The avalanche process of the fiber bundle model with defect in local loading sharing

The fiber bundle model with defect is an extended model based on the classical fiber bundle model to describe the impact of the defect size and the defect density on the failure process in actual materials with defect. In order to explore the dynamic properties of the breakdown of materials with defect in short-range correlation, the model in local load sharing condition is numerically studied in detail in both uniform and Weibull threshold distribution cases. The simulation results show that both the defect size and the defect density have diverse impacts on the macroscopic mechanical properties and the statistical nature. From macroscopic view, the model parameters mainly impact the macroscopic fracture stage of the stretch process, while the initial tensile stage of the constitutive curves are almost not affected by the defect size and defect density. In the microscopic scale, the avalanche size distributions have no universality and are significantly influenced by the defect size and defect density.