Statistical model for normal and tangential contact parameters of rough surfaces

A new statistical model was developed for the normal and tangential contact parameters of rough surfaces based on the elastic—plastic contact theory of asperity. Four deformed regimes of fully elastic, first elastoplastic, second elastoplastic, and fully plastic of an asperity contacting with a rigid surface were taken into account by this model. The present model reveals that the normal and tangential contact parameters of rough surfaces are determined by the material properties of rough surface, statistical parameters for surface topography, and loading. Based on the results comparison and analysis, the present model is shown to be more complete than the GW, CEB, ZMC, and CEB friction models in describing the elastic—plastic contact problems between the rough surfaces. The effects of height distribution of asperities, plasticity index, and loading on contact parameters were simulated and discussed. In addition, the Gaussian numerical results predicted by the present model were researched emphatically.