id	sid	tid	token	lemma	pos
ap-660	1	1	ap05_1.vp	ap05_1.vp	NOUN
ap-660	1	2	1	1	NUM
ap-660	1	3	stress	stress	NOUN
ap-660	1	4	state	state	NOUN
ap-660	1	5	of	of	ADP
ap-660	1	6	elastic	elastic	ADJ
ap-660	1	7	bodies	body	NOUN
ap-660	1	8	1.1	1.1	NUM
ap-660	1	9	theory	theory	NOUN
ap-660	1	10	of	of	ADP
ap-660	1	11	elasticity	elasticity	NOUN
ap-660	1	12	uses	use	VERB
ap-660	1	13	forces	force	NOUN
ap-660	1	14	and	and	CCONJ
ap-660	1	15	axioms	axiom	NOUN
ap-660	1	16	of	of	ADP
ap-660	1	17	stereomechanics	stereomechanic	NOUN
ap-660	1	18	in	in	ADP
ap-660	1	19	the	the	DET
ap-660	1	20	theory	theory	NOUN
ap-660	1	21	of	of	ADP
ap-660	1	22	elasticity	elasticity	NOUN
ap-660	1	23	the	the	DET
ap-660	1	24	stress	stress	NOUN
ap-660	1	25	state	state	NOUN
ap-660	1	26	of	of	ADP
ap-660	1	27	a	a	DET
ap-660	1	28	loaded	load	VERB
ap-660	1	29	elastic	elastic	ADJ
ap-660	1	30	body	body	NOUN
ap-660	1	31	is	be	AUX
ap-660	1	32	described	describe	VERB
ap-660	1	33	by	by	ADP
ap-660	1	34	the	the	DET
ap-660	1	35	internal	internal	ADJ
ap-660	1	36	force	force	NOUN
ap-660	1	37	and	and	CCONJ
ap-660	1	38	stress	stress	NOUN
ap-660	1	39	,	,	PUNCT
ap-660	1	40	i.e.	i.e.	X
ap-660	1	41	quantities	quantity	NOUN
ap-660	1	42	adopted	adopt	VERB
ap-660	1	43	from	from	ADP
ap-660	1	44	the	the	DET
ap-660	1	45	mechanics	mechanic	NOUN
ap-660	1	46	of	of	ADP
ap-660	1	47	perfectly	perfectly	ADV
ap-660	1	48	solid	solid	ADJ
ap-660	1	49	bodies	body	NOUN
ap-660	1	50	.	.	PUNCT
ap-660	2	1	while	while	SCONJ
ap-660	2	2	the	the	DET
ap-660	2	3	deformation	deformation	NOUN
ap-660	2	4	depends	depend	VERB
ap-660	2	5	on	on	ADP
ap-660	2	6	the	the	DET
ap-660	2	7	physical	physical	ADJ
ap-660	2	8	and	and	CCONJ
ap-660	2	9	mechanical	mechanical	ADJ
ap-660	2	10	properties	property	NOUN
ap-660	2	11	of	of	ADP
ap-660	2	12	the	the	DET
ap-660	2	13	materials	material	NOUN
ap-660	2	14	,	,	PUNCT
ap-660	2	15	and	and	CCONJ
ap-660	2	16	changes	change	NOUN
ap-660	2	17	during	during	ADP
ap-660	2	18	any	any	DET
ap-660	2	19	change	change	NOUN
ap-660	2	20	of	of	ADP
ap-660	2	21	the	the	DET
ap-660	2	22	load	load	NOUN
ap-660	2	23	applied	apply	VERB
ap-660	2	24	to	to	ADP
ap-660	2	25	the	the	DET
ap-660	2	26	body	body	NOUN
ap-660	2	27	,	,	PUNCT
ap-660	2	28	for	for	ADP
ap-660	2	29	a	a	DET
ap-660	2	30	description	description	NOUN
ap-660	2	31	of	of	ADP
ap-660	2	32	the	the	DET
ap-660	2	33	stress	stress	NOUN
ap-660	2	34	state	state	NOUN
ap-660	2	35	of	of	ADP
ap-660	2	36	elastic	elastic	ADJ
ap-660	2	37	bodies	body	NOUN
ap-660	2	38	we	we	PRON
ap-660	2	39	have	have	VERB
ap-660	2	40	only	only	ADV
ap-660	2	41	the	the	DET
ap-660	2	42	quantities	quantity	NOUN
ap-660	2	43	which	which	PRON
ap-660	2	44	do	do	AUX
ap-660	2	45	not	not	PART
ap-660	2	46	depend	depend	VERB
ap-660	2	47	directly	directly	ADV
ap-660	2	48	either	either	CCONJ
ap-660	2	49	on	on	ADP
ap-660	2	50	the	the	DET
ap-660	2	51	material	material	NOUN
ap-660	2	52	properties	property	NOUN
ap-660	2	53	or	or	CCONJ
ap-660	2	54	on	on	ADP
ap-660	2	55	the	the	DET
ap-660	2	56	deformation	deformation	NOUN
ap-660	2	57	magnitude	magnitude	NOUN
ap-660	2	58	of	of	ADP
ap-660	2	59	the	the	DET
ap-660	2	60	body	body	NOUN
ap-660	2	61	.	.	PUNCT
ap-660	3	1	from	from	ADP
ap-660	3	2	the	the	DET
ap-660	3	3	mechanics	mechanic	NOUN
ap-660	3	4	of	of	ADP
ap-660	3	5	perfectly	perfectly	ADV
ap-660	3	6	solid	solid	ADJ
ap-660	3	7	bodies	body	NOUN
ap-660	3	8	the	the	DET
ap-660	3	9	theory	theory	NOUN
ap-660	3	10	of	of	ADP
ap-660	3	11	elasticity	elasticity	NOUN
ap-660	3	12	adopts	adopt	VERB
ap-660	3	13	also	also	ADV
ap-660	3	14	both	both	CCONJ
ap-660	3	15	the	the	DET
ap-660	3	16	fundamental	fundamental	ADJ
ap-660	3	17	axioms	axiom	NOUN
ap-660	3	18	of	of	ADP
ap-660	3	19	statics	statics	PROPN
ap-660	3	20	,	,	PUNCT
ap-660	3	21	viz	viz	VERB
ap-660	3	22	the	the	DET
ap-660	3	23	axiom	axiom	NOUN
ap-660	3	24	on	on	ADP
ap-660	3	25	the	the	DET
ap-660	3	26	equilibrium	equilibrium	NOUN
ap-660	3	27	of	of	ADP
ap-660	3	28	forces	force	NOUN
ap-660	3	29	and	and	CCONJ
ap-660	3	30	the	the	DET
ap-660	3	31	axiom	axiom	NOUN
ap-660	3	32	on	on	ADP
ap-660	3	33	the	the	DET
ap-660	3	34	composition	composition	NOUN
ap-660	3	35	and	and	CCONJ
ap-660	3	36	resolution	resolution	NOUN
ap-660	3	37	of	of	ADP
ap-660	3	38	forces	force	NOUN
ap-660	3	39	.	.	PUNCT
ap-660	4	1	according	accord	VERB
ap-660	4	2	to	to	ADP
ap-660	4	3	the	the	DET
ap-660	4	4	axiom	axiom	NOUN
ap-660	4	5	on	on	ADP
ap-660	4	6	the	the	DET
ap-660	4	7	equilibrium	equilibrium	NOUN
ap-660	4	8	of	of	ADP
ap-660	4	9	forces	force	NOUN
ap-660	4	10	,	,	PUNCT
ap-660	4	11	two	two	NUM
ap-660	4	12	forces	force	NOUN
ap-660	4	13	are	be	AUX
ap-660	4	14	in	in	ADP
ap-660	4	15	equilibrium	equilibrium	NOUN
ap-660	4	16	only	only	ADV
ap-660	4	17	if	if	SCONJ
ap-660	4	18	they	they	PRON
ap-660	4	19	act	act	VERB
ap-660	4	20	in	in	ADP
ap-660	4	21	opposite	opposite	ADJ
ap-660	4	22	directions	direction	NOUN
ap-660	4	23	in	in	ADP
ap-660	4	24	a	a	DET
ap-660	4	25	single	single	ADJ
ap-660	4	26	line	line	NOUN
ap-660	4	27	.	.	PUNCT
ap-660	5	1	according	accord	VERB
ap-660	5	2	to	to	ADP
ap-660	5	3	the	the	DET
ap-660	5	4	axiom	axiom	NOUN
ap-660	5	5	on	on	ADP
ap-660	5	6	the	the	DET
ap-660	5	7	composition	composition	NOUN
ap-660	5	8	and	and	CCONJ
ap-660	5	9	resolution	resolution	NOUN
ap-660	5	10	of	of	ADP
ap-660	5	11	forces	force	NOUN
ap-660	5	12	(	(	PUNCT
ap-660	5	13	axiom	axiom	NOUN
ap-660	5	14	of	of	ADP
ap-660	5	15	the	the	DET
ap-660	5	16	parallelogram	parallelogram	NOUN
ap-660	5	17	of	of	ADP
ap-660	5	18	forces	force	NOUN
ap-660	5	19	)	)	PUNCT
ap-660	5	20	,	,	PUNCT
ap-660	5	21	the	the	DET
ap-660	5	22	vector	vector	NOUN
ap-660	5	23	resolution	resolution	NOUN
ap-660	5	24	or	or	CCONJ
ap-660	5	25	composition	composition	NOUN
ap-660	5	26	of	of	ADP
ap-660	5	27	forces	force	NOUN
ap-660	5	28	does	do	AUX
ap-660	5	29	not	not	PART
ap-660	5	30	change	change	VERB
ap-660	5	31	the	the	DET
ap-660	5	32	state	state	NOUN
ap-660	5	33	of	of	ADP
ap-660	5	34	equilibrium	equilibrium	NOUN
ap-660	5	35	of	of	ADP
ap-660	5	36	the	the	DET
ap-660	5	37	given	give	VERB
ap-660	5	38	system	system	NOUN
ap-660	5	39	.	.	PUNCT
ap-660	6	1	a	a	DET
ap-660	6	2	necessary	necessary	ADJ
ap-660	6	3	prerequisite	prerequisite	NOUN
ap-660	6	4	for	for	ADP
ap-660	6	5	the	the	DET
ap-660	6	6	application	application	NOUN
ap-660	6	7	of	of	ADP
ap-660	6	8	both	both	PRON
ap-660	6	9	of	of	ADP
ap-660	6	10	these	these	DET
ap-660	6	11	axioms	axiom	NOUN
ap-660	6	12	is	be	AUX
ap-660	6	13	the	the	DET
ap-660	6	14	idealization	idealization	NOUN
ap-660	6	15	of	of	ADP
ap-660	6	16	the	the	DET
ap-660	6	17	continuous	continuous	ADJ
ap-660	6	18	application	application	NOUN
ap-660	6	19	of	of	ADP
ap-660	6	20	forces	force	NOUN
ap-660	6	21	by	by	ADP
ap-660	6	22	a	a	DET
ap-660	6	23	force	force	NOUN
ap-660	6	24	concentrated	concentrate	VERB
ap-660	6	25	in	in	ADP
ap-660	6	26	a	a	DET
ap-660	6	27	beam	beam	NOUN
ap-660	6	28	.	.	PUNCT
ap-660	7	1	the	the	DET
ap-660	7	2	concentration	concentration	NOUN
ap-660	7	3	of	of	ADP
ap-660	7	4	the	the	DET
ap-660	7	5	force	force	NOUN
ap-660	7	6	in	in	ADP
ap-660	7	7	a	a	DET
ap-660	7	8	single	single	ADJ
ap-660	7	9	beam	beam	NOUN
ap-660	7	10	and	and	CCONJ
ap-660	7	11	its	its	PRON
ap-660	7	12	effect	effect	NOUN
ap-660	7	13	on	on	ADP
ap-660	7	14	a	a	DET
ap-660	7	15	geometric	geometric	ADJ
ap-660	7	16	point	point	NOUN
ap-660	7	17	makes	make	VERB
ap-660	7	18	it	it	PRON
ap-660	7	19	possible	possible	ADJ
ap-660	7	20	to	to	PART
ap-660	7	21	consider	consider	VERB
ap-660	7	22	the	the	DET
ap-660	7	23	force	force	NOUN
ap-660	7	24	as	as	ADP
ap-660	7	25	a	a	DET
ap-660	7	26	vector	vector	NOUN
ap-660	7	27	quantity	quantity	NOUN
ap-660	7	28	and	and	CCONJ
ap-660	7	29	to	to	PART
ap-660	7	30	use	use	VERB
ap-660	7	31	all	all	DET
ap-660	7	32	vector	vector	NOUN
ap-660	7	33	operations	operation	NOUN
ap-660	7	34	.	.	PUNCT
ap-660	8	1	according	accord	VERB
ap-660	8	2	to	to	ADP
ap-660	8	3	newton	newton	PROPN
ap-660	8	4	’s	’s	PART
ap-660	8	5	third	third	ADJ
ap-660	8	6	theorem	theorem	NOUN
ap-660	8	7	(	(	PUNCT
ap-660	8	8	axiom	axiom	NOUN
ap-660	8	9	on	on	ADP
ap-660	8	10	action	action	NOUN
ap-660	8	11	and	and	CCONJ
ap-660	8	12	reaction	reaction	NOUN
ap-660	8	13	)	)	PUNCT
ap-660	8	14	,	,	PUNCT
ap-660	8	15	at	at	ADP
ap-660	8	16	every	every	DET
ap-660	8	17	point	point	NOUN
ap-660	8	18	of	of	ADP
ap-660	8	19	a	a	DET
ap-660	8	20	contact	contact	NOUN
ap-660	8	21	surface	surface	NOUN
ap-660	8	22	between	between	ADP
ap-660	8	23	two	two	NUM
ap-660	8	24	bodies	body	NOUN
ap-660	8	25	the	the	DET
ap-660	8	26	vector	vector	NOUN
ap-660	8	27	of	of	ADP
ap-660	8	28	a	a	DET
ap-660	8	29	specific	specific	ADJ
ap-660	8	30	load	load	NOUN
ap-660	8	31	must	must	AUX
ap-660	8	32	equal	equal	VERB
ap-660	8	33	the	the	DET
ap-660	8	34	vector	vector	NOUN
ap-660	8	35	of	of	ADP
ap-660	8	36	the	the	DET
ap-660	8	37	stress	stress	NOUN
ap-660	8	38	of	of	ADP
ap-660	8	39	the	the	DET
ap-660	8	40	opposite	opposite	ADJ
ap-660	8	41	direction	direction	NOUN
ap-660	8	42	.	.	PUNCT
ap-660	9	1	the	the	DET
ap-660	9	2	effect	effect	NOUN
ap-660	9	3	of	of	ADP
ap-660	9	4	the	the	DET
ap-660	9	5	forces	force	NOUN
ap-660	9	6	on	on	ADP
ap-660	9	7	the	the	DET
ap-660	9	8	contact	contact	NOUN
ap-660	9	9	of	of	ADP
ap-660	9	10	two	two	NUM
ap-660	9	11	bodies	body	NOUN
ap-660	9	12	does	do	AUX
ap-660	9	13	not	not	PART
ap-660	9	14	depend	depend	VERB
ap-660	9	15	on	on	ADP
ap-660	9	16	their	their	PRON
ap-660	9	17	properties	property	NOUN
ap-660	9	18	or	or	CCONJ
ap-660	9	19	on	on	ADP
ap-660	9	20	the	the	DET
ap-660	9	21	changes	change	NOUN
ap-660	9	22	in	in	ADP
ap-660	9	23	their	their	PRON
ap-660	9	24	volume	volume	NOUN
ap-660	9	25	and	and	CCONJ
ap-660	9	26	shape	shape	NOUN
ap-660	9	27	.	.	PUNCT
ap-660	10	1	fig	fig	NOUN
ap-660	10	2	.	.	PUNCT
ap-660	11	1	1	1	X
ap-660	11	2	.	.	PUNCT
ap-660	11	3	shows	show	VERB
ap-660	11	4	an	an	DET
ap-660	11	5	interaction	interaction	NOUN
ap-660	11	6	of	of	ADP
ap-660	11	7	the	the	DET
ap-660	11	8	forces	force	NOUN
ap-660	11	9	of	of	ADP
ap-660	11	10	two	two	NUM
ap-660	11	11	prismatic	prismatic	ADJ
ap-660	11	12	bodies	body	NOUN
ap-660	11	13	of	of	ADP
ap-660	11	14	identical	identical	ADJ
ap-660	11	15	transverse	transverse	NOUN
ap-660	11	16	dimensions	dimension	NOUN
ap-660	11	17	on	on	ADP
ap-660	11	18	a	a	DET
ap-660	11	19	contact	contact	NOUN
ap-660	11	20	surface	surface	NOUN
ap-660	11	21	from	from	ADP
ap-660	11	22	which	which	PRON
ap-660	11	23	friction	friction	NOUN
ap-660	11	24	has	have	AUX
ap-660	11	25	been	be	AUX
ap-660	11	26	excluded	exclude	VERB
ap-660	11	27	.	.	PUNCT
ap-660	12	1	in	in	ADP
ap-660	12	2	the	the	DET
ap-660	12	3	direction	direction	NOUN
ap-660	12	4	of	of	ADP
ap-660	12	5	the	the	DET
ap-660	12	6	first	first	ADJ
ap-660	12	7	principal	principal	ADJ
ap-660	12	8	axis	axis	NOUN
ap-660	12	9	both	both	DET
ap-660	12	10	bodies	body	NOUN
ap-660	12	11	are	be	AUX
ap-660	12	12	affected	affect	VERB
ap-660	12	13	by	by	ADP
ap-660	12	14	the	the	DET
ap-660	12	15	load	load	NOUN
ap-660	12	16	generating	generate	VERB
ap-660	12	17	longitudinal	longitudinal	ADJ
ap-660	12	18	principal	principal	ADJ
ap-660	12	19	stress	stress	NOUN
ap-660	12	20	�	�	NOUN
ap-660	12	21	1	1	NUM
ap-660	12	22	in	in	ADP
ap-660	12	23	them	they	PRON
ap-660	12	24	.	.	PUNCT
ap-660	13	1	the	the	DET
ap-660	13	2	left	left	ADJ
ap-660	13	3	body	body	NOUN
ap-660	13	4	is	be	AUX
ap-660	13	5	exposed	expose	VERB
ap-660	13	6	to	to	ADP
ap-660	13	7	a	a	DET
ap-660	13	8	uniaxial	uniaxial	ADJ
ap-660	13	9	load	load	NOUN
ap-660	13	10	,	,	PUNCT
ap-660	13	11	while	while	SCONJ
ap-660	13	12	the	the	DET
ap-660	13	13	right	right	ADJ
ap-660	13	14	body	body	NOUN
ap-660	13	15	is	be	AUX
ap-660	13	16	loaded	load	VERB
ap-660	13	17	additionally	additionally	ADV
ap-660	13	18	in	in	ADP
ap-660	13	19	the	the	DET
ap-660	13	20	principal	principal	ADJ
ap-660	13	21	directions	direction	NOUN
ap-660	13	22	x2	x2	ADJ
ap-660	13	23	,	,	PUNCT
ap-660	13	24	x3	x3	ADJ
ap-660	13	25	by	by	ADP
ap-660	13	26	a	a	DET
ap-660	13	27	load	load	NOUN
ap-660	13	28	generating	generate	VERB
ap-660	13	29	transverse	transverse	NOUN
ap-660	13	30	compressive	compressive	ADJ
ap-660	13	31	stresses	stress	NOUN
ap-660	13	32	of	of	ADP
ap-660	13	33	equal	equal	ADJ
ap-660	13	34	magnitude	magnitude	NOUN
ap-660	13	35	�	�	PROPN
ap-660	13	36	�	�	PROPN
ap-660	13	37	�	�	PROPN
ap-660	13	38	2	2	NUM
ap-660	13	39	3	3	NUM
ap-660	13	40	1	1	NUM
ap-660	13	41	�	�	PROPN
ap-660	13	42	�	�	PROPN
ap-660	13	43	.	.	PUNCT
ap-660	14	1	the	the	DET
ap-660	14	2	equilibrium	equilibrium	NOUN
ap-660	14	3	of	of	ADP
ap-660	14	4	the	the	DET
ap-660	14	5	forces	force	NOUN
ap-660	14	6	on	on	ADP
ap-660	14	7	the	the	DET
ap-660	14	8	contact	contact	NOUN
ap-660	14	9	surface	surface	NOUN
ap-660	14	10	will	will	AUX
ap-660	14	11	manifest	manifest	VERB
ap-660	14	12	itself	itself	PRON
ap-660	14	13	by	by	ADP
ap-660	14	14	the	the	DET
ap-660	14	15	equal	equal	ADJ
ap-660	14	16	principal	principal	NOUN
ap-660	14	17	stress	stress	NOUN
ap-660	14	18	�	�	PROPN
ap-660	14	19	1	1	NUM
ap-660	14	20	acting	act	VERB
ap-660	14	21	from	from	ADP
ap-660	14	22	both	both	PRON
ap-660	14	23	of	of	ADP
ap-660	14	24	its	its	PRON
ap-660	14	25	sides	side	NOUN
ap-660	14	26	.	.	PUNCT
ap-660	15	1	the	the	DET
ap-660	15	2	deformations	deformation	NOUN
ap-660	15	3	of	of	ADP
ap-660	15	4	the	the	DET
ap-660	15	5	two	two	NUM
ap-660	15	6	bodies	body	NOUN
ap-660	15	7	,	,	PUNCT
ap-660	15	8	however	however	ADV
ap-660	15	9	,	,	PUNCT
ap-660	15	10	are	be	AUX
ap-660	15	11	entirely	entirely	ADV
ap-660	15	12	different	different	ADJ
ap-660	15	13	.	.	PUNCT
ap-660	16	1	the	the	DET
ap-660	16	2	left	left	ADJ
ap-660	16	3	body	body	NOUN
ap-660	16	4	will	will	AUX
ap-660	16	5	be	be	AUX
ap-660	16	6	more	more	ADV
ap-660	16	7	compressed	compressed	ADJ
ap-660	16	8	longitudinally	longitudinally	ADV
ap-660	16	9	than	than	ADP
ap-660	16	10	the	the	DET
ap-660	16	11	right	right	ADJ
ap-660	16	12	body	body	NOUN
ap-660	16	13	.	.	PUNCT
ap-660	17	1	in	in	ADP
ap-660	17	2	the	the	DET
ap-660	17	3	transverse	transverse	NOUN
ap-660	17	4	direction	direction	NOUN
ap-660	17	5	the	the	DET
ap-660	17	6	left	left	ADJ
ap-660	17	7	body	body	NOUN
ap-660	17	8	will	will	AUX
ap-660	17	9	elongate	elongate	VERB
ap-660	17	10	,	,	PUNCT
ap-660	17	11	while	while	SCONJ
ap-660	17	12	the	the	DET
ap-660	17	13	right	right	ADJ
ap-660	17	14	body	body	NOUN
ap-660	17	15	will	will	AUX
ap-660	17	16	shorten	shorten	VERB
ap-660	17	17	.	.	PUNCT
ap-660	18	1	when	when	SCONJ
ap-660	18	2	the	the	DET
ap-660	18	3	stress	stress	NOUN
ap-660	18	4	attains	attain	VERB
ap-660	18	5	the	the	DET
ap-660	18	6	strength	strength	NOUN
ap-660	18	7	in	in	ADP
ap-660	18	8	uniaxial	uniaxial	ADJ
ap-660	18	9	compression	compression	NOUN
ap-660	18	10	,	,	PUNCT
ap-660	18	11	the	the	DET
ap-660	18	12	left	left	ADJ
ap-660	18	13	body	body	NOUN
ap-660	18	14	will	will	AUX
ap-660	18	15	fail	fail	VERB
ap-660	18	16	by	by	ADP
ap-660	18	17	a	a	DET
ap-660	18	18	crack	crack	NOUN
ap-660	18	19	parallel	parallel	NOUN
ap-660	18	20	with	with	ADP
ap-660	18	21	x1	x1	PROPN
ap-660	18	22	,	,	PUNCT
ap-660	18	23	while	while	SCONJ
ap-660	18	24	the	the	DET
ap-660	18	25	right	right	ADJ
ap-660	18	26	body	body	NOUN
ap-660	18	27	will	will	AUX
ap-660	18	28	not	not	PART
ap-660	18	29	fail	fail	VERB
ap-660	18	30	even	even	ADV
ap-660	18	31	under	under	ADP
ap-660	18	32	the	the	DET
ap-660	18	33	highest	high	ADJ
ap-660	18	34	values	value	NOUN
ap-660	18	35	of	of	ADP
ap-660	18	36	external	external	ADJ
ap-660	18	37	stresses	stress	NOUN
ap-660	18	38	.	.	PUNCT
ap-660	19	1	the	the	DET
ap-660	19	2	different	different	ADJ
ap-660	19	3	deformations	deformation	NOUN
ap-660	19	4	of	of	ADP
ap-660	19	5	the	the	DET
ap-660	19	6	two	two	NUM
ap-660	19	7	bodies	body	NOUN
ap-660	19	8	are	be	AUX
ap-660	19	9	shown	show	VERB
ap-660	19	10	illustratively	illustratively	ADV
ap-660	19	11	by	by	ADP
ap-660	19	12	the	the	DET
ap-660	19	13	deformation	deformation	NOUN
ap-660	19	14	of	of	ADP
ap-660	19	15	a	a	DET
ap-660	19	16	small	small	ADJ
ap-660	19	17	spherical	spherical	ADJ
ap-660	19	18	element	element	NOUN
ap-660	19	19	©	©	PROPN
ap-660	19	20	czech	czech	PROPN
ap-660	19	21	technical	technical	PROPN
ap-660	19	22	university	university	PROPN
ap-660	19	23	publishing	publishing	NOUN
ap-660	19	24	house	house	NOUN
ap-660	19	25	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-660	19	26	3	3	NUM
ap-660	19	27	czech	czech	PROPN
ap-660	19	28	technical	technical	PROPN
ap-660	19	29	university	university	PROPN
ap-660	19	30	in	in	ADP
ap-660	19	31	prague	prague	PROPN
ap-660	19	32	acta	acta	PROPN
ap-660	19	33	polytechnica	polytechnica	PROPN
ap-660	19	34	vol	vol	NOUN
ap-660	19	35	.	.	PROPN
ap-660	20	1	45	45	NUM
ap-660	20	2	no	no	NOUN
ap-660	20	3	.	.	PUNCT
ap-660	21	1	1/2005	1/2005	NUM
ap-660	21	2	deformation	deformation	NOUN
ap-660	21	3	stress	stress	NOUN
ap-660	21	4	state	state	NOUN
ap-660	21	5	of	of	ADP
ap-660	21	6	elastic	elastic	ADJ
ap-660	21	7	bodies	body	NOUN
ap-660	21	8	j.	j.	PROPN
ap-660	21	9	skokánek	skokánek	VERB
ap-660	21	10	the	the	DET
ap-660	21	11	theory	theory	NOUN
ap-660	21	12	of	of	ADP
ap-660	21	13	the	the	DET
ap-660	21	14	deformation	deformation	NOUN
ap-660	21	15	stress	stress	NOUN
ap-660	21	16	state	state	NOUN
ap-660	21	17	is	be	AUX
ap-660	21	18	based	base	VERB
ap-660	21	19	on	on	ADP
ap-660	21	20	the	the	DET
ap-660	21	21	actual	actual	ADJ
ap-660	21	22	corpuscular	corpuscular	NOUN
ap-660	21	23	structure	structure	NOUN
ap-660	21	24	of	of	ADP
ap-660	21	25	matter	matter	NOUN
ap-660	21	26	characterized	characterize	VERB
ap-660	21	27	in	in	ADP
ap-660	21	28	terms	term	NOUN
ap-660	21	29	of	of	ADP
ap-660	21	30	mechanics	mechanic	NOUN
ap-660	21	31	by	by	ADP
ap-660	21	32	the	the	DET
ap-660	21	33	fact	fact	NOUN
ap-660	21	34	that	that	SCONJ
ap-660	21	35	an	an	DET
ap-660	21	36	increase	increase	NOUN
ap-660	21	37	in	in	ADP
ap-660	21	38	the	the	DET
ap-660	21	39	distance	distance	NOUN
ap-660	21	40	of	of	ADP
ap-660	21	41	two	two	NUM
ap-660	21	42	adjacent	adjacent	ADJ
ap-660	21	43	atoms	atom	NOUN
ap-660	21	44	is	be	AUX
ap-660	21	45	accompanied	accompany	VERB
ap-660	21	46	by	by	ADP
ap-660	21	47	the	the	DET
ap-660	21	48	origin	origin	NOUN
ap-660	21	49	of	of	ADP
ap-660	21	50	an	an	DET
ap-660	21	51	attractive	attractive	ADJ
ap-660	21	52	force	force	NOUN
ap-660	21	53	and	and	CCONJ
ap-660	21	54	a	a	DET
ap-660	21	55	reduction	reduction	NOUN
ap-660	21	56	in	in	ADP
ap-660	21	57	their	their	PRON
ap-660	21	58	distance	distance	NOUN
ap-660	21	59	by	by	ADP
ap-660	21	60	the	the	DET
ap-660	21	61	origin	origin	NOUN
ap-660	21	62	of	of	ADP
ap-660	21	63	a	a	DET
ap-660	21	64	repulsive	repulsive	ADJ
ap-660	21	65	force	force	NOUN
ap-660	21	66	.	.	PUNCT
ap-660	22	1	these	these	DET
ap-660	22	2	forces	force	NOUN
ap-660	22	3	differ	differ	VERB
ap-660	22	4	significantly	significantly	ADV
ap-660	22	5	from	from	ADP
ap-660	22	6	the	the	DET
ap-660	22	7	classical	classical	ADJ
ap-660	22	8	internal	internal	ADJ
ap-660	22	9	forces	force	NOUN
ap-660	22	10	,	,	PUNCT
ap-660	22	11	which	which	PRON
ap-660	22	12	are	be	AUX
ap-660	22	13	the	the	DET
ap-660	22	14	forces	force	NOUN
ap-660	22	15	of	of	ADP
ap-660	22	16	the	the	DET
ap-660	22	17	mechanics	mechanic	NOUN
ap-660	22	18	of	of	ADP
ap-660	22	19	perfectly	perfectly	ADV
ap-660	22	20	solid	solid	ADJ
ap-660	22	21	bodies	body	NOUN
ap-660	22	22	.	.	PUNCT
ap-660	23	1	these	these	PRON
ap-660	23	2	express	express	VERB
ap-660	23	3	the	the	DET
ap-660	23	4	equilibrium	equilibrium	NOUN
ap-660	23	5	of	of	ADP
ap-660	23	6	forces	force	NOUN
ap-660	23	7	with	with	ADP
ap-660	23	8	reference	reference	NOUN
ap-660	23	9	to	to	ADP
ap-660	23	10	the	the	DET
ap-660	23	11	given	give	VERB
ap-660	23	12	area	area	NOUN
ap-660	23	13	within	within	ADP
ap-660	23	14	the	the	DET
ap-660	23	15	loaded	load	VERB
ap-660	23	16	body	body	NOUN
ap-660	23	17	,	,	PUNCT
ap-660	23	18	and	and	CCONJ
ap-660	23	19	have	have	VERB
ap-660	23	20	no	no	DET
ap-660	23	21	direct	direct	ADJ
ap-660	23	22	deformation	deformation	NOUN
ap-660	23	23	effect	effect	NOUN
ap-660	23	24	.	.	PUNCT
ap-660	24	1	this	this	DET
ap-660	24	2	paper	paper	NOUN
ap-660	24	3	defines	define	VERB
ap-660	24	4	the	the	DET
ap-660	24	5	quantities	quantity	NOUN
ap-660	24	6	of	of	ADP
ap-660	24	7	the	the	DET
ap-660	24	8	deformation	deformation	NOUN
ap-660	24	9	stress	stress	NOUN
ap-660	24	10	state	state	NOUN
ap-660	24	11	–	–	PUNCT
ap-660	24	12	the	the	DET
ap-660	24	13	deformation	deformation	NOUN
ap-660	24	14	force	force	NOUN
ap-660	24	15	and	and	CCONJ
ap-660	24	16	the	the	DET
ap-660	24	17	deformation	deformation	NOUN
ap-660	24	18	stress	stress	NOUN
ap-660	24	19	–	–	PUNCT
ap-660	24	20	the	the	DET
ap-660	24	21	direct	direct	ADJ
ap-660	24	22	manifestation	manifestation	NOUN
ap-660	24	23	of	of	ADP
ap-660	24	24	which	which	PRON
ap-660	24	25	is	be	AUX
ap-660	24	26	a	a	DET
ap-660	24	27	deformation	deformation	NOUN
ap-660	24	28	.	.	PUNCT
ap-660	25	1	the	the	DET
ap-660	25	2	author	author	NOUN
ap-660	25	3	introduces	introduce	VERB
ap-660	25	4	the	the	DET
ap-660	25	5	term	term	NOUN
ap-660	25	6	of	of	ADP
ap-660	25	7	deformation	deformation	NOUN
ap-660	25	8	stress	stress	NOUN
ap-660	25	9	state	state	NOUN
ap-660	25	10	theory	theory	NOUN
ap-660	25	11	(	(	PUNCT
ap-660	25	12	dss	dss	NOUN
ap-660	25	13	theory	theory	NOUN
ap-660	25	14	)	)	PUNCT
ap-660	25	15	to	to	ADP
ap-660	25	16	the	the	DET
ap-660	25	17	field	field	NOUN
ap-660	25	18	of	of	ADP
ap-660	25	19	the	the	DET
ap-660	25	20	theory	theory	NOUN
ap-660	25	21	of	of	ADP
ap-660	25	22	elasticity	elasticity	NOUN
ap-660	25	23	dealing	deal	VERB
ap-660	25	24	with	with	ADP
ap-660	25	25	the	the	DET
ap-660	25	26	stress	stress	ADJ
ap-660	25	27	state	state	NOUN
ap-660	25	28	of	of	ADP
ap-660	25	29	deformable	deformable	ADJ
ap-660	25	30	bodies	body	NOUN
ap-660	25	31	.	.	PUNCT
ap-660	26	1	the	the	DET
ap-660	26	2	quantities	quantity	NOUN
ap-660	26	3	and	and	CCONJ
ap-660	26	4	the	the	DET
ap-660	26	5	equations	equation	NOUN
ap-660	26	6	of	of	ADP
ap-660	26	7	this	this	DET
ap-660	26	8	theory	theory	NOUN
ap-660	26	9	also	also	ADV
ap-660	26	10	form	form	VERB
ap-660	26	11	the	the	DET
ap-660	26	12	basis	basis	NOUN
ap-660	26	13	for	for	ADP
ap-660	26	14	the	the	DET
ap-660	26	15	formulation	formulation	NOUN
ap-660	26	16	of	of	ADP
ap-660	26	17	the	the	DET
ap-660	26	18	theory	theory	NOUN
ap-660	26	19	of	of	ADP
ap-660	26	20	failure	failure	NOUN
ap-660	26	21	,	,	PUNCT
ap-660	26	22	which	which	PRON
ap-660	26	23	makes	make	VERB
ap-660	26	24	it	it	PRON
ap-660	26	25	possible	possible	ADJ
ap-660	26	26	to	to	PART
ap-660	26	27	determine	determine	VERB
ap-660	26	28	reliably	reliably	ADV
ap-660	26	29	the	the	DET
ap-660	26	30	safety	safety	NOUN
ap-660	26	31	margin	margin	NOUN
ap-660	26	32	and	and	CCONJ
ap-660	26	33	the	the	DET
ap-660	26	34	strength	strength	NOUN
ap-660	26	35	of	of	ADP
ap-660	26	36	a	a	DET
ap-660	26	37	multiaxially	multiaxially	ADV
ap-660	26	38	loaded	load	VERB
ap-660	26	39	body	body	NOUN
ap-660	26	40	from	from	ADP
ap-660	26	41	the	the	DET
ap-660	26	42	stress	stress	NOUN
ap-660	26	43	state	state	NOUN
ap-660	26	44	described	describe	VERB
ap-660	26	45	by	by	ADP
ap-660	26	46	the	the	DET
ap-660	26	47	static	static	ADJ
ap-660	26	48	quantities	quantity	NOUN
ap-660	26	49	(	(	PUNCT
ap-660	26	50	stress	stress	NOUN
ap-660	26	51	tensor	tensor	NOUN
ap-660	26	52	)	)	PUNCT
ap-660	26	53	and	and	CCONJ
ap-660	26	54	uniaxial	uniaxial	ADJ
ap-660	26	55	strength	strength	NOUN
ap-660	26	56	.	.	PUNCT
ap-660	27	1	keywords	keyword	NOUN
ap-660	27	2	:	:	PUNCT
ap-660	27	3	deformation	deformation	NOUN
ap-660	27	4	force	force	NOUN
ap-660	27	5	,	,	PUNCT
ap-660	27	6	deformation	deformation	NOUN
ap-660	27	7	stress	stress	NOUN
ap-660	27	8	,	,	PUNCT
ap-660	27	9	effective	effective	ADJ
ap-660	27	10	stress	stress	NOUN
ap-660	27	11	,	,	PUNCT
ap-660	27	12	effective	effective	ADJ
ap-660	27	13	strength	strength	NOUN
ap-660	27	14	,	,	PUNCT
ap-660	27	15	proportionality	proportionality	NOUN
ap-660	27	16	principle	principle	NOUN
ap-660	27	17	.	.	PUNCT
ap-660	28	1	fig	fig	NOUN
ap-660	28	2	.	.	PUNCT
ap-660	29	1	1	1	NUM
ap-660	29	2	:	:	PUNCT
ap-660	29	3	classical	classical	ADJ
ap-660	29	4	stress	stress	NOUN
ap-660	29	5	state	state	NOUN
ap-660	29	6	and	and	CCONJ
ap-660	29	7	deformation	deformation	NOUN
ap-660	29	8	state	state	NOUN
ap-660	29	9	at	at	ADP
ap-660	29	10	the	the	DET
ap-660	29	11	contact	contact	NOUN
ap-660	29	12	of	of	ADP
ap-660	29	13	two	two	NUM
ap-660	29	14	bodies	body	NOUN
ap-660	29	15	subjected	subject	VERB
ap-660	29	16	to	to	ADP
ap-660	29	17	different	different	ADJ
ap-660	29	18	loads	load	NOUN
ap-660	29	19	within	within	ADP
ap-660	29	20	the	the	DET
ap-660	29	21	right	right	NOUN
ap-660	29	22	and	and	CCONJ
ap-660	29	23	the	the	DET
ap-660	29	24	left	left	ADJ
ap-660	29	25	bodies	body	NOUN
ap-660	29	26	(	(	PUNCT
ap-660	29	27	fig	fig	NOUN
ap-660	29	28	.	.	PUNCT
ap-660	30	1	1a	1a	NOUN
ap-660	30	2	)	)	PUNCT
ap-660	30	3	.	.	PUNCT
ap-660	31	1	the	the	DET
ap-660	31	2	initial	initial	ADJ
ap-660	31	3	shape	shape	NOUN
ap-660	31	4	of	of	ADP
ap-660	31	5	the	the	DET
ap-660	31	6	elements	element	NOUN
ap-660	31	7	is	be	AUX
ap-660	31	8	drawn	draw	VERB
ap-660	31	9	by	by	ADP
ap-660	31	10	a	a	DET
ap-660	31	11	dashed	dash	VERB
ap-660	31	12	line	line	NOUN
ap-660	31	13	,	,	PUNCT
ap-660	31	14	and	and	CCONJ
ap-660	31	15	the	the	DET
ap-660	31	16	deformed	deform	VERB
ap-660	31	17	shape	shape	NOUN
ap-660	31	18	by	by	ADP
ap-660	31	19	a	a	DET
ap-660	31	20	solid	solid	ADJ
ap-660	31	21	line	line	NOUN
ap-660	31	22	.	.	PUNCT
ap-660	32	1	while	while	SCONJ
ap-660	32	2	stress	stress	NOUN
ap-660	32	3	�	�	PROPN
ap-660	32	4	1	1	NUM
ap-660	32	5	has	have	VERB
ap-660	32	6	the	the	DET
ap-660	32	7	same	same	ADJ
ap-660	32	8	value	value	NOUN
ap-660	32	9	in	in	ADP
ap-660	32	10	all	all	DET
ap-660	32	11	cross	cross	NOUN
ap-660	32	12	sections	section	NOUN
ap-660	32	13	of	of	ADP
ap-660	32	14	the	the	DET
ap-660	32	15	two	two	NUM
ap-660	32	16	bodies	body	NOUN
ap-660	32	17	perpendicular	perpendicular	ADJ
ap-660	32	18	to	to	ADP
ap-660	32	19	x1	x1	PROPN
ap-660	32	20	,	,	PUNCT
ap-660	32	21	the	the	DET
ap-660	32	22	spherical	spherical	ADJ
ap-660	32	23	element	element	NOUN
ap-660	32	24	within	within	ADP
ap-660	32	25	the	the	DET
ap-660	32	26	left	left	ADJ
ap-660	32	27	body	body	NOUN
ap-660	32	28	is	be	AUX
ap-660	32	29	deformed	deform	VERB
ap-660	32	30	entirely	entirely	ADV
ap-660	32	31	differently	differently	ADV
ap-660	32	32	from	from	ADP
ap-660	32	33	the	the	DET
ap-660	32	34	spherical	spherical	ADJ
ap-660	32	35	element	element	NOUN
ap-660	32	36	within	within	ADP
ap-660	32	37	the	the	DET
ap-660	32	38	right	right	ADJ
ap-660	32	39	body	body	NOUN
ap-660	32	40	.	.	PUNCT
ap-660	33	1	the	the	DET
ap-660	33	2	different	different	ADJ
ap-660	33	3	deformations	deformation	NOUN
ap-660	33	4	of	of	ADP
ap-660	33	5	the	the	DET
ap-660	33	6	two	two	NUM
ap-660	33	7	bodies	body	NOUN
ap-660	33	8	are	be	AUX
ap-660	33	9	illustrated	illustrate	VERB
ap-660	33	10	in	in	ADP
ap-660	33	11	fig	fig	NOUN
ap-660	33	12	.	.	PUNCT
ap-660	34	1	1b	1b	NUM
ap-660	34	2	,	,	PUNCT
ap-660	34	3	showing	show	VERB
ap-660	34	4	the	the	DET
ap-660	34	5	deformation	deformation	NOUN
ap-660	34	6	of	of	ADP
ap-660	34	7	the	the	DET
ap-660	34	8	two	two	NUM
ap-660	34	9	halves	half	NOUN
ap-660	34	10	of	of	ADP
ap-660	34	11	the	the	DET
ap-660	34	12	initially	initially	ADV
ap-660	34	13	spherical	spherical	ADJ
ap-660	34	14	element	element	NOUN
ap-660	34	15	with	with	ADP
ap-660	34	16	the	the	DET
ap-660	34	17	centre	centre	NOUN
ap-660	34	18	on	on	ADP
ap-660	34	19	their	their	PRON
ap-660	34	20	contact	contact	NOUN
ap-660	34	21	surface	surface	NOUN
ap-660	34	22	.	.	PUNCT
ap-660	35	1	from	from	ADP
ap-660	35	2	the	the	DET
ap-660	35	3	axiom	axiom	NOUN
ap-660	35	4	of	of	ADP
ap-660	35	5	the	the	DET
ap-660	35	6	composition	composition	NOUN
ap-660	35	7	and	and	CCONJ
ap-660	35	8	resolution	resolution	NOUN
ap-660	35	9	of	of	ADP
ap-660	35	10	forces	force	NOUN
ap-660	35	11	it	it	PRON
ap-660	35	12	follows	follow	VERB
ap-660	35	13	that	that	SCONJ
ap-660	35	14	the	the	DET
ap-660	35	15	two	two	NUM
ap-660	35	16	vectors	vector	NOUN
ap-660	35	17	of	of	ADP
ap-660	35	18	opposite	opposite	ADJ
ap-660	35	19	directions	direction	NOUN
ap-660	35	20	of	of	ADP
ap-660	35	21	the	the	DET
ap-660	35	22	resulting	result	VERB
ap-660	35	23	stress	stress	NOUN
ap-660	35	24	can	can	AUX
ap-660	35	25	be	be	AUX
ap-660	35	26	resolved	resolve	VERB
ap-660	35	27	into	into	ADP
ap-660	35	28	any	any	DET
ap-660	35	29	number	number	NOUN
ap-660	35	30	of	of	ADP
ap-660	35	31	components	component	NOUN
ap-660	35	32	without	without	ADP
ap-660	35	33	disturbing	disturb	VERB
ap-660	35	34	the	the	DET
ap-660	35	35	state	state	NOUN
ap-660	35	36	of	of	ADP
ap-660	35	37	equilibrium	equilibrium	NOUN
ap-660	35	38	or	or	CCONJ
ap-660	35	39	changing	change	VERB
ap-660	35	40	the	the	DET
ap-660	35	41	deformation	deformation	NOUN
ap-660	35	42	of	of	ADP
ap-660	35	43	either	either	DET
ap-660	35	44	body	body	NOUN
ap-660	35	45	.	.	PUNCT
ap-660	36	1	the	the	DET
ap-660	36	2	resolution	resolution	NOUN
ap-660	36	3	of	of	ADP
ap-660	36	4	the	the	DET
ap-660	36	5	vectors	vector	NOUN
ap-660	36	6	does	do	AUX
ap-660	36	7	not	not	PART
ap-660	36	8	influence	influence	VERB
ap-660	36	9	the	the	DET
ap-660	36	10	deformation	deformation	NOUN
ap-660	36	11	state	state	NOUN
ap-660	36	12	or	or	CCONJ
ap-660	36	13	the	the	DET
ap-660	36	14	stress	stress	NOUN
ap-660	36	15	state	state	NOUN
ap-660	36	16	.	.	PUNCT
ap-660	37	1	fig	fig	NOUN
ap-660	37	2	.	.	PUNCT
ap-660	38	1	2	2	NUM
ap-660	38	2	shows	show	VERB
ap-660	38	3	a	a	DET
ap-660	38	4	case	case	NOUN
ap-660	38	5	of	of	ADP
ap-660	38	6	resolution	resolution	NOUN
ap-660	38	7	of	of	ADP
ap-660	38	8	the	the	DET
ap-660	38	9	resulting	result	VERB
ap-660	38	10	stress	stress	NOUN
ap-660	38	11	vector	vector	NOUN
ap-660	38	12	�	�	PROPN
ap-660	38	13	acting	act	VERB
ap-660	38	14	obliquely	obliquely	ADV
ap-660	38	15	on	on	ADP
ap-660	38	16	a	a	DET
ap-660	38	17	plane	plane	NOUN
ap-660	38	18	p	p	NOUN
ap-660	38	19	within	within	ADP
ap-660	38	20	the	the	DET
ap-660	38	21	loaded	load	VERB
ap-660	38	22	body	body	NOUN
ap-660	38	23	into	into	ADP
ap-660	38	24	various	various	ADJ
ap-660	38	25	components	component	NOUN
ap-660	38	26	.	.	PUNCT
ap-660	39	1	fig	fig	NOUN
ap-660	39	2	.	.	PUNCT
ap-660	40	1	2a	2a	PROPN
ap-660	40	2	shows	show	VERB
ap-660	40	3	the	the	DET
ap-660	40	4	usual	usual	ADJ
ap-660	40	5	vector	vector	NOUN
ap-660	40	6	resolution	resolution	NOUN
ap-660	40	7	into	into	ADP
ap-660	40	8	two	two	NUM
ap-660	40	9	components	component	NOUN
ap-660	40	10	–	–	PUNCT
ap-660	40	11	normal	normal	ADJ
ap-660	40	12	�	�	NOUN
ap-660	40	13	n	n	CCONJ
ap-660	40	14	and	and	CCONJ
ap-660	40	15	tangential	tangential	ADJ
ap-660	40	16	�	�	NOUN
ap-660	40	17	.	.	PUNCT
ap-660	41	1	any	any	DET
ap-660	41	2	stress	stress	NOUN
ap-660	41	3	vector	vector	NOUN
ap-660	41	4	resolution	resolution	NOUN
ap-660	41	5	different	different	ADJ
ap-660	41	6	on	on	ADP
ap-660	41	7	both	both	DET
ap-660	41	8	sides	side	NOUN
ap-660	41	9	of	of	ADP
ap-660	41	10	the	the	DET
ap-660	41	11	surface	surface	NOUN
ap-660	41	12	does	do	AUX
ap-660	41	13	not	not	PART
ap-660	41	14	change	change	VERB
ap-660	41	15	either	either	CCONJ
ap-660	41	16	the	the	DET
ap-660	41	17	stress	stress	NOUN
ap-660	41	18	or	or	CCONJ
ap-660	41	19	the	the	DET
ap-660	41	20	deformation	deformation	NOUN
ap-660	41	21	.	.	PUNCT
ap-660	42	1	fig	fig	NOUN
ap-660	42	2	.	.	PUNCT
ap-660	43	1	2b	2b	NUM
ap-660	43	2	shows	show	VERB
ap-660	43	3	one	one	NUM
ap-660	43	4	of	of	ADP
ap-660	43	5	the	the	DET
ap-660	43	6	infinite	infinite	ADJ
ap-660	43	7	number	number	NOUN
ap-660	43	8	of	of	ADP
ap-660	43	9	cases	case	NOUN
ap-660	43	10	of	of	ADP
ap-660	43	11	the	the	DET
ap-660	43	12	possible	possible	ADJ
ap-660	43	13	resolution	resolution	NOUN
ap-660	43	14	of	of	ADP
ap-660	43	15	the	the	DET
ap-660	43	16	resulting	result	VERB
ap-660	43	17	stresses	stress	NOUN
ap-660	43	18	in	in	ADP
ap-660	43	19	the	the	DET
ap-660	43	20	same	same	ADJ
ap-660	43	21	stress	stress	NOUN
ap-660	43	22	state	state	NOUN
ap-660	43	23	as	as	ADP
ap-660	43	24	in	in	ADP
ap-660	43	25	fig	fig	NOUN
ap-660	43	26	.	.	PUNCT
ap-660	44	1	2a	2a	NUM
ap-660	44	2	.	.	PUNCT
ap-660	45	1	in	in	ADP
ap-660	45	2	the	the	DET
ap-660	45	3	resulting	result	VERB
ap-660	45	4	stress	stress	NOUN
ap-660	45	5	direction	direction	NOUN
ap-660	45	6	of	of	ADP
ap-660	45	7	the	the	DET
ap-660	45	8	right	right	ADJ
ap-660	45	9	side	side	NOUN
ap-660	45	10	,	,	PUNCT
ap-660	45	11	the	the	DET
ap-660	45	12	stress	stress	NOUN
ap-660	45	13	component	component	NOUN
ap-660	45	14	on	on	ADP
ap-660	45	15	the	the	DET
ap-660	45	16	other	other	ADJ
ap-660	45	17	side	side	NOUN
ap-660	45	18	can	can	AUX
ap-660	45	19	have	have	VERB
ap-660	45	20	an	an	DET
ap-660	45	21	entirely	entirely	ADV
ap-660	45	22	different	different	ADJ
ap-660	45	23	magnitude	magnitude	NOUN
ap-660	45	24	.	.	PUNCT
ap-660	46	1	the	the	DET
ap-660	46	2	resolution	resolution	NOUN
ap-660	46	3	of	of	ADP
ap-660	46	4	every	every	DET
ap-660	46	5	resulting	result	VERB
ap-660	46	6	stress	stress	NOUN
ap-660	46	7	vector	vector	NOUN
ap-660	46	8	acting	act	VERB
ap-660	46	9	on	on	ADP
ap-660	46	10	three	three	NUM
ap-660	46	11	mutually	mutually	ADV
ap-660	46	12	perpendicular	perpendicular	ADJ
ap-660	46	13	planes	plane	NOUN
ap-660	46	14	into	into	ADP
ap-660	46	15	three	three	NUM
ap-660	46	16	components	component	NOUN
ap-660	46	17	is	be	AUX
ap-660	46	18	useful	useful	ADJ
ap-660	46	19	for	for	ADP
ap-660	46	20	the	the	DET
ap-660	46	21	definition	definition	NOUN
ap-660	46	22	of	of	ADP
ap-660	46	23	the	the	DET
ap-660	46	24	three	three	NUM
ap-660	46	25	-	-	PUNCT
ap-660	46	26	dimensional	dimensional	ADJ
ap-660	46	27	stress	stress	NOUN
ap-660	46	28	state	state	NOUN
ap-660	46	29	by	by	ADP
ap-660	46	30	means	mean	NOUN
ap-660	46	31	of	of	ADP
ap-660	46	32	the	the	DET
ap-660	46	33	stress	stress	NOUN
ap-660	46	34	tensor;	tensor;	ADP
ap-660	46	35	however	however	ADV
ap-660	46	36	,	,	PUNCT
ap-660	46	37	it	it	PRON
ap-660	46	38	is	be	AUX
ap-660	46	39	incorrect	incorrect	ADJ
ap-660	46	40	to	to	PART
ap-660	46	41	assign	assign	VERB
ap-660	46	42	to	to	ADP
ap-660	46	43	the	the	DET
ap-660	46	44	individual	individual	ADJ
ap-660	46	45	stresses	stress	NOUN
ap-660	46	46	or	or	CCONJ
ap-660	46	47	even	even	ADV
ap-660	46	48	to	to	ADP
ap-660	46	49	their	their	PRON
ap-660	46	50	components	component	NOUN
ap-660	46	51	any	any	DET
ap-660	46	52	influence	influence	NOUN
ap-660	46	53	on	on	ADP
ap-660	46	54	the	the	DET
ap-660	46	55	deformation	deformation	NOUN
ap-660	46	56	(	(	PUNCT
ap-660	46	57	deformation	deformation	NOUN
ap-660	46	58	effect	effect	NOUN
ap-660	46	59	)	)	PUNCT
ap-660	46	60	.	.	PUNCT
ap-660	47	1	1.2	1.2	NUM
ap-660	47	2	erroneous	erroneous	ADJ
ap-660	47	3	opinion	opinion	NOUN
ap-660	47	4	of	of	ADP
ap-660	47	5	the	the	DET
ap-660	47	6	deformation	deformation	NOUN
ap-660	47	7	effect	effect	NOUN
ap-660	47	8	of	of	ADP
ap-660	47	9	stress	stress	NOUN
ap-660	47	10	tensor	tensor	NOUN
ap-660	47	11	components	component	NOUN
ap-660	47	12	the	the	DET
ap-660	47	13	relation	relation	NOUN
ap-660	47	14	between	between	ADP
ap-660	47	15	principle	principle	NOUN
ap-660	47	16	stresses	stress	NOUN
ap-660	47	17	and	and	CCONJ
ap-660	47	18	principal	principal	ADJ
ap-660	47	19	relative	relative	ADJ
ap-660	47	20	elongations	elongation	NOUN
ap-660	47	21	is	be	AUX
ap-660	47	22	defined	define	VERB
ap-660	47	23	by	by	ADP
ap-660	47	24	the	the	DET
ap-660	47	25	extended	extended	ADJ
ap-660	47	26	hooke	hooke	PROPN
ap-660	47	27	’s	’s	PART
ap-660	47	28	law	law	PROPN
ap-660	47	29	�	�	PROPN
ap-660	47	30	�	�	PROPN
ap-660	47	31	1	1	NUM
ap-660	47	32	1	1	NUM
ap-660	47	33	2	2	NUM
ap-660	47	34	3	3	NUM
ap-660	47	35	�	�	PROPN
ap-660	47	36	�	�	PROPN
ap-660	47	37	�	�	PROPN
ap-660	47	38	�	�	PROPN
ap-660	47	39	�	�	PROPN
ap-660	47	40	�	�	PROPN
ap-660	47	41	(	(	PUNCT
ap-660	47	42	)	)	PUNCT
ap-660	47	43	e	e	NOUN
ap-660	47	44	,	,	PUNCT
ap-660	47	45	(	(	PUNCT
ap-660	47	46	1a	1a	X
ap-660	47	47	)	)	PUNCT
ap-660	47	48	�	�	PROPN
ap-660	47	49	�	�	PROPN
ap-660	47	50	2	2	NUM
ap-660	47	51	2	2	NUM
ap-660	47	52	3	3	NUM
ap-660	47	53	1	1	NUM
ap-660	47	54	�	�	PROPN
ap-660	47	55	�	�	PROPN
ap-660	47	56	�	�	PROPN
ap-660	47	57	�	�	PROPN
ap-660	47	58	�	�	PROPN
ap-660	47	59	�	�	PROPN
ap-660	47	60	(	(	PUNCT
ap-660	47	61	)	)	PUNCT
ap-660	47	62	e	e	NOUN
ap-660	47	63	,	,	PUNCT
ap-660	47	64	(	(	PUNCT
ap-660	47	65	1b	1b	NUM
ap-660	47	66	)	)	PUNCT
ap-660	47	67	�	�	PROPN
ap-660	47	68	�	�	PROPN
ap-660	47	69	3	3	NUM
ap-660	47	70	3	3	NUM
ap-660	47	71	1	1	NUM
ap-660	47	72	2	2	NUM
ap-660	47	73	�	�	PROPN
ap-660	47	74	�	�	PROPN
ap-660	47	75	�	�	PROPN
ap-660	47	76	�	�	PROPN
ap-660	47	77	�	�	PROPN
ap-660	47	78	�	�	PROPN
ap-660	47	79	(	(	PUNCT
ap-660	47	80	)	)	PUNCT
ap-660	47	81	e	e	X
ap-660	47	82	.	.	PUNCT
ap-660	48	1	(	(	PUNCT
ap-660	48	2	1c	1c	NOUN
ap-660	48	3	)	)	PUNCT
ap-660	48	4	if	if	SCONJ
ap-660	48	5	two	two	NUM
ap-660	48	6	principal	principal	NOUN
ap-660	48	7	stresses	stress	VERB
ap-660	48	8	equal	equal	ADJ
ap-660	48	9	zero	zero	NUM
ap-660	48	10	,	,	PUNCT
ap-660	48	11	we	we	PRON
ap-660	48	12	speak	speak	VERB
ap-660	48	13	about	about	ADP
ap-660	48	14	a	a	DET
ap-660	48	15	uniaxial	uniaxial	ADJ
ap-660	48	16	stress	stress	NOUN
ap-660	48	17	state	state	NOUN
ap-660	48	18	.	.	PUNCT
ap-660	49	1	we	we	PRON
ap-660	49	2	obtain	obtain	VERB
ap-660	49	3	the	the	DET
ap-660	49	4	relation	relation	NOUN
ap-660	49	5	between	between	ADP
ap-660	49	6	the	the	DET
ap-660	49	7	single	single	ADJ
ap-660	49	8	principal	principal	NOUN
ap-660	49	9	stress	stress	NOUN
ap-660	49	10	different	different	ADJ
ap-660	49	11	from	from	ADP
ap-660	49	12	zero	zero	NUM
ap-660	49	13	and	and	CCONJ
ap-660	49	14	the	the	DET
ap-660	49	15	first	first	ADJ
ap-660	49	16	principal	principal	ADJ
ap-660	49	17	elongation	elongation	NOUN
ap-660	49	18	(	(	PUNCT
ap-660	49	19	basic	basic	ADJ
ap-660	49	20	hooke	hooke	PROPN
ap-660	49	21	’s	’s	PART
ap-660	49	22	law	law	NOUN
ap-660	49	23	)	)	PUNCT
ap-660	49	24	by	by	ADP
ap-660	49	25	the	the	DET
ap-660	49	26	substitution	substitution	NOUN
ap-660	49	27	�	�	PROPN
ap-660	49	28	�	�	PROPN
ap-660	49	29	2	2	NUM
ap-660	49	30	3	3	NUM
ap-660	49	31	0	0	NUM
ap-660	49	32	�	�	PROPN
ap-660	49	33	�	�	PROPN
ap-660	49	34	in	in	ADP
ap-660	49	35	eq	eq	PROPN
ap-660	49	36	.	.	PUNCT
ap-660	50	1	(	(	PUNCT
ap-660	50	2	1a	1a	X
ap-660	50	3	)	)	PUNCT
ap-660	50	4	�	�	NOUN
ap-660	50	5	1	1	NUM
ap-660	50	6	1	1	NUM
ap-660	50	7	�	�	PROPN
ap-660	50	8	�	�	PROPN
ap-660	50	9	e	e	PROPN
ap-660	50	10	.	.	PUNCT
ap-660	51	1	(	(	PUNCT
ap-660	51	2	2a	2a	NUM
ap-660	51	3	)	)	PUNCT
ap-660	51	4	from	from	ADP
ap-660	51	5	the	the	DET
ap-660	51	6	two	two	NUM
ap-660	51	7	equations	equation	NOUN
ap-660	51	8	(	(	PUNCT
ap-660	51	9	1b	1b	NUM
ap-660	51	10	)	)	PUNCT
ap-660	51	11	and	and	CCONJ
ap-660	51	12	(	(	PUNCT
ap-660	51	13	1c	1c	NOUN
ap-660	51	14	)	)	PUNCT
ap-660	51	15	we	we	PRON
ap-660	51	16	obtain	obtain	VERB
ap-660	51	17	�	�	PROPN
ap-660	51	18	�	�	PROPN
ap-660	51	19	�	�	PROPN
ap-660	51	20	�	�	PROPN
ap-660	51	21	�	�	PROPN
ap-660	51	22	2	2	NUM
ap-660	51	23	3	3	NUM
ap-660	51	24	1	1	NUM
ap-660	51	25	1	1	NUM
ap-660	51	26	�	�	PROPN
ap-660	51	27	�	�	PROPN
ap-660	51	28	�	�	PROPN
ap-660	51	29	�	�	PROPN
ap-660	51	30	�	�	PROPN
ap-660	51	31	�	�	PROPN
ap-660	51	32	e	e	PROPN
ap-660	51	33	.	.	PUNCT
ap-660	52	1	(	(	PUNCT
ap-660	52	2	2b	2b	NUM
ap-660	52	3	)	)	PUNCT
ap-660	52	4	the	the	DET
ap-660	52	5	general	general	PROPN
ap-660	52	6	hooke	hooke	PROPN
ap-660	52	7	’s	’s	PART
ap-660	52	8	law	law	NOUN
ap-660	52	9	makes	make	VERB
ap-660	52	10	it	it	PRON
ap-660	52	11	obvious	obvious	ADJ
ap-660	52	12	that	that	SCONJ
ap-660	52	13	every	every	DET
ap-660	52	14	principal	principal	ADJ
ap-660	52	15	relative	relative	ADJ
ap-660	52	16	elongation	elongation	NOUN
ap-660	52	17	depends	depend	VERB
ap-660	52	18	on	on	ADP
ap-660	52	19	all	all	DET
ap-660	52	20	principal	principal	ADJ
ap-660	52	21	stresses	stress	NOUN
ap-660	52	22	,	,	PUNCT
ap-660	52	23	and	and	CCONJ
ap-660	52	24	not	not	PART
ap-660	52	25	only	only	ADV
ap-660	52	26	on	on	ADP
ap-660	52	27	the	the	DET
ap-660	52	28	principal	principal	ADJ
ap-660	52	29	stress	stress	NOUN
ap-660	52	30	of	of	ADP
ap-660	52	31	identical	identical	ADJ
ap-660	52	32	direction	direction	NOUN
ap-660	52	33	.	.	PUNCT
ap-660	53	1	in	in	ADP
ap-660	53	2	the	the	DET
ap-660	53	3	preceding	precede	VERB
ap-660	53	4	paragraph	paragraph	NOUN
ap-660	53	5	we	we	PRON
ap-660	53	6	pointed	point	VERB
ap-660	53	7	out	out	ADP
ap-660	53	8	that	that	SCONJ
ap-660	53	9	none	none	NOUN
ap-660	53	10	of	of	ADP
ap-660	53	11	the	the	DET
ap-660	53	12	principal	principal	NOUN
ap-660	53	13	stresses	stress	NOUN
ap-660	53	14	will	will	AUX
ap-660	53	15	change	change	VERB
ap-660	53	16	due	due	ADP
ap-660	53	17	to	to	ADP
ap-660	53	18	any	any	DET
ap-660	53	19	change	change	NOUN
ap-660	53	20	in	in	ADP
ap-660	53	21	the	the	DET
ap-660	53	22	other	other	ADJ
ap-660	53	23	principal	principal	NOUN
ap-660	53	24	stresses	stress	NOUN
ap-660	53	25	.	.	PUNCT
ap-660	54	1	at	at	ADP
ap-660	54	2	the	the	DET
ap-660	54	3	same	same	ADJ
ap-660	54	4	time	time	NOUN
ap-660	54	5	every	every	DET
ap-660	54	6	change	change	NOUN
ap-660	54	7	of	of	ADP
ap-660	54	8	one	one	NUM
ap-660	54	9	of	of	ADP
ap-660	54	10	the	the	DET
ap-660	54	11	principal	principal	ADJ
ap-660	54	12	stresses	stress	NOUN
ap-660	54	13	will	will	AUX
ap-660	54	14	produce	produce	VERB
ap-660	54	15	a	a	DET
ap-660	54	16	change	change	NOUN
ap-660	54	17	of	of	ADP
ap-660	54	18	the	the	DET
ap-660	54	19	relative	relative	ADJ
ap-660	54	20	longitudinal	longitudinal	ADJ
ap-660	54	21	deformation	deformation	NOUN
ap-660	54	22	in	in	ADP
ap-660	54	23	every	every	DET
ap-660	54	24	direction	direction	NOUN
ap-660	54	25	from	from	ADP
ap-660	54	26	the	the	DET
ap-660	54	27	given	give	VERB
ap-660	54	28	point	point	NOUN
ap-660	54	29	.	.	PUNCT
ap-660	55	1	in	in	ADP
ap-660	55	2	the	the	DET
ap-660	55	3	case	case	NOUN
ap-660	55	4	of	of	ADP
ap-660	55	5	a	a	DET
ap-660	55	6	multiaxial	multiaxial	ADJ
ap-660	55	7	stress	stress	NOUN
ap-660	55	8	state	state	NOUN
ap-660	55	9	,	,	PUNCT
ap-660	55	10	the	the	DET
ap-660	55	11	relative	relative	ADJ
ap-660	55	12	elongation	elongation	NOUN
ap-660	55	13	in	in	ADP
ap-660	55	14	the	the	DET
ap-660	55	15	direction	direction	NOUN
ap-660	55	16	of	of	ADP
ap-660	55	17	the	the	DET
ap-660	55	18	given	give	VERB
ap-660	55	19	principal	principal	ADJ
ap-660	55	20	stress	stress	NOUN
ap-660	55	21	may	may	AUX
ap-660	55	22	attain	attain	VERB
ap-660	55	23	different	different	ADJ
ap-660	55	24	magnitudes	magnitude	NOUN
ap-660	55	25	depending	depend	VERB
ap-660	55	26	on	on	ADP
ap-660	55	27	the	the	DET
ap-660	55	28	other	other	ADJ
ap-660	55	29	principal	principal	NOUN
ap-660	55	30	stresses	stress	NOUN
ap-660	55	31	.	.	PUNCT
ap-660	56	1	this	this	PRON
ap-660	56	2	is	be	AUX
ap-660	56	3	shown	show	VERB
ap-660	56	4	in	in	ADP
ap-660	56	5	table	table	NOUN
ap-660	56	6	1	1	NUM
ap-660	56	7	,	,	PUNCT
ap-660	56	8	which	which	PRON
ap-660	56	9	gives	give	VERB
ap-660	56	10	the	the	DET
ap-660	56	11	relative	relative	ADJ
ap-660	56	12	elongation	elongation	NOUN
ap-660	56	13	value	value	NOUN
ap-660	56	14	(	(	PUNCT
ap-660	56	15	computed	compute	VERB
ap-660	56	16	by	by	ADP
ap-660	56	17	means	mean	NOUN
ap-660	56	18	of	of	ADP
ap-660	56	19	the	the	DET
ap-660	56	20	expanded	expand	VERB
ap-660	56	21	hooke	hooke	PROPN
ap-660	56	22	’s	’s	PART
ap-660	56	23	relation	relation	NOUN
ap-660	56	24	)	)	PUNCT
ap-660	56	25	in	in	ADP
ap-660	56	26	the	the	DET
ap-660	56	27	zero	zero	NUM
ap-660	56	28	stress	stress	NOUN
ap-660	56	29	direction	direction	NOUN
ap-660	56	30	for	for	ADP
ap-660	56	31	various	various	ADJ
ap-660	56	32	values	value	NOUN
ap-660	56	33	of	of	ADP
ap-660	56	34	the	the	DET
ap-660	56	35	remaining	remain	VERB
ap-660	56	36	two	two	NUM
ap-660	56	37	principal	principal	ADJ
ap-660	56	38	stresses	stress	NOUN
ap-660	56	39	.	.	PUNCT
ap-660	57	1	the	the	DET
ap-660	57	2	selected	select	VERB
ap-660	57	3	modulus	modulus	NOUN
ap-660	57	4	of	of	ADP
ap-660	57	5	elasticity	elasticity	NOUN
ap-660	57	6	is	be	AUX
ap-660	57	7	e	e	NOUN
ap-660	57	8	�	�	PROPN
ap-660	57	9	1	1	NUM
ap-660	57	10	,	,	PUNCT
ap-660	57	11	poisson	poisson	PROPN
ap-660	57	12	’s	’s	PART
ap-660	57	13	coefficient	coefficient	PROPN
ap-660	57	14	�	�	PROPN
ap-660	57	15	�	�	PROPN
ap-660	57	16	025	025	NUM
ap-660	57	17	.	.	PUNCT
ap-660	57	18	.	.	PUNCT
ap-660	58	1	depending	depend	VERB
ap-660	58	2	on	on	ADP
ap-660	58	3	the	the	DET
ap-660	58	4	overall	overall	ADJ
ap-660	58	5	stress	stress	NOUN
ap-660	58	6	state	state	NOUN
ap-660	58	7	,	,	PUNCT
ap-660	58	8	the	the	DET
ap-660	58	9	relative	relative	ADJ
ap-660	58	10	elongations	elongation	NOUN
ap-660	58	11	in	in	ADP
ap-660	58	12	the	the	DET
ap-660	58	13	zero	zero	NUM
ap-660	58	14	stress	stress	NOUN
ap-660	58	15	direction	direction	NOUN
ap-660	58	16	may	may	AUX
ap-660	58	17	have	have	VERB
ap-660	58	18	positive	positive	ADJ
ap-660	58	19	or	or	CCONJ
ap-660	58	20	negative	negative	ADJ
ap-660	58	21	values	value	NOUN
ap-660	58	22	.	.	PUNCT
ap-660	59	1	item	item	NOUN
ap-660	59	2	6	6	NUM
ap-660	59	3	even	even	ADV
ap-660	59	4	shows	show	VERB
ap-660	59	5	a	a	DET
ap-660	59	6	case	case	NOUN
ap-660	59	7	when	when	SCONJ
ap-660	59	8	the	the	DET
ap-660	59	9	body	body	NOUN
ap-660	59	10	elongates	elongate	VERB
ap-660	59	11	in	in	ADP
ap-660	59	12	the	the	DET
ap-660	59	13	compressive	compressive	ADJ
ap-660	59	14	stress	stress	NOUN
ap-660	59	15	direction	direction	NOUN
ap-660	59	16	due	due	ADP
ap-660	59	17	to	to	ADP
ap-660	59	18	the	the	DET
ap-660	59	19	effect	effect	NOUN
ap-660	59	20	of	of	ADP
ap-660	59	21	major	major	ADJ
ap-660	59	22	transverse	transverse	NOUN
ap-660	59	23	compressive	compressive	NOUN
ap-660	59	24	stresses	stress	NOUN
ap-660	59	25	.	.	PUNCT
ap-660	60	1	in	in	ADP
ap-660	60	2	this	this	DET
ap-660	60	3	case	case	NOUN
ap-660	60	4	,	,	PUNCT
ap-660	60	5	during	during	ADP
ap-660	60	6	increasing	increase	VERB
ap-660	60	7	stresses	stress	NOUN
ap-660	60	8	the	the	DET
ap-660	60	9	body	body	NOUN
ap-660	60	10	apparently	apparently	ADV
ap-660	60	11	paradoxically	paradoxically	ADV
ap-660	60	12	breaks	break	VERB
ap-660	60	13	in	in	ADP
ap-660	60	14	the	the	DET
ap-660	60	15	compressive	compressive	ADJ
ap-660	60	16	stress	stress	NOUN
ap-660	60	17	direction	direction	NOUN
ap-660	60	18	after	after	ADP
ap-660	60	19	achieving	achieve	VERB
ap-660	60	20	a	a	DET
ap-660	60	21	certain	certain	ADJ
ap-660	60	22	limit	limit	NOUN
ap-660	60	23	of	of	ADP
ap-660	60	24	transverse	transverse	NOUN
ap-660	60	25	compressive	compressive	ADJ
ap-660	60	26	stresses	stress	NOUN
ap-660	60	27	.	.	PUNCT
ap-660	61	1	these	these	DET
ap-660	61	2	statements	statement	NOUN
ap-660	61	3	are	be	AUX
ap-660	61	4	confirmed	confirm	VERB
ap-660	61	5	by	by	ADP
ap-660	61	6	the	the	DET
ap-660	61	7	tests	test	NOUN
ap-660	61	8	made	make	VERB
ap-660	61	9	by	by	ADP
ap-660	61	10	bridgman	bridgman	NOUN
ap-660	61	11	[	[	X
ap-660	61	12	1	1	NUM
ap-660	61	13	]	]	PUNCT
ap-660	61	14	with	with	ADP
ap-660	61	15	glass	glass	NOUN
ap-660	61	16	and	and	CCONJ
ap-660	61	17	steel	steel	NOUN
ap-660	61	18	bars	bar	NOUN
ap-660	61	19	installed	instal	VERB
ap-660	61	20	in	in	ADP
ap-660	61	21	a	a	DET
ap-660	61	22	high	high	ADJ
ap-660	61	23	-	-	PUNCT
ap-660	61	24	pressure	pressure	NOUN
ap-660	61	25	chamber	chamber	NOUN
ap-660	61	26	in	in	ADP
ap-660	61	27	such	such	DET
ap-660	61	28	a	a	DET
ap-660	61	29	way	way	NOUN
ap-660	61	30	that	that	PRON
ap-660	61	31	their	their	PRON
ap-660	61	32	ends	end	NOUN
ap-660	61	33	protruded	protrude	VERB
ap-660	61	34	from	from	ADP
ap-660	61	35	the	the	DET
ap-660	61	36	chamber	chamber	NOUN
ap-660	61	37	(	(	PUNCT
ap-660	61	38	fig	fig	NOUN
ap-660	61	39	.	.	PUNCT
ap-660	62	1	3	3	NUM
ap-660	62	2	)	)	PUNCT
ap-660	62	3	.	.	PUNCT
ap-660	63	1	the	the	DET
ap-660	63	2	successively	successively	ADV
ap-660	63	3	increasing	increase	VERB
ap-660	63	4	pressure	pressure	NOUN
ap-660	63	5	of	of	ADP
ap-660	63	6	the	the	DET
ap-660	63	7	liquid	liquid	NOUN
ap-660	63	8	increased	increase	VERB
ap-660	63	9	both	both	DET
ap-660	63	10	transverse	transverse	NOUN
ap-660	63	11	principal	principal	ADJ
ap-660	63	12	stresses	stress	NOUN
ap-660	63	13	,	,	PUNCT
ap-660	63	14	while	while	SCONJ
ap-660	63	15	the	the	DET
ap-660	63	16	longitudinal	longitudinal	ADJ
ap-660	63	17	stress	stress	NOUN
ap-660	63	18	remained	remain	VERB
ap-660	63	19	at	at	ADP
ap-660	63	20	zero	zero	NUM
ap-660	63	21	level	level	NOUN
ap-660	63	22	.	.	PUNCT
ap-660	64	1	when	when	SCONJ
ap-660	64	2	a	a	DET
ap-660	64	3	certain	certain	ADJ
ap-660	64	4	limit	limit	NOUN
ap-660	64	5	of	of	ADP
ap-660	64	6	transverse	transverse	NOUN
ap-660	64	7	compressive	compressive	ADJ
ap-660	64	8	stress	stress	NOUN
ap-660	64	9	(	(	PUNCT
ap-660	64	10	pressure	pressure	NOUN
ap-660	64	11	in	in	ADP
ap-660	64	12	the	the	DET
ap-660	64	13	liquid	liquid	NOUN
ap-660	64	14	)	)	PUNCT
ap-660	64	15	was	be	AUX
ap-660	64	16	attained	attain	VERB
ap-660	64	17	,	,	PUNCT
ap-660	64	18	the	the	DET
ap-660	64	19	bar	bar	NOUN
ap-660	64	20	broke	break	VERB
ap-660	64	21	in	in	ADP
ap-660	64	22	the	the	DET
ap-660	64	23	zero	zero	NUM
ap-660	64	24	stress	stress	NOUN
ap-660	64	25	direction	direction	NOUN
ap-660	64	26	.	.	PUNCT
ap-660	65	1	bridgman	bridgman	PROPN
ap-660	65	2	was	be	AUX
ap-660	65	3	unable	unable	ADJ
ap-660	65	4	to	to	PART
ap-660	65	5	explain	explain	VERB
ap-660	65	6	the	the	DET
ap-660	65	7	cause	cause	NOUN
ap-660	65	8	of	of	ADP
ap-660	65	9	this	this	DET
ap-660	65	10	failure	failure	NOUN
ap-660	65	11	.	.	PUNCT
ap-660	66	1	he	he	PRON
ap-660	66	2	merely	merely	ADV
ap-660	66	3	stated	state	VERB
ap-660	66	4	that	that	SCONJ
ap-660	66	5	the	the	DET
ap-660	66	6	origin	origin	NOUN
ap-660	66	7	of	of	ADP
ap-660	66	8	the	the	DET
ap-660	66	9	failure	failure	NOUN
ap-660	66	10	could	could	AUX
ap-660	66	11	not	not	PART
ap-660	66	12	be	be	AUX
ap-660	66	13	explained	explain	VERB
ap-660	66	14	by	by	ADP
ap-660	66	15	any	any	DET
ap-660	66	16	known	know	VERB
ap-660	66	17	hypothesis	hypothesis	NOUN
ap-660	66	18	.	.	PUNCT
ap-660	67	1	he	he	PRON
ap-660	67	2	considered	consider	VERB
ap-660	67	3	the	the	DET
ap-660	67	4	hypo4	hypo4	NOUN
ap-660	68	1	©	©	PROPN
ap-660	68	2	czech	czech	PROPN
ap-660	68	3	technical	technical	PROPN
ap-660	68	4	university	university	PROPN
ap-660	68	5	publishing	publishing	NOUN
ap-660	68	6	house	house	NOUN
ap-660	68	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-660	68	8	acta	acta	PROPN
ap-660	68	9	polytechnica	polytechnica	PROPN
ap-660	68	10	vol	vol	NOUN
ap-660	68	11	.	.	PROPN
ap-660	69	1	45	45	NUM
ap-660	69	2	no	no	NOUN
ap-660	69	3	.	.	PUNCT
ap-660	70	1	1/2005	1/2005	NUM
ap-660	70	2	czech	czech	PROPN
ap-660	70	3	technical	technical	PROPN
ap-660	70	4	university	university	PROPN
ap-660	70	5	in	in	ADP
ap-660	70	6	prague	prague	PROPN
ap-660	70	7	fig	fig	NOUN
ap-660	70	8	.	.	PUNCT
ap-660	71	1	2	2	NUM
ap-660	71	2	:	:	PUNCT
ap-660	71	3	different	different	ADJ
ap-660	71	4	cases	case	NOUN
ap-660	71	5	of	of	ADP
ap-660	71	6	resolution	resolution	NOUN
ap-660	71	7	of	of	ADP
ap-660	71	8	the	the	DET
ap-660	71	9	resulting	result	VERB
ap-660	71	10	stress	stress	NOUN
ap-660	71	11	into	into	ADP
ap-660	71	12	its	its	PRON
ap-660	71	13	components	component	NOUN
ap-660	71	14	item	item	NOUN
ap-660	71	15	�	�	PROPN
ap-660	71	16	1	1	NUM
ap-660	71	17	�	�	PROPN
ap-660	71	18	2	2	NUM
ap-660	71	19	�	�	PROPN
ap-660	71	20	3	3	NUM
ap-660	71	21	e	e	NOUN
ap-660	71	22	�	�	NOUN
ap-660	71	23	1	1	NUM
ap-660	71	24	1	1	NUM
ap-660	71	25	0	0	NUM
ap-660	71	26	�	�	PROPN
ap-660	71	27	100	100	NUM
ap-660	71	28	�	�	PROPN
ap-660	71	29	100	100	NUM
ap-660	71	30	0	0	NUM
ap-660	71	31	2	2	NUM
ap-660	71	32	0	0	NUM
ap-660	71	33	0	0	NUM
ap-660	71	34	�	�	PROPN
ap-660	71	35	100	100	NUM
ap-660	71	36	�	�	NOUN
ap-660	71	37	25	25	NUM
ap-660	71	38	3	3	NUM
ap-660	71	39	0	0	NUM
ap-660	71	40	0	0	NUM
ap-660	71	41	�	�	PROPN
ap-660	71	42	100	100	NUM
ap-660	71	43	�	�	NOUN
ap-660	71	44	25	25	NUM
ap-660	71	45	4	4	NUM
ap-660	71	46	0	0	NUM
ap-660	71	47	�	�	PROPN
ap-660	71	48	100	100	NUM
ap-660	71	49	�	�	PROPN
ap-660	71	50	100	100	NUM
ap-660	71	51	�	�	NOUN
ap-660	71	52	50	50	NUM
ap-660	71	53	5	5	NUM
ap-660	71	54	0	0	NUM
ap-660	71	55	�	�	PROPN
ap-660	71	56	100	100	NUM
ap-660	71	57	�	�	PROPN
ap-660	71	58	100	100	NUM
ap-660	71	59	�	�	PROPN
ap-660	71	60	50	50	NUM
ap-660	71	61	6	6	NUM
ap-660	71	62	�	�	PROPN
ap-660	71	63	25	25	NUM
ap-660	71	64	�	�	PROPN
ap-660	71	65	100	100	NUM
ap-660	71	66	�	�	PROPN
ap-660	71	67	100	100	NUM
ap-660	71	68	�	�	NOUN
ap-660	71	69	25	25	NUM
ap-660	71	70	table	table	NOUN
ap-660	71	71	1	1	NUM
ap-660	71	72	thesis	thesis	NOUN
ap-660	71	73	of	of	ADP
ap-660	71	74	maximum	maximum	ADJ
ap-660	71	75	relative	relative	ADJ
ap-660	71	76	elongation	elongation	NOUN
ap-660	71	77	to	to	PART
ap-660	71	78	be	be	AUX
ap-660	71	79	the	the	DET
ap-660	71	80	most	most	ADV
ap-660	71	81	likely	likely	ADJ
ap-660	71	82	,	,	PUNCT
ap-660	71	83	but	but	CCONJ
ap-660	71	84	his	his	PRON
ap-660	71	85	tests	test	NOUN
ap-660	71	86	showed	show	VERB
ap-660	71	87	that	that	SCONJ
ap-660	71	88	the	the	DET
ap-660	71	89	bars	bar	NOUN
ap-660	71	90	broke	break	VERB
ap-660	71	91	under	under	ADP
ap-660	71	92	the	the	DET
ap-660	71	93	effect	effect	NOUN
ap-660	71	94	of	of	ADP
ap-660	71	95	markedly	markedly	ADV
ap-660	71	96	higher	high	ADJ
ap-660	71	97	liquid	liquid	ADJ
ap-660	71	98	pressure	pressure	NOUN
ap-660	71	99	than	than	ADP
ap-660	71	100	those	those	PRON
ap-660	71	101	corresponding	correspond	VERB
ap-660	71	102	with	with	ADP
ap-660	71	103	this	this	DET
ap-660	71	104	hypothesis	hypothesis	NOUN
ap-660	71	105	.	.	PUNCT
ap-660	72	1	to	to	PART
ap-660	72	2	express	express	VERB
ap-660	72	3	the	the	DET
ap-660	72	4	relation	relation	NOUN
ap-660	72	5	between	between	ADP
ap-660	72	6	the	the	DET
ap-660	72	7	stress	stress	NOUN
ap-660	72	8	state	state	NOUN
ap-660	72	9	and	and	CCONJ
ap-660	72	10	the	the	DET
ap-660	72	11	further	further	ADJ
ap-660	72	12	deformation	deformation	NOUN
ap-660	72	13	stress	stress	NOUN
ap-660	72	14	state	state	NOUN
ap-660	72	15	problems	problem	NOUN
ap-660	72	16	elaborated	elaborate	VERB
ap-660	72	17	later	later	ADV
ap-660	72	18	on	on	ADP
ap-660	72	19	this	this	DET
ap-660	72	20	paper	paper	NOUN
ap-660	72	21	,	,	PUNCT
ap-660	72	22	it	it	PRON
ap-660	72	23	is	be	AUX
ap-660	72	24	necessary	necessary	ADJ
ap-660	72	25	to	to	PART
ap-660	72	26	express	express	VERB
ap-660	72	27	the	the	DET
ap-660	72	28	relative	relative	ADJ
ap-660	72	29	longitudinal	longitudinal	ADJ
ap-660	72	30	change	change	NOUN
ap-660	72	31	in	in	ADP
ap-660	72	32	any	any	DET
ap-660	72	33	direction	direction	NOUN
ap-660	72	34	from	from	ADP
ap-660	72	35	the	the	DET
ap-660	72	36	given	give	VERB
ap-660	72	37	point	point	NOUN
ap-660	72	38	by	by	ADP
ap-660	72	39	a	a	DET
ap-660	72	40	simple	simple	ADJ
ap-660	72	41	equation	equation	NOUN
ap-660	72	42	.	.	PUNCT
ap-660	73	1	the	the	DET
ap-660	73	2	relative	relative	ADJ
ap-660	73	3	elongation	elongation	NOUN
ap-660	73	4	in	in	ADP
ap-660	73	5	a	a	DET
ap-660	73	6	general	general	ADJ
ap-660	73	7	direction	direction	NOUN
ap-660	73	8	�	�	PROPN
ap-660	73	9	1	1	NUM
ap-660	73	10	,	,	PUNCT
ap-660	73	11	�	�	PROPN
ap-660	73	12	2	2	NUM
ap-660	73	13	,	,	PUNCT
ap-660	73	14	�	�	PROPN
ap-660	73	15	3	3	NUM
ap-660	73	16	of	of	ADP
ap-660	73	17	any	any	DET
ap-660	73	18	triaxially	triaxially	ADV
ap-660	73	19	loaded	load	VERB
ap-660	73	20	body	body	NOUN
ap-660	73	21	(	(	PUNCT
ap-660	73	22	fig	fig	NOUN
ap-660	73	23	.	.	PUNCT
ap-660	73	24	4	4	NUM
ap-660	73	25	)	)	PUNCT
ap-660	73	26	can	can	AUX
ap-660	73	27	be	be	AUX
ap-660	73	28	defined	define	VERB
ap-660	73	29	by	by	ADP
ap-660	73	30	means	mean	NOUN
ap-660	73	31	of	of	ADP
ap-660	73	32	given	give	VERB
ap-660	73	33	principal	principal	ADJ
ap-660	73	34	relative	relative	ADJ
ap-660	73	35	elongations	elongation	NOUN
ap-660	73	36	�	�	PROPN
ap-660	73	37	1	1	NUM
ap-660	73	38	,	,	PUNCT
ap-660	73	39	�	�	PROPN
ap-660	73	40	2	2	NUM
ap-660	73	41	,	,	PUNCT
ap-660	73	42	�	�	PROPN
ap-660	73	43	3	3	NUM
ap-660	73	44	by	by	ADP
ap-660	73	45	the	the	DET
ap-660	73	46	known	know	VERB
ap-660	73	47	equation	equation	NOUN
ap-660	73	48	�	�	PROPN
ap-660	73	49	�	�	PROPN
ap-660	73	50	�	�	PROPN
ap-660	73	51	�	�	PROPN
ap-660	73	52	�	�	PROPN
ap-660	73	53	�	�	PROPN
ap-660	73	54	�	�	PROPN
ap-660	73	55	�	�	PROPN
ap-660	73	56	�	�	PROPN
ap-660	73	57	�	�	PROPN
ap-660	73	58	1	1	NUM
ap-660	73	59	2	2	NUM
ap-660	73	60	1	1	NUM
ap-660	73	61	2	2	NUM
ap-660	73	62	2	2	NUM
ap-660	73	63	2	2	NUM
ap-660	73	64	3	3	NUM
ap-660	73	65	2	2	NUM
ap-660	73	66	3cos	3cos	PROPN
ap-660	73	67	cos	cos	PROPN
ap-660	73	68	cos	cos	PROPN
ap-660	73	69	.	.	PUNCT
ap-660	74	1	(	(	PUNCT
ap-660	74	2	3	3	X
ap-660	74	3	)	)	PUNCT
ap-660	74	4	the	the	DET
ap-660	74	5	equation	equation	NOUN
ap-660	74	6	for	for	ADP
ap-660	74	7	relative	relative	ADJ
ap-660	74	8	elongation	elongation	NOUN
ap-660	74	9	in	in	ADP
ap-660	74	10	a	a	DET
ap-660	74	11	general	general	ADJ
ap-660	74	12	direction	direction	NOUN
ap-660	74	13	�	�	PROPN
ap-660	74	14	of	of	ADP
ap-660	74	15	a	a	DET
ap-660	74	16	uniaxially	uniaxially	ADV
ap-660	74	17	loaded	load	VERB
ap-660	74	18	body	body	NOUN
ap-660	74	19	can	can	AUX
ap-660	74	20	be	be	AUX
ap-660	74	21	derived	derive	VERB
ap-660	74	22	from	from	ADP
ap-660	74	23	this	this	DET
ap-660	74	24	equation	equation	NOUN
ap-660	74	25	by	by	ADP
ap-660	74	26	putting	put	VERB
ap-660	74	27	�	�	PROPN
ap-660	74	28	�	�	PROPN
ap-660	74	29	1	1	NUM
ap-660	74	30	�	�	PROPN
ap-660	74	31	,	,	PUNCT
ap-660	74	32	�	�	PROPN
ap-660	74	33	�	�	PROPN
ap-660	74	34	�	�	PROPN
ap-660	74	35	�	�	PROPN
ap-660	74	36	2	2	NUM
ap-660	74	37	3	3	NUM
ap-660	74	38	2	2	NUM
ap-660	74	39	�	�	PROPN
ap-660	74	40	�	�	PROPN
ap-660	74	41	�	�	PROPN
ap-660	74	42	,	,	PUNCT
ap-660	74	43	�	�	PROPN
ap-660	74	44	�	�	PROPN
ap-660	74	45	�	�	PROPN
ap-660	74	46	�	�	PROPN
ap-660	74	47	2	2	NUM
ap-660	74	48	3	3	NUM
ap-660	74	49	1	1	NUM
ap-660	74	50	�	�	PROPN
ap-660	74	51	�	�	PROPN
ap-660	74	52	�	�	PROPN
ap-660	74	53	,	,	PUNCT
ap-660	74	54	�	�	PROPN
ap-660	74	55	�	�	PROPN
ap-660	74	56	�	�	PROPN
ap-660	74	57	�	�	PROPN
ap-660	74	58	�	�	PROPN
ap-660	74	59	�	�	PROPN
ap-660	74	60	�	�	PROPN
ap-660	74	61	�	�	PROPN
ap-660	74	62	�	�	PROPN
ap-660	74	63	�	�	PROPN
ap-660	74	64	�	�	PROPN
ap-660	74	65	1	1	NUM
ap-660	74	66	21	21	NUM
ap-660	74	67	(	(	PUNCT
ap-660	74	68	)	)	PUNCT
ap-660	74	69	cos	cos	X
ap-660	74	70	(	(	PUNCT
ap-660	74	71	4	4	NUM
ap-660	74	72	)	)	PUNCT
ap-660	74	73	and	and	CCONJ
ap-660	74	74	by	by	ADP
ap-660	74	75	the	the	DET
ap-660	74	76	substitution	substitution	NOUN
ap-660	74	77	of	of	ADP
ap-660	74	78	�	�	PROPN
ap-660	74	79	1	1	NUM
ap-660	74	80	1	1	NUM
ap-660	74	81	�	�	PROPN
ap-660	74	82	�	�	PROPN
ap-660	74	83	e	e	PROPN
ap-660	74	84	�	�	PROPN
ap-660	74	85	�	�	PROPN
ap-660	74	86	�	�	PROPN
ap-660	74	87	�	�	PROPN
ap-660	74	88	�	�	PROPN
ap-660	74	89	�	�	PROPN
ap-660	74	90	�	�	PROPN
ap-660	74	91	�	�	PROPN
ap-660	74	92	�	�	PROPN
ap-660	74	93	�	�	PROPN
ap-660	74	94	�	�	PROPN
ap-660	74	95	1	1	NUM
ap-660	74	96	21	21	NUM
ap-660	74	97	(	(	PUNCT
ap-660	74	98	)	)	PUNCT
ap-660	74	99	cos	cos	PROPN
ap-660	74	100	e	e	PROPN
ap-660	74	101	.	.	PUNCT
ap-660	75	1	(	(	PUNCT
ap-660	75	2	5	5	NUM
ap-660	75	3	)	)	PUNCT
ap-660	75	4	in	in	ADP
ap-660	75	5	a	a	DET
ap-660	75	6	triaxially	triaxially	ADV
ap-660	75	7	loaded	load	VERB
ap-660	75	8	body	body	NOUN
ap-660	75	9	the	the	DET
ap-660	75	10	relative	relative	ADJ
ap-660	75	11	elongation	elongation	NOUN
ap-660	75	12	in	in	ADP
ap-660	75	13	a	a	DET
ap-660	75	14	general	general	ADJ
ap-660	75	15	direction	direction	NOUN
ap-660	75	16	expressed	express	VERB
ap-660	75	17	by	by	ADP
ap-660	75	18	angles	angle	NOUN
ap-660	75	19	�	�	PROPN
ap-660	75	20	1	1	NUM
ap-660	75	21	,	,	PUNCT
ap-660	75	22	�	�	PROPN
ap-660	75	23	2	2	NUM
ap-660	75	24	,	,	PUNCT
ap-660	75	25	�	�	PROPN
ap-660	75	26	3	3	NUM
ap-660	75	27	can	can	AUX
ap-660	75	28	be	be	AUX
ap-660	75	29	determined	determine	VERB
ap-660	75	30	by	by	ADP
ap-660	75	31	the	the	DET
ap-660	75	32	superposition	superposition	NOUN
ap-660	75	33	of	of	ADP
ap-660	75	34	the	the	DET
ap-660	75	35	relative	relative	ADJ
ap-660	75	36	elongations	elongation	NOUN
ap-660	75	37	produced	produce	VERB
ap-660	75	38	by	by	ADP
ap-660	75	39	all	all	DET
ap-660	75	40	uniaxial	uniaxial	ADJ
ap-660	75	41	principal	principal	NOUN
ap-660	75	42	stresses	stress	VERB
ap-660	75	43	�	�	PROPN
ap-660	75	44	�	�	PROPN
ap-660	75	45	�	�	PROPN
ap-660	75	46	�	�	PROPN
ap-660	75	47	�	�	PROPN
ap-660	75	48	�	�	PROPN
ap-660	75	49	�	�	PROPN
ap-660	75	50	�	�	PROPN
ap-660	75	51	�	�	PROPN
ap-660	75	52	�	�	PROPN
ap-660	75	53	�	�	PROPN
ap-660	75	54	�	�	PROPN
ap-660	75	55	�	�	PROPN
ap-660	75	56	�	�	PROPN
ap-660	75	57	�	�	PROPN
ap-660	75	58	�	�	PROPN
ap-660	75	59	�	�	PROPN
ap-660	75	60	�	�	PROPN
ap-660	75	61	�	�	PROPN
ap-660	75	62	�	�	PROPN
ap-660	75	63	�	�	PROPN
ap-660	75	64	�	�	PROPN
ap-660	75	65	�	�	PROPN
ap-660	75	66	�	�	PROPN
ap-660	75	67	�	�	PROPN
ap-660	75	68	�	�	PROPN
ap-660	75	69	�	�	PROPN
ap-660	75	70	1	1	NUM
ap-660	75	71	2	2	NUM
ap-660	75	72	1	1	NUM
ap-660	75	73	2	2	NUM
ap-660	75	74	2	2	NUM
ap-660	75	75	2	2	NUM
ap-660	75	76	3	3	NUM
ap-660	75	77	2	2	NUM
ap-660	75	78	3	3	NUM
ap-660	75	79	1	1	NUM
ap-660	75	80	1	1	NUM
ap-660	75	81	1	1	NUM
ap-660	75	82	(	(	PUNCT
ap-660	76	1	)	)	PUNCT
ap-660	76	2	cos	cos	PROPN
ap-660	76	3	(	(	PUNCT
ap-660	76	4	)	)	PUNCT
ap-660	76	5	cos	cos	PROPN
ap-660	76	6	(	(	PUNCT
ap-660	76	7	)	)	PUNCT
ap-660	76	8	cos	cos	ADP
ap-660	76	9	e	e	PROPN
ap-660	76	10	�	�	PROPN
ap-660	76	11	e	e	X
ap-660	76	12	.	.	PUNCT
ap-660	77	1	(	(	PUNCT
ap-660	77	2	6	6	X
ap-660	77	3	)	)	PUNCT
ap-660	77	4	it	it	PRON
ap-660	77	5	is	be	AUX
ap-660	77	6	more	more	ADV
ap-660	77	7	advantageous	advantageous	ADJ
ap-660	77	8	to	to	PART
ap-660	77	9	express	express	VERB
ap-660	77	10	the	the	DET
ap-660	77	11	relative	relative	ADJ
ap-660	77	12	elongation	elongation	NOUN
ap-660	77	13	�	�	PROPN
ap-660	77	14	in	in	ADP
ap-660	77	15	spherical	spherical	ADJ
ap-660	77	16	coordinates	coordinate	NOUN
ap-660	77	17	�	�	PROPN
ap-660	77	18	,	,	PUNCT
ap-660	77	19	�	�	PROPN
ap-660	77	20	,	,	PUNCT
ap-660	77	21	for	for	ADP
ap-660	77	22	which	which	PRON
ap-660	77	23	it	it	PRON
ap-660	77	24	holds	hold	VERB
ap-660	77	25	that	that	SCONJ
ap-660	77	26	(	(	PUNCT
ap-660	77	27	fig	fig	NOUN
ap-660	77	28	.	.	PUNCT
ap-660	78	1	4	4	X
ap-660	78	2	)	)	PUNCT
ap-660	78	3	cos	cos	ADP
ap-660	78	4	cos2	cos2	PROPN
ap-660	78	5	1	1	NUM
ap-660	78	6	2	2	NUM
ap-660	78	7	�	�	PROPN
ap-660	78	8	�	�	PROPN
ap-660	78	9	�	�	PROPN
ap-660	78	10	,	,	PUNCT
ap-660	78	11	(	(	PUNCT
ap-660	78	12	7	7	X
ap-660	78	13	)	)	PUNCT
ap-660	78	14	cos	cos	ADP
ap-660	78	15	sin	sin	NOUN
ap-660	78	16	cos2	cos2	PROPN
ap-660	78	17	2	2	NUM
ap-660	78	18	2	2	NUM
ap-660	78	19	2	2	NUM
ap-660	78	20	�	�	PROPN
ap-660	78	21	�	�	PROPN
ap-660	78	22	�	�	PROPN
ap-660	78	23	�	�	PROPN
ap-660	78	24	,	,	PUNCT
ap-660	78	25	(	(	PUNCT
ap-660	78	26	8)	8)	NUM
ap-660	78	27	cos	cos	PROPN
ap-660	78	28	sin	sin	NOUN
ap-660	78	29	sin2	sin2	NOUN
ap-660	78	30	3	3	NUM
ap-660	78	31	2	2	NUM
ap-660	78	32	2	2	NUM
ap-660	78	33	�	�	PROPN
ap-660	78	34	�	�	PROPN
ap-660	78	35	�	�	PROPN
ap-660	78	36	�	�	PROPN
ap-660	78	37	.	.	PUNCT
ap-660	79	1	(	(	PUNCT
ap-660	79	2	9	9	X
ap-660	79	3	)	)	PUNCT
ap-660	79	4	substitution	substitution	NOUN
ap-660	79	5	in	in	ADP
ap-660	79	6	eq	eq	ADP
ap-660	79	7	.	.	PUNCT
ap-660	80	1	(	(	PUNCT
ap-660	80	2	6	6	NUM
ap-660	80	3	)	)	PUNCT
ap-660	80	4	yields	yield	VERB
ap-660	80	5	the	the	DET
ap-660	80	6	equation	equation	NOUN
ap-660	80	7	of	of	ADP
ap-660	80	8	relative	relative	ADJ
ap-660	80	9	elongation	elongation	NOUN
ap-660	80	10	of	of	ADP
ap-660	80	11	a	a	DET
ap-660	80	12	triaxially	triaxially	ADV
ap-660	80	13	loaded	load	VERB
ap-660	80	14	body	body	NOUN
ap-660	80	15	in	in	ADP
ap-660	80	16	a	a	DET
ap-660	80	17	general	general	ADJ
ap-660	80	18	direction	direction	NOUN
ap-660	80	19	�	�	PROPN
ap-660	80	20	�	�	PROPN
ap-660	80	21	�	�	PROPN
ap-660	80	22	�	�	PROPN
ap-660	80	23	�	�	PROPN
ap-660	80	24	�	�	PROPN
ap-660	80	25	�	�	PROPN
ap-660	80	26	�	�	PROPN
ap-660	80	27	�	�	PROPN
ap-660	80	28	�	�	PROPN
ap-660	80	29	�	�	PROPN
ap-660	80	30	�	�	PROPN
ap-660	80	31	�	�	PROPN
ap-660	80	32	�	�	PROPN
ap-660	80	33	�	�	PROPN
ap-660	80	34	�	�	PROPN
ap-660	80	35	�	�	PROPN
ap-660	80	36	�	�	PROPN
ap-660	80	37	�	�	PROPN
ap-660	80	38	�	�	PROPN
ap-660	80	39	�	�	PROPN
ap-660	80	40	�	�	PROPN
ap-660	80	41	�	�	PROPN
ap-660	80	42	�	�	PROPN
ap-660	80	43	�	�	PROPN
ap-660	80	44	�	�	PROPN
ap-660	80	45	1	1	NUM
ap-660	80	46	2	2	NUM
ap-660	80	47	2	2	NUM
ap-660	80	48	2	2	NUM
ap-660	80	49	2	2	NUM
ap-660	80	50	3	3	NUM
ap-660	80	51	1	1	NUM
ap-660	80	52	1	1	NUM
ap-660	80	53	1	1	NUM
ap-660	80	54	(	(	PUNCT
ap-660	80	55	)	)	PUNCT
ap-660	80	56	cos	cos	PROPN
ap-660	80	57	(	(	PUNCT
ap-660	80	58	)	)	PUNCT
ap-660	80	59	sin	sin	NOUN
ap-660	80	60	cos	cos	PROPN
ap-660	80	61	(	(	PUNCT
ap-660	80	62	)	)	PUNCT
ap-660	80	63	si	si	PROPN
ap-660	80	64	e	e	PROPN
ap-660	80	65	e	e	PROPN
ap-660	80	66	�	�	PROPN
ap-660	80	67	�	�	PROPN
ap-660	80	68	n	n	PART
ap-660	80	69	sin	sin	NOUN
ap-660	80	70	.	.	PUNCT
ap-660	81	1	2	2	NUM
ap-660	81	2	2	2	NUM
ap-660	81	3	�	�	PROPN
ap-660	81	4	�	�	PROPN
ap-660	81	5	�	�	PROPN
ap-660	81	6	�	�	PROPN
ap-660	81	7	e	e	PROPN
ap-660	81	8	(	(	PUNCT
ap-660	81	9	10	10	NUM
ap-660	81	10	)	)	PUNCT
ap-660	81	11	1.3	1.3	NUM
ap-660	81	12	actual	actual	ADJ
ap-660	81	13	significance	significance	NOUN
ap-660	81	14	of	of	ADP
ap-660	81	15	shear	shear	NOUN
ap-660	81	16	stress	stress	NOUN
ap-660	81	17	in	in	ADP
ap-660	81	18	case	case	NOUN
ap-660	81	19	of	of	ADP
ap-660	81	20	a	a	DET
ap-660	81	21	general	general	ADJ
ap-660	81	22	stress	stress	NOUN
ap-660	81	23	state	state	NOUN
ap-660	81	24	,	,	PUNCT
ap-660	81	25	the	the	DET
ap-660	81	26	vector	vector	NOUN
ap-660	81	27	of	of	ADP
ap-660	81	28	the	the	DET
ap-660	81	29	resulting	result	VERB
ap-660	81	30	force	force	NOUN
ap-660	81	31	is	be	AUX
ap-660	81	32	applied	apply	VERB
ap-660	81	33	obliquely	obliquely	ADV
ap-660	81	34	to	to	ADP
ap-660	81	35	a	a	DET
ap-660	81	36	certain	certain	ADJ
ap-660	81	37	cross	cross	NOUN
ap-660	81	38	section	section	NOUN
ap-660	81	39	area	area	NOUN
ap-660	81	40	.	.	PUNCT
ap-660	82	1	in	in	ADP
ap-660	82	2	such	such	DET
ap-660	82	3	a	a	DET
ap-660	82	4	case	case	NOUN
ap-660	82	5	the	the	DET
ap-660	82	6	resulting	result	VERB
ap-660	82	7	internal	internal	ADJ
ap-660	82	8	force	force	NOUN
ap-660	82	9	is	be	AUX
ap-660	82	10	usually	usually	ADV
ap-660	82	11	resolved	resolve	VERB
ap-660	82	12	into	into	ADP
ap-660	82	13	the	the	DET
ap-660	82	14	normal	normal	ADJ
ap-660	82	15	component	component	NOUN
ap-660	82	16	and	and	CCONJ
ap-660	82	17	two	two	NUM
ap-660	82	18	tangential	tangential	ADJ
ap-660	82	19	components	component	NOUN
ap-660	82	20	.	.	PUNCT
ap-660	83	1	it	it	PRON
ap-660	83	2	follows	follow	VERB
ap-660	83	3	from	from	ADP
ap-660	83	4	this	this	PRON
ap-660	83	5	that	that	SCONJ
ap-660	83	6	the	the	DET
ap-660	83	7	stress	stress	NOUN
ap-660	83	8	expresses	express	VERB
ap-660	83	9	the	the	DET
ap-660	83	10	equilibrium	equilibrium	NOUN
ap-660	83	11	of	of	ADP
ap-660	83	12	forces	force	NOUN
ap-660	83	13	with	with	ADP
ap-660	83	14	reference	reference	NOUN
ap-660	83	15	to	to	ADP
ap-660	83	16	the	the	DET
ap-660	83	17	given	give	VERB
ap-660	83	18	cross	cross	NOUN
ap-660	83	19	section	section	NOUN
ap-660	83	20	area	area	NOUN
ap-660	83	21	,	,	PUNCT
ap-660	83	22	but	but	CCONJ
ap-660	83	23	has	have	VERB
ap-660	83	24	no	no	DET
ap-660	83	25	direct	direct	ADJ
ap-660	83	26	influence	influence	NOUN
ap-660	83	27	on	on	ADP
ap-660	83	28	the	the	DET
ap-660	83	29	longitudinal	longitudinal	ADJ
ap-660	83	30	deformation	deformation	NOUN
ap-660	83	31	in	in	ADP
ap-660	83	32	its	its	PRON
ap-660	83	33	direction	direction	NOUN
ap-660	83	34	.	.	PUNCT
ap-660	84	1	this	this	PRON
ap-660	84	2	applies	apply	VERB
ap-660	84	3	,	,	PUNCT
ap-660	84	4	naturally	naturally	ADV
ap-660	84	5	,	,	PUNCT
ap-660	84	6	also	also	ADV
ap-660	84	7	to	to	ADP
ap-660	84	8	the	the	DET
ap-660	84	9	orthogonal	orthogonal	ADJ
ap-660	84	10	components	component	NOUN
ap-660	84	11	into	into	ADP
ap-660	84	12	which	which	PRON
ap-660	84	13	we	we	PRON
ap-660	84	14	resolve	resolve	VERB
ap-660	84	15	the	the	DET
ap-660	84	16	resulting	result	VERB
ap-660	84	17	stress	stress	NOUN
ap-660	84	18	vector	vector	NOUN
ap-660	84	19	according	accord	VERB
ap-660	84	20	to	to	ADP
ap-660	84	21	the	the	DET
ap-660	84	22	axiom	axiom	NOUN
ap-660	84	23	of	of	ADP
ap-660	84	24	the	the	DET
ap-660	84	25	parallelogram	parallelogram	NOUN
ap-660	84	26	of	of	ADP
ap-660	84	27	forces	force	NOUN
ap-660	84	28	.	.	PUNCT
ap-660	85	1	neither	neither	CCONJ
ap-660	85	2	the	the	DET
ap-660	85	3	normal	normal	ADJ
ap-660	85	4	nor	nor	CCONJ
ap-660	85	5	the	the	DET
ap-660	85	6	tangential	tangential	ADJ
ap-660	85	7	stress	stress	NOUN
ap-660	85	8	components	component	NOUN
ap-660	85	9	have	have	VERB
ap-660	85	10	any	any	DET
ap-660	85	11	deformation	deformation	NOUN
ap-660	85	12	effect	effect	NOUN
ap-660	85	13	.	.	PUNCT
ap-660	86	1	nevertheless	nevertheless	ADV
ap-660	86	2	,	,	PUNCT
ap-660	86	3	the	the	DET
ap-660	86	4	deformation	deformation	NOUN
ap-660	86	5	effect	effect	NOUN
ap-660	86	6	of	of	ADP
ap-660	86	7	the	the	DET
ap-660	86	8	tangential	tangential	ADJ
ap-660	86	9	stress	stress	NOUN
ap-660	86	10	components	component	NOUN
ap-660	86	11	is	be	AUX
ap-660	86	12	generally	generally	ADV
ap-660	86	13	considered	consider	VERB
ap-660	86	14	as	as	ADP
ap-660	86	15	an	an	DET
ap-660	86	16	indubitable	indubitable	ADJ
ap-660	86	17	fact	fact	NOUN
ap-660	86	18	,	,	PUNCT
ap-660	86	19	and	and	CCONJ
ap-660	86	20	exceeding	exceed	VERB
ap-660	86	21	the	the	DET
ap-660	86	22	maximum	maximum	ADJ
ap-660	86	23	shear	shear	NOUN
ap-660	86	24	stress	stress	NOUN
ap-660	86	25	is	be	AUX
ap-660	86	26	still	still	ADV
ap-660	86	27	considered	consider	VERB
ap-660	86	28	a	a	DET
ap-660	86	29	possible	possible	ADJ
ap-660	86	30	cause	cause	NOUN
ap-660	86	31	of	of	ADP
ap-660	86	32	failure	failure	NOUN
ap-660	86	33	.	.	PUNCT
ap-660	87	1	in	in	ADP
ap-660	87	2	the	the	DET
ap-660	87	3	case	case	NOUN
ap-660	87	4	of	of	ADP
ap-660	87	5	elastoplastic	elastoplastic	ADJ
ap-660	87	6	bodies	body	NOUN
ap-660	87	7	,	,	PUNCT
ap-660	87	8	the	the	DET
ap-660	87	9	origin	origin	NOUN
ap-660	87	10	of	of	ADP
ap-660	87	11	failure	failure	NOUN
ap-660	87	12	due	due	ADJ
ap-660	87	13	to	to	ADP
ap-660	87	14	shear	shear	NOUN
ap-660	87	15	is	be	AUX
ap-660	87	16	even	even	ADV
ap-660	87	17	considered	consider	VERB
ap-660	87	18	the	the	DET
ap-660	87	19	most	most	ADV
ap-660	87	20	widely	widely	ADV
ap-660	87	21	recognized	recognize	VERB
ap-660	87	22	failure	failure	NOUN
ap-660	87	23	hypothesis	hypothesis	NOUN
ap-660	87	24	.	.	PUNCT
ap-660	88	1	the	the	DET
ap-660	88	2	themselves	themselves	PRON
ap-660	88	3	terms	term	NOUN
ap-660	88	4	,	,	PUNCT
ap-660	88	5	such	such	ADJ
ap-660	88	6	as	as	ADP
ap-660	88	7	shear	shear	NOUN
ap-660	88	8	stress	stress	NOUN
ap-660	88	9	,	,	PUNCT
ap-660	88	10	shearing	shearing	NOUN
ap-660	88	11	force	force	NOUN
ap-660	88	12	,	,	PUNCT
ap-660	88	13	shear	shear	NOUN
ap-660	88	14	area	area	NOUN
ap-660	88	15	,	,	PUNCT
ap-660	88	16	shear	shear	NOUN
ap-660	88	17	failure	failure	NOUN
ap-660	88	18	and	and	CCONJ
ap-660	88	19	shear	shear	NOUN
ap-660	88	20	strength	strength	NOUN
ap-660	88	21	express	express	VERB
ap-660	88	22	the	the	DET
ap-660	88	23	erroneous	erroneous	ADJ
ap-660	88	24	assumption	assumption	NOUN
ap-660	88	25	that	that	SCONJ
ap-660	88	26	such	such	DET
ap-660	88	27	a	a	DET
ap-660	88	28	stress	stress	NOUN
ap-660	88	29	state	state	NOUN
ap-660	88	30	produces	produce	VERB
ap-660	88	31	a	a	DET
ap-660	88	32	mutual	mutual	ADJ
ap-660	88	33	displacement	displacement	NOUN
ap-660	88	34	of	of	ADP
ap-660	88	35	two	two	NUM
ap-660	88	36	parts	part	NOUN
ap-660	88	37	of	of	ADP
ap-660	88	38	the	the	DET
ap-660	88	39	body	body	NOUN
ap-660	88	40	.	.	PUNCT
ap-660	89	1	the	the	DET
ap-660	89	2	shear	shear	NOUN
ap-660	89	3	effect	effect	NOUN
ap-660	89	4	of	of	ADP
ap-660	89	5	the	the	DET
ap-660	89	6	shearing	shearing	NOUN
ap-660	89	7	force	force	NOUN
ap-660	89	8	is	be	AUX
ap-660	89	9	most	most	ADV
ap-660	89	10	frequently	frequently	ADV
ap-660	89	11	explained	explain	VERB
ap-660	89	12	according	accord	VERB
ap-660	89	13	to	to	ADP
ap-660	89	14	fig	fig	NOUN
ap-660	89	15	.	.	PUNCT
ap-660	90	1	5	5	X
ap-660	90	2	.	.	X
ap-660	90	3	for	for	ADP
ap-660	90	4	instance	instance	NOUN
ap-660	90	5	,	,	PUNCT
ap-660	90	6	“	"	PUNCT
ap-660	90	7	strength	strength	NOUN
ap-660	90	8	of	of	ADP
ap-660	90	9	materials	material	NOUN
ap-660	90	10	”	"	PUNCT
ap-660	91	1	[	[	X
ap-660	91	2	4	4	NUM
ap-660	91	3	]	]	PUNCT
ap-660	91	4	states	state	NOUN
ap-660	91	5	:	:	PUNCT
ap-660	91	6	“	"	PUNCT
ap-660	91	7	if	if	SCONJ
ap-660	91	8	external	external	ADJ
ap-660	91	9	forces	force	NOUN
ap-660	91	10	on	on	ADP
ap-660	91	11	the	the	DET
ap-660	91	12	left	left	ADJ
ap-660	91	13	-	-	PUNCT
ap-660	91	14	hand	hand	NOUN
ap-660	91	15	side	side	NOUN
ap-660	91	16	of	of	ADP
ap-660	91	17	the	the	DET
ap-660	91	18	cross	cross	NOUN
ap-660	91	19	section	section	PROPN
ap-660	91	20	p	p	NOUN
ap-660	91	21	are	be	AUX
ap-660	91	22	composed	compose	VERB
ap-660	91	23	into	into	ADP
ap-660	91	24	a	a	DET
ap-660	91	25	resultant	resultant	NOUN
ap-660	91	26	which	which	PRON
ap-660	91	27	has	have	VERB
ap-660	91	28	only	only	ADV
ap-660	91	29	tangential	tangential	ADJ
ap-660	91	30	component	component	NOUN
ap-660	91	31	q	q	NOUN
ap-660	91	32	acting	act	VERB
ap-660	91	33	in	in	ADP
ap-660	91	34	the	the	DET
ap-660	91	35	cross	cross	NOUN
ap-660	91	36	section	section	NOUN
ap-660	91	37	plane	plane	NOUN
ap-660	91	38	with	with	ADP
ap-660	91	39	the	the	DET
ap-660	91	40	point	point	NOUN
ap-660	91	41	of	of	ADP
ap-660	91	42	application	application	NOUN
ap-660	91	43	in	in	ADP
ap-660	91	44	the	the	DET
ap-660	91	45	cross	cross	NOUN
ap-660	91	46	section	section	NOUN
ap-660	91	47	centroid	centroid	NOUN
ap-660	91	48	(	(	PUNCT
ap-660	91	49	the	the	DET
ap-660	91	50	so	so	ADV
ap-660	91	51	-	-	PUNCT
ap-660	91	52	called	call	VERB
ap-660	91	53	shearing	shearing	NOUN
ap-660	91	54	force	force	NOUN
ap-660	91	55	)	)	PUNCT
ap-660	91	56	and	and	CCONJ
ap-660	91	57	the	the	DET
ap-660	91	58	external	external	ADJ
ap-660	91	59	forces	force	NOUN
ap-660	91	60	on	on	ADP
ap-660	91	61	the	the	DET
ap-660	91	62	right	right	ADJ
ap-660	91	63	-	-	PUNCT
ap-660	91	64	hand	hand	NOUN
ap-660	91	65	side	side	NOUN
ap-660	91	66	of	of	ADP
ap-660	91	67	infinitely	infinitely	ADV
ap-660	91	68	near	near	ADP
ap-660	91	69	parallel	parallel	ADJ
ap-660	91	70	cross	cross	NOUN
ap-660	91	71	section	section	NOUN
ap-660	91	72	p	p	X
ap-660	91	73	’	'	PUNCT
ap-660	91	74	are	be	AUX
ap-660	91	75	composed	compose	VERB
ap-660	91	76	according	accord	VERB
ap-660	91	77	to	to	ADP
ap-660	91	78	the	the	DET
ap-660	91	79	action	action	NOUN
ap-660	91	80	and	and	CCONJ
ap-660	91	81	reaction	reaction	NOUN
ap-660	91	82	theorem	theorem	VERB
ap-660	91	83	into	into	ADP
ap-660	91	84	a	a	DET
ap-660	91	85	resultant	resultant	NOUN
ap-660	91	86	q	q	NOUN
ap-660	91	87	’	'	PUNCT
ap-660	91	88	of	of	ADP
ap-660	91	89	opposite	opposite	ADJ
ap-660	91	90	direction	direction	NOUN
ap-660	91	91	,	,	PUNCT
ap-660	91	92	of	of	ADP
ap-660	91	93	the	the	DET
ap-660	91	94	same	same	ADJ
ap-660	91	95	magnitude	magnitude	NOUN
ap-660	91	96	,	,	PUNCT
ap-660	91	97	with	with	ADP
ap-660	91	98	the	the	DET
ap-660	91	99	point	point	NOUN
ap-660	91	100	of	of	ADP
ap-660	91	101	application	application	NOUN
ap-660	91	102	in	in	ADP
ap-660	91	103	the	the	DET
ap-660	91	104	cross	cross	PROPN
ap-660	91	105	sections	section	NOUN
ap-660	91	106	centroid	centroid	NOUN
ap-660	91	107	,	,	PUNCT
ap-660	91	108	then	then	ADV
ap-660	91	109	both	both	DET
ap-660	91	110	adjacent	adjacent	ADJ
ap-660	91	111	cross	cross	NOUN
ap-660	91	112	sections	section	NOUN
ap-660	91	113	will	will	AUX
ap-660	91	114	be	be	AUX
ap-660	91	115	displaced	displace	VERB
ap-660	91	116	mutually	mutually	ADV
ap-660	91	117	.	.	PUNCT
ap-660	92	1	when	when	SCONJ
ap-660	92	2	the	the	DET
ap-660	92	3	ultimate	ultimate	ADJ
ap-660	92	4	©	©	PROPN
ap-660	92	5	czech	czech	PROPN
ap-660	92	6	technical	technical	PROPN
ap-660	92	7	university	university	PROPN
ap-660	92	8	publishing	publishing	NOUN
ap-660	92	9	house	house	NOUN
ap-660	92	10	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-660	92	11	5	5	NUM
ap-660	92	12	czech	czech	PROPN
ap-660	92	13	technical	technical	PROPN
ap-660	92	14	university	university	PROPN
ap-660	92	15	in	in	ADP
ap-660	92	16	prague	prague	PROPN
ap-660	92	17	acta	acta	PROPN
ap-660	92	18	polytechnica	polytechnica	PROPN
ap-660	92	19	vol	vol	NOUN
ap-660	92	20	.	.	PROPN
ap-660	93	1	45	45	NUM
ap-660	93	2	no	no	NOUN
ap-660	93	3	.	.	PUNCT
ap-660	94	1	1/2005	1/2005	NUM
ap-660	94	2	fig	fig	NOUN
ap-660	94	3	.	.	PUNCT
ap-660	95	1	3	3	NUM
ap-660	95	2	:	:	PUNCT
ap-660	95	3	bridgman	bridgman	PROPN
ap-660	95	4	's	's	PART
ap-660	95	5	test	test	NOUN
ap-660	95	6	,	,	PUNCT
ap-660	95	7	in	in	ADP
ap-660	95	8	which	which	PRON
ap-660	95	9	a	a	DET
ap-660	95	10	glass	glass	NOUN
ap-660	95	11	bar	bar	NOUN
ap-660	95	12	ruptures	rupture	NOUN
ap-660	95	13	under	under	ADP
ap-660	95	14	the	the	DET
ap-660	95	15	pressure	pressure	NOUN
ap-660	95	16	of	of	ADP
ap-660	95	17	the	the	DET
ap-660	95	18	liquid	liquid	NOUN
ap-660	95	19	in	in	ADP
ap-660	95	20	the	the	DET
ap-660	95	21	zero	zero	NUM
ap-660	95	22	stress	stress	NOUN
ap-660	95	23	direction	direction	NOUN
ap-660	95	24	fig	fig	NOUN
ap-660	95	25	.	.	PUNCT
ap-660	96	1	4	4	NUM
ap-660	96	2	:	:	PUNCT
ap-660	96	3	diagram	diagram	NOUN
ap-660	96	4	of	of	ADP
ap-660	96	5	spheric	spheric	ADJ
ap-660	96	6	coordinates	coordinate	NOUN
ap-660	96	7	shear	shear	NOUN
ap-660	96	8	strength	strength	NOUN
ap-660	96	9	has	have	AUX
ap-660	96	10	been	be	AUX
ap-660	96	11	attained	attain	VERB
ap-660	96	12	,	,	PUNCT
ap-660	96	13	the	the	DET
ap-660	96	14	cross	cross	NOUN
ap-660	96	15	section	section	NOUN
ap-660	96	16	will	will	AUX
ap-660	96	17	be	be	AUX
ap-660	96	18	shorn	shorn	VERB
ap-660	96	19	off	off	ADP
ap-660	96	20	.	.	PUNCT
ap-660	96	21	”	"	PUNCT
ap-660	97	1	this	this	DET
ap-660	97	2	explanation	explanation	NOUN
ap-660	97	3	of	of	ADP
ap-660	97	4	the	the	DET
ap-660	97	5	shearing	shearing	NOUN
ap-660	97	6	effect	effect	NOUN
ap-660	97	7	of	of	ADP
ap-660	97	8	the	the	DET
ap-660	97	9	shearing	shearing	NOUN
ap-660	97	10	force	force	NOUN
ap-660	97	11	is	be	AUX
ap-660	97	12	based	base	VERB
ap-660	97	13	on	on	ADP
ap-660	97	14	the	the	DET
ap-660	97	15	idea	idea	NOUN
ap-660	97	16	that	that	SCONJ
ap-660	97	17	both	both	DET
ap-660	97	18	cross	cross	NOUN
ap-660	97	19	sections	section	NOUN
ap-660	97	20	are	be	AUX
ap-660	97	21	infinitely	infinitely	ADV
ap-660	97	22	near	near	ADV
ap-660	97	23	,	,	PUNCT
ap-660	97	24	so	so	SCONJ
ap-660	97	25	that	that	SCONJ
ap-660	97	26	it	it	PRON
ap-660	97	27	is	be	AUX
ap-660	97	28	possible	possible	ADJ
ap-660	97	29	to	to	PART
ap-660	97	30	consider	consider	VERB
ap-660	97	31	the	the	DET
ap-660	97	32	opposite	opposite	ADJ
ap-660	97	33	shearing	shearing	NOUN
ap-660	97	34	forces	force	NOUN
ap-660	97	35	as	as	ADP
ap-660	97	36	acting	act	VERB
ap-660	97	37	in	in	ADP
ap-660	97	38	a	a	DET
ap-660	97	39	single	single	ADJ
ap-660	97	40	plane	plane	NOUN
ap-660	97	41	,	,	PUNCT
ap-660	97	42	while	while	SCONJ
ap-660	97	43	assuming	assume	VERB
ap-660	97	44	that	that	SCONJ
ap-660	97	45	their	their	PRON
ap-660	97	46	mutual	mutual	ADJ
ap-660	97	47	distance	distance	NOUN
ap-660	97	48	enables	enable	VERB
ap-660	97	49	mutual	mutual	ADJ
ap-660	97	50	displacement	displacement	NOUN
ap-660	97	51	.	.	PUNCT
ap-660	98	1	such	such	DET
ap-660	98	2	an	an	DET
ap-660	98	3	assumption	assumption	NOUN
ap-660	98	4	is	be	AUX
ap-660	98	5	evidently	evidently	ADV
ap-660	98	6	erroneous	erroneous	ADJ
ap-660	98	7	.	.	PUNCT
ap-660	99	1	if	if	SCONJ
ap-660	99	2	both	both	DET
ap-660	99	3	shearing	shear	VERB
ap-660	99	4	forces	force	NOUN
ap-660	99	5	act	act	VERB
ap-660	99	6	at	at	ADP
ap-660	99	7	a	a	DET
ap-660	99	8	differential	differential	ADJ
ap-660	99	9	distance	distance	NOUN
ap-660	99	10	dx	dx	PROPN
ap-660	99	11	according	accord	VERB
ap-660	99	12	to	to	ADP
ap-660	99	13	fig	fig	NOUN
ap-660	99	14	.	.	PUNCT
ap-660	100	1	5	5	NUM
ap-660	100	2	,	,	PUNCT
ap-660	100	3	they	they	PRON
ap-660	100	4	produce	produce	VERB
ap-660	100	5	a	a	DET
ap-660	100	6	bending	bend	VERB
ap-660	100	7	moment	moment	NOUN
ap-660	100	8	dm	dm	INTJ
ap-660	100	9	so	so	SCONJ
ap-660	100	10	that	that	SCONJ
ap-660	100	11	the	the	DET
ap-660	100	12	equilibrium	equilibrium	NOUN
ap-660	100	13	must	must	AUX
ap-660	100	14	be	be	AUX
ap-660	100	15	assured	assure	VERB
ap-660	100	16	by	by	ADP
ap-660	100	17	a	a	DET
ap-660	100	18	bending	bend	VERB
ap-660	100	19	moment	moment	NOUN
ap-660	100	20	of	of	ADP
ap-660	100	21	equal	equal	ADJ
ap-660	100	22	magnitude	magnitude	NOUN
ap-660	100	23	,	,	PUNCT
ap-660	100	24	but	but	CCONJ
ap-660	100	25	of	of	ADP
ap-660	100	26	opposite	opposite	ADJ
ap-660	100	27	direction	direction	NOUN
ap-660	100	28	.	.	PUNCT
ap-660	101	1	thus	thus	ADV
ap-660	101	2	d	d	X
ap-660	101	3	dm	dm	NUM
ap-660	101	4	q	q	NOUN
ap-660	101	5	x	x	X
ap-660	101	6	�	�	PROPN
ap-660	101	7	�	�	PROPN
ap-660	101	8	,	,	PUNCT
ap-660	101	9	hence	hence	ADV
ap-660	101	10	q	q	NOUN
ap-660	101	11	m	m	VERB
ap-660	101	12	x	x	X
ap-660	101	13	�	�	PROPN
ap-660	101	14	d	d	PROPN
ap-660	101	15	d	d	PROPN
ap-660	101	16	,	,	PUNCT
ap-660	101	17	(	(	PUNCT
ap-660	101	18	11	11	NUM
ap-660	101	19	)	)	PUNCT
ap-660	101	20	which	which	PRON
ap-660	101	21	is	be	AUX
ap-660	101	22	known	know	VERB
ap-660	101	23	as	as	ADP
ap-660	101	24	schwedler	schwedler	NOUN
ap-660	101	25	’s	’s	PART
ap-660	101	26	theorem	theorem	VERB
ap-660	101	27	,	,	PUNCT
ap-660	101	28	according	accord	VERB
ap-660	101	29	to	to	ADP
ap-660	101	30	which	which	PRON
ap-660	101	31	the	the	DET
ap-660	101	32	shearing	shearing	NOUN
ap-660	101	33	force	force	NOUN
ap-660	101	34	is	be	AUX
ap-660	101	35	the	the	DET
ap-660	101	36	first	first	ADJ
ap-660	101	37	derivative	derivative	NOUN
ap-660	101	38	of	of	ADP
ap-660	101	39	the	the	DET
ap-660	101	40	bending	bend	VERB
ap-660	101	41	moment	moment	NOUN
ap-660	101	42	.	.	PUNCT
ap-660	102	1	also	also	ADV
ap-660	102	2	the	the	DET
ap-660	102	3	statement	statement	NOUN
ap-660	102	4	that	that	SCONJ
ap-660	102	5	the	the	DET
ap-660	102	6	cracks	crack	NOUN
ap-660	102	7	originating	originate	VERB
ap-660	102	8	in	in	ADP
ap-660	102	9	the	the	DET
ap-660	102	10	body	body	NOUN
ap-660	102	11	at	at	ADP
ap-660	102	12	the	the	DET
ap-660	102	13	ultimate	ultimate	ADJ
ap-660	102	14	strength	strength	NOUN
ap-660	102	15	of	of	ADP
ap-660	102	16	the	the	DET
ap-660	102	17	material	material	NOUN
ap-660	102	18	may	may	AUX
ap-660	102	19	have	have	AUX
ap-660	102	20	the	the	DET
ap-660	102	21	direction	direction	NOUN
ap-660	102	22	of	of	ADP
ap-660	102	23	the	the	DET
ap-660	102	24	principal	principal	ADJ
ap-660	102	25	shearing	shearing	NOUN
ap-660	102	26	stresses	stress	NOUN
ap-660	102	27	,	,	PUNCT
ap-660	102	28	is	be	AUX
ap-660	102	29	erroneous	erroneous	ADJ
ap-660	102	30	.	.	PUNCT
ap-660	103	1	this	this	PRON
ap-660	103	2	is	be	AUX
ap-660	103	3	also	also	ADV
ap-660	103	4	shown	show	VERB
ap-660	103	5	by	by	ADP
ap-660	103	6	fig	fig	NOUN
ap-660	103	7	.	.	PUNCT
ap-660	104	1	6	6	NUM
ap-660	104	2	.	.	X
ap-660	104	3	fig	fig	NOUN
ap-660	104	4	.	.	PUNCT
ap-660	105	1	6a	6a	NOUN
ap-660	105	2	represents	represent	VERB
ap-660	105	3	a	a	DET
ap-660	105	4	body	body	NOUN
ap-660	105	5	of	of	ADP
ap-660	105	6	cubic	cubic	ADJ
ap-660	105	7	shape	shape	NOUN
ap-660	105	8	loaded	load	VERB
ap-660	105	9	by	by	ADP
ap-660	105	10	uniaxial	uniaxial	ADJ
ap-660	105	11	pressure	pressure	NOUN
ap-660	105	12	�	�	NOUN
ap-660	105	13	2	2	NUM
ap-660	105	14	in	in	ADP
ap-660	105	15	the	the	DET
ap-660	105	16	direction	direction	NOUN
ap-660	105	17	of	of	ADP
ap-660	105	18	x2	x2	PROPN
ap-660	105	19	.	.	PUNCT
ap-660	106	1	the	the	DET
ap-660	106	2	maximum	maximum	ADJ
ap-660	106	3	shear	shear	NOUN
ap-660	106	4	stress	stress	PROPN
ap-660	106	5	�	�	PROPN
ap-660	106	6	max	max	PROPN
ap-660	106	7	acts	act	VERB
ap-660	106	8	on	on	ADP
ap-660	106	9	the	the	DET
ap-660	106	10	plane	plane	NOUN
ap-660	106	11	45	45	NUM
ap-660	106	12	°	°	NOUN
ap-660	106	13	diverting	divert	VERB
ap-660	106	14	from	from	ADP
ap-660	106	15	x2	x2	PROPN
ap-660	106	16	.	.	PUNCT
ap-660	107	1	the	the	DET
ap-660	107	2	shear	shear	NOUN
ap-660	107	3	stress	stress	NOUN
ap-660	107	4	�	�	PROPN
ap-660	107	5	’	'	PUNCT
ap-660	107	6	max	max	PROPN
ap-660	107	7	acts	act	VERB
ap-660	107	8	on	on	ADP
ap-660	107	9	the	the	DET
ap-660	107	10	same	same	ADJ
ap-660	107	11	plane	plane	NOUN
ap-660	107	12	in	in	ADP
ap-660	107	13	opposite	opposite	ADJ
ap-660	107	14	direction	direction	NOUN
ap-660	107	15	as	as	ADP
ap-660	107	16	a	a	DET
ap-660	107	17	reaction	reaction	NOUN
ap-660	107	18	.	.	PUNCT
ap-660	108	1	the	the	DET
ap-660	108	2	same	same	ADJ
ap-660	108	3	maximum	maximum	ADJ
ap-660	108	4	shear	shear	NOUN
ap-660	108	5	stress	stress	PROPN
ap-660	108	6	�	�	PROPN
ap-660	108	7	max	max	PROPN
ap-660	108	8	originates	originate	NOUN
ap-660	108	9	in	in	ADP
ap-660	108	10	the	the	DET
ap-660	108	11	same	same	ADJ
ap-660	108	12	plane	plane	NOUN
ap-660	108	13	of	of	ADP
ap-660	108	14	the	the	DET
ap-660	108	15	same	same	ADJ
ap-660	108	16	element	element	NOUN
ap-660	108	17	during	during	ADP
ap-660	108	18	the	the	DET
ap-660	108	19	uniaxial	uniaxial	ADJ
ap-660	108	20	stress	stress	NOUN
ap-660	108	21	state	state	NOUN
ap-660	108	22	produced	produce	VERB
ap-660	108	23	by	by	ADP
ap-660	108	24	the	the	DET
ap-660	108	25	tensile	tensile	NOUN
ap-660	108	26	stress	stress	NOUN
ap-660	108	27	�	�	PROPN
ap-660	108	28	�	�	PROPN
ap-660	108	29	1	1	NUM
ap-660	108	30	2	2	NUM
ap-660	108	31	�	�	PROPN
ap-660	108	32	�	�	PROPN
ap-660	108	33	acting	act	VERB
ap-660	108	34	in	in	ADP
ap-660	108	35	the	the	DET
ap-660	108	36	direction	direction	NOUN
ap-660	108	37	of	of	ADP
ap-660	108	38	x1	x1	PROPN
ap-660	108	39	(	(	PUNCT
ap-660	108	40	fig	fig	NOUN
ap-660	108	41	.	.	PUNCT
ap-660	108	42	6b	6b	NUM
ap-660	108	43	)	)	PUNCT
ap-660	108	44	.	.	PUNCT
ap-660	109	1	let	let	VERB
ap-660	109	2	us	we	PRON
ap-660	109	3	add	add	VERB
ap-660	109	4	that	that	SCONJ
ap-660	109	5	the	the	DET
ap-660	109	6	tangential	tangential	ADJ
ap-660	109	7	stress	stress	NOUN
ap-660	109	8	is	be	AUX
ap-660	109	9	not	not	PART
ap-660	109	10	algebraically	algebraically	ADV
ap-660	109	11	ambiguous	ambiguous	ADJ
ap-660	109	12	(	(	PUNCT
ap-660	109	13	positive	positive	ADJ
ap-660	109	14	or	or	CCONJ
ap-660	109	15	negative	negative	ADJ
ap-660	109	16	)	)	PUNCT
ap-660	109	17	,	,	PUNCT
ap-660	109	18	so	so	SCONJ
ap-660	109	19	that	that	SCONJ
ap-660	109	20	zero	zero	NUM
ap-660	109	21	is	be	AUX
ap-660	109	22	considered	consider	VERB
ap-660	109	23	its	its	PRON
ap-660	109	24	minimum	minimum	ADJ
ap-660	109	25	value	value	NOUN
ap-660	109	26	.	.	PUNCT
ap-660	110	1	both	both	DET
ap-660	110	2	cases	case	NOUN
ap-660	110	3	involve	involve	VERB
ap-660	110	4	a	a	DET
ap-660	110	5	uniaxial	uniaxial	ADJ
ap-660	110	6	load	load	NOUN
ap-660	110	7	:	:	PUNCT
ap-660	110	8	in	in	ADP
ap-660	110	9	the	the	DET
ap-660	110	10	former	former	ADJ
ap-660	110	11	case	case	NOUN
ap-660	110	12	in	in	ADP
ap-660	110	13	compression	compression	NOUN
ap-660	110	14	,	,	PUNCT
ap-660	110	15	and	and	CCONJ
ap-660	110	16	in	in	ADP
ap-660	110	17	the	the	DET
ap-660	110	18	latter	latter	ADJ
ap-660	110	19	case	case	NOUN
ap-660	110	20	in	in	ADP
ap-660	110	21	tension	tension	NOUN
ap-660	110	22	.	.	PUNCT
ap-660	111	1	in	in	ADP
ap-660	111	2	either	either	DET
ap-660	111	3	case	case	NOUN
ap-660	111	4	the	the	DET
ap-660	111	5	failure	failure	NOUN
ap-660	111	6	crack	crack	NOUN
ap-660	111	7	does	do	AUX
ap-660	111	8	not	not	PART
ap-660	111	9	originate	originate	VERB
ap-660	111	10	in	in	ADP
ap-660	111	11	the	the	DET
ap-660	111	12	shear	shear	NOUN
ap-660	111	13	stress	stress	NOUN
ap-660	111	14	direction	direction	NOUN
ap-660	111	15	,	,	PUNCT
ap-660	111	16	but	but	CCONJ
ap-660	111	17	in	in	ADP
ap-660	111	18	the	the	DET
ap-660	111	19	direction	direction	NOUN
ap-660	111	20	perpendicular	perpendicular	NOUN
ap-660	111	21	to	to	ADP
ap-660	111	22	x1	x1	PROPN
ap-660	111	23	,	,	PUNCT
ap-660	111	24	which	which	PRON
ap-660	111	25	is	be	AUX
ap-660	111	26	the	the	DET
ap-660	111	27	axis	axis	NOUN
ap-660	111	28	of	of	ADP
ap-660	111	29	maximum	maximum	ADJ
ap-660	111	30	elongation	elongation	NOUN
ap-660	111	31	in	in	ADP
ap-660	111	32	either	either	DET
ap-660	111	33	case	case	NOUN
ap-660	111	34	.	.	PUNCT
ap-660	112	1	the	the	DET
ap-660	112	2	absolute	absolute	ADJ
ap-660	112	3	values	value	NOUN
ap-660	112	4	of	of	ADP
ap-660	112	5	both	both	DET
ap-660	112	6	uniaxial	uniaxial	ADJ
ap-660	112	7	strengths	strength	NOUN
ap-660	112	8	and	and	CCONJ
ap-660	112	9	the	the	DET
ap-660	112	10	extreme	extreme	ADJ
ap-660	112	11	shear	shear	NOUN
ap-660	112	12	values	value	NOUN
ap-660	112	13	in	in	ADP
ap-660	112	14	both	both	DET
ap-660	112	15	cases	case	NOUN
ap-660	112	16	differ	differ	VERB
ap-660	112	17	substantially	substantially	ADV
ap-660	112	18	.	.	PUNCT
ap-660	113	1	the	the	DET
ap-660	113	2	uniaxial	uniaxial	ADJ
ap-660	113	3	compression	compression	NOUN
ap-660	113	4	strength	strength	NOUN
ap-660	113	5	is	be	AUX
ap-660	113	6	several	several	ADJ
ap-660	113	7	times	time	NOUN
ap-660	113	8	as	as	ADV
ap-660	113	9	high	high	ADJ
ap-660	113	10	as	as	ADP
ap-660	113	11	the	the	DET
ap-660	113	12	uniaxial	uniaxial	ADJ
ap-660	113	13	tensile	tensile	NOUN
ap-660	113	14	strength	strength	NOUN
ap-660	113	15	,	,	PUNCT
ap-660	113	16	and	and	CCONJ
ap-660	113	17	the	the	DET
ap-660	113	18	values	value	NOUN
ap-660	113	19	of	of	ADP
ap-660	113	20	the	the	DET
ap-660	113	21	ultimate	ultimate	ADJ
ap-660	113	22	shear	shear	NOUN
ap-660	113	23	stresses	stress	NOUN
ap-660	113	24	in	in	ADP
ap-660	113	25	both	both	DET
ap-660	113	26	stress	stress	ADJ
ap-660	113	27	state	state	NOUN
ap-660	113	28	cases	case	NOUN
ap-660	113	29	are	be	AUX
ap-660	113	30	in	in	ADP
ap-660	113	31	the	the	DET
ap-660	113	32	same	same	ADJ
ap-660	113	33	ratio	ratio	NOUN
ap-660	113	34	.	.	PUNCT
ap-660	114	1	2	2	NUM
ap-660	114	2	deformation	deformation	NOUN
ap-660	114	3	stress	stress	NOUN
ap-660	114	4	state	state	NOUN
ap-660	114	5	of	of	ADP
ap-660	114	6	elastic	elastic	ADJ
ap-660	114	7	bodies	body	NOUN
ap-660	114	8	2.1	2.1	NUM
ap-660	114	9	influence	influence	NOUN
ap-660	114	10	of	of	ADP
ap-660	114	11	atomic	atomic	ADJ
ap-660	114	12	structure	structure	NOUN
ap-660	114	13	on	on	ADP
ap-660	114	14	the	the	DET
ap-660	114	15	deformation	deformation	NOUN
ap-660	114	16	and	and	CCONJ
ap-660	114	17	stress	stress	NOUN
ap-660	114	18	state	state	NOUN
ap-660	114	19	of	of	ADP
ap-660	114	20	solid	solid	ADJ
ap-660	114	21	bodies	body	NOUN
ap-660	114	22	classical	classical	ADJ
ap-660	114	23	stress	stress	NOUN
ap-660	114	24	is	be	AUX
ap-660	114	25	a	a	DET
ap-660	114	26	plane	plane	NOUN
ap-660	114	27	force	force	NOUN
ap-660	114	28	quantity	quantity	NOUN
ap-660	114	29	of	of	ADP
ap-660	114	30	the	the	DET
ap-660	114	31	mechanics	mechanic	NOUN
ap-660	114	32	of	of	ADP
ap-660	114	33	perfectly	perfectly	ADV
ap-660	114	34	solid	solid	ADJ
ap-660	114	35	bodies	body	NOUN
ap-660	114	36	expressing	express	VERB
ap-660	114	37	the	the	DET
ap-660	114	38	equilibrium	equilibrium	NOUN
ap-660	114	39	of	of	ADP
ap-660	114	40	forces	force	NOUN
ap-660	114	41	applied	apply	VERB
ap-660	114	42	to	to	ADP
ap-660	114	43	a	a	DET
ap-660	114	44	unit	unit	NOUN
ap-660	114	45	surface	surface	NOUN
ap-660	114	46	from	from	ADP
ap-660	114	47	both	both	DET
ap-660	114	48	sides	side	NOUN
ap-660	114	49	.	.	PUNCT
ap-660	115	1	stress	stress	NOUN
ap-660	115	2	exercises	exercise	VERB
ap-660	115	3	no	no	DET
ap-660	115	4	direct	direct	ADJ
ap-660	115	5	influence	influence	NOUN
ap-660	115	6	on	on	ADP
ap-660	115	7	deformation	deformation	NOUN
ap-660	115	8	.	.	PUNCT
ap-660	116	1	in	in	ADP
ap-660	116	2	the	the	DET
ap-660	116	3	direction	direction	NOUN
ap-660	116	4	of	of	ADP
ap-660	116	5	a	a	DET
ap-660	116	6	stress	stress	NOUN
ap-660	116	7	vector	vector	NOUN
ap-660	116	8	of	of	ADP
ap-660	116	9	a	a	DET
ap-660	116	10	certain	certain	ADJ
ap-660	116	11	magnitude	magnitude	NOUN
ap-660	116	12	,	,	PUNCT
ap-660	116	13	the	the	DET
ap-660	116	14	relative	relative	ADJ
ap-660	116	15	elongation	elongation	NOUN
ap-660	116	16	may	may	AUX
ap-660	116	17	be	be	AUX
ap-660	116	18	of	of	ADP
ap-660	116	19	a	a	DET
ap-660	116	20	different	different	ADJ
ap-660	116	21	value	value	NOUN
ap-660	116	22	and	and	CCONJ
ap-660	116	23	orientation	orientation	NOUN
ap-660	116	24	,	,	PUNCT
ap-660	116	25	depending	depend	VERB
ap-660	116	26	on	on	ADP
ap-660	116	27	the	the	DET
ap-660	116	28	overall	overall	ADJ
ap-660	116	29	triaxial	triaxial	ADJ
ap-660	116	30	stress	stress	NOUN
ap-660	116	31	state	state	NOUN
ap-660	116	32	(	(	PUNCT
ap-660	116	33	see	see	VERB
ap-660	116	34	table	table	NOUN
ap-660	116	35	1	1	NUM
ap-660	116	36	)	)	PUNCT
ap-660	116	37	.	.	PUNCT
ap-660	117	1	the	the	DET
ap-660	117	2	principal	principal	ADJ
ap-660	117	3	stress	stress	NOUN
ap-660	117	4	at	at	ADP
ap-660	117	5	the	the	DET
ap-660	117	6	contact	contact	NOUN
ap-660	117	7	of	of	ADP
ap-660	117	8	two	two	NUM
ap-660	117	9	bodies	body	NOUN
ap-660	117	10	(	(	PUNCT
ap-660	117	11	fig	fig	NOUN
ap-660	117	12	.	.	NOUN
ap-660	117	13	1	1	X
ap-660	117	14	)	)	PUNCT
ap-660	117	15	produces	produce	VERB
ap-660	117	16	an	an	DET
ap-660	117	17	entirely	entirely	ADV
ap-660	117	18	different	different	ADJ
ap-660	117	19	three	three	NUM
ap-660	117	20	-	-	PUNCT
ap-660	117	21	dimensional	dimensional	ADJ
ap-660	117	22	deformation	deformation	NOUN
ap-660	117	23	in	in	ADP
ap-660	117	24	each	each	PRON
ap-660	117	25	of	of	ADP
ap-660	117	26	them	they	PRON
ap-660	117	27	.	.	PUNCT
ap-660	118	1	an	an	DET
ap-660	118	2	examination	examination	NOUN
ap-660	118	3	of	of	ADP
ap-660	118	4	the	the	DET
ap-660	118	5	relative	relative	ADJ
ap-660	118	6	elongation	elongation	NOUN
ap-660	118	7	in	in	ADP
ap-660	118	8	the	the	DET
ap-660	118	9	given	give	VERB
ap-660	118	10	direction	direction	NOUN
ap-660	118	11	from	from	ADP
ap-660	118	12	the	the	DET
ap-660	118	13	given	give	VERB
ap-660	118	14	point	point	NOUN
ap-660	118	15	requires	require	VERB
ap-660	118	16	knowledge	knowledge	NOUN
ap-660	118	17	of	of	ADP
ap-660	118	18	the	the	DET
ap-660	118	19	three	three	NUM
ap-660	118	20	stresses	stress	NOUN
ap-660	118	21	in	in	ADP
ap-660	118	22	the	the	DET
ap-660	118	23	given	give	VERB
ap-660	118	24	point	point	NOUN
ap-660	118	25	acting	act	VERB
ap-660	118	26	on	on	ADP
ap-660	118	27	three	three	NUM
ap-660	118	28	mutually	mutually	ADV
ap-660	118	29	perpendicular	perpendicular	ADJ
ap-660	118	30	planes	plane	NOUN
ap-660	118	31	passing	pass	VERB
ap-660	118	32	through	through	ADP
ap-660	118	33	the	the	DET
ap-660	118	34	given	give	VERB
ap-660	118	35	point	point	NOUN
ap-660	118	36	.	.	PUNCT
ap-660	119	1	an	an	DET
ap-660	119	2	advantageous	advantageous	ADJ
ap-660	119	3	expression	expression	NOUN
ap-660	119	4	of	of	ADP
ap-660	119	5	the	the	DET
ap-660	119	6	stress	stress	NOUN
ap-660	119	7	state	state	NOUN
ap-660	119	8	is	be	AUX
ap-660	119	9	the	the	DET
ap-660	119	10	stress	stress	NOUN
ap-660	119	11	tensor	tensor	NOUN
ap-660	119	12	,	,	PUNCT
ap-660	119	13	the	the	DET
ap-660	119	14	simplest	simple	ADJ
ap-660	119	15	(	(	PUNCT
ap-660	119	16	diagonal	diagonal	ADJ
ap-660	119	17	)	)	PUNCT
ap-660	119	18	form	form	NOUN
ap-660	119	19	of	of	ADP
ap-660	119	20	which	which	PRON
ap-660	119	21	comprises	comprise	VERB
ap-660	119	22	three	three	NUM
ap-660	119	23	components	component	NOUN
ap-660	119	24	–	–	PUNCT
ap-660	119	25	the	the	DET
ap-660	119	26	principal	principal	NOUN
ap-660	119	27	stresses	stress	NOUN
ap-660	119	28	,	,	PUNCT
ap-660	119	29	by	by	ADP
ap-660	119	30	means	mean	NOUN
ap-660	119	31	of	of	ADP
ap-660	119	32	which	which	PRON
ap-660	119	33	it	it	PRON
ap-660	119	34	is	be	AUX
ap-660	119	35	possible	possible	ADJ
ap-660	119	36	to	to	PART
ap-660	119	37	compute	compute	VERB
ap-660	119	38	the	the	DET
ap-660	119	39	principal	principal	ADJ
ap-660	119	40	relative	relative	ADJ
ap-660	119	41	elongations	elongation	NOUN
ap-660	119	42	,	,	PUNCT
ap-660	119	43	according	accord	VERB
ap-660	119	44	to	to	ADP
ap-660	119	45	eq	eq	PROPN
ap-660	119	46	.	.	PUNCT
ap-660	120	1	(	(	PUNCT
ap-660	120	2	1	1	NUM
ap-660	120	3	)	)	PUNCT
ap-660	120	4	,	,	PUNCT
ap-660	120	5	and	and	CCONJ
ap-660	120	6	the	the	DET
ap-660	120	7	relative	relative	ADJ
ap-660	120	8	elongation	elongation	NOUN
ap-660	120	9	in	in	ADP
ap-660	120	10	any	any	DET
ap-660	120	11	direction	direction	NOUN
ap-660	120	12	from	from	ADP
ap-660	120	13	the	the	DET
ap-660	120	14	given	give	VERB
ap-660	120	15	point	point	NOUN
ap-660	120	16	in	in	ADP
ap-660	120	17	a	a	DET
ap-660	120	18	triaxially	triaxially	ADV
ap-660	120	19	loaded	load	VERB
ap-660	120	20	body	body	NOUN
ap-660	120	21	according	accord	VERB
ap-660	120	22	to	to	ADP
ap-660	120	23	eq	eq	PROPN
ap-660	120	24	.	.	PUNCT
ap-660	121	1	(	(	PUNCT
ap-660	121	2	10	10	NUM
ap-660	121	3	)	)	PUNCT
ap-660	121	4	.	.	PUNCT
ap-660	122	1	however	however	ADV
ap-660	122	2	,	,	PUNCT
ap-660	122	3	the	the	DET
ap-660	122	4	solution	solution	NOUN
ap-660	122	5	of	of	ADP
ap-660	122	6	various	various	ADJ
ap-660	122	7	problems	problem	NOUN
ap-660	122	8	of	of	ADP
ap-660	122	9	the	the	DET
ap-660	122	10	theory	theory	NOUN
ap-660	122	11	of	of	ADP
ap-660	122	12	elasticity	elasticity	NOUN
ap-660	122	13	,	,	PUNCT
ap-660	122	14	particularly	particularly	ADV
ap-660	122	15	the	the	DET
ap-660	122	16	examination	examination	NOUN
ap-660	122	17	of	of	ADP
ap-660	122	18	the	the	DET
ap-660	122	19	multiaxial	multiaxial	ADJ
ap-660	122	20	strength	strength	NOUN
ap-660	122	21	of	of	ADP
ap-660	122	22	bodies	body	NOUN
ap-660	122	23	,	,	PUNCT
ap-660	122	24	lacks	lack	VERB
ap-660	122	25	a	a	DET
ap-660	122	26	force	force	NOUN
ap-660	122	27	quantity	quantity	NOUN
ap-660	122	28	which	which	PRON
ap-660	122	29	would	would	AUX
ap-660	122	30	be	be	AUX
ap-660	122	31	in	in	ADP
ap-660	122	32	a	a	DET
ap-660	122	33	direct	direct	ADJ
ap-660	122	34	relation	relation	NOUN
ap-660	122	35	with	with	ADP
ap-660	122	36	the	the	DET
ap-660	122	37	relative	relative	ADJ
ap-660	122	38	elongation	elongation	NOUN
ap-660	122	39	.	.	PUNCT
ap-660	123	1	it	it	PRON
ap-660	123	2	is	be	AUX
ap-660	123	3	advisable	advisable	ADJ
ap-660	123	4	to	to	PART
ap-660	123	5	base	base	VERB
ap-660	123	6	the	the	DET
ap-660	123	7	definition	definition	NOUN
ap-660	123	8	of	of	ADP
ap-660	123	9	such	such	DET
ap-660	123	10	a	a	DET
ap-660	123	11	quantity	quantity	NOUN
ap-660	123	12	on	on	ADP
ap-660	123	13	the	the	DET
ap-660	123	14	corpuscular	corpuscular	ADJ
ap-660	123	15	structure	structure	NOUN
ap-660	123	16	of	of	ADP
ap-660	123	17	the	the	DET
ap-660	123	18	bodies	body	NOUN
ap-660	123	19	.	.	PUNCT
ap-660	124	1	the	the	DET
ap-660	124	2	contemporary	contemporary	ADJ
ap-660	124	3	discrete	discrete	ADJ
ap-660	124	4	theory	theory	NOUN
ap-660	124	5	of	of	ADP
ap-660	124	6	elasticity	elasticity	NOUN
ap-660	124	7	,	,	PUNCT
ap-660	124	8	which	which	PRON
ap-660	124	9	takes	take	VERB
ap-660	124	10	into	into	ADP
ap-660	124	11	account	account	NOUN
ap-660	124	12	the	the	DET
ap-660	124	13	atomic	atomic	ADJ
ap-660	124	14	structure	structure	NOUN
ap-660	124	15	of	of	ADP
ap-660	124	16	bodies	body	NOUN
ap-660	124	17	,	,	PUNCT
ap-660	124	18	is	be	AUX
ap-660	124	19	based	base	VERB
ap-660	124	20	on	on	ADP
ap-660	124	21	the	the	DET
ap-660	124	22	assumption	assumption	NOUN
ap-660	124	23	that	that	SCONJ
ap-660	124	24	between	between	ADP
ap-660	124	25	two	two	NUM
ap-660	124	26	atoms	atom	NOUN
ap-660	124	27	of	of	ADP
ap-660	124	28	a	a	DET
ap-660	124	29	loaded	load	VERB
ap-660	124	30	body	body	NOUN
ap-660	124	31	a	a	DET
ap-660	124	32	repulsive	repulsive	ADJ
ap-660	124	33	force	force	NOUN
ap-660	124	34	acts	act	VERB
ap-660	124	35	in	in	ADP
ap-660	124	36	the	the	DET
ap-660	124	37	direction	direction	NOUN
ap-660	124	38	of	of	ADP
ap-660	124	39	their	their	PRON
ap-660	124	40	decreasing	decrease	VERB
ap-660	124	41	distance	distance	NOUN
ap-660	124	42	,	,	PUNCT
ap-660	124	43	6	6	NUM
ap-660	124	44	©	©	PROPN
ap-660	124	45	czech	czech	PROPN
ap-660	124	46	technical	technical	PROPN
ap-660	124	47	university	university	PROPN
ap-660	124	48	publishing	publishing	NOUN
ap-660	124	49	house	house	NOUN
ap-660	124	50	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-660	124	51	acta	acta	PROPN
ap-660	124	52	polytechnica	polytechnica	PROPN
ap-660	124	53	vol	vol	NOUN
ap-660	124	54	.	.	PROPN
ap-660	125	1	45	45	NUM
ap-660	125	2	no	no	NOUN
ap-660	125	3	.	.	PUNCT
ap-660	126	1	1/2005	1/2005	NUM
ap-660	126	2	czech	czech	PROPN
ap-660	126	3	technical	technical	PROPN
ap-660	126	4	university	university	PROPN
ap-660	126	5	in	in	ADP
ap-660	126	6	prague	prague	PROPN
ap-660	126	7	fig	fig	NOUN
ap-660	126	8	.	.	PUNCT
ap-660	127	1	5	5	NUM
ap-660	127	2	:	:	PUNCT
ap-660	127	3	erroneous	erroneous	ADJ
ap-660	127	4	assumption	assumption	NOUN
ap-660	127	5	of	of	ADP
ap-660	127	6	shear	shear	NOUN
ap-660	127	7	stress	stress	ADJ
ap-660	127	8	deformation	deformation	NOUN
ap-660	127	9	effect	effect	NOUN
ap-660	127	10	according	accord	VERB
ap-660	127	11	to	to	ADP
ap-660	127	12	[	[	X
ap-660	127	13	4	4	NUM
ap-660	127	14	]	]	X
ap-660	127	15	fig	fig	NOUN
ap-660	127	16	.	.	PUNCT
ap-660	128	1	7	7	NUM
ap-660	128	2	:	:	PUNCT
ap-660	128	3	the	the	DET
ap-660	128	4	force	force	NOUN
ap-660	128	5	acting	act	VERB
ap-660	128	6	between	between	ADP
ap-660	128	7	two	two	NUM
ap-660	128	8	atoms	atom	NOUN
ap-660	128	9	is	be	AUX
ap-660	128	10	accompanied	accompany	VERB
ap-660	128	11	by	by	ADP
ap-660	128	12	a	a	DET
ap-660	128	13	change	change	NOUN
ap-660	128	14	in	in	ADP
ap-660	128	15	their	their	PRON
ap-660	128	16	distance	distance	NOUN
ap-660	128	17	fig	fig	NOUN
ap-660	128	18	.	.	PUNCT
ap-660	129	1	6	6	NUM
ap-660	129	2	:	:	PUNCT
ap-660	129	3	the	the	DET
ap-660	129	4	origin	origin	NOUN
ap-660	129	5	of	of	ADP
ap-660	129	6	a	a	DET
ap-660	129	7	faillure	faillure	NOUN
ap-660	129	8	crack	crack	NOUN
ap-660	129	9	does	do	AUX
ap-660	129	10	not	not	PART
ap-660	129	11	depend	depend	VERB
ap-660	129	12	on	on	ADP
ap-660	129	13	the	the	DET
ap-660	129	14	magnitude	magnitude	NOUN
ap-660	129	15	of	of	ADP
ap-660	129	16	the	the	DET
ap-660	129	17	shear	shear	NOUN
ap-660	129	18	stress	stress	NOUN
ap-660	129	19	,	,	PUNCT
ap-660	129	20	and	and	CCONJ
ap-660	129	21	its	its	PRON
ap-660	129	22	plane	plane	NOUN
ap-660	129	23	does	do	AUX
ap-660	129	24	not	not	PART
ap-660	129	25	follow	follow	VERB
ap-660	129	26	the	the	DET
ap-660	129	27	direction	direction	NOUN
ap-660	129	28	of	of	ADP
ap-660	129	29	the	the	DET
ap-660	129	30	maximum	maximum	ADJ
ap-660	129	31	shear	shear	NOUN
ap-660	129	32	stress	stress	NOUN
ap-660	129	33	and	and	CCONJ
ap-660	129	34	an	an	DET
ap-660	129	35	attractive	attractive	ADJ
ap-660	129	36	force	force	NOUN
ap-660	129	37	acts	act	VERB
ap-660	129	38	in	in	ADP
ap-660	129	39	the	the	DET
ap-660	129	40	direction	direction	NOUN
ap-660	129	41	of	of	ADP
ap-660	129	42	their	their	PRON
ap-660	129	43	growing	grow	VERB
ap-660	129	44	distance	distance	NOUN
ap-660	129	45	(	(	PUNCT
ap-660	129	46	fig	fig	NOUN
ap-660	129	47	.	.	PUNCT
ap-660	129	48	7	7	NUM
ap-660	129	49	)	)	PUNCT
ap-660	129	50	.	.	PUNCT
ap-660	130	1	cottrell	cottrell	PROPN
ap-660	131	1	[	[	X
ap-660	131	2	3	3	X
ap-660	131	3	]	]	PUNCT
ap-660	131	4	has	have	AUX
ap-660	131	5	come	come	VERB
ap-660	131	6	to	to	ADP
ap-660	131	7	the	the	DET
ap-660	131	8	conclusion	conclusion	NOUN
ap-660	131	9	that	that	SCONJ
ap-660	131	10	the	the	DET
ap-660	131	11	relation	relation	NOUN
ap-660	131	12	between	between	ADP
ap-660	131	13	the	the	DET
ap-660	131	14	change	change	NOUN
ap-660	131	15	of	of	ADP
ap-660	131	16	distance	distance	NOUN
ap-660	131	17	of	of	ADP
ap-660	131	18	two	two	NUM
ap-660	131	19	atoms	atom	NOUN
ap-660	131	20	u	u	NOUN
ap-660	131	21	and	and	CCONJ
ap-660	131	22	the	the	DET
ap-660	131	23	force	force	NOUN
ap-660	131	24	f	f	PROPN
ap-660	131	25	accompanying	accompany	VERB
ap-660	131	26	this	this	DET
ap-660	131	27	change	change	NOUN
ap-660	131	28	is	be	AUX
ap-660	131	29	linear	linear	ADJ
ap-660	131	30	.	.	PUNCT
ap-660	132	1	the	the	DET
ap-660	132	2	equation	equation	NOUN
ap-660	132	3	expressing	express	VERB
ap-660	132	4	this	this	DET
ap-660	132	5	relation	relation	NOUN
ap-660	132	6	can	can	AUX
ap-660	132	7	be	be	AUX
ap-660	132	8	written	write	VERB
ap-660	132	9	in	in	ADP
ap-660	132	10	the	the	DET
ap-660	132	11	form	form	NOUN
ap-660	132	12	f	f	PROPN
ap-660	132	13	u	u	SYM
ap-660	132	14	�	�	PROPN
ap-660	132	15	�	�	PROPN
ap-660	132	16	ck	ck	PROPN
ap-660	132	17	,	,	PUNCT
ap-660	132	18	(	(	PUNCT
ap-660	132	19	12	12	NUM
ap-660	132	20	)	)	PUNCT
ap-660	132	21	where	where	SCONJ
ap-660	132	22	ck	ck	PROPN
ap-660	132	23	is	be	AUX
ap-660	132	24	a	a	DET
ap-660	132	25	proportionality	proportionality	NOUN
ap-660	132	26	coefficient	coefficient	NOUN
ap-660	132	27	.	.	PUNCT
ap-660	133	1	cottrell	cottrell	PROPN
ap-660	133	2	considers	consider	VERB
ap-660	133	3	the	the	DET
ap-660	133	4	proportion	proportion	NOUN
ap-660	133	5	between	between	ADP
ap-660	133	6	force	force	NOUN
ap-660	133	7	f	f	PROPN
ap-660	133	8	and	and	CCONJ
ap-660	133	9	longitudinal	longitudinal	ADJ
ap-660	133	10	change	change	NOUN
ap-660	133	11	u	u	NOUN
ap-660	133	12	in	in	ADP
ap-660	133	13	eq	eq	ADP
ap-660	133	14	.	.	PUNCT
ap-660	134	1	(	(	PUNCT
ap-660	134	2	12	12	NUM
ap-660	134	3	)	)	PUNCT
ap-660	134	4	to	to	PART
ap-660	134	5	be	be	AUX
ap-660	134	6	the	the	DET
ap-660	134	7	hooke	hooke	NOUN
ap-660	134	8	’s	’s	PART
ap-660	134	9	law	law	NOUN
ap-660	134	10	.	.	PUNCT
ap-660	135	1	actually	actually	ADV
ap-660	135	2	,	,	PUNCT
ap-660	135	3	however	however	ADV
ap-660	135	4	,	,	PUNCT
ap-660	135	5	there	there	PRON
ap-660	135	6	is	be	VERB
ap-660	135	7	a	a	DET
ap-660	135	8	considerable	considerable	ADJ
ap-660	135	9	difference	difference	NOUN
ap-660	135	10	between	between	ADP
ap-660	135	11	this	this	DET
ap-660	135	12	equation	equation	NOUN
ap-660	135	13	and	and	CCONJ
ap-660	135	14	hooke	hooke	PROPN
ap-660	135	15	’s	’s	PART
ap-660	135	16	law	law	NOUN
ap-660	135	17	.	.	PUNCT
ap-660	136	1	according	accord	VERB
ap-660	136	2	to	to	ADP
ap-660	136	3	hooke	hooke	PROPN
ap-660	136	4	’s	’s	PART
ap-660	136	5	law	law	NOUN
ap-660	136	6	,	,	PUNCT
ap-660	136	7	the	the	DET
ap-660	136	8	relative	relative	ADJ
ap-660	136	9	longitudinal	longitudinal	ADJ
ap-660	136	10	change	change	NOUN
ap-660	136	11	in	in	ADP
ap-660	136	12	the	the	DET
ap-660	136	13	direction	direction	NOUN
ap-660	136	14	of	of	ADP
ap-660	136	15	the	the	DET
ap-660	136	16	principal	principal	ADJ
ap-660	136	17	axis	axis	NOUN
ap-660	136	18	of	of	ADP
ap-660	136	19	a	a	DET
ap-660	136	20	uniaxially	uniaxially	ADV
ap-660	136	21	loaded	load	VERB
ap-660	136	22	body	body	NOUN
ap-660	136	23	is	be	AUX
ap-660	136	24	proportionate	proportionate	ADJ
ap-660	136	25	to	to	ADP
ap-660	136	26	the	the	DET
ap-660	136	27	internal	internal	ADJ
ap-660	136	28	force	force	NOUN
ap-660	136	29	acting	act	VERB
ap-660	136	30	on	on	ADP
ap-660	136	31	the	the	DET
ap-660	136	32	given	give	VERB
ap-660	136	33	plane	plane	NOUN
ap-660	136	34	surface	surface	NOUN
ap-660	136	35	(	(	PUNCT
ap-660	136	36	surface	surface	VERB
ap-660	136	37	a	a	PRON
ap-660	136	38	in	in	ADP
ap-660	136	39	fig	fig	NOUN
ap-660	136	40	.	.	PUNCT
ap-660	137	1	7	7	NUM
ap-660	137	2	)	)	PUNCT
ap-660	137	3	,	,	PUNCT
ap-660	137	4	perpendicular	perpendicular	ADJ
ap-660	137	5	to	to	ADP
ap-660	137	6	the	the	DET
ap-660	137	7	same	same	ADJ
ap-660	137	8	axis	axis	NOUN
ap-660	137	9	.	.	PUNCT
ap-660	138	1	the	the	DET
ap-660	138	2	atoms	atom	NOUN
ap-660	138	3	,	,	PUNCT
ap-660	138	4	however	however	ADV
ap-660	138	5	,	,	PUNCT
ap-660	138	6	affect	affect	VERB
ap-660	138	7	their	their	PRON
ap-660	138	8	whole	whole	ADJ
ap-660	138	9	volumes	volume	NOUN
ap-660	138	10	by	by	ADP
ap-660	138	11	their	their	PRON
ap-660	138	12	forces;	forces;	NOUN
ap-660	138	13	in	in	ADP
ap-660	138	14	this	this	DET
ap-660	138	15	process	process	NOUN
ap-660	138	16	their	their	PRON
ap-660	138	17	shapes	shape	NOUN
ap-660	138	18	and	and	CCONJ
ap-660	138	19	volumes	volume	NOUN
ap-660	138	20	change	change	VERB
ap-660	138	21	,	,	PUNCT
ap-660	138	22	as	as	SCONJ
ap-660	138	23	the	the	DET
ap-660	138	24	picture	picture	NOUN
ap-660	138	25	illustrates	illustrate	VERB
ap-660	138	26	.	.	PUNCT
ap-660	139	1	every	every	DET
ap-660	139	2	atom	atom	NOUN
ap-660	139	3	has	have	VERB
ap-660	139	4	a	a	DET
ap-660	139	5	major	major	ADJ
ap-660	139	6	number	number	NOUN
ap-660	139	7	of	of	ADP
ap-660	139	8	adjacent	adjacent	ADJ
ap-660	139	9	atoms	atom	NOUN
ap-660	139	10	.	.	PUNCT
ap-660	140	1	for	for	ADP
ap-660	140	2	instance	instance	NOUN
ap-660	140	3	,	,	PUNCT
ap-660	140	4	in	in	ADP
ap-660	140	5	a	a	DET
ap-660	140	6	crystalline	crystalline	ADJ
ap-660	140	7	substance	substance	NOUN
ap-660	140	8	with	with	ADP
ap-660	140	9	a	a	DET
ap-660	140	10	cubic	cubic	ADJ
ap-660	140	11	face	face	NOUN
ap-660	140	12	centered	center	VERB
ap-660	140	13	structure	structure	NOUN
ap-660	140	14	,	,	PUNCT
ap-660	140	15	every	every	DET
ap-660	140	16	atom	atom	NOUN
ap-660	140	17	has	have	VERB
ap-660	140	18	12	12	NUM
ap-660	140	19	equally	equally	ADV
ap-660	140	20	distant	distant	ADJ
ap-660	140	21	nearest	near	ADJ
ap-660	140	22	neighbours	neighbour	NOUN
ap-660	140	23	(	(	PUNCT
ap-660	140	24	fig	fig	NOUN
ap-660	140	25	.	.	PUNCT
ap-660	141	1	8)	8)	NUM
ap-660	141	2	.	.	PUNCT
ap-660	142	1	the	the	DET
ap-660	142	2	load	load	NOUN
ap-660	142	3	changes	change	VERB
ap-660	142	4	the	the	DET
ap-660	142	5	distances	distance	NOUN
ap-660	142	6	among	among	ADP
ap-660	142	7	all	all	DET
ap-660	142	8	atoms	atom	NOUN
ap-660	142	9	,	,	PUNCT
ap-660	142	10	so	so	SCONJ
ap-660	142	11	that	that	SCONJ
ap-660	142	12	according	accord	VERB
ap-660	142	13	to	to	ADP
ap-660	142	14	eq	eq	PROPN
ap-660	142	15	.	.	PUNCT
ap-660	143	1	(	(	PUNCT
ap-660	143	2	12	12	NUM
ap-660	143	3	)	)	PUNCT
ap-660	143	4	every	every	DET
ap-660	143	5	increase	increase	NOUN
ap-660	143	6	in	in	ADP
ap-660	143	7	the	the	DET
ap-660	143	8	distance	distance	NOUN
ap-660	143	9	of	of	ADP
ap-660	143	10	the	the	DET
ap-660	143	11	given	give	VERB
ap-660	143	12	atom	atom	NOUN
ap-660	143	13	from	from	ADP
ap-660	143	14	its	its	PRON
ap-660	143	15	neighbour	neighbour	NOUN
ap-660	143	16	is	be	AUX
ap-660	143	17	accompanied	accompany	VERB
ap-660	143	18	by	by	ADP
ap-660	143	19	an	an	DET
ap-660	143	20	attractive	attractive	ADJ
ap-660	143	21	force	force	NOUN
ap-660	143	22	and	and	CCONJ
ap-660	143	23	by	by	ADP
ap-660	143	24	a	a	DET
ap-660	143	25	reduction	reduction	NOUN
ap-660	143	26	of	of	ADP
ap-660	143	27	their	their	PRON
ap-660	143	28	distance	distance	NOUN
ap-660	143	29	by	by	ADP
ap-660	143	30	a	a	DET
ap-660	143	31	repulsive	repulsive	ADJ
ap-660	143	32	force	force	NOUN
ap-660	143	33	.	.	PUNCT
ap-660	144	1	cottrell	cottrell	PROPN
ap-660	145	1	[	[	X
ap-660	145	2	3	3	X
ap-660	145	3	]	]	PUNCT
ap-660	145	4	expressed	express	VERB
ap-660	145	5	the	the	DET
ap-660	145	6	stress	stress	NOUN
ap-660	145	7	state	state	NOUN
ap-660	145	8	of	of	ADP
ap-660	145	9	the	the	DET
ap-660	145	10	loaded	load	VERB
ap-660	145	11	body	body	NOUN
ap-660	145	12	by	by	ADP
ap-660	145	13	a	a	DET
ap-660	145	14	mutual	mutual	ADJ
ap-660	145	15	force	force	NOUN
ap-660	145	16	effect	effect	NOUN
ap-660	145	17	of	of	ADP
ap-660	145	18	all	all	DET
ap-660	145	19	its	its	PRON
ap-660	145	20	atoms	atom	NOUN
ap-660	145	21	,	,	PUNCT
ap-660	145	22	as	as	SCONJ
ap-660	145	23	follows	follow	VERB
ap-660	145	24	:	:	PUNCT
ap-660	145	25	“	"	PUNCT
ap-660	145	26	the	the	DET
ap-660	145	27	bulk	bulk	ADJ
ap-660	145	28	elastic	elastic	ADJ
ap-660	145	29	behaviour	behaviour	NOUN
ap-660	145	30	of	of	ADP
ap-660	145	31	large	large	ADJ
ap-660	145	32	solid	solid	ADJ
ap-660	145	33	bodies	body	NOUN
ap-660	145	34	is	be	AUX
ap-660	145	35	simply	simply	ADV
ap-660	145	36	the	the	DET
ap-660	145	37	aggregate	aggregate	ADJ
ap-660	145	38	effect	effect	NOUN
ap-660	145	39	of	of	ADP
ap-660	145	40	the	the	DET
ap-660	145	41	individual	individual	ADJ
ap-660	145	42	deformations	deformation	NOUN
ap-660	145	43	of	of	ADP
ap-660	145	44	the	the	DET
ap-660	145	45	bonds	bond	NOUN
ap-660	145	46	in	in	ADP
ap-660	145	47	them	they	PRON
ap-660	145	48	,	,	PUNCT
ap-660	145	49	the	the	DET
ap-660	145	50	applied	apply	VERB
ap-660	145	51	force	force	NOUN
ap-660	145	52	being	be	AUX
ap-660	145	53	transmitted	transmit	VERB
ap-660	145	54	from	from	ADP
ap-660	145	55	one	one	NUM
ap-660	145	56	loading	loading	NOUN
ap-660	145	57	point	point	NOUN
ap-660	145	58	to	to	ADP
ap-660	145	59	another	another	PRON
ap-660	145	60	along	along	ADP
ap-660	145	61	the	the	DET
ap-660	145	62	network	network	NOUN
ap-660	145	63	of	of	ADP
ap-660	145	64	bonds	bond	NOUN
ap-660	145	65	running	run	VERB
ap-660	145	66	through	through	ADP
ap-660	145	67	the	the	DET
ap-660	145	68	material	material	NOUN
ap-660	145	69	”	"	PUNCT
ap-660	145	70	.	.	PUNCT
ap-660	146	1	this	this	DET
ap-660	146	2	statement	statement	NOUN
ap-660	146	3	reveals	reveal	VERB
ap-660	146	4	that	that	SCONJ
ap-660	146	5	the	the	DET
ap-660	146	6	forces	force	NOUN
ap-660	146	7	produced	produce	VERB
ap-660	146	8	among	among	ADP
ap-660	146	9	atoms	atom	NOUN
ap-660	146	10	by	by	ADP
ap-660	146	11	the	the	DET
ap-660	146	12	stress	stress	NOUN
ap-660	146	13	state	state	NOUN
ap-660	146	14	are	be	AUX
ap-660	146	15	not	not	PART
ap-660	146	16	plane	plane	NOUN
ap-660	146	17	internal	internal	ADJ
ap-660	146	18	forces	force	NOUN
ap-660	146	19	,	,	PUNCT
ap-660	146	20	but	but	CCONJ
ap-660	146	21	the	the	DET
ap-660	146	22	forces	force	NOUN
ap-660	146	23	with	with	ADP
ap-660	146	24	deformation	deformation	NOUN
ap-660	146	25	effect	effect	NOUN
ap-660	146	26	,	,	PUNCT
ap-660	146	27	i.e.	i.e.	X
ap-660	146	28	deformation	deformation	NOUN
ap-660	146	29	forces	force	NOUN
ap-660	146	30	.	.	PUNCT
ap-660	147	1	fig	fig	NOUN
ap-660	147	2	.	.	PUNCT
ap-660	148	1	9	9	NUM
ap-660	148	2	shows	show	VERB
ap-660	148	3	the	the	DET
ap-660	148	4	force	force	NOUN
ap-660	148	5	effect	effect	NOUN
ap-660	148	6	of	of	ADP
ap-660	148	7	ambient	ambient	ADJ
ap-660	148	8	atoms	atom	NOUN
ap-660	148	9	on	on	ADP
ap-660	148	10	a	a	DET
ap-660	148	11	given	give	VERB
ap-660	148	12	atom	atom	NOUN
ap-660	148	13	and	and	CCONJ
ap-660	148	14	the	the	DET
ap-660	148	15	changes	change	NOUN
ap-660	148	16	in	in	ADP
ap-660	148	17	the	the	DET
ap-660	148	18	distances	distance	NOUN
ap-660	148	19	of	of	ADP
ap-660	148	20	the	the	DET
ap-660	148	21	atom	atom	NOUN
ap-660	148	22	centres	centre	NOUN
ap-660	148	23	in	in	ADP
ap-660	148	24	a	a	DET
ap-660	148	25	biaxially	biaxially	ADV
ap-660	148	26	compressed	compress	VERB
ap-660	148	27	body	body	NOUN
ap-660	148	28	.	.	PUNCT
ap-660	149	1	the	the	DET
ap-660	149	2	boundaries	boundary	NOUN
ap-660	149	3	of	of	ADP
ap-660	149	4	the	the	DET
ap-660	149	5	electronic	electronic	ADJ
ap-660	149	6	clouds	cloud	NOUN
ap-660	149	7	of	of	ADP
ap-660	149	8	atoms	atom	NOUN
ap-660	149	9	in	in	ADP
ap-660	149	10	an	an	DET
ap-660	149	11	unloaded	unloaded	ADJ
ap-660	149	12	state	state	NOUN
ap-660	149	13	are	be	AUX
ap-660	149	14	idealized	idealize	VERB
ap-660	149	15	by	by	ADP
ap-660	149	16	spherical	spherical	ADJ
ap-660	149	17	surfaces	surface	NOUN
ap-660	149	18	deformed	deform	VERB
ap-660	149	19	under	under	ADP
ap-660	149	20	a	a	DET
ap-660	149	21	load	load	NOUN
ap-660	149	22	like	like	ADP
ap-660	149	23	microscopic	microscopic	ADJ
ap-660	149	24	three	three	NUM
ap-660	149	25	-	-	PUNCT
ap-660	149	26	dimensional	dimensional	ADJ
ap-660	149	27	elements	element	NOUN
ap-660	149	28	.	.	PUNCT
ap-660	150	1	the	the	DET
ap-660	150	2	picture	picture	NOUN
ap-660	150	3	simplifies	simplify	VERB
ap-660	150	4	the	the	DET
ap-660	150	5	actual	actual	ADJ
ap-660	150	6	spatial	spatial	ADJ
ap-660	150	7	arrangement	arrangement	NOUN
ap-660	150	8	of	of	ADP
ap-660	150	9	the	the	DET
ap-660	150	10	atoms	atom	NOUN
ap-660	150	11	in	in	ADP
ap-660	150	12	the	the	DET
ap-660	150	13	crystal	crystal	NOUN
ap-660	150	14	lattice	lattice	NOUN
ap-660	150	15	by	by	ADP
ap-660	150	16	a	a	DET
ap-660	150	17	two	two	NUM
ap-660	150	18	-	-	PUNCT
ap-660	150	19	dimensional	dimensional	ADJ
ap-660	150	20	arrangement	arrangement	NOUN
ap-660	150	21	,	,	PUNCT
ap-660	150	22	thus	thus	ADV
ap-660	150	23	reducing	reduce	VERB
ap-660	150	24	also	also	ADV
ap-660	150	25	the	the	DET
ap-660	150	26	actual	actual	ADJ
ap-660	150	27	number	number	NOUN
ap-660	150	28	of	of	ADP
ap-660	150	29	adjacent	adjacent	ADJ
ap-660	150	30	atoms	atom	NOUN
ap-660	150	31	to	to	ADP
ap-660	150	32	the	the	DET
ap-660	150	33	given	give	VERB
ap-660	150	34	atom	atom	NOUN
ap-660	150	35	.	.	PUNCT
ap-660	151	1	according	accord	VERB
ap-660	151	2	to	to	ADP
ap-660	151	3	eq	eq	PROPN
ap-660	151	4	.	.	PUNCT
ap-660	152	1	(	(	PUNCT
ap-660	152	2	12	12	NUM
ap-660	152	3	)	)	PUNCT
ap-660	152	4	,	,	PUNCT
ap-660	152	5	the	the	DET
ap-660	152	6	changes	change	NOUN
ap-660	152	7	in	in	ADP
ap-660	152	8	distances	distance	NOUN
ap-660	152	9	of	of	ADP
ap-660	152	10	the	the	DET
ap-660	152	11	centre	centre	NOUN
ap-660	152	12	of	of	ADP
ap-660	152	13	the	the	DET
ap-660	152	14	given	give	VERB
ap-660	152	15	atom	atom	NOUN
ap-660	152	16	and	and	CCONJ
ap-660	152	17	all	all	DET
ap-660	152	18	adjacent	adjacent	ADJ
ap-660	152	19	atoms	atom	NOUN
ap-660	152	20	are	be	AUX
ap-660	152	21	proportionate	proportionate	ADJ
ap-660	152	22	to	to	ADP
ap-660	152	23	the	the	DET
ap-660	152	24	force	force	NOUN
ap-660	152	25	originating	originate	VERB
ap-660	152	26	among	among	ADP
ap-660	152	27	them	they	PRON
ap-660	152	28	in	in	ADP
ap-660	152	29	the	the	DET
ap-660	152	30	process	process	NOUN
ap-660	152	31	.	.	PUNCT
ap-660	153	1	the	the	DET
ap-660	153	2	biaxially	biaxially	ADV
ap-660	153	3	loaded	load	VERB
ap-660	153	4	body	body	NOUN
ap-660	153	5	will	will	AUX
ap-660	153	6	become	become	VERB
ap-660	153	7	narrower	narrow	ADJ
ap-660	153	8	in	in	ADP
ap-660	153	9	the	the	DET
ap-660	153	10	direction	direction	NOUN
ap-660	153	11	of	of	ADP
ap-660	153	12	the	the	DET
ap-660	153	13	principal	principal	ADJ
ap-660	153	14	axes	axis	NOUN
ap-660	153	15	x2	x2	PROPN
ap-660	153	16	,	,	PUNCT
ap-660	153	17	x3	x3	VERB
ap-660	153	18	and	and	CCONJ
ap-660	153	19	will	will	AUX
ap-660	153	20	elongate	elongate	VERB
ap-660	153	21	in	in	ADP
ap-660	153	22	the	the	DET
ap-660	153	23	direction	direction	NOUN
ap-660	153	24	of	of	ADP
ap-660	153	25	x1	x1	PROPN
ap-660	153	26	.	.	PUNCT
ap-660	154	1	the	the	DET
ap-660	154	2	spherical	spherical	ADJ
ap-660	154	3	elements	element	NOUN
ap-660	154	4	idealizing	idealize	VERB
ap-660	154	5	the	the	DET
ap-660	154	6	boundary	boundary	NOUN
ap-660	154	7	of	of	ADP
ap-660	154	8	the	the	DET
ap-660	154	9	electronic	electronic	ADJ
ap-660	154	10	clouds	cloud	NOUN
ap-660	154	11	of	of	ADP
ap-660	154	12	atoms	atom	NOUN
ap-660	154	13	will	will	AUX
ap-660	154	14	narrow	narrow	VERB
ap-660	154	15	or	or	CCONJ
ap-660	154	16	elongate	elongate	VERB
ap-660	154	17	equally	equally	ADV
ap-660	154	18	.	.	PUNCT
ap-660	155	1	in	in	ADP
ap-660	155	2	parallel	parallel	NOUN
ap-660	155	3	with	with	ADP
ap-660	155	4	the	the	DET
ap-660	155	5	deformation	deformation	NOUN
ap-660	155	6	,	,	PUNCT
ap-660	155	7	the	the	DET
ap-660	155	8	repulsive	repulsive	ADJ
ap-660	155	9	forces	force	NOUN
ap-660	155	10	f2	f2	PROPN
ap-660	155	11	,	,	PUNCT
ap-660	155	12	f3	f3	PROPN
ap-660	155	13	and	and	CCONJ
ap-660	155	14	the	the	DET
ap-660	155	15	attractive	attractive	ADJ
ap-660	155	16	force	force	NOUN
ap-660	155	17	f1	f1	NOUN
ap-660	155	18	will	will	AUX
ap-660	155	19	originate	originate	VERB
ap-660	155	20	between	between	ADP
ap-660	155	21	the	the	DET
ap-660	155	22	given	give	VERB
ap-660	155	23	atom	atom	NOUN
ap-660	155	24	and	and	CCONJ
ap-660	155	25	its	its	PRON
ap-660	155	26	neighbours	neighbour	NOUN
ap-660	155	27	.	.	PUNCT
ap-660	156	1	when	when	SCONJ
ap-660	156	2	we	we	PRON
ap-660	156	3	examine	examine	VERB
ap-660	156	4	the	the	DET
ap-660	156	5	resulting	result	VERB
ap-660	156	6	internal	internal	ADJ
ap-660	156	7	force	force	NOUN
ap-660	156	8	f1	f1	NOUN
ap-660	156	9	acting	act	VERB
ap-660	156	10	on	on	ADP
ap-660	156	11	the	the	DET
ap-660	156	12	cross	cross	PROPN
ap-660	156	13	section	section	PROPN
ap-660	156	14	area	area	PROPN
ap-660	156	15	a	a	PRON
ap-660	156	16	of	of	ADP
ap-660	156	17	the	the	DET
ap-660	156	18	given	give	VERB
ap-660	156	19	atom	atom	NOUN
ap-660	156	20	perpendicular	perpendicular	NOUN
ap-660	156	21	to	to	ADP
ap-660	156	22	x1	x1	PROPN
ap-660	156	23	,	,	PUNCT
ap-660	156	24	we	we	PRON
ap-660	156	25	must	must	AUX
ap-660	156	26	add	add	VERB
ap-660	156	27	the	the	DET
ap-660	156	28	vector	vector	NOUN
ap-660	156	29	effect	effect	NOUN
ap-660	156	30	of	of	ADP
ap-660	156	31	all	all	DET
ap-660	156	32	interatomic	interatomic	ADJ
ap-660	156	33	forces	force	NOUN
ap-660	156	34	on	on	ADP
ap-660	156	35	this	this	DET
ap-660	156	36	surface	surface	NOUN
ap-660	156	37	.	.	PUNCT
ap-660	157	1	generally	generally	ADV
ap-660	157	2	speaking	speak	VERB
ap-660	157	3	,	,	PUNCT
ap-660	157	4	the	the	DET
ap-660	157	5	forces	force	NOUN
ap-660	157	6	f	f	AUX
ap-660	157	7	affect	affect	VERB
ap-660	157	8	the	the	DET
ap-660	157	9	area	area	NOUN
ap-660	157	10	a	a	DET
ap-660	157	11	obliquely	obliquely	ADV
ap-660	157	12	only	only	ADV
ap-660	157	13	by	by	ADP
ap-660	157	14	reduced	reduced	ADJ
ap-660	157	15	values	value	NOUN
ap-660	157	16	for	for	ADP
ap-660	157	17	which	which	PRON
ap-660	157	18	it	it	PRON
ap-660	157	19	holds	hold	VERB
ap-660	157	20	that	that	SCONJ
ap-660	157	21	f	f	PROPN
ap-660	157	22	fred	fred	PROPN
ap-660	157	23	�	�	PROPN
ap-660	157	24	�	�	PROPN
ap-660	157	25	cos	cos	PROPN
ap-660	157	26	�	�	PROPN
ap-660	157	27	.	.	PUNCT
ap-660	158	1	(	(	PUNCT
ap-660	158	2	13	13	NUM
ap-660	158	3	)	)	PUNCT
ap-660	158	4	the	the	DET
ap-660	158	5	resulting	result	VERB
ap-660	158	6	internal	internal	ADJ
ap-660	158	7	force	force	NOUN
ap-660	158	8	f1	f1	NOUN
ap-660	158	9	is	be	AUX
ap-660	158	10	then	then	ADV
ap-660	158	11	the	the	DET
ap-660	158	12	vector	vector	NOUN
ap-660	158	13	sum	sum	NOUN
ap-660	158	14	of	of	ADP
ap-660	158	15	all	all	DET
ap-660	158	16	partial	partial	ADJ
ap-660	158	17	internal	internal	ADJ
ap-660	158	18	forces	force	NOUN
ap-660	158	19	acting	act	VERB
ap-660	158	20	on	on	ADP
ap-660	158	21	the	the	DET
ap-660	158	22	given	give	VERB
ap-660	158	23	area	area	NOUN
ap-660	158	24	from	from	ADP
ap-660	158	25	one	one	NUM
ap-660	158	26	side	side	NOUN
ap-660	158	27	f1	f1	NOUN
ap-660	158	28	1	1	NUM
ap-660	158	29	2	2	NUM
ap-660	158	30	1	1	NUM
ap-660	158	31	�	�	PROPN
ap-660	158	32	�	�	PROPN
ap-660	158	33	�	�	PROPN
ap-660	158	34	�	�	PROPN
ap-660	158	35	�	�	PROPN
ap-660	158	36	�	�	PROPN
ap-660	158	37	�	�	PROPN
ap-660	158	38	�	�	PROPN
ap-660	158	39	f	f	PROPN
ap-660	159	1	fi	fi	NOUN
ap-660	160	1	i	i	PRON
ap-660	161	1	i	i	PRON
ap-660	162	1	n	n	VERB
ap-660	163	1	i	i	PRON
ap-660	164	1	i	i	PRON
ap-660	164	2	i	i	PRON
ap-660	164	3	n	n	VERB
ap-660	164	4	red	red	VERB
ap-660	164	5	,	,	PUNCT
ap-660	164	6	cos	cos	PROPN
ap-660	164	7	cos	cos	PROPN
ap-660	164	8	�	�	PROPN
ap-660	164	9	�	�	PROPN
ap-660	164	10	for	for	ADP
ap-660	164	11	i	i	PROPN
ap-660	164	12	�	�	PROPN
ap-660	164	13	1	1	NUM
ap-660	164	14	to	to	ADP
ap-660	164	15	n	n	PROPN
ap-660	164	16	.	.	PUNCT
ap-660	165	1	(	(	PUNCT
ap-660	165	2	14	14	NUM
ap-660	165	3	)	)	PUNCT
ap-660	165	4	the	the	DET
ap-660	165	5	schematic	schematic	ADJ
ap-660	165	6	diagram	diagram	NOUN
ap-660	165	7	also	also	ADV
ap-660	165	8	reveals	reveal	VERB
ap-660	165	9	why	why	SCONJ
ap-660	165	10	in	in	ADP
ap-660	165	11	the	the	DET
ap-660	165	12	case	case	NOUN
ap-660	165	13	of	of	ADP
ap-660	165	14	biaxial	biaxial	ADJ
ap-660	165	15	compression	compression	NOUN
ap-660	165	16	the	the	DET
ap-660	165	17	internal	internal	ADJ
ap-660	165	18	force	force	NOUN
ap-660	165	19	in	in	ADP
ap-660	165	20	direction	direction	NOUN
ap-660	165	21	x1	x1	PROPN
ap-660	165	22	equals	equal	VERB
ap-660	165	23	zero	zero	NUM
ap-660	165	24	,	,	PUNCT
ap-660	165	25	although	although	SCONJ
ap-660	165	26	the	the	DET
ap-660	165	27	body	body	NOUN
ap-660	165	28	elongates	elongate	VERB
ap-660	165	29	in	in	ADP
ap-660	165	30	the	the	DET
ap-660	165	31	same	same	ADJ
ap-660	165	32	direction	direction	NOUN
ap-660	165	33	.	.	PUNCT
ap-660	166	1	this	this	PRON
ap-660	166	2	is	be	AUX
ap-660	166	3	due	due	ADJ
ap-660	166	4	to	to	PART
ap-660	166	5	fact	fact	NOUN
ap-660	166	6	that	that	SCONJ
ap-660	166	7	the	the	DET
ap-660	166	8	magnitude	magnitude	NOUN
ap-660	166	9	of	of	ADP
ap-660	166	10	the	the	DET
ap-660	166	11	internal	internal	ADJ
ap-660	166	12	force	force	NOUN
ap-660	166	13	f1	f1	NOUN
ap-660	166	14	is	be	AUX
ap-660	166	15	participated	participate	VERB
ap-660	166	16	in	in	ADP
ap-660	166	17	by	by	ADP
ap-660	166	18	both	both	CCONJ
ap-660	166	19	positive	positive	ADJ
ap-660	166	20	and	and	CCONJ
ap-660	166	21	negative	negative	ADJ
ap-660	166	22	internal	internal	ADJ
ap-660	166	23	forces	force	NOUN
ap-660	166	24	.	.	PUNCT
ap-660	167	1	the	the	DET
ap-660	167	2	sum	sum	NOUN
ap-660	167	3	of	of	ADP
ap-660	167	4	their	their	PRON
ap-660	167	5	normal	normal	ADJ
ap-660	167	6	components	component	NOUN
ap-660	167	7	is	be	AUX
ap-660	167	8	in	in	ADP
ap-660	167	9	this	this	DET
ap-660	167	10	case	case	NOUN
ap-660	167	11	the	the	DET
ap-660	167	12	zero	zero	NUM
ap-660	167	13	internal	internal	ADJ
ap-660	167	14	force	force	NOUN
ap-660	167	15	.	.	PUNCT
ap-660	168	1	the	the	DET
ap-660	168	2	idealization	idealization	NOUN
ap-660	168	3	of	of	ADP
ap-660	168	4	the	the	DET
ap-660	168	5	forces	force	NOUN
ap-660	168	6	acting	act	VERB
ap-660	168	7	on	on	ADP
ap-660	168	8	the	the	DET
ap-660	168	9	given	give	VERB
ap-660	168	10	atom	atom	NOUN
ap-660	168	11	,	,	PUNCT
ap-660	168	12	accompanied	accompany	VERB
ap-660	168	13	by	by	ADP
ap-660	168	14	the	the	DET
ap-660	168	15	change	change	NOUN
ap-660	168	16	in	in	ADP
ap-660	168	17	its	its	PRON
ap-660	168	18	distance	distance	NOUN
ap-660	168	19	from	from	ADP
ap-660	168	20	the	the	DET
ap-660	168	21	adjacent	adjacent	ADJ
ap-660	168	22	atoms	atom	NOUN
ap-660	168	23	,	,	PUNCT
ap-660	168	24	gives	give	VERB
ap-660	168	25	only	only	ADV
ap-660	168	26	an	an	DET
ap-660	168	27	approximate	approximate	ADJ
ap-660	168	28	picture	picture	NOUN
ap-660	168	29	of	of	ADP
ap-660	168	30	the	the	DET
ap-660	168	31	force	force	NOUN
ap-660	168	32	effects	effect	NOUN
ap-660	168	33	among	among	ADP
ap-660	168	34	the	the	DET
ap-660	168	35	atoms	atom	NOUN
ap-660	168	36	.	.	PUNCT
ap-660	169	1	this	this	PRON
ap-660	169	2	is	be	AUX
ap-660	169	3	due	due	ADJ
ap-660	169	4	to	to	ADP
ap-660	169	5	the	the	DET
ap-660	169	6	fact	fact	NOUN
ap-660	169	7	that	that	SCONJ
ap-660	169	8	the	the	DET
ap-660	169	9	forces	force	NOUN
ap-660	169	10	fi	fi	NOUN
ap-660	169	11	are	be	AUX
ap-660	169	12	discrete	discrete	ADJ
ap-660	169	13	quantities	quantity	NOUN
ap-660	169	14	,	,	PUNCT
ap-660	169	15	cumulating	cumulate	VERB
ap-660	169	16	the	the	DET
ap-660	169	17	deformation	deformation	NOUN
ap-660	169	18	force	force	NOUN
ap-660	169	19	effect	effect	NOUN
ap-660	169	20	on	on	ADP
ap-660	169	21	the	the	DET
ap-660	169	22	given	give	VERB
ap-660	169	23	three	three	NUM
ap-660	169	24	-	-	PUNCT
ap-660	169	25	dimensional	dimensional	ADJ
ap-660	169	26	element	element	NOUN
ap-660	169	27	(	(	PUNCT
ap-660	169	28	atom	atom	NOUN
ap-660	169	29	)	)	PUNCT
ap-660	169	30	from	from	ADP
ap-660	169	31	a	a	DET
ap-660	169	32	certain	certain	ADJ
ap-660	169	33	spatial	spatial	ADJ
ap-660	169	34	angle	angle	NOUN
ap-660	169	35	into	into	ADP
ap-660	169	36	one	one	NUM
ap-660	169	37	vector	vector	NOUN
ap-660	169	38	,	,	PUNCT
ap-660	169	39	while	while	SCONJ
ap-660	169	40	the	the	DET
ap-660	169	41	relative	relative	ADJ
ap-660	169	42	elongation	elongation	NOUN
ap-660	169	43	changes	change	VERB
ap-660	169	44	continuously	continuously	ADV
ap-660	169	45	within	within	ADP
ap-660	169	46	the	the	DET
ap-660	169	47	same	same	ADJ
ap-660	169	48	spatial	spatial	ADJ
ap-660	169	49	angle	angle	NOUN
ap-660	169	50	.	.	PUNCT
ap-660	170	1	©	©	PROPN
ap-660	170	2	czech	czech	PROPN
ap-660	170	3	technical	technical	PROPN
ap-660	170	4	university	university	PROPN
ap-660	170	5	publishing	publishing	NOUN
ap-660	170	6	house	house	NOUN
ap-660	170	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-660	170	8	7	7	NUM
ap-660	170	9	czech	czech	PROPN
ap-660	170	10	technical	technical	PROPN
ap-660	170	11	university	university	PROPN
ap-660	170	12	in	in	ADP
ap-660	170	13	prague	prague	PROPN
ap-660	170	14	acta	acta	PROPN
ap-660	170	15	polytechnica	polytechnica	PROPN
ap-660	170	16	vol	vol	NOUN
ap-660	170	17	.	.	PROPN
ap-660	171	1	45	45	NUM
ap-660	171	2	no	no	NOUN
ap-660	171	3	.	.	PUNCT
ap-660	172	1	1/2005	1/2005	NUM
ap-660	172	2	fig	fig	NOUN
ap-660	172	3	.	.	PUNCT
ap-660	173	1	8	8	NUM
ap-660	173	2	:	:	PUNCT
ap-660	173	3	cubic	cubic	ADJ
ap-660	173	4	face	face	NOUN
ap-660	173	5	centered	center	VERB
ap-660	173	6	crystal	crystal	NOUN
ap-660	173	7	structure	structure	NOUN
ap-660	173	8	fig	fig	NOUN
ap-660	173	9	.	.	PUNCT
ap-660	174	1	9	9	NUM
ap-660	174	2	:	:	PUNCT
ap-660	174	3	schematic	schematic	ADJ
ap-660	174	4	diagram	diagram	NOUN
ap-660	174	5	of	of	ADP
ap-660	174	6	the	the	DET
ap-660	174	7	forces	force	NOUN
ap-660	174	8	produced	produce	VERB
ap-660	174	9	by	by	ADP
ap-660	174	10	biaxial	biaxial	ADJ
ap-660	174	11	compression	compression	NOUN
ap-660	174	12	between	between	ADP
ap-660	174	13	a	a	DET
ap-660	174	14	given	give	VERB
ap-660	174	15	atom	atom	NOUN
ap-660	174	16	and	and	CCONJ
ap-660	174	17	its	its	PRON
ap-660	174	18	neighbours	neighbour	NOUN
ap-660	174	19	according	accord	VERB
ap-660	174	20	to	to	ADP
ap-660	174	21	this	this	DET
ap-660	174	22	model	model	NOUN
ap-660	174	23	,	,	PUNCT
ap-660	174	24	the	the	DET
ap-660	174	25	number	number	NOUN
ap-660	174	26	of	of	ADP
ap-660	174	27	forces	force	NOUN
ap-660	174	28	f	f	PROPN
ap-660	174	29	is	be	AUX
ap-660	174	30	limited	limit	VERB
ap-660	174	31	by	by	ADP
ap-660	174	32	the	the	DET
ap-660	174	33	number	number	NOUN
ap-660	174	34	of	of	ADP
ap-660	174	35	the	the	DET
ap-660	174	36	nearest	near	ADJ
ap-660	174	37	neighbours	neighbour	NOUN
ap-660	174	38	of	of	ADP
ap-660	174	39	the	the	DET
ap-660	174	40	given	give	VERB
ap-660	174	41	atom	atom	NOUN
ap-660	174	42	.	.	PUNCT
ap-660	175	1	the	the	DET
ap-660	175	2	forces	force	NOUN
ap-660	175	3	acting	act	VERB
ap-660	175	4	linearly	linearly	ADV
ap-660	175	5	between	between	ADP
ap-660	175	6	the	the	DET
ap-660	175	7	atoms	atom	NOUN
ap-660	175	8	are	be	AUX
ap-660	175	9	based	base	VERB
ap-660	175	10	on	on	ADP
ap-660	175	11	the	the	DET
ap-660	175	12	idealization	idealization	NOUN
ap-660	175	13	of	of	ADP
ap-660	175	14	a	a	DET
ap-660	175	15	three	three	NUM
ap-660	175	16	-	-	PUNCT
ap-660	175	17	dimensional	dimensional	ADJ
ap-660	175	18	material	material	NOUN
ap-660	175	19	element	element	NOUN
ap-660	175	20	(	(	PUNCT
ap-660	175	21	an	an	DET
ap-660	175	22	atom	atom	NOUN
ap-660	175	23	in	in	ADP
ap-660	175	24	this	this	DET
ap-660	175	25	particular	particular	ADJ
ap-660	175	26	case	case	NOUN
ap-660	175	27	)	)	PUNCT
ap-660	175	28	by	by	ADP
ap-660	175	29	a	a	DET
ap-660	175	30	material	material	NOUN
ap-660	175	31	point	point	NOUN
ap-660	175	32	.	.	PUNCT
ap-660	176	1	actually	actually	ADV
ap-660	176	2	,	,	PUNCT
ap-660	176	3	the	the	DET
ap-660	176	4	force	force	NOUN
ap-660	176	5	interaction	interaction	NOUN
ap-660	176	6	of	of	ADP
ap-660	176	7	the	the	DET
ap-660	176	8	given	give	VERB
ap-660	176	9	atom	atom	NOUN
ap-660	176	10	with	with	ADP
ap-660	176	11	every	every	DET
ap-660	176	12	one	one	NUM
ap-660	176	13	of	of	ADP
ap-660	176	14	its	its	PRON
ap-660	176	15	neighbours	neighbour	NOUN
ap-660	176	16	is	be	AUX
ap-660	176	17	realized	realize	VERB
ap-660	176	18	by	by	ADP
ap-660	176	19	the	the	DET
ap-660	176	20	interaction	interaction	NOUN
ap-660	176	21	of	of	ADP
ap-660	176	22	all	all	DET
ap-660	176	23	their	their	PRON
ap-660	176	24	particles	particle	NOUN
ap-660	176	25	,	,	PUNCT
ap-660	176	26	particularly	particularly	ADV
ap-660	176	27	protons	proton	NOUN
ap-660	176	28	with	with	ADP
ap-660	176	29	a	a	DET
ap-660	176	30	positive	positive	ADJ
ap-660	176	31	charge	charge	NOUN
ap-660	176	32	and	and	CCONJ
ap-660	176	33	moving	move	VERB
ap-660	176	34	electrons	electron	NOUN
ap-660	176	35	with	with	ADP
ap-660	176	36	a	a	DET
ap-660	176	37	negative	negative	ADJ
ap-660	176	38	charge	charge	NOUN
ap-660	176	39	.	.	PUNCT
ap-660	177	1	the	the	DET
ap-660	177	2	charges	charge	NOUN
ap-660	177	3	with	with	ADP
ap-660	177	4	the	the	DET
ap-660	177	5	same	same	ADJ
ap-660	177	6	sign	sign	NOUN
ap-660	177	7	repel	repel	VERB
ap-660	177	8	one	one	NOUN
ap-660	177	9	another	another	DET
ap-660	177	10	,	,	PUNCT
ap-660	177	11	while	while	SCONJ
ap-660	177	12	the	the	DET
ap-660	177	13	charges	charge	NOUN
ap-660	177	14	with	with	ADP
ap-660	177	15	different	different	ADJ
ap-660	177	16	signs	sign	NOUN
ap-660	177	17	attract	attract	VERB
ap-660	177	18	one	one	NUM
ap-660	177	19	another	another	DET
ap-660	177	20	.	.	PUNCT
ap-660	178	1	the	the	DET
ap-660	178	2	load	load	NOUN
ap-660	178	3	changes	change	VERB
ap-660	178	4	the	the	DET
ap-660	178	5	shape	shape	NOUN
ap-660	178	6	and	and	CCONJ
ap-660	178	7	volume	volume	NOUN
ap-660	178	8	of	of	ADP
ap-660	178	9	the	the	DET
ap-660	178	10	electron	electron	NOUN
ap-660	178	11	cloud	cloud	NOUN
ap-660	178	12	and	and	CCONJ
ap-660	178	13	,	,	PUNCT
ap-660	178	14	consequently	consequently	ADV
ap-660	178	15	,	,	PUNCT
ap-660	178	16	the	the	DET
ap-660	178	17	distance	distance	NOUN
ap-660	178	18	of	of	ADP
ap-660	178	19	the	the	DET
ap-660	178	20	atoms	atom	NOUN
ap-660	178	21	,	,	PUNCT
ap-660	178	22	giving	give	VERB
ap-660	178	23	rise	rise	NOUN
ap-660	178	24	to	to	ADP
ap-660	178	25	an	an	DET
ap-660	178	26	electromagnetic	electromagnetic	ADJ
ap-660	178	27	field	field	NOUN
ap-660	178	28	which	which	PRON
ap-660	178	29	manifests	manifest	VERB
ap-660	178	30	itself	itself	PRON
ap-660	178	31	by	by	ADP
ap-660	178	32	the	the	DET
ap-660	178	33	continued	continue	VERB
ap-660	178	34	force	force	NOUN
ap-660	178	35	effect	effect	NOUN
ap-660	178	36	on	on	ADP
ap-660	178	37	the	the	DET
ap-660	178	38	given	give	VERB
ap-660	178	39	atom	atom	NOUN
ap-660	178	40	simultaneously	simultaneously	ADV
ap-660	178	41	with	with	ADP
ap-660	178	42	a	a	DET
ap-660	178	43	continuous	continuous	ADJ
ap-660	178	44	change	change	NOUN
ap-660	178	45	in	in	ADP
ap-660	178	46	its	its	PRON
ap-660	178	47	shape	shape	NOUN
ap-660	178	48	and	and	CCONJ
ap-660	178	49	dimensions	dimension	NOUN
ap-660	178	50	.	.	PUNCT
ap-660	179	1	we	we	PRON
ap-660	179	2	speak	speak	VERB
ap-660	179	3	about	about	ADP
ap-660	179	4	the	the	DET
ap-660	179	5	deformation	deformation	NOUN
ap-660	179	6	force	force	NOUN
ap-660	179	7	effect	effect	NOUN
ap-660	179	8	.	.	PUNCT
ap-660	180	1	2.2	2.2	NUM
ap-660	180	2	dependence	dependence	NOUN
ap-660	180	3	of	of	ADP
ap-660	180	4	classical	classical	ADJ
ap-660	180	5	stress	stress	NOUN
ap-660	180	6	on	on	ADP
ap-660	180	7	the	the	DET
ap-660	180	8	deformation	deformation	NOUN
ap-660	180	9	stress	stress	NOUN
ap-660	180	10	state	state	NOUN
ap-660	180	11	at	at	ADP
ap-660	180	12	a	a	DET
ap-660	180	13	small	small	ADJ
ap-660	180	14	distance	distance	NOUN
ap-660	180	15	from	from	ADP
ap-660	180	16	a	a	DET
ap-660	180	17	given	give	VERB
ap-660	180	18	point	point	NOUN
ap-660	180	19	it	it	PRON
ap-660	180	20	is	be	AUX
ap-660	180	21	possible	possible	ADJ
ap-660	180	22	to	to	PART
ap-660	180	23	consider	consider	VERB
ap-660	180	24	the	the	DET
ap-660	180	25	relative	relative	ADJ
ap-660	180	26	elongation	elongation	NOUN
ap-660	180	27	in	in	ADP
ap-660	180	28	a	a	DET
ap-660	180	29	given	give	VERB
ap-660	180	30	direction	direction	NOUN
ap-660	180	31	as	as	ADP
ap-660	180	32	constant	constant	ADJ
ap-660	180	33	.	.	PUNCT
ap-660	181	1	therefore	therefore	ADV
ap-660	181	2	,	,	PUNCT
ap-660	181	3	when	when	SCONJ
ap-660	181	4	examining	examine	VERB
ap-660	181	5	the	the	DET
ap-660	181	6	dependence	dependence	NOUN
ap-660	181	7	between	between	ADP
ap-660	181	8	a	a	DET
ap-660	181	9	deformation	deformation	NOUN
ap-660	181	10	and	and	CCONJ
ap-660	181	11	stress	stress	NOUN
ap-660	181	12	state	state	NOUN
ap-660	181	13	in	in	ADP
ap-660	181	14	the	the	DET
ap-660	181	15	environs	environ	NOUN
ap-660	181	16	of	of	ADP
ap-660	181	17	a	a	DET
ap-660	181	18	given	give	VERB
ap-660	181	19	atom	atom	NOUN
ap-660	181	20	,	,	PUNCT
ap-660	181	21	we	we	PRON
ap-660	181	22	can	can	AUX
ap-660	181	23	replace	replace	VERB
ap-660	181	24	the	the	DET
ap-660	181	25	force	force	NOUN
ap-660	181	26	effect	effect	NOUN
ap-660	181	27	on	on	ADP
ap-660	181	28	the	the	DET
ap-660	181	29	atom	atom	NOUN
ap-660	181	30	with	with	ADP
ap-660	181	31	the	the	DET
ap-660	181	32	stress	stress	ADJ
ap-660	181	33	state	state	NOUN
ap-660	181	34	of	of	ADP
ap-660	181	35	a	a	DET
ap-660	181	36	macroscopic	macroscopic	ADJ
ap-660	181	37	spherical	spherical	ADJ
ap-660	181	38	element	element	NOUN
ap-660	181	39	of	of	ADP
ap-660	181	40	very	very	ADV
ap-660	181	41	small	small	ADJ
ap-660	181	42	radius	radius	NOUN
ap-660	181	43	with	with	ADP
ap-660	181	44	its	its	PRON
ap-660	181	45	centre	centre	NOUN
ap-660	181	46	coinciding	coincide	VERB
ap-660	181	47	with	with	ADP
ap-660	181	48	the	the	DET
ap-660	181	49	centre	centre	NOUN
ap-660	181	50	of	of	ADP
ap-660	181	51	the	the	DET
ap-660	181	52	atom	atom	NOUN
ap-660	181	53	.	.	PUNCT
ap-660	182	1	the	the	DET
ap-660	182	2	strain	strain	ADJ
ap-660	182	3	state	state	NOUN
ap-660	182	4	of	of	ADP
ap-660	182	5	a	a	DET
ap-660	182	6	spherical	spherical	ADJ
ap-660	182	7	element	element	NOUN
ap-660	182	8	of	of	ADP
ap-660	182	9	unit	unit	NOUN
ap-660	182	10	radius	radius	NOUN
ap-660	182	11	gives	give	VERB
ap-660	182	12	the	the	DET
ap-660	182	13	elongation	elongation	NOUN
ap-660	182	14	of	of	ADP
ap-660	182	15	the	the	DET
ap-660	182	16	radius	radius	NOUN
ap-660	182	17	in	in	ADP
ap-660	182	18	all	all	DET
ap-660	182	19	directions	direction	NOUN
ap-660	182	20	the	the	DET
ap-660	182	21	magnitude	magnitude	NOUN
ap-660	182	22	of	of	ADP
ap-660	182	23	the	the	DET
ap-660	182	24	relative	relative	ADJ
ap-660	182	25	elongation	elongation	NOUN
ap-660	182	26	.	.	PUNCT
ap-660	183	1	fig	fig	NOUN
ap-660	183	2	.	.	PUNCT
ap-660	184	1	10a	10a	PROPN
ap-660	184	2	shows	show	VERB
ap-660	184	3	the	the	DET
ap-660	184	4	deformation	deformation	NOUN
ap-660	184	5	of	of	ADP
ap-660	184	6	a	a	DET
ap-660	184	7	spherical	spherical	ADJ
ap-660	184	8	element	element	NOUN
ap-660	184	9	of	of	ADP
ap-660	184	10	unit	unit	NOUN
ap-660	184	11	radius	radius	NOUN
ap-660	184	12	loaded	load	VERB
ap-660	184	13	by	by	ADP
ap-660	184	14	uniaxial	uniaxial	ADJ
ap-660	184	15	tension	tension	NOUN
ap-660	184	16	,	,	PUNCT
ap-660	184	17	while	while	SCONJ
ap-660	184	18	fig	fig	NOUN
ap-660	184	19	.	.	PUNCT
ap-660	185	1	10b	10b	NOUN
ap-660	185	2	is	be	AUX
ap-660	185	3	a	a	DET
ap-660	185	4	schematic	schematic	ADJ
ap-660	185	5	representation	representation	NOUN
ap-660	185	6	of	of	ADP
ap-660	185	7	the	the	DET
ap-660	185	8	deformation	deformation	NOUN
ap-660	185	9	force	force	NOUN
ap-660	185	10	effect	effect	NOUN
ap-660	185	11	on	on	ADP
ap-660	185	12	the	the	DET
ap-660	185	13	same	same	ADJ
ap-660	185	14	element	element	NOUN
ap-660	185	15	.	.	PUNCT
ap-660	186	1	within	within	ADP
ap-660	186	2	the	the	DET
ap-660	186	3	scope	scope	NOUN
ap-660	186	4	of	of	ADP
ap-660	186	5	the	the	DET
ap-660	186	6	differential	differential	ADJ
ap-660	186	7	solid	solid	ADJ
ap-660	186	8	angle	angle	NOUN
ap-660	186	9	d	d	PROPN
ap-660	186	10	(	(	PUNCT
ap-660	186	11	fig	fig	NOUN
ap-660	186	12	.	.	PUNCT
ap-660	186	13	10c	10c	NOUN
ap-660	186	14	)	)	PUNCT
ap-660	186	15	,	,	PUNCT
ap-660	186	16	the	the	DET
ap-660	186	17	deformation	deformation	NOUN
ap-660	186	18	force	force	NOUN
ap-660	186	19	dd	dd	VERB
ap-660	186	20	acts	act	NOUN
ap-660	186	21	on	on	ADP
ap-660	186	22	the	the	DET
ap-660	186	23	area	area	NOUN
ap-660	186	24	of	of	ADP
ap-660	186	25	the	the	DET
ap-660	186	26	element	element	NOUN
ap-660	186	27	surface	surface	PROPN
ap-660	186	28	dasf	dasf	PROPN
ap-660	186	29	�	�	PROPN
ap-660	186	30	r2d	r2d	PROPN
ap-660	186	31	(	(	PUNCT
ap-660	186	32	for	for	ADP
ap-660	186	33	the	the	DET
ap-660	186	34	radius	radius	NOUN
ap-660	186	35	r	r	PROPN
ap-660	186	36	�	�	PROPN
ap-660	186	37	1	1	NUM
ap-660	186	38	it	it	PRON
ap-660	186	39	is	be	AUX
ap-660	186	40	dd	dd	VERB
ap-660	186	41	�	�	PROPN
ap-660	186	42	dd1	dd1	NOUN
ap-660	186	43	and	and	CCONJ
ap-660	186	44	dasf	dasf	PROPN
ap-660	186	45	�	�	PROPN
ap-660	186	46	d	d	PROPN
ap-660	186	47	)	)	PUNCT
ap-660	186	48	.	.	PUNCT
ap-660	187	1	for	for	ADP
ap-660	187	2	the	the	DET
ap-660	187	3	quota	quota	NOUN
ap-660	187	4	of	of	ADP
ap-660	187	5	deformation	deformation	NOUN
ap-660	187	6	force	force	NOUN
ap-660	187	7	dd1	dd1	NOUN
ap-660	187	8	and	and	CCONJ
ap-660	187	9	the	the	DET
ap-660	187	10	spherical	spherical	ADJ
ap-660	187	11	area	area	NOUN
ap-660	187	12	dasf	dasf	PROPN
ap-660	187	13	�	�	PROPN
ap-660	187	14	d	d	PROPN
ap-660	187	15	affected	affect	VERB
ap-660	187	16	by	by	ADP
ap-660	187	17	it	it	PRON
ap-660	187	18	we	we	PRON
ap-660	187	19	shall	shall	AUX
ap-660	187	20	introduce	introduce	VERB
ap-660	187	21	the	the	DET
ap-660	187	22	term	term	NOUN
ap-660	187	23	deformation	deformation	NOUN
ap-660	187	24	stress	stress	NOUN
ap-660	187	25	(	(	PUNCT
ap-660	187	26	)	)	PUNCT
ap-660	187	27	�	�	PROPN
ap-660	187	28	�	�	PROPN
ap-660	187	29	d	d	PROPN
ap-660	187	30	d	d	PROPN
ap-660	187	31	d	d	PROPN
ap-660	187	32	d	d	PROPN
ap-660	187	33	n	n	CCONJ
ap-660	187	34	mm	mm	INTJ
ap-660	188	1	sf	sf	INTJ
ap-660	188	2	1d	1d	NUM
ap-660	189	1	a	a	DET
ap-660	189	2	d	d	X
ap-660	189	3	[	[	PUNCT
ap-660	189	4	]	]	X
ap-660	189	5	2	2	NUM
ap-660	189	6	.	.	PUNCT
ap-660	190	1	(	(	PUNCT
ap-660	190	2	15	15	NUM
ap-660	190	3	)	)	PUNCT
ap-660	190	4	like	like	ADP
ap-660	190	5	the	the	DET
ap-660	190	6	elementary	elementary	ADJ
ap-660	190	7	deformation	deformation	NOUN
ap-660	190	8	force	force	NOUN
ap-660	190	9	,	,	PUNCT
ap-660	190	10	the	the	DET
ap-660	190	11	deformation	deformation	NOUN
ap-660	190	12	stress	stress	NOUN
ap-660	190	13	must	must	AUX
ap-660	190	14	also	also	ADV
ap-660	190	15	be	be	AUX
ap-660	190	16	positive	positive	ADJ
ap-660	190	17	in	in	ADP
ap-660	190	18	the	the	DET
ap-660	190	19	direction	direction	NOUN
ap-660	190	20	of	of	ADP
ap-660	190	21	the	the	DET
ap-660	190	22	positive	positive	ADJ
ap-660	190	23	elongation	elongation	NOUN
ap-660	190	24	,	,	PUNCT
ap-660	190	25	negative	negative	ADJ
ap-660	190	26	in	in	ADP
ap-660	190	27	the	the	DET
ap-660	190	28	direction	direction	NOUN
ap-660	190	29	of	of	ADP
ap-660	190	30	relative	relative	ADJ
ap-660	190	31	shortening	shortening	NOUN
ap-660	190	32	,	,	PUNCT
ap-660	190	33	and	and	CCONJ
ap-660	190	34	equal	equal	ADJ
ap-660	190	35	to	to	ADP
ap-660	190	36	zero	zero	NUM
ap-660	190	37	in	in	ADP
ap-660	190	38	the	the	DET
ap-660	190	39	direction	direction	NOUN
ap-660	190	40	of	of	ADP
ap-660	190	41	zero	zero	NUM
ap-660	190	42	elongation	elongation	NOUN
ap-660	190	43	.	.	PUNCT
ap-660	191	1	when	when	SCONJ
ap-660	191	2	taking	take	VERB
ap-660	191	3	into	into	ADP
ap-660	191	4	account	account	NOUN
ap-660	191	5	the	the	DET
ap-660	191	6	corpuscular	corpuscular	ADJ
ap-660	191	7	structure	structure	NOUN
ap-660	191	8	of	of	ADP
ap-660	191	9	bodies	body	NOUN
ap-660	191	10	,	,	PUNCT
ap-660	191	11	the	the	DET
ap-660	191	12	shear	shear	NOUN
ap-660	191	13	stress	stress	NOUN
ap-660	191	14	has	have	VERB
ap-660	191	15	no	no	DET
ap-660	191	16	real	real	ADJ
ap-660	191	17	meaning	meaning	NOUN
ap-660	191	18	.	.	PUNCT
ap-660	192	1	the	the	DET
ap-660	192	2	definition	definition	NOUN
ap-660	192	3	of	of	ADP
ap-660	192	4	deformation	deformation	NOUN
ap-660	192	5	stress	stress	NOUN
ap-660	192	6	will	will	AUX
ap-660	192	7	reduce	reduce	VERB
ap-660	192	8	the	the	DET
ap-660	192	9	relation	relation	NOUN
ap-660	192	10	(	(	PUNCT
ap-660	192	11	12	12	NUM
ap-660	192	12	)	)	PUNCT
ap-660	192	13	to	to	ADP
ap-660	192	14	the	the	DET
ap-660	192	15	proportionality	proportionality	NOUN
ap-660	192	16	between	between	ADP
ap-660	192	17	stress	stress	NOUN
ap-660	192	18	and	and	CCONJ
ap-660	192	19	relative	relative	ADJ
ap-660	192	20	longitudinal	longitudinal	ADJ
ap-660	192	21	change	change	NOUN
ap-660	192	22	�	�	PROPN
ap-660	192	23	�	�	PROPN
ap-660	192	24	c	c	PROPN
ap-660	192	25	�	�	PROPN
ap-660	192	26	,	,	PUNCT
ap-660	192	27	(	(	PUNCT
ap-660	192	28	16	16	NUM
ap-660	192	29	)	)	PUNCT
ap-660	192	30	where	where	SCONJ
ap-660	192	31	c	c	NOUN
ap-660	192	32	is	be	AUX
ap-660	192	33	the	the	DET
ap-660	192	34	coefficient	coefficient	NOUN
ap-660	192	35	of	of	ADP
ap-660	192	36	proportionality	proportionality	NOUN
ap-660	192	37	between	between	ADP
ap-660	192	38	deformation	deformation	NOUN
ap-660	192	39	stress	stress	NOUN
ap-660	192	40	and	and	CCONJ
ap-660	192	41	relative	relative	ADJ
ap-660	192	42	elongation	elongation	NOUN
ap-660	192	43	.	.	PUNCT
ap-660	193	1	if	if	SCONJ
ap-660	193	2	we	we	PRON
ap-660	193	3	substitute	substitute	VERB
ap-660	193	4	�	�	PROPN
ap-660	193	5	�	�	PROPN
ap-660	193	6	from	from	ADP
ap-660	193	7	eq	eq	PROPN
ap-660	193	8	.	.	PUNCT
ap-660	194	1	(	(	PUNCT
ap-660	194	2	5	5	NUM
ap-660	194	3	)	)	PUNCT
ap-660	194	4	in	in	ADP
ap-660	194	5	eq	eq	ADP
ap-660	194	6	.	.	PUNCT
ap-660	195	1	(	(	PUNCT
ap-660	195	2	16	16	NUM
ap-660	195	3	)	)	PUNCT
ap-660	195	4	,	,	PUNCT
ap-660	195	5	we	we	PRON
ap-660	195	6	obtain	obtain	VERB
ap-660	195	7	the	the	DET
ap-660	195	8	equation	equation	NOUN
ap-660	195	9	for	for	ADP
ap-660	195	10	deformation	deformation	NOUN
ap-660	195	11	stress	stress	NOUN
ap-660	195	12	in	in	ADP
ap-660	195	13	a	a	DET
ap-660	195	14	general	general	ADJ
ap-660	195	15	direction	direction	NOUN
ap-660	195	16	of	of	ADP
ap-660	195	17	a	a	DET
ap-660	195	18	uniaxially	uniaxially	ADV
ap-660	195	19	loaded	load	VERB
ap-660	195	20	body	body	NOUN
ap-660	195	21	�	�	PROPN
ap-660	195	22	�	�	PROPN
ap-660	195	23	�	�	PROPN
ap-660	195	24	�	�	PROPN
ap-660	195	25	�	�	PROPN
ap-660	195	26	�	�	PROPN
ap-660	195	27	�	�	PROPN
ap-660	195	28	c	c	PROPN
ap-660	195	29	e	e	X
ap-660	195	30	�	�	PROPN
ap-660	195	31	1	1	NUM
ap-660	195	32	21	21	NUM
ap-660	195	33	(	(	PUNCT
ap-660	195	34	)	)	PUNCT
ap-660	195	35	cos	cos	PROPN
ap-660	195	36	.	.	PUNCT
ap-660	196	1	(	(	PUNCT
ap-660	196	2	17	17	NUM
ap-660	196	3	)	)	PUNCT
ap-660	196	4	after	after	ADP
ap-660	196	5	the	the	DET
ap-660	196	6	substitution	substitution	NOUN
ap-660	196	7	of	of	ADP
ap-660	196	8	�	�	PROPN
ap-660	196	9	�	�	PROPN
ap-660	196	10	from	from	ADP
ap-660	196	11	eq	eq	PROPN
ap-660	196	12	.	.	PUNCT
ap-660	197	1	(	(	PUNCT
ap-660	197	2	10	10	NUM
ap-660	197	3	)	)	PUNCT
ap-660	197	4	in	in	ADP
ap-660	197	5	eq	eq	ADP
ap-660	197	6	.	.	PUNCT
ap-660	198	1	(	(	PUNCT
ap-660	198	2	16	16	NUM
ap-660	198	3	)	)	PUNCT
ap-660	198	4	,	,	PUNCT
ap-660	198	5	the	the	DET
ap-660	198	6	deformation	deformation	NOUN
ap-660	198	7	stress	stress	NOUN
ap-660	198	8	equation	equation	NOUN
ap-660	198	9	in	in	ADP
ap-660	198	10	general	general	ADJ
ap-660	198	11	direction	direction	NOUN
ap-660	198	12	of	of	ADP
ap-660	198	13	a	a	DET
ap-660	198	14	triaxially	triaxially	ADV
ap-660	198	15	loaded	load	VERB
ap-660	198	16	body	body	NOUN
ap-660	198	17	will	will	AUX
ap-660	198	18	acquire	acquire	VERB
ap-660	198	19	the	the	DET
ap-660	198	20	form	form	NOUN
ap-660	198	21	�	�	PROPN
ap-660	198	22	�	�	PROPN
ap-660	198	23	�	�	PROPN
ap-660	198	24	�	�	PROPN
ap-660	198	25	�	�	PROPN
ap-660	198	26	�	�	PROPN
ap-660	198	27	�	�	PROPN
ap-660	198	28	�	�	PROPN
ap-660	198	29	�	�	PROPN
ap-660	198	30	�	�	PROPN
ap-660	198	31	�	�	PROPN
ap-660	198	32	�	�	PROPN
ap-660	198	33	�	�	PROPN
ap-660	198	34	�	�	PROPN
ap-660	198	35	�	�	PROPN
ap-660	198	36	�	�	PROPN
ap-660	198	37	c	c	PROPN
ap-660	198	38	e	e	PROPN
ap-660	198	39	�	�	PROPN
ap-660	198	40	�	�	PROPN
ap-660	198	41	�	�	PROPN
ap-660	198	42	1	1	NUM
ap-660	198	43	2	2	NUM
ap-660	198	44	2	2	NUM
ap-660	198	45	2	2	NUM
ap-660	198	46	2	2	NUM
ap-660	198	47	3	3	NUM
ap-660	198	48	1	1	NUM
ap-660	198	49	1	1	NUM
ap-660	198	50	1	1	NUM
ap-660	198	51	[	[	X
ap-660	198	52	(	(	PUNCT
ap-660	198	53	)	)	PUNCT
ap-660	198	54	cos	cos	X
ap-660	198	55	]	]	X
ap-660	199	1	[	[	X
ap-660	199	2	(	(	PUNCT
ap-660	199	3	)	)	PUNCT
ap-660	199	4	sin	sin	NOUN
ap-660	199	5	cos	cos	ADP
ap-660	199	6	]	]	X
ap-660	200	1	[	[	X
ap-660	200	2	(	(	PUNCT
ap-660	200	3	�	�	PROPN
ap-660	200	4	�	�	PROPN
ap-660	200	5	�	�	PROPN
ap-660	200	6	�	�	PROPN
ap-660	200	7	�	�	PROPN
ap-660	200	8	�	�	PROPN
ap-660	200	9	)	)	PUNCT
ap-660	200	10	sin	sin	NOUN
ap-660	200	11	sin	sin	NOUN
ap-660	200	12	]	]	PUNCT
ap-660	200	13	.2	.2	NUM
ap-660	200	14	2	2	NUM
ap-660	200	15	(	(	PUNCT
ap-660	200	16	18	18	NUM
ap-660	200	17	)	)	PUNCT
ap-660	200	18	the	the	DET
ap-660	200	19	equation	equation	NOUN
ap-660	200	20	expresses	express	VERB
ap-660	200	21	the	the	DET
ap-660	200	22	deformation	deformation	NOUN
ap-660	200	23	force	force	NOUN
ap-660	200	24	effect	effect	NOUN
ap-660	200	25	on	on	ADP
ap-660	200	26	the	the	DET
ap-660	200	27	spherical	spherical	ADJ
ap-660	200	28	element	element	NOUN
ap-660	200	29	of	of	ADP
ap-660	200	30	a	a	DET
ap-660	200	31	triaxially	triaxially	ADV
ap-660	200	32	loaded	load	VERB
ap-660	200	33	body	body	NOUN
ap-660	200	34	,	,	PUNCT
ap-660	200	35	for	for	ADP
ap-660	200	36	which	which	PRON
ap-660	200	37	we	we	PRON
ap-660	200	38	shall	shall	AUX
ap-660	200	39	introduce	introduce	VERB
ap-660	200	40	the	the	DET
ap-660	200	41	term	term	NOUN
ap-660	200	42	deformation	deformation	NOUN
ap-660	200	43	stress	stress	NOUN
ap-660	200	44	state	state	NOUN
ap-660	200	45	(	(	PUNCT
ap-660	200	46	dss	dss	NOUN
ap-660	200	47	)	)	PUNCT
ap-660	200	48	.	.	PUNCT
ap-660	201	1	by	by	ADP
ap-660	201	2	putting	put	VERB
ap-660	201	3	�	�	PROPN
ap-660	201	4	�	�	PROPN
ap-660	201	5	�	�	PROPN
ap-660	201	6	0	0	NUM
ap-660	201	7	and	and	CCONJ
ap-660	201	8	�	�	PROPN
ap-660	201	9	�	�	PROPN
ap-660	201	10	�	�	PROPN
ap-660	201	11	0	0	NUM
ap-660	201	12	2	2	NUM
ap-660	201	13	,	,	PUNCT
ap-660	201	14	or	or	CCONJ
ap-660	201	15	,	,	PUNCT
ap-660	201	16	we	we	PRON
ap-660	201	17	obtain	obtain	VERB
ap-660	201	18	from	from	ADP
ap-660	201	19	this	this	DET
ap-660	201	20	equation	equation	NOUN
ap-660	201	21	the	the	DET
ap-660	201	22	formulas	formula	NOUN
ap-660	201	23	for	for	ADP
ap-660	201	24	computation	computation	NOUN
ap-660	201	25	of	of	ADP
ap-660	201	26	the	the	DET
ap-660	201	27	angles	angle	NOUN
ap-660	201	28	of	of	ADP
ap-660	201	29	zero	zero	NUM
ap-660	201	30	deformation	deformation	NOUN
ap-660	201	31	stresses	stress	NOUN
ap-660	201	32	in	in	ADP
ap-660	201	33	the	the	DET
ap-660	201	34	planes	plane	NOUN
ap-660	201	35	x1x2	x1x2	PUNCT
ap-660	201	36	and	and	CCONJ
ap-660	201	37	x1x3	x1x3	X
ap-660	201	38	for	for	ADP
ap-660	201	39	a	a	DET
ap-660	201	40	triaxially	triaxially	ADV
ap-660	201	41	loaded	load	VERB
ap-660	201	42	body	body	NOUN
ap-660	201	43	cos	cos	PROPN
ap-660	201	44	(	(	PUNCT
ap-660	201	45	)	)	PUNCT
ap-660	201	46	(	(	PUNCT
ap-660	201	47	)	)	PUNCT
ap-660	201	48	(	(	PUNCT
ap-660	201	49	)	)	PUNCT
ap-660	201	50	(	(	PUNCT
ap-660	201	51	)	)	PUNCT
ap-660	201	52	2	2	NUM
ap-660	201	53	0	0	NUM
ap-660	201	54	12	12	NUM
ap-660	201	55	1	1	NUM
ap-660	201	56	3	3	NUM
ap-660	201	57	2	2	NUM
ap-660	201	58	1	1	NUM
ap-660	201	59	21	21	NUM
ap-660	201	60	�	�	PROPN
ap-660	201	61	�	�	PROPN
ap-660	201	62	�	�	PROPN
ap-660	201	63	�	�	PROPN
ap-660	201	64	�	�	PROPN
ap-660	201	65	�	�	PROPN
ap-660	201	66	�	�	PROPN
ap-660	201	67	�	�	PROPN
ap-660	201	68	�	�	PROPN
ap-660	201	69	�	�	PROPN
ap-660	201	70	�	�	PROPN
ap-660	201	71	�	�	PROPN
ap-660	201	72	�	�	PROPN
ap-660	201	73	,	,	PUNCT
ap-660	201	74	(	(	PUNCT
ap-660	201	75	19a	19a	NUM
ap-660	201	76	)	)	PUNCT
ap-660	201	77	8	8	NUM
ap-660	201	78	©	©	PROPN
ap-660	201	79	czech	czech	PROPN
ap-660	201	80	technical	technical	PROPN
ap-660	201	81	university	university	PROPN
ap-660	201	82	publishing	publishing	NOUN
ap-660	201	83	house	house	NOUN
ap-660	201	84	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-660	201	85	acta	acta	PROPN
ap-660	201	86	polytechnica	polytechnica	PROPN
ap-660	201	87	vol	vol	NOUN
ap-660	201	88	.	.	PROPN
ap-660	202	1	45	45	NUM
ap-660	202	2	no	no	NOUN
ap-660	202	3	.	.	PUNCT
ap-660	203	1	1/2005	1/2005	NUM
ap-660	203	2	czech	czech	PROPN
ap-660	203	3	technical	technical	PROPN
ap-660	203	4	university	university	PROPN
ap-660	203	5	in	in	ADP
ap-660	203	6	prague	prague	PROPN
ap-660	203	7	fig	fig	NOUN
ap-660	203	8	.	.	PUNCT
ap-660	204	1	10	10	NUM
ap-660	204	2	:	:	PUNCT
ap-660	204	3	strain	strain	NOUN
ap-660	204	4	and	and	CCONJ
ap-660	204	5	deformation	deformation	NOUN
ap-660	204	6	stress	stress	NOUN
ap-660	204	7	state	state	NOUN
ap-660	204	8	in	in	ADP
ap-660	204	9	a	a	DET
ap-660	204	10	uniaxially	uniaxially	ADV
ap-660	204	11	loaded	load	VERB
ap-660	204	12	body	body	NOUN
ap-660	204	13	cos	cos	PROPN
ap-660	204	14	(	(	PUNCT
ap-660	204	15	)	)	PUNCT
ap-660	204	16	(	(	PUNCT
ap-660	204	17	)	)	PUNCT
ap-660	204	18	(	(	PUNCT
ap-660	204	19	)	)	PUNCT
ap-660	204	20	(	(	PUNCT
ap-660	204	21	)	)	PUNCT
ap-660	204	22	2	2	NUM
ap-660	204	23	0	0	NUM
ap-660	204	24	13	13	NUM
ap-660	204	25	1	1	NUM
ap-660	204	26	2	2	NUM
ap-660	204	27	3	3	NUM
ap-660	204	28	1	1	NUM
ap-660	204	29	31	31	NUM
ap-660	204	30	�	�	PROPN
ap-660	204	31	�	�	PROPN
ap-660	204	32	�	�	PROPN
ap-660	204	33	�	�	PROPN
ap-660	204	34	�	�	PROPN
ap-660	204	35	�	�	PROPN
ap-660	204	36	�	�	PROPN
ap-660	204	37	�	�	PROPN
ap-660	204	38	�	�	PROPN
ap-660	204	39	�	�	PROPN
ap-660	204	40	�	�	PROPN
ap-660	204	41	�	�	PROPN
ap-660	204	42	�	�	PROPN
ap-660	204	43	.	.	PUNCT
ap-660	205	1	(	(	PUNCT
ap-660	205	2	19b	19b	NOUN
ap-660	205	3	)	)	PUNCT
ap-660	205	4	in	in	ADP
ap-660	205	5	a	a	DET
ap-660	205	6	uniaxially	uniaxially	ADV
ap-660	205	7	loaded	load	VERB
ap-660	205	8	body	body	NOUN
ap-660	205	9	,	,	PUNCT
ap-660	205	10	the	the	DET
ap-660	205	11	directional	directional	ADJ
ap-660	205	12	cosine	cosine	NOUN
ap-660	205	13	of	of	ADP
ap-660	205	14	zero	zero	NUM
ap-660	205	15	elongation	elongation	NOUN
ap-660	205	16	is	be	AUX
ap-660	205	17	obtained	obtain	VERB
ap-660	205	18	from	from	ADP
ap-660	205	19	eq	eq	PROPN
ap-660	205	20	.	.	PUNCT
ap-660	206	1	(	(	PUNCT
ap-660	206	2	5	5	NUM
ap-660	206	3	)	)	PUNCT
ap-660	206	4	,	,	PUNCT
ap-660	206	5	where	where	SCONJ
ap-660	206	6	we	we	PRON
ap-660	206	7	shall	shall	AUX
ap-660	206	8	substitute	substitute	PROPN
ap-660	206	9	�	�	PROPN
ap-660	206	10	�	�	PROPN
ap-660	206	11	�	�	PROPN
ap-660	206	12	0	0	NUM
ap-660	206	13	cos	cos	PROPN
ap-660	206	14	�	�	PROPN
ap-660	206	15	�	�	PROPN
ap-660	206	16	�	�	PROPN
ap-660	206	17	0	0	NUM
ap-660	206	18	1	1	NUM
ap-660	206	19	2	2	NUM
ap-660	206	20	1	1	NUM
ap-660	206	21	�	�	PROPN
ap-660	206	22	�	�	PROPN
ap-660	206	23	�	�	PROPN
ap-660	206	24	�	�	PROPN
ap-660	206	25	�	�	PROPN
ap-660	206	26	�	�	PROPN
ap-660	206	27	�	�	PROPN
ap-660	206	28	.	.	PUNCT
ap-660	207	1	(	(	PUNCT
ap-660	207	2	20	20	NUM
ap-660	207	3	)	)	PUNCT
ap-660	207	4	a	a	DET
ap-660	207	5	more	more	ADV
ap-660	207	6	adequate	adequate	ADJ
ap-660	207	7	graphic	graphic	ADJ
ap-660	207	8	representation	representation	NOUN
ap-660	207	9	of	of	ADP
ap-660	207	10	the	the	DET
ap-660	207	11	deformation	deformation	NOUN
ap-660	207	12	state	state	NOUN
ap-660	207	13	and	and	CCONJ
ap-660	207	14	the	the	DET
ap-660	207	15	deformation	deformation	NOUN
ap-660	207	16	stress	stress	NOUN
ap-660	207	17	state	state	NOUN
ap-660	207	18	than	than	ADP
ap-660	207	19	that	that	PRON
ap-660	207	20	given	give	VERB
ap-660	207	21	by	by	ADP
ap-660	207	22	figs	fig	NOUN
ap-660	207	23	.	.	PUNCT
ap-660	208	1	10a	10a	NOUN
ap-660	208	2	and	and	CCONJ
ap-660	208	3	10b	10b	NOUN
ap-660	208	4	is	be	AUX
ap-660	208	5	provided	provide	VERB
ap-660	208	6	by	by	ADP
ap-660	208	7	the	the	DET
ap-660	208	8	deformation	deformation	NOUN
ap-660	208	9	and	and	CCONJ
ap-660	208	10	the	the	DET
ap-660	208	11	deformation	deformation	NOUN
ap-660	208	12	stress	stress	NOUN
ap-660	208	13	state	state	NOUN
ap-660	208	14	curves	curve	NOUN
ap-660	208	15	(	(	PUNCT
ap-660	208	16	fig	fig	NOUN
ap-660	208	17	.	.	PUNCT
ap-660	209	1	10d	10d	NOUN
ap-660	209	2	and	and	CCONJ
ap-660	209	3	10e	10e	NOUN
ap-660	209	4	)	)	PUNCT
ap-660	209	5	,	,	PUNCT
ap-660	209	6	which	which	PRON
ap-660	209	7	are	be	AUX
ap-660	209	8	a	a	DET
ap-660	209	9	graphic	graphic	ADJ
ap-660	209	10	representation	representation	NOUN
ap-660	209	11	of	of	ADP
ap-660	209	12	eqs	eqs	PROPN
ap-660	209	13	.	.	PUNCT
ap-660	210	1	(	(	PUNCT
ap-660	210	2	5	5	NUM
ap-660	210	3	)	)	PUNCT
ap-660	210	4	and	and	CCONJ
ap-660	210	5	(	(	PUNCT
ap-660	210	6	17	17	NUM
ap-660	210	7	)	)	PUNCT
ap-660	210	8	.	.	PUNCT
ap-660	211	1	the	the	DET
ap-660	211	2	curves	curve	NOUN
ap-660	211	3	are	be	AUX
ap-660	211	4	geometrically	geometrically	ADV
ap-660	211	5	similar	similar	ADJ
ap-660	211	6	.	.	PUNCT
ap-660	212	1	the	the	DET
ap-660	212	2	definition	definition	NOUN
ap-660	212	3	of	of	ADP
ap-660	212	4	the	the	DET
ap-660	212	5	continuous	continuous	ADJ
ap-660	212	6	deformation	deformation	NOUN
ap-660	212	7	force	force	NOUN
ap-660	212	8	effect	effect	NOUN
ap-660	212	9	enables	enable	VERB
ap-660	212	10	a	a	DET
ap-660	212	11	refinement	refinement	NOUN
ap-660	212	12	of	of	ADP
ap-660	212	13	the	the	DET
ap-660	212	14	relation	relation	NOUN
ap-660	212	15	(	(	PUNCT
ap-660	212	16	14	14	NUM
ap-660	212	17	)	)	PUNCT
ap-660	212	18	between	between	ADP
ap-660	212	19	the	the	DET
ap-660	212	20	internal	internal	ADJ
ap-660	212	21	force	force	NOUN
ap-660	212	22	and	and	CCONJ
ap-660	212	23	the	the	DET
ap-660	212	24	interatomic	interatomic	ADJ
ap-660	212	25	forces	force	NOUN
ap-660	212	26	,	,	PUNCT
ap-660	212	27	based	base	VERB
ap-660	212	28	on	on	ADP
ap-660	212	29	the	the	DET
ap-660	212	30	assumption	assumption	NOUN
ap-660	212	31	of	of	ADP
ap-660	212	32	their	their	PRON
ap-660	212	33	linear	linear	ADJ
ap-660	212	34	effect	effect	NOUN
ap-660	212	35	.	.	PUNCT
ap-660	213	1	instead	instead	ADV
ap-660	213	2	of	of	ADP
ap-660	213	3	summing	sum	VERB
ap-660	213	4	up	up	ADP
ap-660	213	5	the	the	DET
ap-660	213	6	normal	normal	ADJ
ap-660	213	7	components	component	NOUN
ap-660	213	8	of	of	ADP
ap-660	213	9	the	the	DET
ap-660	213	10	individual	individual	ADJ
ap-660	213	11	reduced	reduce	VERB
ap-660	213	12	interatomic	interatomic	ADJ
ap-660	213	13	forces	force	NOUN
ap-660	213	14	acting	act	VERB
ap-660	213	15	on	on	ADP
ap-660	213	16	the	the	DET
ap-660	213	17	surface	surface	NOUN
ap-660	213	18	perpendicular	perpendicular	NOUN
ap-660	213	19	to	to	ADP
ap-660	213	20	the	the	DET
ap-660	213	21	first	first	ADJ
ap-660	213	22	principal	principal	ADJ
ap-660	213	23	axis	axis	NOUN
ap-660	213	24	,	,	PUNCT
ap-660	213	25	we	we	PRON
ap-660	213	26	shall	shall	AUX
ap-660	213	27	integrate	integrate	VERB
ap-660	213	28	the	the	DET
ap-660	213	29	normal	normal	ADJ
ap-660	213	30	components	component	NOUN
ap-660	213	31	dn	dn	ADP
ap-660	213	32	�	�	PROPN
ap-660	213	33	of	of	ADP
ap-660	213	34	the	the	DET
ap-660	213	35	reduced	reduce	VERB
ap-660	213	36	elementary	elementary	ADJ
ap-660	213	37	deformation	deformation	NOUN
ap-660	213	38	forces	force	NOUN
ap-660	213	39	df	df	PROPN
ap-660	213	40	�	�	PROPN
ap-660	213	41	(	(	PUNCT
ap-660	213	42	fig	fig	NOUN
ap-660	213	43	.	.	PUNCT
ap-660	213	44	10c	10c	NOUN
ap-660	213	45	)	)	PUNCT
ap-660	214	1	d	d	NOUN
ap-660	214	2	d	d	NOUN
ap-660	214	3	d	d	AUX
ap-660	214	4	dsfn	dsfn	VERB
ap-660	214	5	f	f	PROPN
ap-660	214	6	a	a	DET
ap-660	214	7	�	�	PROPN
ap-660	214	8	�	�	PROPN
ap-660	214	9	�	�	PROPN
ap-660	214	10	�	�	PROPN
ap-660	214	11	�	�	PROPN
ap-660	214	12	�	�	PROPN
ap-660	214	13	�	�	PROPN
ap-660	214	14	�	�	PROPN
ap-660	214	15	�	�	PROPN
ap-660	214	16	�	�	PROPN
ap-660	214	17	cos	cos	PROPN
ap-660	214	18	cos	cos	PROPN
ap-660	214	19	cos	cos	PROPN
ap-660	214	20	.	.	PROPN
ap-660	214	21	2	2	NUM
ap-660	214	22	2	2	NUM
ap-660	214	23	(	(	PUNCT
ap-660	214	24	21	21	NUM
ap-660	214	25	)	)	PUNCT
ap-660	214	26	the	the	DET
ap-660	214	27	normal	normal	ADJ
ap-660	214	28	force	force	NOUN
ap-660	214	29	n1	n1	PROPN
ap-660	214	30	identical	identical	ADJ
ap-660	214	31	with	with	ADP
ap-660	214	32	the	the	DET
ap-660	214	33	resulting	result	VERB
ap-660	214	34	internal	internal	ADJ
ap-660	214	35	force	force	NOUN
ap-660	214	36	f1	f1	NOUN
ap-660	214	37	,	,	PUNCT
ap-660	214	38	affecting	affect	VERB
ap-660	214	39	surface	surface	NOUN
ap-660	214	40	a1	a1	NOUN
ap-660	214	41	in	in	ADP
ap-660	214	42	this	this	DET
ap-660	214	43	particular	particular	ADJ
ap-660	214	44	case	case	NOUN
ap-660	214	45	,	,	PUNCT
ap-660	214	46	is	be	AUX
ap-660	214	47	f	f	PROPN
ap-660	214	48	a1	a1	PROPN
ap-660	214	49	2	2	NUM
ap-660	214	50	2	2	NUM
ap-660	214	51	2	2	NUM
ap-660	214	52	2	2	NUM
ap-660	214	53	�	�	PROPN
ap-660	214	54	�	�	PROPN
ap-660	214	55	�	�	PROPN
ap-660	214	56	�	�	PROPN
ap-660	214	57	�	�	PROPN
ap-660	214	58	�	�	PROPN
ap-660	214	59	�	�	PROPN
ap-660	214	60	�	�	PROPN
ap-660	214	61	�	�	PROPN
ap-660	214	62	�	�	PROPN
ap-660	214	63	cos	cos	PROPN
ap-660	214	64	cosd	cosd	PROPN
ap-660	214	65	dsf	dsf	PROPN
ap-660	214	66	.	.	PUNCT
ap-660	215	1	(	(	PUNCT
ap-660	215	2	22	22	NUM
ap-660	215	3	)	)	PUNCT
ap-660	215	4	in	in	ADP
ap-660	215	5	the	the	DET
ap-660	215	6	spherical	spherical	ADJ
ap-660	215	7	element	element	NOUN
ap-660	215	8	of	of	ADP
ap-660	215	9	unit	unit	NOUN
ap-660	215	10	radius	radius	NOUN
ap-660	215	11	a1	a1	PROPN
ap-660	215	12	�	�	PROPN
ap-660	215	13	�	�	PROPN
ap-660	215	14	,	,	PUNCT
ap-660	215	15	so	so	SCONJ
ap-660	215	16	that	that	SCONJ
ap-660	215	17	the	the	DET
ap-660	215	18	first	first	ADJ
ap-660	215	19	principal	principal	ADJ
ap-660	215	20	stress	stress	NOUN
ap-660	215	21	is	be	AUX
ap-660	215	22	�	�	NOUN
ap-660	215	23	1	1	NUM
ap-660	215	24	2	2	NUM
ap-660	215	25	2	2	NUM
ap-660	215	26	1	1	NUM
ap-660	215	27	�	�	PROPN
ap-660	215	28	�	�	PROPN
ap-660	215	29	�	�	PROPN
ap-660	215	30	�	�	PROPN
ap-660	215	31	�	�	PROPN
ap-660	215	32	�	�	PROPN
ap-660	215	33	cos	cos	PROPN
ap-660	215	34	d	d	PROPN
ap-660	215	35	.	.	PUNCT
ap-660	216	1	(	(	PUNCT
ap-660	216	2	23	23	NUM
ap-660	216	3	)	)	PUNCT
ap-660	216	4	if	if	SCONJ
ap-660	216	5	we	we	PRON
ap-660	216	6	substitute	substitute	VERB
ap-660	216	7	in	in	ADP
ap-660	216	8	eq	eq	ADP
ap-660	216	9	.	.	PUNCT
ap-660	217	1	(	(	PUNCT
ap-660	217	2	23	23	NUM
ap-660	217	3	)	)	PUNCT
ap-660	217	4	�	�	PROPN
ap-660	217	5	from	from	ADP
ap-660	217	6	eq	eq	PROPN
ap-660	217	7	.	.	PUNCT
ap-660	218	1	(	(	PUNCT
ap-660	218	2	17	17	NUM
ap-660	218	3	)	)	PUNCT
ap-660	218	4	for	for	ADP
ap-660	218	5	the	the	DET
ap-660	218	6	uniaxial	uniaxial	ADJ
ap-660	218	7	deformation	deformation	NOUN
ap-660	218	8	stress	stress	NOUN
ap-660	218	9	state	state	NOUN
ap-660	218	10	and	and	CCONJ
ap-660	218	11	put	put	VERB
ap-660	218	12	�	�	PROPN
ap-660	218	13	�	�	PROPN
ap-660	218	14	025	025	NUM
ap-660	218	15	.	.	PUNCT
ap-660	219	1	which	which	PRON
ap-660	219	2	is	be	AUX
ap-660	219	3	in	in	ADP
ap-660	219	4	the	the	DET
ap-660	219	5	theory	theory	NOUN
ap-660	219	6	of	of	ADP
ap-660	219	7	dss	dss	NOUN
ap-660	219	8	,	,	PUNCT
ap-660	219	9	according	accord	VERB
ap-660	219	10	to	to	ADP
ap-660	219	11	[	[	X
ap-660	219	12	7	7	NUM
ap-660	219	13	]	]	PUNCT
ap-660	219	14	is	be	AUX
ap-660	219	15	poisson	poisson	NOUN
ap-660	219	16	’s	’s	PART
ap-660	219	17	coefficient	coefficient	NOUN
ap-660	219	18	of	of	ADP
ap-660	219	19	linearly	linearly	ADV
ap-660	219	20	elastic	elastic	ADJ
ap-660	219	21	materials	material	NOUN
ap-660	219	22	,	,	PUNCT
ap-660	219	23	the	the	DET
ap-660	219	24	solution	solution	NOUN
ap-660	219	25	yields	yield	VERB
ap-660	219	26	the	the	DET
ap-660	219	27	proportionality	proportionality	NOUN
ap-660	219	28	coefficient	coefficient	NOUN
ap-660	219	29	c	c	PROPN
ap-660	219	30	�	�	PROPN
ap-660	219	31	2e	2e	PROPN
ap-660	219	32	,	,	PUNCT
ap-660	219	33	the	the	DET
ap-660	219	34	substitution	substitution	NOUN
ap-660	219	35	of	of	ADP
ap-660	219	36	which	which	PRON
ap-660	219	37	in	in	ADP
ap-660	219	38	eq	eq	NOUN
ap-660	219	39	.	.	PUNCT
ap-660	220	1	(	(	PUNCT
ap-660	220	2	16	16	NUM
ap-660	220	3	)	)	PUNCT
ap-660	220	4	yields	yield	VERB
ap-660	220	5	�	�	PROPN
ap-660	220	6	3e	3e	PROPN
ap-660	220	7	�	�	PROPN
ap-660	220	8	.	.	PUNCT
ap-660	221	1	(	(	PUNCT
ap-660	221	2	24	24	NUM
ap-660	221	3	)	)	PUNCT
ap-660	221	4	this	this	DET
ap-660	221	5	equation	equation	NOUN
ap-660	221	6	holds	hold	VERB
ap-660	221	7	for	for	ADP
ap-660	221	8	any	any	PRON
ap-660	221	9	,	,	PUNCT
ap-660	221	10	i.e.	i.e.	X
ap-660	221	11	also	also	ADV
ap-660	221	12	for	for	ADP
ap-660	221	13	a	a	DET
ap-660	221	14	triaxially	triaxially	ADV
ap-660	221	15	loaded	load	VERB
ap-660	221	16	linearly	linearly	ADV
ap-660	221	17	elastic	elastic	ADJ
ap-660	221	18	body	body	NOUN
ap-660	221	19	.	.	PUNCT
ap-660	222	1	this	this	PRON
ap-660	222	2	is	be	AUX
ap-660	222	3	the	the	DET
ap-660	222	4	fundamental	fundamental	ADJ
ap-660	222	5	relation	relation	NOUN
ap-660	222	6	of	of	ADP
ap-660	222	7	the	the	DET
ap-660	222	8	deformation	deformation	NOUN
ap-660	222	9	stress	stress	NOUN
ap-660	222	10	state	state	NOUN
ap-660	222	11	theory	theory	NOUN
ap-660	222	12	,	,	PUNCT
ap-660	222	13	which	which	PRON
ap-660	222	14	we	we	PRON
ap-660	222	15	call	call	VERB
ap-660	222	16	the	the	DET
ap-660	222	17	principle	principle	NOUN
ap-660	222	18	of	of	ADP
ap-660	222	19	proportionality	proportionality	NOUN
ap-660	222	20	:	:	PUNCT
ap-660	222	21	in	in	ADP
ap-660	222	22	any	any	DET
ap-660	222	23	loaded	load	VERB
ap-660	222	24	linearly	linearly	ADV
ap-660	222	25	elastic	elastic	ADJ
ap-660	222	26	body	body	NOUN
ap-660	222	27	the	the	DET
ap-660	222	28	deformation	deformation	NOUN
ap-660	222	29	stress	stress	NOUN
ap-660	222	30	is	be	AUX
ap-660	222	31	proportionate	proportionate	ADJ
ap-660	222	32	to	to	ADP
ap-660	222	33	the	the	DET
ap-660	222	34	relative	relative	ADJ
ap-660	222	35	longitudinal	longitudinal	ADJ
ap-660	222	36	change	change	NOUN
ap-660	222	37	.	.	PUNCT
ap-660	223	1	let	let	VERB
ap-660	223	2	us	we	PRON
ap-660	223	3	return	return	VERB
ap-660	223	4	to	to	ADP
ap-660	223	5	the	the	DET
ap-660	223	6	deformation	deformation	NOUN
ap-660	223	7	force	force	NOUN
ap-660	223	8	effect	effect	NOUN
ap-660	223	9	on	on	ADP
ap-660	223	10	the	the	DET
ap-660	223	11	spherical	spherical	ADJ
ap-660	223	12	element	element	NOUN
ap-660	223	13	in	in	ADP
ap-660	223	14	a	a	DET
ap-660	223	15	uniaxially	uniaxially	ADV
ap-660	223	16	loaded	load	VERB
ap-660	223	17	body	body	NOUN
ap-660	223	18	(	(	PUNCT
ap-660	223	19	fig	fig	NOUN
ap-660	223	20	.	.	PUNCT
ap-660	224	1	10	10	NUM
ap-660	224	2	)	)	PUNCT
ap-660	224	3	.	.	PUNCT
ap-660	225	1	in	in	ADP
ap-660	225	2	the	the	DET
ap-660	225	3	space	space	NOUN
ap-660	225	4	defined	define	VERB
ap-660	225	5	by	by	ADP
ap-660	225	6	conical	conical	ADJ
ap-660	225	7	surfaces	surface	NOUN
ap-660	225	8	of	of	ADP
ap-660	225	9	zero	zero	NUM
ap-660	225	10	longitudinal	longitudinal	ADJ
ap-660	225	11	deformation	deformation	NOUN
ap-660	225	12	(	(	PUNCT
ap-660	225	13	eq	eq	NOUN
ap-660	225	14	.	.	PROPN
ap-660	225	15	20	20	NUM
ap-660	225	16	)	)	PUNCT
ap-660	225	17	,	,	PUNCT
ap-660	225	18	the	the	DET
ap-660	225	19	axis	axis	NOUN
ap-660	225	20	of	of	ADP
ap-660	225	21	which	which	PRON
ap-660	225	22	coincides	coincide	VERB
ap-660	225	23	with	with	ADP
ap-660	225	24	the	the	DET
ap-660	225	25	first	first	ADJ
ap-660	225	26	principal	principal	ADJ
ap-660	225	27	axis	axis	NOUN
ap-660	225	28	,	,	PUNCT
ap-660	225	29	only	only	ADV
ap-660	225	30	positive	positive	ADJ
ap-660	225	31	longitudinal	longitudinal	ADJ
ap-660	225	32	changes	change	NOUN
ap-660	225	33	take	take	VERB
ap-660	225	34	place	place	NOUN
ap-660	225	35	.	.	PUNCT
ap-660	226	1	this	this	PRON
ap-660	226	2	means	mean	VERB
ap-660	226	3	that	that	SCONJ
ap-660	226	4	within	within	ADP
ap-660	226	5	the	the	DET
ap-660	226	6	volume	volume	NOUN
ap-660	226	7	of	of	ADP
ap-660	226	8	the	the	DET
ap-660	226	9	element	element	NOUN
ap-660	226	10	defined	define	VERB
ap-660	226	11	by	by	ADP
ap-660	226	12	this	this	DET
ap-660	226	13	surface	surface	NOUN
ap-660	226	14	,	,	PUNCT
ap-660	226	15	the	the	DET
ap-660	226	16	element	element	NOUN
ap-660	226	17	is	be	AUX
ap-660	226	18	affected	affect	VERB
ap-660	226	19	only	only	ADV
ap-660	226	20	by	by	ADP
ap-660	226	21	positive	positive	ADJ
ap-660	226	22	deformation	deformation	NOUN
ap-660	226	23	forces	force	NOUN
ap-660	226	24	.	.	PUNCT
ap-660	227	1	the	the	DET
ap-660	227	2	remaining	remain	VERB
ap-660	227	3	part	part	NOUN
ap-660	227	4	of	of	ADP
ap-660	227	5	the	the	DET
ap-660	227	6	element	element	NOUN
ap-660	227	7	volume	volume	NOUN
ap-660	227	8	is	be	AUX
ap-660	227	9	loaded	load	VERB
ap-660	227	10	by	by	ADP
ap-660	227	11	negative	negative	ADJ
ap-660	227	12	deformation	deformation	NOUN
ap-660	227	13	forces	force	NOUN
ap-660	227	14	.	.	PUNCT
ap-660	228	1	the	the	DET
ap-660	228	2	cross	cross	NOUN
ap-660	228	3	section	section	NOUN
ap-660	228	4	through	through	ADP
ap-660	228	5	the	the	DET
ap-660	228	6	spherical	spherical	ADJ
ap-660	228	7	element	element	NOUN
ap-660	228	8	(	(	PUNCT
ap-660	228	9	a1	a1	PROPN
ap-660	228	10	�	�	PROPN
ap-660	228	11	�	�	PROPN
ap-660	228	12	)	)	PUNCT
ap-660	228	13	perpendicular	perpendicular	NOUN
ap-660	228	14	to	to	ADP
ap-660	228	15	the	the	DET
ap-660	228	16	first	first	ADJ
ap-660	228	17	principal	principal	ADJ
ap-660	228	18	axis	axis	NOUN
ap-660	228	19	is	be	AUX
ap-660	228	20	affected	affect	VERB
ap-660	228	21	on	on	ADP
ap-660	228	22	one	one	NUM
ap-660	228	23	side	side	NOUN
ap-660	228	24	by	by	ADP
ap-660	228	25	internal	internal	ADJ
ap-660	228	26	force	force	NOUN
ap-660	228	27	f1	f1	NOUN
ap-660	228	28	,	,	PUNCT
ap-660	228	29	which	which	PRON
ap-660	228	30	must	must	AUX
ap-660	228	31	be	be	AUX
ap-660	228	32	in	in	ADP
ap-660	228	33	equilibrium	equilibrium	NOUN
ap-660	228	34	with	with	ADP
ap-660	228	35	the	the	DET
ap-660	228	36	resultant	resultant	NOUN
ap-660	228	37	of	of	ADP
ap-660	228	38	the	the	DET
ap-660	228	39	deformation	deformation	NOUN
ap-660	228	40	force	force	NOUN
ap-660	228	41	effect	effect	NOUN
ap-660	228	42	on	on	ADP
ap-660	228	43	the	the	DET
ap-660	228	44	adjacent	adjacent	ADJ
ap-660	228	45	half	half	NOUN
ap-660	228	46	of	of	ADP
ap-660	228	47	the	the	DET
ap-660	228	48	element	element	NOUN
ap-660	228	49	volume	volume	NOUN
ap-660	228	50	.	.	PUNCT
ap-660	229	1	let	let	VERB
ap-660	229	2	us	we	PRON
ap-660	229	3	note	note	VERB
ap-660	229	4	that	that	SCONJ
ap-660	229	5	the	the	DET
ap-660	229	6	half	half	NOUN
ap-660	229	7	of	of	ADP
ap-660	229	8	the	the	DET
ap-660	229	9	element	element	NOUN
ap-660	229	10	above	above	ADP
ap-660	229	11	a1	a1	NOUN
ap-660	229	12	is	be	AUX
ap-660	229	13	affected	affect	VERB
ap-660	229	14	by	by	ADP
ap-660	229	15	both	both	CCONJ
ap-660	229	16	positive	positive	ADJ
ap-660	229	17	and	and	CCONJ
ap-660	229	18	negative	negative	ADJ
ap-660	229	19	deformation	deformation	NOUN
ap-660	229	20	forces	force	NOUN
ap-660	229	21	.	.	PUNCT
ap-660	230	1	the	the	DET
ap-660	230	2	internal	internal	ADJ
ap-660	230	3	force	force	NOUN
ap-660	230	4	f1	f1	PROPN
ap-660	230	5	(	(	PUNCT
ap-660	230	6	eq	eq	NOUN
ap-660	230	7	.	.	PROPN
ap-660	230	8	22	22	NUM
ap-660	230	9	)	)	PUNCT
ap-660	230	10	,	,	PUNCT
ap-660	230	11	consequently	consequently	ADV
ap-660	230	12	,	,	PUNCT
ap-660	230	13	cumulates	cumulate	VERB
ap-660	230	14	not	not	PART
ap-660	230	15	only	only	ADV
ap-660	230	16	the	the	DET
ap-660	230	17	positive	positive	ADJ
ap-660	230	18	effect	effect	NOUN
ap-660	230	19	of	of	ADP
ap-660	230	20	the	the	DET
ap-660	230	21	forces	force	NOUN
ap-660	230	22	affecting	affect	VERB
ap-660	230	23	the	the	DET
ap-660	230	24	elongation	elongation	NOUN
ap-660	230	25	of	of	ADP
ap-660	230	26	the	the	DET
ap-660	230	27	element	element	NOUN
ap-660	230	28	,	,	PUNCT
ap-660	230	29	but	but	CCONJ
ap-660	230	30	also	also	ADV
ap-660	230	31	the	the	DET
ap-660	230	32	negative	negative	ADJ
ap-660	230	33	deformation	deformation	NOUN
ap-660	230	34	force	force	NOUN
ap-660	230	35	effect	effect	NOUN
ap-660	230	36	producing	produce	VERB
ap-660	230	37	its	its	PRON
ap-660	230	38	compression	compression	NOUN
ap-660	230	39	.	.	PUNCT
ap-660	231	1	however	however	ADV
ap-660	231	2	,	,	PUNCT
ap-660	231	3	the	the	DET
ap-660	231	4	elongation	elongation	NOUN
ap-660	231	5	of	of	ADP
ap-660	231	6	the	the	DET
ap-660	231	7	element	element	NOUN
ap-660	231	8	and	and	CCONJ
ap-660	231	9	its	its	PRON
ap-660	231	10	rupture	rupture	NOUN
ap-660	231	11	in	in	ADP
ap-660	231	12	the	the	DET
ap-660	231	13	ultimate	ultimate	ADJ
ap-660	231	14	stress	stress	NOUN
ap-660	231	15	state	state	NOUN
ap-660	231	16	is	be	AUX
ap-660	231	17	influenced	influence	VERB
ap-660	231	18	only	only	ADV
ap-660	231	19	by	by	ADP
ap-660	231	20	the	the	DET
ap-660	231	21	positive	positive	ADJ
ap-660	231	22	part	part	NOUN
ap-660	231	23	of	of	ADP
ap-660	231	24	this	this	DET
ap-660	231	25	force	force	NOUN
ap-660	231	26	effect;	effect;	VERB
ap-660	231	27	the	the	DET
ap-660	231	28	negative	negative	ADJ
ap-660	231	29	force	force	NOUN
ap-660	231	30	effect	effect	NOUN
ap-660	231	31	produces	produce	VERB
ap-660	231	32	transverse	transverse	ADJ
ap-660	231	33	compression	compression	NOUN
ap-660	231	34	of	of	ADP
ap-660	231	35	the	the	DET
ap-660	231	36	element	element	NOUN
ap-660	231	37	.	.	PUNCT
ap-660	232	1	the	the	DET
ap-660	232	2	principal	principal	ADJ
ap-660	232	3	hooke	hooke	PROPN
ap-660	232	4	’s	’s	PART
ap-660	232	5	law	law	NOUN
ap-660	232	6	(	(	PUNCT
ap-660	232	7	eq	eq	NOUN
ap-660	232	8	.	.	PROPN
ap-660	232	9	2a	2a	NUM
ap-660	232	10	)	)	PUNCT
ap-660	232	11	,	,	PUNCT
ap-660	232	12	consequently	consequently	ADV
ap-660	232	13	,	,	PUNCT
ap-660	232	14	does	do	AUX
ap-660	232	15	not	not	PART
ap-660	232	16	represent	represent	VERB
ap-660	232	17	the	the	DET
ap-660	232	18	relation	relation	NOUN
ap-660	232	19	between	between	ADP
ap-660	232	20	the	the	DET
ap-660	232	21	positive	positive	ADJ
ap-660	232	22	force	force	NOUN
ap-660	232	23	effect	effect	NOUN
ap-660	232	24	on	on	ADP
ap-660	232	25	a1	a1	NOUN
ap-660	232	26	and	and	CCONJ
ap-660	232	27	the	the	DET
ap-660	232	28	relative	relative	ADJ
ap-660	232	29	elongation	elongation	NOUN
ap-660	232	30	�	�	PROPN
ap-660	232	31	1	1	NUM
ap-660	232	32	,	,	PUNCT
ap-660	232	33	but	but	CCONJ
ap-660	232	34	the	the	DET
ap-660	232	35	relation	relation	NOUN
ap-660	232	36	characterizing	characterize	VERB
ap-660	232	37	the	the	DET
ap-660	232	38	summary	summary	NOUN
ap-660	232	39	effect	effect	NOUN
ap-660	232	40	of	of	ADP
ap-660	232	41	the	the	DET
ap-660	232	42	positive	positive	ADJ
ap-660	232	43	and	and	CCONJ
ap-660	232	44	negative	negative	ADJ
ap-660	232	45	force	force	NOUN
ap-660	232	46	effect	effect	NOUN
ap-660	232	47	on	on	ADP
ap-660	232	48	a1	a1	PROPN
ap-660	232	49	.	.	PUNCT
ap-660	233	1	the	the	DET
ap-660	233	2	deformation	deformation	NOUN
ap-660	233	3	and	and	CCONJ
ap-660	233	4	the	the	DET
ap-660	233	5	deformation	deformation	NOUN
ap-660	233	6	force	force	NOUN
ap-660	233	7	effect	effect	NOUN
ap-660	233	8	on	on	ADP
ap-660	233	9	the	the	DET
ap-660	233	10	spherical	spherical	ADJ
ap-660	233	11	element	element	NOUN
ap-660	233	12	are	be	AUX
ap-660	233	13	independent	independent	ADJ
ap-660	233	14	of	of	ADP
ap-660	233	15	the	the	DET
ap-660	233	16	orientation	orientation	NOUN
ap-660	233	17	of	of	ADP
ap-660	233	18	the	the	DET
ap-660	233	19	cross	cross	PROPN
ap-660	233	20	section	section	PROPN
ap-660	233	21	surface	surface	NOUN
ap-660	233	22	.	.	PUNCT
ap-660	234	1	for	for	ADP
ap-660	234	2	a	a	DET
ap-660	234	3	uniaxially	uniaxially	ADV
ap-660	234	4	loaded	load	VERB
ap-660	234	5	body	body	NOUN
ap-660	234	6	this	this	PRON
ap-660	234	7	is	be	AUX
ap-660	234	8	clearly	clearly	ADV
ap-660	234	9	illustrated	illustrate	VERB
ap-660	234	10	by	by	ADP
ap-660	234	11	fig	fig	NOUN
ap-660	234	12	.	.	PUNCT
ap-660	235	1	11	11	NUM
ap-660	235	2	.	.	PUNCT
ap-660	236	1	the	the	DET
ap-660	236	2	deformation	deformation	NOUN
ap-660	236	3	stress	stress	NOUN
ap-660	236	4	state	state	NOUN
ap-660	236	5	is	be	AUX
ap-660	236	6	not	not	PART
ap-660	236	7	changed	change	VERB
ap-660	236	8	by	by	ADP
ap-660	236	9	any	any	DET
ap-660	236	10	change	change	NOUN
ap-660	236	11	of	of	ADP
ap-660	236	12	location	location	NOUN
ap-660	236	13	of	of	ADP
ap-660	236	14	the	the	DET
ap-660	236	15	cross	cross	PROPN
ap-660	236	16	section	section	PROPN
ap-660	236	17	surface	surface	NOUN
ap-660	236	18	.	.	PUNCT
ap-660	237	1	however	however	ADV
ap-660	237	2	,	,	PUNCT
ap-660	237	3	every	every	DET
ap-660	237	4	change	change	NOUN
ap-660	237	5	in	in	ADP
ap-660	237	6	the	the	DET
ap-660	237	7	position	position	NOUN
ap-660	237	8	of	of	ADP
ap-660	237	9	the	the	DET
ap-660	237	10	surface	surface	NOUN
ap-660	237	11	does	do	AUX
ap-660	237	12	change	change	VERB
ap-660	237	13	the	the	DET
ap-660	237	14	magnitude	magnitude	NOUN
ap-660	237	15	and	and	CCONJ
ap-660	237	16	,	,	PUNCT
ap-660	237	17	usually	usually	ADV
ap-660	237	18	,	,	PUNCT
ap-660	237	19	also	also	ADV
ap-660	237	20	the	the	DET
ap-660	237	21	direction	direction	NOUN
ap-660	237	22	of	of	ADP
ap-660	237	23	the	the	DET
ap-660	237	24	internal	internal	ADJ
ap-660	237	25	force	force	NOUN
ap-660	237	26	.	.	PUNCT
ap-660	238	1	fig	fig	NOUN
ap-660	238	2	.	.	PUNCT
ap-660	239	1	11a	11a	NOUN
ap-660	239	2	shows	show	VERB
ap-660	239	3	the	the	DET
ap-660	239	4	equilibrium	equilibrium	NOUN
ap-660	239	5	of	of	ADP
ap-660	239	6	the	the	DET
ap-660	239	7	internal	internal	ADJ
ap-660	239	8	forces	force	NOUN
ap-660	239	9	with	with	ADP
ap-660	239	10	reference	reference	NOUN
ap-660	239	11	to	to	ADP
ap-660	239	12	the	the	DET
ap-660	239	13	surface	surface	NOUN
ap-660	239	14	perpendicular	perpendicular	NOUN
ap-660	239	15	to	to	ADP
ap-660	239	16	the	the	DET
ap-660	239	17	first	first	ADJ
ap-660	239	18	principal	principal	ADJ
ap-660	239	19	axis	axis	NOUN
ap-660	239	20	(	(	PUNCT
ap-660	239	21	see	see	VERB
ap-660	239	22	also	also	ADV
ap-660	239	23	fig	fig	NOUN
ap-660	239	24	.	.	PUNCT
ap-660	239	25	10b	10b	NOUN
ap-660	239	26	)	)	PUNCT
ap-660	239	27	.	.	PUNCT
ap-660	240	1	if	if	SCONJ
ap-660	240	2	the	the	DET
ap-660	240	3	surface	surface	NOUN
ap-660	240	4	is	be	AUX
ap-660	240	5	not	not	PART
ap-660	240	6	perpendicular	perpendicular	ADJ
ap-660	240	7	to	to	ADP
ap-660	240	8	any	any	PRON
ap-660	240	9	of	of	ADP
ap-660	240	10	the	the	DET
ap-660	240	11	principal	principal	ADJ
ap-660	240	12	axes	axis	NOUN
ap-660	240	13	,	,	PUNCT
ap-660	240	14	the	the	DET
ap-660	240	15	resulting	result	VERB
ap-660	240	16	stress	stress	NOUN
ap-660	240	17	affects	affect	VERB
ap-660	240	18	it	it	PRON
ap-660	240	19	obliquely	obliquely	ADV
ap-660	240	20	(	(	PUNCT
ap-660	240	21	fig	fig	NOUN
ap-660	240	22	.	.	PUNCT
ap-660	240	23	11b	11b	NOUN
ap-660	240	24	)	)	PUNCT
ap-660	240	25	.	.	PUNCT
ap-660	241	1	in	in	ADP
ap-660	241	2	this	this	DET
ap-660	241	3	case	case	NOUN
ap-660	241	4	we	we	PRON
ap-660	241	5	usually	usually	ADV
ap-660	241	6	express	express	VERB
ap-660	241	7	the	the	DET
ap-660	241	8	equilibrium	equilibrium	NOUN
ap-660	241	9	of	of	ADP
ap-660	241	10	the	the	DET
ap-660	241	11	forces	force	NOUN
ap-660	241	12	with	with	ADP
ap-660	241	13	reference	reference	NOUN
ap-660	241	14	to	to	ADP
ap-660	241	15	the	the	DET
ap-660	241	16	cross	cross	NOUN
ap-660	241	17	section	section	PROPN
ap-660	241	18	surface	surface	NOUN
ap-660	241	19	by	by	ADP
ap-660	241	20	means	mean	NOUN
ap-660	241	21	of	of	ADP
ap-660	241	22	the	the	DET
ap-660	241	23	normal	normal	ADJ
ap-660	241	24	and	and	CCONJ
ap-660	241	25	tangential	tangential	ADJ
ap-660	241	26	components	component	NOUN
ap-660	241	27	(	(	PUNCT
ap-660	241	28	n	n	CCONJ
ap-660	241	29	,	,	PUNCT
ap-660	241	30	t	t	PROPN
ap-660	241	31	)	)	PUNCT
ap-660	241	32	of	of	ADP
ap-660	241	33	the	the	DET
ap-660	241	34	resulting	result	VERB
ap-660	241	35	force	force	NOUN
ap-660	241	36	f.	f.	PROPN
ap-660	241	37	if	if	SCONJ
ap-660	241	38	we	we	PRON
ap-660	241	39	select	select	VERB
ap-660	241	40	the	the	DET
ap-660	241	41	cross	cross	PROPN
ap-660	241	42	section	section	PROPN
ap-660	241	43	surface	surface	NOUN
ap-660	241	44	parallel	parallel	NOUN
ap-660	241	45	with	with	ADP
ap-660	241	46	the	the	DET
ap-660	241	47	first	first	ADJ
ap-660	241	48	principal	principal	ADJ
ap-660	241	49	axis	axis	NOUN
ap-660	241	50	,	,	PUNCT
ap-660	241	51	the	the	DET
ap-660	241	52	inter	inter	ADJ
ap-660	241	53	©	©	PROPN
ap-660	241	54	czech	czech	PROPN
ap-660	241	55	technical	technical	PROPN
ap-660	241	56	university	university	PROPN
ap-660	241	57	publishing	publishing	NOUN
ap-660	241	58	house	house	NOUN
ap-660	241	59	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-660	241	60	9	9	NUM
ap-660	241	61	czech	czech	PROPN
ap-660	241	62	technical	technical	PROPN
ap-660	241	63	university	university	PROPN
ap-660	241	64	in	in	ADP
ap-660	241	65	prague	prague	PROPN
ap-660	241	66	acta	acta	PROPN
ap-660	241	67	polytechnica	polytechnica	PROPN
ap-660	241	68	vol	vol	NOUN
ap-660	241	69	.	.	PROPN
ap-660	242	1	45	45	NUM
ap-660	242	2	no	no	NOUN
ap-660	242	3	.	.	PUNCT
ap-660	243	1	1/2005	1/2005	NUM
ap-660	243	2	fig	fig	NOUN
ap-660	243	3	.	.	PUNCT
ap-660	244	1	11	11	NUM
ap-660	244	2	:	:	PUNCT
ap-660	244	3	the	the	DET
ap-660	244	4	internal	internal	ADJ
ap-660	244	5	force	force	NOUN
ap-660	244	6	changes	change	VERB
ap-660	244	7	with	with	ADP
ap-660	244	8	a	a	DET
ap-660	244	9	change	change	NOUN
ap-660	244	10	in	in	ADP
ap-660	244	11	the	the	DET
ap-660	244	12	position	position	NOUN
ap-660	244	13	of	of	ADP
ap-660	244	14	the	the	DET
ap-660	244	15	cross	cross	PROPN
ap-660	244	16	section	section	PROPN
ap-660	244	17	surface	surface	NOUN
ap-660	244	18	,	,	PUNCT
ap-660	244	19	while	while	SCONJ
ap-660	244	20	the	the	DET
ap-660	244	21	deformation	deformation	NOUN
ap-660	244	22	stress	stress	NOUN
ap-660	244	23	does	do	AUX
ap-660	244	24	not	not	PART
ap-660	244	25	change	change	VERB
ap-660	244	26	nal	nal	ADJ
ap-660	244	27	force	force	NOUN
ap-660	244	28	f2	f2	PROPN
ap-660	244	29	referred	refer	VERB
ap-660	244	30	to	to	ADP
ap-660	244	31	it	it	PRON
ap-660	244	32	,	,	PUNCT
ap-660	244	33	is	be	AUX
ap-660	244	34	equal	equal	ADJ
ap-660	244	35	to	to	ADP
ap-660	244	36	zero	zero	NUM
ap-660	244	37	(	(	PUNCT
ap-660	244	38	fig	fig	NOUN
ap-660	244	39	.	.	PUNCT
ap-660	244	40	11c	11c	NOUN
ap-660	244	41	)	)	PUNCT
ap-660	244	42	.	.	PUNCT
ap-660	245	1	this	this	PRON
ap-660	245	2	means	mean	VERB
ap-660	245	3	that	that	SCONJ
ap-660	245	4	the	the	DET
ap-660	245	5	positive	positive	ADJ
ap-660	245	6	part	part	NOUN
ap-660	245	7	of	of	ADP
ap-660	245	8	the	the	DET
ap-660	245	9	internal	internal	ADJ
ap-660	245	10	force	force	NOUN
ap-660	245	11	f2(+	f2(+	NOUN
ap-660	245	12	)	)	PUNCT
ap-660	245	13	generated	generate	VERB
ap-660	245	14	by	by	ADP
ap-660	245	15	the	the	DET
ap-660	245	16	positive	positive	ADJ
ap-660	245	17	deformation	deformation	NOUN
ap-660	245	18	force	force	NOUN
ap-660	245	19	effect	effect	NOUN
ap-660	245	20	on	on	ADP
ap-660	245	21	the	the	DET
ap-660	245	22	half	half	NOUN
ap-660	245	23	of	of	ADP
ap-660	245	24	the	the	DET
ap-660	245	25	element	element	NOUN
ap-660	245	26	above	above	ADP
ap-660	245	27	the	the	DET
ap-660	245	28	cross	cross	NOUN
ap-660	245	29	section	section	PROPN
ap-660	245	30	surface	surface	NOUN
ap-660	245	31	is	be	AUX
ap-660	245	32	in	in	ADP
ap-660	245	33	equilibrium	equilibrium	NOUN
ap-660	245	34	with	with	ADP
ap-660	245	35	the	the	DET
ap-660	245	36	negative	negative	ADJ
ap-660	245	37	part	part	NOUN
ap-660	245	38	of	of	ADP
ap-660	245	39	the	the	DET
ap-660	245	40	internal	internal	ADJ
ap-660	245	41	force	force	NOUN
ap-660	245	42	f2	f2	PROPN
ap-660	245	43	(	(	PUNCT
ap-660	245	44	�	�	PROPN
ap-660	245	45	)	)	PUNCT
ap-660	245	46	generated	generate	VERB
ap-660	245	47	by	by	ADP
ap-660	245	48	the	the	DET
ap-660	245	49	negative	negative	ADJ
ap-660	245	50	deformation	deformation	NOUN
ap-660	245	51	force	force	NOUN
ap-660	245	52	effect	effect	NOUN
ap-660	245	53	f	f	X
ap-660	245	54	f2	f2	ADJ
ap-660	245	55	2	2	NUM
ap-660	245	56	0	0	NUM
ap-660	245	57	(	(	PUNCT
ap-660	245	58	)	)	PUNCT
ap-660	245	59	(	(	PUNCT
ap-660	245	60	)	)	PUNCT
ap-660	245	61	�	�	PROPN
ap-660	245	62	�	�	PROPN
ap-660	245	63	�	�	PROPN
ap-660	245	64	�	�	PROPN
ap-660	245	65	.	.	PUNCT
ap-660	246	1	(	(	PUNCT
ap-660	246	2	25	25	NUM
ap-660	246	3	)	)	PUNCT
ap-660	246	4	although	although	SCONJ
ap-660	246	5	the	the	DET
ap-660	246	6	relative	relative	ADJ
ap-660	246	7	longitudinal	longitudinal	ADJ
ap-660	246	8	change	change	NOUN
ap-660	246	9	in	in	ADP
ap-660	246	10	the	the	DET
ap-660	246	11	direction	direction	NOUN
ap-660	246	12	of	of	ADP
ap-660	246	13	x2	x2	PROPN
ap-660	246	14	has	have	VERB
ap-660	246	15	a	a	DET
ap-660	246	16	value	value	NOUN
ap-660	246	17	different	different	ADJ
ap-660	246	18	from	from	ADP
ap-660	246	19	zero	zero	NUM
ap-660	246	20	(	(	PUNCT
ap-660	246	21	�	�	PROPN
ap-660	246	22	�	�	PROPN
ap-660	246	23	�	�	PROPN
ap-660	246	24	2	2	NUM
ap-660	246	25	1	1	NUM
ap-660	246	26	�	�	PROPN
ap-660	246	27	�	�	PROPN
ap-660	246	28	)	)	PUNCT
ap-660	246	29	,	,	PUNCT
ap-660	246	30	the	the	DET
ap-660	246	31	stress	stress	NOUN
ap-660	246	32	in	in	ADP
ap-660	246	33	the	the	DET
ap-660	246	34	same	same	ADJ
ap-660	246	35	direction	direction	NOUN
ap-660	246	36	is	be	AUX
ap-660	246	37	equal	equal	ADJ
ap-660	246	38	to	to	ADP
ap-660	246	39	zero	zero	NUM
ap-660	246	40	.	.	PUNCT
ap-660	247	1	by	by	ADP
ap-660	247	2	analogy	analogy	NOUN
ap-660	247	3	it	it	PRON
ap-660	247	4	is	be	AUX
ap-660	247	5	possible	possible	ADJ
ap-660	247	6	to	to	PART
ap-660	247	7	explain	explain	VERB
ap-660	247	8	also	also	ADV
ap-660	247	9	other	other	ADJ
ap-660	247	10	stress	stress	NOUN
ap-660	247	11	states	state	NOUN
ap-660	247	12	that	that	PRON
ap-660	247	13	are	be	AUX
ap-660	247	14	otherwise	otherwise	ADV
ap-660	247	15	difficult	difficult	ADJ
ap-660	247	16	to	to	PART
ap-660	247	17	explain	explain	VERB
ap-660	247	18	,	,	PUNCT
ap-660	247	19	in	in	ADP
ap-660	247	20	which	which	PRON
ap-660	247	21	the	the	DET
ap-660	247	22	vector	vector	NOUN
ap-660	247	23	of	of	ADP
ap-660	247	24	relative	relative	ADJ
ap-660	247	25	elongation	elongation	NOUN
ap-660	247	26	in	in	ADP
ap-660	247	27	one	one	NUM
ap-660	247	28	direction	direction	NOUN
ap-660	247	29	may	may	AUX
ap-660	247	30	have	have	VERB
ap-660	247	31	even	even	ADV
ap-660	247	32	an	an	DET
ap-660	247	33	opposite	opposite	ADJ
ap-660	247	34	orientation	orientation	NOUN
ap-660	247	35	than	than	ADP
ap-660	247	36	the	the	DET
ap-660	247	37	resulting	result	VERB
ap-660	247	38	stress	stress	NOUN
ap-660	247	39	vector	vector	NOUN
ap-660	247	40	(	(	PUNCT
ap-660	247	41	see	see	VERB
ap-660	247	42	table	table	NOUN
ap-660	247	43	1	1	NUM
ap-660	247	44	)	)	PUNCT
ap-660	247	45	.	.	PUNCT
ap-660	248	1	3	3	NUM
ap-660	248	2	fields	field	NOUN
ap-660	248	3	of	of	ADP
ap-660	248	4	practical	practical	ADJ
ap-660	248	5	application	application	NOUN
ap-660	248	6	of	of	ADP
ap-660	248	7	deformation	deformation	NOUN
ap-660	248	8	stress	stress	NOUN
ap-660	248	9	state	state	NOUN
ap-660	248	10	theory	theory	NOUN
ap-660	248	11	deformation	deformation	NOUN
ap-660	248	12	stress	stress	NOUN
ap-660	248	13	state	state	NOUN
ap-660	248	14	theory	theory	NOUN
ap-660	248	15	covers	cover	VERB
ap-660	248	16	an	an	DET
ap-660	248	17	extensive	extensive	ADJ
ap-660	248	18	field	field	NOUN
ap-660	248	19	of	of	ADP
ap-660	248	20	the	the	DET
ap-660	248	21	theory	theory	NOUN
ap-660	248	22	of	of	ADP
ap-660	248	23	elasticity	elasticity	NOUN
ap-660	248	24	.	.	PUNCT
ap-660	249	1	the	the	DET
ap-660	249	2	limited	limited	ADJ
ap-660	249	3	scope	scope	NOUN
ap-660	249	4	of	of	ADP
ap-660	249	5	this	this	DET
ap-660	249	6	paper	paper	NOUN
ap-660	249	7	can	can	AUX
ap-660	249	8	provide	provide	VERB
ap-660	249	9	only	only	ADJ
ap-660	249	10	basic	basic	ADJ
ap-660	249	11	information	information	NOUN
ap-660	249	12	on	on	ADP
ap-660	249	13	the	the	DET
ap-660	249	14	deformation	deformation	NOUN
ap-660	249	15	stress	stress	NOUN
ap-660	249	16	state	state	NOUN
ap-660	249	17	and	and	CCONJ
ap-660	249	18	its	its	PRON
ap-660	249	19	relation	relation	NOUN
ap-660	249	20	to	to	ADP
ap-660	249	21	the	the	DET
ap-660	249	22	stress	stress	NOUN
ap-660	249	23	state	state	NOUN
ap-660	249	24	expressed	express	VERB
ap-660	249	25	by	by	ADP
ap-660	249	26	classical	classical	ADJ
ap-660	249	27	stress	stress	NOUN
ap-660	249	28	state	state	NOUN
ap-660	249	29	quantities	quantity	NOUN
ap-660	249	30	stress	stress	VERB
ap-660	249	31	and	and	CCONJ
ap-660	249	32	its	its	PRON
ap-660	249	33	components	component	NOUN
ap-660	249	34	.	.	PUNCT
ap-660	250	1	it	it	PRON
ap-660	250	2	provides	provide	VERB
ap-660	250	3	a	a	DET
ap-660	250	4	new	new	ADJ
ap-660	250	5	look	look	NOUN
ap-660	250	6	at	at	ADP
ap-660	250	7	the	the	DET
ap-660	250	8	stress	stress	NOUN
ap-660	250	9	state	state	NOUN
ap-660	250	10	as	as	ADP
ap-660	250	11	a	a	DET
ap-660	250	12	phenomenon	phenomenon	NOUN
ap-660	250	13	accompanying	accompany	VERB
ap-660	250	14	deformation	deformation	NOUN
ap-660	250	15	.	.	PUNCT
ap-660	251	1	the	the	DET
ap-660	251	2	application	application	NOUN
ap-660	251	3	of	of	ADP
ap-660	251	4	new	new	ADJ
ap-660	251	5	deformation	deformation	NOUN
ap-660	251	6	stress	stress	NOUN
ap-660	251	7	state	state	NOUN
ap-660	251	8	quantities	quantity	NOUN
ap-660	251	9	will	will	AUX
ap-660	251	10	enable	enable	VERB
ap-660	251	11	the	the	DET
ap-660	251	12	solution	solution	NOUN
ap-660	251	13	of	of	ADP
ap-660	251	14	a	a	DET
ap-660	251	15	number	number	NOUN
ap-660	251	16	of	of	ADP
ap-660	251	17	problems	problem	NOUN
ap-660	251	18	in	in	ADP
ap-660	251	19	the	the	DET
ap-660	251	20	theory	theory	NOUN
ap-660	251	21	of	of	ADP
ap-660	251	22	elasticity	elasticity	NOUN
ap-660	251	23	for	for	ADP
ap-660	251	24	the	the	DET
ap-660	251	25	solution	solution	NOUN
ap-660	251	26	of	of	ADP
ap-660	251	27	which	which	PRON
ap-660	251	28	the	the	DET
ap-660	251	29	application	application	NOUN
ap-660	251	30	of	of	ADP
ap-660	251	31	existing	exist	VERB
ap-660	251	32	force	force	NOUN
ap-660	251	33	quantities	quantity	NOUN
ap-660	251	34	of	of	ADP
ap-660	251	35	stereomechanics	stereomechanic	NOUN
ap-660	251	36	is	be	AUX
ap-660	251	37	inadequate	inadequate	ADJ
ap-660	251	38	.	.	PUNCT
ap-660	252	1	these	these	PRON
ap-660	252	2	include	include	VERB
ap-660	252	3	,	,	PUNCT
ap-660	252	4	in	in	ADP
ap-660	252	5	particular	particular	ADJ
ap-660	252	6	:	:	PUNCT
ap-660	252	7	�	�	NUM
ap-660	252	8	analysis	analysis	NOUN
ap-660	252	9	of	of	ADP
ap-660	252	10	triaxial	triaxial	ADJ
ap-660	252	11	strength	strength	NOUN
ap-660	252	12	and	and	CCONJ
ap-660	252	13	determination	determination	NOUN
ap-660	252	14	of	of	ADP
ap-660	252	15	the	the	DET
ap-660	252	16	safety	safety	NOUN
ap-660	252	17	margin	margin	NOUN
ap-660	252	18	of	of	ADP
ap-660	252	19	elastic	elastic	ADJ
ap-660	252	20	bodies	body	NOUN
ap-660	252	21	,	,	PUNCT
ap-660	252	22	�	�	NOUN
ap-660	252	23	analysis	analysis	NOUN
ap-660	252	24	of	of	ADP
ap-660	252	25	the	the	DET
ap-660	252	26	multiaxial	multiaxial	ADJ
ap-660	252	27	strength	strength	NOUN
ap-660	252	28	of	of	ADP
ap-660	252	29	technical	technical	ADJ
ap-660	252	30	materials	material	NOUN
ap-660	252	31	,	,	PUNCT
ap-660	252	32	�	�	PROPN
ap-660	252	33	clarification	clarification	NOUN
ap-660	252	34	of	of	ADP
ap-660	252	35	the	the	DET
ap-660	252	36	origin	origin	NOUN
ap-660	252	37	of	of	ADP
ap-660	252	38	the	the	DET
ap-660	252	39	deformation	deformation	NOUN
ap-660	252	40	and	and	CCONJ
ap-660	252	41	failure	failure	NOUN
ap-660	252	42	of	of	ADP
ap-660	252	43	triaxially	triaxially	ADV
ap-660	252	44	loaded	load	VERB
ap-660	252	45	elastoplastic	elastoplastic	ADJ
ap-660	252	46	bodies	body	NOUN
ap-660	252	47	,	,	PUNCT
ap-660	252	48	�	�	NOUN
ap-660	252	49	analysis	analysis	NOUN
ap-660	252	50	of	of	ADP
ap-660	252	51	the	the	DET
ap-660	252	52	strength	strength	NOUN
ap-660	252	53	and	and	CCONJ
ap-660	252	54	yield	yield	NOUN
ap-660	252	55	limit	limit	NOUN
ap-660	252	56	of	of	ADP
ap-660	252	57	three	three	NUM
ap-660	252	58	-	-	PUNCT
ap-660	252	59	dimensionally	dimensionally	ADV
ap-660	252	60	loaded	load	VERB
ap-660	252	61	elastoplastic	elastoplastic	ADJ
ap-660	252	62	bodies	body	NOUN
ap-660	252	63	.	.	PUNCT
ap-660	253	1	of	of	ADP
ap-660	253	2	extraordinary	extraordinary	ADJ
ap-660	253	3	significance	significance	NOUN
ap-660	253	4	for	for	ADP
ap-660	253	5	practical	practical	ADJ
ap-660	253	6	application	application	NOUN
ap-660	253	7	is	be	AUX
ap-660	253	8	the	the	DET
ap-660	253	9	formulation	formulation	NOUN
ap-660	253	10	of	of	ADP
ap-660	253	11	the	the	DET
ap-660	253	12	theory	theory	NOUN
ap-660	253	13	of	of	ADP
ap-660	253	14	failure	failure	NOUN
ap-660	253	15	of	of	ADP
ap-660	253	16	elastic	elastic	ADJ
ap-660	253	17	and	and	CCONJ
ap-660	253	18	elastoplastic	elastoplastic	ADJ
ap-660	253	19	materials	material	NOUN
ap-660	253	20	.	.	PUNCT
ap-660	254	1	the	the	DET
ap-660	254	2	principal	principal	ADJ
ap-660	254	3	problem	problem	NOUN
ap-660	254	4	in	in	ADP
ap-660	254	5	existing	exist	VERB
ap-660	254	6	hypotheses	hypothesis	NOUN
ap-660	254	7	of	of	ADP
ap-660	254	8	the	the	DET
ap-660	254	9	origin	origin	NOUN
ap-660	254	10	of	of	ADP
ap-660	254	11	failure	failure	NOUN
ap-660	254	12	is	be	AUX
ap-660	254	13	erroneous	erroneous	ADJ
ap-660	254	14	selection	selection	NOUN
ap-660	254	15	of	of	ADP
ap-660	254	16	the	the	DET
ap-660	254	17	criterial	criterial	ADJ
ap-660	254	18	quantity	quantity	NOUN
ap-660	254	19	.	.	PUNCT
ap-660	255	1	although	although	SCONJ
ap-660	255	2	it	it	PRON
ap-660	255	3	is	be	AUX
ap-660	255	4	known	know	VERB
ap-660	255	5	that	that	SCONJ
ap-660	255	6	failure	failure	NOUN
ap-660	255	7	originates	originate	NOUN
ap-660	255	8	due	due	ADJ
ap-660	255	9	to	to	ADP
ap-660	255	10	exceeding	exceed	VERB
ap-660	255	11	a	a	DET
ap-660	255	12	certain	certain	ADJ
ap-660	255	13	limit	limit	NOUN
ap-660	255	14	state	state	NOUN
ap-660	255	15	of	of	ADP
ap-660	255	16	a	a	DET
ap-660	255	17	three	three	NUM
ap-660	255	18	-	-	PUNCT
ap-660	255	19	dimensional	dimensional	ADJ
ap-660	255	20	stress	stress	NOUN
ap-660	255	21	state	state	NOUN
ap-660	255	22	,	,	PUNCT
ap-660	255	23	which	which	PRON
ap-660	255	24	can	can	AUX
ap-660	255	25	be	be	AUX
ap-660	255	26	defined	define	VERB
ap-660	255	27	only	only	ADV
ap-660	255	28	by	by	ADP
ap-660	255	29	a	a	DET
ap-660	255	30	complete	complete	ADJ
ap-660	255	31	stress	stress	NOUN
ap-660	255	32	tensor	tensor	NOUN
ap-660	255	33	,	,	PUNCT
ap-660	255	34	i.e.	i.e.	X
ap-660	255	35	by	by	ADP
ap-660	255	36	all	all	DET
ap-660	255	37	its	its	PRON
ap-660	255	38	components	component	NOUN
ap-660	255	39	,	,	PUNCT
ap-660	255	40	most	most	ADJ
ap-660	255	41	hypotheses	hypothesis	NOUN
ap-660	255	42	use	use	VERB
ap-660	255	43	only	only	ADV
ap-660	255	44	its	its	PRON
ap-660	255	45	individual	individual	ADJ
ap-660	255	46	components	component	NOUN
ap-660	255	47	as	as	ADP
ap-660	255	48	the	the	DET
ap-660	255	49	criterion	criterion	NOUN
ap-660	255	50	of	of	ADP
ap-660	255	51	failure	failure	NOUN
ap-660	255	52	.	.	PUNCT
ap-660	256	1	the	the	DET
ap-660	256	2	theory	theory	NOUN
ap-660	256	3	of	of	ADP
ap-660	256	4	failure	failure	NOUN
ap-660	256	5	derived	derive	VERB
ap-660	256	6	from	from	ADP
ap-660	256	7	deformation	deformation	NOUN
ap-660	256	8	stress	stress	NOUN
ap-660	256	9	state	state	NOUN
ap-660	256	10	theory	theory	NOUN
ap-660	256	11	is	be	AUX
ap-660	256	12	based	base	VERB
ap-660	256	13	on	on	ADP
ap-660	256	14	the	the	DET
ap-660	256	15	following	follow	VERB
ap-660	256	16	assumptions	assumption	NOUN
ap-660	256	17	:	:	PUNCT
ap-660	256	18	�	�	NOUN
ap-660	256	19	failure	failure	NOUN
ap-660	256	20	can	can	AUX
ap-660	256	21	be	be	AUX
ap-660	256	22	due	due	ADJ
ap-660	256	23	only	only	ADV
ap-660	256	24	to	to	PART
ap-660	256	25	rupture	rupture	NOUN
ap-660	256	26	of	of	ADP
ap-660	256	27	the	the	DET
ap-660	256	28	body;	body;	ADJ
ap-660	256	29	the	the	DET
ap-660	256	30	assumption	assumption	NOUN
ap-660	256	31	that	that	SCONJ
ap-660	256	32	the	the	DET
ap-660	256	33	origin	origin	NOUN
ap-660	256	34	of	of	ADP
ap-660	256	35	failure	failure	NOUN
ap-660	256	36	is	be	AUX
ap-660	256	37	due	due	ADJ
ap-660	256	38	to	to	ADP
ap-660	256	39	shearing	shearing	NOUN
ap-660	256	40	or	or	CCONJ
ap-660	256	41	crushing	crush	VERB
ap-660	256	42	,	,	PUNCT
ap-660	256	43	i.e.	i.e.	X
ap-660	256	44	shear	shear	NOUN
ap-660	256	45	or	or	CCONJ
ap-660	256	46	compressive	compressive	ADJ
ap-660	256	47	stress	stress	NOUN
ap-660	256	48	,	,	PUNCT
ap-660	256	49	is	be	AUX
ap-660	256	50	erroneous	erroneous	ADJ
ap-660	256	51	.	.	PUNCT
ap-660	257	1	�	�	PROPN
ap-660	257	2	the	the	DET
ap-660	257	3	origin	origin	NOUN
ap-660	257	4	of	of	ADP
ap-660	257	5	failure	failure	NOUN
ap-660	257	6	is	be	AUX
ap-660	257	7	influenced	influence	VERB
ap-660	257	8	only	only	ADV
ap-660	257	9	by	by	ADP
ap-660	257	10	the	the	DET
ap-660	257	11	positive	positive	ADJ
ap-660	257	12	part	part	NOUN
ap-660	257	13	of	of	ADP
ap-660	257	14	the	the	DET
ap-660	257	15	deformation	deformation	NOUN
ap-660	257	16	stress	stress	NOUN
ap-660	257	17	state	state	NOUN
ap-660	257	18	accompanied	accompany	VERB
ap-660	257	19	by	by	ADP
ap-660	257	20	positive	positive	ADJ
ap-660	257	21	three	three	NUM
ap-660	257	22	-	-	PUNCT
ap-660	257	23	dimensional	dimensional	ADJ
ap-660	257	24	deformation	deformation	NOUN
ap-660	257	25	.	.	PUNCT
ap-660	258	1	the	the	DET
ap-660	258	2	negative	negative	ADJ
ap-660	258	3	part	part	NOUN
ap-660	258	4	of	of	ADP
ap-660	258	5	the	the	DET
ap-660	258	6	deformation	deformation	NOUN
ap-660	258	7	stress	stress	NOUN
ap-660	258	8	state	state	NOUN
ap-660	258	9	affecting	affect	VERB
ap-660	258	10	compression	compression	NOUN
ap-660	258	11	has	have	VERB
ap-660	258	12	no	no	DET
ap-660	258	13	direct	direct	ADJ
ap-660	258	14	influence	influence	NOUN
ap-660	258	15	on	on	ADP
ap-660	258	16	the	the	DET
ap-660	258	17	origin	origin	NOUN
ap-660	258	18	of	of	ADP
ap-660	258	19	failure	failure	NOUN
ap-660	258	20	.	.	PUNCT
ap-660	259	1	�	�	PROPN
ap-660	259	2	the	the	DET
ap-660	259	3	failure	failure	NOUN
ap-660	259	4	crack	crack	NOUN
ap-660	259	5	is	be	AUX
ap-660	259	6	always	always	ADV
ap-660	259	7	perpendicular	perpendicular	ADJ
ap-660	259	8	to	to	ADP
ap-660	259	9	the	the	DET
ap-660	259	10	vector	vector	NOUN
ap-660	259	11	of	of	ADP
ap-660	259	12	the	the	DET
ap-660	259	13	maximum	maximum	ADJ
ap-660	259	14	principal	principal	ADJ
ap-660	259	15	stress	stress	NOUN
ap-660	259	16	.	.	PUNCT
ap-660	260	1	for	for	ADP
ap-660	260	2	the	the	DET
ap-660	260	3	positive	positive	ADJ
ap-660	260	4	part	part	NOUN
ap-660	260	5	of	of	ADP
ap-660	260	6	the	the	DET
ap-660	260	7	maximum	maximum	ADJ
ap-660	260	8	principal	principal	ADJ
ap-660	260	9	stress	stress	NOUN
ap-660	260	10	�	�	NOUN
ap-660	260	11	1(+	1(+	NUM
ap-660	260	12	)	)	PUNCT
ap-660	260	13	we	we	PRON
ap-660	260	14	have	have	AUX
ap-660	260	15	introduced	introduce	VERB
ap-660	260	16	the	the	DET
ap-660	260	17	term	term	NOUN
ap-660	260	18	effective	effective	ADJ
ap-660	260	19	stress	stress	NOUN
ap-660	260	20	�	�	PROPN
ap-660	260	21	,	,	PUNCT
ap-660	260	22	and	and	CCONJ
ap-660	260	23	for	for	ADP
ap-660	260	24	the	the	DET
ap-660	260	25	positive	positive	ADJ
ap-660	260	26	part	part	NOUN
ap-660	260	27	of	of	ADP
ap-660	260	28	the	the	DET
ap-660	260	29	maximum	maximum	ADJ
ap-660	260	30	internal	internal	ADJ
ap-660	260	31	force	force	NOUN
ap-660	260	32	f1(+	f1(+	ADJ
ap-660	260	33	)	)	PUNCT
ap-660	260	34	the	the	DET
ap-660	260	35	term	term	NOUN
ap-660	260	36	effective	effective	ADJ
ap-660	260	37	force	force	NOUN
ap-660	260	38	f	f	PROPN
ap-660	260	39	�	�	PROPN
ap-660	260	40	.	.	PUNCT
ap-660	261	1	the	the	DET
ap-660	261	2	effective	effective	ADJ
ap-660	261	3	stress	stress	NOUN
ap-660	261	4	equation	equation	NOUN
ap-660	261	5	is	be	AUX
ap-660	261	6	obtained	obtain	VERB
ap-660	261	7	from	from	ADP
ap-660	261	8	eq	eq	PROPN
ap-660	261	9	.	.	PUNCT
ap-660	262	1	(	(	PUNCT
ap-660	262	2	23	23	NUM
ap-660	262	3	)	)	PUNCT
ap-660	262	4	,	,	PUNCT
ap-660	262	5	in	in	ADP
ap-660	262	6	which	which	PRON
ap-660	262	7	the	the	DET
ap-660	262	8	solid	solid	ADJ
ap-660	262	9	angle	angle	NOUN
ap-660	262	10	of	of	ADP
ap-660	262	11	the	the	DET
ap-660	262	12	deformation	deformation	NOUN
ap-660	262	13	stresses	stress	NOUN
ap-660	262	14	with	with	ADP
ap-660	262	15	reference	reference	NOUN
ap-660	262	16	to	to	ADP
ap-660	262	17	the	the	DET
ap-660	262	18	cross	cross	PROPN
ap-660	262	19	section	section	PROPN
ap-660	262	20	surface	surface	NOUN
ap-660	262	21	(	(	PUNCT
ap-660	262	22	a	a	DET
ap-660	262	23	�	�	PROPN
ap-660	262	24	�	�	PROPN
ap-660	262	25	)	)	PUNCT
ap-660	262	26	is	be	AUX
ap-660	262	27	limited	limit	VERB
ap-660	262	28	to	to	ADP
ap-660	262	29	the	the	DET
ap-660	262	30	solid	solid	ADJ
ap-660	262	31	angle	angle	NOUN
ap-660	262	32	of	of	ADP
ap-660	262	33	the	the	DET
ap-660	262	34	positive	positive	ADJ
ap-660	262	35	deformation	deformation	NOUN
ap-660	262	36	force	force	NOUN
ap-660	262	37	effect	effect	NOUN
ap-660	262	38	(	(	PUNCT
ap-660	262	39	+	+	NOUN
ap-660	262	40	)	)	PUNCT
ap-660	262	41	(	(	PUNCT
ap-660	262	42	fig	fig	NOUN
ap-660	262	43	.	.	PUNCT
ap-660	263	1	12	12	NUM
ap-660	263	2	)	)	PUNCT
ap-660	263	3	.	.	PUNCT
ap-660	264	1	�	�	PROPN
ap-660	264	2	�	�	PROPN
ap-660	264	3	�	�	PROPN
ap-660	264	4	�	�	PROPN
ap-660	264	5	1	1	NUM
ap-660	264	6	2	2	NUM
ap-660	264	7	�	�	PROPN
ap-660	264	8	�	�	PROPN
ap-660	264	9	�	�	PROPN
ap-660	264	10	cos	cos	PROPN
ap-660	264	11	(	(	PUNCT
ap-660	264	12	)	)	PUNCT
ap-660	264	13	d	d	NOUN
ap-660	264	14	.	.	PUNCT
ap-660	265	1	(	(	PUNCT
ap-660	265	2	26	26	NUM
ap-660	265	3	)	)	PUNCT
ap-660	265	4	the	the	DET
ap-660	265	5	effective	effective	ADJ
ap-660	265	6	stress	stress	NOUN
ap-660	265	7	indicates	indicate	VERB
ap-660	265	8	the	the	DET
ap-660	265	9	magnitude	magnitude	NOUN
ap-660	265	10	of	of	ADP
ap-660	265	11	the	the	DET
ap-660	265	12	stress	stress	NOUN
ap-660	265	13	state	state	NOUN
ap-660	265	14	.	.	PUNCT
ap-660	266	1	failure	failure	NOUN
ap-660	266	2	originates	originate	NOUN
ap-660	266	3	in	in	ADP
ap-660	266	4	any	any	DET
ap-660	266	5	three	three	NUM
ap-660	266	6	-	-	PUNCT
ap-660	266	7	dimensional	dimensional	ADJ
ap-660	266	8	stress	stress	NOUN
ap-660	266	9	state	state	NOUN
ap-660	266	10	by	by	ADP
ap-660	266	11	exceeding	exceed	VERB
ap-660	266	12	the	the	DET
ap-660	266	13	same	same	ADJ
ap-660	266	14	maximum	maximum	ADJ
ap-660	266	15	effective	effective	ADJ
ap-660	266	16	stress	stress	NOUN
ap-660	266	17	value	value	NOUN
ap-660	266	18	,	,	PUNCT
ap-660	266	19	effective	effective	ADJ
ap-660	266	20	strength	strength	NOUN
ap-660	266	21	f	f	PROPN
ap-660	266	22	�	�	PROPN
ap-660	266	23	,	,	PUNCT
ap-660	266	24	i.e.	i.e.	X
ap-660	266	25	the	the	DET
ap-660	266	26	ultimate	ultimate	ADJ
ap-660	266	27	positive	positive	ADJ
ap-660	266	28	part	part	NOUN
ap-660	266	29	of	of	ADP
ap-660	266	30	the	the	DET
ap-660	266	31	resulting	result	VERB
ap-660	266	32	stress	stress	NOUN
ap-660	266	33	with	with	ADP
ap-660	266	34	reference	reference	NOUN
ap-660	266	35	to	to	ADP
ap-660	266	36	the	the	DET
ap-660	266	37	surface	surface	NOUN
ap-660	266	38	perpendicular	perpendicular	NOUN
ap-660	266	39	to	to	ADP
ap-660	266	40	the	the	DET
ap-660	266	41	principal	principal	ADJ
ap-660	266	42	axis	axis	NOUN
ap-660	266	43	of	of	ADP
ap-660	266	44	maximum	maximum	ADJ
ap-660	266	45	elongation	elongation	NOUN
ap-660	266	46	.	.	PUNCT
ap-660	267	1	the	the	DET
ap-660	267	2	criterion	criterion	NOUN
ap-660	267	3	of	of	ADP
ap-660	267	4	failure	failure	NOUN
ap-660	267	5	based	base	VERB
ap-660	267	6	on	on	ADP
ap-660	267	7	deformation	deformation	NOUN
ap-660	267	8	stress	stress	NOUN
ap-660	267	9	state	state	NOUN
ap-660	267	10	theory	theory	NOUN
ap-660	267	11	is	be	AUX
ap-660	267	12	expressed	express	VERB
ap-660	267	13	as	as	SCONJ
ap-660	267	14	follows	follow	VERB
ap-660	267	15	:	:	PUNCT
ap-660	267	16	failure	failure	NOUN
ap-660	267	17	occurs	occur	VERB
ap-660	267	18	in	in	ADP
ap-660	267	19	that	that	DET
ap-660	267	20	point	point	NOUN
ap-660	267	21	of	of	ADP
ap-660	267	22	the	the	DET
ap-660	267	23	body	body	NOUN
ap-660	267	24	in	in	ADP
ap-660	267	25	which	which	PRON
ap-660	267	26	the	the	DET
ap-660	267	27	maximum	maximum	ADJ
ap-660	267	28	effective	effective	ADJ
ap-660	267	29	stress	stress	NOUN
ap-660	267	30	�	�	PROPN
ap-660	267	31	max	max	PROPN
ap-660	267	32	attains	attain	NOUN
ap-660	267	33	effective	effective	ADJ
ap-660	267	34	trength	trength	NOUN
ap-660	267	35	f	f	PROPN
ap-660	267	36	�	�	PROPN
ap-660	267	37	.	.	PUNCT
ap-660	268	1	this	this	DET
ap-660	268	2	criterion	criterion	NOUN
ap-660	268	3	yields	yield	VERB
ap-660	268	4	the	the	DET
ap-660	268	5	limit	limit	NOUN
ap-660	268	6	condition	condition	NOUN
ap-660	268	7	�	�	PROPN
ap-660	268	8	�	�	PROPN
ap-660	268	9	max	max	PROPN
ap-660	268	10	�	�	PROPN
ap-660	268	11	f	f	PROPN
ap-660	268	12	.	.	PUNCT
ap-660	269	1	(	(	PUNCT
ap-660	269	2	27	27	NUM
ap-660	269	3	)	)	PUNCT
ap-660	269	4	the	the	DET
ap-660	269	5	effective	effective	ADJ
ap-660	269	6	strength	strength	NOUN
ap-660	269	7	is	be	AUX
ap-660	269	8	obtained	obtain	VERB
ap-660	269	9	from	from	ADP
ap-660	269	10	any	any	DET
ap-660	269	11	classical	classical	ADJ
ap-660	269	12	strength	strength	NOUN
ap-660	269	13	value	value	NOUN
ap-660	269	14	(	(	PUNCT
ap-660	269	15	preferably	preferably	ADV
ap-660	269	16	strength	strength	NOUN
ap-660	269	17	in	in	ADP
ap-660	269	18	uniaxial	uniaxial	ADJ
ap-660	269	19	compression	compression	NOUN
ap-660	269	20	or	or	CCONJ
ap-660	269	21	tension	tension	NOUN
ap-660	269	22	)	)	PUNCT
ap-660	269	23	obtained	obtain	VERB
ap-660	269	24	by	by	ADP
ap-660	269	25	tests	test	NOUN
ap-660	269	26	and	and	CCONJ
ap-660	269	27	expressed	express	VERB
ap-660	269	28	by	by	ADP
ap-660	269	29	classical	classical	ADJ
ap-660	269	30	stress	stress	NOUN
ap-660	269	31	.	.	PUNCT
ap-660	270	1	fig	fig	NOUN
ap-660	270	2	.	.	PUNCT
ap-660	271	1	12	12	NUM
ap-660	271	2	shows	show	VERB
ap-660	271	3	the	the	DET
ap-660	271	4	deformation	deformation	NOUN
ap-660	271	5	force	force	NOUN
ap-660	271	6	effect	effect	NOUN
ap-660	271	7	under	under	ADP
ap-660	271	8	various	various	ADJ
ap-660	271	9	loads	load	NOUN
ap-660	271	10	applied	apply	VERB
ap-660	271	11	to	to	ADP
ap-660	271	12	a	a	DET
ap-660	271	13	spherical	spherical	ADJ
ap-660	271	14	element	element	NOUN
ap-660	271	15	.	.	PUNCT
ap-660	272	1	fig	fig	NOUN
ap-660	272	2	.	.	PUNCT
ap-660	273	1	12a	12a	NOUN
ap-660	273	2	shows	show	VERB
ap-660	273	3	schematically	schematically	NOUN
ap-660	273	4	the	the	DET
ap-660	273	5	deformation	deformation	NOUN
ap-660	273	6	stress	stress	NOUN
ap-660	273	7	state	state	NOUN
ap-660	273	8	of	of	ADP
ap-660	273	9	a	a	DET
ap-660	273	10	biaxially	biaxially	ADV
ap-660	273	11	compressed	compress	VERB
ap-660	273	12	element	element	NOUN
ap-660	273	13	.	.	PUNCT
ap-660	274	1	the	the	DET
ap-660	274	2	positive	positive	ADJ
ap-660	274	3	part	part	NOUN
ap-660	274	4	of	of	ADP
ap-660	274	5	the	the	DET
ap-660	274	6	deformation	deformation	NOUN
ap-660	274	7	stress	stress	NOUN
ap-660	274	8	state	state	NOUN
ap-660	274	9	is	be	AUX
ap-660	274	10	limited	limit	VERB
ap-660	274	11	by	by	ADP
ap-660	274	12	the	the	DET
ap-660	274	13	conical	conical	ADJ
ap-660	274	14	surface	surface	NOUN
ap-660	274	15	of	of	ADP
ap-660	274	16	zero	zero	NUM
ap-660	274	17	deformation	deformation	NOUN
ap-660	274	18	stress	stress	NOUN
ap-660	274	19	�	�	PROPN
ap-660	274	20	0	0	NUM
ap-660	274	21	,	,	PUNCT
ap-660	274	22	which	which	PRON
ap-660	274	23	is	be	AUX
ap-660	274	24	also	also	ADV
ap-660	274	25	the	the	DET
ap-660	274	26	surface	surface	NOUN
ap-660	274	27	of	of	ADP
ap-660	274	28	zero	zero	NUM
ap-660	274	29	relative	relative	ADJ
ap-660	274	30	elongation	elongation	NOUN
ap-660	274	31	�	�	PROPN
ap-660	274	32	�	�	PROPN
ap-660	274	33	0	0	NUM
ap-660	274	34	.	.	PUNCT
ap-660	275	1	the	the	DET
ap-660	275	2	10	10	NUM
ap-660	275	3	©	©	PROPN
ap-660	275	4	czech	czech	PROPN
ap-660	275	5	technical	technical	PROPN
ap-660	275	6	university	university	PROPN
ap-660	275	7	publishing	publishing	NOUN
ap-660	275	8	house	house	NOUN
ap-660	275	9	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-660	275	10	acta	acta	PROPN
ap-660	275	11	polytechnica	polytechnica	PROPN
ap-660	275	12	vol	vol	NOUN
ap-660	275	13	.	.	PROPN
ap-660	276	1	45	45	NUM
ap-660	276	2	no	no	NOUN
ap-660	276	3	.	.	PUNCT
ap-660	277	1	1/2005	1/2005	NUM
ap-660	277	2	czech	czech	PROPN
ap-660	277	3	technical	technical	PROPN
ap-660	277	4	university	university	PROPN
ap-660	277	5	in	in	ADP
ap-660	277	6	prague	prague	PROPN
ap-660	277	7	fig	fig	NOUN
ap-660	277	8	.	.	PUNCT
ap-660	278	1	12	12	NUM
ap-660	278	2	:	:	PUNCT
ap-660	278	3	schematic	schematic	ADJ
ap-660	278	4	diagram	diagram	NOUN
ap-660	278	5	of	of	ADP
ap-660	278	6	the	the	DET
ap-660	278	7	deformation	deformation	NOUN
ap-660	278	8	force	force	NOUN
ap-660	278	9	effect	effect	NOUN
ap-660	278	10	on	on	ADP
ap-660	278	11	the	the	DET
ap-660	278	12	spherical	spherical	ADJ
ap-660	278	13	element	element	NOUN
ap-660	278	14	in	in	ADP
ap-660	278	15	the	the	DET
ap-660	278	16	classical	classical	ADJ
ap-660	278	17	stress	stress	NOUN
ap-660	278	18	state	state	NOUN
ap-660	278	19	picture	picture	NOUN
ap-660	278	20	also	also	ADV
ap-660	278	21	explains	explain	VERB
ap-660	278	22	why	why	SCONJ
ap-660	278	23	in	in	ADP
ap-660	278	24	the	the	DET
ap-660	278	25	case	case	NOUN
ap-660	278	26	of	of	ADP
ap-660	278	27	biaxial	biaxial	ADJ
ap-660	278	28	compression	compression	NOUN
ap-660	278	29	the	the	DET
ap-660	278	30	body	body	NOUN
ap-660	278	31	ruptures	rupture	NOUN
ap-660	278	32	in	in	ADP
ap-660	278	33	the	the	DET
ap-660	278	34	direction	direction	NOUN
ap-660	278	35	of	of	ADP
ap-660	278	36	zero	zero	NUM
ap-660	278	37	stress	stress	NOUN
ap-660	278	38	.	.	PUNCT
ap-660	279	1	the	the	DET
ap-660	279	2	rupture	rupture	NOUN
ap-660	279	3	is	be	AUX
ap-660	279	4	due	due	ADJ
ap-660	279	5	to	to	ADP
ap-660	279	6	the	the	DET
ap-660	279	7	fact	fact	NOUN
ap-660	279	8	that	that	SCONJ
ap-660	279	9	the	the	DET
ap-660	279	10	value	value	NOUN
ap-660	279	11	of	of	ADP
ap-660	279	12	the	the	DET
ap-660	279	13	positive	positive	ADJ
ap-660	279	14	part	part	NOUN
ap-660	279	15	of	of	ADP
ap-660	279	16	the	the	DET
ap-660	279	17	internal	internal	ADJ
ap-660	279	18	force	force	NOUN
ap-660	279	19	is	be	AUX
ap-660	279	20	equal	equal	ADJ
ap-660	279	21	to	to	ADP
ap-660	279	22	the	the	DET
ap-660	279	23	absolute	absolute	ADJ
ap-660	279	24	value	value	NOUN
ap-660	279	25	of	of	ADP
ap-660	279	26	its	its	PRON
ap-660	279	27	negative	negative	ADJ
ap-660	279	28	part	part	NOUN
ap-660	279	29	(	(	PUNCT
ap-660	279	30	eq	eq	NOUN
ap-660	279	31	.	.	PROPN
ap-660	279	32	25	25	NUM
ap-660	279	33	)	)	PUNCT
ap-660	279	34	.	.	PUNCT
ap-660	280	1	although	although	SCONJ
ap-660	280	2	the	the	DET
ap-660	280	3	internal	internal	ADJ
ap-660	280	4	force	force	NOUN
ap-660	280	5	is	be	AUX
ap-660	280	6	equal	equal	ADJ
ap-660	280	7	to	to	ADP
ap-660	280	8	zero	zero	NUM
ap-660	280	9	,	,	PUNCT
ap-660	280	10	the	the	DET
ap-660	280	11	body	body	NOUN
ap-660	280	12	ruptures	rupture	VERB
ap-660	280	13	as	as	ADV
ap-660	280	14	soon	soon	ADV
ap-660	280	15	as	as	SCONJ
ap-660	280	16	the	the	DET
ap-660	280	17	effective	effective	ADJ
ap-660	280	18	stress	stress	NOUN
ap-660	280	19	attains	attain	VERB
ap-660	280	20	the	the	DET
ap-660	280	21	value	value	NOUN
ap-660	280	22	of	of	ADP
ap-660	280	23	the	the	DET
ap-660	280	24	effective	effective	ADJ
ap-660	280	25	strength	strength	NOUN
ap-660	280	26	.	.	PUNCT
ap-660	281	1	figs	fig	NOUN
ap-660	281	2	.	.	PUNCT
ap-660	282	1	12b	12b	NOUN
ap-660	282	2	and	and	CCONJ
ap-660	282	3	12c	12c	NOUN
ap-660	282	4	show	show	VERB
ap-660	282	5	schematically	schematically	NOUN
ap-660	282	6	the	the	DET
ap-660	282	7	deformation	deformation	NOUN
ap-660	282	8	stress	stress	NOUN
ap-660	282	9	state	state	NOUN
ap-660	282	10	of	of	ADP
ap-660	282	11	the	the	DET
ap-660	282	12	element	element	NOUN
ap-660	282	13	subjected	subject	VERB
ap-660	282	14	to	to	ADP
ap-660	282	15	uniaxial	uniaxial	ADJ
ap-660	282	16	tension	tension	NOUN
ap-660	282	17	and	and	CCONJ
ap-660	282	18	of	of	ADP
ap-660	282	19	the	the	DET
ap-660	282	20	element	element	NOUN
ap-660	282	21	subjected	subject	VERB
ap-660	282	22	to	to	ADP
ap-660	282	23	uniform	uniform	VERB
ap-660	282	24	all	all	DET
ap-660	282	25	-	-	PUNCT
ap-660	282	26	direction	direction	NOUN
ap-660	282	27	tension	tension	NOUN
ap-660	282	28	,	,	PUNCT
ap-660	282	29	respectively	respectively	ADV
ap-660	282	30	.	.	PUNCT
ap-660	283	1	the	the	DET
ap-660	283	2	small	small	ADJ
ap-660	283	3	diagrams	diagram	NOUN
ap-660	283	4	attached	attach	VERB
ap-660	283	5	to	to	ADP
ap-660	283	6	the	the	DET
ap-660	283	7	pictures	picture	NOUN
ap-660	283	8	show	show	VERB
ap-660	283	9	that	that	SCONJ
ap-660	283	10	for	for	ADP
ap-660	283	11	the	the	DET
ap-660	283	12	maximum	maximum	ADJ
ap-660	283	13	deformation	deformation	NOUN
ap-660	283	14	of	of	ADP
ap-660	283	15	the	the	DET
ap-660	283	16	same	same	ADJ
ap-660	283	17	magnitude	magnitude	NOUN
ap-660	283	18	1	1	NUM
ap-660	283	19	(	(	PUNCT
ap-660	283	20	and	and	CCONJ
ap-660	283	21	,	,	PUNCT
ap-660	283	22	consequently	consequently	ADV
ap-660	283	23	,	,	PUNCT
ap-660	283	24	also	also	ADV
ap-660	283	25	maximum	maximum	ADJ
ap-660	283	26	relative	relative	ADJ
ap-660	283	27	elongation	elongation	NOUN
ap-660	283	28	�	�	PROPN
ap-660	283	29	1	1	NUM
ap-660	283	30	)	)	PUNCT
ap-660	283	31	,	,	PUNCT
ap-660	283	32	the	the	DET
ap-660	283	33	effective	effective	ADJ
ap-660	283	34	force	force	NOUN
ap-660	283	35	f	f	PROPN
ap-660	283	36	�	�	PROPN
ap-660	283	37	is	be	AUX
ap-660	283	38	smallest	small	ADJ
ap-660	283	39	under	under	ADP
ap-660	283	40	biaxial	biaxial	ADJ
ap-660	283	41	compression	compression	NOUN
ap-660	283	42	and	and	CCONJ
ap-660	283	43	greatest	great	ADJ
ap-660	283	44	under	under	ADP
ap-660	283	45	uniform	uniform	ADJ
ap-660	283	46	all	all	DET
ap-660	283	47	-	-	PUNCT
ap-660	283	48	direction	direction	NOUN
ap-660	283	49	tension	tension	NOUN
ap-660	283	50	.	.	PUNCT
ap-660	284	1	this	this	PRON
ap-660	284	2	explains	explain	VERB
ap-660	284	3	why	why	SCONJ
ap-660	284	4	,	,	PUNCT
ap-660	284	5	when	when	SCONJ
ap-660	284	6	the	the	DET
ap-660	284	7	effective	effective	ADJ
ap-660	284	8	strength	strength	NOUN
ap-660	284	9	f	f	X
ap-660	284	10	�	�	PROPN
ap-660	284	11	has	have	AUX
ap-660	284	12	been	be	AUX
ap-660	284	13	attained	attain	VERB
ap-660	284	14	,	,	PUNCT
ap-660	284	15	the	the	DET
ap-660	284	16	relative	relative	ADJ
ap-660	284	17	elongation	elongation	NOUN
ap-660	284	18	is	be	AUX
ap-660	284	19	highest	high	ADJ
ap-660	284	20	under	under	ADP
ap-660	284	21	biaxial	biaxial	ADJ
ap-660	284	22	compression	compression	NOUN
ap-660	284	23	and	and	CCONJ
ap-660	284	24	lowest	low	ADJ
ap-660	284	25	under	under	ADP
ap-660	284	26	all	all	PRON
ap-660	284	27	-	-	PUNCT
ap-660	284	28	directional	directional	ADJ
ap-660	284	29	tension	tension	NOUN
ap-660	284	30	.	.	PUNCT
ap-660	285	1	references	reference	NOUN
ap-660	285	2	[	[	X
ap-660	285	3	1	1	NUM
ap-660	285	4	]	]	PUNCT
ap-660	285	5	bridgman	bridgman	NOUN
ap-660	285	6	,	,	PUNCT
ap-660	285	7	p.	p.	PROPN
ap-660	285	8	w.	w.	PROPN
ap-660	285	9	:	:	PUNCT
ap-660	285	10	the	the	DET
ap-660	285	11	physics	physics	NOUN
ap-660	285	12	of	of	ADP
ap-660	285	13	high	high	ADJ
ap-660	285	14	pressure	pressure	NOUN
ap-660	285	15	,	,	PUNCT
ap-660	285	16	chapter	chapter	NOUN
ap-660	285	17	4	4	NUM
ap-660	285	18	.	.	PUNCT
ap-660	285	19	london	london	PROPN
ap-660	285	20	,	,	PUNCT
ap-660	285	21	g.	g.	PROPN
ap-660	285	22	bell	bell	PROPN
ap-660	285	23	and	and	CCONJ
ap-660	285	24	sons	son	NOUN
ap-660	285	25	ltd	ltd	PROPN
ap-660	285	26	.	.	PROPN
ap-660	285	27	,	,	PUNCT
ap-660	285	28	1954	1954	NUM
ap-660	285	29	.	.	PUNCT
ap-660	286	1	[	[	X
ap-660	286	2	2	2	NUM
ap-660	286	3	]	]	PUNCT
ap-660	286	4	bridgman	bridgman	NOUN
ap-660	286	5	,	,	PUNCT
ap-660	286	6	p.	p.	PROPN
ap-660	286	7	w.	w.	PROPN
ap-660	286	8	:	:	PUNCT
ap-660	286	9	“	"	PUNCT
ap-660	286	10	collected	collect	VERB
ap-660	286	11	experimental	experimental	ADJ
ap-660	286	12	papers	paper	NOUN
ap-660	286	13	”	"	PUNCT
ap-660	286	14	,	,	PUNCT
ap-660	286	15	papers	paper	NOUN
ap-660	286	16	1–14	1–14	PROPN
ap-660	286	17	,	,	PUNCT
ap-660	286	18	cambridge	cambridge	PROPN
ap-660	286	19	,	,	PUNCT
ap-660	286	20	massachussets	massachussets	PROPN
ap-660	286	21	,	,	PUNCT
ap-660	286	22	harvard	harvard	PROPN
ap-660	286	23	university	university	PROPN
ap-660	286	24	press	press	NOUN
ap-660	286	25	,	,	PUNCT
ap-660	286	26	1964	1964	NUM
ap-660	286	27	.	.	PUNCT
ap-660	287	1	[	[	X
ap-660	287	2	3	3	NUM
ap-660	287	3	]	]	X
ap-660	287	4	cottrell	cottrell	PROPN
ap-660	287	5	,	,	PUNCT
ap-660	287	6	a.	a.	PROPN
ap-660	287	7	h.	h.	PROPN
ap-660	287	8	:	:	PUNCT
ap-660	288	1	the	the	DET
ap-660	288	2	mechanical	mechanical	ADJ
ap-660	288	3	properties	property	NOUN
ap-660	288	4	of	of	ADP
ap-660	288	5	matter	matter	NOUN
ap-660	288	6	.	.	PUNCT
ap-660	289	1	new	new	PROPN
ap-660	289	2	york	york	PROPN
ap-660	289	3	,	,	PUNCT
ap-660	289	4	london	london	PROPN
ap-660	289	5	,	,	PUNCT
ap-660	289	6	sydney	sydney	PROPN
ap-660	289	7	,	,	PUNCT
ap-660	289	8	j.	j.	PROPN
ap-660	289	9	wiley	wiley	PROPN
ap-660	289	10	and	and	CCONJ
ap-660	289	11	sons	son	NOUN
ap-660	289	12	,	,	PUNCT
ap-660	289	13	inc	inc	PROPN
ap-660	289	14	.	.	PROPN
ap-660	289	15	1964	1964	NUM
ap-660	289	16	.	.	PUNCT
ap-660	290	1	[	[	X
ap-660	290	2	4	4	NUM
ap-660	290	3	]	]	X
ap-660	290	4	novák	novák	NOUN
ap-660	290	5	,	,	PUNCT
ap-660	290	6	o.	o.	NOUN
ap-660	290	7	et	et	PROPN
ap-660	290	8	al	al	PROPN
ap-660	290	9	.	.	PROPN
ap-660	290	10	:	:	PUNCT
ap-660	290	11	“	"	PUNCT
ap-660	290	12	strength	strength	NOUN
ap-660	290	13	of	of	ADP
ap-660	290	14	materials	material	NOUN
ap-660	290	15	in	in	ADP
ap-660	290	16	building	building	NOUN
ap-660	290	17	.	.	PUNCT
ap-660	290	18	”	"	PUNCT
ap-660	291	1	technical	technical	ADJ
ap-660	291	2	guidebook	guidebook	ADJ
ap-660	291	3	vol	vol	NOUN
ap-660	291	4	.	.	PROPN
ap-660	291	5	3	3	NUM
ap-660	291	6	(	(	PUNCT
ap-660	291	7	in	in	ADP
ap-660	291	8	czech	czech	PROPN
ap-660	291	9	)	)	PUNCT
ap-660	291	10	,	,	PUNCT
ap-660	291	11	prague	prague	PROPN
ap-660	291	12	,	,	PUNCT
ap-660	291	13	sntl	sntl	ADJ
ap-660	291	14	publishers	publisher	NOUN
ap-660	291	15	,	,	PUNCT
ap-660	291	16	1963	1963	NUM
ap-660	291	17	.	.	PUNCT
ap-660	292	1	[	[	X
ap-660	292	2	5	5	NUM
ap-660	292	3	]	]	X
ap-660	292	4	servít	servít	NOUN
ap-660	292	5	,	,	PUNCT
ap-660	292	6	r.	r.	PROPN
ap-660	292	7	:	:	PUNCT
ap-660	292	8	“	"	PUNCT
ap-660	292	9	statics	statics	NOUN
ap-660	292	10	of	of	ADP
ap-660	292	11	building	building	NOUN
ap-660	292	12	structures	structure	NOUN
ap-660	292	13	”	"	PUNCT
ap-660	292	14	technical	technical	ADJ
ap-660	292	15	guidebook	guidebook	NOUN
ap-660	292	16	(	(	PUNCT
ap-660	292	17	in	in	ADP
ap-660	292	18	czech	czech	PROPN
ap-660	292	19	)	)	PUNCT
ap-660	292	20	,	,	PUNCT
ap-660	292	21	prague	prague	PROPN
ap-660	292	22	,	,	PUNCT
ap-660	292	23	sntl	sntl	ADJ
ap-660	292	24	publishers	publisher	NOUN
ap-660	292	25	,	,	PUNCT
ap-660	292	26	1973	1973	NUM
ap-660	292	27	.	.	PUNCT
ap-660	293	1	[	[	X
ap-660	293	2	6	6	NUM
ap-660	293	3	]	]	SYM
ap-660	293	4	servít	servít	NOUN
ap-660	293	5	,	,	PUNCT
ap-660	293	6	r.	r.	PROPN
ap-660	293	7	:	:	PUNCT
ap-660	293	8	strength	strength	NOUN
ap-660	293	9	of	of	ADP
ap-660	293	10	materials	material	NOUN
ap-660	293	11	in	in	ADP
ap-660	293	12	construction	construction	NOUN
ap-660	293	13	,	,	PUNCT
ap-660	293	14	vol	vol	NOUN
ap-660	293	15	.	.	PUNCT
ap-660	293	16	ii	ii	PROPN
ap-660	293	17	–	–	PUNCT
ap-660	293	18	theory	theory	NOUN
ap-660	293	19	of	of	ADP
ap-660	293	20	failure	failure	NOUN
ap-660	293	21	(	(	PUNCT
ap-660	293	22	in	in	ADP
ap-660	293	23	czech	czech	PROPN
ap-660	293	24	)	)	PUNCT
ap-660	293	25	,	,	PUNCT
ap-660	293	26	prague	prague	PROPN
ap-660	293	27	,	,	PUNCT
ap-660	293	28	sntl	sntl	ADJ
ap-660	293	29	publishers	publisher	NOUN
ap-660	293	30	,	,	PUNCT
ap-660	293	31	1966	1966	NUM
ap-660	293	32	.	.	PUNCT
ap-660	294	1	[	[	X
ap-660	294	2	7	7	NUM
ap-660	294	3	]	]	SYM
ap-660	294	4	skokánek	skokánek	NOUN
ap-660	294	5	,	,	PUNCT
ap-660	294	6	j.	j.	PROPN
ap-660	294	7	:	:	PUNCT
ap-660	294	8	“	"	PUNCT
ap-660	294	9	deformation	deformation	NOUN
ap-660	294	10	stress	stress	NOUN
ap-660	294	11	state	state	NOUN
ap-660	294	12	theory	theory	NOUN
ap-660	294	13	.	.	PUNCT
ap-660	294	14	”	"	PUNCT
ap-660	295	1	(	(	PUNCT
ap-660	295	2	in	in	ADP
ap-660	295	3	czech	czech	PROPN
ap-660	295	4	)	)	PUNCT
ap-660	295	5	,	,	PUNCT
ap-660	295	6	prague	prague	NOUN
ap-660	295	7	2004	2004	NUM
ap-660	295	8	,	,	PUNCT
ap-660	295	9	unpublished	unpublished	ADJ
ap-660	295	10	.	.	PUNCT
ap-660	296	1	ing	ing	ADJ
ap-660	296	2	.	.	PROPN
ap-660	297	1	jiří	jiří	NOUN
ap-660	297	2	skokánek	skokánek	NOUN
ap-660	297	3	,	,	PUNCT
ap-660	297	4	csc	csc	PROPN
ap-660	297	5	.	.	PROPN
ap-660	297	6	autorizovaný	autorizovaný	PROPN
ap-660	297	7	inženýr	inženýr	PROPN
ap-660	297	8	pro	pro	PROPN
ap-660	297	9	statiku	statiku	VERB
ap-660	297	10	a	a	DET
ap-660	297	11	dynamiku	dynamiku	NOUN
ap-660	297	12	staveb	staveb	PROPN
ap-660	297	13	phone	phone	NOUN
ap-660	297	14	:	:	PUNCT
ap-660	297	15	+420	+420	NUM
ap-660	297	16	241	241	NUM
ap-660	297	17	727	727	NUM
ap-660	297	18	378	378	NUM
ap-660	297	19	korandova	korandova	NOUN
ap-660	297	20	37	37	NUM
ap-660	297	21	147	147	NUM
ap-660	297	22	00	00	NUM
ap-660	297	23	praha	praha	PROPN
ap-660	297	24	4	4	NUM
ap-660	297	25	,	,	PUNCT
ap-660	297	26	czech	czech	PROPN
ap-660	297	27	republic	republic	NOUN
ap-660	297	28	©	©	PROPN
ap-660	297	29	czech	czech	PROPN
ap-660	297	30	technical	technical	PROPN
ap-660	297	31	university	university	PROPN
ap-660	297	32	publishing	publishing	NOUN
ap-660	297	33	house	house	NOUN
ap-660	297	34	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-660	297	35	11	11	NUM
ap-660	297	36	czech	czech	PROPN
ap-660	297	37	technical	technical	PROPN
ap-660	297	38	university	university	PROPN
ap-660	297	39	in	in	ADP
ap-660	297	40	prague	prague	PROPN
ap-660	297	41	acta	acta	PROPN
ap-660	297	42	polytechnica	polytechnica	PROPN
ap-660	297	43	vol	vol	NOUN
ap-660	297	44	.	.	PROPN
ap-660	298	1	45	45	NUM
ap-660	298	2	no	no	NOUN
ap-660	298	3	.	.	PUNCT
ap-660	299	1	1/2005	1/2005	NUM