English

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

Numerical Analysis 2022-02-18 v3 Computational Engineering, Finance, and Science Numerical Analysis

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.

Keywords

Cite

@article{arxiv.2101.02763,
  title  = {Quasi-static crack propagation with a Griffith criterion using a variational discrete element method},
  author = {Frédéric Marazzato and Alexandre Ern and Laurent Monasse},
  journal= {arXiv preprint arXiv:2101.02763},
  year   = {2022}
}

Comments

19 pages, 20 figures

R2 v1 2026-06-23T21:53:54.247Z