Research Article

Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids

Volume: 25 Number: 1 March 1, 2022
EN

Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids

Abstract

This paper studies the generalized magneto-thermoelastic problem with microtemperatures, voids taking into account initial stress and modified Ohm’s law under three theories. The analytical solution is obtained by normal modes and expressions for micro temperature, temperature distribution, displacement, components of heat flux, change in the volume fraction field as well as stress components are calculated. The effect of initial stress and thermal shock is observed on desired field variables. The results are established graphically for all physical quantities and variation is done for three theories due to the effect of modified Ohm’s law coefficient.

Keywords

References

  1. M. A. Biot, “Non-linear theory of elasticity and the linearized case for a body under initial stress,” The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 27(183), 468–489, 1939.
  2. H. Lord and Y. Shulman, “A generalized dynamical theory of thermoelasticity,” Journal of the Mechanics and Physics of Solids, 15(5), 299–309, 1967.
  3. E. Green and K. A. Lindsay, “Thermoelasticity,” Journal of Elasticity, 1972.
  4. V. K. Agarwal, “On electromagneto-thermoelastic plane waves,” Acta Mechanica, 34(3), 181–191, 1979.
  5. G. Paria, “Magneto-elasticity and magneto- thermoelasticity,” In Advances in Applied Mechanics. Elsevier, 73–112, 1966.
  6. H. Youssef, “Generalized magneto-thermoelasticity in a conducting medium with variable material properties,” Applied Mathematics and Computation, 173(2), 822–833, 2006.
  7. R. A. Grot, “Thermodynamics of a continuum with microstructure,” International Journal of Engineering Science, 7(8), 801–814, 1969.
  8. P. Riha, “On the microcontinuum model of heat conduction in materials with inner structure,” International Journal of Engineering Science, 14(6), 529–535, 1976.

Details

Primary Language

English

Subjects

Thermodynamics and Statistical Physics

Journal Section

Research Article

Authors

G. D. Kedar This is me
India

Publication Date

March 1, 2022

Submission Date

May 7, 2021

Acceptance Date

October 3, 2021

Published in Issue

Year 2022 Volume: 25 Number: 1

APA
Bawankar, L., & Kedar, G. D. (2022). Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids. International Journal of Thermodynamics, 25(1), 54-63. https://doi.org/10.5541/ijot.934363
AMA
1.Bawankar L, Kedar GD. Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids. International Journal of Thermodynamics. 2022;25(1):54-63. doi:10.5541/ijot.934363
Chicago
Bawankar, Latika, and G. D. Kedar. 2022. “Initial Stress and Modified Ohm’s Law in Magneto-Thermoelastic Problem Under Three Theories With Microtemperatures and Voids”. International Journal of Thermodynamics 25 (1): 54-63. https://doi.org/10.5541/ijot.934363.
EndNote
Bawankar L, Kedar GD (March 1, 2022) Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids. International Journal of Thermodynamics 25 1 54–63.
IEEE
[1]L. Bawankar and G. D. Kedar, “Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids”, International Journal of Thermodynamics, vol. 25, no. 1, pp. 54–63, Mar. 2022, doi: 10.5541/ijot.934363.
ISNAD
Bawankar, Latika - Kedar, G. D. “Initial Stress and Modified Ohm’s Law in Magneto-Thermoelastic Problem Under Three Theories With Microtemperatures and Voids”. International Journal of Thermodynamics 25/1 (March 1, 2022): 54-63. https://doi.org/10.5541/ijot.934363.
JAMA
1.Bawankar L, Kedar GD. Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids. International Journal of Thermodynamics. 2022;25:54–63.
MLA
Bawankar, Latika, and G. D. Kedar. “Initial Stress and Modified Ohm’s Law in Magneto-Thermoelastic Problem Under Three Theories With Microtemperatures and Voids”. International Journal of Thermodynamics, vol. 25, no. 1, Mar. 2022, pp. 54-63, doi:10.5541/ijot.934363.
Vancouver
1.Latika Bawankar, G. D. Kedar. Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids. International Journal of Thermodynamics. 2022 Mar. 1;25(1):54-63. doi:10.5541/ijot.934363

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