Receding Contact Plane Problem Between Two Layers

Contact problem exists widely in daily life. As a particular kind of contact problem, Receding contact problem gains growing concern in recent years. Although the receding contact problem for elastic material is studied as early as1960s, there are only a few research results have been obtained nowadays. Almost all the existing studies discuss about a half plane or a homogengeous substrate. Receding contact problem for functionally graded material is raised ten years ago. Until today only the receding contact problem between a functionally graded layer and a half plane or a homogeneous substrate is studied preliminary. Thus this dissertation focuses on the receding contact problem between two layers.There are five chapters in this dissertation. The first chapter is the preface. The concepts and classifications of contact problem, the developing process of contact problem for elastic material and functionally graded material, and the research situation of receding contact are respectively expounded. The main innovation points of this dissertation are described in the secend, the third and the fourth chapter. In those chapters, a receding contact problem between two elastic layers, a receding contact problem between a functionally graded layer and an elastic layer, double receding contact problem between a functionally graded layer and an elastic layer are studied respectively. Using Fourier integral transform, all those problems are converted analytically into the singular integral equation. Then the problem was solved numerically by using Gauss-Chebychev integration formulas and an iterative scheme. In the last chapter we draw a conclusion for the dissertation and indicate some possible research direction in our future works.