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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
The adhesive contact problem of a functionally graded coated half-space indented by a rigid spherical punch is considered. The whole contact region is assumed stick with the interfacial friction sufficiently large to prevent any slip from taking place between the indenter and the half space. The linear multi-layered model is used to model the functional graded coating with arbitrarily varying shear modulus and constant Poisson’s ratio under axisymmetric loads. By using the transfer matrix method and Hankel integral transform technique, the problem is reduced to a set of Cauchy singular integral equations. An iterative method is developed to solve singular integral equations numerically. Normal contact pressure and tangential tractions in the whole contact region are calculated. It is found that appropriate gradual variation of the shear modulus can significantly alter the contact traction.