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.
Equilibrium Configurations for Nonhomogeneous Linearly Elastic Materials with Surface Discontinuities / Chambolle, Antonin; Crismale, Vito. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - (2022). [10.2422/2036-2145.202006_002]
Equilibrium Configurations for Nonhomogeneous Linearly Elastic Materials with Surface Discontinuities
Antonin Chambolle;Vito Crismale
2022
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.File allegati a questo prodotto
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