Prandtl–Reuss dynamical elasto-perfect plasticity without safe-load conditions

In this article we study the existence theory to the Prandtl–Reuss dynamical model of elasto-perfect plasticity with non-homogeneous mixed boundary conditions. By using only the Yosida approximation of inelastic constitutive multifunction we are able to prove the existence of solutions without assum...

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Veröffentlicht in:Nonlinear analysis 2020-03, Vol.192, p.111678, Article 111678
Hauptverfasser: Kisiel, Konrad, Chełmiński, Krzysztof
Format: Artikel
Sprache:eng
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Zusammenfassung:In this article we study the existence theory to the Prandtl–Reuss dynamical model of elasto-perfect plasticity with non-homogeneous mixed boundary conditions. By using only the Yosida approximation of inelastic constitutive multifunction we are able to prove the existence of solutions without assuming any kind of safe-load conditions, which are quite common in the theory of elasto-perfect plasticity.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2019.111678