Dv. Grilitskii et Vi. Pauk, THE PLANE CONTACT PROBLEM OF STEADY THERMOELASTICITY TAKING HEAT-GENERATION INTO ACCOUNT, Journal of applied mathematics and mechanics, 61(6), 1997, pp. 1007-1012
The plane steady contact problem of thermoelasticity when there is hea
t generation from friction, which arises when an infinite cylindrical
punch moves over the surface of an elastic half-space along its genera
trix, is considered. It is assumed that heat exchange between the free
boundary of the half-space and the surrounding medium obeys Newton's
law, while the condition for ideal thermal contact exists in the regio
n in which the solids interact. The problem is reduced to a system of
three integral equations in the heat fluxes and temperature. The effec
t of the thermal and mechanical properties of the cylinder and the hal
f-space on the main contact characteristics is investigated numericall
y. (C) 1998 Elsevier Science Ltd. All rights reserved.