A thick level set approach to model evolving damage and transition to fracture

Paul Emile Bernard (1) , Nicolas Moes (1) , Claude Stolz (2) , Nicolas Chevaugeon (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique
2 LMS - Laboratoire de mécanique des solides

Local damage models are known to suffer from spurious localization and present therefore a high sensitivity to the mesh. Several damage models were proposed in the literature to avoid these issues [1], as for instance non-local damage models [2, 3] or higher order gradients models [4, 5]. We proposed a new approach for damage growth modeling in solids [6], using level set functions to represent the damaged zones. The damage front is then located on the iso-zero of the level set. Its propagation can be described in terms of the energy along the front while its curvature is used to introduce a characteristic length in the model.

Domaines: Mécanique des solides [physics.class-ph]

Paul Emile Bernard, Nicolas Moes, Claude Stolz, Nicolas Chevaugeon. A thick level set approach to model evolving damage and transition to fracture. ECCM 2010 - The 4th European Conference on Computational Mechanics, ECCOMAS; AFM/CSMA, May 2010, Paris, France. ⟨hal-01154912⟩