Numerical approach to a model for quasistatic damage with spatial BV-regularization
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2388 | |
dc.contributor.author | Bartels, Sören | |
dc.contributor.author | Milicevic, Marijo | |
dc.contributor.author | Thomas, Marita | |
dc.date.accessioned | 2017-05-10T23:53:34Z | |
dc.date.available | 2019-06-28T08:09:24Z | |
dc.date.issued | 2017 | |
dc.description.abstract | We address a model for rate-independent, partial, isotropic damage in quasistatic small strain linear elasticity, featuring a damage variable with spatial BV-regularization. Discrete solutions are obtained using an alternate time-discrete scheme and the Variable-ADMM algorithm to solve the constrained nonsmooth optimization problem that determines the damage variable at each time step. We prove convergence of the method and show that discrete solutions approximate a semistable energetic solution of the rate-independent system. Moreover, we present our numerical results for two benchmark problems. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2772 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2648 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2388 | |
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 | Partial damage | eng |
dc.subject.other | damage evolution with spatial regularization | eng |
dc.subject.other | functions of bounded variation | eng |
dc.subject.other | semistable energetic solutions | eng |
dc.subject.other | numerical approximation | eng |
dc.title | Numerical approach to a model for quasistatic damage with spatial BV-regularization | 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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