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Deformation of a rotating two-temperature generalized-magneto thermoelastic medium with internal heat source due to hydrostatic initial stress

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Abstract

The three-phase-lag model and Green–Naghdi theory without energy dissipation are employed to study the deformation of a two-temperature generalized-magneto thermoelastic medium with an internal heat source that is moving with a constant speed under the hydrostatic initial stress and the rotation. Normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress, thermal temperature and conductive temperature. The numerical results are given and presented graphically when mechanical force is applied. Comparisons are made with the results of the two models for two different values of the hydrostatic initial stress. Also, comparisons are made with results of the two models with and without the rotation as well as the two-temperature.

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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

  2. Department of Mathematics, Faculty of Science and Arts, Qassim University, P.O. Box 6666, Buraidah, 51452, Al-mithnab, Kingdom of Saudi Arabia

    Samia M. Said

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  1. Samia M. Said
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Correspondence to Samia M. Said.

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Said, S.M. Deformation of a rotating two-temperature generalized-magneto thermoelastic medium with internal heat source due to hydrostatic initial stress. Meccanica 50, 2077–2091 (2015). https://doi.org/10.1007/s11012-015-0136-x

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  • DOI: https://doi.org/10.1007/s11012-015-0136-x

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