JournalszaaVol. 38, No. 3pp. 249–286

Analysis of a Viscous Two-Field Gradient Damage Model I: Existence and Uniqueness

  • Christian Meyer

    Technische Universität Dortmund, Germany
  • Livia Mihaela Susu

    Technische Universität Dortmund, Germany
Analysis of a Viscous Two-Field Gradient Damage Model I: Existence and Uniqueness cover
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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 suciently large. Moreover, the regularity of the unique solution is investigated, in particular the di erentiability 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