id	sid	tid	token	lemma	pos
app01-10205	1	1	acta	acta	PROPN
app01-10205	1	2	polytechnica	polytechnica	PROPN
app01-10205	1	3	ctu	ctu	PROPN
app01-10205	1	4	proceedings	proceeding	NOUN
app01-10205	1	5	https://doi.org/10.14311/app.2024.49.0020	https://doi.org/10.14311/app.2024.49.0020	PROPN
app01-10205	1	6	acta	acta	PROPN
app01-10205	1	7	polytechnica	polytechnica	PROPN
app01-10205	1	8	ctu	ctu	NOUN
app01-10205	1	9	proceedings	proceeding	NOUN
app01-10205	1	10	49:20–25	49:20–25	NUM
app01-10205	1	11	,	,	PUNCT
app01-10205	1	12	2024	2024	NUM
app01-10205	1	13	©	©	ADP
app01-10205	1	14	2024	2024	NUM
app01-10205	1	15	the	the	DET
app01-10205	1	16	author(s	author(s	NOUN
app01-10205	1	17	)	)	PUNCT
app01-10205	1	18	.	.	PUNCT
app01-10205	2	1	licensed	license	VERB
app01-10205	2	2	under	under	ADP
app01-10205	2	3	a	a	DET
app01-10205	2	4	cc	cc	NOUN
app01-10205	2	5	-	-	PUNCT
app01-10205	2	6	by	by	ADP
app01-10205	2	7	4.0	4.0	NUM
app01-10205	2	8	licence	licence	NOUN
app01-10205	2	9	published	publish	VERB
app01-10205	2	10	by	by	ADP
app01-10205	2	11	the	the	DET
app01-10205	2	12	czech	czech	PROPN
app01-10205	2	13	technical	technical	PROPN
app01-10205	2	14	university	university	PROPN
app01-10205	2	15	in	in	ADP
app01-10205	2	16	prague	prague	PROPN
app01-10205	2	17	effect	effect	NOUN
app01-10205	2	18	of	of	ADP
app01-10205	2	19	geometry	geometry	NOUN
app01-10205	2	20	on	on	ADP
app01-10205	2	21	homogenised	homogenised	ADJ
app01-10205	2	22	properties	property	NOUN
app01-10205	2	23	of	of	ADP
app01-10205	2	24	selected	select	VERB
app01-10205	2	25	auxetic	auxetic	ADJ
app01-10205	2	26	metamaterials	metamaterial	NOUN
app01-10205	2	27	nataša	nataša	PROPN
app01-10205	2	28	jošková∗	jošková∗	PROPN
app01-10205	2	29	,	,	PUNCT
app01-10205	2	30	martin	martin	PROPN
app01-10205	2	31	doškář	doškář	PROPN
app01-10205	2	32	czech	czech	PROPN
app01-10205	2	33	technical	technical	PROPN
app01-10205	2	34	university	university	PROPN
app01-10205	2	35	in	in	ADP
app01-10205	2	36	prague	prague	PROPN
app01-10205	2	37	,	,	PUNCT
app01-10205	2	38	faculty	faculty	NOUN
app01-10205	2	39	of	of	ADP
app01-10205	2	40	civil	civil	ADJ
app01-10205	2	41	engineering	engineering	NOUN
app01-10205	2	42	,	,	PUNCT
app01-10205	2	43	department	department	NOUN
app01-10205	2	44	of	of	ADP
app01-10205	2	45	mechanics	mechanic	NOUN
app01-10205	2	46	,	,	PUNCT
app01-10205	2	47	thákurova	thákurova	X
app01-10205	2	48	7	7	NUM
app01-10205	2	49	,	,	PUNCT
app01-10205	2	50	166	166	NUM
app01-10205	2	51	29	29	NUM
app01-10205	2	52	prague	prague	NOUN
app01-10205	2	53	,	,	PUNCT
app01-10205	2	54	czech	czech	PROPN
app01-10205	2	55	republic	republic	NOUN
app01-10205	2	56	∗	∗	NOUN
app01-10205	2	57	corresponding	correspond	VERB
app01-10205	2	58	author	author	NOUN
app01-10205	2	59	:	:	PUNCT
app01-10205	2	60	joskonat@cvut.cz	joskonat@cvut.cz	PROPN
app01-10205	2	61	abstract	abstract	NOUN
app01-10205	2	62	.	.	PUNCT
app01-10205	3	1	our	our	PRON
app01-10205	3	2	study	study	NOUN
app01-10205	3	3	investigates	investigate	VERB
app01-10205	3	4	the	the	DET
app01-10205	3	5	influence	influence	NOUN
app01-10205	3	6	of	of	ADP
app01-10205	3	7	geometrical	geometrical	ADJ
app01-10205	3	8	parameters	parameter	NOUN
app01-10205	3	9	of	of	ADP
app01-10205	3	10	two	two	NUM
app01-10205	3	11	types	type	NOUN
app01-10205	3	12	of	of	ADP
app01-10205	3	13	auxetic	auxetic	ADJ
app01-10205	3	14	metamaterials	metamaterial	NOUN
app01-10205	3	15	on	on	ADP
app01-10205	3	16	their	their	PRON
app01-10205	3	17	effective	effective	ADJ
app01-10205	3	18	properties	property	NOUN
app01-10205	3	19	.	.	PUNCT
app01-10205	4	1	in	in	ADP
app01-10205	4	2	particular	particular	ADJ
app01-10205	4	3	,	,	PUNCT
app01-10205	4	4	we	we	PRON
app01-10205	4	5	focus	focus	VERB
app01-10205	4	6	on	on	ADP
app01-10205	4	7	three	three	NUM
app01-10205	4	8	-	-	PUNCT
app01-10205	4	9	dimensional	dimensional	ADJ
app01-10205	4	10	lattice	lattice	NOUN
app01-10205	4	11	structures	structure	NOUN
app01-10205	4	12	,	,	PUNCT
app01-10205	4	13	which	which	PRON
app01-10205	4	14	we	we	PRON
app01-10205	4	15	represent	represent	VERB
app01-10205	4	16	with	with	ADP
app01-10205	4	17	discrete	discrete	ADJ
app01-10205	4	18	beam	beam	NOUN
app01-10205	4	19	models	model	NOUN
app01-10205	4	20	of	of	ADP
app01-10205	4	21	their	their	PRON
app01-10205	4	22	respective	respective	ADJ
app01-10205	4	23	periodic	periodic	ADJ
app01-10205	4	24	unit	unit	NOUN
app01-10205	4	25	cells	cell	NOUN
app01-10205	4	26	(	(	PUNCT
app01-10205	4	27	pucs	pucs	NOUN
app01-10205	4	28	)	)	PUNCT
app01-10205	4	29	.	.	PUNCT
app01-10205	5	1	limiting	limit	VERB
app01-10205	5	2	the	the	DET
app01-10205	5	3	scope	scope	NOUN
app01-10205	5	4	of	of	ADP
app01-10205	5	5	the	the	DET
app01-10205	5	6	study	study	NOUN
app01-10205	5	7	to	to	ADP
app01-10205	5	8	linear	linear	PROPN
app01-10205	5	9	elasticity	elasticity	NOUN
app01-10205	5	10	,	,	PUNCT
app01-10205	5	11	we	we	PRON
app01-10205	5	12	compute	compute	VERB
app01-10205	5	13	the	the	DET
app01-10205	5	14	effective	effective	ADJ
app01-10205	5	15	response	response	NOUN
app01-10205	5	16	of	of	ADP
app01-10205	5	17	pucs	pucs	NOUN
app01-10205	5	18	by	by	ADP
app01-10205	5	19	plugging	plug	VERB
app01-10205	5	20	the	the	DET
app01-10205	5	21	kinematic	kinematic	ADJ
app01-10205	5	22	ansatz	ansatz	NOUN
app01-10205	5	23	of	of	ADP
app01-10205	5	24	the	the	DET
app01-10205	5	25	first	first	ADJ
app01-10205	5	26	-	-	PUNCT
app01-10205	5	27	order	order	NOUN
app01-10205	5	28	numerical	numerical	ADJ
app01-10205	5	29	homogenisation	homogenisation	NOUN
app01-10205	5	30	into	into	ADP
app01-10205	5	31	the	the	DET
app01-10205	5	32	strain	strain	NOUN
app01-10205	5	33	energy	energy	NOUN
app01-10205	5	34	expression	expression	NOUN
app01-10205	5	35	arising	arise	VERB
app01-10205	5	36	from	from	ADP
app01-10205	5	37	the	the	DET
app01-10205	5	38	direct	direct	ADJ
app01-10205	5	39	stiffness	stiffness	NOUN
app01-10205	5	40	method	method	NOUN
app01-10205	5	41	and	and	CCONJ
app01-10205	5	42	minimising	minimise	VERB
app01-10205	5	43	the	the	DET
app01-10205	5	44	energy	energy	NOUN
app01-10205	5	45	with	with	ADP
app01-10205	5	46	respect	respect	NOUN
app01-10205	5	47	to	to	ADP
app01-10205	5	48	the	the	DET
app01-10205	5	49	periodic	periodic	ADJ
app01-10205	5	50	fluctuation	fluctuation	NOUN
app01-10205	5	51	field	field	NOUN
app01-10205	5	52	.	.	PUNCT
app01-10205	6	1	the	the	DET
app01-10205	6	2	obtained	obtain	VERB
app01-10205	6	3	effective	effective	ADJ
app01-10205	6	4	stiffness	stiffness	ADJ
app01-10205	6	5	matrices	matrix	NOUN
app01-10205	6	6	are	be	AUX
app01-10205	6	7	post	post	ADJ
app01-10205	6	8	-	-	VERB
app01-10205	6	9	processed	process	VERB
app01-10205	6	10	to	to	PART
app01-10205	6	11	arrive	arrive	VERB
app01-10205	6	12	at	at	ADP
app01-10205	6	13	elastic	elastic	ADJ
app01-10205	6	14	parameters	parameter	NOUN
app01-10205	6	15	as	as	ADP
app01-10205	6	16	poisson	poisson	NOUN
app01-10205	6	17	’s	’s	PART
app01-10205	6	18	ratios	ratio	NOUN
app01-10205	6	19	coefficients	coefficient	NOUN
app01-10205	6	20	,	,	PUNCT
app01-10205	6	21	that	that	PRON
app01-10205	6	22	are	be	AUX
app01-10205	6	23	reported	report	VERB
app01-10205	6	24	in	in	ADP
app01-10205	6	25	different	different	ADJ
app01-10205	6	26	directions	direction	NOUN
app01-10205	6	27	with	with	ADP
app01-10205	6	28	respect	respect	NOUN
app01-10205	6	29	to	to	ADP
app01-10205	6	30	the	the	DET
app01-10205	6	31	key	key	ADJ
app01-10205	6	32	geometrical	geometrical	ADJ
app01-10205	6	33	parameters	parameter	NOUN
app01-10205	6	34	.	.	PUNCT
app01-10205	7	1	keywords	keyword	NOUN
app01-10205	7	2	:	:	PUNCT
app01-10205	7	3	auxetic	auxetic	ADJ
app01-10205	7	4	metamaterial	metamaterial	ADJ
app01-10205	7	5	,	,	PUNCT
app01-10205	7	6	first	first	ADJ
app01-10205	7	7	-	-	PUNCT
app01-10205	7	8	order	order	NOUN
app01-10205	7	9	homogenisation	homogenisation	NOUN
app01-10205	7	10	,	,	PUNCT
app01-10205	7	11	periodic	periodic	ADJ
app01-10205	7	12	unit	unit	NOUN
app01-10205	7	13	cell	cell	NOUN
app01-10205	7	14	,	,	PUNCT
app01-10205	7	15	effective	effective	ADJ
app01-10205	7	16	poisson	poisson	NOUN
app01-10205	7	17	’s	’s	PART
app01-10205	7	18	ratio	ratio	NOUN
app01-10205	7	19	.	.	PUNCT
app01-10205	8	1	1	1	X
app01-10205	8	2	.	.	X
app01-10205	8	3	introduction	introduction	NOUN
app01-10205	8	4	metamaterials	metamaterial	NOUN
app01-10205	8	5	are	be	AUX
app01-10205	8	6	artificial	artificial	ADJ
app01-10205	8	7	materials	material	NOUN
app01-10205	8	8	with	with	ADP
app01-10205	8	9	properties	property	NOUN
app01-10205	8	10	beyond	beyond	ADP
app01-10205	8	11	those	those	PRON
app01-10205	8	12	of	of	ADP
app01-10205	8	13	materials	material	NOUN
app01-10205	8	14	found	find	VERB
app01-10205	8	15	in	in	ADP
app01-10205	8	16	nature	nature	NOUN
app01-10205	8	17	.	.	PUNCT
app01-10205	9	1	these	these	DET
app01-10205	9	2	properties	property	NOUN
app01-10205	9	3	are	be	AUX
app01-10205	9	4	mainly	mainly	ADV
app01-10205	9	5	determined	determine	VERB
app01-10205	9	6	by	by	ADP
app01-10205	9	7	their	their	PRON
app01-10205	9	8	microstructure	microstructure	NOUN
app01-10205	9	9	rather	rather	ADV
app01-10205	9	10	than	than	ADP
app01-10205	9	11	by	by	ADP
app01-10205	9	12	the	the	DET
app01-10205	9	13	chemical	chemical	ADJ
app01-10205	9	14	or	or	CCONJ
app01-10205	9	15	physical	physical	ADJ
app01-10205	9	16	parameters	parameter	NOUN
app01-10205	9	17	of	of	ADP
app01-10205	9	18	the	the	DET
app01-10205	9	19	bulk	bulk	ADJ
app01-10205	9	20	constituents	constituent	NOUN
app01-10205	9	21	from	from	ADP
app01-10205	9	22	which	which	PRON
app01-10205	9	23	they	they	PRON
app01-10205	9	24	are	be	AUX
app01-10205	9	25	made	make	VERB
app01-10205	9	26	[	[	X
app01-10205	9	27	1	1	NUM
app01-10205	9	28	]	]	PUNCT
app01-10205	9	29	.	.	PUNCT
app01-10205	10	1	due	due	ADJ
app01-10205	10	2	to	to	ADP
app01-10205	10	3	technological	technological	ADJ
app01-10205	10	4	advances	advance	NOUN
app01-10205	10	5	in	in	ADP
app01-10205	10	6	recent	recent	ADJ
app01-10205	10	7	decades	decade	NOUN
app01-10205	10	8	,	,	PUNCT
app01-10205	10	9	complex	complex	ADJ
app01-10205	10	10	microstructures	microstructure	NOUN
app01-10205	10	11	of	of	ADP
app01-10205	10	12	these	these	DET
app01-10205	10	13	metamaterials	metamaterial	NOUN
app01-10205	10	14	can	can	AUX
app01-10205	10	15	be	be	AUX
app01-10205	10	16	produced	produce	VERB
app01-10205	10	17	by	by	ADP
app01-10205	10	18	manufacturing	manufacture	VERB
app01-10205	10	19	techniques	technique	NOUN
app01-10205	10	20	such	such	ADJ
app01-10205	10	21	as	as	ADP
app01-10205	10	22	3d	3d	NUM
app01-10205	10	23	and	and	CCONJ
app01-10205	10	24	even	even	ADV
app01-10205	10	25	4d	4d	NUM
app01-10205	10	26	printing	print	VERB
app01-10205	11	1	[	[	X
app01-10205	11	2	2	2	NUM
app01-10205	11	3	]	]	PUNCT
app01-10205	11	4	,	,	PUNCT
app01-10205	11	5	optical	optical	ADJ
app01-10205	11	6	lithography	lithography	NOUN
app01-10205	12	1	[	[	X
app01-10205	12	2	3	3	NUM
app01-10205	12	3	]	]	PUNCT
app01-10205	12	4	,	,	PUNCT
app01-10205	12	5	or	or	CCONJ
app01-10205	12	6	electrospinning	electrospinne	VERB
app01-10205	12	7	.	.	PUNCT
app01-10205	13	1	mathematical	mathematical	ADJ
app01-10205	13	2	modelling	modelling	NOUN
app01-10205	13	3	is	be	AUX
app01-10205	13	4	then	then	ADV
app01-10205	13	5	needed	need	VERB
app01-10205	13	6	for	for	ADP
app01-10205	13	7	efficient	efficient	ADJ
app01-10205	13	8	design	design	NOUN
app01-10205	13	9	of	of	ADP
app01-10205	13	10	metamaterials	metamaterial	NOUN
app01-10205	13	11	by	by	ADP
app01-10205	13	12	circumventing	circumvent	VERB
app01-10205	13	13	lenghty	lenghty	VERB
app01-10205	13	14	experimental	experimental	ADJ
app01-10205	13	15	search	search	NOUN
app01-10205	13	16	for	for	ADP
app01-10205	13	17	their	their	PRON
app01-10205	13	18	optimal	optimal	ADJ
app01-10205	13	19	design	design	NOUN
app01-10205	13	20	.	.	PUNCT
app01-10205	14	1	our	our	PRON
app01-10205	14	2	study	study	NOUN
app01-10205	14	3	of	of	ADP
app01-10205	14	4	the	the	DET
app01-10205	14	5	influence	influence	NOUN
app01-10205	14	6	of	of	ADP
app01-10205	14	7	geometry	geometry	NOUN
app01-10205	14	8	on	on	ADP
app01-10205	14	9	the	the	DET
app01-10205	14	10	effective	effective	ADJ
app01-10205	14	11	poisson	poisson	NOUN
app01-10205	14	12	’s	’s	PART
app01-10205	14	13	ratio	ratio	NOUN
app01-10205	14	14	focuses	focus	VERB
app01-10205	14	15	on	on	ADP
app01-10205	14	16	two	two	NUM
app01-10205	14	17	variants	variant	NOUN
app01-10205	14	18	of	of	ADP
app01-10205	14	19	a	a	DET
app01-10205	14	20	threedimensional	threedimensional	ADJ
app01-10205	14	21	auxetic	auxetic	ADJ
app01-10205	14	22	metamaterial	metamaterial	ADJ
app01-10205	14	23	(	(	PUNCT
app01-10205	14	24	cubic	cubic	ADJ
app01-10205	14	25	and	and	CCONJ
app01-10205	14	26	hexagonal	hexagonal	ADJ
app01-10205	14	27	)	)	PUNCT
app01-10205	14	28	proposed	propose	VERB
app01-10205	14	29	by	by	ADP
app01-10205	14	30	bückmann	bückmann	PROPN
app01-10205	14	31	et	et	PROPN
app01-10205	14	32	al	al	PROPN
app01-10205	14	33	.	.	PUNCT
app01-10205	15	1	[	[	X
app01-10205	15	2	3	3	X
app01-10205	15	3	]	]	PUNCT
app01-10205	15	4	and	and	CCONJ
app01-10205	15	5	shown	show	VERB
app01-10205	15	6	in	in	ADP
app01-10205	15	7	figure	figure	NOUN
app01-10205	15	8	1	1	NUM
app01-10205	15	9	.	.	PUNCT
app01-10205	16	1	both	both	DET
app01-10205	16	2	designs	design	NOUN
app01-10205	16	3	exhibit	exhibit	VERB
app01-10205	16	4	a	a	DET
app01-10205	16	5	periodic	periodic	ADJ
app01-10205	16	6	microstructure	microstructure	NOUN
app01-10205	16	7	allowing	allow	VERB
app01-10205	16	8	us	we	PRON
app01-10205	16	9	to	to	PART
app01-10205	16	10	investigate	investigate	VERB
app01-10205	16	11	only	only	ADV
app01-10205	16	12	the	the	DET
app01-10205	16	13	response	response	NOUN
app01-10205	16	14	of	of	ADP
app01-10205	16	15	a	a	DET
app01-10205	16	16	periodic	periodic	ADJ
app01-10205	16	17	unit	unit	NOUN
app01-10205	16	18	cell	cell	NOUN
app01-10205	16	19	(	(	PUNCT
app01-10205	16	20	puc	puc	PROPN
app01-10205	16	21	)	)	PUNCT
app01-10205	16	22	as	as	ADP
app01-10205	16	23	their	their	PRON
app01-10205	16	24	representative	representative	ADJ
app01-10205	16	25	volume	volume	NOUN
app01-10205	16	26	element	element	NOUN
app01-10205	16	27	(	(	PUNCT
app01-10205	16	28	rve	rve	PROPN
app01-10205	16	29	)	)	PUNCT
app01-10205	16	30	.	.	PUNCT
app01-10205	17	1	2	2	X
app01-10205	17	2	.	.	X
app01-10205	17	3	geometry	geometry	NOUN
app01-10205	17	4	of	of	ADP
app01-10205	17	5	investigated	investigate	VERB
app01-10205	17	6	metamaterial	metamaterial	NOUN
app01-10205	17	7	the	the	DET
app01-10205	17	8	microstructure	microstructure	NOUN
app01-10205	17	9	of	of	ADP
app01-10205	17	10	metamaterial	metamaterial	NOUN
app01-10205	17	11	is	be	AUX
app01-10205	17	12	composed	compose	VERB
app01-10205	17	13	of	of	ADP
app01-10205	17	14	arranged	arrange	VERB
app01-10205	17	15	bow	bow	NOUN
app01-10205	17	16	-	-	PUNCT
app01-10205	17	17	tie	tie	NOUN
app01-10205	17	18	structures	structure	NOUN
app01-10205	17	19	,	,	PUNCT
app01-10205	17	20	the	the	DET
app01-10205	17	21	geometry	geometry	NOUN
app01-10205	17	22	of	of	ADP
app01-10205	17	23	which	which	PRON
app01-10205	17	24	is	be	AUX
app01-10205	17	25	controlled	control	VERB
app01-10205	17	26	by	by	ADP
app01-10205	17	27	the	the	DET
app01-10205	17	28	angle	angle	NOUN
app01-10205	17	29	δ	δ	PROPN
app01-10205	17	30	located	locate	VERB
app01-10205	17	31	between	between	ADP
app01-10205	17	32	the	the	DET
app01-10205	17	33	diagonal	diagonal	ADJ
app01-10205	17	34	beam	beam	NOUN
app01-10205	17	35	of	of	ADP
app01-10205	17	36	the	the	DET
app01-10205	17	37	central	central	ADJ
app01-10205	17	38	bow	bow	NOUN
app01-10205	17	39	-	-	PUNCT
app01-10205	17	40	tie	tie	NOUN
app01-10205	17	41	structure	structure	NOUN
app01-10205	17	42	in	in	ADP
app01-10205	17	43	the	the	DET
app01-10205	17	44	upper	upper	ADJ
app01-10205	17	45	left	left	NOUN
app01-10205	17	46	quadrant	quadrant	NOUN
app01-10205	17	47	and	and	CCONJ
app01-10205	17	48	the	the	DET
app01-10205	17	49	yz	yz	PROPN
app01-10205	17	50	plane	plane	NOUN
app01-10205	17	51	passing	pass	VERB
app01-10205	17	52	through	through	ADP
app01-10205	17	53	its	its	PRON
app01-10205	17	54	initial	initial	ADJ
app01-10205	17	55	node	node	NOUN
app01-10205	17	56	,	,	PUNCT
app01-10205	17	57	see	see	VERB
app01-10205	17	58	insets	inset	NOUN
app01-10205	17	59	on	on	ADP
app01-10205	17	60	the	the	DET
app01-10205	17	61	right	right	ADJ
app01-10205	17	62	-	-	PUNCT
app01-10205	17	63	hand	hand	NOUN
app01-10205	17	64	side	side	NOUN
app01-10205	17	65	in	in	ADP
app01-10205	17	66	figure	figure	NOUN
app01-10205	17	67	2	2	NUM
app01-10205	17	68	.	.	PUNCT
app01-10205	18	1	the	the	DET
app01-10205	18	2	3d	3d	PROPN
app01-10205	18	3	metamaterial	metamaterial	NOUN
app01-10205	18	4	is	be	AUX
app01-10205	18	5	created	create	VERB
app01-10205	18	6	by	by	ADP
app01-10205	18	7	rotating	rotate	VERB
app01-10205	18	8	the	the	DET
app01-10205	18	9	central	central	ADJ
app01-10205	18	10	bow	bow	NOUN
app01-10205	18	11	-	-	PUNCT
app01-10205	18	12	tie	tie	NOUN
app01-10205	18	13	structure	structure	NOUN
app01-10205	18	14	located	locate	VERB
app01-10205	18	15	in	in	ADP
app01-10205	18	16	the	the	DET
app01-10205	18	17	xz	xz	PROPN
app01-10205	18	18	plane	plane	NOUN
app01-10205	18	19	around	around	ADP
app01-10205	18	20	its	its	PRON
app01-10205	18	21	vertical	vertical	ADJ
app01-10205	18	22	centre	centre	NOUN
app01-10205	18	23	beams	beam	NOUN
app01-10205	18	24	,	,	PUNCT
app01-10205	18	25	as	as	SCONJ
app01-10205	18	26	shown	show	VERB
app01-10205	18	27	in	in	ADP
app01-10205	18	28	figure	figure	NOUN
app01-10205	18	29	2	2	NUM
app01-10205	18	30	.	.	PUNCT
app01-10205	19	1	the	the	DET
app01-10205	19	2	cubic	cubic	ADJ
app01-10205	19	3	microstructure	microstructure	NOUN
app01-10205	19	4	is	be	AUX
app01-10205	19	5	obtained	obtain	VERB
app01-10205	19	6	by	by	ADP
app01-10205	19	7	rotation	rotation	NOUN
app01-10205	19	8	by	by	ADP
app01-10205	19	9	90	90	NUM
app01-10205	19	10	°	°	NOUN
app01-10205	19	11	,	,	PUNCT
app01-10205	19	12	from	from	ADP
app01-10205	19	13	(	(	PUNCT
app01-10205	19	14	a	a	NOUN
app01-10205	19	15	)	)	PUNCT
app01-10205	19	16	.	.	PUNCT
app01-10205	20	1	cubic	cubic	ADJ
app01-10205	20	2	variant	variant	NOUN
app01-10205	20	3	.	.	PUNCT
app01-10205	21	1	(	(	PUNCT
app01-10205	21	2	b	b	NOUN
app01-10205	21	3	)	)	PUNCT
app01-10205	21	4	.	.	PUNCT
app01-10205	22	1	hexagonal	hexagonal	ADJ
app01-10205	22	2	variant	variant	NOUN
app01-10205	22	3	.	.	PUNCT
app01-10205	23	1	figure	figure	NOUN
app01-10205	23	2	1	1	NUM
app01-10205	23	3	.	.	X
app01-10205	24	1	two	two	NUM
app01-10205	24	2	investigated	investigate	VERB
app01-10205	24	3	auxetic	auxetic	ADJ
app01-10205	24	4	metamaterials	metamaterial	NOUN
app01-10205	24	5	.	.	PUNCT
app01-10205	25	1	insets	inset	NOUN
app01-10205	25	2	on	on	ADP
app01-10205	25	3	the	the	DET
app01-10205	25	4	right	right	ADJ
app01-10205	25	5	-	-	PUNCT
app01-10205	25	6	hand	hand	NOUN
app01-10205	25	7	side	side	NOUN
app01-10205	25	8	show	show	VERB
app01-10205	25	9	a	a	DET
app01-10205	25	10	top	top	ADJ
app01-10205	25	11	view	view	NOUN
app01-10205	25	12	of	of	ADP
app01-10205	25	13	the	the	DET
app01-10205	25	14	microstructures	microstructure	NOUN
app01-10205	25	15	.	.	PUNCT
app01-10205	26	1	20	20	NUM
app01-10205	26	2	https://doi.org/10.14311/app.2024.49.0020	https://doi.org/10.14311/app.2024.49.0020	NOUN
app01-10205	26	3	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
app01-10205	26	4	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
app01-10205	26	5	vol	vol	NOUN
app01-10205	26	6	.	.	PUNCT
app01-10205	27	1	49/2024	49/2024	NUM
app01-10205	27	2	effect	effect	NOUN
app01-10205	27	3	of	of	ADP
app01-10205	27	4	geometry	geometry	NOUN
app01-10205	27	5	on	on	ADP
app01-10205	27	6	homogenised	homogenised	ADJ
app01-10205	27	7	properties	property	NOUN
app01-10205	27	8	of	of	ADP
app01-10205	27	9	auxetic	auxetic	ADJ
app01-10205	27	10	metamaterial	metamaterial	NOUN
app01-10205	27	11	(	(	PUNCT
app01-10205	27	12	a	a	NOUN
app01-10205	27	13	)	)	PUNCT
app01-10205	27	14	.	.	PUNCT
app01-10205	28	1	cubic	cubic	ADJ
app01-10205	28	2	microstructure	microstructure	NOUN
app01-10205	28	3	.	.	PUNCT
app01-10205	29	1	(	(	PUNCT
app01-10205	29	2	b	b	NOUN
app01-10205	29	3	)	)	PUNCT
app01-10205	29	4	.	.	PUNCT
app01-10205	30	1	hexagonal	hexagonal	ADJ
app01-10205	30	2	prismatic	prismatic	ADJ
app01-10205	30	3	microstructure	microstructure	NOUN
app01-10205	30	4	.	.	PUNCT
app01-10205	31	1	figure	figure	NOUN
app01-10205	31	2	2	2	NUM
app01-10205	31	3	.	.	NOUN
app01-10205	31	4	periodic	periodic	ADJ
app01-10205	31	5	unit	unit	NOUN
app01-10205	31	6	cell	cell	NOUN
app01-10205	31	7	of	of	ADP
app01-10205	31	8	cubic	cubic	ADJ
app01-10205	31	9	and	and	CCONJ
app01-10205	31	10	regular	regular	ADJ
app01-10205	31	11	hexagonal	hexagonal	ADJ
app01-10205	31	12	prismatic	prismatic	ADJ
app01-10205	31	13	microstructure	microstructure	NOUN
app01-10205	31	14	along	along	ADP
app01-10205	31	15	with	with	ADP
app01-10205	31	16	their	their	PRON
app01-10205	31	17	corresponding	correspond	VERB
app01-10205	31	18	side	side	NOUN
app01-10205	31	19	view	view	NOUN
app01-10205	31	20	including	include	VERB
app01-10205	31	21	angle	angle	PROPN
app01-10205	31	22	δ	δ	PROPN
app01-10205	31	23	,	,	PUNCT
app01-10205	31	24	which	which	PRON
app01-10205	31	25	controls	control	VERB
app01-10205	31	26	the	the	DET
app01-10205	31	27	geometry	geometry	NOUN
app01-10205	31	28	of	of	ADP
app01-10205	31	29	the	the	DET
app01-10205	31	30	metamaterial	metamaterial	NOUN
app01-10205	31	31	.	.	PUNCT
app01-10205	32	1	which	which	PRON
app01-10205	32	2	the	the	DET
app01-10205	32	3	central	central	ADJ
app01-10205	32	4	structure	structure	NOUN
app01-10205	32	5	is	be	AUX
app01-10205	32	6	formed	form	VERB
app01-10205	32	7	(	(	PUNCT
app01-10205	32	8	dark	dark	ADJ
app01-10205	32	9	blue	blue	NOUN
app01-10205	32	10	)	)	PUNCT
app01-10205	32	11	.	.	PUNCT
app01-10205	33	1	this	this	DET
app01-10205	33	2	central	central	ADJ
app01-10205	33	3	structure	structure	NOUN
app01-10205	33	4	is	be	AUX
app01-10205	33	5	complemented	complement	VERB
app01-10205	33	6	by	by	ADP
app01-10205	33	7	a	a	DET
app01-10205	33	8	similar	similar	ADJ
app01-10205	33	9	one	one	NUM
app01-10205	33	10	(	(	PUNCT
app01-10205	33	11	cyan	cyan	NOUN
app01-10205	33	12	)	)	PUNCT
app01-10205	33	13	shifted	shift	VERB
app01-10205	33	14	by	by	ADP
app01-10205	33	15	half	half	DET
app01-10205	33	16	a	a	DET
app01-10205	33	17	period	period	NOUN
app01-10205	33	18	in	in	ADP
app01-10205	33	19	yz	yz	PROPN
app01-10205	33	20	plane	plane	NOUN
app01-10205	33	21	.	.	PUNCT
app01-10205	34	1	to	to	PART
app01-10205	34	2	create	create	VERB
app01-10205	34	3	the	the	DET
app01-10205	34	4	puc	puc	NOUN
app01-10205	34	5	of	of	ADP
app01-10205	34	6	regular	regular	ADJ
app01-10205	34	7	hexagonal	hexagonal	ADJ
app01-10205	34	8	prism	prism	NOUN
app01-10205	34	9	with	with	ADP
app01-10205	34	10	equal	equal	ADJ
app01-10205	34	11	height	height	NOUN
app01-10205	34	12	and	and	CCONJ
app01-10205	34	13	long	long	ADJ
app01-10205	34	14	base	base	NOUN
app01-10205	34	15	diagonal	diagonal	ADJ
app01-10205	34	16	length	length	NOUN
app01-10205	34	17	,	,	PUNCT
app01-10205	34	18	we	we	PRON
app01-10205	34	19	perform	perform	VERB
app01-10205	34	20	60	60	NUM
app01-10205	34	21	°	°	NUM
app01-10205	34	22	and	and	CCONJ
app01-10205	34	23	120	120	NUM
app01-10205	34	24	°	°	NOUN
app01-10205	34	25	rotations	rotation	NOUN
app01-10205	34	26	of	of	ADP
app01-10205	34	27	the	the	DET
app01-10205	34	28	bow	bow	NOUN
app01-10205	34	29	-	-	PUNCT
app01-10205	34	30	tie	tie	NOUN
app01-10205	34	31	structure	structure	NOUN
app01-10205	34	32	(	(	PUNCT
app01-10205	34	33	purple	purple	ADJ
app01-10205	34	34	)	)	PUNCT
app01-10205	34	35	.	.	PUNCT
app01-10205	35	1	the	the	DET
app01-10205	35	2	height	height	NOUN
app01-10205	35	3	h	h	NOUN
app01-10205	35	4	of	of	ADP
app01-10205	35	5	both	both	DET
app01-10205	35	6	pucs	pucs	NOUN
app01-10205	35	7	will	will	AUX
app01-10205	35	8	be	be	AUX
app01-10205	35	9	considered	consider	VERB
app01-10205	35	10	as	as	ADP
app01-10205	35	11	a	a	DET
app01-10205	35	12	single	single	ADJ
app01-10205	35	13	unit	unit	NOUN
app01-10205	35	14	height	height	NOUN
app01-10205	35	15	.	.	PUNCT
app01-10205	36	1	here	here	ADV
app01-10205	36	2	,	,	PUNCT
app01-10205	36	3	we	we	PRON
app01-10205	36	4	model	model	VERB
app01-10205	36	5	puc	puc	PROPN
app01-10205	36	6	with	with	ADP
app01-10205	36	7	discrete	discrete	ADJ
app01-10205	36	8	beams	beam	NOUN
app01-10205	36	9	;	;	PUNCT
app01-10205	36	10	we	we	PRON
app01-10205	36	11	know	know	VERB
app01-10205	36	12	the	the	DET
app01-10205	36	13	position	position	NOUN
app01-10205	36	14	of	of	ADP
app01-10205	36	15	each	each	DET
app01-10205	36	16	node	node	NOUN
app01-10205	36	17	and	and	CCONJ
app01-10205	36	18	the	the	DET
app01-10205	36	19	orientation	orientation	NOUN
app01-10205	36	20	of	of	ADP
app01-10205	36	21	the	the	DET
app01-10205	36	22	beams	beam	NOUN
app01-10205	36	23	that	that	PRON
app01-10205	36	24	connect	connect	VERB
app01-10205	36	25	them	they	PRON
app01-10205	36	26	.	.	PUNCT
app01-10205	37	1	for	for	ADP
app01-10205	37	2	this	this	DET
app01-10205	37	3	study	study	NOUN
app01-10205	37	4	,	,	PUNCT
app01-10205	37	5	we	we	PRON
app01-10205	37	6	assume	assume	VERB
app01-10205	37	7	a	a	DET
app01-10205	37	8	circular	circular	ADJ
app01-10205	37	9	beam	beam	NOUN
app01-10205	37	10	cross	cross	NOUN
app01-10205	37	11	-	-	NOUN
app01-10205	37	12	section	section	NOUN
app01-10205	37	13	with	with	ADP
app01-10205	37	14	diameter	diameter	NOUN
app01-10205	37	15	d	d	NOUN
app01-10205	37	16	=	=	SYM
app01-10205	37	17	0.1h	0.1h	PROPN
app01-10205	37	18	.	.	PUNCT
app01-10205	38	1	consequently	consequently	ADV
app01-10205	38	2	,	,	PUNCT
app01-10205	38	3	cross	cross	ADJ
app01-10205	38	4	-	-	ADJ
app01-10205	38	5	sectional	sectional	ADJ
app01-10205	38	6	characteristics	characteristic	NOUN
app01-10205	38	7	follow	follow	VERB
app01-10205	38	8	as	as	ADP
app01-10205	38	9	:	:	PUNCT
app01-10205	38	10	a	a	DET
app01-10205	38	11	=	=	SYM
app01-10205	38	12	π	π	SYM
app01-10205	38	13	4	4	NUM
app01-10205	38	14	·	·	PUNCT
app01-10205	38	15	d2	d2	PROPN
app01-10205	38	16	,	,	PUNCT
app01-10205	38	17	i	i	PRON
app01-10205	38	18	=	=	NOUN
app01-10205	39	1	π	π	PROPN
app01-10205	39	2	64	64	NUM
app01-10205	39	3	·	·	PUNCT
app01-10205	39	4	d4	d4	PROPN
app01-10205	39	5	,	,	PUNCT
app01-10205	39	6	j	j	X
app01-10205	40	1	=	=	SYM
app01-10205	40	2	2i	2i	NUM
app01-10205	40	3	=	=	PUNCT
app01-10205	41	1	π	π	X
app01-10205	41	2	32	32	NUM
app01-10205	41	3	·	·	PUNCT
app01-10205	41	4	d4	d4	PROPN
app01-10205	41	5	,	,	PUNCT
app01-10205	41	6	(	(	PUNCT
app01-10205	41	7	1	1	X
app01-10205	41	8	)	)	PUNCT
app01-10205	41	9	where	where	SCONJ
app01-10205	41	10	a	a	PRON
app01-10205	41	11	is	be	AUX
app01-10205	41	12	the	the	DET
app01-10205	41	13	cross	cross	ADJ
app01-10205	41	14	-	-	ADJ
app01-10205	41	15	section	section	ADJ
app01-10205	41	16	area	area	NOUN
app01-10205	41	17	,	,	PUNCT
app01-10205	41	18	i	i	PRON
app01-10205	41	19	is	be	AUX
app01-10205	41	20	the	the	DET
app01-10205	41	21	second	second	ADJ
app01-10205	41	22	moment	moment	NOUN
app01-10205	41	23	of	of	ADP
app01-10205	41	24	inertia	inertia	NOUN
app01-10205	41	25	,	,	PUNCT
app01-10205	41	26	and	and	CCONJ
app01-10205	41	27	j	j	PROPN
app01-10205	41	28	is	be	AUX
app01-10205	41	29	the	the	DET
app01-10205	41	30	polar	polar	ADJ
app01-10205	41	31	moment	moment	NOUN
app01-10205	41	32	of	of	ADP
app01-10205	41	33	inertia	inertia	NOUN
app01-10205	41	34	.	.	PUNCT
app01-10205	42	1	the	the	DET
app01-10205	42	2	volume	volume	NOUN
app01-10205	42	3	of	of	ADP
app01-10205	42	4	puc	puc	PROPN
app01-10205	42	5	is	be	AUX
app01-10205	42	6	for	for	ADP
app01-10205	42	7	the	the	DET
app01-10205	42	8	cubic	cubic	ADJ
app01-10205	42	9	variant	variant	NOUN
app01-10205	42	10	vc	vc	PROPN
app01-10205	42	11	=	=	SYM
app01-10205	42	12	h3	h3	NOUN
app01-10205	42	13	and	and	CCONJ
app01-10205	42	14	vh	vh	NUM
app01-10205	42	15	=	=	SYM
app01-10205	42	16	3	3	NUM
app01-10205	42	17	√	√	NUM
app01-10205	42	18	3	3	NUM
app01-10205	42	19	8	8	NUM
app01-10205	42	20	·	·	PUNCT
app01-10205	42	21	h3	h3	NOUN
app01-10205	42	22	for	for	ADP
app01-10205	42	23	the	the	DET
app01-10205	42	24	hexagonal	hexagonal	ADJ
app01-10205	42	25	one	one	NUM
app01-10205	42	26	.	.	PUNCT
app01-10205	43	1	3	3	X
app01-10205	43	2	.	.	X
app01-10205	43	3	direct	direct	ADJ
app01-10205	43	4	stiffness	stiffness	NOUN
app01-10205	43	5	method	method	NOUN
app01-10205	43	6	to	to	PART
app01-10205	43	7	compute	compute	VERB
app01-10205	43	8	a	a	DET
app01-10205	43	9	mechanical	mechanical	ADJ
app01-10205	43	10	response	response	NOUN
app01-10205	43	11	of	of	ADP
app01-10205	43	12	the	the	DET
app01-10205	43	13	puc	puc	NOUN
app01-10205	43	14	model	model	NOUN
app01-10205	43	15	,	,	PUNCT
app01-10205	43	16	we	we	PRON
app01-10205	43	17	use	use	VERB
app01-10205	43	18	a	a	DET
app01-10205	43	19	linear	linear	ADJ
app01-10205	43	20	discrete	discrete	ADJ
app01-10205	43	21	beam	beam	NOUN
app01-10205	43	22	model	model	NOUN
app01-10205	43	23	that	that	PRON
app01-10205	43	24	can	can	AUX
app01-10205	43	25	be	be	AUX
app01-10205	43	26	described	describe	VERB
app01-10205	43	27	by	by	ADP
app01-10205	43	28	a	a	DET
app01-10205	43	29	linear	linear	PROPN
app01-10205	43	30	relation	relation	NOUN
app01-10205	43	31	:	:	PUNCT
app01-10205	43	32	f	f	PROPN
app01-10205	43	33	=	=	SYM
app01-10205	43	34	ku	ku	PROPN
app01-10205	43	35	,	,	PUNCT
app01-10205	43	36	(	(	PUNCT
app01-10205	43	37	2	2	X
app01-10205	43	38	)	)	PUNCT
app01-10205	43	39	where	where	SCONJ
app01-10205	43	40	the	the	DET
app01-10205	43	41	vector	vector	NOUN
app01-10205	43	42	f	f	PROPN
app01-10205	43	43	contains	contain	VERB
app01-10205	43	44	the	the	DET
app01-10205	43	45	forces	force	NOUN
app01-10205	43	46	and	and	CCONJ
app01-10205	43	47	moments	moment	NOUN
app01-10205	43	48	applied	apply	VERB
app01-10205	43	49	on	on	ADP
app01-10205	43	50	all	all	DET
app01-10205	43	51	nodes	node	NOUN
app01-10205	43	52	,	,	PUNCT
app01-10205	43	53	k	k	PROPN
app01-10205	43	54	is	be	AUX
app01-10205	43	55	the	the	DET
app01-10205	43	56	stiffness	stiffness	ADJ
app01-10205	43	57	matrix	matrix	NOUN
app01-10205	43	58	–	–	PUNCT
app01-10205	43	59	assembled	assemble	VERB
app01-10205	43	60	from	from	ADP
app01-10205	43	61	individual	individual	ADJ
app01-10205	43	62	submatrices	submatrice	NOUN
app01-10205	43	63	ki	ki	PROPN
app01-10205	43	64	for	for	ADP
app01-10205	43	65	each	each	DET
app01-10205	43	66	beam	beam	NOUN
app01-10205	43	67	–	–	PUNCT
app01-10205	43	68	and	and	CCONJ
app01-10205	43	69	u	u	NOUN
app01-10205	43	70	is	be	AUX
app01-10205	43	71	the	the	DET
app01-10205	43	72	displacement	displacement	ADJ
app01-10205	43	73	vector	vector	NOUN
app01-10205	43	74	that	that	PRON
app01-10205	43	75	successively	successively	ADV
app01-10205	43	76	contains	contain	VERB
app01-10205	43	77	subvectors	subvector	NOUN
app01-10205	43	78	of	of	ADP
app01-10205	43	79	displacements	displacement	NOUN
app01-10205	43	80	ui	ui	PROPN
app01-10205	43	81	,	,	PUNCT
app01-10205	43	82	vi	vi	PROPN
app01-10205	43	83	,	,	PUNCT
app01-10205	43	84	wi	wi	PROPN
app01-10205	43	85	and	and	CCONJ
app01-10205	43	86	rotations	rotation	NOUN
app01-10205	43	87	φx	φx	VERB
app01-10205	43	88	,	,	PUNCT
app01-10205	43	89	i	i	PRON
app01-10205	43	90	,	,	PUNCT
app01-10205	43	91	φy	φy	PROPN
app01-10205	43	92	,	,	PUNCT
app01-10205	43	93	i	i	PRON
app01-10205	43	94	,	,	PUNCT
app01-10205	43	95	φz	φz	PROPN
app01-10205	43	96	,	,	PUNCT
app01-10205	43	97	i	i	PRON
app01-10205	43	98	of	of	ADP
app01-10205	43	99	individual	individual	ADJ
app01-10205	43	100	nodes	node	NOUN
app01-10205	43	101	i.	i.	PROPN
app01-10205	43	102	3.1	3.1	NUM
app01-10205	43	103	.	.	PUNCT
app01-10205	44	1	local	local	ADJ
app01-10205	44	2	stiffness	stiffness	NOUN
app01-10205	44	3	matrix	matrix	NOUN
app01-10205	44	4	the	the	DET
app01-10205	44	5	local	local	ADJ
app01-10205	44	6	stiffness	stiffness	NOUN
app01-10205	44	7	matrix	matrix	NOUN
app01-10205	44	8	kl	kl	VERB
app01-10205	44	9	i	i	PRON
app01-10205	44	10	for	for	ADP
app01-10205	44	11	the	the	DET
app01-10205	44	12	ith	ith	PROPN
app01-10205	44	13	beam	beam	NOUN
app01-10205	44	14	follows	follow	VERB
app01-10205	44	15	from	from	ADP
app01-10205	44	16	the	the	DET
app01-10205	44	17	bernoulli	bernoulli	PROPN
app01-10205	44	18	-	-	PUNCT
app01-10205	44	19	euler	euler	NOUN
app01-10205	44	20	beam	beam	PROPN
app01-10205	44	21	theory	theory	NOUN
app01-10205	44	22	[	[	X
app01-10205	44	23	4	4	NUM
app01-10205	44	24	,	,	PUNCT
app01-10205	44	25	5	5	NUM
app01-10205	44	26	]	]	PUNCT
app01-10205	44	27	and	and	CCONJ
app01-10205	44	28	has	have	VERB
app01-10205	44	29	size	size	NOUN
app01-10205	44	30	12	12	NUM
app01-10205	44	31	×	×	NOUN
app01-10205	44	32	12	12	NUM
app01-10205	44	33	,	,	PUNCT
app01-10205	44	34	due	due	ADP
app01-10205	44	35	to	to	ADP
app01-10205	44	36	the	the	DET
app01-10205	44	37	6	6	NUM
app01-10205	44	38	unknowns	unknown	NOUN
app01-10205	44	39	located	locate	VERB
app01-10205	44	40	at	at	ADP
app01-10205	44	41	the	the	DET
app01-10205	44	42	beginning	beginning	NOUN
app01-10205	44	43	(	(	PUNCT
app01-10205	44	44	index	index	NOUN
app01-10205	44	45	b	b	NOUN
app01-10205	44	46	)	)	PUNCT
app01-10205	44	47	and	and	CCONJ
app01-10205	44	48	the	the	DET
app01-10205	44	49	end	end	NOUN
app01-10205	44	50	(	(	PUNCT
app01-10205	44	51	index	index	NOUN
app01-10205	44	52	e	e	NOUN
app01-10205	44	53	)	)	PUNCT
app01-10205	44	54	node	node	NOUN
app01-10205	44	55	of	of	ADP
app01-10205	44	56	the	the	DET
app01-10205	44	57	beam	beam	NOUN
app01-10205	44	58	.	.	PUNCT
app01-10205	45	1	individual	individual	ADJ
app01-10205	45	2	parts	part	NOUN
app01-10205	45	3	that	that	PRON
app01-10205	45	4	contribute	contribute	VERB
app01-10205	45	5	to	to	ADP
app01-10205	45	6	the	the	DET
app01-10205	45	7	stiffness	stiffness	ADJ
app01-10205	45	8	matrix	matrix	NOUN
app01-10205	45	9	can	can	AUX
app01-10205	45	10	be	be	AUX
app01-10205	45	11	divided	divide	VERB
app01-10205	45	12	into	into	ADP
app01-10205	45	13	4	4	NUM
app01-10205	45	14	submatrices	submatrice	NOUN
app01-10205	45	15	pertinent	pertinent	ADJ
app01-10205	45	16	to	to	ADP
app01-10205	45	17	:	:	PUNCT
app01-10205	45	18	(	(	PUNCT
app01-10205	45	19	1	1	X
app01-10205	45	20	)	)	PUNCT
app01-10205	45	21	membrane	membrane	NOUN
app01-10205	45	22	behaviour	behaviour	NOUN
app01-10205	45	23	:	:	PUNCT
app01-10205	45	24	[	[	PUNCT
app01-10205	45	25	x	x	PUNCT
app01-10205	45	26	l	l	NOUN
app01-10205	45	27	b	b	X
app01-10205	45	28	x	x	X
app01-10205	45	29	l	l	NOUN
app01-10205	45	30	e	e	NOUN
app01-10205	45	31	]	]	PUNCT
app01-10205	45	32	=	=	SYM
app01-10205	45	33	ea	ea	NUM
app01-10205	45	34	li	li	X
app01-10205	45	35	[	[	PUNCT
app01-10205	45	36	1	1	NUM
app01-10205	45	37	−1	−1	NOUN
app01-10205	45	38	−1	−1	NOUN
app01-10205	45	39	1	1	NUM
app01-10205	45	40	]	]	PUNCT
app01-10205	46	1	[	[	PUNCT
app01-10205	46	2	ul	ul	INTJ
app01-10205	46	3	b	b	X
app01-10205	46	4	ul	ul	INTJ
app01-10205	46	5	e	e	X
app01-10205	46	6	]	]	PUNCT
app01-10205	46	7	,	,	PUNCT
app01-10205	46	8	(	(	PUNCT
app01-10205	46	9	3	3	X
app01-10205	46	10	)	)	PUNCT
app01-10205	46	11	(	(	PUNCT
app01-10205	46	12	2	2	X
app01-10205	46	13	)	)	PUNCT
app01-10205	46	14	bending	bend	VERB
app01-10205	46	15	in	in	ADP
app01-10205	46	16	xy	xy	PROPN
app01-10205	46	17	plane	plane	NOUN
app01-10205	46	18	:	:	PUNCT
app01-10205	46	19			NOUN
app01-10205	46	20	y	y	PROPN
app01-10205	46	21	l	l	PROPN
app01-10205	46	22	b	b	PROPN
app01-10205	46	23	m	m	VERB
app01-10205	46	24	l	l	NOUN
app01-10205	46	25	z	z	NOUN
app01-10205	46	26	,	,	PUNCT
app01-10205	46	27	b	b	PROPN
app01-10205	46	28	y	y	PROPN
app01-10205	46	29	l	l	NOUN
app01-10205	46	30	e	e	NOUN
app01-10205	46	31	m	m	PROPN
app01-10205	46	32	l	l	NOUN
app01-10205	46	33	z	z	NOUN
app01-10205	46	34	,	,	PUNCT
app01-10205	46	35	e	e	NOUN
app01-10205	46	36			NOUN
app01-10205	46	37	=	=	SYM
app01-10205	46	38	2eiz	2eiz	NUM
app01-10205	46	39	li	li	NOUN
app01-10205	46	40			VERB
app01-10205	46	41	6	6	NUM
app01-10205	46	42	l2	l2	NOUN
app01-10205	46	43	i	i	VERB
app01-10205	46	44	3	3	NUM
app01-10205	46	45	li	li	NOUN
app01-10205	46	46	−	−	PROPN
app01-10205	46	47	6	6	NUM
app01-10205	46	48	l2	l2	NOUN
app01-10205	46	49	i	i	VERB
app01-10205	46	50	3	3	NUM
app01-10205	46	51	li	li	NOUN
app01-10205	46	52	3	3	NUM
app01-10205	46	53	li	li	NOUN
app01-10205	46	54	2	2	NUM
app01-10205	46	55	−	−	PROPN
app01-10205	46	56	3	3	NUM
app01-10205	46	57	li	li	NOUN
app01-10205	46	58	1	1	NUM
app01-10205	46	59	−	−	PROPN
app01-10205	46	60	6	6	NUM
app01-10205	46	61	l2	l2	NOUN
app01-10205	47	1	i	i	PRON
app01-10205	47	2	−	−	VERB
app01-10205	47	3	3	3	NUM
app01-10205	47	4	li	li	PROPN
app01-10205	47	5	6	6	NUM
app01-10205	47	6	l2	l2	NOUN
app01-10205	47	7	i	i	PRON
app01-10205	47	8	−	−	VERB
app01-10205	47	9	3	3	NUM
app01-10205	47	10	li	li	PROPN
app01-10205	47	11	3	3	NUM
app01-10205	47	12	li	li	NOUN
app01-10205	47	13	1	1	NUM
app01-10205	47	14	−	−	PROPN
app01-10205	47	15	3	3	NUM
app01-10205	47	16	li	li	PROPN
app01-10205	47	17	2	2	NUM
app01-10205	47	18			NOUN
app01-10205	47	19			NOUN
app01-10205	48	1	vl	vl	PROPN
app01-10205	48	2	b	b	PROPN
app01-10205	48	3	φl	φl	NOUN
app01-10205	48	4	z	z	PROPN
app01-10205	48	5	,	,	PUNCT
app01-10205	48	6	b	b	PROPN
app01-10205	48	7	vl	vl	PROPN
app01-10205	48	8	e	e	PROPN
app01-10205	48	9	φl	φl	NOUN
app01-10205	48	10	z	z	PROPN
app01-10205	48	11	,	,	PUNCT
app01-10205	48	12	e	e	NOUN
app01-10205	48	13			NOUN
app01-10205	48	14	,	,	PUNCT
app01-10205	48	15	(	(	PUNCT
app01-10205	48	16	4	4	NUM
app01-10205	48	17	)	)	PUNCT
app01-10205	48	18	(	(	PUNCT
app01-10205	48	19	3	3	X
app01-10205	48	20	)	)	PUNCT
app01-10205	48	21	bending	bend	VERB
app01-10205	48	22	in	in	ADP
app01-10205	48	23	xz	xz	PROPN
app01-10205	48	24	plane	plane	NOUN
app01-10205	48	25	:	:	PUNCT
app01-10205	48	26			NOUN
app01-10205	49	1	zl	zl	PROPN
app01-10205	49	2	b	b	NOUN
app01-10205	49	3	m	m	PROPN
app01-10205	49	4	l	l	NOUN
app01-10205	49	5	y	y	PROPN
app01-10205	49	6	,	,	PUNCT
app01-10205	49	7	b	b	PROPN
app01-10205	49	8	zl	zl	PROPN
app01-10205	49	9	e	e	X
app01-10205	49	10	m	m	PROPN
app01-10205	49	11	l	l	NOUN
app01-10205	49	12	y	y	PROPN
app01-10205	49	13	,	,	PUNCT
app01-10205	49	14	e	e	NOUN
app01-10205	49	15			NOUN
app01-10205	49	16	=	=	SYM
app01-10205	49	17	2eiy	2eiy	NUM
app01-10205	49	18	li	li	X
app01-10205	49	19			VERB
app01-10205	49	20	6	6	NUM
app01-10205	49	21	l2	l2	NOUN
app01-10205	50	1	i	i	PRON
app01-10205	50	2	−	−	VERB
app01-10205	50	3	3	3	NUM
app01-10205	50	4	li	li	NOUN
app01-10205	50	5	−	−	PROPN
app01-10205	50	6	6	6	NUM
app01-10205	50	7	l2	l2	NOUN
app01-10205	50	8	i	i	PRON
app01-10205	50	9	−	−	VERB
app01-10205	50	10	3	3	NUM
app01-10205	50	11	li	li	NOUN
app01-10205	50	12	−	−	PROPN
app01-10205	50	13	3	3	NUM
app01-10205	50	14	li	li	NOUN
app01-10205	50	15	2	2	NUM
app01-10205	50	16	3	3	NUM
app01-10205	50	17	li	li	NOUN
app01-10205	50	18	1	1	NUM
app01-10205	50	19	−	−	PROPN
app01-10205	50	20	6	6	NUM
app01-10205	50	21	l2	l2	NOUN
app01-10205	50	22	i	i	VERB
app01-10205	50	23	3	3	NUM
app01-10205	50	24	li	li	NOUN
app01-10205	50	25	6	6	NUM
app01-10205	50	26	l2	l2	NOUN
app01-10205	50	27	i	i	VERB
app01-10205	50	28	3	3	NUM
app01-10205	50	29	li	li	NOUN
app01-10205	50	30	−	−	PROPN
app01-10205	50	31	3	3	NUM
app01-10205	50	32	li	li	NOUN
app01-10205	50	33	1	1	NUM
app01-10205	50	34	3	3	NUM
app01-10205	50	35	li	li	PROPN
app01-10205	50	36	2	2	NUM
app01-10205	50	37			NOUN
app01-10205	50	38			ADJ
app01-10205	50	39	wl	wl	NOUN
app01-10205	50	40	b	b	PROPN
app01-10205	50	41	φl	φl	ADJ
app01-10205	50	42	y	y	PROPN
app01-10205	50	43	,	,	PUNCT
app01-10205	50	44	b	b	PROPN
app01-10205	50	45	wl	wl	X
app01-10205	50	46	e	e	X
app01-10205	50	47	φl	φl	NOUN
app01-10205	50	48	y	y	PROPN
app01-10205	50	49	,	,	PUNCT
app01-10205	50	50	e	e	NOUN
app01-10205	50	51			NOUN
app01-10205	50	52	,	,	PUNCT
app01-10205	50	53	(	(	PUNCT
app01-10205	50	54	5	5	NUM
app01-10205	50	55	)	)	PUNCT
app01-10205	50	56	(	(	PUNCT
app01-10205	50	57	4	4	X
app01-10205	50	58	)	)	PUNCT
app01-10205	50	59	torsion	torsion	NOUN
app01-10205	50	60	:	:	PUNCT
app01-10205	50	61	[	[	PUNCT
app01-10205	50	62	m	m	NOUN
app01-10205	50	63	l	l	NOUN
app01-10205	50	64	x	x	NOUN
app01-10205	50	65	,	,	PUNCT
app01-10205	50	66	b	b	NOUN
app01-10205	50	67	m	m	NOUN
app01-10205	50	68	l	l	NOUN
app01-10205	50	69	x	x	X
app01-10205	50	70	,	,	PUNCT
app01-10205	50	71	e	e	X
app01-10205	50	72	]	]	PUNCT
app01-10205	50	73	=	=	PUNCT
app01-10205	50	74	gj	gj	PROPN
app01-10205	50	75	li	li	X
app01-10205	50	76	[	[	PUNCT
app01-10205	50	77	1	1	NUM
app01-10205	50	78	−1	−1	NOUN
app01-10205	50	79	−1	−1	NOUN
app01-10205	50	80	1	1	NUM
app01-10205	50	81	]	]	PUNCT
app01-10205	50	82	[	[	PUNCT
app01-10205	50	83	φl	φl	NOUN
app01-10205	50	84	x	x	PROPN
app01-10205	50	85	,	,	PUNCT
app01-10205	50	86	b	b	PROPN
app01-10205	50	87	φl	φl	ADJ
app01-10205	50	88	x	x	NOUN
app01-10205	50	89	,	,	PUNCT
app01-10205	50	90	e	e	NOUN
app01-10205	50	91	]	]	PUNCT
app01-10205	50	92	.	.	PUNCT
app01-10205	51	1	(	(	PUNCT
app01-10205	51	2	6	6	NUM
app01-10205	51	3	)	)	PUNCT
app01-10205	51	4	in	in	ADP
app01-10205	51	5	the	the	DET
app01-10205	51	6	equations	equation	NOUN
app01-10205	51	7	above	above	ADV
app01-10205	51	8	,	,	PUNCT
app01-10205	51	9	li	li	PROPN
app01-10205	51	10	refers	refer	VERB
app01-10205	51	11	to	to	ADP
app01-10205	51	12	the	the	DET
app01-10205	51	13	length	length	NOUN
app01-10205	51	14	of	of	ADP
app01-10205	51	15	a	a	DET
app01-10205	51	16	corresponding	corresponding	ADJ
app01-10205	51	17	beam	beam	NOUN
app01-10205	51	18	,	,	PUNCT
app01-10205	51	19	e	e	PROPN
app01-10205	51	20	denotes	denote	VERB
app01-10205	51	21	young	young	PROPN
app01-10205	51	22	’s	’s	PART
app01-10205	51	23	modulus	modulus	NOUN
app01-10205	51	24	,	,	PUNCT
app01-10205	51	25	g	g	PROPN
app01-10205	51	26	stands	stand	VERB
app01-10205	51	27	for	for	ADP
app01-10205	51	28	the	the	DET
app01-10205	51	29	shear	shear	NOUN
app01-10205	51	30	modulus	modulus	NOUN
app01-10205	51	31	,	,	PUNCT
app01-10205	51	32	and	and	CCONJ
app01-10205	51	33	moments	moment	NOUN
app01-10205	51	34	of	of	ADP
app01-10205	51	35	inertia	inertia	PROPN
app01-10205	51	36	iy	iy	PROPN
app01-10205	51	37	,	,	PUNCT
app01-10205	51	38	iz	iz	ADP
app01-10205	51	39	are	be	AUX
app01-10205	51	40	equal	equal	ADJ
app01-10205	51	41	to	to	ADP
app01-10205	51	42	i	i	PRON
app01-10205	51	43	due	due	ADP
app01-10205	51	44	to	to	ADP
app01-10205	51	45	the	the	DET
app01-10205	51	46	circular	circular	ADJ
app01-10205	51	47	crosssection	crosssection	NOUN
app01-10205	51	48	of	of	ADP
app01-10205	51	49	the	the	DET
app01-10205	51	50	beam	beam	NOUN
app01-10205	51	51	.	.	PUNCT
app01-10205	52	1	the	the	DET
app01-10205	52	2	local	local	ADJ
app01-10205	52	3	stiffness	stiffness	NOUN
app01-10205	52	4	matrix	matrix	NOUN
app01-10205	52	5	kl	kl	PRON
app01-10205	53	1	i	i	PRON
app01-10205	53	2	is	be	AUX
app01-10205	53	3	obtained	obtain	VERB
app01-10205	53	4	by	by	ADP
app01-10205	53	5	combining	combine	VERB
app01-10205	53	6	the	the	DET
app01-10205	53	7	submatrices	submatrice	NOUN
app01-10205	53	8	from	from	ADP
app01-10205	53	9	equations	equation	NOUN
app01-10205	53	10	(	(	PUNCT
app01-10205	53	11	3)–(6	3)–(6	NUM
app01-10205	53	12	)	)	PUNCT
app01-10205	53	13	,	,	PUNCT
app01-10205	53	14	each	each	PRON
app01-10205	53	15	contributing	contribute	VERB
app01-10205	53	16	to	to	ADP
app01-10205	53	17	its	its	PRON
app01-10205	53	18	specific	specific	ADJ
app01-10205	53	19	degrees	degree	NOUN
app01-10205	53	20	of	of	ADP
app01-10205	53	21	freedom	freedom	NOUN
app01-10205	53	22	(	(	PUNCT
app01-10205	53	23	dofs	dofs	NOUN
app01-10205	53	24	)	)	PUNCT
app01-10205	53	25	.	.	PUNCT
app01-10205	54	1	21	21	NUM
app01-10205	54	2	nataša	nataša	ADJ
app01-10205	54	3	jošková	jošková	PROPN
app01-10205	54	4	,	,	PUNCT
app01-10205	54	5	martin	martin	PROPN
app01-10205	54	6	doškář	doškář	PROPN
app01-10205	54	7	acta	acta	PROPN
app01-10205	54	8	polytechnica	polytechnica	PROPN
app01-10205	54	9	ctu	ctu	NOUN
app01-10205	54	10	proceedings	proceeding	NOUN
app01-10205	54	11	3.2	3.2	NUM
app01-10205	54	12	.	.	PUNCT
app01-10205	55	1	global	global	ADJ
app01-10205	55	2	stiffness	stiffness	NOUN
app01-10205	55	3	matrix	matrix	NOUN
app01-10205	55	4	the	the	DET
app01-10205	55	5	beams	beam	NOUN
app01-10205	55	6	constituting	constitute	VERB
app01-10205	55	7	the	the	DET
app01-10205	55	8	puc	puc	NOUN
app01-10205	55	9	’s	’s	PART
app01-10205	55	10	microstructure	microstructure	NOUN
app01-10205	55	11	have	have	VERB
app01-10205	55	12	different	different	ADJ
app01-10205	55	13	orientations	orientation	NOUN
app01-10205	55	14	.	.	PUNCT
app01-10205	56	1	hence	hence	ADV
app01-10205	56	2	,	,	PUNCT
app01-10205	56	3	it	it	PRON
app01-10205	56	4	is	be	AUX
app01-10205	56	5	necessary	necessary	ADJ
app01-10205	56	6	to	to	PART
app01-10205	56	7	transform	transform	VERB
app01-10205	56	8	local	local	ADJ
app01-10205	56	9	displacements	displacement	NOUN
app01-10205	56	10	,	,	PUNCT
app01-10205	56	11	rotations	rotation	NOUN
app01-10205	56	12	and	and	CCONJ
app01-10205	56	13	end	end	VERB
app01-10205	56	14	forces	force	NOUN
app01-10205	56	15	from	from	ADP
app01-10205	56	16	equations	equation	NOUN
app01-10205	56	17	(	(	PUNCT
app01-10205	56	18	3)–(6	3)–(6	X
app01-10205	56	19	)	)	PUNCT
app01-10205	56	20	into	into	ADP
app01-10205	56	21	a	a	DET
app01-10205	56	22	global	global	ADJ
app01-10205	56	23	coordinate	coordinate	NOUN
app01-10205	56	24	system	system	NOUN
app01-10205	56	25	.	.	PUNCT
app01-10205	57	1	in	in	ADP
app01-10205	57	2	our	our	PRON
app01-10205	57	3	study	study	NOUN
app01-10205	57	4	,	,	PUNCT
app01-10205	57	5	we	we	PRON
app01-10205	57	6	took	take	VERB
app01-10205	57	7	the	the	DET
app01-10205	57	8	approach	approach	NOUN
app01-10205	57	9	of	of	ADP
app01-10205	57	10	building	build	VERB
app01-10205	57	11	a	a	DET
app01-10205	57	12	rotation	rotation	NOUN
app01-10205	57	13	matrix	matrix	NOUN
app01-10205	57	14	ri	ri	NOUN
app01-10205	57	15	for	for	ADP
app01-10205	57	16	the	the	DET
app01-10205	57	17	ith	ith	PROPN
app01-10205	57	18	beam	beam	NOUN
app01-10205	57	19	with	with	ADP
app01-10205	57	20	euler	euler	NOUN
app01-10205	57	21	angles	angle	NOUN
app01-10205	57	22	.	.	PUNCT
app01-10205	58	1	the	the	DET
app01-10205	58	2	beam	beam	NOUN
app01-10205	58	3	’s	’s	PART
app01-10205	58	4	initial	initial	ADJ
app01-10205	58	5	position	position	NOUN
app01-10205	58	6	is	be	AUX
app01-10205	58	7	established	establish	VERB
app01-10205	58	8	by	by	ADP
app01-10205	58	9	aligning	align	VERB
app01-10205	58	10	its	its	PRON
app01-10205	58	11	local	local	ADJ
app01-10205	58	12	coordinate	coordinate	NOUN
app01-10205	58	13	system	system	NOUN
app01-10205	58	14	with	with	ADP
app01-10205	58	15	the	the	DET
app01-10205	58	16	global	global	ADJ
app01-10205	58	17	one	one	NUM
app01-10205	58	18	.	.	PUNCT
app01-10205	59	1	afterwards	afterwards	ADV
app01-10205	59	2	,	,	PUNCT
app01-10205	59	3	we	we	PRON
app01-10205	59	4	execute	execute	VERB
app01-10205	59	5	an	an	DET
app01-10205	59	6	extrinsic	extrinsic	ADJ
app01-10205	59	7	rotation	rotation	NOUN
app01-10205	59	8	around	around	ADP
app01-10205	59	9	the	the	DET
app01-10205	59	10	global	global	ADJ
app01-10205	59	11	coordinate	coordinate	NOUN
app01-10205	59	12	axes	axis	NOUN
app01-10205	59	13	until	until	SCONJ
app01-10205	59	14	the	the	DET
app01-10205	59	15	desired	desire	VERB
app01-10205	59	16	position	position	NOUN
app01-10205	59	17	is	be	AUX
app01-10205	59	18	achieved	achieve	VERB
app01-10205	59	19	.	.	PUNCT
app01-10205	60	1	rotation	rotation	NOUN
app01-10205	60	2	matrices	matrix	NOUN
app01-10205	60	3	:	:	PUNCT
app01-10205	60	4	rx	rx	VERB
app01-10205	60	5	=	=	SYM
app01-10205	60	6	1	1	NOUN
app01-10205	60	7	0	0	NUM
app01-10205	60	8	0	0	NUM
app01-10205	60	9	0	0	PUNCT
app01-10205	61	1	cos	cos	ADP
app01-10205	61	2	α	α	NOUN
app01-10205	61	3	−	−	PROPN
app01-10205	61	4	sin	sin	NOUN
app01-10205	61	5	α	α	PROPN
app01-10205	61	6	0	0	NUM
app01-10205	61	7	sin	sin	NOUN
app01-10205	61	8	α	α	PROPN
app01-10205	61	9	cos	cos	PROPN
app01-10205	61	10	α	α	NOUN
app01-10205	61	11			NOUN
app01-10205	61	12	,	,	PUNCT
app01-10205	61	13	(	(	PUNCT
app01-10205	61	14	7	7	X
app01-10205	61	15	)	)	PUNCT
app01-10205	61	16	ry	ry	NOUN
app01-10205	61	17	=	=	SYM
app01-10205	61	18			PROPN
app01-10205	61	19	cos	cos	ADP
app01-10205	61	20	β	β	X
app01-10205	61	21	0	0	NUM
app01-10205	61	22	sin	sin	PROPN
app01-10205	61	23	β	β	NOUN
app01-10205	61	24	0	0	NUM
app01-10205	61	25	1	1	NUM
app01-10205	61	26	0	0	NUM
app01-10205	61	27	−	−	PROPN
app01-10205	61	28	sin	sin	NOUN
app01-10205	61	29	β	β	X
app01-10205	61	30	0	0	PUNCT
app01-10205	61	31	cos	cos	SCONJ
app01-10205	61	32	β	β	NOUN
app01-10205	61	33			NOUN
app01-10205	61	34	,	,	PUNCT
app01-10205	61	35	(	(	PUNCT
app01-10205	61	36	8)	8)	NUM
app01-10205	61	37	rz	rz	NOUN
app01-10205	61	38	=	=	SYM
app01-10205	61	39	cos	cos	PROPN
app01-10205	61	40	γ	γ	NOUN
app01-10205	61	41	−	−	PROPN
app01-10205	61	42	sin	sin	NOUN
app01-10205	61	43	γ	γ	X
app01-10205	61	44	0	0	NUM
app01-10205	61	45	sin	sin	PROPN
app01-10205	61	46	γ	γ	X
app01-10205	61	47	cos	cos	PROPN
app01-10205	61	48	γ	γ	X
app01-10205	61	49	0	0	PROPN
app01-10205	61	50	0	0	NUM
app01-10205	61	51	0	0	NUM
app01-10205	61	52	1	1	NUM
app01-10205	61	53			NOUN
app01-10205	61	54	,	,	PUNCT
app01-10205	61	55	(	(	PUNCT
app01-10205	61	56	9	9	X
app01-10205	61	57	)	)	PUNCT
app01-10205	61	58	determine	determine	VERB
app01-10205	61	59	rotation	rotation	NOUN
app01-10205	61	60	around	around	ADP
app01-10205	61	61	global	global	ADJ
app01-10205	61	62	x	x	PROPN
app01-10205	61	63	,	,	PUNCT
app01-10205	61	64	y	y	PROPN
app01-10205	61	65	,	,	PUNCT
app01-10205	61	66	z	z	NOUN
app01-10205	61	67	axes	axis	NOUN
app01-10205	61	68	by	by	ADP
app01-10205	61	69	angles	angle	NOUN
app01-10205	61	70	α	α	PROPN
app01-10205	61	71	,	,	PUNCT
app01-10205	61	72	β	β	X
app01-10205	61	73	,	,	PUNCT
app01-10205	61	74	γ	γ	X
app01-10205	61	75	,	,	PUNCT
app01-10205	61	76	respectively	respectively	ADV
app01-10205	61	77	,	,	PUNCT
app01-10205	61	78	while	while	SCONJ
app01-10205	61	79	each	each	DET
app01-10205	61	80	angle	angle	NOUN
app01-10205	61	81	stands	stand	VERB
app01-10205	61	82	for	for	ADP
app01-10205	61	83	rotation	rotation	NOUN
app01-10205	61	84	from	from	ADP
app01-10205	61	85	the	the	DET
app01-10205	61	86	latest	late	ADJ
app01-10205	61	87	beam	beam	NOUN
app01-10205	61	88	’s	’s	PART
app01-10205	61	89	position	position	NOUN
app01-10205	61	90	.	.	PUNCT
app01-10205	62	1	to	to	PART
app01-10205	62	2	obtain	obtain	VERB
app01-10205	62	3	the	the	DET
app01-10205	62	4	rotation	rotation	NOUN
app01-10205	62	5	matrix	matrix	NOUN
app01-10205	62	6	ri	ri	NOUN
app01-10205	62	7	,	,	PUNCT
app01-10205	62	8	we	we	PRON
app01-10205	62	9	perform	perform	VERB
app01-10205	62	10	matrix	matrix	NOUN
app01-10205	62	11	multiplication	multiplication	NOUN
app01-10205	62	12	:	:	PUNCT
app01-10205	62	13	ri	ri	PROPN
app01-10205	62	14	=	=	SYM
app01-10205	62	15	rz	rz	NOUN
app01-10205	62	16	·	·	PUNCT
app01-10205	62	17	ry	ry	PART
app01-10205	62	18	·	·	PUNCT
app01-10205	62	19	rx	rx	VERB
app01-10205	62	20	,	,	PUNCT
app01-10205	62	21	(	(	PUNCT
app01-10205	62	22	10	10	NUM
app01-10205	62	23	)	)	PUNCT
app01-10205	62	24	where	where	SCONJ
app01-10205	62	25	the	the	DET
app01-10205	62	26	sequence	sequence	NOUN
app01-10205	62	27	of	of	ADP
app01-10205	62	28	the	the	DET
app01-10205	62	29	elements	element	NOUN
app01-10205	62	30	is	be	AUX
app01-10205	62	31	based	base	VERB
app01-10205	62	32	on	on	ADP
app01-10205	62	33	order	order	NOUN
app01-10205	62	34	in	in	ADP
app01-10205	62	35	which	which	PRON
app01-10205	62	36	the	the	DET
app01-10205	62	37	beam	beam	NOUN
app01-10205	62	38	is	be	AUX
app01-10205	62	39	rotated	rotate	VERB
app01-10205	62	40	,	,	PUNCT
app01-10205	62	41	starting	start	VERB
app01-10205	62	42	with	with	ADP
app01-10205	62	43	rotation	rotation	NOUN
app01-10205	62	44	around	around	ADP
app01-10205	62	45	the	the	DET
app01-10205	62	46	global	global	ADJ
app01-10205	62	47	x	x	ADJ
app01-10205	62	48	axis	axis	NOUN
app01-10205	62	49	.	.	PUNCT
app01-10205	63	1	the	the	DET
app01-10205	63	2	nodal	nodal	NOUN
app01-10205	63	3	displacements	displacement	NOUN
app01-10205	63	4	and	and	CCONJ
app01-10205	63	5	rotations	rotation	NOUN
app01-10205	63	6	are	be	AUX
app01-10205	63	7	transformed	transform	VERB
app01-10205	63	8	on	on	ADP
app01-10205	63	9	each	each	DET
app01-10205	63	10	side	side	NOUN
app01-10205	63	11	of	of	ADP
app01-10205	63	12	the	the	DET
app01-10205	63	13	beam	beam	NOUN
app01-10205	63	14	equally	equally	ADV
app01-10205	63	15	,	,	PUNCT
app01-10205	63	16	so	so	SCONJ
app01-10205	63	17	we	we	PRON
app01-10205	63	18	can	can	AUX
app01-10205	63	19	create	create	VERB
app01-10205	63	20	a	a	DET
app01-10205	63	21	transformation	transformation	NOUN
app01-10205	63	22	matrix	matrix	NOUN
app01-10205	63	23	ti	ti	NOUN
app01-10205	63	24	by	by	ADP
app01-10205	63	25	arranging	arrange	VERB
app01-10205	63	26	the	the	DET
app01-10205	63	27	rotation	rotation	NOUN
app01-10205	63	28	matrix	matrix	NOUN
app01-10205	63	29	ri	ri	NOUN
app01-10205	63	30	on	on	ADP
app01-10205	63	31	its	its	PRON
app01-10205	63	32	diagonal	diagonal	ADJ
app01-10205	63	33	:	:	PUNCT
app01-10205	63	34	ti	ti	X
app01-10205	63	35	=	=	SYM
app01-10205	63	36			NOUN
app01-10205	63	37	ri	ri	NOUN
app01-10205	63	38	0	0	NUM
app01-10205	63	39	0	0	NUM
app01-10205	63	40	0	0	NUM
app01-10205	63	41	0	0	NUM
app01-10205	63	42	ri	ri	PROPN
app01-10205	63	43	0	0	NUM
app01-10205	63	44	0	0	NUM
app01-10205	63	45	0	0	NUM
app01-10205	63	46	0	0	NUM
app01-10205	63	47	ri	ri	PROPN
app01-10205	63	48	0	0	NUM
app01-10205	63	49	0	0	NUM
app01-10205	63	50	0	0	NUM
app01-10205	63	51	0	0	NUM
app01-10205	63	52	ri	ri	NOUN
app01-10205	63	53			PROPN
app01-10205	63	54	.	.	PUNCT
app01-10205	64	1	(	(	PUNCT
app01-10205	64	2	11	11	NUM
app01-10205	64	3	)	)	PUNCT
app01-10205	64	4	the	the	DET
app01-10205	64	5	local	local	ADJ
app01-10205	64	6	stiffness	stiffness	NOUN
app01-10205	64	7	matrix	matrix	NOUN
app01-10205	64	8	is	be	AUX
app01-10205	64	9	then	then	ADV
app01-10205	64	10	transformed	transform	VERB
app01-10205	64	11	into	into	ADP
app01-10205	64	12	a	a	DET
app01-10205	64	13	global	global	ADJ
app01-10205	64	14	coordinate	coordinate	NOUN
app01-10205	64	15	system	system	NOUN
app01-10205	64	16	using	use	VERB
app01-10205	64	17	the	the	DET
app01-10205	64	18	relation	relation	NOUN
app01-10205	64	19	:	:	PUNCT
app01-10205	65	1	kg	kg	INTJ
app01-10205	66	1	i	i	PRON
app01-10205	66	2	=	=	PUNCT
app01-10205	67	1	tt	tt	PROPN
app01-10205	67	2	i	i	PROPN
app01-10205	67	3	kl	kl	PROPN
app01-10205	67	4	iti	iti	PROPN
app01-10205	67	5	,	,	PUNCT
app01-10205	67	6	(	(	PUNCT
app01-10205	67	7	12	12	NUM
app01-10205	67	8	)	)	PUNCT
app01-10205	67	9	from	from	ADP
app01-10205	67	10	which	which	PRON
app01-10205	67	11	we	we	PRON
app01-10205	67	12	obtain	obtain	VERB
app01-10205	67	13	the	the	DET
app01-10205	67	14	global	global	ADJ
app01-10205	67	15	stiffness	stiffness	NOUN
app01-10205	67	16	matrix	matrix	NOUN
app01-10205	67	17	kg	kg	X
app01-10205	67	18	i	i	PRON
app01-10205	67	19	for	for	ADP
app01-10205	67	20	each	each	DET
app01-10205	67	21	beam	beam	NOUN
app01-10205	67	22	and	and	CCONJ
app01-10205	67	23	localise	localise	VERB
app01-10205	67	24	them	they	PRON
app01-10205	67	25	to	to	ADP
app01-10205	67	26	the	the	DET
app01-10205	67	27	stiffness	stiffness	ADJ
app01-10205	67	28	matrix	matrix	NOUN
app01-10205	67	29	k	k	NOUN
app01-10205	67	30	using	use	VERB
app01-10205	67	31	boolean	boolean	ADJ
app01-10205	67	32	localisation	localisation	NOUN
app01-10205	67	33	matrices	matrix	NOUN
app01-10205	67	34	li	li	NOUN
app01-10205	67	35	:	:	PUNCT
app01-10205	67	36	k	k	X
app01-10205	68	1	=	=	PUNCT
app01-10205	68	2	∑	∑	PUNCT
app01-10205	68	3	i	i	PRON
app01-10205	68	4	lt	lt	VERB
app01-10205	68	5	i	i	PRON
app01-10205	68	6	kg	kg	INTJ
app01-10205	68	7	i	i	NOUN
app01-10205	68	8	li	li	PROPN
app01-10205	68	9	.	.	PUNCT
app01-10205	69	1	(	(	PUNCT
app01-10205	69	2	13	13	NUM
app01-10205	69	3	)	)	SYM
app01-10205	69	4	4	4	NUM
app01-10205	69	5	.	.	PUNCT
app01-10205	70	1	homogenisation	homogenisation	NOUN
app01-10205	70	2	the	the	DET
app01-10205	70	3	homogenisation	homogenisation	NOUN
app01-10205	70	4	process	process	NOUN
app01-10205	70	5	substitutes	substitute	VERB
app01-10205	70	6	a	a	DET
app01-10205	70	7	heterogeneous	heterogeneous	ADJ
app01-10205	70	8	puc	puc	NOUN
app01-10205	70	9	at	at	ADP
app01-10205	70	10	the	the	DET
app01-10205	70	11	microscopic	microscopic	ADJ
app01-10205	70	12	level	level	NOUN
app01-10205	70	13	with	with	ADP
app01-10205	70	14	a	a	DET
app01-10205	70	15	corresponding	corresponding	ADJ
app01-10205	70	16	macroscopic	macroscopic	ADJ
app01-10205	70	17	constitutive	constitutive	ADJ
app01-10205	70	18	model	model	NOUN
app01-10205	70	19	,	,	PUNCT
app01-10205	70	20	allowing	allow	VERB
app01-10205	70	21	us	we	PRON
app01-10205	70	22	to	to	PART
app01-10205	70	23	study	study	VERB
app01-10205	70	24	the	the	DET
app01-10205	70	25	effective	effective	ADJ
app01-10205	70	26	behaviour	behaviour	NOUN
app01-10205	70	27	of	of	ADP
app01-10205	70	28	the	the	DET
app01-10205	70	29	puc	puc	NOUN
app01-10205	70	30	when	when	SCONJ
app01-10205	70	31	treated	treat	VERB
app01-10205	70	32	as	as	ADP
app01-10205	70	33	a	a	DET
app01-10205	70	34	material	material	NOUN
app01-10205	70	35	considering	consider	VERB
app01-10205	70	36	its	its	PRON
app01-10205	70	37	microstructure	microstructure	NOUN
app01-10205	70	38	.	.	PUNCT
app01-10205	71	1	in	in	ADP
app01-10205	71	2	our	our	PRON
app01-10205	71	3	study	study	NOUN
app01-10205	71	4	,	,	PUNCT
app01-10205	71	5	we	we	PRON
app01-10205	71	6	are	be	AUX
app01-10205	71	7	using	use	VERB
app01-10205	71	8	the	the	DET
app01-10205	71	9	first	first	ADJ
app01-10205	71	10	-	-	PUNCT
app01-10205	71	11	order	order	NOUN
app01-10205	71	12	numerical	numerical	ADJ
app01-10205	71	13	homogenisation	homogenisation	NOUN
app01-10205	71	14	to	to	PART
app01-10205	71	15	obtain	obtain	VERB
app01-10205	71	16	effective	effective	ADJ
app01-10205	71	17	metamaterial	metamaterial	ADJ
app01-10205	71	18	properties	property	NOUN
app01-10205	71	19	.	.	PUNCT
app01-10205	72	1	4.1	4.1	NUM
app01-10205	72	2	.	.	PUNCT
app01-10205	72	3	displacement	displacement	ADJ
app01-10205	72	4	decomposition	decomposition	NOUN
app01-10205	72	5	in	in	ADP
app01-10205	72	6	the	the	DET
app01-10205	72	7	first	first	ADJ
app01-10205	72	8	-	-	PUNCT
app01-10205	72	9	order	order	NOUN
app01-10205	72	10	homogenisation	homogenisation	NOUN
app01-10205	72	11	,	,	PUNCT
app01-10205	72	12	the	the	DET
app01-10205	72	13	total	total	ADJ
app01-10205	72	14	displacement	displacement	ADJ
app01-10205	72	15	field	field	NOUN
app01-10205	72	16	u⃗(x⃗	u⃗(x⃗	PROPN
app01-10205	72	17	)	)	PUNCT
app01-10205	72	18	is	be	AUX
app01-10205	72	19	assumed	assume	VERB
app01-10205	72	20	in	in	ADP
app01-10205	72	21	the	the	DET
app01-10205	72	22	form	form	NOUN
app01-10205	72	23	:	:	PUNCT
app01-10205	72	24	u⃗(x⃗	u⃗(x⃗	PROPN
app01-10205	72	25	)	)	PUNCT
app01-10205	72	26	=	=	SYM
app01-10205	73	1	u⃗	u⃗	PROPN
app01-10205	73	2	e(x⃗	e(x⃗	NOUN
app01-10205	73	3	)	)	PUNCT
app01-10205	74	1	+	+	CCONJ
app01-10205	74	2	u⃗	u⃗	PROPN
app01-10205	74	3	∗(x⃗	∗(x⃗	NUM
app01-10205	74	4	)	)	PUNCT
app01-10205	74	5	,	,	PUNCT
app01-10205	74	6	(	(	PUNCT
app01-10205	74	7	14	14	NUM
app01-10205	74	8	)	)	PUNCT
app01-10205	74	9	where	where	SCONJ
app01-10205	74	10	u⃗	u⃗	PROPN
app01-10205	74	11	e	e	PROPN
app01-10205	74	12	denotes	denote	VERB
app01-10205	74	13	the	the	DET
app01-10205	74	14	macroscopic	macroscopic	ADJ
app01-10205	74	15	and	and	CCONJ
app01-10205	74	16	u⃗∗	u⃗∗	ADJ
app01-10205	74	17	is	be	AUX
app01-10205	74	18	the	the	DET
app01-10205	74	19	fluctuation	fluctuation	NOUN
app01-10205	74	20	part	part	NOUN
app01-10205	74	21	of	of	ADP
app01-10205	74	22	the	the	DET
app01-10205	74	23	displacement	displacement	ADJ
app01-10205	74	24	field	field	NOUN
app01-10205	74	25	caused	cause	VERB
app01-10205	74	26	by	by	ADP
app01-10205	74	27	the	the	DET
app01-10205	74	28	heterogeneity	heterogeneity	NOUN
app01-10205	74	29	of	of	ADP
app01-10205	74	30	the	the	DET
app01-10205	74	31	metamaterial	metamaterial	ADJ
app01-10205	74	32	[	[	X
app01-10205	74	33	6	6	NUM
app01-10205	74	34	]	]	PUNCT
app01-10205	74	35	.	.	PUNCT
app01-10205	75	1	the	the	DET
app01-10205	75	2	macroscopic	macroscopic	ADJ
app01-10205	75	3	part	part	NOUN
app01-10205	75	4	u⃗	u⃗	PROPN
app01-10205	75	5	e	e	PROPN
app01-10205	75	6	of	of	ADP
app01-10205	75	7	the	the	DET
app01-10205	75	8	displacement	displacement	ADJ
app01-10205	75	9	field	field	NOUN
app01-10205	75	10	corresponds	correspond	VERB
app01-10205	75	11	to	to	ADP
app01-10205	75	12	a	a	DET
app01-10205	75	13	situation	situation	NOUN
app01-10205	75	14	under	under	ADP
app01-10205	75	15	which	which	PRON
app01-10205	75	16	an	an	DET
app01-10205	75	17	entire	entire	ADJ
app01-10205	75	18	cell	cell	NOUN
app01-10205	75	19	composed	compose	VERB
app01-10205	75	20	of	of	ADP
app01-10205	75	21	homogeneous	homogeneous	ADJ
app01-10205	75	22	material	material	NOUN
app01-10205	75	23	would	would	AUX
app01-10205	75	24	be	be	AUX
app01-10205	75	25	subjected	subject	VERB
app01-10205	75	26	to	to	ADP
app01-10205	75	27	a	a	DET
app01-10205	75	28	constant	constant	ADJ
app01-10205	75	29	macroscopic	macroscopic	ADJ
app01-10205	75	30	strain	strain	NOUN
app01-10205	75	31	tensor	tensor	NOUN
app01-10205	75	32	e	e	NOUN
app01-10205	75	33	:	:	PUNCT
app01-10205	75	34	e	e	X
app01-10205	75	35	=	=	PUNCT
app01-10205	75	36	exx	exx	PROPN
app01-10205	75	37	exy	exy	ADJ
app01-10205	75	38	exz	exz	VERB
app01-10205	75	39	eyx	eyx	PROPN
app01-10205	75	40	eyy	eyy	PROPN
app01-10205	75	41	eyz	eyz	PROPN
app01-10205	75	42	ezx	ezx	PROPN
app01-10205	75	43	ezy	ezy	PROPN
app01-10205	75	44	ezz	ezz	NOUN
app01-10205	75	45			NOUN
app01-10205	75	46	,	,	PUNCT
app01-10205	75	47	(	(	PUNCT
app01-10205	75	48	15	15	NUM
app01-10205	75	49	)	)	PUNCT
app01-10205	75	50	which	which	PRON
app01-10205	75	51	results	result	VERB
app01-10205	75	52	in	in	ADP
app01-10205	75	53	a	a	DET
app01-10205	75	54	displacement	displacement	ADJ
app01-10205	75	55	field	field	NOUN
app01-10205	75	56	ue	ue	NOUN
app01-10205	75	57	given	give	VERB
app01-10205	75	58	as	as	ADP
app01-10205	75	59	:	:	PUNCT
app01-10205	75	60	u⃗	u⃗	PROPN
app01-10205	75	61	e(xi	e(xi	PROPN
app01-10205	75	62	)	)	PUNCT
app01-10205	75	63	=	=	SYM
app01-10205	76	1	e	e	X
app01-10205	76	2	·	·	PUNCT
app01-10205	76	3	xi	xi	X
app01-10205	76	4	=	=	PUNCT
app01-10205	76	5	u	u	PROPN
app01-10205	76	6	e	e	X
app01-10205	76	7	i	i	PRON
app01-10205	76	8	v	v	VERB
app01-10205	76	9	e	e	X
app01-10205	77	1	i	i	NOUN
app01-10205	77	2	w	w	VERB
app01-10205	77	3	e	e	NOUN
app01-10205	77	4	i	i	PRON
app01-10205	77	5			VERB
app01-10205	77	6	.	.	PUNCT
app01-10205	78	1	(	(	PUNCT
app01-10205	78	2	16	16	NUM
app01-10205	78	3	)	)	PUNCT
app01-10205	78	4	for	for	ADP
app01-10205	78	5	the	the	DET
app01-10205	78	6	first	first	ADJ
app01-10205	78	7	-	-	PUNCT
app01-10205	78	8	order	order	NOUN
app01-10205	78	9	homogenisation	homogenisation	NOUN
app01-10205	78	10	,	,	PUNCT
app01-10205	78	11	it	it	PRON
app01-10205	78	12	is	be	AUX
app01-10205	78	13	further	far	ADV
app01-10205	78	14	assumed	assume	VERB
app01-10205	78	15	that	that	SCONJ
app01-10205	78	16	the	the	DET
app01-10205	78	17	volumetric	volumetric	ADJ
app01-10205	78	18	average	average	NOUN
app01-10205	78	19	of	of	ADP
app01-10205	78	20	the	the	DET
app01-10205	78	21	gradient	gradient	NOUN
app01-10205	78	22	of	of	ADP
app01-10205	78	23	the	the	DET
app01-10205	78	24	entire	entire	ADJ
app01-10205	78	25	displacement	displacement	ADJ
app01-10205	78	26	field	field	NOUN
app01-10205	78	27	u⃗(x⃗	u⃗(x⃗	NOUN
app01-10205	78	28	)	)	PUNCT
app01-10205	78	29	corresponds	correspond	VERB
app01-10205	78	30	to	to	ADP
app01-10205	78	31	the	the	DET
app01-10205	78	32	prescribed	prescribed	ADJ
app01-10205	78	33	macroscopic	macroscopic	ADJ
app01-10205	78	34	deformation	deformation	NOUN
app01-10205	78	35	e.	e.	PROPN
app01-10205	78	36	by	by	ADP
app01-10205	78	37	applying	apply	VERB
app01-10205	78	38	the	the	DET
app01-10205	78	39	symmetric	symmetric	ADJ
app01-10205	78	40	gradient	gradient	NOUN
app01-10205	78	41	operator	operator	NOUN
app01-10205	79	1	∇s	∇s	NOUN
app01-10205	79	2	=	=	NOUN
app01-10205	79	3	1	1	NUM
app01-10205	79	4	2	2	NUM
app01-10205	79	5	(	(	PUNCT
app01-10205	79	6	∇	∇	X
app01-10205	79	7	+	+	CCONJ
app01-10205	79	8	∇t	∇t	NOUN
app01-10205	79	9	)	)	PUNCT
app01-10205	80	1	and	and	CCONJ
app01-10205	80	2	averaging	average	VERB
app01-10205	80	3	the	the	DET
app01-10205	80	4	result	result	NOUN
app01-10205	80	5	over	over	ADP
app01-10205	80	6	a	a	DET
app01-10205	80	7	unit	unit	NOUN
app01-10205	80	8	cell	cell	NOUN
app01-10205	80	9	ω	ω	PROPN
app01-10205	80	10	,	,	PUNCT
app01-10205	80	11	we	we	PRON
app01-10205	80	12	obtain	obtain	VERB
app01-10205	80	13	:	:	PUNCT
app01-10205	80	14	e	e	X
app01-10205	80	15	=	=	SYM
app01-10205	80	16	1	1	NUM
app01-10205	80	17	|ω|	|ω|	PROPN
app01-10205	80	18	∫	∫	PROPN
app01-10205	80	19	ω	ω	PROPN
app01-10205	80	20	∇su⃗(x⃗	∇su⃗(x⃗	PROPN
app01-10205	80	21	)	)	PUNCT
app01-10205	80	22	dx⃗	dx⃗	PROPN
app01-10205	80	23	=	=	PUNCT
app01-10205	80	24	1	1	NUM
app01-10205	80	25	|ω|	|ω|	NUM
app01-10205	80	26	∫	∫	PROPN
app01-10205	80	27	ω	ω	PROPN
app01-10205	80	28	∇su⃗	∇su⃗	PROPN
app01-10205	80	29	e(x⃗	e(x⃗	NOUN
app01-10205	80	30	)	)	PUNCT
app01-10205	81	1	+	+	CCONJ
app01-10205	81	2	∇su⃗	∇su⃗	NOUN
app01-10205	81	3	∗(x⃗	∗(x⃗	NUM
app01-10205	81	4	)	)	PUNCT
app01-10205	81	5	dx⃗	dx⃗	NOUN
app01-10205	81	6	,	,	PUNCT
app01-10205	81	7	(	(	PUNCT
app01-10205	81	8	17	17	NUM
app01-10205	81	9	)	)	PUNCT
app01-10205	81	10	where	where	SCONJ
app01-10205	81	11	ω	ω	NOUN
app01-10205	81	12	represents	represent	VERB
app01-10205	81	13	the	the	DET
app01-10205	81	14	microscale	microscale	ADJ
app01-10205	81	15	domain	domain	NOUN
app01-10205	81	16	of	of	ADP
app01-10205	81	17	interest	interest	NOUN
app01-10205	81	18	,	,	PUNCT
app01-10205	81	19	being	be	AUX
app01-10205	81	20	the	the	DET
app01-10205	81	21	metamaterial	metamaterial	ADJ
app01-10205	81	22	’s	’s	PART
app01-10205	81	23	macroscopic	macroscopic	ADJ
app01-10205	81	24	point	point	NOUN
app01-10205	81	25	[	[	X
app01-10205	81	26	7	7	NUM
app01-10205	81	27	]	]	PUNCT
app01-10205	81	28	.	.	PUNCT
app01-10205	82	1	the	the	DET
app01-10205	82	2	macroscopic	macroscopic	ADJ
app01-10205	82	3	part	part	NOUN
app01-10205	82	4	of	of	ADP
app01-10205	82	5	the	the	DET
app01-10205	82	6	deformation	deformation	NOUN
app01-10205	82	7	u⃗	u⃗	PROPN
app01-10205	82	8	e(x⃗	e(x⃗	NOUN
app01-10205	82	9	)	)	PUNCT
app01-10205	82	10	in	in	ADP
app01-10205	82	11	equation	equation	NOUN
app01-10205	82	12	(	(	PUNCT
app01-10205	82	13	16	16	NUM
app01-10205	82	14	)	)	PUNCT
app01-10205	82	15	is	be	AUX
app01-10205	82	16	defined	define	VERB
app01-10205	82	17	such	such	ADJ
app01-10205	82	18	that	that	SCONJ
app01-10205	82	19	:	:	PUNCT
app01-10205	82	20	e	e	X
app01-10205	82	21	=	=	SYM
app01-10205	82	22	1	1	NUM
app01-10205	82	23	|ω|	|ω|	PROPN
app01-10205	82	24	∫	∫	PROPN
app01-10205	82	25	ω	ω	PROPN
app01-10205	82	26	∇su⃗	∇su⃗	PROPN
app01-10205	82	27	e(x⃗)dx⃗.	e(x⃗)dx⃗.	PROPN
app01-10205	82	28	(	(	PUNCT
app01-10205	82	29	18	18	NUM
app01-10205	82	30	)	)	PUNCT
app01-10205	82	31	consequently	consequently	ADV
app01-10205	82	32	,	,	PUNCT
app01-10205	82	33	the	the	DET
app01-10205	82	34	fluctuation	fluctuation	NOUN
app01-10205	82	35	part	part	NOUN
app01-10205	82	36	u⃗	u⃗	PROPN
app01-10205	82	37	∗(x⃗	∗(x⃗	NUM
app01-10205	82	38	)	)	PUNCT
app01-10205	82	39	of	of	ADP
app01-10205	82	40	the	the	DET
app01-10205	82	41	displacement	displacement	ADJ
app01-10205	82	42	field	field	NOUN
app01-10205	82	43	u⃗(x⃗	u⃗(x⃗	PROPN
app01-10205	82	44	)	)	PUNCT
app01-10205	82	45	,	,	PUNCT
app01-10205	82	46	must	must	AUX
app01-10205	82	47	have	have	VERB
app01-10205	82	48	a	a	DET
app01-10205	82	49	zero	zero	NUM
app01-10205	82	50	volumetric	volumetric	NOUN
app01-10205	82	51	average	average	ADJ
app01-10205	82	52	gradient	gradient	NOUN
app01-10205	82	53	,	,	PUNCT
app01-10205	82	54	i.e.	i.e.	X
app01-10205	82	55	:	:	PUNCT
app01-10205	82	56	1	1	NUM
app01-10205	82	57	|ω|	|ω|	NUM
app01-10205	82	58	∫	∫	PROPN
app01-10205	82	59	ω	ω	PROPN
app01-10205	82	60	∇su⃗	∇su⃗	NOUN
app01-10205	83	1	∗(x⃗)dx⃗	∗(x⃗)dx⃗	NOUN
app01-10205	83	2	=	=	PUNCT
app01-10205	83	3	0	0	X
app01-10205	83	4	.	.	PUNCT
app01-10205	84	1	(	(	PUNCT
app01-10205	84	2	19	19	NUM
app01-10205	84	3	)	)	PUNCT
app01-10205	84	4	22	22	NUM
app01-10205	84	5	vol	vol	NOUN
app01-10205	84	6	.	.	PUNCT
app01-10205	85	1	49/2024	49/2024	NUM
app01-10205	85	2	effect	effect	NOUN
app01-10205	85	3	of	of	ADP
app01-10205	85	4	geometry	geometry	NOUN
app01-10205	85	5	on	on	ADP
app01-10205	85	6	homogenised	homogenised	ADJ
app01-10205	85	7	properties	property	NOUN
app01-10205	85	8	of	of	ADP
app01-10205	85	9	auxetic	auxetic	ADJ
app01-10205	85	10	metamaterial	metamaterial	NOUN
app01-10205	85	11	for	for	ADP
app01-10205	85	12	our	our	PRON
app01-10205	85	13	discrete	discrete	ADJ
app01-10205	85	14	beam	beam	NOUN
app01-10205	85	15	model	model	NOUN
app01-10205	85	16	,	,	PUNCT
app01-10205	85	17	equation	equation	NOUN
app01-10205	85	18	(	(	PUNCT
app01-10205	85	19	16	16	NUM
app01-10205	85	20	)	)	PUNCT
app01-10205	85	21	in	in	ADP
app01-10205	85	22	a	a	DET
app01-10205	85	23	matrix	matrix	NOUN
app01-10205	85	24	form	form	NOUN
app01-10205	85	25	reads	read	VERB
app01-10205	85	26	as	as	ADP
app01-10205	85	27	:	:	PUNCT
app01-10205	85	28	ue	ue	INTJ
app01-10205	85	29	i	i	NOUN
app01-10205	85	30	=	=	NOUN
app01-10205	85	31			NOUN
app01-10205	85	32	xi	xi	ADP
app01-10205	85	33	0	0	NUM
app01-10205	85	34	0	0	NUM
app01-10205	85	35	0	0	NUM
app01-10205	85	36	1	1	NUM
app01-10205	85	37	2	2	NUM
app01-10205	85	38	zi	zi	NOUN
app01-10205	85	39	1	1	NUM
app01-10205	85	40	2	2	NUM
app01-10205	85	41	yi	yi	NOUN
app01-10205	85	42	0	0	NUM
app01-10205	85	43	yi	yi	NOUN
app01-10205	85	44	0	0	NUM
app01-10205	85	45	1	1	NUM
app01-10205	85	46	2	2	NUM
app01-10205	85	47	zi	zi	NOUN
app01-10205	85	48	0	0	NUM
app01-10205	86	1	1	1	NUM
app01-10205	86	2	2	2	NUM
app01-10205	86	3	xi	xi	ADP
app01-10205	86	4	0	0	NUM
app01-10205	86	5	0	0	NUM
app01-10205	86	6	zi	zi	NOUN
app01-10205	86	7	1	1	NUM
app01-10205	86	8	2	2	NUM
app01-10205	86	9	yi	yi	NOUN
app01-10205	86	10	1	1	NUM
app01-10205	86	11	2	2	NUM
app01-10205	86	12	xi	xi	ADP
app01-10205	86	13	0	0	NUM
app01-10205	86	14	0	0	NUM
app01-10205	86	15	0	0	NUM
app01-10205	86	16	0	0	NUM
app01-10205	86	17	0	0	NUM
app01-10205	86	18	0	0	NUM
app01-10205	86	19	0	0	NUM
app01-10205	86	20	0	0	NUM
app01-10205	86	21	0	0	NUM
app01-10205	86	22	0	0	NUM
app01-10205	86	23	0	0	NUM
app01-10205	86	24	0	0	NUM
app01-10205	86	25	0	0	NUM
app01-10205	86	26	0	0	NUM
app01-10205	86	27	0	0	NUM
app01-10205	86	28	0	0	NUM
app01-10205	86	29	0	0	NUM
app01-10205	86	30	0	0	NUM
app01-10205	86	31	0	0	NUM
app01-10205	86	32			NUM
app01-10205	86	33	e	e	X
app01-10205	86	34	=	=	SYM
app01-10205	86	35	qe	qe	PROPN
app01-10205	86	36	i	i	PROPN
app01-10205	86	37	e	e	PROPN
app01-10205	86	38	,	,	PUNCT
app01-10205	86	39	(	(	PUNCT
app01-10205	86	40	20	20	NUM
app01-10205	86	41	)	)	PUNCT
app01-10205	86	42	and	and	CCONJ
app01-10205	86	43	couples	couple	NOUN
app01-10205	86	44	nodal	nodal	VERB
app01-10205	86	45	dofs	dof	NOUN
app01-10205	86	46	with	with	ADP
app01-10205	86	47	the	the	DET
app01-10205	86	48	macroscopic	macroscopic	ADJ
app01-10205	86	49	deformation	deformation	NOUN
app01-10205	86	50	e	e	NOUN
app01-10205	86	51	,	,	PUNCT
app01-10205	86	52	which	which	PRON
app01-10205	86	53	is	be	AUX
app01-10205	86	54	the	the	DET
app01-10205	86	55	vectorial	vectorial	ADJ
app01-10205	86	56	representation	representation	NOUN
app01-10205	86	57	of	of	ADP
app01-10205	86	58	a	a	DET
app01-10205	86	59	symmetric	symmetric	ADJ
app01-10205	86	60	second	second	ADJ
app01-10205	86	61	-	-	PUNCT
app01-10205	86	62	order	order	NOUN
app01-10205	86	63	tensor	tensor	NOUN
app01-10205	86	64	:	:	PUNCT
app01-10205	87	1	e	e	X
app01-10205	87	2	=	=	PUNCT
app01-10205	87	3	[	[	PUNCT
app01-10205	87	4	ex	ex	X
app01-10205	87	5	ey	ey	PROPN
app01-10205	87	6	ez	ez	PROPN
app01-10205	87	7	γyz	γyz	PROPN
app01-10205	87	8	γxz	γxz	PROPN
app01-10205	87	9	γxy	γxy	NOUN
app01-10205	87	10	]	]	X
app01-10205	87	11	t	t	NOUN
app01-10205	87	12	.	.	PUNCT
app01-10205	88	1	(	(	PUNCT
app01-10205	88	2	21	21	NUM
app01-10205	88	3	)	)	PUNCT
app01-10205	88	4	now	now	ADV
app01-10205	88	5	we	we	PRON
app01-10205	88	6	can	can	AUX
app01-10205	88	7	write	write	VERB
app01-10205	88	8	the	the	DET
app01-10205	88	9	original	original	ADJ
app01-10205	88	10	degrees	degree	NOUN
app01-10205	88	11	of	of	ADP
app01-10205	88	12	freedom	freedom	NOUN
app01-10205	88	13	u	u	NOUN
app01-10205	88	14	depending	depend	VERB
app01-10205	88	15	on	on	ADP
app01-10205	88	16	the	the	DET
app01-10205	88	17	macroscopic	macroscopic	ADJ
app01-10205	88	18	deformation	deformation	NOUN
app01-10205	88	19	e	e	NOUN
app01-10205	88	20	and	and	CCONJ
app01-10205	88	21	the	the	DET
app01-10205	88	22	fluctuation	fluctuation	NOUN
app01-10205	88	23	unknowns	unknown	VERB
app01-10205	88	24	u∗.	u∗.	PROPN
app01-10205	88	25	let	let	VERB
app01-10205	88	26	’s	’s	PRON
app01-10205	88	27	define	define	VERB
app01-10205	88	28	the	the	DET
app01-10205	88	29	extended	extended	ADJ
app01-10205	88	30	displacement	displacement	NOUN
app01-10205	88	31	vector	vector	NOUN
app01-10205	88	32	:	:	PUNCT
app01-10205	89	1	û	û	ADP
app01-10205	89	2	=	=	SYM
app01-10205	89	3	[	[	PUNCT
app01-10205	89	4	e	e	X
app01-10205	89	5	u∗	u∗	PROPN
app01-10205	89	6	]	]	PUNCT
app01-10205	89	7	,	,	PUNCT
app01-10205	89	8	(	(	PUNCT
app01-10205	89	9	22	22	NUM
app01-10205	89	10	)	)	PUNCT
app01-10205	89	11	then	then	ADV
app01-10205	89	12	we	we	PRON
app01-10205	89	13	can	can	AUX
app01-10205	89	14	express	express	VERB
app01-10205	89	15	degrees	degree	NOUN
app01-10205	89	16	of	of	ADP
app01-10205	89	17	freedom	freedom	NOUN
app01-10205	89	18	of	of	ADP
app01-10205	89	19	our	our	PRON
app01-10205	89	20	discrete	discrete	ADJ
app01-10205	89	21	beam	beam	NOUN
app01-10205	89	22	model	model	NOUN
app01-10205	89	23	as	as	ADP
app01-10205	89	24	:	:	PUNCT
app01-10205	89	25	u	u	NOUN
app01-10205	89	26	=	=	PUNCT
app01-10205	89	27	[	[	PUNCT
app01-10205	89	28	qe	qe	X
app01-10205	89	29	i	i	X
app01-10205	89	30	]	]	PUNCT
app01-10205	90	1	[	[	PUNCT
app01-10205	90	2	e	e	X
app01-10205	90	3	u∗	u∗	ADV
app01-10205	90	4	]	]	PUNCT
app01-10205	91	1	=	=	PUNCT
app01-10205	91	2	q	q	X
app01-10205	92	1	û	û	NUM
app01-10205	92	2	,	,	PUNCT
app01-10205	92	3	(	(	PUNCT
app01-10205	92	4	23	23	NUM
app01-10205	92	5	)	)	PUNCT
app01-10205	92	6	where	where	SCONJ
app01-10205	92	7	i	i	PRON
app01-10205	92	8	is	be	AUX
app01-10205	92	9	the	the	DET
app01-10205	92	10	square	square	ADJ
app01-10205	92	11	identity	identity	NOUN
app01-10205	92	12	matrix	matrix	NOUN
app01-10205	92	13	and	and	CCONJ
app01-10205	92	14	qe	qe	PROPN
app01-10205	92	15	is	be	AUX
app01-10205	92	16	composed	compose	VERB
app01-10205	92	17	of	of	ADP
app01-10205	92	18	the	the	DET
app01-10205	92	19	blocks	block	NOUN
app01-10205	93	1	qe	qe	INTJ
app01-10205	93	2	i	i	PRON
app01-10205	93	3	corresponding	correspond	VERB
app01-10205	93	4	to	to	ADP
app01-10205	93	5	the	the	DET
app01-10205	93	6	expression	expression	NOUN
app01-10205	93	7	(	(	PUNCT
app01-10205	93	8	20	20	NUM
app01-10205	93	9	)	)	PUNCT
app01-10205	93	10	.	.	PUNCT
app01-10205	94	1	4.2	4.2	NUM
app01-10205	94	2	.	.	PUNCT
app01-10205	95	1	periodic	periodic	ADJ
app01-10205	95	2	boundary	boundary	ADJ
app01-10205	95	3	conditions	condition	NOUN
app01-10205	95	4	to	to	PART
app01-10205	95	5	satisfy	satisfy	VERB
app01-10205	95	6	the	the	DET
app01-10205	95	7	constraint	constraint	NOUN
app01-10205	95	8	(	(	PUNCT
app01-10205	95	9	19	19	NUM
app01-10205	95	10	)	)	PUNCT
app01-10205	95	11	,	,	PUNCT
app01-10205	95	12	we	we	PRON
app01-10205	95	13	introduce	introduce	VERB
app01-10205	95	14	periodic	periodic	ADJ
app01-10205	95	15	boundary	boundary	ADJ
app01-10205	95	16	conditions	condition	NOUN
app01-10205	95	17	(	(	PUNCT
app01-10205	95	18	pbc	pbc	PROPN
app01-10205	95	19	)	)	PUNCT
app01-10205	95	20	,	,	PUNCT
app01-10205	95	21	which	which	PRON
app01-10205	95	22	is	be	AUX
app01-10205	95	23	a	a	DET
app01-10205	95	24	natural	natural	ADJ
app01-10205	95	25	model	model	NOUN
app01-10205	95	26	assumption	assumption	NOUN
app01-10205	95	27	for	for	ADP
app01-10205	95	28	materials	material	NOUN
app01-10205	95	29	with	with	ADP
app01-10205	95	30	periodic	periodic	ADJ
app01-10205	95	31	microstructures	microstructure	NOUN
app01-10205	95	32	.	.	PUNCT
app01-10205	96	1	let	let	VERB
app01-10205	96	2	’s	’s	NOUN
app01-10205	96	3	denote	denote	VERB
app01-10205	96	4	π(x	π(x	ADP
app01-10205	96	5	)	)	PUNCT
app01-10205	96	6	the	the	DET
app01-10205	96	7	mapping	mapping	NOUN
app01-10205	96	8	from	from	ADP
app01-10205	96	9	the	the	DET
app01-10205	96	10	source	source	NOUN
app01-10205	96	11	part	part	NOUN
app01-10205	96	12	γs	γs	NOUN
app01-10205	96	13	of	of	ADP
app01-10205	96	14	the	the	DET
app01-10205	96	15	boundary	boundary	ADJ
app01-10205	96	16	γ	γ	NOUN
app01-10205	96	17	onto	onto	ADP
app01-10205	96	18	its	its	PRON
app01-10205	96	19	periodic	periodic	ADJ
app01-10205	96	20	image	image	NOUN
app01-10205	96	21	.	.	PUNCT
app01-10205	97	1	the	the	DET
app01-10205	97	2	fluctuation	fluctuation	NOUN
app01-10205	97	3	dofs	dof	NOUN
app01-10205	97	4	at	at	ADP
app01-10205	97	5	a	a	DET
app01-10205	97	6	periodic	periodic	ADJ
app01-10205	97	7	point	point	NOUN
app01-10205	97	8	,	,	PUNCT
app01-10205	97	9	denoted	denote	VERB
app01-10205	97	10	as	as	ADP
app01-10205	97	11	u∗(π(x	u∗(π(x	PROPN
app01-10205	97	12	)	)	PUNCT
app01-10205	97	13	)	)	PUNCT
app01-10205	97	14	,	,	PUNCT
app01-10205	97	15	are	be	AUX
app01-10205	97	16	then	then	ADV
app01-10205	97	17	equivalent	equivalent	ADJ
app01-10205	97	18	to	to	ADP
app01-10205	97	19	the	the	DET
app01-10205	97	20	corresponding	correspond	VERB
app01-10205	97	21	dofs	dof	NOUN
app01-10205	97	22	u∗(x	u∗(x	NOUN
app01-10205	97	23	)	)	PUNCT
app01-10205	97	24	at	at	ADP
app01-10205	97	25	the	the	DET
app01-10205	97	26	boundary	boundary	NOUN
app01-10205	97	27	of	of	ADP
app01-10205	97	28	the	the	DET
app01-10205	97	29	unit	unit	NOUN
app01-10205	97	30	cell	cell	NOUN
app01-10205	97	31	γs	γs	VERB
app01-10205	97	32	:	:	PUNCT
app01-10205	97	33	u∗(π(x	u∗(π(x	NUM
app01-10205	97	34	)	)	PUNCT
app01-10205	97	35	)	)	PUNCT
app01-10205	98	1	=	=	SYM
app01-10205	98	2	u∗(x	u∗(x	PROPN
app01-10205	98	3	)	)	PUNCT
app01-10205	98	4	∀	∀	X
app01-10205	98	5	x	x	SYM
app01-10205	98	6	∈	∈	NOUN
app01-10205	98	7	γs	γ	VERB
app01-10205	98	8	.	.	PUNCT
app01-10205	99	1	(	(	PUNCT
app01-10205	99	2	24	24	NUM
app01-10205	99	3	)	)	PUNCT
app01-10205	99	4	to	to	ADP
app01-10205	99	5	this	this	DET
app01-10205	99	6	end	end	NOUN
app01-10205	99	7	,	,	PUNCT
app01-10205	99	8	we	we	PRON
app01-10205	99	9	established	establish	VERB
app01-10205	99	10	a	a	DET
app01-10205	99	11	new	new	ADJ
app01-10205	99	12	vector	vector	NOUN
app01-10205	99	13	a	a	NOUN
app01-10205	99	14	,	,	PUNCT
app01-10205	99	15	containing	contain	VERB
app01-10205	99	16	unknown	unknown	ADJ
app01-10205	99	17	periodic	periodic	ADJ
app01-10205	99	18	fluctuation	fluctuation	NOUN
app01-10205	99	19	dofs	dof	NOUN
app01-10205	99	20	,	,	PUNCT
app01-10205	99	21	which	which	PRON
app01-10205	99	22	maps	map	VERB
app01-10205	99	23	to	to	PART
app01-10205	99	24	u∗	u∗	VERB
app01-10205	99	25	through	through	ADP
app01-10205	99	26	the	the	DET
app01-10205	99	27	boolean	boolean	ADJ
app01-10205	99	28	matrix	matrix	NOUN
app01-10205	99	29	p∗	p∗	NOUN
app01-10205	99	30	:	:	PUNCT
app01-10205	99	31	u∗	u∗	PROPN
app01-10205	99	32	=	=	PUNCT
app01-10205	99	33	p∗a	p∗a	X
app01-10205	99	34	.	.	PUNCT
app01-10205	100	1	(	(	PUNCT
app01-10205	100	2	25	25	NUM
app01-10205	100	3	)	)	PUNCT
app01-10205	100	4	this	this	DET
app01-10205	100	5	step	step	NOUN
app01-10205	100	6	significantly	significantly	ADV
app01-10205	100	7	reduces	reduce	VERB
app01-10205	100	8	the	the	DET
app01-10205	100	9	number	number	NOUN
app01-10205	100	10	of	of	ADP
app01-10205	100	11	unknowns	unknown	NOUN
app01-10205	100	12	in	in	ADP
app01-10205	100	13	our	our	PRON
app01-10205	100	14	equations	equation	NOUN
app01-10205	100	15	.	.	PUNCT
app01-10205	101	1	to	to	PART
app01-10205	101	2	prevent	prevent	VERB
app01-10205	101	3	the	the	DET
app01-10205	101	4	puc	puc	NOUN
app01-10205	101	5	from	from	ADP
app01-10205	101	6	moving	move	VERB
app01-10205	101	7	as	as	ADP
app01-10205	101	8	a	a	DET
app01-10205	101	9	whole	whole	ADJ
app01-10205	101	10	unit	unit	NOUN
app01-10205	101	11	during	during	ADP
app01-10205	101	12	deformation	deformation	NOUN
app01-10205	101	13	,	,	PUNCT
app01-10205	101	14	we	we	PRON
app01-10205	101	15	prescribe	prescribe	VERB
app01-10205	101	16	zero	zero	NUM
app01-10205	101	17	fluctuation	fluctuation	NOUN
app01-10205	101	18	displacements	displacement	NOUN
app01-10205	101	19	at	at	ADP
app01-10205	101	20	the	the	DET
app01-10205	101	21	node	node	NOUN
app01-10205	101	22	in	in	ADP
app01-10205	101	23	the	the	DET
app01-10205	101	24	centre	centre	NOUN
app01-10205	101	25	of	of	ADP
app01-10205	101	26	the	the	DET
app01-10205	101	27	top	top	ADJ
app01-10205	101	28	edge	edge	NOUN
app01-10205	101	29	of	of	ADP
app01-10205	101	30	the	the	DET
app01-10205	101	31	puc	puc	NOUN
app01-10205	101	32	,	,	PUNCT
app01-10205	101	33	illustrated	illustrate	VERB
app01-10205	101	34	with	with	ADP
app01-10205	101	35	a	a	DET
app01-10205	101	36	black	black	ADJ
app01-10205	101	37	node	node	NOUN
app01-10205	101	38	in	in	ADP
app01-10205	101	39	figure	figure	NOUN
app01-10205	101	40	3	3	NUM
app01-10205	101	41	,	,	PUNCT
app01-10205	101	42	while	while	SCONJ
app01-10205	101	43	rotations	rotation	NOUN
app01-10205	101	44	remain	remain	VERB
app01-10205	101	45	free	free	ADJ
app01-10205	101	46	.	.	PUNCT
app01-10205	102	1	due	due	ADP
app01-10205	102	2	to	to	ADP
app01-10205	102	3	the	the	DET
app01-10205	102	4	periodicity	periodicity	NOUN
app01-10205	102	5	,	,	PUNCT
app01-10205	102	6	the	the	DET
app01-10205	102	7	fluctuation	fluctuation	NOUN
app01-10205	102	8	displacements	displacement	NOUN
app01-10205	102	9	must	must	AUX
app01-10205	102	10	also	also	ADV
app01-10205	102	11	vanish	vanish	VERB
app01-10205	102	12	at	at	ADP
app01-10205	102	13	the	the	DET
app01-10205	102	14	node	node	NOUN
app01-10205	102	15	in	in	ADP
app01-10205	102	16	the	the	DET
app01-10205	102	17	centre	centre	NOUN
app01-10205	102	18	of	of	ADP
app01-10205	102	19	the	the	DET
app01-10205	102	20	bottom	bottom	ADJ
app01-10205	102	21	face	face	NOUN
app01-10205	102	22	of	of	ADP
app01-10205	102	23	the	the	DET
app01-10205	102	24	puc	puc	PROPN
app01-10205	102	25	.	.	PUNCT
app01-10205	102	26	figure	figure	NOUN
app01-10205	102	27	3	3	NUM
app01-10205	102	28	.	.	PUNCT
app01-10205	102	29	fixed	fix	VERB
app01-10205	102	30	fluctuation	fluctuation	NOUN
app01-10205	102	31	displacements	displacement	NOUN
app01-10205	102	32	at	at	ADP
app01-10205	102	33	nodes	node	NOUN
app01-10205	102	34	in	in	ADP
app01-10205	102	35	the	the	DET
app01-10205	102	36	centre	centre	NOUN
app01-10205	102	37	of	of	ADP
app01-10205	102	38	the	the	DET
app01-10205	102	39	top	top	ADJ
app01-10205	102	40	and	and	CCONJ
app01-10205	102	41	bottom	bottom	ADJ
app01-10205	102	42	face	face	NOUN
app01-10205	102	43	of	of	ADP
app01-10205	102	44	the	the	DET
app01-10205	102	45	puc	puc	NOUN
app01-10205	102	46	,	,	PUNCT
app01-10205	102	47	marked	mark	VERB
app01-10205	102	48	down	down	ADP
app01-10205	102	49	with	with	ADP
app01-10205	102	50	the	the	DET
app01-10205	102	51	black	black	ADJ
app01-10205	102	52	dots	dot	NOUN
app01-10205	102	53	.	.	PUNCT
app01-10205	103	1	similarly	similarly	ADV
app01-10205	103	2	to	to	ADP
app01-10205	103	3	equation	equation	NOUN
app01-10205	103	4	(	(	PUNCT
app01-10205	103	5	23	23	NUM
app01-10205	103	6	)	)	PUNCT
app01-10205	103	7	,	,	PUNCT
app01-10205	103	8	the	the	DET
app01-10205	103	9	matrix	matrix	NOUN
app01-10205	103	10	p̂	p̂	NOUN
app01-10205	103	11	connects	connect	VERB
app01-10205	103	12	the	the	DET
app01-10205	103	13	macroscopic	macroscopic	ADJ
app01-10205	103	14	deformation	deformation	NOUN
app01-10205	103	15	e	e	NOUN
app01-10205	103	16	and	and	CCONJ
app01-10205	103	17	the	the	DET
app01-10205	103	18	fluctuation	fluctuation	NOUN
app01-10205	103	19	unknowns	unknown	VERB
app01-10205	103	20	a	a	PRON
app01-10205	103	21	,	,	PUNCT
app01-10205	103	22	to	to	ADP
app01-10205	103	23	the	the	DET
app01-10205	103	24	extended	extended	ADJ
app01-10205	103	25	dofs	dof	NOUN
app01-10205	103	26	û	û	NUM
app01-10205	103	27	:	:	PUNCT
app01-10205	103	28	û	û	NUM
app01-10205	103	29	=	=	SYM
app01-10205	103	30	[	[	PUNCT
app01-10205	103	31	e	e	X
app01-10205	103	32	u∗	u∗	ADV
app01-10205	103	33	]	]	PUNCT
app01-10205	104	1	=	=	PUNCT
app01-10205	104	2	[	[	PUNCT
app01-10205	104	3	i	i	PRON
app01-10205	104	4	p∗	p∗	VERB
app01-10205	104	5	]	]	X
app01-10205	104	6	[	[	PUNCT
app01-10205	104	7	e	e	X
app01-10205	104	8	a	a	X
app01-10205	104	9	]	]	X
app01-10205	104	10	=	=	SYM
app01-10205	104	11	p̂	p̂	X
app01-10205	104	12	â.	â.	NOUN
app01-10205	104	13	(	(	PUNCT
app01-10205	104	14	26	26	NUM
app01-10205	104	15	)	)	PUNCT
app01-10205	104	16	by	by	ADP
app01-10205	104	17	connecting	connect	VERB
app01-10205	104	18	the	the	DET
app01-10205	104	19	macroscopic	macroscopic	ADJ
app01-10205	104	20	and	and	CCONJ
app01-10205	104	21	fluctuation	fluctuation	NOUN
app01-10205	104	22	parts	part	NOUN
app01-10205	104	23	of	of	ADP
app01-10205	104	24	the	the	DET
app01-10205	104	25	displacement	displacement	ADJ
app01-10205	104	26	field	field	NOUN
app01-10205	104	27	from	from	ADP
app01-10205	104	28	equation	equation	NOUN
app01-10205	104	29	(	(	PUNCT
app01-10205	104	30	26	26	NUM
app01-10205	104	31	)	)	PUNCT
app01-10205	104	32	and	and	CCONJ
app01-10205	104	33	considering	consider	VERB
app01-10205	104	34	equation	equation	NOUN
app01-10205	104	35	(	(	PUNCT
app01-10205	104	36	23	23	NUM
app01-10205	104	37	)	)	PUNCT
app01-10205	104	38	we	we	PRON
app01-10205	104	39	get	get	VERB
app01-10205	104	40	an	an	DET
app01-10205	104	41	expression	expression	NOUN
app01-10205	104	42	for	for	ADP
app01-10205	104	43	full	full	ADJ
app01-10205	104	44	-	-	PUNCT
app01-10205	104	45	field	field	NOUN
app01-10205	104	46	displacement	displacement	NOUN
app01-10205	104	47	dofs	dof	NOUN
app01-10205	104	48	u	u	NOUN
app01-10205	104	49	based	base	VERB
app01-10205	104	50	on	on	ADP
app01-10205	104	51	unknown	unknown	ADJ
app01-10205	104	52	â	â	ADJ
app01-10205	104	53	:	:	PUNCT
app01-10205	104	54	u	u	SYM
app01-10205	104	55	=	=	PROPN
app01-10205	104	56	qp̂	qp̂	PROPN
app01-10205	104	57	â.	â.	PROPN
app01-10205	104	58	(	(	PUNCT
app01-10205	104	59	27	27	NUM
app01-10205	104	60	)	)	PUNCT
app01-10205	104	61	4.3	4.3	NUM
app01-10205	104	62	.	.	PUNCT
app01-10205	105	1	energy	energy	NOUN
app01-10205	105	2	minimisation	minimisation	NOUN
app01-10205	105	3	for	for	ADP
app01-10205	105	4	every	every	DET
app01-10205	105	5	macroscopic	macroscopic	ADJ
app01-10205	105	6	deformation	deformation	NOUN
app01-10205	105	7	e	e	NOUN
app01-10205	105	8	,	,	PUNCT
app01-10205	105	9	there	there	PRON
app01-10205	105	10	is	be	VERB
app01-10205	105	11	a	a	DET
app01-10205	105	12	certain	certain	ADJ
app01-10205	105	13	state	state	NOUN
app01-10205	105	14	into	into	ADP
app01-10205	105	15	which	which	PRON
app01-10205	105	16	the	the	DET
app01-10205	105	17	cell	cell	NOUN
app01-10205	105	18	deforms	deform	VERB
app01-10205	105	19	,	,	PUNCT
app01-10205	105	20	because	because	SCONJ
app01-10205	105	21	it	it	PRON
app01-10205	105	22	naturally	naturally	ADV
app01-10205	105	23	attempts	attempt	VERB
app01-10205	105	24	to	to	PART
app01-10205	105	25	reach	reach	VERB
app01-10205	105	26	the	the	DET
app01-10205	105	27	state	state	NOUN
app01-10205	105	28	with	with	ADP
app01-10205	105	29	the	the	DET
app01-10205	105	30	lowest	low	ADJ
app01-10205	105	31	energy	energy	NOUN
app01-10205	105	32	.	.	PUNCT
app01-10205	106	1	the	the	DET
app01-10205	106	2	energy	energy	NOUN
app01-10205	106	3	e	e	NOUN
app01-10205	106	4	of	of	ADP
app01-10205	106	5	a	a	DET
app01-10205	106	6	discrete	discrete	ADJ
app01-10205	106	7	beam	beam	NOUN
app01-10205	106	8	model	model	NOUN
app01-10205	106	9	,	,	PUNCT
app01-10205	106	10	which	which	PRON
app01-10205	106	11	represents	represent	VERB
app01-10205	106	12	our	our	PRON
app01-10205	106	13	puc	puc	NOUN
app01-10205	106	14	composed	compose	VERB
app01-10205	106	15	of	of	ADP
app01-10205	106	16	beams	beam	NOUN
app01-10205	106	17	and	and	CCONJ
app01-10205	106	18	nodes	node	NOUN
app01-10205	106	19	,	,	PUNCT
app01-10205	106	20	can	can	AUX
app01-10205	106	21	be	be	AUX
app01-10205	106	22	written	write	VERB
app01-10205	106	23	as	as	ADP
app01-10205	106	24	:	:	PUNCT
app01-10205	106	25	e	e	NOUN
app01-10205	106	26	=	=	SYM
app01-10205	106	27	1	1	NUM
app01-10205	106	28	2utku	2utku	NUM
app01-10205	106	29	.	.	PUNCT
app01-10205	107	1	(	(	PUNCT
app01-10205	107	2	28	28	NUM
app01-10205	107	3	)	)	PUNCT
app01-10205	107	4	similarly	similarly	ADV
app01-10205	107	5	,	,	PUNCT
app01-10205	107	6	for	for	ADP
app01-10205	107	7	a	a	DET
app01-10205	107	8	linear	linear	ADJ
app01-10205	107	9	elastic	elastic	ADJ
app01-10205	107	10	material	material	NOUN
app01-10205	107	11	of	of	ADP
app01-10205	107	12	volume	volume	NOUN
app01-10205	107	13	v	v	NOUN
app01-10205	107	14	that	that	PRON
app01-10205	107	15	is	be	AUX
app01-10205	107	16	subjected	subject	VERB
app01-10205	107	17	to	to	ADP
app01-10205	107	18	a	a	DET
app01-10205	107	19	uniform	uniform	ADJ
app01-10205	107	20	deformation	deformation	NOUN
app01-10205	107	21	e	e	NOUN
app01-10205	107	22	at	at	ADP
app01-10205	107	23	the	the	DET
app01-10205	107	24	macroscopic	macroscopic	ADJ
app01-10205	107	25	level	level	NOUN
app01-10205	107	26	,	,	PUNCT
app01-10205	107	27	the	the	DET
app01-10205	107	28	relation	relation	NOUN
app01-10205	107	29	for	for	ADP
app01-10205	107	30	the	the	DET
app01-10205	107	31	energy	energy	NOUN
app01-10205	107	32	can	can	AUX
app01-10205	107	33	be	be	AUX
app01-10205	107	34	expressed	express	VERB
app01-10205	107	35	as	as	ADP
app01-10205	107	36	:	:	PUNCT
app01-10205	107	37	em	em	PRON
app01-10205	107	38	=	=	SYM
app01-10205	107	39	v	v	ADP
app01-10205	107	40	1	1	NUM
app01-10205	107	41	2etdhome	2etdhome	NUM
app01-10205	107	42	,	,	PUNCT
app01-10205	107	43	(	(	PUNCT
app01-10205	107	44	29	29	NUM
app01-10205	107	45	)	)	PUNCT
app01-10205	107	46	where	where	SCONJ
app01-10205	107	47	dhom	dhom	NOUN
app01-10205	107	48	is	be	AUX
app01-10205	107	49	the	the	DET
app01-10205	107	50	material	material	ADJ
app01-10205	107	51	stiffness	stiffness	NOUN
app01-10205	107	52	matrix	matrix	NOUN
app01-10205	107	53	of	of	ADP
app01-10205	107	54	the	the	DET
app01-10205	107	55	desired	desire	VERB
app01-10205	107	56	homogenised	homogenise	VERB
app01-10205	107	57	metamaterial	metamaterial	ADJ
app01-10205	107	58	and	and	CCONJ
app01-10205	107	59	vector	vector	NOUN
app01-10205	107	60	e	e	NOUN
app01-10205	107	61	contains	contain	VERB
app01-10205	107	62	the	the	DET
app01-10205	107	63	individual	individual	ADJ
app01-10205	107	64	macroscopic	macroscopic	ADJ
app01-10205	107	65	components	component	NOUN
app01-10205	107	66	of	of	ADP
app01-10205	107	67	the	the	DET
app01-10205	107	68	deformation	deformation	NOUN
app01-10205	107	69	tensor	tensor	NOUN
app01-10205	107	70	in	in	ADP
app01-10205	107	71	the	the	DET
app01-10205	107	72	vectorial	vectorial	ADJ
app01-10205	107	73	form	form	NOUN
app01-10205	107	74	introduced	introduce	VERB
app01-10205	107	75	in	in	ADP
app01-10205	107	76	equation	equation	NOUN
app01-10205	107	77	(	(	PUNCT
app01-10205	107	78	21	21	NUM
app01-10205	107	79	)	)	PUNCT
app01-10205	107	80	.	.	PUNCT
app01-10205	108	1	plugging	plug	VERB
app01-10205	108	2	the	the	DET
app01-10205	108	3	unknowns	unknown	NOUN
app01-10205	108	4	from	from	ADP
app01-10205	108	5	equation	equation	NOUN
app01-10205	108	6	(	(	PUNCT
app01-10205	108	7	27	27	NUM
app01-10205	108	8	)	)	PUNCT
app01-10205	108	9	into	into	ADP
app01-10205	108	10	equation	equation	NOUN
app01-10205	108	11	(	(	PUNCT
app01-10205	108	12	28	28	NUM
app01-10205	108	13	)	)	PUNCT
app01-10205	108	14	yields	yield	VERB
app01-10205	108	15	an	an	DET
app01-10205	108	16	expression	expression	NOUN
app01-10205	108	17	for	for	ADP
app01-10205	108	18	puc	puc	NOUN
app01-10205	108	19	’s	’s	PART
app01-10205	108	20	energy	energy	NOUN
app01-10205	108	21	based	base	VERB
app01-10205	108	22	on	on	ADP
app01-10205	108	23	macroscopic	macroscopic	ADJ
app01-10205	108	24	deformations	deformation	NOUN
app01-10205	108	25	e	e	NOUN
app01-10205	108	26	and	and	CCONJ
app01-10205	108	27	fluctuation	fluctuation	NOUN
app01-10205	108	28	unknowns	unknown	VERB
app01-10205	108	29	a	a	DET
app01-10205	108	30	:	:	PUNCT
app01-10205	108	31	e(e	e(e	NOUN
app01-10205	108	32	,	,	PUNCT
app01-10205	108	33	a	a	PRON
app01-10205	108	34	)	)	PUNCT
app01-10205	108	35	=	=	SYM
app01-10205	108	36	1	1	NUM
app01-10205	108	37	2	2	NUM
app01-10205	108	38	[	[	PUNCT
app01-10205	108	39	e	e	X
app01-10205	108	40	a	a	DET
app01-10205	108	41	]	]	X
app01-10205	108	42	t	t	X
app01-10205	108	43	[	[	PUNCT
app01-10205	108	44	k̂ee	k̂ee	PROPN
app01-10205	108	45	k̂ea	k̂ea	PROPN
app01-10205	108	46	k̂ae	k̂ae	PROPN
app01-10205	108	47	k̂aa	k̂aa	ADJ
app01-10205	108	48	]	]	PUNCT
app01-10205	108	49	[	[	PUNCT
app01-10205	108	50	e	e	X
app01-10205	108	51	a	a	X
app01-10205	108	52	]	]	X
app01-10205	108	53	=	=	SYM
app01-10205	108	54	1	1	NUM
app01-10205	108	55	2	2	NUM
app01-10205	108	56	âtk̂	âtk̂	PROPN
app01-10205	108	57	â	â	ADP
app01-10205	108	58	,	,	PUNCT
app01-10205	108	59	(	(	PUNCT
app01-10205	108	60	30	30	NUM
app01-10205	108	61	)	)	PUNCT
app01-10205	108	62	where	where	SCONJ
app01-10205	108	63	stiffness	stiffness	ADJ
app01-10205	108	64	matrix	matrix	NOUN
app01-10205	108	65	k̂	k̂	NUM
app01-10205	108	66	,	,	PUNCT
app01-10205	108	67	and	and	CCONJ
app01-10205	108	68	its	its	PRON
app01-10205	108	69	four	four	NUM
app01-10205	108	70	submatrices	submatrice	NOUN
app01-10205	108	71	k̂ij	k̂ij	NOUN
app01-10205	108	72	pertinent	pertinent	ADJ
app01-10205	108	73	to	to	ADP
app01-10205	108	74	e	e	PROPN
app01-10205	108	75	and	and	CCONJ
app01-10205	108	76	a	a	PRON
app01-10205	108	77	,	,	PUNCT
app01-10205	108	78	follow	follow	VERB
app01-10205	108	79	from	from	ADP
app01-10205	108	80	:	:	PUNCT
app01-10205	108	81	k̂	k̂	PROPN
app01-10205	108	82	=	=	PUNCT
app01-10205	108	83	p̂tqtk	p̂tqtk	PROPN
app01-10205	108	84	q	q	PROPN
app01-10205	108	85	p̂.	p̂.	PROPN
app01-10205	108	86	(	(	PUNCT
app01-10205	108	87	31	31	NUM
app01-10205	108	88	)	)	PUNCT
app01-10205	108	89	23	23	NUM
app01-10205	108	90	nataša	nataša	ADJ
app01-10205	108	91	jošková	jošková	PROPN
app01-10205	108	92	,	,	PUNCT
app01-10205	108	93	martin	martin	PROPN
app01-10205	108	94	doškář	doškář	PROPN
app01-10205	108	95	acta	acta	PROPN
app01-10205	108	96	polytechnica	polytechnica	PROPN
app01-10205	108	97	ctu	ctu	NOUN
app01-10205	108	98	proceedings	proceeding	NOUN
app01-10205	108	99	since	since	SCONJ
app01-10205	108	100	we	we	PRON
app01-10205	108	101	are	be	AUX
app01-10205	108	102	interested	interested	ADJ
app01-10205	108	103	in	in	ADP
app01-10205	108	104	the	the	DET
app01-10205	108	105	response	response	NOUN
app01-10205	108	106	of	of	ADP
app01-10205	108	107	the	the	DET
app01-10205	108	108	homogenised	homogenised	ADJ
app01-10205	108	109	puc	puc	NOUN
app01-10205	108	110	to	to	ADP
app01-10205	108	111	a	a	DET
app01-10205	108	112	prescribed	prescribe	VERB
app01-10205	108	113	macroscopic	macroscopic	ADJ
app01-10205	108	114	deformation	deformation	NOUN
app01-10205	108	115	e	e	NOUN
app01-10205	108	116	and	and	CCONJ
app01-10205	108	117	not	not	PART
app01-10205	108	118	in	in	ADP
app01-10205	108	119	displacement	displacement	NOUN
app01-10205	108	120	of	of	ADP
app01-10205	108	121	its	its	PRON
app01-10205	108	122	individual	individual	ADJ
app01-10205	108	123	nodes	node	NOUN
app01-10205	108	124	,	,	PUNCT
app01-10205	108	125	we	we	PRON
app01-10205	108	126	express	express	VERB
app01-10205	108	127	a	a	PRON
app01-10205	108	128	with	with	ADP
app01-10205	108	129	respect	respect	NOUN
app01-10205	108	130	to	to	ADP
app01-10205	108	131	the	the	DET
app01-10205	108	132	macroscopic	macroscopic	ADJ
app01-10205	108	133	deformation	deformation	NOUN
app01-10205	108	134	e	e	NOUN
app01-10205	108	135	of	of	ADP
app01-10205	108	136	the	the	DET
app01-10205	108	137	cell	cell	NOUN
app01-10205	108	138	.	.	PUNCT
app01-10205	109	1	to	to	ADP
app01-10205	109	2	this	this	DET
app01-10205	109	3	end	end	NOUN
app01-10205	109	4	,	,	PUNCT
app01-10205	109	5	we	we	PRON
app01-10205	109	6	keep	keep	VERB
app01-10205	109	7	the	the	DET
app01-10205	109	8	macroscopic	macroscopic	ADJ
app01-10205	109	9	deformation	deformation	NOUN
app01-10205	109	10	e	e	NOUN
app01-10205	109	11	fixed	fix	VERB
app01-10205	109	12	and	and	CCONJ
app01-10205	109	13	determine	determine	VERB
app01-10205	109	14	the	the	DET
app01-10205	109	15	fluctuation	fluctuation	NOUN
app01-10205	109	16	displacements	displacement	NOUN
app01-10205	109	17	a	a	PRON
app01-10205	109	18	as	as	ADP
app01-10205	109	19	the	the	DET
app01-10205	109	20	solution	solution	NOUN
app01-10205	109	21	ã(e	ã(e	NOUN
app01-10205	109	22	)	)	PUNCT
app01-10205	109	23	that	that	PRON
app01-10205	109	24	minimizes	minimize	VERB
app01-10205	109	25	the	the	DET
app01-10205	109	26	energy	energy	NOUN
app01-10205	109	27	e(e	e(e	NOUN
app01-10205	109	28	,	,	PUNCT
app01-10205	109	29	a	a	PRON
app01-10205	109	30	)	)	PUNCT
app01-10205	109	31	for	for	ADP
app01-10205	109	32	the	the	DET
app01-10205	109	33	given	give	VERB
app01-10205	109	34	deformation	deformation	NOUN
app01-10205	109	35	e	e	NOUN
app01-10205	109	36	as	as	ADP
app01-10205	109	37	:	:	PUNCT
app01-10205	109	38	ã(e	ã(e	ADJ
app01-10205	109	39	)	)	PUNCT
app01-10205	109	40	=	=	NOUN
app01-10205	109	41	argmin	argmin	NOUN
app01-10205	109	42	a∈rn	a∈rn	NOUN
app01-10205	109	43	1	1	NUM
app01-10205	109	44	2(etk̂eee	2(etk̂eee	NOUN
app01-10205	110	1	+	+	NUM
app01-10205	110	2	etk̂eaa	etk̂eaa	NOUN
app01-10205	111	1	+	+	CCONJ
app01-10205	111	2	atk̂aee	atk̂aee	VERB
app01-10205	111	3	+	+	CCONJ
app01-10205	111	4	atk̂aaa	atk̂aaa	NOUN
app01-10205	111	5	)	)	PUNCT
app01-10205	111	6	,	,	PUNCT
app01-10205	111	7	(	(	PUNCT
app01-10205	111	8	32	32	NUM
app01-10205	111	9	)	)	PUNCT
app01-10205	111	10	where	where	SCONJ
app01-10205	111	11	n	n	PRON
app01-10205	111	12	represents	represent	VERB
app01-10205	111	13	the	the	DET
app01-10205	111	14	number	number	NOUN
app01-10205	111	15	of	of	ADP
app01-10205	111	16	unknown	unknown	ADJ
app01-10205	111	17	fluctuation	fluctuation	NOUN
app01-10205	111	18	dofs	dof	NOUN
app01-10205	111	19	.	.	PUNCT
app01-10205	112	1	as	as	ADP
app01-10205	112	2	a	a	DET
app01-10205	112	3	result	result	NOUN
app01-10205	112	4	of	of	ADP
app01-10205	112	5	the	the	DET
app01-10205	112	6	matrix	matrix	NOUN
app01-10205	112	7	k̂	k̂	NOUN
app01-10205	112	8	being	be	AUX
app01-10205	112	9	both	both	CCONJ
app01-10205	112	10	symmetric	symmetric	ADJ
app01-10205	112	11	and	and	CCONJ
app01-10205	112	12	positive	positive	ADJ
app01-10205	112	13	definite	definite	ADJ
app01-10205	112	14	,	,	PUNCT
app01-10205	112	15	the	the	DET
app01-10205	112	16	quadratic	quadratic	ADJ
app01-10205	112	17	form	form	NOUN
app01-10205	112	18	(	(	PUNCT
app01-10205	112	19	30	30	NUM
app01-10205	112	20	)	)	PUNCT
app01-10205	112	21	attains	attain	VERB
app01-10205	112	22	a	a	DET
app01-10205	112	23	global	global	ADJ
app01-10205	112	24	minimum	minimum	NOUN
app01-10205	112	25	at	at	ADP
app01-10205	112	26	the	the	DET
app01-10205	112	27	point	point	NOUN
app01-10205	112	28	of	of	ADP
app01-10205	112	29	its	its	PRON
app01-10205	112	30	zero	zero	NUM
app01-10205	112	31	gradient	gradient	NOUN
app01-10205	112	32	:	:	PUNCT
app01-10205	112	33	∇ae(e	∇ae(e	PROPN
app01-10205	112	34	,	,	PUNCT
app01-10205	112	35	a	a	PRON
app01-10205	112	36	)	)	PUNCT
app01-10205	112	37	∣∣	∣∣	X
app01-10205	112	38	a=̃a(e	a=̃a(e	NOUN
app01-10205	112	39	)	)	PUNCT
app01-10205	112	40	=	=	PUNCT
app01-10205	113	1	kaee	kaee	VERB
app01-10205	113	2	+	+	CCONJ
app01-10205	113	3	kaaã(e	kaaã(e	NUM
app01-10205	113	4	)	)	PUNCT
app01-10205	113	5	=	=	SYM
app01-10205	114	1	0	0	X
app01-10205	114	2	.	.	PUNCT
app01-10205	115	1	(	(	PUNCT
app01-10205	115	2	33	33	NUM
app01-10205	115	3	)	)	PUNCT
app01-10205	115	4	this	this	PRON
app01-10205	115	5	provides	provide	VERB
app01-10205	115	6	us	we	PRON
app01-10205	115	7	with	with	ADP
app01-10205	115	8	the	the	DET
app01-10205	115	9	expression	expression	NOUN
app01-10205	115	10	for	for	ADP
app01-10205	115	11	the	the	DET
app01-10205	115	12	minimizer	minimizer	NOUN
app01-10205	115	13	:	:	PUNCT
app01-10205	115	14	ã(e	ã(e	ADJ
app01-10205	115	15	)	)	PUNCT
app01-10205	115	16	=	=	SYM
app01-10205	115	17	−k−1	−k−1	NUM
app01-10205	115	18	aa	aa	NOUN
app01-10205	115	19	kaee	kaee	PROPN
app01-10205	115	20	.	.	PUNCT
app01-10205	116	1	(	(	PUNCT
app01-10205	116	2	34	34	NUM
app01-10205	116	3	)	)	PUNCT
app01-10205	116	4	substituting	substitute	VERB
app01-10205	116	5	the	the	DET
app01-10205	116	6	expression	expression	NOUN
app01-10205	116	7	above	above	ADV
app01-10205	116	8	into	into	ADP
app01-10205	116	9	equation	equation	NOUN
app01-10205	116	10	(	(	PUNCT
app01-10205	116	11	30	30	NUM
app01-10205	116	12	)	)	PUNCT
app01-10205	116	13	yields	yield	VERB
app01-10205	116	14	an	an	DET
app01-10205	116	15	energy	energy	NOUN
app01-10205	116	16	dependent	dependent	ADJ
app01-10205	116	17	entirely	entirely	ADV
app01-10205	116	18	on	on	ADP
app01-10205	116	19	the	the	DET
app01-10205	116	20	macroscopic	macroscopic	ADJ
app01-10205	116	21	deformations	deformation	NOUN
app01-10205	116	22	e	e	NOUN
app01-10205	116	23	:	:	PUNCT
app01-10205	116	24	ẽ(e	ẽ(e	ADJ
app01-10205	116	25	)	)	PUNCT
app01-10205	116	26	=	=	SYM
app01-10205	116	27	e(e	e(e	NOUN
app01-10205	116	28	,	,	PUNCT
app01-10205	116	29	ã(e	ã(e	NOUN
app01-10205	116	30	)	)	PUNCT
app01-10205	116	31	)	)	PUNCT
app01-10205	116	32	,	,	PUNCT
app01-10205	116	33	(	(	PUNCT
app01-10205	116	34	35	35	NUM
app01-10205	116	35	)	)	PUNCT
app01-10205	116	36	ẽ(e	ẽ(e	NOUN
app01-10205	116	37	)	)	PUNCT
app01-10205	116	38	=	=	SYM
app01-10205	116	39	1	1	NUM
app01-10205	116	40	2	2	NUM
app01-10205	116	41	et(k̂ee	et(k̂ee	ADP
app01-10205	116	42	−	−	NOUN
app01-10205	116	43	k̂eak̂−1	k̂eak̂−1	NOUN
app01-10205	116	44	aa	aa	PROPN
app01-10205	116	45	k̂ae	k̂ae	NOUN
app01-10205	116	46	)	)	PUNCT
app01-10205	116	47	e	e	NOUN
app01-10205	116	48	=	=	SYM
app01-10205	116	49	1	1	NUM
app01-10205	116	50	2	2	NUM
app01-10205	116	51	etkeffe	etkeffe	NOUN
app01-10205	116	52	.	.	PUNCT
app01-10205	117	1	(	(	PUNCT
app01-10205	117	2	36	36	NUM
app01-10205	117	3	)	)	PUNCT
app01-10205	117	4	comparing	compare	VERB
app01-10205	117	5	the	the	DET
app01-10205	117	6	expression	expression	NOUN
app01-10205	117	7	(	(	PUNCT
app01-10205	117	8	36	36	NUM
app01-10205	117	9	)	)	PUNCT
app01-10205	117	10	with	with	ADP
app01-10205	117	11	the	the	DET
app01-10205	117	12	formula	formula	NOUN
app01-10205	117	13	for	for	ADP
app01-10205	117	14	the	the	DET
app01-10205	117	15	energy	energy	NOUN
app01-10205	117	16	of	of	ADP
app01-10205	117	17	a	a	DET
app01-10205	117	18	homogeneous	homogeneous	ADJ
app01-10205	117	19	material	material	NOUN
app01-10205	117	20	of	of	ADP
app01-10205	117	21	volume	volume	NOUN
app01-10205	117	22	v	v	X
app01-10205	117	23	=	=	SYM
app01-10205	117	24	|ω|	|ω|	NUM
app01-10205	117	25	subjected	subject	VERB
app01-10205	117	26	to	to	ADP
app01-10205	117	27	a	a	DET
app01-10205	117	28	constant	constant	ADJ
app01-10205	117	29	deformation	deformation	NOUN
app01-10205	117	30	e	e	NOUN
app01-10205	117	31	in	in	ADP
app01-10205	117	32	the	the	DET
app01-10205	117	33	form	form	NOUN
app01-10205	117	34	in	in	ADP
app01-10205	117	35	equation	equation	NOUN
app01-10205	117	36	(	(	PUNCT
app01-10205	117	37	29	29	NUM
app01-10205	117	38	)	)	PUNCT
app01-10205	117	39	,	,	PUNCT
app01-10205	117	40	we	we	PRON
app01-10205	117	41	arrive	arrive	VERB
app01-10205	117	42	at	at	ADP
app01-10205	117	43	the	the	DET
app01-10205	117	44	relation	relation	NOUN
app01-10205	117	45	for	for	ADP
app01-10205	117	46	the	the	DET
app01-10205	117	47	homogenised	homogenised	ADJ
app01-10205	117	48	material	material	NOUN
app01-10205	117	49	stiffness	stiffness	NOUN
app01-10205	117	50	of	of	ADP
app01-10205	117	51	the	the	DET
app01-10205	117	52	auxetic	auxetic	ADJ
app01-10205	117	53	metamaterial	metamaterial	NOUN
app01-10205	117	54	as	as	ADP
app01-10205	117	55	:	:	PUNCT
app01-10205	117	56	dhom	dhom	X
app01-10205	117	57	=	=	SYM
app01-10205	117	58	1	1	NUM
app01-10205	117	59	v	v	NOUN
app01-10205	117	60	keff	keff	NOUN
app01-10205	117	61	.	.	PUNCT
app01-10205	118	1	(	(	PUNCT
app01-10205	118	2	37	37	NUM
app01-10205	118	3	)	)	PUNCT
app01-10205	118	4	4.4	4.4	NUM
app01-10205	118	5	.	.	PUNCT
app01-10205	119	1	effective	effective	ADJ
app01-10205	119	2	poisson	poisson	NOUN
app01-10205	119	3	’s	’s	PART
app01-10205	119	4	ratio	ratio	NOUN
app01-10205	119	5	the	the	DET
app01-10205	119	6	procedure	procedure	NOUN
app01-10205	119	7	introduced	introduce	VERB
app01-10205	119	8	in	in	ADP
app01-10205	119	9	the	the	DET
app01-10205	119	10	previous	previous	ADJ
app01-10205	119	11	sections	section	NOUN
app01-10205	119	12	yields	yield	VERB
app01-10205	119	13	the	the	DET
app01-10205	119	14	whole	whole	ADJ
app01-10205	119	15	effective	effective	ADJ
app01-10205	119	16	stiffness	stiffness	NOUN
app01-10205	119	17	matrix	matrix	NOUN
app01-10205	119	18	.	.	PUNCT
app01-10205	120	1	however	however	ADV
app01-10205	120	2	,	,	PUNCT
app01-10205	120	3	comparing	compare	VERB
app01-10205	120	4	and	and	CCONJ
app01-10205	120	5	discussing	discuss	VERB
app01-10205	120	6	the	the	DET
app01-10205	120	7	entire	entire	ADJ
app01-10205	120	8	stiffness	stiffness	NOUN
app01-10205	120	9	matrix	matrix	NOUN
app01-10205	120	10	is	be	AUX
app01-10205	120	11	cumbersome	cumbersome	ADJ
app01-10205	120	12	.	.	PUNCT
app01-10205	121	1	here	here	ADV
app01-10205	121	2	,	,	PUNCT
app01-10205	121	3	we	we	PRON
app01-10205	121	4	focus	focus	VERB
app01-10205	121	5	on	on	ADP
app01-10205	121	6	the	the	DET
app01-10205	121	7	homogenised	homogenised	ADJ
app01-10205	121	8	poisson	poisson	NOUN
app01-10205	121	9	’s	’s	PART
app01-10205	121	10	effect	effect	NOUN
app01-10205	121	11	as	as	SCONJ
app01-10205	121	12	it	it	PRON
app01-10205	121	13	is	be	AUX
app01-10205	121	14	the	the	DET
app01-10205	121	15	primal	primal	ADJ
app01-10205	121	16	objective	objective	NOUN
app01-10205	121	17	of	of	ADP
app01-10205	121	18	the	the	DET
app01-10205	121	19	auxetic	auxetic	ADJ
app01-10205	121	20	metamaterial	metamaterial	NOUN
app01-10205	121	21	.	.	PUNCT
app01-10205	122	1	because	because	SCONJ
app01-10205	122	2	our	our	PRON
app01-10205	122	3	structures	structure	NOUN
app01-10205	122	4	are	be	AUX
app01-10205	122	5	symmetric	symmetric	ADJ
app01-10205	122	6	in	in	ADP
app01-10205	122	7	three	three	NUM
app01-10205	122	8	mutually	mutually	ADV
app01-10205	122	9	perpendicular	perpendicular	ADJ
app01-10205	122	10	directions	direction	NOUN
app01-10205	122	11	,	,	PUNCT
app01-10205	122	12	we	we	PRON
app01-10205	122	13	can	can	AUX
app01-10205	122	14	expect	expect	VERB
app01-10205	122	15	the	the	DET
app01-10205	122	16	overall	overall	ADJ
app01-10205	122	17	orthotropic	orthotropic	ADJ
app01-10205	122	18	response	response	NOUN
app01-10205	122	19	.	.	PUNCT
app01-10205	123	1	consequently	consequently	ADV
app01-10205	123	2	,	,	PUNCT
app01-10205	123	3	there	there	PRON
app01-10205	123	4	are	be	VERB
app01-10205	123	5	three	three	NUM
app01-10205	123	6	different	different	ADJ
app01-10205	123	7	values	value	NOUN
app01-10205	123	8	of	of	ADP
app01-10205	123	9	the	the	DET
app01-10205	123	10	poisson	poisson	NOUN
app01-10205	123	11	’s	’s	PART
app01-10205	123	12	ratio	ratio	NOUN
app01-10205	123	13	depending	depend	VERB
app01-10205	123	14	on	on	ADP
app01-10205	123	15	the	the	DET
app01-10205	123	16	direction	direction	NOUN
app01-10205	123	17	of	of	ADP
app01-10205	123	18	the	the	DET
app01-10205	123	19	prescribed	prescribed	ADJ
app01-10205	123	20	relative	relative	ADJ
app01-10205	123	21	deformation	deformation	NOUN
app01-10205	123	22	.	.	PUNCT
app01-10205	124	1	clearly	clearly	ADV
app01-10205	124	2	,	,	PUNCT
app01-10205	124	3	the	the	DET
app01-10205	124	4	poisson	poisson	NOUN
app01-10205	124	5	’s	’s	PART
app01-10205	124	6	ratios	ratio	NOUN
app01-10205	124	7	ν	ν	NOUN
app01-10205	124	8	in	in	ADP
app01-10205	124	9	the	the	DET
app01-10205	124	10	xy	xy	PROPN
app01-10205	124	11	and	and	CCONJ
app01-10205	124	12	xz	xz	PROPN
app01-10205	124	13	planes	plane	NOUN
app01-10205	124	14	,	,	PUNCT
app01-10205	124	15	νxy	νxy	PROPN
app01-10205	124	16	and	and	CCONJ
app01-10205	124	17	νxz	νxz	NOUN
app01-10205	124	18	,	,	PUNCT
app01-10205	124	19	will	will	AUX
app01-10205	124	20	be	be	AUX
app01-10205	124	21	the	the	DET
app01-10205	124	22	same	same	ADJ
app01-10205	124	23	due	due	ADP
app01-10205	124	24	to	to	ADP
app01-10205	124	25	the	the	DET
app01-10205	124	26	symmetry	symmetry	NOUN
app01-10205	124	27	of	of	ADP
app01-10205	124	28	puc	puc	PROPN
app01-10205	124	29	.	.	PUNCT
app01-10205	125	1	furthermore	furthermore	ADV
app01-10205	125	2	,	,	PUNCT
app01-10205	125	3	νyz	νyz	NOUN
app01-10205	125	4	and	and	CCONJ
app01-10205	125	5	νzy	νzy	NOUN
app01-10205	125	6	should	should	AUX
app01-10205	125	7	be	be	AUX
app01-10205	125	8	equal	equal	ADJ
app01-10205	125	9	for	for	ADP
app01-10205	125	10	the	the	DET
app01-10205	125	11	same	same	ADJ
app01-10205	125	12	reason	reason	NOUN
app01-10205	125	13	.	.	PUNCT
app01-10205	126	1	we	we	PRON
app01-10205	126	2	will	will	AUX
app01-10205	126	3	refer	refer	VERB
app01-10205	126	4	to	to	ADP
app01-10205	126	5	the	the	DET
app01-10205	126	6	stress	stress	NOUN
app01-10205	126	7	in	in	ADP
app01-10205	126	8	the	the	DET
app01-10205	126	9	metamaterial	metamaterial	ADJ
app01-10205	126	10	σ	σ	NOUN
app01-10205	126	11	to	to	PART
app01-10205	126	12	distinguish	distinguish	VERB
app01-10205	126	13	the	the	DET
app01-10205	126	14	macroscopic	macroscopic	ADJ
app01-10205	126	15	level	level	NOUN
app01-10205	126	16	from	from	ADP
app01-10205	126	17	the	the	DET
app01-10205	126	18	microscopic	microscopic	ADJ
app01-10205	126	19	one	one	NUM
app01-10205	126	20	.	.	PUNCT
app01-10205	127	1	the	the	DET
app01-10205	127	2	stress	stress	NOUN
app01-10205	127	3	-	-	PUNCT
app01-10205	127	4	strain	strain	NOUN
app01-10205	127	5	relation	relation	NOUN
app01-10205	127	6	is	be	AUX
app01-10205	127	7	linear	linear	ADJ
app01-10205	127	8	because	because	SCONJ
app01-10205	127	9	we	we	PRON
app01-10205	127	10	work	work	VERB
app01-10205	127	11	in	in	ADP
app01-10205	127	12	the	the	DET
app01-10205	127	13	range	range	NOUN
app01-10205	127	14	of	of	ADP
app01-10205	127	15	hooke	hooke	PROPN
app01-10205	127	16	’s	’s	PART
app01-10205	127	17	law	law	NOUN
app01-10205	127	18	,	,	PUNCT
app01-10205	127	19	so	so	ADV
app01-10205	127	20	macroscopic	macroscopic	ADJ
app01-10205	127	21	stress	stress	NOUN
app01-10205	127	22	can	can	AUX
app01-10205	127	23	be	be	AUX
app01-10205	127	24	written	write	VERB
app01-10205	127	25	as	as	ADP
app01-10205	127	26	:	:	PUNCT
app01-10205	127	27	σ	σ	PROPN
app01-10205	127	28	=	=	SYM
app01-10205	127	29	dhome	dhome	PROPN
app01-10205	127	30	,	,	PUNCT
app01-10205	127	31	(	(	PUNCT
app01-10205	127	32	38	38	NUM
app01-10205	127	33	)	)	PUNCT
app01-10205	127	34	which	which	PRON
app01-10205	127	35	can	can	AUX
app01-10205	127	36	be	be	AUX
app01-10205	127	37	broken	break	VERB
app01-10205	127	38	down	down	ADP
app01-10205	127	39	into	into	ADP
app01-10205	127	40	individual	individual	ADJ
app01-10205	127	41	components	component	NOUN
app01-10205	127	42	as	as	ADP
app01-10205	127	43	follows:	follows:	NOUN
app01-10205	127	44	σx	σx	ADP
app01-10205	127	45	σy	σy	PROPN
app01-10205	127	46	σz	σz	PROPN
app01-10205	127	47	σyz	σyz	PROPN
app01-10205	127	48	σxz	σxz	PROPN
app01-10205	127	49	σxy	σxy	NOUN
app01-10205	127	50			NOUN
app01-10205	127	51	=	=	SYM
app01-10205	127	52			NOUN
app01-10205	127	53	dxx	dxx	PROPN
app01-10205	127	54	dxy	dxy	PROPN
app01-10205	127	55	dxz	dxz	PROPN
app01-10205	127	56	0	0	NUM
app01-10205	127	57	0	0	NUM
app01-10205	127	58	0	0	NUM
app01-10205	127	59	dyx	dyx	NOUN
app01-10205	128	1	dyy	dyy	INTJ
app01-10205	128	2	dyz	dyz	ADV
app01-10205	128	3	0	0	NUM
app01-10205	128	4	0	0	NUM
app01-10205	128	5	0	0	NUM
app01-10205	128	6	dzx	dzx	PROPN
app01-10205	128	7	dzy	dzy	PROPN
app01-10205	128	8	dzz	dzz	PROPN
app01-10205	128	9	0	0	NUM
app01-10205	128	10	0	0	NUM
app01-10205	128	11	0	0	NUM
app01-10205	128	12	0	0	NUM
app01-10205	128	13	0	0	SYM
app01-10205	128	14	0	0	NUM
app01-10205	128	15	gyz	gyz	NOUN
app01-10205	128	16	0	0	NUM
app01-10205	128	17	0	0	NUM
app01-10205	128	18	0	0	NUM
app01-10205	128	19	0	0	NUM
app01-10205	128	20	0	0	NUM
app01-10205	128	21	0	0	NUM
app01-10205	128	22	gxz	gxz	NOUN
app01-10205	128	23	0	0	NUM
app01-10205	128	24	0	0	NUM
app01-10205	128	25	0	0	NUM
app01-10205	128	26	0	0	NUM
app01-10205	128	27	0	0	NUM
app01-10205	128	28	0	0	NUM
app01-10205	128	29	gxy	gxy	NOUN
app01-10205	128	30			NUM
app01-10205	128	31			NOUN
app01-10205	128	32	ex	ex	X
app01-10205	129	1	ey	ey	PROPN
app01-10205	129	2	ez	ez	PROPN
app01-10205	129	3	γyz	γyz	PROPN
app01-10205	129	4	γxz	γxz	PROPN
app01-10205	129	5	γxy	γxy	NOUN
app01-10205	129	6			NUM
app01-10205	129	7	.	.	PUNCT
app01-10205	130	1	(	(	PUNCT
app01-10205	130	2	39	39	NUM
app01-10205	130	3	)	)	PUNCT
app01-10205	130	4	to	to	PART
app01-10205	130	5	determine	determine	VERB
app01-10205	130	6	the	the	DET
app01-10205	130	7	poisson	poisson	NOUN
app01-10205	130	8	’s	’s	PART
app01-10205	130	9	ratio	ratio	NOUN
app01-10205	130	10	νij	νij	PROPN
app01-10205	130	11	,	,	PUNCT
app01-10205	130	12	we	we	PRON
app01-10205	130	13	perform	perform	VERB
app01-10205	130	14	a	a	DET
app01-10205	130	15	virtual	virtual	ADJ
app01-10205	130	16	uniaxial	uniaxial	ADJ
app01-10205	130	17	tension	tension	NOUN
app01-10205	130	18	/	/	SYM
app01-10205	130	19	compression	compression	NOUN
app01-10205	130	20	experiment	experiment	NOUN
app01-10205	130	21	in	in	ADP
app01-10205	130	22	which	which	PRON
app01-10205	130	23	we	we	PRON
app01-10205	130	24	prescribe	prescribe	VERB
app01-10205	130	25	the	the	DET
app01-10205	130	26	macroscopic	macroscopic	ADJ
app01-10205	130	27	strain	strain	NOUN
app01-10205	130	28	in	in	ADP
app01-10205	130	29	the	the	DET
app01-10205	130	30	ith	ith	NOUN
app01-10205	130	31	direction	direction	NOUN
app01-10205	130	32	and	and	CCONJ
app01-10205	130	33	compute	compute	VERB
app01-10205	130	34	the	the	DET
app01-10205	130	35	strain	strain	NOUN
app01-10205	130	36	in	in	ADP
app01-10205	130	37	the	the	DET
app01-10205	130	38	jth	jth	PROPN
app01-10205	130	39	direction	direction	NOUN
app01-10205	130	40	for	for	ADP
app01-10205	130	41	the	the	DET
app01-10205	130	42	requirement	requirement	NOUN
app01-10205	130	43	of	of	ADP
app01-10205	130	44	zero	zero	NUM
app01-10205	130	45	macroscopic	macroscopic	ADJ
app01-10205	130	46	stress	stress	NOUN
app01-10205	130	47	in	in	ADP
app01-10205	130	48	the	the	DET
app01-10205	130	49	jth	jth	PROPN
app01-10205	130	50	and	and	CCONJ
app01-10205	130	51	kth	kth	PROPN
app01-10205	130	52	direction	direction	NOUN
app01-10205	130	53	.	.	PUNCT
app01-10205	131	1	this	this	DET
app01-10205	131	2	experiment	experiment	NOUN
app01-10205	131	3	results	result	VERB
app01-10205	131	4	in	in	ADP
app01-10205	131	5	the	the	DET
app01-10205	131	6	following	follow	VERB
app01-10205	131	7	relation	relation	NOUN
app01-10205	131	8	:	:	PUNCT
app01-10205	131	9	ẽei	ẽei	PROPN
app01-10205	131	10	j	j	PROPN
app01-10205	131	11	=	=	PUNCT
app01-10205	131	12	dikdjk	dikdjk	NOUN
app01-10205	132	1	−	−	AUX
app01-10205	132	2	dijdkk	dijdkk	VERB
app01-10205	132	3	djjdkk	djjdkk	NOUN
app01-10205	132	4	−	−	PROPN
app01-10205	132	5	d2	d2	PROPN
app01-10205	132	6	jk	jk	PROPN
app01-10205	132	7	ei	ei	PROPN
app01-10205	132	8	.	.	PROPN
app01-10205	133	1	(	(	PUNCT
app01-10205	133	2	40	40	NUM
app01-10205	133	3	)	)	PUNCT
app01-10205	133	4	using	use	VERB
app01-10205	133	5	(	(	PUNCT
app01-10205	133	6	40	40	NUM
app01-10205	133	7	)	)	PUNCT
app01-10205	133	8	we	we	PRON
app01-10205	133	9	can	can	AUX
app01-10205	133	10	express	express	VERB
app01-10205	133	11	poisson	poisson	NOUN
app01-10205	133	12	’s	’s	PART
app01-10205	133	13	ratio	ratio	NOUN
app01-10205	133	14	for	for	ADP
app01-10205	133	15	any	any	DET
app01-10205	133	16	direction	direction	NOUN
app01-10205	133	17	,	,	PUNCT
app01-10205	133	18	following	follow	VERB
app01-10205	133	19	its	its	PRON
app01-10205	133	20	definition	definition	NOUN
app01-10205	133	21	as	as	ADP
app01-10205	133	22	a	a	DET
app01-10205	133	23	negative	negative	ADJ
app01-10205	133	24	ratio	ratio	NOUN
app01-10205	133	25	of	of	ADP
app01-10205	133	26	the	the	DET
app01-10205	133	27	derived	derive	VERB
app01-10205	133	28	and	and	CCONJ
app01-10205	133	29	prescribed	prescribed	ADJ
app01-10205	133	30	macroscopic	macroscopic	ADJ
app01-10205	133	31	strain	strain	NOUN
app01-10205	133	32	.	.	PUNCT
app01-10205	134	1	consequently	consequently	ADV
app01-10205	134	2	,	,	PUNCT
app01-10205	134	3	the	the	DET
app01-10205	134	4	effective	effective	ADJ
app01-10205	134	5	poisson	poisson	NOUN
app01-10205	134	6	’s	’s	PART
app01-10205	134	7	ratio	ratio	NOUN
app01-10205	134	8	of	of	ADP
app01-10205	134	9	an	an	DET
app01-10205	134	10	auxetic	auxetic	ADJ
app01-10205	134	11	metamaterial	metamaterial	NOUN
app01-10205	134	12	is	be	AUX
app01-10205	134	13	given	give	VERB
app01-10205	134	14	by	by	ADP
app01-10205	134	15	:	:	PUNCT
app01-10205	134	16	νij	νij	PROPN
app01-10205	134	17	=	=	SYM
app01-10205	134	18	−	−	PROPN
app01-10205	134	19	ẽei	ẽei	PROPN
app01-10205	134	20	j	j	PROPN
app01-10205	134	21	ei	ei	PROPN
app01-10205	134	22	=	=	PUNCT
app01-10205	134	23	dikdjk	dikdjk	NOUN
app01-10205	134	24	−	−	PROPN
app01-10205	134	25	dijdkk	dijdkk	VERB
app01-10205	134	26	d2	d2	PROPN
app01-10205	134	27	jk	jk	PROPN
app01-10205	134	28	−	−	PROPN
app01-10205	134	29	djjdkk	djjdkk	NOUN
app01-10205	134	30	.	.	PUNCT
app01-10205	135	1	(	(	PUNCT
app01-10205	135	2	41	41	NUM
app01-10205	135	3	)	)	PUNCT
app01-10205	135	4	5	5	NUM
app01-10205	135	5	.	.	PUNCT
app01-10205	135	6	results	result	NOUN
app01-10205	135	7	we	we	PRON
app01-10205	135	8	parameterised	parameterise	VERB
app01-10205	135	9	the	the	DET
app01-10205	135	10	two	two	NUM
app01-10205	135	11	microstructural	microstructural	ADJ
app01-10205	135	12	geometries	geometry	NOUN
app01-10205	135	13	(	(	PUNCT
app01-10205	135	14	cubic	cubic	ADJ
app01-10205	135	15	and	and	CCONJ
app01-10205	135	16	hexagonal	hexagonal	ADJ
app01-10205	135	17	)	)	PUNCT
app01-10205	135	18	from	from	ADP
app01-10205	135	19	section	section	NOUN
app01-10205	135	20	2	2	NUM
app01-10205	135	21	,	,	PUNCT
app01-10205	135	22	recall	recall	NOUN
app01-10205	135	23	figures	figure	NOUN
app01-10205	135	24	1	1	NUM
app01-10205	135	25	and	and	CCONJ
app01-10205	135	26	2	2	NUM
app01-10205	135	27	,	,	PUNCT
app01-10205	135	28	with	with	ADP
app01-10205	135	29	an	an	DET
app01-10205	135	30	angle	angle	NOUN
app01-10205	135	31	δ	δ	PROPN
app01-10205	135	32	∈	∈	PROPN
app01-10205	135	33	(	(	PUNCT
app01-10205	135	34	0	0	NUM
app01-10205	135	35	°	°	NUM
app01-10205	135	36	,	,	PUNCT
app01-10205	135	37	45	45	NUM
app01-10205	135	38	°	°	PRON
app01-10205	135	39	⟩.	⟩.	NOUN
app01-10205	135	40	this	this	DET
app01-10205	135	41	range	range	NOUN
app01-10205	135	42	was	be	AUX
app01-10205	135	43	chosen	choose	VERB
app01-10205	135	44	to	to	PART
app01-10205	135	45	avoid	avoid	VERB
app01-10205	135	46	beams	beam	NOUN
app01-10205	135	47	’	'	PUNCT
app01-10205	135	48	overlaps	overlap	NOUN
app01-10205	135	49	.	.	PUNCT
app01-10205	136	1	the	the	DET
app01-10205	136	2	numerical	numerical	ADJ
app01-10205	136	3	results	result	NOUN
app01-10205	136	4	comply	comply	VERB
app01-10205	136	5	with	with	ADP
app01-10205	136	6	our	our	PRON
app01-10205	136	7	assumptions	assumption	NOUN
app01-10205	136	8	of	of	ADP
app01-10205	136	9	equal	equal	ADJ
app01-10205	136	10	poisson	poisson	NOUN
app01-10205	136	11	’s	’s	PART
app01-10205	136	12	ratio	ratio	NOUN
app01-10205	136	13	values	value	NOUN
app01-10205	136	14	in	in	ADP
app01-10205	136	15	following	follow	VERB
app01-10205	136	16	directions	direction	NOUN
app01-10205	136	17	:	:	PUNCT
app01-10205	136	18	νxy	νxy	PROPN
app01-10205	136	19	=	=	SYM
app01-10205	136	20	νxz	νxz	PROPN
app01-10205	136	21	,	,	PUNCT
app01-10205	136	22	νyx	νyx	PROPN
app01-10205	136	23	=	=	SYM
app01-10205	136	24	νzx	νzx	NOUN
app01-10205	136	25	,	,	PUNCT
app01-10205	136	26	νyz	νyz	NOUN
app01-10205	136	27	=	=	SYM
app01-10205	136	28	νzy	νzy	NOUN
app01-10205	136	29	,	,	PUNCT
app01-10205	136	30	(	(	PUNCT
app01-10205	136	31	42	42	X
app01-10205	136	32	)	)	PUNCT
app01-10205	136	33	see	see	AUX
app01-10205	136	34	also	also	ADV
app01-10205	136	35	overlapping	overlap	VERB
app01-10205	136	36	lines	line	NOUN
app01-10205	136	37	in	in	ADP
app01-10205	136	38	figure	figure	NOUN
app01-10205	136	39	4	4	NUM
app01-10205	136	40	.	.	PUNCT
app01-10205	137	1	we	we	PRON
app01-10205	137	2	observed	observe	VERB
app01-10205	137	3	auxetic	auxetic	ADJ
app01-10205	137	4	behaviour	behaviour	NOUN
app01-10205	137	5	in	in	ADP
app01-10205	137	6	the	the	DET
app01-10205	137	7	whole	whole	ADJ
app01-10205	137	8	range	range	NOUN
app01-10205	137	9	of	of	ADP
app01-10205	137	10	δ	δ	PROPN
app01-10205	137	11	with	with	ADP
app01-10205	137	12	cubic	cubic	ADJ
app01-10205	137	13	puc	puc	NOUN
app01-10205	137	14	,	,	PUNCT
app01-10205	137	15	while	while	SCONJ
app01-10205	137	16	the	the	DET
app01-10205	137	17	metamaterial	metamaterial	NOUN
app01-10205	137	18	with	with	ADP
app01-10205	137	19	hexagonal	hexagonal	ADJ
app01-10205	137	20	puc	puc	NOUN
app01-10205	137	21	exhibits	exhibit	VERB
app01-10205	137	22	pure	pure	ADJ
app01-10205	137	23	auxetic	auxetic	ADJ
app01-10205	137	24	properties	property	NOUN
app01-10205	137	25	only	only	ADV
app01-10205	137	26	for	for	ADP
app01-10205	137	27	angles	angle	NOUN
app01-10205	137	28	δ	δ	PROPN
app01-10205	137	29	∈	∈	PROPN
app01-10205	137	30	⟨10.56	⟨10.56	PROPN
app01-10205	137	31	°	°	PROPN
app01-10205	137	32	,	,	PUNCT
app01-10205	137	33	45	45	NUM
app01-10205	137	34	°	°	NUM
app01-10205	137	35	⟩.	⟩.	NOUN
app01-10205	137	36	for	for	ADP
app01-10205	137	37	the	the	DET
app01-10205	137	38	lower	low	ADJ
app01-10205	137	39	values	value	NOUN
app01-10205	137	40	of	of	ADP
app01-10205	137	41	δ	δ	PROPN
app01-10205	137	42	,	,	PUNCT
app01-10205	137	43	the	the	DET
app01-10205	137	44	metamaterial	metamaterial	NOUN
app01-10205	137	45	is	be	AUX
app01-10205	137	46	auxetic	auxetic	ADJ
app01-10205	137	47	only	only	ADV
app01-10205	137	48	in	in	ADP
app01-10205	137	49	the	the	DET
app01-10205	137	50	xy	xy	PROPN
app01-10205	137	51	and	and	CCONJ
app01-10205	137	52	xz	xz	PROPN
app01-10205	137	53	planes	plane	NOUN
app01-10205	137	54	,	,	PUNCT
app01-10205	137	55	with	with	ADP
app01-10205	137	56	the	the	DET
app01-10205	137	57	highest	high	ADJ
app01-10205	137	58	poisson	poisson	NOUN
app01-10205	137	59	’s	’s	PART
app01-10205	137	60	ratio	ratio	NOUN
app01-10205	137	61	value	value	NOUN
app01-10205	137	62	of	of	ADP
app01-10205	137	63	νyz	νyz	NOUN
app01-10205	137	64	=	=	SYM
app01-10205	137	65	0.33	0.33	NUM
app01-10205	137	66	,	,	PUNCT
app01-10205	137	67	which	which	PRON
app01-10205	137	68	leads	lead	VERB
app01-10205	137	69	to	to	ADP
app01-10205	137	70	the	the	DET
app01-10205	137	71	lateral	lateral	ADJ
app01-10205	137	72	contraction	contraction	NOUN
app01-10205	137	73	during	during	ADP
app01-10205	137	74	stretching	stretch	VERB
app01-10205	137	75	in	in	ADP
app01-10205	137	76	the	the	DET
app01-10205	137	77	yz	yz	PROPN
app01-10205	137	78	plane	plane	NOUN
app01-10205	137	79	.	.	PUNCT
app01-10205	138	1	poisson	poisson	PROPN
app01-10205	138	2	’s	’s	PART
app01-10205	138	3	ratios	ratio	NOUN
app01-10205	138	4	νyx	νyx	PROPN
app01-10205	138	5	and	and	CCONJ
app01-10205	138	6	νzx	νzx	NOUN
app01-10205	138	7	are	be	AUX
app01-10205	138	8	the	the	DET
app01-10205	138	9	most	most	ADV
app01-10205	138	10	influenced	influence	VERB
app01-10205	138	11	by	by	ADP
app01-10205	138	12	the	the	DET
app01-10205	138	13	metamaterial	metamaterial	ADJ
app01-10205	138	14	’s	’s	PART
app01-10205	138	15	geometry	geometry	NOUN
app01-10205	138	16	and	and	CCONJ
app01-10205	138	17	attain	attain	VERB
app01-10205	138	18	their	their	PRON
app01-10205	138	19	minimum	minimum	NOUN
app01-10205	138	20	,	,	PUNCT
app01-10205	138	21	within	within	ADP
app01-10205	138	22	the	the	DET
app01-10205	138	23	investigated	investigate	VERB
app01-10205	138	24	range	range	NOUN
app01-10205	138	25	of	of	ADP
app01-10205	138	26	δ	δ	PROPN
app01-10205	138	27	,	,	PUNCT
app01-10205	138	28	from	from	ADP
app01-10205	138	29	which	which	PRON
app01-10205	138	30	24	24	NUM
app01-10205	138	31	vol	vol	NOUN
app01-10205	138	32	.	.	PUNCT
app01-10205	139	1	49/2024	49/2024	NUM
app01-10205	139	2	effect	effect	NOUN
app01-10205	139	3	of	of	ADP
app01-10205	139	4	geometry	geometry	NOUN
app01-10205	139	5	on	on	ADP
app01-10205	139	6	homogenised	homogenised	ADJ
app01-10205	139	7	properties	property	NOUN
app01-10205	139	8	of	of	ADP
app01-10205	139	9	auxetic	auxetic	ADJ
app01-10205	139	10	metamaterial	metamaterial	ADJ
app01-10205	139	11	0	0	NUM
app01-10205	139	12	5	5	NUM
app01-10205	139	13	10	10	NUM
app01-10205	139	14	15	15	NUM
app01-10205	139	15	20	20	NUM
app01-10205	139	16	25	25	NUM
app01-10205	139	17	30	30	NUM
app01-10205	139	18	35	35	NUM
app01-10205	139	19	40	40	NUM
app01-10205	139	20	45	45	NUM
app01-10205	139	21	-2	-2	NOUN
app01-10205	139	22	-1.8	-1.8	NOUN
app01-10205	139	23	-1.6	-1.6	PROPN
app01-10205	139	24	-1.4	-1.4	PROPN
app01-10205	139	25	-1.2	-1.2	NOUN
app01-10205	139	26	-1	-1	PROPN
app01-10205	139	27	-0.8	-0.8	PROPN
app01-10205	139	28	-0.6	-0.6	X
app01-10205	139	29	-0.4	-0.4	X
app01-10205	139	30	-0.2	-0.2	PROPN
app01-10205	139	31	0	0	PUNCT
app01-10205	140	1	xy	xy	PROPN
app01-10205	140	2	xz	xz	PROPN
app01-10205	141	1	yx	yx	INTJ
app01-10205	141	2	zx	zx	NUM
app01-10205	142	1	yz	yz	INTJ
app01-10205	142	2	zy	zy	PROPN
app01-10205	142	3	(	(	PUNCT
app01-10205	142	4	a	a	NOUN
app01-10205	142	5	)	)	PUNCT
app01-10205	142	6	.	.	PUNCT
app01-10205	143	1	cubic	cubic	ADJ
app01-10205	143	2	microstructure	microstructure	NOUN
app01-10205	143	3	.	.	PUNCT
app01-10205	144	1	0	0	NUM
app01-10205	145	1	5	5	NUM
app01-10205	145	2	10	10	NUM
app01-10205	145	3	15	15	NUM
app01-10205	145	4	20	20	NUM
app01-10205	145	5	25	25	NUM
app01-10205	145	6	30	30	NUM
app01-10205	145	7	35	35	NUM
app01-10205	145	8	40	40	NUM
app01-10205	145	9	45	45	NUM
app01-10205	145	10	-1.6	-1.6	NUM
app01-10205	145	11	-1.4	-1.4	PROPN
app01-10205	145	12	-1.2	-1.2	NOUN
app01-10205	145	13	-1	-1	PROPN
app01-10205	145	14	-0.8	-0.8	PROPN
app01-10205	145	15	-0.6	-0.6	X
app01-10205	145	16	-0.4	-0.4	X
app01-10205	145	17	-0.2	-0.2	PROPN
app01-10205	145	18	0	0	NUM
app01-10205	145	19	0.2	0.2	NUM
app01-10205	145	20	0.4	0.4	NUM
app01-10205	145	21	xy	xy	PROPN
app01-10205	145	22	xz	xz	PROPN
app01-10205	146	1	yx	yx	PROPN
app01-10205	146	2	zx	zx	NUM
app01-10205	147	1	yz	yz	INTJ
app01-10205	147	2	zy	zy	PROPN
app01-10205	147	3	(	(	PUNCT
app01-10205	147	4	b	b	NOUN
app01-10205	147	5	)	)	PUNCT
app01-10205	147	6	.	.	PUNCT
app01-10205	148	1	hexagonal	hexagonal	ADJ
app01-10205	148	2	prismatic	prismatic	ADJ
app01-10205	148	3	microstructure	microstructure	NOUN
app01-10205	148	4	.	.	PUNCT
app01-10205	149	1	figure	figure	NOUN
app01-10205	149	2	4	4	NUM
app01-10205	149	3	.	.	PUNCT
app01-10205	150	1	poisson	poisson	PROPN
app01-10205	150	2	’s	’s	PART
app01-10205	150	3	ratio	ratio	NOUN
app01-10205	150	4	as	as	ADP
app01-10205	150	5	a	a	DET
app01-10205	150	6	function	function	NOUN
app01-10205	150	7	of	of	ADP
app01-10205	150	8	angle	angle	NOUN
app01-10205	150	9	δ	δ	PROPN
app01-10205	150	10	for	for	ADP
app01-10205	150	11	cubic	cubic	ADJ
app01-10205	150	12	and	and	CCONJ
app01-10205	150	13	regular	regular	ADJ
app01-10205	150	14	hexagonal	hexagonal	ADJ
app01-10205	150	15	prismatic	prismatic	ADJ
app01-10205	150	16	microstructure	microstructure	NOUN
app01-10205	150	17	.	.	PUNCT
app01-10205	151	1	their	their	PRON
app01-10205	151	2	value	value	NOUN
app01-10205	151	3	starts	start	VERB
app01-10205	151	4	increasing	increase	VERB
app01-10205	151	5	and	and	CCONJ
app01-10205	151	6	slowly	slowly	ADV
app01-10205	151	7	approaching	approach	VERB
app01-10205	151	8	remaining	remain	VERB
app01-10205	151	9	poisson	poisson	NOUN
app01-10205	151	10	’s	’s	PART
app01-10205	151	11	ratios	ratio	NOUN
app01-10205	151	12	.	.	PUNCT
app01-10205	152	1	specifically	specifically	ADV
app01-10205	152	2	,	,	PUNCT
app01-10205	152	3	for	for	ADP
app01-10205	152	4	the	the	DET
app01-10205	152	5	cubic	cubic	ADJ
app01-10205	152	6	puc	puc	NOUN
app01-10205	152	7	,	,	PUNCT
app01-10205	152	8	the	the	DET
app01-10205	152	9	global	global	ADJ
app01-10205	152	10	minimum	minimum	ADJ
app01-10205	152	11	νyx	νyx	PROPN
app01-10205	152	12	=	=	PUNCT
app01-10205	153	1	−1.98	−1.98	VERB
app01-10205	153	2	is	be	AUX
app01-10205	153	3	achieved	achieve	VERB
app01-10205	153	4	by	by	ADP
app01-10205	153	5	the	the	DET
app01-10205	153	6	geometry	geometry	NOUN
app01-10205	153	7	of	of	ADP
app01-10205	153	8	angle	angle	NOUN
app01-10205	153	9	δ	δ	PROPN
app01-10205	153	10	=	=	PROPN
app01-10205	153	11	13.78	13.78	NUM
app01-10205	153	12	°	°	NUM
app01-10205	153	13	.	.	PUNCT
app01-10205	154	1	hexagonal	hexagonal	ADJ
app01-10205	154	2	puc	puc	PROPN
app01-10205	154	3	exhibits	exhibit	VERB
app01-10205	154	4	its	its	PRON
app01-10205	154	5	minimal	minimal	ADJ
app01-10205	154	6	poisson	poisson	NOUN
app01-10205	154	7	’s	’s	PART
app01-10205	154	8	ratio	ratio	NOUN
app01-10205	154	9	of	of	ADP
app01-10205	154	10	value	value	NOUN
app01-10205	154	11	νyx	νyx	NOUN
app01-10205	154	12	=	=	PUNCT
app01-10205	155	1	−1.55	−1.55	NOUN
app01-10205	155	2	by	by	ADP
app01-10205	155	3	the	the	DET
app01-10205	155	4	angle	angle	NOUN
app01-10205	155	5	δ	δ	PROPN
app01-10205	155	6	=	=	PROPN
app01-10205	155	7	15.92	15.92	NUM
app01-10205	155	8	°	°	NUM
app01-10205	155	9	.	.	PUNCT
app01-10205	156	1	the	the	DET
app01-10205	156	2	remaining	remain	VERB
app01-10205	156	3	pairs	pair	NOUN
app01-10205	156	4	of	of	ADP
app01-10205	156	5	poisson	poisson	NOUN
app01-10205	156	6	’s	’s	PART
app01-10205	156	7	ratios	ratio	NOUN
app01-10205	156	8	,	,	PUNCT
app01-10205	156	9	i.e.	i.e.	X
app01-10205	156	10	νxy	νxy	PROPN
app01-10205	156	11	,	,	PUNCT
app01-10205	156	12	νxz	νxz	NOUN
app01-10205	156	13	and	and	CCONJ
app01-10205	156	14	νyz	νyz	NOUN
app01-10205	156	15	,	,	PUNCT
app01-10205	156	16	νzy	νzy	NOUN
app01-10205	156	17	,	,	PUNCT
app01-10205	156	18	on	on	ADP
app01-10205	156	19	the	the	DET
app01-10205	156	20	other	other	ADJ
app01-10205	156	21	hand	hand	NOUN
app01-10205	156	22	,	,	PUNCT
app01-10205	156	23	tend	tend	VERB
app01-10205	156	24	to	to	PART
app01-10205	156	25	decrease	decrease	VERB
app01-10205	156	26	with	with	ADP
app01-10205	156	27	the	the	DET
app01-10205	156	28	increasing	increase	VERB
app01-10205	156	29	angle	angle	NOUN
app01-10205	156	30	δ	δ	PROPN
app01-10205	156	31	across	across	ADP
app01-10205	156	32	the	the	DET
app01-10205	156	33	entire	entire	ADJ
app01-10205	156	34	range	range	NOUN
app01-10205	156	35	.	.	PUNCT
app01-10205	157	1	additionally	additionally	ADV
app01-10205	157	2	,	,	PUNCT
app01-10205	157	3	we	we	PRON
app01-10205	157	4	observe	observe	VERB
app01-10205	157	5	certain	certain	ADJ
app01-10205	157	6	values	value	NOUN
app01-10205	157	7	of	of	ADP
app01-10205	157	8	δ	δ	PROPN
app01-10205	157	9	,	,	PUNCT
app01-10205	157	10	where	where	SCONJ
app01-10205	157	11	some	some	DET
app01-10205	157	12	poisson	poisson	NOUN
app01-10205	157	13	’s	’s	PART
app01-10205	157	14	ratios	ratio	NOUN
app01-10205	157	15	coincide	coincide	VERB
app01-10205	157	16	.	.	PUNCT
app01-10205	158	1	in	in	ADP
app01-10205	158	2	the	the	DET
app01-10205	158	3	cubic	cubic	ADJ
app01-10205	158	4	puc	puc	NOUN
app01-10205	158	5	,	,	PUNCT
app01-10205	158	6	νxy	νxy	ADJ
app01-10205	158	7	and	and	CCONJ
app01-10205	158	8	νyz	νyz	NOUN
app01-10205	158	9	attain	attain	VERB
app01-10205	158	10	the	the	DET
app01-10205	158	11	same	same	ADJ
app01-10205	158	12	value	value	NOUN
app01-10205	158	13	of	of	ADP
app01-10205	158	14	−0.05	−0.05	NOUN
app01-10205	158	15	for	for	ADP
app01-10205	158	16	δ	δ	NOUN
app01-10205	158	17	=	=	PUNCT
app01-10205	158	18	3.32	3.32	NUM
app01-10205	158	19	°	°	NUM
app01-10205	158	20	.	.	PUNCT
app01-10205	159	1	the	the	DET
app01-10205	159	2	hexagonal	hexagonal	ADJ
app01-10205	159	3	puc	puc	NOUN
app01-10205	159	4	exhibits	exhibit	VERB
app01-10205	159	5	two	two	NUM
app01-10205	159	6	such	such	ADJ
app01-10205	159	7	values	value	NOUN
app01-10205	159	8	of	of	ADP
app01-10205	159	9	δ	δ	PROPN
app01-10205	159	10	,	,	PUNCT
app01-10205	159	11	δ	δ	PROPN
app01-10205	159	12	=	=	PROPN
app01-10205	159	13	16.96	16.96	NUM
app01-10205	159	14	°	°	NUM
app01-10205	159	15	and	and	CCONJ
app01-10205	159	16	δ	δ	X
app01-10205	159	17	=	=	PROPN
app01-10205	159	18	36.98	36.98	NUM
app01-10205	159	19	°	°	NUM
app01-10205	159	20	,	,	PUNCT
app01-10205	159	21	for	for	ADP
app01-10205	159	22	which	which	PRON
app01-10205	159	23	poisson	poisson	NOUN
app01-10205	159	24	’s	’s	PART
app01-10205	159	25	ratios	ratio	NOUN
app01-10205	159	26	are	be	AUX
app01-10205	159	27	equal	equal	ADJ
app01-10205	159	28	to	to	ADP
app01-10205	159	29	νxy	νxy	PROPN
app01-10205	159	30	=	=	SYM
app01-10205	159	31	νyz	νyz	NOUN
app01-10205	159	32	=	=	SYM
app01-10205	159	33	−0.26	−0.26	PROPN
app01-10205	159	34	and	and	CCONJ
app01-10205	159	35	−0.63	−0.63	NOUN
app01-10205	159	36	,	,	PUNCT
app01-10205	159	37	respectively	respectively	ADV
app01-10205	159	38	.	.	PUNCT
app01-10205	160	1	in	in	ADP
app01-10205	160	2	addition	addition	NOUN
app01-10205	160	3	,	,	PUNCT
app01-10205	160	4	the	the	DET
app01-10205	160	5	hexagonal	hexagonal	ADJ
app01-10205	160	6	puc	puc	NOUN
app01-10205	160	7	have	have	AUX
app01-10205	160	8	equal	equal	ADJ
app01-10205	160	9	poisson	poisson	NOUN
app01-10205	160	10	’s	’s	PART
app01-10205	160	11	ratios	ratio	NOUN
app01-10205	160	12	νxy	νxy	PROPN
app01-10205	160	13	and	and	CCONJ
app01-10205	160	14	νyx	νyx	PROPN
app01-10205	160	15	of	of	ADP
app01-10205	160	16	value	value	NOUN
app01-10205	160	17	νxy	νxy	ADV
app01-10205	160	18	=	=	X
app01-10205	161	1	−0.82	−0.82	NOUN
app01-10205	161	2	at	at	ADP
app01-10205	161	3	the	the	DET
app01-10205	161	4	angle	angle	NOUN
app01-10205	161	5	δ	δ	X
app01-10205	161	6	=	=	SYM
app01-10205	161	7	44.71	44.71	NUM
app01-10205	161	8	°	°	NOUN
app01-10205	161	9	.	.	NOUN
app01-10205	162	1	6	6	NUM
app01-10205	162	2	.	.	X
app01-10205	162	3	conclusion	conclusion	NOUN
app01-10205	162	4	we	we	PRON
app01-10205	162	5	investigated	investigate	VERB
app01-10205	162	6	the	the	DET
app01-10205	162	7	influence	influence	NOUN
app01-10205	162	8	of	of	ADP
app01-10205	162	9	the	the	DET
app01-10205	162	10	geometry	geometry	NOUN
app01-10205	162	11	controlled	control	VERB
app01-10205	162	12	by	by	ADP
app01-10205	162	13	the	the	DET
app01-10205	162	14	angle	angle	NOUN
app01-10205	162	15	δ	δ	PROPN
app01-10205	162	16	in	in	ADP
app01-10205	162	17	the	the	DET
app01-10205	162	18	bow	bow	NOUN
app01-10205	162	19	-	-	PUNCT
app01-10205	162	20	tie	tie	NOUN
app01-10205	162	21	part	part	NOUN
app01-10205	162	22	of	of	ADP
app01-10205	162	23	the	the	DET
app01-10205	162	24	microstructure	microstructure	NOUN
app01-10205	162	25	on	on	ADP
app01-10205	162	26	the	the	DET
app01-10205	162	27	effective	effective	ADJ
app01-10205	162	28	poisson	poisson	NOUN
app01-10205	162	29	’s	’s	PART
app01-10205	162	30	ratios	ratio	NOUN
app01-10205	162	31	of	of	ADP
app01-10205	162	32	two	two	NUM
app01-10205	162	33	three	three	NUM
app01-10205	162	34	-	-	PUNCT
app01-10205	162	35	dimensional	dimensional	ADJ
app01-10205	162	36	metamaterials	metamaterial	NOUN
app01-10205	162	37	.	.	PUNCT
app01-10205	163	1	their	their	PRON
app01-10205	163	2	pucs	pucs	NOUN
app01-10205	163	3	were	be	AUX
app01-10205	163	4	modelled	model	VERB
app01-10205	163	5	with	with	ADP
app01-10205	163	6	discrete	discrete	ADJ
app01-10205	163	7	beam	beam	NOUN
app01-10205	163	8	elements	element	NOUN
app01-10205	163	9	,	,	PUNCT
app01-10205	163	10	and	and	CCONJ
app01-10205	163	11	the	the	DET
app01-10205	163	12	effective	effective	ADJ
app01-10205	163	13	metamaterial	metamaterial	ADJ
app01-10205	163	14	properties	property	NOUN
app01-10205	163	15	were	be	AUX
app01-10205	163	16	determined	determine	VERB
app01-10205	163	17	using	use	VERB
app01-10205	163	18	direct	direct	ADJ
app01-10205	163	19	stiffness	stiffness	NOUN
app01-10205	163	20	method	method	NOUN
app01-10205	163	21	and	and	CCONJ
app01-10205	163	22	the	the	DET
app01-10205	163	23	first	first	ADJ
app01-10205	163	24	-	-	PUNCT
app01-10205	163	25	order	order	NOUN
app01-10205	163	26	numerical	numerical	ADJ
app01-10205	163	27	homogenisation	homogenisation	NOUN
app01-10205	163	28	,	,	PUNCT
app01-10205	163	29	resulting	result	VERB
app01-10205	163	30	in	in	ADP
app01-10205	163	31	a	a	DET
app01-10205	163	32	connection	connection	NOUN
app01-10205	163	33	between	between	ADP
app01-10205	163	34	their	their	PRON
app01-10205	163	35	microstructure	microstructure	NOUN
app01-10205	163	36	and	and	CCONJ
app01-10205	163	37	macroscopic	macroscopic	ADJ
app01-10205	163	38	behaviour	behaviour	NOUN
app01-10205	163	39	.	.	PUNCT
app01-10205	164	1	given	give	VERB
app01-10205	164	2	the	the	DET
app01-10205	164	3	symmetries	symmetry	NOUN
app01-10205	164	4	of	of	ADP
app01-10205	164	5	both	both	DET
app01-10205	164	6	investigated	investigate	VERB
app01-10205	164	7	microstructural	microstructural	ADJ
app01-10205	164	8	geometries	geometry	NOUN
app01-10205	164	9	,	,	PUNCT
app01-10205	164	10	we	we	PRON
app01-10205	164	11	obtain	obtain	VERB
app01-10205	164	12	three	three	NUM
app01-10205	164	13	distinct	distinct	ADJ
app01-10205	164	14	values	value	NOUN
app01-10205	164	15	of	of	ADP
app01-10205	164	16	poisson	poisson	PROPN
app01-10205	164	17	’s	’s	PART
app01-10205	164	18	ratios	ratio	NOUN
app01-10205	164	19	as	as	ADP
app01-10205	164	20	functions	function	NOUN
app01-10205	164	21	of	of	ADP
app01-10205	164	22	angle	angle	NOUN
app01-10205	164	23	δ	δ	PROPN
app01-10205	164	24	.	.	PUNCT
app01-10205	165	1	two	two	NUM
app01-10205	165	2	of	of	ADP
app01-10205	165	3	these	these	DET
app01-10205	165	4	values	value	NOUN
app01-10205	165	5	are	be	AUX
app01-10205	165	6	monotonously	monotonously	ADV
app01-10205	165	7	decreasing	decrease	VERB
app01-10205	165	8	with	with	ADP
app01-10205	165	9	increasing	increase	VERB
app01-10205	165	10	angle	angle	NOUN
app01-10205	165	11	δ	δ	PROPN
app01-10205	165	12	,	,	PUNCT
app01-10205	165	13	while	while	SCONJ
app01-10205	165	14	the	the	DET
app01-10205	165	15	remaining	remain	VERB
app01-10205	165	16	value	value	NOUN
app01-10205	165	17	(	(	PUNCT
app01-10205	165	18	same	same	ADJ
app01-10205	165	19	for	for	ADP
app01-10205	165	20	νyx	νyx	PROPN
app01-10205	165	21	and	and	CCONJ
app01-10205	165	22	νzx	νzx	NOUN
app01-10205	165	23	)	)	PUNCT
app01-10205	165	24	exhibits	exhibit	VERB
app01-10205	165	25	a	a	DET
app01-10205	165	26	minimum	minimum	NOUN
app01-10205	165	27	within	within	ADP
app01-10205	165	28	the	the	DET
app01-10205	165	29	studied	studied	ADJ
app01-10205	165	30	range	range	NOUN
app01-10205	165	31	of	of	ADP
app01-10205	165	32	ν	ν	PROPN
app01-10205	165	33	.	.	PUNCT
app01-10205	166	1	the	the	DET
app01-10205	166	2	cubic	cubic	ADJ
app01-10205	166	3	puc	puc	NOUN
app01-10205	166	4	features	feature	VERB
app01-10205	166	5	the	the	DET
app01-10205	166	6	minimum	minimum	ADJ
app01-10205	166	7	value	value	NOUN
app01-10205	166	8	νyx	νyx	NOUN
app01-10205	166	9	=	=	PUNCT
app01-10205	167	1	−1.98	−1.98	ADV
app01-10205	167	2	for	for	ADP
app01-10205	167	3	δ	δ	X
app01-10205	167	4	=	=	PROPN
app01-10205	167	5	13.78	13.78	NUM
app01-10205	167	6	°	°	NOUN
app01-10205	167	7	,	,	PUNCT
app01-10205	167	8	while	while	SCONJ
app01-10205	167	9	the	the	DET
app01-10205	167	10	hexagonal	hexagonal	ADJ
app01-10205	167	11	puc	puc	NOUN
app01-10205	167	12	attains	attain	NOUN
app01-10205	167	13	the	the	DET
app01-10205	167	14	minimum	minimum	ADJ
app01-10205	167	15	νyx	νyx	NOUN
app01-10205	167	16	=	=	PUNCT
app01-10205	168	1	−1.55	−1.55	NOUN
app01-10205	168	2	for	for	ADP
app01-10205	168	3	δ	δ	PROPN
app01-10205	168	4	=	=	PROPN
app01-10205	168	5	15.92	15.92	NUM
app01-10205	168	6	°	°	NUM
app01-10205	168	7	.	.	PUNCT
app01-10205	169	1	in	in	ADP
app01-10205	169	2	conclusion	conclusion	NOUN
app01-10205	169	3	,	,	PUNCT
app01-10205	169	4	only	only	ADV
app01-10205	169	5	the	the	DET
app01-10205	169	6	cubic	cubic	ADJ
app01-10205	169	7	puc	puc	NOUN
app01-10205	169	8	delivers	deliver	VERB
app01-10205	169	9	auxetic	auxetic	ADJ
app01-10205	169	10	behaviour	behaviour	NOUN
app01-10205	169	11	in	in	ADP
app01-10205	169	12	all	all	DET
app01-10205	169	13	directions	direction	NOUN
app01-10205	169	14	for	for	ADP
app01-10205	169	15	all	all	DET
app01-10205	169	16	investigated	investigate	VERB
app01-10205	169	17	values	value	NOUN
app01-10205	169	18	of	of	ADP
app01-10205	169	19	δ	δ	PROPN
app01-10205	169	20	.	.	PUNCT
app01-10205	170	1	the	the	DET
app01-10205	170	2	hexagonal	hexagonal	ADJ
app01-10205	170	3	puc	puc	NOUN
app01-10205	170	4	shares	share	NOUN
app01-10205	170	5	the	the	DET
app01-10205	170	6	same	same	ADJ
app01-10205	170	7	trait	trait	NOUN
app01-10205	170	8	only	only	ADV
app01-10205	170	9	for	for	ADP
app01-10205	170	10	δ	δ	PROPN
app01-10205	170	11	≥	≥	NUM
app01-10205	170	12	10.56	10.56	NUM
app01-10205	170	13	°	°	NOUN
app01-10205	170	14	.	.	PUNCT
app01-10205	171	1	acknowledgements	acknowledgement	NOUN
app01-10205	171	2	this	this	DET
app01-10205	171	3	work	work	NOUN
app01-10205	171	4	was	be	AUX
app01-10205	171	5	supported	support	VERB
app01-10205	171	6	by	by	ADP
app01-10205	171	7	the	the	DET
app01-10205	171	8	grant	grant	PROPN
app01-10205	171	9	agency	agency	NOUN
app01-10205	171	10	of	of	ADP
app01-10205	171	11	the	the	DET
app01-10205	171	12	czech	czech	PROPN
app01-10205	171	13	technical	technical	PROPN
app01-10205	171	14	university	university	PROPN
app01-10205	171	15	in	in	ADP
app01-10205	171	16	prague	prague	PROPN
app01-10205	171	17	,	,	PUNCT
app01-10205	171	18	grant	grant	VERB
app01-10205	171	19	no	no	INTJ
app01-10205	171	20	.	.	PUNCT
app01-10205	172	1	sgs23/032	sgs23/032	NUM
app01-10205	172	2	/	/	SYM
app01-10205	172	3	ohk1/1t/11	ohk1/1t/11	PROPN
app01-10205	172	4	.	.	PUNCT
app01-10205	173	1	references	reference	NOUN
app01-10205	173	2	[	[	X
app01-10205	173	3	1	1	NUM
app01-10205	173	4	]	]	PUNCT
app01-10205	173	5	e.	e.	PROPN
app01-10205	173	6	barchiesi	barchiesi	PROPN
app01-10205	173	7	,	,	PUNCT
app01-10205	173	8	m.	m.	NOUN
app01-10205	173	9	spagnuolo	spagnuolo	PROPN
app01-10205	173	10	,	,	PUNCT
app01-10205	173	11	l.	l.	PROPN
app01-10205	173	12	placidi	placidi	PROPN
app01-10205	173	13	.	.	PUNCT
app01-10205	174	1	mechanical	mechanical	ADJ
app01-10205	174	2	metamaterials	metamaterial	NOUN
app01-10205	174	3	:	:	PUNCT
app01-10205	174	4	a	a	DET
app01-10205	174	5	state	state	NOUN
app01-10205	174	6	of	of	ADP
app01-10205	174	7	the	the	DET
app01-10205	174	8	art	art	NOUN
app01-10205	174	9	.	.	PUNCT
app01-10205	175	1	mathematics	mathematic	NOUN
app01-10205	175	2	and	and	CCONJ
app01-10205	175	3	mechanics	mechanic	NOUN
app01-10205	175	4	of	of	ADP
app01-10205	175	5	solids	solid	NOUN
app01-10205	175	6	24(1):212–234	24(1):212–234	NUM
app01-10205	175	7	,	,	PUNCT
app01-10205	175	8	2019	2019	NUM
app01-10205	175	9	.	.	PUNCT
app01-10205	176	1	https://doi.org/10.1177/1081286517735695	https://doi.org/10.1177/1081286517735695	X
app01-10205	177	1	[	[	X
app01-10205	177	2	2	2	NUM
app01-10205	177	3	]	]	PUNCT
app01-10205	177	4	x.	x.	NOUN
app01-10205	177	5	zhou	zhou	PROPN
app01-10205	177	6	,	,	PUNCT
app01-10205	177	7	l.	l.	PROPN
app01-10205	177	8	ren	ren	PROPN
app01-10205	177	9	,	,	PUNCT
app01-10205	177	10	z.	z.	PROPN
app01-10205	177	11	song	song	PROPN
app01-10205	177	12	,	,	PUNCT
app01-10205	177	13	et	et	PROPN
app01-10205	177	14	al	al	PROPN
app01-10205	177	15	.	.	PROPN
app01-10205	177	16	advances	advance	NOUN
app01-10205	177	17	in	in	ADP
app01-10205	177	18	3d/4d	3d/4d	NUM
app01-10205	177	19	printing	printing	NOUN
app01-10205	177	20	of	of	ADP
app01-10205	177	21	mechanical	mechanical	ADJ
app01-10205	177	22	metamaterials	metamaterial	NOUN
app01-10205	177	23	:	:	PUNCT
app01-10205	177	24	from	from	ADP
app01-10205	177	25	manufacturing	manufacture	VERB
app01-10205	177	26	to	to	ADP
app01-10205	177	27	applications	application	NOUN
app01-10205	177	28	.	.	PUNCT
app01-10205	178	1	composites	composite	VERB
app01-10205	178	2	part	part	NOUN
app01-10205	178	3	b	b	NOUN
app01-10205	178	4	:	:	PUNCT
app01-10205	178	5	engineering	engineer	VERB
app01-10205	178	6	254:110585	254:110585	NUM
app01-10205	178	7	,	,	PUNCT
app01-10205	178	8	2023	2023	NUM
app01-10205	178	9	.	.	PUNCT
app01-10205	179	1	https	https	NOUN
app01-10205	179	2	:	:	PUNCT
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app01-10205	180	2	/	/	SYM
app01-10205	180	3	j.compositesb.2023.110585	j.compositesb.2023.110585	NOUN
app01-10205	180	4	[	[	X
app01-10205	180	5	3	3	X
app01-10205	180	6	]	]	X
app01-10205	180	7	t.	t.	NOUN
app01-10205	180	8	bückmann	bückmann	PROPN
app01-10205	180	9	,	,	PUNCT
app01-10205	180	10	n.	n.	PROPN
app01-10205	180	11	stenger	stenger	PROPN
app01-10205	180	12	,	,	PUNCT
app01-10205	180	13	m.	m.	PROPN
app01-10205	180	14	kadic	kadic	PROPN
app01-10205	180	15	,	,	PUNCT
app01-10205	180	16	et	et	PROPN
app01-10205	180	17	al	al	PROPN
app01-10205	180	18	.	.	PROPN
app01-10205	180	19	tailored	tailor	VERB
app01-10205	180	20	3d	3d	NUM
app01-10205	180	21	mechanical	mechanical	ADJ
app01-10205	180	22	metamaterials	metamaterial	NOUN
app01-10205	180	23	made	make	VERB
app01-10205	180	24	by	by	ADP
app01-10205	180	25	dip	dip	NOUN
app01-10205	180	26	-	-	PUNCT
app01-10205	180	27	in	in	ADP
app01-10205	180	28	direct	direct	ADJ
app01-10205	180	29	-	-	PUNCT
app01-10205	180	30	laser	laser	NOUN
app01-10205	180	31	-	-	PUNCT
app01-10205	180	32	writing	write	VERB
app01-10205	180	33	optical	optical	ADJ
app01-10205	180	34	lithography	lithography	NOUN
app01-10205	180	35	.	.	PUNCT
app01-10205	181	1	advanced	advanced	ADJ
app01-10205	181	2	materials	material	NOUN
app01-10205	181	3	24(20):2710–2714	24(20):2710–2714	NUM
app01-10205	181	4	,	,	PUNCT
app01-10205	181	5	2012	2012	NUM
app01-10205	181	6	.	.	PUNCT
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app01-10205	183	1	[	[	X
app01-10205	183	2	4	4	NUM
app01-10205	183	3	]	]	PUNCT
app01-10205	183	4	a.	a.	PROPN
app01-10205	183	5	kassimali	kassimali	PROPN
app01-10205	183	6	.	.	PUNCT
app01-10205	184	1	matrix	matrix	NOUN
app01-10205	184	2	analysis	analysis	NOUN
app01-10205	184	3	of	of	ADP
app01-10205	184	4	structures	structure	NOUN
app01-10205	184	5	.	.	PUNCT
app01-10205	185	1	cengage	cengage	PROPN
app01-10205	185	2	learning	learning	PROPN
app01-10205	185	3	,	,	PUNCT
app01-10205	185	4	stamford	stamford	PROPN
app01-10205	185	5	,	,	PUNCT
app01-10205	185	6	australia	australia	PROPN
app01-10205	185	7	,	,	PUNCT
app01-10205	185	8	2nd	2nd	ADJ
app01-10205	185	9	edn	edn	PROPN
app01-10205	185	10	.	.	PUNCT
app01-10205	185	11	,	,	PUNCT
app01-10205	185	12	2012	2012	NUM
app01-10205	185	13	.	.	PUNCT
app01-10205	186	1	isbn	isbn	ADJ
app01-10205	186	2	978	978	NUM
app01-10205	186	3	-	-	SYM
app01-10205	186	4	1	1	NUM
app01-10205	186	5	-	-	PUNCT
app01-10205	186	6	111	111	NUM
app01-10205	186	7	-	-	PUNCT
app01-10205	186	8	42620	42620	NUM
app01-10205	186	9	-	-	PUNCT
app01-10205	186	10	0	0	NUM
app01-10205	186	11	.	.	PUNCT
app01-10205	187	1	[	[	X
app01-10205	187	2	5	5	X
app01-10205	187	3	]	]	PUNCT
app01-10205	187	4	w.	w.	PROPN
app01-10205	187	5	mcguire	mcguire	PROPN
app01-10205	187	6	,	,	PUNCT
app01-10205	187	7	r.	r.	PROPN
app01-10205	187	8	h.	h.	PROPN
app01-10205	187	9	gallagher	gallagher	PROPN
app01-10205	187	10	,	,	PUNCT
app01-10205	187	11	r.	r.	PROPN
app01-10205	187	12	d.	d.	PROPN
app01-10205	187	13	ziemian	ziemian	PROPN
app01-10205	187	14	.	.	PUNCT
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app01-10205	188	2	structural	structural	ADJ
app01-10205	188	3	analysis	analysis	NOUN
app01-10205	188	4	.	.	PUNCT
app01-10205	189	1	john	john	PROPN
app01-10205	189	2	wiley	wiley	PROPN
app01-10205	189	3	,	,	PUNCT
app01-10205	189	4	new	new	PROPN
app01-10205	189	5	york	york	PROPN
app01-10205	189	6	,	,	PUNCT
app01-10205	189	7	2nd	2nd	PROPN
app01-10205	189	8	edn	edn	PROPN
app01-10205	189	9	.	.	PUNCT
app01-10205	189	10	,	,	PUNCT
app01-10205	189	11	2000	2000	NUM
app01-10205	189	12	.	.	PUNCT
app01-10205	190	1	isbn	isbn	PROPN
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app01-10205	190	3	.	.	PUNCT
app01-10205	191	1	[	[	X
app01-10205	191	2	6	6	NUM
app01-10205	191	3	]	]	PUNCT
app01-10205	191	4	j.	j.	PROPN
app01-10205	191	5	c.	c.	PROPN
app01-10205	191	6	michel	michel	PROPN
app01-10205	191	7	,	,	PUNCT
app01-10205	191	8	h.	h.	PROPN
app01-10205	191	9	moulinec	moulinec	PROPN
app01-10205	191	10	,	,	PUNCT
app01-10205	191	11	p.	p.	NOUN
app01-10205	191	12	suquet	suquet	NOUN
app01-10205	191	13	.	.	PUNCT
app01-10205	191	14	effective	effective	ADJ
app01-10205	191	15	properties	property	NOUN
app01-10205	191	16	of	of	ADP
app01-10205	191	17	composite	composite	ADJ
app01-10205	191	18	materials	material	NOUN
app01-10205	191	19	with	with	ADP
app01-10205	191	20	periodic	periodic	ADJ
app01-10205	191	21	microstructure	microstructure	NOUN
app01-10205	191	22	:	:	PUNCT
app01-10205	191	23	a	a	DET
app01-10205	191	24	computational	computational	ADJ
app01-10205	191	25	approach	approach	NOUN
app01-10205	191	26	.	.	PUNCT
app01-10205	192	1	computer	computer	NOUN
app01-10205	192	2	methods	method	NOUN
app01-10205	192	3	in	in	ADP
app01-10205	192	4	applied	applied	ADJ
app01-10205	192	5	mechanics	mechanic	NOUN
app01-10205	192	6	and	and	CCONJ
app01-10205	192	7	engineering	engineering	NOUN
app01-10205	192	8	172(1–4):109–143	172(1–4):109–143	NUM
app01-10205	192	9	,	,	PUNCT
app01-10205	192	10	1999	1999	NUM
app01-10205	192	11	.	.	PUNCT
app01-10205	193	1	https://doi.org/10.1016/s0045-7825(98)00227-8	https://doi.org/10.1016/s0045-7825(98)00227-8	VERB
app01-10205	194	1	[	[	X
app01-10205	194	2	7	7	NUM
app01-10205	194	3	]	]	X
app01-10205	194	4	m.	m.	NOUN
app01-10205	194	5	doškář	doškář	PROPN
app01-10205	194	6	,	,	PUNCT
app01-10205	194	7	j.	j.	PROPN
app01-10205	194	8	novák	novák	PROPN
app01-10205	194	9	.	.	PUNCT
app01-10205	195	1	a	a	DET
app01-10205	195	2	jigsaw	jigsaw	NOUN
app01-10205	195	3	puzzle	puzzle	NOUN
app01-10205	195	4	framework	framework	NOUN
app01-10205	195	5	for	for	ADP
app01-10205	195	6	homogenization	homogenization	NOUN
app01-10205	195	7	of	of	ADP
app01-10205	195	8	high	high	ADJ
app01-10205	195	9	porosity	porosity	NOUN
app01-10205	195	10	foams	foam	NOUN
app01-10205	195	11	.	.	PUNCT
app01-10205	196	1	computers	computer	NOUN
app01-10205	196	2	&	&	CCONJ
app01-10205	196	3	structures	structure	NOUN
app01-10205	196	4	166:33–41	166:33–41	NUM
app01-10205	196	5	,	,	PUNCT
app01-10205	196	6	2016	2016	NUM
app01-10205	196	7	.	.	PUNCT
app01-10205	197	1	https://doi.org/10.1016/j.compstruc.2016.01.003	https://doi.org/10.1016/j.compstruc.2016.01.003	ADJ
app01-10205	197	2	25	25	NUM
app01-10205	197	3	https://doi.org/10.1177/1081286517735695	https://doi.org/10.1177/1081286517735695	X
app01-10205	197	4	https://doi.org/10.1016/j.compositesb.2023.110585	https://doi.org/10.1016/j.compositesb.2023.110585	NOUN
app01-10205	197	5	https://doi.org/10.1016/j.compositesb.2023.110585	https://doi.org/10.1016/j.compositesb.2023.110585	VERB
app01-10205	197	6	https://doi.org/10.1002/adma.201200584	https://doi.org/10.1002/adma.201200584	PART
app01-10205	197	7	https://doi.org/10.1016/s0045-7825(98)00227-8	https://doi.org/10.1016/s0045-7825(98)00227-8	PROPN
app01-10205	197	8	https://doi.org/10.1016/j.compstruc.2016.01.003	https://doi.org/10.1016/j.compstruc.2016.01.003	PROPN
app01-10205	197	9	acta	acta	PROPN
app01-10205	197	10	polytechnica	polytechnica	PROPN
app01-10205	197	11	ctu	ctu	NOUN
app01-10205	197	12	proceedings	proceeding	NOUN
app01-10205	197	13	49:20–25	49:20–25	NUM
app01-10205	197	14	,	,	PUNCT
app01-10205	197	15	2024	2024	NUM
app01-10205	197	16	1	1	NUM
app01-10205	197	17	introduction	introduction	NOUN
app01-10205	197	18	2	2	NUM
app01-10205	197	19	geometry	geometry	NOUN
app01-10205	197	20	of	of	ADP
app01-10205	197	21	investigated	investigate	VERB
app01-10205	197	22	metamaterial	metamaterial	ADJ
app01-10205	197	23	3	3	NUM
app01-10205	197	24	direct	direct	ADJ
app01-10205	197	25	stiffness	stiffness	NOUN
app01-10205	197	26	method	method	NOUN
app01-10205	197	27	3.1	3.1	NUM
app01-10205	197	28	local	local	ADJ
app01-10205	197	29	stiffness	stiffness	NOUN
app01-10205	197	30	matrix	matrix	NOUN
app01-10205	197	31	3.2	3.2	NUM
app01-10205	197	32	global	global	ADJ
app01-10205	197	33	stiffness	stiffness	NOUN
app01-10205	197	34	matrix	matrix	NOUN
app01-10205	197	35	4	4	NUM
app01-10205	197	36	homogenisation	homogenisation	NOUN
app01-10205	197	37	4.1	4.1	NUM
app01-10205	197	38	displacement	displacement	ADJ
app01-10205	197	39	decomposition	decomposition	NOUN
app01-10205	197	40	4.2	4.2	NUM
app01-10205	197	41	periodic	periodic	ADJ
app01-10205	197	42	boundary	boundary	ADJ
app01-10205	197	43	conditions	condition	NOUN
app01-10205	197	44	4.3	4.3	NUM
app01-10205	197	45	energy	energy	NOUN
app01-10205	197	46	minimisation	minimisation	NOUN
app01-10205	197	47	4.4	4.4	NUM
app01-10205	197	48	effective	effective	ADJ
app01-10205	197	49	poisson	poisson	NOUN
app01-10205	197	50	's	's	PART
app01-10205	197	51	ratio	ratio	NOUN
app01-10205	197	52	5	5	NUM
app01-10205	197	53	results	result	VERB
app01-10205	197	54	6	6	NUM
app01-10205	197	55	conclusion	conclusion	NOUN
app01-10205	197	56	acknowledgements	acknowledgement	NOUN
app01-10205	197	57	references	reference	NOUN