Conti, Sergio and Dolzmann, Georg (2014) Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 24 (14). pp. 2929-2942. ISSN 0218-2025, 1793-6314
Full text not available from this repository. (Request a copy)Abstract
We consider a two-dimensional problem in nonlinear elasticity which corresponds to the cubic-to-tetragonal phase transformation. Our model is frame invariant and the energy density is given by the squared distance from two potential wells. We obtain the quasiconvex envelope of the energy density and therefore the relaxation of the variational problem. Our result includes the constraint of positive determinant.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CRYSTAL PLASTICITY; NEMATIC ELASTOMERS; 2-WELL PROBLEM; MICROSTRUCTURE; MINIMIZERS; BEHAVIOR; Cubic-to-tetragonal phase transformation; quasiconvexity; relaxation |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Aug 2019 12:38 |
| Last Modified: | 07 Aug 2019 12:38 |
| URI: | https://pred.uni-regensburg.de/id/eprint/9179 |
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