Coupled thermoelasticity of an infinitely long, triple-layer annular cylinder

This article examines the coupled thermoelasticity of an infinitely long, t riple-layer annular cylinder subjected to a constant or time-dependent chan ge in boundary temperatures. The governing equations, taking into account t he thermomechanical coupling term, are expressed in terms of temperature in crement and displacement. Using the Laplace transform with respect to time, the general solutions of the governing equations are obtained in the trans form domain. The transient distributions of temperature increments and stre sses in the real domain are presented numerically. Using a Fourier series t echnique, the inversion to the real domain is obtained, and no thermoelasti c potentials are presented in the solution process. The results indicate th at the coupling parameter can lead to a lagging effect in both the temperat ure and the stress distributions. The present method is also suitable for c ases with different boundary conditions, such as time-dependent changes in surrounding temperature.