Random walk model of impact phenomena (Q1080569)

A model of the permanent distortion of an elastic material due to high velocity projectile impact is described using a random walk model, with unusual temporal statistics, of the transport of dislocations. The biased motion of dislocations in a stress field and also in a random environment is considered. A temperature dependence for certain scaling exponents is derived. The experimentally observed scaling of the total integrated momentum as well as the scaling of the penetration and strength of the shock wave with time are obtained with this model.