Numerical modeling of material failure remains a formidable challenge to the computational mechanics community. Apparently, the pure continuum-based numerical methods are not able to accurately predict the material failure taking place at the finer scale. In this talk, three advanced numerical methods - Smoothed Particle Galerkin (SPG) method, Peridynamics and Extended Finite Element Method (XFEM), are introduced to bypass the numerical limitations in material failure analysis. Various material failure problems including brittle, semi-brittle and ductile fracture in solids, structures and composites are discussed. While most multiscale methods are focused on the models of intact materials, bridging different length scales utilizing those advanced numerical methods in material failure analysis has become an emergent need for industrial applications. In this talk, the development of a two-scale modeling of material failure in large-scale computations such as crashworthiness simulation will also be addressed.
Update : April 10, 2018