id	sid	tid	token	lemma	pos
ap-5709	1	1	acta	acta	PROPN
ap-5709	1	2	polytechnica	polytechnica	PROPN
ap-5709	1	3	doi:10.14311	doi:10.14311	PROPN
ap-5709	1	4	/	/	SYM
ap-5709	1	5	ap.2020.60.0012	ap.2020.60.0012	PROPN
ap-5709	1	6	acta	acta	PROPN
ap-5709	1	7	polytechnica	polytechnica	PROPN
ap-5709	1	8	60(1):12–24	60(1):12–24	NUM
ap-5709	1	9	,	,	PUNCT
ap-5709	1	10	2020	2020	NUM
ap-5709	1	11	©	©	PROPN
ap-5709	1	12	czech	czech	PROPN
ap-5709	1	13	technical	technical	PROPN
ap-5709	1	14	university	university	PROPN
ap-5709	1	15	in	in	ADP
ap-5709	1	16	prague	prague	PROPN
ap-5709	1	17	,	,	PUNCT
ap-5709	1	18	2020	2020	NUM
ap-5709	1	19	available	available	ADJ
ap-5709	1	20	online	online	ADV
ap-5709	1	21	at	at	ADP
ap-5709	1	22	https://ojs.cvut.cz/ojs/index.php/ap	https://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-5709	1	23	homogenization	homogenization	NOUN
ap-5709	1	24	of	of	ADP
ap-5709	1	25	transport	transport	NOUN
ap-5709	1	26	processes	process	NOUN
ap-5709	1	27	and	and	CCONJ
ap-5709	1	28	hydration	hydration	NOUN
ap-5709	1	29	phenomena	phenomenon	NOUN
ap-5709	1	30	in	in	ADP
ap-5709	1	31	fresh	fresh	ADJ
ap-5709	1	32	concrete	concrete	ADJ
ap-5709	1	33	michal	michal	PROPN
ap-5709	1	34	beneša	beneša	PROPN
ap-5709	1	35	,	,	PUNCT
ap-5709	1	36	radek	radek	PROPN
ap-5709	1	37	štefanb,∗	štefanb,∗	PROPN
ap-5709	1	38	a	a	DET
ap-5709	1	39	czech	czech	PROPN
ap-5709	1	40	technical	technical	PROPN
ap-5709	1	41	university	university	PROPN
ap-5709	1	42	in	in	ADP
ap-5709	1	43	prague	prague	PROPN
ap-5709	1	44	,	,	PUNCT
ap-5709	1	45	faculty	faculty	NOUN
ap-5709	1	46	of	of	ADP
ap-5709	1	47	civil	civil	ADJ
ap-5709	1	48	engineering	engineering	NOUN
ap-5709	1	49	,	,	PUNCT
ap-5709	1	50	department	department	NOUN
ap-5709	1	51	of	of	ADP
ap-5709	1	52	mathematics	mathematic	NOUN
ap-5709	1	53	,	,	PUNCT
ap-5709	1	54	thákurova	thákurova	X
ap-5709	1	55	7	7	NUM
ap-5709	1	56	,	,	PUNCT
ap-5709	1	57	166	166	NUM
ap-5709	1	58	29	29	NUM
ap-5709	1	59	prague	prague	NOUN
ap-5709	1	60	6	6	NUM
ap-5709	1	61	,	,	PUNCT
ap-5709	1	62	czech	czech	PROPN
ap-5709	1	63	republic	republic	PROPN
ap-5709	1	64	b	b	PROPN
ap-5709	1	65	czech	czech	PROPN
ap-5709	1	66	technical	technical	PROPN
ap-5709	1	67	university	university	PROPN
ap-5709	1	68	in	in	ADP
ap-5709	1	69	prague	prague	PROPN
ap-5709	1	70	,	,	PUNCT
ap-5709	1	71	faculty	faculty	NOUN
ap-5709	1	72	of	of	ADP
ap-5709	1	73	civil	civil	ADJ
ap-5709	1	74	engineering	engineering	NOUN
ap-5709	1	75	,	,	PUNCT
ap-5709	1	76	department	department	NOUN
ap-5709	1	77	of	of	ADP
ap-5709	1	78	concrete	concrete	ADJ
ap-5709	1	79	and	and	CCONJ
ap-5709	1	80	masonry	masonry	NOUN
ap-5709	1	81	structures	structure	NOUN
ap-5709	1	82	,	,	PUNCT
ap-5709	1	83	thákurova	thákurova	X
ap-5709	1	84	7	7	NUM
ap-5709	1	85	,	,	PUNCT
ap-5709	1	86	166	166	NUM
ap-5709	1	87	29	29	NUM
ap-5709	1	88	prague	prague	NOUN
ap-5709	1	89	6	6	NUM
ap-5709	1	90	,	,	PUNCT
ap-5709	1	91	czech	czech	PROPN
ap-5709	1	92	republic	republic	NOUN
ap-5709	1	93	∗	∗	NOUN
ap-5709	1	94	corresponding	correspond	VERB
ap-5709	1	95	author	author	NOUN
ap-5709	1	96	:	:	PUNCT
ap-5709	1	97	radek.stefan@fsv.cvut.cz	radek.stefan@fsv.cvut.cz	NOUN
ap-5709	1	98	abstract	abstract	ADJ
ap-5709	1	99	.	.	PUNCT
ap-5709	2	1	the	the	DET
ap-5709	2	2	problem	problem	NOUN
ap-5709	2	3	of	of	ADP
ap-5709	2	4	hydration	hydration	NOUN
ap-5709	2	5	and	and	CCONJ
ap-5709	2	6	transport	transport	NOUN
ap-5709	2	7	processes	process	NOUN
ap-5709	2	8	in	in	ADP
ap-5709	2	9	fresh	fresh	ADJ
ap-5709	2	10	concrete	concrete	NOUN
ap-5709	2	11	is	be	AUX
ap-5709	2	12	strongly	strongly	ADV
ap-5709	2	13	coupled	couple	VERB
ap-5709	2	14	and	and	CCONJ
ap-5709	2	15	non	non	ADJ
ap-5709	2	16	-	-	ADJ
ap-5709	2	17	linear	linear	ADJ
ap-5709	2	18	,	,	PUNCT
ap-5709	2	19	and	and	CCONJ
ap-5709	2	20	therefore	therefore	ADV
ap-5709	2	21	,	,	PUNCT
ap-5709	2	22	very	very	ADV
ap-5709	2	23	difficult	difficult	ADJ
ap-5709	2	24	for	for	ADP
ap-5709	2	25	a	a	DET
ap-5709	2	26	numerical	numerical	ADJ
ap-5709	2	27	modelling	modelling	NOUN
ap-5709	2	28	.	.	PUNCT
ap-5709	3	1	physically	physically	ADV
ap-5709	3	2	accurate	accurate	ADJ
ap-5709	3	3	results	result	NOUN
ap-5709	3	4	can	can	AUX
ap-5709	3	5	be	be	AUX
ap-5709	3	6	obtained	obtain	VERB
ap-5709	3	7	using	use	VERB
ap-5709	3	8	fine	fine	ADJ
ap-5709	3	9	-	-	PUNCT
ap-5709	3	10	scale	scale	NOUN
ap-5709	3	11	simulations	simulation	NOUN
ap-5709	3	12	,	,	PUNCT
ap-5709	3	13	which	which	PRON
ap-5709	3	14	are	be	AUX
ap-5709	3	15	,	,	PUNCT
ap-5709	3	16	however	however	ADV
ap-5709	3	17	,	,	PUNCT
ap-5709	3	18	extremely	extremely	ADV
ap-5709	3	19	time	time	NOUN
ap-5709	3	20	consuming	consume	VERB
ap-5709	3	21	.	.	PUNCT
ap-5709	4	1	therefore	therefore	ADV
ap-5709	4	2	,	,	PUNCT
ap-5709	4	3	there	there	PRON
ap-5709	4	4	is	be	VERB
ap-5709	4	5	an	an	DET
ap-5709	4	6	interest	interest	NOUN
ap-5709	4	7	in	in	ADP
ap-5709	4	8	developing	develop	VERB
ap-5709	4	9	new	new	ADJ
ap-5709	4	10	physically	physically	ADV
ap-5709	4	11	accurate	accurate	ADJ
ap-5709	4	12	and	and	CCONJ
ap-5709	4	13	computationally	computationally	ADV
ap-5709	4	14	effective	effective	ADJ
ap-5709	4	15	models	model	NOUN
ap-5709	4	16	.	.	PUNCT
ap-5709	5	1	in	in	ADP
ap-5709	5	2	this	this	DET
ap-5709	5	3	paper	paper	NOUN
ap-5709	5	4	,	,	PUNCT
ap-5709	5	5	a	a	DET
ap-5709	5	6	new	new	ADJ
ap-5709	5	7	fully	fully	ADV
ap-5709	5	8	coupled	couple	VERB
ap-5709	5	9	two	two	NUM
ap-5709	5	10	-	-	PUNCT
ap-5709	5	11	scale	scale	NOUN
ap-5709	5	12	(	(	PUNCT
ap-5709	5	13	meso	meso	NOUN
ap-5709	5	14	-	-	PUNCT
ap-5709	5	15	macro	macro	NOUN
ap-5709	5	16	)	)	PUNCT
ap-5709	5	17	homogenization	homogenization	NOUN
ap-5709	5	18	framework	framework	NOUN
ap-5709	5	19	for	for	ADP
ap-5709	5	20	modelling	modelling	NOUN
ap-5709	5	21	of	of	ADP
ap-5709	5	22	simultaneous	simultaneous	ADJ
ap-5709	5	23	heat	heat	NOUN
ap-5709	5	24	transfer	transfer	NOUN
ap-5709	5	25	,	,	PUNCT
ap-5709	5	26	moisture	moisture	NOUN
ap-5709	5	27	flows	flow	NOUN
ap-5709	5	28	,	,	PUNCT
ap-5709	5	29	and	and	CCONJ
ap-5709	5	30	hydration	hydration	NOUN
ap-5709	5	31	phenomena	phenomenon	NOUN
ap-5709	5	32	in	in	ADP
ap-5709	5	33	fresh	fresh	ADJ
ap-5709	5	34	concrete	concrete	NOUN
ap-5709	5	35	is	be	AUX
ap-5709	5	36	proposed	propose	VERB
ap-5709	5	37	.	.	PUNCT
ap-5709	6	1	a	a	DET
ap-5709	6	2	modified	modify	VERB
ap-5709	6	3	mesoscale	mesoscale	NOUN
ap-5709	6	4	model	model	NOUN
ap-5709	6	5	is	be	AUX
ap-5709	6	6	first	first	ADV
ap-5709	6	7	introduced	introduce	VERB
ap-5709	6	8	.	.	PUNCT
ap-5709	7	1	in	in	ADP
ap-5709	7	2	this	this	DET
ap-5709	7	3	model	model	NOUN
ap-5709	7	4	,	,	PUNCT
ap-5709	7	5	concrete	concrete	NOUN
ap-5709	7	6	is	be	AUX
ap-5709	7	7	assumed	assume	VERB
ap-5709	7	8	as	as	ADP
ap-5709	7	9	a	a	DET
ap-5709	7	10	composite	composite	ADJ
ap-5709	7	11	material	material	NOUN
ap-5709	7	12	with	with	ADP
ap-5709	7	13	two	two	NUM
ap-5709	7	14	periodically	periodically	ADV
ap-5709	7	15	distributed	distribute	VERB
ap-5709	7	16	mesoscale	mesoscale	ADJ
ap-5709	7	17	components	component	NOUN
ap-5709	7	18	,	,	PUNCT
ap-5709	7	19	cement	cement	NOUN
ap-5709	7	20	paste	paste	NOUN
ap-5709	7	21	and	and	CCONJ
ap-5709	7	22	aggregates	aggregate	NOUN
ap-5709	7	23	.	.	PUNCT
ap-5709	8	1	a	a	DET
ap-5709	8	2	homogenized	homogenized	ADJ
ap-5709	8	3	model	model	NOUN
ap-5709	8	4	is	be	AUX
ap-5709	8	5	then	then	ADV
ap-5709	8	6	derived	derive	VERB
ap-5709	8	7	by	by	ADP
ap-5709	8	8	an	an	DET
ap-5709	8	9	upscaling	upscale	VERB
ap-5709	8	10	method	method	NOUN
ap-5709	8	11	from	from	ADP
ap-5709	8	12	the	the	DET
ap-5709	8	13	mesoscale	mesoscale	ADJ
ap-5709	8	14	model	model	NOUN
ap-5709	8	15	.	.	PUNCT
ap-5709	9	1	the	the	DET
ap-5709	9	2	coefficients	coefficient	NOUN
ap-5709	9	3	for	for	ADP
ap-5709	9	4	the	the	DET
ap-5709	9	5	homogenized	homogenized	ADJ
ap-5709	9	6	model	model	NOUN
ap-5709	9	7	are	be	AUX
ap-5709	9	8	obtained	obtain	VERB
ap-5709	9	9	from	from	ADP
ap-5709	9	10	the	the	DET
ap-5709	9	11	solution	solution	NOUN
ap-5709	9	12	of	of	ADP
ap-5709	9	13	a	a	DET
ap-5709	9	14	periodic	periodic	ADJ
ap-5709	9	15	cell	cell	NOUN
ap-5709	9	16	problem	problem	NOUN
ap-5709	9	17	.	.	PUNCT
ap-5709	10	1	for	for	ADP
ap-5709	10	2	solving	solve	VERB
ap-5709	10	3	the	the	DET
ap-5709	10	4	periodic	periodic	ADJ
ap-5709	10	5	cell	cell	NOUN
ap-5709	10	6	problem	problem	NOUN
ap-5709	10	7	,	,	PUNCT
ap-5709	10	8	two	two	NUM
ap-5709	10	9	approaches	approach	NOUN
ap-5709	10	10	are	be	AUX
ap-5709	10	11	used	use	VERB
ap-5709	10	12	–	–	PUNCT
ap-5709	10	13	a	a	DET
ap-5709	10	14	standard	standard	ADJ
ap-5709	10	15	finite	finite	ADJ
ap-5709	10	16	element	element	NOUN
ap-5709	10	17	method	method	NOUN
ap-5709	10	18	and	and	CCONJ
ap-5709	10	19	a	a	DET
ap-5709	10	20	simplified	simplified	ADJ
ap-5709	10	21	closed	closed	ADJ
ap-5709	10	22	-	-	PUNCT
ap-5709	10	23	form	form	NOUN
ap-5709	10	24	approximation	approximation	NOUN
ap-5709	10	25	taken	take	VERB
ap-5709	10	26	from	from	ADP
ap-5709	10	27	literature	literature	NOUN
ap-5709	10	28	.	.	PUNCT
ap-5709	11	1	the	the	DET
ap-5709	11	2	homogenization	homogenization	NOUN
ap-5709	11	3	framework	framework	NOUN
ap-5709	11	4	is	be	AUX
ap-5709	11	5	then	then	ADV
ap-5709	11	6	implemented	implement	VERB
ap-5709	11	7	in	in	ADP
ap-5709	11	8	matlab	matlab	PROPN
ap-5709	11	9	environment	environment	NOUN
ap-5709	11	10	and	and	CCONJ
ap-5709	11	11	finally	finally	ADV
ap-5709	11	12	employed	employ	VERB
ap-5709	11	13	for	for	ADP
ap-5709	11	14	illustrative	illustrative	ADJ
ap-5709	11	15	numerical	numerical	ADJ
ap-5709	11	16	experiments	experiment	NOUN
ap-5709	11	17	,	,	PUNCT
ap-5709	11	18	which	which	PRON
ap-5709	11	19	verify	verify	VERB
ap-5709	11	20	that	that	SCONJ
ap-5709	11	21	the	the	DET
ap-5709	11	22	homogenized	homogenized	ADJ
ap-5709	11	23	model	model	NOUN
ap-5709	11	24	provides	provide	VERB
ap-5709	11	25	physically	physically	ADV
ap-5709	11	26	accurate	accurate	ADJ
ap-5709	11	27	results	result	NOUN
ap-5709	11	28	comparable	comparable	ADJ
ap-5709	11	29	with	with	ADP
ap-5709	11	30	the	the	DET
ap-5709	11	31	results	result	NOUN
ap-5709	11	32	obtained	obtain	VERB
ap-5709	11	33	by	by	ADP
ap-5709	11	34	the	the	DET
ap-5709	11	35	mesoscale	mesoscale	ADJ
ap-5709	11	36	model	model	NOUN
ap-5709	11	37	.	.	PUNCT
ap-5709	12	1	moreover	moreover	ADV
ap-5709	12	2	,	,	PUNCT
ap-5709	12	3	it	it	PRON
ap-5709	12	4	is	be	AUX
ap-5709	12	5	verified	verify	VERB
ap-5709	12	6	that	that	SCONJ
ap-5709	12	7	,	,	PUNCT
ap-5709	12	8	using	use	VERB
ap-5709	12	9	the	the	DET
ap-5709	12	10	homogenization	homogenization	NOUN
ap-5709	12	11	framework	framework	NOUN
ap-5709	12	12	with	with	ADP
ap-5709	12	13	a	a	DET
ap-5709	12	14	closed	closed	ADJ
ap-5709	12	15	-	-	PUNCT
ap-5709	12	16	form	form	NOUN
ap-5709	12	17	approach	approach	NOUN
ap-5709	12	18	to	to	ADP
ap-5709	12	19	the	the	DET
ap-5709	12	20	periodic	periodic	ADJ
ap-5709	12	21	cell	cell	NOUN
ap-5709	12	22	problem	problem	NOUN
ap-5709	12	23	,	,	PUNCT
ap-5709	12	24	significant	significant	ADJ
ap-5709	12	25	computational	computational	ADJ
ap-5709	12	26	cost	cost	NOUN
ap-5709	12	27	savings	saving	NOUN
ap-5709	12	28	can	can	AUX
ap-5709	12	29	be	be	AUX
ap-5709	12	30	achieved	achieve	VERB
ap-5709	12	31	.	.	PUNCT
ap-5709	13	1	keywords	keyword	NOUN
ap-5709	13	2	:	:	PUNCT
ap-5709	13	3	concrete	concrete	ADJ
ap-5709	13	4	,	,	PUNCT
ap-5709	13	5	hydration	hydration	NOUN
ap-5709	13	6	,	,	PUNCT
ap-5709	13	7	transport	transport	NOUN
ap-5709	13	8	processes	process	NOUN
ap-5709	13	9	,	,	PUNCT
ap-5709	13	10	homogenization	homogenization	NOUN
ap-5709	13	11	,	,	PUNCT
ap-5709	13	12	numerical	numerical	ADJ
ap-5709	13	13	experiments	experiment	NOUN
ap-5709	13	14	.	.	PUNCT
ap-5709	14	1	1	1	X
ap-5709	14	2	.	.	X
ap-5709	14	3	introduction	introduction	NOUN
ap-5709	14	4	modelling	modelling	NOUN
ap-5709	14	5	of	of	ADP
ap-5709	14	6	transport	transport	NOUN
ap-5709	14	7	processes	process	NOUN
ap-5709	14	8	and	and	CCONJ
ap-5709	14	9	hydration	hydration	NOUN
ap-5709	14	10	phenomena	phenomenon	NOUN
ap-5709	14	11	in	in	ADP
ap-5709	14	12	early	early	ADJ
ap-5709	14	13	age	age	NOUN
ap-5709	14	14	concrete	concrete	NOUN
ap-5709	14	15	is	be	AUX
ap-5709	14	16	a	a	DET
ap-5709	14	17	challenging	challenging	ADJ
ap-5709	14	18	engineering	engineering	NOUN
ap-5709	14	19	problem	problem	NOUN
ap-5709	14	20	,	,	PUNCT
ap-5709	14	21	since	since	SCONJ
ap-5709	14	22	hydration	hydration	NOUN
ap-5709	14	23	of	of	ADP
ap-5709	14	24	cement	cement	NOUN
ap-5709	14	25	is	be	AUX
ap-5709	14	26	an	an	DET
ap-5709	14	27	exothermic	exothermic	ADJ
ap-5709	14	28	reaction	reaction	NOUN
ap-5709	14	29	,	,	PUNCT
ap-5709	14	30	which	which	PRON
ap-5709	14	31	may	may	AUX
ap-5709	14	32	result	result	VERB
ap-5709	14	33	in	in	ADP
ap-5709	14	34	high	high	ADJ
ap-5709	14	35	temperatures	temperature	NOUN
ap-5709	14	36	and	and	CCONJ
ap-5709	14	37	related	related	ADJ
ap-5709	14	38	deformations	deformation	NOUN
ap-5709	14	39	,	,	PUNCT
ap-5709	14	40	stresses	stress	NOUN
ap-5709	14	41	,	,	PUNCT
ap-5709	14	42	and	and	CCONJ
ap-5709	14	43	cracking	crack	VERB
ap-5709	14	44	in	in	ADP
ap-5709	14	45	concrete	concrete	ADJ
ap-5709	14	46	structures	structure	NOUN
ap-5709	14	47	,	,	PUNCT
ap-5709	15	1	e.g.	e.g.	ADV
ap-5709	15	2	[	[	X
ap-5709	15	3	1–7	1–7	NUM
ap-5709	15	4	]	]	PUNCT
ap-5709	15	5	and	and	CCONJ
ap-5709	15	6	references	reference	NOUN
ap-5709	15	7	therein	therein	ADV
ap-5709	15	8	.	.	PUNCT
ap-5709	16	1	fresh	fresh	ADJ
ap-5709	16	2	concrete	concrete	NOUN
ap-5709	16	3	is	be	AUX
ap-5709	16	4	a	a	DET
ap-5709	16	5	heterogeneous	heterogeneous	ADJ
ap-5709	16	6	porous	porous	ADJ
ap-5709	16	7	material	material	NOUN
ap-5709	16	8	highly	highly	ADV
ap-5709	16	9	saturated	saturate	VERB
ap-5709	16	10	with	with	ADP
ap-5709	16	11	liquid	liquid	ADJ
ap-5709	16	12	water	water	NOUN
ap-5709	16	13	,	,	PUNCT
ap-5709	16	14	e.g.	e.g.	ADV
ap-5709	16	15	[	[	X
ap-5709	16	16	4	4	NUM
ap-5709	16	17	]	]	PUNCT
ap-5709	16	18	.	.	PUNCT
ap-5709	17	1	in	in	ADP
ap-5709	17	2	the	the	DET
ap-5709	17	3	present	present	ADJ
ap-5709	17	4	paper	paper	NOUN
ap-5709	17	5	,	,	PUNCT
ap-5709	17	6	concrete	concrete	NOUN
ap-5709	17	7	is	be	AUX
ap-5709	17	8	assumed	assume	VERB
ap-5709	17	9	as	as	ADP
ap-5709	17	10	a	a	DET
ap-5709	17	11	composite	composite	ADJ
ap-5709	17	12	material	material	NOUN
ap-5709	17	13	with	with	ADP
ap-5709	17	14	two	two	NUM
ap-5709	17	15	periodically	periodically	ADV
ap-5709	17	16	distributed	distribute	VERB
ap-5709	17	17	mesoscale	mesoscale	ADJ
ap-5709	17	18	components	component	NOUN
ap-5709	17	19	,	,	PUNCT
ap-5709	17	20	cement	cement	NOUN
ap-5709	17	21	paste	paste	NOUN
ap-5709	17	22	and	and	CCONJ
ap-5709	17	23	aggregates	aggregate	NOUN
ap-5709	17	24	,	,	PUNCT
ap-5709	17	25	represented	represent	VERB
ap-5709	17	26	by	by	ADP
ap-5709	17	27	multiphase	multiphase	NOUN
ap-5709	17	28	hygroscopic	hygroscopic	NOUN
ap-5709	17	29	and	and	CCONJ
ap-5709	17	30	heat	heat	NOUN
ap-5709	17	31	conducting	conduct	VERB
ap-5709	17	32	rigid	rigid	ADJ
ap-5709	17	33	porous	porous	ADJ
ap-5709	17	34	media	medium	NOUN
ap-5709	17	35	partially	partially	ADV
ap-5709	17	36	saturated	saturate	VERB
ap-5709	17	37	with	with	ADP
ap-5709	17	38	liquid	liquid	ADJ
ap-5709	17	39	water	water	NOUN
ap-5709	17	40	,	,	PUNCT
ap-5709	17	41	e.g.	e.g.	ADV
ap-5709	17	42	[	[	X
ap-5709	17	43	4	4	NUM
ap-5709	17	44	,	,	PUNCT
ap-5709	17	45	8	8	NUM
ap-5709	17	46	]	]	PUNCT
ap-5709	17	47	.	.	PUNCT
ap-5709	18	1	coupled	couple	VERB
ap-5709	18	2	transport	transport	NOUN
ap-5709	18	3	processes	process	NOUN
ap-5709	18	4	in	in	ADP
ap-5709	18	5	porous	porous	ADJ
ap-5709	18	6	materials	material	NOUN
ap-5709	18	7	are	be	AUX
ap-5709	18	8	associated	associate	VERB
ap-5709	18	9	with	with	ADP
ap-5709	18	10	balance	balance	NOUN
ap-5709	18	11	equations	equation	NOUN
ap-5709	18	12	for	for	ADP
ap-5709	18	13	mass	mass	NOUN
ap-5709	18	14	of	of	ADP
ap-5709	18	15	moisture	moisture	NOUN
ap-5709	18	16	and	and	CCONJ
ap-5709	18	17	heat	heat	NOUN
ap-5709	18	18	energy	energy	NOUN
ap-5709	18	19	of	of	ADP
ap-5709	18	20	the	the	DET
ap-5709	18	21	whole	whole	ADJ
ap-5709	18	22	medium	medium	NOUN
ap-5709	18	23	,	,	PUNCT
ap-5709	18	24	e.g.	e.g.	ADV
ap-5709	19	1	[	[	X
ap-5709	19	2	9	9	NUM
ap-5709	19	3	]	]	PUNCT
ap-5709	19	4	.	.	PUNCT
ap-5709	20	1	for	for	ADP
ap-5709	20	2	the	the	DET
ap-5709	20	3	mesoscopic	mesoscopic	NOUN
ap-5709	20	4	description	description	NOUN
ap-5709	20	5	of	of	ADP
ap-5709	20	6	transport	transport	NOUN
ap-5709	20	7	processes	process	NOUN
ap-5709	20	8	in	in	ADP
ap-5709	20	9	cement	cement	NOUN
ap-5709	20	10	paste	paste	NOUN
ap-5709	20	11	and	and	CCONJ
ap-5709	20	12	aggregates	aggregate	NOUN
ap-5709	20	13	,	,	PUNCT
ap-5709	20	14	we	we	PRON
ap-5709	20	15	use	use	VERB
ap-5709	20	16	the	the	DET
ap-5709	20	17	balance	balance	NOUN
ap-5709	20	18	equations	equation	NOUN
ap-5709	20	19	based	base	VERB
ap-5709	20	20	on	on	ADP
ap-5709	20	21	the	the	DET
ap-5709	20	22	averaging	averaging	NOUN
ap-5709	20	23	theory	theory	NOUN
ap-5709	20	24	,	,	PUNCT
ap-5709	20	25	see	see	VERB
ap-5709	20	26	[	[	X
ap-5709	20	27	4	4	X
ap-5709	20	28	]	]	PUNCT
ap-5709	20	29	and	and	CCONJ
ap-5709	20	30	references	reference	NOUN
ap-5709	20	31	therein	therein	ADV
ap-5709	20	32	,	,	PUNCT
ap-5709	20	33	particularly	particularly	ADV
ap-5709	20	34	[	[	X
ap-5709	20	35	10–12	10–12	NUM
ap-5709	20	36	]	]	PUNCT
ap-5709	20	37	,	,	PUNCT
ap-5709	20	38	for	for	ADP
ap-5709	20	39	more	more	ADJ
ap-5709	20	40	details	detail	NOUN
ap-5709	20	41	.	.	PUNCT
ap-5709	21	1	the	the	DET
ap-5709	21	2	governing	govern	VERB
ap-5709	21	3	equations	equation	NOUN
ap-5709	21	4	at	at	ADP
ap-5709	21	5	the	the	DET
ap-5709	21	6	mesoscale	mesoscale	ADJ
ap-5709	21	7	level	level	NOUN
ap-5709	21	8	are	be	AUX
ap-5709	21	9	completed	complete	VERB
ap-5709	21	10	by	by	ADP
ap-5709	21	11	an	an	DET
ap-5709	21	12	appropriate	appropriate	ADJ
ap-5709	21	13	set	set	NOUN
ap-5709	21	14	of	of	ADP
ap-5709	21	15	constitutive	constitutive	ADJ
ap-5709	21	16	equations	equation	NOUN
ap-5709	21	17	,	,	PUNCT
ap-5709	21	18	material	material	NOUN
ap-5709	21	19	data	datum	NOUN
ap-5709	21	20	,	,	PUNCT
ap-5709	21	21	and	and	CCONJ
ap-5709	21	22	physically	physically	ADV
ap-5709	21	23	relevant	relevant	ADJ
ap-5709	21	24	boundary	boundary	ADJ
ap-5709	21	25	and	and	CCONJ
ap-5709	21	26	initial	initial	ADJ
ap-5709	21	27	conditions	condition	NOUN
ap-5709	21	28	.	.	PUNCT
ap-5709	22	1	it	it	PRON
ap-5709	22	2	is	be	AUX
ap-5709	22	3	well	well	ADV
ap-5709	22	4	known	know	VERB
ap-5709	22	5	and	and	CCONJ
ap-5709	22	6	closely	closely	ADV
ap-5709	22	7	described	describe	VERB
ap-5709	22	8	in	in	ADP
ap-5709	22	9	literature	literature	NOUN
ap-5709	22	10	that	that	PRON
ap-5709	22	11	the	the	DET
ap-5709	22	12	problem	problem	NOUN
ap-5709	22	13	of	of	ADP
ap-5709	22	14	hydration	hydration	NOUN
ap-5709	22	15	and	and	CCONJ
ap-5709	22	16	transport	transport	NOUN
ap-5709	22	17	processes	process	NOUN
ap-5709	22	18	in	in	ADP
ap-5709	22	19	concrete	concrete	NOUN
ap-5709	22	20	is	be	AUX
ap-5709	22	21	strongly	strongly	ADV
ap-5709	22	22	coupled	couple	VERB
ap-5709	22	23	and	and	CCONJ
ap-5709	22	24	non	non	ADJ
ap-5709	22	25	-	-	ADJ
ap-5709	22	26	linear	linear	ADJ
ap-5709	22	27	,	,	PUNCT
ap-5709	22	28	e.g.	e.g.	ADV
ap-5709	23	1	[	[	X
ap-5709	23	2	4	4	NUM
ap-5709	23	3	,	,	PUNCT
ap-5709	23	4	7	7	NUM
ap-5709	23	5	]	]	PUNCT
ap-5709	23	6	and	and	CCONJ
ap-5709	23	7	references	reference	NOUN
ap-5709	23	8	therein	therein	ADV
ap-5709	23	9	.	.	PUNCT
ap-5709	24	1	this	this	PRON
ap-5709	24	2	,	,	PUNCT
ap-5709	24	3	together	together	ADV
ap-5709	24	4	with	with	ADP
ap-5709	24	5	the	the	DET
ap-5709	24	6	complexity	complexity	NOUN
ap-5709	24	7	of	of	ADP
ap-5709	24	8	the	the	DET
ap-5709	24	9	mesoscopic	mesoscopic	NOUN
ap-5709	24	10	structure	structure	NOUN
ap-5709	24	11	of	of	ADP
ap-5709	24	12	the	the	DET
ap-5709	24	13	concrete	concrete	ADJ
ap-5709	24	14	composite	composite	NOUN
ap-5709	24	15	,	,	PUNCT
ap-5709	24	16	makes	make	VERB
ap-5709	24	17	the	the	DET
ap-5709	24	18	detailed	detail	VERB
ap-5709	24	19	numerical	numerical	ADJ
ap-5709	24	20	simulations	simulation	NOUN
ap-5709	24	21	of	of	ADP
ap-5709	24	22	the	the	DET
ap-5709	24	23	problem	problem	NOUN
ap-5709	24	24	extremely	extremely	ADV
ap-5709	24	25	time	time	NOUN
ap-5709	24	26	consuming	consume	VERB
ap-5709	24	27	.	.	PUNCT
ap-5709	25	1	therefore	therefore	ADV
ap-5709	25	2	,	,	PUNCT
ap-5709	25	3	there	there	PRON
ap-5709	25	4	is	be	VERB
ap-5709	25	5	an	an	DET
ap-5709	25	6	interest	interest	NOUN
ap-5709	25	7	in	in	ADP
ap-5709	25	8	developing	develop	VERB
ap-5709	25	9	new	new	ADJ
ap-5709	25	10	physically	physically	ADV
ap-5709	25	11	accurate	accurate	ADJ
ap-5709	25	12	and	and	CCONJ
ap-5709	25	13	computationally	computationally	ADV
ap-5709	25	14	effective	effective	ADJ
ap-5709	25	15	models	model	NOUN
ap-5709	25	16	based	base	VERB
ap-5709	25	17	on	on	ADP
ap-5709	25	18	a	a	DET
ap-5709	25	19	sophisticated	sophisticated	ADJ
ap-5709	25	20	numerical	numerical	ADJ
ap-5709	25	21	coupling	coupling	NOUN
ap-5709	25	22	at	at	ADP
ap-5709	25	23	different	different	ADJ
ap-5709	25	24	scales	scale	NOUN
ap-5709	25	25	,	,	PUNCT
ap-5709	25	26	see	see	VERB
ap-5709	25	27	e.g.	e.g.	ADV
ap-5709	25	28	[	[	X
ap-5709	25	29	13–16	13–16	NOUN
ap-5709	25	30	]	]	PUNCT
ap-5709	25	31	,	,	PUNCT
ap-5709	25	32	see	see	VERB
ap-5709	25	33	also	also	ADV
ap-5709	25	34	our	our	PRON
ap-5709	25	35	previous	previous	ADJ
ap-5709	25	36	work	work	NOUN
ap-5709	25	37	[	[	X
ap-5709	25	38	17	17	NUM
ap-5709	25	39	,	,	PUNCT
ap-5709	25	40	18	18	NUM
ap-5709	25	41	]	]	PUNCT
ap-5709	25	42	.	.	PUNCT
ap-5709	26	1	the	the	DET
ap-5709	26	2	homogenization	homogenization	NOUN
ap-5709	26	3	method	method	NOUN
ap-5709	26	4	is	be	AUX
ap-5709	26	5	one	one	NUM
ap-5709	26	6	of	of	ADP
ap-5709	26	7	the	the	DET
ap-5709	26	8	most	most	ADV
ap-5709	26	9	advanced	advanced	ADJ
ap-5709	26	10	techniques	technique	NOUN
ap-5709	26	11	in	in	ADP
ap-5709	26	12	upscaling	upscale	VERB
ap-5709	26	13	the	the	DET
ap-5709	26	14	response	response	NOUN
ap-5709	26	15	of	of	ADP
ap-5709	26	16	the	the	DET
ap-5709	26	17	microstructure	microstructure	NOUN
ap-5709	26	18	of	of	ADP
ap-5709	26	19	heterogeneous	heterogeneous	ADJ
ap-5709	26	20	materials	material	NOUN
ap-5709	26	21	,	,	PUNCT
ap-5709	26	22	e.g.	e.g.	ADV
ap-5709	26	23	[	[	X
ap-5709	26	24	19	19	NUM
ap-5709	26	25	–	–	SYM
ap-5709	26	26	28	28	NUM
ap-5709	26	27	]	]	PUNCT
ap-5709	26	28	.	.	PUNCT
ap-5709	27	1	in	in	ADP
ap-5709	27	2	this	this	DET
ap-5709	27	3	method	method	NOUN
ap-5709	27	4	,	,	PUNCT
ap-5709	27	5	the	the	DET
ap-5709	27	6	solution	solution	NOUN
ap-5709	27	7	of	of	ADP
ap-5709	27	8	a	a	DET
ap-5709	27	9	fine	fine	ADJ
ap-5709	27	10	scale	scale	NOUN
ap-5709	27	11	problem	problem	NOUN
ap-5709	27	12	is	be	AUX
ap-5709	27	13	used	use	VERB
ap-5709	27	14	to	to	PART
ap-5709	27	15	examine	examine	VERB
ap-5709	27	16	the	the	DET
ap-5709	27	17	local	local	ADJ
ap-5709	27	18	material	material	NOUN
ap-5709	27	19	behaviour	behaviour	NOUN
ap-5709	27	20	at	at	ADP
ap-5709	27	21	the	the	DET
ap-5709	27	22	macroscale	macroscale	NOUN
ap-5709	27	23	.	.	PUNCT
ap-5709	28	1	combining	combine	VERB
ap-5709	28	2	the	the	DET
ap-5709	28	3	heat	heat	NOUN
ap-5709	28	4	transfer	transfer	NOUN
ap-5709	28	5	together	together	ADV
ap-5709	28	6	with	with	ADP
ap-5709	28	7	mass	mass	NOUN
ap-5709	28	8	flows	flow	NOUN
ap-5709	28	9	through	through	ADP
ap-5709	28	10	fresh	fresh	ADJ
ap-5709	28	11	concrete	concrete	NOUN
ap-5709	28	12	motivates	motivate	VERB
ap-5709	28	13	us	we	PRON
ap-5709	28	14	to	to	PART
ap-5709	28	15	construct	construct	VERB
ap-5709	28	16	a	a	DET
ap-5709	28	17	fully	fully	ADV
ap-5709	28	18	coupled	couple	VERB
ap-5709	28	19	multi	multi	NOUN
ap-5709	28	20	-	-	NOUN
ap-5709	28	21	field	field	NOUN
ap-5709	28	22	and	and	CCONJ
ap-5709	28	23	a	a	DET
ap-5709	28	24	two	two	NUM
ap-5709	28	25	-	-	PUNCT
ap-5709	28	26	scale	scale	NOUN
ap-5709	28	27	(	(	PUNCT
ap-5709	28	28	meso	meso	NOUN
ap-5709	28	29	-	-	PUNCT
ap-5709	28	30	macro	macro	NOUN
ap-5709	28	31	)	)	PUNCT
ap-5709	28	32	homogenization	homogenization	NOUN
ap-5709	28	33	framework	framework	NOUN
ap-5709	28	34	.	.	PUNCT
ap-5709	29	1	12	12	NUM
ap-5709	29	2	https://doi.org/10.14311/ap.2020.60.0012	https://doi.org/10.14311/ap.2020.60.0012	PROPN
ap-5709	29	3	https://ojs.cvut.cz/ojs/index.php/ap	https://ojs.cvut.cz/ojs/index.php/ap	NUM
ap-5709	29	4	vol	vol	NOUN
ap-5709	29	5	.	.	PUNCT
ap-5709	30	1	60	60	NUM
ap-5709	30	2	no	no	NOUN
ap-5709	30	3	.	.	PUNCT
ap-5709	31	1	1/2020	1/2020	NUM
ap-5709	31	2	homogenization	homogenization	NOUN
ap-5709	31	3	of	of	ADP
ap-5709	31	4	transport	transport	NOUN
ap-5709	31	5	processes	process	NOUN
ap-5709	31	6	and	and	CCONJ
ap-5709	31	7	hydration	hydration	NOUN
ap-5709	31	8	phenomena	phenomenon	NOUN
ap-5709	31	9	.	.	PUNCT
ap-5709	31	10	.	.	PUNCT
ap-5709	31	11	.	.	PUNCT
ap-5709	32	1	2	2	X
ap-5709	32	2	.	.	X
ap-5709	32	3	the	the	DET
ap-5709	32	4	mesoscale	mesoscale	ADJ
ap-5709	32	5	model	model	NOUN
ap-5709	32	6	in	in	ADP
ap-5709	32	7	the	the	DET
ap-5709	32	8	mesoscale	mesoscale	ADJ
ap-5709	32	9	model	model	NOUN
ap-5709	32	10	,	,	PUNCT
ap-5709	32	11	concrete	concrete	NOUN
ap-5709	32	12	is	be	AUX
ap-5709	32	13	assumed	assume	VERB
ap-5709	32	14	as	as	ADP
ap-5709	32	15	a	a	DET
ap-5709	32	16	composite	composite	ADJ
ap-5709	32	17	material	material	NOUN
ap-5709	32	18	with	with	ADP
ap-5709	32	19	two	two	NUM
ap-5709	32	20	periodically	periodically	ADV
ap-5709	32	21	distributed	distribute	VERB
ap-5709	32	22	mesoscale	mesoscale	ADJ
ap-5709	32	23	components	component	NOUN
ap-5709	32	24	,	,	PUNCT
ap-5709	32	25	cement	cement	NOUN
ap-5709	32	26	paste	paste	NOUN
ap-5709	32	27	and	and	CCONJ
ap-5709	32	28	aggregates	aggregate	NOUN
ap-5709	32	29	,	,	PUNCT
ap-5709	32	30	represented	represent	VERB
ap-5709	32	31	by	by	ADP
ap-5709	32	32	multiphase	multiphase	NOUN
ap-5709	32	33	hygroscopic	hygroscopic	NOUN
ap-5709	32	34	and	and	CCONJ
ap-5709	32	35	heat	heat	NOUN
ap-5709	32	36	conducting	conduct	VERB
ap-5709	32	37	rigid	rigid	ADJ
ap-5709	32	38	porous	porous	ADJ
ap-5709	32	39	media	medium	NOUN
ap-5709	32	40	partially	partially	ADV
ap-5709	32	41	saturated	saturate	VERB
ap-5709	32	42	with	with	ADP
ap-5709	32	43	liquid	liquid	ADJ
ap-5709	32	44	water	water	NOUN
ap-5709	32	45	,	,	PUNCT
ap-5709	32	46	e.g.	e.g.	ADV
ap-5709	32	47	[	[	X
ap-5709	32	48	4	4	NUM
ap-5709	32	49	,	,	PUNCT
ap-5709	32	50	8	8	NUM
ap-5709	32	51	]	]	PUNCT
ap-5709	32	52	.	.	PUNCT
ap-5709	33	1	the	the	DET
ap-5709	33	2	detailed	detailed	ADJ
ap-5709	33	3	description	description	NOUN
ap-5709	33	4	of	of	ADP
ap-5709	33	5	the	the	DET
ap-5709	33	6	assumptions	assumption	NOUN
ap-5709	33	7	adopted	adopt	VERB
ap-5709	33	8	for	for	ADP
ap-5709	33	9	developing	develop	VERB
ap-5709	33	10	the	the	DET
ap-5709	33	11	model	model	NOUN
ap-5709	33	12	is	be	AUX
ap-5709	33	13	given	give	VERB
ap-5709	33	14	in	in	ADP
ap-5709	33	15	our	our	PRON
ap-5709	33	16	previous	previous	ADJ
ap-5709	33	17	work	work	NOUN
ap-5709	33	18	[	[	X
ap-5709	33	19	17	17	NUM
ap-5709	33	20	]	]	PUNCT
ap-5709	33	21	.	.	PUNCT
ap-5709	34	1	let	let	VERB
ap-5709	34	2	ω	ω	PRON
ap-5709	34	3	be	be	AUX
ap-5709	34	4	a	a	DET
ap-5709	34	5	polygonal	polygonal	ADJ
ap-5709	34	6	domain	domain	NOUN
ap-5709	34	7	with	with	ADP
ap-5709	34	8	boundary	boundary	ADJ
ap-5709	34	9	∂ω	∂ω	PROPN
ap-5709	34	10	.	.	PUNCT
ap-5709	35	1	consider	consider	VERB
ap-5709	35	2	a	a	DET
ap-5709	35	3	concrete	concrete	ADJ
ap-5709	35	4	composite	composite	NOUN
ap-5709	35	5	consisting	consist	VERB
ap-5709	35	6	of	of	ADP
ap-5709	35	7	two	two	NUM
ap-5709	35	8	flow	flow	NOUN
ap-5709	35	9	regions	region	NOUN
ap-5709	35	10	(	(	PUNCT
ap-5709	35	11	aggregates	aggregate	NOUN
ap-5709	35	12	and	and	CCONJ
ap-5709	35	13	cement	cement	NOUN
ap-5709	35	14	paste	paste	NOUN
ap-5709	35	15	)	)	PUNCT
ap-5709	35	16	periodically	periodically	ADV
ap-5709	35	17	distributed	distribute	VERB
ap-5709	35	18	in	in	ADP
ap-5709	35	19	a	a	DET
ap-5709	35	20	domain	domain	NOUN
ap-5709	35	21	ω	ω	NOUN
ap-5709	35	22	with	with	ADP
ap-5709	35	23	period	period	NOUN
ap-5709	35	24	εy	εy	NOUN
ap-5709	35	25	,	,	PUNCT
ap-5709	35	26	where	where	SCONJ
ap-5709	35	27	y	y	PROPN
ap-5709	35	28	=	=	SYM
ap-5709	35	29	(	(	PUNCT
ap-5709	35	30	0	0	NUM
ap-5709	35	31	,	,	PUNCT
ap-5709	35	32	1)2	1)2	NUM
ap-5709	35	33	is	be	AUX
ap-5709	35	34	a	a	DET
ap-5709	35	35	periodicity	periodicity	NOUN
ap-5709	35	36	cell	cell	NOUN
ap-5709	35	37	split	split	VERB
ap-5709	35	38	into	into	ADP
ap-5709	35	39	two	two	NUM
ap-5709	35	40	complementary	complementary	ADJ
ap-5709	35	41	parts	part	NOUN
ap-5709	35	42	ya	ya	PROPN
ap-5709	35	43	and	and	CCONJ
ap-5709	35	44	yc	yc	PROPN
ap-5709	35	45	.	.	PUNCT
ap-5709	36	1	throughout	throughout	ADP
ap-5709	36	2	the	the	DET
ap-5709	36	3	paper	paper	NOUN
ap-5709	36	4	,	,	PUNCT
ap-5709	36	5	subscripts	subscript	VERB
ap-5709	36	6	a	a	PRON
ap-5709	36	7	and	and	CCONJ
ap-5709	36	8	c	c	NOUN
ap-5709	36	9	refer	refer	VERB
ap-5709	36	10	to	to	ADP
ap-5709	36	11	aggregates	aggregate	NOUN
ap-5709	36	12	and	and	CCONJ
ap-5709	36	13	cement	cement	NOUN
ap-5709	36	14	paste	paste	NOUN
ap-5709	36	15	,	,	PUNCT
ap-5709	36	16	respectively	respectively	ADV
ap-5709	36	17	.	.	PUNCT
ap-5709	37	1	by	by	ADP
ap-5709	37	2	χa	χa	PRON
ap-5709	37	3	and	and	CCONJ
ap-5709	37	4	χc	χc	PROPN
ap-5709	37	5	,	,	PUNCT
ap-5709	37	6	we	we	PRON
ap-5709	37	7	denote	denote	VERB
ap-5709	37	8	the	the	DET
ap-5709	37	9	corresponding	corresponding	ADJ
ap-5709	37	10	characteristic	characteristic	ADJ
ap-5709	37	11	functions	function	NOUN
ap-5709	37	12	of	of	ADP
ap-5709	37	13	ya	ya	PRON
ap-5709	37	14	and	and	CCONJ
ap-5709	37	15	yc	yc	PROPN
ap-5709	37	16	,	,	PUNCT
ap-5709	37	17	respectively	respectively	ADV
ap-5709	37	18	,	,	PUNCT
ap-5709	37	19	extended	extend	VERB
ap-5709	37	20	y	y	NOUN
ap-5709	37	21	–	–	PUNCT
ap-5709	37	22	periodically	periodically	ADV
ap-5709	37	23	to	to	ADP
ap-5709	37	24	r2	r2	PROPN
ap-5709	37	25	.	.	PUNCT
ap-5709	38	1	from	from	ADP
ap-5709	38	2	the	the	DET
ap-5709	38	3	geometrical	geometrical	ADJ
ap-5709	38	4	point	point	NOUN
ap-5709	38	5	of	of	ADP
ap-5709	38	6	view	view	NOUN
ap-5709	38	7	,	,	PUNCT
ap-5709	38	8	ε	ε	PROPN
ap-5709	38	9	is	be	AUX
ap-5709	38	10	the	the	DET
ap-5709	38	11	characteristic	characteristic	ADJ
ap-5709	38	12	length	length	NOUN
ap-5709	38	13	representing	represent	VERB
ap-5709	38	14	the	the	DET
ap-5709	38	15	small	small	ADJ
ap-5709	38	16	scale	scale	NOUN
ap-5709	38	17	variability	variability	NOUN
ap-5709	38	18	of	of	ADP
ap-5709	38	19	the	the	DET
ap-5709	38	20	concrete	concrete	ADJ
ap-5709	38	21	composite	composite	NOUN
ap-5709	38	22	.	.	PUNCT
ap-5709	39	1	in	in	ADP
ap-5709	39	2	this	this	DET
ap-5709	39	3	paper	paper	NOUN
ap-5709	39	4	,	,	PUNCT
ap-5709	39	5	we	we	PRON
ap-5709	39	6	present	present	VERB
ap-5709	39	7	the	the	DET
ap-5709	39	8	homogenization	homogenization	NOUN
ap-5709	39	9	result	result	NOUN
ap-5709	39	10	for	for	ADP
ap-5709	39	11	the	the	DET
ap-5709	39	12	problem	problem	NOUN
ap-5709	39	13	(	(	PUNCT
ap-5709	39	14	indexed	index	VERB
ap-5709	39	15	by	by	ADP
ap-5709	39	16	ε	ε	PROPN
ap-5709	39	17	)	)	PUNCT
ap-5709	39	18	∂t	∂t	PROPN
ap-5709	40	1	[	[	X
ap-5709	40	2	%	%	X
ap-5709	40	3	w	w	NOUN
ap-5709	40	4	(	(	PUNCT
ap-5709	40	5	χεcφc(ξε	χεcφc(ξε	PROPN
ap-5709	40	6	)	)	PUNCT
ap-5709	40	7	+	+	NUM
ap-5709	40	8	χεaφa)s(pε	χεaφa)s(pε	NOUN
ap-5709	40	9	)	)	PUNCT
ap-5709	40	10	]	]	PUNCT
ap-5709	41	1	−∇	−∇	NOUN
ap-5709	41	2	·	·	PUNCT
ap-5709	41	3	[	[	PUNCT
ap-5709	41	4	%	%	NOUN
ap-5709	41	5	wkr(s(pε	wkr(s(pε	NOUN
ap-5709	41	6	)	)	PUNCT
ap-5709	41	7	)	)	PUNCT
ap-5709	42	1	µ(ϑε	µ(ϑε	NOUN
ap-5709	42	2	)	)	PUNCT
ap-5709	42	3	(	(	PUNCT
ap-5709	42	4	χεckc(ξε	χεckc(ξε	NOUN
ap-5709	42	5	)	)	PUNCT
ap-5709	42	6	+	+	NUM
ap-5709	42	7	χεaka)∇pε	χεaka)∇pε	NOUN
ap-5709	42	8	]	]	PUNCT
ap-5709	43	1	=	=	PUNCT
ap-5709	43	2	α1χ	α1χ	PROPN
ap-5709	43	3	ε	ε	PROPN
ap-5709	43	4	cf(pε	cf(pε	PROPN
ap-5709	43	5	,	,	PUNCT
ap-5709	43	6	ϑε	ϑε	NOUN
ap-5709	43	7	,	,	PUNCT
ap-5709	43	8	ξε	ξε	NOUN
ap-5709	43	9	)	)	PUNCT
ap-5709	43	10	,	,	PUNCT
ap-5709	43	11	(	(	PUNCT
ap-5709	43	12	1	1	X
ap-5709	43	13	)	)	PUNCT
ap-5709	43	14	∂t	∂t	PROPN
ap-5709	44	1	[	[	X
ap-5709	44	2	cw%w	cw%w	X
ap-5709	44	3	(	(	PUNCT
ap-5709	44	4	χεcφc(ξε	χεcφc(ξε	PROPN
ap-5709	44	5	)	)	PUNCT
ap-5709	44	6	+	+	SYM
ap-5709	44	7	χεaφa)s(pε)ϑε	χεaφa)s(pε)ϑε	NOUN
ap-5709	44	8	]	]	X
ap-5709	44	9	+	+	CCONJ
ap-5709	44	10	∂t	∂t	PROPN
ap-5709	45	1	[	[	X
ap-5709	45	2	(	(	PUNCT
ap-5709	45	3	χεc%sccsc(1−	χεc%sccsc(1−	PROPN
ap-5709	45	4	φc(ξε	φc(ξε	PROPN
ap-5709	45	5	)	)	PUNCT
ap-5709	45	6	)	)	PUNCT
ap-5709	46	1	+	+	CCONJ
ap-5709	46	2	χεa%sacsa(1−	χεa%sacsa(1−	NUM
ap-5709	46	3	φa))ϑε	φa))ϑε	PROPN
ap-5709	46	4	]	]	PUNCT
ap-5709	46	5	−∇	−∇	NOUN
ap-5709	46	6	·	·	PUNCT
ap-5709	47	1	[	[	X
ap-5709	47	2	(	(	PUNCT
ap-5709	47	3	χεcλc(pε	χεcλc(pε	NOUN
ap-5709	47	4	,	,	PUNCT
ap-5709	47	5	ϑε	ϑε	NOUN
ap-5709	47	6	,	,	PUNCT
ap-5709	47	7	ξε	ξε	NOUN
ap-5709	47	8	)	)	PUNCT
ap-5709	47	9	+	+	CCONJ
ap-5709	47	10	χεaλa(pε	χεaλa(pε	NOUN
ap-5709	47	11	,	,	PUNCT
ap-5709	47	12	ϑε))∇ϑε	ϑε))∇ϑε	PROPN
ap-5709	47	13	]	]	X
ap-5709	47	14	−∇	−∇	NOUN
ap-5709	47	15	·	·	PUNCT
ap-5709	47	16	[	[	PUNCT
ap-5709	47	17	cw%wϑ	cw%wϑ	PROPN
ap-5709	47	18	ε	ε	PROPN
ap-5709	47	19	kr(s(pε	kr(s(pε	PROPN
ap-5709	47	20	)	)	PUNCT
ap-5709	47	21	)	)	PUNCT
ap-5709	47	22	µ(ϑε	µ(ϑε	NOUN
ap-5709	47	23	)	)	PUNCT
ap-5709	47	24	(	(	PUNCT
ap-5709	47	25	χεckc(ξε	χεckc(ξε	NOUN
ap-5709	47	26	)	)	PUNCT
ap-5709	48	1	+	+	NUM
ap-5709	48	2	χεaka)∇pε	χεaka)∇pε	NOUN
ap-5709	48	3	]	]	PUNCT
ap-5709	49	1	=	=	PUNCT
ap-5709	49	2	α2χ	α2χ	PROPN
ap-5709	49	3	ε	ε	PROPN
ap-5709	49	4	cf(pε	cf(pε	PROPN
ap-5709	49	5	,	,	PUNCT
ap-5709	49	6	ϑε	ϑε	NOUN
ap-5709	49	7	,	,	PUNCT
ap-5709	49	8	ξε	ξε	NOUN
ap-5709	49	9	)	)	PUNCT
ap-5709	49	10	,	,	PUNCT
ap-5709	49	11	(	(	PUNCT
ap-5709	49	12	2	2	X
ap-5709	49	13	)	)	PUNCT
ap-5709	49	14	coupled	couple	VERB
ap-5709	49	15	with	with	ADP
ap-5709	49	16	an	an	DET
ap-5709	49	17	integral	integral	ADJ
ap-5709	49	18	condition	condition	NOUN
ap-5709	49	19	ξε(x	ξε(x	NOUN
ap-5709	49	20	,	,	PUNCT
ap-5709	49	21	t	t	PROPN
ap-5709	49	22	)	)	PUNCT
ap-5709	49	23	=	=	SYM
ap-5709	50	1	∫	∫	PROPN
ap-5709	50	2	t	t	NOUN
ap-5709	50	3	0	0	NUM
ap-5709	51	1	f(pε(x	f(pε(x	PROPN
ap-5709	51	2	,	,	PUNCT
ap-5709	51	3	s	s	NOUN
ap-5709	51	4	)	)	PUNCT
ap-5709	51	5	,	,	PUNCT
ap-5709	51	6	ϑε(x	ϑε(x	NOUN
ap-5709	51	7	,	,	PUNCT
ap-5709	51	8	s	s	PART
ap-5709	51	9	)	)	PUNCT
ap-5709	51	10	,	,	PUNCT
ap-5709	51	11	ξε(x	ξε(x	X
ap-5709	51	12	,	,	PUNCT
ap-5709	51	13	s	s	NOUN
ap-5709	51	14	)	)	PUNCT
ap-5709	51	15	)	)	PUNCT
ap-5709	51	16	ds	ds	PROPN
ap-5709	51	17	.	.	PUNCT
ap-5709	52	1	(	(	PUNCT
ap-5709	52	2	3	3	X
ap-5709	52	3	)	)	PUNCT
ap-5709	52	4	the	the	DET
ap-5709	52	5	unknowns	unknown	NOUN
ap-5709	52	6	in	in	ADP
ap-5709	52	7	the	the	DET
ap-5709	52	8	model	model	NOUN
ap-5709	52	9	are	be	AUX
ap-5709	52	10	the	the	DET
ap-5709	52	11	temperature	temperature	NOUN
ap-5709	52	12	ϑε	ϑε	NOUN
ap-5709	52	13	,	,	PUNCT
ap-5709	52	14	water	water	NOUN
ap-5709	52	15	pressure	pressure	NOUN
ap-5709	52	16	pε	pε	NOUN
ap-5709	52	17	,	,	PUNCT
ap-5709	52	18	and	and	CCONJ
ap-5709	52	19	the	the	DET
ap-5709	52	20	memory	memory	NOUN
ap-5709	52	21	function	function	NOUN
ap-5709	52	22	ξε	ξε	NOUN
ap-5709	52	23	,	,	PUNCT
ap-5709	52	24	the	the	DET
ap-5709	52	25	so	so	ADV
ap-5709	52	26	-	-	PUNCT
ap-5709	52	27	called	call	VERB
ap-5709	52	28	degree	degree	NOUN
ap-5709	52	29	of	of	ADP
ap-5709	52	30	hydration	hydration	NOUN
ap-5709	52	31	.	.	PUNCT
ap-5709	53	1	from	from	ADP
ap-5709	53	2	the	the	DET
ap-5709	53	3	physical	physical	ADJ
ap-5709	53	4	point	point	NOUN
ap-5709	53	5	of	of	ADP
ap-5709	53	6	view	view	NOUN
ap-5709	53	7	,	,	PUNCT
ap-5709	53	8	equations	equation	NOUN
ap-5709	53	9	(	(	PUNCT
ap-5709	53	10	1	1	NUM
ap-5709	53	11	)	)	PUNCT
ap-5709	53	12	and	and	CCONJ
ap-5709	53	13	(	(	PUNCT
ap-5709	53	14	2	2	NUM
ap-5709	53	15	)	)	PUNCT
ap-5709	53	16	,	,	PUNCT
ap-5709	53	17	respectively	respectively	ADV
ap-5709	53	18	,	,	PUNCT
ap-5709	53	19	represent	represent	VERB
ap-5709	53	20	the	the	DET
ap-5709	53	21	mass	mass	NOUN
ap-5709	53	22	balance	balance	NOUN
ap-5709	53	23	of	of	ADP
ap-5709	53	24	moisture	moisture	NOUN
ap-5709	53	25	(	(	PUNCT
ap-5709	53	26	liquid	liquid	ADJ
ap-5709	53	27	water	water	NOUN
ap-5709	53	28	)	)	PUNCT
ap-5709	53	29	and	and	CCONJ
ap-5709	53	30	the	the	DET
ap-5709	53	31	heat	heat	NOUN
ap-5709	53	32	equation	equation	NOUN
ap-5709	53	33	for	for	ADP
ap-5709	53	34	the	the	DET
ap-5709	53	35	porous	porous	ADJ
ap-5709	53	36	system	system	NOUN
ap-5709	53	37	,	,	PUNCT
ap-5709	53	38	see	see	VERB
ap-5709	54	1	e.g.	e.g.	ADV
ap-5709	54	2	[	[	X
ap-5709	54	3	9	9	NUM
ap-5709	54	4	]	]	PUNCT
ap-5709	54	5	.	.	PUNCT
ap-5709	55	1	equation	equation	NOUN
ap-5709	55	2	(	(	PUNCT
ap-5709	55	3	3	3	X
ap-5709	55	4	)	)	PUNCT
ap-5709	55	5	represents	represent	VERB
ap-5709	55	6	an	an	DET
ap-5709	55	7	additional	additional	ADJ
ap-5709	55	8	integral	integral	ADJ
ap-5709	55	9	condition	condition	NOUN
ap-5709	55	10	.	.	PUNCT
ap-5709	56	1	such	such	ADJ
ap-5709	56	2	type	type	NOUN
ap-5709	56	3	of	of	ADP
ap-5709	56	4	equations	equation	NOUN
ap-5709	56	5	arises	arise	VERB
ap-5709	56	6	in	in	ADP
ap-5709	56	7	the	the	DET
ap-5709	56	8	theory	theory	NOUN
ap-5709	56	9	of	of	ADP
ap-5709	56	10	heat	heat	NOUN
ap-5709	56	11	conduction	conduction	NOUN
ap-5709	56	12	when	when	SCONJ
ap-5709	56	13	inner	inner	ADJ
ap-5709	56	14	heat	heat	NOUN
ap-5709	56	15	sources	source	NOUN
ap-5709	56	16	are	be	AUX
ap-5709	56	17	of	of	ADP
ap-5709	56	18	special	special	ADJ
ap-5709	56	19	types	type	NOUN
ap-5709	56	20	,	,	PUNCT
ap-5709	56	21	in	in	ADP
ap-5709	56	22	particular	particular	ADJ
ap-5709	56	23	,	,	PUNCT
ap-5709	56	24	in	in	ADP
ap-5709	56	25	so	so	ADV
ap-5709	56	26	-	-	PUNCT
ap-5709	56	27	called	call	VERB
ap-5709	56	28	problems	problem	NOUN
ap-5709	56	29	of	of	ADP
ap-5709	56	30	hydration	hydration	NOUN
ap-5709	56	31	heat	heat	NOUN
ap-5709	56	32	.	.	PUNCT
ap-5709	57	1	in	in	ADP
ap-5709	57	2	this	this	DET
ap-5709	57	3	case	case	NOUN
ap-5709	57	4	,	,	PUNCT
ap-5709	57	5	the	the	DET
ap-5709	57	6	intensity	intensity	NOUN
ap-5709	57	7	of	of	ADP
ap-5709	57	8	inner	inner	ADJ
ap-5709	57	9	sources	source	NOUN
ap-5709	57	10	of	of	ADP
ap-5709	57	11	heat	heat	NOUN
ap-5709	57	12	also	also	ADV
ap-5709	57	13	depends	depend	VERB
ap-5709	57	14	on	on	ADP
ap-5709	57	15	the	the	DET
ap-5709	57	16	amount	amount	NOUN
ap-5709	57	17	of	of	ADP
ap-5709	57	18	heat	heat	NOUN
ap-5709	57	19	already	already	ADV
ap-5709	57	20	developed	develop	VERB
ap-5709	57	21	,	,	PUNCT
ap-5709	57	22	see	see	VERB
ap-5709	57	23	[	[	X
ap-5709	57	24	29	29	NUM
ap-5709	57	25	]	]	PUNCT
ap-5709	57	26	.	.	PUNCT
ap-5709	58	1	in	in	ADP
ap-5709	58	2	the	the	DET
ap-5709	58	3	mesoscale	mesoscale	ADJ
ap-5709	58	4	model	model	NOUN
ap-5709	58	5	,	,	PUNCT
ap-5709	58	6	we	we	PRON
ap-5709	58	7	assume	assume	VERB
ap-5709	58	8	different	different	ADJ
ap-5709	58	9	hydraulic	hydraulic	ADJ
ap-5709	58	10	and	and	CCONJ
ap-5709	58	11	thermal	thermal	ADJ
ap-5709	58	12	characteristics	characteristic	NOUN
ap-5709	58	13	in	in	ADP
ap-5709	58	14	aggregate	aggregate	ADJ
ap-5709	58	15	and	and	CCONJ
ap-5709	58	16	cement	cement	NOUN
ap-5709	58	17	paste	paste	NOUN
ap-5709	58	18	,	,	PUNCT
ap-5709	58	19	respectively	respectively	ADV
ap-5709	58	20	.	.	PUNCT
ap-5709	59	1	in	in	ADP
ap-5709	59	2	particular	particular	ADJ
ap-5709	59	3	,	,	PUNCT
ap-5709	59	4	φ	φ	PROPN
ap-5709	59	5	�	�	PROPN
ap-5709	59	6	(	(	PUNCT
ap-5709	59	7	�	�	PROPN
ap-5709	59	8	≈	≈	PROPN
ap-5709	59	9	a	a	PROPN
ap-5709	59	10	,	,	PUNCT
ap-5709	59	11	c	c	NOUN
ap-5709	59	12	)	)	PUNCT
ap-5709	59	13	is	be	AUX
ap-5709	59	14	the	the	DET
ap-5709	59	15	porosity	porosity	NOUN
ap-5709	59	16	,	,	PUNCT
ap-5709	59	17	and	and	CCONJ
ap-5709	59	18	s	s	VERB
ap-5709	59	19	represents	represent	VERB
ap-5709	59	20	the	the	DET
ap-5709	59	21	degree	degree	NOUN
ap-5709	59	22	of	of	ADP
ap-5709	59	23	saturation	saturation	NOUN
ap-5709	59	24	with	with	ADP
ap-5709	59	25	liquid	liquid	ADJ
ap-5709	59	26	water	water	NOUN
ap-5709	59	27	.	.	PUNCT
ap-5709	60	1	further	far	ADV
ap-5709	60	2	,	,	PUNCT
ap-5709	60	3	k	k	PROPN
ap-5709	60	4	�	�	PROPN
ap-5709	60	5	is	be	AUX
ap-5709	60	6	the	the	DET
ap-5709	60	7	intrinsic	intrinsic	ADJ
ap-5709	60	8	permeability	permeability	NOUN
ap-5709	60	9	,	,	PUNCT
ap-5709	60	10	kr	kr	PROPN
ap-5709	60	11	represents	represent	VERB
ap-5709	60	12	the	the	DET
ap-5709	60	13	relative	relative	ADJ
ap-5709	60	14	hydraulic	hydraulic	ADJ
ap-5709	60	15	conductivity	conductivity	NOUN
ap-5709	60	16	,	,	PUNCT
ap-5709	60	17	λ	λ	PRON
ap-5709	60	18	�	�	PROPN
ap-5709	60	19	is	be	AUX
ap-5709	60	20	the	the	DET
ap-5709	60	21	thermal	thermal	ADJ
ap-5709	60	22	conductivity	conductivity	NOUN
ap-5709	60	23	function	function	NOUN
ap-5709	60	24	,	,	PUNCT
ap-5709	60	25	and	and	CCONJ
ap-5709	60	26	µ	µ	X
ap-5709	60	27	is	be	AUX
ap-5709	60	28	the	the	DET
ap-5709	60	29	temperature	temperature	NOUN
ap-5709	60	30	dependent	dependent	ADJ
ap-5709	60	31	viscosity	viscosity	NOUN
ap-5709	60	32	of	of	ADP
ap-5709	60	33	the	the	DET
ap-5709	60	34	fluid	fluid	NOUN
ap-5709	60	35	.	.	PUNCT
ap-5709	61	1	material	material	NOUN
ap-5709	61	2	constants	constant	NOUN
ap-5709	61	3	are	be	AUX
ap-5709	61	4	as	as	SCONJ
ap-5709	61	5	follows	follow	VERB
ap-5709	61	6	:	:	PUNCT
ap-5709	61	7	%	%	INTJ
ap-5709	61	8	w	w	NOUN
ap-5709	61	9	is	be	AUX
ap-5709	61	10	the	the	DET
ap-5709	61	11	density	density	NOUN
ap-5709	61	12	of	of	ADP
ap-5709	61	13	liquid	liquid	ADJ
ap-5709	61	14	water	water	NOUN
ap-5709	61	15	and	and	CCONJ
ap-5709	61	16	cw	cw	NOUN
ap-5709	61	17	represents	represent	VERB
ap-5709	61	18	the	the	DET
ap-5709	61	19	isobaric	isobaric	ADJ
ap-5709	61	20	heat	heat	NOUN
ap-5709	61	21	capacity	capacity	NOUN
ap-5709	61	22	of	of	ADP
ap-5709	61	23	water	water	NOUN
ap-5709	61	24	.	.	PUNCT
ap-5709	62	1	moreover	moreover	ADV
ap-5709	62	2	,	,	PUNCT
ap-5709	62	3	%	%	NOUN
ap-5709	62	4	s	s	X
ap-5709	62	5	�	�	PROPN
ap-5709	62	6	and	and	CCONJ
ap-5709	62	7	cs	cs	PROPN
ap-5709	62	8	�	�	PROPN
ap-5709	62	9	,	,	PUNCT
ap-5709	62	10	respectively	respectively	ADV
ap-5709	62	11	,	,	PUNCT
ap-5709	62	12	are	be	AUX
ap-5709	62	13	the	the	DET
ap-5709	62	14	mass	mass	ADJ
ap-5709	62	15	density	density	NOUN
ap-5709	62	16	and	and	CCONJ
ap-5709	62	17	the	the	DET
ap-5709	62	18	isobaric	isobaric	ADJ
ap-5709	62	19	heat	heat	NOUN
ap-5709	62	20	capacity	capacity	NOUN
ap-5709	62	21	of	of	ADP
ap-5709	62	22	the	the	DET
ap-5709	62	23	solid	solid	NOUN
ap-5709	62	24	.	.	PUNCT
ap-5709	63	1	finally	finally	ADV
ap-5709	63	2	,	,	PUNCT
ap-5709	63	3	f	f	PROPN
ap-5709	63	4	is	be	AUX
ap-5709	63	5	the	the	DET
ap-5709	63	6	hydration	hydration	NOUN
ap-5709	63	7	degree	degree	NOUN
ap-5709	63	8	rate	rate	NOUN
ap-5709	63	9	and	and	CCONJ
ap-5709	63	10	parameters	parameter	NOUN
ap-5709	63	11	α1	α1	PROPN
ap-5709	63	12	and	and	CCONJ
ap-5709	63	13	α2	α2	ADJ
ap-5709	63	14	on	on	ADP
ap-5709	63	15	the	the	DET
ap-5709	63	16	right	right	ADJ
ap-5709	63	17	hand	hand	NOUN
ap-5709	63	18	sides	side	NOUN
ap-5709	63	19	of	of	ADP
ap-5709	63	20	(	(	PUNCT
ap-5709	63	21	1	1	NUM
ap-5709	63	22	)	)	PUNCT
ap-5709	63	23	and	and	CCONJ
ap-5709	63	24	(	(	PUNCT
ap-5709	63	25	2	2	X
ap-5709	63	26	)	)	PUNCT
ap-5709	63	27	express	express	VERB
ap-5709	63	28	the	the	DET
ap-5709	63	29	final	final	ADJ
ap-5709	63	30	values	value	NOUN
ap-5709	63	31	of	of	ADP
ap-5709	63	32	mass	mass	NOUN
ap-5709	63	33	of	of	ADP
ap-5709	63	34	hydrated	hydrated	ADJ
ap-5709	63	35	water	water	NOUN
ap-5709	63	36	and	and	CCONJ
ap-5709	63	37	the	the	DET
ap-5709	63	38	amount	amount	NOUN
ap-5709	63	39	of	of	ADP
ap-5709	63	40	released	release	VERB
ap-5709	63	41	heat	heat	NOUN
ap-5709	63	42	energy	energy	NOUN
ap-5709	63	43	during	during	ADP
ap-5709	63	44	hydration	hydration	NOUN
ap-5709	63	45	,	,	PUNCT
ap-5709	63	46	respectively	respectively	ADV
ap-5709	63	47	.	.	PUNCT
ap-5709	64	1	to	to	PART
ap-5709	64	2	complete	complete	VERB
ap-5709	64	3	the	the	DET
ap-5709	64	4	model	model	NOUN
ap-5709	64	5	,	,	PUNCT
ap-5709	64	6	it	it	PRON
ap-5709	64	7	is	be	AUX
ap-5709	64	8	further	far	ADV
ap-5709	64	9	necessary	necessary	ADJ
ap-5709	64	10	to	to	PART
ap-5709	64	11	prescribe	prescribe	VERB
ap-5709	64	12	the	the	DET
ap-5709	64	13	initial	initial	ADJ
ap-5709	64	14	and	and	CCONJ
ap-5709	64	15	boundary	boundary	ADJ
ap-5709	64	16	conditions	condition	NOUN
ap-5709	64	17	.	.	PUNCT
ap-5709	65	1	the	the	DET
ap-5709	65	2	initial	initial	ADJ
ap-5709	65	3	conditions	condition	NOUN
ap-5709	65	4	specify	specify	VERB
ap-5709	65	5	the	the	DET
ap-5709	65	6	initial	initial	ADJ
ap-5709	65	7	fields	field	NOUN
ap-5709	65	8	of	of	ADP
ap-5709	65	9	the	the	DET
ap-5709	65	10	water	water	NOUN
ap-5709	65	11	pressure	pressure	NOUN
ap-5709	65	12	and	and	CCONJ
ap-5709	65	13	temperature	temperature	NOUN
ap-5709	65	14	:	:	PUNCT
ap-5709	65	15	pε(0	pε(0	NOUN
ap-5709	65	16	)	)	PUNCT
ap-5709	65	17	=	=	SYM
ap-5709	65	18	p0	p0	NOUN
ap-5709	65	19	,	,	PUNCT
ap-5709	65	20	ϑε(0	ϑε(0	NOUN
ap-5709	65	21	)	)	PUNCT
ap-5709	65	22	=	=	SYM
ap-5709	65	23	ϑ0	ϑ0	NOUN
ap-5709	65	24	in	in	ADP
ap-5709	65	25	ω	ω	PROPN
ap-5709	65	26	.	.	PUNCT
ap-5709	66	1	(	(	PUNCT
ap-5709	66	2	4	4	X
ap-5709	66	3	)	)	PUNCT
ap-5709	66	4	the	the	DET
ap-5709	66	5	so	so	ADV
ap-5709	66	6	-	-	PUNCT
ap-5709	66	7	called	call	VERB
ap-5709	66	8	newton	newton	PROPN
ap-5709	66	9	(	(	PUNCT
ap-5709	66	10	robin	robin	PROPN
ap-5709	66	11	type	type	PROPN
ap-5709	66	12	)	)	PUNCT
ap-5709	66	13	boundary	boundary	ADJ
ap-5709	66	14	conditions	condition	NOUN
ap-5709	66	15	are	be	AUX
ap-5709	66	16	prescribed	prescribe	VERB
ap-5709	66	17	on	on	ADP
ap-5709	66	18	the	the	DET
ap-5709	66	19	boundary	boundary	ADJ
ap-5709	66	20	∂ω	∂ω	PROPN
ap-5709	66	21	where	where	SCONJ
ap-5709	66	22	the	the	DET
ap-5709	66	23	water	water	NOUN
ap-5709	66	24	flux	flux	NOUN
ap-5709	66	25	through	through	ADP
ap-5709	66	26	the	the	DET
ap-5709	66	27	boundary	boundary	NOUN
ap-5709	66	28	of	of	ADP
ap-5709	66	29	the	the	DET
ap-5709	66	30	domain	domain	NOUN
ap-5709	66	31	is	be	AUX
ap-5709	66	32	proportional	proportional	ADJ
ap-5709	66	33	to	to	ADP
ap-5709	66	34	the	the	DET
ap-5709	66	35	difference	difference	NOUN
ap-5709	66	36	between	between	ADP
ap-5709	66	37	the	the	DET
ap-5709	66	38	pressure	pressure	NOUN
ap-5709	66	39	at	at	ADP
ap-5709	66	40	the	the	DET
ap-5709	66	41	boundary	boundary	NOUN
ap-5709	66	42	and	and	CCONJ
ap-5709	66	43	the	the	DET
ap-5709	66	44	outer	outer	ADJ
ap-5709	66	45	pressure	pressure	NOUN
ap-5709	66	46	p∞.	p∞.	INTJ
ap-5709	66	47	similarly	similarly	ADV
ap-5709	66	48	,	,	PUNCT
ap-5709	66	49	the	the	DET
ap-5709	66	50	heat	heat	NOUN
ap-5709	66	51	flux	flux	NOUN
ap-5709	66	52	at	at	ADP
ap-5709	66	53	the	the	DET
ap-5709	66	54	boundary	boundary	NOUN
ap-5709	66	55	of	of	ADP
ap-5709	66	56	the	the	DET
ap-5709	66	57	system	system	NOUN
ap-5709	66	58	is	be	AUX
ap-5709	66	59	proportional	proportional	ADJ
ap-5709	66	60	to	to	ADP
ap-5709	66	61	the	the	DET
ap-5709	66	62	difference	difference	NOUN
ap-5709	66	63	between	between	ADP
ap-5709	66	64	the	the	DET
ap-5709	66	65	temperature	temperature	NOUN
ap-5709	66	66	at	at	ADP
ap-5709	66	67	the	the	DET
ap-5709	66	68	boundary	boundary	NOUN
ap-5709	66	69	and	and	CCONJ
ap-5709	66	70	the	the	DET
ap-5709	66	71	external	external	ADJ
ap-5709	66	72	temperature	temperature	NOUN
ap-5709	66	73	ϑ∞.	ϑ∞.	PROPN
ap-5709	66	74	3	3	NUM
ap-5709	66	75	.	.	PUNCT
ap-5709	67	1	the	the	DET
ap-5709	67	2	homogenized	homogenized	ADJ
ap-5709	67	3	problem	problem	NOUN
ap-5709	67	4	the	the	DET
ap-5709	67	5	system	system	NOUN
ap-5709	67	6	(	(	PUNCT
ap-5709	67	7	1)–(3	1)–(3	NUM
ap-5709	67	8	)	)	PUNCT
ap-5709	67	9	has	have	AUX
ap-5709	67	10	been	be	AUX
ap-5709	67	11	theoretically	theoretically	ADV
ap-5709	67	12	investigated	investigate	VERB
ap-5709	67	13	in	in	ADP
ap-5709	67	14	[	[	X
ap-5709	67	15	17	17	NUM
ap-5709	67	16	,	,	PUNCT
ap-5709	67	17	29	29	NUM
ap-5709	67	18	]	]	PUNCT
ap-5709	67	19	.	.	PUNCT
ap-5709	68	1	instead	instead	ADV
ap-5709	68	2	of	of	ADP
ap-5709	68	3	solving	solve	VERB
ap-5709	68	4	(	(	PUNCT
ap-5709	68	5	1)–(3	1)–(3	NUM
ap-5709	68	6	)	)	PUNCT
ap-5709	68	7	on	on	ADP
ap-5709	68	8	a	a	DET
ap-5709	68	9	fine	fine	ADJ
ap-5709	68	10	mesh	mesh	NOUN
ap-5709	68	11	resolving	resolve	VERB
ap-5709	68	12	the	the	DET
ap-5709	68	13	small	small	ADJ
ap-5709	68	14	scale	scale	NOUN
ap-5709	68	15	variability	variability	NOUN
ap-5709	68	16	of	of	ADP
ap-5709	68	17	ε	ε	PROPN
ap-5709	68	18	,	,	PUNCT
ap-5709	68	19	the	the	DET
ap-5709	68	20	basic	basic	ADJ
ap-5709	68	21	idea	idea	NOUN
ap-5709	68	22	of	of	ADP
ap-5709	68	23	the	the	DET
ap-5709	68	24	upscaling	upscale	VERB
ap-5709	68	25	methods	method	NOUN
ap-5709	68	26	is	be	AUX
ap-5709	68	27	to	to	PART
ap-5709	68	28	replace	replace	VERB
ap-5709	68	29	the	the	DET
ap-5709	68	30	heterogeneous	heterogeneous	ADJ
ap-5709	68	31	medium	medium	NOUN
ap-5709	68	32	by	by	ADP
ap-5709	68	33	an	an	DET
ap-5709	68	34	“	"	PUNCT
ap-5709	68	35	equivalent	equivalent	ADJ
ap-5709	68	36	”	"	PUNCT
ap-5709	68	37	homogeneous	homogeneous	ADJ
ap-5709	68	38	one	one	NUM
ap-5709	68	39	.	.	PUNCT
ap-5709	69	1	it	it	PRON
ap-5709	69	2	has	have	AUX
ap-5709	69	3	been	be	AUX
ap-5709	69	4	shown	show	VERB
ap-5709	69	5	in	in	ADP
ap-5709	69	6	[	[	X
ap-5709	69	7	17	17	NUM
ap-5709	69	8	]	]	PUNCT
ap-5709	69	9	that	that	SCONJ
ap-5709	69	10	there	there	PRON
ap-5709	69	11	is	be	VERB
ap-5709	69	12	a	a	DET
ap-5709	69	13	sequence	sequence	NOUN
ap-5709	69	14	{	{	PUNCT
ap-5709	69	15	εj	εj	NOUN
ap-5709	69	16	}	}	PUNCT
ap-5709	69	17	,	,	PUNCT
ap-5709	69	18	limj→+∞	limj→+∞	X
ap-5709	69	19	εj	εj	NOUN
ap-5709	69	20	=	=	PUNCT
ap-5709	69	21	0	0	NUM
ap-5709	69	22	+	+	ADJ
ap-5709	69	23	,	,	PUNCT
ap-5709	69	24	such	such	ADJ
ap-5709	69	25	that	that	SCONJ
ap-5709	69	26	[	[	X
ap-5709	69	27	pεj	pεj	INTJ
ap-5709	69	28	,	,	PUNCT
ap-5709	69	29	ϑεj	ϑεj	NOUN
ap-5709	69	30	,	,	PUNCT
ap-5709	69	31	ξεj	ξεj	PROPN
ap-5709	69	32	]	]	PUNCT
ap-5709	69	33	converges	converge	VERB
ap-5709	69	34	in	in	ADP
ap-5709	69	35	a	a	DET
ap-5709	69	36	suitable	suitable	ADJ
ap-5709	69	37	topology	topology	NOUN
ap-5709	69	38	to	to	ADP
ap-5709	69	39	the	the	DET
ap-5709	69	40	solution	solution	NOUN
ap-5709	69	41	of	of	ADP
ap-5709	69	42	the	the	DET
ap-5709	69	43	following	following	ADJ
ap-5709	69	44	upscaled	upscaled	ADJ
ap-5709	69	45	equations	equation	NOUN
ap-5709	69	46	.	.	PUNCT
ap-5709	70	1	water	water	NOUN
ap-5709	70	2	conservation	conservation	NOUN
ap-5709	70	3	equation	equation	NOUN
ap-5709	70	4	:	:	PUNCT
ap-5709	71	1	∂t	∂t	PROPN
ap-5709	72	1	[	[	X
ap-5709	72	2	%	%	X
ap-5709	72	3	w	w	X
ap-5709	72	4	(	(	PUNCT
ap-5709	72	5	χ∗cφc(ξ	χ∗cφc(ξ	PROPN
ap-5709	72	6	)	)	PUNCT
ap-5709	72	7	+	+	NUM
ap-5709	72	8	χ∗aφa)s(p	χ∗aφa)s(p	NOUN
ap-5709	72	9	)	)	PUNCT
ap-5709	72	10	]	]	PUNCT
ap-5709	73	1	−∇	−∇	NOUN
ap-5709	73	2	·	·	PUNCT
ap-5709	74	1	[	[	X
ap-5709	74	2	a∗(p	a∗(p	PROPN
ap-5709	74	3	,	,	PUNCT
ap-5709	74	4	ϑ	ϑ	NOUN
ap-5709	74	5	,	,	PUNCT
ap-5709	74	6	ξ)∇p	ξ)∇p	NOUN
ap-5709	74	7	]	]	PUNCT
ap-5709	74	8	=	=	PUNCT
ap-5709	74	9	α1χ	α1χ	NOUN
ap-5709	74	10	∗	∗	NOUN
ap-5709	74	11	cf(p	cf(p	PROPN
ap-5709	74	12	,	,	PUNCT
ap-5709	74	13	ϑ	ϑ	X
ap-5709	74	14	,	,	PUNCT
ap-5709	74	15	ξ	ξ	NOUN
ap-5709	74	16	)	)	PUNCT
ap-5709	74	17	(	(	PUNCT
ap-5709	74	18	5	5	X
ap-5709	74	19	)	)	PUNCT
ap-5709	74	20	energy	energy	NOUN
ap-5709	74	21	conservation	conservation	NOUN
ap-5709	74	22	equation	equation	NOUN
ap-5709	74	23	:	:	PUNCT
ap-5709	75	1	∂t	∂t	PROPN
ap-5709	76	1	[	[	X
ap-5709	76	2	cw%w	cw%w	X
ap-5709	76	3	(	(	PUNCT
ap-5709	76	4	χ∗cφc(ξ	χ∗cφc(ξ	PROPN
ap-5709	76	5	)	)	PUNCT
ap-5709	76	6	+	+	CCONJ
ap-5709	76	7	χ∗aφa)s(p)ϑ	χ∗aφa)s(p)ϑ	VERB
ap-5709	76	8	]	]	X
ap-5709	77	1	∂t	∂t	PROPN
ap-5709	77	2	[	[	X
ap-5709	77	3	(	(	PUNCT
ap-5709	77	4	[	[	X
ap-5709	77	5	χ∗c%sccsc(1−	χ∗c%sccsc(1−	ADJ
ap-5709	77	6	φc(ξ	φc(ξ	NOUN
ap-5709	77	7	)	)	PUNCT
ap-5709	77	8	)	)	PUNCT
ap-5709	78	1	+	+	CCONJ
ap-5709	78	2	χ∗a%sacsa(1−	χ∗a%sacsa(1−	PROPN
ap-5709	78	3	φa)])ϑ	φa)])ϑ	PROPN
ap-5709	78	4	]	]	X
ap-5709	78	5	−∇	−∇	NOUN
ap-5709	78	6	·	·	PUNCT
ap-5709	79	1	[	[	X
ap-5709	79	2	λ∗(p	λ∗(p	PROPN
ap-5709	79	3	,	,	PUNCT
ap-5709	79	4	ϑ	ϑ	X
ap-5709	79	5	,	,	PUNCT
ap-5709	79	6	ξ)∇ϑ+	ξ)∇ϑ+	PROPN
ap-5709	79	7	cwϑa	cwϑa	PROPN
ap-5709	79	8	∗(p	∗(p	PROPN
ap-5709	79	9	,	,	PUNCT
ap-5709	79	10	ϑ	ϑ	NOUN
ap-5709	79	11	,	,	PUNCT
ap-5709	79	12	ξ)∇p	ξ)∇p	NOUN
ap-5709	79	13	]	]	PUNCT
ap-5709	79	14	=	=	PUNCT
ap-5709	79	15	α2χ	α2χ	PROPN
ap-5709	79	16	∗	∗	NOUN
ap-5709	79	17	cf(p	cf(p	PROPN
ap-5709	79	18	,	,	PUNCT
ap-5709	79	19	ϑ	ϑ	X
ap-5709	79	20	,	,	PUNCT
ap-5709	79	21	ξ	ξ	NOUN
ap-5709	79	22	)	)	PUNCT
ap-5709	79	23	.	.	PUNCT
ap-5709	80	1	(	(	PUNCT
ap-5709	80	2	6	6	X
ap-5709	80	3	)	)	PUNCT
ap-5709	80	4	the	the	DET
ap-5709	80	5	system	system	NOUN
ap-5709	80	6	is	be	AUX
ap-5709	80	7	coupled	couple	VERB
ap-5709	80	8	with	with	ADP
ap-5709	80	9	the	the	DET
ap-5709	80	10	integral	integral	ADJ
ap-5709	80	11	condition	condition	NOUN
ap-5709	80	12	ξ(x	ξ(x	NOUN
ap-5709	80	13	,	,	PUNCT
ap-5709	80	14	t	t	PROPN
ap-5709	80	15	)	)	PUNCT
ap-5709	80	16	=	=	SYM
ap-5709	81	1	∫	∫	PROPN
ap-5709	81	2	t	t	PROPN
ap-5709	81	3	0	0	X
ap-5709	82	1	f(p(x	f(p(x	PROPN
ap-5709	82	2	,	,	PUNCT
ap-5709	82	3	s	s	NOUN
ap-5709	82	4	)	)	PUNCT
ap-5709	82	5	,	,	PUNCT
ap-5709	82	6	ϑ(x	ϑ(x	PROPN
ap-5709	82	7	,	,	PUNCT
ap-5709	82	8	s	s	PART
ap-5709	82	9	)	)	PUNCT
ap-5709	82	10	,	,	PUNCT
ap-5709	82	11	ξ(x	ξ(x	NOUN
ap-5709	82	12	,	,	PUNCT
ap-5709	82	13	s))ds	s))ds	NOUN
ap-5709	82	14	.	.	PUNCT
ap-5709	83	1	(	(	PUNCT
ap-5709	83	2	7	7	X
ap-5709	83	3	)	)	PUNCT
ap-5709	83	4	in	in	ADP
ap-5709	83	5	(	(	PUNCT
ap-5709	83	6	5	5	NUM
ap-5709	83	7	)	)	PUNCT
ap-5709	83	8	and	and	CCONJ
ap-5709	83	9	(	(	PUNCT
ap-5709	83	10	6	6	NUM
ap-5709	83	11	)	)	PUNCT
ap-5709	83	12	,	,	PUNCT
ap-5709	83	13	the	the	DET
ap-5709	83	14	homogenized	homogenized	ADJ
ap-5709	83	15	coefficient	coefficient	NOUN
ap-5709	83	16	functions	function	NOUN
ap-5709	83	17	are	be	AUX
ap-5709	83	18	given	give	VERB
ap-5709	83	19	by	by	ADP
ap-5709	83	20	χ∗c	χ∗c	PRON
ap-5709	83	21	=	=	SYM
ap-5709	83	22	∫	∫	PROPN
ap-5709	83	23	y	y	PROPN
ap-5709	83	24	χc(y)dy	χc(y)dy	PROPN
ap-5709	83	25	,	,	PUNCT
ap-5709	83	26	χ∗a	χ∗a	NUM
ap-5709	83	27	=	=	SYM
ap-5709	83	28	∫	∫	PROPN
ap-5709	83	29	y	y	PROPN
ap-5709	83	30	χa(y)dy	χa(y)dy	PROPN
ap-5709	83	31	,	,	PUNCT
ap-5709	83	32	13	13	NUM
ap-5709	83	33	michal	michal	NOUN
ap-5709	83	34	beneš	beneš	PROPN
ap-5709	83	35	,	,	PUNCT
ap-5709	83	36	radek	radek	PROPN
ap-5709	83	37	štefan	štefan	PROPN
ap-5709	83	38	acta	acta	PROPN
ap-5709	83	39	polytechnica	polytechnica	PROPN
ap-5709	83	40	λ∗ij(ω	λ∗ij(ω	PROPN
ap-5709	83	41	,	,	PUNCT
ap-5709	83	42	η	η	PROPN
ap-5709	83	43	,	,	PUNCT
ap-5709	83	44	ζ	ζ	NOUN
ap-5709	83	45	)	)	PUNCT
ap-5709	83	46	=	=	SYM
ap-5709	84	1	∫	∫	PROPN
ap-5709	84	2	y	y	PROPN
ap-5709	84	3	(	(	PUNCT
ap-5709	84	4	χc(y)λc(ω	χc(y)λc(ω	PROPN
ap-5709	84	5	,	,	PUNCT
ap-5709	84	6	η	η	PROPN
ap-5709	84	7	,	,	PUNCT
ap-5709	84	8	ζ	ζ	NOUN
ap-5709	84	9	)	)	PUNCT
ap-5709	84	10	+	+	CCONJ
ap-5709	84	11	χa(y)λa(ω	χa(y)λa(ω	NOUN
ap-5709	84	12	,	,	PUNCT
ap-5709	84	13	η))︸	η))︸	VERB
ap-5709	84	14	︷︷	︷︷	PROPN
ap-5709	84	15	︸	︸	X
ap-5709	84	16	λ(y	λ(y	PROPN
ap-5709	84	17	,	,	PUNCT
ap-5709	84	18	ω	ω	PROPN
ap-5709	84	19	,	,	PUNCT
ap-5709	84	20	η	η	PROPN
ap-5709	84	21	,	,	PUNCT
ap-5709	84	22	ζ	ζ	NOUN
ap-5709	84	23	)	)	PUNCT
ap-5709	84	24	×	×	NOUN
ap-5709	84	25	×	×	NOUN
ap-5709	84	26	(	(	PUNCT
ap-5709	84	27	δij	δij	NOUN
ap-5709	84	28	+	+	CCONJ
ap-5709	84	29	δik	δik	PROPN
ap-5709	84	30	∂vj	∂vj	PROPN
ap-5709	84	31	∂yk	∂yk	PROPN
ap-5709	84	32	)	)	PUNCT
ap-5709	84	33	dy	dy	NOUN
ap-5709	84	34	(	(	PUNCT
ap-5709	84	35	8)	8)	NUM
ap-5709	84	36	and	and	CCONJ
ap-5709	84	37	a∗ij(ω	a∗ij(ω	PROPN
ap-5709	84	38	,	,	PUNCT
ap-5709	84	39	η	η	PROPN
ap-5709	84	40	,	,	PUNCT
ap-5709	84	41	ζ	ζ	NOUN
ap-5709	84	42	)	)	PUNCT
ap-5709	84	43	=	=	SYM
ap-5709	85	1	∫	∫	PROPN
ap-5709	85	2	y	y	PROPN
ap-5709	85	3	%	%	PROPN
ap-5709	85	4	wkr(s(ω	wkr(s(ω	PROPN
ap-5709	85	5	)	)	PUNCT
ap-5709	85	6	)	)	PUNCT
ap-5709	86	1	µ(η	µ(η	NOUN
ap-5709	86	2	)	)	PUNCT
ap-5709	87	1	[	[	X
ap-5709	87	2	χc(y)kc(ζ	χc(y)kc(ζ	X
ap-5709	87	3	)	)	PUNCT
ap-5709	87	4	+	+	CCONJ
ap-5709	87	5	χa(y)ka]︸	χa(y)ka]︸	PROPN
ap-5709	87	6	︷︷	︷︷	PROPN
ap-5709	87	7	︸	︸	ADP
ap-5709	87	8	a(y	a(y	PROPN
ap-5709	87	9	,	,	PUNCT
ap-5709	87	10	ω	ω	PROPN
ap-5709	87	11	,	,	PUNCT
ap-5709	87	12	η	η	PROPN
ap-5709	87	13	,	,	PUNCT
ap-5709	87	14	ζ	ζ	NOUN
ap-5709	87	15	)	)	PUNCT
ap-5709	87	16	×	×	NOUN
ap-5709	87	17	×	×	NOUN
ap-5709	87	18	(	(	PUNCT
ap-5709	87	19	δij	δij	NOUN
ap-5709	87	20	+	+	CCONJ
ap-5709	87	21	δik	δik	PROPN
ap-5709	87	22	∂wj	∂wj	PROPN
ap-5709	87	23	∂yk	∂yk	PROPN
ap-5709	87	24	)	)	PUNCT
ap-5709	87	25	dy	dy	NOUN
ap-5709	87	26	,	,	PUNCT
ap-5709	87	27	(	(	PUNCT
ap-5709	87	28	9	9	NUM
ap-5709	87	29	)	)	PUNCT
ap-5709	87	30	where	where	SCONJ
ap-5709	87	31	wi	wi	PROPN
ap-5709	87	32	and	and	CCONJ
ap-5709	87	33	vi	vi	PROPN
ap-5709	87	34	∈w	∈w	PROPN
ap-5709	87	35	1,2	1,2	NUM
ap-5709	87	36	per(y	per(y	VERB
ap-5709	87	37	)	)	PUNCT
ap-5709	87	38	,	,	PUNCT
ap-5709	87	39	i	i	NOUN
ap-5709	87	40	=	=	NOUN
ap-5709	87	41	1	1	NUM
ap-5709	87	42	,	,	PUNCT
ap-5709	87	43	2	2	NUM
ap-5709	87	44	,	,	PUNCT
ap-5709	87	45	are	be	AUX
ap-5709	87	46	periodic	periodic	ADJ
ap-5709	87	47	solutions	solution	NOUN
ap-5709	87	48	(	(	PUNCT
ap-5709	87	49	in	in	ADP
ap-5709	87	50	a	a	DET
ap-5709	87	51	weak	weak	ADJ
ap-5709	87	52	sense	sense	NOUN
ap-5709	87	53	)	)	PUNCT
ap-5709	87	54	of	of	ADP
ap-5709	87	55	the	the	DET
ap-5709	87	56	following	follow	VERB
ap-5709	87	57	cell	cell	NOUN
ap-5709	87	58	problems	problem	NOUN
ap-5709	87	59	,	,	PUNCT
ap-5709	87	60	respectively	respectively	ADV
ap-5709	87	61	,	,	PUNCT
ap-5709	87	62	−∇y	−∇y	PROPN
ap-5709	87	63	·	·	PUNCT
ap-5709	87	64	(	(	PUNCT
ap-5709	87	65	a(y	a(y	PROPN
ap-5709	87	66	,	,	PUNCT
ap-5709	87	67	ω	ω	PROPN
ap-5709	87	68	,	,	PUNCT
ap-5709	87	69	η	η	PROPN
ap-5709	87	70	,	,	PUNCT
ap-5709	87	71	ζ)(ei	ζ)(ei	NOUN
ap-5709	87	72	+	+	NOUN
ap-5709	87	73	∇ywi	∇ywi	NOUN
ap-5709	87	74	)	)	PUNCT
ap-5709	87	75	)	)	PUNCT
ap-5709	88	1	=	=	SYM
ap-5709	88	2	0	0	NUM
ap-5709	89	1	in	in	ADP
ap-5709	89	2	y	y	PROPN
ap-5709	89	3	(	(	PUNCT
ap-5709	89	4	10	10	NUM
ap-5709	89	5	)	)	PUNCT
ap-5709	89	6	and	and	CCONJ
ap-5709	89	7	−∇y	−∇y	PROPN
ap-5709	89	8	·	·	PUNCT
ap-5709	89	9	(	(	PUNCT
ap-5709	89	10	λ(y	λ(y	PROPN
ap-5709	89	11	,	,	PUNCT
ap-5709	89	12	ω	ω	PROPN
ap-5709	89	13	,	,	PUNCT
ap-5709	89	14	η	η	NOUN
ap-5709	89	15	,	,	PUNCT
ap-5709	89	16	ζ)(ei	ζ)(ei	VERB
ap-5709	89	17	+	+	NOUN
ap-5709	89	18	∇yvi	∇yvi	NOUN
ap-5709	89	19	)	)	PUNCT
ap-5709	89	20	)	)	PUNCT
ap-5709	89	21	=	=	SYM
ap-5709	89	22	0	0	NUM
ap-5709	89	23	in	in	ADP
ap-5709	89	24	y.	y.	PROPN
ap-5709	89	25	(	(	PUNCT
ap-5709	89	26	11	11	NUM
ap-5709	89	27	)	)	PUNCT
ap-5709	89	28	here	here	ADV
ap-5709	89	29	,	,	PUNCT
ap-5709	89	30	a	a	DET
ap-5709	89	31	summation	summation	NOUN
ap-5709	89	32	convention	convention	NOUN
ap-5709	89	33	is	be	AUX
ap-5709	89	34	used	use	VERB
ap-5709	89	35	,	,	PUNCT
ap-5709	89	36	i.e.	i.e.	X
ap-5709	89	37	summation	summation	NOUN
ap-5709	89	38	is	be	AUX
ap-5709	89	39	performed	perform	VERB
ap-5709	89	40	over	over	ADP
ap-5709	89	41	repeated	repeat	VERB
ap-5709	89	42	indices	index	NOUN
ap-5709	89	43	.	.	PUNCT
ap-5709	90	1	further	far	ADV
ap-5709	90	2	,	,	PUNCT
ap-5709	90	3	δij	δij	NOUN
ap-5709	90	4	(	(	PUNCT
ap-5709	90	5	or	or	CCONJ
ap-5709	90	6	δik	δik	PROPN
ap-5709	90	7	)	)	PUNCT
ap-5709	90	8	denotes	denote	VERB
ap-5709	90	9	the	the	DET
ap-5709	90	10	kronecker	kronecker	NOUN
ap-5709	90	11	delta	delta	NOUN
ap-5709	90	12	and	and	CCONJ
ap-5709	90	13	{	{	PUNCT
ap-5709	90	14	e1	e1	PROPN
ap-5709	90	15	,	,	PUNCT
ap-5709	90	16	e2	e2	PROPN
ap-5709	90	17	}	}	PUNCT
ap-5709	90	18	is	be	AUX
ap-5709	90	19	the	the	DET
ap-5709	90	20	canonical	canonical	ADJ
ap-5709	90	21	basis	basis	NOUN
ap-5709	90	22	of	of	ADP
ap-5709	90	23	r2	r2	PROPN
ap-5709	90	24	.	.	PUNCT
ap-5709	91	1	note	note	VERB
ap-5709	91	2	that	that	SCONJ
ap-5709	91	3	the	the	DET
ap-5709	91	4	problems	problem	NOUN
ap-5709	91	5	(	(	PUNCT
ap-5709	91	6	10	10	NUM
ap-5709	91	7	)	)	PUNCT
ap-5709	91	8	and	and	CCONJ
ap-5709	91	9	(	(	PUNCT
ap-5709	91	10	11	11	NUM
ap-5709	91	11	)	)	PUNCT
ap-5709	91	12	,	,	PUNCT
ap-5709	91	13	respectively	respectively	ADV
ap-5709	91	14	,	,	PUNCT
ap-5709	91	15	define	define	VERB
ap-5709	91	16	wi	wi	PROPN
ap-5709	91	17	and	and	CCONJ
ap-5709	91	18	vi	vi	PROPN
ap-5709	91	19	,	,	PUNCT
ap-5709	91	20	i	i	PRON
ap-5709	91	21	=	=	NOUN
ap-5709	91	22	1	1	NUM
ap-5709	91	23	,	,	PUNCT
ap-5709	91	24	2	2	NUM
ap-5709	91	25	,	,	PUNCT
ap-5709	91	26	up	up	ADP
ap-5709	91	27	to	to	ADP
ap-5709	91	28	an	an	DET
ap-5709	91	29	additive	additive	ADJ
ap-5709	91	30	constants	constant	NOUN
ap-5709	91	31	.	.	PUNCT
ap-5709	92	1	usually	usually	ADV
ap-5709	92	2	,	,	PUNCT
ap-5709	92	3	we	we	PRON
ap-5709	92	4	choose	choose	VERB
ap-5709	92	5	wi	wi	PROPN
ap-5709	92	6	and	and	CCONJ
ap-5709	92	7	vi	vi	PROPN
ap-5709	92	8	such	such	ADJ
ap-5709	92	9	that∫	that∫	NOUN
ap-5709	92	10	y	y	PROPN
ap-5709	92	11	wi	wi	PROPN
ap-5709	92	12	dy	dy	X
ap-5709	92	13	=	=	SYM
ap-5709	92	14	0	0	NUM
ap-5709	93	1	and	and	CCONJ
ap-5709	93	2	∫	∫	PROPN
ap-5709	93	3	y	y	PROPN
ap-5709	93	4	vi	vi	PROPN
ap-5709	93	5	dy	dy	X
ap-5709	93	6	=	=	NOUN
ap-5709	93	7	0	0	PROPN
ap-5709	93	8	.	.	PUNCT
ap-5709	94	1	(	(	PUNCT
ap-5709	94	2	12	12	NUM
ap-5709	94	3	)	)	PUNCT
ap-5709	94	4	it	it	PRON
ap-5709	94	5	is	be	AUX
ap-5709	94	6	easily	easily	ADV
ap-5709	94	7	seen	see	VERB
ap-5709	94	8	that	that	SCONJ
ap-5709	94	9	the	the	DET
ap-5709	94	10	homogenized	homogenized	ADJ
ap-5709	94	11	coefficients	coefficient	NOUN
ap-5709	94	12	(	(	PUNCT
ap-5709	94	13	8)	8)	NUM
ap-5709	94	14	and	and	CCONJ
ap-5709	94	15	(	(	PUNCT
ap-5709	94	16	9	9	X
ap-5709	94	17	)	)	PUNCT
ap-5709	94	18	do	do	AUX
ap-5709	94	19	not	not	PART
ap-5709	94	20	depend	depend	VERB
ap-5709	94	21	on	on	ADP
ap-5709	94	22	the	the	DET
ap-5709	94	23	choice	choice	NOUN
ap-5709	94	24	of	of	ADP
ap-5709	94	25	the	the	DET
ap-5709	94	26	additive	additive	ADJ
ap-5709	94	27	constant	constant	ADJ
ap-5709	94	28	.	.	PUNCT
ap-5709	95	1	4	4	X
ap-5709	95	2	.	.	X
ap-5709	95	3	numerical	numerical	ADJ
ap-5709	95	4	solution	solution	NOUN
ap-5709	95	5	4.1	4.1	NUM
ap-5709	95	6	.	.	PUNCT
ap-5709	95	7	macroscopic	macroscopic	ADJ
ap-5709	95	8	fe	fe	PROPN
ap-5709	95	9	formulation	formulation	NOUN
ap-5709	95	10	let	let	VERB
ap-5709	95	11	0	0	NUM
ap-5709	96	1	=	=	SYM
ap-5709	96	2	t0	t0	PROPN
ap-5709	96	3	<	<	X
ap-5709	96	4	t1	t1	X
ap-5709	96	5	<	<	X
ap-5709	96	6	·	·	PUNCT
ap-5709	96	7	·	·	PUNCT
ap-5709	96	8	·	·	PUNCT
ap-5709	97	1	<	<	X
ap-5709	97	2	tn	tn	PROPN
ap-5709	97	3	=	=	SYM
ap-5709	97	4	t	t	PROPN
ap-5709	97	5	be	be	AUX
ap-5709	97	6	an	an	DET
ap-5709	97	7	equidistant	equidistant	ADJ
ap-5709	97	8	partitioning	partitioning	NOUN
ap-5709	97	9	of	of	ADP
ap-5709	97	10	time	time	NOUN
ap-5709	97	11	interval	interval	NOUN
ap-5709	97	12	[	[	X
ap-5709	97	13	0	0	NUM
ap-5709	97	14	,	,	PUNCT
ap-5709	97	15	t	t	X
ap-5709	97	16	]	]	PUNCT
ap-5709	97	17	with	with	ADP
ap-5709	97	18	the	the	DET
ap-5709	97	19	discrete	discrete	ADJ
ap-5709	97	20	time	time	NOUN
ap-5709	97	21	step	step	NOUN
ap-5709	97	22	∆t	∆t	PROPN
ap-5709	97	23	,	,	PUNCT
ap-5709	97	24	{	{	PUNCT
ap-5709	97	25	tn}nn=0	tn}nn=0	ADJ
ap-5709	97	26	,	,	PUNCT
ap-5709	97	27	∆t	∆t	PROPN
ap-5709	97	28	=	=	SYM
ap-5709	97	29	t	t	PROPN
ap-5709	97	30	/	/	SYM
ap-5709	97	31	n	n	PROPN
ap-5709	97	32	.	.	PUNCT
ap-5709	98	1	for	for	ADP
ap-5709	98	2	any	any	DET
ap-5709	98	3	function	function	NOUN
ap-5709	98	4	ζ	ζ	NOUN
ap-5709	98	5	,	,	PUNCT
ap-5709	98	6	we	we	PRON
ap-5709	98	7	will	will	AUX
ap-5709	98	8	use	use	VERB
ap-5709	98	9	the	the	DET
ap-5709	98	10	approximation	approximation	NOUN
ap-5709	98	11	ζn	ζn	ADP
ap-5709	98	12	≈	≈	PROPN
ap-5709	98	13	ζ(tn	ζ(tn	PROPN
ap-5709	98	14	)	)	PUNCT
ap-5709	98	15	and	and	CCONJ
ap-5709	98	16	denote	denote	VERB
ap-5709	98	17	the	the	DET
ap-5709	98	18	backward	backward	ADJ
ap-5709	98	19	time	time	NOUN
ap-5709	98	20	difference	difference	NOUN
ap-5709	98	21	as	as	ADP
ap-5709	98	22	δ∆t	δ∆t	PROPN
ap-5709	98	23	[	[	X
ap-5709	98	24	ζn+1	ζn+1	X
ap-5709	98	25	]	]	X
ap-5709	98	26	,	,	PUNCT
ap-5709	98	27	where	where	SCONJ
ap-5709	98	28	δ∆t	δ∆t	PROPN
ap-5709	98	29	[	[	X
ap-5709	98	30	ζn+1	ζn+1	X
ap-5709	98	31	]	]	X
ap-5709	98	32	:	:	PUNCT
ap-5709	98	33	=	=	PUNCT
ap-5709	98	34	ζn+1−ζn	ζn+1−ζn	PROPN
ap-5709	98	35	∆t	∆t	PROPN
ap-5709	98	36	≈	≈	PROPN
ap-5709	98	37	dζ(tn+1	dζ(tn+1	NOUN
ap-5709	98	38	)	)	PUNCT
ap-5709	98	39	dt	dt	NOUN
ap-5709	98	40	.	.	PUNCT
ap-5709	99	1	by	by	ADP
ap-5709	99	2	th	th	ADP
ap-5709	99	3	,	,	PUNCT
ap-5709	99	4	we	we	PRON
ap-5709	99	5	denote	denote	VERB
ap-5709	99	6	an	an	DET
ap-5709	99	7	admissible	admissible	ADJ
ap-5709	99	8	quadrilateral	quadrilateral	ADJ
ap-5709	99	9	partition	partition	NOUN
ap-5709	99	10	of	of	ADP
ap-5709	99	11	ω	ω	NUM
ap-5709	99	12	with	with	ADP
ap-5709	99	13	a	a	DET
ap-5709	99	14	mesh	mesh	NOUN
ap-5709	99	15	size	size	NOUN
ap-5709	99	16	h	h	NOUN
ap-5709	99	17	with	with	ADP
ap-5709	99	18	standard	standard	ADJ
ap-5709	99	19	properties	property	NOUN
ap-5709	99	20	from	from	ADP
ap-5709	99	21	the	the	DET
ap-5709	99	22	finite	finite	PROPN
ap-5709	99	23	element	element	NOUN
ap-5709	99	24	theory	theory	NOUN
ap-5709	99	25	(	(	PUNCT
ap-5709	99	26	see	see	VERB
ap-5709	99	27	e.g.	e.g.	ADV
ap-5709	99	28	[	[	X
ap-5709	99	29	30	30	NUM
ap-5709	99	30	]	]	PUNCT
ap-5709	99	31	)	)	PUNCT
ap-5709	99	32	.	.	PUNCT
ap-5709	100	1	let	let	VERB
ap-5709	100	2	wh	wh	NOUN
ap-5709	100	3	be	be	AUX
ap-5709	100	4	the	the	DET
ap-5709	100	5	standard	standard	ADJ
ap-5709	100	6	conforming	conforming	ADJ
ap-5709	100	7	linear	linear	PROPN
ap-5709	100	8	finite	finite	PROPN
ap-5709	100	9	element	element	NOUN
ap-5709	100	10	space	space	NOUN
ap-5709	100	11	over	over	ADP
ap-5709	100	12	th	th	NOUN
ap-5709	100	13	.	.	PUNCT
ap-5709	101	1	let	let	VERB
ap-5709	101	2	ph0	ph0	NOUN
ap-5709	101	3	=	=	SYM
ap-5709	101	4	p0	p0	NOUN
ap-5709	101	5	,	,	PUNCT
ap-5709	101	6	ϑh0	ϑh0	ADJ
ap-5709	101	7	=	=	SYM
ap-5709	101	8	ϑ0	ϑ0	NOUN
ap-5709	101	9	,	,	PUNCT
ap-5709	101	10	and	and	CCONJ
ap-5709	101	11	ξh0	ξh0	PROPN
ap-5709	101	12	=	=	NOUN
ap-5709	101	13	0	0	NUM
ap-5709	101	14	in	in	ADP
ap-5709	101	15	ω	ω	PROPN
ap-5709	101	16	.	.	PUNCT
ap-5709	102	1	for	for	ADP
ap-5709	102	2	n	n	NOUN
ap-5709	102	3	=	=	SYM
ap-5709	102	4	0	0	NUM
ap-5709	102	5	,	,	PUNCT
ap-5709	102	6	.	.	PUNCT
ap-5709	102	7	.	.	PUNCT
ap-5709	102	8	.	.	PUNCT
ap-5709	103	1	,	,	PUNCT
ap-5709	103	2	n	n	CCONJ
ap-5709	103	3	−	−	PROPN
ap-5709	103	4	1	1	NUM
ap-5709	103	5	,	,	PUNCT
ap-5709	103	6	we	we	PRON
ap-5709	103	7	seek	seek	VERB
ap-5709	103	8	[	[	X
ap-5709	103	9	phn+1	phn+1	PROPN
ap-5709	103	10	,	,	PUNCT
ap-5709	103	11	ϑ	ϑ	X
ap-5709	103	12	h	h	NOUN
ap-5709	103	13	n+1	n+1	PROPN
ap-5709	103	14	,	,	PUNCT
ap-5709	103	15	ξ	ξ	PROPN
ap-5709	103	16	h	h	NOUN
ap-5709	103	17	n+1	n+1	NOUN
ap-5709	103	18	]	]	X
ap-5709	103	19	∈	∈	PROPN
ap-5709	103	20	wh	wh	NOUN
ap-5709	103	21	×wh	×wh	VERB
ap-5709	103	22	×	×	PROPN
ap-5709	103	23	c(ω	c(ω	PROPN
ap-5709	103	24	)	)	PUNCT
ap-5709	103	25	the	the	DET
ap-5709	103	26	approximate	approximate	ADJ
ap-5709	103	27	solution	solution	NOUN
ap-5709	103	28	of	of	ADP
ap-5709	103	29	[	[	X
ap-5709	103	30	p	p	X
ap-5709	103	31	,	,	PUNCT
ap-5709	103	32	ϑ	ϑ	X
ap-5709	103	33	,	,	PUNCT
ap-5709	103	34	ξ	ξ	X
ap-5709	103	35	]	]	X
ap-5709	103	36	at	at	ADP
ap-5709	103	37	time	time	NOUN
ap-5709	103	38	tn	tn	PROPN
ap-5709	103	39	,	,	PUNCT
ap-5709	103	40	such	such	ADJ
ap-5709	103	41	that	that	DET
ap-5709	103	42	%	%	NOUN
ap-5709	103	43	wχ	wχ	ADP
ap-5709	103	44	∗	∗	PROPN
ap-5709	103	45	c	c	PROPN
ap-5709	103	46	∫	∫	PROPN
ap-5709	103	47	ω	ω	PROPN
ap-5709	103	48	δ∆t	δ∆t	PROPN
ap-5709	103	49	[	[	PUNCT
ap-5709	103	50	φc(ξhn+1)s(phn+1	φc(ξhn+1)s(phn+1	PROPN
ap-5709	103	51	)	)	PUNCT
ap-5709	103	52	]	]	PUNCT
ap-5709	104	1	ϕh	ϕh	NOUN
ap-5709	104	2	dx	dx	PROPN
ap-5709	105	1	+	+	CCONJ
ap-5709	105	2	%	%	INTJ
ap-5709	105	3	wχ	wχ	ADP
ap-5709	105	4	∗	∗	X
ap-5709	105	5	aφa	aφa	PROPN
ap-5709	105	6	∫	∫	PROPN
ap-5709	105	7	ω	ω	PROPN
ap-5709	105	8	δ∆t	δ∆t	PROPN
ap-5709	105	9	[	[	PUNCT
ap-5709	105	10	s(phn+1	s(phn+1	PROPN
ap-5709	105	11	)	)	PUNCT
ap-5709	105	12	]	]	PUNCT
ap-5709	106	1	ϕh	ϕh	NOUN
ap-5709	106	2	dx	dx	PROPN
ap-5709	107	1	+	+	CCONJ
ap-5709	107	2	∫	∫	PROPN
ap-5709	107	3	ω	ω	PROPN
ap-5709	107	4	a∗(phn	a∗(phn	ADJ
ap-5709	107	5	,	,	PUNCT
ap-5709	107	6	ϑhn	ϑhn	PROPN
ap-5709	107	7	,	,	PUNCT
ap-5709	108	1	ξhn)∇phn+1	ξhn)∇phn+1	PROPN
ap-5709	108	2	·	·	PUNCT
ap-5709	108	3	∇ϕh	∇ϕh	NOUN
ap-5709	108	4	dx	dx	PROPN
ap-5709	108	5	+	+	CCONJ
ap-5709	108	6	∫	∫	PROPN
ap-5709	108	7	∂ω	∂ω	ADJ
ap-5709	108	8	βc(x)phn+1ϕ	βc(x)phn+1ϕ	NOUN
ap-5709	108	9	h	h	NOUN
ap-5709	108	10	ds	ds	NOUN
ap-5709	108	11	=	=	SYM
ap-5709	108	12	α1χ	α1χ	PROPN
ap-5709	108	13	∗	∗	NOUN
ap-5709	108	14	c	c	NOUN
ap-5709	108	15	∫	∫	PROPN
ap-5709	108	16	ω	ω	NUM
ap-5709	108	17	f(phn	f(phn	PROPN
ap-5709	108	18	,	,	PUNCT
ap-5709	108	19	ϑhn	ϑhn	PROPN
ap-5709	108	20	,	,	PUNCT
ap-5709	108	21	ξhn)ϕh	ξhn)ϕh	PROPN
ap-5709	108	22	dx	dx	PROPN
ap-5709	109	1	+	+	CCONJ
ap-5709	109	2	∫	∫	PROPN
ap-5709	109	3	∂ω	∂ω	PROPN
ap-5709	109	4	βc(x)(p∞)n+1ϕ	βc(x)(p∞)n+1ϕ	PROPN
ap-5709	109	5	hds	hds	PROPN
ap-5709	109	6	(	(	PUNCT
ap-5709	109	7	13	13	NUM
ap-5709	109	8	)	)	PUNCT
ap-5709	109	9	holds	hold	VERB
ap-5709	109	10	for	for	ADP
ap-5709	109	11	all	all	DET
ap-5709	109	12	ϕh	ϕh	NOUN
ap-5709	109	13	∈wh	∈wh	NOUN
ap-5709	109	14	,	,	PUNCT
ap-5709	109	15	further	far	ADV
ap-5709	109	16	cw%wχ	cw%wχ	ADP
ap-5709	109	17	∗	∗	PROPN
ap-5709	109	18	c	c	PROPN
ap-5709	109	19	∫	∫	PROPN
ap-5709	109	20	ω	ω	PROPN
ap-5709	109	21	δ∆t	δ∆t	PROPN
ap-5709	109	22	[	[	PUNCT
ap-5709	109	23	φc(ξhn+1)s(phn+1)ϑhn+1	φc(ξhn+1)s(phn+1)ϑhn+1	NOUN
ap-5709	109	24	]	]	PUNCT
ap-5709	109	25	ψh	ψh	NOUN
ap-5709	109	26	dx	dx	PROPN
ap-5709	109	27	+	+	CCONJ
ap-5709	109	28	cw%wχ	cw%wχ	ADP
ap-5709	109	29	∗	∗	X
ap-5709	109	30	aφa	aφa	PROPN
ap-5709	109	31	∫	∫	PROPN
ap-5709	109	32	ω	ω	PROPN
ap-5709	109	33	δ∆t	δ∆t	PROPN
ap-5709	109	34	[	[	PUNCT
ap-5709	109	35	s(phn+1)ϑhn+1	s(phn+1)ϑhn+1	X
ap-5709	109	36	]	]	PUNCT
ap-5709	109	37	ψh	ψh	NOUN
ap-5709	109	38	dx	dx	PROPN
ap-5709	109	39	+	+	CCONJ
ap-5709	109	40	∫	∫	PROPN
ap-5709	109	41	ω	ω	PROPN
ap-5709	109	42	δ∆t	δ∆t	PROPN
ap-5709	109	43	[	[	PUNCT
ap-5709	109	44	χ∗c%sccsc(1−	χ∗c%sccsc(1−	ADJ
ap-5709	109	45	φc(ξhn+1))ϑhn+1	φc(ξhn+1))ϑhn+1	NOUN
ap-5709	109	46	]	]	PUNCT
ap-5709	109	47	ψh	ψh	ADP
ap-5709	109	48	dx	dx	PROPN
ap-5709	109	49	+	+	CCONJ
ap-5709	109	50	∫	∫	PROPN
ap-5709	109	51	ω	ω	PROPN
ap-5709	109	52	δ∆t	δ∆t	PROPN
ap-5709	109	53	[	[	PUNCT
ap-5709	109	54	χ∗a%sacsa(1−	χ∗a%sacsa(1−	PROPN
ap-5709	109	55	φa)ϑhn+1	φa)ϑhn+1	NOUN
ap-5709	109	56	]	]	PUNCT
ap-5709	109	57	ψh	ψh	ADP
ap-5709	109	58	dx	dx	PROPN
ap-5709	109	59	+	+	CCONJ
ap-5709	109	60	∫	∫	PROPN
ap-5709	109	61	ω	ω	NUM
ap-5709	109	62	λ∗(phn	λ∗(phn	PROPN
ap-5709	109	63	,	,	PUNCT
ap-5709	109	64	ϑhn	ϑhn	PROPN
ap-5709	109	65	,	,	PUNCT
ap-5709	109	66	ξhn)∇ϑhn+1	ξhn)∇ϑhn+1	PROPN
ap-5709	109	67	·	·	PUNCT
ap-5709	110	1	∇ψh	∇ψh	ADP
ap-5709	110	2	dx	dx	PROPN
ap-5709	110	3	+	+	CCONJ
ap-5709	110	4	∫	∫	PROPN
ap-5709	110	5	ω	ω	PROPN
ap-5709	110	6	cwϑ	cwϑ	PROPN
ap-5709	110	7	h	h	PROPN
ap-5709	110	8	na	na	PROPN
ap-5709	110	9	∗(phn	∗(phn	PROPN
ap-5709	110	10	,	,	PUNCT
ap-5709	110	11	ϑhn	ϑhn	PROPN
ap-5709	110	12	,	,	PUNCT
ap-5709	110	13	ξhn)∇ϑhn+1	ξhn)∇ϑhn+1	PROPN
ap-5709	110	14	·	·	PUNCT
ap-5709	111	1	∇ψh	∇ψh	ADP
ap-5709	111	2	dx	dx	PROPN
ap-5709	111	3	+	+	CCONJ
ap-5709	111	4	∫	∫	PROPN
ap-5709	111	5	∂ω	∂ω	ADJ
ap-5709	111	6	αc(x)ϑhn+1ψ	αc(x)ϑhn+1ψ	NOUN
ap-5709	111	7	h	h	NOUN
ap-5709	111	8	ds	ds	PROPN
ap-5709	112	1	+	+	CCONJ
ap-5709	112	2	cw	cw	NOUN
ap-5709	112	3	∫	∫	PROPN
ap-5709	113	1	∂ω	∂ω	ADJ
ap-5709	113	2	βc(x)ϑhnphn+1ψ	βc(x)ϑhnphn+1ψ	PROPN
ap-5709	113	3	h	h	NOUN
ap-5709	113	4	ds	ds	NOUN
ap-5709	113	5	=	=	SYM
ap-5709	113	6	α2χ	α2χ	PROPN
ap-5709	113	7	∗	∗	NOUN
ap-5709	113	8	c	c	NOUN
ap-5709	113	9	∫	∫	PROPN
ap-5709	113	10	ω	ω	NUM
ap-5709	113	11	f(phn	f(phn	PROPN
ap-5709	113	12	,	,	PUNCT
ap-5709	113	13	ϑhn	ϑhn	PROPN
ap-5709	113	14	,	,	PUNCT
ap-5709	113	15	ξhn)ψh	ξhn)ψh	ADJ
ap-5709	113	16	dx	dx	PROPN
ap-5709	113	17	+	+	CCONJ
ap-5709	113	18	∫	∫	PROPN
ap-5709	113	19	∂ω	∂ω	ADJ
ap-5709	113	20	αc(x)(ϑ∞)n+1ψ	αc(x)(ϑ∞)n+1ψ	NOUN
ap-5709	113	21	h	h	NOUN
ap-5709	113	22	ds	ds	PROPN
ap-5709	114	1	+	+	CCONJ
ap-5709	114	2	cw	cw	NOUN
ap-5709	114	3	∫	∫	PROPN
ap-5709	115	1	∂ω	∂ω	PROPN
ap-5709	115	2	βc(x)ϑhn(p∞)n+1ψ	βc(x)ϑhn(p∞)n+1ψ	PUNCT
ap-5709	115	3	hds	hds	PROPN
ap-5709	115	4	(	(	PUNCT
ap-5709	115	5	14	14	NUM
ap-5709	115	6	)	)	PUNCT
ap-5709	115	7	holds	hold	VERB
ap-5709	115	8	for	for	ADP
ap-5709	115	9	all	all	PRON
ap-5709	115	10	ψh	ψh	ADP
ap-5709	115	11	∈wh	∈wh	NOUN
ap-5709	115	12	and	and	CCONJ
ap-5709	115	13	ξhn+1	ξhn+1	ADJ
ap-5709	115	14	=	=	SYM
ap-5709	115	15	ξhn	ξhn	ADJ
ap-5709	115	16	+	+	NOUN
ap-5709	115	17	∆tf(phn	∆tf(phn	ADJ
ap-5709	115	18	,	,	PUNCT
ap-5709	115	19	ϑhn	ϑhn	PROPN
ap-5709	115	20	,	,	PUNCT
ap-5709	115	21	ξhn	ξhn	NOUN
ap-5709	115	22	)	)	PUNCT
ap-5709	115	23	.	.	PUNCT
ap-5709	116	1	(	(	PUNCT
ap-5709	116	2	15	15	X
ap-5709	116	3	)	)	PUNCT
ap-5709	116	4	the	the	DET
ap-5709	116	5	unknown	unknown	ADJ
ap-5709	116	6	vector	vector	NOUN
ap-5709	116	7	field	field	NOUN
ap-5709	116	8	xn+1	xn+1	PROPN
ap-5709	116	9	=(	=(	PROPN
ap-5709	116	10	pn+1,ϑn+1	pn+1,ϑn+1	PROPN
ap-5709	116	11	,	,	PUNCT
ap-5709	116	12	ξn+1)t	ξn+1)t	PROPN
ap-5709	116	13	is	be	AUX
ap-5709	116	14	introduced	introduce	VERB
ap-5709	116	15	,	,	PUNCT
ap-5709	116	16	and	and	CCONJ
ap-5709	116	17	the	the	DET
ap-5709	116	18	galerkin	galerkin	ADJ
ap-5709	116	19	procedure	procedure	NOUN
ap-5709	116	20	is	be	AUX
ap-5709	116	21	applied	apply	VERB
ap-5709	116	22	.	.	PUNCT
ap-5709	117	1	this	this	PRON
ap-5709	117	2	leads	lead	VERB
ap-5709	117	3	to	to	ADP
ap-5709	117	4	a	a	DET
ap-5709	117	5	system	system	NOUN
ap-5709	117	6	of	of	ADP
ap-5709	117	7	non	non	ADJ
ap-5709	117	8	-	-	ADJ
ap-5709	117	9	linear	linear	ADJ
ap-5709	117	10	algebraic	algebraic	ADJ
ap-5709	117	11	equations	equation	NOUN
ap-5709	117	12	b(xn+1)−	b(xn+1)−	PROPN
ap-5709	117	13	b(xn	b(xn	PROPN
ap-5709	117	14	)	)	PUNCT
ap-5709	117	15	+	+	CCONJ
ap-5709	117	16	∆tknxn+1	∆tknxn+1	PROPN
ap-5709	117	17	+	+	CCONJ
ap-5709	117	18	∆tfn+1(xn+1	∆tfn+1(xn+1	PROPN
ap-5709	117	19	)	)	PUNCT
ap-5709	117	20	=	=	SYM
ap-5709	117	21	0	0	NUM
ap-5709	117	22	,	,	PUNCT
ap-5709	117	23	(	(	PUNCT
ap-5709	117	24	16	16	NUM
ap-5709	117	25	)	)	PUNCT
ap-5709	117	26	where	where	SCONJ
ap-5709	117	27	pn+1	pn+1	NOUN
ap-5709	117	28	,	,	PUNCT
ap-5709	117	29	ϑn+1	ϑn+1	ADJ
ap-5709	117	30	,	,	PUNCT
ap-5709	117	31	and	and	CCONJ
ap-5709	117	32	ξn+1	ξn+1	NUM
ap-5709	117	33	store	store	VERB
ap-5709	117	34	the	the	DET
ap-5709	117	35	unknown	unknown	ADJ
ap-5709	117	36	nodal	nodal	NOUN
ap-5709	117	37	values	value	NOUN
ap-5709	117	38	of	of	ADP
ap-5709	117	39	water	water	NOUN
ap-5709	117	40	pressure	pressure	NOUN
ap-5709	117	41	,	,	PUNCT
ap-5709	117	42	temperature	temperature	NOUN
ap-5709	117	43	,	,	PUNCT
ap-5709	117	44	and	and	CCONJ
ap-5709	117	45	hydration	hydration	NOUN
ap-5709	117	46	degree	degree	NOUN
ap-5709	117	47	at	at	ADP
ap-5709	117	48	a	a	DET
ap-5709	117	49	time	time	NOUN
ap-5709	117	50	tn+1	tn+1	NOUN
ap-5709	117	51	,	,	PUNCT
ap-5709	117	52	respectively	respectively	ADV
ap-5709	117	53	.	.	PUNCT
ap-5709	118	1	the	the	DET
ap-5709	118	2	non	non	ADJ
ap-5709	118	3	-	-	ADJ
ap-5709	118	4	linear	linear	ADJ
ap-5709	118	5	system	system	NOUN
ap-5709	118	6	(	(	PUNCT
ap-5709	118	7	16	16	NUM
ap-5709	118	8	)	)	PUNCT
ap-5709	118	9	is	be	AUX
ap-5709	118	10	solved	solve	VERB
ap-5709	118	11	iteratively	iteratively	ADV
ap-5709	118	12	using	use	VERB
ap-5709	118	13	the	the	DET
ap-5709	118	14	newton	newton	PROPN
ap-5709	118	15	’s	’s	PART
ap-5709	118	16	method	method	NOUN
ap-5709	118	17	.	.	PUNCT
ap-5709	119	1	14	14	NUM
ap-5709	119	2	vol	vol	NOUN
ap-5709	119	3	.	.	PUNCT
ap-5709	120	1	60	60	NUM
ap-5709	120	2	no	no	INTJ
ap-5709	120	3	.	.	PUNCT
ap-5709	121	1	1/2020	1/2020	NUM
ap-5709	121	2	homogenization	homogenization	NOUN
ap-5709	121	3	of	of	ADP
ap-5709	121	4	transport	transport	NOUN
ap-5709	121	5	processes	process	NOUN
ap-5709	121	6	and	and	CCONJ
ap-5709	121	7	hydration	hydration	NOUN
ap-5709	121	8	phenomena	phenomenon	NOUN
ap-5709	121	9	.	.	PUNCT
ap-5709	121	10	.	.	PUNCT
ap-5709	121	11	.	.	PUNCT
ap-5709	122	1	4.2	4.2	NUM
ap-5709	122	2	.	.	PUNCT
ap-5709	122	3	periodic	periodic	ADJ
ap-5709	122	4	cell	cell	NOUN
ap-5709	122	5	problem	problem	NOUN
ap-5709	122	6	the	the	DET
ap-5709	122	7	problems	problem	NOUN
ap-5709	122	8	(	(	PUNCT
ap-5709	122	9	10	10	NUM
ap-5709	122	10	)	)	PUNCT
ap-5709	122	11	and	and	CCONJ
ap-5709	122	12	(	(	PUNCT
ap-5709	122	13	11	11	NUM
ap-5709	122	14	)	)	PUNCT
ap-5709	122	15	need	need	VERB
ap-5709	122	16	to	to	PART
ap-5709	122	17	be	be	AUX
ap-5709	122	18	solved	solve	VERB
ap-5709	122	19	in	in	ADP
ap-5709	122	20	each	each	DET
ap-5709	122	21	discrete	discrete	ADJ
ap-5709	122	22	time	time	NOUN
ap-5709	122	23	step	step	NOUN
ap-5709	122	24	.	.	PUNCT
ap-5709	123	1	for	for	ADP
ap-5709	123	2	fixed	fix	VERB
ap-5709	123	3	ω	ω	PROPN
ap-5709	123	4	,	,	PUNCT
ap-5709	123	5	η	η	PROPN
ap-5709	123	6	,	,	PUNCT
ap-5709	123	7	and	and	CCONJ
ap-5709	123	8	ζ	ζ	NOUN
ap-5709	123	9	∈	∈	NOUN
ap-5709	123	10	r	r	NOUN
ap-5709	123	11	,	,	PUNCT
ap-5709	123	12	both	both	DET
ap-5709	123	13	problems	problem	NOUN
ap-5709	123	14	,	,	PUNCT
ap-5709	123	15	(	(	PUNCT
ap-5709	123	16	10	10	NUM
ap-5709	123	17	)	)	PUNCT
ap-5709	123	18	and	and	CCONJ
ap-5709	123	19	(	(	PUNCT
ap-5709	123	20	11	11	NUM
ap-5709	123	21	)	)	PUNCT
ap-5709	123	22	,	,	PUNCT
ap-5709	123	23	can	can	AUX
ap-5709	123	24	be	be	AUX
ap-5709	123	25	written	write	VERB
ap-5709	123	26	in	in	ADP
ap-5709	123	27	a	a	DET
ap-5709	123	28	general	general	ADJ
ap-5709	123	29	form	form	NOUN
ap-5709	123	30	as	as	ADP
ap-5709	123	31	a	a	DET
ap-5709	123	32	periodic	periodic	ADJ
ap-5709	123	33	cell	cell	NOUN
ap-5709	123	34	problem	problem	NOUN
ap-5709	123	35	(	(	PUNCT
ap-5709	123	36	i	i	NOUN
ap-5709	123	37	=	=	NOUN
ap-5709	123	38	1	1	NUM
ap-5709	123	39	,	,	PUNCT
ap-5709	123	40	2	2	NUM
ap-5709	123	41	)	)	PUNCT
ap-5709	123	42	−∇y	−∇y	NOUN
ap-5709	123	43	·	·	PUNCT
ap-5709	123	44	(	(	PUNCT
ap-5709	123	45	a(y)(ei	a(y)(ei	PROPN
ap-5709	123	46	+	+	ADJ
ap-5709	123	47	∇yui	∇yui	ADJ
ap-5709	123	48	)	)	PUNCT
ap-5709	123	49	)	)	PUNCT
ap-5709	124	1	=	=	SYM
ap-5709	124	2	0	0	NUM
ap-5709	125	1	in	in	ADP
ap-5709	125	2	y	y	PROPN
ap-5709	125	3	,	,	PUNCT
ap-5709	125	4	(	(	PUNCT
ap-5709	125	5	17	17	NUM
ap-5709	125	6	)	)	PUNCT
ap-5709	125	7	where	where	SCONJ
ap-5709	125	8	a	a	PRON
ap-5709	125	9	is	be	AUX
ap-5709	125	10	a	a	DET
ap-5709	125	11	given	give	VERB
ap-5709	125	12	step	step	NOUN
ap-5709	125	13	function	function	NOUN
ap-5709	125	14	,	,	PUNCT
ap-5709	125	15	a(y	a(y	PROPN
ap-5709	125	16	)	)	PUNCT
ap-5709	125	17	:	:	PUNCT
ap-5709	126	1	=	=	PUNCT
ap-5709	126	2	{	{	PUNCT
ap-5709	126	3	ac	ac	PROPN
ap-5709	126	4	∈	∈	PROPN
ap-5709	126	5	r+	r+	NOUN
ap-5709	126	6	for	for	ADP
ap-5709	126	7	y	y	PROPN
ap-5709	126	8	∈	∈	PROPN
ap-5709	126	9	yc	yc	PROPN
ap-5709	126	10	,	,	PUNCT
ap-5709	126	11	aa	aa	PROPN
ap-5709	126	12	∈	∈	PROPN
ap-5709	126	13	r+	r+	NOUN
ap-5709	126	14	for	for	ADP
ap-5709	126	15	y	y	PROPN
ap-5709	126	16	∈	∈	PROPN
ap-5709	126	17	ya	ya	PROPN
ap-5709	126	18	,	,	PUNCT
ap-5709	126	19	(	(	PUNCT
ap-5709	126	20	18	18	NUM
ap-5709	126	21	)	)	PUNCT
ap-5709	126	22	and	and	CCONJ
ap-5709	126	23	ui	ui	PROPN
ap-5709	126	24	is	be	AUX
ap-5709	126	25	the	the	DET
ap-5709	126	26	unknown	unknown	ADJ
ap-5709	126	27	function	function	NOUN
ap-5709	126	28	satisfying	satisfy	VERB
ap-5709	126	29	the	the	DET
ap-5709	126	30	periodic	periodic	ADJ
ap-5709	126	31	boundary	boundary	ADJ
ap-5709	126	32	conditions	condition	NOUN
ap-5709	126	33	on	on	ADP
ap-5709	126	34	∂y	∂y	PROPN
ap-5709	126	35	.	.	PUNCT
ap-5709	126	36	4.2.1	4.2.1	NOUN
ap-5709	126	37	.	.	PUNCT
ap-5709	127	1	the	the	DET
ap-5709	127	2	classical	classical	ADJ
ap-5709	127	3	fe	fe	NOUN
ap-5709	127	4	method	method	NOUN
ap-5709	127	5	the	the	DET
ap-5709	127	6	variational	variational	ADJ
ap-5709	127	7	formulation	formulation	NOUN
ap-5709	127	8	of	of	ADP
ap-5709	127	9	(	(	PUNCT
ap-5709	127	10	17	17	NUM
ap-5709	127	11	)	)	PUNCT
ap-5709	127	12	reads	read	NOUN
ap-5709	127	13	as	as	SCONJ
ap-5709	127	14	follows	follow	VERB
ap-5709	127	15	:	:	PUNCT
ap-5709	127	16	we	we	PRON
ap-5709	127	17	seek	seek	VERB
ap-5709	127	18	ui	ui	PROPN
ap-5709	127	19	∈w	∈w	PROPN
ap-5709	127	20	1,2	1,2	NUM
ap-5709	127	21	per(y	per(y	VERB
ap-5709	127	22	)	)	PUNCT
ap-5709	127	23	such	such	ADJ
ap-5709	127	24	that	that	SCONJ
ap-5709	127	25	(	(	PUNCT
ap-5709	127	26	i	i	NOUN
ap-5709	127	27	=	=	NOUN
ap-5709	127	28	1	1	NUM
ap-5709	127	29	,	,	PUNCT
ap-5709	127	30	2)∫	2)∫	PROPN
ap-5709	127	31	y	y	PROPN
ap-5709	127	32	a(y)∇ui	a(y)∇ui	NOUN
ap-5709	127	33	·	·	PUNCT
ap-5709	128	1	∇ϕ	∇ϕ	PROPN
ap-5709	128	2	dy	dy	NOUN
ap-5709	128	3	=	=	PUNCT
ap-5709	128	4	−	−	PROPN
ap-5709	128	5	∫	∫	PROPN
ap-5709	128	6	y	y	PROPN
ap-5709	128	7	a(y)ei	a(y)ei	PROPN
ap-5709	128	8	·	·	PUNCT
ap-5709	128	9	∇ϕ	∇ϕ	PROPN
ap-5709	128	10	dy	dy	X
ap-5709	128	11	(	(	PUNCT
ap-5709	128	12	19	19	NUM
ap-5709	128	13	)	)	PUNCT
ap-5709	128	14	for	for	ADP
ap-5709	128	15	all	all	DET
ap-5709	128	16	ϕ	ϕ	PROPN
ap-5709	128	17	∈	∈	PROPN
ap-5709	128	18	w	w	PROPN
ap-5709	128	19	1,2	1,2	NUM
ap-5709	128	20	per(y	per(y	VERB
ap-5709	128	21	)	)	PUNCT
ap-5709	128	22	.	.	PUNCT
ap-5709	129	1	a	a	DET
ap-5709	129	2	finite	finite	PROPN
ap-5709	129	3	element	element	NOUN
ap-5709	129	4	approximation	approximation	NOUN
ap-5709	129	5	is	be	AUX
ap-5709	129	6	obtained	obtain	VERB
ap-5709	129	7	by	by	ADP
ap-5709	129	8	restricting	restrict	VERB
ap-5709	129	9	the	the	DET
ap-5709	129	10	weak	weak	ADJ
ap-5709	129	11	formulation	formulation	NOUN
ap-5709	129	12	(	(	PUNCT
ap-5709	129	13	19	19	NUM
ap-5709	129	14	)	)	PUNCT
ap-5709	129	15	to	to	ADP
ap-5709	129	16	a	a	DET
ap-5709	129	17	finite	finite	ADJ
ap-5709	129	18	dimensional	dimensional	ADJ
ap-5709	129	19	subspace	subspace	NOUN
ap-5709	129	20	w	w	ADP
ap-5709	129	21	1,2	1,2	NUM
ap-5709	129	22	per	per	ADP
ap-5709	129	23	,	,	PUNCT
ap-5709	129	24	h(y	h(y	NOUN
ap-5709	129	25	)	)	PUNCT
ap-5709	129	26	of	of	ADP
ap-5709	129	27	w	w	PROPN
ap-5709	129	28	1,2	1,2	NUM
ap-5709	129	29	per(y	per(y	VERB
ap-5709	129	30	)	)	PUNCT
ap-5709	129	31	.	.	PUNCT
ap-5709	130	1	then	then	ADV
ap-5709	130	2	,	,	PUNCT
ap-5709	130	3	we	we	PRON
ap-5709	130	4	seek	seek	VERB
ap-5709	130	5	the	the	DET
ap-5709	130	6	approximate	approximate	ADJ
ap-5709	130	7	solution	solution	NOUN
ap-5709	130	8	uhi	uhi	X
ap-5709	130	9	∈w	∈w	NOUN
ap-5709	130	10	1,2	1,2	NUM
ap-5709	130	11	per	per	ADP
ap-5709	130	12	,	,	PUNCT
ap-5709	130	13	h(y	h(y	ADV
ap-5709	130	14	)	)	PUNCT
ap-5709	130	15	satisfying	satisfy	VERB
ap-5709	130	16	the	the	DET
ap-5709	130	17	equation∫	equation∫	NOUN
ap-5709	130	18	y	y	PROPN
ap-5709	130	19	a(y)∇uhi	a(y)∇uhi	ADV
ap-5709	130	20	·	·	PUNCT
ap-5709	130	21	∇ϕh	∇ϕh	NOUN
ap-5709	130	22	dy	dy	NOUN
ap-5709	130	23	=	=	SYM
ap-5709	130	24	−	−	PROPN
ap-5709	130	25	∫	∫	PROPN
ap-5709	130	26	y	y	PROPN
ap-5709	130	27	a(y)ei	a(y)ei	PROPN
ap-5709	130	28	·	·	PUNCT
ap-5709	130	29	∇ϕh	∇ϕh	NOUN
ap-5709	130	30	dy	dy	NOUN
ap-5709	130	31	(	(	PUNCT
ap-5709	130	32	20	20	NUM
ap-5709	130	33	)	)	PUNCT
ap-5709	130	34	for	for	ADP
ap-5709	130	35	all	all	DET
ap-5709	130	36	ϕh	ϕh	NOUN
ap-5709	130	37	∈w	∈w	VERB
ap-5709	130	38	1,2	1,2	NUM
ap-5709	130	39	per	per	ADP
ap-5709	130	40	,	,	PUNCT
ap-5709	130	41	h(y	h(y	ADJ
ap-5709	130	42	)	)	PUNCT
ap-5709	130	43	.	.	PUNCT
ap-5709	131	1	4.2.2	4.2.2	X
ap-5709	131	2	.	.	PUNCT
ap-5709	132	1	computation	computation	NOUN
ap-5709	132	2	of	of	ADP
ap-5709	132	3	the	the	DET
ap-5709	132	4	homogenized	homogenized	ADJ
ap-5709	132	5	coefficients	coefficient	NOUN
ap-5709	132	6	by	by	ADP
ap-5709	132	7	an	an	DET
ap-5709	132	8	analytical	analytical	ADJ
ap-5709	132	9	approximation	approximation	NOUN
ap-5709	132	10	it	it	PRON
ap-5709	132	11	is	be	AUX
ap-5709	132	12	worth	worth	ADJ
ap-5709	132	13	pointing	point	VERB
ap-5709	132	14	out	out	ADP
ap-5709	132	15	that	that	SCONJ
ap-5709	132	16	the	the	DET
ap-5709	132	17	cell	cell	NOUN
ap-5709	132	18	problems	problem	NOUN
ap-5709	132	19	(	(	PUNCT
ap-5709	132	20	10	10	NUM
ap-5709	132	21	)	)	PUNCT
ap-5709	132	22	and	and	CCONJ
ap-5709	132	23	(	(	PUNCT
ap-5709	132	24	11	11	NUM
ap-5709	132	25	)	)	PUNCT
ap-5709	132	26	need	need	VERB
ap-5709	132	27	to	to	PART
ap-5709	132	28	be	be	AUX
ap-5709	132	29	solved	solve	VERB
ap-5709	132	30	at	at	ADP
ap-5709	132	31	each	each	DET
ap-5709	132	32	integration	integration	NOUN
ap-5709	132	33	point	point	NOUN
ap-5709	132	34	and	and	CCONJ
ap-5709	132	35	in	in	ADP
ap-5709	132	36	each	each	DET
ap-5709	132	37	discrete	discrete	ADJ
ap-5709	132	38	time	time	NOUN
ap-5709	132	39	step	step	NOUN
ap-5709	132	40	n	n	NOUN
ap-5709	132	41	=	=	SYM
ap-5709	132	42	0	0	NUM
ap-5709	132	43	,	,	PUNCT
ap-5709	132	44	1	1	NUM
ap-5709	132	45	,	,	PUNCT
ap-5709	132	46	.	.	PUNCT
ap-5709	132	47	.	.	PUNCT
ap-5709	133	1	.	.	PUNCT
ap-5709	134	1	,	,	PUNCT
ap-5709	134	2	n	n	PROPN
ap-5709	134	3	of	of	ADP
ap-5709	134	4	the	the	DET
ap-5709	134	5	problem	problem	NOUN
ap-5709	134	6	(	(	PUNCT
ap-5709	134	7	13)–(15	13)–(15	NUM
ap-5709	134	8	)	)	PUNCT
ap-5709	134	9	.	.	PUNCT
ap-5709	135	1	this	this	PRON
ap-5709	135	2	means	mean	VERB
ap-5709	135	3	that	that	SCONJ
ap-5709	135	4	a	a	DET
ap-5709	135	5	very	very	ADV
ap-5709	135	6	large	large	ADJ
ap-5709	135	7	number	number	NOUN
ap-5709	135	8	of	of	ADP
ap-5709	135	9	cell	cell	NOUN
ap-5709	135	10	problems	problem	NOUN
ap-5709	135	11	need	need	VERB
ap-5709	135	12	to	to	PART
ap-5709	135	13	be	be	AUX
ap-5709	135	14	solved	solve	VERB
ap-5709	135	15	in	in	ADP
ap-5709	135	16	order	order	NOUN
ap-5709	135	17	to	to	PART
ap-5709	135	18	compute	compute	VERB
ap-5709	135	19	homogenized	homogenized	ADJ
ap-5709	135	20	coefficients	coefficient	NOUN
ap-5709	135	21	a∗	a∗	ADJ
ap-5709	135	22	and	and	CCONJ
ap-5709	135	23	λ∗	λ∗	PROPN
ap-5709	135	24	in	in	ADP
ap-5709	135	25	the	the	DET
ap-5709	135	26	whole	whole	ADJ
ap-5709	135	27	macroscopic	macroscopic	ADJ
ap-5709	135	28	domain	domain	NOUN
ap-5709	135	29	ω	ω	NOUN
ap-5709	135	30	.	.	PUNCT
ap-5709	136	1	in	in	ADP
ap-5709	136	2	[	[	X
ap-5709	136	3	20	20	NUM
ap-5709	136	4	]	]	PUNCT
ap-5709	136	5	,	,	PUNCT
ap-5709	136	6	the	the	DET
ap-5709	136	7	authors	author	NOUN
ap-5709	136	8	proposed	propose	VERB
ap-5709	136	9	an	an	DET
ap-5709	136	10	analytical	analytical	ADJ
ap-5709	136	11	approximation	approximation	NOUN
ap-5709	136	12	of	of	ADP
ap-5709	136	13	the	the	DET
ap-5709	136	14	solution	solution	NOUN
ap-5709	136	15	to	to	ADP
ap-5709	136	16	the	the	DET
ap-5709	136	17	periodic	periodic	ADJ
ap-5709	136	18	cell	cell	NOUN
ap-5709	136	19	problem	problem	NOUN
ap-5709	136	20	(	(	PUNCT
ap-5709	136	21	17	17	NUM
ap-5709	136	22	)	)	PUNCT
ap-5709	136	23	with	with	ADP
ap-5709	136	24	a	a	DET
ap-5709	136	25	step	step	NOUN
ap-5709	136	26	function	function	NOUN
ap-5709	136	27	a	a	PRON
ap-5709	136	28	defined	define	VERB
ap-5709	136	29	by	by	ADP
ap-5709	136	30	(	(	PUNCT
ap-5709	136	31	18	18	NUM
ap-5709	136	32	)	)	PUNCT
ap-5709	136	33	.	.	PUNCT
ap-5709	137	1	it	it	PRON
ap-5709	137	2	can	can	AUX
ap-5709	137	3	be	be	AUX
ap-5709	137	4	easily	easily	ADV
ap-5709	137	5	shown	show	VERB
ap-5709	137	6	that	that	SCONJ
ap-5709	137	7	the	the	DET
ap-5709	137	8	functions	function	NOUN
ap-5709	137	9	ũ1(y	ũ1(y	PRON
ap-5709	137	10	)	)	PUNCT
ap-5709	137	11	=	=	SYM
ap-5709	138	1	∫	∫	PROPN
ap-5709	138	2	y1	y1	INTJ
ap-5709	138	3	0	0	NUM
ap-5709	138	4	ds	ds	PROPN
ap-5709	138	5	a(s	a(s	PROPN
ap-5709	138	6	,	,	PUNCT
ap-5709	138	7	y2	y2	PROPN
ap-5709	138	8	)	)	PUNCT
ap-5709	138	9	(	(	PUNCT
ap-5709	138	10	∫	∫	PROPN
ap-5709	138	11	1	1	NUM
ap-5709	138	12	0	0	NUM
ap-5709	138	13	ds	ds	PROPN
ap-5709	138	14	a(s	a(s	PROPN
ap-5709	138	15	,	,	PUNCT
ap-5709	138	16	y2	y2	NOUN
ap-5709	138	17	)	)	PUNCT
ap-5709	138	18	)	)	PUNCT
ap-5709	138	19	−1	−1	NOUN
ap-5709	138	20	−	−	NOUN
ap-5709	138	21	y1	y1	INTJ
ap-5709	138	22	(	(	PUNCT
ap-5709	138	23	21	21	NUM
ap-5709	138	24	)	)	PUNCT
ap-5709	138	25	and	and	CCONJ
ap-5709	138	26	ũ2(y	ũ2(y	PROPN
ap-5709	138	27	)	)	PUNCT
ap-5709	138	28	=	=	SYM
ap-5709	139	1	∫	∫	PROPN
ap-5709	139	2	y2	y2	NOUN
ap-5709	139	3	0	0	NUM
ap-5709	139	4	ds	ds	ADJ
ap-5709	139	5	a(y1	a(y1	NOUN
ap-5709	139	6	,	,	PUNCT
ap-5709	139	7	s	s	PART
ap-5709	139	8	)	)	PUNCT
ap-5709	139	9	(	(	PUNCT
ap-5709	139	10	∫	∫	PROPN
ap-5709	139	11	1	1	NUM
ap-5709	139	12	0	0	NUM
ap-5709	139	13	ds	ds	ADJ
ap-5709	139	14	a(y1	a(y1	NOUN
ap-5709	139	15	,	,	PUNCT
ap-5709	139	16	s	s	NOUN
ap-5709	139	17	)	)	PUNCT
ap-5709	139	18	)	)	PUNCT
ap-5709	139	19	−1	−1	NOUN
ap-5709	139	20	−	−	PROPN
ap-5709	139	21	y2	y2	PROPN
ap-5709	139	22	(	(	PUNCT
ap-5709	139	23	22	22	NUM
ap-5709	139	24	)	)	PUNCT
ap-5709	139	25	satisfy	satisfy	VERB
ap-5709	139	26	the	the	DET
ap-5709	139	27	equation	equation	NOUN
ap-5709	139	28	(	(	PUNCT
ap-5709	139	29	17	17	NUM
ap-5709	139	30	)	)	PUNCT
ap-5709	139	31	almost	almost	ADV
ap-5709	139	32	everywhere	everywhere	ADV
ap-5709	139	33	in	in	ADP
ap-5709	139	34	y	y	PROPN
ap-5709	139	35	,	,	PUNCT
ap-5709	139	36	see	see	VERB
ap-5709	139	37	[	[	X
ap-5709	139	38	20	20	NUM
ap-5709	139	39	,	,	PUNCT
ap-5709	139	40	theorem	theorem	VERB
ap-5709	139	41	2.1	2.1	NUM
ap-5709	139	42	]	]	PUNCT
ap-5709	139	43	.	.	PUNCT
ap-5709	140	1	the	the	DET
ap-5709	140	2	proposed	propose	VERB
ap-5709	140	3	solution	solution	NOUN
ap-5709	140	4	can	can	AUX
ap-5709	140	5	be	be	AUX
ap-5709	140	6	seen	see	VERB
ap-5709	140	7	as	as	ADP
ap-5709	140	8	an	an	DET
ap-5709	140	9	approximation	approximation	NOUN
ap-5709	140	10	to	to	ADP
ap-5709	140	11	the	the	DET
ap-5709	140	12	solution	solution	NOUN
ap-5709	140	13	of	of	ADP
ap-5709	140	14	(	(	PUNCT
ap-5709	140	15	19	19	NUM
ap-5709	140	16	)	)	PUNCT
ap-5709	140	17	in	in	ADP
ap-5709	140	18	l2(y	l2(y	NOUN
ap-5709	140	19	)	)	PUNCT
ap-5709	140	20	.	.	PUNCT
ap-5709	141	1	the	the	DET
ap-5709	141	2	computational	computational	ADJ
ap-5709	141	3	cost	cost	NOUN
ap-5709	141	4	savings	saving	NOUN
ap-5709	141	5	are	be	AUX
ap-5709	141	6	evident	evident	ADJ
ap-5709	141	7	because	because	SCONJ
ap-5709	141	8	of	of	ADP
ap-5709	141	9	the	the	DET
ap-5709	141	10	closed	closed	ADJ
ap-5709	141	11	-	-	PUNCT
ap-5709	141	12	form	form	NOUN
ap-5709	141	13	approximation	approximation	NOUN
ap-5709	141	14	of	of	ADP
ap-5709	141	15	the	the	DET
ap-5709	141	16	solution	solution	NOUN
ap-5709	141	17	to	to	ADP
ap-5709	141	18	the	the	DET
ap-5709	141	19	periodic	periodic	ADJ
ap-5709	141	20	cell	cell	NOUN
ap-5709	141	21	problem	problem	NOUN
ap-5709	141	22	.	.	PUNCT
ap-5709	142	1	it	it	PRON
ap-5709	142	2	is	be	AUX
ap-5709	142	3	worth	worth	ADJ
ap-5709	142	4	noting	note	VERB
ap-5709	142	5	that	that	SCONJ
ap-5709	142	6	,	,	PUNCT
ap-5709	142	7	for	for	ADP
ap-5709	142	8	the	the	DET
ap-5709	142	9	aggregate	aggregate	NOUN
ap-5709	142	10	of	of	ADP
ap-5709	142	11	a	a	DET
ap-5709	142	12	rectangular	rectangular	ADJ
ap-5709	142	13	shape	shape	NOUN
ap-5709	142	14	symmetrically	symmetrically	ADV
ap-5709	142	15	placed	place	VERB
ap-5709	142	16	within	within	ADP
ap-5709	142	17	the	the	DET
ap-5709	142	18	periodic	periodic	ADJ
ap-5709	142	19	cell	cell	NOUN
ap-5709	142	20	,	,	PUNCT
ap-5709	142	21	which	which	PRON
ap-5709	142	22	is	be	AUX
ap-5709	142	23	the	the	DET
ap-5709	142	24	case	case	NOUN
ap-5709	142	25	considered	consider	VERB
ap-5709	142	26	in	in	ADP
ap-5709	142	27	the	the	DET
ap-5709	142	28	following	follow	VERB
ap-5709	142	29	numerical	numerical	ADJ
ap-5709	142	30	experiments	experiment	NOUN
ap-5709	142	31	,	,	PUNCT
ap-5709	142	32	the	the	DET
ap-5709	142	33	aforementioned	aforementioned	ADJ
ap-5709	142	34	approximation	approximation	NOUN
ap-5709	142	35	leads	lead	VERB
ap-5709	142	36	to	to	ADP
ap-5709	142	37	simple	simple	ADJ
ap-5709	142	38	formulae	formulae	NOUN
ap-5709	142	39	for	for	ADP
ap-5709	142	40	the	the	DET
ap-5709	142	41	homogenized	homogenized	ADJ
ap-5709	142	42	coefficients	coefficient	NOUN
ap-5709	142	43	,	,	PUNCT
ap-5709	142	44	see	see	VERB
ap-5709	142	45	also	also	ADV
ap-5709	142	46	[	[	X
ap-5709	142	47	20–23	20–23	NOUN
ap-5709	142	48	]	]	X
ap-5709	142	49	.	.	PUNCT
ap-5709	143	1	for	for	ADP
ap-5709	143	2	λ∗	λ∗	PROPN
ap-5709	143	3	(	(	PUNCT
ap-5709	143	4	and	and	CCONJ
ap-5709	143	5	for	for	ADP
ap-5709	143	6	a∗	a∗	ADJ
ap-5709	143	7	analogously	analogously	ADV
ap-5709	143	8	)	)	PUNCT
ap-5709	143	9	,	,	PUNCT
ap-5709	143	10	we	we	PRON
ap-5709	143	11	can	can	AUX
ap-5709	143	12	write	write	VERB
ap-5709	143	13	λ∗11(pk	λ∗11(pk	NOUN
ap-5709	143	14	,	,	PUNCT
ap-5709	143	15	ϑk	ϑk	PROPN
ap-5709	143	16	,	,	PUNCT
ap-5709	143	17	ξk	ξk	ADP
ap-5709	143	18	)	)	PUNCT
ap-5709	143	19	=	=	SYM
ap-5709	144	1	2d2λc(pk	2d2λc(pk	NUM
ap-5709	144	2	,	,	PUNCT
ap-5709	144	3	ϑk	ϑk	PROPN
ap-5709	144	4	,	,	PUNCT
ap-5709	144	5	ξk	ξk	ADP
ap-5709	144	6	)	)	PUNCT
ap-5709	144	7	+	+	CCONJ
ap-5709	144	8	1−	1−	NUM
ap-5709	144	9	2d2	2d2	NUM
ap-5709	144	10	2d1	2d1	NUM
ap-5709	144	11	λc(pk	λc(pk	PROPN
ap-5709	144	12	,	,	PUNCT
ap-5709	144	13	ϑk	ϑk	PROPN
ap-5709	144	14	,	,	PUNCT
ap-5709	144	15	ξk	ξk	ADP
ap-5709	144	16	)	)	PUNCT
ap-5709	144	17	+	+	NUM
ap-5709	144	18	1−	1−	NUM
ap-5709	144	19	2d1	2d1	NUM
ap-5709	144	20	λa(pk	λa(pk	PROPN
ap-5709	144	21	,	,	PUNCT
ap-5709	144	22	ϑk	ϑk	PROPN
ap-5709	144	23	)	)	PUNCT
ap-5709	144	24	,	,	PUNCT
ap-5709	144	25	(	(	PUNCT
ap-5709	144	26	23	23	NUM
ap-5709	144	27	)	)	PUNCT
ap-5709	144	28	λ∗22(pk	λ∗22(pk	NUM
ap-5709	144	29	,	,	PUNCT
ap-5709	144	30	ϑk	ϑk	PROPN
ap-5709	144	31	,	,	PUNCT
ap-5709	144	32	ξk	ξk	ADP
ap-5709	144	33	)	)	PUNCT
ap-5709	144	34	=	=	SYM
ap-5709	144	35	2d1λc(pk	2d1λc(pk	NUM
ap-5709	144	36	,	,	PUNCT
ap-5709	144	37	ϑk	ϑk	PROPN
ap-5709	144	38	,	,	PUNCT
ap-5709	144	39	ξk	ξk	ADP
ap-5709	144	40	)	)	PUNCT
ap-5709	144	41	+	+	NUM
ap-5709	144	42	1−	1−	NUM
ap-5709	144	43	2d1	2d1	NUM
ap-5709	144	44	2d2	2d2	NUM
ap-5709	144	45	λc(pk	λc(pk	NOUN
ap-5709	144	46	,	,	PUNCT
ap-5709	144	47	ϑk	ϑk	PROPN
ap-5709	144	48	,	,	PUNCT
ap-5709	144	49	ξk	ξk	ADP
ap-5709	144	50	)	)	PUNCT
ap-5709	144	51	+	+	CCONJ
ap-5709	144	52	1−	1−	NUM
ap-5709	144	53	2d2	2d2	NUM
ap-5709	144	54	λa(pk	λa(pk	PROPN
ap-5709	144	55	,	,	PUNCT
ap-5709	144	56	ϑk	ϑk	PROPN
ap-5709	144	57	)	)	PUNCT
ap-5709	144	58	,	,	PUNCT
ap-5709	144	59	(	(	PUNCT
ap-5709	144	60	24	24	NUM
ap-5709	144	61	)	)	PUNCT
ap-5709	144	62	and	and	CCONJ
ap-5709	144	63	λ∗12	λ∗12	X
ap-5709	144	64	=	=	PUNCT
ap-5709	144	65	λ∗21	λ∗21	PROPN
ap-5709	144	66	=	=	SYM
ap-5709	144	67	0	0	NUM
ap-5709	144	68	,	,	PUNCT
ap-5709	144	69	(	(	PUNCT
ap-5709	144	70	25	25	NUM
ap-5709	144	71	)	)	PUNCT
ap-5709	144	72	where	where	SCONJ
ap-5709	144	73	pk	pk	NOUN
ap-5709	144	74	,	,	PUNCT
ap-5709	144	75	ϑk	ϑk	PROPN
ap-5709	144	76	,	,	PUNCT
ap-5709	144	77	and	and	CCONJ
ap-5709	144	78	ξk	ξk	ADP
ap-5709	144	79	,	,	PUNCT
ap-5709	144	80	respectively	respectively	ADV
ap-5709	144	81	,	,	PUNCT
ap-5709	144	82	are	be	AUX
ap-5709	144	83	the	the	DET
ap-5709	144	84	water	water	NOUN
ap-5709	144	85	pressure	pressure	NOUN
ap-5709	144	86	,	,	PUNCT
ap-5709	144	87	temperature	temperature	NOUN
ap-5709	144	88	,	,	PUNCT
ap-5709	144	89	and	and	CCONJ
ap-5709	144	90	hydration	hydration	NOUN
ap-5709	144	91	degree	degree	NOUN
ap-5709	144	92	at	at	ADP
ap-5709	144	93	the	the	DET
ap-5709	144	94	k	k	NOUN
ap-5709	144	95	-	-	PUNCT
ap-5709	144	96	th	th	VERB
ap-5709	144	97	integration	integration	NOUN
ap-5709	144	98	point	point	NOUN
ap-5709	144	99	of	of	ADP
ap-5709	144	100	the	the	DET
ap-5709	144	101	macroscopic	macroscopic	ADJ
ap-5709	144	102	(	(	PUNCT
ap-5709	144	103	homogenized	homogenized	ADJ
ap-5709	144	104	)	)	PUNCT
ap-5709	144	105	model	model	NOUN
ap-5709	144	106	,	,	PUNCT
ap-5709	144	107	and	and	CCONJ
ap-5709	144	108	d1	d1	PROPN
ap-5709	144	109	and	and	CCONJ
ap-5709	144	110	d2	d2	PROPN
ap-5709	144	111	are	be	AUX
ap-5709	144	112	the	the	DET
ap-5709	144	113	geometrical	geometrical	ADJ
ap-5709	144	114	parameters	parameter	NOUN
ap-5709	144	115	of	of	ADP
ap-5709	144	116	the	the	DET
ap-5709	144	117	periodic	periodic	ADJ
ap-5709	144	118	cell	cell	NOUN
ap-5709	144	119	,	,	PUNCT
ap-5709	144	120	see	see	VERB
ap-5709	144	121	figure	figure	NOUN
ap-5709	144	122	1	1	NUM
ap-5709	144	123	.	.	PUNCT
ap-5709	144	124	figure	figure	NOUN
ap-5709	144	125	1	1	NUM
ap-5709	144	126	.	.	PUNCT
ap-5709	144	127	cell	cell	NOUN
ap-5709	144	128	geometry	geometry	NOUN
ap-5709	144	129	.	.	PUNCT
ap-5709	145	1	the	the	DET
ap-5709	145	2	solution	solution	NOUN
ap-5709	145	3	of	of	ADP
ap-5709	145	4	the	the	DET
ap-5709	145	5	cell	cell	NOUN
ap-5709	145	6	problem	problem	NOUN
ap-5709	145	7	in	in	ADP
ap-5709	145	8	y	y	PROPN
ap-5709	145	9	is	be	AUX
ap-5709	145	10	crucial	crucial	ADJ
ap-5709	145	11	for	for	ADP
ap-5709	145	12	obtaining	obtain	VERB
ap-5709	145	13	the	the	DET
ap-5709	145	14	homogenized	homogenized	ADJ
ap-5709	145	15	coefficients	coefficient	NOUN
ap-5709	145	16	in	in	ADP
ap-5709	145	17	the	the	DET
ap-5709	145	18	global	global	ADJ
ap-5709	145	19	domain	domain	PROPN
ap-5709	145	20	ω	ω	PROPN
ap-5709	145	21	.	.	PUNCT
ap-5709	146	1	therefore	therefore	ADV
ap-5709	146	2	,	,	PUNCT
ap-5709	146	3	a	a	DET
ap-5709	146	4	comparison	comparison	NOUN
ap-5709	146	5	of	of	ADP
ap-5709	146	6	solutions	solution	NOUN
ap-5709	146	7	of	of	ADP
ap-5709	146	8	the	the	DET
ap-5709	146	9	homogenized	homogenized	ADJ
ap-5709	146	10	problem	problem	NOUN
ap-5709	146	11	(	(	PUNCT
ap-5709	146	12	13)–(15	13)–(15	NUM
ap-5709	146	13	)	)	PUNCT
ap-5709	146	14	,	,	PUNCT
ap-5709	146	15	with	with	ADP
ap-5709	146	16	homogenized	homogenized	ADJ
ap-5709	146	17	coefficients	coefficient	NOUN
ap-5709	146	18	obtained	obtain	VERB
ap-5709	146	19	by	by	ADP
ap-5709	146	20	using	use	VERB
ap-5709	146	21	the	the	DET
ap-5709	146	22	analytical	analytical	ADJ
ap-5709	146	23	formulae	formulae	NOUN
ap-5709	146	24	(	(	PUNCT
ap-5709	146	25	23)–(25	23)–(25	NUM
ap-5709	146	26	)	)	PUNCT
ap-5709	146	27	and	and	CCONJ
ap-5709	146	28	the	the	DET
ap-5709	146	29	one	one	NOUN
ap-5709	146	30	computed	compute	VERB
ap-5709	146	31	numerically	numerically	ADV
ap-5709	146	32	according	accord	VERB
ap-5709	146	33	to	to	ADP
ap-5709	146	34	(	(	PUNCT
ap-5709	146	35	20	20	NUM
ap-5709	146	36	)	)	PUNCT
ap-5709	146	37	,	,	PUNCT
ap-5709	146	38	is	be	AUX
ap-5709	146	39	one	one	NUM
ap-5709	146	40	of	of	ADP
ap-5709	146	41	the	the	DET
ap-5709	146	42	major	major	ADJ
ap-5709	146	43	goals	goal	NOUN
ap-5709	146	44	of	of	ADP
ap-5709	146	45	the	the	DET
ap-5709	146	46	present	present	ADJ
ap-5709	146	47	work	work	NOUN
ap-5709	146	48	,	,	PUNCT
ap-5709	146	49	see	see	VERB
ap-5709	146	50	the	the	DET
ap-5709	146	51	next	next	ADJ
ap-5709	146	52	section	section	NOUN
ap-5709	146	53	.	.	PUNCT
ap-5709	147	1	5	5	X
ap-5709	147	2	.	.	NOUN
ap-5709	147	3	numerical	numerical	ADJ
ap-5709	147	4	experiments	experiment	NOUN
ap-5709	147	5	the	the	DET
ap-5709	147	6	mesoscale	mesoscale	ADJ
ap-5709	147	7	model	model	NOUN
ap-5709	147	8	and	and	CCONJ
ap-5709	147	9	the	the	DET
ap-5709	147	10	homogenization	homogenization	NOUN
ap-5709	147	11	framework	framework	NOUN
ap-5709	147	12	have	have	AUX
ap-5709	147	13	both	both	PRON
ap-5709	147	14	been	be	AUX
ap-5709	147	15	implemented	implement	VERB
ap-5709	147	16	in	in	ADP
ap-5709	147	17	a	a	DET
ap-5709	147	18	matlab	matlab	NOUN
ap-5709	147	19	[	[	X
ap-5709	147	20	31	31	NUM
ap-5709	147	21	]	]	PUNCT
ap-5709	147	22	code	code	NOUN
ap-5709	147	23	,	,	PUNCT
ap-5709	147	24	which	which	PRON
ap-5709	147	25	is	be	AUX
ap-5709	147	26	employed	employ	VERB
ap-5709	147	27	for	for	ADP
ap-5709	147	28	the	the	DET
ap-5709	147	29	following	follow	VERB
ap-5709	147	30	numerical	numerical	ADJ
ap-5709	147	31	experiments	experiment	NOUN
ap-5709	147	32	.	.	PUNCT
ap-5709	148	1	for	for	ADP
ap-5709	148	2	the	the	DET
ap-5709	148	3	spatial	spatial	ADJ
ap-5709	148	4	discretization	discretization	NOUN
ap-5709	148	5	,	,	PUNCT
ap-5709	148	6	the	the	DET
ap-5709	148	7	finite	finite	PROPN
ap-5709	148	8	element	element	NOUN
ap-5709	148	9	method	method	NOUN
ap-5709	148	10	is	be	AUX
ap-5709	148	11	utilized	utilize	VERB
ap-5709	148	12	by	by	ADP
ap-5709	148	13	using	use	VERB
ap-5709	148	14	four	four	NUM
ap-5709	148	15	-	-	PUNCT
ap-5709	148	16	node	node	ADJ
ap-5709	148	17	bilinear	bilinear	NOUN
ap-5709	148	18	elements	element	NOUN
ap-5709	148	19	with	with	ADP
ap-5709	148	20	3×3	3×3	NUM
ap-5709	148	21	integration	integration	NOUN
ap-5709	148	22	points	point	NOUN
ap-5709	148	23	.	.	PUNCT
ap-5709	149	1	the	the	DET
ap-5709	149	2	temporal	temporal	ADJ
ap-5709	149	3	discretization	discretization	NOUN
ap-5709	149	4	is	be	AUX
ap-5709	149	5	performed	perform	VERB
ap-5709	149	6	by	by	ADP
ap-5709	149	7	a	a	DET
ap-5709	149	8	semi	semi	ADJ
ap-5709	149	9	-	-	ADJ
ap-5709	149	10	implicit	implicit	ADJ
ap-5709	149	11	difference	difference	NOUN
ap-5709	149	12	scheme	scheme	NOUN
ap-5709	149	13	,	,	PUNCT
ap-5709	149	14	see	see	VERB
ap-5709	149	15	section	section	NOUN
ap-5709	149	16	4	4	NUM
ap-5709	149	17	.	.	NOUN
ap-5709	149	18	15	15	NUM
ap-5709	149	19	michal	michal	PROPN
ap-5709	149	20	beneš	beneš	PROPN
ap-5709	149	21	,	,	PUNCT
ap-5709	149	22	radek	radek	PROPN
ap-5709	149	23	štefan	štefan	PROPN
ap-5709	149	24	acta	acta	PROPN
ap-5709	149	25	polytechnica	polytechnica	PROPN
ap-5709	149	26	the	the	DET
ap-5709	149	27	aim	aim	NOUN
ap-5709	149	28	of	of	ADP
ap-5709	149	29	the	the	DET
ap-5709	149	30	illustrative	illustrative	ADJ
ap-5709	149	31	examples	example	NOUN
ap-5709	149	32	is	be	AUX
ap-5709	149	33	to	to	PART
ap-5709	149	34	demonstrate	demonstrate	VERB
ap-5709	149	35	some	some	PRON
ap-5709	149	36	of	of	ADP
ap-5709	149	37	the	the	DET
ap-5709	149	38	properties	property	NOUN
ap-5709	149	39	of	of	ADP
ap-5709	149	40	the	the	DET
ap-5709	149	41	mesoscale	mesoscale	ADJ
ap-5709	149	42	model	model	NOUN
ap-5709	149	43	and	and	CCONJ
ap-5709	149	44	the	the	DET
ap-5709	149	45	homogenization	homogenization	NOUN
ap-5709	149	46	framework	framework	NOUN
ap-5709	149	47	by	by	ADP
ap-5709	149	48	analysing	analyse	VERB
ap-5709	149	49	the	the	DET
ap-5709	149	50	effects	effect	NOUN
ap-5709	149	51	of	of	ADP
ap-5709	149	52	changing	change	VERB
ap-5709	149	53	(	(	PUNCT
ap-5709	149	54	i	i	NOUN
ap-5709	149	55	)	)	PUNCT
ap-5709	149	56	the	the	DET
ap-5709	149	57	characteristic	characteristic	ADJ
ap-5709	149	58	length	length	NOUN
ap-5709	149	59	ε	ε	PROPN
ap-5709	149	60	,	,	PUNCT
ap-5709	149	61	(	(	PUNCT
ap-5709	149	62	ii	ii	NOUN
ap-5709	149	63	)	)	PUNCT
ap-5709	149	64	the	the	DET
ap-5709	149	65	aggregate	aggregate	ADJ
ap-5709	149	66	shape	shape	NOUN
ap-5709	149	67	,	,	PUNCT
ap-5709	149	68	(	(	PUNCT
ap-5709	149	69	iii	iii	X
ap-5709	149	70	)	)	PUNCT
ap-5709	149	71	the	the	DET
ap-5709	149	72	fe	fe	PROPN
ap-5709	149	73	mesh	mesh	NOUN
ap-5709	149	74	size	size	NOUN
ap-5709	149	75	,	,	PUNCT
ap-5709	149	76	and	and	CCONJ
ap-5709	149	77	(	(	PUNCT
ap-5709	149	78	iv	iv	X
ap-5709	149	79	)	)	PUNCT
ap-5709	149	80	the	the	DET
ap-5709	149	81	approach	approach	NOUN
ap-5709	149	82	to	to	ADP
ap-5709	149	83	solving	solve	VERB
ap-5709	149	84	the	the	DET
ap-5709	149	85	local	local	ADJ
ap-5709	149	86	problem	problem	NOUN
ap-5709	149	87	.	.	PUNCT
ap-5709	150	1	for	for	ADP
ap-5709	150	2	the	the	DET
ap-5709	150	3	numerical	numerical	ADJ
ap-5709	150	4	experiments	experiment	NOUN
ap-5709	150	5	presented	present	VERB
ap-5709	150	6	in	in	ADP
ap-5709	150	7	this	this	DET
ap-5709	150	8	paper	paper	NOUN
ap-5709	150	9	,	,	PUNCT
ap-5709	150	10	the	the	DET
ap-5709	150	11	cell	cell	NOUN
ap-5709	150	12	geometry	geometry	NOUN
ap-5709	150	13	shown	show	VERB
ap-5709	150	14	in	in	ADP
ap-5709	150	15	figure	figure	NOUN
ap-5709	150	16	1	1	NUM
ap-5709	150	17	is	be	AUX
ap-5709	150	18	assumed	assume	VERB
ap-5709	150	19	.	.	PUNCT
ap-5709	151	1	the	the	DET
ap-5709	151	2	rectangular	rectangular	ADJ
ap-5709	151	3	aggregate	aggregate	ADJ
ap-5709	151	4	shape	shape	NOUN
ap-5709	151	5	was	be	AUX
ap-5709	151	6	chosen	choose	VERB
ap-5709	151	7	for	for	ADP
ap-5709	151	8	the	the	DET
ap-5709	151	9	reason	reason	NOUN
ap-5709	151	10	that	that	SCONJ
ap-5709	151	11	it	it	PRON
ap-5709	151	12	can	can	AUX
ap-5709	151	13	be	be	AUX
ap-5709	151	14	easily	easily	ADV
ap-5709	151	15	analysed	analyse	VERB
ap-5709	151	16	by	by	ADP
ap-5709	151	17	the	the	DET
ap-5709	151	18	analytical	analytical	ADJ
ap-5709	151	19	approach	approach	NOUN
ap-5709	151	20	and	and	CCONJ
ap-5709	151	21	it	it	PRON
ap-5709	151	22	can	can	AUX
ap-5709	151	23	be	be	AUX
ap-5709	151	24	simply	simply	ADV
ap-5709	151	25	discretized	discretize	VERB
ap-5709	151	26	by	by	ADP
ap-5709	151	27	fournode	fournode	PROPN
ap-5709	151	28	bilinear	bilinear	PROPN
ap-5709	151	29	finite	finite	PROPN
ap-5709	151	30	elements	element	NOUN
ap-5709	151	31	.	.	PUNCT
ap-5709	152	1	similar	similar	ADJ
ap-5709	152	2	examples	example	NOUN
ap-5709	152	3	have	have	AUX
ap-5709	152	4	also	also	ADV
ap-5709	152	5	been	be	AUX
ap-5709	152	6	investigated	investigate	VERB
ap-5709	152	7	by	by	ADP
ap-5709	152	8	other	other	ADJ
ap-5709	152	9	researches	research	NOUN
ap-5709	152	10	focusing	focus	VERB
ap-5709	152	11	on	on	ADP
ap-5709	152	12	the	the	DET
ap-5709	152	13	homogenization	homogenization	NOUN
ap-5709	152	14	problem	problem	NOUN
ap-5709	152	15	,	,	PUNCT
ap-5709	153	1	e.g.	e.g.	ADV
ap-5709	153	2	[	[	X
ap-5709	153	3	19–23	19–23	NUM
ap-5709	153	4	]	]	PUNCT
ap-5709	153	5	.	.	PUNCT
ap-5709	154	1	for	for	ADP
ap-5709	154	2	real	real	ADJ
ap-5709	154	3	-	-	PUNCT
ap-5709	154	4	world	world	NOUN
ap-5709	154	5	problems	problem	NOUN
ap-5709	154	6	,	,	PUNCT
ap-5709	154	7	the	the	DET
ap-5709	154	8	cell	cell	NOUN
ap-5709	154	9	geometry	geometry	NOUN
ap-5709	154	10	can	can	AUX
ap-5709	154	11	be	be	AUX
ap-5709	154	12	modified	modify	VERB
ap-5709	154	13	in	in	ADP
ap-5709	154	14	order	order	NOUN
ap-5709	154	15	to	to	PART
ap-5709	154	16	represent	represent	VERB
ap-5709	154	17	the	the	DET
ap-5709	154	18	material	material	NOUN
ap-5709	154	19	more	more	ADV
ap-5709	154	20	accurately	accurately	ADV
ap-5709	154	21	.	.	PUNCT
ap-5709	155	1	concrete	concrete	ADJ
ap-5709	155	2	is	be	AUX
ap-5709	155	3	a	a	DET
ap-5709	155	4	cementitious	cementitious	ADJ
ap-5709	155	5	composite	composite	NOUN
ap-5709	155	6	formed	form	VERB
ap-5709	155	7	by	by	ADP
ap-5709	155	8	the	the	DET
ap-5709	155	9	aggregates	aggregate	NOUN
ap-5709	155	10	of	of	ADP
ap-5709	155	11	different	different	ADJ
ap-5709	155	12	shapes	shape	NOUN
ap-5709	155	13	and	and	CCONJ
ap-5709	155	14	sizes	size	NOUN
ap-5709	155	15	.	.	PUNCT
ap-5709	156	1	this	this	PRON
ap-5709	156	2	could	could	AUX
ap-5709	156	3	be	be	AUX
ap-5709	156	4	implemented	implement	VERB
ap-5709	156	5	in	in	ADP
ap-5709	156	6	the	the	DET
ap-5709	156	7	present	present	ADJ
ap-5709	156	8	models	model	NOUN
ap-5709	156	9	by	by	ADP
ap-5709	156	10	the	the	DET
ap-5709	156	11	appropriate	appropriate	ADJ
ap-5709	156	12	setting	setting	NOUN
ap-5709	156	13	of	of	ADP
ap-5709	156	14	the	the	DET
ap-5709	156	15	periodic	periodic	ADJ
ap-5709	156	16	cell	cell	NOUN
ap-5709	156	17	geometry	geometry	NOUN
ap-5709	156	18	.	.	PUNCT
ap-5709	157	1	within	within	ADP
ap-5709	157	2	the	the	DET
ap-5709	157	3	cell	cell	NOUN
ap-5709	157	4	,	,	PUNCT
ap-5709	157	5	multiple	multiple	ADJ
ap-5709	157	6	domains	domain	NOUN
ap-5709	157	7	representing	represent	VERB
ap-5709	157	8	the	the	DET
ap-5709	157	9	aggregates	aggregate	NOUN
ap-5709	157	10	can	can	AUX
ap-5709	157	11	be	be	AUX
ap-5709	157	12	modelled	model	VERB
ap-5709	157	13	,	,	PUNCT
ap-5709	157	14	each	each	PRON
ap-5709	157	15	of	of	ADP
ap-5709	157	16	them	they	PRON
ap-5709	157	17	of	of	ADP
ap-5709	157	18	a	a	DET
ap-5709	157	19	different	different	ADJ
ap-5709	157	20	shape	shape	NOUN
ap-5709	157	21	and	and	CCONJ
ap-5709	157	22	size	size	NOUN
ap-5709	157	23	,	,	PUNCT
ap-5709	157	24	and	and	CCONJ
ap-5709	157	25	the	the	DET
ap-5709	157	26	local	local	ADJ
ap-5709	157	27	problem	problem	NOUN
ap-5709	157	28	can	can	AUX
ap-5709	157	29	be	be	AUX
ap-5709	157	30	solved	solve	VERB
ap-5709	157	31	by	by	ADP
ap-5709	157	32	the	the	DET
ap-5709	157	33	finite	finite	PROPN
ap-5709	157	34	element	element	NOUN
ap-5709	157	35	method	method	NOUN
ap-5709	157	36	.	.	PUNCT
ap-5709	158	1	due	due	ADP
ap-5709	158	2	to	to	ADP
ap-5709	158	3	the	the	DET
ap-5709	158	4	limited	limited	ADJ
ap-5709	158	5	scope	scope	NOUN
ap-5709	158	6	of	of	ADP
ap-5709	158	7	the	the	DET
ap-5709	158	8	paper	paper	NOUN
ap-5709	158	9	,	,	PUNCT
ap-5709	158	10	such	such	ADJ
ap-5709	158	11	problem	problem	NOUN
ap-5709	158	12	is	be	AUX
ap-5709	158	13	not	not	PART
ap-5709	158	14	presented	present	VERB
ap-5709	158	15	and	and	CCONJ
ap-5709	158	16	will	will	AUX
ap-5709	158	17	be	be	AUX
ap-5709	158	18	analysed	analyse	VERB
ap-5709	158	19	in	in	ADP
ap-5709	158	20	our	our	PRON
ap-5709	158	21	future	future	ADJ
ap-5709	158	22	work	work	NOUN
ap-5709	158	23	.	.	PUNCT
ap-5709	159	1	all	all	DET
ap-5709	159	2	the	the	DET
ap-5709	159	3	material	material	NOUN
ap-5709	159	4	parameters	parameter	NOUN
ap-5709	159	5	and	and	CCONJ
ap-5709	159	6	properties	property	NOUN
ap-5709	159	7	of	of	ADP
ap-5709	159	8	concrete	concrete	ADJ
ap-5709	159	9	components	component	NOUN
ap-5709	159	10	adopted	adopt	VERB
ap-5709	159	11	for	for	ADP
ap-5709	159	12	the	the	DET
ap-5709	159	13	calculations	calculation	NOUN
ap-5709	159	14	as	as	ADV
ap-5709	159	15	well	well	ADV
ap-5709	159	16	as	as	ADP
ap-5709	159	17	the	the	DET
ap-5709	159	18	parameters	parameter	NOUN
ap-5709	159	19	of	of	ADP
ap-5709	159	20	initial	initial	ADJ
ap-5709	159	21	and	and	CCONJ
ap-5709	159	22	boundary	boundary	ADJ
ap-5709	159	23	conditions	condition	NOUN
ap-5709	159	24	are	be	AUX
ap-5709	159	25	summarized	summarize	VERB
ap-5709	159	26	in	in	ADP
ap-5709	159	27	section	section	NOUN
ap-5709	159	28	7	7	NUM
ap-5709	159	29	.	.	NOUN
ap-5709	160	1	5.1	5.1	NUM
ap-5709	160	2	.	.	PUNCT
ap-5709	161	1	convergence	convergence	NOUN
ap-5709	161	2	analysis	analysis	NOUN
ap-5709	161	3	–	–	PUNCT
ap-5709	161	4	layered	layered	ADJ
ap-5709	161	5	structure	structure	NOUN
ap-5709	161	6	the	the	DET
ap-5709	161	7	first	first	ADJ
ap-5709	161	8	example	example	NOUN
ap-5709	161	9	is	be	AUX
ap-5709	161	10	focused	focus	VERB
ap-5709	161	11	on	on	ADP
ap-5709	161	12	an	an	DET
ap-5709	161	13	analysis	analysis	NOUN
ap-5709	161	14	of	of	ADP
ap-5709	161	15	hydration	hydration	NOUN
ap-5709	161	16	and	and	CCONJ
ap-5709	161	17	transport	transport	NOUN
ap-5709	161	18	processes	process	NOUN
ap-5709	161	19	in	in	ADP
ap-5709	161	20	a	a	DET
ap-5709	161	21	structure	structure	NOUN
ap-5709	161	22	(	(	PUNCT
ap-5709	161	23	wall	wall	NOUN
ap-5709	161	24	)	)	PUNCT
ap-5709	161	25	formed	form	VERB
ap-5709	161	26	by	by	ADP
ap-5709	161	27	parallel	parallel	ADJ
ap-5709	161	28	layers	layer	NOUN
ap-5709	161	29	of	of	ADP
ap-5709	161	30	a	a	DET
ap-5709	161	31	fresh	fresh	ADJ
ap-5709	161	32	cement	cement	NOUN
ap-5709	161	33	paste	paste	NOUN
ap-5709	161	34	and	and	CCONJ
ap-5709	161	35	aggregates	aggregate	NOUN
ap-5709	161	36	.	.	PUNCT
ap-5709	162	1	the	the	DET
ap-5709	162	2	objective	objective	NOUN
ap-5709	162	3	of	of	ADP
ap-5709	162	4	this	this	DET
ap-5709	162	5	hypothetical	hypothetical	ADJ
ap-5709	162	6	example	example	NOUN
ap-5709	162	7	is	be	AUX
ap-5709	162	8	to	to	PART
ap-5709	162	9	show	show	VERB
ap-5709	162	10	the	the	DET
ap-5709	162	11	convergence	convergence	NOUN
ap-5709	162	12	of	of	ADP
ap-5709	162	13	the	the	DET
ap-5709	162	14	mesoscale	mesoscale	ADJ
ap-5709	162	15	solution	solution	NOUN
ap-5709	162	16	towards	towards	ADP
ap-5709	162	17	the	the	DET
ap-5709	162	18	homogenized	homogenized	ADJ
ap-5709	162	19	problem	problem	NOUN
ap-5709	162	20	solution	solution	NOUN
ap-5709	162	21	,	,	PUNCT
ap-5709	162	22	as	as	SCONJ
ap-5709	162	23	described	describe	VERB
ap-5709	162	24	for	for	ADP
ap-5709	162	25	similar	similar	ADJ
ap-5709	162	26	problems	problem	NOUN
ap-5709	162	27	,	,	PUNCT
ap-5709	162	28	e.g.	e.g.	ADV
ap-5709	162	29	,	,	PUNCT
ap-5709	162	30	in	in	ADP
ap-5709	162	31	[	[	X
ap-5709	162	32	19–23	19–23	NUM
ap-5709	162	33	]	]	PUNCT
ap-5709	162	34	.	.	PUNCT
ap-5709	163	1	this	this	DET
ap-5709	163	2	type	type	NOUN
ap-5709	163	3	of	of	ADP
ap-5709	163	4	example	example	NOUN
ap-5709	163	5	has	have	AUX
ap-5709	163	6	been	be	AUX
ap-5709	163	7	chosen	choose	VERB
ap-5709	163	8	as	as	ADP
ap-5709	163	9	in	in	ADP
ap-5709	163	10	this	this	DET
ap-5709	163	11	case	case	NOUN
ap-5709	163	12	(	(	PUNCT
ap-5709	163	13	a	a	DET
ap-5709	163	14	layered	layered	ADJ
ap-5709	163	15	structure	structure	NOUN
ap-5709	163	16	)	)	PUNCT
ap-5709	163	17	,	,	PUNCT
ap-5709	163	18	the	the	DET
ap-5709	163	19	homogenized	homogenized	ADJ
ap-5709	163	20	coefficients	coefficient	NOUN
ap-5709	163	21	can	can	AUX
ap-5709	163	22	be	be	AUX
ap-5709	163	23	obtained	obtain	VERB
ap-5709	163	24	by	by	ADP
ap-5709	163	25	an	an	DET
ap-5709	163	26	exact	exact	ADJ
ap-5709	163	27	solution	solution	NOUN
ap-5709	163	28	,	,	PUNCT
ap-5709	163	29	see	see	VERB
ap-5709	163	30	[	[	X
ap-5709	163	31	23	23	NUM
ap-5709	163	32	,	,	PUNCT
ap-5709	163	33	p.	p.	NOUN
ap-5709	163	34	2262	2262	NUM
ap-5709	163	35	]	]	PUNCT
ap-5709	163	36	,	,	PUNCT
ap-5709	163	37	cf	cf	NOUN
ap-5709	163	38	.	.	PUNCT
ap-5709	164	1	e.g.	e.g.	ADV
ap-5709	164	2	[	[	X
ap-5709	164	3	26	26	NUM
ap-5709	164	4	]	]	PUNCT
ap-5709	164	5	.	.	PUNCT
ap-5709	165	1	the	the	DET
ap-5709	165	2	geometrical	geometrical	ADJ
ap-5709	165	3	parameters	parameter	NOUN
ap-5709	165	4	of	of	ADP
ap-5709	165	5	the	the	DET
ap-5709	165	6	analysed	analyse	VERB
ap-5709	165	7	problem	problem	NOUN
ap-5709	165	8	are	be	AUX
ap-5709	165	9	depicted	depict	VERB
ap-5709	165	10	in	in	ADP
ap-5709	165	11	figure	figure	NOUN
ap-5709	165	12	2	2	NUM
ap-5709	165	13	.	.	PUNCT
ap-5709	166	1	the	the	DET
ap-5709	166	2	calculations	calculation	NOUN
ap-5709	166	3	are	be	AUX
ap-5709	166	4	performed	perform	VERB
ap-5709	166	5	on	on	ADP
ap-5709	166	6	the	the	DET
ap-5709	166	7	mesoscale	mesoscale	ADJ
ap-5709	166	8	level	level	NOUN
ap-5709	166	9	for	for	ADP
ap-5709	166	10	three	three	NUM
ap-5709	166	11	different	different	ADJ
ap-5709	166	12	values	value	NOUN
ap-5709	166	13	of	of	ADP
ap-5709	166	14	ε	ε	PROPN
ap-5709	166	15	:	:	PUNCT
ap-5709	166	16	0.1	0.1	NUM
ap-5709	166	17	,	,	PUNCT
ap-5709	166	18	0.05	0.05	NUM
ap-5709	166	19	,	,	PUNCT
ap-5709	166	20	0.01	0.01	NUM
ap-5709	166	21	.	.	PUNCT
ap-5709	167	1	in	in	ADP
ap-5709	167	2	all	all	DET
ap-5709	167	3	the	the	DET
ap-5709	167	4	cases	case	NOUN
ap-5709	167	5	,	,	PUNCT
ap-5709	167	6	we	we	PRON
ap-5709	167	7	use	use	VERB
ap-5709	167	8	the	the	DET
ap-5709	167	9	same	same	ADJ
ap-5709	167	10	finite	finite	ADJ
ap-5709	167	11	element	element	NOUN
ap-5709	167	12	mesh	mesh	NOUN
ap-5709	167	13	of	of	ADP
ap-5709	167	14	500	500	NUM
ap-5709	167	15	elements	element	NOUN
ap-5709	167	16	in	in	ADP
ap-5709	167	17	total	total	NOUN
ap-5709	167	18	with	with	ADP
ap-5709	167	19	∆x	∆x	PROPN
ap-5709	167	20	=	=	SYM
ap-5709	167	21	1	1	NUM
ap-5709	167	22	mm	mm	NOUN
ap-5709	167	23	,	,	PUNCT
ap-5709	167	24	see	see	VERB
ap-5709	167	25	figure	figure	NOUN
ap-5709	167	26	2	2	NUM
ap-5709	167	27	.	.	PUNCT
ap-5709	168	1	the	the	DET
ap-5709	168	2	homogenized	homogenized	ADJ
ap-5709	168	3	problem	problem	NOUN
ap-5709	168	4	is	be	AUX
ap-5709	168	5	solved	solve	VERB
ap-5709	168	6	twice	twice	ADV
ap-5709	168	7	.	.	PUNCT
ap-5709	169	1	once	once	ADV
ap-5709	169	2	with	with	ADP
ap-5709	169	3	the	the	DET
ap-5709	169	4	same	same	ADJ
ap-5709	169	5	mesh	mesh	NOUN
ap-5709	169	6	as	as	ADP
ap-5709	169	7	for	for	ADP
ap-5709	169	8	the	the	DET
ap-5709	169	9	mesoscale	mesoscale	ADJ
ap-5709	169	10	level	level	NOUN
ap-5709	169	11	(	(	PUNCT
ap-5709	169	12	∆x	∆x	PROPN
ap-5709	169	13	=	=	SYM
ap-5709	169	14	1	1	NUM
ap-5709	169	15	mm	mm	NOUN
ap-5709	169	16	)	)	PUNCT
ap-5709	169	17	,	,	PUNCT
ap-5709	169	18	once	once	ADV
ap-5709	169	19	with	with	ADP
ap-5709	169	20	a	a	DET
ap-5709	169	21	coarse	coarse	ADJ
ap-5709	169	22	mesh	mesh	NOUN
ap-5709	169	23	with	with	ADP
ap-5709	169	24	∆x	∆x	PROPN
ap-5709	169	25	=	=	SYM
ap-5709	169	26	25	25	NUM
ap-5709	169	27	mm	mm	NOUN
ap-5709	169	28	.	.	PUNCT
ap-5709	170	1	the	the	DET
ap-5709	170	2	time	time	NOUN
ap-5709	170	3	step	step	NOUN
ap-5709	170	4	is	be	AUX
ap-5709	170	5	set	set	VERB
ap-5709	170	6	to	to	PART
ap-5709	170	7	∆t	∆t	VERB
ap-5709	170	8	=	=	SYM
ap-5709	170	9	30	30	NUM
ap-5709	170	10	s	s	NOUN
ap-5709	170	11	in	in	ADP
ap-5709	170	12	all	all	DET
ap-5709	170	13	cases	case	NOUN
ap-5709	170	14	.	.	PUNCT
ap-5709	171	1	the	the	DET
ap-5709	171	2	obtained	obtain	VERB
ap-5709	171	3	distributions	distribution	NOUN
ap-5709	171	4	of	of	ADP
ap-5709	171	5	water	water	NOUN
ap-5709	171	6	pressure	pressure	NOUN
ap-5709	171	7	across	across	ADP
ap-5709	171	8	the	the	DET
ap-5709	171	9	analysed	analyse	VERB
ap-5709	171	10	structure	structure	NOUN
ap-5709	171	11	are	be	AUX
ap-5709	171	12	displayed	display	VERB
ap-5709	171	13	in	in	ADP
ap-5709	171	14	figure	figure	NOUN
ap-5709	171	15	3	3	NUM
ap-5709	171	16	.	.	PUNCT
ap-5709	172	1	the	the	DET
ap-5709	172	2	temperature	temperature	NOUN
ap-5709	172	3	profiles	profile	NOUN
ap-5709	172	4	are	be	AUX
ap-5709	172	5	depicted	depict	VERB
ap-5709	172	6	in	in	ADP
ap-5709	172	7	figure	figure	NOUN
ap-5709	172	8	4	4	NUM
ap-5709	172	9	.	.	PUNCT
ap-5709	173	1	the	the	DET
ap-5709	173	2	distributions	distribution	NOUN
ap-5709	173	3	of	of	ADP
ap-5709	173	4	hydration	hydration	NOUN
ap-5709	173	5	degree	degree	NOUN
ap-5709	173	6	are	be	AUX
ap-5709	173	7	shown	show	VERB
ap-5709	173	8	in	in	ADP
ap-5709	173	9	figure	figure	NOUN
ap-5709	173	10	5	5	NUM
ap-5709	173	11	.	.	PUNCT
ap-5709	173	12	figure	figure	NOUN
ap-5709	173	13	2	2	NUM
ap-5709	173	14	.	.	PUNCT
ap-5709	174	1	scheme	scheme	NOUN
ap-5709	174	2	of	of	ADP
ap-5709	174	3	the	the	DET
ap-5709	174	4	analysed	analyse	VERB
ap-5709	174	5	problem	problem	NOUN
ap-5709	174	6	,	,	PUNCT
ap-5709	174	7	finite	finite	PROPN
ap-5709	174	8	element	element	NOUN
ap-5709	174	9	(	(	PUNCT
ap-5709	174	10	fe	fe	NOUN
ap-5709	174	11	)	)	PUNCT
ap-5709	174	12	mesh	mesh	NOUN
ap-5709	174	13	,	,	PUNCT
ap-5709	174	14	and	and	CCONJ
ap-5709	174	15	boundary	boundary	ADJ
ap-5709	174	16	conditions	condition	NOUN
ap-5709	174	17	(	(	PUNCT
ap-5709	174	18	bc	bc	PROPN
ap-5709	174	19	)	)	PUNCT
ap-5709	174	20	.	.	PUNCT
ap-5709	175	1	for	for	ADP
ap-5709	175	2	the	the	DET
ap-5709	175	3	detailed	detailed	ADJ
ap-5709	175	4	convergence	convergence	NOUN
ap-5709	175	5	analysis	analysis	NOUN
ap-5709	175	6	,	,	PUNCT
ap-5709	175	7	we	we	PRON
ap-5709	175	8	focus	focus	VERB
ap-5709	175	9	on	on	ADP
ap-5709	175	10	the	the	DET
ap-5709	175	11	resulting	result	VERB
ap-5709	175	12	distributions	distribution	NOUN
ap-5709	175	13	of	of	ADP
ap-5709	175	14	temperature	temperature	NOUN
ap-5709	175	15	and	and	CCONJ
ap-5709	175	16	water	water	NOUN
ap-5709	175	17	pressure	pressure	NOUN
ap-5709	175	18	.	.	PUNCT
ap-5709	176	1	in	in	ADP
ap-5709	176	2	tables	table	NOUN
ap-5709	176	3	1	1	NUM
ap-5709	176	4	and	and	CCONJ
ap-5709	176	5	2	2	NUM
ap-5709	176	6	,	,	PUNCT
ap-5709	176	7	the	the	DET
ap-5709	176	8	differences	difference	NOUN
ap-5709	176	9	between	between	ADP
ap-5709	176	10	the	the	DET
ap-5709	176	11	temperatures	temperature	NOUN
ap-5709	176	12	and	and	CCONJ
ap-5709	176	13	water	water	NOUN
ap-5709	176	14	pressures	pressure	NOUN
ap-5709	176	15	determined	determine	VERB
ap-5709	176	16	by	by	ADP
ap-5709	176	17	the	the	DET
ap-5709	176	18	mesoscale	mesoscale	NOUN
ap-5709	176	19	(	(	PUNCT
ap-5709	176	20	ϑε	ϑε	NOUN
ap-5709	176	21	,	,	PUNCT
ap-5709	176	22	pε	pε	NOUN
ap-5709	176	23	)	)	PUNCT
ap-5709	176	24	and	and	CCONJ
ap-5709	176	25	homogenized	homogenize	VERB
ap-5709	176	26	(	(	PUNCT
ap-5709	176	27	ϑ	ϑ	X
ap-5709	176	28	,	,	PUNCT
ap-5709	176	29	p	p	NOUN
ap-5709	176	30	)	)	PUNCT
ap-5709	176	31	models	model	NOUN
ap-5709	176	32	for	for	ADP
ap-5709	176	33	selected	select	VERB
ap-5709	176	34	times	time	NOUN
ap-5709	176	35	are	be	AUX
ap-5709	176	36	illustrated	illustrate	VERB
ap-5709	176	37	by	by	ADP
ap-5709	176	38	the	the	DET
ap-5709	176	39	respective	respective	ADJ
ap-5709	176	40	l2	l2	NOUN
ap-5709	176	41	error	error	NOUN
ap-5709	176	42	norms	norm	NOUN
ap-5709	176	43	,	,	PUNCT
ap-5709	176	44	see	see	VERB
ap-5709	176	45	[	[	X
ap-5709	176	46	19–23	19–23	NUM
ap-5709	176	47	]	]	PUNCT
ap-5709	176	48	.	.	PUNCT
ap-5709	177	1	ε	ε	PROPN
ap-5709	177	2	‖ϑε	‖ϑε	NUM
ap-5709	178	1	−	−	PROPN
ap-5709	178	2	ϑ‖2	ϑ‖2	NOUN
ap-5709	178	3	(	(	PUNCT
ap-5709	178	4	k	k	PROPN
ap-5709	178	5	m	m	PROPN
ap-5709	178	6	)	)	PUNCT
ap-5709	178	7	t	t	NOUN
ap-5709	178	8	=	=	SYM
ap-5709	178	9	8	8	NUM
ap-5709	178	10	h	h	NOUN
ap-5709	178	11	t	t	NOUN
ap-5709	178	12	=	=	SYM
ap-5709	178	13	16	16	NUM
ap-5709	178	14	h	h	NOUN
ap-5709	178	15	t	t	NOUN
ap-5709	178	16	=	=	SYM
ap-5709	178	17	24	24	NUM
ap-5709	178	18	h	h	NOUN
ap-5709	178	19	0.1	0.1	NUM
ap-5709	178	20	8.9×	8.9×	NUM
ap-5709	178	21	10−3	10−3	NUM
ap-5709	178	22	5.8×	5.8×	NUM
ap-5709	178	23	10−3	10−3	NUM
ap-5709	178	24	2.4×	2.4×	NUM
ap-5709	178	25	10−3	10−3	NUM
ap-5709	178	26	0.05	0.05	NUM
ap-5709	178	27	2.2×	2.2×	NUM
ap-5709	178	28	10−3	10−3	NUM
ap-5709	178	29	1.5×	1.5×	NUM
ap-5709	178	30	10−3	10−3	NUM
ap-5709	178	31	7.6×	7.6×	NUM
ap-5709	178	32	10−4	10−4	NUM
ap-5709	178	33	0.01	0.01	NUM
ap-5709	178	34	8.3×	8.3×	NUM
ap-5709	178	35	10−5	10−5	NUM
ap-5709	178	36	7.9×	7.9×	NUM
ap-5709	178	37	10−5	10−5	NUM
ap-5709	178	38	1.0×	1.0×	NUM
ap-5709	178	39	10−4	10−4	NUM
ap-5709	178	40	table	table	NOUN
ap-5709	178	41	1	1	NUM
ap-5709	178	42	.	.	PUNCT
ap-5709	178	43	error	error	NOUN
ap-5709	178	44	norms	norm	NOUN
ap-5709	178	45	for	for	ADP
ap-5709	178	46	the	the	DET
ap-5709	178	47	temperature	temperature	NOUN
ap-5709	178	48	determined	determine	VERB
ap-5709	178	49	by	by	ADP
ap-5709	178	50	the	the	DET
ap-5709	178	51	mesoscale	mesoscale	ADJ
ap-5709	178	52	and	and	CCONJ
ap-5709	178	53	homogenized	homogenized	ADJ
ap-5709	178	54	models	model	NOUN
ap-5709	178	55	for	for	ADP
ap-5709	178	56	selected	select	VERB
ap-5709	178	57	times	time	NOUN
ap-5709	178	58	.	.	PUNCT
ap-5709	179	1	ε	ε	PROPN
ap-5709	179	2	‖pε	‖pε	NUM
ap-5709	179	3	−	−	PROPN
ap-5709	179	4	p‖2	p‖2	PROPN
ap-5709	179	5	(	(	PUNCT
ap-5709	179	6	pa	pa	PROPN
ap-5709	179	7	m	m	PROPN
ap-5709	179	8	)	)	PUNCT
ap-5709	179	9	t	t	NOUN
ap-5709	179	10	=	=	SYM
ap-5709	179	11	8	8	NUM
ap-5709	179	12	h	h	NOUN
ap-5709	179	13	t	t	NOUN
ap-5709	179	14	=	=	SYM
ap-5709	179	15	16	16	NUM
ap-5709	179	16	h	h	NOUN
ap-5709	179	17	t	t	NOUN
ap-5709	179	18	=	=	SYM
ap-5709	179	19	24	24	NUM
ap-5709	179	20	h	h	NOUN
ap-5709	179	21	0.1	0.1	NUM
ap-5709	179	22	2560.0	2560.0	NUM
ap-5709	179	23	1520.0	1520.0	NUM
ap-5709	179	24	819.8	819.8	NUM
ap-5709	179	25	0.05	0.05	NUM
ap-5709	179	26	734.9	734.9	NUM
ap-5709	179	27	358.4	358.4	NUM
ap-5709	179	28	197.9	197.9	NUM
ap-5709	179	29	0.01	0.01	NUM
ap-5709	179	30	29.9	29.9	NUM
ap-5709	179	31	14.5	14.5	NUM
ap-5709	179	32	9.3	9.3	NUM
ap-5709	179	33	table	table	NOUN
ap-5709	179	34	2	2	NUM
ap-5709	179	35	.	.	X
ap-5709	179	36	error	error	NOUN
ap-5709	179	37	norms	norm	NOUN
ap-5709	179	38	for	for	ADP
ap-5709	179	39	the	the	DET
ap-5709	179	40	water	water	NOUN
ap-5709	179	41	pressure	pressure	NOUN
ap-5709	179	42	determined	determine	VERB
ap-5709	179	43	by	by	ADP
ap-5709	179	44	the	the	DET
ap-5709	179	45	mesoscale	mesoscale	ADJ
ap-5709	179	46	and	and	CCONJ
ap-5709	179	47	homogenized	homogenized	ADJ
ap-5709	179	48	models	model	NOUN
ap-5709	179	49	for	for	ADP
ap-5709	179	50	selected	select	VERB
ap-5709	179	51	times	time	NOUN
ap-5709	179	52	.	.	PUNCT
ap-5709	180	1	from	from	ADP
ap-5709	180	2	figures	figure	NOUN
ap-5709	180	3	4–3	4–3	NUM
ap-5709	180	4	and	and	CCONJ
ap-5709	180	5	tables	table	NOUN
ap-5709	180	6	1	1	NUM
ap-5709	180	7	and	and	CCONJ
ap-5709	180	8	2	2	NUM
ap-5709	180	9	,	,	PUNCT
ap-5709	180	10	it	it	PRON
ap-5709	180	11	is	be	AUX
ap-5709	180	12	clear	clear	ADJ
ap-5709	180	13	that	that	SCONJ
ap-5709	180	14	with	with	SCONJ
ap-5709	180	15	the	the	DET
ap-5709	180	16	decreasing	decrease	VERB
ap-5709	180	17	value	value	NOUN
ap-5709	180	18	of	of	ADP
ap-5709	180	19	ε	ε	PROPN
ap-5709	180	20	,	,	PUNCT
ap-5709	180	21	the	the	DET
ap-5709	180	22	mesoscale	mesoscale	ADJ
ap-5709	180	23	solution	solution	NOUN
ap-5709	180	24	converges	converge	VERB
ap-5709	180	25	towards	towards	ADP
ap-5709	180	26	the	the	DET
ap-5709	180	27	homogenized	homogenized	ADJ
ap-5709	180	28	problem	problem	NOUN
ap-5709	180	29	solution	solution	NOUN
ap-5709	180	30	.	.	PUNCT
ap-5709	181	1	moreover	moreover	ADV
ap-5709	181	2	,	,	PUNCT
ap-5709	181	3	it	it	PRON
ap-5709	181	4	can	can	AUX
ap-5709	181	5	be	be	AUX
ap-5709	181	6	seen	see	VERB
ap-5709	181	7	that	that	SCONJ
ap-5709	181	8	for	for	ADP
ap-5709	181	9	the	the	DET
ap-5709	181	10	homogenized	homogenized	ADJ
ap-5709	181	11	problem	problem	NOUN
ap-5709	181	12	,	,	PUNCT
ap-5709	181	13	a	a	DET
ap-5709	181	14	coarse	coarse	ADJ
ap-5709	181	15	finite	finite	NOUN
ap-5709	181	16	element	element	NOUN
ap-5709	181	17	mesh	mesh	NOUN
ap-5709	181	18	provides	provide	VERB
ap-5709	181	19	almost	almost	ADV
ap-5709	181	20	the	the	DET
ap-5709	181	21	same	same	ADJ
ap-5709	181	22	results	result	NOUN
ap-5709	181	23	as	as	ADP
ap-5709	181	24	a	a	DET
ap-5709	181	25	fine	fine	ADJ
ap-5709	181	26	mesh	mesh	NOUN
ap-5709	181	27	.	.	PUNCT
ap-5709	182	1	5.2	5.2	NUM
ap-5709	182	2	.	.	PUNCT
ap-5709	183	1	illustrative	illustrative	ADJ
ap-5709	183	2	example	example	NOUN
ap-5709	183	3	–	–	PUNCT
ap-5709	183	4	concrete	concrete	ADJ
ap-5709	183	5	column	column	NOUN
ap-5709	183	6	cross	cross	NOUN
ap-5709	183	7	-	-	NOUN
ap-5709	183	8	section	section	NOUN
ap-5709	183	9	in	in	ADP
ap-5709	183	10	the	the	DET
ap-5709	183	11	second	second	ADJ
ap-5709	183	12	example	example	NOUN
ap-5709	183	13	,	,	PUNCT
ap-5709	183	14	the	the	DET
ap-5709	183	15	hydration	hydration	NOUN
ap-5709	183	16	and	and	CCONJ
ap-5709	183	17	transport	transport	NOUN
ap-5709	183	18	processes	process	NOUN
ap-5709	183	19	in	in	ADP
ap-5709	183	20	a	a	DET
ap-5709	183	21	concrete	concrete	ADJ
ap-5709	183	22	column	column	NOUN
ap-5709	183	23	of	of	ADP
ap-5709	183	24	a	a	DET
ap-5709	183	25	square	square	ADJ
ap-5709	183	26	crosssection	crosssection	NOUN
ap-5709	183	27	are	be	AUX
ap-5709	183	28	simulated	simulate	VERB
ap-5709	183	29	.	.	PUNCT
ap-5709	184	1	the	the	DET
ap-5709	184	2	objective	objective	NOUN
ap-5709	184	3	of	of	ADP
ap-5709	184	4	the	the	DET
ap-5709	184	5	example	example	NOUN
ap-5709	184	6	is	be	AUX
ap-5709	184	7	to	to	PART
ap-5709	184	8	illustrate	illustrate	VERB
ap-5709	184	9	the	the	DET
ap-5709	184	10	usage	usage	NOUN
ap-5709	184	11	of	of	ADP
ap-5709	184	12	the	the	DET
ap-5709	184	13	numerical	numerical	ADJ
ap-5709	184	14	procedures	procedure	NOUN
ap-5709	184	15	16	16	NUM
ap-5709	184	16	vol	vol	NOUN
ap-5709	184	17	.	.	PUNCT
ap-5709	185	1	60	60	NUM
ap-5709	185	2	no	no	INTJ
ap-5709	185	3	.	.	PUNCT
ap-5709	186	1	1/2020	1/2020	NUM
ap-5709	186	2	homogenization	homogenization	NOUN
ap-5709	186	3	of	of	ADP
ap-5709	186	4	transport	transport	NOUN
ap-5709	186	5	processes	process	NOUN
ap-5709	186	6	and	and	CCONJ
ap-5709	186	7	hydration	hydration	NOUN
ap-5709	186	8	phenomena	phenomenon	NOUN
ap-5709	186	9	.	.	PUNCT
ap-5709	186	10	.	.	PUNCT
ap-5709	187	1	.	.	PUNCT
ap-5709	188	1	0	0	NUM
ap-5709	189	1	100	100	NUM
ap-5709	189	2	200	200	NUM
ap-5709	189	3	300	300	NUM
ap-5709	189	4	400	400	NUM
ap-5709	189	5	500	500	NUM
ap-5709	189	6	x1	x1	NOUN
ap-5709	189	7	(	(	PUNCT
ap-5709	189	8	mm	mm	NOUN
ap-5709	189	9	)	)	PUNCT
ap-5709	189	10	-2.7	-2.7	PROPN
ap-5709	189	11	-2.6	-2.6	PROPN
ap-5709	189	12	-2.5	-2.5	PROPN
ap-5709	189	13	-2.4	-2.4	PROPN
ap-5709	189	14	-2.3	-2.3	PROPN
ap-5709	189	15	w	w	PROPN
ap-5709	189	16	a	a	DET
ap-5709	189	17	te	te	ADP
ap-5709	189	18	r	r	NOUN
ap-5709	189	19	p	p	NOUN
ap-5709	189	20	re	re	ADP
ap-5709	189	21	ss	ss	NOUN
ap-5709	189	22	u	u	NOUN
ap-5709	189	23	re	re	X
ap-5709	189	24	(	(	PUNCT
ap-5709	189	25	p	p	X
ap-5709	189	26	a	a	NOUN
ap-5709	189	27	)	)	PUNCT
ap-5709	189	28	#	#	SYM
ap-5709	189	29	106	106	NUM
ap-5709	189	30	t	t	NOUN
ap-5709	189	31	=	=	SYM
ap-5709	189	32	8	8	NUM
ap-5709	189	33	h	h	NOUN
ap-5709	189	34	p	p	X
ap-5709	189	35	"	"	PUNCT
ap-5709	189	36	,	,	PUNCT
ap-5709	189	37	"	"	PUNCT
ap-5709	189	38	=	=	SYM
ap-5709	189	39	0:1	0:1	NUM
ap-5709	190	1	p	p	X
ap-5709	190	2	"	"	PUNCT
ap-5709	190	3	,	,	PUNCT
ap-5709	190	4	"	"	PUNCT
ap-5709	190	5	=	=	SYM
ap-5709	190	6	0:05	0:05	NUM
ap-5709	190	7	p	p	X
ap-5709	190	8	"	"	PUNCT
ap-5709	190	9	,	,	PUNCT
ap-5709	190	10	"	"	PUNCT
ap-5709	190	11	=	=	SYM
ap-5709	190	12	0:01	0:01	VERB
ap-5709	190	13	p	p	NOUN
ap-5709	190	14	,	,	PUNCT
ap-5709	190	15	-ne	-ne	NOUN
ap-5709	190	16	mesh	mesh	NOUN
ap-5709	190	17	p	p	NOUN
ap-5709	190	18	,	,	PUNCT
ap-5709	190	19	coarse	coarse	ADJ
ap-5709	190	20	mesh	mesh	NOUN
ap-5709	190	21	0	0	NUM
ap-5709	190	22	100	100	NUM
ap-5709	190	23	200	200	NUM
ap-5709	190	24	300	300	NUM
ap-5709	190	25	400	400	NUM
ap-5709	190	26	500	500	NUM
ap-5709	190	27	x1	x1	NOUN
ap-5709	190	28	(	(	PUNCT
ap-5709	190	29	mm	mm	NOUN
ap-5709	190	30	)	)	PUNCT
ap-5709	190	31	-3.85	-3.85	NUM
ap-5709	191	1	-3.8	-3.8	PROPN
ap-5709	191	2	-3.75	-3.75	PROPN
ap-5709	191	3	-3.7	-3.7	PROPN
ap-5709	191	4	-3.65	-3.65	ADP
ap-5709	191	5	-3.6	-3.6	PROPN
ap-5709	191	6	-3.55	-3.55	PROPN
ap-5709	191	7	-3.5	-3.5	PROPN
ap-5709	191	8	w	w	ADP
ap-5709	191	9	a	a	DET
ap-5709	191	10	te	te	ADP
ap-5709	191	11	r	r	NOUN
ap-5709	191	12	p	p	NOUN
ap-5709	191	13	re	re	ADP
ap-5709	191	14	ss	ss	NOUN
ap-5709	191	15	u	u	NOUN
ap-5709	191	16	re	re	X
ap-5709	191	17	(	(	PUNCT
ap-5709	191	18	p	p	X
ap-5709	191	19	a	a	NOUN
ap-5709	191	20	)	)	PUNCT
ap-5709	191	21	#	#	SYM
ap-5709	191	22	106	106	NUM
ap-5709	191	23	t	t	NOUN
ap-5709	191	24	=	=	SYM
ap-5709	191	25	16	16	NUM
ap-5709	191	26	h	h	NOUN
ap-5709	191	27	p	p	X
ap-5709	191	28	"	"	PUNCT
ap-5709	191	29	,	,	PUNCT
ap-5709	191	30	"	"	PUNCT
ap-5709	191	31	=	=	SYM
ap-5709	191	32	0:1	0:1	NUM
ap-5709	191	33	p	p	X
ap-5709	191	34	"	"	PUNCT
ap-5709	191	35	,	,	PUNCT
ap-5709	191	36	"	"	PUNCT
ap-5709	191	37	=	=	SYM
ap-5709	191	38	0:05	0:05	NUM
ap-5709	191	39	p	p	X
ap-5709	191	40	"	"	PUNCT
ap-5709	191	41	,	,	PUNCT
ap-5709	191	42	"	"	PUNCT
ap-5709	191	43	=	=	SYM
ap-5709	191	44	0:01	0:01	VERB
ap-5709	191	45	p	p	NOUN
ap-5709	191	46	,	,	PUNCT
ap-5709	191	47	-ne	-ne	NOUN
ap-5709	191	48	mesh	mesh	NOUN
ap-5709	191	49	p	p	NOUN
ap-5709	191	50	,	,	PUNCT
ap-5709	191	51	coarse	coarse	ADJ
ap-5709	191	52	mesh	mesh	NOUN
ap-5709	191	53	0	0	NUM
ap-5709	191	54	100	100	NUM
ap-5709	191	55	200	200	NUM
ap-5709	191	56	300	300	NUM
ap-5709	191	57	400	400	NUM
ap-5709	191	58	500	500	NUM
ap-5709	191	59	x1	x1	NOUN
ap-5709	191	60	(	(	PUNCT
ap-5709	191	61	mm	mm	NOUN
ap-5709	191	62	)	)	PUNCT
ap-5709	191	63	-4.35	-4.35	PROPN
ap-5709	191	64	-4.3	-4.3	PROPN
ap-5709	191	65	-4.25	-4.25	PROPN
ap-5709	191	66	-4.2	-4.2	PROPN
ap-5709	191	67	-4.15	-4.15	PROPN
ap-5709	191	68	-4.1	-4.1	PROPN
ap-5709	191	69	w	w	ADP
ap-5709	191	70	a	a	PRON
ap-5709	191	71	te	te	ADP
ap-5709	191	72	r	r	NOUN
ap-5709	191	73	p	p	NOUN
ap-5709	191	74	re	re	ADP
ap-5709	191	75	ss	ss	NOUN
ap-5709	191	76	u	u	NOUN
ap-5709	191	77	re	re	X
ap-5709	191	78	(	(	PUNCT
ap-5709	191	79	p	p	X
ap-5709	191	80	a	a	NOUN
ap-5709	191	81	)	)	PUNCT
ap-5709	191	82	#	#	SYM
ap-5709	191	83	106	106	NUM
ap-5709	191	84	t	t	NOUN
ap-5709	191	85	=	=	SYM
ap-5709	191	86	24	24	NUM
ap-5709	191	87	h	h	NOUN
ap-5709	191	88	p	p	X
ap-5709	191	89	"	"	PUNCT
ap-5709	191	90	,	,	PUNCT
ap-5709	191	91	"	"	PUNCT
ap-5709	191	92	=	=	SYM
ap-5709	191	93	0:1	0:1	NUM
ap-5709	192	1	p	p	X
ap-5709	192	2	"	"	PUNCT
ap-5709	192	3	,	,	PUNCT
ap-5709	192	4	"	"	PUNCT
ap-5709	192	5	=	=	SYM
ap-5709	192	6	0:05	0:05	NUM
ap-5709	192	7	p	p	X
ap-5709	192	8	"	"	PUNCT
ap-5709	192	9	,	,	PUNCT
ap-5709	192	10	"	"	PUNCT
ap-5709	192	11	=	=	SYM
ap-5709	192	12	0:01	0:01	VERB
ap-5709	192	13	p	p	NOUN
ap-5709	192	14	,	,	PUNCT
ap-5709	192	15	-ne	-ne	NOUN
ap-5709	192	16	mesh	mesh	NOUN
ap-5709	192	17	p	p	NOUN
ap-5709	192	18	,	,	PUNCT
ap-5709	192	19	coarse	coarse	ADJ
ap-5709	192	20	mesh	mesh	NOUN
ap-5709	192	21	figure	figure	NOUN
ap-5709	192	22	3	3	NUM
ap-5709	192	23	.	.	PUNCT
ap-5709	193	1	distribution	distribution	NOUN
ap-5709	193	2	of	of	ADP
ap-5709	193	3	water	water	NOUN
ap-5709	193	4	pressure	pressure	NOUN
ap-5709	193	5	across	across	ADP
ap-5709	193	6	the	the	DET
ap-5709	193	7	analysed	analyse	VERB
ap-5709	193	8	structure	structure	NOUN
ap-5709	193	9	.	.	PUNCT
ap-5709	194	1	for	for	ADP
ap-5709	194	2	the	the	DET
ap-5709	194	3	determination	determination	NOUN
ap-5709	194	4	of	of	ADP
ap-5709	194	5	the	the	DET
ap-5709	194	6	homogenized	homogenized	ADJ
ap-5709	194	7	material	material	NOUN
ap-5709	194	8	parameters	parameter	NOUN
ap-5709	194	9	,	,	PUNCT
ap-5709	194	10	as	as	SCONJ
ap-5709	194	11	described	describe	VERB
ap-5709	194	12	in	in	ADP
ap-5709	194	13	section	section	NOUN
ap-5709	194	14	4.2	4.2	NUM
ap-5709	194	15	.	.	PUNCT
ap-5709	195	1	the	the	DET
ap-5709	195	2	scheme	scheme	NOUN
ap-5709	195	3	of	of	ADP
ap-5709	195	4	the	the	DET
ap-5709	195	5	analysed	analyse	VERB
ap-5709	195	6	problem	problem	NOUN
ap-5709	195	7	is	be	AUX
ap-5709	195	8	depicted	depict	VERB
ap-5709	195	9	in	in	ADP
ap-5709	195	10	figure	figure	NOUN
ap-5709	195	11	6	6	NUM
ap-5709	195	12	.	.	PUNCT
ap-5709	196	1	as	as	SCONJ
ap-5709	196	2	can	can	AUX
ap-5709	196	3	be	be	AUX
ap-5709	196	4	seen	see	VERB
ap-5709	196	5	from	from	ADP
ap-5709	196	6	figure	figure	NOUN
ap-5709	196	7	6	6	NUM
ap-5709	196	8	,	,	PUNCT
ap-5709	196	9	we	we	PRON
ap-5709	196	10	assume	assume	VERB
ap-5709	196	11	two	two	NUM
ap-5709	196	12	variants	variant	NOUN
ap-5709	196	13	of	of	ADP
ap-5709	196	14	the	the	DET
ap-5709	196	15	aggregate	aggregate	ADJ
ap-5709	196	16	shape	shape	NOUN
ap-5709	196	17	:	:	PUNCT
ap-5709	196	18	square	square	NOUN
ap-5709	196	19	(	(	PUNCT
ap-5709	196	20	denoted	denote	VERB
ap-5709	196	21	as	as	ADP
ap-5709	196	22	variant	variant	NOUN
ap-5709	196	23	s	s	NOUN
ap-5709	196	24	)	)	PUNCT
ap-5709	196	25	and	and	CCONJ
ap-5709	196	26	rectangle	rectangle	NOUN
ap-5709	196	27	(	(	PUNCT
ap-5709	196	28	denoted	denote	VERB
ap-5709	196	29	as	as	ADP
ap-5709	196	30	variant	variant	NOUN
ap-5709	196	31	r	r	NOUN
ap-5709	196	32	)	)	PUNCT
ap-5709	196	33	.	.	PUNCT
ap-5709	197	1	on	on	ADP
ap-5709	197	2	the	the	DET
ap-5709	197	3	mesoscale	mesoscale	ADJ
ap-5709	197	4	level	level	NOUN
ap-5709	197	5	,	,	PUNCT
ap-5709	197	6	the	the	DET
ap-5709	197	7	simulations	simulation	NOUN
ap-5709	197	8	are	be	AUX
ap-5709	197	9	performed	perform	VERB
ap-5709	197	10	for	for	ADP
ap-5709	197	11	ε	ε	PROPN
ap-5709	197	12	=	=	PUNCT
ap-5709	197	13	0.025	0.025	NUM
ap-5709	197	14	,	,	PUNCT
ap-5709	197	15	i.e.	i.e.	X
ap-5709	197	16	with	with	ADP
ap-5709	197	17	8	8	NUM
ap-5709	197	18	×	×	NOUN
ap-5709	197	19	8	8	NUM
ap-5709	197	20	cells	cell	NOUN
ap-5709	197	21	for	for	ADP
ap-5709	197	22	the	the	DET
ap-5709	197	23	analysed	analyse	VERB
ap-5709	197	24	section	section	NOUN
ap-5709	197	25	.	.	PUNCT
ap-5709	198	1	in	in	ADP
ap-5709	198	2	both	both	DET
ap-5709	198	3	cases	case	NOUN
ap-5709	198	4	(	(	PUNCT
ap-5709	198	5	variants	variant	NOUN
ap-5709	198	6	s	s	NOUN
ap-5709	198	7	and	and	CCONJ
ap-5709	198	8	r	r	NOUN
ap-5709	198	9	)	)	PUNCT
ap-5709	198	10	,	,	PUNCT
ap-5709	198	11	0	0	NUM
ap-5709	198	12	100	100	NUM
ap-5709	198	13	200	200	NUM
ap-5709	198	14	300	300	NUM
ap-5709	198	15	400	400	NUM
ap-5709	198	16	500	500	NUM
ap-5709	198	17	x1	x1	NOUN
ap-5709	198	18	(	(	PUNCT
ap-5709	198	19	mm	mm	NOUN
ap-5709	198	20	)	)	PUNCT
ap-5709	198	21	29	29	NUM
ap-5709	198	22	29.5	29.5	NUM
ap-5709	198	23	30	30	NUM
ap-5709	198	24	30.5	30.5	NUM
ap-5709	198	25	31	31	NUM
ap-5709	198	26	31.5	31.5	NUM
ap-5709	198	27	32	32	NUM
ap-5709	198	28	t	t	NOUN
ap-5709	198	29	em	em	PRON
ap-5709	198	30	p	p	X
ap-5709	198	31	er	er	INTJ
ap-5709	198	32	a	a	DET
ap-5709	198	33	tu	tu	PROPN
ap-5709	198	34	re	re	X
ap-5709	198	35	(	(	PUNCT
ap-5709	198	36	/	/	SYM
ap-5709	198	37	c	c	NOUN
ap-5709	198	38	)	)	PUNCT
ap-5709	198	39	t	t	NOUN
ap-5709	199	1	=	=	SYM
ap-5709	199	2	8	8	NUM
ap-5709	199	3	h	h	NOUN
ap-5709	199	4	#	#	NOUN
ap-5709	199	5	"	"	PUNCT
ap-5709	199	6	,	,	PUNCT
ap-5709	199	7	"	"	PUNCT
ap-5709	199	8	=	=	SYM
ap-5709	199	9	0:1	0:1	NUM
ap-5709	199	10	#	#	NOUN
ap-5709	199	11	"	"	PUNCT
ap-5709	199	12	,	,	PUNCT
ap-5709	199	13	"	"	PUNCT
ap-5709	199	14	=	=	SYM
ap-5709	199	15	0:05	0:05	NUM
ap-5709	199	16	#	#	NOUN
ap-5709	199	17	"	"	PUNCT
ap-5709	199	18	,	,	PUNCT
ap-5709	199	19	"	"	PUNCT
ap-5709	199	20	=	=	SYM
ap-5709	199	21	0:01	0:01	VERB
ap-5709	199	22	#	#	ADP
ap-5709	199	23	,	,	PUNCT
ap-5709	199	24	-ne	-ne	NOUN
ap-5709	199	25	mesh	mesh	NOUN
ap-5709	199	26	#	#	NOUN
ap-5709	199	27	,	,	PUNCT
ap-5709	199	28	coarse	coarse	ADJ
ap-5709	199	29	mesh	mesh	NOUN
ap-5709	199	30	0	0	NUM
ap-5709	199	31	100	100	NUM
ap-5709	199	32	200	200	NUM
ap-5709	199	33	300	300	NUM
ap-5709	199	34	400	400	NUM
ap-5709	199	35	500	500	NUM
ap-5709	199	36	x1	x1	NOUN
ap-5709	199	37	(	(	PUNCT
ap-5709	199	38	mm	mm	NOUN
ap-5709	199	39	)	)	PUNCT
ap-5709	199	40	42	42	NUM
ap-5709	199	41	44	44	NUM
ap-5709	199	42	46	46	NUM
ap-5709	199	43	48	48	NUM
ap-5709	199	44	50	50	NUM
ap-5709	199	45	52	52	NUM
ap-5709	199	46	t	t	NOUN
ap-5709	199	47	em	em	PRON
ap-5709	200	1	p	p	X
ap-5709	201	1	er	er	INTJ
ap-5709	201	2	a	a	DET
ap-5709	201	3	tu	tu	PROPN
ap-5709	201	4	re	re	X
ap-5709	201	5	(	(	PUNCT
ap-5709	201	6	/	/	SYM
ap-5709	201	7	c	c	NOUN
ap-5709	201	8	)	)	PUNCT
ap-5709	201	9	t	t	NOUN
ap-5709	202	1	=	=	SYM
ap-5709	202	2	16	16	NUM
ap-5709	202	3	h	h	NOUN
ap-5709	202	4	#	#	NOUN
ap-5709	202	5	"	"	PUNCT
ap-5709	202	6	,	,	PUNCT
ap-5709	202	7	"	"	PUNCT
ap-5709	202	8	=	=	SYM
ap-5709	202	9	0:1	0:1	NUM
ap-5709	202	10	#	#	NOUN
ap-5709	202	11	"	"	PUNCT
ap-5709	202	12	,	,	PUNCT
ap-5709	202	13	"	"	PUNCT
ap-5709	202	14	=	=	SYM
ap-5709	202	15	0:05	0:05	NUM
ap-5709	202	16	#	#	NOUN
ap-5709	202	17	"	"	PUNCT
ap-5709	202	18	,	,	PUNCT
ap-5709	202	19	"	"	PUNCT
ap-5709	202	20	=	=	SYM
ap-5709	202	21	0:01	0:01	VERB
ap-5709	202	22	#	#	ADP
ap-5709	202	23	,	,	PUNCT
ap-5709	202	24	-ne	-ne	NOUN
ap-5709	202	25	mesh	mesh	NOUN
ap-5709	202	26	#	#	NOUN
ap-5709	202	27	,	,	PUNCT
ap-5709	202	28	coarse	coarse	ADJ
ap-5709	202	29	mesh	mesh	NOUN
ap-5709	202	30	0	0	NUM
ap-5709	202	31	100	100	NUM
ap-5709	202	32	200	200	NUM
ap-5709	202	33	300	300	NUM
ap-5709	202	34	400	400	NUM
ap-5709	202	35	500	500	NUM
ap-5709	203	1	x1	x1	NOUN
ap-5709	204	1	(	(	PUNCT
ap-5709	204	2	mm	mm	NOUN
ap-5709	204	3	)	)	PUNCT
ap-5709	204	4	46	46	NUM
ap-5709	204	5	48	48	NUM
ap-5709	204	6	50	50	NUM
ap-5709	204	7	52	52	NUM
ap-5709	204	8	54	54	NUM
ap-5709	204	9	56	56	NUM
ap-5709	204	10	58	58	NUM
ap-5709	204	11	60	60	NUM
ap-5709	204	12	t	t	NOUN
ap-5709	204	13	em	em	PRON
ap-5709	204	14	p	p	X
ap-5709	204	15	er	er	INTJ
ap-5709	204	16	a	a	DET
ap-5709	204	17	tu	tu	PROPN
ap-5709	204	18	re	re	X
ap-5709	204	19	(	(	PUNCT
ap-5709	204	20	/	/	SYM
ap-5709	204	21	c	c	NOUN
ap-5709	204	22	)	)	PUNCT
ap-5709	204	23	t	t	NOUN
ap-5709	204	24	=	=	SYM
ap-5709	204	25	24	24	NUM
ap-5709	204	26	h	h	NOUN
ap-5709	204	27	#	#	NOUN
ap-5709	204	28	"	"	PUNCT
ap-5709	204	29	,	,	PUNCT
ap-5709	204	30	"	"	PUNCT
ap-5709	204	31	=	=	SYM
ap-5709	204	32	0:1	0:1	NUM
ap-5709	204	33	#	#	NOUN
ap-5709	204	34	"	"	PUNCT
ap-5709	204	35	,	,	PUNCT
ap-5709	204	36	"	"	PUNCT
ap-5709	204	37	=	=	SYM
ap-5709	204	38	0:05	0:05	NUM
ap-5709	204	39	#	#	NOUN
ap-5709	204	40	"	"	PUNCT
ap-5709	204	41	,	,	PUNCT
ap-5709	204	42	"	"	PUNCT
ap-5709	204	43	=	=	SYM
ap-5709	204	44	0:01	0:01	VERB
ap-5709	204	45	#	#	ADP
ap-5709	204	46	,	,	PUNCT
ap-5709	204	47	-ne	-ne	NOUN
ap-5709	204	48	mesh	mesh	NOUN
ap-5709	204	49	#	#	NOUN
ap-5709	204	50	,	,	PUNCT
ap-5709	204	51	coarse	coarse	ADJ
ap-5709	204	52	mesh	mesh	NOUN
ap-5709	204	53	figure	figure	NOUN
ap-5709	204	54	4	4	NUM
ap-5709	204	55	.	.	PUNCT
ap-5709	205	1	distribution	distribution	NOUN
ap-5709	205	2	of	of	ADP
ap-5709	205	3	temperature	temperature	NOUN
ap-5709	205	4	across	across	ADP
ap-5709	205	5	the	the	DET
ap-5709	205	6	analysed	analyse	VERB
ap-5709	205	7	structure	structure	NOUN
ap-5709	205	8	.	.	PUNCT
ap-5709	206	1	we	we	PRON
ap-5709	206	2	use	use	VERB
ap-5709	206	3	the	the	DET
ap-5709	206	4	same	same	ADJ
ap-5709	206	5	finite	finite	ADJ
ap-5709	206	6	element	element	NOUN
ap-5709	206	7	mesh	mesh	NOUN
ap-5709	206	8	of	of	ADP
ap-5709	206	9	square	square	ADJ
ap-5709	206	10	elements	element	NOUN
ap-5709	206	11	of	of	ADP
ap-5709	206	12	the	the	DET
ap-5709	206	13	size	size	NOUN
ap-5709	206	14	of	of	ADP
ap-5709	206	15	2.5	2.5	NUM
ap-5709	206	16	mm	mm	NOUN
ap-5709	206	17	(	(	PUNCT
ap-5709	206	18	6400	6400	NUM
ap-5709	206	19	elements	element	NOUN
ap-5709	206	20	in	in	ADP
ap-5709	206	21	total	total	NOUN
ap-5709	206	22	)	)	PUNCT
ap-5709	206	23	,	,	PUNCT
ap-5709	206	24	see	see	VERB
ap-5709	206	25	figure	figure	NOUN
ap-5709	206	26	7	7	NUM
ap-5709	206	27	.	.	PUNCT
ap-5709	206	28	for	for	ADP
ap-5709	206	29	the	the	DET
ap-5709	206	30	homogenized	homogenized	ADJ
ap-5709	206	31	model	model	NOUN
ap-5709	206	32	,	,	PUNCT
ap-5709	206	33	a	a	DET
ap-5709	206	34	finite	finite	ADJ
ap-5709	206	35	element	element	NOUN
ap-5709	206	36	mesh	mesh	NOUN
ap-5709	206	37	of	of	ADP
ap-5709	206	38	10×	10×	NOUN
ap-5709	206	39	10	10	NUM
ap-5709	206	40	square	square	ADJ
ap-5709	206	41	elements	element	NOUN
ap-5709	206	42	is	be	AUX
ap-5709	206	43	used	use	VERB
ap-5709	206	44	on	on	ADP
ap-5709	206	45	the	the	DET
ap-5709	206	46	macroscale	macroscale	ADJ
ap-5709	206	47	level	level	NOUN
ap-5709	206	48	(	(	PUNCT
ap-5709	206	49	element	element	NOUN
ap-5709	206	50	size	size	NOUN
ap-5709	206	51	of	of	ADP
ap-5709	206	52	20	20	NUM
ap-5709	206	53	mm	mm	NOUN
ap-5709	206	54	)	)	PUNCT
ap-5709	206	55	.	.	PUNCT
ap-5709	207	1	the	the	DET
ap-5709	207	2	homogenized	homogenize	VERB
ap-5709	207	3	material	material	NOUN
ap-5709	207	4	parameters	parameter	NOUN
ap-5709	207	5	are	be	AUX
ap-5709	207	6	determined	determine	VERB
ap-5709	207	7	using	use	VERB
ap-5709	207	8	two	two	NUM
ap-5709	207	9	different	different	ADJ
ap-5709	207	10	approaches	approach	NOUN
ap-5709	207	11	(	(	PUNCT
ap-5709	207	12	see	see	VERB
ap-5709	207	13	section	section	NOUN
ap-5709	207	14	4.2	4.2	NUM
ap-5709	207	15	):	):	PUNCT
ap-5709	207	16	(	(	PUNCT
ap-5709	207	17	i	i	NOUN
ap-5709	207	18	)	)	PUNCT
ap-5709	207	19	using	use	VERB
ap-5709	207	20	the	the	DET
ap-5709	207	21	finite	finite	ADJ
ap-5709	207	22	element	element	NOUN
ap-5709	207	23	solution	solution	NOUN
ap-5709	207	24	of	of	ADP
ap-5709	207	25	the	the	DET
ap-5709	207	26	periodic	periodic	ADJ
ap-5709	207	27	cell	cell	NOUN
ap-5709	207	28	problem	problem	NOUN
ap-5709	207	29	with	with	ADP
ap-5709	207	30	the	the	DET
ap-5709	207	31	17	17	NUM
ap-5709	207	32	michal	michal	NOUN
ap-5709	207	33	beneš	beneš	PROPN
ap-5709	207	34	,	,	PUNCT
ap-5709	207	35	radek	radek	PROPN
ap-5709	207	36	štefan	štefan	PROPN
ap-5709	207	37	acta	acta	PROPN
ap-5709	207	38	polytechnica	polytechnica	PROPN
ap-5709	207	39	0	0	NUM
ap-5709	207	40	100	100	NUM
ap-5709	207	41	200	200	NUM
ap-5709	207	42	300	300	NUM
ap-5709	207	43	400	400	NUM
ap-5709	207	44	500	500	NUM
ap-5709	207	45	x1	x1	NOUN
ap-5709	207	46	(	(	PUNCT
ap-5709	207	47	mm	mm	NOUN
ap-5709	207	48	)	)	PUNCT
ap-5709	207	49	0	0	NUM
ap-5709	208	1	0.05	0.05	NUM
ap-5709	208	2	0.1	0.1	NUM
ap-5709	208	3	0.15	0.15	NUM
ap-5709	208	4	0.2	0.2	NUM
ap-5709	208	5	h	h	NOUN
ap-5709	208	6	y	y	PROPN
ap-5709	209	1	d	d	X
ap-5709	209	2	ra	ra	NOUN
ap-5709	209	3	ti	ti	NOUN
ap-5709	209	4	o	o	NOUN
ap-5709	209	5	n	n	PROPN
ap-5709	209	6	d	d	X
ap-5709	209	7	eg	eg	X
ap-5709	209	8	re	re	ADP
ap-5709	209	9	e	e	X
ap-5709	209	10	(	(	PUNCT
ap-5709	209	11	)	)	PUNCT
ap-5709	209	12	t	t	NOUN
ap-5709	209	13	=	=	SYM
ap-5709	209	14	8	8	NUM
ap-5709	209	15	h	h	NOUN
ap-5709	209	16	9	9	NUM
ap-5709	209	17	"	"	PUNCT
ap-5709	209	18	,	,	PUNCT
ap-5709	209	19	"	"	PUNCT
ap-5709	209	20	=	=	NOUN
ap-5709	209	21	0:1	0:1	NUM
ap-5709	209	22	9	9	NUM
ap-5709	209	23	,	,	PUNCT
ap-5709	209	24	-ne	-ne	ADJ
ap-5709	209	25	mesh	mesh	NOUN
ap-5709	209	26	9	9	NUM
ap-5709	209	27	,	,	PUNCT
ap-5709	209	28	coarse	coarse	ADJ
ap-5709	209	29	mesh	mesh	NOUN
ap-5709	209	30	0	0	NUM
ap-5709	209	31	100	100	NUM
ap-5709	209	32	200	200	NUM
ap-5709	209	33	300	300	NUM
ap-5709	209	34	400	400	NUM
ap-5709	209	35	500	500	NUM
ap-5709	209	36	x1	x1	NOUN
ap-5709	209	37	(	(	PUNCT
ap-5709	209	38	mm	mm	NOUN
ap-5709	209	39	)	)	PUNCT
ap-5709	209	40	0	0	NUM
ap-5709	209	41	0.05	0.05	NUM
ap-5709	209	42	0.1	0.1	NUM
ap-5709	209	43	0.15	0.15	NUM
ap-5709	209	44	0.2	0.2	NUM
ap-5709	210	1	h	h	NOUN
ap-5709	210	2	y	y	PROPN
ap-5709	211	1	d	d	X
ap-5709	211	2	ra	ra	NOUN
ap-5709	211	3	ti	ti	NOUN
ap-5709	211	4	o	o	NOUN
ap-5709	211	5	n	n	PROPN
ap-5709	211	6	d	d	X
ap-5709	211	7	eg	eg	X
ap-5709	211	8	re	re	ADP
ap-5709	211	9	e	e	X
ap-5709	211	10	(	(	PUNCT
ap-5709	211	11	)	)	PUNCT
ap-5709	211	12	t	t	NOUN
ap-5709	211	13	=	=	SYM
ap-5709	211	14	8	8	NUM
ap-5709	211	15	h	h	NOUN
ap-5709	211	16	9	9	NUM
ap-5709	211	17	"	"	PUNCT
ap-5709	211	18	,	,	PUNCT
ap-5709	211	19	"	"	PUNCT
ap-5709	211	20	=	=	SYM
ap-5709	211	21	0:05	0:05	NUM
ap-5709	211	22	9	9	NUM
ap-5709	211	23	,	,	PUNCT
ap-5709	211	24	-ne	-ne	ADJ
ap-5709	211	25	mesh	mesh	NOUN
ap-5709	211	26	9	9	NUM
ap-5709	211	27	,	,	PUNCT
ap-5709	211	28	coarse	coarse	ADJ
ap-5709	211	29	mesh	mesh	NOUN
ap-5709	211	30	0	0	NUM
ap-5709	211	31	100	100	NUM
ap-5709	211	32	200	200	NUM
ap-5709	211	33	300	300	NUM
ap-5709	211	34	400	400	NUM
ap-5709	211	35	500	500	NUM
ap-5709	211	36	x1	x1	NOUN
ap-5709	211	37	(	(	PUNCT
ap-5709	211	38	mm	mm	NOUN
ap-5709	211	39	)	)	PUNCT
ap-5709	211	40	0	0	NUM
ap-5709	211	41	0.05	0.05	NUM
ap-5709	211	42	0.1	0.1	NUM
ap-5709	211	43	0.15	0.15	NUM
ap-5709	211	44	0.2	0.2	NUM
ap-5709	212	1	h	h	NOUN
ap-5709	212	2	y	y	PROPN
ap-5709	213	1	d	d	X
ap-5709	213	2	ra	ra	NOUN
ap-5709	213	3	ti	ti	NOUN
ap-5709	213	4	o	o	NOUN
ap-5709	213	5	n	n	PROPN
ap-5709	213	6	d	d	X
ap-5709	213	7	eg	eg	X
ap-5709	213	8	re	re	ADP
ap-5709	213	9	e	e	X
ap-5709	213	10	(	(	PUNCT
ap-5709	213	11	)	)	PUNCT
ap-5709	213	12	t	t	NOUN
ap-5709	213	13	=	=	SYM
ap-5709	213	14	8	8	NUM
ap-5709	213	15	h	h	NOUN
ap-5709	213	16	9	9	NUM
ap-5709	213	17	"	"	PUNCT
ap-5709	213	18	,	,	PUNCT
ap-5709	213	19	"	"	PUNCT
ap-5709	213	20	=	=	SYM
ap-5709	213	21	0:01	0:01	VERB
ap-5709	213	22	9	9	NUM
ap-5709	213	23	,	,	PUNCT
ap-5709	213	24	-ne	-ne	ADJ
ap-5709	213	25	mesh	mesh	NOUN
ap-5709	213	26	9	9	NUM
ap-5709	213	27	,	,	PUNCT
ap-5709	213	28	coarse	coarse	ADJ
ap-5709	213	29	mesh	mesh	NOUN
ap-5709	213	30	figure	figure	NOUN
ap-5709	213	31	5	5	NUM
ap-5709	213	32	.	.	PUNCT
ap-5709	214	1	distribution	distribution	NOUN
ap-5709	214	2	of	of	ADP
ap-5709	214	3	hydration	hydration	NOUN
ap-5709	214	4	degree	degree	NOUN
ap-5709	214	5	across	across	ADP
ap-5709	214	6	the	the	DET
ap-5709	214	7	analysed	analyse	VERB
ap-5709	214	8	structure	structure	NOUN
ap-5709	214	9	.	.	PUNCT
ap-5709	215	1	mesh	mesh	NOUN
ap-5709	215	2	of	of	ADP
ap-5709	215	3	10×10	10×10	NUM
ap-5709	215	4	square	square	ADJ
ap-5709	215	5	elements	element	NOUN
ap-5709	215	6	for	for	ADP
ap-5709	215	7	one	one	NUM
ap-5709	215	8	quarter	quarter	NOUN
ap-5709	215	9	of	of	ADP
ap-5709	215	10	the	the	DET
ap-5709	215	11	cell	cell	NOUN
ap-5709	215	12	(	(	PUNCT
ap-5709	215	13	element	element	NOUN
ap-5709	215	14	size	size	NOUN
ap-5709	215	15	of	of	ADP
ap-5709	215	16	50	50	NUM
ap-5709	215	17	mm	mm	NOUN
ap-5709	215	18	;	;	PUNCT
ap-5709	215	19	due	due	ADP
ap-5709	215	20	to	to	ADP
ap-5709	215	21	symmetry	symmetry	NOUN
ap-5709	215	22	,	,	PUNCT
ap-5709	215	23	only	only	ADV
ap-5709	215	24	one	one	NUM
ap-5709	215	25	quarter	quarter	NOUN
ap-5709	215	26	of	of	ADP
ap-5709	215	27	the	the	DET
ap-5709	215	28	cell	cell	NOUN
ap-5709	215	29	is	be	AUX
ap-5709	215	30	modelled	model	VERB
ap-5709	215	31	)	)	PUNCT
ap-5709	215	32	,	,	PUNCT
ap-5709	215	33	and	and	CCONJ
ap-5709	215	34	(	(	PUNCT
ap-5709	215	35	ii	ii	NOUN
ap-5709	215	36	)	)	PUNCT
ap-5709	215	37	using	use	VERB
ap-5709	215	38	the	the	DET
ap-5709	215	39	simplified	simplified	ADJ
ap-5709	215	40	approach	approach	NOUN
ap-5709	215	41	proposed	propose	VERB
ap-5709	215	42	by	by	ADP
ap-5709	215	43	sviercoski	sviercoski	PROPN
ap-5709	215	44	et	et	PROPN
ap-5709	215	45	al	al	PROPN
ap-5709	215	46	.	.	PUNCT
ap-5709	216	1	[	[	X
ap-5709	216	2	20	20	NUM
ap-5709	216	3	]	]	PUNCT
ap-5709	216	4	.	.	PUNCT
ap-5709	217	1	in	in	ADP
ap-5709	217	2	the	the	DET
ap-5709	217	3	following	follow	VERB
ap-5709	217	4	figures	figure	NOUN
ap-5709	217	5	,	,	PUNCT
ap-5709	217	6	the	the	DET
ap-5709	217	7	results	result	NOUN
ap-5709	217	8	obtained	obtain	VERB
ap-5709	217	9	by	by	ADP
ap-5709	217	10	the	the	DET
ap-5709	217	11	homogenized	homogenized	ADJ
ap-5709	217	12	model	model	NOUN
ap-5709	217	13	using	use	VERB
ap-5709	217	14	these	these	DET
ap-5709	217	15	two	two	NUM
ap-5709	217	16	approaches	approach	NOUN
ap-5709	217	17	are	be	AUX
ap-5709	217	18	indexed	index	VERB
ap-5709	217	19	as	as	ADP
ap-5709	217	20	(	(	PUNCT
ap-5709	217	21	fe	fe	NOUN
ap-5709	217	22	)	)	PUNCT
ap-5709	217	23	and	and	CCONJ
ap-5709	217	24	(	(	PUNCT
ap-5709	217	25	approx	approx	PROPN
ap-5709	217	26	.	.	PUNCT
ap-5709	217	27	)	)	PUNCT
ap-5709	217	28	,	,	PUNCT
ap-5709	217	29	respectively	respectively	ADV
ap-5709	217	30	.	.	PUNCT
ap-5709	218	1	the	the	DET
ap-5709	218	2	time	time	NOUN
ap-5709	218	3	step	step	NOUN
ap-5709	218	4	is	be	AUX
ap-5709	218	5	set	set	VERB
ap-5709	218	6	to	to	PART
ap-5709	218	7	∆t	∆t	VERB
ap-5709	218	8	=	=	SYM
ap-5709	218	9	60	60	NUM
ap-5709	218	10	s	s	NOUN
ap-5709	218	11	in	in	ADP
ap-5709	218	12	all	all	DET
ap-5709	218	13	the	the	DET
ap-5709	218	14	cases	case	NOUN
ap-5709	218	15	.	.	PUNCT
ap-5709	219	1	figure	figure	VERB
ap-5709	219	2	6	6	NUM
ap-5709	219	3	.	.	PUNCT
ap-5709	220	1	scheme	scheme	NOUN
ap-5709	220	2	of	of	ADP
ap-5709	220	3	the	the	DET
ap-5709	220	4	analysed	analyse	VERB
ap-5709	220	5	problem	problem	NOUN
ap-5709	220	6	,	,	PUNCT
ap-5709	220	7	cell	cell	NOUN
ap-5709	220	8	geometries	geometry	NOUN
ap-5709	220	9	,	,	PUNCT
ap-5709	220	10	boundary	boundary	ADJ
ap-5709	220	11	conditions	condition	NOUN
ap-5709	220	12	(	(	PUNCT
ap-5709	220	13	bc	bc	PROPN
ap-5709	220	14	)	)	PUNCT
ap-5709	220	15	.	.	PUNCT
ap-5709	221	1	figure	figure	VERB
ap-5709	221	2	7	7	NUM
ap-5709	221	3	.	.	PUNCT
ap-5709	222	1	finite	finite	PROPN
ap-5709	222	2	element	element	PROPN
ap-5709	222	3	mesh	mesh	NOUN
ap-5709	222	4	used	use	VERB
ap-5709	222	5	for	for	ADP
ap-5709	222	6	the	the	DET
ap-5709	222	7	mesoscale	mesoscale	ADJ
ap-5709	222	8	simulations	simulation	NOUN
ap-5709	222	9	:	:	PUNCT
ap-5709	222	10	variant	variant	NOUN
ap-5709	222	11	s	s	X
ap-5709	222	12	(	(	PUNCT
ap-5709	222	13	left	left	ADV
ap-5709	222	14	)	)	PUNCT
ap-5709	222	15	,	,	PUNCT
ap-5709	222	16	variant	variant	ADJ
ap-5709	222	17	r	r	NOUN
ap-5709	222	18	(	(	PUNCT
ap-5709	222	19	right	right	NOUN
ap-5709	222	20	)	)	PUNCT
ap-5709	222	21	.	.	PUNCT
ap-5709	223	1	the	the	DET
ap-5709	223	2	obtained	obtain	VERB
ap-5709	223	3	profiles	profile	NOUN
ap-5709	223	4	of	of	ADP
ap-5709	223	5	water	water	NOUN
ap-5709	223	6	pressure	pressure	NOUN
ap-5709	223	7	,	,	PUNCT
ap-5709	223	8	temperature	temperature	NOUN
ap-5709	223	9	,	,	PUNCT
ap-5709	223	10	and	and	CCONJ
ap-5709	223	11	hydration	hydration	NOUN
ap-5709	223	12	degree	degree	NOUN
ap-5709	223	13	along	along	ADP
ap-5709	223	14	the	the	DET
ap-5709	223	15	diagonal	diagonal	NOUN
ap-5709	223	16	of	of	ADP
ap-5709	223	17	the	the	DET
ap-5709	223	18	analysed	analyse	VERB
ap-5709	223	19	section	section	NOUN
ap-5709	223	20	(	(	PUNCT
ap-5709	223	21	xd	xd	ADV
ap-5709	223	22	,	,	PUNCT
ap-5709	223	23	see	see	VERB
ap-5709	223	24	figure	figure	NOUN
ap-5709	223	25	6	6	NUM
ap-5709	223	26	,	,	PUNCT
ap-5709	223	27	see	see	VERB
ap-5709	223	28	also	also	ADV
ap-5709	223	29	e.g.	e.g.	ADV
ap-5709	224	1	[	[	X
ap-5709	224	2	19	19	NUM
ap-5709	224	3	]	]	PUNCT
ap-5709	224	4	)	)	PUNCT
ap-5709	224	5	are	be	AUX
ap-5709	224	6	displayed	display	VERB
ap-5709	224	7	in	in	ADP
ap-5709	224	8	figure	figure	NOUN
ap-5709	224	9	8	8	NUM
ap-5709	224	10	.	.	PUNCT
ap-5709	225	1	a	a	DET
ap-5709	225	2	more	more	ADV
ap-5709	225	3	detailed	detailed	ADJ
ap-5709	225	4	comparison	comparison	NOUN
ap-5709	225	5	of	of	ADP
ap-5709	225	6	the	the	DET
ap-5709	225	7	temperature	temperature	NOUN
ap-5709	225	8	distribution	distribution	NOUN
ap-5709	225	9	is	be	AUX
ap-5709	225	10	presented	present	VERB
ap-5709	225	11	using	use	VERB
ap-5709	225	12	the	the	DET
ap-5709	225	13	isolines	isoline	NOUN
ap-5709	225	14	maps	map	NOUN
ap-5709	225	15	(	(	PUNCT
ap-5709	225	16	contour	contour	NOUN
ap-5709	225	17	plots	plot	NOUN
ap-5709	225	18	)	)	PUNCT
ap-5709	225	19	in	in	ADP
ap-5709	225	20	figure	figure	NOUN
ap-5709	225	21	9	9	NUM
ap-5709	225	22	,	,	PUNCT
ap-5709	225	23	cf	cf	NOUN
ap-5709	225	24	.	.	PUNCT
ap-5709	226	1	e.g.	e.g.	ADV
ap-5709	226	2	[	[	X
ap-5709	226	3	21–23	21–23	NUM
ap-5709	226	4	]	]	X
ap-5709	226	5	.	.	PUNCT
ap-5709	227	1	for	for	ADP
ap-5709	227	2	illustration	illustration	NOUN
ap-5709	227	3	,	,	PUNCT
ap-5709	227	4	selected	select	VERB
ap-5709	227	5	results	result	NOUN
ap-5709	227	6	(	(	PUNCT
ap-5709	227	7	hydration	hydration	NOUN
ap-5709	227	8	degree	degree	NOUN
ap-5709	227	9	and	and	CCONJ
ap-5709	227	10	saturation	saturation	NOUN
ap-5709	227	11	)	)	PUNCT
ap-5709	227	12	are	be	AUX
ap-5709	227	13	shown	show	VERB
ap-5709	227	14	using	use	VERB
ap-5709	227	15	the	the	DET
ap-5709	227	16	filled	fill	VERB
ap-5709	227	17	contour	contour	NOUN
ap-5709	227	18	maps	map	NOUN
ap-5709	227	19	in	in	ADP
ap-5709	227	20	figures	figure	NOUN
ap-5709	227	21	10	10	NUM
ap-5709	227	22	and	and	CCONJ
ap-5709	227	23	11	11	NUM
ap-5709	227	24	,	,	PUNCT
ap-5709	227	25	cf	cf	NOUN
ap-5709	227	26	.	.	PUNCT
ap-5709	228	1	e.g.	e.g.	ADV
ap-5709	228	2	[	[	X
ap-5709	228	3	23	23	NUM
ap-5709	228	4	]	]	PUNCT
ap-5709	228	5	.	.	PUNCT
ap-5709	229	1	as	as	SCONJ
ap-5709	229	2	can	can	AUX
ap-5709	229	3	be	be	AUX
ap-5709	229	4	seen	see	VERB
ap-5709	229	5	,	,	PUNCT
ap-5709	229	6	the	the	DET
ap-5709	229	7	presented	present	VERB
ap-5709	229	8	homogenized	homogenized	ADJ
ap-5709	229	9	model	model	NOUN
ap-5709	229	10	provides	provide	VERB
ap-5709	229	11	a	a	DET
ap-5709	229	12	sufficiently	sufficiently	ADV
ap-5709	229	13	accurate	accurate	ADJ
ap-5709	229	14	approximation	approximation	NOUN
ap-5709	229	15	to	to	ADP
ap-5709	229	16	the	the	DET
ap-5709	229	17	mesoscale	mesoscale	ADJ
ap-5709	229	18	problem	problem	NOUN
ap-5709	229	19	of	of	ADP
ap-5709	229	20	hydration	hydration	NOUN
ap-5709	229	21	and	and	CCONJ
ap-5709	229	22	transport	transport	NOUN
ap-5709	229	23	processes	process	NOUN
ap-5709	229	24	in	in	ADP
ap-5709	229	25	early	early	ADJ
ap-5709	229	26	age	age	NOUN
ap-5709	229	27	concrete	concrete	NOUN
ap-5709	229	28	.	.	PUNCT
ap-5709	230	1	this	this	PRON
ap-5709	230	2	holds	hold	VERB
ap-5709	230	3	true	true	ADJ
ap-5709	230	4	mainly	mainly	ADV
ap-5709	230	5	for	for	ADP
ap-5709	230	6	the	the	DET
ap-5709	230	7	temperature	temperature	NOUN
ap-5709	230	8	,	,	PUNCT
ap-5709	230	9	which	which	PRON
ap-5709	230	10	is	be	AUX
ap-5709	230	11	,	,	PUNCT
ap-5709	230	12	from	from	ADP
ap-5709	230	13	the	the	DET
ap-5709	230	14	engineering	engineering	NOUN
ap-5709	230	15	point	point	NOUN
ap-5709	230	16	of	of	ADP
ap-5709	230	17	view	view	NOUN
ap-5709	230	18	,	,	PUNCT
ap-5709	230	19	the	the	DET
ap-5709	230	20	most	most	ADV
ap-5709	230	21	important	important	ADJ
ap-5709	230	22	variable	variable	NOUN
ap-5709	230	23	.	.	PUNCT
ap-5709	231	1	the	the	DET
ap-5709	231	2	analysed	analyse	VERB
ap-5709	231	3	example	example	NOUN
ap-5709	231	4	also	also	ADV
ap-5709	231	5	indicates	indicate	VERB
ap-5709	231	6	that	that	SCONJ
ap-5709	231	7	,	,	PUNCT
ap-5709	231	8	in	in	ADP
ap-5709	231	9	comparison	comparison	NOUN
ap-5709	231	10	with	with	ADP
ap-5709	231	11	the	the	DET
ap-5709	231	12	classical	classical	ADJ
ap-5709	231	13	fe	fe	NOUN
ap-5709	231	14	-	-	NOUN
ap-5709	231	15	approach	approach	NOUN
ap-5709	231	16	,	,	PUNCT
ap-5709	231	17	the	the	DET
ap-5709	231	18	approximate	approximate	ADJ
ap-5709	231	19	solution	solution	NOUN
ap-5709	231	20	of	of	ADP
ap-5709	231	21	the	the	DET
ap-5709	231	22	periodic	periodic	ADJ
ap-5709	231	23	cell	cell	NOUN
ap-5709	231	24	problem	problem	NOUN
ap-5709	231	25	(	(	PUNCT
ap-5709	231	26	determination	determination	NOUN
ap-5709	231	27	of	of	ADP
ap-5709	231	28	the	the	DET
ap-5709	231	29	homogenized	homogenized	ADJ
ap-5709	231	30	material	material	NOUN
ap-5709	231	31	coefficients	coefficient	NOUN
ap-5709	231	32	)	)	PUNCT
ap-5709	231	33	proposed	propose	VERB
ap-5709	231	34	by	by	ADP
ap-5709	231	35	sviercoski	sviercoski	PROPN
ap-5709	231	36	et	et	PROPN
ap-5709	231	37	al	al	PROPN
ap-5709	231	38	.	.	PUNCT
ap-5709	232	1	[	[	X
ap-5709	232	2	20	20	NUM
ap-5709	232	3	]	]	PUNCT
ap-5709	232	4	gives	give	VERB
ap-5709	232	5	almost	almost	ADV
ap-5709	232	6	the	the	DET
ap-5709	232	7	same	same	ADJ
ap-5709	232	8	results	result	NOUN
ap-5709	232	9	while	while	SCONJ
ap-5709	232	10	achieving	achieve	VERB
ap-5709	232	11	significant	significant	ADJ
ap-5709	232	12	computational	computational	ADJ
ap-5709	232	13	cost	cost	NOUN
ap-5709	232	14	savings	saving	NOUN
ap-5709	232	15	.	.	PUNCT
ap-5709	233	1	18	18	NUM
ap-5709	233	2	vol	vol	NOUN
ap-5709	233	3	.	.	PUNCT
ap-5709	233	4	60	60	NUM
ap-5709	233	5	no	no	INTJ
ap-5709	233	6	.	.	PUNCT
ap-5709	234	1	1/2020	1/2020	NUM
ap-5709	234	2	homogenization	homogenization	NOUN
ap-5709	234	3	of	of	ADP
ap-5709	234	4	transport	transport	NOUN
ap-5709	234	5	processes	process	NOUN
ap-5709	234	6	and	and	CCONJ
ap-5709	234	7	hydration	hydration	NOUN
ap-5709	234	8	phenomena	phenomenon	NOUN
ap-5709	234	9	.	.	PUNCT
ap-5709	234	10	.	.	PUNCT
ap-5709	234	11	.	.	PUNCT
ap-5709	235	1	the	the	DET
ap-5709	235	2	computational	computational	ADJ
ap-5709	235	3	cost	cost	NOUN
ap-5709	235	4	savings	saving	NOUN
ap-5709	235	5	are	be	AUX
ap-5709	235	6	evident	evident	ADJ
ap-5709	235	7	because	because	SCONJ
ap-5709	235	8	of	of	ADP
ap-5709	235	9	the	the	DET
ap-5709	235	10	closed	closed	ADJ
ap-5709	235	11	-	-	PUNCT
ap-5709	235	12	form	form	NOUN
ap-5709	235	13	approximation	approximation	NOUN
ap-5709	235	14	of	of	ADP
ap-5709	235	15	the	the	DET
ap-5709	235	16	solution	solution	NOUN
ap-5709	235	17	to	to	ADP
ap-5709	235	18	the	the	DET
ap-5709	235	19	periodic	periodic	ADJ
ap-5709	235	20	cell	cell	NOUN
ap-5709	235	21	problem	problem	NOUN
ap-5709	235	22	,	,	PUNCT
ap-5709	235	23	which	which	PRON
ap-5709	235	24	needs	need	VERB
ap-5709	235	25	to	to	PART
ap-5709	235	26	solved	solved	VERB
ap-5709	235	27	at	at	ADP
ap-5709	235	28	each	each	DET
ap-5709	235	29	integration	integration	NOUN
ap-5709	235	30	point	point	NOUN
ap-5709	235	31	(	(	PUNCT
ap-5709	235	32	at	at	ADP
ap-5709	235	33	the	the	DET
ap-5709	235	34	macroscale	macroscale	NOUN
ap-5709	235	35	)	)	PUNCT
ap-5709	235	36	and	and	CCONJ
ap-5709	235	37	in	in	ADP
ap-5709	235	38	each	each	DET
ap-5709	235	39	discrete	discrete	ADJ
ap-5709	235	40	time	time	NOUN
ap-5709	235	41	step	step	NOUN
ap-5709	235	42	.	.	PUNCT
ap-5709	236	1	by	by	ADP
ap-5709	236	2	the	the	DET
ap-5709	236	3	analytical	analytical	ADJ
ap-5709	236	4	solution	solution	NOUN
ap-5709	236	5	,	,	PUNCT
ap-5709	236	6	the	the	DET
ap-5709	236	7	homogenized	homogenized	ADJ
ap-5709	236	8	coefficients	coefficient	NOUN
ap-5709	236	9	are	be	AUX
ap-5709	236	10	obtained	obtain	VERB
ap-5709	236	11	directly	directly	ADV
ap-5709	236	12	by	by	ADP
ap-5709	236	13	a	a	DET
ap-5709	236	14	closed	closed	ADJ
ap-5709	236	15	-	-	PUNCT
ap-5709	236	16	form	form	NOUN
ap-5709	236	17	formulae	formulae	NOUN
ap-5709	236	18	–	–	PUNCT
ap-5709	236	19	see	see	VERB
ap-5709	236	20	formulae	formulae	NOUN
ap-5709	236	21	(	(	PUNCT
ap-5709	236	22	23)–(25	23)–(25	NUM
ap-5709	236	23	)	)	PUNCT
ap-5709	236	24	,	,	PUNCT
ap-5709	236	25	while	while	SCONJ
ap-5709	236	26	for	for	ADP
ap-5709	236	27	the	the	DET
ap-5709	236	28	finite	finite	PROPN
ap-5709	236	29	element	element	NOUN
ap-5709	236	30	approach	approach	NOUN
ap-5709	236	31	,	,	PUNCT
ap-5709	236	32	the	the	DET
ap-5709	236	33	local	local	ADJ
ap-5709	236	34	problem	problem	NOUN
ap-5709	236	35	needs	need	VERB
ap-5709	236	36	to	to	PART
ap-5709	236	37	be	be	AUX
ap-5709	236	38	solved	solve	VERB
ap-5709	236	39	numerically	numerically	ADV
ap-5709	236	40	.	.	PUNCT
ap-5709	237	1	6	6	X
ap-5709	237	2	.	.	X
ap-5709	237	3	conclusions	conclusion	NOUN
ap-5709	237	4	in	in	ADP
ap-5709	237	5	the	the	DET
ap-5709	237	6	paper	paper	NOUN
ap-5709	237	7	,	,	PUNCT
ap-5709	237	8	we	we	PRON
ap-5709	237	9	have	have	AUX
ap-5709	237	10	proposed	propose	VERB
ap-5709	237	11	a	a	DET
ap-5709	237	12	fully	fully	ADV
ap-5709	237	13	coupled	couple	VERB
ap-5709	237	14	twoscale	twoscale	NOUN
ap-5709	237	15	(	(	PUNCT
ap-5709	237	16	meso	meso	NOUN
ap-5709	237	17	-	-	PUNCT
ap-5709	237	18	macro	macro	NOUN
ap-5709	237	19	)	)	PUNCT
ap-5709	237	20	homogenization	homogenization	NOUN
ap-5709	237	21	framework	framework	NOUN
ap-5709	237	22	(	(	PUNCT
ap-5709	237	23	theoretically	theoretically	ADV
ap-5709	237	24	investigated	investigate	VERB
ap-5709	237	25	in	in	ADP
ap-5709	237	26	[	[	X
ap-5709	237	27	17	17	NUM
ap-5709	237	28	,	,	PUNCT
ap-5709	237	29	29	29	NUM
ap-5709	237	30	]	]	PUNCT
ap-5709	237	31	)	)	PUNCT
ap-5709	237	32	for	for	ADP
ap-5709	237	33	the	the	DET
ap-5709	237	34	modelling	modelling	NOUN
ap-5709	237	35	of	of	ADP
ap-5709	237	36	simultaneous	simultaneous	ADJ
ap-5709	237	37	heat	heat	NOUN
ap-5709	237	38	transfer	transfer	NOUN
ap-5709	237	39	,	,	PUNCT
ap-5709	237	40	moisture	moisture	NOUN
ap-5709	237	41	flows	flow	NOUN
ap-5709	237	42	and	and	CCONJ
ap-5709	237	43	hydration	hydration	NOUN
ap-5709	237	44	phenomena	phenomenon	NOUN
ap-5709	237	45	in	in	ADP
ap-5709	237	46	fresh	fresh	ADJ
ap-5709	237	47	concrete	concrete	NOUN
ap-5709	237	48	.	.	PUNCT
ap-5709	238	1	a	a	DET
ap-5709	238	2	modified	modify	VERB
ap-5709	238	3	mesoscale	mesoscale	NOUN
ap-5709	238	4	model	model	NOUN
ap-5709	238	5	has	have	AUX
ap-5709	238	6	been	be	AUX
ap-5709	238	7	introduced	introduce	VERB
ap-5709	238	8	by	by	ADP
ap-5709	238	9	assuming	assume	VERB
ap-5709	238	10	concrete	concrete	ADJ
ap-5709	238	11	as	as	ADP
ap-5709	238	12	a	a	DET
ap-5709	238	13	composite	composite	ADJ
ap-5709	238	14	material	material	NOUN
ap-5709	238	15	with	with	ADP
ap-5709	238	16	two	two	NUM
ap-5709	238	17	periodically	periodically	ADV
ap-5709	238	18	distributed	distribute	VERB
ap-5709	238	19	mesoscale	mesoscale	ADJ
ap-5709	238	20	components	component	NOUN
ap-5709	238	21	,	,	PUNCT
ap-5709	238	22	cement	cement	NOUN
ap-5709	238	23	paste	paste	NOUN
ap-5709	238	24	and	and	CCONJ
ap-5709	238	25	aggregates	aggregate	NOUN
ap-5709	238	26	,	,	PUNCT
ap-5709	238	27	partially	partially	ADV
ap-5709	238	28	saturated	saturate	VERB
ap-5709	238	29	with	with	ADP
ap-5709	238	30	liquid	liquid	ADJ
ap-5709	238	31	water	water	NOUN
ap-5709	238	32	and	and	CCONJ
ap-5709	238	33	gas	gas	NOUN
ap-5709	238	34	.	.	PUNCT
ap-5709	239	1	for	for	ADP
ap-5709	239	2	the	the	DET
ap-5709	239	3	mesoscale	mesoscale	ADJ
ap-5709	239	4	problem	problem	NOUN
ap-5709	239	5	,	,	PUNCT
ap-5709	239	6	an	an	DET
ap-5709	239	7	upscaling	upscale	VERB
ap-5709	239	8	method	method	NOUN
ap-5709	239	9	has	have	AUX
ap-5709	239	10	been	be	AUX
ap-5709	239	11	utilized	utilize	VERB
ap-5709	239	12	in	in	ADP
ap-5709	239	13	order	order	NOUN
ap-5709	239	14	to	to	PART
ap-5709	239	15	obtain	obtain	VERB
ap-5709	239	16	the	the	DET
ap-5709	239	17	homogenized	homogenized	ADJ
ap-5709	239	18	model	model	NOUN
ap-5709	239	19	.	.	PUNCT
ap-5709	240	1	the	the	DET
ap-5709	240	2	homogenized	homogenized	ADJ
ap-5709	240	3	coefficients	coefficient	NOUN
ap-5709	240	4	have	have	AUX
ap-5709	240	5	been	be	AUX
ap-5709	240	6	determined	determine	VERB
ap-5709	240	7	based	base	VERB
ap-5709	240	8	on	on	ADP
ap-5709	240	9	the	the	DET
ap-5709	240	10	solution	solution	NOUN
ap-5709	240	11	of	of	ADP
ap-5709	240	12	the	the	DET
ap-5709	240	13	periodic	periodic	ADJ
ap-5709	240	14	cell	cell	NOUN
ap-5709	240	15	problem	problem	NOUN
ap-5709	240	16	.	.	PUNCT
ap-5709	241	1	two	two	NUM
ap-5709	241	2	different	different	ADJ
ap-5709	241	3	approaches	approach	NOUN
ap-5709	241	4	have	have	AUX
ap-5709	241	5	been	be	AUX
ap-5709	241	6	adopted	adopt	VERB
ap-5709	241	7	for	for	ADP
ap-5709	241	8	solving	solve	VERB
ap-5709	241	9	the	the	DET
ap-5709	241	10	periodic	periodic	ADJ
ap-5709	241	11	cell	cell	NOUN
ap-5709	241	12	problem	problem	NOUN
ap-5709	241	13	:	:	PUNCT
ap-5709	241	14	(	(	PUNCT
ap-5709	241	15	i	i	NOUN
ap-5709	241	16	)	)	PUNCT
ap-5709	241	17	the	the	DET
ap-5709	241	18	classical	classical	ADJ
ap-5709	241	19	finite	finite	ADJ
ap-5709	241	20	element	element	NOUN
ap-5709	241	21	method	method	NOUN
ap-5709	241	22	,	,	PUNCT
ap-5709	241	23	(	(	PUNCT
ap-5709	241	24	ii	ii	NOUN
ap-5709	241	25	)	)	PUNCT
ap-5709	241	26	a	a	DET
ap-5709	241	27	simplified	simplified	ADJ
ap-5709	241	28	approach	approach	NOUN
ap-5709	241	29	based	base	VERB
ap-5709	241	30	on	on	ADP
ap-5709	241	31	an	an	DET
ap-5709	241	32	analytical	analytical	ADJ
ap-5709	241	33	approximation	approximation	NOUN
ap-5709	241	34	proposed	propose	VERB
ap-5709	241	35	by	by	ADP
ap-5709	241	36	sviercoski	sviercoski	PROPN
ap-5709	241	37	et	et	PROPN
ap-5709	241	38	al	al	PROPN
ap-5709	241	39	.	.	PUNCT
ap-5709	242	1	[	[	X
ap-5709	242	2	20	20	NUM
ap-5709	242	3	]	]	PUNCT
ap-5709	242	4	.	.	PUNCT
ap-5709	243	1	the	the	DET
ap-5709	243	2	resulting	result	VERB
ap-5709	243	3	algorithm	algorithm	NOUN
ap-5709	243	4	,	,	PUNCT
ap-5709	243	5	based	base	VERB
ap-5709	243	6	on	on	ADP
ap-5709	243	7	the	the	DET
ap-5709	243	8	finite	finite	ADJ
ap-5709	243	9	element	element	NOUN
ap-5709	243	10	discretization	discretization	NOUN
ap-5709	243	11	in	in	ADP
ap-5709	243	12	space	space	NOUN
ap-5709	243	13	and	and	CCONJ
ap-5709	243	14	a	a	DET
ap-5709	243	15	semi	semi	ADJ
ap-5709	243	16	-	-	ADJ
ap-5709	243	17	implicit	implicit	ADJ
ap-5709	243	18	finite	finite	ADJ
ap-5709	243	19	difference	difference	NOUN
ap-5709	243	20	discretization	discretization	NOUN
ap-5709	243	21	in	in	ADP
ap-5709	243	22	time	time	NOUN
ap-5709	243	23	,	,	PUNCT
ap-5709	243	24	has	have	AUX
ap-5709	243	25	been	be	AUX
ap-5709	243	26	implemented	implement	VERB
ap-5709	243	27	in	in	ADP
ap-5709	243	28	matlab	matlab	PROPN
ap-5709	243	29	environment	environment	NOUN
ap-5709	243	30	and	and	CCONJ
ap-5709	243	31	employed	employ	VERB
ap-5709	243	32	for	for	ADP
ap-5709	243	33	several	several	ADJ
ap-5709	243	34	numerical	numerical	ADJ
ap-5709	243	35	experiments	experiment	NOUN
ap-5709	243	36	.	.	PUNCT
ap-5709	244	1	the	the	DET
ap-5709	244	2	results	result	NOUN
ap-5709	244	3	of	of	ADP
ap-5709	244	4	the	the	DET
ap-5709	244	5	presented	present	VERB
ap-5709	244	6	examples	example	NOUN
ap-5709	244	7	have	have	AUX
ap-5709	244	8	confirmed	confirm	VERB
ap-5709	244	9	the	the	DET
ap-5709	244	10	following	following	NOUN
ap-5709	244	11	.	.	PUNCT
ap-5709	245	1	•	•	NOUN
ap-5709	245	2	with	with	ADP
ap-5709	245	3	a	a	DET
ap-5709	245	4	decreasing	decrease	VERB
ap-5709	245	5	value	value	NOUN
ap-5709	245	6	of	of	ADP
ap-5709	245	7	the	the	DET
ap-5709	245	8	characteristic	characteristic	ADJ
ap-5709	245	9	length	length	NOUN
ap-5709	245	10	ε	ε	PROPN
ap-5709	245	11	,	,	PUNCT
ap-5709	245	12	representing	represent	VERB
ap-5709	245	13	the	the	DET
ap-5709	245	14	small	small	ADJ
ap-5709	245	15	scale	scale	NOUN
ap-5709	245	16	variability	variability	NOUN
ap-5709	245	17	of	of	ADP
ap-5709	245	18	the	the	DET
ap-5709	245	19	concrete	concrete	ADJ
ap-5709	245	20	composite	composite	NOUN
ap-5709	245	21	,	,	PUNCT
ap-5709	245	22	the	the	DET
ap-5709	245	23	mesoscale	mesoscale	ADJ
ap-5709	245	24	solution	solution	NOUN
ap-5709	245	25	converges	converge	VERB
ap-5709	245	26	towards	towards	ADP
ap-5709	245	27	the	the	DET
ap-5709	245	28	homogenized	homogenized	ADJ
ap-5709	245	29	problem	problem	NOUN
ap-5709	245	30	solution	solution	NOUN
ap-5709	245	31	.	.	PUNCT
ap-5709	246	1	•	•	NOUN
ap-5709	246	2	for	for	ADP
ap-5709	246	3	the	the	DET
ap-5709	246	4	homogenized	homogenized	ADJ
ap-5709	246	5	problem	problem	NOUN
ap-5709	246	6	,	,	PUNCT
ap-5709	246	7	a	a	DET
ap-5709	246	8	coarse	coarse	ADJ
ap-5709	246	9	finite	finite	NOUN
ap-5709	246	10	element	element	NOUN
ap-5709	246	11	mesh	mesh	NOUN
ap-5709	246	12	provides	provide	VERB
ap-5709	246	13	almost	almost	ADV
ap-5709	246	14	the	the	DET
ap-5709	246	15	same	same	ADJ
ap-5709	246	16	results	result	NOUN
ap-5709	246	17	as	as	ADP
ap-5709	246	18	the	the	DET
ap-5709	246	19	fine	fine	ADJ
ap-5709	246	20	mesh	mesh	NOUN
ap-5709	246	21	.	.	PUNCT
ap-5709	247	1	•	•	NUM
ap-5709	247	2	the	the	DET
ap-5709	247	3	presented	present	VERB
ap-5709	247	4	homogenized	homogenized	ADJ
ap-5709	247	5	model	model	NOUN
ap-5709	247	6	provides	provide	VERB
ap-5709	247	7	a	a	DET
ap-5709	247	8	sufficiently	sufficiently	ADV
ap-5709	247	9	accurate	accurate	ADJ
ap-5709	247	10	approximation	approximation	NOUN
ap-5709	247	11	to	to	ADP
ap-5709	247	12	the	the	DET
ap-5709	247	13	mesoscale	mesoscale	ADJ
ap-5709	247	14	problem	problem	NOUN
ap-5709	247	15	of	of	ADP
ap-5709	247	16	hydration	hydration	NOUN
ap-5709	247	17	and	and	CCONJ
ap-5709	247	18	transport	transport	NOUN
ap-5709	247	19	processes	process	NOUN
ap-5709	247	20	in	in	ADP
ap-5709	247	21	early	early	ADJ
ap-5709	247	22	age	age	NOUN
ap-5709	247	23	concrete	concrete	NOUN
ap-5709	247	24	.	.	PUNCT
ap-5709	248	1	•	•	NUM
ap-5709	248	2	for	for	ADP
ap-5709	248	3	the	the	DET
ap-5709	248	4	homogenized	homogenized	ADJ
ap-5709	248	5	model	model	NOUN
ap-5709	248	6	,	,	PUNCT
ap-5709	248	7	the	the	DET
ap-5709	248	8	approximate	approximate	ADJ
ap-5709	248	9	solution	solution	NOUN
ap-5709	248	10	of	of	ADP
ap-5709	248	11	the	the	DET
ap-5709	248	12	periodic	periodic	ADJ
ap-5709	248	13	cell	cell	NOUN
ap-5709	248	14	problem	problem	NOUN
ap-5709	248	15	(	(	PUNCT
ap-5709	248	16	determination	determination	NOUN
ap-5709	248	17	of	of	ADP
ap-5709	248	18	the	the	DET
ap-5709	248	19	homogenized	homogenized	ADJ
ap-5709	248	20	material	material	NOUN
ap-5709	248	21	coefficients	coefficient	NOUN
ap-5709	248	22	)	)	PUNCT
ap-5709	248	23	proposed	propose	VERB
ap-5709	248	24	by	by	ADP
ap-5709	248	25	sviercoski	sviercoski	PROPN
ap-5709	248	26	et	et	PROPN
ap-5709	248	27	al	al	PROPN
ap-5709	248	28	.	.	PUNCT
ap-5709	249	1	[	[	X
ap-5709	249	2	20	20	NUM
ap-5709	249	3	]	]	PUNCT
ap-5709	249	4	gives	give	VERB
ap-5709	249	5	almost	almost	ADV
ap-5709	249	6	the	the	DET
ap-5709	249	7	same	same	ADJ
ap-5709	249	8	results	result	NOUN
ap-5709	249	9	as	as	ADP
ap-5709	249	10	the	the	DET
ap-5709	249	11	classical	classical	ADJ
ap-5709	249	12	fe	fe	NOUN
ap-5709	249	13	approach	approach	NOUN
ap-5709	249	14	while	while	SCONJ
ap-5709	249	15	achieving	achieve	VERB
ap-5709	249	16	significant	significant	ADJ
ap-5709	249	17	computational	computational	ADJ
ap-5709	249	18	cost	cost	NOUN
ap-5709	249	19	savings	saving	NOUN
ap-5709	249	20	.	.	PUNCT
ap-5709	250	1	in	in	ADP
ap-5709	250	2	our	our	PRON
ap-5709	250	3	future	future	ADJ
ap-5709	250	4	work	work	NOUN
ap-5709	250	5	,	,	PUNCT
ap-5709	250	6	we	we	PRON
ap-5709	250	7	will	will	AUX
ap-5709	250	8	focus	focus	VERB
ap-5709	250	9	on	on	ADP
ap-5709	250	10	:	:	PUNCT
ap-5709	250	11	•	•	NUM
ap-5709	250	12	numerical	numerical	ADJ
ap-5709	250	13	experiments	experiment	NOUN
ap-5709	250	14	investigating	investigate	VERB
ap-5709	250	15	the	the	DET
ap-5709	250	16	effect	effect	NOUN
ap-5709	250	17	of	of	ADP
ap-5709	250	18	the	the	DET
ap-5709	250	19	cell	cell	NOUN
ap-5709	250	20	geometry	geometry	NOUN
ap-5709	250	21	(	(	PUNCT
ap-5709	250	22	aggregates	aggregate	NOUN
ap-5709	250	23	of	of	ADP
ap-5709	250	24	different	different	ADJ
ap-5709	250	25	shapes	shape	NOUN
ap-5709	250	26	and	and	CCONJ
ap-5709	250	27	sizes	size	NOUN
ap-5709	250	28	)	)	PUNCT
ap-5709	250	29	;	;	PUNCT
ap-5709	250	30	•	•	NUM
ap-5709	250	31	utilization	utilization	NOUN
ap-5709	250	32	of	of	ADP
ap-5709	250	33	the	the	DET
ap-5709	250	34	homogenization	homogenization	NOUN
ap-5709	250	35	approach	approach	NOUN
ap-5709	250	36	for	for	ADP
ap-5709	250	37	the	the	DET
ap-5709	250	38	analysis	analysis	NOUN
ap-5709	250	39	of	of	ADP
ap-5709	250	40	transport	transport	NOUN
ap-5709	250	41	processes	process	NOUN
ap-5709	250	42	in	in	ADP
ap-5709	250	43	concrete	concrete	NOUN
ap-5709	250	44	exposed	expose	VERB
ap-5709	250	45	to	to	ADP
ap-5709	250	46	high	high	ADJ
ap-5709	250	47	temperatures	temperature	NOUN
ap-5709	250	48	.	.	PUNCT
ap-5709	251	1	7	7	X
ap-5709	251	2	.	.	X
ap-5709	251	3	appendix	appendix	NOUN
ap-5709	251	4	–	–	PUNCT
ap-5709	251	5	model	model	NOUN
ap-5709	251	6	parameters	parameter	NOUN
ap-5709	251	7	based	base	VERB
ap-5709	251	8	on	on	ADP
ap-5709	251	9	a	a	DET
ap-5709	251	10	literature	literature	NOUN
ap-5709	251	11	review	review	NOUN
ap-5709	251	12	,	,	PUNCT
ap-5709	251	13	the	the	DET
ap-5709	251	14	model	model	NOUN
ap-5709	251	15	parameters	parameter	NOUN
ap-5709	251	16	employed	employ	VERB
ap-5709	251	17	for	for	ADP
ap-5709	251	18	the	the	DET
ap-5709	251	19	numerical	numerical	ADJ
ap-5709	251	20	experiments	experiment	NOUN
ap-5709	251	21	presented	present	VERB
ap-5709	251	22	in	in	ADP
ap-5709	251	23	this	this	DET
ap-5709	251	24	paper	paper	NOUN
ap-5709	251	25	have	have	AUX
ap-5709	251	26	been	be	AUX
ap-5709	251	27	adopted	adopt	VERB
ap-5709	251	28	as	as	SCONJ
ap-5709	251	29	follows	follow	VERB
ap-5709	251	30	(	(	PUNCT
ap-5709	251	31	see	see	VERB
ap-5709	251	32	also	also	ADV
ap-5709	251	33	our	our	PRON
ap-5709	251	34	previous	previous	ADJ
ap-5709	251	35	work	work	NOUN
ap-5709	251	36	[	[	X
ap-5709	251	37	18	18	NUM
ap-5709	251	38	]	]	NUM
ap-5709	251	39	)	)	PUNCT
ap-5709	251	40	.	.	PUNCT
ap-5709	252	1	the	the	DET
ap-5709	252	2	values	value	NOUN
ap-5709	252	3	of	of	ADP
ap-5709	252	4	density	density	NOUN
ap-5709	252	5	and	and	CCONJ
ap-5709	252	6	heat	heat	NOUN
ap-5709	252	7	capacity	capacity	NOUN
ap-5709	252	8	of	of	ADP
ap-5709	252	9	concrete	concrete	ADJ
ap-5709	252	10	components	component	NOUN
ap-5709	252	11	are	be	AUX
ap-5709	252	12	taken	take	VERB
ap-5709	252	13	as	as	ADP
ap-5709	252	14	:	:	PUNCT
ap-5709	252	15	%	%	INTJ
ap-5709	252	16	w	w	NOUN
ap-5709	252	17	=	=	NOUN
ap-5709	252	18	1000	1000	NUM
ap-5709	252	19	kg	kg	NOUN
ap-5709	252	20	m−3	m−3	PROPN
ap-5709	252	21	,	,	PUNCT
ap-5709	252	22	%	%	INTJ
ap-5709	252	23	sa	sa	NOUN
ap-5709	252	24	=	=	SYM
ap-5709	252	25	2830	2830	NUM
ap-5709	252	26	kg	kg	NOUN
ap-5709	253	1	m−3	m−3	PROPN
ap-5709	253	2	,	,	PUNCT
ap-5709	253	3	%	%	INTJ
ap-5709	253	4	sc	sc	PROPN
ap-5709	253	5	=	=	NOUN
ap-5709	253	6	3220	3220	NUM
ap-5709	253	7	kg	kg	NOUN
ap-5709	253	8	m−3	m−3	PROPN
ap-5709	253	9	,	,	PUNCT
ap-5709	253	10	cw	cw	NOUN
ap-5709	253	11	=	=	SYM
ap-5709	253	12	4180	4180	NUM
ap-5709	253	13	j	j	PROPN
ap-5709	253	14	kg−1	kg−1	PROPN
ap-5709	253	15	k−1	k−1	PROPN
ap-5709	253	16	,	,	PUNCT
ap-5709	253	17	csa	csa	PROPN
ap-5709	253	18	=	=	PROPN
ap-5709	253	19	840	840	NUM
ap-5709	253	20	j	j	PROPN
ap-5709	253	21	kg−1	kg−1	PROPN
ap-5709	253	22	k−1	k−1	PROPN
ap-5709	253	23	,	,	PUNCT
ap-5709	253	24	csc	csc	PROPN
ap-5709	253	25	=	=	PROPN
ap-5709	253	26	750	750	NUM
ap-5709	253	27	j	j	NOUN
ap-5709	253	28	kg−1	kg−1	PROPN
ap-5709	253	29	k−1	k−1	PROPN
ap-5709	254	1	[	[	X
ap-5709	254	2	16	16	NUM
ap-5709	254	3	,	,	PUNCT
ap-5709	254	4	table	table	NOUN
ap-5709	254	5	1	1	NUM
ap-5709	254	6	]	]	PUNCT
ap-5709	254	7	,	,	PUNCT
ap-5709	254	8	[	[	X
ap-5709	254	9	32	32	NUM
ap-5709	254	10	,	,	PUNCT
ap-5709	254	11	example	example	NOUN
ap-5709	254	12	13.1	13.1	NUM
ap-5709	254	13	]	]	PUNCT
ap-5709	254	14	.	.	PUNCT
ap-5709	255	1	the	the	DET
ap-5709	255	2	porosity	porosity	NOUN
ap-5709	255	3	of	of	ADP
ap-5709	255	4	cement	cement	NOUN
ap-5709	255	5	paste	paste	NOUN
ap-5709	255	6	,	,	PUNCT
ap-5709	255	7	φc(ξ	φc(ξ	NOUN
ap-5709	255	8	)	)	PUNCT
ap-5709	255	9	,	,	PUNCT
ap-5709	255	10	is	be	AUX
ap-5709	255	11	determined	determine	VERB
ap-5709	255	12	by	by	ADP
ap-5709	255	13	[	[	X
ap-5709	255	14	4	4	NUM
ap-5709	255	15	,	,	PUNCT
ap-5709	255	16	(	(	PUNCT
ap-5709	255	17	29	29	NUM
ap-5709	255	18	)	)	PUNCT
ap-5709	255	19	]	]	PUNCT
ap-5709	255	20	,	,	PUNCT
ap-5709	255	21	with	with	ADP
ap-5709	255	22	φc,∞	φc,∞	PROPN
ap-5709	255	23	=	=	PROPN
ap-5709	255	24	0.2	0.2	NUM
ap-5709	255	25	,	,	PUNCT
ap-5709	255	26	and	and	CCONJ
ap-5709	255	27	aφ	aφ	VERB
ap-5709	255	28	=	=	NOUN
ap-5709	255	29	0.35	0.35	NUM
ap-5709	256	1	[	[	X
ap-5709	256	2	4	4	NUM
ap-5709	256	3	,	,	PUNCT
ap-5709	256	4	fig	fig	NOUN
ap-5709	256	5	.	.	PUNCT
ap-5709	257	1	1	1	NUM
ap-5709	257	2	]	]	PUNCT
ap-5709	257	3	.	.	PUNCT
ap-5709	258	1	the	the	DET
ap-5709	258	2	porosity	porosity	NOUN
ap-5709	258	3	of	of	ADP
ap-5709	258	4	aggregate	aggregate	ADJ
ap-5709	258	5	,	,	PUNCT
ap-5709	258	6	φa	φa	ADP
ap-5709	258	7	,	,	PUNCT
ap-5709	258	8	is	be	AUX
ap-5709	258	9	set	set	VERB
ap-5709	258	10	to	to	ADP
ap-5709	258	11	a	a	DET
ap-5709	258	12	constant	constant	ADJ
ap-5709	258	13	value	value	NOUN
ap-5709	258	14	φa	φa	ADP
ap-5709	258	15	=	=	NOUN
ap-5709	258	16	0.05	0.05	NUM
ap-5709	258	17	,	,	PUNCT
ap-5709	258	18	see	see	VERB
ap-5709	259	1	e.g.	e.g.	ADV
ap-5709	259	2	[	[	X
ap-5709	259	3	33	33	NUM
ap-5709	259	4	]	]	PUNCT
ap-5709	259	5	.	.	PUNCT
ap-5709	260	1	the	the	DET
ap-5709	260	2	intrinsic	intrinsic	ADJ
ap-5709	260	3	permeability	permeability	NOUN
ap-5709	260	4	of	of	ADP
ap-5709	260	5	cement	cement	NOUN
ap-5709	260	6	paste	paste	NOUN
ap-5709	260	7	,	,	PUNCT
ap-5709	260	8	kc(ξ	kc(ξ	PROPN
ap-5709	260	9	)	)	PUNCT
ap-5709	260	10	,	,	PUNCT
ap-5709	260	11	is	be	AUX
ap-5709	260	12	given	give	VERB
ap-5709	260	13	by	by	ADP
ap-5709	260	14	[	[	X
ap-5709	260	15	4	4	NUM
ap-5709	260	16	,	,	PUNCT
ap-5709	260	17	(	(	PUNCT
ap-5709	260	18	32	32	NUM
ap-5709	260	19	)	)	PUNCT
ap-5709	260	20	]	]	PUNCT
ap-5709	260	21	,	,	PUNCT
ap-5709	260	22	with	with	ADP
ap-5709	260	23	kc,∞	kc,∞	PROPN
ap-5709	260	24	=	=	SYM
ap-5709	260	25	10−18	10−18	NUM
ap-5709	260	26	m2	m2	PROPN
ap-5709	261	1	[	[	X
ap-5709	261	2	4	4	NUM
ap-5709	261	3	,	,	PUNCT
ap-5709	261	4	table	table	NOUN
ap-5709	261	5	i	i	PRON
ap-5709	261	6	]	]	X
ap-5709	261	7	,	,	PUNCT
ap-5709	261	8	[	[	X
ap-5709	261	9	32	32	NUM
ap-5709	261	10	,	,	PUNCT
ap-5709	261	11	p.	p.	NOUN
ap-5709	261	12	308	308	NUM
ap-5709	261	13	]	]	PUNCT
ap-5709	261	14	and	and	CCONJ
ap-5709	261	15	ak	ak	PROPN
ap-5709	261	16	=	=	NOUN
ap-5709	261	17	8	8	NUM
ap-5709	262	1	[	[	SYM
ap-5709	262	2	4	4	NUM
ap-5709	262	3	,	,	PUNCT
ap-5709	262	4	p.	p.	NOUN
ap-5709	262	5	312	312	NUM
ap-5709	262	6	]	]	PUNCT
ap-5709	262	7	.	.	PUNCT
ap-5709	263	1	the	the	DET
ap-5709	263	2	intrinsic	intrinsic	ADJ
ap-5709	263	3	permeability	permeability	NOUN
ap-5709	263	4	of	of	ADP
ap-5709	263	5	aggregate	aggregate	ADJ
ap-5709	263	6	,	,	PUNCT
ap-5709	263	7	ka	ka	PROPN
ap-5709	263	8	,	,	PUNCT
ap-5709	263	9	is	be	AUX
ap-5709	263	10	set	set	VERB
ap-5709	263	11	to	to	ADP
ap-5709	263	12	a	a	DET
ap-5709	263	13	constant	constant	ADJ
ap-5709	263	14	value	value	NOUN
ap-5709	263	15	ka	ka	PROPN
ap-5709	264	1	=	=	PROPN
ap-5709	264	2	10−20	10−20	PROPN
ap-5709	264	3	m2	m2	PROPN
ap-5709	264	4	,	,	PUNCT
ap-5709	264	5	see	see	VERB
ap-5709	264	6	e.g.	e.g.	ADV
ap-5709	264	7	[	[	X
ap-5709	264	8	33	33	NUM
ap-5709	264	9	]	]	PUNCT
ap-5709	264	10	.	.	PUNCT
ap-5709	265	1	the	the	DET
ap-5709	265	2	thermal	thermal	ADJ
ap-5709	265	3	conductivity	conductivity	NOUN
ap-5709	265	4	of	of	ADP
ap-5709	265	5	cement	cement	NOUN
ap-5709	265	6	paste	paste	NOUN
ap-5709	265	7	and	and	CCONJ
ap-5709	265	8	aggregate	aggregate	ADJ
ap-5709	265	9	,	,	PUNCT
ap-5709	265	10	λc(p	λc(p	NOUN
ap-5709	265	11	,	,	PUNCT
ap-5709	265	12	ξ	ξ	NOUN
ap-5709	265	13	)	)	PUNCT
ap-5709	265	14	and	and	CCONJ
ap-5709	265	15	λa(p	λa(p	NOUN
ap-5709	265	16	)	)	PUNCT
ap-5709	265	17	,	,	PUNCT
ap-5709	265	18	respectively	respectively	ADV
ap-5709	265	19	,	,	PUNCT
ap-5709	265	20	is	be	AUX
ap-5709	265	21	determined	determine	VERB
ap-5709	265	22	by	by	ADP
ap-5709	265	23	[	[	X
ap-5709	265	24	4	4	NUM
ap-5709	265	25	,	,	PUNCT
ap-5709	265	26	(	(	PUNCT
ap-5709	265	27	37	37	NUM
ap-5709	265	28	)	)	PUNCT
ap-5709	265	29	]	]	PUNCT
ap-5709	265	30	with	with	ADP
ap-5709	265	31	the	the	DET
ap-5709	265	32	constant	constant	ADJ
ap-5709	265	33	thermal	thermal	ADJ
ap-5709	265	34	conductivity	conductivity	NOUN
ap-5709	265	35	of	of	ADP
ap-5709	265	36	a	a	DET
ap-5709	265	37	dry	dry	ADJ
ap-5709	265	38	material	material	NOUN
ap-5709	265	39	,	,	PUNCT
ap-5709	265	40	namely	namely	ADV
ap-5709	265	41	λc	λc	NOUN
ap-5709	265	42	,	,	PUNCT
ap-5709	265	43	dry	dry	ADJ
ap-5709	265	44	=	=	SYM
ap-5709	265	45	1.0	1.0	NUM
ap-5709	265	46	w	w	VERB
ap-5709	265	47	m−1	m−1	PROPN
ap-5709	265	48	k−1	k−1	PROPN
ap-5709	265	49	and	and	CCONJ
ap-5709	265	50	λa	λa	INTJ
ap-5709	265	51	,	,	PUNCT
ap-5709	265	52	dry	dry	ADJ
ap-5709	265	53	=	=	VERB
ap-5709	265	54	2.4	2.4	NUM
ap-5709	265	55	w	w	VERB
ap-5709	265	56	m−1	m−1	PROPN
ap-5709	265	57	k−1	k−1	PROPN
ap-5709	266	1	[	[	X
ap-5709	266	2	16	16	NUM
ap-5709	266	3	,	,	PUNCT
ap-5709	266	4	p.	p.	NOUN
ap-5709	266	5	136	136	NUM
ap-5709	266	6	,	,	PUNCT
ap-5709	266	7	table	table	NOUN
ap-5709	266	8	1	1	NUM
ap-5709	266	9	]	]	PUNCT
ap-5709	266	10	.	.	PUNCT
ap-5709	267	1	the	the	DET
ap-5709	267	2	degree	degree	NOUN
ap-5709	267	3	of	of	ADP
ap-5709	267	4	the	the	DET
ap-5709	267	5	saturation	saturation	NOUN
ap-5709	267	6	with	with	ADP
ap-5709	267	7	liquid	liquid	ADJ
ap-5709	267	8	water	water	NOUN
ap-5709	267	9	,	,	PUNCT
ap-5709	267	10	s	s	AUX
ap-5709	267	11	,	,	PUNCT
ap-5709	267	12	is	be	AUX
ap-5709	267	13	taken	take	VERB
ap-5709	267	14	from	from	ADP
ap-5709	267	15	[	[	X
ap-5709	267	16	34	34	NUM
ap-5709	267	17	,	,	PUNCT
ap-5709	267	18	(	(	PUNCT
ap-5709	267	19	20	20	NUM
ap-5709	267	20	)	)	PUNCT
ap-5709	267	21	]	]	PUNCT
ap-5709	267	22	with	with	SCONJ
ap-5709	267	23	the	the	DET
ap-5709	267	24	material	material	NOUN
ap-5709	267	25	parameters	parameter	NOUN
ap-5709	267	26	specified	specify	VERB
ap-5709	267	27	in	in	ADP
ap-5709	267	28	[	[	X
ap-5709	267	29	34	34	NUM
ap-5709	267	30	,	,	PUNCT
ap-5709	267	31	table	table	NOUN
ap-5709	267	32	5	5	NUM
ap-5709	267	33	]	]	PUNCT
ap-5709	267	34	for	for	ADP
ap-5709	267	35	ordinary	ordinary	ADJ
ap-5709	267	36	concrete	concrete	NOUN
ap-5709	267	37	(	(	PUNCT
ap-5709	267	38	a	a	DET
ap-5709	267	39	=	=	SYM
ap-5709	267	40	18.6237	18.6237	NUM
ap-5709	267	41	mpa	mpa	PROPN
ap-5709	267	42	,	,	PUNCT
ap-5709	267	43	b	b	X
ap-5709	267	44	=	=	SYM
ap-5709	267	45	2.2748	2.2748	NUM
ap-5709	267	46	)	)	PUNCT
ap-5709	267	47	.	.	PUNCT
ap-5709	268	1	here	here	ADV
ap-5709	268	2	,	,	PUNCT
ap-5709	268	3	we	we	PRON
ap-5709	268	4	follow	follow	VERB
ap-5709	268	5	a	a	DET
ap-5709	268	6	simplified	simplified	ADJ
ap-5709	268	7	assumption	assumption	NOUN
ap-5709	268	8	that	that	SCONJ
ap-5709	268	9	the	the	DET
ap-5709	268	10	capillary	capillary	ADJ
ap-5709	268	11	pressure	pressure	NOUN
ap-5709	268	12	,	,	PUNCT
ap-5709	268	13	pc	pc	NOUN
ap-5709	268	14	,	,	PUNCT
ap-5709	268	15	and	and	CCONJ
ap-5709	268	16	the	the	DET
ap-5709	268	17	liquid	liquid	ADJ
ap-5709	268	18	water	water	NOUN
ap-5709	268	19	pressure	pressure	NOUN
ap-5709	268	20	,	,	PUNCT
ap-5709	268	21	p	p	PRON
ap-5709	268	22	,	,	PUNCT
ap-5709	268	23	are	be	AUX
ap-5709	268	24	in	in	ADP
ap-5709	268	25	the	the	DET
ap-5709	268	26	relation	relation	NOUN
ap-5709	268	27	pc	pc	NOUN
ap-5709	268	28	=	=	NOUN
ap-5709	268	29	patm	patm	NOUN
ap-5709	269	1	−	−	PROPN
ap-5709	269	2	p	p	NOUN
ap-5709	269	3	with	with	ADP
ap-5709	269	4	patm	patm	PROPN
ap-5709	269	5	being	be	AUX
ap-5709	269	6	the	the	DET
ap-5709	269	7	atmospheric	atmospheric	ADJ
ap-5709	269	8	pressure	pressure	NOUN
ap-5709	269	9	[	[	X
ap-5709	269	10	4	4	NUM
ap-5709	269	11	,	,	PUNCT
ap-5709	269	12	pp	pp	ADJ
ap-5709	269	13	.	.	PUNCT
ap-5709	270	1	305–306	305–306	NUM
ap-5709	270	2	]	]	PUNCT
ap-5709	270	3	,	,	PUNCT
ap-5709	270	4	[	[	X
ap-5709	270	5	13	13	NUM
ap-5709	270	6	,	,	PUNCT
ap-5709	270	7	chapter	chapter	NOUN
ap-5709	270	8	4.2.2	4.2.2	NUM
ap-5709	270	9	]	]	PUNCT
ap-5709	270	10	.	.	PUNCT
ap-5709	271	1	the	the	DET
ap-5709	271	2	relative	relative	ADJ
ap-5709	271	3	hydraulic	hydraulic	ADJ
ap-5709	271	4	conductivity	conductivity	NOUN
ap-5709	271	5	,	,	PUNCT
ap-5709	271	6	kr(s	kr(s	NOUN
ap-5709	271	7	)	)	PUNCT
ap-5709	271	8	,	,	PUNCT
ap-5709	271	9	and	and	CCONJ
ap-5709	271	10	the	the	DET
ap-5709	271	11	dynamic	dynamic	ADJ
ap-5709	271	12	viscosity	viscosity	NOUN
ap-5709	271	13	,	,	PUNCT
ap-5709	271	14	µ(ϑ	µ(ϑ	PROPN
ap-5709	271	15	)	)	PUNCT
ap-5709	271	16	,	,	PUNCT
ap-5709	271	17	respectively	respectively	ADV
ap-5709	271	18	,	,	PUNCT
ap-5709	271	19	are	be	AUX
ap-5709	271	20	adopted	adopt	VERB
ap-5709	271	21	from	from	ADP
ap-5709	271	22	[	[	X
ap-5709	271	23	34	34	NUM
ap-5709	271	24	,	,	PUNCT
ap-5709	271	25	(	(	PUNCT
ap-5709	271	26	21	21	NUM
ap-5709	271	27	)	)	PUNCT
ap-5709	271	28	]	]	PUNCT
ap-5709	271	29	,	,	PUNCT
ap-5709	272	1	[	[	X
ap-5709	272	2	35	35	NUM
ap-5709	272	3	,	,	PUNCT
ap-5709	272	4	(	(	PUNCT
ap-5709	272	5	38	38	NUM
ap-5709	272	6	)	)	PUNCT
ap-5709	272	7	]	]	PUNCT
ap-5709	272	8	,	,	PUNCT
ap-5709	272	9	and	and	CCONJ
ap-5709	272	10	[	[	X
ap-5709	272	11	35	35	NUM
ap-5709	272	12	,	,	PUNCT
ap-5709	272	13	(	(	PUNCT
ap-5709	272	14	ai.8	ai.8	PROPN
ap-5709	272	15	)	)	PUNCT
ap-5709	272	16	]	]	PUNCT
ap-5709	272	17	.	.	PUNCT
ap-5709	273	1	the	the	DET
ap-5709	273	2	hydration	hydration	NOUN
ap-5709	273	3	degree	degree	NOUN
ap-5709	273	4	rate	rate	NOUN
ap-5709	273	5	f	f	PROPN
ap-5709	273	6	is	be	AUX
ap-5709	273	7	determined	determine	VERB
ap-5709	273	8	as	as	ADP
ap-5709	273	9	(	(	PUNCT
ap-5709	273	10	e.g.	e.g.	ADV
ap-5709	273	11	[	[	X
ap-5709	273	12	4	4	NUM
ap-5709	273	13	,	,	PUNCT
ap-5709	273	14	(	(	PUNCT
ap-5709	273	15	23	23	NUM
ap-5709	273	16	)	)	PUNCT
ap-5709	273	17	]	]	PUNCT
ap-5709	273	18	,	,	PUNCT
ap-5709	273	19	[	[	X
ap-5709	273	20	16	16	NUM
ap-5709	273	21	,	,	PUNCT
ap-5709	273	22	(	(	PUNCT
ap-5709	273	23	7	7	NUM
ap-5709	273	24	)	)	PUNCT
ap-5709	273	25	]	]	PUNCT
ap-5709	273	26	,	,	PUNCT
ap-5709	273	27	[	[	X
ap-5709	273	28	32	32	NUM
ap-5709	273	29	,	,	PUNCT
ap-5709	273	30	(	(	PUNCT
ap-5709	273	31	13.31)–(13.35	13.31)–(13.35	NUM
ap-5709	273	32	)	)	PUNCT
ap-5709	273	33	]	]	PUNCT
ap-5709	273	34	)	)	PUNCT
ap-5709	274	1	f	f	PROPN
ap-5709	274	2	=	=	SYM
ap-5709	274	3	a(ξ)βϑ(ϑ)βrh(rh(p	a(ξ)βϑ(ϑ)βrh(rh(p	PROPN
ap-5709	274	4	,	,	PUNCT
ap-5709	274	5	ϑ	ϑ	NOUN
ap-5709	274	6	)	)	PUNCT
ap-5709	274	7	)	)	PUNCT
ap-5709	274	8	,	,	PUNCT
ap-5709	274	9	(	(	PUNCT
ap-5709	274	10	26	26	NUM
ap-5709	274	11	)	)	PUNCT
ap-5709	274	12	where	where	SCONJ
ap-5709	274	13	the	the	DET
ap-5709	274	14	formulae	formulae	NOUN
ap-5709	274	15	and	and	CCONJ
ap-5709	274	16	most	most	ADJ
ap-5709	274	17	of	of	ADP
ap-5709	274	18	the	the	DET
ap-5709	274	19	material	material	NOUN
ap-5709	274	20	parameters	parameter	NOUN
ap-5709	274	21	for	for	ADP
ap-5709	274	22	a(ξ	a(ξ	PROPN
ap-5709	274	23	)	)	PUNCT
ap-5709	274	24	,	,	PUNCT
ap-5709	274	25	βϑ(ϑ	βϑ(ϑ	NOUN
ap-5709	274	26	)	)	PUNCT
ap-5709	274	27	,	,	PUNCT
ap-5709	274	28	and	and	CCONJ
ap-5709	274	29	βrh(rh(p	βrh(rh(p	PROPN
ap-5709	274	30	,	,	PUNCT
ap-5709	274	31	ϑ	ϑ	NOUN
ap-5709	274	32	)	)	PUNCT
ap-5709	274	33	,	,	PUNCT
ap-5709	274	34	are	be	AUX
ap-5709	274	35	adopted	adopt	VERB
ap-5709	274	36	from	from	ADP
ap-5709	274	37	[	[	X
ap-5709	274	38	16	16	NUM
ap-5709	274	39	,	,	PUNCT
ap-5709	274	40	32	32	NUM
ap-5709	274	41	]	]	PUNCT
ap-5709	274	42	with	with	ADP
ap-5709	274	43	:	:	PUNCT
ap-5709	274	44	b1	b1	NOUN
ap-5709	274	45	=	=	SYM
ap-5709	274	46	23.4/(24×3600	23.4/(24×3600	NUM
ap-5709	274	47	)	)	PUNCT
ap-5709	274	48	s−1	s−1	PROPN
ap-5709	274	49	,	,	PUNCT
ap-5709	274	50	b2	b2	NOUN
ap-5709	274	51	=	=	SYM
ap-5709	274	52	7×10−4	7×10−4	NOUN
ap-5709	274	53	,	,	PUNCT
ap-5709	274	54	η	η	PROPN
ap-5709	274	55	=	=	PROPN
ap-5709	274	56	6.7	6.7	NUM
ap-5709	274	57	,	,	PUNCT
ap-5709	274	58	qe	qe	PROPN
ap-5709	274	59	/	/	SYM
ap-5709	274	60	r	r	NOUN
ap-5709	274	61	=	=	SYM
ap-5709	274	62	4600	4600	NUM
ap-5709	274	63	k	k	NOUN
ap-5709	274	64	,	,	PUNCT
ap-5709	274	65	and	and	CCONJ
ap-5709	274	66	αe	αe	X
ap-5709	274	67	=	=	ADJ
ap-5709	274	68	7.5	7.5	NUM
ap-5709	274	69	.	.	PUNCT
ap-5709	275	1	the	the	DET
ap-5709	275	2	notation	notation	NOUN
ap-5709	275	3	is	be	AUX
ap-5709	275	4	taken	take	VERB
ap-5709	275	5	from	from	ADP
ap-5709	275	6	[	[	X
ap-5709	275	7	32	32	NUM
ap-5709	275	8	]	]	PUNCT
ap-5709	275	9	.	.	PUNCT
ap-5709	276	1	the	the	DET
ap-5709	276	2	relative	relative	ADJ
ap-5709	276	3	humidity	humidity	NOUN
ap-5709	276	4	,	,	PUNCT
ap-5709	276	5	rh	rh	PROPN
ap-5709	276	6	,	,	PUNCT
ap-5709	276	7	is	be	AUX
ap-5709	276	8	calculated	calculate	VERB
ap-5709	276	9	from	from	ADP
ap-5709	276	10	[	[	X
ap-5709	276	11	4	4	NUM
ap-5709	276	12	,	,	PUNCT
ap-5709	276	13	(	(	PUNCT
ap-5709	276	14	12	12	NUM
ap-5709	276	15	)	)	PUNCT
ap-5709	276	16	]	]	PUNCT
ap-5709	276	17	,	,	PUNCT
ap-5709	276	18	by	by	ADP
ap-5709	276	19	assuming	assume	VERB
ap-5709	276	20	pc	pc	NOUN
ap-5709	276	21	=	=	NOUN
ap-5709	276	22	patm	patm	NOUN
ap-5709	276	23	−	−	PROPN
ap-5709	276	24	p	p	X
ap-5709	276	25	(	(	PUNCT
ap-5709	276	26	see	see	VERB
ap-5709	276	27	above	above	ADV
ap-5709	276	28	)	)	PUNCT
ap-5709	276	29	.	.	PUNCT
ap-5709	277	1	the	the	DET
ap-5709	277	2	ultimate	ultimate	ADJ
ap-5709	277	3	hydration	hydration	NOUN
ap-5709	277	4	degree	degree	NOUN
ap-5709	277	5	,	,	PUNCT
ap-5709	277	6	ξ∞	ξ∞	NOUN
ap-5709	277	7	,	,	PUNCT
ap-5709	277	8	is	be	AUX
ap-5709	277	9	set	set	VERB
ap-5709	277	10	to	to	ADP
ap-5709	277	11	ξ∞	ξ∞	PROPN
ap-5709	277	12	=	=	NOUN
ap-5709	277	13	0.8	0.8	NUM
ap-5709	277	14	(	(	PUNCT
ap-5709	277	15	see	see	VERB
ap-5709	277	16	[	[	X
ap-5709	277	17	2	2	NUM
ap-5709	277	18	,	,	PUNCT
ap-5709	277	19	(	(	PUNCT
ap-5709	277	20	13	13	NUM
ap-5709	277	21	)	)	PUNCT
ap-5709	277	22	]	]	PUNCT
ap-5709	277	23	,	,	PUNCT
ap-5709	278	1	[	[	X
ap-5709	278	2	16	16	NUM
ap-5709	278	3	,	,	PUNCT
ap-5709	278	4	(	(	PUNCT
ap-5709	278	5	9),(10	9),(10	NOUN
ap-5709	278	6	)	)	PUNCT
ap-5709	278	7	]	]	PUNCT
ap-5709	278	8	)	)	PUNCT
ap-5709	278	9	.	.	PUNCT
ap-5709	279	1	the	the	DET
ap-5709	279	2	constants	constant	NOUN
ap-5709	279	3	α1	α1	PROPN
ap-5709	279	4	and	and	CCONJ
ap-5709	279	5	α2	α2	ADJ
ap-5709	279	6	in	in	ADP
ap-5709	279	7	the	the	DET
ap-5709	279	8	source	source	NOUN
ap-5709	279	9	terms	term	NOUN
ap-5709	279	10	in	in	ADP
ap-5709	279	11	equations	equation	NOUN
ap-5709	279	12	(	(	PUNCT
ap-5709	279	13	1),(2	1),(2	NUM
ap-5709	279	14	)	)	PUNCT
ap-5709	279	15	,	,	PUNCT
ap-5709	279	16	or	or	CCONJ
ap-5709	279	17	(	(	PUNCT
ap-5709	279	18	5),(6	5),(6	NUM
ap-5709	279	19	)	)	PUNCT
ap-5709	279	20	,	,	PUNCT
ap-5709	279	21	respectively	respectively	ADV
ap-5709	279	22	,	,	PUNCT
ap-5709	279	23	are	be	AUX
ap-5709	279	24	assumed	assume	VERB
ap-5709	279	25	19	19	NUM
ap-5709	279	26	michal	michal	PROPN
ap-5709	279	27	beneš	beneš	PROPN
ap-5709	279	28	,	,	PUNCT
ap-5709	279	29	radek	radek	PROPN
ap-5709	279	30	štefan	štefan	PROPN
ap-5709	279	31	acta	acta	PROPN
ap-5709	279	32	polytechnica	polytechnica	PROPN
ap-5709	279	33	0	0	NUM
ap-5709	279	34	50	50	NUM
ap-5709	279	35	100	100	NUM
ap-5709	279	36	150	150	NUM
ap-5709	279	37	200	200	NUM
ap-5709	280	1	xd	xd	INTJ
ap-5709	280	2	(	(	PUNCT
ap-5709	280	3	mm	mm	INTJ
ap-5709	280	4	)	)	PUNCT
ap-5709	280	5	-2.82	-2.82	NOUN
ap-5709	280	6	-2.815	-2.815	NOUN
ap-5709	280	7	-2.81	-2.81	NUM
ap-5709	280	8	-2.805	-2.805	PROPN
ap-5709	280	9	-2.8	-2.8	ADJ
ap-5709	280	10	-2.795	-2.795	INTJ
ap-5709	280	11	-2.79	-2.79	X
ap-5709	280	12	-2.785	-2.785	X
ap-5709	280	13	w	w	NOUN
ap-5709	280	14	a	a	DET
ap-5709	280	15	te	te	ADP
ap-5709	280	16	r	r	NOUN
ap-5709	280	17	p	p	NOUN
ap-5709	280	18	re	re	ADP
ap-5709	280	19	ss	ss	NOUN
ap-5709	280	20	u	u	NOUN
ap-5709	280	21	re	re	X
ap-5709	280	22	(	(	PUNCT
ap-5709	280	23	p	p	X
ap-5709	280	24	a	a	NOUN
ap-5709	280	25	)	)	PUNCT
ap-5709	280	26	#	#	SYM
ap-5709	280	27	106	106	NUM
ap-5709	280	28	t	t	NOUN
ap-5709	280	29	=	=	SYM
ap-5709	280	30	8	8	NUM
ap-5709	280	31	h	h	NOUN
ap-5709	280	32	,	,	PUNCT
ap-5709	280	33	variant	variant	NOUN
ap-5709	280	34	s	s	PART
ap-5709	280	35	#	#	NOUN
ap-5709	280	36	p	p	NOUN
ap-5709	280	37	2	2	NUM
ap-5709	280	38	p	p	NOUN
ap-5709	280	39	"	"	PUNCT
ap-5709	280	40	p(fe	p(fe	NUM
ap-5709	280	41	)	)	PUNCT
ap-5709	280	42	p(approx	p(approx	NOUN
ap-5709	280	43	:)	:)	NOUN
ap-5709	280	44	0	0	NUM
ap-5709	280	45	50	50	NUM
ap-5709	280	46	100	100	NUM
ap-5709	280	47	150	150	NUM
ap-5709	280	48	200	200	NUM
ap-5709	280	49	xd	xd	INTJ
ap-5709	280	50	(	(	PUNCT
ap-5709	280	51	mm	mm	INTJ
ap-5709	280	52	)	)	PUNCT
ap-5709	280	53	-3.07	-3.07	NOUN
ap-5709	280	54	-3.065	-3.065	PROPN
ap-5709	280	55	-3.06	-3.06	ADV
ap-5709	281	1	-3.055	-3.055	PROPN
ap-5709	282	1	-3.05	-3.05	ADJ
ap-5709	282	2	-3.045	-3.045	ADJ
ap-5709	282	3	-3.04	-3.04	NOUN
ap-5709	282	4	w	w	NOUN
ap-5709	282	5	a	a	DET
ap-5709	282	6	te	te	ADP
ap-5709	282	7	r	r	NOUN
ap-5709	282	8	p	p	NOUN
ap-5709	282	9	re	re	ADP
ap-5709	282	10	ss	ss	NOUN
ap-5709	282	11	u	u	NOUN
ap-5709	282	12	re	re	X
ap-5709	282	13	(	(	PUNCT
ap-5709	282	14	p	p	X
ap-5709	282	15	a	a	NOUN
ap-5709	282	16	)	)	PUNCT
ap-5709	282	17	#	#	SYM
ap-5709	282	18	106	106	NUM
ap-5709	282	19	t	t	NOUN
ap-5709	282	20	=	=	SYM
ap-5709	282	21	8	8	NUM
ap-5709	282	22	h	h	NOUN
ap-5709	282	23	,	,	PUNCT
ap-5709	282	24	variant	variant	ADJ
ap-5709	282	25	r	r	NOUN
ap-5709	282	26	#	#	NOUN
ap-5709	282	27	p	p	NOUN
ap-5709	282	28	2	2	NUM
ap-5709	282	29	p	p	NOUN
ap-5709	282	30	"	"	PUNCT
ap-5709	282	31	p(fe	p(fe	NUM
ap-5709	282	32	)	)	PUNCT
ap-5709	282	33	p(approx	p(approx	NOUN
ap-5709	282	34	:)	:)	NOUN
ap-5709	282	35	0	0	NUM
ap-5709	282	36	50	50	NUM
ap-5709	282	37	100	100	NUM
ap-5709	282	38	150	150	NUM
ap-5709	282	39	200	200	NUM
ap-5709	282	40	xd	xd	INTJ
ap-5709	282	41	(	(	PUNCT
ap-5709	282	42	mm	mm	NOUN
ap-5709	282	43	)	)	PUNCT
ap-5709	282	44	36	36	NUM
ap-5709	282	45	37	37	NUM
ap-5709	282	46	38	38	NUM
ap-5709	282	47	39	39	NUM
ap-5709	282	48	40	40	NUM
ap-5709	282	49	41	41	NUM
ap-5709	282	50	42	42	NUM
ap-5709	282	51	t	t	NOUN
ap-5709	282	52	em	em	PRON
ap-5709	283	1	p	p	X
ap-5709	283	2	er	er	INTJ
ap-5709	283	3	a	a	DET
ap-5709	283	4	tu	tu	PROPN
ap-5709	283	5	re	re	X
ap-5709	283	6	(	(	PUNCT
ap-5709	283	7	/	/	SYM
ap-5709	283	8	c	c	NOUN
ap-5709	283	9	)	)	PUNCT
ap-5709	283	10	t	t	PROPN
ap-5709	284	1	=	=	SYM
ap-5709	284	2	8	8	NUM
ap-5709	284	3	h	h	NOUN
ap-5709	284	4	,	,	PUNCT
ap-5709	284	5	variant	variant	NOUN
ap-5709	284	6	s	s	PART
ap-5709	284	7	#	#	NOUN
ap-5709	284	8	p	p	NOUN
ap-5709	284	9	2	2	NUM
ap-5709	284	10	#	#	NOUN
ap-5709	284	11	"	"	PUNCT
ap-5709	284	12	#	#	SYM
ap-5709	284	13	(	(	PUNCT
ap-5709	284	14	fe	fe	NOUN
ap-5709	284	15	)	)	PUNCT
ap-5709	284	16	#	#	PROPN
ap-5709	284	17	(	(	PUNCT
ap-5709	284	18	approx	approx	NOUN
ap-5709	284	19	:)	:)	NOUN
ap-5709	284	20	0	0	NUM
ap-5709	285	1	50	50	NUM
ap-5709	285	2	100	100	NUM
ap-5709	285	3	150	150	NUM
ap-5709	285	4	200	200	NUM
ap-5709	285	5	xd	xd	INTJ
ap-5709	285	6	(	(	PUNCT
ap-5709	285	7	mm	mm	NOUN
ap-5709	285	8	)	)	PUNCT
ap-5709	285	9	50	50	NUM
ap-5709	285	10	52	52	NUM
ap-5709	285	11	54	54	NUM
ap-5709	285	12	56	56	NUM
ap-5709	285	13	58	58	NUM
ap-5709	285	14	60	60	NUM
ap-5709	285	15	62	62	NUM
ap-5709	285	16	64	64	NUM
ap-5709	285	17	t	t	NOUN
ap-5709	285	18	em	em	PRON
ap-5709	285	19	p	p	X
ap-5709	286	1	er	er	INTJ
ap-5709	286	2	a	a	DET
ap-5709	286	3	tu	tu	PROPN
ap-5709	286	4	re	re	X
ap-5709	286	5	(	(	PUNCT
ap-5709	286	6	/	/	SYM
ap-5709	286	7	c	c	NOUN
ap-5709	286	8	)	)	PUNCT
ap-5709	286	9	t	t	NOUN
ap-5709	286	10	=	=	SYM
ap-5709	286	11	8	8	NUM
ap-5709	286	12	h	h	NOUN
ap-5709	286	13	,	,	PUNCT
ap-5709	286	14	variant	variant	ADJ
ap-5709	286	15	r	r	NOUN
ap-5709	286	16	#	#	NOUN
ap-5709	286	17	p	p	NOUN
ap-5709	286	18	2	2	NUM
ap-5709	286	19	#	#	NOUN
ap-5709	286	20	"	"	PUNCT
ap-5709	286	21	#	#	SYM
ap-5709	286	22	(	(	PUNCT
ap-5709	286	23	fe	fe	NOUN
ap-5709	286	24	)	)	PUNCT
ap-5709	286	25	#	#	PROPN
ap-5709	286	26	(	(	PUNCT
ap-5709	286	27	approx	approx	NOUN
ap-5709	286	28	:)	:)	NOUN
ap-5709	286	29	0	0	NUM
ap-5709	286	30	50	50	NUM
ap-5709	286	31	100	100	NUM
ap-5709	286	32	150	150	NUM
ap-5709	286	33	200	200	NUM
ap-5709	286	34	xd	xd	INTJ
ap-5709	286	35	(	(	PUNCT
ap-5709	286	36	mm	mm	NOUN
ap-5709	286	37	)	)	PUNCT
ap-5709	286	38	0	0	NUM
ap-5709	287	1	0.05	0.05	NUM
ap-5709	287	2	0.1	0.1	NUM
ap-5709	287	3	0.15	0.15	NUM
ap-5709	287	4	0.2	0.2	NUM
ap-5709	287	5	0.25	0.25	NUM
ap-5709	287	6	h	h	NOUN
ap-5709	287	7	y	y	PROPN
ap-5709	288	1	d	d	X
ap-5709	288	2	ra	ra	NOUN
ap-5709	288	3	ti	ti	NOUN
ap-5709	288	4	o	o	NOUN
ap-5709	288	5	n	n	PROPN
ap-5709	288	6	d	d	X
ap-5709	288	7	eg	eg	X
ap-5709	288	8	re	re	ADP
ap-5709	288	9	e	e	X
ap-5709	288	10	(	(	PUNCT
ap-5709	288	11	)	)	PUNCT
ap-5709	288	12	t	t	NOUN
ap-5709	288	13	=	=	SYM
ap-5709	288	14	8	8	NUM
ap-5709	288	15	h	h	NOUN
ap-5709	288	16	,	,	PUNCT
ap-5709	288	17	variant	variant	NOUN
ap-5709	288	18	s	s	PART
ap-5709	288	19	#	#	NOUN
ap-5709	288	20	p	p	NOUN
ap-5709	288	21	2	2	NUM
ap-5709	288	22	9	9	NUM
ap-5709	288	23	"	"	PUNCT
ap-5709	288	24	9(fe	9(fe	NOUN
ap-5709	288	25	)	)	PUNCT
ap-5709	288	26	9(approx	9(approx	NOUN
ap-5709	288	27	:)	:)	NOUN
ap-5709	288	28	0	0	NUM
ap-5709	288	29	50	50	NUM
ap-5709	288	30	100	100	NUM
ap-5709	288	31	150	150	NUM
ap-5709	288	32	200	200	NUM
ap-5709	288	33	xd	xd	INTJ
ap-5709	288	34	(	(	PUNCT
ap-5709	288	35	mm	mm	NOUN
ap-5709	288	36	)	)	PUNCT
ap-5709	288	37	0	0	NUM
ap-5709	288	38	0.05	0.05	NUM
ap-5709	288	39	0.1	0.1	NUM
ap-5709	288	40	0.15	0.15	NUM
ap-5709	288	41	0.2	0.2	NUM
ap-5709	288	42	0.25	0.25	NUM
ap-5709	288	43	0.3	0.3	NUM
ap-5709	288	44	0.35	0.35	NUM
ap-5709	288	45	h	h	NOUN
ap-5709	288	46	y	y	PROPN
ap-5709	289	1	d	d	X
ap-5709	289	2	ra	ra	NOUN
ap-5709	289	3	ti	ti	NOUN
ap-5709	289	4	o	o	NOUN
ap-5709	289	5	n	n	PROPN
ap-5709	289	6	d	d	X
ap-5709	289	7	eg	eg	X
ap-5709	289	8	re	re	ADP
ap-5709	289	9	e	e	X
ap-5709	289	10	(	(	PUNCT
ap-5709	289	11	)	)	PUNCT
ap-5709	289	12	t	t	PROPN
ap-5709	289	13	=	=	SYM
ap-5709	289	14	8	8	NUM
ap-5709	289	15	h	h	NOUN
ap-5709	289	16	,	,	PUNCT
ap-5709	289	17	variant	variant	ADJ
ap-5709	289	18	r	r	NOUN
ap-5709	289	19	#	#	NOUN
ap-5709	289	20	p	p	NOUN
ap-5709	289	21	2	2	NUM
ap-5709	289	22	9	9	NUM
ap-5709	289	23	"	"	PUNCT
ap-5709	289	24	9(fe	9(fe	NOUN
ap-5709	289	25	)	)	PUNCT
ap-5709	289	26	9(approx	9(approx	NOUN
ap-5709	289	27	:)	:)	NOUN
ap-5709	289	28	figure	figure	NOUN
ap-5709	289	29	8	8	NUM
ap-5709	289	30	.	.	PUNCT
ap-5709	290	1	water	water	NOUN
ap-5709	290	2	pressure	pressure	NOUN
ap-5709	290	3	,	,	PUNCT
ap-5709	290	4	temperature	temperature	NOUN
ap-5709	290	5	,	,	PUNCT
ap-5709	290	6	and	and	CCONJ
ap-5709	290	7	hydration	hydration	NOUN
ap-5709	290	8	degree	degree	NOUN
ap-5709	290	9	profiles	profile	NOUN
ap-5709	290	10	along	along	ADP
ap-5709	290	11	the	the	DET
ap-5709	290	12	diagonal	diagonal	NOUN
ap-5709	290	13	of	of	ADP
ap-5709	290	14	the	the	DET
ap-5709	290	15	analysed	analyse	VERB
ap-5709	290	16	section	section	NOUN
ap-5709	290	17	.	.	PUNCT
ap-5709	291	1	as	as	ADP
ap-5709	291	2	(	(	PUNCT
ap-5709	291	3	[	[	X
ap-5709	291	4	4	4	NUM
ap-5709	291	5	,	,	PUNCT
ap-5709	291	6	16	16	NUM
ap-5709	291	7	,	,	PUNCT
ap-5709	291	8	32	32	NUM
ap-5709	291	9	]	]	PUNCT
ap-5709	291	10	,	,	PUNCT
ap-5709	291	11	see	see	VERB
ap-5709	291	12	also	also	ADV
ap-5709	291	13	[	[	X
ap-5709	291	14	29	29	NUM
ap-5709	291	15	]	]	PUNCT
ap-5709	291	16	and	and	CCONJ
ap-5709	291	17	references	reference	NOUN
ap-5709	291	18	therein	therein	ADV
ap-5709	291	19	)	)	PUNCT
ap-5709	291	20	α1	α1	PROPN
ap-5709	291	21	=	=	SYM
ap-5709	291	22	−qw	−qw	NOUN
ap-5709	291	23	,	,	PUNCT
ap-5709	291	24	potmc	potmc	VERB
ap-5709	291	25	,	,	PUNCT
ap-5709	291	26	(	(	PUNCT
ap-5709	291	27	27	27	NUM
ap-5709	291	28	)	)	PUNCT
ap-5709	291	29	α2	α2	PROPN
ap-5709	291	30	=	=	SYM
ap-5709	291	31	qh	qh	PROPN
ap-5709	291	32	,	,	PUNCT
ap-5709	291	33	potmc	potmc	VERB
ap-5709	291	34	,	,	PUNCT
ap-5709	291	35	(	(	PUNCT
ap-5709	291	36	28	28	NUM
ap-5709	291	37	)	)	PUNCT
ap-5709	291	38	with	with	ADP
ap-5709	291	39	qw	qw	NOUN
ap-5709	291	40	,	,	PUNCT
ap-5709	291	41	pot	pot	NOUN
ap-5709	291	42	=	=	SYM
ap-5709	291	43	0.25	0.25	NUM
ap-5709	291	44	,	,	PUNCT
ap-5709	291	45	qh	qh	NOUN
ap-5709	291	46	,	,	PUNCT
ap-5709	291	47	pot	pot	NOUN
ap-5709	291	48	=	=	NOUN
ap-5709	291	49	510	510	NUM
ap-5709	291	50	×	×	NOUN
ap-5709	291	51	103	103	NUM
ap-5709	291	52	jkg−1	jkg−1	PROPN
ap-5709	291	53	,	,	PUNCT
ap-5709	291	54	and	and	CCONJ
ap-5709	291	55	mc	mc	PROPN
ap-5709	291	56	=	=	SYM
ap-5709	291	57	(	(	PUNCT
ap-5709	291	58	1−	1−	NUM
ap-5709	291	59	φc(0))%sc	φc(0))%sc	NOUN
ap-5709	291	60	.	.	PUNCT
ap-5709	292	1	the	the	DET
ap-5709	292	2	initial	initial	ADJ
ap-5709	292	3	conditions	condition	NOUN
ap-5709	292	4	are	be	AUX
ap-5709	292	5	set	set	VERB
ap-5709	292	6	to	to	ADP
ap-5709	292	7	p0	p0	NOUN
ap-5709	292	8	=	=	PUNCT
ap-5709	292	9	−2.155	−2.155	PROPN
ap-5709	292	10	×	×	NOUN
ap-5709	292	11	106	106	NUM
ap-5709	292	12	pa	pa	PROPN
ap-5709	292	13	(	(	PUNCT
ap-5709	292	14	s0	s0	PROPN
ap-5709	292	15	=	=	PUNCT
ap-5709	292	16	0.99	0.99	NUM
ap-5709	292	17	)	)	PUNCT
ap-5709	292	18	and	and	CCONJ
ap-5709	292	19	ϑ0	ϑ0	NOUN
ap-5709	292	20	=	=	PROPN
ap-5709	292	21	293.15	293.15	NUM
ap-5709	292	22	k.	k.	NOUN
ap-5709	293	1	the	the	DET
ap-5709	293	2	parameters	parameter	NOUN
ap-5709	293	3	of	of	ADP
ap-5709	293	4	the	the	DET
ap-5709	293	5	boundary	boundary	ADJ
ap-5709	293	6	conditions	condition	NOUN
ap-5709	293	7	are	be	AUX
ap-5709	293	8	taken	take	VERB
ap-5709	293	9	as	as	ADP
ap-5709	293	10	:	:	PUNCT
ap-5709	293	11	βc	βc	PROPN
ap-5709	293	12	=	=	SYM
ap-5709	293	13	10−30	10−30	PROPN
ap-5709	293	14	s	s	PART
ap-5709	293	15	m−1	m−1	PROPN
ap-5709	293	16	,	,	PUNCT
ap-5709	293	17	p∞	p∞	X
ap-5709	293	18	=	=	SYM
ap-5709	293	19	−6.9	−6.9	PROPN
ap-5709	293	20	×	×	NOUN
ap-5709	293	21	107	107	NUM
ap-5709	293	22	pa	pa	NOUN
ap-5709	293	23	(	(	PUNCT
ap-5709	293	24	rh∞	rh∞	PROPN
ap-5709	293	25	=	=	SYM
ap-5709	293	26	0.6	0.6	NUM
ap-5709	293	27	)	)	PUNCT
ap-5709	293	28	,	,	PUNCT
ap-5709	293	29	αc	αc	NOUN
ap-5709	293	30	=	=	NOUN
ap-5709	293	31	4	4	NUM
ap-5709	293	32	w	w	NOUN
ap-5709	293	33	m−2	m−2	PROPN
ap-5709	293	34	k−1	k−1	PROPN
ap-5709	293	35	,	,	PUNCT
ap-5709	293	36	and	and	CCONJ
ap-5709	293	37	ϑ∞	ϑ∞	PROPN
ap-5709	293	38	=	=	PUNCT
ap-5709	293	39	293.15	293.15	NUM
ap-5709	293	40	k	k	NOUN
ap-5709	293	41	,	,	PUNCT
ap-5709	293	42	for	for	ADP
ap-5709	293	43	the	the	DET
ap-5709	293	44	boundaries	boundary	NOUN
ap-5709	293	45	denoted	denote	VERB
ap-5709	293	46	as	as	ADP
ap-5709	293	47	bc1	bc1	NOUN
ap-5709	293	48	in	in	ADP
ap-5709	293	49	section	section	NOUN
ap-5709	293	50	5	5	NUM
ap-5709	293	51	.	.	PUNCT
ap-5709	294	1	the	the	DET
ap-5709	294	2	boundaries	boundary	NOUN
ap-5709	294	3	denoted	denote	VERB
ap-5709	294	4	as	as	ADP
ap-5709	294	5	bc2	bc2	NOUN
ap-5709	294	6	in	in	ADP
ap-5709	294	7	section	section	NOUN
ap-5709	294	8	5	5	NUM
ap-5709	294	9	are	be	AUX
ap-5709	294	10	assumed	assume	VERB
ap-5709	294	11	to	to	PART
ap-5709	294	12	be	be	AUX
ap-5709	294	13	perfectly	perfectly	ADV
ap-5709	294	14	insulated	insulate	VERB
ap-5709	294	15	,	,	PUNCT
ap-5709	294	16	i.e.	i.e.	X
ap-5709	294	17	βc	βc	X
ap-5709	294	18	=	=	SYM
ap-5709	294	19	0	0	NUM
ap-5709	294	20	and	and	CCONJ
ap-5709	294	21	αc	αc	VERB
ap-5709	295	1	=	=	SYM
ap-5709	295	2	0	0	X
ap-5709	295	3	.	.	NOUN
ap-5709	295	4	list	list	NOUN
ap-5709	295	5	of	of	ADP
ap-5709	295	6	symbols	symbols	PROPN
ap-5709	295	7	cw	cw	PROPN
ap-5709	295	8	isobaric	isobaric	ADJ
ap-5709	295	9	heat	heat	NOUN
ap-5709	295	10	capacity	capacity	NOUN
ap-5709	295	11	of	of	ADP
ap-5709	295	12	water	water	NOUN
ap-5709	296	1	[	[	X
ap-5709	296	2	j	j	PROPN
ap-5709	296	3	kg−1	kg−1	PROPN
ap-5709	296	4	k−1	k−1	PROPN
ap-5709	296	5	]	]	PUNCT
ap-5709	296	6	csa	csa	PROPN
ap-5709	296	7	isobaric	isobaric	PROPN
ap-5709	296	8	heat	heat	NOUN
ap-5709	296	9	capacity	capacity	NOUN
ap-5709	296	10	of	of	ADP
ap-5709	296	11	aggregates	aggregate	NOUN
ap-5709	296	12	[	[	X
ap-5709	296	13	j	j	PROPN
ap-5709	296	14	kg−1	kg−1	PROPN
ap-5709	296	15	k−1	k−1	PROPN
ap-5709	296	16	]	]	PUNCT
ap-5709	296	17	csc	csc	PROPN
ap-5709	296	18	isobaric	isobaric	PROPN
ap-5709	296	19	heat	heat	NOUN
ap-5709	296	20	capacity	capacity	NOUN
ap-5709	296	21	of	of	ADP
ap-5709	296	22	cement	cement	NOUN
ap-5709	296	23	paste	paste	NOUN
ap-5709	296	24	[	[	X
ap-5709	296	25	j	j	PROPN
ap-5709	296	26	kg−1	kg−1	PROPN
ap-5709	296	27	k−1	k−1	PROPN
ap-5709	296	28	]	]	PUNCT
ap-5709	296	29	20	20	NUM
ap-5709	296	30	vol	vol	NOUN
ap-5709	296	31	.	.	PUNCT
ap-5709	297	1	60	60	NUM
ap-5709	297	2	no	no	INTJ
ap-5709	297	3	.	.	PUNCT
ap-5709	298	1	1/2020	1/2020	NUM
ap-5709	298	2	homogenization	homogenization	NOUN
ap-5709	298	3	of	of	ADP
ap-5709	298	4	transport	transport	NOUN
ap-5709	298	5	processes	process	NOUN
ap-5709	298	6	and	and	CCONJ
ap-5709	298	7	hydration	hydration	NOUN
ap-5709	298	8	phenomena	phenomenon	NOUN
ap-5709	298	9	.	.	PUNCT
ap-5709	298	10	.	.	PUNCT
ap-5709	298	11	.	.	PUNCT
ap-5709	299	1	temperature	temperature	NOUN
ap-5709	299	2	(	(	PUNCT
ap-5709	299	3	/c	/c	NUM
ap-5709	299	4	)	)	PUNCT
ap-5709	299	5	,	,	PUNCT
ap-5709	299	6	t	t	PROPN
ap-5709	299	7	=	=	SYM
ap-5709	299	8	8	8	NUM
ap-5709	299	9	h	h	NOUN
ap-5709	299	10	,	,	PUNCT
ap-5709	299	11	variant	variant	NOUN
ap-5709	299	12	s	s	PART
ap-5709	299	13	38	38	NUM
ap-5709	299	14	38.5	38.5	NUM
ap-5709	299	15	38.5	38.5	NUM
ap-5709	299	16	39	39	NUM
ap-5709	299	17	39	39	NUM
ap-5709	299	18	39	39	NUM
ap-5709	299	19	39.5	39.5	NUM
ap-5709	299	20	39.5	39.5	NUM
ap-5709	299	21	39.5	39.5	NUM
ap-5709	299	22	39.5	39.5	NUM
ap-5709	299	23	40	40	NUM
ap-5709	299	24	40	40	NUM
ap-5709	299	25	40	40	NUM
ap-5709	299	26	40	40	NUM
ap-5709	299	27	40.5	40.5	NUM
ap-5709	299	28	40.5	40.5	NUM
ap-5709	299	29	40.5	40.5	NUM
ap-5709	299	30	41	41	NUM
ap-5709	299	31	41	41	NUM
ap-5709	299	32	41	41	NUM
ap-5709	299	33	41.5	41.5	NUM
ap-5709	299	34	41.5	41.5	NUM
ap-5709	299	35	0	0	NUM
ap-5709	300	1	50	50	NUM
ap-5709	300	2	100	100	NUM
ap-5709	300	3	150	150	NUM
ap-5709	300	4	200	200	NUM
ap-5709	300	5	x1	x1	PROPN
ap-5709	300	6	(	(	PUNCT
ap-5709	300	7	mm	mm	NOUN
ap-5709	300	8	)	)	PUNCT
ap-5709	300	9	0	0	NUM
ap-5709	300	10	50	50	NUM
ap-5709	300	11	100	100	NUM
ap-5709	300	12	150	150	NUM
ap-5709	300	13	200	200	NUM
ap-5709	300	14	x	x	SYM
ap-5709	300	15	2	2	NUM
ap-5709	300	16	(	(	PUNCT
ap-5709	300	17	m	m	PROPN
ap-5709	300	18	m	m	VERB
ap-5709	300	19	)	)	PUNCT
ap-5709	300	20	#	#	SYM
ap-5709	300	21	"	"	PUNCT
ap-5709	300	22	#	#	SYM
ap-5709	300	23	(	(	PUNCT
ap-5709	300	24	fe	fe	NOUN
ap-5709	300	25	)	)	PUNCT
ap-5709	300	26	#	#	PROPN
ap-5709	300	27	(	(	PUNCT
ap-5709	300	28	approx	approx	NOUN
ap-5709	300	29	:)	:)	INTJ
ap-5709	300	30	temperature	temperature	NOUN
ap-5709	300	31	(	(	PUNCT
ap-5709	300	32	/c	/c	PUNCT
ap-5709	300	33	)	)	PUNCT
ap-5709	300	34	,	,	PUNCT
ap-5709	300	35	t	t	PROPN
ap-5709	300	36	=	=	SYM
ap-5709	300	37	8	8	NUM
ap-5709	300	38	h	h	NOUN
ap-5709	300	39	,	,	PUNCT
ap-5709	300	40	variant	variant	ADJ
ap-5709	300	41	r	r	NOUN
ap-5709	300	42	5354	5354	NUM
ap-5709	300	43	55	55	NUM
ap-5709	300	44	55	55	NUM
ap-5709	300	45	56	56	NUM
ap-5709	300	46	56	56	NUM
ap-5709	300	47	56	56	NUM
ap-5709	300	48	57	57	NUM
ap-5709	300	49	57	57	NUM
ap-5709	300	50	57	57	NUM
ap-5709	300	51	57	57	NUM
ap-5709	300	52	58	58	NUM
ap-5709	300	53	58	58	NUM
ap-5709	300	54	58	58	NUM
ap-5709	300	55	58	58	NUM
ap-5709	300	56	59	59	NUM
ap-5709	300	57	59	59	NUM
ap-5709	300	58	59	59	NUM
ap-5709	300	59	60	60	NUM
ap-5709	300	60	60	60	NUM
ap-5709	300	61	60	60	NUM
ap-5709	300	62	61	61	NUM
ap-5709	300	63	61	61	NUM
ap-5709	300	64	62	62	NUM
ap-5709	300	65	62	62	NUM
ap-5709	300	66	0	0	NUM
ap-5709	300	67	50	50	NUM
ap-5709	300	68	100	100	NUM
ap-5709	300	69	150	150	NUM
ap-5709	300	70	200	200	NUM
ap-5709	300	71	x1	x1	PROPN
ap-5709	300	72	(	(	PUNCT
ap-5709	300	73	mm	mm	NOUN
ap-5709	300	74	)	)	PUNCT
ap-5709	300	75	0	0	NUM
ap-5709	300	76	50	50	NUM
ap-5709	300	77	100	100	NUM
ap-5709	300	78	150	150	NUM
ap-5709	300	79	200	200	NUM
ap-5709	300	80	x	x	SYM
ap-5709	300	81	2	2	NUM
ap-5709	300	82	(	(	PUNCT
ap-5709	300	83	m	m	PROPN
ap-5709	300	84	m	m	VERB
ap-5709	300	85	)	)	PUNCT
ap-5709	300	86	#	#	SYM
ap-5709	300	87	"	"	PUNCT
ap-5709	300	88	#	#	SYM
ap-5709	300	89	(	(	PUNCT
ap-5709	300	90	fe	fe	NOUN
ap-5709	300	91	)	)	PUNCT
ap-5709	300	92	#	#	PROPN
ap-5709	300	93	(	(	PUNCT
ap-5709	300	94	approx	approx	NOUN
ap-5709	300	95	:)	:)	INTJ
ap-5709	300	96	temperature	temperature	NOUN
ap-5709	300	97	(	(	PUNCT
ap-5709	300	98	/c	/c	PUNCT
ap-5709	300	99	)	)	PUNCT
ap-5709	300	100	,	,	PUNCT
ap-5709	300	101	t	t	PROPN
ap-5709	300	102	=	=	SYM
ap-5709	300	103	24	24	NUM
ap-5709	300	104	h	h	NOUN
ap-5709	300	105	,	,	PUNCT
ap-5709	300	106	variant	variant	NOUN
ap-5709	300	107	s	s	PART
ap-5709	300	108	5456	5456	NUM
ap-5709	300	109	58	58	NUM
ap-5709	300	110	58	58	NUM
ap-5709	300	111	58	58	NUM
ap-5709	300	112	60	60	NUM
ap-5709	300	113	60	60	NUM
ap-5709	300	114	60	60	NUM
ap-5709	300	115	60	60	NUM
ap-5709	300	116	62	62	NUM
ap-5709	300	117	62	62	NUM
ap-5709	300	118	62	62	NUM
ap-5709	300	119	64	64	NUM
ap-5709	300	120	64	64	NUM
ap-5709	300	121	66	66	NUM
ap-5709	300	122	0	0	NUM
ap-5709	300	123	50	50	NUM
ap-5709	300	124	100	100	NUM
ap-5709	300	125	150	150	NUM
ap-5709	300	126	200	200	NUM
ap-5709	300	127	x1	x1	PROPN
ap-5709	300	128	(	(	PUNCT
ap-5709	300	129	mm	mm	NOUN
ap-5709	300	130	)	)	PUNCT
ap-5709	300	131	0	0	NUM
ap-5709	300	132	50	50	NUM
ap-5709	300	133	100	100	NUM
ap-5709	300	134	150	150	NUM
ap-5709	300	135	200	200	NUM
ap-5709	300	136	x	x	SYM
ap-5709	300	137	2	2	NUM
ap-5709	300	138	(	(	PUNCT
ap-5709	300	139	m	m	PROPN
ap-5709	300	140	m	m	VERB
ap-5709	300	141	)	)	PUNCT
ap-5709	300	142	#	#	SYM
ap-5709	300	143	"	"	PUNCT
ap-5709	300	144	#	#	SYM
ap-5709	300	145	(	(	PUNCT
ap-5709	300	146	fe	fe	NOUN
ap-5709	300	147	)	)	PUNCT
ap-5709	300	148	#	#	PROPN
ap-5709	300	149	(	(	PUNCT
ap-5709	300	150	approx	approx	NOUN
ap-5709	300	151	:)	:)	INTJ
ap-5709	300	152	temperature	temperature	NOUN
ap-5709	300	153	(	(	PUNCT
ap-5709	300	154	/c	/c	PUNCT
ap-5709	300	155	)	)	PUNCT
ap-5709	300	156	,	,	PUNCT
ap-5709	300	157	t	t	PROPN
ap-5709	300	158	=	=	SYM
ap-5709	300	159	24	24	NUM
ap-5709	300	160	h	h	NOUN
ap-5709	300	161	,	,	PUNCT
ap-5709	300	162	variant	variant	ADJ
ap-5709	300	163	r	r	NOUN
ap-5709	300	164	75	75	NUM
ap-5709	300	165	80	80	NUM
ap-5709	300	166	80	80	NUM
ap-5709	300	167	85	85	NUM
ap-5709	300	168	85	85	NUM
ap-5709	300	169	85	85	NUM
ap-5709	300	170	85	85	NUM
ap-5709	300	171	90	90	NUM
ap-5709	300	172	90	90	NUM
ap-5709	300	173	90	90	NUM
ap-5709	300	174	95	95	NUM
ap-5709	300	175	0	0	NUM
ap-5709	300	176	50	50	NUM
ap-5709	300	177	100	100	NUM
ap-5709	300	178	150	150	NUM
ap-5709	300	179	200	200	NUM
ap-5709	300	180	x1	x1	PROPN
ap-5709	300	181	(	(	PUNCT
ap-5709	300	182	mm	mm	NOUN
ap-5709	300	183	)	)	PUNCT
ap-5709	300	184	0	0	NUM
ap-5709	300	185	50	50	NUM
ap-5709	300	186	100	100	NUM
ap-5709	300	187	150	150	NUM
ap-5709	300	188	200	200	NUM
ap-5709	300	189	x	x	SYM
ap-5709	300	190	2	2	NUM
ap-5709	300	191	(	(	PUNCT
ap-5709	300	192	m	m	PROPN
ap-5709	300	193	m	m	VERB
ap-5709	300	194	)	)	PUNCT
ap-5709	300	195	#	#	SYM
ap-5709	300	196	"	"	PUNCT
ap-5709	300	197	#	#	SYM
ap-5709	300	198	(	(	PUNCT
ap-5709	300	199	fe	fe	NOUN
ap-5709	300	200	)	)	PUNCT
ap-5709	300	201	#	#	PROPN
ap-5709	300	202	(	(	PUNCT
ap-5709	300	203	approx	approx	NOUN
ap-5709	300	204	:)	:)	NOUN
ap-5709	300	205	figure	figure	NOUN
ap-5709	300	206	9	9	NUM
ap-5709	300	207	.	.	PUNCT
ap-5709	300	208	distribution	distribution	NOUN
ap-5709	300	209	of	of	ADP
ap-5709	300	210	temperature	temperature	NOUN
ap-5709	300	211	in	in	ADP
ap-5709	300	212	the	the	DET
ap-5709	300	213	analysed	analyse	VERB
ap-5709	300	214	cross	cross	NOUN
ap-5709	300	215	-	-	NOUN
ap-5709	300	216	section	section	NOUN
ap-5709	300	217	.	.	PUNCT
ap-5709	301	1	ka	ka	PROPN
ap-5709	301	2	intrinsic	intrinsic	ADJ
ap-5709	301	3	permeability	permeability	NOUN
ap-5709	301	4	of	of	ADP
ap-5709	301	5	aggregates	aggregate	NOUN
ap-5709	301	6	[	[	X
ap-5709	301	7	m2	m2	X
ap-5709	301	8	]	]	X
ap-5709	301	9	kc	kc	PROPN
ap-5709	301	10	intrinsic	intrinsic	ADJ
ap-5709	301	11	permeability	permeability	NOUN
ap-5709	301	12	of	of	ADP
ap-5709	301	13	cement	cement	NOUN
ap-5709	301	14	paste	paste	NOUN
ap-5709	301	15	[	[	X
ap-5709	301	16	m2	m2	X
ap-5709	301	17	]	]	X
ap-5709	301	18	kc,∞	kc,∞	PROPN
ap-5709	301	19	intrinsic	intrinsic	ADJ
ap-5709	301	20	permeability	permeability	NOUN
ap-5709	301	21	of	of	ADP
ap-5709	301	22	the	the	DET
ap-5709	301	23	matured	mature	VERB
ap-5709	301	24	concrete	concrete	NOUN
ap-5709	301	25	[	[	X
ap-5709	301	26	m2	m2	X
ap-5709	301	27	]	]	X
ap-5709	301	28	kr	kr	PROPN
ap-5709	301	29	relative	relative	ADJ
ap-5709	301	30	permeability	permeability	NOUN
ap-5709	301	31	of	of	ADP
ap-5709	301	32	liquid	liquid	ADJ
ap-5709	301	33	phase	phase	NOUN
ap-5709	301	34	[	[	X
ap-5709	301	35	–	–	PUNCT
ap-5709	301	36	]	]	PUNCT
ap-5709	301	37	mc	mc	PROPN
ap-5709	301	38	mass	mass	PROPN
ap-5709	301	39	of	of	ADP
ap-5709	301	40	cement	cement	NOUN
ap-5709	302	1	[	[	X
ap-5709	302	2	kg	kg	X
ap-5709	302	3	m−3	m−3	PROPN
ap-5709	302	4	]	]	X
ap-5709	302	5	p	p	X
ap-5709	302	6	liquid	liquid	ADJ
ap-5709	302	7	pressure	pressure	NOUN
ap-5709	302	8	[	[	X
ap-5709	302	9	pa	pa	X
ap-5709	302	10	]	]	X
ap-5709	302	11	p0	p0	PROPN
ap-5709	302	12	initial	initial	ADJ
ap-5709	302	13	value	value	NOUN
ap-5709	302	14	of	of	ADP
ap-5709	302	15	liquid	liquid	ADJ
ap-5709	302	16	pressure	pressure	NOUN
ap-5709	302	17	[	[	X
ap-5709	302	18	pa	pa	X
ap-5709	302	19	]	]	X
ap-5709	302	20	p∞	p∞	PROPN
ap-5709	302	21	external	external	ADJ
ap-5709	302	22	liquid	liquid	ADJ
ap-5709	302	23	pressure	pressure	NOUN
ap-5709	302	24	[	[	X
ap-5709	302	25	pa	pa	X
ap-5709	302	26	]	]	X
ap-5709	302	27	patm	patm	ADJ
ap-5709	302	28	atmospheric	atmospheric	ADJ
ap-5709	302	29	pressure	pressure	NOUN
ap-5709	302	30	[	[	X
ap-5709	302	31	pa	pa	X
ap-5709	302	32	]	]	X
ap-5709	302	33	pc	pc	NOUN
ap-5709	302	34	capillary	capillary	ADJ
ap-5709	302	35	pressure	pressure	NOUN
ap-5709	302	36	[	[	X
ap-5709	302	37	pa	pa	X
ap-5709	302	38	]	]	X
ap-5709	302	39	qh	qh	NOUN
ap-5709	302	40	,	,	PUNCT
ap-5709	302	41	pot	pot	NOUN
ap-5709	302	42	potential	potential	ADJ
ap-5709	302	43	hydration	hydration	NOUN
ap-5709	302	44	heat	heat	NOUN
ap-5709	303	1	[	[	X
ap-5709	303	2	j	j	X
ap-5709	303	3	kg−1	kg−1	PROPN
ap-5709	303	4	]	]	PUNCT
ap-5709	303	5	qw	qw	NOUN
ap-5709	303	6	,	,	PUNCT
ap-5709	303	7	pot	pot	NOUN
ap-5709	303	8	chemically	chemically	ADV
ap-5709	303	9	bound	bind	VERB
ap-5709	303	10	water	water	NOUN
ap-5709	303	11	[	[	X
ap-5709	303	12	kg	kg	X
ap-5709	303	13	kg−1	kg−1	PROPN
ap-5709	303	14	]	]	X
ap-5709	303	15	rh	rh	PROPN
ap-5709	303	16	relative	relative	ADJ
ap-5709	303	17	humidity	humidity	NOUN
ap-5709	304	1	[	[	X
ap-5709	304	2	–	–	PUNCT
ap-5709	304	3	]	]	X
ap-5709	304	4	rh∞	rh∞	ADP
ap-5709	304	5	external	external	ADJ
ap-5709	304	6	relative	relative	ADJ
ap-5709	304	7	humidity	humidity	NOUN
ap-5709	305	1	[	[	X
ap-5709	305	2	–	–	PUNCT
ap-5709	305	3	]	]	PUNCT
ap-5709	305	4	s	s	NOUN
ap-5709	305	5	degree	degree	NOUN
ap-5709	305	6	of	of	ADP
ap-5709	305	7	saturation	saturation	NOUN
ap-5709	305	8	with	with	ADP
ap-5709	305	9	liquid	liquid	ADJ
ap-5709	305	10	water	water	NOUN
ap-5709	305	11	[	[	X
ap-5709	305	12	–	–	PUNCT
ap-5709	305	13	]	]	X
ap-5709	305	14	s0	s0	PROPN
ap-5709	305	15	initial	initial	ADJ
ap-5709	305	16	degree	degree	NOUN
ap-5709	305	17	of	of	ADP
ap-5709	305	18	saturation	saturation	NOUN
ap-5709	305	19	with	with	ADP
ap-5709	305	20	liquid	liquid	ADJ
ap-5709	305	21	water	water	NOUN
ap-5709	306	1	[	[	X
ap-5709	306	2	–	–	PUNCT
ap-5709	306	3	]	]	X
ap-5709	306	4	greek	greek	ADJ
ap-5709	306	5	symbols	symbol	NOUN
ap-5709	306	6	αc	αc	VERB
ap-5709	306	7	convective	convective	ADJ
ap-5709	306	8	heat	heat	NOUN
ap-5709	306	9	transfer	transfer	NOUN
ap-5709	306	10	coefficient	coefficient	NOUN
ap-5709	307	1	[	[	X
ap-5709	307	2	w	w	PROPN
ap-5709	307	3	m−2	m−2	PROPN
ap-5709	307	4	k−1	k−1	PROPN
ap-5709	307	5	]	]	X
ap-5709	307	6	βc	βc	ADP
ap-5709	307	7	convective	convective	ADJ
ap-5709	307	8	mass	mass	NOUN
ap-5709	307	9	transfer	transfer	NOUN
ap-5709	307	10	coefficient	coefficient	NOUN
ap-5709	307	11	[	[	X
ap-5709	307	12	m	m	NOUN
ap-5709	307	13	s−1	s−1	PROPN
ap-5709	307	14	]	]	PUNCT
ap-5709	307	15	δij	δij	NOUN
ap-5709	307	16	kronecker	kronecker	NOUN
ap-5709	307	17	delta	delta	NOUN
ap-5709	307	18	[	[	X
ap-5709	307	19	–	–	PUNCT
ap-5709	307	20	]	]	PUNCT
ap-5709	307	21	ε	ε	PROPN
ap-5709	307	22	scale	scale	NOUN
ap-5709	307	23	parameter	parameter	NOUN
ap-5709	307	24	(	(	PUNCT
ap-5709	307	25	characteristic	characteristic	ADJ
ap-5709	307	26	length	length	NOUN
ap-5709	307	27	)	)	PUNCT
ap-5709	308	1	[	[	X
ap-5709	308	2	–	–	PUNCT
ap-5709	308	3	]	]	X
ap-5709	308	4	ϑ	ϑ	X
ap-5709	308	5	temperature	temperature	NOUN
ap-5709	308	6	[	[	X
ap-5709	308	7	k	k	X
ap-5709	308	8	]	]	X
ap-5709	308	9	ϑ0	ϑ0	ADJ
ap-5709	308	10	initial	initial	ADJ
ap-5709	308	11	value	value	NOUN
ap-5709	308	12	of	of	ADP
ap-5709	308	13	temperature	temperature	NOUN
ap-5709	308	14	[	[	X
ap-5709	308	15	k	k	X
ap-5709	308	16	]	]	X
ap-5709	308	17	ϑ∞	ϑ∞	PROPN
ap-5709	308	18	external	external	ADJ
ap-5709	308	19	temperature	temperature	NOUN
ap-5709	309	1	[	[	X
ap-5709	309	2	k	k	X
ap-5709	309	3	]	]	X
ap-5709	309	4	λc	λc	X
ap-5709	309	5	thermal	thermal	ADJ
ap-5709	309	6	conductivity	conductivity	NOUN
ap-5709	309	7	of	of	ADP
ap-5709	309	8	cement	cement	NOUN
ap-5709	309	9	paste	paste	NOUN
ap-5709	309	10	[	[	X
ap-5709	309	11	w	w	NOUN
ap-5709	309	12	m−1	m−1	PROPN
ap-5709	309	13	k−1	k−1	PROPN
ap-5709	309	14	]	]	X
ap-5709	309	15	λc	λc	NOUN
ap-5709	309	16	,	,	PUNCT
ap-5709	309	17	dry	dry	ADJ
ap-5709	309	18	thermal	thermal	ADJ
ap-5709	309	19	conductivity	conductivity	NOUN
ap-5709	309	20	of	of	ADP
ap-5709	309	21	dry	dry	ADJ
ap-5709	309	22	cement	cement	NOUN
ap-5709	309	23	paste	paste	NOUN
ap-5709	309	24	[	[	X
ap-5709	309	25	w	w	NOUN
ap-5709	309	26	m−1	m−1	PROPN
ap-5709	309	27	k−1	k−1	PROPN
ap-5709	309	28	]	]	X
ap-5709	309	29	λa	λa	X
ap-5709	309	30	thermal	thermal	ADJ
ap-5709	309	31	conductivity	conductivity	NOUN
ap-5709	309	32	of	of	ADP
ap-5709	309	33	aggregates	aggregate	NOUN
ap-5709	309	34	[	[	X
ap-5709	309	35	w	w	NOUN
ap-5709	309	36	m−1	m−1	PROPN
ap-5709	309	37	k−1	k−1	PROPN
ap-5709	309	38	]	]	PUNCT
ap-5709	309	39	λa	λa	PROPN
ap-5709	309	40	,	,	PUNCT
ap-5709	309	41	dry	dry	ADJ
ap-5709	309	42	thermal	thermal	ADJ
ap-5709	309	43	conductivity	conductivity	NOUN
ap-5709	309	44	of	of	ADP
ap-5709	309	45	dry	dry	ADJ
ap-5709	309	46	aggregates	aggregate	NOUN
ap-5709	309	47	[	[	X
ap-5709	309	48	w	w	NOUN
ap-5709	309	49	m−1	m−1	PROPN
ap-5709	309	50	k−1	k−1	PROPN
ap-5709	309	51	]	]	X
ap-5709	309	52	µ	µ	PRON
ap-5709	309	53	water	water	NOUN
ap-5709	309	54	viscosity	viscosity	NOUN
ap-5709	309	55	[	[	X
ap-5709	309	56	pa	pa	PROPN
ap-5709	309	57	s	s	X
ap-5709	309	58	]	]	X
ap-5709	309	59	ξ	ξ	PRON
ap-5709	309	60	degree	degree	NOUN
ap-5709	309	61	of	of	ADP
ap-5709	309	62	hydration	hydration	NOUN
ap-5709	309	63	[	[	X
ap-5709	309	64	–	–	PUNCT
ap-5709	309	65	]	]	PUNCT
ap-5709	309	66	ξ∞	ξ∞	NOUN
ap-5709	309	67	final	final	ADJ
ap-5709	309	68	degree	degree	NOUN
ap-5709	309	69	of	of	ADP
ap-5709	309	70	hydration	hydration	NOUN
ap-5709	310	1	[	[	X
ap-5709	310	2	–	–	PUNCT
ap-5709	310	3	]	]	PUNCT
ap-5709	310	4	21	21	NUM
ap-5709	310	5	michal	michal	NOUN
ap-5709	310	6	beneš	beneš	PROPN
ap-5709	310	7	,	,	PUNCT
ap-5709	310	8	radek	radek	PROPN
ap-5709	310	9	štefan	štefan	PROPN
ap-5709	310	10	acta	acta	PROPN
ap-5709	310	11	polytechnica	polytechnica	PROPN
ap-5709	310	12	figure	figure	NOUN
ap-5709	310	13	10	10	NUM
ap-5709	310	14	.	.	PUNCT
ap-5709	311	1	distribution	distribution	NOUN
ap-5709	311	2	of	of	ADP
ap-5709	311	3	hydration	hydration	NOUN
ap-5709	311	4	degree	degree	NOUN
ap-5709	311	5	in	in	ADP
ap-5709	311	6	the	the	DET
ap-5709	311	7	analysed	analyse	VERB
ap-5709	311	8	cross	cross	NOUN
ap-5709	311	9	-	-	NOUN
ap-5709	311	10	section	section	NOUN
ap-5709	311	11	.	.	PUNCT
ap-5709	312	1	%	%	INTJ
ap-5709	313	1	w	w	ADP
ap-5709	313	2	liquid	liquid	ADJ
ap-5709	313	3	density	density	NOUN
ap-5709	314	1	[	[	X
ap-5709	314	2	kg	kg	X
ap-5709	314	3	m−3	m−3	PROPN
ap-5709	314	4	]	]	X
ap-5709	314	5	%	%	NOUN
ap-5709	314	6	sa	sa	NOUN
ap-5709	314	7	density	density	NOUN
ap-5709	314	8	of	of	ADP
ap-5709	314	9	aggregates	aggregate	NOUN
ap-5709	314	10	[	[	X
ap-5709	314	11	kg	kg	X
ap-5709	314	12	m−3	m−3	PROPN
ap-5709	314	13	]	]	X
ap-5709	314	14	%	%	INTJ
ap-5709	314	15	sc	sc	NOUN
ap-5709	314	16	density	density	NOUN
ap-5709	314	17	of	of	ADP
ap-5709	314	18	cement	cement	NOUN
ap-5709	314	19	paste	paste	NOUN
ap-5709	315	1	[	[	X
ap-5709	315	2	kg	kg	X
ap-5709	315	3	m−3	m−3	NOUN
ap-5709	315	4	]	]	X
ap-5709	315	5	φc	φc	NOUN
ap-5709	315	6	porosity	porosity	NOUN
ap-5709	315	7	of	of	ADP
ap-5709	315	8	cement	cement	NOUN
ap-5709	315	9	paste	paste	NOUN
ap-5709	315	10	[	[	X
ap-5709	315	11	–	–	PUNCT
ap-5709	315	12	]	]	PUNCT
ap-5709	315	13	φc,∞	φc,∞	ADJ
ap-5709	315	14	porosity	porosity	NOUN
ap-5709	315	15	at	at	ADP
ap-5709	315	16	final	final	ADJ
ap-5709	315	17	stage	stage	NOUN
ap-5709	315	18	of	of	ADP
ap-5709	315	19	hydration	hydration	NOUN
ap-5709	315	20	[	[	X
ap-5709	315	21	–	–	PUNCT
ap-5709	315	22	]	]	PUNCT
ap-5709	315	23	figure	figure	NOUN
ap-5709	315	24	11	11	NUM
ap-5709	315	25	.	.	PUNCT
ap-5709	316	1	distribution	distribution	NOUN
ap-5709	316	2	of	of	ADP
ap-5709	316	3	saturation	saturation	NOUN
ap-5709	316	4	degree	degree	NOUN
ap-5709	316	5	in	in	ADP
ap-5709	316	6	the	the	DET
ap-5709	316	7	analysed	analyse	VERB
ap-5709	316	8	cross	cross	NOUN
ap-5709	316	9	-	-	NOUN
ap-5709	316	10	section	section	NOUN
ap-5709	316	11	.	.	PUNCT
ap-5709	317	1	φa	φa	ADP
ap-5709	317	2	porosity	porosity	NOUN
ap-5709	317	3	of	of	ADP
ap-5709	317	4	aggregates	aggregate	NOUN
ap-5709	317	5	[	[	X
ap-5709	317	6	–	–	PUNCT
ap-5709	317	7	]	]	PUNCT
ap-5709	317	8	χa	χa	ADP
ap-5709	317	9	characteristic	characteristic	ADJ
ap-5709	317	10	function	function	NOUN
ap-5709	317	11	of	of	ADP
ap-5709	317	12	aggregates	aggregate	NOUN
ap-5709	317	13	[	[	X
ap-5709	317	14	–	–	PUNCT
ap-5709	317	15	]	]	X
ap-5709	317	16	χc	χc	PROPN
ap-5709	317	17	characteristic	characteristic	ADJ
ap-5709	317	18	function	function	NOUN
ap-5709	317	19	of	of	ADP
ap-5709	317	20	cement	cement	NOUN
ap-5709	317	21	paste	paste	NOUN
ap-5709	317	22	[	[	X
ap-5709	317	23	–	–	PUNCT
ap-5709	317	24	]	]	PUNCT
ap-5709	317	25	22	22	NUM
ap-5709	317	26	vol	vol	NOUN
ap-5709	317	27	.	.	PUNCT
ap-5709	318	1	60	60	NUM
ap-5709	318	2	no	no	INTJ
ap-5709	318	3	.	.	PUNCT
ap-5709	319	1	1/2020	1/2020	NUM
ap-5709	319	2	homogenization	homogenization	NOUN
ap-5709	319	3	of	of	ADP
ap-5709	319	4	transport	transport	NOUN
ap-5709	319	5	processes	process	NOUN
ap-5709	319	6	and	and	CCONJ
ap-5709	319	7	hydration	hydration	NOUN
ap-5709	319	8	phenomena	phenomenon	NOUN
ap-5709	319	9	.	.	PUNCT
ap-5709	319	10	.	.	PUNCT
ap-5709	319	11	.	.	PUNCT
ap-5709	320	1	acknowledgements	acknowledgement	VERB
ap-5709	320	2	the	the	DET
ap-5709	320	3	first	first	ADJ
ap-5709	320	4	author	author	NOUN
ap-5709	320	5	has	have	AUX
ap-5709	320	6	been	be	AUX
ap-5709	320	7	financially	financially	ADV
ap-5709	320	8	supported	support	VERB
ap-5709	320	9	by	by	ADP
ap-5709	320	10	the	the	DET
ap-5709	320	11	european	european	PROPN
ap-5709	320	12	regional	regional	PROPN
ap-5709	320	13	development	development	PROPN
ap-5709	320	14	fund	fund	NOUN
ap-5709	320	15	(	(	PUNCT
ap-5709	320	16	project	project	NOUN
ap-5709	320	17	no	no	INTJ
ap-5709	320	18	.	.	PUNCT
ap-5709	321	1	cz.02.1.01/0.0/0.0/16−019/0000778	cz.02.1.01/0.0/0.0/16−019/0000778	PROPN
ap-5709	321	2	)	)	PUNCT
ap-5709	321	3	within	within	ADP
ap-5709	321	4	activities	activity	NOUN
ap-5709	321	5	of	of	ADP
ap-5709	321	6	the	the	DET
ap-5709	321	7	center	center	NOUN
ap-5709	321	8	of	of	ADP
ap-5709	321	9	advanced	advanced	ADJ
ap-5709	321	10	applied	apply	VERB
ap-5709	321	11	sciences	science	NOUN
ap-5709	321	12	(	(	PUNCT
ap-5709	321	13	caas	caas	NOUN
ap-5709	321	14	)	)	PUNCT
ap-5709	321	15	.	.	PUNCT
ap-5709	322	1	the	the	DET
ap-5709	322	2	second	second	ADJ
ap-5709	322	3	author	author	NOUN
ap-5709	322	4	has	have	AUX
ap-5709	322	5	been	be	AUX
ap-5709	322	6	supported	support	VERB
ap-5709	322	7	by	by	ADP
ap-5709	322	8	the	the	DET
ap-5709	322	9	czech	czech	PROPN
ap-5709	322	10	science	science	PROPN
ap-5709	322	11	foundation	foundation	PROPN
ap-5709	322	12	,	,	PUNCT
ap-5709	322	13	project	project	NOUN
ap-5709	322	14	no	no	NOUN
ap-5709	322	15	.	.	PUNCT
ap-5709	323	1	ga17	ga17	PROPN
ap-5709	323	2	-	-	PUNCT
ap-5709	323	3	23067s	23067s	NUM
ap-5709	323	4	.	.	PUNCT
ap-5709	324	1	the	the	DET
ap-5709	324	2	support	support	NOUN
ap-5709	324	3	is	be	AUX
ap-5709	324	4	gratefully	gratefully	ADV
ap-5709	324	5	acknowledged	acknowledge	VERB
ap-5709	324	6	.	.	PUNCT
ap-5709	325	1	references	reference	NOUN
ap-5709	325	2	[	[	X
ap-5709	325	3	1	1	NUM
ap-5709	325	4	]	]	PUNCT
ap-5709	325	5	f.	f.	PROPN
ap-5709	325	6	j.	j.	PROPN
ap-5709	325	7	ulm	ulm	PROPN
ap-5709	325	8	,	,	PUNCT
ap-5709	325	9	o.	o.	NOUN
ap-5709	325	10	coussy	coussy	PROPN
ap-5709	325	11	.	.	PUNCT
ap-5709	326	1	modeling	modeling	NOUN
ap-5709	326	2	of	of	ADP
ap-5709	326	3	thermochemomechanical	thermochemomechanical	ADJ
ap-5709	326	4	couplings	coupling	NOUN
ap-5709	326	5	of	of	ADP
ap-5709	326	6	concrete	concrete	NOUN
ap-5709	326	7	at	at	ADP
ap-5709	326	8	early	early	ADJ
ap-5709	326	9	ages	age	NOUN
ap-5709	326	10	.	.	PUNCT
ap-5709	327	1	j	j	PROPN
ap-5709	327	2	eng	eng	PROPN
ap-5709	327	3	mech	mech	PROPN
ap-5709	327	4	121(7):785–794	121(7):785–794	NUM
ap-5709	327	5	,	,	PUNCT
ap-5709	327	6	1995	1995	NUM
ap-5709	327	7	.	.	PUNCT
ap-5709	328	1	doi:10.1061/(asce)0733	doi:10.1061/(asce)0733	VERB
ap-5709	328	2	-	-	PUNCT
ap-5709	328	3	9399(1995)121:7(785	9399(1995)121:7(785	NUM
ap-5709	328	4	)	)	PUNCT
ap-5709	328	5	.	.	PUNCT
ap-5709	329	1	[	[	X
ap-5709	329	2	2	2	NUM
ap-5709	329	3	]	]	PUNCT
ap-5709	329	4	m.	m.	NOUN
ap-5709	329	5	cervera	cervera	NOUN
ap-5709	329	6	,	,	PUNCT
ap-5709	329	7	j.	j.	PROPN
ap-5709	329	8	oliver	oliver	PROPN
ap-5709	329	9	,	,	PUNCT
ap-5709	329	10	t.	t.	PROPN
ap-5709	329	11	prato	prato	PROPN
ap-5709	329	12	.	.	PROPN
ap-5709	329	13	thermo	thermo	NOUN
ap-5709	329	14	-	-	PUNCT
ap-5709	329	15	chemo	chemo	NOUN
ap-5709	329	16	-	-	PUNCT
ap-5709	329	17	mechanical	mechanical	ADJ
ap-5709	329	18	model	model	NOUN
ap-5709	329	19	for	for	ADP
ap-5709	329	20	concrete	concrete	NOUN
ap-5709	329	21	.	.	PUNCT
ap-5709	330	1	i	i	PRON
ap-5709	330	2	:	:	PUNCT
ap-5709	330	3	hydration	hydration	NOUN
ap-5709	330	4	and	and	CCONJ
ap-5709	330	5	aging	aging	NOUN
ap-5709	330	6	.	.	PUNCT
ap-5709	331	1	j	j	PROPN
ap-5709	331	2	eng	eng	PROPN
ap-5709	331	3	mech	mech	PROPN
ap-5709	331	4	125(9):1018–1027	125(9):1018–1027	NUM
ap-5709	331	5	,	,	PUNCT
ap-5709	331	6	1999	1999	NUM
ap-5709	331	7	.	.	PUNCT
ap-5709	331	8	doi:10.1061/(asce)0733	doi:10.1061/(asce)0733	VERB
ap-5709	331	9	-	-	PUNCT
ap-5709	331	10	9399(1999)125:9(1018	9399(1999)125:9(1018	PROPN
ap-5709	331	11	)	)	PUNCT
ap-5709	331	12	.	.	PUNCT
ap-5709	332	1	[	[	X
ap-5709	332	2	3	3	X
ap-5709	332	3	]	]	PUNCT
ap-5709	332	4	m.	m.	NOUN
ap-5709	332	5	cervera	cervera	PROPN
ap-5709	332	6	,	,	PUNCT
ap-5709	332	7	r.	r.	PROPN
ap-5709	332	8	faria	faria	PROPN
ap-5709	332	9	,	,	PUNCT
ap-5709	332	10	j.	j.	PROPN
ap-5709	332	11	oliver	oliver	PROPN
ap-5709	332	12	,	,	PUNCT
ap-5709	332	13	t.	t.	PROPN
ap-5709	332	14	prato	prato	PROPN
ap-5709	332	15	.	.	PROPN
ap-5709	332	16	numerical	numerical	PROPN
ap-5709	332	17	modelling	modelling	NOUN
ap-5709	332	18	of	of	ADP
ap-5709	332	19	concrete	concrete	ADJ
ap-5709	332	20	curing	curing	NOUN
ap-5709	332	21	,	,	PUNCT
ap-5709	332	22	regarding	regard	VERB
ap-5709	332	23	hydration	hydration	NOUN
ap-5709	332	24	and	and	CCONJ
ap-5709	332	25	temperature	temperature	NOUN
ap-5709	332	26	phenomena	phenomenon	NOUN
ap-5709	332	27	.	.	PUNCT
ap-5709	333	1	comput	comput	PROPN
ap-5709	333	2	struct	struct	NOUN
ap-5709	333	3	80(18):1511	80(18):1511	NUM
ap-5709	333	4	–	–	PUNCT
ap-5709	333	5	1521	1521	NUM
ap-5709	333	6	,	,	PUNCT
ap-5709	333	7	2002	2002	NUM
ap-5709	333	8	.	.	PUNCT
ap-5709	334	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	334	2	/	/	SYM
ap-5709	334	3	s0045	s0045	PROPN
ap-5709	334	4	-	-	PUNCT
ap-5709	334	5	7949(02)00104	7949(02)00104	NOUN
ap-5709	334	6	-	-	PUNCT
ap-5709	334	7	9	9	NUM
ap-5709	334	8	.	.	PUNCT
ap-5709	335	1	[	[	X
ap-5709	335	2	4	4	X
ap-5709	335	3	]	]	X
ap-5709	335	4	d.	d.	PROPN
ap-5709	335	5	gawin	gawin	PROPN
ap-5709	335	6	,	,	PUNCT
ap-5709	335	7	f.	f.	PROPN
ap-5709	335	8	pesavento	pesavento	PROPN
ap-5709	335	9	,	,	PUNCT
ap-5709	335	10	b.	b.	PROPN
ap-5709	335	11	a.	a.	NOUN
ap-5709	335	12	schrefler	schrefler	PROPN
ap-5709	335	13	.	.	PUNCT
ap-5709	336	1	hygro	hygro	NOUN
ap-5709	336	2	-	-	PUNCT
ap-5709	336	3	thermo	thermo	NOUN
ap-5709	336	4	-	-	PUNCT
ap-5709	336	5	chemo	chemo	NOUN
ap-5709	336	6	-	-	PUNCT
ap-5709	336	7	mechanical	mechanical	ADJ
ap-5709	336	8	modelling	modelling	NOUN
ap-5709	336	9	of	of	ADP
ap-5709	336	10	concrete	concrete	NOUN
ap-5709	336	11	at	at	ADP
ap-5709	336	12	early	early	ADJ
ap-5709	336	13	ages	age	NOUN
ap-5709	336	14	and	and	CCONJ
ap-5709	336	15	beyond	beyond	ADP
ap-5709	336	16	.	.	PUNCT
ap-5709	337	1	part	part	NOUN
ap-5709	338	1	i	i	NOUN
ap-5709	338	2	:	:	PUNCT
ap-5709	338	3	hydration	hydration	NOUN
ap-5709	338	4	and	and	CCONJ
ap-5709	338	5	hygro	hygro	NOUN
ap-5709	338	6	-	-	PUNCT
ap-5709	338	7	thermal	thermal	ADJ
ap-5709	338	8	phenomena	phenomenon	NOUN
ap-5709	338	9	.	.	PUNCT
ap-5709	339	1	int	int	PROPN
ap-5709	340	1	j	j	PROPN
ap-5709	340	2	numer	numer	PROPN
ap-5709	340	3	meth	meth	PROPN
ap-5709	340	4	eng	eng	PROPN
ap-5709	340	5	67(3):299–331	67(3):299–331	PROPN
ap-5709	340	6	,	,	PUNCT
ap-5709	340	7	2006	2006	NUM
ap-5709	340	8	.	.	PUNCT
ap-5709	341	1	doi:10.1002	doi:10.1002	NOUN
ap-5709	341	2	/	/	SYM
ap-5709	341	3	nme.1615	nme.1615	NOUN
ap-5709	341	4	.	.	PUNCT
ap-5709	342	1	[	[	X
ap-5709	342	2	5	5	X
ap-5709	342	3	]	]	X
ap-5709	342	4	g.	g.	PROPN
ap-5709	342	5	di	di	PROPN
ap-5709	342	6	luzio	luzio	PROPN
ap-5709	342	7	,	,	PUNCT
ap-5709	342	8	g.	g.	PROPN
ap-5709	342	9	cusatis	cusatis	PROPN
ap-5709	342	10	.	.	PUNCT
ap-5709	343	1	hygro	hygro	PROPN
ap-5709	343	2	-	-	PUNCT
ap-5709	343	3	thermo	thermo	NOUN
ap-5709	343	4	-	-	PUNCT
ap-5709	343	5	chemical	chemical	NOUN
ap-5709	343	6	modeling	modeling	NOUN
ap-5709	343	7	of	of	ADP
ap-5709	343	8	high	high	ADJ
ap-5709	343	9	performance	performance	NOUN
ap-5709	343	10	concrete	concrete	NOUN
ap-5709	343	11	.	.	PUNCT
ap-5709	344	1	i	i	PRON
ap-5709	344	2	:	:	PUNCT
ap-5709	344	3	theory	theory	NOUN
ap-5709	344	4	.	.	PUNCT
ap-5709	345	1	cement	cement	NOUN
ap-5709	345	2	concrete	concrete	ADJ
ap-5709	345	3	comp	comp	NOUN
ap-5709	345	4	31(5):301–308	31(5):301–308	PROPN
ap-5709	345	5	,	,	PUNCT
ap-5709	345	6	2009	2009	NUM
ap-5709	345	7	.	.	PUNCT
ap-5709	346	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	346	2	/	/	SYM
ap-5709	346	3	j.cemconcomp.2009.02.015	j.cemconcomp.2009.02.015	PROPN
ap-5709	346	4	.	.	PUNCT
ap-5709	347	1	[	[	X
ap-5709	347	2	6	6	NUM
ap-5709	347	3	]	]	PUNCT
ap-5709	347	4	b.	b.	PROPN
ap-5709	347	5	klemczak	klemczak	PROPN
ap-5709	347	6	,	,	PUNCT
ap-5709	347	7	m.	m.	PROPN
ap-5709	347	8	batog	batog	PROPN
ap-5709	347	9	.	.	PUNCT
ap-5709	348	1	heat	heat	NOUN
ap-5709	348	2	of	of	ADP
ap-5709	348	3	hydration	hydration	NOUN
ap-5709	348	4	of	of	ADP
ap-5709	348	5	lowclinker	lowclinker	NOUN
ap-5709	348	6	cements	cement	NOUN
ap-5709	348	7	.	.	PUNCT
ap-5709	349	1	j	j	PROPN
ap-5709	349	2	therm	therm	PROPN
ap-5709	349	3	anal	anal	PROPN
ap-5709	349	4	calorim	calorim	PROPN
ap-5709	349	5	123(2):1351	123(2):1351	NUM
ap-5709	349	6	–	–	PUNCT
ap-5709	349	7	1360	1360	NUM
ap-5709	349	8	,	,	PUNCT
ap-5709	349	9	2016	2016	NUM
ap-5709	349	10	.	.	PUNCT
ap-5709	350	1	doi:10.1007	doi:10.1007	PROPN
ap-5709	350	2	/	/	SYM
ap-5709	350	3	s10973	s10973	PROPN
ap-5709	350	4	-	-	PUNCT
ap-5709	350	5	015	015	NUM
ap-5709	350	6	-	-	PUNCT
ap-5709	350	7	4782	4782	NUM
ap-5709	350	8	-	-	PUNCT
ap-5709	350	9	y.	y.	NOUN
ap-5709	351	1	[	[	X
ap-5709	351	2	7	7	X
ap-5709	351	3	]	]	X
ap-5709	351	4	e.	e.	PROPN
ap-5709	351	5	m.	m.	PROPN
ap-5709	351	6	r.	r.	PROPN
ap-5709	351	7	fairbairn	fairbairn	PROPN
ap-5709	351	8	,	,	PUNCT
ap-5709	351	9	m.	m.	PROPN
ap-5709	351	10	azenha	azenha	PROPN
ap-5709	351	11	(	(	PUNCT
ap-5709	351	12	eds	ed	NOUN
ap-5709	351	13	.	.	PUNCT
ap-5709	351	14	)	)	PUNCT
ap-5709	351	15	.	.	PUNCT
ap-5709	352	1	thermal	thermal	ADJ
ap-5709	352	2	cracking	cracking	NOUN
ap-5709	352	3	of	of	ADP
ap-5709	352	4	massive	massive	ADJ
ap-5709	352	5	concrete	concrete	ADJ
ap-5709	352	6	structures	structure	NOUN
ap-5709	352	7	:	:	PUNCT
ap-5709	352	8	state	state	NOUN
ap-5709	352	9	of	of	ADP
ap-5709	352	10	the	the	DET
ap-5709	352	11	art	art	NOUN
ap-5709	352	12	report	report	NOUN
ap-5709	352	13	of	of	ADP
ap-5709	352	14	the	the	DET
ap-5709	352	15	rilem	rilem	NOUN
ap-5709	352	16	technical	technical	PROPN
ap-5709	352	17	committee	committee	PROPN
ap-5709	352	18	254cms	254cms	NUM
ap-5709	352	19	.	.	PUNCT
ap-5709	352	20	springer	springer	NOUN
ap-5709	352	21	,	,	PUNCT
ap-5709	352	22	2019	2019	NUM
ap-5709	352	23	.	.	PUNCT
ap-5709	353	1	doi:10.1007/978	doi:10.1007/978	NOUN
ap-5709	353	2	-	-	PUNCT
ap-5709	353	3	3	3	NUM
ap-5709	353	4	-	-	NUM
ap-5709	353	5	319	319	NUM
ap-5709	353	6	-	-	PUNCT
ap-5709	353	7	76617	76617	NUM
ap-5709	353	8	-	-	SYM
ap-5709	353	9	1	1	NUM
ap-5709	353	10	.	.	PUNCT
ap-5709	354	1	[	[	X
ap-5709	354	2	8	8	NUM
ap-5709	354	3	]	]	X
ap-5709	354	4	g.	g.	PROPN
ap-5709	354	5	xotta	xotta	PROPN
ap-5709	354	6	,	,	PUNCT
ap-5709	354	7	g.	g.	PROPN
ap-5709	354	8	mazzucco	mazzucco	PROPN
ap-5709	354	9	,	,	PUNCT
ap-5709	354	10	v.	v.	ADP
ap-5709	354	11	a.	a.	NOUN
ap-5709	354	12	salomoni	salomoni	PROPN
ap-5709	354	13	,	,	PUNCT
ap-5709	354	14	et	et	PROPN
ap-5709	354	15	al	al	PROPN
ap-5709	354	16	.	.	PUNCT
ap-5709	354	17	composite	composite	ADJ
ap-5709	354	18	behavior	behavior	NOUN
ap-5709	354	19	of	of	ADP
ap-5709	354	20	concrete	concrete	ADJ
ap-5709	354	21	materials	material	NOUN
ap-5709	354	22	under	under	ADP
ap-5709	354	23	high	high	ADJ
ap-5709	354	24	temperatures	temperature	NOUN
ap-5709	354	25	.	.	PUNCT
ap-5709	355	1	int	int	PROPN
ap-5709	355	2	j	j	PROPN
ap-5709	355	3	solid	solid	ADJ
ap-5709	355	4	struct	struct	NOUN
ap-5709	355	5	64	64	NUM
ap-5709	355	6	-	-	PUNCT
ap-5709	355	7	65:86–99	65:86–99	NUM
ap-5709	355	8	,	,	PUNCT
ap-5709	355	9	2015	2015	NUM
ap-5709	355	10	.	.	PUNCT
ap-5709	356	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	356	2	/	/	SYM
ap-5709	356	3	j.ijsolstr.2015.03.016	j.ijsolstr.2015.03.016	PROPN
ap-5709	356	4	.	.	PUNCT
ap-5709	357	1	[	[	X
ap-5709	357	2	9	9	NUM
ap-5709	357	3	]	]	PUNCT
ap-5709	357	4	j.	j.	PROPN
ap-5709	357	5	bear	bear	PROPN
ap-5709	357	6	.	.	PUNCT
ap-5709	358	1	dynamics	dynamic	NOUN
ap-5709	358	2	of	of	ADP
ap-5709	358	3	fluids	fluid	NOUN
ap-5709	358	4	in	in	ADP
ap-5709	358	5	porous	porous	ADJ
ap-5709	358	6	media	medium	NOUN
ap-5709	358	7	.	.	PUNCT
ap-5709	359	1	courier	courier	NOUN
ap-5709	359	2	corporation	corporation	NOUN
ap-5709	359	3	,	,	PUNCT
ap-5709	359	4	1972	1972	NUM
ap-5709	359	5	.	.	PUNCT
ap-5709	360	1	[	[	X
ap-5709	360	2	10	10	NUM
ap-5709	360	3	]	]	X
ap-5709	360	4	m.	m.	NOUN
ap-5709	360	5	hassanizadeh	hassanizadeh	PROPN
ap-5709	360	6	,	,	PUNCT
ap-5709	360	7	w.	w.	PROPN
ap-5709	360	8	g.	g.	PROPN
ap-5709	360	9	gray	gray	PROPN
ap-5709	360	10	.	.	PUNCT
ap-5709	361	1	general	general	ADJ
ap-5709	361	2	conservation	conservation	NOUN
ap-5709	361	3	equations	equation	NOUN
ap-5709	361	4	for	for	ADP
ap-5709	361	5	multi	multi	ADJ
ap-5709	361	6	-	-	ADJ
ap-5709	361	7	phase	phase	NOUN
ap-5709	361	8	systems	system	NOUN
ap-5709	361	9	:	:	PUNCT
ap-5709	361	10	1	1	X
ap-5709	361	11	.	.	X
ap-5709	361	12	averaging	average	VERB
ap-5709	361	13	procedure	procedure	NOUN
ap-5709	361	14	.	.	PUNCT
ap-5709	362	1	adv	adv	PROPN
ap-5709	362	2	water	water	PROPN
ap-5709	362	3	resour	resour	PROPN
ap-5709	362	4	2:131–144	2:131–144	NUM
ap-5709	362	5	,	,	PUNCT
ap-5709	362	6	1979	1979	NUM
ap-5709	362	7	.	.	PUNCT
ap-5709	363	1	doi:10.1016/0309	doi:10.1016/0309	NOUN
ap-5709	363	2	-	-	PUNCT
ap-5709	363	3	1708(79)90025	1708(79)90025	NUM
ap-5709	363	4	-	-	SYM
ap-5709	363	5	3	3	NUM
ap-5709	363	6	.	.	PUNCT
ap-5709	364	1	[	[	X
ap-5709	364	2	11	11	NUM
ap-5709	364	3	]	]	PUNCT
ap-5709	364	4	m.	m.	NOUN
ap-5709	364	5	hassanizadeh	hassanizadeh	PROPN
ap-5709	364	6	,	,	PUNCT
ap-5709	364	7	w.	w.	PROPN
ap-5709	364	8	g.	g.	PROPN
ap-5709	364	9	gray	gray	PROPN
ap-5709	364	10	.	.	PUNCT
ap-5709	365	1	general	general	ADJ
ap-5709	365	2	conservation	conservation	NOUN
ap-5709	365	3	equations	equation	NOUN
ap-5709	365	4	for	for	ADP
ap-5709	365	5	multi	multi	ADJ
ap-5709	365	6	-	-	ADJ
ap-5709	365	7	phase	phase	NOUN
ap-5709	365	8	systems	system	NOUN
ap-5709	365	9	:	:	PUNCT
ap-5709	365	10	2	2	X
ap-5709	365	11	.	.	X
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ap-5709	365	13	,	,	PUNCT
ap-5709	365	14	momenta	momenta	NOUN
ap-5709	365	15	,	,	PUNCT
ap-5709	365	16	energy	energy	NOUN
ap-5709	365	17	,	,	PUNCT
ap-5709	365	18	and	and	CCONJ
ap-5709	365	19	entropy	entropy	PROPN
ap-5709	365	20	equations	equation	NOUN
ap-5709	365	21	.	.	PUNCT
ap-5709	366	1	adv	adv	PROPN
ap-5709	366	2	water	water	NOUN
ap-5709	366	3	resour	resour	PROPN
ap-5709	366	4	2:191–203	2:191–203	NOUN
ap-5709	366	5	,	,	PUNCT
ap-5709	366	6	1979	1979	NUM
ap-5709	366	7	.	.	PUNCT
ap-5709	367	1	doi:10.1016/0309	doi:10.1016/0309	NOUN
ap-5709	367	2	-	-	PUNCT
ap-5709	367	3	1708(79)90035	1708(79)90035	NUM
ap-5709	367	4	-	-	PUNCT
ap-5709	367	5	6	6	NUM
ap-5709	367	6	.	.	PUNCT
ap-5709	368	1	[	[	X
ap-5709	368	2	12	12	NUM
ap-5709	368	3	]	]	PUNCT
ap-5709	368	4	m.	m.	NOUN
ap-5709	368	5	hassanizadeh	hassanizadeh	PROPN
ap-5709	368	6	,	,	PUNCT
ap-5709	368	7	w.	w.	PROPN
ap-5709	368	8	g.	g.	PROPN
ap-5709	368	9	gray	gray	PROPN
ap-5709	368	10	.	.	PUNCT
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ap-5709	369	2	conservation	conservation	NOUN
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ap-5709	369	4	for	for	ADP
ap-5709	369	5	multi	multi	ADJ
ap-5709	369	6	-	-	ADJ
ap-5709	369	7	phase	phase	NOUN
ap-5709	369	8	systems	system	NOUN
ap-5709	369	9	:	:	PUNCT
ap-5709	369	10	3	3	X
ap-5709	369	11	.	.	X
ap-5709	369	12	constitutive	constitutive	ADJ
ap-5709	369	13	theory	theory	NOUN
ap-5709	369	14	for	for	ADP
ap-5709	369	15	porous	porous	ADJ
ap-5709	369	16	media	medium	NOUN
ap-5709	369	17	flow	flow	NOUN
ap-5709	369	18	.	.	PUNCT
ap-5709	370	1	adv	adv	PROPN
ap-5709	370	2	water	water	PROPN
ap-5709	370	3	resour	resour	PROPN
ap-5709	370	4	3(1):25–40	3(1):25–40	NUM
ap-5709	370	5	,	,	PUNCT
ap-5709	370	6	1980	1980	NUM
ap-5709	370	7	.	.	PUNCT
ap-5709	371	1	doi:10.1016/0309	doi:10.1016/0309	NOUN
ap-5709	371	2	-	-	PUNCT
ap-5709	371	3	1708(80)90016	1708(80)90016	NUM
ap-5709	371	4	-	-	PUNCT
ap-5709	371	5	0	0	NUM
ap-5709	371	6	.	.	PUNCT
ap-5709	372	1	[	[	X
ap-5709	372	2	13	13	NUM
ap-5709	372	3	]	]	PUNCT
ap-5709	372	4	k.	k.	PROPN
ap-5709	372	5	maekawa	maekawa	PROPN
ap-5709	372	6	,	,	PUNCT
ap-5709	372	7	r.	r.	NOUN
ap-5709	372	8	chaube	chaube	NOUN
ap-5709	372	9	,	,	PUNCT
ap-5709	372	10	t.	t.	PROPN
ap-5709	372	11	kishi	kishi	PROPN
ap-5709	372	12	.	.	PUNCT
ap-5709	373	1	modelling	modelling	NOUN
ap-5709	373	2	of	of	ADP
ap-5709	373	3	concrete	concrete	ADJ
ap-5709	373	4	performance	performance	NOUN
ap-5709	373	5	:	:	PUNCT
ap-5709	373	6	hydration	hydration	NOUN
ap-5709	373	7	,	,	PUNCT
ap-5709	373	8	microstructure	microstructure	ADJ
ap-5709	373	9	formation	formation	NOUN
ap-5709	373	10	,	,	PUNCT
ap-5709	373	11	and	and	CCONJ
ap-5709	373	12	mass	mass	NOUN
ap-5709	373	13	transport	transport	NOUN
ap-5709	373	14	.	.	PUNCT
ap-5709	374	1	e	e	PROPN
ap-5709	374	2	&	&	CCONJ
ap-5709	374	3	fn	fn	PROPN
ap-5709	374	4	spon	spon	PROPN
ap-5709	374	5	,	,	PUNCT
ap-5709	374	6	1999	1999	NUM
ap-5709	374	7	.	.	PUNCT
ap-5709	375	1	[	[	X
ap-5709	375	2	14	14	NUM
ap-5709	375	3	]	]	PUNCT
ap-5709	375	4	k.	k.	PROPN
ap-5709	375	5	maekawa	maekawa	PROPN
ap-5709	375	6	,	,	PUNCT
ap-5709	375	7	t.	t.	PROPN
ap-5709	375	8	ishida	ishida	PROPN
ap-5709	375	9	,	,	PUNCT
ap-5709	375	10	t.	t.	PROPN
ap-5709	375	11	kishi	kishi	PROPN
ap-5709	375	12	.	.	PUNCT
ap-5709	376	1	multi	multi	ADJ
ap-5709	376	2	-	-	NOUN
ap-5709	376	3	scale	scale	ADJ
ap-5709	376	4	modeling	modeling	NOUN
ap-5709	376	5	of	of	ADP
ap-5709	376	6	concrete	concrete	ADJ
ap-5709	376	7	performance	performance	NOUN
ap-5709	376	8	.	.	PUNCT
ap-5709	377	1	j	j	PROPN
ap-5709	377	2	adv	adv	PROPN
ap-5709	377	3	concr	concr	VERB
ap-5709	377	4	technol	technol	ADJ
ap-5709	377	5	1(2):91–126	1(2):91–126	NOUN
ap-5709	377	6	,	,	PUNCT
ap-5709	377	7	2003	2003	NUM
ap-5709	377	8	.	.	PUNCT
ap-5709	378	1	doi:10.3151	doi:10.3151	PROPN
ap-5709	378	2	/	/	SYM
ap-5709	378	3	jact.1.91	jact.1.91	PROPN
ap-5709	378	4	.	.	PUNCT
ap-5709	379	1	[	[	X
ap-5709	379	2	15	15	NUM
ap-5709	379	3	]	]	X
ap-5709	379	4	y.	y.	PROPN
ap-5709	379	5	zhang	zhang	PROPN
ap-5709	379	6	,	,	PUNCT
ap-5709	379	7	c.	c.	PROPN
ap-5709	379	8	pichler	pichler	NOUN
ap-5709	379	9	,	,	PUNCT
ap-5709	379	10	y.	y.	PROPN
ap-5709	379	11	yuan	yuan	PROPN
ap-5709	379	12	,	,	PUNCT
ap-5709	379	13	et	et	PROPN
ap-5709	379	14	al	al	PROPN
ap-5709	379	15	.	.	PUNCT
ap-5709	379	16	micromechanics	micromechanic	NOUN
ap-5709	379	17	-	-	PUNCT
ap-5709	379	18	based	base	VERB
ap-5709	379	19	multifield	multifield	NOUN
ap-5709	379	20	framework	framework	NOUN
ap-5709	379	21	for	for	ADP
ap-5709	379	22	early	early	ADJ
ap-5709	379	23	-	-	PUNCT
ap-5709	379	24	age	age	NOUN
ap-5709	379	25	concrete	concrete	NOUN
ap-5709	379	26	.	.	PUNCT
ap-5709	380	1	eng	eng	PROPN
ap-5709	380	2	struct	struct	VERB
ap-5709	380	3	47:16–24	47:16–24	PROPN
ap-5709	380	4	,	,	PUNCT
ap-5709	380	5	2013	2013	NUM
ap-5709	380	6	.	.	PUNCT
ap-5709	381	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	381	2	/	/	SYM
ap-5709	381	3	j.engstruct.2012.08.015	j.engstruct.2012.08.015	PROPN
ap-5709	381	4	.	.	PUNCT
ap-5709	382	1	[	[	X
ap-5709	382	2	16	16	NUM
ap-5709	382	3	]	]	X
ap-5709	382	4	l.	l.	PROPN
ap-5709	382	5	jendele	jendele	PROPN
ap-5709	382	6	,	,	PUNCT
ap-5709	382	7	v.	v.	PROPN
ap-5709	382	8	šmilauer	šmilauer	PROPN
ap-5709	382	9	,	,	PUNCT
ap-5709	382	10	j.	j.	PROPN
ap-5709	382	11	červenka	červenka	PROPN
ap-5709	382	12	.	.	PUNCT
ap-5709	383	1	multiscale	multiscale	ADJ
ap-5709	383	2	hydro	hydro	PROPN
ap-5709	383	3	-	-	PUNCT
ap-5709	383	4	thermo	thermo	NOUN
ap-5709	383	5	-	-	PUNCT
ap-5709	383	6	mechanical	mechanical	ADJ
ap-5709	383	7	model	model	NOUN
ap-5709	383	8	for	for	ADP
ap-5709	383	9	early	early	ADJ
ap-5709	383	10	-	-	PUNCT
ap-5709	383	11	age	age	NOUN
ap-5709	383	12	and	and	CCONJ
ap-5709	383	13	mature	mature	ADJ
ap-5709	383	14	concrete	concrete	ADJ
ap-5709	383	15	structures	structure	NOUN
ap-5709	383	16	.	.	PUNCT
ap-5709	384	1	adv	adv	PROPN
ap-5709	384	2	eng	eng	PROPN
ap-5709	385	1	softw	softw	PROPN
ap-5709	385	2	72:134–146	72:134–146	PROPN
ap-5709	385	3	,	,	PUNCT
ap-5709	385	4	2014	2014	NUM
ap-5709	385	5	.	.	PUNCT
ap-5709	386	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	386	2	/	/	SYM
ap-5709	386	3	j.advengsoft.2013.05.002	j.advengsoft.2013.05.002	PROPN
ap-5709	386	4	.	.	PUNCT
ap-5709	387	1	[	[	X
ap-5709	387	2	17	17	NUM
ap-5709	387	3	]	]	PUNCT
ap-5709	387	4	m.	m.	NOUN
ap-5709	387	5	beneš	beneš	NOUN
ap-5709	387	6	,	,	PUNCT
ap-5709	387	7	i.	i.	PROPN
ap-5709	387	8	pažanin	pažanin	PROPN
ap-5709	387	9	.	.	PUNCT
ap-5709	388	1	homogenization	homogenization	NOUN
ap-5709	388	2	of	of	ADP
ap-5709	388	3	degenerate	degenerate	ADJ
ap-5709	388	4	coupled	couple	VERB
ap-5709	388	5	transport	transport	NOUN
ap-5709	388	6	processes	process	NOUN
ap-5709	388	7	in	in	ADP
ap-5709	388	8	porous	porous	ADJ
ap-5709	388	9	media	medium	NOUN
ap-5709	388	10	with	with	ADP
ap-5709	388	11	memory	memory	NOUN
ap-5709	388	12	terms	term	NOUN
ap-5709	388	13	.	.	PUNCT
ap-5709	389	1	to	to	PART
ap-5709	389	2	appear	appear	VERB
ap-5709	389	3	in	in	ADP
ap-5709	389	4	math	math	NOUN
ap-5709	389	5	meth	meth	NOUN
ap-5709	389	6	appl	appl	PROPN
ap-5709	389	7	sci	sci	PROPN
ap-5709	389	8	doi:10.1002	doi:10.1002	NOUN
ap-5709	389	9	/	/	SYM
ap-5709	389	10	mma.5718	mma.5718	NOUN
ap-5709	389	11	.	.	PUNCT
ap-5709	390	1	[	[	X
ap-5709	390	2	18	18	NUM
ap-5709	390	3	]	]	PUNCT
ap-5709	390	4	m.	m.	NOUN
ap-5709	390	5	beneš	beneš	PROPN
ap-5709	390	6	,	,	PUNCT
ap-5709	390	7	r.	r.	PROPN
ap-5709	390	8	štefan	štefan	PROPN
ap-5709	390	9	.	.	PUNCT
ap-5709	391	1	homogenization	homogenization	NOUN
ap-5709	391	2	of	of	ADP
ap-5709	391	3	transport	transport	NOUN
ap-5709	391	4	processes	process	NOUN
ap-5709	391	5	in	in	ADP
ap-5709	391	6	early	early	ADJ
ap-5709	391	7	age	age	NOUN
ap-5709	391	8	concrete	concrete	NOUN
ap-5709	391	9	.	.	PUNCT
ap-5709	392	1	aip	aip	PROPN
ap-5709	392	2	conference	conference	NOUN
ap-5709	392	3	proceedings	proceeding	NOUN
ap-5709	392	4	2116(1):450028	2116(1):450028	NOUN
ap-5709	392	5	,	,	PUNCT
ap-5709	392	6	2019	2019	NUM
ap-5709	392	7	.	.	PUNCT
ap-5709	393	1	doi:10.1063/1.5114495	doi:10.1063/1.5114495	ADJ
ap-5709	393	2	.	.	PUNCT
ap-5709	394	1	[	[	X
ap-5709	394	2	19	19	NUM
ap-5709	394	3	]	]	PUNCT
ap-5709	394	4	j.	j.	PROPN
ap-5709	394	5	f.	f.	PROPN
ap-5709	394	6	bourgat	bourgat	PROPN
ap-5709	394	7	.	.	PUNCT
ap-5709	395	1	numerical	numerical	ADJ
ap-5709	395	2	experiments	experiment	NOUN
ap-5709	395	3	of	of	ADP
ap-5709	395	4	the	the	DET
ap-5709	395	5	homogenization	homogenization	NOUN
ap-5709	395	6	method	method	NOUN
ap-5709	395	7	.	.	PUNCT
ap-5709	396	1	in	in	ADP
ap-5709	396	2	r.	r.	PROPN
ap-5709	396	3	glowinski	glowinski	PROPN
ap-5709	396	4	,	,	PUNCT
ap-5709	396	5	j.	j.	PROPN
ap-5709	396	6	l.	l.	PROPN
ap-5709	396	7	lions	lions	PROPN
ap-5709	396	8	(	(	PUNCT
ap-5709	396	9	eds	ed	NOUN
ap-5709	396	10	.	.	PUNCT
ap-5709	396	11	)	)	PUNCT
ap-5709	396	12	,	,	PUNCT
ap-5709	396	13	computing	compute	VERB
ap-5709	396	14	methods	method	NOUN
ap-5709	396	15	in	in	ADP
ap-5709	396	16	applied	applied	ADJ
ap-5709	396	17	sciences	science	NOUN
ap-5709	396	18	and	and	CCONJ
ap-5709	396	19	engineering	engineering	NOUN
ap-5709	396	20	,	,	PUNCT
ap-5709	396	21	1977	1977	NUM
ap-5709	396	22	,	,	PUNCT
ap-5709	396	23	i	i	PRON
ap-5709	396	24	,	,	PUNCT
ap-5709	396	25	pp	pp	ADJ
ap-5709	396	26	.	.	PUNCT
ap-5709	397	1	330–356	330–356	NUM
ap-5709	397	2	.	.	PUNCT
ap-5709	397	3	springer	springer	NOUN
ap-5709	397	4	,	,	PUNCT
ap-5709	397	5	1979	1979	NUM
ap-5709	397	6	.	.	PUNCT
ap-5709	398	1	doi:10.1007	doi:10.1007	NOUN
ap-5709	398	2	/	/	SYM
ap-5709	398	3	bfb0063630	bfb0063630	NOUN
ap-5709	398	4	.	.	PUNCT
ap-5709	399	1	[	[	X
ap-5709	399	2	20	20	NUM
ap-5709	399	3	]	]	PUNCT
ap-5709	399	4	r.	r.	PROPN
ap-5709	399	5	f.	f.	PROPN
ap-5709	399	6	sviercoski	sviercoski	PROPN
ap-5709	399	7	,	,	PUNCT
ap-5709	399	8	c.	c.	PROPN
ap-5709	399	9	l.	l.	PROPN
ap-5709	399	10	winter	winter	PROPN
ap-5709	399	11	,	,	PUNCT
ap-5709	399	12	a.	a.	PROPN
ap-5709	399	13	w.	w.	PROPN
ap-5709	399	14	warrick	warrick	PROPN
ap-5709	399	15	.	.	PUNCT
ap-5709	400	1	analytical	analytical	ADJ
ap-5709	400	2	approximation	approximation	NOUN
ap-5709	400	3	for	for	ADP
ap-5709	400	4	the	the	DET
ap-5709	400	5	generalized	generalized	ADJ
ap-5709	400	6	laplace	laplace	NOUN
ap-5709	400	7	equation	equation	NOUN
ap-5709	400	8	with	with	ADP
ap-5709	400	9	step	step	NOUN
ap-5709	400	10	function	function	NOUN
ap-5709	400	11	coefficient	coefficient	NOUN
ap-5709	400	12	.	.	PUNCT
ap-5709	401	1	siam	siam	PROPN
ap-5709	401	2	j	j	PROPN
ap-5709	401	3	appl	appl	PROPN
ap-5709	401	4	math	math	PROPN
ap-5709	401	5	68(5):1268–1281	68(5):1268–1281	PROPN
ap-5709	401	6	,	,	PUNCT
ap-5709	401	7	2008	2008	NUM
ap-5709	401	8	.	.	PUNCT
ap-5709	402	1	doi:10.1137/070683465	doi:10.1137/070683465	X
ap-5709	402	2	.	.	PUNCT
ap-5709	403	1	[	[	X
ap-5709	403	2	21	21	NUM
ap-5709	403	3	]	]	X
ap-5709	403	4	r.	r.	PROPN
ap-5709	403	5	f.	f.	PROPN
ap-5709	403	6	sviercoski	sviercoski	PROPN
ap-5709	403	7	,	,	PUNCT
ap-5709	403	8	b.	b.	PROPN
ap-5709	403	9	j.	j.	PROPN
ap-5709	403	10	travis	travis	PROPN
ap-5709	403	11	,	,	PUNCT
ap-5709	403	12	j.	j.	PROPN
ap-5709	403	13	m.	m.	PROPN
ap-5709	403	14	hyman	hyman	PROPN
ap-5709	403	15	.	.	PUNCT
ap-5709	404	1	analytical	analytical	ADJ
ap-5709	404	2	effective	effective	ADJ
ap-5709	404	3	coefficient	coefficient	NOUN
ap-5709	404	4	and	and	CCONJ
ap-5709	404	5	a	a	DET
ap-5709	404	6	first	first	ADJ
ap-5709	404	7	-	-	PUNCT
ap-5709	404	8	order	order	NOUN
ap-5709	404	9	approximation	approximation	NOUN
ap-5709	404	10	for	for	ADP
ap-5709	404	11	linear	linear	ADJ
ap-5709	404	12	flow	flow	NOUN
ap-5709	404	13	through	through	ADP
ap-5709	404	14	block	block	NOUN
ap-5709	404	15	permeability	permeability	NOUN
ap-5709	404	16	inclusions	inclusion	NOUN
ap-5709	404	17	.	.	PUNCT
ap-5709	405	1	comput	comput	PROPN
ap-5709	405	2	math	math	PROPN
ap-5709	405	3	appl	appl	PROPN
ap-5709	405	4	55(9):2118	55(9):2118	NUM
ap-5709	405	5	–	–	PUNCT
ap-5709	405	6	2133	2133	NUM
ap-5709	405	7	,	,	PUNCT
ap-5709	405	8	2008	2008	NUM
ap-5709	405	9	.	.	PUNCT
ap-5709	406	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	406	2	/	/	SYM
ap-5709	406	3	j.camwa.2007.07.016	j.camwa.2007.07.016	PROPN
ap-5709	406	4	.	.	PUNCT
ap-5709	407	1	[	[	X
ap-5709	407	2	22	22	NUM
ap-5709	407	3	]	]	PUNCT
ap-5709	407	4	r.	r.	PROPN
ap-5709	407	5	f.	f.	PROPN
ap-5709	407	6	sviercoski	sviercoski	PROPN
ap-5709	407	7	,	,	PUNCT
ap-5709	407	8	a.	a.	PROPN
ap-5709	407	9	w.	w.	PROPN
ap-5709	407	10	warrick	warrick	PROPN
ap-5709	407	11	,	,	PUNCT
ap-5709	407	12	c.	c.	PROPN
ap-5709	407	13	l.	l.	PROPN
ap-5709	407	14	winter	winter	PROPN
ap-5709	407	15	.	.	PUNCT
ap-5709	408	1	two	two	NUM
ap-5709	408	2	-	-	PUNCT
ap-5709	408	3	scale	scale	NOUN
ap-5709	408	4	analytical	analytical	ADJ
ap-5709	408	5	homogenization	homogenization	NOUN
ap-5709	408	6	of	of	ADP
ap-5709	408	7	richards	richard	NOUN
ap-5709	408	8	’	'	PUNCT
ap-5709	408	9	equation	equation	NOUN
ap-5709	408	10	for	for	ADP
ap-5709	408	11	flows	flow	NOUN
ap-5709	408	12	through	through	ADP
ap-5709	408	13	block	block	NOUN
ap-5709	408	14	inclusions	inclusion	NOUN
ap-5709	408	15	.	.	PUNCT
ap-5709	409	1	water	water	NOUN
ap-5709	409	2	resour	resour	NOUN
ap-5709	409	3	res	re	NOUN
ap-5709	409	4	45(5	45(5	NOUN
ap-5709	409	5	)	)	PUNCT
ap-5709	409	6	,	,	PUNCT
ap-5709	409	7	2009	2009	NUM
ap-5709	409	8	.	.	PUNCT
ap-5709	410	1	doi:10.1029/2006wr005598	doi:10.1029/2006wr005598	NOUN
ap-5709	410	2	.	.	PUNCT
ap-5709	411	1	[	[	X
ap-5709	411	2	23	23	NUM
ap-5709	411	3	]	]	X
ap-5709	411	4	r.	r.	PROPN
ap-5709	411	5	f.	f.	PROPN
ap-5709	411	6	sviercoski	sviercoski	PROPN
ap-5709	411	7	,	,	PUNCT
ap-5709	411	8	p.	p.	PROPN
ap-5709	411	9	popov	popov	PROPN
ap-5709	411	10	,	,	PUNCT
ap-5709	411	11	b.	b.	PROPN
ap-5709	411	12	j.	j.	PROPN
ap-5709	411	13	travis	travis	PROPN
ap-5709	411	14	.	.	PROPN
ap-5709	412	1	zeroth	zeroth	PROPN
ap-5709	412	2	and	and	CCONJ
ap-5709	412	3	first	first	ADJ
ap-5709	412	4	-	-	PUNCT
ap-5709	412	5	order	order	NOUN
ap-5709	412	6	homogenized	homogenize	VERB
ap-5709	412	7	approximations	approximation	NOUN
ap-5709	412	8	to	to	ADP
ap-5709	412	9	nonlinear	nonlinear	ADJ
ap-5709	412	10	diffusion	diffusion	NOUN
ap-5709	412	11	through	through	ADP
ap-5709	412	12	block	block	NOUN
ap-5709	412	13	inclusions	inclusion	NOUN
ap-5709	412	14	by	by	ADP
ap-5709	412	15	an	an	DET
ap-5709	412	16	analytical	analytical	ADJ
ap-5709	412	17	approach	approach	NOUN
ap-5709	412	18	.	.	PUNCT
ap-5709	413	1	comput	comput	ADJ
ap-5709	413	2	methods	method	NOUN
ap-5709	413	3	appl	appl	PROPN
ap-5709	413	4	mech	mech	NOUN
ap-5709	413	5	engrg	engrg	ADJ
ap-5709	413	6	198(30):2260–2271	198(30):2260–2271	NUM
ap-5709	413	7	,	,	PUNCT
ap-5709	413	8	2009	2009	NUM
ap-5709	413	9	.	.	PUNCT
ap-5709	414	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	414	2	/	/	SYM
ap-5709	414	3	j.cma.2009.02.020	j.cma.2009.02.020	PROPN
ap-5709	414	4	.	.	PUNCT
ap-5709	415	1	[	[	X
ap-5709	415	2	24	24	NUM
ap-5709	415	3	]	]	PUNCT
ap-5709	415	4	j.	j.	PROPN
ap-5709	415	5	c.	c.	PROPN
ap-5709	415	6	michel	michel	PROPN
ap-5709	415	7	,	,	PUNCT
ap-5709	415	8	h.	h.	PROPN
ap-5709	415	9	moulinec	moulinec	PROPN
ap-5709	415	10	,	,	PUNCT
ap-5709	415	11	p.	p.	NOUN
ap-5709	415	12	suquet	suquet	NOUN
ap-5709	415	13	.	.	PUNCT
ap-5709	415	14	effective	effective	ADJ
ap-5709	415	15	properties	property	NOUN
ap-5709	415	16	of	of	ADP
ap-5709	415	17	composite	composite	ADJ
ap-5709	415	18	materials	material	NOUN
ap-5709	415	19	with	with	ADP
ap-5709	415	20	periodic	periodic	ADJ
ap-5709	415	21	microstructure	microstructure	NOUN
ap-5709	415	22	:	:	PUNCT
ap-5709	415	23	a	a	DET
ap-5709	415	24	computational	computational	ADJ
ap-5709	415	25	approach	approach	NOUN
ap-5709	415	26	.	.	PUNCT
ap-5709	416	1	comput	comput	ADJ
ap-5709	416	2	methods	method	NOUN
ap-5709	416	3	appl	appl	PROPN
ap-5709	416	4	mech	mech	NOUN
ap-5709	416	5	engrg	engrg	PROPN
ap-5709	416	6	172(1):109––143	172(1):109––143	NUM
ap-5709	416	7	,	,	PUNCT
ap-5709	416	8	1999	1999	NUM
ap-5709	416	9	.	.	PUNCT
ap-5709	417	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	417	2	/	/	SYM
ap-5709	417	3	s0045	s0045	PROPN
ap-5709	417	4	-	-	PUNCT
ap-5709	417	5	7825(98)00227	7825(98)00227	NOUN
ap-5709	417	6	-	-	PUNCT
ap-5709	417	7	8	8	NUM
ap-5709	417	8	.	.	PUNCT
ap-5709	418	1	[	[	X
ap-5709	418	2	25	25	NUM
ap-5709	418	3	]	]	PUNCT
ap-5709	418	4	z.	z.	PROPN
ap-5709	418	5	chen	chen	PROPN
ap-5709	418	6	,	,	PUNCT
ap-5709	418	7	w.	w.	PROPN
ap-5709	418	8	den	den	PROPN
ap-5709	418	9	,	,	PUNCT
ap-5709	418	10	h.	h.	PROPN
ap-5709	418	11	ye	ye	PROPN
ap-5709	418	12	.	.	PUNCT
ap-5709	418	13	upscaling	upscale	VERB
ap-5709	418	14	of	of	ADP
ap-5709	418	15	a	a	DET
ap-5709	418	16	class	class	NOUN
ap-5709	418	17	of	of	ADP
ap-5709	418	18	nonlinear	nonlinear	ADJ
ap-5709	418	19	parabolic	parabolic	ADJ
ap-5709	418	20	equations	equation	NOUN
ap-5709	418	21	for	for	ADP
ap-5709	418	22	the	the	DET
ap-5709	418	23	flow	flow	NOUN
ap-5709	418	24	transport	transport	NOUN
ap-5709	418	25	in	in	ADP
ap-5709	418	26	heterogeneous	heterogeneous	ADJ
ap-5709	418	27	porous	porous	ADJ
ap-5709	418	28	media	medium	NOUN
ap-5709	418	29	.	.	PUNCT
ap-5709	419	1	commun	commun	PROPN
ap-5709	419	2	math	math	PROPN
ap-5709	419	3	sci	sci	PROPN
ap-5709	419	4	3(4):493–515	3(4):493–515	PROPN
ap-5709	419	5	,	,	PUNCT
ap-5709	419	6	2005	2005	NUM
ap-5709	419	7	.	.	PUNCT
ap-5709	420	1	doi:10.4310	doi:10.4310	NOUN
ap-5709	420	2	/	/	SYM
ap-5709	420	3	cms.2005.v3.n4.a2	cms.2005.v3.n4.a2	NOUN
ap-5709	420	4	.	.	PUNCT
ap-5709	421	1	[	[	X
ap-5709	421	2	26	26	NUM
ap-5709	421	3	]	]	X
ap-5709	421	4	h.	h.	PROPN
ap-5709	421	5	w.	w.	PROPN
ap-5709	421	6	zhang	zhang	PROPN
ap-5709	421	7	,	,	PUNCT
ap-5709	421	8	s.	s.	PROPN
ap-5709	421	9	zhang	zhang	PROPN
ap-5709	421	10	,	,	PUNCT
ap-5709	421	11	j.	j.	PROPN
ap-5709	421	12	y.	y.	PROPN
ap-5709	421	13	bi	bi	PROPN
ap-5709	421	14	,	,	PUNCT
ap-5709	421	15	b.	b.	PROPN
ap-5709	421	16	a.	a.	NOUN
ap-5709	421	17	schrefler	schrefler	PROPN
ap-5709	421	18	.	.	PUNCT
ap-5709	422	1	thermo	thermo	NOUN
ap-5709	422	2	-	-	PUNCT
ap-5709	422	3	mechanical	mechanical	ADJ
ap-5709	422	4	analysis	analysis	NOUN
ap-5709	422	5	of	of	ADP
ap-5709	422	6	periodic	periodic	ADJ
ap-5709	422	7	multiphase	multiphase	NOUN
ap-5709	422	8	materials	material	NOUN
ap-5709	422	9	by	by	ADP
ap-5709	422	10	a	a	DET
ap-5709	422	11	multiscale	multiscale	ADJ
ap-5709	422	12	asymptotic	asymptotic	ADJ
ap-5709	422	13	homogenization	homogenization	NOUN
ap-5709	422	14	approach	approach	NOUN
ap-5709	422	15	.	.	PUNCT
ap-5709	423	1	int	int	PROPN
ap-5709	424	1	j	j	PROPN
ap-5709	424	2	numer	numer	PROPN
ap-5709	424	3	meth	meth	PROPN
ap-5709	424	4	eng	eng	PROPN
ap-5709	424	5	69(1):87–113	69(1):87–113	PROPN
ap-5709	424	6	,	,	PUNCT
ap-5709	424	7	2007	2007	NUM
ap-5709	424	8	.	.	PUNCT
ap-5709	425	1	doi:10.1002	doi:10.1002	NOUN
ap-5709	425	2	/	/	SYM
ap-5709	425	3	nme.1757	nme.1757	PROPN
ap-5709	425	4	.	.	PUNCT
ap-5709	426	1	23	23	NUM
ap-5709	426	2	http://dx.doi.org/10.1061/(asce)0733-9399(1995)121:7(785	http://dx.doi.org/10.1061/(asce)0733-9399(1995)121:7(785	NUM
ap-5709	426	3	)	)	PUNCT
ap-5709	426	4	http://dx.doi.org/10.1061/(asce)0733-9399(1999)125:9(1018	http://dx.doi.org/10.1061/(asce)0733-9399(1999)125:9(1018	NOUN
ap-5709	426	5	)	)	PUNCT
ap-5709	426	6	http://dx.doi.org/10.1016/s0045-7949(02)00104-9	http://dx.doi.org/10.1016/s0045-7949(02)00104-9	ADJ
ap-5709	426	7	http://dx.doi.org/10.1002/nme.1615	http://dx.doi.org/10.1002/nme.1615	PROPN
ap-5709	426	8	http://dx.doi.org/10.1016/j.cemconcomp.2009.02.015	http://dx.doi.org/10.1016/j.cemconcomp.2009.02.015	PROPN
ap-5709	426	9	http://dx.doi.org/10.1007/s10973-015-4782-y	http://dx.doi.org/10.1007/s10973-015-4782-y	NUM
ap-5709	426	10	http://dx.doi.org/10.1007/978-3-319-76617-1	http://dx.doi.org/10.1007/978-3-319-76617-1	X
ap-5709	427	1	http://dx.doi.org/10.1016/j.ijsolstr.2015.03.016	http://dx.doi.org/10.1016/j.ijsolstr.2015.03.016	PROPN
ap-5709	427	2	http://dx.doi.org/10.1016/0309-1708(79)90025-3	http://dx.doi.org/10.1016/0309-1708(79)90025-3	INTJ
ap-5709	427	3	http://dx.doi.org/10.1016/0309-1708(79)90035-6	http://dx.doi.org/10.1016/0309-1708(79)90035-6	NOUN
ap-5709	428	1	http://dx.doi.org/10.1016/0309-1708(80)90016-0	http://dx.doi.org/10.1016/0309-1708(80)90016-0	ADV
ap-5709	428	2	http://dx.doi.org/10.3151/jact.1.91	http://dx.doi.org/10.3151/jact.1.91	PUNCT
ap-5709	428	3	http://dx.doi.org/10.1016/j.engstruct.2012.08.015	http://dx.doi.org/10.1016/j.engstruct.2012.08.015	VERB
ap-5709	428	4	http://dx.doi.org/10.1016/j.advengsoft.2013.05.002	http://dx.doi.org/10.1016/j.advengsoft.2013.05.002	NOUN
ap-5709	428	5	http://dx.doi.org/10.1002/mma.5718	http://dx.doi.org/10.1002/mma.5718	PROPN
ap-5709	428	6	http://dx.doi.org/10.1063/1.5114495	http://dx.doi.org/10.1063/1.5114495	PROPN
ap-5709	428	7	http://dx.doi.org/10.1007/bfb0063630	http://dx.doi.org/10.1007/bfb0063630	AUX
ap-5709	428	8	http://dx.doi.org/10.1137/070683465	http://dx.doi.org/10.1137/070683465	VERB
ap-5709	428	9	http://dx.doi.org/10.1016/j.camwa.2007.07.016	http://dx.doi.org/10.1016/j.camwa.2007.07.016	PROPN
ap-5709	429	1	http://dx.doi.org/10.1029/2006wr005598	http://dx.doi.org/10.1029/2006wr005598	PROPN
ap-5709	429	2	http://dx.doi.org/10.1016/j.cma.2009.02.020	http://dx.doi.org/10.1016/j.cma.2009.02.020	VERB
ap-5709	429	3	http://dx.doi.org/10.1016/s0045-7825(98)00227-8	http://dx.doi.org/10.1016/s0045-7825(98)00227-8	PROPN
ap-5709	429	4	http://dx.doi.org/10.4310/cms.2005.v3.n4.a2	http://dx.doi.org/10.4310/cms.2005.v3.n4.a2	PROPN
ap-5709	429	5	http://dx.doi.org/10.1002/nme.1757	http://dx.doi.org/10.1002/nme.1757	PROPN
ap-5709	429	6	michal	michal	PROPN
ap-5709	429	7	beneš	beneš	PROPN
ap-5709	429	8	,	,	PUNCT
ap-5709	429	9	radek	radek	PROPN
ap-5709	429	10	štefan	štefan	PROPN
ap-5709	429	11	acta	acta	PROPN
ap-5709	429	12	polytechnica	polytechnica	PROPN
ap-5709	430	1	[	[	X
ap-5709	430	2	27	27	NUM
ap-5709	430	3	]	]	X
ap-5709	430	4	d.	d.	PROPN
ap-5709	430	5	perić	perić	PROPN
ap-5709	430	6	,	,	PUNCT
ap-5709	430	7	e.	e.	PROPN
ap-5709	430	8	a.	a.	PROPN
ap-5709	430	9	de	de	PROPN
ap-5709	430	10	souza	souza	PROPN
ap-5709	430	11	neto	neto	PROPN
ap-5709	430	12	,	,	PUNCT
ap-5709	430	13	r.	r.	PROPN
ap-5709	430	14	a.	a.	PROPN
ap-5709	430	15	feijóo	feijóo	PROPN
ap-5709	430	16	,	,	PUNCT
ap-5709	430	17	et	et	PROPN
ap-5709	430	18	al	al	PROPN
ap-5709	430	19	.	.	PROPN
ap-5709	431	1	on	on	ADP
ap-5709	431	2	micro	micro	NOUN
ap-5709	431	3	-	-	PUNCT
ap-5709	431	4	to	to	ADP
ap-5709	431	5	-	-	PUNCT
ap-5709	431	6	macro	macro	NOUN
ap-5709	431	7	transitions	transition	NOUN
ap-5709	431	8	for	for	ADP
ap-5709	431	9	multi	multi	ADJ
ap-5709	431	10	-	-	ADJ
ap-5709	431	11	scale	scale	ADJ
ap-5709	431	12	analysis	analysis	NOUN
ap-5709	431	13	of	of	ADP
ap-5709	431	14	non	non	ADJ
ap-5709	431	15	-	-	ADJ
ap-5709	431	16	linear	linear	ADJ
ap-5709	431	17	heterogeneous	heterogeneous	ADJ
ap-5709	431	18	materials	material	NOUN
ap-5709	431	19	:	:	PUNCT
ap-5709	431	20	unified	unified	ADJ
ap-5709	431	21	variational	variational	ADJ
ap-5709	431	22	basis	basis	NOUN
ap-5709	431	23	and	and	CCONJ
ap-5709	431	24	finite	finite	ADJ
ap-5709	431	25	element	element	NOUN
ap-5709	431	26	implementation	implementation	NOUN
ap-5709	431	27	.	.	PUNCT
ap-5709	432	1	int	int	PROPN
ap-5709	433	1	j	j	PROPN
ap-5709	433	2	numer	numer	PROPN
ap-5709	433	3	meth	meth	PROPN
ap-5709	433	4	eng	eng	PROPN
ap-5709	433	5	87(1	87(1	PROPN
ap-5709	433	6	-	-	PUNCT
ap-5709	433	7	5):149–170	5):149–170	PROPN
ap-5709	433	8	,	,	PUNCT
ap-5709	433	9	2011	2011	NUM
ap-5709	433	10	.	.	PUNCT
ap-5709	434	1	doi:10.1002	doi:10.1002	NOUN
ap-5709	434	2	/	/	SYM
ap-5709	434	3	nme.3014	nme.3014	NUM
ap-5709	434	4	.	.	PUNCT
ap-5709	435	1	[	[	X
ap-5709	435	2	28	28	NUM
ap-5709	435	3	]	]	X
ap-5709	435	4	v.	v.	CCONJ
ap-5709	435	5	nguyen	nguyen	PROPN
ap-5709	435	6	,	,	PUNCT
ap-5709	435	7	e.	e.	PROPN
ap-5709	435	8	béchet	béchet	PROPN
ap-5709	435	9	,	,	PUNCT
ap-5709	435	10	c.	c.	PROPN
ap-5709	435	11	geuzaine	geuzaine	PROPN
ap-5709	435	12	,	,	PUNCT
ap-5709	435	13	l.	l.	PROPN
ap-5709	435	14	noels	noels	PROPN
ap-5709	435	15	.	.	PUNCT
ap-5709	436	1	imposing	impose	VERB
ap-5709	436	2	periodic	periodic	ADJ
ap-5709	436	3	boundary	boundary	ADJ
ap-5709	436	4	condition	condition	NOUN
ap-5709	436	5	on	on	ADP
ap-5709	436	6	arbitrary	arbitrary	ADJ
ap-5709	436	7	meshes	mesh	NOUN
ap-5709	436	8	by	by	ADP
ap-5709	436	9	polynomial	polynomial	ADJ
ap-5709	436	10	interpolation	interpolation	NOUN
ap-5709	436	11	.	.	PUNCT
ap-5709	437	1	comput	comput	NOUN
ap-5709	437	2	mater	mater	NOUN
ap-5709	437	3	sci	sci	PROPN
ap-5709	437	4	55:390––406	55:390––406	NUM
ap-5709	437	5	,	,	PUNCT
ap-5709	437	6	2012	2012	NUM
ap-5709	437	7	.	.	PUNCT
ap-5709	438	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	438	2	/	/	SYM
ap-5709	438	3	j.commatsci.2011.10.017	j.commatsci.2011.10.017	PROPN
ap-5709	438	4	.	.	PUNCT
ap-5709	439	1	[	[	X
ap-5709	439	2	29	29	NUM
ap-5709	439	3	]	]	PUNCT
ap-5709	439	4	m.	m.	NOUN
ap-5709	439	5	beneš	beneš	PROPN
ap-5709	439	6	,	,	PUNCT
ap-5709	439	7	i.	i.	PROPN
ap-5709	439	8	pažanin	pažanin	PROPN
ap-5709	439	9	.	.	PUNCT
ap-5709	440	1	on	on	ADP
ap-5709	440	2	degenerate	degenerate	ADJ
ap-5709	440	3	coupled	couple	VERB
ap-5709	440	4	transport	transport	NOUN
ap-5709	440	5	processes	process	NOUN
ap-5709	440	6	in	in	ADP
ap-5709	440	7	porous	porous	ADJ
ap-5709	440	8	media	medium	NOUN
ap-5709	440	9	with	with	ADP
ap-5709	440	10	memory	memory	NOUN
ap-5709	440	11	phenomena	phenomenon	NOUN
ap-5709	440	12	.	.	PUNCT
ap-5709	441	1	z	z	PROPN
ap-5709	441	2	angew	angew	PROPN
ap-5709	441	3	math	math	PROPN
ap-5709	441	4	mech	mech	PROPN
ap-5709	441	5	98(6):919–944	98(6):919–944	NUM
ap-5709	441	6	,	,	PUNCT
ap-5709	441	7	2018	2018	NUM
ap-5709	441	8	.	.	PUNCT
ap-5709	442	1	doi:10.1002	doi:10.1002	NOUN
ap-5709	442	2	/	/	SYM
ap-5709	442	3	zamm.201700158	zamm.201700158	PROPN
ap-5709	442	4	.	.	PUNCT
ap-5709	443	1	[	[	X
ap-5709	443	2	30	30	NUM
ap-5709	443	3	]	]	X
ap-5709	443	4	p.	p.	NOUN
ap-5709	443	5	g.	g.	PROPN
ap-5709	443	6	ciarlet	ciarlet	PROPN
ap-5709	443	7	.	.	PUNCT
ap-5709	444	1	the	the	DET
ap-5709	444	2	finite	finite	PROPN
ap-5709	444	3	element	element	NOUN
ap-5709	444	4	method	method	NOUN
ap-5709	444	5	for	for	ADP
ap-5709	444	6	elliptic	elliptic	ADJ
ap-5709	444	7	problems	problem	NOUN
ap-5709	444	8	.	.	PUNCT
ap-5709	445	1	elsevier	elsevier	NOUN
ap-5709	445	2	,	,	PUNCT
ap-5709	445	3	1978	1978	NUM
ap-5709	445	4	.	.	PUNCT
ap-5709	446	1	[	[	X
ap-5709	446	2	31	31	NUM
ap-5709	446	3	]	]	SYM
ap-5709	446	4	matlab	matlab	PROPN
ap-5709	446	5	.	.	PUNCT
ap-5709	446	6	version	version	PROPN
ap-5709	446	7	8.6.0	8.6.0	NUM
ap-5709	446	8	(	(	PUNCT
ap-5709	446	9	r2015b	r2015b	NOUN
ap-5709	446	10	)	)	PUNCT
ap-5709	446	11	.	.	PUNCT
ap-5709	447	1	the	the	DET
ap-5709	447	2	mathworks	mathworks	PROPN
ap-5709	447	3	,	,	PUNCT
ap-5709	447	4	inc	inc	PROPN
ap-5709	447	5	.	.	PROPN
ap-5709	447	6	,	,	PUNCT
ap-5709	447	7	natick	natick	PROPN
ap-5709	447	8	,	,	PUNCT
ap-5709	447	9	massachusetts	massachusetts	PROPN
ap-5709	447	10	,	,	PUNCT
ap-5709	447	11	united	united	PROPN
ap-5709	447	12	states	states	PROPN
ap-5709	447	13	,	,	PUNCT
ap-5709	447	14	2015	2015	NUM
ap-5709	447	15	.	.	PUNCT
ap-5709	448	1	[	[	X
ap-5709	448	2	32	32	NUM
ap-5709	448	3	]	]	PUNCT
ap-5709	448	4	z.	z.	PROPN
ap-5709	448	5	p.	p.	PROPN
ap-5709	448	6	bažant	bažant	PROPN
ap-5709	448	7	,	,	PUNCT
ap-5709	448	8	m.	m.	NOUN
ap-5709	448	9	jirásek	jirásek	NOUN
ap-5709	448	10	.	.	PUNCT
ap-5709	449	1	creep	creep	PROPN
ap-5709	449	2	and	and	CCONJ
ap-5709	449	3	hygrothermal	hygrothermal	ADJ
ap-5709	449	4	effects	effect	NOUN
ap-5709	449	5	in	in	ADP
ap-5709	449	6	concrete	concrete	ADJ
ap-5709	449	7	structures	structure	NOUN
ap-5709	449	8	.	.	PUNCT
ap-5709	450	1	springer	springer	NOUN
ap-5709	450	2	,	,	PUNCT
ap-5709	450	3	2018	2018	NUM
ap-5709	450	4	.	.	PUNCT
ap-5709	451	1	doi:10.1007/978	doi:10.1007/978	PROPN
ap-5709	451	2	-	-	PUNCT
ap-5709	451	3	94	94	NUM
ap-5709	451	4	-	-	PUNCT
ap-5709	451	5	024	024	NUM
ap-5709	451	6	-	-	PUNCT
ap-5709	451	7	1138	1138	NUM
ap-5709	451	8	-	-	PUNCT
ap-5709	451	9	6	6	NUM
ap-5709	451	10	.	.	PUNCT
ap-5709	452	1	[	[	X
ap-5709	452	2	33	33	NUM
ap-5709	452	3	]	]	PUNCT
ap-5709	452	4	c.	c.	PROPN
ap-5709	452	5	gonilho	gonilho	PROPN
ap-5709	452	6	pereira	pereira	PROPN
ap-5709	452	7	,	,	PUNCT
ap-5709	452	8	j.	j.	PROPN
ap-5709	452	9	castro	castro	PROPN
ap-5709	452	10	-	-	PUNCT
ap-5709	452	11	gomes	gomes	PROPN
ap-5709	452	12	,	,	PUNCT
ap-5709	452	13	l.	l.	PROPN
ap-5709	452	14	pereira	pereira	PROPN
ap-5709	452	15	de	de	PROPN
ap-5709	452	16	oliveira	oliveira	PROPN
ap-5709	452	17	.	.	PUNCT
ap-5709	453	1	influence	influence	NOUN
ap-5709	453	2	of	of	ADP
ap-5709	453	3	natural	natural	ADJ
ap-5709	453	4	coarse	coarse	ADJ
ap-5709	453	5	aggregate	aggregate	ADJ
ap-5709	453	6	size	size	NOUN
ap-5709	453	7	,	,	PUNCT
ap-5709	453	8	mineralogy	mineralogy	NOUN
ap-5709	453	9	and	and	CCONJ
ap-5709	453	10	water	water	NOUN
ap-5709	453	11	content	content	NOUN
ap-5709	453	12	on	on	ADP
ap-5709	453	13	the	the	DET
ap-5709	453	14	permeability	permeability	NOUN
ap-5709	453	15	of	of	ADP
ap-5709	453	16	structural	structural	ADJ
ap-5709	453	17	concrete	concrete	NOUN
ap-5709	453	18	.	.	PUNCT
ap-5709	454	1	constr	constr	NOUN
ap-5709	454	2	build	build	NOUN
ap-5709	454	3	mater	mater	NOUN
ap-5709	454	4	23(2):602–608	23(2):602–608	PROPN
ap-5709	454	5	,	,	PUNCT
ap-5709	454	6	2009	2009	NUM
ap-5709	454	7	.	.	PUNCT
ap-5709	455	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	455	2	/	/	SYM
ap-5709	455	3	j.conbuildmat.2008.04.009	j.conbuildmat.2008.04.009	PROPN
ap-5709	455	4	.	.	PUNCT
ap-5709	456	1	[	[	X
ap-5709	456	2	34	34	NUM
ap-5709	456	3	]	]	X
ap-5709	456	4	v.	v.	PROPN
ap-5709	456	5	baroghel	baroghel	PROPN
ap-5709	456	6	-	-	PUNCT
ap-5709	456	7	bouny	bouny	PROPN
ap-5709	456	8	,	,	PUNCT
ap-5709	456	9	m.	m.	NOUN
ap-5709	456	10	mainguy	mainguy	NOUN
ap-5709	456	11	,	,	PUNCT
ap-5709	456	12	t.	t.	PROPN
ap-5709	456	13	lassabatere	lassabatere	PROPN
ap-5709	456	14	,	,	PUNCT
ap-5709	456	15	o.	o.	PROPN
ap-5709	456	16	coussy	coussy	PROPN
ap-5709	456	17	.	.	PUNCT
ap-5709	457	1	characterization	characterization	NOUN
ap-5709	457	2	and	and	CCONJ
ap-5709	457	3	identification	identification	NOUN
ap-5709	457	4	of	of	ADP
ap-5709	457	5	equilibrium	equilibrium	NOUN
ap-5709	457	6	and	and	CCONJ
ap-5709	457	7	transfer	transfer	NOUN
ap-5709	457	8	moisture	moisture	NOUN
ap-5709	457	9	properties	property	NOUN
ap-5709	457	10	for	for	ADP
ap-5709	457	11	ordinary	ordinary	ADJ
ap-5709	457	12	and	and	CCONJ
ap-5709	457	13	high	high	ADJ
ap-5709	457	14	-	-	PUNCT
ap-5709	457	15	performance	performance	NOUN
ap-5709	457	16	cementitious	cementitious	ADJ
ap-5709	457	17	materials	material	NOUN
ap-5709	457	18	.	.	PUNCT
ap-5709	458	1	cement	cement	NOUN
ap-5709	458	2	concrete	concrete	NOUN
ap-5709	458	3	res	re	NOUN
ap-5709	458	4	29(8):1225–1238	29(8):1225–1238	NUM
ap-5709	458	5	,	,	PUNCT
ap-5709	458	6	1999	1999	NUM
ap-5709	458	7	.	.	PUNCT
ap-5709	459	1	doi:10.1016	doi:10.1016	PROPN
ap-5709	459	2	/	/	SYM
ap-5709	459	3	s0008	s0008	PROPN
ap-5709	459	4	-	-	PUNCT
ap-5709	459	5	8846(99)00102	8846(99)00102	NUM
ap-5709	459	6	-	-	PUNCT
ap-5709	459	7	7	7	NUM
ap-5709	459	8	.	.	PUNCT
ap-5709	460	1	[	[	X
ap-5709	460	2	35	35	NUM
ap-5709	460	3	]	]	X
ap-5709	460	4	c.	c.	PROPN
ap-5709	460	5	t.	t.	PROPN
ap-5709	460	6	davie	davie	PROPN
ap-5709	460	7	,	,	PUNCT
ap-5709	460	8	c.	c.	PROPN
ap-5709	460	9	j.	j.	PROPN
ap-5709	460	10	pearce	pearce	PROPN
ap-5709	460	11	,	,	PUNCT
ap-5709	460	12	n.	n.	PROPN
ap-5709	460	13	bićanić	bićanić	PROPN
ap-5709	460	14	.	.	PUNCT
ap-5709	461	1	coupled	couple	VERB
ap-5709	461	2	heat	heat	NOUN
ap-5709	461	3	and	and	CCONJ
ap-5709	461	4	moisture	moisture	NOUN
ap-5709	461	5	transport	transport	NOUN
ap-5709	461	6	in	in	ADP
ap-5709	461	7	concrete	concrete	NOUN
ap-5709	461	8	at	at	ADP
ap-5709	461	9	elevated	elevated	ADJ
ap-5709	461	10	temperatures	temperature	NOUN
ap-5709	461	11	–	–	PUNCT
ap-5709	461	12	effects	effect	NOUN
ap-5709	461	13	of	of	ADP
ap-5709	461	14	capillary	capillary	ADJ
ap-5709	461	15	pressure	pressure	NOUN
ap-5709	461	16	and	and	CCONJ
ap-5709	461	17	adsorbed	adsorb	VERB
ap-5709	461	18	water	water	NOUN
ap-5709	461	19	.	.	PUNCT
ap-5709	462	1	numer	numer	PROPN
ap-5709	462	2	heat	heat	PROPN
ap-5709	462	3	tr	tr	VERB
ap-5709	462	4	a	a	DET
ap-5709	462	5	-	-	PUNCT
ap-5709	462	6	appl	appl	NOUN
ap-5709	462	7	49(8):733–763	49(8):733–763	PROPN
ap-5709	462	8	,	,	PUNCT
ap-5709	462	9	2006	2006	NUM
ap-5709	462	10	.	.	PUNCT
ap-5709	463	1	doi:10.1080/10407780500503854	doi:10.1080/10407780500503854	X
ap-5709	463	2	.	.	PUNCT
ap-5709	464	1	24	24	NUM
ap-5709	464	2	http://dx.doi.org/10.1002/nme.3014	http://dx.doi.org/10.1002/nme.3014	X
ap-5709	464	3	http://dx.doi.org/10.1016/j.commatsci.2011.10.017	http://dx.doi.org/10.1016/j.commatsci.2011.10.017	PROPN
ap-5709	464	4	http://dx.doi.org/10.1002/zamm.201700158	http://dx.doi.org/10.1002/zamm.201700158	PROPN
ap-5709	464	5	http://dx.doi.org/10.1007/978-94-024-1138-6	http://dx.doi.org/10.1007/978-94-024-1138-6	PROPN
ap-5709	464	6	http://dx.doi.org/10.1016/j.conbuildmat.2008.04.009	http://dx.doi.org/10.1016/j.conbuildmat.2008.04.009	PROPN
ap-5709	464	7	http://dx.doi.org/10.1016/s0008-8846(99)00102-7	http://dx.doi.org/10.1016/s0008-8846(99)00102-7	PROPN
ap-5709	464	8	http://dx.doi.org/10.1080/10407780500503854	http://dx.doi.org/10.1080/10407780500503854	PROPN
ap-5709	464	9	acta	acta	PROPN
ap-5709	464	10	polytechnica	polytechnica	PROPN
ap-5709	464	11	60(1):12–24	60(1):12–24	NUM
ap-5709	464	12	,	,	PUNCT
ap-5709	464	13	2020	2020	NUM
ap-5709	464	14	1	1	NUM
ap-5709	464	15	introduction	introduction	NOUN
ap-5709	464	16	2	2	NUM
ap-5709	464	17	the	the	DET
ap-5709	464	18	mesoscale	mesoscale	ADJ
ap-5709	464	19	model	model	NOUN
ap-5709	464	20	3	3	NUM
ap-5709	464	21	the	the	DET
ap-5709	464	22	homogenized	homogenized	ADJ
ap-5709	464	23	problem	problem	NOUN
ap-5709	464	24	4	4	NUM
ap-5709	464	25	numerical	numerical	ADJ
ap-5709	464	26	solution	solution	NOUN
ap-5709	464	27	4.1	4.1	NUM
ap-5709	464	28	macroscopic	macroscopic	ADJ
ap-5709	464	29	fe	fe	NOUN
ap-5709	464	30	formulation	formulation	NOUN
ap-5709	464	31	4.2	4.2	NUM
ap-5709	464	32	periodic	periodic	ADJ
ap-5709	464	33	cell	cell	NOUN
ap-5709	464	34	problem	problem	NOUN
ap-5709	464	35	4.2.1	4.2.1	NUM
ap-5709	464	36	the	the	DET
ap-5709	464	37	classical	classical	ADJ
ap-5709	464	38	fe	fe	NOUN
ap-5709	464	39	method	method	NOUN
ap-5709	464	40	4.2.2	4.2.2	NUM
ap-5709	464	41	computation	computation	NOUN
ap-5709	464	42	of	of	ADP
ap-5709	464	43	the	the	DET
ap-5709	464	44	homogenized	homogenized	ADJ
ap-5709	464	45	coefficients	coefficient	NOUN
ap-5709	464	46	by	by	ADP
ap-5709	464	47	an	an	DET
ap-5709	464	48	analytical	analytical	ADJ
ap-5709	464	49	approximation	approximation	NOUN
ap-5709	464	50	5	5	NUM
ap-5709	464	51	numerical	numerical	ADJ
ap-5709	464	52	experiments	experiment	NOUN
ap-5709	464	53	5.1	5.1	NUM
ap-5709	464	54	convergence	convergence	NOUN
ap-5709	464	55	analysis	analysis	NOUN
ap-5709	464	56	–	–	PUNCT
ap-5709	464	57	layered	layered	ADJ
ap-5709	464	58	structure	structure	NOUN
ap-5709	464	59	5.2	5.2	NUM
ap-5709	464	60	illustrative	illustrative	ADJ
ap-5709	464	61	example	example	NOUN
ap-5709	464	62	–	–	PUNCT
ap-5709	464	63	concrete	concrete	ADJ
ap-5709	464	64	column	column	NOUN
ap-5709	464	65	cross	cross	NOUN
ap-5709	464	66	-	-	NOUN
ap-5709	464	67	section	section	ADJ
ap-5709	464	68	6	6	NUM
ap-5709	464	69	conclusions	conclusion	NOUN
ap-5709	464	70	7	7	NUM
ap-5709	464	71	appendix	appendix	NOUN
ap-5709	464	72	–	–	PUNCT
ap-5709	464	73	model	model	NOUN
ap-5709	464	74	parameters	parameter	NOUN
ap-5709	464	75	list	list	NOUN
ap-5709	464	76	of	of	ADP
ap-5709	464	77	symbols	symbol	NOUN
ap-5709	464	78	acknowledgements	acknowledgement	NOUN
ap-5709	464	79	references	reference	NOUN