Calculus of Variations and Geometric Measure Theory

A. Demyanov

Regularity of stresses in Prandtl-Reuss perfect plasticity

created by demyanov on 04 May 2007
modified on 05 May 2007



Inserted: 4 may 2007
Last Updated: 5 may 2007

Year: 2007


We study the differential properties of solutions of the Prandtl-Reuss model. We prove that the stress tensor has locally square-integrable first derivatives. The result is based on discretization of time and uniform estimates of solutions of the incremental problems, which generalize the estimates in the case of Hencky perfect plasticity. Counterexamples to the regularity of displacements and plastic strains in the quasistatic case are presented.

Keywords: quasistatic evolution, rate independent processes, Prandtl-Reuss plasticity, regularity of solutions