ON THE PUNCTURED ELASTIC WELDING PROBLEMS OF DIFFERENT ANISOTROPIC MEDIA

0 IntroductionThe mathematical problems of fracture of compound materials are very important on practical applica-tions. In this paper, we study the plane welding problems of different anisotropic media with holes,theshape of holes and the interface are arbitrary smooth contours. At first, we establish mathematical models,change it into searching complex stress functions, next, we reduce the primitive problems into boundaryvalue problems, and construct the form of solution, under some general restrictions it is reduced to certainsingular integral equations, finally, the existence and the uniqueness of the solution of which are estab-lished.1 The Representation Formula of Complex Stress