A numerical simulation of damage evolution in a two-dimensional system of microcracks is presented. It reveals that the failure is induced by a cascade of coalescences of microcracks, and the fracture surface appears ...A numerical simulation of damage evolution in a two-dimensional system of microcracks is presented. It reveals that the failure is induced by a cascade of coalescences of microcracks, and the fracture surface appears fractal. A model of evolution-induced catastrophe is introduced. The fractal dimension is found to be a function of evolution rule only. This result could qualitatively explain the correlation of fractal dimension and fracture toughness discovered in experiments.展开更多
基金Project supported by the National Basic Research Project "Nonlinear Science" and the National Natural Science Foundation of China.
文摘A numerical simulation of damage evolution in a two-dimensional system of microcracks is presented. It reveals that the failure is induced by a cascade of coalescences of microcracks, and the fracture surface appears fractal. A model of evolution-induced catastrophe is introduced. The fractal dimension is found to be a function of evolution rule only. This result could qualitatively explain the correlation of fractal dimension and fracture toughness discovered in experiments.