Conti, Sergio and Dolzmann, Georg and Kreisbeck, Carolin (2013) RELAXATION AND MICROSTRUCTURE IN A MODEL FOR FINITE CRYSTAL PLASTICITY WITH ONE SLIP SYSTEM IN THREE DIMENSIONS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 6 (1). pp. 1-16. ISSN 1937-1632, 1937-1179
Full text not available from this repository. (Request a copy)Abstract
Modern theories in crystal plasticity are based on a multiplicative decomposition of the deformation gradient into an elastic and a plastic part. The free energy of the associated variational problems is given by the sum of an elastic and a plastic energy. For a model with one slip system in a three-dimensional setting it is shown that the relaxation of the model with rigid elasticity can be approximated in the sense of F-convergence by models with finite elastic energy and diverging elastic constants.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Single-crystal plasticity; relaxation; microstructure; F-convergence |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Apr 2020 09:53 |
| Last Modified: | 28 Apr 2020 09:53 |
| URI: | https://pred.uni-regensburg.de/id/eprint/17262 |
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