Thermoelastic Modelling of Rectangular Plate under the Hyperbolic Heat Conduction with an Internal Heat Source

The present work is concerned with the study of thermal stress analysis of a two-dimensional rectangular plate under the hyperbolic heat conduction model with a heat source inside the body under the constant surface temperature. The internal heat source varying periodically with time is considered. The thermoelastic displacement, stresses and temperature are determined within the context of non-Fourier heat conduction theory. The solution for temperature field and stress field are obtained with the help of differential transform method and later used to find displacement. The effect of periodically varying heat source on thermal stresses is studied. The special case is considered and results are illustrated numerically and graphically for a copper plate.