Analysis of a Viscous Two-Field Gradient Damage Model I: Existence and Uniqueness
Christian Meyer
Technische Universität Dortmund, GermanyLivia Mihaela Susu
Technische Universität Dortmund, Germany
Abstract
The paper deals with a viscous damage model including two damage variables, a local and a non-local one, which are coupled through a penalty term in the free energy functional. Under certain regularity conditions for linear elasticity equations, existence and uniqueness of the solution is proven, provided that the penalization parameter is chosen sufficiently large. Moreover, the regularity of the unique solution is investigated, in particular the differentiability w.r.t. time.
Cite this article
Christian Meyer, Livia Mihaela Susu, Analysis of a Viscous Two-Field Gradient Damage Model I: Existence and Uniqueness. Z. Anal. Anwend. 38 (2019), no. 3, pp. 249–286
DOI 10.4171/ZAA/1637