Thermomechanical interactions in transversely isotropic magnetothermoelastic medium with vacuum and with and without energy dissipation with combined effects of rotation, vacuum and two temperatures

The present paper is concerned with the investigation of disturbances in a homogeneous transversely isotropic thermoelastic rotating medium with two temperature and magnetic effect due to thermomechanical sources. The formulation is applied to the thermoelasticity theories developed by Green-Naghdi [7] with and without energy dissipation subjected to the thermomechanical sources. Laplace and Fourier transform technique is applied to solve the problem. The bounding surface is subjected to concentrated and distributed sources (mechanical and thermal sources). The expressions of displacement, stress components, temperature change and induced magnetic field are obtained in the transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerical simulated results are depicted graphically to show the effect of two temperature and rotation on resulting quantities. Some special cases are also deduced from the present investigation.