A numerical solution of magneto-thermoelastic problem in non-homogeneous isotropic cylinder by the finite-difference method

This paper presents the development of the magneto-thermoelastic problem in non-homogeneous isotropic cylinder in a primary magnetic field when the curved surface of the cylinder subject to certain boundary conditions. The governing coupled linear partial differential equations in the hyperbolic-type have been solved numerically using the finite-difference method. Graphical results for the temperature, displacement and components of stresses are illustrated and discussed for copper-like material. The results indicate that the effects of inhomogeneity and magnetic field are very pronounced. Some more interesting particular cases have also been discussed.