Non-local approximation of free-discontinuity problems in linear elasticity
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In this talk I will focus on Γ-convergence of general non-local convolution type functionals with varying densities depending on the space variable and on the symmetrized gradient. The limit is a local free-discontinuity functional, where the bulk term can be completely characterized in terms of an asymptotic cell formula. From that, we can deduce an homogenization result in the stochastic setting.