About: Existence and uniqueness results for a class of dynamic elasto-plastic contact problems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This paper focuses on a dynamical model for the motion of a visco-elasto-plastic body in contact with an elasto-plastic obstacle. The elastoplastic constitutive laws as well as the contact boundary condition are stated in terms of hysteresis operators. Under appropriate regularity assumptions on the initial data, we show that the resulting partial differential equation with hysteresis possesses a unique solution which is constructed by Galerkin approximations and the Minty trick. In the 1D case, the existence and uniqueness proof can be carried out without the viscosity assumption, and the necessary a priori estimates are derived from a hysteresis second order energy inequality. This paper focuses on a dynamical model for the motion of a visco-elasto-plastic body in contact with an elasto-plastic obstacle. The elastoplastic constitutive laws as well as the contact boundary condition are stated in terms of hysteresis operators. Under appropriate regularity assumptions on the initial data, we show that the resulting partial differential equation with hysteresis possesses a unique solution which is constructed by Galerkin approximations and the Minty trick. In the 1D case, the existence and uniqueness proof can be carried out without the viscosity assumption, and the necessary a priori estimates are derived from a hysteresis second order energy inequality. (en)
Title	Existence and uniqueness results for a class of dynamic elasto-plastic contact problems Existence and uniqueness results for a class of dynamic elasto-plastic contact problems (en)
skos:prefLabel	Existence and uniqueness results for a class of dynamic elasto-plastic contact problems Existence and uniqueness results for a class of dynamic elasto-plastic contact problems (en)
skos:notation	RIV/67985840:_____/13:00394925!RIV14-GA0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP201/10/2315)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Krejčí, Pavel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	73905
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/13:00394925
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	contact with friction; elasto-plasticity; hysteresis operators (en)
http://linked.open.../riv/klicoveSlovo	contact with friction hysteresis operators elasto-plasticity
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[B96150B13152]
http://linked.open...i/riv/nazevZdroje	Journal of Mathematical Analysis and Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Matematické modelování procesů v hysterézních materiálech
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	408
http://linked.open...iv/tvurceVysledku	Krejčí, Pavel Petrov, A.
http://linked.open...ain/vavai/riv/wos	000322685000012
issn	0022-247X
number of pages	15 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.jmaa.2013.03.072

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