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Response of Micropolar Thermoelastic Solid with Voids Due to Various Sources Under Green Naghdi Theory

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Abstract

Green-Naghdi (G-N) theory of thermoelasticity is employed to study the deformation of micropolar thermoelastic solid with voids considering the influence of various sources acting on the plane surface. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress, coupled stress, variation of volume fraction field and temperature distribution. The computed results are presented graphically when the volume source is applied. Comparisons of type II and type III with and without micropolarity effect are made with the results predicted in the context of (G-N) theory.

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Authors and Affiliations

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

    Mohamed Ibrahim Ahmed Othman & Sarhan Youssef Atwa

  2. Higher Institute of Engineer, Dept. of Eng. Math. and Physics, Shorouk Academy, Cairo, Egypt

    Sarhan Youssef Atwa

  3. Faculty of Science, Department of mathematics, Shaqra University, AL-Quwaiyah, Saudi Arabia

    Sarhan Youssef Atwa

Authors
  1. Mohamed Ibrahim Ahmed Othman
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  2. Sarhan Youssef Atwa
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Correspondence to Mohamed Ibrahim Ahmed Othman.

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Othman, M.I.A., Atwa, S.Y. Response of Micropolar Thermoelastic Solid with Voids Due to Various Sources Under Green Naghdi Theory. Acta Mech. Solida Sin. 25, 197–209 (2012). https://doi.org/10.1016/S0894-9166(12)60020-2

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  • DOI: https://doi.org/10.1016/S0894-9166(12)60020-2

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