dc.date.accessioned 2017-05-02T07:10:24Z dc.date.available 2017-05-02T07:10:24Z dc.date.issued 2017-05-02 dc.identifier.uri urn:nbn:de:hebis:34-2017050252462 dc.identifier.uri http://hdl.handle.net/123456789/2017050252462 dc.description.sponsorship DFG-Priority Program SPP 1962, GNAMPA (INDAM) ger dc.language.iso eng dc.subject balanced viscosity eng dc.subject rate-independent system eng dc.subject damage model eng dc.subject.ddc 510 dc.title Balanced Viscosity solutions to a rate-independent system for damage eng dc.type Preprint dcterms.abstract This article is the third one in a series of papers by the authors on eng vanishing-viscosity solutions to rate-independent damage systems. While in the first two papers [KRZ13, KRZ15] the assumptions on the spatial domain $\Omega$ were kept as general as possible (i.e. nonsmooth domain with mixed boundary conditions), we assume here that $\partial\Omega$ is smooth and that the type of boundary conditions does not change. This smoother setting allows us to derive enhanced regularity spatial properties both for the displacement and damage fields. Thus, we are in a position to work with a stronger solution notion at the level of the viscous approximating system. The vanishing-viscosity analysis then leads us to obtain the existence of a stronger solution concept for the rate-independent limit system. Furthermore, in comparison to [KRZ13, KRZ15], in our vanishing-viscosity analysis we do not switch to an artificial arc-length parameterization of the trajectories but we stay with the true physical time. The resulting concept of Balanced Viscosity solution to the rate-independent damage system thus encodes a more explicit characterization of the system behavior at time discontinuities of the solution. dcterms.accessRights open access dcterms.creator Knees, Dorothee dcterms.creator Rossi, Riccarda dcterms.creator Zanini, Chiara dcterms.isPartOf Mathematische Schriften Kassel ger dcterms.isPartOf 17, 02 ger
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