Crossover behavior in the avalanche process of the fiber bundle model in local load sharing

The crossover behavior near the catastrophic failure in the avalanche process of fiber bundle model in local load sharing condition is numerically investigated by dividing the tensile stretching process into several segments. In every segment of the tensile process, the fracture parameters, such as the number of fracture fibers, the energy emission, the avalanche size and its distribution, are calculated respectively. The results illustrate that the evolution of the fracture process from the initial tensile stage to the final fracture can be well described by a power law relationship or a simple quadratic polynomial. In the vicinity of the catastrophic failure, the avalanche size distribution appear crossover behavior with two different power law exponents, which provides a possible route for theoretically predicting the catastrophic fracture of materials.