A note on anisotropic, inhomogeneous, poro-elastic media

D.F. McGhee, R. Picard

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2 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)313-322
Number of pages10
JournalMathematical Methods in the Applied Sciences
Volume33
Issue number3
Early online date16 Jun 2009
DOIs
Publication statusPublished - Feb 2010

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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