Deterministic Model of Elastic Rough Contact Taking into Account the Mutual Influence of Asperities

The analytical solution of the elastic contact problem for the bodies with rough surfaces is presented using a deterministic description of the surface roughness. Particularly, a model of the normal contact of a periodic system of axisymmetric punches of different heights with an elastic half-space is developed. The solution is obtained taking into account the real contact pressure distribution only under nearby ones, and considering the action of remote ones as the nominal pressure (the localization method). The effect of the shape of the punches and their spatial positions on the dependencies of the real contact area and the contact pressure distribution at the contact spots on the applied load are studied. The additional displacement function, which characterizes the effect of surface roughness on the relative approach of contacting bodies at the macrolevel, is also analysed.