Broken Line Blunt Crack Problem with Splicing Line

摘要

In this paper, the problem of cracks in practice is transformed into the splice problem of broken line crack with a width. Based on the knowledge of fracture mechanics, the stress and displacement boundary conditions of the model are proposed, and the singular integral equations accord with these conditions are established. By the singular integral equation theories the complex singular equations are reduced to a integral equation on cracks only. The theoretical solution to the equation exists and is unique. Then, the equation is discreted by using the Gauss formula. At last, we use MATLAB to simulate the solution to get the trend chart of the crack displacement, which is affected by external force, crack spacing and included angle. It intuitively shows the change rule of crack and all parameters.