Calculus of Variations and Geometric Measure Theory

J. F. Babadjian - G. A. Francfort - M. G. Mora

Quasistatic evolution in non-associative plasticity - the cap model

created by mora on 03 Feb 2011
modified on 09 Jul 2012


Published Paper

Inserted: 3 feb 2011
Last Updated: 9 jul 2012

Journal: SIAM J. Math. Anal.
Volume: 44
Pages: 245-292
Year: 2012


Non-associative elasto-plasticity is the working model of plasticity for soil and rocks mechanics. Yet, it is usually viewed as non-variational. In this work, we prove a contrario the existence of a variational evolution for such a model under a natural capping assumption on the hydrostatic stresses and a less natural mollification of the stress admissibility constraint. The obtained elasto-plastic evolution is expressed for times that are conveniently rescaled.

Keywords: quasistatic evolution, rate-independent processes, Functions of Bounded Deformation, Elasto-Plasticity