Contact interaction between a rigid die and an elastic layer in nonstationary frictional heat generation

Abstract

Consideration is given to a new quasistatic contact thermoelasticity problem for an elastic layer fixed at its base and on whose surface a rigid heat-insulated die moves, when the interaction of the bodies is accompanied by the heat generation from the action of friction forces. Under the assumption that the process of heat generation is nonstationary, the problem has been reduced to an integral equation with integration limits varying with time. It has been shown that an increase in the heat-generation intensity produces a decrease in the upsetting of the die and equilibrium is possible for its negative values with decrease in the contact portion; for a die with a plane base this is equivalent to the separation of the body from the layer at the edges of the interaction interval.