Analytical and numerical relaxation results for models in soil mechanics

被引：0

作者：

Behr, Florian ^{[1
]}

Dolzmann, Georg ^{[1
]}

Hackl, Klaus ^{[2
]}

Jezdan, Ghina ^{[2
]}

机构：

[1] Univ Regensburg, Fac Math, Univstr 31,Bavaria, D-93053 Regensburg, Germany

[2] Ruhr Univ Bochum, Inst Mech Mat, Univstr 150,North Rhine-Westphalia, D-44780 Bochum, Germany

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2023年 / 35卷 / 05期

关键词：

Pressure-dependent plasticity; Relaxation; Convex envelope; Microstructures; ENERGY MINIMIZATION; FINITE; MICROSTRUCTURES; EVOLUTION; APPROXIMATION; PRINCIPLES; POTENTIALS;

D O I：

10.1007/s00161-023-01225-9

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：2019 / 2041

页数：23

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