Thermally induced local slip of contacting solids in vicinity of surface groove

The thermoelasticity stick–slip contact problem for semi-infinite solids, one of which possesses a surface groove, is considered. The local slip of boundaries occurs in the vicinity of arisen intersurface gap due to different thermal deformations of the opposite faces caused by the temperature jump. By making use of complex potentials method, the corresponding plane contact problem is reduced to a set of three singular integral equations. The analytical solution is constructed for certain shape of the groove. The contact normal and tangential stresses are analyzed along with the parameters of the gap and slip zones, and their dependencies on mechanical and thermal loading.