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 infinity. It turns out that in the limit both damage variables coincide and satisfy a classical viscous damage model.
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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. 439–474DOI 10.4171/ZAA/1645