Fracture of heterogeneous materials: a phase-field approach.
ABSTRACT: In this talk, I will describe recent attempts at devising a rigorous framework for the analysis and numerical simulation of crack propagation in heterogeneous materials. I will focus on the challenge of devising a mathematically sound and mechanistically coherent concept of effective toughness and computing it. I will first explain how classical theories such as homogenization fail to provide a meaningful answer to this question. Then, I will propose a framework based on the idea of computational homogenization in trajectory space. I will how it can account for new toughening...
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