OICC Press Journal of Solid Mechanics 2008-7683 12 4 2020 09 30 Three Dimensional Thermal Shock Problem in Magneto-Thermoelastic Orthotropic Medium 663 680 EN S Biswas Department of Mathematics, University of North Bengal, Darjeeling, India S. M Abo-Dahab Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia---- Department of Mathematics, Faculty of Science, South Valley University, Egypt Journal Article 2020 09 30 The paper is concerned with the study of magneto-thermoelastic interactions in three dimensional thermoelastic medium under the purview of three-phase-lag model of generalized thermoelasticity. The medium under consideration is assumed to be homogeneous orthotropic medium. The fundamental equations of the three-dimensional problem of generalized thermoelasticity are obtained as a vector-matrix differential equation form by employing normal mode analysis which is then solved by eigenvalue approach. Stresses and displacements are presented graphically for different thermoelastic models.