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 (https://doi.org/10.1002/mma.1171)

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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.

  • Item type:Article
    ID code:28139
    Dates:
    Date
    Event
    February 2010
    Published
    16 June 2009
    Published Online
    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, Mathematics, Engineering(all), Mathematics(all)
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Mrs Carolynne Westwood
    Date deposited:14 Oct 2010 09:02
    Last modified:01 Nov 2023 09:40
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/28139
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