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Zienkiewicz, O. C.

Basic formulation of static and dynamic behaviours of soil and other porous media. (English) Zbl 0501.73104

Appl. Math. Mech., Engl. Ed. 3, 457-468 (1982).
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Cited in 6 Documents

MSC:

74L10 Soil and rock mechanics
74A60 Micromechanical theories
74M25 Micromechanics of solids
74A20 Theory of constitutive functions in solid mechanics
74E30 Composite and mixture properties

Keywords:

rock; concrete; two-phase medium; solid skeleton; unsaturated condition of interstitial fluid; third phase; constitutive relation; dynamic and kinematic relations; approximations; limits of validity; consolidation; undrained behaviour; finite element discretization; time dependent solution; time stepping-staggered procedures
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References:

[1] Biot, M. A.,Theory of three-dimensional consolidation, J. Appl. Phys., 12, 155–164, (1941). · JFM 67.0837.01 · doi:10.1063/1.1712886
[2] Biot, M.A.,Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys. 33, 1483–98, (1960).
[3] Madsen, O.S.,Wave induced pore pressure and effective stresses in a porous bed.Geotechnique, 28, 377–393.
[4] Park, K. C. and Felippa, C.A.,Partitioned transient analysis procedures for coupled field problems–accuracy analysis. (to be published). · Zbl 0462.73066
[5] Terzhagi, K., Erdboumechanik, Franz Deuticke, Vienna, (1925).
[6] William, T, and Whitman, R. V.,Soil Mechanics, John Wiley, (1969).
[7] Zienkiewicz, O.C.,The Finite Element Method., Third Edition, McGraw-Hill, (1977). · Zbl 0435.73072
[8] Zienkiewicz, O.C., Humpheson, C. and Lewis, R.W.,A unified approach to soil mechanics problems, Chapter 4 ofFinite Elements in Geomechanics, 151–78, ed. G. Gudehus, J. Wiley, (1977).
[9] Zienkiewicz, O.C. and Bettess, P.,Soil and other porous material under transient, dynamic condition, general formulation and validity of various simplified assumptions. in ”Soils under Cyclic and Transient Loading”, eds. G.N. Panade, and O.C. Zienkiewicz, John Wiley (to be published).
[10] Zienkiewicz, O.C., Leung, K.H., Hinton, E. and Chang, C.T.,Earthdam analysis for earthquakes. Proceedings of Conference on ”Design of Dams to Resist Earthquakes., Inst. Civ. Eng. London, Oct., 1–2, (1980).
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