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Finite Element Analysis of Porous Media

Chapter

Abstarct

The equations governing the mechanics of porous media have been presented in Chap. 6. The general formulations (i.e., the full formulation presented in Sect. 6.2.4) were specialized to obtain two specific formulations: (a) The uup formulation (Sect. 6.3.4) and (b) the up formulation (Sect. 6.4.2). In the present chapter, the weak forms and finite element equations are developed for the up formulation. The finite element equations for the full and uup formulations may be obtained by following a procedure similar to that in this chapter (see Problem 7.1 for the uup formulation).

Keywords

Porous Medium Weak Form Pore Water Pressure Saturated Porous Medium Nodal Unknown 
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References

  1. Lewis, R.W. and Schrefler, B.A. (1998). The Finite Element Method in the Deformation and Consolidation of Porous Media. Wiley, New York.MATHGoogle Scholar
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  3. Schrefler, B.A. and Simoni, L. (1995). Numerical solutions of thermo-hydro-mechanical problems. In Modern Issues in Non-Saturated Soils. (Eds. A. Gens, P. Jouanna and B.A. Schrefler), Springer, Berlin, pp. 213–276.Google Scholar
  4. Selvadurai, A.P.S. (1996a). Mechanics of Porous Media. Kluwer, Dordrecht, The Netherlands.CrossRefGoogle Scholar
  5. Zienkiewicz, O.C. and Shiomi, T. (1984). Dynamic behavior of saturated porous media: the generalized Biot formulation and its solution. International Journal for Numerical and Analytical Methods in Geomechanics, 8: 71–96.MATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Civil EngineeringJohns Hopkins UniversityBaltimoreUSA

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