Fracture Mechanics: Mixed-Mode Energy Release Rate

This lecture covers the concept of fracture mechanics, focusing on the energy release rate in mixed-mode loading conditions. The instructor explains the different modes of crack growth, such as opening and shear, and discusses the critical stress intensity factors for each mode. Various asymptotic fields at the crack for general loading are analyzed. The lecture also delves into the topic of anti-plane shear and tearing in brittle materials. Computational modeling of crack growth and delamination problems in fiber-reinforced composites is explored, along with the construction of cohesive zone models. The presentation concludes with a discussion on the direction of crack growth and the critical energy release rate for mixed-mode loading.