PLANE CONTACT PROBLEM ON INCLINED RECTANGULAR PUNCH-ELASTIC LAYER INTERACTION AT STATIONARY FRICTION HEAT GENERATION

摘要

The paper deals with the refinement of the classical plane problem on the interaction between the inclined rectangular punch and the elastic foundation. It was shown that the calculated displacements of the contact surface of an elastic body under classical boundary condition are not conjugated with the shape of the punch surface outside the contact (the foundation penetrates into the punch). Such behavior requires a change in the contact condition. For a punch with flat foundation, there is a solution with the logarithmic singularity of the contact stress at the discontinuity point of the slope of the profile within the range of interaction between bodies in addition to the classical root singularity of contact stress at the edges of the contact region. The study of the effect of friction heat generation on the mechanism of contact interaction between the inclined punch and the foundation shows that refinement of the boundary conditions makes significant corrections on the contact stress distribution only under force action or a low rate of heat generation. If heat generation intensifies, the punch becomes leveled, and if load is applied with eccentricity, the body is displaced in the direction of load application.