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Generalized Thermoelastic Diffusion Problem for an Infinite Medium with a Spherical Cavity

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Abstract

In this study, the problem of a thermoelastic infinite medium with a spherical cavity is considered in the context of the theory of generalized thermoelastic diffusion with one relaxation time. The surface of the spherical cavity is taken to be traction free and subjected to heating. Laplace transform techniques are used. The solution is obtained in the Laplace transform domain by using a direct approach. The solution of the problem in the physical domain in obtained numerically using a method based on Fourier expansion techniques. The temperature, displacement, stress, and concentration as well as the chemical potential are obtained. Numerical computations are carried out and represented graphically.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science—Damiatta Branch, Mansoura University, New Damiatta, Egypt

    M. A. Elhagary

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  1. M. A. Elhagary
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Correspondence to M. A. Elhagary.

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Elhagary, M.A. Generalized Thermoelastic Diffusion Problem for an Infinite Medium with a Spherical Cavity. Int J Thermophys 33, 172–183 (2012). https://doi.org/10.1007/s10765-011-1138-0

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  • DOI: https://doi.org/10.1007/s10765-011-1138-0

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