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arXiv · 2106.09469

A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints

Mirjam Walloth·Winnifried Wollner
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Abstract

Within this article, we develop a residual type a posteriori error estimator for a time discrete quasi-static phase-field fracture model. Particular emphasize is given to the robustness of the error estimator for the variational inequality governing the phase-field evolution with respect to the phase-field regularization parameter $\epsilon$. The article concludes with numerical examples highlighting the performance of the proposed a posteriori error estimators on three standard test cases; the single edge notched tension and shear test as well as the L-shaped panel test.

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Mirjam Walloth, Winnifried Wollner. 2021-06-17. A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints. https://doi.org/10.1137/21m1427437

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