On a general treatment for coupled thermal stress problems in a cylindrical coordinate system

Summary

In this paper, we study the three-dimensional coupled thermoelastic problem governed by the cylindrical coordinate system under the consideration of the thermo-mechanical coupling effect. The basic relations for the three-dimensional displacement field and the corresponding stress components are derived from the field equations of motion. These expressions enable us to determine both the temperature and the stress distributions simultaneously. As an illustration, numerical calculations are carried out for an axisymmetrical coupled thermoelastic problem. From the numerical results it is shown that the thermomechanical coupling term appearing in the corrected heat conduction equation gives a fairly large difference between the coupled theory and the uncoupled one.

Übersicht

Es wird das dreidimensionale Wärmespannungsproblem unter Berücksichtigung der thermomechanischen Kopplung untersucht. Ausgehend von den Bewegungsgleichungen werden Temperatur und Spannungen angegeben. Zur Illustration der Methode wird ein axialsymmetrisches Problem numerisch behandelt und der Einfluß der thermo-meehanischen Kopplung auf die Wärmeleitgleichung gezeigt.