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

Frédéric Marazzato (1, 2, 3) , Alexandre Ern (2, 1) , Laurent Monasse (4)

1 SERENA - Simulation for the Environment: Reliable and Efficient Numerical Algorithms
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
3 Department of Mathematics Louisiana State University
4 COFFEE - COmplex Flows For Energy and Environment

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.

Domaines: Analyse numérique [math.NA]; Mécanique des solides [physics.class-ph]

Frédéric Marazzato, Alexandre Ern, Laurent Monasse. Quasi-static crack propagation with a Griffith criterion using a discrete element method. 2021. ⟨hal-03102982v1⟩