It is because the matrix arrangement cement lining steel shear which have large elastic-plsatic deformation, yield deformation and slip body, as well as existing multiple complex nonlinear and coupling that traditional methods have not been able to meet the analysis requirements. Therefore, The coupled theory based on elastic mechanics, fracture mechanics and brittle fracture was put forward by considering the change" elastic deformation-plastic yield-shear fracture", and having in-depth discussion about the sheear process. Eventually, a complete mathematical model of matrix arrangement cement...