Effect of the thermal relaxation and magnetic field on generalized micropolar thermoelasticity
- Authors: Othman M.I.1, Song Y.Q.2
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Affiliations:
- Faculty of Science, Department of Mathematics
- MOE Key Laboratory for Strength and Vibration
- Issue: Vol 57, No 1 (2016)
- Pages: 108-116
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/158993
- DOI: https://doi.org/10.1134/S0021894416010120
- ID: 158993
Cite item
Abstract
The model of generalized micropolar magneto-thermoelasticity for a thermally and perfectly conducting half-space is studied. The initial magnetic field is parallel to the boundary of the half-space. The formulation is applied to the generalized thermo-elasticity theories of Lord and Shulman, Green and Lindsay, as well as to the coupled dynamic theory. The normal mode analysis is used to obtain expressions for the temperature increment, the displacement, and the stress components of the model at the interface. By using potential functions, the governing equations are reduced to two fourth-order differential equations. By numerical calculation, the variation of the considered variables is given and illustrated graphically for a magnesium crystal micropolar elastic material. Comparisons are performed with the results predicted by the three theories in the presence of a magnetic field.
About the authors
M. I. A. Othman
Faculty of Science, Department of Mathematics
Author for correspondence.
Email: m_i_a_othman@yahoo.com
Egypt, Zagazig
Y. Q. Song
MOE Key Laboratory for Strength and Vibration
Email: m_i_a_othman@yahoo.com
China, Xi’an, 710049
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