Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities

Published 31 May 2020 in math.AP and math.FA | (2006.00480v2)

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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