Some Periodic Elastic Plane Problems With A Set Of Cylindrical Inclusions

Research on periodic elastic plane problems has important theoretical significance and plays an important role in the theory of fracture. In the actual design of the project, which also has an important value. However, the research is very weak,due to mathematical problems and the difficulty of the problem itself.This study has columnar inclusion cycle, elastic plane can be divided into two parts:one is mixed with cylindrical objects of thermal elastic plane problems, the cycle of thermal elastic plane problems complex-variable function method and the zoning of holomorphic functions, combining analytic function theory boundary value problem of research achievements are obtained, the above questions, as a special case closed cycle of single cylinder got the exact solutions of the inclusions. Second is the study of the cycle of columnar inclusion objects, deduced stress calculation formula of the stress intensity factor.