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Quasistatic evolution in non-associative plasticity - the cap models

TitleQuasistatic evolution in non-associative plasticity - the cap models
Publication TypeJournal Article
Year of Publication2012
AuthorsBabadjian, J-F, Francfort, GA, Mora, MG
JournalSIAM Journal on Mathematical Analysis 44, nr. 1 (2012) 245-292

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.


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