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 mechanisms induced by heterogeneities. Finally, I will present classes of meta-materials exhibiting unconventional fracture properties.

Date: Apr 30, 2025 at 12:00:00 h
Venue: Sala Maryam Mirzakhani (Multimedia) CMM, Piso 6, Beaucheff 851 Edificio Norte.
Speaker: Blaise Bourdin
Affiliation: Department of Mathematics & Statistics McMaster University Canada Research Chair
Coordinator: Alejandro Jofré
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Posted on Apr 28, 2025 in Seminario CMM-Mineria, Seminars