Show simple item record
dc.description.sponsorshipDFG-Priority Program SPP 1962, GNAMPA (INDAM)ger
dc.subjectbalanced viscosityeng
dc.subjectrate-independent systemeng
dc.subjectdamage modeleng
dc.titleBalanced Viscosity solutions to a rate-independent system for damageeng
dcterms.abstractThis article is the third one in a series of papers by the authors on 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.eng
dcterms.accessRightsopen access
dcterms.creatorKnees, Dorothee
dcterms.creatorRossi, Riccarda
dcterms.creatorZanini, Chiara
dcterms.isPartOfMathematische Schriften Kasselger
dcterms.isPartOf17, 02ger

Files in this item


This item appears in the following Collection(s)

Show simple item record