672	331	7	c.	c.	PROPN
ap-1672	331	8	hellmich	hellmich	PROPN
ap-1672	331	9	.	.	PUNCT
ap-1672	332	1	upscaling	upscale	VERB
ap-1672	332	2	quasi	quasi	ADJ
ap-1672	332	3	-	-	ADJ
ap-1672	332	4	brittle	brittle	ADJ
ap-1672	332	5	strength	strength	NOUN
ap-1672	332	6	of	of	ADP
ap-1672	332	7	cement	cement	NOUN
ap-1672	332	8	paste	paste	NOUN
ap-1672	332	9	and	and	CCONJ
ap-1672	332	10	mortar	mortar	NOUN
ap-1672	332	11	:	:	PUNCT
ap-1672	332	12	a	a	DET
ap-1672	332	13	multiscale	multiscale	ADJ
ap-1672	332	14	engineering	engineering	NOUN
ap-1672	332	15	mechanics	mechanic	NOUN
ap-1672	332	16	model	model	NOUN
ap-1672	332	17	.	.	PUNCT
ap-1672	333	1	cement	cement	NOUN
ap-1672	333	2	and	and	CCONJ
ap-1672	333	3	concrete	concrete	ADJ
ap-1672	333	4	research	research	NOUN
ap-1672	333	5	41:467–476	41:467–476	PROPN
ap-1672	333	6	,	,	PUNCT
ap-1672	333	7	2011	2011	NUM
ap-1672	333	8	.	.	PUNCT
ap-1672	334	1	[	[	X
ap-1672	334	2	27	27	NUM
ap-1672	334	3	]	]	X
ap-1672	334	4	b.	b.	NOUN
ap-1672	334	5	pichler	pichler	NOUN
ap-1672	334	6	,	,	PUNCT
ap-1672	334	7	c.	c.	PROPN
ap-1672	334	8	hellmich	hellmich	PROPN
ap-1672	334	9	,	,	PUNCT
ap-1672	334	10	j.	j.	PROPN
ap-1672	334	11	eberhardsteiner	eberhardsteiner	PROPN
ap-1672	334	12	.	.	PUNCT
ap-1672	335	1	spherical	spherical	ADJ
ap-1672	335	2	and	and	CCONJ
ap-1672	335	3	acicular	acicular	ADJ
ap-1672	335	4	representation	representation	NOUN
ap-1672	335	5	of	of	ADP
ap-1672	335	6	hydrates	hydrate	NOUN
ap-1672	335	7	in	in	ADP
ap-1672	335	8	a	a	DET
ap-1672	335	9	micromechanical	micromechanical	ADJ
ap-1672	335	10	model	model	NOUN
ap-1672	335	11	for	for	ADP
ap-1672	335	12	cement	cement	NOUN
ap-1672	335	13	paste	paste	NOUN
ap-1672	335	14	:	:	PUNCT
ap-1672	335	15	prediction	prediction	NOUN
ap-1672	335	16	of	of	ADP
ap-1672	335	17	early	early	ADJ
ap-1672	335	18	-	-	PUNCT
ap-1672	335	19	age	age	NOUN
ap-1672	335	20	elasticity	elasticity	NOUN
ap-1672	335	21	and	and	CCONJ
ap-1672	335	22	strength	strength	NOUN
ap-1672	335	23	.	.	PUNCT
ap-1672	336	1	acta	acta	PROPN
ap-1672	336	2	mechanica	mechanica	PROPN
ap-1672	336	3	203(3):137–162	203(3):137–162	PROPN
ap-1672	336	4	,	,	PUNCT
ap-1672	336	5	2009	2009	NUM
ap-1672	336	6	.	.	PUNCT
ap-1672	337	1	[	[	X
ap-1672	337	2	28	28	NUM
ap-1672	337	3	]	]	X
ap-1672	337	4	k.l	k.l	PROPN
ap-1672	337	5	.	.	PROPN
ap-1672	337	6	scrivener	scrivener	PROPN
ap-1672	337	7	,	,	PUNCT
ap-1672	337	8	a.k	a.k	PROPN
ap-1672	337	9	.	.	PROPN
ap-1672	337	10	crumbie	crumbie	PROPN
ap-1672	337	11	,	,	PUNCT
ap-1672	337	12	p.	p.	PROPN
ap-1672	337	13	laugesen	laugesen	PROPN
ap-1672	337	14	.	.	PUNCT
ap-1672	338	1	the	the	DET
ap-1672	338	2	interfacial	interfacial	ADJ
ap-1672	338	3	transition	transition	NOUN
ap-1672	338	4	zone	zone	NOUN
ap-1672	338	5	(	(	PUNCT
ap-1672	338	6	itz	itz	PROPN
ap-1672	338	7	)	)	PUNCT
ap-1672	338	8	between	between	ADP
ap-1672	338	9	cement	cement	NOUN
ap-1672	338	10	paste	paste	NOUN
ap-1672	338	11	and	and	CCONJ
ap-1672	338	12	aggregate	aggregate	VERB
ap-1672	338	13	in	in	ADP
ap-1672	338	14	concrete	concrete	NOUN
ap-1672	338	15	.	.	PUNCT
ap-1672	339	1	interface	interface	NOUN
ap-1672	339	2	science	science	NOUN
ap-1672	339	3	12:411–421	12:411–421	PROPN
ap-1672	339	4	,	,	PUNCT
ap-1672	339	5	2004	2004	NUM
ap-1672	339	6	.	.	PUNCT
ap-1672	340	1	[	[	X
ap-1672	340	2	29	29	NUM
ap-1672	340	3	]	]	PUNCT
ap-1672	340	4	a.	a.	NOUN
ap-1672	340	5	sepulcre	sepulcre	PROPN
ap-1672	340	6	-	-	PUNCT
ap-1672	340	7	aguilar	aguilar	PROPN
ap-1672	340	8	,	,	PUNCT
ap-1672	340	9	f.	f.	PROPN
ap-1672	340	10	hernández	hernández	PROPN
ap-1672	340	11	-	-	PUNCT
ap-1672	340	12	olivares	olivares	PROPN
ap-1672	340	13	.	.	PUNCT
ap-1672	341	1	assessment	assessment	NOUN
ap-1672	341	2	of	of	ADP
ap-1672	341	3	phase	phase	NOUN
ap-1672	341	4	formation	formation	NOUN
ap-1672	341	5	in	in	ADP
ap-1672	341	6	lime	lime	NOUN
ap-1672	341	7	-	-	PUNCT
ap-1672	341	8	based	base	VERB
ap-1672	341	9	mortars	mortar	NOUN
ap-1672	341	10	with	with	ADP
ap-1672	341	11	added	add	VERB
ap-1672	341	12	metakaolin	metakaolin	PROPN
ap-1672	341	13	,	,	PUNCT
ap-1672	341	14	portland	portland	PROPN
ap-1672	341	15	cement	cement	NOUN
ap-1672	341	16	and	and	CCONJ
ap-1672	341	17	sepiolite	sepiolite	NOUN
ap-1672	341	18	,	,	PUNCT
ap-1672	341	19	for	for	ADP
ap-1672	341	20	grouting	grout	VERB
ap-1672	341	21	of	of	ADP
ap-1672	341	22	historic	historic	ADJ
ap-1672	341	23	masonry	masonry	NOUN
ap-1672	341	24	.	.	PUNCT
ap-1672	342	1	cement	cement	NOUN
ap-1672	342	2	and	and	CCONJ
ap-1672	342	3	concrete	concrete	ADJ
ap-1672	342	4	research	research	NOUN
ap-1672	342	5	40:66–76	40:66–76	PROPN
ap-1672	342	6	,	,	PUNCT
ap-1672	342	7	2010	2010	NUM
ap-1672	342	8	.	.	PUNCT
ap-1672	343	1	[	[	X
ap-1672	343	2	30	30	NUM
ap-1672	343	3	]	]	X
ap-1672	343	4	m.	m.	NOUN
ap-1672	343	5	stefanidou	stefanidou	NOUN
ap-1672	343	6	,	,	PUNCT
ap-1672	343	7	i.	i.	PROPN
ap-1672	343	8	papayianni	papayianni	PROPN
ap-1672	343	9	.	.	PUNCT
ap-1672	344	1	the	the	DET
ap-1672	344	2	role	role	NOUN
ap-1672	344	3	of	of	ADP
ap-1672	344	4	aggregates	aggregate	NOUN
ap-1672	344	5	on	on	ADP
ap-1672	344	6	the	the	DET
ap-1672	344	7	structure	structure	NOUN
ap-1672	344	8	and	and	CCONJ
ap-1672	344	9	properties	property	NOUN
ap-1672	344	10	of	of	ADP
ap-1672	344	11	lime	lime	NOUN
ap-1672	344	12	mortars	mortar	NOUN
ap-1672	344	13	.	.	PUNCT
ap-1672	345	1	cement	cement	NOUN
ap-1672	345	2	&	&	CCONJ
ap-1672	345	3	concrete	concrete	ADJ
ap-1672	345	4	composites	composite	NOUN
ap-1672	345	5	27:914	27:914	NUM
ap-1672	345	6	–	–	PUNCT
ap-1672	345	7	919	919	NUM
ap-1672	345	8	,	,	PUNCT
ap-1672	345	9	2005	2005	NUM
ap-1672	345	10	.	.	PUNCT
ap-1672	346	1	[	[	X
ap-1672	346	2	31	31	NUM
ap-1672	346	3	]	]	PUNCT
ap-1672	346	4	j.	j.	PROPN
ap-1672	346	5	stránský	stránský	PROPN
ap-1672	346	6	,	,	PUNCT
ap-1672	346	7	j.	j.	PROPN
ap-1672	346	8	vorel	vorel	PROPN
ap-1672	346	9	,	,	PUNCT
ap-1672	346	10	j.	j.	PROPN
ap-1672	346	11	zeman	zeman	PROPN
ap-1672	346	12	,	,	PUNCT
ap-1672	346	13	m.	m.	PROPN
ap-1672	346	14	šejnoha	šejnoha	PROPN
ap-1672	346	15	.	.	PUNCT
ap-1672	347	1	mori	mori	PROPN
ap-1672	347	2	-	-	PUNCT
ap-1672	347	3	tanaka	tanaka	PROPN
ap-1672	347	4	based	base	VERB
ap-1672	347	5	estimates	estimate	NOUN
ap-1672	347	6	of	of	ADP
ap-1672	347	7	effective	effective	ADJ
ap-1672	347	8	thermal	thermal	ADJ
ap-1672	347	9	conductivity	conductivity	NOUN
ap-1672	347	10	of	of	ADP
ap-1672	347	11	various	various	ADJ
ap-1672	347	12	engineering	engineering	NOUN
ap-1672	347	13	materials	material	NOUN
ap-1672	347	14	.	.	PUNCT
ap-1672	348	1	micromachines	micromachine	NOUN
ap-1672	348	2	2:129–149	2:129–149	NOUN
ap-1672	348	3	,	,	PUNCT
ap-1672	348	4	2011	2011	NUM
ap-1672	348	5	.	.	PUNCT
ap-1672	349	1	[	[	X
ap-1672	349	2	32	32	NUM
ap-1672	349	3	]	]	PUNCT
ap-1672	349	4	e.	e.	PROPN
ap-1672	349	5	vejmelková	vejmelková	PROPN
ap-1672	349	6	,	,	PUNCT
ap-1672	349	7	m.	m.	NOUN
ap-1672	349	8	keppert	keppert	PROPN
ap-1672	349	9	,	,	PUNCT
ap-1672	349	10	z.	z.	PROPN
ap-1672	349	11	keršner	keršner	PROPN
ap-1672	349	12	,	,	PUNCT
ap-1672	349	13	et	et	PROPN
ap-1672	349	14	al	al	PROPN
ap-1672	349	15	.	.	PROPN
ap-1672	349	16	mechanical	mechanical	ADJ
ap-1672	349	17	,	,	PUNCT
ap-1672	349	18	fracture	fracture	NOUN
ap-1672	349	19	-	-	PUNCT
ap-1672	349	20	mechanical	mechanical	ADJ
ap-1672	349	21	,	,	PUNCT
ap-1672	349	22	hydric	hydric	ADJ
ap-1672	349	23	,	,	PUNCT
ap-1672	349	24	thermal	thermal	ADJ
ap-1672	349	25	,	,	PUNCT
ap-1672	349	26	and	and	CCONJ
ap-1672	349	27	durability	durability	NOUN
ap-1672	349	28	properties	property	NOUN
ap-1672	349	29	of	of	ADP
ap-1672	349	30	lime	lime	NOUN
ap-1672	349	31	-	-	PUNCT
ap-1672	349	32	metakaolin	metakaolin	NOUN
ap-1672	349	33	plasters	plaster	NOUN
ap-1672	349	34	for	for	ADP
ap-1672	349	35	renovation	renovation	NOUN
ap-1672	349	36	of	of	ADP
ap-1672	349	37	historical	historical	ADJ
ap-1672	349	38	buildings	building	NOUN
ap-1672	349	39	.	.	PUNCT
ap-1672	350	1	construction	construction	NOUN
ap-1672	350	2	and	and	CCONJ
ap-1672	350	3	building	building	NOUN
ap-1672	350	4	materials	material	NOUN
ap-1672	350	5	31:22–28	31:22–28	PROPN
ap-1672	350	6	,	,	PUNCT
ap-1672	350	7	2012	2012	NUM
ap-1672	350	8	.	.	PUNCT
ap-1672	351	1	[	[	X
ap-1672	351	2	33	33	NUM
ap-1672	351	3	]	]	X
ap-1672	351	4	a.l	a.l	PROPN
ap-1672	351	5	.	.	PROPN
ap-1672	351	6	velosa	velosa	PROPN
ap-1672	351	7	,	,	PUNCT
ap-1672	351	8	f.	f.	PROPN
ap-1672	351	9	rocha	rocha	PROPN
ap-1672	351	10	,	,	PUNCT
ap-1672	351	11	r.	r.	PROPN
ap-1672	351	12	veiga	veiga	PROPN
ap-1672	351	13	.	.	PUNCT
ap-1672	352	1	influence	influence	NOUN
ap-1672	352	2	of	of	ADP
ap-1672	352	3	chemical	chemical	ADJ
ap-1672	352	4	and	and	CCONJ
ap-1672	352	5	mineralogical	mineralogical	ADJ
ap-1672	352	6	composition	composition	NOUN
ap-1672	352	7	of	of	ADP
ap-1672	352	8	metakaolin	metakaolin	PROPN
ap-1672	352	9	on	on	ADP
ap-1672	352	10	mortar	mortar	NOUN
ap-1672	352	11	characteristics	characteristic	NOUN
ap-1672	352	12	.	.	PUNCT
ap-1672	353	1	acta	acta	PROPN
ap-1672	353	2	geodynamica	geodynamica	PROPN
ap-1672	353	3	et	et	PROPN
ap-1672	353	4	geomaterialia	geomaterialia	PROPN
ap-1672	353	5	153:121–126	153:121–126	PROPN
ap-1672	353	6	,	,	PUNCT
ap-1672	353	7	2009	2009	NUM
ap-1672	353	8	.	.	PUNCT
ap-1672	354	1	[	[	X
ap-1672	354	2	34	34	NUM
ap-1672	354	3	]	]	X
ap-1672	354	4	j.	j.	PROPN
ap-1672	354	5	vorel	vorel	PROPN
ap-1672	354	6	,	,	PUNCT
ap-1672	354	7	v.	v.	PROPN
ap-1672	354	8	šmilauer	šmilauer	PROPN
ap-1672	354	9	,	,	PUNCT
ap-1672	354	10	z.	z.	PROPN
ap-1672	354	11	bittnar	bittnar	PROPN
ap-1672	354	12	.	.	PUNCT
ap-1672	355	1	multiscale	multiscale	ADJ
ap-1672	355	2	simulations	simulation	NOUN
ap-1672	355	3	of	of	ADP
ap-1672	355	4	concrete	concrete	ADJ
ap-1672	355	5	mechanical	mechanical	ADJ
ap-1672	355	6	tests	test	NOUN
ap-1672	355	7	.	.	PUNCT
ap-1672	356	1	journal	journal	NOUN
ap-1672	356	2	of	of	ADP
ap-1672	356	3	computational	computational	ADJ
ap-1672	356	4	and	and	CCONJ
ap-1672	356	5	applied	apply	VERB
ap-1672	356	6	mathematics	mathematic	NOUN
ap-1672	356	7	236:4882–4892	236:4882–4892	NUM
ap-1672	356	8	,	,	PUNCT
ap-1672	356	9	2012	2012	NUM
ap-1672	356	10	.	.	PUNCT
ap-1672	357	1	[	[	X
ap-1672	357	2	35	35	NUM
ap-1672	357	3	]	]	PUNCT
ap-1672	357	4	v.	v.	PROPN
ap-1672	357	5	šmilauer	šmilauer	PROPN
ap-1672	357	6	,	,	PUNCT
ap-1672	357	7	p.	p.	PROPN
ap-1672	357	8	hlaváček	hlaváček	PROPN
ap-1672	357	9	,	,	PUNCT
ap-1672	357	10	f.	f.	PROPN
ap-1672	357	11	škvára	škvára	PROPN
ap-1672	357	12	,	,	PUNCT
ap-1672	357	13	et	et	PROPN
ap-1672	357	14	al	al	PROPN
ap-1672	357	15	.	.	PROPN
ap-1672	357	16	micromechanical	micromechanical	PROPN
ap-1672	357	17	multiscale	multiscale	PROPN
ap-1672	357	18	model	model	NOUN
ap-1672	357	19	for	for	ADP
ap-1672	357	20	alkali	alkali	ADJ
ap-1672	357	21	activation	activation	NOUN
ap-1672	357	22	of	of	ADP
ap-1672	357	23	fly	fly	NOUN
ap-1672	357	24	ash	ash	NOUN
ap-1672	357	25	and	and	CCONJ
ap-1672	357	26	metakaolin	metakaolin	PROPN
ap-1672	357	27	.	.	PROPN
ap-1672	357	28	journal	journal	PROPN
ap-1672	357	29	of	of	ADP
ap-1672	357	30	materials	material	NOUN
ap-1672	357	31	science	science	NOUN
ap-1672	357	32	46:6545–6555	46:6545–6555	NUM
ap-1672	357	33	,	,	PUNCT
ap-1672	357	34	2011	2011	NUM
ap-1672	357	35	.	.	PUNCT
ap-1672	358	1	[	[	X
ap-1672	358	2	36	36	NUM
ap-1672	358	3	]	]	X
ap-1672	358	4	c.c	c.c	PROPN
ap-1672	358	5	.	.	PROPN
ap-1672	358	6	yang	yang	PROPN
ap-1672	358	7	.	.	PUNCT
ap-1672	359	1	effect	effect	NOUN
ap-1672	359	2	of	of	ADP
ap-1672	359	3	the	the	DET
ap-1672	359	4	transition	transition	NOUN
ap-1672	359	5	zone	zone	NOUN
ap-1672	359	6	on	on	ADP
ap-1672	359	7	the	the	DET
ap-1672	359	8	elastic	elastic	ADJ
ap-1672	359	9	moduli	modulus	NOUN
ap-1672	359	10	of	of	ADP
ap-1672	359	11	mortar	mortar	NOUN
ap-1672	359	12	.	.	PUNCT
ap-1672	360	1	cement	cement	NOUN
ap-1672	360	2	and	and	CCONJ
ap-1672	360	3	concrete	concrete	ADJ
ap-1672	360	4	research	research	NOUN
ap-1672	360	5	28:727–736	28:727–736	PROPN
ap-1672	360	6	,	,	PUNCT
ap-1672	360	7	1998	1998	NUM
ap-1672	360	8	.	.	PUNCT
ap-1672	361	1	[	[	X
ap-1672	361	2	37	37	NUM
ap-1672	361	3	]	]	PUNCT
ap-1672	361	4	a.	a.	NOUN
ap-1672	361	5	zaoui	zaoui	PROPN
ap-1672	361	6	.	.	PUNCT
ap-1672	362	1	continuum	continuum	ADJ
ap-1672	362	2	micromechanics	micromechanic	NOUN
ap-1672	362	3	:	:	PUNCT
ap-1672	362	4	survey	survey	NOUN
ap-1672	362	5	.	.	PUNCT
ap-1672	363	1	journal	journal	NOUN
ap-1672	363	2	of	of	ADP
ap-1672	363	3	engineering	engineering	NOUN
ap-1672	363	4	mechanics	mechanic	NOUN
ap-1672	363	5	128:808–816	128:808–816	NUM
ap-1672	363	6	,	,	PUNCT
ap-1672	363	7	2002	2002	NUM
ap-1672	363	8	.	.	PUNCT
ap-1672	364	1	37	37	NUM