Sliding frictional contact analysis of a monoclinic coating/isotropic substrate system

•The analytical method and finite element analysis for the sliding frictional contact mechanics problem is developed.•The solution methodology is presented for three different cases of the index of the problem where corresponding to cylindrical, parabolic and flat punch profiles.•Stress intensity factors for rigid parabolic and flat punch profiles are investigated using both methods.•A numerically efficient finite element code (FEM) is developed which uses Augmented Lagrange contact algorithm.•FEM results and analytical results are perfectly matching.•Effects of lamina orientation and coating material type on the stresses are presented. Owing to innovative developments and the need to satisfy the requirements of engineering applications, new and improved materials are investigated by engineers to compensate for the drawbacks of conventional materials. There is an urgent need for the tribology community to properly investigate the behavior of these materials before utilizing them in real life. In this study, the sliding frictional contact between a monoclinic coating/isotropic substrate system and a rigid cylindrical punch is provided using an analytical formulation and finite element method (FEM). The analytical expressions for the stress and displacement fields are presented, and the resulting singular integral equations (SIEs) are solved numerically. Details of the analytical formulation and the discretization used in the solution method for the SIEs are also presented. For obtaining the numerical solution, an augmented finite element method is used with plane strain conditions and 6-node higher order finite elements. According to the results, the analytical formulation and FEM results are consistent. Using different lamina orientations, coefficient of friction, and geometric/material parameters, provides the tribology community with a highly qualified parametric study that informs surface wear and surface fatigue crack initiation in contact mechanics problems