A note on anisotropic,inhomogeneous, poro‐elastic media |
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| Authors: | Des F. McGhee Rainer Picard |
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| Affiliation: | 1. Department of Mathematics, Strathclyde University, Glasgow, Scotland, U.K.;2. Institut für Analysis, Fachrichtung Mathematik, Technische Universit?t Dresden, Germany |
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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. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | Biot system poro‐elasticity material laws initial value problems for linear first‐order PDE linear evolution equations flows in porous media foundations constitutive equations rheology |
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