Since 1963
ARTICLE
Analytical solution for one-dimensional consolidation of unsaturated soils under dynamic load
1
Lanzhou University of Technology, School of Civil Engineering, Lanzhou, China
2
Hexi University of Technology, School of Civil Engineering, Zhangye, China
3
Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of education, Lanzhou, China
Submission date: 2022-05-25
Final revision date: 2022-08-31
Acceptance date: 2022-10-01
Online publication date: 2022-12-12
Publication date: 2023-01-30
Corresponding author
Journal of Theoretical and Applied Mechanics 2023;61(1):11-22
KEYWORDS
TOPICS
ABSTRACT
Firstly, in this paper, based on the theory of the porous elastic medium and combined with
the effective stress principle of unsaturated soil, a set of governing equations is established
to describe consolidation of the unsaturated soil. Secondly, an analytical expression under
any dynamic loads is obtained with the help of Laplace integral transformation. Finally,
analysis of numerical examples under specific boundary conditions is made to discuss one-dimensional
consolidation characteristics under harmonic loads and the influence of factors
on the consolidation characteristics of unsaturated soil, such as excitation frequency and
initial saturation.
REFERENCES (25)
1.
Chen Z.H., Xie D.Y., Liu Z. D., 1993, Consolidation theory of unsaturated soil based on the theory of mixture (I), Applied Mathematics and Mechanics, 14, 137-150.
2.
Chen Z.H., Zhou H.Q., Fredlund D.G., 1999, Nonlinear model for unsaturated soils and its application, Chinese Journal of Geotechnical Engineering, 21, 603-608.
3.
Fredlund, Rahardjo D.G., 1993, Soil Mechanics for Unsaturated Soils, New York: John Wiley and Sons.
4.
Genuchten van M. Th., 1980, A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Science Society of America Journal, 44, 892-898.
5.
Ho L., Fatahi B., Khabbaz H., 2014, Analytical solution for one-dimensional consolidation of unsaturated soils using eigenfunction expansion method, International Journal for Numerical and Analytical Methods in Geomechanics, 38, 1058-1077.
6.
Huang M.S., Yang C., Cui Y.J., 2009, Elasto-plasticity bounding surface model for unsaturated soils under cyclic loading, Journal of Geotechnical Engineering, 31, 817-823.
7.
Jiang M.J., Leroueil S., Konrad J.M., 2004, Insight into shear strength functions of unsaturated granulates by DEM analyses, Computers and Geotechnics, 31, 473-489.
8.
Lo W.C., Sposito G., Chu H., 2014, Poroelastic theory of consolidation in unsaturated soils, Vadose Zone Journal, 13, 1-12.
9.
Lo W.C., Sposito G., Lee J.W., Chu H.H., 2016, One-dimensional consolidation in unsaturated soils under cyclic loading, Advances in Water Resources, 91, 122-137.
10.
Lo W.C., Sposito G., Majer E., 2002, Immiscible two-phase fluid flows in deformable porous media, Advances in Water Resources, 25, 1105-1117.
11.
Lo W.C., Sposito G., Majer E.L., 2005, Wave propagation through porous media containing two immiscible fluids, Water Resources Research, 41, 199-207.
12.
Lu N., Godt J.W., Wu D.T., 2010, A closed-form equation for effective stress in unsaturated soil, Water Resources Research, 46, 567-573.
13.
Pan X.D., Cai Y.Q., Xu C.J., Zhang Y.F., 2006, One-dimensional consolidation of viscoelastic saturated soil under cyclic load, Rock and Soil Mechanics, 27, 272-276.
14.
Pedroso D.M., Farias M.M., 2011, Extended Barcelona basic model for unsaturated soils under cyclic loadings, Computers and Geotechnics, 38, 731-740.
15.
Qin A.F., Sun D.A., Tan Y.W., 2010, Semi-analytical solution to one-dimensional consolidation in unsaturated soils, Applied Mathematics and Mechanics, 31, 215-226.
16.
Sheng J.S., Ting W., Yu Q.G., 2019, Equivalent consolidation deformation properties and onedimensional analysis method of unsaturated soil, Chinese Journal of Geotechnical Engineering, 31, 1037-1045.
17.
Shi G., Liu Z.Y., Li Y.H., 2018, One-dimensional rheological consolidation analysis of soft clay considering non-darcy seepage under cyclic load, Rock and Soil Mechanics, 39, 530-537.
18.
Su W.X., Xie K.H., 2010, Analytical solution of one-dimensional consolidation of unsaturated soil by mixed fluid method, Rock and Soil Mechanics, 31, 2661-2665.
19.
Toufigh M.M., Ouria A., 2009, Consolidation of inelastic clays under rectangular cyclic loading, Soil Dynamics and Earthquake Engineering, 29, 356-363.
20.
Wang L., Sun D.A., Li P.C., Xie Y., 2017a, Semi-analytical solution for one-dimensional consolidation of fractional derivative viscoelastic saturated soils, Computers and Geotechnics, 83, 30-39.
21.
Wang L., Sun D.A., Qin A.F., 2017b, General semi-analytical solutions to one-dimensional consolidation for unsaturated soils, Applied Mathematics and Mechanics (English Edition), 38, 831-850.
22.
Wang L., Xu Y.F., Xia X.H., Sun D.A., 2018, Semi-analytical solutions to two-dimensional plane strain consolidation for unsaturated soil, Computers and Geotechnics, 101, 100-113.
23.
Xie K.H., Huang D.Z., Wang Y.L., Deng Y.B., 2014, Analytical theory for one-dimensional consolidation of soil induced by time-dependent pumping and loading, Marine Georesources and Geotechnology, 32, 328-350.
24.
Xie K.H., Xie X.Y., Li X.B., 2008, Analytical theory for one-dimensional consolidation of clayey soils exhibiting rheological characteristics under time-dependent loading, International Journal for Numerical and Analytical Methods in Geomechanics, 32, 1833-1855.
25.
Yin Z.Z., Ling H., 2007, Simplified computation of one-dimensional consolidation for partially saturated soils, Journal of Geotechnical Engineering, 29, 633-637.
| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
