Chen Zheng-han. Consolidation Theory of Unsaturated Soil Based on the Theory of Mixture (Ⅱ)[J]. Applied Mathematics and Mechanics, 1993, 14(8): 687-698.
Citation: Chen Zheng-han. Consolidation Theory of Unsaturated Soil Based on the Theory of Mixture (Ⅱ)[J]. Applied Mathematics and Mechanics, 1993, 14(8): 687-698.

Consolidation Theory of Unsaturated Soil Based on the Theory of Mixture (Ⅱ)

  • Received Date: 1992-07-17
  • Publish Date: 1993-08-15
  • The present paper uses the mathematics model for consolidation of unsaturated soil developed in ref.[I] to solve boundary value problems.The analytical solutions for one-dimensional consolidation problem are gained by making use of Laplace transform and finite Fourier transform.The displacement and the pore water pressure as well as the pore gas pressure are found from governing equations simul taneously.The theoretical formulae of coefficient and degree of consolidation are also given in the paper.With the help of the method of Galerkin Weighted Residuals,the finite element equations for two-dimensional consolidation problem are derived.A FORTRAN program named CSU8 using 8-node isoparameter element is designed.A plane strain consol idation problem is solved using the program,and some distinguishing features on consolidation of unsaturated soil and certain peculiarities on numerical analysis are revealed.These achievements make it convenient to apply the theory proposed by the author in engineering practice.
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    朱伯芳,《有限单元法的原理及其应用》,水利电力出版社(1979).
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    Booker,J.R.and J.C.Small,An investigation of the stability of numerical solutions of Biot's equations of consolidation,Int.J.Solids and Structures,11,(1975),907-917.
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    Wilson,R.K.and E.C.Aifantis,On the theory of consolidation with double porosity,Int.J.Engng.Sci.,20(1982),1009-1035.
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