Abstract
In the present work, we study the transient phenomena in magneto-thermoelastic model in the context of the theory of generalized thermoelasticity GL model with variable thermal conductivity. The numerical solutions for the displacement, temperature, and radial and hoop streasses in the context of FEM are obtained. The boundary conditions for the mechanical and Maxwell's stresses at the internal and outer surfaces are considered. An application of an infinitely long annular cylinder is investigated for the inner surface is traction free and subjected to thermal shock, while the outer surface is traction free and thermally isolated. Finally, the displacement, incremental temperature, the stress components are obtained and then presented graphically to show the influence of the variables on the phenomena.