Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities

2020/05/31 by Antonin Chambolle, Chambolle, Antonin, Vito Crismale +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #math.AP #math.FA

paper · pdf · doi:10.48550/arxiv.2006.00480

arxiv created 2021/10/05 · arxiv updated 2021/10/06

Abstract

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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