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Journal Articles SIAM Journal on Mathematical Analysis Year : 2012

Quasistatic evolution in non-associative plasticity - The cap model

Abstract

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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Dates and versions

hal-00564009 , version 1 (07-02-2011)
hal-00564009 , version 2 (04-04-2013)

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Jean-François Babadjian, Gilles A. Francfort, Maria Giovanna Mora. Quasistatic evolution in non-associative plasticity - The cap model. SIAM Journal on Mathematical Analysis, 2012, 44 (1), pp.245-292. ⟨10.1137/110823511⟩. ⟨hal-00564009v2⟩
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