Thermomechanical deformation in a transversely isotropic magneto-thermoelastic rotating solids under initial stress

Abstract

The present research deals with the mathematical model for study of the disturbance due to mechanical (horizontal or vertical) and thermal source in two dimensional transversely isotropic magneto thermoelastic solid under initial stress due to time-harmonic source with generalized Lord–Shulman (LS) theory of thermoelasticity with two temperatures. The Fourier transform has been used to find the solution of the problem. The displacement components, stress components and temperature distribution are calculated numerically in the transformed domain. The effect of time harmonic source, relaxation time and initial stress is depicted graphically on the resulting quantities for the insulated boundary and the temperature gradient boundary.

Keywords

• Transversely isotropic Magneto thermoelastic
• Mechanical and Thermal stresses
• Initial stress
• Time harmonic source