3D Analysis of Wave Propagation in Generalized Magneto Thermoelastic Medium

Authors

  • S. Boruah Mizoram University, India
  • S. S. Singh Mizoram University, India

DOI:

https://doi.org/10.22232/stj.2024.12.02.06

Keywords:

Generalized magneto thermoelastic material, Eigenvalue, Heaviside function, Phase velocity, Wavenumber

Abstract

The paper investigates the three dimensional problem of wave propagation in generalized magneto thermoelastic medium. The eigenvalue approach is adopted to solve the vector matrix differential equation which represents the equation of motion for the generalized thermoelastic materials. Components of displacements and temperature field are analyzed theoretically and computed numerically with the help of appropriate boundary conditions. The effect of magnetic and relaxation time on the propagation of waves are critically examined.

Author Biographies

S. Boruah, Mizoram University, India

Department of Mathematics & Computer Science

S. S. Singh, Mizoram University, India

Department of Mathematics & Computer Science

References

Abbas IA (2012) Generalized magneto-thermoelastic interaction in a fiber-reinforced anisotropic hollow cylinder. Int. J. Thermophys. 33: 567-579.

Abbas IA (2013) A GN model for thermoelastic interaction in an unbounded fiber-reinforced anisotropic medium with a circular hole. Appl. Math. Lett. 26(2): 232-239.

Abbas IA, Kumar R, Chawla V (2012) Response of thermal source in a transversely isotropic thermoelastic half-space with mass diffusion by using a finite element method. Chin. Phys. B. 21(8): 084601.

Abbas IA, Othman MI (2012) Plane waves in generalized thermo- microstretch elastic solid with thermal relaxation using finite element method. Int. J. Thermophys. 33: 2407-2423.

Biot MA (1956) Thermoelasticity and irreversible thermodynamics.J. Appl. Phys. 27(3): 240-253.

Dhaliwal RS, Sherief HH (1980) Generalized thermoelasticity for anisotropic media. Q. Appl. Math. 38(1): 1-8.

Ezzat MA, Youssef HM (2005) Generalized magneto-thermoelasticity in a perfectly conducting medium. Int. J. Solids Struct. 42(24- 25): 6319-6334.

Lord HW, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J. Mech. Physics. 15(5): 299-309.

Paria G (1966) Magneto-elasticity and magneto-thermoelasticity. Adv. Appl. Mech. 10: 73-112. Puri P (1973) Plane waves in generalized thermoelasticity. Int. J. Engng. 11(7): 735-744.

Wang X, Dai HL (2004) Magnetothermodynamic stress and perturbation of magnetic field vector in an orthotropic thermoelastic cylinder. Int. J. Eng. Sci. 42(5-6): 539-556.

Zorammuana C, Singh S (2016) Elastic waves in thermoelastic saturated porous medium. Meccanica 51(3): 593-609.

Cover page of Science & Technology Journal (STJ), Volume 12, Number 2, June 2024, published by Mizoram University

Downloads

Published

2025-10-07

How to Cite

S. Boruah, & S. S. Singh. (2025). 3D Analysis of Wave Propagation in Generalized Magneto Thermoelastic Medium . Science & Technology Journal, 12(2). https://doi.org/10.22232/stj.2024.12.02.06

Issue

Vol. 12 No. 2 (2024): Volume 12, Issue 2, June 2024

Section

Research Articles

Categories

License

Copyright (c) 2025 S. Boruah, S. S. Singh

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

© The Author(s) 2025. Published by the Science & Technology Journal (STJ), Mizoram University.

Articles published in this journal are open access and distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0).

This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author(s) and source are properly credited.

Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the CC BY 4.0 license.

License link: Creative Commons Attribution 4.0 International License (CC BY 4.0)