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Electro–magneto interaction in a two-dimensional generalized thermoelastic solid cylinder

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Abstract

In this work, an investigation of electro–magneto interaction of a two-dimensional problem is presented for an infinitely long solid conducting circular cylinder. The problem is considered in the context of generalized electro–magneto–thermoelasticity with one relaxation time. The lateral surface of the solid is traction free and having a known temperature in the presence of a uniform magnetic field in the direction of the axis. The Laplace transform technique is used to obtain the solution in the transform domain. The solution is obtained by a direct approach without the customary use of potential functions. Numerical inversion of the Laplace transform is carried out to obtain the temperature, displacement, stress and induced magnetic field distributions. Numerical results are represented graphically and discussed.

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Authors and Affiliations

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

    Hany H. Sherief

  2. Department of Basic and Applied Science, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Abu Quir Campus, Alexandria, Egypt

    Allam A. Allam

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  1. Hany H. Sherief
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  2. Allam A. Allam
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Sherief, H.H., Allam, A.A. Electro–magneto interaction in a two-dimensional generalized thermoelastic solid cylinder. Acta Mech 228, 2041–2062 (2017). https://doi.org/10.1007/s00707-017-1814-7

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  • DOI: https://doi.org/10.1007/s00707-017-1814-7

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