On strong solutions of viscoplasticity without safe-load conditions

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Kisiel, Konrad¹  Chelminski, Krzysztof¹ 

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

关键词: Inelastic deformation theory;    Viscoplasticity;    Pointwise solutions;    Yosida approximation;    Safe-load conditions;    Mixed boundary conditions;   

DOI  :  10.1016/j.jde.2020.01.035

来源: Elsevier

【 摘 要 】

In this paper we discuss existence of pointwise solutions for dynamical models of viscoplasticity. Among other things, this work answers the question about necessity of safe-load conditions in case of viscoplasticity, which arise in the paper of K. Chelminski (2001) [11]. We proved that solutions can be obtained without assuming any kind of safe-load conditions. Moreover, in the manuscript we consider much more general model than in the above mentioned paper. Namely, we consider the model with mixed boundary conditions and we allow a possible disturbance of the inelastic constitutive function by a globally Lipschitz function. Presented approach shows that via the same methods one can prove existence of pointwise solutions for: coercive models, self-controlling models, models with polynomial growth (not necessary of single valued) and monotone-gradient type models of viscoplasticity. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free