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

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Abstract

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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Notes

  1. https://github.com/marazzaf/DEM_cracking.git.

  2. https://scipy.org/.

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Acknowledgements

Partial support by CEA is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA

    Frédéric Marazzato

  2. CERMICS, Ecole des Ponts, 77455, Marne-la-Vallée, France

    Frédéric Marazzato & Alexandre Ern

  3. Inria, 2 Rue Simone Iff, 75589, Paris, France

    Frédéric Marazzato & Alexandre Ern

  4. CNRS, LJAD, EPC COFFEE, Inria, Université Côte d’Azur, 06108, Nice, France

    Laurent Monasse

Authors
  1. Frédéric Marazzato
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  2. Alexandre Ern
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  3. Laurent Monasse
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Correspondence to Frédéric Marazzato.

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Marazzato, F., Ern, A. & Monasse, L. Quasi-static crack propagation with a Griffith criterion using a variational discrete element method. Comput Mech 69, 527–539 (2022). https://doi.org/10.1007/s00466-021-02102-5

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  • DOI: https://doi.org/10.1007/s00466-021-02102-5

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