id	sid	tid	token	lemma	pos
app01-9218	1	1	acta	acta	PROPN
app01-9218	1	2	polytechnica	polytechnica	PROPN
app01-9218	1	3	ctu	ctu	NOUN
app01-9218	1	4	proceedings	proceeding	NOUN
app01-9218	1	5	https://doi.org/10.14311/app.2023.40.0117	https://doi.org/10.14311/app.2023.40.0117	PROPN
app01-9218	1	6	acta	acta	PROPN
app01-9218	1	7	polytechnica	polytechnica	PROPN
app01-9218	1	8	ctu	ctu	NOUN
app01-9218	1	9	proceedings	proceeding	NOUN
app01-9218	1	10	40:117–122	40:117–122	PROPN
app01-9218	1	11	,	,	PUNCT
app01-9218	1	12	2023	2023	NUM
app01-9218	1	13	©	©	ADP
app01-9218	1	14	2023	2023	NUM
app01-9218	1	15	the	the	DET
app01-9218	1	16	author(s	author(s	NOUN
app01-9218	1	17	)	)	PUNCT
app01-9218	1	18	.	.	PUNCT
app01-9218	2	1	licensed	license	VERB
app01-9218	2	2	under	under	ADP
app01-9218	2	3	a	a	DET
app01-9218	2	4	cc	cc	NOUN
app01-9218	2	5	-	-	PUNCT
app01-9218	2	6	by	by	ADP
app01-9218	2	7	4.0	4.0	NUM
app01-9218	2	8	licence	licence	NOUN
app01-9218	2	9	published	publish	VERB
app01-9218	2	10	by	by	ADP
app01-9218	2	11	the	the	DET
app01-9218	2	12	czech	czech	PROPN
app01-9218	2	13	technical	technical	PROPN
app01-9218	2	14	university	university	PROPN
app01-9218	2	15	in	in	ADP
app01-9218	2	16	prague	prague	PROPN
app01-9218	2	17	return	return	VERB
app01-9218	2	18	mapping	mapping	NOUN
app01-9218	2	19	scheme	scheme	NOUN
app01-9218	2	20	for	for	ADP
app01-9218	2	21	the	the	DET
app01-9218	2	22	hoek	hoek	PROPN
app01-9218	2	23	-	-	PUNCT
app01-9218	2	24	brown	brown	ADJ
app01-9218	2	25	model	model	NOUN
app01-9218	2	26	with	with	ADP
app01-9218	2	27	tension	tension	NOUN
app01-9218	2	28	cut	cut	VERB
app01-9218	2	29	-	-	PUNCT
app01-9218	2	30	off	off	ADP
app01-9218	2	31	tereza	tereza	NOUN
app01-9218	2	32	žalská∗	žalská∗	NOUN
app01-9218	2	33	,	,	PUNCT
app01-9218	2	34	michal	michal	PROPN
app01-9218	2	35	šejnoha	šejnoha	PROPN
app01-9218	2	36	czech	czech	PROPN
app01-9218	2	37	technical	technical	PROPN
app01-9218	2	38	university	university	PROPN
app01-9218	2	39	in	in	ADP
app01-9218	2	40	prague	prague	PROPN
app01-9218	2	41	,	,	PUNCT
app01-9218	2	42	faculty	faculty	NOUN
app01-9218	2	43	of	of	ADP
app01-9218	2	44	civil	civil	ADJ
app01-9218	2	45	engineering	engineering	NOUN
app01-9218	2	46	,	,	PUNCT
app01-9218	2	47	thákurova	thákurova	X
app01-9218	2	48	7	7	NUM
app01-9218	2	49	,	,	PUNCT
app01-9218	2	50	166	166	NUM
app01-9218	2	51	29	29	NUM
app01-9218	2	52	prague	prague	NOUN
app01-9218	2	53	6	6	NUM
app01-9218	2	54	,	,	PUNCT
app01-9218	2	55	czech	czech	PROPN
app01-9218	2	56	republic	republic	NOUN
app01-9218	2	57	∗	∗	NOUN
app01-9218	2	58	corresponding	correspond	VERB
app01-9218	2	59	author	author	NOUN
app01-9218	2	60	:	:	PUNCT
app01-9218	2	61	tereza.zalska@fsv.cvut.cz	tereza.zalska@fsv.cvut.cz	NOUN
app01-9218	2	62	abstract	abstract	NOUN
app01-9218	2	63	.	.	PUNCT
app01-9218	3	1	the	the	DET
app01-9218	3	2	present	present	ADJ
app01-9218	3	3	paper	paper	NOUN
app01-9218	3	4	revisits	revisit	VERB
app01-9218	3	5	a	a	DET
app01-9218	3	6	stress	stress	NOUN
app01-9218	3	7	update	update	NOUN
app01-9218	3	8	procedure	procedure	NOUN
app01-9218	3	9	for	for	ADP
app01-9218	3	10	the	the	DET
app01-9218	3	11	hoek	hoek	PROPN
app01-9218	3	12	-	-	PUNCT
app01-9218	3	13	brown	brown	PROPN
app01-9218	3	14	plasticity	plasticity	NOUN
app01-9218	3	15	model	model	NOUN
app01-9218	3	16	enhanced	enhance	VERB
app01-9218	3	17	by	by	ADP
app01-9218	3	18	a	a	DET
app01-9218	3	19	rankine	rankine	PROPN
app01-9218	3	20	type	type	NOUN
app01-9218	3	21	of	of	ADP
app01-9218	3	22	tension	tension	NOUN
app01-9218	3	23	cut	cut	VERB
app01-9218	3	24	-	-	PUNCT
app01-9218	3	25	off	off	ADP
app01-9218	3	26	failure	failure	NOUN
app01-9218	3	27	criterion	criterion	NOUN
app01-9218	3	28	.	.	PUNCT
app01-9218	4	1	limiting	limit	VERB
app01-9218	4	2	tensile	tensile	NOUN
app01-9218	4	3	stresses	stress	NOUN
app01-9218	4	4	not	not	PART
app01-9218	4	5	only	only	ADV
app01-9218	4	6	supports	support	VERB
app01-9218	4	7	the	the	DET
app01-9218	4	8	behavior	behavior	NOUN
app01-9218	4	9	of	of	ADP
app01-9218	4	10	weak	weak	ADJ
app01-9218	4	11	rock	rock	NOUN
app01-9218	4	12	masses	masse	NOUN
app01-9218	4	13	with	with	ADP
app01-9218	4	14	a	a	DET
app01-9218	4	15	very	very	ADV
app01-9218	4	16	low	low	ADJ
app01-9218	4	17	tensile	tensile	NOUN
app01-9218	4	18	strength	strength	NOUN
app01-9218	4	19	but	but	CCONJ
app01-9218	4	20	in	in	ADP
app01-9218	4	21	combination	combination	NOUN
app01-9218	4	22	with	with	ADP
app01-9218	4	23	the	the	DET
app01-9218	4	24	original	original	ADJ
app01-9218	4	25	hoek	hoek	PROPN
app01-9218	4	26	-	-	PUNCT
app01-9218	4	27	brown	brown	ADJ
app01-9218	4	28	model	model	NOUN
app01-9218	4	29	improves	improve	VERB
app01-9218	4	30	robustness	robustness	NOUN
app01-9218	4	31	of	of	ADP
app01-9218	4	32	the	the	DET
app01-9218	4	33	stress	stress	NOUN
app01-9218	4	34	update	update	NOUN
app01-9218	4	35	procedure	procedure	NOUN
app01-9218	4	36	,	,	PUNCT
app01-9218	4	37	i.e.	i.e.	X
app01-9218	4	38	the	the	DET
app01-9218	4	39	stress	stress	NOUN
app01-9218	4	40	return	return	VERB
app01-9218	4	41	mapping	mapping	NOUN
app01-9218	4	42	algorithm	algorithm	NOUN
app01-9218	4	43	.	.	PUNCT
app01-9218	5	1	herein	herein	NOUN
app01-9218	5	2	,	,	PUNCT
app01-9218	5	3	the	the	DET
app01-9218	5	4	primary	primary	ADJ
app01-9218	5	5	focus	focus	NOUN
app01-9218	5	6	is	be	AUX
app01-9218	5	7	on	on	ADP
app01-9218	5	8	the	the	DET
app01-9218	5	9	stress	stress	NOUN
app01-9218	5	10	return	return	NOUN
app01-9218	5	11	from	from	ADP
app01-9218	5	12	a	a	DET
app01-9218	5	13	space	space	NOUN
app01-9218	5	14	of	of	ADP
app01-9218	5	15	inadmissible	inadmissible	ADJ
app01-9218	5	16	trial	trial	NOUN
app01-9218	5	17	stresses	stress	NOUN
app01-9218	5	18	for	for	ADP
app01-9218	5	19	which	which	PRON
app01-9218	5	20	neither	neither	CCONJ
app01-9218	5	21	the	the	DET
app01-9218	5	22	hoek	hoek	PROPN
app01-9218	5	23	-	-	PUNCT
app01-9218	5	24	brown	brown	ADJ
app01-9218	5	25	yield	yield	NOUN
app01-9218	5	26	surface	surface	NOUN
app01-9218	5	27	nor	nor	CCONJ
app01-9218	5	28	its	its	PRON
app01-9218	5	29	derivative	derivative	NOUN
app01-9218	5	30	can	can	AUX
app01-9218	5	31	be	be	AUX
app01-9218	5	32	evaluated	evaluate	VERB
app01-9218	5	33	.	.	PUNCT
app01-9218	6	1	all	all	DET
app01-9218	6	2	potential	potential	ADJ
app01-9218	6	3	scenarios	scenario	NOUN
app01-9218	6	4	are	be	AUX
app01-9218	6	5	thoroughly	thoroughly	ADV
app01-9218	6	6	discussed	discuss	VERB
app01-9218	6	7	both	both	PRON
app01-9218	6	8	in	in	ADP
app01-9218	6	9	the	the	DET
app01-9218	6	10	framework	framework	NOUN
app01-9218	6	11	of	of	ADP
app01-9218	6	12	singleand	singleand	NOUN
app01-9218	6	13	multi	multi	ADJ
app01-9218	6	14	-	-	ADJ
app01-9218	6	15	surface	surface	ADJ
app01-9218	6	16	plasticity	plasticity	NOUN
app01-9218	6	17	.	.	PUNCT
app01-9218	7	1	the	the	DET
app01-9218	7	2	presented	present	VERB
app01-9218	7	3	procedures	procedure	NOUN
app01-9218	7	4	were	be	AUX
app01-9218	7	5	implemented	implement	VERB
app01-9218	7	6	and	and	CCONJ
app01-9218	7	7	verified	verify	VERB
app01-9218	7	8	with	with	ADP
app01-9218	7	9	the	the	DET
app01-9218	7	10	help	help	NOUN
app01-9218	7	11	of	of	ADP
app01-9218	7	12	the	the	DET
app01-9218	7	13	geo5	geo5	PROPN
app01-9218	7	14	fem	fem	PROPN
app01-9218	7	15	software	software	PROPN
app01-9218	7	16	.	.	PUNCT
app01-9218	8	1	keywords	keyword	NOUN
app01-9218	8	2	:	:	PUNCT
app01-9218	8	3	hoek	hoek	NOUN
app01-9218	8	4	-	-	PUNCT
app01-9218	8	5	brown	brown	PROPN
app01-9218	8	6	criterion	criterion	NOUN
app01-9218	8	7	,	,	PUNCT
app01-9218	8	8	rankine	rankine	PROPN
app01-9218	8	9	criterion	criterion	NOUN
app01-9218	8	10	,	,	PUNCT
app01-9218	8	11	nonlinear	nonlinear	ADJ
app01-9218	8	12	yield	yield	NOUN
app01-9218	8	13	function	function	NOUN
app01-9218	8	14	,	,	PUNCT
app01-9218	8	15	rock	rock	NOUN
app01-9218	8	16	mechanics	mechanic	NOUN
app01-9218	8	17	,	,	PUNCT
app01-9218	8	18	finite	finite	ADJ
app01-9218	8	19	element	element	NOUN
app01-9218	8	20	method	method	NOUN
app01-9218	8	21	,	,	PUNCT
app01-9218	8	22	tension	tension	NOUN
app01-9218	8	23	cut	cut	NOUN
app01-9218	8	24	-	-	PUNCT
app01-9218	8	25	off	off	NOUN
app01-9218	8	26	.	.	PUNCT
app01-9218	9	1	1	1	X
app01-9218	9	2	.	.	X
app01-9218	9	3	introduction	introduction	NOUN
app01-9218	9	4	in	in	ADP
app01-9218	9	5	geological	geological	ADJ
app01-9218	9	6	engineering	engineering	NOUN
app01-9218	9	7	,	,	PUNCT
app01-9218	9	8	shear	shear	NOUN
app01-9218	9	9	strength	strength	NOUN
app01-9218	9	10	properties	property	NOUN
app01-9218	9	11	of	of	ADP
app01-9218	9	12	the	the	DET
app01-9218	9	13	rock	rock	NOUN
app01-9218	9	14	mass	mass	NOUN
app01-9218	9	15	are	be	AUX
app01-9218	9	16	mostly	mostly	ADV
app01-9218	9	17	expressed	express	VERB
app01-9218	9	18	by	by	ADP
app01-9218	9	19	the	the	DET
app01-9218	9	20	parameters	parameter	NOUN
app01-9218	9	21	entering	enter	VERB
app01-9218	9	22	the	the	DET
app01-9218	9	23	formulation	formulation	NOUN
app01-9218	9	24	of	of	ADP
app01-9218	9	25	the	the	DET
app01-9218	9	26	hoek	hoek	NOUN
app01-9218	9	27	-	-	PUNCT
app01-9218	9	28	brown	brown	PROPN
app01-9218	9	29	(	(	PUNCT
app01-9218	9	30	hb	hb	NOUN
app01-9218	9	31	)	)	PUNCT
app01-9218	9	32	plasticity	plasticity	NOUN
app01-9218	9	33	model	model	NOUN
app01-9218	9	34	.	.	PUNCT
app01-9218	10	1	these	these	PRON
app01-9218	10	2	can	can	AUX
app01-9218	10	3	be	be	AUX
app01-9218	10	4	transformed	transform	VERB
app01-9218	10	5	into	into	ADP
app01-9218	10	6	the	the	DET
app01-9218	10	7	pair	pair	NOUN
app01-9218	10	8	of	of	ADP
app01-9218	10	9	basic	basic	ADJ
app01-9218	10	10	shear	shear	NOUN
app01-9218	10	11	strength	strength	NOUN
app01-9218	10	12	parameters	parameter	NOUN
app01-9218	10	13	,	,	PUNCT
app01-9218	10	14	i.e	i.e	NOUN
app01-9218	10	15	,	,	PUNCT
app01-9218	10	16	cohesion	cohesion	NOUN
app01-9218	10	17	c	c	NOUN
app01-9218	10	18	and	and	CCONJ
app01-9218	10	19	friction	friction	NOUN
app01-9218	10	20	angle	angle	NOUN
app01-9218	10	21	φ	φ	NOUN
app01-9218	10	22	,	,	PUNCT
app01-9218	10	23	exploiting	exploit	VERB
app01-9218	10	24	similarity	similarity	NOUN
app01-9218	10	25	between	between	ADP
app01-9218	10	26	the	the	DET
app01-9218	10	27	hoek	hoek	NOUN
app01-9218	10	28	-	-	PUNCT
app01-9218	10	29	brown	brown	PROPN
app01-9218	10	30	and	and	CCONJ
app01-9218	10	31	mohr	mohr	PROPN
app01-9218	10	32	-	-	PUNCT
app01-9218	10	33	coulomb	coulomb	PROPN
app01-9218	10	34	(	(	PUNCT
app01-9218	10	35	mc	mc	PROPN
app01-9218	10	36	)	)	PUNCT
app01-9218	10	37	yield	yield	NOUN
app01-9218	10	38	functions	function	NOUN
app01-9218	10	39	.	.	PUNCT
app01-9218	11	1	then	then	ADV
app01-9218	11	2	the	the	DET
app01-9218	11	3	numerical	numerical	ADJ
app01-9218	11	4	analysis	analysis	NOUN
app01-9218	11	5	can	can	AUX
app01-9218	11	6	be	be	AUX
app01-9218	11	7	simply	simply	ADV
app01-9218	11	8	governed	govern	VERB
app01-9218	11	9	by	by	ADP
app01-9218	11	10	the	the	DET
app01-9218	11	11	mc	mc	PROPN
app01-9218	11	12	model	model	PROPN
app01-9218	11	13	.	.	PUNCT
app01-9218	12	1	however	however	ADV
app01-9218	12	2	,	,	PUNCT
app01-9218	12	3	formulation	formulation	NOUN
app01-9218	12	4	of	of	ADP
app01-9218	12	5	the	the	DET
app01-9218	12	6	hb	hb	PROPN
app01-9218	12	7	model	model	NOUN
app01-9218	12	8	is	be	AUX
app01-9218	12	9	based	base	VERB
app01-9218	12	10	on	on	ADP
app01-9218	12	11	the	the	DET
app01-9218	12	12	assumption	assumption	NOUN
app01-9218	12	13	of	of	ADP
app01-9218	12	14	a	a	DET
app01-9218	12	15	nonlinear	nonlinear	ADJ
app01-9218	12	16	development	development	NOUN
app01-9218	12	17	of	of	ADP
app01-9218	12	18	the	the	DET
app01-9218	12	19	rock	rock	NOUN
app01-9218	12	20	mass	mass	NOUN
app01-9218	12	21	strength	strength	NOUN
app01-9218	12	22	with	with	ADP
app01-9218	12	23	increasing	increase	VERB
app01-9218	12	24	loading	loading	NOUN
app01-9218	12	25	.	.	PUNCT
app01-9218	13	1	on	on	ADP
app01-9218	13	2	the	the	DET
app01-9218	13	3	other	other	ADJ
app01-9218	13	4	hand	hand	NOUN
app01-9218	13	5	,	,	PUNCT
app01-9218	13	6	equivalent	equivalent	ADJ
app01-9218	13	7	shear	shear	NOUN
app01-9218	13	8	strength	strength	NOUN
app01-9218	13	9	parameters	parameter	NOUN
app01-9218	13	10	derived	derive	VERB
app01-9218	13	11	by	by	ADP
app01-9218	13	12	hoek	hoek	PROPN
app01-9218	13	13	and	and	CCONJ
app01-9218	13	14	brown	brown	ADJ
app01-9218	13	15	in	in	ADP
app01-9218	13	16	[	[	X
app01-9218	13	17	1	1	NUM
app01-9218	13	18	]	]	PUNCT
app01-9218	13	19	are	be	AUX
app01-9218	13	20	independent	independent	ADJ
app01-9218	13	21	of	of	ADP
app01-9218	13	22	the	the	DET
app01-9218	13	23	current	current	ADJ
app01-9218	13	24	stress	stress	NOUN
app01-9218	13	25	state	state	NOUN
app01-9218	13	26	.	.	PUNCT
app01-9218	14	1	therefore	therefore	ADV
app01-9218	14	2	,	,	PUNCT
app01-9218	14	3	this	this	DET
app01-9218	14	4	approach	approach	NOUN
app01-9218	14	5	requires	require	VERB
app01-9218	14	6	a	a	DET
app01-9218	14	7	proper	proper	ADJ
app01-9218	14	8	estimation	estimation	NOUN
app01-9218	14	9	of	of	ADP
app01-9218	14	10	the	the	DET
app01-9218	14	11	stress	stress	NOUN
app01-9218	14	12	range	range	NOUN
app01-9218	14	13	for	for	ADP
app01-9218	14	14	obtaining	obtain	VERB
app01-9218	14	15	comparable	comparable	ADJ
app01-9218	14	16	results	result	NOUN
app01-9218	14	17	,	,	PUNCT
app01-9218	14	18	see	see	VERB
app01-9218	14	19	[	[	X
app01-9218	14	20	2	2	NUM
app01-9218	14	21	]	]	PUNCT
app01-9218	14	22	.	.	PUNCT
app01-9218	15	1	in	in	ADP
app01-9218	15	2	light	light	NOUN
app01-9218	15	3	of	of	ADP
app01-9218	15	4	this	this	PRON
app01-9218	15	5	,	,	PUNCT
app01-9218	15	6	a	a	DET
app01-9218	15	7	direct	direct	ADJ
app01-9218	15	8	application	application	NOUN
app01-9218	15	9	of	of	ADP
app01-9218	15	10	the	the	DET
app01-9218	15	11	hb	hb	PROPN
app01-9218	15	12	model	model	NOUN
app01-9218	15	13	appears	appear	VERB
app01-9218	15	14	more	more	ADV
app01-9218	15	15	suitable	suitable	ADJ
app01-9218	15	16	,	,	PUNCT
app01-9218	15	17	which	which	PRON
app01-9218	15	18	also	also	ADV
app01-9218	15	19	promoted	promote	VERB
app01-9218	15	20	a	a	DET
app01-9218	15	21	recent	recent	ADJ
app01-9218	15	22	implementation	implementation	NOUN
app01-9218	15	23	of	of	ADP
app01-9218	15	24	the	the	DET
app01-9218	15	25	hb	hb	PROPN
app01-9218	15	26	model	model	NOUN
app01-9218	15	27	into	into	ADP
app01-9218	15	28	geo5	geo5	PROPN
app01-9218	15	29	fem	fem	PROPN
app01-9218	15	30	software	software	PROPN
app01-9218	16	1	[	[	X
app01-9218	16	2	3	3	NUM
app01-9218	16	3	]	]	PUNCT
app01-9218	16	4	.	.	PUNCT
app01-9218	17	1	in	in	ADP
app01-9218	17	2	a	a	DET
app01-9218	17	3	numerical	numerical	ADJ
app01-9218	17	4	solution	solution	NOUN
app01-9218	17	5	,	,	PUNCT
app01-9218	17	6	violation	violation	NOUN
app01-9218	17	7	of	of	ADP
app01-9218	17	8	the	the	DET
app01-9218	17	9	yield	yield	NOUN
app01-9218	17	10	function	function	NOUN
app01-9218	17	11	is	be	AUX
app01-9218	17	12	followed	follow	VERB
app01-9218	17	13	by	by	ADP
app01-9218	17	14	a	a	DET
app01-9218	17	15	correction	correction	NOUN
app01-9218	17	16	step	step	NOUN
app01-9218	17	17	bringing	bring	VERB
app01-9218	17	18	the	the	DET
app01-9218	17	19	stresses	stress	NOUN
app01-9218	17	20	back	back	ADV
app01-9218	17	21	to	to	ADP
app01-9218	17	22	the	the	DET
app01-9218	17	23	yield	yield	NOUN
app01-9218	17	24	surface	surface	NOUN
app01-9218	17	25	.	.	PUNCT
app01-9218	18	1	formulation	formulation	NOUN
app01-9218	18	2	of	of	ADP
app01-9218	18	3	a	a	DET
app01-9218	18	4	suitable	suitable	ADJ
app01-9218	18	5	stress	stress	NOUN
app01-9218	18	6	return	return	NOUN
app01-9218	18	7	algorithm	algorithm	NOUN
app01-9218	18	8	typically	typically	ADV
app01-9218	18	9	calls	call	VERB
app01-9218	18	10	for	for	ADP
app01-9218	18	11	the	the	DET
app01-9218	18	12	determination	determination	NOUN
app01-9218	18	13	of	of	ADP
app01-9218	18	14	the	the	DET
app01-9218	18	15	first	first	ADJ
app01-9218	18	16	derivative	derivative	NOUN
app01-9218	18	17	of	of	ADP
app01-9218	18	18	a	a	DET
app01-9218	18	19	given	give	VERB
app01-9218	18	20	yield	yield	NOUN
app01-9218	18	21	function	function	NOUN
app01-9218	18	22	.	.	PUNCT
app01-9218	19	1	point	point	VERB
app01-9218	19	2	out	out	ADP
app01-9218	19	3	that	that	SCONJ
app01-9218	19	4	the	the	DET
app01-9218	19	5	hb	hb	PROPN
app01-9218	19	6	yield	yield	NOUN
app01-9218	19	7	function	function	NOUN
app01-9218	19	8	is	be	AUX
app01-9218	19	9	not	not	PART
app01-9218	19	10	defined	define	VERB
app01-9218	19	11	for	for	ADP
app01-9218	19	12	the	the	DET
app01-9218	19	13	maximum	maximum	ADJ
app01-9218	19	14	trial	trial	NOUN
app01-9218	19	15	principal	principal	NOUN
app01-9218	19	16	stress	stress	NOUN
app01-9218	19	17	exceeding	exceed	VERB
app01-9218	19	18	the	the	DET
app01-9218	19	19	tensile	tensile	NOUN
app01-9218	19	20	strength	strength	NOUN
app01-9218	19	21	of	of	ADP
app01-9218	19	22	the	the	DET
app01-9218	19	23	rock	rock	NOUN
app01-9218	19	24	mass	mass	PROPN
app01-9218	19	25	making	make	VERB
app01-9218	19	26	the	the	DET
app01-9218	19	27	standard	standard	ADJ
app01-9218	19	28	return	return	VERB
app01-9218	19	29	mapping	mapping	NOUN
app01-9218	19	30	inapplicable	inapplicable	ADJ
app01-9218	19	31	.	.	PUNCT
app01-9218	20	1	to	to	PART
app01-9218	20	2	overcome	overcome	VERB
app01-9218	20	3	this	this	DET
app01-9218	20	4	obstacle	obstacle	NOUN
app01-9218	20	5	,	,	PUNCT
app01-9218	20	6	the	the	DET
app01-9218	20	7	present	present	ADJ
app01-9218	20	8	paper	paper	NOUN
app01-9218	20	9	introduces	introduce	VERB
app01-9218	20	10	a	a	DET
app01-9218	20	11	stress	stress	NOUN
app01-9218	20	12	update	update	NOUN
app01-9218	20	13	algorithm	algorithm	NOUN
app01-9218	20	14	that	that	PRON
app01-9218	20	15	incorporates	incorporate	VERB
app01-9218	20	16	the	the	DET
app01-9218	20	17	rankine	rankine	PROPN
app01-9218	20	18	failure	failure	NOUN
app01-9218	20	19	criterion	criterion	NOUN
app01-9218	20	20	in	in	ADP
app01-9218	20	21	conjunction	conjunction	NOUN
app01-9218	20	22	with	with	ADP
app01-9218	20	23	the	the	DET
app01-9218	20	24	hb	hb	PROPN
app01-9218	20	25	model	model	NOUN
app01-9218	20	26	when	when	SCONJ
app01-9218	20	27	moving	move	VERB
app01-9218	20	28	from	from	ADP
app01-9218	20	29	inadmissible	inadmissible	ADJ
app01-9218	20	30	to	to	ADP
app01-9218	20	31	admissible	admissible	ADJ
app01-9218	20	32	stress	stress	NOUN
app01-9218	20	33	space	space	NOUN
app01-9218	20	34	.	.	PUNCT
app01-9218	21	1	within	within	ADP
app01-9218	21	2	this	this	DET
app01-9218	21	3	concept	concept	NOUN
app01-9218	21	4	,	,	PUNCT
app01-9218	21	5	the	the	DET
app01-9218	21	6	rankine	rankine	PROPN
app01-9218	21	7	failure	failure	NOUN
app01-9218	21	8	criterion	criterion	NOUN
app01-9218	21	9	may	may	AUX
app01-9218	21	10	also	also	ADV
app01-9218	21	11	represent	represent	VERB
app01-9218	21	12	a	a	DET
app01-9218	21	13	less	less	ADJ
app01-9218	21	14	or	or	CCONJ
app01-9218	21	15	more	more	ADV
app01-9218	21	16	significant	significant	ADJ
app01-9218	21	17	reduction	reduction	NOUN
app01-9218	21	18	of	of	ADP
app01-9218	21	19	the	the	DET
app01-9218	21	20	tensile	tensile	NOUN
app01-9218	21	21	strength	strength	NOUN
app01-9218	21	22	.	.	PUNCT
app01-9218	22	1	2	2	X
app01-9218	22	2	.	.	X
app01-9218	22	3	governing	govern	VERB
app01-9218	22	4	equations	equation	NOUN
app01-9218	22	5	application	application	NOUN
app01-9218	22	6	of	of	ADP
app01-9218	22	7	the	the	DET
app01-9218	22	8	generalized	generalized	ADJ
app01-9218	22	9	hoek	hoek	PROPN
app01-9218	22	10	-	-	PUNCT
app01-9218	22	11	brown	brown	ADJ
app01-9218	22	12	criterion	criterion	NOUN
app01-9218	22	13	covers	cover	VERB
app01-9218	22	14	the	the	DET
app01-9218	22	15	whole	whole	ADJ
app01-9218	22	16	range	range	NOUN
app01-9218	22	17	of	of	ADP
app01-9218	22	18	rock	rock	NOUN
app01-9218	22	19	masses	masse	NOUN
app01-9218	22	20	from	from	ADP
app01-9218	22	21	an	an	DET
app01-9218	22	22	intact	intact	ADJ
app01-9218	22	23	one	one	NOUN
app01-9218	22	24	to	to	ADP
app01-9218	22	25	a	a	DET
app01-9218	22	26	highly	highly	ADV
app01-9218	22	27	disturbed	disturbed	ADJ
app01-9218	22	28	weak	weak	ADJ
app01-9218	22	29	rock	rock	NOUN
app01-9218	22	30	mass	mass	NOUN
app01-9218	22	31	.	.	PUNCT
app01-9218	23	1	the	the	DET
app01-9218	23	2	input	input	NOUN
app01-9218	23	3	parameters	parameter	NOUN
app01-9218	23	4	of	of	ADP
app01-9218	23	5	the	the	DET
app01-9218	23	6	hb	hb	PROPN
app01-9218	23	7	model	model	NOUN
app01-9218	23	8	are	be	AUX
app01-9218	23	9	[	[	X
app01-9218	23	10	4	4	NUM
app01-9218	23	11	]	]	SYM
app01-9218	23	12	:	:	PUNCT
app01-9218	23	13	•	•	NUM
app01-9218	23	14	uniaxial	uniaxial	ADJ
app01-9218	23	15	compressive	compressive	NOUN
app01-9218	23	16	strength	strength	NOUN
app01-9218	23	17	σci	σci	PROPN
app01-9218	23	18	and	and	CCONJ
app01-9218	23	19	hoek	hoek	PROPN
app01-9218	23	20	-	-	PUNCT
app01-9218	23	21	brown	brown	ADJ
app01-9218	23	22	constant	constant	ADJ
app01-9218	23	23	mi	mi	NOUN
app01-9218	23	24	provided	provide	VERB
app01-9218	23	25	by	by	ADP
app01-9218	23	26	series	series	NOUN
app01-9218	23	27	of	of	ADP
app01-9218	23	28	triaxial	triaxial	ADJ
app01-9218	23	29	testing	testing	NOUN
app01-9218	23	30	,	,	PUNCT
app01-9218	23	31	•	•	NUM
app01-9218	23	32	geological	geological	ADJ
app01-9218	23	33	strength	strength	NOUN
app01-9218	23	34	index	index	NOUN
app01-9218	23	35	(	(	PUNCT
app01-9218	23	36	gsi	gsi	PROPN
app01-9218	23	37	)	)	PUNCT
app01-9218	23	38	used	use	VERB
app01-9218	23	39	as	as	ADP
app01-9218	23	40	a	a	DET
app01-9218	23	41	classification	classification	NOUN
app01-9218	23	42	number	number	NOUN
app01-9218	23	43	of	of	ADP
app01-9218	23	44	the	the	DET
app01-9218	23	45	geological	geological	ADJ
app01-9218	23	46	quality	quality	NOUN
app01-9218	23	47	of	of	ADP
app01-9218	23	48	rock	rock	NOUN
app01-9218	23	49	mass	mass	PROPN
app01-9218	23	50	estimated	estimate	VERB
app01-9218	23	51	from	from	ADP
app01-9218	23	52	in	in	ADP
app01-9218	23	53	situ	situ	ADJ
app01-9218	23	54	geological	geological	ADJ
app01-9218	23	55	observation	observation	NOUN
app01-9218	23	56	,	,	PUNCT
app01-9218	23	57	•	•	NUM
app01-9218	23	58	disturbance	disturbance	NOUN
app01-9218	23	59	factor	factor	NOUN
app01-9218	24	1	d	d	NOUN
app01-9218	24	2	describing	describe	VERB
app01-9218	24	3	the	the	DET
app01-9218	24	4	rate	rate	NOUN
app01-9218	24	5	of	of	ADP
app01-9218	24	6	disturbance	disturbance	NOUN
app01-9218	24	7	by	by	ADP
app01-9218	24	8	prior	prior	ADJ
app01-9218	24	9	excavations	excavation	NOUN
app01-9218	24	10	or	or	CCONJ
app01-9218	24	11	blasting	blasting	NOUN
app01-9218	24	12	,	,	PUNCT
app01-9218	24	13	also	also	ADV
app01-9218	24	14	estimated	estimate	VERB
app01-9218	24	15	from	from	ADP
app01-9218	24	16	in	in	ADP
app01-9218	24	17	situ	situ	ADJ
app01-9218	24	18	geological	geological	ADJ
app01-9218	24	19	observation	observation	NOUN
app01-9218	24	20	.	.	PUNCT
app01-9218	25	1	the	the	DET
app01-9218	25	2	material	material	PROPN
app01-9218	25	3	constantsmb	constantsmb	PROPN
app01-9218	25	4	,	,	PUNCT
app01-9218	25	5	s	s	PART
app01-9218	25	6	and	and	CCONJ
app01-9218	25	7	a	a	DET
app01-9218	25	8	govern	govern	NOUN
app01-9218	25	9	the	the	DET
app01-9218	25	10	shape	shape	NOUN
app01-9218	25	11	of	of	ADP
app01-9218	25	12	the	the	DET
app01-9218	25	13	yield	yield	NOUN
app01-9218	25	14	surface	surface	NOUN
app01-9218	25	15	and	and	CCONJ
app01-9218	25	16	are	be	AUX
app01-9218	25	17	given	give	VERB
app01-9218	25	18	by	by	ADP
app01-9218	25	19	empirical	empirical	ADJ
app01-9218	25	20	equations	equation	NOUN
app01-9218	25	21	as	as	ADP
app01-9218	25	22	mb	mb	PROPN
app01-9218	25	23	=	=	PROPN
app01-9218	25	24	mi	mi	PROPN
app01-9218	25	25	exp	exp	PROPN
app01-9218	25	26	gsi	gsi	PROPN
app01-9218	25	27	−	−	PROPN
app01-9218	25	28	100	100	NUM
app01-9218	25	29	28	28	NUM
app01-9218	25	30	−	−	PROPN
app01-9218	25	31	14d	14d	NOUN
app01-9218	25	32	,	,	PUNCT
app01-9218	25	33	(	(	PUNCT
app01-9218	25	34	1	1	X
app01-9218	25	35	)	)	PUNCT
app01-9218	25	36	s	s	PART
app01-9218	25	37	=	=	SYM
app01-9218	25	38	exp	exp	X
app01-9218	25	39	gsi	gsi	PROPN
app01-9218	25	40	−	−	PROPN
app01-9218	25	41	100	100	NUM
app01-9218	25	42	9	9	NUM
app01-9218	25	43	−	−	PROPN
app01-9218	25	44	3d	3d	NOUN
app01-9218	25	45	,	,	PUNCT
app01-9218	25	46	(	(	PUNCT
app01-9218	25	47	2	2	X
app01-9218	25	48	)	)	PUNCT
app01-9218	25	49	a	a	DET
app01-9218	25	50	=	=	SYM
app01-9218	25	51	1	1	NUM
app01-9218	25	52	2	2	NUM
app01-9218	25	53	+	+	CCONJ
app01-9218	25	54	1	1	NUM
app01-9218	25	55	6	6	NUM
app01-9218	25	56	(	(	PUNCT
app01-9218	25	57	exp	exp	NOUN
app01-9218	25	58	−gsi	−gsi	ADJ
app01-9218	25	59	15	15	NUM
app01-9218	25	60	−	−	PROPN
app01-9218	25	61	exp	exp	NOUN
app01-9218	25	62	−20	−20	PROPN
app01-9218	25	63	3	3	NUM
app01-9218	25	64	)	)	PUNCT
app01-9218	25	65	.	.	PUNCT
app01-9218	26	1	(	(	PUNCT
app01-9218	26	2	3	3	X
app01-9218	26	3	)	)	PUNCT
app01-9218	26	4	2.1	2.1	NUM
app01-9218	26	5	.	.	PUNCT
app01-9218	27	1	hoek	hoek	NOUN
app01-9218	27	2	-	-	PUNCT
app01-9218	27	3	brown	brown	ADJ
app01-9218	27	4	yield	yield	NOUN
app01-9218	27	5	function	function	NOUN
app01-9218	27	6	assuming	assume	VERB
app01-9218	27	7	a	a	DET
app01-9218	27	8	standard	standard	ADJ
app01-9218	27	9	order	order	NOUN
app01-9218	27	10	of	of	ADP
app01-9218	27	11	principle	principle	NOUN
app01-9218	27	12	stresses	stress	VERB
app01-9218	27	13	σ1	σ1	PROPN
app01-9218	27	14	>	>	X
app01-9218	27	15	σ2	σ2	PROPN
app01-9218	27	16	>	>	X
app01-9218	27	17	σ3	σ3	PROPN
app01-9218	27	18	,	,	PUNCT
app01-9218	27	19	the	the	DET
app01-9218	27	20	generalized	generalize	VERB
app01-9218	27	21	yield	yield	NOUN
app01-9218	27	22	function	function	NOUN
app01-9218	27	23	is	be	AUX
app01-9218	27	24	defined	define	VERB
app01-9218	27	25	as	as	ADP
app01-9218	27	26	f13(σ1	f13(σ1	NOUN
app01-9218	27	27	,	,	PUNCT
app01-9218	27	28	σ3	σ3	NOUN
app01-9218	27	29	)	)	PUNCT
app01-9218	27	30	=	=	SYM
app01-9218	27	31	σ1	σ1	PROPN
app01-9218	27	32	−	−	PROPN
app01-9218	27	33	σ3	σ3	PROPN
app01-9218	27	34	−	−	PROPN
app01-9218	27	35	σci	σci	NOUN
app01-9218	27	36	(	(	PUNCT
app01-9218	27	37	s−mb	s−mb	VERB
app01-9218	27	38	σ1	σ1	PROPN
app01-9218	27	39	σci	σci	VERB
app01-9218	27	40	)	)	PUNCT
app01-9218	27	41	a	a	PRON
app01-9218	27	42	,	,	PUNCT
app01-9218	27	43	(	(	PUNCT
app01-9218	27	44	4	4	NUM
app01-9218	27	45	)	)	PUNCT
app01-9218	27	46	where	where	SCONJ
app01-9218	27	47	σ1	σ1	PROPN
app01-9218	27	48	and	and	CCONJ
app01-9218	27	49	σ3	σ3	PROPN
app01-9218	27	50	are	be	AUX
app01-9218	27	51	the	the	DET
app01-9218	27	52	maximal	maximal	ADJ
app01-9218	27	53	and	and	CCONJ
app01-9218	27	54	minimal	minimal	ADJ
app01-9218	27	55	effective	effective	ADJ
app01-9218	27	56	principal	principal	ADJ
app01-9218	27	57	stresses	stress	NOUN
app01-9218	27	58	,	,	PUNCT
app01-9218	27	59	respectively	respectively	ADV
app01-9218	27	60	.	.	PUNCT
app01-9218	28	1	unlike	unlike	ADP
app01-9218	28	2	typical	typical	ADJ
app01-9218	28	3	geotechnical	geotechnical	ADJ
app01-9218	28	4	notation	notation	NOUN
app01-9218	28	5	,	,	PUNCT
app01-9218	28	6	the	the	DET
app01-9218	28	7	compressive	compressive	ADJ
app01-9218	28	8	stresses	stress	NOUN
app01-9218	28	9	are	be	AUX
app01-9218	28	10	assumed	assume	VERB
app01-9218	28	11	negative	negative	ADJ
app01-9218	28	12	and	and	CCONJ
app01-9218	28	13	σ1	σ1	PROPN
app01-9218	28	14	has	have	VERB
app01-9218	28	15	a	a	DET
app01-9218	28	16	meaning	meaning	NOUN
app01-9218	28	17	of	of	ADP
app01-9218	28	18	confining	confine	VERB
app01-9218	28	19	117	117	NUM
app01-9218	28	20	https://doi.org/10.14311/app.2023.40.0117	https://doi.org/10.14311/app.2023.40.0117	NOUN
app01-9218	28	21	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
app01-9218	28	22	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
app01-9218	28	23	tereza	tereza	PROPN
app01-9218	28	24	žalská	žalská	NOUN
app01-9218	28	25	,	,	PUNCT
app01-9218	28	26	michal	michal	PROPN
app01-9218	28	27	šejnoha	šejnoha	PROPN
app01-9218	28	28	acta	acta	PROPN
app01-9218	28	29	polytechnica	polytechnica	PROPN
app01-9218	28	30	ctu	ctu	PROPN
app01-9218	28	31	proceedings	proceeding	NOUN
app01-9218	28	32	pressure	pressure	NOUN
app01-9218	28	33	.	.	PUNCT
app01-9218	29	1	equation	equation	NOUN
app01-9218	29	2	(	(	PUNCT
app01-9218	29	3	4	4	NUM
app01-9218	29	4	)	)	PUNCT
app01-9218	29	5	represents	represent	VERB
app01-9218	29	6	the	the	DET
app01-9218	29	7	main	main	ADJ
app01-9218	29	8	sector	sector	NOUN
app01-9218	29	9	of	of	ADP
app01-9218	29	10	the	the	DET
app01-9218	29	11	yield	yield	NOUN
app01-9218	29	12	surface	surface	NOUN
app01-9218	29	13	in	in	ADP
app01-9218	29	14	the	the	DET
app01-9218	29	15	principle	principle	ADJ
app01-9218	29	16	stress	stress	NOUN
app01-9218	29	17	space	space	NOUN
app01-9218	29	18	.	.	PUNCT
app01-9218	30	1	for	for	ADP
app01-9218	30	2	specific	specific	ADJ
app01-9218	30	3	cases	case	NOUN
app01-9218	30	4	of	of	ADP
app01-9218	30	5	triaxial	triaxial	ADJ
app01-9218	30	6	compression	compression	NOUN
app01-9218	30	7	(	(	PUNCT
app01-9218	30	8	lode	lode	PROPN
app01-9218	30	9	’s	’s	PART
app01-9218	30	10	angle	angle	NOUN
app01-9218	30	11	θ	θ	PROPN
app01-9218	30	12	=	=	SYM
app01-9218	30	13	30	30	NUM
app01-9218	30	14	◦	◦	NOUN
app01-9218	30	15	)	)	PUNCT
app01-9218	30	16	and	and	CCONJ
app01-9218	30	17	triaxial	triaxial	ADJ
app01-9218	30	18	extension	extension	NOUN
app01-9218	30	19	(	(	PUNCT
app01-9218	30	20	θ	θ	NOUN
app01-9218	30	21	=	=	SYM
app01-9218	30	22	−30	−30	NOUN
app01-9218	30	23	◦	◦	NOUN
app01-9218	30	24	)	)	PUNCT
app01-9218	30	25	two	two	NUM
app01-9218	30	26	more	more	ADJ
app01-9218	30	27	sectors	sector	NOUN
app01-9218	30	28	need	need	VERB
app01-9218	30	29	to	to	PART
app01-9218	30	30	be	be	AUX
app01-9218	30	31	considered	consider	VERB
app01-9218	30	32	.	.	PUNCT
app01-9218	31	1	these	these	PRON
app01-9218	31	2	are	be	AUX
app01-9218	31	3	defined	define	VERB
app01-9218	31	4	as	as	ADP
app01-9218	31	5	f23(σ2	f23(σ2	PROPN
app01-9218	31	6	,	,	PUNCT
app01-9218	31	7	σ3	σ3	NOUN
app01-9218	31	8	)	)	PUNCT
app01-9218	31	9	=	=	SYM
app01-9218	31	10	σ2	σ2	PROPN
app01-9218	31	11	−	−	PROPN
app01-9218	31	12	σ3	σ3	PROPN
app01-9218	31	13	−	−	PROPN
app01-9218	31	14	σci	σci	NOUN
app01-9218	31	15	(	(	PUNCT
app01-9218	31	16	s−mb	s−mb	PROPN
app01-9218	31	17	σ2	σ2	PROPN
app01-9218	31	18	σci	σci	PROPN
app01-9218	31	19	)	)	PUNCT
app01-9218	31	20	a	a	PRON
app01-9218	31	21	,	,	PUNCT
app01-9218	31	22	(	(	PUNCT
app01-9218	31	23	5	5	X
app01-9218	31	24	)	)	PUNCT
app01-9218	31	25	f12(σ1	f12(σ1	NOUN
app01-9218	31	26	,	,	PUNCT
app01-9218	31	27	σ2	σ2	NOUN
app01-9218	31	28	)	)	PUNCT
app01-9218	31	29	=	=	SYM
app01-9218	31	30	σ1	σ1	PROPN
app01-9218	31	31	−	−	PROPN
app01-9218	31	32	σ2	σ2	PROPN
app01-9218	31	33	−	−	PROPN
app01-9218	31	34	σci	σci	NOUN
app01-9218	31	35	(	(	PUNCT
app01-9218	31	36	s−mb	s−mb	VERB
app01-9218	31	37	σ1	σ1	PROPN
app01-9218	31	38	σci	σci	VERB
app01-9218	31	39	)	)	PUNCT
app01-9218	31	40	a	a	PRON
app01-9218	31	41	.	.	PUNCT
app01-9218	32	1	(	(	PUNCT
app01-9218	32	2	6	6	NUM
app01-9218	32	3	)	)	PUNCT
app01-9218	32	4	in	in	ADP
app01-9218	32	5	the	the	DET
app01-9218	32	6	principal	principal	ADJ
app01-9218	32	7	stress	stress	NOUN
app01-9218	32	8	space	space	NOUN
app01-9218	32	9	,	,	PUNCT
app01-9218	32	10	the	the	DET
app01-9218	32	11	hb	hb	PROPN
app01-9218	32	12	model	model	NOUN
app01-9218	32	13	plots	plot	NOUN
app01-9218	32	14	as	as	ADP
app01-9218	32	15	a	a	DET
app01-9218	32	16	irregular	irregular	ADJ
app01-9218	32	17	hexagonal	hexagonal	ADJ
app01-9218	32	18	pyramid	pyramid	NOUN
app01-9218	32	19	with	with	ADP
app01-9218	32	20	curved	curved	ADJ
app01-9218	32	21	edges	edge	NOUN
app01-9218	32	22	and	and	CCONJ
app01-9218	32	23	surfaces	surface	NOUN
app01-9218	32	24	,	,	PUNCT
app01-9218	32	25	see	see	VERB
app01-9218	32	26	figure	figure	NOUN
app01-9218	32	27	1	1	NUM
app01-9218	32	28	.	.	PUNCT
app01-9218	33	1	assuming	assume	VERB
app01-9218	33	2	the	the	DET
app01-9218	33	3	uniaxial	uniaxial	ADJ
app01-9218	33	4	tensile	tensile	NOUN
app01-9218	33	5	strength	strength	NOUN
app01-9218	33	6	be	be	AUX
app01-9218	33	7	equal	equal	ADJ
app01-9218	33	8	to	to	ADP
app01-9218	33	9	the	the	DET
app01-9218	33	10	biaxial	biaxial	ADJ
app01-9218	33	11	one	one	NOUN
app01-9218	33	12	(	(	PUNCT
app01-9218	33	13	σ3	σ3	NOUN
app01-9218	33	14	=	=	PROPN
app01-9218	33	15	σ1	σ1	PROPN
app01-9218	33	16	=	=	SYM
app01-9218	33	17	σt	σt	PROPN
app01-9218	33	18	)	)	PUNCT
app01-9218	33	19	yields	yield	VERB
app01-9218	33	20	the	the	DET
app01-9218	33	21	tensile	tensile	NOUN
app01-9218	33	22	strength	strength	NOUN
app01-9218	33	23	of	of	ADP
app01-9218	33	24	the	the	DET
app01-9218	33	25	rock	rock	NOUN
app01-9218	33	26	mass	mass	NOUN
app01-9218	33	27	adopting	adopt	VERB
app01-9218	33	28	equation	equation	NOUN
app01-9218	33	29	(	(	PUNCT
app01-9218	33	30	4	4	NUM
app01-9218	33	31	)	)	PUNCT
app01-9218	33	32	as	as	ADP
app01-9218	33	33	σt	σt	ADP
app01-9218	33	34	=	=	PUNCT
app01-9218	33	35	sσci	sσci	NOUN
app01-9218	33	36	mb	mb	NOUN
app01-9218	33	37	.	.	PUNCT
app01-9218	34	1	(	(	PUNCT
app01-9218	34	2	7	7	X
app01-9218	34	3	)	)	PUNCT
app01-9218	34	4	for	for	ADP
app01-9218	34	5	the	the	DET
app01-9218	34	6	intact	intact	ADJ
app01-9218	34	7	rock	rock	NOUN
app01-9218	34	8	it	it	PRON
app01-9218	34	9	holds	hold	VERB
app01-9218	34	10	gsi	gsi	PROPN
app01-9218	34	11	=	=	PROPN
app01-9218	34	12	100	100	NUM
app01-9218	34	13	which	which	PRON
app01-9218	34	14	gives	give	VERB
app01-9218	34	15	a	a	DET
app01-9218	34	16	=	=	NUM
app01-9218	34	17	0.5	0.5	NUM
app01-9218	34	18	.	.	PUNCT
app01-9218	35	1	as	as	SCONJ
app01-9218	35	2	the	the	DET
app01-9218	35	3	minimum	minimum	ADJ
app01-9218	35	4	value	value	NOUN
app01-9218	35	5	of	of	ADP
app01-9218	35	6	gsi	gsi	PROPN
app01-9218	35	7	is	be	AUX
app01-9218	35	8	equal	equal	ADJ
app01-9218	35	9	to	to	ADP
app01-9218	35	10	0	0	NUM
app01-9218	35	11	,	,	PUNCT
app01-9218	35	12	the	the	DET
app01-9218	35	13	exponent	exponent	NOUN
app01-9218	35	14	a	a	DET
app01-9218	35	15	ranges	range	NOUN
app01-9218	35	16	from	from	ADP
app01-9218	35	17	0.5	0.5	NUM
app01-9218	35	18	to	to	ADP
app01-9218	35	19	approximately	approximately	ADV
app01-9218	35	20	0.666	0.666	NUM
app01-9218	35	21	.	.	PUNCT
app01-9218	36	1	it	it	PRON
app01-9218	36	2	is	be	AUX
app01-9218	36	3	obvious	obvious	ADJ
app01-9218	36	4	that	that	SCONJ
app01-9218	36	5	setting	set	VERB
app01-9218	36	6	σmax	σmax	NOUN
app01-9218	36	7	>	>	X
app01-9218	36	8	σt	σt	ADP
app01-9218	36	9	generates	generate	VERB
app01-9218	36	10	singularity	singularity	NOUN
app01-9218	36	11	in	in	ADP
app01-9218	36	12	eqautions	eqaution	NOUN
app01-9218	36	13	(	(	PUNCT
app01-9218	36	14	4)–(6	4)–(6	NUM
app01-9218	36	15	)	)	PUNCT
app01-9218	36	16	.	.	PUNCT
app01-9218	37	1	the	the	DET
app01-9218	37	2	yield	yield	NOUN
app01-9218	37	3	condition	condition	NOUN
app01-9218	37	4	is	be	AUX
app01-9218	37	5	not	not	PART
app01-9218	37	6	defined	define	VERB
app01-9218	37	7	beyond	beyond	ADP
app01-9218	37	8	the	the	DET
app01-9218	37	9	apex	apex	NOUN
app01-9218	37	10	and	and	CCONJ
app01-9218	37	11	hence	hence	ADV
app01-9218	37	12	it	it	PRON
app01-9218	37	13	can	can	AUX
app01-9218	37	14	not	not	PART
app01-9218	37	15	be	be	AUX
app01-9218	37	16	evaluated	evaluate	VERB
app01-9218	37	17	.	.	PUNCT
app01-9218	38	1	σm	σm	PROPN
app01-9218	38	2	σ2	σ2	PROPN
app01-9218	38	3	σ3	σ3	PROPN
app01-9218	38	4	σ1	σ1	PROPN
app01-9218	38	5	figure	figure	NOUN
app01-9218	38	6	1	1	NUM
app01-9218	38	7	.	.	PUNCT
app01-9218	38	8	hoek	hoek	NOUN
app01-9218	38	9	-	-	PUNCT
app01-9218	38	10	brown	brown	PROPN
app01-9218	38	11	yield	yield	NOUN
app01-9218	38	12	surface	surface	NOUN
app01-9218	38	13	plotted	plot	VERB
app01-9218	38	14	in	in	ADP
app01-9218	38	15	principal	principal	ADJ
app01-9218	38	16	stress	stress	NOUN
app01-9218	38	17	space	space	NOUN
app01-9218	38	18	.	.	PUNCT
app01-9218	39	1	expressing	express	VERB
app01-9218	39	2	the	the	DET
app01-9218	39	3	yield	yield	NOUN
app01-9218	39	4	function	function	NOUN
app01-9218	39	5	in	in	ADP
app01-9218	39	6	terms	term	NOUN
app01-9218	39	7	of	of	ADP
app01-9218	39	8	stress	stress	NOUN
app01-9218	39	9	invariants	invariant	NOUN
app01-9218	39	10	,	,	PUNCT
app01-9218	39	11	i.e.	i.e.	X
app01-9218	39	12	,	,	PUNCT
app01-9218	39	13	the	the	DET
app01-9218	39	14	mean	mean	ADJ
app01-9218	39	15	stress	stress	NOUN
app01-9218	39	16	σm	σm	NOUN
app01-9218	39	17	,	,	PUNCT
app01-9218	39	18	the	the	DET
app01-9218	39	19	deviatoric	deviatoric	ADJ
app01-9218	39	20	stress	stress	NOUN
app01-9218	39	21	measure	measure	NOUN
app01-9218	39	22	j	j	PROPN
app01-9218	39	23	and	and	CCONJ
app01-9218	39	24	the	the	DET
app01-9218	39	25	lode	lode	PROPN
app01-9218	39	26	’s	’s	PART
app01-9218	39	27	angle	angle	NOUN
app01-9218	39	28	θ	θ	PROPN
app01-9218	39	29	gives	give	VERB
app01-9218	39	30	fhb(σm	fhb(σm	PROPN
app01-9218	39	31	,	,	PUNCT
app01-9218	39	32	j	j	NOUN
app01-9218	39	33	,	,	PUNCT
app01-9218	39	34	θ	θ	PROPN
app01-9218	39	35	)	)	PUNCT
app01-9218	39	36	=	=	SYM
app01-9218	39	37	(	(	PUNCT
app01-9218	39	38	2j	2j	X
app01-9218	39	39	cos	cos	ADP
app01-9218	39	40	θ)1	θ)1	PROPN
app01-9218	39	41	/	/	SYM
app01-9218	39	42	a	a	DET
app01-9218	39	43	−	−	NOUN
app01-9218	39	44	sσ	sσ	NOUN
app01-9218	39	45	1	1	NUM
app01-9218	39	46	/	/	SYM
app01-9218	39	47	a	a	DET
app01-9218	39	48	ci	ci	NOUN
app01-9218	40	1	+	+	CCONJ
app01-9218	40	2	+	+	CCONJ
app01-9218	40	3	(	(	PUNCT
app01-9218	40	4	cos	cos	ADP
app01-9218	40	5	θ	θ	PROPN
app01-9218	40	6	−	−	PROPN
app01-9218	40	7	sin	sin	NOUN
app01-9218	40	8	θ√	θ√	PROPN
app01-9218	40	9	3	3	NUM
app01-9218	40	10	)	)	PUNCT
app01-9218	40	11	mbjσ	mbjσ	NOUN
app01-9218	40	12	1	1	NUM
app01-9218	40	13	/	/	SYM
app01-9218	40	14	a−1	a−1	PROPN
app01-9218	40	15	ci	ci	NOUN
app01-9218	41	1	+	+	NOUN
app01-9218	41	2	mbσmσ	mbσmσ	NOUN
app01-9218	41	3	1	1	NUM
app01-9218	41	4	/	/	SYM
app01-9218	41	5	a−1	a−1	PROPN
app01-9218	41	6	ci	ci	PROPN
app01-9218	41	7	.	.	PUNCT
app01-9218	42	1	(	(	PUNCT
app01-9218	42	2	8)	8)	NUM
app01-9218	42	3	note	note	VERB
app01-9218	42	4	that	that	SCONJ
app01-9218	42	5	formulation	formulation	NOUN
app01-9218	42	6	(	(	PUNCT
app01-9218	42	7	8)	8)	NUM
app01-9218	42	8	is	be	AUX
app01-9218	42	9	not	not	PART
app01-9218	42	10	suitable	suitable	ADJ
app01-9218	42	11	for	for	ADP
app01-9218	42	12	the	the	DET
app01-9218	42	13	complex	complex	ADJ
app01-9218	42	14	return	return	NOUN
app01-9218	42	15	mapping	mapping	NOUN
app01-9218	42	16	procedure	procedure	NOUN
app01-9218	42	17	,	,	PUNCT
app01-9218	42	18	as	as	ADP
app01-9218	42	19	the	the	DET
app01-9218	42	20	derivative	derivative	NOUN
app01-9218	42	21	of	of	ADP
app01-9218	42	22	the	the	DET
app01-9218	42	23	yield	yield	NOUN
app01-9218	42	24	surface	surface	NOUN
app01-9218	42	25	along	along	ADP
app01-9218	42	26	the	the	DET
app01-9218	42	27	triaxial	triaxial	ADJ
app01-9218	42	28	compression	compression	NOUN
app01-9218	42	29	and	and	CCONJ
app01-9218	42	30	triaxial	triaxial	ADJ
app01-9218	42	31	extension	extension	NOUN
app01-9218	42	32	edges	edge	NOUN
app01-9218	42	33	(	(	PUNCT
app01-9218	42	34	lode	lode	PROPN
app01-9218	42	35	’s	’s	PART
app01-9218	42	36	angle	angle	NOUN
app01-9218	42	37	θ	θ	PROPN
app01-9218	42	38	=	=	SYM
app01-9218	42	39	±30	±30	X
app01-9218	42	40	◦	◦	NOUN
app01-9218	42	41	,	,	PUNCT
app01-9218	42	42	respectively	respectively	ADV
app01-9218	42	43	)	)	PUNCT
app01-9218	42	44	is	be	AUX
app01-9218	42	45	singular	singular	ADJ
app01-9218	42	46	,	,	PUNCT
app01-9218	42	47	see	see	VERB
app01-9218	42	48	[	[	X
app01-9218	42	49	5	5	X
app01-9218	42	50	]	]	PUNCT
app01-9218	42	51	with	with	ADP
app01-9218	42	52	reference	reference	NOUN
app01-9218	42	53	to	to	ADP
app01-9218	42	54	the	the	DET
app01-9218	42	55	mc	mc	PROPN
app01-9218	42	56	model	model	NOUN
app01-9218	42	57	.	.	PUNCT
app01-9218	43	1	2.2	2.2	NUM
app01-9218	43	2	.	.	PUNCT
app01-9218	44	1	plastic	plastic	ADJ
app01-9218	44	2	potential	potential	ADJ
app01-9218	44	3	plastic	plastic	ADJ
app01-9218	44	4	potential	potential	ADJ
app01-9218	44	5	functions	function	NOUN
app01-9218	44	6	are	be	AUX
app01-9218	44	7	formulated	formulate	VERB
app01-9218	44	8	on	on	ADP
app01-9218	44	9	the	the	DET
app01-9218	44	10	basis	basis	NOUN
app01-9218	44	11	of	of	ADP
app01-9218	44	12	the	the	DET
app01-9218	44	13	mc	mc	PROPN
app01-9218	44	14	yield	yield	NOUN
app01-9218	44	15	criterion	criterion	NOUN
app01-9218	44	16	as	as	ADP
app01-9218	44	17	g13(σ1	g13(σ1	PROPN
app01-9218	44	18	,	,	PUNCT
app01-9218	44	19	σ3	σ3	NOUN
app01-9218	44	20	)	)	PUNCT
app01-9218	44	21	=	=	SYM
app01-9218	44	22	σ1	σ1	NOUN
app01-9218	44	23	1	1	NUM
app01-9218	44	24	+	+	CCONJ
app01-9218	44	25	sinψ	sinψ	NOUN
app01-9218	44	26	1	1	NUM
app01-9218	44	27	−	−	PROPN
app01-9218	44	28	sinψ	sinψ	NOUN
app01-9218	44	29	−	−	PROPN
app01-9218	44	30	σ3	σ3	PROPN
app01-9218	44	31	,	,	PUNCT
app01-9218	44	32	(	(	PUNCT
app01-9218	44	33	9	9	NUM
app01-9218	44	34	)	)	PUNCT
app01-9218	44	35	g23(σ2	g23(σ2	PROPN
app01-9218	44	36	,	,	PUNCT
app01-9218	44	37	σ3	σ3	NOUN
app01-9218	44	38	)	)	PUNCT
app01-9218	44	39	=	=	SYM
app01-9218	44	40	σ2	σ2	NOUN
app01-9218	44	41	1	1	NUM
app01-9218	44	42	+	+	CCONJ
app01-9218	44	43	sinψ	sinψ	NOUN
app01-9218	44	44	1	1	NUM
app01-9218	44	45	−	−	PROPN
app01-9218	44	46	sinψ	sinψ	NOUN
app01-9218	44	47	−	−	PROPN
app01-9218	44	48	σ3	σ3	PROPN
app01-9218	44	49	,	,	PUNCT
app01-9218	44	50	(	(	PUNCT
app01-9218	44	51	10	10	NUM
app01-9218	44	52	)	)	PUNCT
app01-9218	44	53	g12(σ1	g12(σ1	NOUN
app01-9218	44	54	,	,	PUNCT
app01-9218	44	55	σ2	σ2	NOUN
app01-9218	44	56	)	)	PUNCT
app01-9218	44	57	=	=	SYM
app01-9218	44	58	σ1	σ1	NOUN
app01-9218	44	59	1	1	NUM
app01-9218	44	60	+	+	CCONJ
app01-9218	44	61	sinψ	sinψ	NOUN
app01-9218	44	62	1	1	NUM
app01-9218	44	63	−	−	PROPN
app01-9218	44	64	sinψ	sinψ	NOUN
app01-9218	44	65	−	−	PROPN
app01-9218	44	66	σ2	σ2	PROPN
app01-9218	44	67	,	,	PUNCT
app01-9218	44	68	(	(	PUNCT
app01-9218	44	69	11	11	NUM
app01-9218	44	70	)	)	PUNCT
app01-9218	44	71	where	where	SCONJ
app01-9218	44	72	ψ	ψ	NOUN
app01-9218	44	73	is	be	AUX
app01-9218	44	74	well	well	ADV
app01-9218	44	75	known	know	VERB
app01-9218	44	76	dilation	dilation	NOUN
app01-9218	44	77	angle	angle	NOUN
app01-9218	44	78	.	.	PUNCT
app01-9218	45	1	constant	constant	ADJ
app01-9218	45	2	rate	rate	NOUN
app01-9218	45	3	of	of	ADP
app01-9218	45	4	dilation	dilation	NOUN
app01-9218	45	5	is	be	AUX
app01-9218	45	6	assumed	assume	VERB
app01-9218	45	7	in	in	ADP
app01-9218	45	8	the	the	DET
app01-9218	45	9	present	present	ADJ
app01-9218	45	10	formulation	formulation	NOUN
app01-9218	45	11	.	.	PUNCT
app01-9218	46	1	vectors	vector	NOUN
app01-9218	46	2	normal	normal	ADJ
app01-9218	46	3	to	to	ADP
app01-9218	46	4	the	the	DET
app01-9218	46	5	plastic	plastic	ADJ
app01-9218	46	6	potential	potential	ADJ
app01-9218	46	7	surfaces	surface	NOUN
app01-9218	46	8	governing	govern	VERB
app01-9218	46	9	the	the	DET
app01-9218	46	10	direction	direction	NOUN
app01-9218	46	11	of	of	ADP
app01-9218	46	12	the	the	DET
app01-9218	46	13	plastic	plastic	NOUN
app01-9218	46	14	yielding	yielding	NOUN
app01-9218	46	15	are	be	AUX
app01-9218	46	16	therefore	therefore	ADV
app01-9218	46	17	independent	independent	ADJ
app01-9218	46	18	of	of	ADP
app01-9218	46	19	the	the	DET
app01-9218	46	20	current	current	ADJ
app01-9218	46	21	stresses	stress	NOUN
app01-9218	46	22	and	and	CCONJ
app01-9218	46	23	take	take	VERB
app01-9218	46	24	the	the	DET
app01-9218	46	25	form	form	NOUN
app01-9218	46	26	n1	n1	NOUN
app01-9218	46	27	g	g	NOUN
app01-9218	46	28	=	=	PUNCT
app01-9218	46	29	{	{	PUNCT
app01-9218	47	1	1	1	NUM
app01-9218	47	2	+	+	CCONJ
app01-9218	47	3	sinψ	sinψ	NOUN
app01-9218	47	4	1	1	NUM
app01-9218	47	5	−	−	PROPN
app01-9218	47	6	sinψ	sinψ	NOUN
app01-9218	47	7	;	;	PUNCT
app01-9218	47	8	0	0	NUM
app01-9218	47	9	;	;	PUNCT
app01-9218	47	10	−1	−1	NOUN
app01-9218	47	11	}	}	PUNCT
app01-9218	47	12	t	t	PROPN
app01-9218	47	13	,	,	PUNCT
app01-9218	47	14	(	(	PUNCT
app01-9218	47	15	12	12	NUM
app01-9218	47	16	)	)	PUNCT
app01-9218	47	17	n2	n2	NOUN
app01-9218	47	18	g	g	NOUN
app01-9218	47	19	=	=	PUNCT
app01-9218	47	20	{	{	PUNCT
app01-9218	47	21	0	0	NUM
app01-9218	47	22	;	;	PUNCT
app01-9218	47	23	1	1	NUM
app01-9218	47	24	+	+	CCONJ
app01-9218	47	25	sinψ	sinψ	NOUN
app01-9218	47	26	1	1	NUM
app01-9218	47	27	−	−	PROPN
app01-9218	47	28	sinψ	sinψ	NOUN
app01-9218	47	29	;	;	PUNCT
app01-9218	47	30	−1	−1	NOUN
app01-9218	47	31	}	}	PUNCT
app01-9218	47	32	t	t	PROPN
app01-9218	47	33	,	,	PUNCT
app01-9218	47	34	(	(	PUNCT
app01-9218	47	35	13	13	NUM
app01-9218	47	36	)	)	PUNCT
app01-9218	47	37	n3	n3	NOUN
app01-9218	47	38	g	g	NOUN
app01-9218	47	39	=	=	PUNCT
app01-9218	47	40	{	{	PUNCT
app01-9218	47	41	1	1	NUM
app01-9218	47	42	+	+	CCONJ
app01-9218	47	43	sinψ	sinψ	NOUN
app01-9218	47	44	1	1	NUM
app01-9218	47	45	−	−	PROPN
app01-9218	47	46	sinψ	sinψ	NOUN
app01-9218	47	47	;	;	PUNCT
app01-9218	47	48	−1	−1	NOUN
app01-9218	47	49	;	;	PUNCT
app01-9218	47	50	0	0	NUM
app01-9218	47	51	}	}	PUNCT
app01-9218	47	52	t.	t.	NOUN
app01-9218	47	53	(	(	PUNCT
app01-9218	47	54	14	14	NUM
app01-9218	47	55	)	)	PUNCT
app01-9218	47	56	more	more	ADV
app01-9218	47	57	advanced	advanced	ADJ
app01-9218	47	58	formulations	formulation	NOUN
app01-9218	47	59	of	of	ADP
app01-9218	47	60	the	the	DET
app01-9218	47	61	potential	potential	ADJ
app01-9218	47	62	functions	function	NOUN
app01-9218	47	63	are	be	AUX
app01-9218	47	64	also	also	ADV
app01-9218	47	65	available	available	ADJ
app01-9218	47	66	in	in	ADP
app01-9218	47	67	literature	literature	NOUN
app01-9218	47	68	,	,	PUNCT
app01-9218	47	69	see	see	VERB
app01-9218	47	70	,	,	PUNCT
app01-9218	47	71	e.g.	e.g.	ADV
app01-9218	47	72	,	,	PUNCT
app01-9218	47	73	carranzatorres	carranzatorre	NOUN
app01-9218	47	74	and	and	CCONJ
app01-9218	47	75	fairhurst	fairhurst	ADJ
app01-9218	48	1	[	[	X
app01-9218	48	2	6	6	NUM
app01-9218	48	3	]	]	PUNCT
app01-9218	48	4	who	who	PRON
app01-9218	48	5	proposed	propose	VERB
app01-9218	48	6	the	the	DET
app01-9218	48	7	plastic	plastic	ADJ
app01-9218	48	8	potential	potential	ADJ
app01-9218	48	9	function	function	NOUN
app01-9218	48	10	based	base	VERB
app01-9218	48	11	on	on	ADP
app01-9218	48	12	the	the	DET
app01-9218	48	13	mobilized	mobilize	VERB
app01-9218	48	14	value	value	NOUN
app01-9218	48	15	of	of	ADP
app01-9218	48	16	the	the	DET
app01-9218	48	17	dilation	dilation	NOUN
app01-9218	48	18	angle	angle	NOUN
app01-9218	48	19	ψmob	ψmob	NOUN
app01-9218	48	20	depending	depend	VERB
app01-9218	48	21	on	on	ADP
app01-9218	48	22	current	current	ADJ
app01-9218	48	23	stress	stress	NOUN
app01-9218	48	24	state	state	NOUN
app01-9218	48	25	.	.	PUNCT
app01-9218	49	1	however	however	ADV
app01-9218	49	2	,	,	PUNCT
app01-9218	49	3	such	such	ADJ
app01-9218	49	4	formulations	formulation	NOUN
app01-9218	49	5	go	go	VERB
app01-9218	49	6	beyond	beyond	ADP
app01-9218	49	7	the	the	DET
app01-9218	49	8	present	present	ADJ
app01-9218	49	9	scope	scope	NOUN
app01-9218	49	10	.	.	PUNCT
app01-9218	50	1	2.3	2.3	NUM
app01-9218	50	2	.	.	PUNCT
app01-9218	51	1	rankine	rankine	PROPN
app01-9218	51	2	yield	yield	NOUN
app01-9218	51	3	function	function	NOUN
app01-9218	51	4	yield	yield	NOUN
app01-9218	51	5	surfaces	surface	NOUN
app01-9218	51	6	of	of	ADP
app01-9218	51	7	the	the	DET
app01-9218	51	8	rankine	rankine	PROPN
app01-9218	51	9	type	type	NOUN
app01-9218	51	10	are	be	AUX
app01-9218	51	11	often	often	ADV
app01-9218	51	12	used	use	VERB
app01-9218	51	13	as	as	ADP
app01-9218	51	14	the	the	DET
app01-9218	51	15	additional	additional	ADJ
app01-9218	51	16	tension	tension	NOUN
app01-9218	51	17	cut	cut	VERB
app01-9218	51	18	-	-	PUNCT
app01-9218	51	19	off	off	ADP
app01-9218	51	20	surfaces	surface	NOUN
app01-9218	51	21	.	.	PUNCT
app01-9218	52	1	the	the	DET
app01-9218	52	2	model	model	NOUN
app01-9218	52	3	assumes	assume	VERB
app01-9218	52	4	the	the	DET
app01-9218	52	5	material	material	NOUN
app01-9218	52	6	to	to	PART
app01-9218	52	7	be	be	AUX
app01-9218	52	8	isotropic	isotropic	ADJ
app01-9218	52	9	and	and	CCONJ
app01-9218	52	10	unlike	unlike	ADP
app01-9218	52	11	the	the	DET
app01-9218	52	12	hb	hb	PROPN
app01-9218	52	13	model	model	NOUN
app01-9218	52	14	,	,	PUNCT
app01-9218	52	15	the	the	DET
app01-9218	52	16	stress	stress	NOUN
app01-9218	52	17	return	return	NOUN
app01-9218	52	18	mapping	mapping	NOUN
app01-9218	52	19	is	be	AUX
app01-9218	52	20	in	in	ADP
app01-9218	52	21	general	general	ADJ
app01-9218	52	22	driven	drive	VERB
app01-9218	52	23	by	by	ADP
app01-9218	52	24	an	an	DET
app01-9218	52	25	associated	associated	ADJ
app01-9218	52	26	flow	flow	NOUN
app01-9218	52	27	rule	rule	NOUN
app01-9218	52	28	.	.	PUNCT
app01-9218	53	1	the	the	DET
app01-9218	53	2	rankine	rankine	PROPN
app01-9218	53	3	yield	yield	NOUN
app01-9218	53	4	surfaces	surface	NOUN
app01-9218	53	5	are	be	AUX
app01-9218	53	6	defined	define	VERB
app01-9218	53	7	as	as	ADP
app01-9218	53	8	t1(σ1	t1(σ1	NOUN
app01-9218	53	9	,	,	PUNCT
app01-9218	53	10	σt	σt	ADP
app01-9218	53	11	)	)	PUNCT
app01-9218	53	12	=	=	SYM
app01-9218	53	13	σ1	σ1	PROPN
app01-9218	53	14	−	−	PROPN
app01-9218	53	15	σt	σt	NOUN
app01-9218	53	16	,	,	PUNCT
app01-9218	53	17	(	(	PUNCT
app01-9218	53	18	15	15	NUM
app01-9218	53	19	)	)	PUNCT
app01-9218	53	20	t2(σ2	t2(σ2	NUM
app01-9218	53	21	,	,	PUNCT
app01-9218	53	22	σt	σt	ADP
app01-9218	53	23	)	)	PUNCT
app01-9218	53	24	=	=	SYM
app01-9218	53	25	σ2	σ2	PROPN
app01-9218	53	26	−	−	PROPN
app01-9218	53	27	σt	σt	NOUN
app01-9218	53	28	,	,	PUNCT
app01-9218	53	29	(	(	PUNCT
app01-9218	53	30	16	16	NUM
app01-9218	53	31	)	)	PUNCT
app01-9218	53	32	t3(σ3	t3(σ3	NOUN
app01-9218	53	33	,	,	PUNCT
app01-9218	53	34	σt	σt	ADP
app01-9218	53	35	)	)	PUNCT
app01-9218	53	36	=	=	SYM
app01-9218	53	37	σ3	σ3	PROPN
app01-9218	53	38	−	−	PROPN
app01-9218	53	39	σt	σt	NOUN
app01-9218	53	40	,	,	PUNCT
app01-9218	53	41	(	(	PUNCT
app01-9218	53	42	17	17	NUM
app01-9218	53	43	)	)	PUNCT
app01-9218	53	44	where	where	SCONJ
app01-9218	53	45	σt	σt	ADP
app01-9218	53	46	≤	≤	NUM
app01-9218	53	47	σt	σt	NOUN
app01-9218	53	48	is	be	AUX
app01-9218	53	49	the	the	DET
app01-9218	53	50	prescribed	prescribed	ADJ
app01-9218	53	51	tensile	tensile	NOUN
app01-9218	53	52	strength	strength	NOUN
app01-9218	53	53	.	.	PUNCT
app01-9218	54	1	the	the	DET
app01-9218	54	2	vectors	vector	NOUN
app01-9218	54	3	normal	normal	ADJ
app01-9218	54	4	to	to	ADP
app01-9218	54	5	individual	individual	ADJ
app01-9218	54	6	sectors	sector	NOUN
app01-9218	54	7	of	of	ADP
app01-9218	54	8	the	the	DET
app01-9218	54	9	yield	yield	NOUN
app01-9218	54	10	surface	surface	NOUN
app01-9218	54	11	are	be	AUX
app01-9218	54	12	for	for	ADP
app01-9218	54	13	the	the	DET
app01-9218	54	14	assumed	assume	VERB
app01-9218	54	15	associated	associate	VERB
app01-9218	54	16	flow	flow	NOUN
app01-9218	54	17	rule	rule	NOUN
app01-9218	54	18	given	give	VERB
app01-9218	54	19	by	by	ADP
app01-9218	54	20	n1	n1	PROPN
app01-9218	54	21	t	t	NOUN
app01-9218	54	22	=	=	SYM
app01-9218	54	23	{	{	PUNCT
app01-9218	54	24	1	1	NUM
app01-9218	54	25	;	;	PUNCT
app01-9218	54	26	0	0	NUM
app01-9218	54	27	;	;	PUNCT
app01-9218	54	28	0	0	NUM
app01-9218	54	29	}	}	SYM
app01-9218	54	30	t	t	PROPN
app01-9218	54	31	,	,	PUNCT
app01-9218	54	32	(	(	PUNCT
app01-9218	54	33	18	18	NUM
app01-9218	54	34	)	)	PUNCT
app01-9218	54	35	n2	n2	NOUN
app01-9218	54	36	t	t	NOUN
app01-9218	54	37	=	=	PUNCT
app01-9218	54	38	{	{	PUNCT
app01-9218	54	39	0	0	NUM
app01-9218	54	40	;	;	PUNCT
app01-9218	54	41	1	1	NUM
app01-9218	54	42	;	;	PUNCT
app01-9218	54	43	0	0	NUM
app01-9218	54	44	}	}	SYM
app01-9218	54	45	t	t	PROPN
app01-9218	54	46	,	,	PUNCT
app01-9218	54	47	(	(	PUNCT
app01-9218	54	48	19	19	NUM
app01-9218	54	49	)	)	PUNCT
app01-9218	54	50	n3	n3	NOUN
app01-9218	54	51	t	t	NOUN
app01-9218	54	52	=	=	PUNCT
app01-9218	54	53	{	{	PUNCT
app01-9218	54	54	0	0	NUM
app01-9218	54	55	;	;	PUNCT
app01-9218	54	56	0	0	NUM
app01-9218	54	57	;	;	PUNCT
app01-9218	54	58	1	1	NUM
app01-9218	54	59	}	}	PUNCT
app01-9218	54	60	t.	t.	NOUN
app01-9218	54	61	(	(	PUNCT
app01-9218	54	62	20	20	NUM
app01-9218	54	63	)	)	PUNCT
app01-9218	54	64	note	note	NOUN
app01-9218	54	65	that	that	SCONJ
app01-9218	54	66	apart	apart	ADV
app01-9218	54	67	from	from	ADP
app01-9218	54	68	a	a	DET
app01-9218	54	69	physically	physically	ADV
app01-9218	54	70	accepted	accept	VERB
app01-9218	54	71	reduction	reduction	NOUN
app01-9218	54	72	of	of	ADP
app01-9218	54	73	a	a	DET
app01-9218	54	74	tensile	tensile	NOUN
app01-9218	54	75	stress	stress	NOUN
app01-9218	54	76	σt	σt	ADP
app01-9218	54	77	,	,	PUNCT
app01-9218	54	78	recall	recall	NOUN
app01-9218	54	79	equation	equation	NOUN
app01-9218	54	80	(	(	PUNCT
app01-9218	54	81	7	7	NUM
app01-9218	54	82	)	)	PUNCT
app01-9218	54	83	,	,	PUNCT
app01-9218	54	84	the	the	DET
app01-9218	54	85	return	return	NOUN
app01-9218	54	86	to	to	ADP
app01-9218	54	87	the	the	DET
app01-9218	54	88	rankine	rankine	PROPN
app01-9218	54	89	yield	yield	NOUN
app01-9218	54	90	surface	surface	NOUN
app01-9218	54	91	will	will	AUX
app01-9218	54	92	be	be	AUX
app01-9218	54	93	adopted	adopt	VERB
app01-9218	54	94	as	as	ADP
app01-9218	54	95	an	an	DET
app01-9218	54	96	intermediate	intermediate	ADJ
app01-9218	54	97	step	step	NOUN
app01-9218	54	98	when	when	SCONJ
app01-9218	54	99	an	an	DET
app01-9218	54	100	attempt	attempt	NOUN
app01-9218	54	101	to	to	PART
app01-9218	54	102	return	return	VERB
app01-9218	54	103	to	to	ADP
app01-9218	54	104	the	the	DET
app01-9218	54	105	hb	hb	PROPN
app01-9218	54	106	yield	yield	NOUN
app01-9218	54	107	function	function	NOUN
app01-9218	54	108	is	be	AUX
app01-9218	54	109	made	make	VERB
app01-9218	54	110	from	from	ADP
app01-9218	54	111	an	an	DET
app01-9218	54	112	inadmissible	inadmissible	ADJ
app01-9218	54	113	trial	trial	NOUN
app01-9218	54	114	118	118	NUM
app01-9218	54	115	vol	vol	NOUN
app01-9218	54	116	.	.	PUNCT
app01-9218	55	1	40/2023	40/2023	PROPN
app01-9218	55	2	hoek	hoek	PROPN
app01-9218	55	3	-	-	PUNCT
app01-9218	55	4	brown	brown	ADJ
app01-9218	55	5	plasticity	plasticity	NOUN
app01-9218	55	6	model	model	NOUN
app01-9218	55	7	with	with	ADP
app01-9218	55	8	tension	tension	NOUN
app01-9218	55	9	cut	cut	VERB
app01-9218	55	10	-	-	PUNCT
app01-9218	55	11	off	off	ADP
app01-9218	55	12	stress	stress	NOUN
app01-9218	55	13	space1	space1	PROPN
app01-9218	55	14	.	.	PUNCT
app01-9218	56	1	to	to	PART
app01-9218	56	2	avoid	avoid	VERB
app01-9218	56	3	failing	fail	VERB
app01-9218	56	4	the	the	DET
app01-9218	56	5	return	return	NOUN
app01-9218	56	6	process	process	NOUN
app01-9218	56	7	we	we	PRON
app01-9218	56	8	consider	consider	VERB
app01-9218	56	9	an	an	DET
app01-9218	56	10	upper	upper	ADJ
app01-9218	56	11	limit	limit	NOUN
app01-9218	56	12	of	of	ADP
app01-9218	56	13	the	the	DET
app01-9218	56	14	tensile	tensile	NOUN
app01-9218	56	15	strength	strength	NOUN
app01-9218	56	16	σmax	σmax	NOUN
app01-9218	56	17	t	t	PROPN
app01-9218	56	18	=	=	PUNCT
app01-9218	56	19	σt	σt	ADP
app01-9218	56	20	−	−	PROPN
app01-9218	56	21	σ∗	σ∗	NOUN
app01-9218	56	22	where	where	SCONJ
app01-9218	56	23	σ∗	σ∗	NOUN
app01-9218	56	24	=	=	SYM
app01-9218	56	25	1	1	NUM
app01-9218	56	26	kpa	kpa	NOUN
app01-9218	56	27	is	be	AUX
app01-9218	56	28	assumed	assume	VERB
app01-9218	56	29	in	in	ADP
app01-9218	56	30	geo5	geo5	PROPN
app01-9218	56	31	fem	fem	PROPN
app01-9218	56	32	.	.	PUNCT
app01-9218	57	1	for	for	ADP
app01-9218	57	2	the	the	DET
app01-9218	57	3	sake	sake	NOUN
app01-9218	57	4	of	of	ADP
app01-9218	57	5	completeness	completeness	NOUN
app01-9218	57	6	we	we	PRON
app01-9218	57	7	present	present	VERB
app01-9218	57	8	the	the	DET
app01-9218	57	9	rankine	rankine	PROPN
app01-9218	57	10	yield	yield	NOUN
app01-9218	57	11	function	function	NOUN
app01-9218	57	12	,	,	PUNCT
app01-9218	57	13	which	which	PRON
app01-9218	57	14	plots	plot	VERB
app01-9218	57	15	as	as	ADP
app01-9218	57	16	a	a	DET
app01-9218	57	17	regular	regular	ADJ
app01-9218	57	18	triangular	triangular	NOUN
app01-9218	57	19	pyramid	pyramid	NOUN
app01-9218	57	20	in	in	ADP
app01-9218	57	21	the	the	DET
app01-9218	57	22	principal	principal	ADJ
app01-9218	57	23	stress	stress	NOUN
app01-9218	57	24	space	space	NOUN
app01-9218	57	25	,	,	PUNCT
app01-9218	57	26	also	also	ADV
app01-9218	57	27	in	in	ADP
app01-9218	57	28	terms	term	NOUN
app01-9218	57	29	of	of	ADP
app01-9218	57	30	stress	stress	NOUN
app01-9218	57	31	invariants	invariant	NOUN
app01-9218	57	32	as	as	ADP
app01-9218	57	33	fr(σm	fr(σm	PROPN
app01-9218	57	34	,	,	PUNCT
app01-9218	57	35	j	j	PROPN
app01-9218	57	36	,	,	PUNCT
app01-9218	57	37	θ	θ	PROPN
app01-9218	57	38	)	)	PUNCT
app01-9218	57	39	=	=	SYM
app01-9218	58	1	2	2	NUM
app01-9218	58	2	√	√	NUM
app01-9218	58	3	3j	3j	NUM
app01-9218	58	4	cos	cos	PROPN
app01-9218	58	5	(	(	PUNCT
app01-9218	58	6	θ	θ	PROPN
app01-9218	58	7	+	+	X
app01-9218	58	8	π	π	PROPN
app01-9218	58	9	6	6	NUM
app01-9218	58	10	)	)	PUNCT
app01-9218	58	11	+	+	PUNCT
app01-9218	59	1	+	+	CCONJ
app01-9218	59	2	3σm	3σm	ADJ
app01-9218	59	3	−	−	NOUN
app01-9218	59	4	3σt	3σt	NOUN
app01-9218	59	5	.	.	PUNCT
app01-9218	60	1	(	(	PUNCT
app01-9218	60	2	21	21	NUM
app01-9218	60	3	)	)	PUNCT
app01-9218	60	4	3	3	NUM
app01-9218	60	5	.	.	X
app01-9218	60	6	stress	stress	NOUN
app01-9218	60	7	update	update	NOUN
app01-9218	60	8	algorithm	algorithm	NOUN
app01-9218	60	9	in	in	ADP
app01-9218	60	10	the	the	DET
app01-9218	60	11	presented	present	VERB
app01-9218	60	12	approach	approach	NOUN
app01-9218	60	13	,	,	PUNCT
app01-9218	60	14	the	the	DET
app01-9218	60	15	rock	rock	NOUN
app01-9218	60	16	mass	mass	NOUN
app01-9218	60	17	is	be	AUX
app01-9218	60	18	treated	treat	VERB
app01-9218	60	19	as	as	ADP
app01-9218	60	20	isotropic	isotropic	NOUN
app01-9218	60	21	and	and	CCONJ
app01-9218	60	22	no	no	DET
app01-9218	60	23	hardening	hardening	NOUN
app01-9218	60	24	is	be	AUX
app01-9218	60	25	considered	consider	VERB
app01-9218	60	26	.	.	PUNCT
app01-9218	61	1	stress	stress	NOUN
app01-9218	61	2	update	update	NOUN
app01-9218	61	3	algorithm	algorithm	NOUN
app01-9218	61	4	respects	respect	VERB
app01-9218	61	5	the	the	DET
app01-9218	61	6	standard	standard	ADJ
app01-9218	61	7	theory	theory	NOUN
app01-9218	61	8	of	of	ADP
app01-9218	61	9	plasticity	plasticity	NOUN
app01-9218	61	10	.	.	PUNCT
app01-9218	62	1	elastic	elastic	ADJ
app01-9218	62	2	region	region	NOUN
app01-9218	62	3	of	of	ADP
app01-9218	62	4	the	the	DET
app01-9218	62	5	strain	strain	NOUN
app01-9218	62	6	is	be	AUX
app01-9218	62	7	bounded	bound	VERB
app01-9218	62	8	by	by	ADP
app01-9218	62	9	the	the	DET
app01-9218	62	10	yield	yield	NOUN
app01-9218	62	11	surface	surface	NOUN
app01-9218	62	12	.	.	PUNCT
app01-9218	63	1	in	in	ADP
app01-9218	63	2	case	case	NOUN
app01-9218	63	3	of	of	ADP
app01-9218	63	4	plastic	plastic	NOUN
app01-9218	63	5	yielding	yield	VERB
app01-9218	63	6	both	both	CCONJ
app01-9218	63	7	the	the	DET
app01-9218	63	8	yield	yield	NOUN
app01-9218	63	9	and	and	CCONJ
app01-9218	63	10	consistency	consistency	NOUN
app01-9218	63	11	condition	condition	NOUN
app01-9218	63	12	must	must	AUX
app01-9218	63	13	be	be	AUX
app01-9218	63	14	satisfied	satisfied	ADJ
app01-9218	63	15	.	.	PUNCT
app01-9218	64	1	the	the	DET
app01-9218	64	2	geo5	geo5	PROPN
app01-9218	64	3	fem	fem	PROPN
app01-9218	64	4	software	software	PROPN
app01-9218	64	5	assumes	assume	VERB
app01-9218	64	6	the	the	DET
app01-9218	64	7	stress	stress	NOUN
app01-9218	64	8	-	-	PUNCT
app01-9218	64	9	strain	strain	NOUN
app01-9218	64	10	relation	relation	NOUN
app01-9218	64	11	to	to	PART
app01-9218	64	12	be	be	AUX
app01-9218	64	13	linearly	linearly	ADV
app01-9218	64	14	elastic	elastic	ADJ
app01-9218	64	15	perfectly	perfectly	ADV
app01-9218	64	16	plastic	plastic	ADJ
app01-9218	64	17	for	for	ADP
app01-9218	64	18	the	the	DET
app01-9218	64	19	hb	hb	PROPN
app01-9218	64	20	model	model	NOUN
app01-9218	64	21	.	.	PUNCT
app01-9218	65	1	the	the	DET
app01-9218	65	2	total	total	ADJ
app01-9218	65	3	strain	strain	NOUN
app01-9218	65	4	increment	increment	NOUN
app01-9218	65	5	decomposes	decompose	NOUN
app01-9218	65	6	into	into	ADP
app01-9218	65	7	elastic	elastic	ADJ
app01-9218	65	8	and	and	CCONJ
app01-9218	65	9	plastic	plastic	ADJ
app01-9218	65	10	parts	part	NOUN
app01-9218	65	11	as	as	ADP
app01-9218	65	12	dε	dε	NOUN
app01-9218	65	13	=	=	VERB
app01-9218	65	14	dεel	dεel	NOUN
app01-9218	65	15	+	+	CCONJ
app01-9218	65	16	dεpl	dεpl	NOUN
app01-9218	65	17	.	.	PUNCT
app01-9218	66	1	(	(	PUNCT
app01-9218	66	2	22	22	NUM
app01-9218	66	3	)	)	PUNCT
app01-9218	66	4	the	the	DET
app01-9218	66	5	increment	increment	NOUN
app01-9218	66	6	of	of	ADP
app01-9218	66	7	stress	stress	NOUN
app01-9218	66	8	relates	relate	VERB
app01-9218	66	9	to	to	ADP
app01-9218	66	10	the	the	DET
app01-9218	66	11	elastic	elastic	ADJ
app01-9218	66	12	part	part	NOUN
app01-9218	66	13	of	of	ADP
app01-9218	66	14	the	the	DET
app01-9218	66	15	total	total	ADJ
app01-9218	66	16	strain	strain	NOUN
app01-9218	66	17	and	and	CCONJ
app01-9218	66	18	follows	follow	VERB
app01-9218	66	19	the	the	DET
app01-9218	66	20	linear	linear	PROPN
app01-9218	66	21	relation	relation	NOUN
app01-9218	66	22	dσ	dσ	PROPN
app01-9218	66	23	=	=	SYM
app01-9218	66	24	del	del	PROPN
app01-9218	66	25	(	(	PUNCT
app01-9218	66	26	dε	dε	ADP
app01-9218	66	27	−	−	PROPN
app01-9218	66	28	dεpl	dεpl	NOUN
app01-9218	66	29	)	)	PUNCT
app01-9218	66	30	.	.	PUNCT
app01-9218	67	1	(	(	PUNCT
app01-9218	67	2	23	23	NUM
app01-9218	67	3	)	)	PUNCT
app01-9218	67	4	for	for	ADP
app01-9218	67	5	non	non	ADJ
app01-9218	67	6	-	-	ADJ
app01-9218	67	7	associated	associated	ADJ
app01-9218	67	8	plasticity	plasticity	NOUN
app01-9218	67	9	the	the	DET
app01-9218	67	10	plastic	plastic	ADJ
app01-9218	67	11	part	part	NOUN
app01-9218	67	12	of	of	ADP
app01-9218	67	13	the	the	DET
app01-9218	67	14	strain	strain	NOUN
app01-9218	67	15	increment	increment	NOUN
app01-9218	67	16	is	be	AUX
app01-9218	67	17	defined	define	VERB
app01-9218	67	18	as	as	ADP
app01-9218	67	19	dεpl	dεpl	NOUN
app01-9218	67	20	=	=	SYM
app01-9218	67	21	∆λ∂g(σ	∆λ∂g(σ	ADJ
app01-9218	67	22	)	)	PUNCT
app01-9218	67	23	∂σ	∂σ	PROPN
app01-9218	67	24	,	,	PUNCT
app01-9218	67	25	(	(	PUNCT
app01-9218	67	26	24	24	NUM
app01-9218	67	27	)	)	PUNCT
app01-9218	67	28	with	with	ADP
app01-9218	67	29	∆λ	∆λ	PROPN
app01-9218	67	30	being	be	AUX
app01-9218	67	31	positive	positive	ADJ
app01-9218	67	32	for	for	ADP
app01-9218	67	33	plastic	plastic	NOUN
app01-9218	67	34	yielding	yielding	NOUN
app01-9218	67	35	,	,	PUNCT
app01-9218	67	36	otherwise	otherwise	ADV
app01-9218	67	37	it	it	PRON
app01-9218	67	38	is	be	AUX
app01-9218	67	39	equal	equal	ADJ
app01-9218	67	40	to	to	ADP
app01-9218	67	41	0	0	NUM
app01-9218	67	42	.	.	PUNCT
app01-9218	68	1	an	an	DET
app01-9218	68	2	associated	associated	ADJ
app01-9218	68	3	plastic	plastic	NOUN
app01-9218	68	4	flow	flow	NOUN
app01-9218	68	5	rule	rule	NOUN
app01-9218	68	6	assumes	assume	VERB
app01-9218	68	7	g(σ	g(σ	NOUN
app01-9218	68	8	)	)	PUNCT
app01-9218	68	9	=	=	SYM
app01-9218	68	10	f(σ	f(σ	PROPN
app01-9218	68	11	)	)	PUNCT
app01-9218	68	12	.	.	PUNCT
app01-9218	69	1	as	as	SCONJ
app01-9218	69	2	already	already	ADV
app01-9218	69	3	mentioned	mention	VERB
app01-9218	69	4	,	,	PUNCT
app01-9218	69	5	a	a	DET
app01-9218	69	6	non	non	ADJ
app01-9218	69	7	-	-	ADJ
app01-9218	69	8	associated	associated	ADJ
app01-9218	69	9	flow	flow	NOUN
app01-9218	69	10	rule	rule	NOUN
app01-9218	69	11	is	be	AUX
app01-9218	69	12	applied	apply	VERB
app01-9218	69	13	when	when	SCONJ
app01-9218	69	14	returning	return	VERB
app01-9218	69	15	to	to	ADP
app01-9218	69	16	the	the	DET
app01-9218	69	17	hb	hb	PROPN
app01-9218	69	18	yield	yield	NOUN
app01-9218	69	19	surface	surface	NOUN
app01-9218	69	20	,	,	PUNCT
app01-9218	69	21	while	while	SCONJ
app01-9218	69	22	associated	associated	ADJ
app01-9218	69	23	plasticity	plasticity	NOUN
app01-9218	69	24	is	be	AUX
app01-9218	69	25	adopted	adopt	VERB
app01-9218	69	26	for	for	ADP
app01-9218	69	27	the	the	DET
app01-9218	69	28	rankine	rankine	PROPN
app01-9218	69	29	yield	yield	NOUN
app01-9218	69	30	surface	surface	NOUN
app01-9218	69	31	.	.	PUNCT
app01-9218	70	1	derivation	derivation	NOUN
app01-9218	70	2	of	of	ADP
app01-9218	70	3	the	the	DET
app01-9218	70	4	plastic	plastic	ADJ
app01-9218	70	5	strain	strain	NOUN
app01-9218	70	6	increment	increment	NOUN
app01-9218	70	7	follows	follow	VERB
app01-9218	70	8	standard	standard	ADJ
app01-9218	70	9	two	two	NUM
app01-9218	70	10	step	step	NOUN
app01-9218	70	11	procedure	procedure	NOUN
app01-9218	70	12	employing	employ	VERB
app01-9218	70	13	elastic	elastic	ADJ
app01-9218	70	14	predictor	predictor	NOUN
app01-9218	70	15	and	and	CCONJ
app01-9218	70	16	plastic	plastic	ADJ
app01-9218	70	17	corrector	corrector	NOUN
app01-9218	70	18	steps	step	NOUN
app01-9218	70	19	.	.	PUNCT
app01-9218	71	1	the	the	DET
app01-9218	71	2	former	former	ADJ
app01-9218	71	3	step	step	NOUN
app01-9218	71	4	gives	give	VERB
app01-9218	71	5	the	the	DET
app01-9218	71	6	trial	trial	NOUN
app01-9218	71	7	stresses	stress	NOUN
app01-9218	71	8	in	in	ADP
app01-9218	71	9	the	the	DET
app01-9218	71	10	form	form	NOUN
app01-9218	71	11	σtr	σtr	NOUN
app01-9218	71	12	=	=	NOUN
app01-9218	71	13	σj−1	σj−1	NOUN
app01-9218	71	14	+	+	CCONJ
app01-9218	71	15	del	del	PROPN
app01-9218	71	16	dε	dε	PROPN
app01-9218	71	17	.	.	PROPN
app01-9218	72	1	(	(	PUNCT
app01-9218	72	2	25	25	NUM
app01-9218	72	3	)	)	PUNCT
app01-9218	72	4	once	once	SCONJ
app01-9218	72	5	the	the	DET
app01-9218	72	6	yield	yield	NOUN
app01-9218	72	7	condition	condition	NOUN
app01-9218	72	8	is	be	AUX
app01-9218	72	9	violated	violate	VERB
app01-9218	72	10	,	,	PUNCT
app01-9218	72	11	i.e.	i.e.	X
app01-9218	72	12	,	,	PUNCT
app01-9218	72	13	f(σtr	f(σtr	PROPN
app01-9218	72	14	)	)	PUNCT
app01-9218	72	15	>	>	X
app01-9218	73	1	0	0	NUM
app01-9218	73	2	,	,	PUNCT
app01-9218	73	3	the	the	DET
app01-9218	73	4	return	return	NOUN
app01-9218	73	5	mapping	mapping	NOUN
app01-9218	73	6	is	be	AUX
app01-9218	73	7	carried	carry	VERB
app01-9218	73	8	out	out	ADP
app01-9218	73	9	to	to	PART
app01-9218	73	10	bring	bring	VERB
app01-9218	73	11	the	the	DET
app01-9218	73	12	trial	trial	NOUN
app01-9218	73	13	stresses	stress	NOUN
app01-9218	73	14	back	back	ADV
app01-9218	73	15	to	to	ADP
app01-9218	73	16	the	the	DET
app01-9218	73	17	yield	yield	NOUN
app01-9218	73	18	surface	surface	NOUN
app01-9218	73	19	.	.	PUNCT
app01-9218	74	1	depending	depend	VERB
app01-9218	74	2	on	on	ADP
app01-9218	74	3	the	the	DET
app01-9218	74	4	orientation	orientation	NOUN
app01-9218	74	5	of	of	ADP
app01-9218	74	6	the	the	DET
app01-9218	74	7	elastic	elastic	ADJ
app01-9218	74	8	guess	guess	NOUN
app01-9218	74	9	and	and	CCONJ
app01-9218	74	10	the	the	DET
app01-9218	74	11	direction	direction	NOUN
app01-9218	74	12	of	of	ADP
app01-9218	74	13	the	the	DET
app01-9218	74	14	plastic	plastic	ADJ
app01-9218	74	15	strain	strain	NOUN
app01-9218	74	16	increment	increment	NOUN
app01-9218	74	17	,	,	PUNCT
app01-9218	74	18	reordering	reordering	NOUN
app01-9218	74	19	of	of	ADP
app01-9218	74	20	the	the	DET
app01-9218	74	21	principal	principal	NOUN
app01-9218	74	22	stresses	stress	NOUN
app01-9218	74	23	may	may	AUX
app01-9218	74	24	occur	occur	VERB
app01-9218	74	25	,	,	PUNCT
app01-9218	74	26	i.e.	i.e.	X
app01-9218	74	27	σ1	σ1	PROPN
app01-9218	74	28	>	>	X
app01-9218	74	29	σ2	σ2	PROPN
app01-9218	74	30	>	>	X
app01-9218	74	31	σ3	σ3	PROPN
app01-9218	74	32	may	may	AUX
app01-9218	74	33	no	no	ADV
app01-9218	74	34	longer	long	ADV
app01-9218	74	35	apply	apply	VERB
app01-9218	74	36	.	.	PUNCT
app01-9218	75	1	as	as	SCONJ
app01-9218	75	2	will	will	AUX
app01-9218	75	3	be	be	AUX
app01-9218	75	4	graphically	graphically	ADV
app01-9218	75	5	shown	show	VERB
app01-9218	75	6	in	in	ADP
app01-9218	75	7	the	the	DET
app01-9218	75	8	next	next	ADJ
app01-9218	75	9	section	section	NOUN
app01-9218	75	10	,	,	PUNCT
app01-9218	75	11	reordering	reordering	NOUN
app01-9218	75	12	of	of	ADP
app01-9218	75	13	principal	principal	ADJ
app01-9218	75	14	stresses	stress	NOUN
app01-9218	75	15	requires	require	VERB
app01-9218	75	16	formulation	formulation	NOUN
app01-9218	75	17	1the	1the	ADJ
app01-9218	75	18	trial	trial	NOUN
app01-9218	75	19	stress	stress	NOUN
app01-9218	75	20	space	space	NOUN
app01-9218	75	21	is	be	AUX
app01-9218	75	22	assumed	assume	VERB
app01-9218	75	23	inadmissible	inadmissible	ADJ
app01-9218	75	24	whenever	whenever	SCONJ
app01-9218	75	25	condition	condition	NOUN
app01-9218	75	26	σmax	σmax	NOUN
app01-9218	75	27	>	>	X
app01-9218	75	28	σt	σt	ADP
app01-9218	75	29	occurs	occur	VERB
app01-9218	75	30	regardless	regardless	ADV
app01-9218	75	31	of	of	ADP
app01-9218	75	32	whether	whether	SCONJ
app01-9218	75	33	or	or	CCONJ
app01-9218	75	34	not	not	PART
app01-9218	75	35	the	the	DET
app01-9218	75	36	hb	hb	PROPN
app01-9218	75	37	model	model	NOUN
app01-9218	75	38	is	be	AUX
app01-9218	75	39	defined	define	VERB
app01-9218	75	40	.	.	PUNCT
app01-9218	76	1	of	of	ADP
app01-9218	76	2	the	the	DET
app01-9218	76	3	return	return	NOUN
app01-9218	76	4	mapping	mapping	NOUN
app01-9218	76	5	algorithm	algorithm	NOUN
app01-9218	76	6	in	in	ADP
app01-9218	76	7	the	the	DET
app01-9218	76	8	framework	framework	NOUN
app01-9218	76	9	of	of	ADP
app01-9218	76	10	multi	multi	ADJ
app01-9218	76	11	-	-	ADJ
app01-9218	76	12	surface	surface	ADJ
app01-9218	76	13	plasticity	plasticity	NOUN
app01-9218	76	14	.	.	PUNCT
app01-9218	77	1	this	this	PRON
app01-9218	77	2	is	be	AUX
app01-9218	77	3	because	because	SCONJ
app01-9218	77	4	the	the	DET
app01-9218	77	5	updated	update	VERB
app01-9218	77	6	stress	stress	NOUN
app01-9218	77	7	,	,	PUNCT
app01-9218	77	8	although	although	SCONJ
app01-9218	77	9	theoretically	theoretically	ADV
app01-9218	77	10	located	locate	VERB
app01-9218	77	11	on	on	ADP
app01-9218	77	12	the	the	DET
app01-9218	77	13	yield	yield	NOUN
app01-9218	77	14	surface	surface	NOUN
app01-9218	77	15	,	,	PUNCT
app01-9218	77	16	gives	give	VERB
app01-9218	77	17	lode	lode	PROPN
app01-9218	77	18	’s	’s	PART
app01-9218	77	19	angle	angle	NOUN
app01-9218	77	20	which	which	PRON
app01-9218	77	21	falls	fall	VERB
app01-9218	77	22	outside	outside	ADP
app01-9218	77	23	the	the	DET
app01-9218	77	24	limits	limit	NOUN
app01-9218	77	25	−30	−30	NOUN
app01-9218	77	26	◦	◦	NOUN
app01-9218	77	27	≤	≤	NUM
app01-9218	77	28	θ	θ	PROPN
app01-9218	77	29	≤	≤	NUM
app01-9218	77	30	30	30	NUM
app01-9218	77	31	◦	◦	NOUN
app01-9218	77	32	.	.	PUNCT
app01-9218	78	1	in	in	ADP
app01-9218	78	2	such	such	DET
app01-9218	78	3	a	a	DET
app01-9218	78	4	case	case	NOUN
app01-9218	78	5	,	,	PUNCT
app01-9218	78	6	the	the	DET
app01-9218	78	7	correct	correct	ADJ
app01-9218	78	8	stress	stress	NOUN
app01-9218	78	9	lies	lie	VERB
app01-9218	78	10	on	on	ADP
app01-9218	78	11	the	the	DET
app01-9218	78	12	triaxial	triaxial	ADJ
app01-9218	78	13	edge	edge	NOUN
app01-9218	78	14	,	,	PUNCT
app01-9218	78	15	where	where	SCONJ
app01-9218	78	16	two	two	NUM
app01-9218	78	17	sectors	sector	NOUN
app01-9218	78	18	of	of	ADP
app01-9218	78	19	the	the	DET
app01-9218	78	20	yield	yield	NOUN
app01-9218	78	21	surface	surface	NOUN
app01-9218	78	22	intersect	intersect	ADJ
app01-9218	78	23	so	so	SCONJ
app01-9218	78	24	both	both	DET
app01-9218	78	25	corresponding	corresponding	ADJ
app01-9218	78	26	surfaces	surface	NOUN
app01-9218	78	27	become	become	VERB
app01-9218	78	28	active	active	ADJ
app01-9218	78	29	in	in	ADP
app01-9218	78	30	return	return	NOUN
app01-9218	78	31	mapping	mapping	NOUN
app01-9218	78	32	.	.	PUNCT
app01-9218	79	1	3.1	3.1	NUM
app01-9218	79	2	.	.	PUNCT
app01-9218	79	3	single	single	ADJ
app01-9218	79	4	yield	yield	NOUN
app01-9218	79	5	surface	surface	NOUN
app01-9218	79	6	return	return	NOUN
app01-9218	79	7	strategy	strategy	NOUN
app01-9218	79	8	implicit	implicit	ADJ
app01-9218	79	9	return	return	NOUN
app01-9218	79	10	mapping	mapping	NOUN
app01-9218	79	11	is	be	AUX
app01-9218	79	12	applied	apply	VERB
app01-9218	79	13	using	use	VERB
app01-9218	79	14	the	the	DET
app01-9218	79	15	newtonraphson	newtonraphson	NOUN
app01-9218	79	16	method	method	NOUN
app01-9218	79	17	in	in	ADP
app01-9218	79	18	the	the	DET
app01-9218	79	19	form	form	NOUN
app01-9218	79	20	(	(	PUNCT
app01-9218	79	21	∆λ)i+1	∆λ)i+1	ADV
app01-9218	79	22	=	=	SYM
app01-9218	79	23	(	(	PUNCT
app01-9218	79	24	∆λ)i	∆λ)i	PROPN
app01-9218	79	25	−	−	PROPN
app01-9218	79	26	(	(	PUNCT
app01-9218	79	27	f13)i	f13)i	PROPN
app01-9218	79	28	(	(	PUNCT
app01-9218	79	29	df13)i	df13)i	PROPN
app01-9218	79	30	,	,	PUNCT
app01-9218	79	31	(	(	PUNCT
app01-9218	79	32	26	26	NUM
app01-9218	79	33	)	)	PUNCT
app01-9218	79	34	where	where	SCONJ
app01-9218	79	35	df13	df13	PROPN
app01-9218	79	36	is	be	AUX
app01-9218	79	37	the	the	DET
app01-9218	79	38	derivative	derivative	NOUN
app01-9218	79	39	of	of	ADP
app01-9218	79	40	the	the	DET
app01-9218	79	41	yield	yield	NOUN
app01-9218	79	42	function	function	NOUN
app01-9218	79	43	associated	associate	VERB
app01-9218	79	44	with	with	ADP
app01-9218	79	45	the	the	DET
app01-9218	79	46	main	main	ADJ
app01-9218	79	47	sector	sector	NOUN
app01-9218	79	48	and	and	CCONJ
app01-9218	79	49	∆λ	∆λ	PROPN
app01-9218	79	50	is	be	AUX
app01-9218	79	51	the	the	DET
app01-9218	79	52	plastic	plastic	ADJ
app01-9218	79	53	strain	strain	NOUN
app01-9218	79	54	increment	increment	NOUN
app01-9218	79	55	.	.	PUNCT
app01-9218	80	1	the	the	DET
app01-9218	80	2	updated	update	VERB
app01-9218	80	3	stress	stress	NOUN
app01-9218	80	4	is	be	AUX
app01-9218	80	5	provided	provide	VERB
app01-9218	80	6	by	by	ADP
app01-9218	80	7	σi+1	σi+1	NOUN
app01-9218	80	8	=	=	NOUN
app01-9218	80	9	σtr	σtr	NOUN
app01-9218	80	10	−	−	PROPN
app01-9218	81	1	(	(	PUNCT
app01-9218	81	2	∆λ)i+1deln1	∆λ)i+1deln1	NOUN
app01-9218	81	3	g	g	NOUN
app01-9218	81	4	,	,	PUNCT
app01-9218	81	5	(	(	PUNCT
app01-9218	81	6	27	27	NUM
app01-9218	81	7	)	)	PUNCT
app01-9218	81	8	where	where	SCONJ
app01-9218	81	9	the	the	DET
app01-9218	81	10	direction	direction	NOUN
app01-9218	81	11	of	of	ADP
app01-9218	81	12	the	the	DET
app01-9218	81	13	plastic	plastic	NOUN
app01-9218	81	14	strain	strain	NOUN
app01-9218	81	15	increment	increment	NOUN
app01-9218	81	16	n1	n1	PROPN
app01-9218	81	17	g	g	PROPN
app01-9218	81	18	remains	remain	VERB
app01-9218	81	19	constant	constant	ADJ
app01-9218	81	20	during	during	ADP
app01-9218	81	21	the	the	DET
app01-9218	81	22	return	return	NOUN
app01-9218	81	23	mapping	mapping	NOUN
app01-9218	81	24	,	,	PUNCT
app01-9218	81	25	recall	recall	NOUN
app01-9218	81	26	equations	equation	NOUN
app01-9218	81	27	(	(	PUNCT
app01-9218	81	28	12)–(14	12)–(14	NUM
app01-9218	81	29	)	)	PUNCT
app01-9218	81	30	.	.	PUNCT
app01-9218	82	1	writing	write	VERB
app01-9218	82	2	the	the	DET
app01-9218	82	3	direction	direction	NOUN
app01-9218	82	4	of	of	ADP
app01-9218	82	5	principal	principal	ADJ
app01-9218	82	6	plastic	plastic	NOUN
app01-9218	82	7	corrector	corrector	NOUN
app01-9218	82	8	as	as	ADP
app01-9218	82	9	deln1	deln1	NOUN
app01-9218	82	10	g	g	PROPN
app01-9218	82	11	=	=	SYM
app01-9218	82	12	σpl	σpl	NOUN
app01-9218	82	13	=	=	NOUN
app01-9218	82	14	{	{	PUNCT
app01-9218	82	15	σpl	σpl	NOUN
app01-9218	82	16	1	1	NUM
app01-9218	82	17	,	,	PUNCT
app01-9218	82	18	σ	σ	PROPN
app01-9218	82	19	pl	pl	PROPN
app01-9218	82	20	2	2	NUM
app01-9218	82	21	,	,	PUNCT
app01-9218	82	22	σ	σ	PROPN
app01-9218	82	23	pl	pl	PROPN
app01-9218	82	24	3	3	NUM
app01-9218	82	25	}	}	PUNCT
app01-9218	82	26	t	t	PROPN
app01-9218	82	27	(	(	PUNCT
app01-9218	82	28	28	28	NUM
app01-9218	82	29	)	)	PUNCT
app01-9218	82	30	gives	give	VERB
app01-9218	82	31	σ1(∆λ	σ1(∆λ	NOUN
app01-9218	82	32	)	)	PUNCT
app01-9218	83	1	=	=	VERB
app01-9218	83	2	σtr	σtr	VERB
app01-9218	83	3	1	1	NUM
app01-9218	83	4	−	−	NOUN
app01-9218	83	5	∆λσpl	∆λσpl	NUM
app01-9218	83	6	1	1	NUM
app01-9218	83	7	,	,	PUNCT
app01-9218	83	8	(	(	PUNCT
app01-9218	83	9	29	29	NUM
app01-9218	83	10	)	)	PUNCT
app01-9218	83	11	σ2(∆λ	σ2(∆λ	NOUN
app01-9218	83	12	)	)	PUNCT
app01-9218	84	1	=	=	PRON
app01-9218	84	2	σtr	σtr	VERB
app01-9218	84	3	2	2	NUM
app01-9218	84	4	−	−	NOUN
app01-9218	84	5	∆λσpl	∆λσpl	NUM
app01-9218	84	6	2	2	NUM
app01-9218	84	7	,	,	PUNCT
app01-9218	84	8	(	(	PUNCT
app01-9218	84	9	30	30	NUM
app01-9218	84	10	)	)	PUNCT
app01-9218	84	11	σ3(∆λ	σ3(∆λ	PROPN
app01-9218	84	12	)	)	PUNCT
app01-9218	84	13	=	=	PRON
app01-9218	85	1	σtr	σtr	VERB
app01-9218	85	2	3	3	NUM
app01-9218	85	3	−	−	PROPN
app01-9218	85	4	∆λσpl	∆λσpl	NUM
app01-9218	85	5	3	3	NUM
app01-9218	85	6	.	.	PUNCT
app01-9218	86	1	(	(	PUNCT
app01-9218	86	2	31	31	NUM
app01-9218	86	3	)	)	PUNCT
app01-9218	86	4	substituting	substitute	VERB
app01-9218	86	5	equations	equation	NOUN
app01-9218	86	6	(	(	PUNCT
app01-9218	86	7	29)–(31	29)–(31	NUM
app01-9218	86	8	)	)	PUNCT
app01-9218	86	9	into	into	ADP
app01-9218	86	10	equation	equation	NOUN
app01-9218	86	11	(	(	PUNCT
app01-9218	86	12	4	4	X
app01-9218	86	13	)	)	PUNCT
app01-9218	86	14	gives	give	VERB
app01-9218	86	15	the	the	DET
app01-9218	86	16	yield	yield	NOUN
app01-9218	86	17	function	function	NOUN
app01-9218	86	18	f13	f13	ADJ
app01-9218	86	19	in	in	ADP
app01-9218	86	20	the	the	DET
app01-9218	86	21	form	form	NOUN
app01-9218	86	22	f13(∆λ	f13(∆λ	PROPN
app01-9218	86	23	)	)	PUNCT
app01-9218	86	24	=	=	PUNCT
app01-9218	87	1	(	(	PUNCT
app01-9218	87	2	σtr	σtr	NOUN
app01-9218	87	3	1	1	NUM
app01-9218	87	4	−	−	NOUN
app01-9218	87	5	σtr	σtr	NOUN
app01-9218	87	6	3	3	NUM
app01-9218	87	7	)	)	PUNCT
app01-9218	87	8	−	−	PROPN
app01-9218	88	1	∆λ(σpl	∆λ(σpl	NOUN
app01-9218	88	2	1	1	NUM
app01-9218	88	3	−	−	NOUN
app01-9218	88	4	σpl	σpl	NOUN
app01-9218	88	5	3	3	NUM
app01-9218	88	6	)	)	PUNCT
app01-9218	88	7	−	−	NOUN
app01-9218	88	8	−	−	PROPN
app01-9218	88	9	σci	σci	PROPN
app01-9218	88	10	[	[	PUNCT
app01-9218	88	11	s−	s−	PROPN
app01-9218	88	12	mb	mb	ADP
app01-9218	88	13	σci	σci	PROPN
app01-9218	88	14	(	(	PUNCT
app01-9218	88	15	σtr	σtr	PROPN
app01-9218	88	16	1	1	NUM
app01-9218	88	17	−	−	NOUN
app01-9218	88	18	∆λσpl	∆λσpl	NUM
app01-9218	88	19	1	1	NUM
app01-9218	88	20	)	)	PUNCT
app01-9218	88	21	]	]	X
app01-9218	88	22	a	a	DET
app01-9218	88	23	(	(	PUNCT
app01-9218	88	24	32	32	NUM
app01-9218	88	25	)	)	PUNCT
app01-9218	88	26	and	and	CCONJ
app01-9218	88	27	the	the	DET
app01-9218	88	28	corresponding	corresponding	ADJ
app01-9218	88	29	derivative	derivative	ADJ
app01-9218	88	30	w.r.t	w.r.t	NOUN
app01-9218	88	31	.	.	PUNCT
app01-9218	89	1	∆λ	∆λ	NOUN
app01-9218	89	2	as	as	ADP
app01-9218	89	3	df13(∆λ	df13(∆λ	PROPN
app01-9218	89	4	)	)	PUNCT
app01-9218	89	5	=	=	SYM
app01-9218	89	6	σpl	σpl	NOUN
app01-9218	89	7	3	3	NUM
app01-9218	89	8	−	−	NOUN
app01-9218	89	9	σpl	σpl	NOUN
app01-9218	89	10	1	1	NUM
app01-9218	89	11	−	−	NOUN
app01-9218	89	12	−	−	NOUN
app01-9218	90	1	ambσ	ambσ	X
app01-9218	90	2	pl	pl	PROPN
app01-9218	90	3	1	1	NUM
app01-9218	90	4	[	[	PUNCT
app01-9218	90	5	s−	s−	PROPN
app01-9218	90	6	mb	mb	ADP
app01-9218	90	7	σci	σci	PROPN
app01-9218	90	8	(	(	PUNCT
app01-9218	90	9	σtr	σtr	PROPN
app01-9218	90	10	1	1	NUM
app01-9218	90	11	−	−	NOUN
app01-9218	90	12	∆λσpl	∆λσpl	NUM
app01-9218	90	13	1	1	NUM
app01-9218	90	14	)	)	PUNCT
app01-9218	90	15	]	]	X
app01-9218	90	16	a−1	a−1	PROPN
app01-9218	90	17	.	.	PUNCT
app01-9218	91	1	(	(	PUNCT
app01-9218	91	2	33	33	NUM
app01-9218	91	3	)	)	PUNCT
app01-9218	91	4	return	return	NOUN
app01-9218	91	5	to	to	ADP
app01-9218	91	6	the	the	DET
app01-9218	91	7	rankine	rankine	PROPN
app01-9218	91	8	yield	yield	NOUN
app01-9218	91	9	surface	surface	PROPN
app01-9218	91	10	t1	t1	PROPN
app01-9218	91	11	follows	follow	VERB
app01-9218	91	12	the	the	DET
app01-9218	91	13	same	same	ADJ
app01-9218	91	14	minimization	minimization	NOUN
app01-9218	91	15	procedure	procedure	NOUN
app01-9218	91	16	.	.	PUNCT
app01-9218	92	1	owing	owe	VERB
app01-9218	92	2	to	to	ADP
app01-9218	92	3	the	the	DET
app01-9218	92	4	linear	linear	ADJ
app01-9218	92	5	form	form	NOUN
app01-9218	92	6	of	of	ADP
app01-9218	92	7	the	the	DET
app01-9218	92	8	yield	yield	NOUN
app01-9218	92	9	function	function	NOUN
app01-9218	92	10	,	,	PUNCT
app01-9218	92	11	the	the	DET
app01-9218	92	12	correct	correct	ADJ
app01-9218	92	13	increment	increment	NOUN
app01-9218	92	14	of	of	ADP
app01-9218	92	15	the	the	DET
app01-9218	92	16	plastic	plastic	ADJ
app01-9218	92	17	strain	strain	NOUN
app01-9218	92	18	is	be	AUX
app01-9218	92	19	found	find	VERB
app01-9218	92	20	in	in	ADP
app01-9218	92	21	one	one	NUM
app01-9218	92	22	iteration	iteration	NOUN
app01-9218	92	23	step	step	NOUN
app01-9218	92	24	.	.	PUNCT
app01-9218	93	1	therefore	therefore	ADV
app01-9218	93	2	∆λ	∆λ	PROPN
app01-9218	93	3	=	=	PUNCT
app01-9218	93	4	−	−	PROPN
app01-9218	93	5	t1	t1	NOUN
app01-9218	93	6	dt1	dt1	PROPN
app01-9218	93	7	.	.	PUNCT
app01-9218	94	1	(	(	PUNCT
app01-9218	94	2	34	34	NUM
app01-9218	94	3	)	)	PUNCT
app01-9218	94	4	the	the	DET
app01-9218	94	5	tensile	tensile	NOUN
app01-9218	94	6	yield	yield	NOUN
app01-9218	94	7	surface	surface	NOUN
app01-9218	94	8	defined	define	VERB
app01-9218	94	9	in	in	ADP
app01-9218	94	10	terms	term	NOUN
app01-9218	94	11	of	of	ADP
app01-9218	94	12	the	the	DET
app01-9218	94	13	plastic	plastic	NOUN
app01-9218	94	14	multiplier	multiplier	NOUN
app01-9218	94	15	is	be	AUX
app01-9218	94	16	given	give	VERB
app01-9218	94	17	by	by	ADP
app01-9218	94	18	t1	t1	PROPN
app01-9218	94	19	=	=	PUNCT
app01-9218	94	20	σtr	σtr	PROPN
app01-9218	95	1	1	1	NUM
app01-9218	95	2	−	−	NOUN
app01-9218	95	3	∆λσpl	∆λσpl	NUM
app01-9218	95	4	1	1	NUM
app01-9218	95	5	−	−	NOUN
app01-9218	95	6	σt	σt	ADP
app01-9218	95	7	(	(	PUNCT
app01-9218	95	8	35	35	NUM
app01-9218	95	9	)	)	PUNCT
app01-9218	95	10	119	119	NUM
app01-9218	95	11	tereza	tereza	NOUN
app01-9218	95	12	žalská	žalská	NOUN
app01-9218	95	13	,	,	PUNCT
app01-9218	95	14	michal	michal	PROPN
app01-9218	95	15	šejnoha	šejnoha	PROPN
app01-9218	95	16	acta	acta	PROPN
app01-9218	95	17	polytechnica	polytechnica	PROPN
app01-9218	95	18	ctu	ctu	PROPN
app01-9218	95	19	proceedings	proceeding	NOUN
app01-9218	96	1	σ1	σ1	PROPN
app01-9218	96	2	σ2	σ2	PROPN
app01-9218	96	3	σ3	σ3	PROPN
app01-9218	96	4	0	0	NUM
app01-9218	96	5	50	50	NUM
app01-9218	96	6	100	100	NUM
app01-9218	96	7	150	150	NUM
app01-9218	96	8	200	200	NUM
app01-9218	96	9	0	0	NUM
app01-9218	96	10	20	20	NUM
app01-9218	96	11	40	40	NUM
app01-9218	96	12	60	60	NUM
app01-9218	96	13	80	80	NUM
app01-9218	96	14	100	100	NUM
app01-9218	96	15	f	f	NOUN
app01-9218	96	16	hb	hb	X
app01-9218	96	17	f	f	PROPN
app01-9218	96	18	r	r	NOUN
app01-9218	96	19	f	f	PROPN
app01-9218	96	20	hbf	hbf	PROPN
app01-9218	96	21	r	r	PROPN
app01-9218	96	22	-σm	-σm	PUNCT
app01-9218	96	23	(	(	PUNCT
app01-9218	96	24	kpa	kpa	PROPN
app01-9218	96	25	)	)	PUNCT
app01-9218	96	26	j	j	PROPN
app01-9218	96	27	(	(	PUNCT
app01-9218	96	28	k	k	PROPN
app01-9218	96	29	p	p	X
app01-9218	96	30	a	a	PROPN
app01-9218	96	31	)	)	PUNCT
app01-9218	96	32	f	f	NOUN
app01-9218	96	33	r	r	NOUN
app01-9218	96	34	f	f	X
app01-9218	96	35	hb	hb	X
app01-9218	96	36	-σ1	-σ1	PROPN
app01-9218	96	37	(	(	PUNCT
app01-9218	96	38	kpa	kpa	PROPN
app01-9218	96	39	)	)	PUNCT
app01-9218	96	40	-σ	-σ	NUM
app01-9218	96	41	3	3	NUM
app01-9218	96	42	(	(	PUNCT
app01-9218	96	43	k	k	PROPN
app01-9218	96	44	p	p	X
app01-9218	96	45	a	a	X
app01-9218	96	46	)	)	PUNCT
app01-9218	96	47	σm	σm	PART
app01-9218	96	48	figure	figure	VERB
app01-9218	96	49	2	2	NUM
app01-9218	96	50	.	.	PUNCT
app01-9218	97	1	non	non	ADJ
app01-9218	97	2	-	-	ADJ
app01-9218	97	3	associated	associated	ADJ
app01-9218	97	4	return	return	NOUN
app01-9218	97	5	to	to	ADP
app01-9218	97	6	the	the	DET
app01-9218	97	7	hb	hb	PROPN
app01-9218	97	8	surface	surface	NOUN
app01-9218	97	9	from	from	ADP
app01-9218	97	10	trial	trial	NOUN
app01-9218	97	11	stress	stress	NOUN
app01-9218	97	12	violating	violate	VERB
app01-9218	97	13	t1	t1	NOUN
app01-9218	97	14	in	in	ADP
app01-9218	97	15	two	two	NUM
app01-9218	97	16	consecutive	consecutive	ADJ
app01-9218	97	17	steps	step	NOUN
app01-9218	97	18	(	(	PUNCT
app01-9218	97	19	ψ	ψ	NOUN
app01-9218	97	20	=	=	NOUN
app01-9218	97	21	0	0	NUM
app01-9218	97	22	):	):	PUNCT
app01-9218	97	23	first	first	ADV
app01-9218	97	24	from	from	ADP
app01-9218	97	25	trial	trial	NOUN
app01-9218	97	26	stress	stress	NOUN
app01-9218	97	27	(	(	PUNCT
app01-9218	97	28	red	red	ADJ
app01-9218	97	29	point	point	NOUN
app01-9218	97	30	)	)	PUNCT
app01-9218	97	31	onto	onto	ADP
app01-9218	97	32	the	the	DET
app01-9218	97	33	rankine	rankine	PROPN
app01-9218	97	34	yield	yield	PROPN
app01-9218	97	35	surface	surface	PROPN
app01-9218	97	36	(	(	PUNCT
app01-9218	97	37	orange	orange	NOUN
app01-9218	97	38	point	point	NOUN
app01-9218	97	39	)	)	PUNCT
app01-9218	97	40	,	,	PUNCT
app01-9218	97	41	second	second	ADV
app01-9218	97	42	from	from	ADP
app01-9218	97	43	rankine	rankine	PROPN
app01-9218	97	44	surface	surface	NOUN
app01-9218	97	45	to	to	ADP
app01-9218	97	46	hb	hb	PROPN
app01-9218	97	47	surface	surface	NOUN
app01-9218	97	48	(	(	PUNCT
app01-9218	97	49	green	green	ADJ
app01-9218	97	50	point	point	NOUN
app01-9218	97	51	)	)	PUNCT
app01-9218	97	52	plotted	plot	VERB
app01-9218	97	53	in	in	ADP
app01-9218	97	54	the	the	DET
app01-9218	97	55	deviatoric	deviatoric	ADJ
app01-9218	97	56	plane	plane	NOUN
app01-9218	97	57	(	(	PUNCT
app01-9218	97	58	left	left	ADV
app01-9218	97	59	)	)	PUNCT
app01-9218	97	60	,	,	PUNCT
app01-9218	97	61	σm	σm	ADP
app01-9218	97	62	−	−	PROPN
app01-9218	97	63	j	j	PROPN
app01-9218	97	64	plane	plane	NOUN
app01-9218	97	65	(	(	PUNCT
app01-9218	97	66	middle	middle	NOUN
app01-9218	97	67	)	)	PUNCT
app01-9218	97	68	,	,	PUNCT
app01-9218	97	69	σ1	σ1	PROPN
app01-9218	97	70	−	−	PROPN
app01-9218	97	71	σ3	σ3	PROPN
app01-9218	97	72	plane	plane	NOUN
app01-9218	97	73	(	(	PUNCT
app01-9218	97	74	right	right	NOUN
app01-9218	97	75	)	)	PUNCT
app01-9218	97	76	.	.	PUNCT
app01-9218	98	1	and	and	CCONJ
app01-9218	98	2	the	the	DET
app01-9218	98	3	derivative	derivative	ADJ
app01-9218	98	4	w.r.t	w.r.t	NOUN
app01-9218	98	5	.	.	PUNCT
app01-9218	99	1	∆λ	∆λ	PROPN
app01-9218	99	2	is	be	AUX
app01-9218	99	3	therefore	therefore	ADV
app01-9218	99	4	constant	constant	ADJ
app01-9218	99	5	dt1	dt1	PROPN
app01-9218	99	6	=	=	PUNCT
app01-9218	99	7	−σpl	−σpl	NOUN
app01-9218	100	1	1	1	X
app01-9218	100	2	.	.	PUNCT
app01-9218	101	1	(	(	PUNCT
app01-9218	101	2	36	36	NUM
app01-9218	101	3	)	)	PUNCT
app01-9218	101	4	returning	return	VERB
app01-9218	101	5	from	from	ADP
app01-9218	101	6	the	the	DET
app01-9218	101	7	trial	trial	NOUN
app01-9218	101	8	stress	stress	NOUN
app01-9218	101	9	space	space	NOUN
app01-9218	101	10	violating	violate	VERB
app01-9218	101	11	the	the	DET
app01-9218	101	12	rankine	rankine	PROPN
app01-9218	101	13	failure	failure	NOUN
app01-9218	101	14	criterion	criterion	NOUN
app01-9218	101	15	considers	consider	VERB
app01-9218	101	16	two	two	NUM
app01-9218	101	17	scenarios	scenario	NOUN
app01-9218	101	18	:	:	PUNCT
app01-9218	101	19	•	•	NUM
app01-9218	101	20	correct	correct	ADJ
app01-9218	101	21	return	return	NOUN
app01-9218	101	22	to	to	ADP
app01-9218	101	23	the	the	DET
app01-9218	101	24	hb	hb	PROPN
app01-9218	101	25	yield	yield	NOUN
app01-9218	101	26	surface	surface	NOUN
app01-9218	101	27	is	be	AUX
app01-9218	101	28	expected	expect	VERB
app01-9218	101	29	:	:	PUNCT
app01-9218	101	30	this	this	PRON
app01-9218	101	31	is	be	AUX
app01-9218	101	32	a	a	DET
app01-9218	101	33	two	two	NUM
app01-9218	101	34	-	-	PUNCT
app01-9218	101	35	step	step	NOUN
app01-9218	101	36	return	return	NOUN
app01-9218	101	37	where	where	SCONJ
app01-9218	101	38	returning	return	VERB
app01-9218	101	39	to	to	ADP
app01-9218	101	40	the	the	DET
app01-9218	101	41	rankine	rankine	PROPN
app01-9218	101	42	yield	yield	NOUN
app01-9218	101	43	surface	surface	NOUN
app01-9218	101	44	is	be	AUX
app01-9218	101	45	performed	perform	VERB
app01-9218	101	46	first	first	ADV
app01-9218	101	47	assuming	assume	VERB
app01-9218	101	48	the	the	DET
app01-9218	101	49	direction	direction	NOUN
app01-9218	101	50	of	of	ADP
app01-9218	101	51	plastic	plastic	ADJ
app01-9218	101	52	corrector	corrector	NOUN
app01-9218	101	53	given	give	VERB
app01-9218	101	54	by	by	ADP
app01-9218	101	55	the	the	DET
app01-9218	101	56	hb	hb	PROPN
app01-9218	101	57	model	model	NOUN
app01-9218	101	58	,	,	PUNCT
app01-9218	101	59	i.e.	i.e.	X
app01-9218	101	60	,	,	PUNCT
app01-9218	101	61	σpl	σpl	NOUN
app01-9218	101	62	=	=	SYM
app01-9218	102	1	deln1	deln1	NOUN
app01-9218	102	2	g	g	PROPN
app01-9218	102	3	(	(	PUNCT
app01-9218	102	4	non	non	ADJ
app01-9218	102	5	-	-	ADJ
app01-9218	102	6	associated	associated	ADJ
app01-9218	102	7	flow	flow	NOUN
app01-9218	102	8	rule	rule	NOUN
app01-9218	102	9	)	)	PUNCT
app01-9218	102	10	.	.	PUNCT
app01-9218	103	1	the	the	DET
app01-9218	103	2	procedure	procedure	NOUN
app01-9218	103	3	then	then	ADV
app01-9218	103	4	continues	continue	VERB
app01-9218	103	5	with	with	ADP
app01-9218	103	6	the	the	DET
app01-9218	103	7	second	second	ADJ
app01-9218	103	8	step	step	NOUN
app01-9218	103	9	bringing	bring	VERB
app01-9218	103	10	the	the	DET
app01-9218	103	11	stresses	stress	NOUN
app01-9218	103	12	back	back	ADV
app01-9218	103	13	onto	onto	ADP
app01-9218	103	14	the	the	DET
app01-9218	103	15	hb	hb	PROPN
app01-9218	103	16	yield	yield	NOUN
app01-9218	103	17	surface	surface	NOUN
app01-9218	103	18	along	along	ADP
app01-9218	103	19	the	the	DET
app01-9218	103	20	same	same	ADJ
app01-9218	103	21	direction	direction	NOUN
app01-9218	103	22	.	.	PUNCT
app01-9218	104	1	the	the	DET
app01-9218	104	2	total	total	ADJ
app01-9218	104	3	plastic	plastic	ADJ
app01-9218	104	4	strain	strain	NOUN
app01-9218	104	5	increment	increment	NOUN
app01-9218	104	6	is	be	AUX
app01-9218	104	7	then	then	ADV
app01-9218	104	8	the	the	DET
app01-9218	104	9	sum	sum	NOUN
app01-9218	104	10	of	of	ADP
app01-9218	104	11	plastic	plastic	ADJ
app01-9218	104	12	strain	strain	NOUN
app01-9218	104	13	increments	increment	NOUN
app01-9218	104	14	generated	generate	VERB
app01-9218	104	15	by	by	ADP
app01-9218	104	16	both	both	DET
app01-9218	104	17	steps	step	NOUN
app01-9218	104	18	.	.	PUNCT
app01-9218	105	1	see	see	VERB
app01-9218	105	2	figure	figure	NOUN
app01-9218	105	3	2	2	NUM
app01-9218	105	4	.	.	NOUN
app01-9218	105	5	•	•	NUM
app01-9218	105	6	correct	correct	ADJ
app01-9218	105	7	return	return	NOUN
app01-9218	105	8	to	to	ADP
app01-9218	105	9	the	the	DET
app01-9218	105	10	rankine	rankine	PROPN
app01-9218	105	11	yield	yield	NOUN
app01-9218	105	12	surface	surface	NOUN
app01-9218	105	13	is	be	AUX
app01-9218	105	14	expected	expect	VERB
app01-9218	105	15	:	:	PUNCT
app01-9218	105	16	this	this	PRON
app01-9218	105	17	is	be	AUX
app01-9218	105	18	a	a	DET
app01-9218	105	19	one	one	NUM
app01-9218	105	20	-	-	PUNCT
app01-9218	105	21	step	step	NOUN
app01-9218	105	22	return	return	NOUN
app01-9218	105	23	along	along	ADP
app01-9218	105	24	the	the	DET
app01-9218	105	25	direction	direction	NOUN
app01-9218	105	26	given	give	VERB
app01-9218	105	27	by	by	ADP
app01-9218	105	28	σpl	σpl	NOUN
app01-9218	105	29	=	=	SYM
app01-9218	105	30	deln1	deln1	PROPN
app01-9218	105	31	t	t	PROPN
app01-9218	105	32	(	(	PUNCT
app01-9218	105	33	associated	associate	VERB
app01-9218	105	34	flow	flow	NOUN
app01-9218	105	35	rule	rule	NOUN
app01-9218	105	36	)	)	PUNCT
app01-9218	105	37	.	.	PUNCT
app01-9218	106	1	3.2	3.2	NUM
app01-9218	106	2	.	.	PUNCT
app01-9218	107	1	triaxial	triaxial	ADJ
app01-9218	107	2	lines	line	NOUN
app01-9218	107	3	return	return	VERB
app01-9218	107	4	strategy	strategy	NOUN
app01-9218	107	5	two	two	NUM
app01-9218	107	6	active	active	ADJ
app01-9218	107	7	sectors	sector	NOUN
app01-9218	107	8	of	of	ADP
app01-9218	107	9	the	the	DET
app01-9218	107	10	hb	hb	PROPN
app01-9218	107	11	yield	yield	NOUN
app01-9218	107	12	surface	surface	NOUN
app01-9218	107	13	apply	apply	VERB
app01-9218	107	14	to	to	ADP
app01-9218	107	15	both	both	DET
app01-9218	107	16	the	the	DET
app01-9218	107	17	state	state	NOUN
app01-9218	107	18	of	of	ADP
app01-9218	107	19	triaxial	triaxial	ADJ
app01-9218	107	20	compression	compression	NOUN
app01-9218	107	21	and	and	CCONJ
app01-9218	107	22	triaxial	triaxial	ADJ
app01-9218	107	23	extension	extension	NOUN
app01-9218	107	24	.	.	PUNCT
app01-9218	108	1	considering	consider	VERB
app01-9218	108	2	triaxial	triaxial	ADJ
app01-9218	108	3	stress	stress	NOUN
app01-9218	108	4	state	state	NOUN
app01-9218	108	5	in	in	ADP
app01-9218	108	6	compression	compression	NOUN
app01-9218	108	7	for	for	ADP
app01-9218	108	8	the	the	DET
app01-9218	108	9	determination	determination	NOUN
app01-9218	108	10	of	of	ADP
app01-9218	108	11	the	the	DET
app01-9218	108	12	multi	multi	ADJ
app01-9218	108	13	-	-	ADJ
app01-9218	108	14	surface	surface	ADJ
app01-9218	108	15	plasticity	plasticity	NOUN
app01-9218	108	16	return	return	NOUN
app01-9218	108	17	,	,	PUNCT
app01-9218	108	18	two	two	NUM
app01-9218	108	19	yield	yield	NOUN
app01-9218	108	20	functions	function	NOUN
app01-9218	108	21	,	,	PUNCT
app01-9218	108	22	f13	f13	PROPN
app01-9218	108	23	and	and	CCONJ
app01-9218	108	24	f23	f23	NUM
app01-9218	108	25	,	,	PUNCT
app01-9218	108	26	are	be	AUX
app01-9218	108	27	active	active	ADJ
app01-9218	108	28	and	and	CCONJ
app01-9218	108	29	the	the	DET
app01-9218	108	30	iterative	iterative	NOUN
app01-9218	108	31	scheme	scheme	NOUN
app01-9218	108	32	takes	take	VERB
app01-9218	108	33	the	the	DET
app01-9218	108	34	form	form	NOUN
app01-9218	108	35	{	{	PUNCT
app01-9218	108	36	∆λ1	∆λ1	NOUN
app01-9218	108	37	∆λ2	∆λ2	NOUN
app01-9218	108	38	}	}	PUNCT
app01-9218	108	39	i+1	i+1	NUM
app01-9218	108	40	=	=	X
app01-9218	108	41	{	{	PUNCT
app01-9218	108	42	∆λ1	∆λ1	PROPN
app01-9218	108	43	∆λ2	∆λ2	NOUN
app01-9218	108	44	}	}	PUNCT
app01-9218	109	1	i	i	PRON
app01-9218	109	2	−(h−1)i	−(h−1)i	VERB
app01-9218	109	3	{	{	PUNCT
app01-9218	109	4	f13	f13	PROPN
app01-9218	109	5	f23	f23	PROPN
app01-9218	109	6	}	}	PUNCT
app01-9218	109	7	i	i	PRON
app01-9218	109	8	,	,	PUNCT
app01-9218	109	9	(	(	PUNCT
app01-9218	109	10	37	37	NUM
app01-9218	109	11	)	)	PUNCT
app01-9218	109	12	where	where	SCONJ
app01-9218	109	13	the	the	DET
app01-9218	109	14	jacobian	jacobian	ADJ
app01-9218	109	15	matrix	matrix	NOUN
app01-9218	109	16	is	be	AUX
app01-9218	109	17	composed	compose	VERB
app01-9218	109	18	of	of	ADP
app01-9218	109	19	the	the	DET
app01-9218	109	20	partial	partial	ADJ
app01-9218	109	21	derivatives	derivative	NOUN
app01-9218	109	22	of	of	ADP
app01-9218	109	23	the	the	DET
app01-9218	109	24	yield	yield	NOUN
app01-9218	109	25	functions	function	NOUN
app01-9218	109	26	with	with	ADP
app01-9218	109	27	respect	respect	NOUN
app01-9218	109	28	to	to	ADP
app01-9218	109	29	two	two	NUM
app01-9218	109	30	plastic	plastic	ADJ
app01-9218	109	31	multipliers	multiplier	NOUN
app01-9218	109	32	∆λ1	∆λ1	PROPN
app01-9218	109	33	and	and	CCONJ
app01-9218	109	34	∆λ2	∆λ2	PROPN
app01-9218	109	35	.	.	PUNCT
app01-9218	110	1	therefore	therefore	ADV
app01-9218	110	2	h	h	NOUN
app01-9218	110	3	=	=	PUNCT
app01-9218	110	4			NOUN
app01-9218	110	5	∂f13	∂f13	PROPN
app01-9218	110	6	∂(∆λ1	∂(∆λ1	NOUN
app01-9218	110	7	)	)	PUNCT
app01-9218	110	8	∂f13	∂f13	PROPN
app01-9218	110	9	∂(∆λ2	∂(∆λ2	NOUN
app01-9218	110	10	)	)	PUNCT
app01-9218	110	11	∂f23	∂f23	NOUN
app01-9218	110	12	∂(∆λ1	∂(∆λ1	NOUN
app01-9218	110	13	)	)	PUNCT
app01-9218	110	14	∂f23	∂f23	NOUN
app01-9218	110	15	∂(∆λ2	∂(∆λ2	NOUN
app01-9218	110	16	)	)	PUNCT
app01-9218	110	17			NOUN
app01-9218	110	18	.	.	PUNCT
app01-9218	111	1	(	(	PUNCT
app01-9218	111	2	38	38	NUM
app01-9218	111	3	)	)	PUNCT
app01-9218	111	4	the	the	DET
app01-9218	111	5	vector	vector	NOUN
app01-9218	111	6	of	of	ADP
app01-9218	111	7	updated	update	VERB
app01-9218	111	8	principle	principle	NOUN
app01-9218	111	9	stresses	stress	NOUN
app01-9218	111	10	for	for	SCONJ
app01-9218	111	11	the	the	DET
app01-9218	111	12	current	current	ADJ
app01-9218	111	13	iterative	iterative	NOUN
app01-9218	111	14	step	step	NOUN
app01-9218	111	15	is	be	AUX
app01-9218	111	16	given	give	VERB
app01-9218	111	17	by	by	ADP
app01-9218	111	18	σi+1	σi+1	NOUN
app01-9218	111	19	=	=	NOUN
app01-9218	111	20	σtr	σtr	NOUN
app01-9218	111	21	−	−	PROPN
app01-9218	111	22	(	(	PUNCT
app01-9218	111	23	∆λ1)i+1deln1	∆λ1)i+1deln1	PROPN
app01-9218	111	24	g	g	PROPN
app01-9218	111	25	−	−	PROPN
app01-9218	112	1	(	(	PUNCT
app01-9218	112	2	∆λ2)i+1deln2	∆λ2)i+1deln2	PROPN
app01-9218	112	3	g.	g.	PROPN
app01-9218	112	4	(	(	PUNCT
app01-9218	112	5	39	39	NUM
app01-9218	112	6	)	)	PUNCT
app01-9218	112	7	vectors	vector	NOUN
app01-9218	112	8	providing	provide	VERB
app01-9218	112	9	the	the	DET
app01-9218	112	10	orientation	orientation	NOUN
app01-9218	112	11	of	of	ADP
app01-9218	112	12	the	the	DET
app01-9218	112	13	plastic	plastic	ADJ
app01-9218	112	14	corrector	corrector	NOUN
app01-9218	112	15	are	be	AUX
app01-9218	112	16	defined	define	VERB
app01-9218	112	17	as	as	ADP
app01-9218	112	18	σpl	σpl	NOUN
app01-9218	112	19	1	1	NUM
app01-9218	112	20	=	=	SYM
app01-9218	112	21	deln1	deln1	NOUN
app01-9218	112	22	g	g	NOUN
app01-9218	112	23	=	=	SYM
app01-9218	112	24	{	{	PUNCT
app01-9218	112	25	σpl	σpl	NOUN
app01-9218	112	26	11;σpl	11;σpl	NUM
app01-9218	112	27	12;σpl	12;σpl	NUM
app01-9218	112	28	13	13	NUM
app01-9218	112	29	}	}	PUNCT
app01-9218	112	30	t	t	NOUN
app01-9218	112	31	,	,	PUNCT
app01-9218	112	32	(	(	PUNCT
app01-9218	112	33	40	40	NUM
app01-9218	112	34	)	)	PUNCT
app01-9218	112	35	σpl	σpl	NOUN
app01-9218	112	36	2	2	NUM
app01-9218	112	37	=	=	NOUN
app01-9218	112	38	deln2	deln2	NOUN
app01-9218	112	39	g	g	NOUN
app01-9218	112	40	=	=	SYM
app01-9218	112	41	{	{	PUNCT
app01-9218	112	42	σpl	σpl	NOUN
app01-9218	112	43	21;σpl	21;σpl	NUM
app01-9218	112	44	22;σpl	22;σpl	NUM
app01-9218	112	45	23	23	NUM
app01-9218	112	46	}	}	PUNCT
app01-9218	112	47	t	t	PROPN
app01-9218	112	48	(	(	PUNCT
app01-9218	112	49	41	41	NUM
app01-9218	112	50	)	)	PUNCT
app01-9218	112	51	and	and	CCONJ
app01-9218	112	52	individual	individual	ADJ
app01-9218	112	53	components	component	NOUN
app01-9218	112	54	of	of	ADP
app01-9218	112	55	the	the	DET
app01-9218	112	56	stress	stress	NOUN
app01-9218	112	57	vector	vector	NOUN
app01-9218	112	58	for	for	ADP
app01-9218	112	59	j	j	PROPN
app01-9218	112	60	=	=	SYM
app01-9218	112	61	1	1	NUM
app01-9218	112	62	→	→	SYM
app01-9218	112	63	3	3	NUM
app01-9218	112	64	σj(∆λ1,∆λ2	σj(∆λ1,∆λ2	NOUN
app01-9218	112	65	)	)	PUNCT
app01-9218	112	66	=	=	PUNCT
app01-9218	113	1	σtr	σtr	PROPN
app01-9218	113	2	j	j	PROPN
app01-9218	113	3	−	−	PROPN
app01-9218	113	4	∆λ1σ	∆λ1σ	X
app01-9218	113	5	pl	pl	X
app01-9218	113	6	1j	1j	NUM
app01-9218	113	7	−	−	NOUN
app01-9218	113	8	∆λ2σ	∆λ2σ	VERB
app01-9218	113	9	pl	pl	X
app01-9218	113	10	2j	2j	NUM
app01-9218	113	11	.	.	PUNCT
app01-9218	114	1	(	(	PUNCT
app01-9218	114	2	42	42	X
app01-9218	114	3	)	)	PUNCT
app01-9218	114	4	expressing	express	VERB
app01-9218	114	5	the	the	DET
app01-9218	114	6	yield	yield	NOUN
app01-9218	114	7	function	function	NOUN
app01-9218	114	8	in	in	ADP
app01-9218	114	9	terms	term	NOUN
app01-9218	114	10	of	of	ADP
app01-9218	114	11	two	two	NUM
app01-9218	114	12	plastic	plastic	ADJ
app01-9218	114	13	multipliers	multiplier	NOUN
app01-9218	114	14	provides	provide	VERB
app01-9218	114	15	the	the	DET
app01-9218	114	16	yield	yield	NOUN
app01-9218	114	17	function	function	NOUN
app01-9218	114	18	f13	f13	ADJ
app01-9218	114	19	as	as	ADP
app01-9218	114	20	f13(∆λ1,∆λ2	f13(∆λ1,∆λ2	NOUN
app01-9218	114	21	)	)	PUNCT
app01-9218	114	22	=	=	SYM
app01-9218	115	1	=	=	PUNCT
app01-9218	115	2	(	(	PUNCT
app01-9218	115	3	σtr	σtr	NOUN
app01-9218	115	4	1	1	NUM
app01-9218	115	5	−	−	NOUN
app01-9218	115	6	σtr	σtr	NOUN
app01-9218	115	7	3	3	NUM
app01-9218	115	8	)	)	PUNCT
app01-9218	115	9	−	−	PROPN
app01-9218	116	1	∆λ1(σpl	∆λ1(σpl	NOUN
app01-9218	116	2	11	11	NUM
app01-9218	116	3	−	−	NOUN
app01-9218	116	4	σpl	σpl	NOUN
app01-9218	116	5	13	13	NUM
app01-9218	116	6	)	)	PUNCT
app01-9218	116	7	−	−	NOUN
app01-9218	117	1	∆λ2(σpl	∆λ2(σpl	PROPN
app01-9218	117	2	21	21	NUM
app01-9218	117	3	−	−	NOUN
app01-9218	117	4	σpl	σpl	NOUN
app01-9218	117	5	23)−	23)−	NUM
app01-9218	117	6	−	−	PROPN
app01-9218	117	7	σci	σci	NOUN
app01-9218	117	8	[	[	PUNCT
app01-9218	117	9	s−	s−	PROPN
app01-9218	117	10	mb	mb	ADP
app01-9218	117	11	σci	σci	PROPN
app01-9218	117	12	(	(	PUNCT
app01-9218	117	13	σtr	σtr	PROPN
app01-9218	117	14	1	1	NUM
app01-9218	117	15	−	−	NOUN
app01-9218	117	16	∆λ1σ	∆λ1σ	NOUN
app01-9218	117	17	pl	pl	X
app01-9218	117	18	11	11	NUM
app01-9218	117	19	−	−	NOUN
app01-9218	117	20	∆λ2σ	∆λ2σ	PROPN
app01-9218	117	21	pl	pl	PROPN
app01-9218	117	22	21	21	NUM
app01-9218	117	23	)	)	PUNCT
app01-9218	117	24	]	]	X
app01-9218	117	25	a	a	DET
app01-9218	117	26	(	(	PUNCT
app01-9218	117	27	43	43	NUM
app01-9218	117	28	)	)	PUNCT
app01-9218	117	29	and	and	CCONJ
app01-9218	117	30	its	its	PRON
app01-9218	117	31	partial	partial	ADJ
app01-9218	117	32	derivatives	derivative	NOUN
app01-9218	117	33	in	in	ADP
app01-9218	117	34	the	the	DET
app01-9218	117	35	form	form	NOUN
app01-9218	117	36	h11	h11	NOUN
app01-9218	117	37	=	=	PUNCT
app01-9218	117	38	σpl	σpl	NOUN
app01-9218	117	39	13	13	NUM
app01-9218	117	40	−	−	NOUN
app01-9218	117	41	σpl	σpl	NOUN
app01-9218	117	42	11	11	NUM
app01-9218	117	43	−	−	NOUN
app01-9218	118	1	ambσ	ambσ	PROPN
app01-9218	119	1	pl	pl	PROPN
app01-9218	119	2	11	11	NUM
app01-9218	119	3	[	[	PUNCT
app01-9218	119	4	s−	s−	PROPN
app01-9218	119	5	mb	mb	ADP
app01-9218	119	6	σci	σci	PROPN
app01-9218	119	7	(	(	PUNCT
app01-9218	119	8	σtr	σtr	PROPN
app01-9218	119	9	1	1	NUM
app01-9218	119	10	−	−	NOUN
app01-9218	119	11	∆λ1σ	∆λ1σ	NOUN
app01-9218	119	12	pl	pl	X
app01-9218	119	13	11	11	NUM
app01-9218	119	14	−	−	NOUN
app01-9218	119	15	∆λ2σ	∆λ2σ	PROPN
app01-9218	119	16	pl	pl	PROPN
app01-9218	119	17	21	21	NUM
app01-9218	119	18	)	)	PUNCT
app01-9218	119	19	]	]	X
app01-9218	119	20	a−1	a−1	PROPN
app01-9218	119	21	,	,	PUNCT
app01-9218	119	22	(	(	PUNCT
app01-9218	119	23	44	44	NUM
app01-9218	119	24	)	)	PUNCT
app01-9218	119	25	h12	h12	NOUN
app01-9218	119	26	=	=	SYM
app01-9218	119	27	σpl	σpl	NOUN
app01-9218	119	28	23	23	NUM
app01-9218	119	29	−	−	NOUN
app01-9218	119	30	σpl	σpl	NOUN
app01-9218	119	31	21	21	NUM
app01-9218	119	32	−	−	NOUN
app01-9218	119	33	ambσ	ambσ	PROPN
app01-9218	119	34	pl	pl	PROPN
app01-9218	119	35	21	21	NUM
app01-9218	119	36	[	[	PUNCT
app01-9218	119	37	s−	s−	PROPN
app01-9218	119	38	mb	mb	ADP
app01-9218	119	39	σci	σci	PROPN
app01-9218	119	40	(	(	PUNCT
app01-9218	119	41	σtr	σtr	PROPN
app01-9218	119	42	1	1	NUM
app01-9218	119	43	−	−	NOUN
app01-9218	119	44	∆λ1σ	∆λ1σ	NOUN
app01-9218	119	45	pl	pl	X
app01-9218	119	46	11	11	NUM
app01-9218	119	47	−	−	NOUN
app01-9218	119	48	∆λ2σ	∆λ2σ	PROPN
app01-9218	119	49	pl	pl	PROPN
app01-9218	119	50	21	21	NUM
app01-9218	119	51	)	)	PUNCT
app01-9218	119	52	]	]	X
app01-9218	119	53	a−1	a−1	PROPN
app01-9218	119	54	.	.	PUNCT
app01-9218	120	1	(	(	PUNCT
app01-9218	120	2	45	45	NUM
app01-9218	120	3	)	)	PUNCT
app01-9218	120	4	the	the	DET
app01-9218	120	5	other	other	ADJ
app01-9218	120	6	yield	yield	NOUN
app01-9218	120	7	function	function	NOUN
app01-9218	120	8	and	and	CCONJ
app01-9218	120	9	components	component	NOUN
app01-9218	120	10	of	of	ADP
app01-9218	120	11	the	the	DET
app01-9218	120	12	h	h	NOUN
app01-9218	120	13	matrix	matrix	NOUN
app01-9218	120	14	would	would	AUX
app01-9218	120	15	be	be	AUX
app01-9218	120	16	expressed	express	VERB
app01-9218	120	17	similarly	similarly	ADV
app01-9218	120	18	and	and	CCONJ
app01-9218	120	19	the	the	DET
app01-9218	120	20	same	same	ADJ
app01-9218	120	21	approach	approach	NOUN
app01-9218	120	22	is	be	AUX
app01-9218	120	23	applied	apply	VERB
app01-9218	120	24	to	to	ADP
app01-9218	120	25	the	the	DET
app01-9218	120	26	state	state	NOUN
app01-9218	120	27	of	of	ADP
app01-9218	120	28	triaxial	triaxial	ADJ
app01-9218	120	29	extension	extension	NOUN
app01-9218	120	30	with	with	ADP
app01-9218	120	31	sectors	sector	NOUN
app01-9218	120	32	f13	f13	ADJ
app01-9218	120	33	and	and	CCONJ
app01-9218	120	34	f12	f12	NOUN
app01-9218	120	35	being	be	AUX
app01-9218	120	36	simultaneously	simultaneously	ADV
app01-9218	120	37	active	active	ADJ
app01-9218	120	38	.	.	PUNCT
app01-9218	121	1	attention	attention	NOUN
app01-9218	121	2	should	should	AUX
app01-9218	121	3	be	be	AUX
app01-9218	121	4	also	also	ADV
app01-9218	121	5	paid	pay	VERB
app01-9218	121	6	to	to	ADP
app01-9218	121	7	the	the	DET
app01-9218	121	8	triaxial	triaxial	ADJ
app01-9218	121	9	corner	corner	NOUN
app01-9218	121	10	of	of	ADP
app01-9218	121	11	the	the	DET
app01-9218	121	12	tensile	tensile	NOUN
app01-9218	121	13	yield	yield	NOUN
app01-9218	121	14	surface	surface	NOUN
app01-9218	121	15	.	.	PUNCT
app01-9218	122	1	in	in	ADP
app01-9218	122	2	this	this	DET
app01-9218	122	3	case	case	NOUN
app01-9218	122	4	,	,	PUNCT
app01-9218	122	5	the	the	DET
app01-9218	122	6	proposed	propose	VERB
app01-9218	122	7	approach	approach	NOUN
app01-9218	122	8	is	be	AUX
app01-9218	122	9	adopted	adopt	VERB
app01-9218	122	10	for	for	ADP
app01-9218	122	11	the	the	DET
app01-9218	122	12	intersection	intersection	NOUN
app01-9218	122	13	of	of	ADP
app01-9218	122	14	the	the	DET
app01-9218	122	15	yield	yield	NOUN
app01-9218	122	16	functions	function	NOUN
app01-9218	122	17	t1	t1	NOUN
app01-9218	122	18	and	and	CCONJ
app01-9218	122	19	t2	t2	PROPN
app01-9218	122	20	and	and	CCONJ
app01-9218	122	21	,	,	PUNCT
app01-9218	122	22	similarly	similarly	ADV
app01-9218	122	23	to	to	ADP
app01-9218	122	24	a	a	DET
app01-9218	122	25	single	single	ADJ
app01-9218	122	26	surface	surface	NOUN
app01-9218	122	27	plasticity	plasticity	NOUN
app01-9218	122	28	with	with	ADP
app01-9218	122	29	one	one	NUM
app01-9218	122	30	iteration	iteration	NOUN
app01-9218	122	31	step	step	NOUN
app01-9218	122	32	needed	need	VERB
app01-9218	122	33	.	.	PUNCT
app01-9218	123	1	again	again	ADV
app01-9218	123	2	,	,	PUNCT
app01-9218	123	3	both	both	DET
app01-9218	123	4	non	non	ADJ
app01-9218	123	5	-	-	ADJ
app01-9218	123	6	associated	associated	ADJ
app01-9218	123	7	and	and	CCONJ
app01-9218	123	8	associated	associate	VERB
app01-9218	123	9	plasticity	plasticity	NOUN
app01-9218	123	10	is	be	AUX
app01-9218	123	11	considered	consider	VERB
app01-9218	123	12	in	in	ADP
app01-9218	123	13	return	return	NOUN
app01-9218	123	14	mapping	mapping	NOUN
app01-9218	123	15	scheme	scheme	NOUN
app01-9218	123	16	depending	depend	VERB
app01-9218	123	17	on	on	ADP
app01-9218	123	18	whether	whether	SCONJ
app01-9218	123	19	the	the	DET
app01-9218	123	20	stress	stress	NOUN
app01-9218	123	21	is	be	AUX
app01-9218	123	22	expected	expect	VERB
app01-9218	123	23	to	to	PART
app01-9218	123	24	be	be	AUX
app01-9218	123	25	brought	bring	VERB
app01-9218	123	26	back	back	ADV
app01-9218	123	27	to	to	ADP
app01-9218	123	28	hb	hb	NOUN
app01-9218	123	29	model	model	NOUN
app01-9218	123	30	or	or	CCONJ
app01-9218	123	31	directly	directly	ADV
app01-9218	123	32	to	to	ADP
app01-9218	123	33	the	the	DET
app01-9218	123	34	rankine	rankine	PROPN
app01-9218	123	35	yield	yield	PROPN
app01-9218	123	36	surface	surface	PROPN
app01-9218	123	37	,	,	PUNCT
app01-9218	123	38	recall	recall	VERB
app01-9218	123	39	the	the	DET
app01-9218	123	40	last	last	ADJ
app01-9218	123	41	paragraph	paragraph	NOUN
app01-9218	123	42	in	in	ADP
app01-9218	123	43	the	the	DET
app01-9218	123	44	previous	previous	ADJ
app01-9218	123	45	section	section	NOUN
app01-9218	123	46	.	.	PUNCT
app01-9218	124	1	as	as	ADP
app01-9218	124	2	an	an	DET
app01-9218	124	3	example	example	NOUN
app01-9218	124	4	of	of	ADP
app01-9218	124	5	the	the	DET
app01-9218	124	6	former	former	ADJ
app01-9218	124	7	case	case	NOUN
app01-9218	124	8	,	,	PUNCT
app01-9218	124	9	see	see	VERB
app01-9218	124	10	figure	figure	NOUN
app01-9218	124	11	3	3	NUM
app01-9218	124	12	.	.	NOUN
app01-9218	124	13	120	120	NUM
app01-9218	124	14	vol	vol	NOUN
app01-9218	124	15	.	.	PUNCT
app01-9218	125	1	40/2023	40/2023	PROPN
app01-9218	125	2	hoek	hoek	PROPN
app01-9218	125	3	-	-	PUNCT
app01-9218	125	4	brown	brown	ADJ
app01-9218	125	5	plasticity	plasticity	NOUN
app01-9218	125	6	model	model	NOUN
app01-9218	125	7	with	with	ADP
app01-9218	125	8	tension	tension	NOUN
app01-9218	125	9	cut	cut	VERB
app01-9218	125	10	-	-	PUNCT
app01-9218	125	11	off	off	ADP
app01-9218	125	12	figure	figure	NOUN
app01-9218	125	13	3	3	NUM
app01-9218	125	14	.	.	PUNCT
app01-9218	125	15	demonstration	demonstration	NOUN
app01-9218	125	16	of	of	ADP
app01-9218	125	17	the	the	DET
app01-9218	125	18	return	return	NOUN
app01-9218	125	19	to	to	ADP
app01-9218	125	20	the	the	DET
app01-9218	125	21	triaxial	triaxial	ADJ
app01-9218	125	22	corners	corner	NOUN
app01-9218	125	23	of	of	ADP
app01-9218	125	24	the	the	DET
app01-9218	125	25	hb	hb	PROPN
app01-9218	125	26	yield	yield	NOUN
app01-9218	125	27	surface	surface	NOUN
app01-9218	125	28	from	from	ADP
app01-9218	125	29	trial	trial	NOUN
app01-9218	125	30	stress	stress	NOUN
app01-9218	125	31	violating	violate	VERB
app01-9218	125	32	tensile	tensile	NOUN
app01-9218	125	33	yield	yield	NOUN
app01-9218	125	34	condition	condition	NOUN
app01-9218	125	35	(	(	PUNCT
app01-9218	125	36	ψ	ψ	X
app01-9218	125	37	=	=	SYM
app01-9218	125	38	0	0	NUM
app01-9218	125	39	is	be	AUX
app01-9218	125	40	assumed	assume	VERB
app01-9218	125	41	):	):	PUNCT
app01-9218	125	42	σtr	σtr	PROPN
app01-9218	125	43	violates	violate	VERB
app01-9218	125	44	t1	t1	NOUN
app01-9218	125	45	condition	condition	NOUN
app01-9218	125	46	(	(	PUNCT
app01-9218	125	47	tc	tc	NOUN
app01-9218	125	48	corner	corner	NOUN
app01-9218	125	49	)	)	PUNCT
app01-9218	125	50	σtr′	σtr′	PROPN
app01-9218	125	51	violates	violate	VERB
app01-9218	125	52	both	both	PRON
app01-9218	125	53	t1	t1	NOUN
app01-9218	125	54	,	,	PUNCT
app01-9218	125	55	t2	t2	NOUN
app01-9218	125	56	conditions	condition	NOUN
app01-9218	125	57	(	(	PUNCT
app01-9218	125	58	tc	tc	NOUN
app01-9218	125	59	corner	corner	NOUN
app01-9218	125	60	)	)	PUNCT
app01-9218	125	61	σtr∗	σtr∗	PROPN
app01-9218	125	62	violates	violate	VERB
app01-9218	125	63	t1	t1	NOUN
app01-9218	125	64	condition	condition	NOUN
app01-9218	125	65	(	(	PUNCT
app01-9218	125	66	te	te	PART
app01-9218	125	67	corner	corner	NOUN
app01-9218	125	68	)	)	PUNCT
app01-9218	125	69	.	.	PUNCT
app01-9218	126	1	4	4	X
app01-9218	126	2	.	.	X
app01-9218	126	3	complex	complex	ADJ
app01-9218	126	4	return	return	NOUN
app01-9218	126	5	mapping	mapping	NOUN
app01-9218	126	6	scheme	scheme	NOUN
app01-9218	126	7	here	here	ADV
app01-9218	126	8	,	,	PUNCT
app01-9218	126	9	only	only	ADV
app01-9218	126	10	the	the	DET
app01-9218	126	11	return	return	NOUN
app01-9218	126	12	from	from	ADP
app01-9218	126	13	an	an	DET
app01-9218	126	14	inadmissible	inadmissible	ADJ
app01-9218	126	15	trial	trial	NOUN
app01-9218	126	16	stress	stress	NOUN
app01-9218	126	17	space	space	NOUN
app01-9218	126	18	is	be	AUX
app01-9218	126	19	discussed	discuss	VERB
app01-9218	126	20	.	.	PUNCT
app01-9218	127	1	as	as	SCONJ
app01-9218	127	2	already	already	ADV
app01-9218	127	3	explained	explain	VERB
app01-9218	127	4	in	in	ADP
app01-9218	127	5	the	the	DET
app01-9218	127	6	previous	previous	ADJ
app01-9218	127	7	sections	section	NOUN
app01-9218	127	8	,	,	PUNCT
app01-9218	127	9	a	a	DET
app01-9218	127	10	direct	direct	ADJ
app01-9218	127	11	return	return	NOUN
app01-9218	127	12	of	of	ADP
app01-9218	127	13	the	the	DET
app01-9218	127	14	trial	trial	NOUN
app01-9218	127	15	stress	stress	NOUN
app01-9218	127	16	for	for	ADP
app01-9218	127	17	the	the	DET
app01-9218	127	18	condition	condition	NOUN
app01-9218	127	19	σtr	σtr	VERB
app01-9218	127	20	1	1	NUM
app01-9218	127	21	>	>	PUNCT
app01-9218	127	22	σt	σt	ADP
app01-9218	127	23	onto	onto	ADP
app01-9218	127	24	the	the	DET
app01-9218	127	25	hb	hb	PROPN
app01-9218	127	26	yield	yield	NOUN
app01-9218	127	27	surface	surface	NOUN
app01-9218	127	28	fails	fail	VERB
app01-9218	127	29	as	as	SCONJ
app01-9218	127	30	the	the	DET
app01-9218	127	31	hb	hb	PROPN
app01-9218	127	32	yield	yield	NOUN
app01-9218	127	33	function	function	NOUN
app01-9218	127	34	is	be	AUX
app01-9218	127	35	undefined	undefined	ADJ
app01-9218	127	36	.	.	PUNCT
app01-9218	128	1	the	the	DET
app01-9218	128	2	return	return	NOUN
app01-9218	128	3	mapping	mapping	NOUN
app01-9218	128	4	therefore	therefore	ADV
app01-9218	128	5	begins	begin	VERB
app01-9218	128	6	with	with	ADP
app01-9218	128	7	evaluating	evaluate	VERB
app01-9218	128	8	the	the	DET
app01-9218	128	9	tensile	tensile	NOUN
app01-9218	128	10	condition	condition	NOUN
app01-9218	128	11	(	(	PUNCT
app01-9218	128	12	15	15	NUM
app01-9218	128	13	)	)	PUNCT
app01-9218	128	14	employing	employ	VERB
app01-9218	128	15	the	the	DET
app01-9218	128	16	reduced	reduce	VERB
app01-9218	128	17	tensile	tensile	NOUN
app01-9218	128	18	strength	strength	NOUN
app01-9218	128	19	σt	σt	ADP
app01-9218	128	20	≤	≤	NUM
app01-9218	128	21	σt	σt	ADP
app01-9218	128	22	−	−	NOUN
app01-9218	128	23	σ∗.	σ∗.	NOUN
app01-9218	128	24	violating	violate	VERB
app01-9218	128	25	this	this	DET
app01-9218	128	26	condition	condition	NOUN
app01-9218	128	27	calls	call	VERB
app01-9218	128	28	a	a	DET
app01-9218	128	29	non	non	ADJ
app01-9218	128	30	-	-	ADJ
app01-9218	128	31	associated	associated	ADJ
app01-9218	128	32	return	return	NOUN
app01-9218	128	33	onto	onto	ADP
app01-9218	128	34	the	the	DET
app01-9218	128	35	rankine	rankine	PROPN
app01-9218	128	36	yield	yield	NOUN
app01-9218	128	37	function	function	PROPN
app01-9218	128	38	controlled	control	VERB
app01-9218	128	39	by	by	ADP
app01-9218	128	40	the	the	DET
app01-9218	128	41	plastic	plastic	ADJ
app01-9218	128	42	potential	potential	NOUN
app01-9218	128	43	formulated	formulate	VERB
app01-9218	128	44	for	for	ADP
app01-9218	128	45	the	the	DET
app01-9218	128	46	hb	hb	PROPN
app01-9218	128	47	model	model	NOUN
app01-9218	128	48	.	.	PUNCT
app01-9218	129	1	if	if	SCONJ
app01-9218	129	2	the	the	DET
app01-9218	129	3	stress	stress	NOUN
app01-9218	129	4	point	point	NOUN
app01-9218	129	5	violates	violate	VERB
app01-9218	129	6	the	the	DET
app01-9218	129	7	hb	hb	PROPN
app01-9218	129	8	criterion	criterion	NOUN
app01-9218	129	9	,	,	PUNCT
app01-9218	129	10	a	a	DET
app01-9218	129	11	non	non	ADJ
app01-9218	129	12	-	-	ADJ
app01-9218	129	13	associated	associated	ADJ
app01-9218	129	14	return	return	NOUN
app01-9218	129	15	from	from	ADP
app01-9218	129	16	the	the	DET
app01-9218	129	17	point	point	NOUN
app01-9218	129	18	on	on	ADP
app01-9218	129	19	the	the	DET
app01-9218	129	20	rankine	rankine	PROPN
app01-9218	129	21	surface	surface	NOUN
app01-9218	129	22	onto	onto	ADP
app01-9218	129	23	the	the	DET
app01-9218	129	24	hb	hb	PROPN
app01-9218	129	25	yield	yield	NOUN
app01-9218	129	26	surface	surface	NOUN
app01-9218	129	27	follows	follow	VERB
app01-9218	129	28	,	,	PUNCT
app01-9218	129	29	see	see	VERB
app01-9218	129	30	figure	figure	NOUN
app01-9218	129	31	2	2	NUM
app01-9218	129	32	.	.	PUNCT
app01-9218	129	33	otherwise	otherwise	ADV
app01-9218	129	34	,	,	PUNCT
app01-9218	129	35	associated	associated	ADJ
app01-9218	129	36	plasticity	plasticity	NOUN
app01-9218	129	37	is	be	AUX
app01-9218	129	38	adopted	adopt	VERB
app01-9218	129	39	for	for	ADP
app01-9218	129	40	bringing	bring	VERB
app01-9218	129	41	the	the	DET
app01-9218	129	42	original	original	ADJ
app01-9218	129	43	trial	trial	NOUN
app01-9218	129	44	stress	stress	NOUN
app01-9218	129	45	back	back	ADV
app01-9218	129	46	onto	onto	ADP
app01-9218	129	47	the	the	DET
app01-9218	129	48	rankine	rankine	NOUN
app01-9218	129	49	tensile	tensile	NOUN
app01-9218	129	50	yield	yield	NOUN
app01-9218	129	51	surface	surface	NOUN
app01-9218	129	52	,	,	PUNCT
app01-9218	129	53	recall	recall	VERB
app01-9218	129	54	the	the	DET
app01-9218	129	55	last	last	ADJ
app01-9218	129	56	paragraph	paragraph	NOUN
app01-9218	129	57	in	in	ADP
app01-9218	129	58	section	section	NOUN
app01-9218	129	59	3.1	3.1	NUM
app01-9218	129	60	.	.	PUNCT
app01-9218	130	1	special	special	ADJ
app01-9218	130	2	attention	attention	NOUN
app01-9218	130	3	should	should	AUX
app01-9218	130	4	be	be	AUX
app01-9218	130	5	paid	pay	VERB
app01-9218	130	6	to	to	ADP
app01-9218	130	7	the	the	DET
app01-9218	130	8	intersection	intersection	NOUN
app01-9218	130	9	of	of	ADP
app01-9218	130	10	t1	t1	NOUN
app01-9218	130	11	and	and	CCONJ
app01-9218	130	12	f13	f13	ADJ
app01-9218	130	13	surfaces	surface	NOUN
app01-9218	130	14	with	with	ADP
app01-9218	130	15	reference	reference	NOUN
app01-9218	130	16	to	to	PART
app01-9218	130	17	figure	figure	VERB
app01-9218	130	18	5	5	NUM
app01-9218	130	19	.	.	PUNCT
app01-9218	131	1	the	the	DET
app01-9218	131	2	proposed	propose	VERB
app01-9218	131	3	algorithm	algorithm	NOUN
app01-9218	131	4	first	first	ADV
app01-9218	131	5	predicts	predict	VERB
app01-9218	131	6	that	that	SCONJ
app01-9218	131	7	the	the	DET
app01-9218	131	8	return	return	NOUN
app01-9218	131	9	mapping	mapping	NOUN
app01-9218	131	10	will	will	AUX
app01-9218	131	11	continue	continue	VERB
app01-9218	131	12	to	to	ADP
app01-9218	131	13	the	the	DET
app01-9218	131	14	hb	hb	PROPN
app01-9218	131	15	surface	surface	NOUN
app01-9218	131	16	after	after	ADP
app01-9218	131	17	being	be	AUX
app01-9218	131	18	preceded	precede	VERB
app01-9218	131	19	by	by	ADP
app01-9218	131	20	a	a	DET
app01-9218	131	21	non	non	ADJ
app01-9218	131	22	-	-	ADJ
app01-9218	131	23	associated	associated	ADJ
app01-9218	131	24	return	return	NOUN
app01-9218	131	25	to	to	ADP
app01-9218	131	26	the	the	DET
app01-9218	131	27	tensile	tensile	NOUN
app01-9218	131	28	yield	yield	NOUN
app01-9218	131	29	surface	surface	NOUN
app01-9218	131	30	.	.	PUNCT
app01-9218	132	1	if	if	SCONJ
app01-9218	132	2	no	no	DET
app01-9218	132	3	violation	violation	NOUN
app01-9218	132	4	of	of	ADP
app01-9218	132	5	the	the	DET
app01-9218	132	6	hb	hb	PROPN
app01-9218	132	7	criterion	criterion	NOUN
app01-9218	132	8	is	be	AUX
app01-9218	132	9	detected	detect	VERB
app01-9218	132	10	after	after	ADP
app01-9218	132	11	the	the	DET
app01-9218	132	12	first	first	ADJ
app01-9218	132	13	step	step	NOUN
app01-9218	132	14	,	,	PUNCT
app01-9218	132	15	the	the	DET
app01-9218	132	16	associated	associated	ADJ
app01-9218	132	17	return	return	NOUN
app01-9218	132	18	of	of	ADP
app01-9218	132	19	the	the	DET
app01-9218	132	20	trial	trial	NOUN
app01-9218	132	21	stress	stress	NOUN
app01-9218	132	22	to	to	ADP
app01-9218	132	23	the	the	DET
app01-9218	132	24	tensile	tensile	NOUN
app01-9218	132	25	surface	surface	NOUN
app01-9218	132	26	is	be	AUX
app01-9218	132	27	called	call	VERB
app01-9218	132	28	.	.	PUNCT
app01-9218	133	1	after	after	ADP
app01-9218	133	2	this	this	DET
app01-9218	133	3	attempt	attempt	NOUN
app01-9218	133	4	,	,	PUNCT
app01-9218	133	5	violation	violation	NOUN
app01-9218	133	6	of	of	ADP
app01-9218	133	7	the	the	DET
app01-9218	133	8	hb	hb	PROPN
app01-9218	133	9	condition	condition	NOUN
app01-9218	133	10	may	may	AUX
app01-9218	133	11	eventually	eventually	ADV
app01-9218	133	12	occur	occur	VERB
app01-9218	133	13	.	.	PUNCT
app01-9218	134	1	if	if	SCONJ
app01-9218	134	2	it	it	PRON
app01-9218	134	3	does	do	VERB
app01-9218	134	4	,	,	PUNCT
app01-9218	134	5	the	the	DET
app01-9218	134	6	hb	hb	PROPN
app01-9218	134	7	criterion	criterion	NOUN
app01-9218	134	8	is	be	AUX
app01-9218	134	9	substituted	substitute	VERB
app01-9218	134	10	with	with	ADP
app01-9218	134	11	the	the	DET
app01-9218	134	12	linear	linear	PROPN
app01-9218	134	13	function	function	NOUN
app01-9218	134	14	fsub	fsub	NOUN
app01-9218	134	15	,	,	PUNCT
app01-9218	134	16	see	see	VERB
app01-9218	134	17	equation	equation	NOUN
app01-9218	134	18	(	(	PUNCT
app01-9218	134	19	46	46	NUM
app01-9218	134	20	)	)	PUNCT
app01-9218	134	21	,	,	PUNCT
app01-9218	134	22	which	which	PRON
app01-9218	134	23	satisfies	satisfy	VERB
app01-9218	134	24	t1	t1	NUM
app01-9218	134	25	condition	condition	NOUN
app01-9218	134	26	(	(	PUNCT
app01-9218	134	27	σ1	σ1	NOUN
app01-9218	134	28	=	=	SYM
app01-9218	134	29	σt	σt	NOUN
app01-9218	134	30	)	)	PUNCT
app01-9218	134	31	,	,	PUNCT
app01-9218	134	32	and	and	CCONJ
app01-9218	134	33	the	the	DET
app01-9218	134	34	trial	trial	NOUN
app01-9218	134	35	stress	stress	NOUN
app01-9218	134	36	is	be	AUX
app01-9218	134	37	shifted	shift	VERB
app01-9218	134	38	to	to	ADP
app01-9218	134	39	the	the	DET
app01-9218	134	40	intersection	intersection	NOUN
app01-9218	134	41	of	of	ADP
app01-9218	134	42	two	two	NUM
app01-9218	134	43	planes	plane	NOUN
app01-9218	134	44	using	use	VERB
app01-9218	134	45	multi	multi	ADJ
app01-9218	134	46	-	-	ADJ
app01-9218	134	47	surface	surface	ADJ
app01-9218	134	48	plasticity	plasticity	NOUN
app01-9218	134	49	.	.	PUNCT
app01-9218	135	1	fsub(σ3	fsub(σ3	NOUN
app01-9218	135	2	)	)	PUNCT
app01-9218	136	1	=	=	NOUN
app01-9218	136	2	σt	σt	ADP
app01-9218	136	3	−	−	PROPN
app01-9218	136	4	σ3	σ3	PROPN
app01-9218	136	5	−	−	PROPN
app01-9218	136	6	σci	σci	NOUN
app01-9218	136	7	(	(	PUNCT
app01-9218	136	8	s−mb	s−mb	VERB
app01-9218	136	9	σt	σt	ADP
app01-9218	136	10	σci	σci	VERB
app01-9218	136	11	)	)	PUNCT
app01-9218	136	12	a	a	DET
app01-9218	136	13	(	(	PUNCT
app01-9218	136	14	46	46	NUM
app01-9218	136	15	)	)	PUNCT
app01-9218	136	16	it	it	PRON
app01-9218	136	17	is	be	AUX
app01-9218	136	18	appropriate	appropriate	ADJ
app01-9218	136	19	to	to	PART
app01-9218	136	20	point	point	VERB
app01-9218	136	21	out	out	ADP
app01-9218	136	22	that	that	SCONJ
app01-9218	136	23	reordering	reordering	NOUN
app01-9218	136	24	of	of	ADP
app01-9218	136	25	the	the	DET
app01-9218	136	26	principle	principle	ADJ
app01-9218	136	27	stresses	stress	NOUN
app01-9218	136	28	,	,	PUNCT
app01-9218	136	29	and	and	CCONJ
app01-9218	136	30	thus	thus	ADV
app01-9218	136	31	detection	detection	NOUN
app01-9218	136	32	of	of	ADP
app01-9218	136	33	the	the	DET
app01-9218	136	34	triaxial	triaxial	ADJ
app01-9218	136	35	corner	corner	NOUN
app01-9218	136	36	return	return	NOUN
app01-9218	136	37	,	,	PUNCT
app01-9218	136	38	may	may	AUX
app01-9218	136	39	occur	occur	VERB
app01-9218	136	40	during	during	ADP
app01-9218	136	41	the	the	DET
app01-9218	136	42	described	describe	VERB
app01-9218	136	43	steps	step	NOUN
app01-9218	136	44	.	.	PUNCT
app01-9218	137	1	in	in	ADP
app01-9218	137	2	such	such	DET
app01-9218	137	3	a	a	DET
app01-9218	137	4	case	case	NOUN
app01-9218	137	5	,	,	PUNCT
app01-9218	137	6	the	the	DET
app01-9218	137	7	above	above	ADJ
app01-9218	137	8	two	two	NUM
app01-9218	137	9	-	-	PUNCT
app01-9218	137	10	step	step	NOUN
app01-9218	137	11	procedure	procedure	NOUN
app01-9218	137	12	would	would	AUX
app01-9218	137	13	also	also	ADV
app01-9218	137	14	be	be	AUX
app01-9218	137	15	performed	perform	VERB
app01-9218	137	16	in	in	ADP
app01-9218	137	17	the	the	DET
app01-9218	137	18	framework	framework	NOUN
app01-9218	137	19	of	of	ADP
app01-9218	137	20	multi	multi	ADJ
app01-9218	137	21	-	-	ADJ
app01-9218	137	22	surface	surface	ADJ
app01-9218	137	23	plasticity	plasticity	NOUN
app01-9218	137	24	.	.	PUNCT
app01-9218	138	1	a	a	DET
app01-9218	138	2	graphical	graphical	ADJ
app01-9218	138	3	representation	representation	NOUN
app01-9218	138	4	is	be	AUX
app01-9218	138	5	evident	evident	ADJ
app01-9218	138	6	in	in	ADP
app01-9218	138	7	figure	figure	NOUN
app01-9218	138	8	3	3	NUM
app01-9218	138	9	.	.	PUNCT
app01-9218	139	1	the	the	DET
app01-9218	139	2	complete	complete	ADJ
app01-9218	139	3	return	return	NOUN
app01-9218	139	4	mapping	mapping	NOUN
app01-9218	139	5	scheme	scheme	NOUN
app01-9218	139	6	including	include	VERB
app01-9218	139	7	all	all	DET
app01-9218	139	8	potential	potential	ADJ
app01-9218	139	9	scenarios	scenario	NOUN
app01-9218	139	10	is	be	AUX
app01-9218	139	11	then	then	ADV
app01-9218	139	12	summarized	summarize	VERB
app01-9218	139	13	in	in	ADP
app01-9218	139	14	figure	figure	NOUN
app01-9218	139	15	4	4	NUM
app01-9218	139	16	.	.	PUNCT
app01-9218	139	17	figure	figure	VERB
app01-9218	139	18	4	4	NUM
app01-9218	139	19	.	.	PUNCT
app01-9218	139	20	full	full	ADJ
app01-9218	139	21	return	return	NOUN
app01-9218	139	22	mapping	mapping	NOUN
app01-9218	139	23	scheme	scheme	NOUN
app01-9218	139	24	including	include	VERB
app01-9218	139	25	all	all	DET
app01-9218	139	26	potential	potential	ADJ
app01-9218	139	27	scenarios	scenario	NOUN
app01-9218	139	28	.	.	PUNCT
app01-9218	140	1	121	121	NUM
app01-9218	140	2	tereza	tereza	NOUN
app01-9218	140	3	žalská	žalská	NOUN
app01-9218	140	4	,	,	PUNCT
app01-9218	140	5	michal	michal	PROPN
app01-9218	140	6	šejnoha	šejnoha	PROPN
app01-9218	140	7	acta	acta	PROPN
app01-9218	140	8	polytechnica	polytechnica	PROPN
app01-9218	140	9	ctu	ctu	PROPN
app01-9218	140	10	proceedings	proceeding	NOUN
app01-9218	140	11	σ1	σ1	PROPN
app01-9218	140	12	σ2	σ2	PROPN
app01-9218	140	13	σ3	σ3	PROPN
app01-9218	140	14	σ1	σ1	PROPN
app01-9218	140	15	σ2	σ2	PROPN
app01-9218	140	16	σ3	σ3	PROPN
app01-9218	140	17	σ1	σ1	PROPN
app01-9218	140	18	σ2	σ2	PROPN
app01-9218	140	19	σ3	σ3	PROPN
app01-9218	140	20	10	10	NUM
app01-9218	140	21	0	0	NUM
app01-9218	140	22	10	10	NUM
app01-9218	140	23	20	20	NUM
app01-9218	140	24	0	0	NUM
app01-9218	140	25	5	5	NUM
app01-9218	140	26	10	10	NUM
app01-9218	140	27	15	15	NUM
app01-9218	140	28	20	20	NUM
app01-9218	140	29	25	25	NUM
app01-9218	140	30	10	10	NUM
app01-9218	140	31	0	0	NUM
app01-9218	140	32	10	10	NUM
app01-9218	140	33	20	20	NUM
app01-9218	140	34	0	0	NUM
app01-9218	140	35	5	5	NUM
app01-9218	140	36	10	10	NUM
app01-9218	140	37	15	15	NUM
app01-9218	140	38	20	20	NUM
app01-9218	140	39	25	25	NUM
app01-9218	140	40	10	10	NUM
app01-9218	140	41	0	0	NUM
app01-9218	140	42	10	10	NUM
app01-9218	140	43	20	20	NUM
app01-9218	140	44	30	30	NUM
app01-9218	140	45	0	0	NUM
app01-9218	140	46	5	5	NUM
app01-9218	140	47	10	10	NUM
app01-9218	140	48	15	15	NUM
app01-9218	140	49	20	20	NUM
app01-9218	140	50	25	25	NUM
app01-9218	140	51	f	f	NOUN
app01-9218	140	52	hb	hb	X
app01-9218	140	53	f	f	PROPN
app01-9218	140	54	r	r	NOUN
app01-9218	140	55	-σm	-σm	NUM
app01-9218	140	56	(	(	PUNCT
app01-9218	140	57	kpa	kpa	PROPN
app01-9218	140	58	)	)	PUNCT
app01-9218	140	59	j	j	PROPN
app01-9218	140	60	(	(	PUNCT
app01-9218	140	61	k	k	X
app01-9218	140	62	p	p	X
app01-9218	140	63	a	a	PROPN
app01-9218	140	64	)	)	PUNCT
app01-9218	140	65	j	j	NOUN
app01-9218	140	66	(	(	PUNCT
app01-9218	140	67	k	k	X
app01-9218	140	68	p	p	X
app01-9218	140	69	a	a	X
app01-9218	140	70	)	)	PUNCT
app01-9218	140	71	-σm	-σm	NUM
app01-9218	140	72	(	(	PUNCT
app01-9218	140	73	kpa	kpa	PROPN
app01-9218	140	74	)	)	PUNCT
app01-9218	140	75	-σm	-σm	NUM
app01-9218	140	76	(	(	PUNCT
app01-9218	140	77	kpa	kpa	PROPN
app01-9218	140	78	)	)	PUNCT
app01-9218	140	79	j	j	PROPN
app01-9218	140	80	(	(	PUNCT
app01-9218	140	81	k	k	PROPN
app01-9218	140	82	p	p	NOUN
app01-9218	140	83	a	a	X
app01-9218	140	84	)	)	PUNCT
app01-9218	140	85	delng	delng	NOUN
app01-9218	140	86	1	1	NUM
app01-9218	140	87	d	d	PROPN
app01-9218	140	88	eln	eln	PROPN
app01-9218	140	89	t	t	PROPN
app01-9218	140	90	1	1	NUM
app01-9218	140	91	figure	figure	NOUN
app01-9218	140	92	5	5	NUM
app01-9218	140	93	.	.	PUNCT
app01-9218	140	94	sequence	sequence	NOUN
app01-9218	140	95	of	of	ADP
app01-9218	140	96	the	the	DET
app01-9218	140	97	return	return	NOUN
app01-9218	140	98	attempts	attempt	NOUN
app01-9218	140	99	leading	lead	VERB
app01-9218	140	100	to	to	PART
app01-9218	140	101	correct	correct	VERB
app01-9218	140	102	stress	stress	NOUN
app01-9218	140	103	lying	lie	VERB
app01-9218	140	104	on	on	ADP
app01-9218	140	105	the	the	DET
app01-9218	140	106	intersection	intersection	NOUN
app01-9218	140	107	of	of	ADP
app01-9218	140	108	t1	t1	NOUN
app01-9218	140	109	and	and	CCONJ
app01-9218	140	110	f13	f13	X
app01-9218	140	111	(	(	PUNCT
app01-9218	140	112	ψ	ψ	NOUN
app01-9218	140	113	=	=	SYM
app01-9218	140	114	0	0	NUM
app01-9218	140	115	)	)	PUNCT
app01-9218	140	116	plotted	plot	VERB
app01-9218	140	117	in	in	ADP
app01-9218	140	118	the	the	DET
app01-9218	140	119	deviatoric	deviatoric	ADJ
app01-9218	140	120	planes	plane	NOUN
app01-9218	140	121	(	(	PUNCT
app01-9218	140	122	top	top	NOUN
app01-9218	140	123	)	)	PUNCT
app01-9218	140	124	and	and	CCONJ
app01-9218	140	125	σm	σm	INTJ
app01-9218	140	126	−	−	PROPN
app01-9218	140	127	j	j	PROPN
app01-9218	140	128	planes	plane	NOUN
app01-9218	140	129	(	(	PUNCT
app01-9218	140	130	bottom	bottom	ADJ
app01-9218	140	131	)	)	PUNCT
app01-9218	140	132	.	.	PUNCT
app01-9218	141	1	5	5	X
app01-9218	141	2	.	.	X
app01-9218	141	3	conclusions	conclusion	NOUN
app01-9218	141	4	a	a	DET
app01-9218	141	5	detailed	detailed	ADJ
app01-9218	141	6	description	description	NOUN
app01-9218	141	7	of	of	ADP
app01-9218	141	8	the	the	DET
app01-9218	141	9	return	return	NOUN
app01-9218	141	10	mapping	mapping	NOUN
app01-9218	141	11	algorithm	algorithm	NOUN
app01-9218	141	12	for	for	ADP
app01-9218	141	13	the	the	DET
app01-9218	141	14	case	case	NOUN
app01-9218	141	15	of	of	ADP
app01-9218	141	16	inadmissible	inadmissible	ADJ
app01-9218	141	17	trial	trial	NOUN
app01-9218	141	18	stresses	stress	NOUN
app01-9218	141	19	,	,	PUNCT
app01-9218	141	20	here	here	ADV
app01-9218	141	21	defined	define	VERB
app01-9218	141	22	as	as	ADP
app01-9218	141	23	the	the	DET
app01-9218	141	24	stress	stress	NOUN
app01-9218	141	25	space	space	NOUN
app01-9218	141	26	for	for	ADP
app01-9218	141	27	which	which	PRON
app01-9218	141	28	σtr	σtr	VERB
app01-9218	141	29	1	1	NUM
app01-9218	141	30	>	>	SYM
app01-9218	141	31	σt	σt	NOUN
app01-9218	141	32	,	,	PUNCT
app01-9218	141	33	is	be	AUX
app01-9218	141	34	presented	present	VERB
app01-9218	141	35	.	.	PUNCT
app01-9218	142	1	to	to	ADP
app01-9218	142	2	the	the	DET
app01-9218	142	3	authors	author	NOUN
app01-9218	142	4	knowledge	knowledge	VERB
app01-9218	142	5	the	the	DET
app01-9218	142	6	number	number	NOUN
app01-9218	142	7	of	of	ADP
app01-9218	142	8	contributions	contribution	NOUN
app01-9218	142	9	addressing	address	VERB
app01-9218	142	10	this	this	DET
app01-9218	142	11	issue	issue	NOUN
app01-9218	142	12	is	be	AUX
app01-9218	142	13	limited	limited	ADJ
app01-9218	142	14	.	.	PUNCT
app01-9218	143	1	in	in	ADP
app01-9218	143	2	[	[	X
app01-9218	143	3	7	7	X
app01-9218	143	4	]	]	X
app01-9218	143	5	a	a	DET
app01-9218	143	6	smooth	smooth	ADJ
app01-9218	143	7	variant	variant	NOUN
app01-9218	143	8	of	of	ADP
app01-9218	143	9	the	the	DET
app01-9218	143	10	hb	hb	PROPN
app01-9218	143	11	model	model	NOUN
app01-9218	143	12	is	be	AUX
app01-9218	143	13	presented	present	VERB
app01-9218	143	14	and	and	CCONJ
app01-9218	143	15	the	the	DET
app01-9218	143	16	tension	tension	NOUN
app01-9218	143	17	cut	cut	VERB
app01-9218	143	18	-	-	PUNCT
app01-9218	143	19	off	off	ADP
app01-9218	143	20	condition	condition	NOUN
app01-9218	143	21	is	be	AUX
app01-9218	143	22	introduced	introduce	VERB
app01-9218	143	23	via	via	ADP
app01-9218	143	24	an	an	DET
app01-9218	143	25	allowable	allowable	ADJ
app01-9218	143	26	tensile	tensile	NOUN
app01-9218	143	27	mean	mean	VERB
app01-9218	143	28	stress	stress	NOUN
app01-9218	143	29	instead	instead	ADV
app01-9218	143	30	of	of	ADP
app01-9218	143	31	actual	actual	ADJ
app01-9218	143	32	tensile	tensile	NOUN
app01-9218	143	33	strength	strength	NOUN
app01-9218	143	34	.	.	PUNCT
app01-9218	144	1	in	in	ADP
app01-9218	144	2	[	[	X
app01-9218	144	3	8	8	NUM
app01-9218	144	4	,	,	PUNCT
app01-9218	144	5	9	9	NUM
app01-9218	144	6	]	]	PUNCT
app01-9218	144	7	the	the	DET
app01-9218	144	8	authors	author	NOUN
app01-9218	144	9	also	also	ADV
app01-9218	144	10	deal	deal	VERB
app01-9218	144	11	with	with	ADP
app01-9218	144	12	the	the	DET
app01-9218	144	13	issue	issue	NOUN
app01-9218	144	14	of	of	ADP
app01-9218	144	15	tensile	tensile	NOUN
app01-9218	144	16	stresses	stress	NOUN
app01-9218	144	17	.	.	PUNCT
app01-9218	145	1	however	however	ADV
app01-9218	145	2	,	,	PUNCT
app01-9218	145	3	the	the	DET
app01-9218	145	4	approach	approach	NOUN
app01-9218	145	5	is	be	AUX
app01-9218	145	6	not	not	PART
app01-9218	145	7	explained	explain	VERB
app01-9218	145	8	in	in	ADP
app01-9218	145	9	all	all	DET
app01-9218	145	10	details	detail	NOUN
app01-9218	145	11	and	and	CCONJ
app01-9218	145	12	its	its	PRON
app01-9218	145	13	effectivity	effectivity	NOUN
app01-9218	145	14	is	be	AUX
app01-9218	145	15	not	not	PART
app01-9218	145	16	obvious	obvious	ADJ
app01-9218	145	17	.	.	PUNCT
app01-9218	146	1	the	the	DET
app01-9218	146	2	present	present	ADJ
app01-9218	146	3	approach	approach	NOUN
app01-9218	146	4	exploits	exploit	VERB
app01-9218	146	5	simplicity	simplicity	NOUN
app01-9218	146	6	of	of	ADP
app01-9218	146	7	the	the	DET
app01-9218	146	8	rankine	rankine	PROPN
app01-9218	146	9	yield	yield	PROPN
app01-9218	146	10	surface	surface	PROPN
app01-9218	146	11	,	,	PUNCT
app01-9218	146	12	which	which	PRON
app01-9218	146	13	is	be	AUX
app01-9218	146	14	often	often	ADV
app01-9218	146	15	used	use	VERB
app01-9218	146	16	as	as	ADP
app01-9218	146	17	a	a	DET
app01-9218	146	18	tension	tension	NOUN
app01-9218	146	19	cut	cut	VERB
app01-9218	146	20	-	-	PUNCT
app01-9218	146	21	off	off	ADP
app01-9218	146	22	criterion	criterion	NOUN
app01-9218	146	23	.	.	PUNCT
app01-9218	147	1	the	the	DET
app01-9218	147	2	return	return	NOUN
app01-9218	147	3	of	of	ADP
app01-9218	147	4	inadmissible	inadmissible	ADJ
app01-9218	147	5	trial	trial	NOUN
app01-9218	147	6	stresses	stress	NOUN
app01-9218	147	7	to	to	ADP
app01-9218	147	8	the	the	DET
app01-9218	147	9	main	main	ADJ
app01-9218	147	10	sector	sector	NOUN
app01-9218	147	11	or	or	CCONJ
app01-9218	147	12	triaxial	triaxial	ADJ
app01-9218	147	13	edges	edge	NOUN
app01-9218	147	14	of	of	ADP
app01-9218	147	15	the	the	DET
app01-9218	147	16	hb	hb	PROPN
app01-9218	147	17	yield	yield	NOUN
app01-9218	147	18	surface	surface	NOUN
app01-9218	147	19	assumes	assume	VERB
app01-9218	147	20	two	two	NUM
app01-9218	147	21	consecutive	consecutive	ADJ
app01-9218	147	22	steps	step	NOUN
app01-9218	147	23	.	.	PUNCT
app01-9218	148	1	first	first	ADV
app01-9218	148	2	,	,	PUNCT
app01-9218	148	3	the	the	DET
app01-9218	148	4	stress	stress	NOUN
app01-9218	148	5	is	be	AUX
app01-9218	148	6	brought	bring	VERB
app01-9218	148	7	back	back	ADV
app01-9218	148	8	to	to	ADP
app01-9218	148	9	the	the	DET
app01-9218	148	10	rankine	rankine	PROPN
app01-9218	148	11	yield	yield	NOUN
app01-9218	148	12	surface	surface	NOUN
app01-9218	148	13	defined	define	VERB
app01-9218	148	14	by	by	ADP
app01-9218	148	15	the	the	DET
app01-9218	148	16	reduced	reduce	VERB
app01-9218	148	17	tensile	tensile	NOUN
app01-9218	148	18	strength	strength	NOUN
app01-9218	148	19	.	.	PUNCT
app01-9218	149	1	second	second	ADJ
app01-9218	149	2	,	,	PUNCT
app01-9218	149	3	the	the	DET
app01-9218	149	4	implicit	implicit	ADJ
app01-9218	149	5	iterative	iterative	NOUN
app01-9218	149	6	procedure	procedure	NOUN
app01-9218	149	7	for	for	ADP
app01-9218	149	8	shifting	shift	VERB
app01-9218	149	9	the	the	DET
app01-9218	149	10	stress	stress	NOUN
app01-9218	149	11	onto	onto	ADP
app01-9218	149	12	the	the	DET
app01-9218	149	13	hb	hb	PROPN
app01-9218	149	14	surface	surface	NOUN
app01-9218	149	15	is	be	AUX
app01-9218	149	16	applied	apply	VERB
app01-9218	149	17	.	.	PUNCT
app01-9218	150	1	both	both	DET
app01-9218	150	2	steps	step	NOUN
app01-9218	150	3	assume	assume	VERB
app01-9218	150	4	the	the	DET
app01-9218	150	5	same	same	ADJ
app01-9218	150	6	orientation	orientation	NOUN
app01-9218	150	7	of	of	ADP
app01-9218	150	8	the	the	DET
app01-9218	150	9	plastic	plastic	ADJ
app01-9218	150	10	corrector	corrector	NOUN
app01-9218	150	11	.	.	PUNCT
app01-9218	151	1	it	it	PRON
app01-9218	151	2	is	be	AUX
app01-9218	151	3	shown	show	VERB
app01-9218	151	4	,	,	PUNCT
app01-9218	151	5	that	that	SCONJ
app01-9218	151	6	the	the	DET
app01-9218	151	7	prediction	prediction	NOUN
app01-9218	151	8	of	of	ADP
app01-9218	151	9	all	all	DET
app01-9218	151	10	possible	possible	ADJ
app01-9218	151	11	situations	situation	NOUN
app01-9218	151	12	,	,	PUNCT
app01-9218	151	13	which	which	PRON
app01-9218	151	14	can	can	AUX
app01-9218	151	15	lead	lead	VERB
app01-9218	151	16	to	to	ADP
app01-9218	151	17	exceeding	exceed	VERB
app01-9218	151	18	the	the	DET
app01-9218	151	19	tensile	tensile	NOUN
app01-9218	151	20	strength	strength	NOUN
app01-9218	151	21	and	and	CCONJ
app01-9218	151	22	failing	fail	VERB
app01-9218	151	23	the	the	DET
app01-9218	151	24	solution	solution	NOUN
app01-9218	151	25	,	,	PUNCT
app01-9218	151	26	results	result	NOUN
app01-9218	151	27	in	in	ADP
app01-9218	151	28	the	the	DET
app01-9218	151	29	complex	complex	ADJ
app01-9218	151	30	algorithm	algorithm	NOUN
app01-9218	151	31	further	far	ADV
app01-9218	151	32	complicated	complicate	VERB
app01-9218	151	33	by	by	ADP
app01-9218	151	34	the	the	DET
app01-9218	151	35	assumption	assumption	NOUN
app01-9218	151	36	of	of	ADP
app01-9218	151	37	associated	associated	ADJ
app01-9218	151	38	plasticity	plasticity	NOUN
app01-9218	151	39	for	for	ADP
app01-9218	151	40	tensile	tensile	NOUN
app01-9218	151	41	yielding	yield	VERB
app01-9218	151	42	.	.	PUNCT
app01-9218	152	1	this	this	DET
app01-9218	152	2	assumption	assumption	NOUN
app01-9218	152	3	becomes	become	VERB
app01-9218	152	4	active	active	ADJ
app01-9218	152	5	once	once	SCONJ
app01-9218	152	6	the	the	DET
app01-9218	152	7	two	two	NUM
app01-9218	152	8	-	-	PUNCT
app01-9218	152	9	step	step	NOUN
app01-9218	152	10	return	return	NOUN
app01-9218	152	11	procedure	procedure	NOUN
app01-9218	152	12	onto	onto	ADP
app01-9218	152	13	the	the	DET
app01-9218	152	14	hb	hb	PROPN
app01-9218	152	15	surface	surface	NOUN
app01-9218	152	16	fails	fail	VERB
app01-9218	152	17	and	and	CCONJ
app01-9218	152	18	the	the	DET
app01-9218	152	19	trial	trial	NOUN
app01-9218	152	20	stress	stress	NOUN
app01-9218	152	21	is	be	AUX
app01-9218	152	22	then	then	ADV
app01-9218	152	23	brought	bring	VERB
app01-9218	152	24	back	back	ADP
app01-9218	152	25	directly	directly	ADV
app01-9218	152	26	to	to	ADP
app01-9218	152	27	the	the	DET
app01-9218	152	28	rankine	rankine	PROPN
app01-9218	152	29	yield	yield	NOUN
app01-9218	152	30	surface	surface	NOUN
app01-9218	152	31	.	.	PUNCT
app01-9218	153	1	this	this	DET
app01-9218	153	2	algorithm	algorithm	NOUN
app01-9218	153	3	was	be	AUX
app01-9218	153	4	implemented	implement	VERB
app01-9218	153	5	into	into	ADP
app01-9218	153	6	geo5	geo5	PROPN
app01-9218	153	7	fem	fem	NOUN
app01-9218	153	8	software	software	NOUN
app01-9218	153	9	and	and	CCONJ
app01-9218	153	10	thoroughly	thoroughly	ADV
app01-9218	153	11	tested	test	VERB
app01-9218	153	12	.	.	PUNCT
app01-9218	154	1	acknowledgements	acknowledgement	NOUN
app01-9218	154	2	the	the	DET
app01-9218	154	3	support	support	NOUN
app01-9218	154	4	provided	provide	VERB
app01-9218	154	5	by	by	ADP
app01-9218	154	6	the	the	DET
app01-9218	154	7	sgs	sgs	PROPN
app01-9218	154	8	project	project	NOUN
app01-9218	154	9	no	no	NOUN
app01-9218	154	10	.	.	PUNCT
app01-9218	155	1	sgs22/030	sgs22/030	PROPN
app01-9218	155	2	/	/	SYM
app01-9218	155	3	ohk1/1t/11	ohk1/1t/11	PROPN
app01-9218	155	4	and	and	CCONJ
app01-9218	155	5	by	by	ADP
app01-9218	155	6	the	the	DET
app01-9218	155	7	gačr	gačr	PROPN
app01-9218	155	8	project	project	NOUN
app01-9218	155	9	no	no	NOUN
app01-9218	155	10	.	.	NOUN
app01-9218	155	11	22	22	NUM
app01-9218	155	12	-	-	PUNCT
app01-9218	155	13	12178s	12178s	NUM
app01-9218	155	14	is	be	AUX
app01-9218	155	15	gratefully	gratefully	ADV
app01-9218	155	16	acknowledged	acknowledge	VERB
app01-9218	155	17	.	.	PUNCT
app01-9218	156	1	references	reference	NOUN
app01-9218	156	2	[	[	X
app01-9218	156	3	1	1	NUM
app01-9218	156	4	]	]	PUNCT
app01-9218	156	5	e.	e.	PROPN
app01-9218	156	6	hoek	hoek	PROPN
app01-9218	156	7	,	,	PUNCT
app01-9218	156	8	c.	c.	PROPN
app01-9218	156	9	carranza	carranza	PROPN
app01-9218	156	10	-	-	PUNCT
app01-9218	156	11	torres	torres	PROPN
app01-9218	156	12	,	,	PUNCT
app01-9218	156	13	b.	b.	PROPN
app01-9218	156	14	corkum	corkum	PROPN
app01-9218	156	15	.	.	PUNCT
app01-9218	157	1	hoek	hoek	NOUN
app01-9218	157	2	-	-	PUNCT
app01-9218	157	3	brown	brown	ADJ
app01-9218	157	4	failure	failure	NOUN
app01-9218	157	5	criterion	criterion	NOUN
app01-9218	157	6	–	–	PUNCT
app01-9218	157	7	2002	2002	NUM
app01-9218	157	8	edition	edition	NOUN
app01-9218	157	9	.	.	PUNCT
app01-9218	158	1	in	in	ADP
app01-9218	158	2	proceedings	proceeding	NOUN
app01-9218	158	3	of	of	ADP
app01-9218	158	4	the	the	DET
app01-9218	158	5	5th	5th	ADJ
app01-9218	158	6	north	north	NOUN
app01-9218	158	7	american	american	ADJ
app01-9218	158	8	rock	rock	NOUN
app01-9218	158	9	mechanics	mechanic	NOUN
app01-9218	158	10	symposium	symposium	NOUN
app01-9218	158	11	–	–	PUNCT
app01-9218	158	12	narms	narm	NOUN
app01-9218	158	13	-	-	PUNCT
app01-9218	158	14	tac	tac	NOUN
app01-9218	158	15	,	,	PUNCT
app01-9218	158	16	pp	pp	X
app01-9218	158	17	.	.	PUNCT
app01-9218	159	1	267–273	267–273	NUM
app01-9218	159	2	.	.	PUNCT
app01-9218	160	1	2002	2002	NUM
app01-9218	160	2	.	.	PUNCT
app01-9218	161	1	[	[	X
app01-9218	161	2	2	2	X
app01-9218	161	3	]	]	X
app01-9218	161	4	t.	t.	PROPN
app01-9218	161	5	poklopová	poklopová	PROPN
app01-9218	161	6	,	,	PUNCT
app01-9218	161	7	m.	m.	NOUN
app01-9218	161	8	šejnoha	šejnoha	PROPN
app01-9218	161	9	.	.	PUNCT
app01-9218	162	1	comparing	compare	VERB
app01-9218	162	2	the	the	DET
app01-9218	162	3	hoek	hoek	NOUN
app01-9218	162	4	-	-	PUNCT
app01-9218	162	5	brown	brown	PROPN
app01-9218	162	6	and	and	CCONJ
app01-9218	162	7	mohr	mohr	PROPN
app01-9218	162	8	-	-	PUNCT
app01-9218	162	9	coulomb	coulomb	PROPN
app01-9218	162	10	failure	failure	NOUN
app01-9218	162	11	criteria	criterion	NOUN
app01-9218	162	12	in	in	ADP
app01-9218	162	13	fem	fem	NOUN
app01-9218	162	14	analysis	analysis	NOUN
app01-9218	162	15	.	.	PUNCT
app01-9218	163	1	in	in	ADP
app01-9218	163	2	acta	acta	PROPN
app01-9218	163	3	polytechnica	polytechnica	PROPN
app01-9218	163	4	ctu	ctu	NOUN
app01-9218	163	5	proceedings	proceeding	NOUN
app01-9218	163	6	,	,	PUNCT
app01-9218	163	7	vol	vol	NOUN
app01-9218	163	8	.	.	PROPN
app01-9218	163	9	30	30	NUM
app01-9218	163	10	,	,	PUNCT
app01-9218	163	11	pp	pp	ADJ
app01-9218	163	12	.	.	PUNCT
app01-9218	164	1	69–75	69–75	NUM
app01-9218	164	2	.	.	NOUN
app01-9218	164	3	2021	2021	NUM
app01-9218	164	4	.	.	PUNCT
app01-9218	165	1	https://doi.org/10.14311/app.2021.30.0069	https://doi.org/10.14311/app.2021.30.0069	NOUN
app01-9218	165	2	[	[	X
app01-9218	165	3	3	3	NUM
app01-9218	165	4	]	]	X
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app01-9218	166	3	-	-	SYM
app01-9218	166	4	09	09	NUM
app01-9218	166	5	-	-	SYM
app01-9218	166	6	13	13	NUM
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app01-9218	170	8	sciences	science	NOUN
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app01-9218	170	10	,	,	PUNCT
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app01-9218	171	11	.	.	PUNCT
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app01-9218	173	8	.	.	PUNCT
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app01-9218	180	11	model	model	NOUN
app01-9218	180	12	.	.	PUNCT
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app01-9218	181	2	and	and	CCONJ
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app01-9218	183	10	-	-	PUNCT
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app01-9218	183	12	for	for	ADP
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app01-9218	187	7	-	-	PUNCT
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app01-9218	188	2	journal	journal	PROPN
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app01-9218	189	2	122	122	NUM
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app01-9218	189	8	https://doi.org/10.1061/(asce)1532-3641(2008)8:4(253	https://doi.org/10.1061/(asce)1532-3641(2008)8:4(253	NUM
app01-9218	189	9	)	)	PUNCT
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app01-9218	189	20	1	1	NUM
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