Heat Production in a Simply Supported Multilayer Elliptic Annulus Composite Plate and Its Associated Thermal Stresses

This paper is concerned with the theoretical treatment of thermoelastic problem in multilayer elliptical composite plate and the generation of heat in the body as well as at the interfaces with imperfect thermal contact under arbitrary initial temperature distribution. In order to obtain a closedform solution of transient heat conduction problem, an alternative approach using a new SturmLiouville integral transform is presented that considers the series expansion using the eigenfunction expansion method for SturmLiouville boundary value problem. Any particular case of special interest can bederived from assigning suitable values to the parameters and functions of the temperature field and its associated  stresses. As a particular case, the quandary on the heat conduction and its stresses on a twolayered elliptical plate were solved.