Transition From Damage To Fracture With the Thick Level Set Model

Abstract eng:
Crack initiation relies mainly on damage mechanics whereas crack propagation relies on fracture mechanics involving displacement discontinuity across a propagating crack. We propose a new model bridging these two mechanisms. Damage is expressed in terms of an evolving level set. In the wake of the front (iso-zero of the level set) damage is directly related to the distance of the front with a function considered as a material data. The new model is coined Thick Level Set because not only the location of the iso-zero is useful but all values up to the critical distance (lc) beyond which the material is considered fully damaged (d=1). In the TLS model, the crack location is defined as the set of points located further than the critical distance to the front. The crack placement in the damage band is thus part of the model. The TLS was developed both from the theoretical and computational point of view in several papers listed in the

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