2-D Problem of Magneto-Thermoelastic Medium Under the Effect of Different Fields with Two-Temperature and 3PHL Model
American Journal of Nano Research and Applications
Volume 4, Issue 4, July 2016, Pages: 33-42
Received: Dec. 8, 2016; Accepted: Dec. 20, 2016; Published: Jan. 14, 2017
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Authors
Mohamed I. A. Othman, Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
Nehal T. Mansour, Department of Mathematics, Faculty of Science, Taif University, Ta'if, Saudi Arabia
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Abstract
Three-phase-lag theory of thermoelasticity is employed to study the deformation of thermo-elastic solid half-space under hydrostatic initial stress, rotation, magnetic field and gravity with two-temperature. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress, thermodynamic temperature and conductive temperature. The numerical results are given and presented graphically when mechanical and thermal force is applied. Comparisons are made with the results predicted by the three-phase-lag model, Green-Naghdi III and Lord-Shulman theories.
Keywords
Initial Stress, Three-Phase-Lag, Gravity, Rotation, Magnetic Field, Two-Temperature
To cite this article
Mohamed I. A. Othman, Nehal T. Mansour, 2-D Problem of Magneto-Thermoelastic Medium Under the Effect of Different Fields with Two-Temperature and 3PHL Model, American Journal of Nano Research and Applications. Vol. 4, No. 4, 2016, pp. 33-42. doi: 10.11648/j.nano.20160404.11
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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