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

Autor: Walloth, Mirjam, Wollner, Winnifried
Rok vydání: 2021
Předmět:
Zdroj: SIAM J. Sci. Comput., Vol 44, 2022
Druh dokumentu: Working Paper
DOI: 10.1137/21M1427437
Popis: 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.
Databáze: arXiv