MATHEMATICAL MODELING OF THE UNSTEADY TRIBOLOGICAL INTERACTION

Friction heating of system punchelastic half plane when sliding along creative line, is considered.In the trybological problems a contact pressure in the different points is different, so contact thermal conductivity is not constant value for this different points.Using of modified conditions of heat contact in mathematical model of contact thermoelasticity, taking into account of heat generation, is proposed.In order to obtain the unknown contact area, the iterative scheme based on a control of a sign of normal stresses in the immediate contact interaction zones is used.Method of moving line of separation of boundary conditions is proposed.The solution of problems by integral transformation is constructed.The analytical expressions for distributions of temperature and heat fluxes are obtained.