Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition
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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.
@article{title="Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition",
author="Zhen-dong Shan, Dao-sheng Ling, Hao-jiang Ding",
journal="Journal of Zhejiang University Science A",
volume="14",
number="1",
pages="61-70",
year="2013",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1200167"
}
%0 Journal Article
%T Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition
%A Zhen-dong Shan
%A Dao-sheng Ling
%A Hao-jiang Ding
%J Journal of Zhejiang University SCIENCE A
%V 14
%N 1
%P 61-70
%@ 1673-565X
%D 2013
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1200167
TY - JOUR
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
VL - 14
IS - 1
SP - 61
EP - 70
%@ 1673-565X
Y1 - 2013
PB - Zhejiang University Press & Springer
ER -
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.
Full Text:
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CLC number: TU45
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2012-12-10
Cited: 7
Clicked: 9338
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