Transient thermoelastic problem in a long circular cylinder with temperature dependent properties

Abstract

The thermal and mechanical properties of materials vary with temperature, so the temperature dependence of materials must be taken into consideration in the thermal stress analysis of modern structural elements. This paper is concerned with a transient thermoelastic problem in a long circular cylinder exhibiting temperature-dependent thermal and mechanical properties. This problem is solved by the perturbation method. The fundamantal problem for the perturbation method may be treated by the thermoelastic potential function and Love's function, and the n-th problem can be solved by displacement functions.