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- W2753204195 abstract "Quasi-static crack propagation in brittle materials is modeled via the Ambrosio–Tortorelli approximation. The crack is modeled by a smooth phase-field, defined on the whole computational domain. Since the crack is confined to a thin layer, the employment of anisotropic adapted grids is shown to be a really effective tool in containing computational costs. We extend the anisotropic error analysis, applied to the classical Ambrosio–Tortorelli approximation by Artina et al., to the generalized Ambrosio–Tortorelli functional, where a unified framework for several elasticity laws is dealt with as well as a non-convex fracture energy can be accommodated. After deriving an anisotropic a posteriori error estimator, we devise an algorithm which alternates optimization and mesh adaptation. Both anti-plane and plane-strain configurations are numerically checked." @default.
- W2753204195 created "2017-09-15" @default.
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- W2753204195 date "2018-03-01" @default.
- W2753204195 modified "2023-09-29" @default.
- W2753204195 title "Anisotropic mesh adaptation for the generalized Ambrosio–Tortorelli functional with application to brittle fracture" @default.
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- W2753204195 doi "https://doi.org/10.1016/j.camwa.2017.08.009" @default.
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