Thermomechanical interactions due to time harmonic sources in a transversely isotropic magneto thermoelastic solids with rotation

Abstract

The present research deals in two dimensional transversely isotropic magneto thermoelastic solid with rotation due to time-harmonic source in generalised Lord-Shulman (LS) theory of thermoelasticity. The Fourier transform has been used to find a solution to the problem. The displacements components, stress components, and conductive temperature distribution with the horizontal distance in the physical domain are calculated numerically. The effect of rotation and various frequencies with two temperature (WTT) are depicted graphically on the resulting quantities. The proposed model is helpful for finding the type of relations between mechanical and thermal fields as most of the structural elements of heavy industries are frequently related to mechanical and thermal stresses at a higher temperature.