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arXiv · 2212.11783

Analytical and numerical relaxation results for models in soil mechanics

Florian Behr·Georg Dolzmann·Klaus Hackl·Ghina Jezdan
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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 exhibit well-posed behavior showing mesh-independent results.

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Florian Behr, Georg Dolzmann, Klaus Hackl, Ghina Jezdan. 2022-11-24. Analytical and numerical relaxation results for models in soil mechanics. https://doi.org/10.1007/s00161-023-01225-9

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