Statistical crack mechanics

An alternative to the use of plasticity theory to characterize the inelastic behavior of solids is to represent the flaws by statistical methods. We have taken such an approach to study fragmentation because it offers a number of advantages. Foremost among these is that by considering the effects of flaws it becomes possible to address the underlying physics directly. For example, we have been able to explain why rocks exhibit large strain rate effects (a consequence of the finite growth rate of cracks), why a spherical explosive imbedded in oil shale produces a cavity with a nearly square section (opening of bedding cracks), and why propellants may detonate following low speed impact (a consequence of…