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Diffusion of fluids through transversely isotropic solids

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In this paper, we investigate the problem of radial diffusion of fluids through a transversely isotropic hollow non-linearly elastic cylinder. The transversely isotropic cylinder is both sheared and stretched. We study in detail how shearing and stretching the cylinder affects the diffusion process. The influence of the anisotropy of the solid on diffusion is also determined. A comparison is made with previous work (cf. Gandhi, Rajagopal and Wineman [11]) on the radial diffusion of fluids through isotropic non-linearly elastic solids.

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Dai, F., Rajagopal, K.R. Diffusion of fluids through transversely isotropic solids. Acta Mechanica 82, 61–98 (1990). https://doi.org/10.1007/BF01173740

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