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A Thick Plate Problem Under the Action of a Body Force in Generalized Thermoelasticity

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Abstract

The two-dimensional problem for a thick plate is considered within the context of the theory of generalized thermoelasticity with one relaxation time under the action of a body force. The upper surface of the plate is subjected to a known temperature distribution, while its lower one is laid on a thermally insulated rigid foundation. Laplace and exponential Fourier transform techniques are used. The solution in the transformed domain is obtained by a direct approach. The inverse double transform is evaluated numerically. The distributions of the considered physical variables are obtained and represented graphically.

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Authors and Affiliations

  1. Basic and Applied Science Department, College of Engineering & Technology, The Arab Academy for Science and Technology (AAST), P.O. Box 1029, Alexandria, Egypt

    A. A. Abdel-Halim

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  1. A. A. Abdel-Halim
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Correspondence to A. A. Abdel-Halim.

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Abdel-Halim, A.A. A Thick Plate Problem Under the Action of a Body Force in Generalized Thermoelasticity. Int J Thermophys 31, 2323–2336 (2010). https://doi.org/10.1007/s10765-010-0855-0

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  • DOI: https://doi.org/10.1007/s10765-010-0855-0

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