The Exploration Of The Stress With A Width Crack On Semi-infinite Plane Boundary

Recently, some scholars have studied the subject on fracture mechanics actively, and made remarkable achievements in this field. They always explored the crack model without width. But the famous physicist, Mr. Chen Chi, found the crack with width in the experiment, and published viewpoint about the crack with width in the 1970s in his paper.The paper is based on this background. The static problem in elastic semi-infinite plane with a width edgecrack has been discussed. The first part of the article is the introduction. It describes the fracture mechanics research background, the linear elastic fracture mechanics theory and the developments about the width cracks.The second part briefly introduces the basic knowledge on linear elasticity mechanics. It makes preparations for the following model building. The third chapter in this paper points out the model boundary condition, and establishs the edgecrack model equation by the D. I. Sherman Methods. Then it is to simplify the model into singular integral equation question on a crack. To obtain the numerical solution of equations, the fourth chapter introduces the relevant basic theory and methods. The equation is dispersed by using the Gauss quadrature formula. In chapter five, a numerical example is given. The Complex Airy functions, the normal stress and shear stress trends are drawn by Matlab. These trends reflect intuitively the changes of the crack tip. Finally, the last part summarizes the mechanical characteristics that the physical parameters of the model reflects, and introduces the prospect.