Axially symmetric problem of local separation of an elastic half-space from a rigid base due to a point source of cooling

An axially symmetric problem on the unilateral frictionless contact of an elastic half-space and a rigid thermally insulated base under the action of a subsurface source of cooling, which leads to local loss of contact over a circular region, is considered. The intensity of the source at which the local loss of contacts begins is determined. The dependence of the geometrical parameters of the gap between the surfaces of the bodies on the intensity of the source of cooling and its location relative to the surface is analyzed in detail.