Marziani, RobertaSolombrino, Francesco2024-08-122024-08-122023-06-08http://hdl.handle.net/2003/4264410.17877/DE290R-24481We analyse the 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 homogenisation result in the stochastic setting.enProceedings / Royal Society of Edinburgh / Section A, Mathematics;https://creativecommons.org/licenses/by/4.0/non-local approximationvariational fracturefree discontinuity problemsfunctions of bounded deformationsΓ-convergencedeterministic and stochastic homogenisation510Article