Rock engineering applications of importance today include slope stability, radioactive waste disposal, geothermal energy extraction, underground excavations that include tunneling, mining, CO 2 storage, and coal gasification, and many other topics. Important aspects of these applications include safety, environmental hazards, cost, and maintenance requirements. Rock has a heterogeneous microstructure in nature, which is made up of several minerals. The failure characteristics of the material are determined by the mechanical properties of these minerals and their interaction. Constitutive rules in material mechanics are commonly used to express these qualities, such as strength, fracture toughness, and failure pattern.Most classical rock fracture mechanics consider the rock body as a homogeneous, isotropic solid when dealing with macro scales, such as rock behavior in drilling procedures. This hypothesis ignores the impact of significant discontinuities. Regarding the complexity of rock properties, several studies were accomplished to investigate the effect of grain contacts (