| Title | Quasistatic evolution in non-associative plasticity - the cap models |
| Publication Type | Journal Article |
| Year of Publication | 2012 |
| Authors | Babadjian, J-F, Francfort, GA, Mora, MG |
| Journal | SIAM Journal on Mathematical Analysis 44, nr. 1 (2012) 245-292 |
| Keywords | Elasto-plasticity |
| 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. |
| URL | http://hdl.handle.net/1963/4139 |
| DOI | 10.1137/110823511 |