Coupling rate-independent and rate-dependent processes: Existence results
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2123 | |
dc.contributor.author | Rossi, Riccarda | |
dc.contributor.author | Thomas, Marita | |
dc.date.accessioned | 2016-12-13T10:46:40Z | |
dc.date.available | 2019-06-28T08:22:56Z | |
dc.date.issued | 2015 | |
dc.description.abstract | We 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. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2193 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3343 | |
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 | gradient systems | eng |
dc.subject.other | inertia | eng |
dc.subject.other | energetic solutions | eng |
dc.subject.other | existence results | eng |
dc.subject.other | time-discretization | eng |
dc.subject.other | generalized standard solids | eng |
dc.title | Coupling rate-independent and rate-dependent processes: Existence results | 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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