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A note on anisotropic, inhomogeneous, poro-elastic media

McGhee, D.F. and Picard, R. (2010) A note on anisotropic, inhomogeneous, poro-elastic media. Mathematical Methods in the Applied Sciences, 33 (3). pp. 313-322. ISSN 0170-4214

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Abstract

A modification of the material law associated with the well-known Biot system as suggested by Murad and Cushman (Int. J. Eng. Sci. 1996; 34(3):313-338) and first investigated by Showalter (J. Math. Anal. Appl. 2000; 251(1):310-340) is reconsidered, generalized and analysed in the light of a new approach to a comprehensive class of evolutionary problems. The framework allows a uniform approach to problems involving general anisotropic, inhomogeneous, non-smooth media thus covering, for example, transmission problems in layered materials.