Abstract
We study the problem of contact of two elastic half planes (plane deformation), one of which has a wavy surface under the conditions of partial filling of the interface gaps with compressible liquid. The formulated contact problem is reduced to a singular integral equation for the derivative of the height of the interface gaps and its analytic solution is obtained. We axnalyze the contact behavior of this system of bodies for two different levels of loading: on the first level the volume of the gap is larger than the volume of liquid, which does not exert pressure on the surfaces of the bodies, whereas on the second level the load exceeds the threshold value after which the liquid fills the entire space and resists crack closure.
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