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

This article examines the coupled thermoelasticity of an infinitely long, triple-layer annular cylinder subjected to a constant or time-dependent change in boundary temperatures. The governing equations, taking into account the thermomechanical coupling term, are expressed in terms of temperature increment and displacement. Using the Laplace transform with respect to time, the general solutions of the governing equations are obtained in the transform domain. The transient distributions of temperature increments and stresses in the real domain are presented numerically. Using a Fourier series technique, the inversion to the real domain is obtained, and no thermoelastic potentials are presented in the solution process. The results indicate that the coupling parameter can lead to a lagging effect in both the temperature and the stress distributions. The present method is also suitable for cases with different boundary conditions, such as time-dependent changes in surrounding temperature.