Dynamic fracture as a process of nonlinear damage wave propagation

A new approach describing the dynamic fracture as a process of nucleation and subsequent propagation of a nonlinear wave of microfracture is proposed. The equation describing the microfracture evolution is derived from the transfer equation and a stochastic diffusion-type description of damage redistribution. The physical meaning of the corresponding parameters is clarified by the mass conservation and the incubation time criterion of fracture. Finally the process of dynamic macrocrack nucleation is simulated