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Generalized Magneto-thermoelasticity in a Fiber-Reinforced Anisotropic Half-Space with Energy Dissipation

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Abstract

The propagation of plane waves in a fiber-reinforced, anisotropic thermoelastic half-space proposed by Green and Naghdi theory under the effect of magnetic field is discussed. The problem has been solved analytically using normal mode analysis to obtain the exact solution of the temperature, the displacement components, and the thermal stress. Numerical results for the temperature distribution, the displacement components, and the thermal stress are given and illustrated graphically. Comparisons are made with the results predicted by types II and III in the presence and in the absence of the effect of a magnetic field and fiber reinforcement. It is found that the reinforcement and magnetic field have great effects on the distribution of the field quantities.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

    Mohamed I. A. Othman

  2. Department of Engineering, Mathematics and Physics, Higher Institute of Engineering, Shorouk Academy, Shorouk City, Egypt

    Sarhan Y. Atwa

  3. Department of Mathematics, Faculty of Science, Shaqra University, P.O. Box 1040, Al-Quwaiya, 11911, Saudi Arabia

    Sarhan Y. Atwa

Authors
  1. Mohamed I. A. Othman
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  2. Sarhan Y. Atwa
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Correspondence to Mohamed I. A. Othman.

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Othman, M.I.A., Atwa, S.Y. Generalized Magneto-thermoelasticity in a Fiber-Reinforced Anisotropic Half-Space with Energy Dissipation. Int J Thermophys 33, 1126–1142 (2012). https://doi.org/10.1007/s10765-012-1234-9

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  • DOI: https://doi.org/10.1007/s10765-012-1234-9

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