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Thermoelastic plane waves for an elastic solid half-space under hydrostatic initial stress of type III

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Abstract

In this paper, we constructed the equations of generalized thermoelastic isotropic and homogeneous half-space under hydrostatic initial stress in the context of the Green and Naghdi (GN) theory of types II and III. Normal mode analysis is used to obtain the exact expressions of temperature, displacement and stress. Comparisons are made with the results predicted by GN theory of types II and III in the presence and absence of the hydrostatic initial stress. The temperature, displacement and stress distributions are represented graphically.

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Authors and Affiliations

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

    Mohamed I. A. Othman & Sarhan Y. Atwa

  2. Higher Institute of Engineering, Dep. of Eng. Math. and Physics, Shorouk Academy, El Shorouk, Egypt

    Sarhan Y. Atwa

  3. Faculty of Science, Department of Maths., Shaqra University, P.O. Box 102, Al-Qowyiyaia, Saudi Arabia

    Sarhan Y. Atwa

  4. Department of Mathematics, Faculty of Science, Shaqra University, Al-Dawadme, 11911, P.O. Box 1040, Kingdom of Saudi Arabia

    Mohamed I. A. Othman

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. Thermoelastic plane waves for an elastic solid half-space under hydrostatic initial stress of type III. Meccanica 47, 1337–1347 (2012). https://doi.org/10.1007/s11012-011-9517-y

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  • DOI: https://doi.org/10.1007/s11012-011-9517-y

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