Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 239, Issue 3, Pages 1501-1576Publisher
SPRINGER
DOI: 10.1007/s00205-020-01597-1
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Funding
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [211504053 - CRC 1060]
- Fondation Sciences Mathematiques de Paris
- Emergence Sorbonne Universite
- Sephora-Berrebi Foundation
- PEPS CNRS 2019 Evolution quasi-statique de la rupture cohesive a travers une approche de champ de phase
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In this paper, a notion of irreversibility for crack evolution in the presence of cohesive forces is proposed, allowing for different responses in loading and unloading processes. Motivated by a variational approximation with damage models, its applicability to constructing quasi-static evolution in a simple one-dimensional model is investigated. The cohesive fracture model arises naturally via Gamma-convergence from a phase-field model of the generalized Ambrosio-Tortorelli type, which can be used as regularization for numerical simulations.
In this paper we propose a notion of irreversibility for the evolution of cracks in the presence of cohesive forces, which allows for different responses in the loading and unloading processes, motivated by a variational approximation with damage models, and we investigate its applicability to the construction of a quasi-static evolution in a simple one-dimensional model. The cohesive fracture model arises naturally via Gamma-convergence from a phase-field model of the generalized Ambrosio-Tortorelli type, which may be used as regularization for numerical simulations.
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