Three Dimensional Thermal Shock Problem in Magneto-Thermoelastic Orthotropic Medium

Subject Areas : Engineering

S Biswas ¹ ( Department of Mathematics, University of North Bengal, Darjeeling, India )
S. M Abo-Dahab ² ( Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia---- Department of Mathematics, Faculty of Science, South Valley University, Egypt )

Received: 2020-06-28 Accepted : 2020-08-25 Published : 2020-09-30

Keywords: Three-phase-lag model, Magnetic effect, Eigenvalue approach, Orthotropic medium,

Abstract :

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.

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