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
收藏
页码：2019 / 2041
页数：23
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