Weitere Kapitel dieses Buchs durch Wischen aufrufen
The equations governing deformation of single-phase materials and the associated finite element formulations have been presented in Chaps. 3 and 5, respectively. While all materials are porous at some scale, they may be modeled as single-phase materials when the pores in the materials are macroscopically homogeneous and empty. In some cases, the stresses in the skeleton may be so much greater than those in the fluid that the effect of the fluid on the behavior of the skeleton may be neglected (e.g., dry concrete used in members supporting a bridge where the pores are filled with air). In a two-phase material (e.g., saturated soil), if the conditions (e.g., high permeability and/or slow loading) allow full drainage, the loading does not cause pressure build up and hence the fluid phase does not influence the behavior of the skeleton (i.e., the behavior of the skeleton under fully saturated and dry conditions are the same). At the other extreme, in a fully saturated material, if the conditions are such that relative movement of the fluid with respect to the skeleton is negligible (as in undrained behavior), the material may be modeled as a single-phase material. The theories presented in Chaps. 3 and 5 may then be used to model such problems.
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Ahmadi, G. and Farshad, M. (1974). On the continuum theory of solid-fluid mixtures – A superimposed model of equipresent constituents. Indian Journal of Technology, 12: 195.
Anandarajah, A. (1993a). VELACS Project: elasto-plastic finite element prediction of the liquefaction behavior of centrifuge models nos. 1, 3 and 4a. Proceedings of the International Conference on Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems, Davis, CA, Oct. 17–20. (Eds. K. Arulanandan and R. F. Scott), pp. 1075–1104.
Anandarajah, A. and Chen, J. (1997). Van der Waals attractive force between clay particles in water and contaminants. Soils and Foundations, Japanese Society of Soil Mechanics and Foundation Engineering, 37(2): 27–37.
Anandarajah, A. and Lu, N. (1992). Numerical study of the electrical double-layer repulsion between non-parallel clay particles of finite length. International Journal for Numerical and Analytical Methods in Geomechanics, 15(10): 683–703. CrossRef
Anandarajah, A., Rashidi, H. and Arulanandan, K. (1995). Elasto-plastic finite element analyses of earthquake pile-soil-structure interaction problems tested in a centrifuge. Computers and Geotechnics, 17: 301–325. CrossRef
Bear, J. and Bachmat, Y. (1986). Macroscopic modeling of transport phenomena in porous media: 2. Application to mass momentum and energy transport. Transport in Porous Media, 1: 241–269. CrossRef
Biot, M.A. and Willis, P.A. (1957). Elastic coefficients of the theory of consolidation. Journal of Applied Mechanics, 24: 594–601. MathSciNet
Bishop, A.W. (1959). The principle of effective stress. Teknisk Ukeblad, 39: 859–863.
Bowen, R.M. (1975). Theory of mixtures. In Continuum Physics. (Ed. A. C. Eringen), Academic, New York, Vol. 3, pp. 1–127.
Coussy, O. (1995). Mechanics of Porous Media. Wiley, Chichester.
De Boer, R. (1996). Highlights in the historical development of the porous media theory. Applied Mechanics Review, 49: 201–262. CrossRef
Drew, D.A. (1971). Averaged field equation for two-phase media. Studies in Applied Mechanics, 50: 133–166. MATH
Fisher, R.A. (1948). The fracture of liquids. Journal of Applied Physics, 19: 1062–1067. CrossRef
Fredlund, D.G. and Rahardjo, H. (1993). Soil Mechanics for Unsaturated Soils. Wiley, New York. CrossRef
Ghaboussi, J. and Wilson, E.L. (1972). Variational formulation of dynamics of fluid saturated porous elastic solids. Journal of Engineering Mechanics, ASCE, 98(EM4): 947–963.
Guan, Y. and Fredlund, D. (1997). Use of tensile strength of water for the direct measurement of high soil suction. Canadian Geotechnical Journal, 34(4): 604–614.
Gurtin, M.E., Oliver, M.L. and Williams, W.O. (1972). On balance of forces for mixtures. Quarterly of Applied Mathematics, 30: 527–530.
Hassanizadeh, M. and Gray, W.G. (1990). Mechanics and thermodynamics of multi-phase flow in porous media including inter-phase transport. Advances in Water Resources, 13(4): 169–186. CrossRef
Ishii, M. (1975). Thermo-Fluid Dynamic Theory of Two-Phase Flow, Eyrolles, Paris. MATH
Kalaydjian, F. (1987). A macroscopic description of multiphase flow involving spacetime and evolution of fluid/fluid interfaces. Transport in Porous Media, 2: 537–552. CrossRef
Lewis, R.W. and Schrefler, B.A. (1998). The Finite Element Method in the Deformation and Consolidation of Porous Media. Wiley, New York. MATH
Li, X.S. (2004). Modeling the hysteresis response for arbitrary wetting/drying paths. Computers and Geotechnics, 32: 133–137. CrossRef
Likos, W.J. and Lu, N. (2004). Hysteresis of capillary stress in unsaturated granular soil. Journal of Engineering Mechanics, ASCE, 130(6): 646–655. CrossRef
Lu, N. (2008). Is metric suction a stress variable? Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 134(7): 899–905. CrossRef
Lu, N. and Likos, W.J. (2004). Unsaturated Soil Mechanics. Wiley.
Morland, L.W. (1972). A simple constitutive theory for a fluid-saturated porous solids. Journal of Geophysical Research, 77: 890–900. CrossRef
Pietruszczak, S. and Pande, G.N. (1996). Constitutive relations for partially saturated soils containing gas inclusions. Journal of Geotechnical Engineering, ASCE, 122(1): 50–59. CrossRef
Sandhu, R.S. and Wilson, E.L. (1969). Finite element analysis of flow in saturated porous elastic media. Journal of Engineering Mechanics, ASCE, 95: 641–652.
Schiffman, R.L. (1970). Stress components of a porous medium. Journal of Geophysical Research, 75: 4035–4038. CrossRef
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.
Slattery, J.M. (1981). Momentum, Energy and Mass Transfer in Continua. (2nd Edition). McGraw Hill, New York.
Taylor, D.W. (1948). Fundamentals of Soil Mechanics. Wiley, New York.
Terzaghi, K. (1925). Erdbaumechanik auf bodenphysikalischer Grundlage. Leipzig, Deuticke. MATH
Terzaghi, K. (1936). The shearing resistance of saturated soils. Proceedings of the 1st ICSMFE, 1: 54–56.
Truesdell, C. (1965). The Elements of Continuum Mechanics. Springer, New York.
Truesdell, C. and Toupin, R. (1960). The classical field theories. In Handbuch der physic. (Ed. S. Flugge), Springer, Berlin, Vol. III/1.
Voyiadjis, G.Z., and Song, C.R. (2006). The Coupled Theory of Mixtures in Geomechanics with Applications, Springer, Heidelberg, ISBN: 3540-25130–8, 438 p.
Whitaker, S. (1986). Flow in porous media II: The governing equations for immiscible two-phase flow. Transport in Porous Media, 1: 105–126. CrossRef
Whitaker, S. (1999). The Method of Volume Averaging. Kluwer, Dordrecht/Boston/London, 219 pages.
Wroth, C.P. and Houlsby, G.T. (1985). Soil mechanics: property characterization and analysis procedures. Proceedings of the 11th International Conference on Soil Mechanics and Foundation Engineering, San Francisco, 1: 1–55.
Zienkiewicz, O.C. (1982). Basic formulation of static and dynamic behavior of soils and other porous materials. In Numerical Methods in Geomechanics. (Ed. J.B. Martins), D. Reidel, Boston and London.
Zienkiewicz, O.C., Chan, A.H.C., Pastor, M., Schrefler, B.A. and Shiomi, T. (1999). Computational Geomechanics with Special Reference to Earthquake Engineering. Wiley, New York. MATH
- Governing Equations in Porous Media
- Springer New York
- Chapter 6
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