The failure mechanics consider factors such as stress concentration, stress intensity factors, and critical crack sizes, and the contents of this book help engineers assess structural integrity and prevent catastrophic failures. In this book, comprehensive studies on the principles of fracture mechanics and crack propagation classical methods can provide a good understanding of the stability of rock structures and lead to the safe and economical design of rock engineering projects. In this book, a case study of the expansion of damaged zones in the rock mass is modeled based on the principles of fracture mechanics and the smeared crack model using the finite difference element method.