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Generalized Thermoelastic Medium with Temperature-Dependent Properties for Different Theories under the Effect of Gravity Field

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Abstract

The problem of the generalized thermoelastic medium for three different theories under the effect of a gravity field is investigated. The Lord–Shulman (L–S), Green–Lindsay (G–L), and classical-coupled (CD) theories are discussed. The modulus of the elasticity is given as a linear function of the reference temperature. The exact expressions for the displacement components, temperature, and stress components are obtained by using normal mode analysis. Numerical results for the field quantities are given in the physical domain and illustrated graphically in the absence and presence of gravity. A comparison also is made between the three theories for the results with and without a temperature dependence.

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Authors and Affiliations

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

    Mohamed I. A. Othman & Samia M. Said

  2. Department of Mathematics, Faculty of Science, Suez Canal University, Suez, Egypt

    Yassmin D. Elmaklizi

Authors
  1. Mohamed I. A. Othman
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  2. Yassmin D. Elmaklizi
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  3. Samia M. Said
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Correspondence to Mohamed I. A. Othman.

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Othman, M.I.A., Elmaklizi, Y.D. & Said, S.M. Generalized Thermoelastic Medium with Temperature-Dependent Properties for Different Theories under the Effect of Gravity Field. Int J Thermophys 34, 521–537 (2013). https://doi.org/10.1007/s10765-013-1425-z

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  • DOI: https://doi.org/10.1007/s10765-013-1425-z

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