Stitching of Semi -Infinite Cracks with Band Width

In this paper, the problem of cracks in practice is transformed into the splicing problem of half-infinite crack with a width. Based on the knowledge of fracture mechanics, the stress and displacement boundary conditions of the model are presented, and the singular integral equations accord with these conditions are established. By the singular integral equation theories the complex singular integral equations are reduced to a integral equation on crack only. The theoretical solution to the equation exists and is unique. Using Gauss -Legendre quadrature formula to discrete equations. At last, the simulation of the solution made by MATLAB visualized gives the trend of crack displacement along with variation of the external force of crack, the distance between crack and splicing line.