Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

Babadjian, Jean-Francois¹  Mora, Maria Giovanna² 

[1] Univ Paris Saclay, Lab Math Orsay, Univ Paris Sud, CNRS, F-91405 Orsay, France

[2] Univ Pavia, Dipartimento Matemat, Via Ferrata 1, I-27100 Pavia, Italy

关键词: Elasto-plasticity;    Convex analysis;    Quasi-static evolution;    Regularity;    Functions of bounded deformation;    Capacity;   

DOI  :  10.1016/j.jde.2017.12.034

来源: Elsevier

【 摘 要 】

This work is devoted to establishing a regularity result for the stress tensor in quasi-static planar isotropic linearly elastic-perfectly plastic materials obeying a Drucker-Prager or Mohr-Coulomb yield criterion. Under suitable assumptions on the data, it is proved that the stress tensor has a spatial gradient that is locally squared integrable. As a corollary, the usual measure theoretical flow rule is expressed in a strong form using the quasi-continuous representative of the stress. (c) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free