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Quasi-static Evolution in Nonassociative Plasticity: The Cap Model
J.-F. Babadjian, G. A. Francfort, M. G. Mora
Source abstract
Nonassociative elasto-plasticity is the working model of plasticity for soil and rock mechanics. Yet, it is usually viewed as nonvariational. 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.
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