Conti, Sergio and Dolzmann, Georg and Kreisbeck, Carolin (2013) RELAXATION OF A MODEL IN FINITE PLASTICITY WITH TWO SLIP SYSTEMS. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 23 (11). pp. 2111-2128. ISSN 0218-2025, 1793-6314
Full text not available from this repository. (Request a copy)Abstract
The macroscopic material response of a variational model in geometrically nonlinear elasto-plasticity with two active slip systems, rigid elasticity, and hardening is determined. In particular, an explicit formula for the relaxation of the underlying energy density is given, both in the two-dimensional and a related three-dimensional setting. Finally, it is shown that the assumption of elastically rigid material behavior is justified since models with rigid elasticity can be obtained as G-limits of models with finite elastic energy for diverging moduli of elasticity.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CRYSTAL PLASTICITY; NEMATIC ELASTOMERS; MICROSTRUCTURE; Relaxation; single crystal plasticity; microstructure; G-convergence |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Mar 2020 11:23 |
| Last Modified: | 31 Mar 2020 11:23 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16009 |
Actions (login required)
 |
View Item |
