Effect of thermomechanical coupling on thermal stress problems in a hollow circular cylinder

The problem of finding a complete solution for the transient thermal stress with considerations of the thermomechanical coupling effect and the inertia effect is one of considerable analytical difficulty. In our recent study, however, it can be seen that it is sufficient to consider only the effect of the coupling term for realistic cases. From the present paper, it may be stated that it is important to consider the coupling term, because of the coupling effect which acts visible affect on the temperature and stress distribution. This paper presents a general treatment of the axisymmetric coupled transient thermal stresses of a hollow circular cylinder with a finite length using a new technique, and numerical results are given. The method used is developed by Love's strain function and the thermoelastic displacement potential function apart from the former method deviced by the one of authors. The value of thermomechanical coupling parameter adopted in our calculation is almost for a realistic material. In spite of the reduction of the temperature rise for the whole time interval in transient state, the maximum thermal stresses are increased by the thermomechanical coupling effect. Moreover the solution rigourously meets traction-free boundary conditions on both the lateral surfaces and plane ends of the hollow circular cylinder. (orig.)