Transversely isotropic magneto thermoelastic solid with two temperature and without energy dissipation in generalized thermoelasticity due to inclined load

Abstract

The mathematical model has been formulated using Lord-Shulman theory for transversely isotropic magneto thermoelastic solid with two temperature and without energy dissipation due to inclined load. The entire thermo-elastic medium is rotating with a uniform angular velocity. The Laplace and Fourier transform techniques have been used to find the solution to the problem. The displacement components, stress components and conductive temperature distribution with the horizontal distance are computed in the transformed domain and further calculated in the physical domain using numerical inversion techniques. The effect of two temperature and angle of inclination of inclined load is depicted graphically on the resulting quantities.