The Exploration of the Stress with a Width Crack on Semi-infinite Plane Boundary

This paper discusses a static problem of elastic semi-infinite plane with a width crack. We put forward the boundary condition by the force analysis of the actual physical model, and establish the integral equation on the boundary crack L°, + L1 by using the D.I. Sherman method, which is based on the relevant elastic mechanics knowledge. Then by inverse transformation the original problem is reduced to the singular integral equations on crack L1, which is discreted by using the Gauss formula afterwards, to get the numerical solution of it. Finally, we use MATLAB to simulate the numerical solution to get the trend chart of the crack displacement, which is affected by external force and crack inclination angle. It intuitively shows the change rule of crack and all parameters.