SIMPLE ESTIMATION OF THE ELASTIC-PLASTIC DEFORMATION OF CONTACTING ASPERITIES

The elastic-plastic deformation of a contacting asperity was analysed theoretically. The validity of the theory was checked by comparison with the experimental results of an indentation test. The penetration was measured to an accuracy of 0.03 μm using an optical interferometer (Michelson type). The results of the numerical analysis are expressed approximately by a simple formula. As an example of the application of this formula to multiple contact problems, the rolling friction of a ball rolling on a rough plane was estimated theoretically and showed good agreement with experimental results. The elastic recovery of contacting asperities has a significant effect on rolling friction. © 1979.