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Quasi-static crack propagation with a Griffith criterion using a variational discrete element method

7 Jan 2021arXiv:2101.02763links table onlyarchive 2025-07-28

Frédéric Marazzato, Alexandre Ern, Laurent Monasse

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A variational discrete element method is applied to simulate quasi-static crack propagation. Cracks are considered to propagate between the mesh cells through the mesh facets. The elastic behaviour is parametrized by the continuous mechanical parameters (Young modulus and Poisson ratio). A discrete energetic cracking criterion coupled to a discrete kinking criterion guide the cracking process. Two-dimensional numerical examples are presented to illustrate the robustness and versatility of the method.

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