Balanced-Viscosity solutions to infinite-dimensional multi-rate systems
dc.bibliographicCitation.volume | 2902 | |
dc.contributor.author | Mielke, Alexander | |
dc.contributor.author | Rossi, Riccarda | |
dc.date.accessioned | 2022-07-05T14:37:19Z | |
dc.date.available | 2022-07-05T14:37:19Z | |
dc.date.issued | 2021 | |
dc.description.abstract | We consider generalized gradient systems with rate-independent and rate-dependent dissipation potentials. We provide a general framework for performing a vanishing-viscosity limit leading to the notion of parametrized and true Balanced-Viscosity solutions that include a precise description of the jump behavior developing in this limit. Distinguishing an elastic variable $u$ having a viscous damping with relaxation time $eps^alpha$ and an internal variable $z$ with relaxation time $eps$ we obtain different limits for the three cases $alpha in (0,1)$, $alpha=1$ and $alpha>1$. An application to a delamination problem shows that the theory is general enough to treat nontrivial models in continuum mechanics. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9620 | |
dc.identifier.uri | https://doi.org/10.34657/8658 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2902 | |
dc.relation.issn | 2198-5855 | |
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 | Balanced-Viscosity solution | eng |
dc.subject | reparametrized solutions | eng |
dc.subject | energy-dissipation principle | eng |
dc.subject | generalized gradient systems | eng |
dc.subject | delamination model | eng |
dc.subject.ddc | 510 | |
dc.title | Balanced-Viscosity solutions to infinite-dimensional multi-rate systems | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dcterms.extent | 84 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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