Three Dimensional Rough Surface Contact Model for the Anisotropic Half-Plane

By applying the line integral of Barnett-Lothe tensors on oblique planes, the three-dimensional rough surface contact problem for a semi-infinite anisotropic elastic half-plane in contact with a rough rigid sphere is formulated. The steady-state heat transfer condition is assumed and the technique of analytical continuation is employed. The general solutions due to varying degrees of anisotropy and mechanical boundary conditions are obtained.