Abstract | ||
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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. |
Year | DOI | Venue |
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2012 | 10.1137/110823511 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
elasto-plasticity,functions of bounded deformation,calculus of variations,quasistatic evolution,Radon measures,duality,convex analysis | Associative property,Hydrostatic equilibrium,Mathematical analysis,Quasistatic process,Calculus of variations,Duality (optimization),Mathematics,Convex analysis,Plasticity | Journal |
Volume | Issue | ISSN |
44 | 1 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jean-François Babadjian | 1 | 2 | 1.49 |
Gilles A. Francfort | 2 | 2 | 0.96 |
Maria Giovanna Mora | 3 | 8 | 3.09 |