A model of dynamical process and stochastic jump has been put forward to study the pattern evolution in damage-fracture According to the final states of evolution processes,the evolution modes can he classified as glo...A model of dynamical process and stochastic jump has been put forward to study the pattern evolution in damage-fracture According to the final states of evolution processes,the evolution modes can he classified as globally stable modes (GS modes) and evolution induced catastrophic modes (EIC modes); the latter are responsible for fracture A statistical description is introduced to clarify the pattern eolution in this paper It is indicated that the appearance of fracture in disordered materials should be depicted In probability distribution function.展开更多
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Work supported by the National Basic Research Project Nonlinear Science
文摘A model of dynamical process and stochastic jump has been put forward to study the pattern evolution in damage-fracture According to the final states of evolution processes,the evolution modes can he classified as globally stable modes (GS modes) and evolution induced catastrophic modes (EIC modes); the latter are responsible for fracture A statistical description is introduced to clarify the pattern eolution in this paper It is indicated that the appearance of fracture in disordered materials should be depicted In probability distribution function.
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.
