Analysis of a Viscous Two-Field Gradient Damage Model II: Penalization Limit

  • Christian Meyer

    Technische Universität Dortmund, Germany
  • Livia Mihaela Susu

    Universität Duisburg-Essen, Germany
Analysis of a Viscous Two-Field Gradient Damage Model II: Penalization Limit cover

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Abstract

A viscous partial damage model is considered which features two damage variables coupled through a penalty term in the stored energy functional. While the well-posedness of the model was shown in a companion paper, this work analyses the behaviour of the model as the penalization parameter tends to in finity. It turns out that in the limit both damage variables coincide and satisfy a classical viscous damage model.

Cite this article

Christian Meyer, Livia Mihaela Susu, Analysis of a Viscous Two-Field Gradient Damage Model II: Penalization Limit. Z. Anal. Anwend. 38 (2019), no. 4, pp. 439–474

DOI 10.4171/ZAA/1645