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dc.contributor.authorMarziani, Roberta-
dc.contributor.authorSolombrino, Francesco-
dc.date.accessioned2024-08-12T11:50:03Z-
dc.date.available2024-08-12T11:50:03Z-
dc.date.issued2023-06-08-
dc.identifier.urihttp://hdl.handle.net/2003/42644-
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-24481-
dc.description.abstractWe 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.en
dc.language.isoende
dc.relation.ispartofseriesProceedings / Royal Society of Edinburgh / Section A, Mathematics;-
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/de
dc.subjectnon-local approximationen
dc.subjectvariational fractureen
dc.subjectfree discontinuity problemsen
dc.subjectfunctions of bounded deformationsen
dc.subjectΓ-convergenceen
dc.subjectdeterministic and stochastic homogenisationen
dc.subject.ddc510-
dc.titleNon-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisationen
dc.typeTextde
dc.type.publicationtypeArticlede
dcterms.accessRightsopen access-
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1017/prm.2023.51de
eldorado.secondarypublication.primarycitationMarziani R, Solombrino F. Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Published online 2023:1-35. doi:10.1017/prm.2023.51en
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