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A theory of thermoelastic diffusion materials with voids

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Abstract

In the first part of this paper, we derive the equations of the linear theory of thermoelastic diffusion in porous media based on the concept of volume fraction. Then, we establish a reciprocal relation which leads to reciprocity, uniqueness and continuous dependence theorems for anisotropic materials. Finally, we prove the existence of a generalized solution by means of the semigroup of linear operators theory.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Rustaq College of Applied Sciences, P.O. Box 10, Rustaq, 329, Sultanate of Oman

    Moncef Aouadi

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  1. Moncef Aouadi
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Correspondence to Moncef Aouadi.

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Aouadi, M. A theory of thermoelastic diffusion materials with voids. Z. Angew. Math. Phys. 61, 357–379 (2010). https://doi.org/10.1007/s00033-009-0016-0

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  • DOI: https://doi.org/10.1007/s00033-009-0016-0

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