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

## 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 |
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ID code: | 28139 |

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 |

Related URLs: | |

Depositing user: | Mrs Carolynne Westwood |

Date Deposited: | 14 Oct 2010 10:02 |

Last modified: | 27 Mar 2014 09:02 |

URI: | http://strathprints.strath.ac.uk/id/eprint/28139 |

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