On existence and approximation for a 3D model of thermally-induced phase transformations in shape-memory alloys
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1330 | |
dc.contributor.author | Mielke, Alexander | |
dc.contributor.author | Paoli, Laetitia | |
dc.contributor.author | Petrov, Adrien | |
dc.date.accessioned | 2016-03-24T17:38:22Z | |
dc.date.available | 2019-06-28T08:03:11Z | |
dc.date.issued | 2008 | |
dc.description.abstract | This paper deals with a three-dimensional model for thermal stress-induced transformations in shape-memory materials. Microstructure, like twined martensites, is described mesoscopically by a vector of internal variables containing the volume fractions of each phase. We assume that the temperature variations are prescribed. The problem is formulated mathematically within the energetic framework of rate-independent processes. An existence result is proved and temporal regularity is obtained in case of uniform convexity. We study also space-time discretizations and establish convergence of these approximations. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2800 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1994 | |
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 | Shape-memory materials | eng |
dc.subject.other | rate-independent energetic formulation | eng |
dc.subject.other | temperature-induced phase transformation | eng |
dc.subject.other | differentials inclusion | eng |
dc.subject.other | convergence for space-time discretization... | eng |
dc.title | On existence and approximation for a 3D model of thermally-induced phase transformations in shape-memory alloys | 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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