Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892087 | Computers & Mathematics with Applications | 2018 | 19 Pages |
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.
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Computer Science (General)
Authors
Stefano Micheletti, Simona Perotto, Marianna Signorini,