Variational approaches and methods for dissipative material models with multiple scales
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2084 | |
dc.contributor.author | Mielke, Alexander | |
dc.date.accessioned | 2016-03-24T17:36:54Z | |
dc.date.available | 2019-06-28T08:11:44Z | |
dc.date.issued | 2015 | |
dc.description.abstract | In a first part we consider evolutionary systems given as generalized gradient systems and discuss various variational principles that can be used to construct solutions for a given system or to derive the limit dynamics for multiscale problems. These multiscale limits are formulated in the theory of evolutionary Gamma-convergence. On the one hand we consider the a family of viscous gradient system with quadratic dissipation potentials and a wiggly energy landscape that converge to a rate-independent system. On the other hand we show how the concept of Balanced-Viscosity solution arise as in the vanishing-viscosity limit. As applications we discuss, first, the evolution of laminate microstructures in finite-strain elastoplasticity and, second, a two-phase model for shape-memory materials, where H-measures are used to construct the mutual recovery sequences needed in the existence theory. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/3470 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2826 | |
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 | Generalized gradient systems | eng |
dc.subject.other | energy-dissipation principle | eng |
dc.subject.other | evolutionary Gamma convergence | eng |
dc.subject.other | energeitc solutions | eng |
dc.subject.other | rate-independent systems | eng |
dc.subject.other | balanced-viscosity solutions | eng |
dc.subject.other | finite-strain elastoplasticity | eng |
dc.subject.other | laminate evolution | eng |
dc.title | Variational approaches and methods for dissipative material models with multiple scales | 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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