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

被引:3
|
作者
Kisiel, Konrad [1 ]
Chelminski, Krzysztof [1 ]
机构
[1] Warsaw Univ Technol, Fac Math & Informat Sci, Koszykowa 75, PL-00662 Warsaw, Poland
关键词
Prandtl-Reuss model; Yosida approximation; Perfect plasticity; Safe-load condition; Mixed boundary conditions; COERCIVE APPROXIMATIONS; POROPLASTICITY MODEL; GRADIENT-TYPE; EXISTENCE; DEFORMATION; CONVERGENCE; EVOLUTION;
D O I
10.1016/j.na.2019.111678
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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. (C) 2019 Elsevier Ltd. All rights reserved.
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页数:28
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