Dynamical poroplasticity model with mixed boundary conditions Theory for LM-type nonlinearity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:443

Article

Kisiel, Konrad¹  Kosiba, Kamil² 

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

[2] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

关键词: Yosida approximation;    Coercive approximation;    Energy method;    Inelastic deformation theory;    Monotone operator;    Poroplasticity;   

DOI  :  10.1016/j.jmaa.2016.05.013

来源: Elsevier

【 摘 要 】

We investigate the existence theory to the non-coercive fully dynamic model of poroplasticity with nonhomogeneous mixed boundary condition and constitutive equation which belongs to the class LM. Existence of the solution to this model is proved by using the coercive and Yosida approximations under the lowest possible assumptions about LM-type nonlinearity of non-gradient type. Under higher assumptions about the constitutive equation and boundary conditions (see Section 7) we obtain uniqueness and higher regularity of the solutions. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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