Convergence of solutions of kinetic variational inequalities in the rate-independent quasi-static limit

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dc.bibliographicCitation.volume1322
dc.contributor.authorMielke, Alexander
dc.contributor.authorPetrov, Adrien
dc.contributor.authorMartins, João A.C.
dc.date.accessioned2016-03-24T17:38:22Z
dc.date.available2019-06-28T08:03:13Z
dc.date.issued2008
dc.description.abstractThis paper discusses the convergence of kinetic variational inequalities to rate-independent quasi-static variational inequalities. Mathematical formulations as well as existence and uniqueness results for kinetic and rate-independent quasi-static problems are provided. Sharp a priori estimates for the kinetic problem are derived that imply that the kinetic solutions converge to the rate-independent ones, when the size of initial perturbations and the rate of application of the forces tends to 0. An application to three-dimensional elastic-plastic systems with hardening is given.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn0946-8633
dc.identifier.urihttps://doi.org/10.34657/2159
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/1999
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1322, ISSN 0946-8633eng
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subjectRate-independent processeseng
dc.subjectquasi-static problemseng
dc.subjectdifferential inclusionseng
dc.subjectelastoplasticityeng
dc.subjecthardeningeng
dc.subjectvariational formulationseng
dc.subjectslow time scaleeng
dc.subject.ddc510eng
dc.titleConvergence of solutions of kinetic variational inequalities in the rate-independent quasi-static limiteng
dc.typereporteng
dc.typeTexteng
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastikeng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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