| Abstract: | We consider a two-dimensional quasistatic problem of the stress-strain state and dissipative heating of a hollow circular
viscoelastic cylinder subjected to the action of two, normal diametrically opposite loads moving along the surface of the
cylinder with constant angular velocity. It is assumed that the physicomechanical properties of the material are independent
of temperature. In this case, the combined problem of thermoviscoelasticity splits into two linear problems: the problem of
the stress-strain state of the cylinder without axial symmetry and the axisymmetric problem of heat conduction with temperature
averaged over a cycle and a known heat source. The exact solutions of these problems are obtained. The influence of both the
coefficient of heat transfer on the inner boundary of the cylinder and the sizes of the cylinder on the temperature of dissipative
heating are investigated.
Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Problemy Prochnosti,
No. 2, pp. 67–73, March–April, 1999. |
