ABSTRACT
This chapter treats one-dimensional problems of cylindrical bodies due to axi-symmetric temperature fields to demonstrate how to use the solution techniques. Various techniques are introduced to determine steady and transient thermal stresses in 1D, 2D, and 3D solid and hollow cylinders. The displacement technique, which is one of the most common techniques for thermal stress field determination, is applied to the solution of 1D problems of cylindrical bodies. In this context, the thermal stress function, the thermoelastic potential technique, the complex variable method, the reciprocal theory, and the dislocation techniques are presented. The steady thermal stress field of infinitely long solid cylinders and the transient thermal stress for circular plates are obtained with the same thermal stress function technique. Next, 2D problems, both steady and transient, are treated with the Goodier's thermoelastic displacement potential and the Michell's function. Finally, 3D problems in cylindrical coordinates are expressed in terms of the Goodier's thermoelastic displacement potential and the Boussinesq harmonic functions.
