Three Dimensional Thermal Shock Problem in Magneto-Thermoelastic Orthotropic Medium

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  • S Biswas*1,
  • S. M Abo-Dahab2,
  1. Department of Mathematics, University of North Bengal, Darjeeling, India
  2. Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia---- Department of Mathematics, Faculty of Science, South Valley University, Egypt

Revised: 2020-06-28

Accepted: 2020-08-25

Published in Issue 2020-09-30

How to Cite

Biswas, S., & Abo-Dahab, S. M. (2020). Three Dimensional Thermal Shock Problem in Magneto-Thermoelastic Orthotropic Medium. Journal of Solid Mechanics, 12(4), 663-680. https://oiccpress.com/jsm/article/view/12205

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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.

Keywords

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