论文标题
土壤力学模型的分析和数值放松结果
Analytical and numerical relaxation results for models in soil mechanics
论文作者
论文摘要
引入了采用时间内确定设置的压力依赖性可塑性的变异模型。耗散电势的新型公式使人们可以以变化一致的方式构造冷凝能。对于一维模型问题，可以找到对准包膜的显式表达式，事实证明，这基本上与原始压力依赖性产量表面无关。模型问题可以以经验方式扩展到更高的维度。数值模拟表现出良好的行为，显示出与网格无关的结果。
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.
