Please use this identifier to cite or link to this item: https://oar.tib.eu/jspui/handle/123456789/3343
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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.contributor.authorRossi, Riccarda
dc.contributor.authorThomas, Marita
dc.date.accessioned2016-12-13T10:46:40Z
dc.date.available2019-06-28T08:22:56Z
dc.date.issued2015
dc.identifier.urihttps://oar.tib.eu/jspui/handle/123456789/3343
dc.identifier.urihttp://dx.doi.org/10.34657/2193-
dc.description.abstractWe address the analysis of an abstract system coupling a rate-independent process with a second order (in time) nonlinear evolution equation. We propose suitable weak solution concepts and obtain existence results by passing to the limit in carefully devised time-discretization schemes. Our arguments combine techniques from the theory of gradient systems with the toolbox for rate-independent evolution, thus reflecting the mixed character of the problem. Finally, we discuss applications to a class of rate-independent processes in visco-elastic solids with inertia, and to a recently proposed model for damage with plasticity.
dc.formatapplication/pdf
dc.languageeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2123, ISSN 2198-5855-
dc.subjectRate-independent processes
dc.subjectgradient systems
dc.subjectinertia
dc.subjectenergetic solutions
dc.subjectexistence results
dc.subjecttime-discretization
dc.subjectgeneralized standard solids
dc.subject.ddc510
dc.titleCoupling rate-independent and rate-dependent processes: Existence results
dc.typereport-
dc.typeText-
dc.description.versionpublishedVersioneng
local.accessRightsopenAccess-
wgl.contributorWIASger
wgl.subjectMathematikger
wgl.typeReport / Forschungsbericht / Arbeitspapierger
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik-
local.identifier.doihttp://dx.doi.org/10.34657/2193-
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