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Initially, a contact between a rigid rough surface and a homogeneous elastic half-space without taking into account the mutual influence of microasperities is considered. To determine the dependence of the density of gaps in the joint 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. To determine the volume of intercontact space, the volumes of gaps attributable to the single contacting or noncontacting asperities are determined. In this case the equations describing the sections of surfaces of contacting or noncontacting asperities and the half-space under load are used. Then we consider a contact between a rigid rough surface and a layered half-space consisted of the coating with thickness δ1 and the substrate. By using the stiffness model of a layered half-space, the elastic characteristic are determined for every contacting asperity. The system of transcendental equations which allow to determine the dependence of the density of gaps in case of contact through coating layer on the roughness parameters, material properties, coating thickness and applied load is given. The characteristic curves showing the dependence of the density of gaps in the joint for different coating thickness are given.

The Density of Gaps in the Seal Joint in Elastic Contact of Microasperities