Calculus of Variations and Geometric Measure Theory

J. F. Babadjian - M. G. Mora

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

created by mora on 16 Jan 2017


Submitted Paper

Inserted: 16 jan 2017
Last Updated: 16 jan 2017

Year: 2017


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.

Keywords: regularity, quasi-static evolution, Functions of Bounded Deformation, capacity, Elasto-Plasticity