Effect of Rotation and Initial Stress on an Infinite Generalized Magneto-Thermoelastic Diffusion Body with a Spherical Cavity

This study examines one-dimensional problem in a generalized magneto-thermoelastic diffusion in an infinite rotating medium with a spherical cavity subjected to a time dependent thermal shock at its internal boundary, which is assumed to be traction free. The chemical potential is also assumed to be a known function of time at the boundary of the cavity. The analytical expressions for the displacements, stresses, temperature, concentration and chemical potential are obtained in the physical domain using the harmonic vibrations. Effect of rotation, initial stress, magnetic field and diffusion are analyzed theoretically and computed numerically. Comparisons were made with the results; obtained in the presence and absence of rotation, magnetic field and diffusion. Numerical results determine the finite speeds of propagation for thermoelastic and diffusive waves. The results indicate that the effect of rotation, magnetic field, relaxation time and diffusion relaxation time are very pronounced.