期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 317, 期 -, 页码 649-683出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.12.035
关键词
Phase-field; Fracture mechanics; Polyconvexity; Finite deformations; Isogeometric analysis
资金
- Deutsche Forschungsgemeinschaft (DFG) [HE5943/61, BE2285/9-1, SPP 1748, HE5943/5-1, WE2525/5-1]
- Seer Cymru National Research Network for Advanced Engineering and Materials
Variationally consistent phase-field methods have been shown to be able to predict complex three-dimensional crack patterns. However, current computational methodologies in the context of large deformations lack the necessary numerical stability to ensure robustness in different loading scenarios. In this work, we present a novel formulation for finite strain polyconvex elasticity by introducing a new anisotropic split based on the principal invariants of the right Cauchy-Green tensor, which always ensures polyconvexity of the resulting strain energy function. The presented phase-field approach is embedded in a sophisticated isogeometrical framework with hierarchical refinement for three-dimensional problems using a fourth order Cahn-Hilliard crack density functional with higher-order convergence rates for fracture problems. Additionally, we introduce for the first time a Hu-Washizu mixed variational formulation in the context of phase-field problems, which permits the novel introduction of a variationally consistent stress-driven split. The new polyconvex phase-field fracture formulation guarantees numerical stability for the full range of deformations and for arbitrary hyperelastic materials. (C) 2017 Elsevier B.V. All rights reserved.
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