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The frictional contact between two solids, one of which having a periodically grooved surface, under the action of normal and shear load is investigated. The interface between the contacting solids consists of a periodic array of gas-filled gaps and a periodic array of contact regions, where stick-slip contact occurs. The corresponding plane contact problem is reduced to a set of two singular integral equations. A solution to the contact problem is obtained for a certain shape of the grooves. The analysis of dependences of contact parameters of the solids on the applied load and gas pressure is carried out.

Frictional contact of two solids with a periodically grooved surface in the presence of an ideal gas in interface gaps