The Exploration Of The Two Materials Joining Together Issue With Little Of The Width Of The Discount Crack

The cracks are typical factors which undermine the stability of the objects and lead to objects fracture. Since the20th century, many scholars have studied objects with straight cracks and have explored the law of crack propagation. In engineering practice, the shape of crack is various and discount crack is one usual form of the shapes. In addition, the bonded problem of different materials is often encountered in the engineering project. This paper explores two elastic materials joining together problem with little of the width of the discount crack.This paper first introduces the theoretical basis of the status quo of the crack research, describes the basic idea in detail by using this basic formula of plane elasticity of the complex variable method. Based on this theory, the third chapter establishes the mathematical model. Then, a new integral transform is introduced, the boundary conditions are changed into the boundary value problems on the lines and cracks. Through the knowledge of complex analysis, a singular integral equation only on the crack boundary is obtained. Finally, disperse the singular integral equation, and on this basis, take the special value; use computer Matlab software to simulate the solution of the discrete equations, thus, draw the run chart of stress function with the change of various factors about the crack; analyze the above charts and ultimately get a changing rule of the crack propagation. At the end of the article, the latest outlook of this field is also discussed.