论文标题

与表面不连续性的非均匀线性弹性材料的平衡配置

Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities

论文作者

Chambolle, Antonin, Crismale, Vito

论文摘要

我们证明了一个紧凑性和半内向性结果,该结果适用于在迪奇特边界条件下非均匀线性弹性中最小化问题。这概括了先前的紧凑定理,我们证明并用来显示(同质)格里菲斯能量的迪里奇特问题的最小化物。

We prove a compactness and semicontinuity result that applies to minimisation problems in nonhomogeneous linear elasticity under Dirichlet boundary conditions. This generalises a previous compactness theorem that we proved and employed to show existence of minimisers for the Dirichlet problem for the (homogeneous) Griffith energy.

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