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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F13%3A00394925%21RIV14-GA0-67985840
rdf:type
n3:Vysledek skos:Concept
dcterms: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.
dcterms: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
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
skos:notation
RIV/67985840:_____/13:00394925!RIV14-GA0-67985840
n3:predkladatel
n4:ico%3A67985840
n5:aktivita
n16:I n16:P
n5:aktivity
I, P(GAP201/10/2315)
n5:cisloPeriodika
1
n5:dodaniDat
n12:2014
n5:domaciTvurceVysledku
n11:6410847
n5:druhVysledku
n15:J
n5:duvernostUdaju
n18:S
n5:entitaPredkladatele
n19:predkladatel
n5:idSjednocenehoVysledku
73905
n5:idVysledku
RIV/67985840:_____/13:00394925
n5:jazykVysledku
n13:eng
n5:klicovaSlova
contact with friction; elasto-plasticity; hysteresis operators
n5:klicoveSlovo
n6:hysteresis%20operators n6:elasto-plasticity n6:contact%20with%20friction
n5:kodStatuVydavatele
US - Spojené státy americké
n5:kontrolniKodProRIV
[B96150B13152]
n5:nazevZdroje
Journal of Mathematical Analysis and Applications
n5:obor
n17:BA
n5:pocetDomacichTvurcuVysledku
1
n5:pocetTvurcuVysledku
2
n5:projekt
n7:GAP201%2F10%2F2315
n5:rokUplatneniVysledku
n12:2013
n5:svazekPeriodika
408
n5:tvurceVysledku
Petrov, A. Krejčí, Pavel
n5:wos
000322685000012
s:issn
0022-247X
s:numberOfPages
15
n10:doi
10.1016/j.jmaa.2013.03.072