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 0170-4214Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|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:||27 Apr 2016 15:59|