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2-D problem of a Mode-I crack for a generalized thermoelasticity under Green-Naghdi theory

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Abstract

A general model of the equations of the generalized thermoelasticity for an infinite space weakened by a finite linear opening Mode-I crack is solved. The crack is subjected to prescribed temperature and stress distribution in the context of Green-Naghdi theory. The normal mode analysis is used to obtain the exact expressions for the displacement components, the force stresses, the temperature and the couple stresses. Comparisons are made with the results predicted in the both type II, III of Green-Naghdi theory. It is found that a Mode-I crack has great effects on the distribution of field quantities with energy dissipation.

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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 & Sarhan Y. Atwa

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

    Sarhan Y. Atwa

  3. Faculty of Science, Department of Mathematics, Shaqra University, Al-Qowyiyaia, Kingdom of 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. 2-D problem of a Mode-I crack for a generalized thermoelasticity under Green-Naghdi theory. Meccanica 48, 1543–1551 (2013). https://doi.org/10.1007/s11012-012-9683-6

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  • DOI: https://doi.org/10.1007/s11012-012-9683-6

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