As mentioned in the previous chapters, cyclic dynamic disturbance can induce damage and failure of rocks under high stress, but the use of numerical simulation to reproduce this process is still one of the current research difficulties. The cyclic dynamic disturbance experiments are often expensive and time-consuming. The theoretical models always show a departure from experimental observation because of the oversimplification of the rock breaking mechanism. Hence, numerical techniques based on continuum methods such as the finite element method (FEM), the discontinuous method such as discrete element method (DEM), and the hybrid method such as FEM-DEM, which are economical and convenient alternatives, offer new avenues to mimic the failure process of rock materials subjected to cyclic loading–unloading. A summary of different numerical methods applied to modeling rock materials’ behavior under cyclic loading by some researchers is provided in Table 7.1.