THE UNSTEADY AXISYMMETRICAL CONTACT PROBLEM WITH HEAT-GENERATION

Unlike previous papers [1-3], where steady contact problems of thermoe lasticity were investigated, an unsteady contact problem for a stiff f inite cylinder with a plane base is considered. The cylinder is clampe d to an elastic half-space and is rotated around its axis with constan t angular velocity. Heat generation due to friction over the contact a rea, non-ideal thermal contact between the bodies and heat exchange wi th the surroundings from the free surfaces is assumed. A Laplace trans formation with respect to the time coordinate, a Hankel transformation with respect to the radial coordinate for the half-space and the meth od of straight lines for the cylinder are used to solve the problem. T he temperature and thermal flux fields in the cylinder and in the half -space, the contact stresses and the displacements of the half-space a re determined. The problem is analysed for values of the input paramet ers which do not allow any change with time in boundary conditions. (C ) 1998 Elsevier Science Ltd. All rights reserved.