Rate-independent damage in thermo-viscoelastic materials with inertia
dc.bibliographicCitation.volume | 2025 | |
dc.contributor.author | Lazzaroni, Giuliano | |
dc.contributor.author | Rossi, Riccarda | |
dc.contributor.author | Thomas, Marita | |
dc.contributor.author | Toader, Rodica | |
dc.date.accessioned | 2016-03-24T17:37:03Z | |
dc.date.available | 2019-06-28T08:12:57Z | |
dc.date.issued | 2014 | |
dc.description.abstract | We present a model for rate-independent, unidirectional, partial damage in visco-elastic materials with inertia and thermal effects. The damage process is modeled by means of an internal variable, governed by a rate-independent flow rule. The heat equation and the momentum balance for the displacements are coupled in a highly nonlinear way. Our assumptions on the corresponding energy functional also comprise the case of the Ambrosio-Tortorelli phase-field model (without passage to the brittle limit). We discuss a suitable weak formulation and prove an existence theorem obtained with the aid of a (partially) decoupled time-discrete scheme and variational convergence methods. We also carry out the asymptotic analysis for vanishing viscosity and inertia and obtain a fully rate-independent limit model for displacements and damage, which is independent of temperature. | |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/3077 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2900 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2025, ISSN 2198-5855 | 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.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.subject | Partial damage | |
dc.subject | rate-independent systems | |
dc.subject | elastodynamics | |
dc.subject | phase-field models | |
dc.subject | heat equation | |
dc.subject | energetic solutions | |
dc.subject | local solutions | |
dc.subject.ddc | 510 | |
dc.title | Rate-independent damage in thermo-viscoelastic materials with inertia | |
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 |
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