论文标题
在线性弹性和随机均质化中应用自由差异问题的非本地近似
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
论文作者
论文摘要
我们根据空间变量和对称梯度分析一般非本地卷积类型功能的$γ$ - 连接。极限是局部自由遗体功能，可以完全以渐近细胞公式来完全表征整体项。由此，我们可以在随机环境中推断出均质化。
We analyse the $Γ$-convergence of general non-local convolution type functionals with varying densities depending on the space variable and on the symmetrized gradient. The limit is a local free-discontinuity functional, where the bulk term can be completely characterized in terms of an asymptotic cell formula. From that, we can deduce an homogenisation result in the stochastic setting.
