Convergence of solutions of kinetic variational inequalities in the rate-independent quasi-static limit
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1322 | |
| dc.contributor.author | Mielke, Alexander | |
| dc.contributor.author | Petrov, Adrien | |
| dc.contributor.author | Martins, João A.C. | |
| dc.date.accessioned | 2016-03-24T17:38:22Z | |
| dc.date.available | 2019-06-28T08:03:13Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | This 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.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/2159 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1999 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This 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.license | Dieses 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.subject.ddc | 510 | eng |
| dc.subject.other | Rate-independent processes | eng |
| dc.subject.other | quasi-static problems | eng |
| dc.subject.other | differential inclusions | eng |
| dc.subject.other | elastoplasticity | eng |
| dc.subject.other | hardening | eng |
| dc.subject.other | variational formulations | eng |
| dc.subject.other | slow time scale | eng |
| dc.title | Convergence of solutions of kinetic variational inequalities in the rate-independent quasi-static limit | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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