Behr, Florian and Dolzmann, Georg and Hackl, Klaus and Jezdan, Ghina (2023) Analytical and numerical relaxation results for models in soil mechanics. CONTINUUM MECHANICS AND THERMODYNAMICS, 35 (5). pp. 2019-2041. ISSN 0935-1175, 1432-0959
Full text not available from this repository. (Request a copy)Abstract
A variational model of pressure-dependent plasticity employing a time-incremental setting is introduced. A novel formulation of the dissipation potential allows one to construct the condensed energy in a variationally consistent manner. For a one-dimensional model problem, an explicit expression for the quasiconvex envelope can be found which turns out to be essentially independent of the original pressure-dependent yield surface. The model problem can be extended to higher dimensions in an empirical manner. Numerical simulation exhibits well-posed behavior showing mesh-independent results.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ENERGY MINIMIZATION; FINITE; MICROSTRUCTURES; EVOLUTION; APPROXIMATION; PRINCIPLES; POTENTIALS; Pressure-dependent plasticity; Relaxation; Convex envelope; Microstructures |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Mar 2024 11:41 |
| Last Modified: | 14 Mar 2024 11:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/60094 |
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