Coupled transient thermoelastic response in an axi-symmetric circular cylinder by Laplace transform-finite element method

A powerful general finite element model is proposed to deal with the transient response in an axi-symmetric infinitely long elastic circular cylinder subjected to arbitrary thermal loadings over a finite band of the cylindrical surface by generalized coupled thermoelastic theory, especially for longer transient period. The method consists of formulating and solving the problem in the Laplace transform domain by the finite element method and then numerically inverting the transformed solution to obtain the time-domain response. Therefore, transient solutions at any time could be evaluated directly. Some numerical results, which demonstrate the accuracy, efficiency and versatility of the proposed method, are presented. Moreover, the effects of the thermoelastic coupling term, inertia term, and relaxation times on long-term transient solutions are investigated and discussed.