Plane Strain and Axially Symmetric Consolidation in Unsaturated Soils
Publication: International Journal of Geomechanics
Volume 6, Issue 2
Abstract
A method is presented for the analysis of coupled consolidation in unsaturated soils due to loading under conditions of plane strain as well as axial symmetry. The method is based on the transformation of the governing differential equations by the Fourier transform, when the soil system is deformed under plane strain conditions, or Hankel transform for problems exhibiting axial symmetry. The effect of such transformations is to simplify considerably the solution from a computational point of view. In addition, using these transformations the same differential equations can be used to analyze consolidation under both the above conditions. Results are presented to point out some aspects of the consolidation in unsaturated soils generated by the application of strip as well as circular loads.
Get full access to this article
View all available purchase options and get full access to this article.
References
Bishop, A. W. (1959). “The principle of effective stress.” Tek. Ukeblad, 106(39), 859–863.
Booker, J. R., and Small, J. C. (1982). “Finite layer analysis of consolidation. II.” Int. J. Numer. Analyt. Meth. Geomech., 6(3), 173–194.
Conte, E. (2004). “Consolidation analysis for unsaturated soils.” Can. Geotech. J., 41(4), 599–612.
Cryer, C. W. (1963). “A comparison of the three-dimensional consolidation theories of Biot and Terzaghi.” Q. J. Mech. Appl. Math., 16(6), 401–412.
Dakshanamurthy, V., Fredlund, D. G., and Rahardjo, H. (1984). “Coupled three-dimensional consolidation theory of unsaturated porous media.” Proc., 5th Int. Conf. on Expansive Soils, American Society of Civil Engineering, Adelaide, Australia, 99–103.
Fredlund, D. G., and Morgenstern, N. R. (1976). “Constitutive relations for volume change in unsaturated soils.” Can. Geotech. J., 13(3), 261–276.
Lloret, A., Gens, A., Batlle, F., and Alonso, E. E. (1987). “Flow and deformation analysis of partially saturated soils.” Proc., 9th European Conf. on Soil Mechanics and Foundation Engineering, Balkema, Dublin, Ireland, Vol. 2, 565–568.
Loret, B., and Khalili, N. (2000). “A three-phase model for unsaturated soils.” Int. J. Numer. Analyt. Meth. Geomech., 24(11), 893–927.
Sheng, D., Sloan, S. W., Gens, A., and Smith, D. W. (2003). “Finite element formulation and algorithms for unsaturated soils. Part I: Theory.” Int. J. Numer. Analyt. Meth. Geomech., 27(9), 745–765.
Thomas, H. R., and He, Y. (1997). “A coupled heat-moisture transfer theory for deformable unsaturated soils and its algorithmic implementation.” Int. J. Numer. Methods Eng., 40(18), 3421–3441.
Wong, T. T., Fredlund, D. G., and Krahn, J. (1998). “A numerical study of coupled consolidation in unsaturated soils.” Can. Geotech. J., 35(6), 926–937.
Information & Authors
Information
Published In
Copyright
© 2006 ASCE.
History
Received: Feb 24, 2004
Accepted: Feb 22, 2005
Published online: Mar 1, 2006
Published in print: Mar 2006
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.