Numerical Construction of Energy-Theoretic Crack Propagation based on a Localized Francfort-Marigo Model

We simulate straight crack propagation using idea from the classical Griÿth theory and Francfort-Marigo energy. According to the energy-theoretic model proposed by Francfort and Marigo, propagation of a straight crack is described by means of sum of elastic and surface energies. We modify the Francfort-Marigo model by replacing the global minimum by a local one in order to be consistent with the Griÿth theory. We numerically construct some energy-theoretic propagation of straight cracks using finite element method and show some discontinuous growth behaviour of the crack.Selected Papers from the International Symposium on Computational Science - International Symposium on Computational Science Kanazawa University, Japa