To date, many numerical studies on rock fractures are based on complete models with simple geometric parameters, ignoring the effects of microstructures on the strength and fracture properties of rocks. It is difficult to incorporate the influences of microstructures in simulations of crack initiation, propagation and coalescence by these numerical models. Thus, to explore the fracture and failure processes of rocks under the accumulation of stress, the influences of microstructures should be considered in establishing a numerical model. Spatial data about the internal microstructures and mech...