Analytical and numerical relaxation results for models in soil mechanics
| Autor: | Behr, Florian, Dolzmann, Georg, Hackl, Klaus, Jezdan, Ghina |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00161-023-01225-9 |
| Popis: | 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 exhibit well-posed behavior showing mesh-independent results. Comment: Submitted to Cont. Mech. Thermodyn |
| Databáze: | arXiv |
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