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 u–u–p formulation (Sect. 6.3.4) and (b) the u–p formulation (Sect. 6.4.2). In the present chapter, the weak forms and finite element equations are developed for the u–p formulation. The finite element equations for the full and u–u–p formulations may be obtained by following a procedure similar to that in this chapter (see Problem 7.1 for the u–u–p formulation).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lewis, R.W. and Schrefler, B.A. (1998). The Finite Element Method in the Deformation and Consolidation of Porous Media. Wiley, New York.
Malkus, D.S. and Hughes, T.J.R. (1978). Mixed finite element method – reduced and selective integration techniques: a unification concepts. Computer Methods in Applied Mechanics and Engineering, 15: 63–81.
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.
Selvadurai, A.P.S. (1996a). Mechanics of Porous Media. Kluwer, Dordrecht, The Netherlands.
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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Anandarajah, A. (2010). Finite Element Analysis of Porous Media. In: Computational Methods in Elasticity and Plasticity. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6379-6_7
Download citation
DOI: https://doi.org/10.1007/978-1-4419-6379-6_7
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-6378-9
Online ISBN: 978-1-4419-6379-6
eBook Packages: EngineeringEngineering (R0)