0. C. Zienkiewicz. Basic Formulation of Static and Dynamic Behaviours of Soil and Other Porous Media[J]. Applied Mathematics and Mechanics, 1982, 3(4): 417-428.
 Citation: 0. C. Zienkiewicz. Basic Formulation of Static and Dynamic Behaviours of Soil and Other Porous Media[J]. Applied Mathematics and Mechanics, 1982, 3(4): 417-428.

# Basic Formulation of Static and Dynamic Behaviours of Soil and Other Porous Media

• Publish Date: 1982-08-15
• This paper treats the soil and rock or concrete as a two-phase medium composed of a solid skeleton and an interstitial fluid. Under the unsaturated condition of interstitial fluid, the third phase is taken into consideration. In this paper, we consider the constitutive relation, dynamic and kinematic relations, and also various approximations with their limits of validity, including those of most practical engineering situations such as the consolidation problem and the undrained behaviour. The finite element discretization and the time dependent solution of various classes of soil problem are also discussed.
•  [1] Biot,M.A.,Theory of three-dimensional consolidation,J.Appl.Phys.,12.,155-164,(1941). [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). [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). [8] Zienkiewicz,O.C.,Humpheson,C.and Lewis,R.W.,A unified approach to soil mechanics problems,Chapter 4 of Finite 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,dgnamic 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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