FRICTIONLESS CONTACT OF A FUNCTIONALLY GRADED HALF-SPACE AND A RIGID BASE WITH AN AXIALLY SYMMETRIC RECESS

This paper is concerned with an axially symmetric frictionless contact between a transversely isotropic elastic functionally graded half-space and a rigid base that has a small axisymmetric surface recess. The graded half-space is modeled as a nonhomogeneous medium. We reduce the problem to solving Fredholm integral equations, solve these equations numerically and establish a relationship between the applied pressure and gap radius. The effects of anisotropy and nonhomogeneity parameter of the graded half-space on the normal pressure as well as on the critical pressure have been shown graphically.