Penetration of a pyramid indenter into a multilayer coating

Abstract

A simple model of elastic–plastic penetration of a Berkovich pyramid into a multilayer coating has been developed. The model of a simply deformable body was used. It generalizes Winkler’s foundation to the case of elastic–plastic deformation of each layer. The elastic–plastic deformation of a layer was modeled by Prandtl’s bilinear approximation of a stress–strain curve. The homogenized coefficients of the elastic and plastic properties of the layer set and an analytical solution of the problem were found. The distribution of contact stress and depth of a pyramid indenter penetration were obtained for different angles.