A data-driven framework for evolutionary problems in solid mechanics

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dc.contributor.authorPoelstra, Klaas
dc.contributor.authorBartel, Thorsten
dc.contributor.authorSchweizer, Ben
dc.date.accessioned2023-12-15T13:25:30Z
dc.date.available2023-12-15T13:25:30Z
dc.date.issued2022-11-17
dc.description.abstractData-driven schemes introduced a new perspective in elasticity: While certain physical principles are regarded as invariable, material models for the relation between strain and stress are replaced by data clouds of admissible pairs of these variables. A data-driven approach is of particular interest for plasticity problems, since the material modeling is even more unclear in this field. Unfortunately, so far, data-driven approaches to evolutionary problems are much less understood. We try to contribute in this area and propose an evolutionary data-driven scheme. We present a first analysis of the scheme regarding existence and data convergence. Encouraging numerical tests are also included.en
dc.identifier.urihttp://hdl.handle.net/2003/42229
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-24064
dc.language.isoende
dc.relation.ispartofseriesZAMM : journal of applied mathematics and mechanics = Zeitschrift für angewandte Mathematik und Mechanik;103(3)
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/de
dc.subject.ddc510
dc.titleA data-driven framework for evolutionary problems in solid mechanicsen
dc.typeTextde
dc.type.publicationtypeArticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationPoelstra, K., Bartel, T., Schweizer, B.: A data-driven framework for evolutionary problems in solid mechanics. Z Angew Math Mech. 103, e202100538 (2023). https://doi.org/10.1002/zamm.202100538de
eldorado.secondarypublication.primaryidentifierDOI https://doi.org/10.1002/zamm.202100538de

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