Approximation schemes for materials with discontinuities

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dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2799
dc.contributor.authorBartels, Sören
dc.contributor.authorMilicevic, Marijo
dc.contributor.authorThomas, Marita
dc.contributor.authorTornquist, Sven
dc.contributor.authorWeber, Nico
dc.date.accessioned2022-06-30T13:24:03Z
dc.date.available2022-06-30T13:24:03Z
dc.date.issued2020
dc.description.abstractDamage and fracture phenomena are related to the evolution of discontinuities both in space and in time. This contribution deals with methods from mathematical and numerical analysis to handle these: Suitable mathematical formulations and time-discrete schemes for problems with discontinuities in time are presented. For the treatment of problems with discontinuities in space, the focus lies on FE-methods for minimization problems in the space of functions of bounded variation. The developed methods are used to introduce fully discrete schemes for a rate-independent damage model and for the viscous approximation of a model for dynamic phase-field fracture. Convergence of the schemes is discussed.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/9449
dc.identifier.urihttps://doi.org/10.34657/8487
dc.language.isoeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2799
dc.relation.hasversionhttps://doi.org/10.1007/978-3-030-92672-4_17
dc.relation.issn2198-5855
dc.rights.licenseThis 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.licenseDieses 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.ddc510
dc.subject.otherVisco-elastodynamic damageeng
dc.subject.otherAmbrosio-Tortorelli model for phase-field fractureeng
dc.subject.otherviscous evolutioneng
dc.subject.otherrate-independent limiteng
dc.subject.otherpartial damageeng
dc.subject.otherdamage evolution with gradient regularizationeng
dc.subject.othersemistable energetic solutionseng
dc.subject.othernumerical approximationeng
dc.subject.otheriterative solutioneng
dc.subject.otherdamage evolution with spatial regularizationeng
dc.subject.otherfunctions of bounded variationeng
dc.titleApproximation schemes for materials with discontinuitieseng
dc.typeReporteng
dc.typeTexteng
dcterms.extent44 S.
tib.accessRightsopenAccess
wgl.contributorWIAS
wgl.subjectMathematik
wgl.typeReport / Forschungsbericht / Arbeitspapier
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