| Abstract: |
| We prove that De Giorgi's conjecture for nonlocal approximation of free discontinuity problems extends to the case of functionals defined in terms of the symmetric gradient of the admissible field. For a suitable class of continuous finite difference functionals, we show the compactness of deformations with equibounded energies, as well as their Gamma convergence. The compactness (and closure) analysis builds on a Fr\`echet-Kolmogorov approach and a novel characterization of GSBD. |
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