Equilibrium Configurations For Nonhomogeneous Linearly Elastic Materials With Surface Discontinuities - Archive ouverte HAL
Article Dans Une Revue Annali della Scuola Normale Superiore di Pisa, Classe di Scienze Année : 2023

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)

Identifiants

Citer

Antonin Chambolle, Vito Crismale. Equilibrium Configurations For Nonhomogeneous Linearly Elastic Materials With Surface Discontinuities. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2023, XXIV (3), pp.1575-1610. ⟨10.2422/2036-2145.202006_002⟩. ⟨hal-02667936v2⟩
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