Conti, Sergio and Dolzmann, Georg (2020) Quasiconvex envelope for a model of finite elastoplasticity with one active slip system and linear hardening. CONTINUUM MECHANICS AND THERMODYNAMICS, 32 (4). pp. 1187-1196. ISSN 0935-1175, 1432-0959
Full text not available from this repository. (Request a copy)Abstract
An explicit characterization of the quasiconvex envelope of the condensed energy in a model for finite elastoplasticity is presented, both in two and in three spatial dimensions. A variational formulation of plasticity, which is appropriate for the first time step in a time discrete formulation of the evolution problem, is used, and it is assumed that only one slip system is active. The model includes a nonlinear elastic energy, which is invariant under SO(n), and an effective plastic contribution which is quadratic in the slip parameter. The quasiconvex envelope arises via the formation of first-order laminates.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CRYSTAL PLASTICITY; ENERGY MINIMIZATION; RELAXATION; MICROSTRUCTURES; DEFORMATION; SIMULATION; Quasiconvexity; Relaxation; Elastoplasticity |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 19 Mar 2021 12:37 |
| Last Modified: | 19 Mar 2021 12:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/44322 |
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