JZUS - Journal of Zhejiang University SCIENCE

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 Shan^1,2, 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

Share this article to： More <<< Previous Article \|Next Article >>>

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
Chinese Summary
Academic Network
Reviewer Comment

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

References

[1] Ausilio, E., Conte, E., 1999. Settlement rate of foundations on unsaturated soils. Canadian Geotechnical Journal, 36(5):940-946.

[2] Barden, L., 1965. Consolidation of compacted and unsaturated clays. Gotechnique, 15(3):267-286.

[3] Barden, L., 1974. Consolidation of clays compacted dry and wet of optimum water content. Gotechnique, 24(4):605-625.

[4] Biot, M.A., 1941. General theory of three-dimensional consolidation. Journal of Applied Physics, 12(2):155-164.

[5] Blight, G.E., 1961. Strength and Consolidation Characteristics of Compacted Soils. PhD Thesis, University of London,England :

[6] Conte, E., 2004. Consolidation analysis for unsaturated soils. Canadian Geotechnical Journal, 41(4):599-612.

[7] Conte, E., 2006. Plane strain and axially symmetric consolidation in unsaturated soils. International Journal of Geomechanics, 6(2):131-135.

[8] Dakshanamurthy, V.V., Fredlund, D.G., Rahardjo, H., 1984. Coupled Three-Dimensional Consolidation Theory of Unsaturated Porous Media. , Fifth International Conference on Expansive Soils, Adelaide, South Australia, 99-103. :99-103.

[9] Fredlund, D.G., Hasan, J.U., 1979. One-dimensional consolidation theory: unsaturated soils. Canadian Geotechnical Journal, 16(3):521-531.

[10] Fredlund, D.G., Rahardjo, H., 1993. Soil Mechanics for Unsaturated Soil. John Wiley and Sons,New York :

[11] Geng, X.Y., Xu, C.J., Cai, Y.Q., 2006. Non-linear consolidation analysis of soil with variable compressibility and permeability under cyclic loads. International Journal for Numerical and Analytical Methods in Geomechanics, 30(8):803-821.

[12] Qin, A.F., Chen, G.J., Tan, Y.W., Sun, D.A., 2008. Analytical solution to one-dimensional consolidation in unsaturated soils. Applied Mathematics and Mechanics, 29(10):1329-1340.

[13] Qin, A.F., Sun, D.A., Tan, Y.W., 2010. Analytical solution to one-dimensional consolidation in unsaturated soils under load varying exponentially with time. Computers and Geotechnics, 37(1-2):233-238.

[14] Scott, R.F., 1963. Principles of Soil Mechanics. Addison-Wesley Publishing Company, Inc,Reading, MA :

[15] Shan, Z.D., Ling, D.S., Ding, H.J., 2012. Exact solutions for one dimensional consolidation of single layer unsaturated soil. International Journal for Numerical and Analytical Methods in Geomechanics, 36(6):708-722.

[16] Terzaghi, K., 1943. Theoretical Soil Mechanics. Wiley,New York :

[17] Wong, T.T., Fredlund, D.G., Krahn, J., 1998. A numerical study of coupled consolidation in unsaturated soils. Canadian Geotechnical Journal, 35(6):926-937.

Similar articles

- Go to

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

References