Thermoelastic contact problem for a layer interacting with a rigid substrate under transient frictional heat generation conditions

A thermoelastic problem has been solved for the interaction between an elastic layer and a rigid substrate from which a body may come off under localized pressing load. The paper addresses the influence of an accompanying transient frictional heat generation and functional relation of a pressing load on the process of the layer displacement over the surface of a heat-insulated substrate. It is demonstrated that an increase in heat generation intensity reduces the contact area, where the time variation of the latter is governed by selection of a load function and a motion speed function: if the load is time dependent, the contact area remains unchanged; if the speed varies, the contact area exhibits a monotonic reduction.