Axisymmetric coupled thermo-mechanical response of multilayered elastic medium

Most thermal stress analyses are based on the uncoupled theory of thermoelasticity, which considers that the determination of the temperature field is independent from the stress and displacement fields. This paper derives an extended precise integration solution for the coupled thermoelastic problems with the integral transformation techniques. From the axisymmetric fundamental governing equations, an ordinary differential matrix equation is achieved by means of a Laplace–Hankel transform. An extended precise integration method is introduced to solve the above matrix equation in the transformed domain, and the actual solution is acquired by a numerical inverse transformation. Finally, some numerical examples are given to demonstrate the accuracy of the proposed theory and to illustrate the influence of the coupling of thermoelasticity and layered characteristics on the thermo-mechanical response.