Dynamical poroplasticity model - Existence theory for gradient type nonlinearities with Lipschitz perturbations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:450

Article

Kisiel, Konrad¹ 

[1] Warsaw Univ Technol, Fac Math & Informat Sci, Koszykowa 75, PL-00662 Warsaw, Poland

关键词: Biot model;    Coercive approximation;    Inelastic deformation;    Gradient type operator;    Poroplasticity;   

DOI  :  10.1016/j.jmaa.2017.01.045

来源: Elsevier

【 摘 要 】

In this article we study existence theory to a non-coercive fully dynamic model of poroplasticity with the non-homogeneous boundary conditions where the constitutive function is a continuous element of class GM (it is a sum of a maximal monotone map G and a globally Lipschitz map 1). Without any additional growth conditions we are able to prove the existence of a solution such that the inelastic constitutive equation is satisfied in the measure-valued sense. Moreover, if G is a gradient of a differentiable convex function, then there exists a solution such that the constitutive equation is satisfied almost everywhere. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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