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CLC number: TU45

On-line Access: 2013-01-02

Received: 2012-07-01

Revision Accepted: 2012-11-15

Crosschecked: 2012-12-10

Cited: 7

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Citations:  Bibtex RefMan EndNote GB/T7714

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Journal of Zhejiang University SCIENCE A 2013 Vol.14 No.1 P.61-70

http://doi.org/10.1631/jzus.A1200167


Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition


Author(s):  Zhen-dong Shan1,2, Dao-sheng Ling1, Hao-jiang Ding1

Affiliation(s):  1. MOE Key Lab of Soft Soils and Geo-environmental Engineering, Zhejiang University, Hangzhou 310058, China; more

Corresponding email(s):   dsling@zju.edu.cn

Key Words:  Unsaturated soil, Consolidation, Mixed boundary condition, Analytical solution


Zhen-dong Shan, Dao-sheng Ling, Hao-jiang Ding. Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition[J]. Journal of Zhejiang University Science A, 2013, 14(1): 61-70.

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author="Zhen-dong Shan, Dao-sheng Ling, Hao-jiang Ding",
journal="Journal of Zhejiang University Science A",
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pages="61-70",
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doi="10.1631/jzus.A1200167"
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%T Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition
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%A Dao-sheng Ling
%A Hao-jiang Ding
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T1 - Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition
A1 - Zhen-dong Shan
A1 - Dao-sheng Ling
A1 - Hao-jiang Ding
J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1200167


Abstract: 
Based on consolidation equations proposed for unsaturated soil, an analytical solution for 1D consolidation of an unsaturated single-layer soil with nonhomogeneous mixed boundary condition is developed. The mixed boundary condition can be used for special applications, such as tests occur in laboratory. The analytical solution is obtained by assuming all material parameters remain constant during consolidation. In the derivation of the analytical solution, the nonhomogeneous boundary condition is first transformed into a homogeneous boundary condition. Then, the eigenfunction and eigenvalue are derived according to the consolidation equations and the new boundary condition. Finally, using the method of undetermined coefficients and the orthogonal relation of the eigenfunction, the analytical solution for the new boundary condition is obtained. The present method is applicable to various types of boundary conditions. Several numerical examples are provided to investigate the consolidation behavior of an unsaturated single-layer soil with mixed boundary condition.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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