TECHNICAL PAPERS
Jul 30, 2010

Limitations in the Constitutive Modeling of Unsaturated Soils and Solutions

Publication: International Journal of Geomechanics
Volume 11, Issue 3

Abstract

Over the past six decades, significant attention has been paid to the elastoplastic behavior of unsaturated soils. In the past two decades alone, elastoplastic theory for unsaturated soils has been established and experimental techniques for measuring the elastoplastic behavior of unsaturated soils have become more sophisticated. However, less effort has been directed at developing the best strategy for constitutive modeling of unsaturated soils. At present, there is no standard method for developing constitutive models for unsaturated soils from experimental data, and owing to the extreme complexity of unsaturated soil behavior, there are limitations in the existing modeling methods. If these limitations are not recognized, misleading results in the constitutive modeling of unsaturated soil behavior may occur. This paper discusses the origins of and possible solutions to these limitations. Experimental data from the recent literature are used to demonstrate the use of existing methods for the constitutive modeling of unsaturated soils and potential associated problems. A modified state-surface approach (MSSA), recently proposed to model the elastoplastic behavior of unsaturated soils under isotropic conditions, was applied to overcome the limitations and develop a constitutive model that can best represent the behavior of unsaturated soil. A comparison of the proposed method and existing methods is discussed, and from this discussion, the capability and effectiveness of the proposed method are evaluated.

Get full access to this article

View all available purchase options and get full access to this article.

References

Aitchison, G. D., and Donald, I. B. (1956). ‘‘Some preliminary studies of unsaturated soils.’’ Proc. 2nd Australia-New Zealand Conf. on Soil Mechanics and Foundation Engineering, Technical Publications for the New Zealand Institution of Engineers, Wellington, New Zealand, 192–199.
Al Mukhtar, M., Robinet, J. C., and Liu, C. W. (1993). “Hydro-mechanical behaviour of partially saturated low porosity clays.” Engineering Fills, B. G. Clark, C. J. F. P. Jones, and A. I. B. Moffat, eds., Thomas Telford, London, 87–89.
Alonso, E. E., Gens, A., and Gehling, W. Y. Y. (1994). “Elasto-plastic model for unsaturated expansive soils.” Numerical Models in Geotechnical Engineering, Balkema, 11–18.
Alonso, E. E., Gens, A., and Hight, D. W. (1987). “Special problem soils-general report.” 9th European Conf. on Soil Mechanics, Vol. 3, Dublin, 1087–1146.
Alonso, E. E., Gens, A., and Josa, A. (1990). “A constitutive model for partially saturated soils.” Geotechnique, 40(3), 405–430.
Alonso, E. E., Vaunat, J., and Gens, A. (1999). “Modeling the mechanical behavior of expansive clays.” Eng. Geol., 54(1–2), 173–183.
Bishop, A. W., Alpan, I., Blight, G. E., and Donald, I. B. (1960). “Factors controlling the shear strength of partly saturated cohesive soil.” Proc. ASCE Research Conf. on Shear Strength of Cohesive Soils, Univ. of Colorado, Boulder, CO, 503–532.
Bishop, A. W., and Blight, G. E. (1963). “Some aspects of effective stress in saturated and unsaturated soils.” Geotechnique, 13(3), 177–197.
Bishop, A. W., and Donald, I. B. (1961). “The experimental study of partly saturated soil in the triaxial apparatus.” Proc. 5th Int. Conf. Soil Mech., Vol. 1, 13–21.
Blatz, J. A., and Graham, J. (2003). “Elastic-plastic modeling of unsaturated soil using results from a new triaxial test with controlled suction.” Geotechnique, 53(1), 113–122.
Bolzon, G., Schrefler, B. A., and Zienkiewicz, O. C. (1996). “Elastoplastic soil constitutive laws generalised to partially saturated states.” Geotechnique, 46, 279–289.
Casagrande, A. (1936). “The determination of the preconsolidation load and its practical significance.” Proc. 1st Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 3, Balkema, Rotterdam, Netherlands, 60–64.
Costa, L. M., and Alonso, E. E. (2009). “Predicting the behavior of an earth and rockfill dam under construction.” J. Geotech. Geoenviron. Eng., 135(7), 851–862.
Cui, Y. J., and Delage, P. (1996). “Yielding and plastic behaviour of an unsaturated compacted silt.” Geotechnique, 46(2), 291–311.
Dangla, O. L., Malinsky, L., and Coussy, O. (1997). “Plasticity and imbibition-drainage curves for unsaturated soils: A unified approach.” 6th Int. Conf. on Numerical Models in Geomechanics, Balkema, Rotterdam, Netherlands, 141–146.
Delage, P., and Graham, I. (1996). “State of the art report—Understanding the behavior of unsaturated soils requires reliable conceptual models.” Proc. 1st International Conf. on Unsaturated Soils, Vol. 3, Paris, 1223–1256.
Delage, P., Suraj, D., Silva, G. P. R., and Vicol, T. (1992). “Suction controlled testing of non saturated soils with an osmotic consolidometer.” 7th Int. Conf. Expansive Soils, Dallas, 206–211.
Dineen, K., and Burland, J. B. (1995). “A new approach to osmotically controlled oedometer testing.” Proc. 1st Conf. on Unsaturated Soils (UNSAT 95), Vol. 2, Balkema, Paris, 459–465.
Fredlund, D. G. (1979). “Appropriate concepts and technology for unsaturated soils.” Can. Geotech. J., 16(1), 121–139.
Fredlund, D. G., and Morgenstern, N. R. (1976). “Constitutive relations for volume change in unsaturated soils.” Can. Geotech. J., 13(3), 261–276.
Fredlund, D. G., and Morgenstern, N. R. (1977). “Stress state variables for unsaturated soils.” J. Geotech. Eng., 103, 447–466.
Fredlund, D. G., and Rahardjo, H. (1993). Soil mechanics for unsaturated soils, Wiley, New York.
Gallipoli, D., et al. (2006). “The MUSE Network: Sharing research expertise on unsaturated soils across Europe.” 4th Int. Conf. on Unsaturated Soils, ASCE, Reston, VA.
Gallipoli, D., Gens, A., Sharma, R., and Vaunat, J. (2003a). “An elastoplastic model for unsaturated soil incorporating the effects of suction and degree of saturation on mechanical behaviour.” Geotechnique, 53, 123–135.
Gallipoli, D., Wheeler, S. J., and Karstunen, M. (2003b). “Modeling the variation of degree of saturation in a deformable unsaturated soil.” Geotechnique, 53(1), 105–112.
Geiser, F., Laloui, L., and Vulliet, L. (2000). “Modelling the behaviour of unsaturated silt.” Experimental evidence and theoretical approaches in unsaturated soils, Balkema, Rotterdam, Netherlands, 155–175.
Gens, A. (1996). “Constitutive modelling: Application to compacted soil.” Proc. 1st Int. Conf. on Unsaturated Soils, Vol. 3, Paris, 1179–1200.
Gens, A., and Alonso, E. E. (1992). “A framework for the behavior of unsaturated expansive clays.” Can. Geotech. J., 29(6), 1013–1032.
Gens, A., Sánchez, M., and Sheng, D. (2006). “On constitutive modelling of unsaturated soils.” Acta Geotechnica, 1(3), 137–147.
Hilf, J. W. (1956). “An investigation of pore-water pressure in compacted cohesive soils.” Ph.D. dissertation, Technical Memorandum No. 654, U.S. Department of the Interior, Bureau of Reclamation, Design and Construction Division, Denver.
Hoyos, L. R. (1998). “Experimental and computational modeling of unsaturated soil behavior under true triaxial stress states.” Ph.D. dissertation, Georgia Institute of Technology, Atlanta.
Jennings, J. E., and Burland, J. B. (1962). “Limitations to the use of effective stresses in partly saturated soils.” Geotechnique, 12(2), 125–144.
Khalili, N., and Loret, B. (2001). “An elasto-plastic model for nonisothermal analysis of flow and deformation in unsaturated porous media: Formulation.” Int. J. Solids Struct., 38, 8305–8330.
Lloret, A., and Alonso, E. E. (1980). “Consolidation of unsaturated soils including swelling and collapse behavior.” Geotechnique, 30(4), 449–477.
Lloret, A., and Alonso, E. E. (1985). “State surfaces for partially saturated soils.” Proc. 11th Int. Conf. Soil Mechanics and Foundation Engineering, Vol. 2, San Francisco, 557–562.
Matyas, E. L., and Radhakrishna, H. S. (1968). “Volume change characteristics of partially saturated soils.” Geotechnique, 18(4), 432–448.
Rampino, C., Mancuso, C., and Vinale, F. (1999). “Laboratory testing on an unsaturated soil: Equipment, procedures, and first experimental results.” Can. Geotech. J., 36, 1–12.
Rampino, C., Mancuso, C., and Vinale, F. (2000). “Experimental behaviour and modelling of an unsaturated compacted soil.” Can. Geotech. J., 37, 748–763.
Robles, J., and Elorza, F. J. (2002). “A triaxial constitutive model for unsaturated soils.” Environmental Geomechanics, Laurent Vulliet, Lyesse Laloui, and Bernard Schrefler, eds., EPFL Press, Lausanne, Switzerland, 207–213.
Sharma, R. S. (1998). “Mechanical behaviour of unsaturated highly expansive clays.” D.Phil. thesis, Univ. of Oxford, UK.
Sheng, D., Fredlund, D. G., and Gens, A. (2008a). “A new modelling approach for unsaturated soils using independent stress variables.” Canadian Geotechnical Journal, 45(4), 511–534.
Sheng, D., Gens, A., Fredlund, D. G., and Sloan, S. W. (2008b). “Unsaturated soils: From constitutive modelling to numerical algorithms.” Comput. Geotech., 35(6), 810–824.
Sheng, D., Sloan, S. W., and Gens, A. (2004). “A constitutive model for unsaturated soils: Thermomechanical and computational aspects.” Comput. Mech. Adv., 33(6), 453–465.
Sheng, D., Sloan, S. W., Gens, A., and Smith, D. W. (2003a). “Finite element formulation and algorithms for unsaturated soils. Part I: Theory.” Int. J. Numer. Anal. Meth. Geomech., 27, 745–765.
Sheng, D., Smith, D. W., Sloan, S. W., and Gens, A. (2003b). “Finite element formulation and algorithms for unsaturated soils. Part II: Verification and application.” Int. J. Numer. Anal. Meth. Geomech., 27, 767–790.
Tamagnini, R. (2004). “An extended Cam-clay model for unsaturated soils with hydraulic hysteresis.” Geotechnique, 54, 223–228.
Thu, T. M., Rahardjo, H., and Leong, E. C. (2007). “Soil-water characteristic curve and consolidation behavior for a compacted silt.” Can. Geotech. J., 44(3), 266–275.
Vassallo, R., Mancuso, C., and Vinale, F. (2007). “Effects of net stress and suction history on the small strain stiffness of a compacted clayey silt.” Can. Geotech. J., 44(4), 447–462.
Vaunat, J. (2005). “Elastoplastic framework to model unsaturated materials.” 1st MUSE School “Fundamentals of Unsaturated Soils.” Barcelona, Spain, June 1–2, 2005. 〈http://muse.dur.ac.uk/〉 (Apr. 21, 2011).
Vaunat, J., Romero, E., and Jommi, C. (2000). “An elastoplastic hydro-mechanical model for unsaturated soils.” Experimental evidence and theoretical approaches in unsaturated soils, Balkema, Rotterdam, Netherlands, 121–138.
Wang, D., Lan, M., and Yang, Q. (2008). “Experimental research on volume changes of unsaturated remolded clay with low liquid limit.” Shuili Xuebao, 39(3), 367–372 (in Chinese).
Wheeler, S. J. (1996). “Inclusion of specific water volume within an elasto-plastic model for unsaturated soils.” Can. Geotech. J., 33, 42–57.
Wheeler, S. J., and Karube, D. (1996). “State of the art report—Constitutive modeling.” Proc. 1st Int. Conf. on Unsaturated Soils, Vol. 3, Paris, 1323–1356.
Wheeler, S. J., and Sivakumar, V. (1995). “An elasto-plastic critical state framework for unsaturated soil.” Geotechnique, 45(1), 35–53.
Wheeler, S. J., Sharma, R. S., and Buisson, M. S. R. (2003). “Coupling of hydraulic hysteresis and stress-strain behaviour in unsaturated soils.” Geotechnique, 53, 41–54.
Zhang, X., Liu, J., and Li, P. (2010). “Determining the shapes of yield curves for unsaturated soils by modified state surface approach.” J. Geotech. Geoenviron. Eng, 136(1), 239–247.
Zhang, X., and Lytton, R. L. (2009a). “A modified state surface approach on unsaturated soil behavior study (I) Basic concept.” Can. Geotech. J., 46(5), 536–552.
Zhang, X., and Lytton, R. L. (2009b). “A modified state surface approach on unsaturated soil behavior study (II) General formulation.” Can. Geotech. J., 46(5), 553–570.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 11Issue 3June 2011
Pages: 174 - 185

History

Received: Nov 21, 2009
Accepted: Jul 1, 2010
Published online: Jul 30, 2010
Published in print: Jun 1, 2011

Permissions

Request permissions for this article.

Authors

Affiliations

Xiong Zhang, A.M.ASCE [email protected]
Assistant Professor, Alaska Univ. Transportation Center, Dept. of Civil and Environmental Engineering, Univ. of Alaska Fairbanks, Fairbanks, AK 99775 (corresponding author). E-mail: [email protected]
Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Alaska Fairbanks, Fairbanks, AK 99775. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share