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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F15%3A00435823%21RIV15-GA0-67985840
rdf:type
n12:Vysledek skos:Concept
dcterms:description
This paper deals with a dynamical model for the motion of a one-dimensional visco-elasto-plastic body in contact with an elasto-plastic obstacle and undergoing thermal expansion. The problem for the unknown displacement and temperature is rewritten in accordance with the formalism of hysteresis operators as solution operators of the underlying variational inequalities. The system consists of the momentum balance and energy balance equations. The existence result for this thermodynamically consistent problem is obtained by using some a priori estimates established for the space discretized problem while the uniqueness result follows from the Lipschitz continuity of the nonlinearities. This paper deals with a dynamical model for the motion of a one-dimensional visco-elasto-plastic body in contact with an elasto-plastic obstacle and undergoing thermal expansion. The problem for the unknown displacement and temperature is rewritten in accordance with the formalism of hysteresis operators as solution operators of the underlying variational inequalities. The system consists of the momentum balance and energy balance equations. The existence result for this thermodynamically consistent problem is obtained by using some a priori estimates established for the space discretized problem while the uniqueness result follows from the Lipschitz continuity of the nonlinearities.
dcterms:title
Elasto-plastic contact problems with heat exchange Elasto-plastic contact problems with heat exchange
skos:prefLabel
Elasto-plastic contact problems with heat exchange Elasto-plastic contact problems with heat exchange
skos:notation
RIV/67985840:_____/15:00435823!RIV15-GA0-67985840
n4:aktivita
n13:I n13:P
n4:aktivity
I, P(GAP201/10/2315)
n4:cisloPeriodika
April
n4:dodaniDat
n14:2015
n4:domaciTvurceVysledku
n18:6410847
n4:druhVysledku
n10:J
n4:duvernostUdaju
n15:S
n4:entitaPredkladatele
n7:predkladatel
n4:idSjednocenehoVysledku
120
n4:idVysledku
RIV/67985840:_____/15:00435823
n4:jazykVysledku
n9:eng
n4:klicovaSlova
elasto-plasticity; heat equation; hysteresis operators
n4:klicoveSlovo
n6:heat%20equation n6:elasto-plasticity n6:hysteresis%20operators
n4:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n4:kontrolniKodProRIV
[529A50F4F0A4]
n4:nazevZdroje
Nonlinear Analysis: Real World Applications
n4:obor
n16:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
2
n4:projekt
n17:GAP201%2F10%2F2315
n4:rokUplatneniVysledku
n14:2015
n4:svazekPeriodika
22
n4:tvurceVysledku
Petrov, A. Krejčí, Pavel
n4:wos
000346545700038
s:issn
1468-1218
s:numberOfPages
17
n11:doi
10.1016/j.nonrwa.2014.09.013