Mathematical difficulties in cohesive fracture evolution

Abstract eng:
There has been significant success over the past fifteen years in the mathematical analysis of models for Griffith fracture evolution (though the main questions are still open). However, for cohesive (Barenblatt) models, there are actually no existence results on models that predict the crack path. In this talk, I will explain why cohesive fracture is much more difficult, as well as some recent progress in overcoming these difficulties.

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