A Comparative Study of Backtracking Strategies for Variational Phase-Field Quasi–Brittle Fracture Models
DOI:
https://doi.org/10.70567/mc.v42.ocsid8332Keywords:
Variational model of fracture, Gradient–damege model, Energetic bounds, BacktrackingAbstract
This article compares two backtracking strategies designed to improve the quality of numerical solutions of a variational phase-field model for quasi-brittle fracture. The first strategy corresponds to the classical reinitialization method proposed by Bourdin (2007), whose effectiveness has been validated in various scenarios, and which assumes the exclusive application of Dirichlet-type boundary conditions with monotonic variation. The second strategy relaxes this assumption and is based on properties of the global minimizer, expressed in the form of two energy bounds. Based on a benchmark problem, both strategies are compared. Since it is not possible to determine a priori which of them generally provides better results, a hybrid algorithm is proposed that adaptively combines both strategies, aiming to leverage the advantages of each depending on the characteristics of the problem under consideration.
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