| CONSOLIDATION THEORY OF UNSATURATED SOIL BASED ON THE THEORY OF MIXTURE(Ⅱ) |
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| 引用本文： | 陈正汉.CONSOLIDATION THEORY OF UNSATURATED SOIL BASED ON THE THEORY OF MIXTURE(Ⅱ)[J].应用数学和力学(英文版),1993,14(8):721-733. |
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| 作者姓名： | 陈正汉 |
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| 作者单位： | Logistical Engineering |
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| 基金项目： | Project supported by the National Natural Science Foundation of China |
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| 摘 要： | The present paper uses the mathematics model for consolidation of unsaturatedsoil developed in ref.1]to solve boundary value problems.The analytical solutionsfor one-dimensional consolidation problem are gained by making use of Laplacetransform and finite Fourier transform.The displacement and the pore water pressureas well as the pore gas pressure are found from governing equations simultaneously.The theoretical formulae of coefficient and degree of consolidation are also given inthe paper.With the help of the method of Galerkin Weighted Residuals,the finiteelement equations for two-dimensional consolidation problem are derived.A FORTRANprogram named CSU8 using8-node isoparameter element is designed.A plane strainconsolidation problem is solved using the program,and some distinguishing features onconsolidation of unsaturated soil and certain peculiarities on numerical analysis arerevealed.These achievements make it convenient to apply the theory proposed by theauthor in engineering practice.
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| 收稿时间： | 17 July 1992 |
Consolidation theory of unsaturated soil based on the theory of mixture (II) |
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| Chen Zheng-han.Consolidation theory of unsaturated soil based on the theory of mixture (II)[J].Applied Mathematics and Mechanics(English Edition),1993,14(8):721-733. |
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| Authors: | Chen Zheng-han |
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| Institution: | (1) Logistical Engineering College, Chongqing |
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| Abstract: | 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 simultaneously. 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 consolidation 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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| Keywords: | pore water pressure pore gas pressure coefficient of consolidation degree of consolidation initial settlement finite element |
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