Transient coupled thermoelastic analysis of an annular fin

This work is to investigate the transient coupled thermoelasticity of an annular fin with its base suddenly subjected to a heat flux of a decayed exponential function of time. While neglecting the effect of the inertia term in the governing equation of motion, the thermomechanical coupling effect is taken into account in the governing equation of heat conduction. By taking the Laplace transform with respect to time, the governing equations are decoupled and general solutions for temperature increments and displacements are obtained in the transform domain. A Fourier series technique is taken to achieve the inversion to the real domain. The transient distributions of temperature increments and thermal stresses in the real domain are presented numerically. It is found that the coupling parameter can lead to an obvious lagging effect in both the temperature and the stress distributions of the fin. Moreover, the present method also can be applied to cases with different types of boundary conditions, such as time-dependent changes in boundary temperatures.