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A thermoelastic diffusion interaction in an infinitely long annular cylinder

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Abstract

The present paper is aimed at studying a two-dimensional problem for an infinitely long solid conducting circular cylinder with a permeating substance in contact with its bounding surface. The problem is considered in the context of generalized thermoelastic diffusion theory with one relaxation time. The lateral surface of the solid is traction free and subjected to known temperature and chemical potential as functions of time. The solution is obtained by a transform method and a direct approach without the customary use of potential functions. Numerical inversion of the transformed solution is carried out to obtain the temperature, displacement, stress, and concentration of the diffusive material distributions. Numerical results are represented graphically and discussed. The second sound effect and the asymptotic behavior for the solution are discussed.

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Authors and Affiliations

  1. 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, M. A. Omar & Khaled T. Ramadan

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  1. Allam A. Allam
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  2. M. A. Omar
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  3. Khaled T. Ramadan
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Allam, A.A., Omar, M.A. & Ramadan, K.T. A thermoelastic diffusion interaction in an infinitely long annular cylinder. Arch Appl Mech 84, 953–965 (2014). https://doi.org/10.1007/s00419-014-0841-2

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  • DOI: https://doi.org/10.1007/s00419-014-0841-2

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