Some remarks on a model for rate-independent damage in thermo-visco-elastodynamics
dc.bibliographicCitation.volume | 2128 | |
dc.contributor.author | Lazzaroni, Giuliano | |
dc.contributor.author | Rossi, Riccarda | |
dc.contributor.author | Thomas, Marita | |
dc.contributor.author | Toader, Rodica | |
dc.date.accessioned | 2016-12-13T10:46:43Z | |
dc.date.available | 2019-06-28T08:23:39Z | |
dc.date.issued | 2015 | |
dc.description.abstract | This note deals with the analysis of a model for partial damage, where the rate-independent, unidirectional ow rule for the damage variable is coupled with the rate-dependent heat equation, and with the momentum balance featuring inertia and viscosity according to Kelvin-Voigt rheology. The results presented here combine the approach from Roubí£ek [Rou09, Rou10] with the methods from Lazzaroni/Rossi/Thomas/Toader [LRTT14]. The present analysis encompasses, dierently from [Rou10], the monotonicity in time of damage and the dependence of the viscous tensor on damage and temperature, and, unlike [LRTT14], a nonconstant heat capacity and a time-dependent Dirichlet loading. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/3203 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3370 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2128, ISSN 2198-5855 | 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 | Partial damage | eng |
dc.subject | rate-independent systems | eng |
dc.subject | elastodynamics | eng |
dc.subject | phase-field models | eng |
dc.subject | heat equation | eng |
dc.subject | energetic solutions | eng |
dc.subject.ddc | 510 | eng |
dc.title | Some remarks on a model for rate-independent damage in thermo-visco-elastodynamics | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
Files
Original bundle
1 - 1 of 1