Pré-Publication, Document De Travail Année : 2020

EQUILIBRIUM CONFIGURATIONS FOR NONHOMOGENEOUS LINEARLY ELASTIC MATERIALS WITH SURFACE DISCONTINUITIES

Résumé

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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Dates et versions

hal-02667936 , version 1 (31-05-2020)
hal-02667936 , version 2 (07-10-2021)

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  • HAL Id : hal-02667936 , version 1

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Antonin Chambolle, Vito Crismale. EQUILIBRIUM CONFIGURATIONS FOR NONHOMOGENEOUS LINEARLY ELASTIC MATERIALS WITH SURFACE DISCONTINUITIES. 2020. ⟨hal-02667936v1⟩
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