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Effect of rotation on plane waves at the free surface of a fibre-reinforced thermoelastic half-space using the finite element method

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Abstract

The propagation of plane waves in fibre-reinforced, rotating thermoelastic half-space proposed by Lord-Shulman is discussed. The problem has been solved numerically using a finite element method. 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 the coupled theory and the theory of generalized thermoelasticity with one relaxation time in the presence and absence of rotation and reinforcement. It is found that the rotation has a significant effect and the reinforcement has great effect on the distribution of field quantities when the rotation is considered.

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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 mathematics, Faculty of Science, Shaqra University, P.O. Box 1040, AL-Dawadmi, 11911, Kingdom of Saudi Arabia

    Mohamed I. A. Othman

  3. Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt

    Ibrahim A. Abbas

Authors
  1. Mohamed I. A. Othman
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  2. Ibrahim A. Abbas
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Correspondence to Mohamed I. A. Othman.

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Othman, M.I.A., Abbas, I.A. Effect of rotation on plane waves at the free surface of a fibre-reinforced thermoelastic half-space using the finite element method. Meccanica 46, 413–421 (2011). https://doi.org/10.1007/s11012-010-9322-z

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  • DOI: https://doi.org/10.1007/s11012-010-9322-z

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