Stochastic model for the size distribution of dispersed cracks. Part 1. Steady-state crack growth

Abstract

Multiple fracture of loaded material surfaces is examined; under these conditions two major damage processes simultaneously take place: initiation and propagation of small dispersed cracks. The initiation of cracks was simulated as a Poisson point process with constant and time-dependent intensities. The propagation of cracks with a random velocity was described by a linear length-time function. Different types of crack growth rate distributions are examined: uniform and gamma, including the exponential one. The statistical distributions of dispersed crack lengths are similar, and in the reduced form they can be described by a generalized exponential function.