Abstract
The contact of a rigid rough surface and an elastic layered half-space which consists of coating with thickness δ1 and the substrate. To determine the dependence of the relative contact area on dimensionless the force elastic geometrical parameter , the discrete roughness model presented by microasperities in the form of equal spherical segments with the height distribution corresponding to the bearing profile curve of the real surface is used. By using the stiffness model of layered half-space, the elastic characteristics for every each contacting asperity are determined. The system of transcendental equations which allow to determine the dependence of the relative contact areaη1 in case of contact through coating layer on the roughness parameters, material properties, coating thickness and applied load is given. The mutual influence of the microasperities is taken into account.
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