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

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.