论文标题
损坏动力,$ g $ - 融合,动态均质化,阈值条件
Damage dynamics, $G$-Convergence, Homogenization in dynamics, Threshold Conditions
论文作者
论文摘要
在本文中,我们通过各种表述构建弹性动力学问题的解决方案,其中包括弹性材料的损害影响。结果是带有时间依赖性操作员的波方程,该算子代表材料受损坏的弹性系数。我们构建的动力学还满足阈值条件,其阈值相同,表征了损坏的准静态演变(参见\ cite {gl})。
In this paper we construct, by means of a variational formulation, the solutions of a problem of elastodynamics which includes the effect of damage for the elastic material. The result is a wave equation with time dependent operators which represents the elastic coefficients of the material undergoing damage. The dynamics that we construct also satisfies a threshold condition with the same threshold value that characterizes the quasi-static evolution of damage (see \cite{GL}).