Asymptotic behaviour of thin poroelastic layers |
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Authors: | Barry, S. I. Holmes, M. |
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Affiliation: | 1 School of Mathematics and Statistics, University College, University of New South Wales, Canberra, ACT 2600, Australia 2 Mathematics Department, Rensselaer Polytechnic Institute, Troy, New York 12180-3590, USA |
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Abstract: | We consider the deformation behaviour of thin poroelastic layerswhere the governing equations include a non-constant permeability.We consider both the small and long time scale limits and byusing appropriate perturbation series reduce the poroelastic equations to one-dimensional diffusion equations. We particularly consider the cases of an indented porous layer, a layer relaxing after an initial disturbance and a layer with embedded sources.Both axisymmetric and two-dimensional geometries are considered. |
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Keywords: | asymptotic diffusion poroelastic porous media. |
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