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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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https://hal.archives-ouvertes.fr/hal-00564009
Contributor : Jean-François Babadjian Connect in order to contact the contributor
Submitted on : Thursday, April 4, 2013 - 3:20:40 PM
Last modification on : Monday, December 14, 2020 - 9:42:51 AM
Long-term archiving on: : Friday, July 5, 2013 - 4:18:40 AM

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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, Society for Industrial and Applied Mathematics, 2012, 44 (1), pp.245-292. ⟨10.1137/110823511⟩. ⟨hal-00564009v2⟩

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