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Modeling of variable thermal conductivity in a generalized thermoelastic infinitely long hollow cylinder

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Abstract

In this work, we consider the 1D problem for an infinitely long hollow cylinder in the context of the theory of generalized thermoelasticity with one relaxation time. The material is assumed to have variable thermal conductivity depending on the temperature. Laplace transform technique is used to solve the problem. The solution in the transformed domain is obtained by a direct approach. The inverse transforms are obtained using a numerical technique based on Fourier expansion. Numerical results are represented graphically and in table format.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria, Egypt

    Hany H. Sherief & Farid A. Hamza

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  1. Hany H. Sherief
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  2. Farid A. Hamza
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Correspondence to Hany H. Sherief.

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Sherief, H.H., Hamza, F.A. Modeling of variable thermal conductivity in a generalized thermoelastic infinitely long hollow cylinder. Meccanica 51, 551–558 (2016). https://doi.org/10.1007/s11012-015-0219-8

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  • DOI: https://doi.org/10.1007/s11012-015-0219-8

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