Dynamic Analysis of Unsaturated Soils Subjected to Large Deformations

Article Preview

Abstract:

This paper deals with the large deformation analysis of partially saturated soils subjected to dynamic loading. The so-called ‘mixture’ theory is employed to consider the hydro-mechanical coupling involved in this kind of problem. The finite element method is used to discretise the problem domain and the generalized-α algorithm is employed to integrate the governing equations over time. Some of the most challenging aspects of dynamic analysis of partially saturated soils will be discussed. One of the key challenges is selecting a consistent constitutive model within the theory of mixtures that can incorporate the pore suction forces into the description of stress. The necessity of such incorporation has frequently been reported in experimental studies of unsaturated soils. To tackle this problem, a unique strategy for integrating the constitutive model for unsaturated soils is adopted. Moreover, an absorbing boundary condition, which prevents wave reflection from rigid boundaries, is introduced and implemented into the numerical algorithm. Finally, a solution for the problem of dynamic compaction of soil in a partially saturated condition is presented.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

354-359

Citation:

Online since:

July 2016

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2016 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] X. Li, O. Zienkiewicz, Multiphase flow in deforming porous media and finite element solutions. Computers & structures. 45(2) (1992) 211-227.

DOI: 10.1016/0045-7949(92)90405-o

Google Scholar

[2] O. Zienkiewicz, A. Chan, M. Pastor, D. Paul, T. Shiomi, Static and dynamic behaviour of soils: a rational approach to quantitative solutions. I. Fully saturated problems. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. 429(1877) (1990).

DOI: 10.1098/rspa.1990.0061

Google Scholar

[3] D. Sheng, S. W. Sloan, A. Gens, D. W. Smith, Finite element formulation and algorithms for unsaturated soils. Part I: Theory. International journal for numerical and analytical methods in geomechanics. 27(9) (2003) 745-765.

DOI: 10.1002/nag.295

Google Scholar

[4] D. Sheng, D. G. Fredlund, A. Gens, A new modelling approach for unsaturated soils using independent stress variables. Canadian Geotechnical Journal. 45(4) (2008) 511-534.

DOI: 10.1139/t07-112

Google Scholar

[5] X. Li, H. Thomas, Y. Fan, Finite element method and constitutive modelling and computation for unsaturated soils. Computer methods in applied mechanics and engineering. 169(1) (1999) 135-159.

DOI: 10.1016/s0045-7825(98)00181-9

Google Scholar

[6] W. Ehlers, T. Graf, M. Ammann, Deformation and localization analysis of partially saturated soil. Computer methods in applied mechanics and engineering. 193(27) (2004) 2885-2910.

DOI: 10.1016/j.cma.2003.09.026

Google Scholar

[7] A. Liakopoulos, Transient flow through unsaturated porous media. D. Eng. Berkeley, University of California at Berkeley. Doctor of Philosophy.

Google Scholar

[8] A. Khoei, T. Mohammadnejad, Numerical modeling of multiphase fluid flow in deforming porous media: A comparison between two-and three-phase models for seismic analysis of earth and rockfill dams. Computers and Geotechnics. 38(2) (2011) 142-166.

DOI: 10.1016/j.compgeo.2010.10.010

Google Scholar

[9] J. Ghorbani, M. Nazem, J. P. Carter, Application of the generalised-α method in dynamic analysis of partially saturated media. Computer Methods and Recent Advances in Geomechanics - Proceedings of the 14th Int. Conference of International Association for Computer Methods and Recent Advances in Geomechanics (2015).

DOI: 10.1201/b17435-19

Google Scholar

[10] J. Ghorbani, M. Nazem, J. P. Carter, Numerical Study of Dynamic Soil Compaction at Different Degrees of Saturation. The Twenty-fifth International Offshore and Polar Engineering Conference, International Society of Offshore and Polar Engineers (2015).

Google Scholar

[11] G. Houlsby, The work input to an unsaturated granular material. Géotechnique. 47(1) (1997) 193-196.

DOI: 10.1680/geot.1997.47.1.193

Google Scholar

[12] N. Khalili, M. Habte, S. Zargarbashi, A fully coupled flow deformation model for cyclic analysis of unsaturated soils including hydraulic and mechanical hystereses. Computers and Geotechnics. 35(6) (2008) 872-889.

DOI: 10.1016/j.compgeo.2008.08.003

Google Scholar

[13] S. W. Sloan, A. J. Abbo, D. Sheng, Refined explicit integration of elastoplastic models with automatic error control. Engineering Computations. 18(1/2) (2001) 121-194.

DOI: 10.1108/02644400110365842

Google Scholar

[14] J. Lysmer, R. L. Kuhlemeyer, Finite dynamic model for infinite media. Journal of the Engineering Mechanics Division. 95(4) (1969) 859-878.

DOI: 10.1061/jmcea3.0001144

Google Scholar

[15] B. Albers, Analysis of the propagation of sound waves in partially saturated soils by means of a macroscopic linear poroelastic model. Transport in porous media. 80(1) (2009) 173-192.

DOI: 10.1007/s11242-009-9360-y

Google Scholar

[16] R. H. Brooks, A. T. Corey, Hydraulic Properties of Porous Media. Hydrology Papers. 3. (1964).

Google Scholar