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Effect of gravity, magnetic field and internal heat source on a fiber-reinforced medium with two temperatures

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Abstract

In the present paper, the Lord–Shulman theory with one relaxation time, Green–Lindsay theory with two relaxation times and the classical dynamical coupled theory as well as Green–Naghdi theory without energy dissipation are applied to study the total deformation of a magneto-thermoelastic fiber-reinforced medium under the gravitational. The normal mode analysis is used to obtain the exact expressions for the thermodynamic temperature, the conductive temperature, the force stresses and the displacements. Comparisons are made with the results in the four theories in the presence and absence of magnetic field, the gravity, as well as the internal heat source. The effect of the gravity, magnetic field and the internal heat source is observed on all the quantities.

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Authors and Affiliations

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

    Samia M. Said & Mohamed I. A. Othman

  2. Department of Mathematics, Faculty of Science and Arts, Al-Mithnab, Qassim University, P.O. Box 931, Buridah, Al-Mithnab, 51931, Kingdom of Saudi Arabia

    Samia M. Said

Authors
  1. Samia M. Said
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  2. Mohamed I. A. Othman
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Correspondence to Mohamed I. A. Othman.

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Said, S.M., Othman, M.I.A. Effect of gravity, magnetic field and internal heat source on a fiber-reinforced medium with two temperatures. Indian J Phys 93, 1453–1464 (2019). https://doi.org/10.1007/s12648-019-01402-0

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  • DOI: https://doi.org/10.1007/s12648-019-01402-0

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