Elastic stress analysis of bi-layered isotropic coatings and substrate subjected to line scratch indentation

In this study, a model is developed to predict the stresses in thin coatings induced by a line scratch indenter. In this case, the plane problem of surface loading of double elastic layers perfectly bonded to an elastic dissimilar half-plane is considered. Fundamental solutions are obtained for forces acting perpendicular and parallel to the layer surface. The stress and displacement fields are calculated for the coatings and the substrate due to these forces. These results are compared with the results of finite element method (FEM) by using ANSYS software, as well as with the results of single isotropic-coated system and an uncoated elastic half-plane. These equations are useful for ranking the coating–substrate adhesion of different coated systems, or for estimating the critical mean stress for interfacial failure.