Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation

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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.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.identifier.urihttp://hdl.handle.net/2003/42644
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-24481
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.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
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1017/prm.2023.51de

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