THERMOELASTIC CONTACT PROBLEM FOR A LAYER RESTING ON A RIGID FOUNDATION AT STATIONARY FRICTIONAL HEAT GENERATION

摘要

The thermoelastic problem was formulated and solved for a contact between an elastic layer and heat-insulated rigid foundation when their contact was accompanied by heat dissipation due to friction forces during displacement of the layer over the foundation with slow constant speed. The effect of compressing load and the speed of movement on the magnitude and distribution of the contact pressure and temperature of the body was studied. For the elastic problem an approximate analytical expression for contact pressure was derived. It was shown that the localized compressive load causes delami- nation of the layer from the foundation, which required that the problem formulation to be altered. The refined problem formulation was reduced to an integral equation with a logarithmic singularity of kernel. Based on the numerical studies, it was con cluded that stronger heat dissipation due to acceleration of movement reduces the contact area. Its geometry remains the same if the load increases in magnitude and its shape and size remain unchanged. This fact agrees with general features of a "smooth decreasing contact".