A STOCHASTIC JUMP AND DETERMINISTIC DYNAMICS MODEL OF IMPACT FAILURE EVOLUTION WITH RATE EFFECT

Motivated by the observation of the rate effect on material failure, a model of nonlinear and nonlocal evolution is developed, that includes both stochastic and dynamic effects. In phase space a transitional re gion prevails, which distinguishes the failure behavior from a globall y stable one to that of catastrophic. Several probability functions ar e found to characterize the distinctive features of evolution due to d ifferent degrees of nucleation, growth and coalescence rates. The resu lts may provide a better understanding of material failure.