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arXiv 2006.00480math.APmath.FA
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具有表面不连续性的非均匀线弹性材料的平衡位形

Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities

Antonin Chambolle, Vito Crismale

摘要:

我们证明了适用于Dirichlet边界条件下非齐次线性弹性最小化问题的紧性和半连续结果。这概括了以前的紧性定理,我们证明和使用显示存在极小的狄利克雷问题(齐次)格里菲斯能源。

英文摘要:

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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