Eigenvalue approach to a magneto-thermoelastic problem in transversely isotropic hollow cylinder: comparison of three theories

The present article deals with the magneto-thermoelastic interactions in a transversely isotropic hollow cylinder. In the presence of the magnetic field, the governing equations are formulated for three-phase-lag model of generalized thermoelasticity. A vector-matrix differential equation is formed by using Laplace transform which is solved by the eigenvalue approach. In order to obtain the stress, displacement and temperature field, the field functions are expressed in terms of the modified Bessel functions in the Laplace transformed domain. When the outer radius of the hollow cylinder tends to infinity, the corresponding results are discussed. Finally, an appropriate Laplace transform inversion technique is adopted and comparison of three generalized thermoelastic theories for the considered parameters is presented graphically.