Crossover of Failure Time Distributions in a Model of Time-Dependent Fracture

An important question in the theory of fracture is what kind lifetime distributions may exist for materials under load. Here, this studied context a one-dimensional model with local load sharing constant external load, “creep.” Simulations system Weibull distributed initial lifetimes elements show that limiting distribution follows from extreme statistics and takes Gumbel form eventually, longer crossovers size Weibull-like distribution, depending on exponent.