Modeling the Stress-Dilatancy Relationship of Unsaturated Silica Sand in Triaxial Compression Tests
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 142, Issue 11
Abstract
It is well known that partial saturation increases the shear strength and dilatancy of unsaturated sand. However, little research has been carried out on the actual stress-dilatancy relationship. This paper shows that the increase in peak shear strength caused by partial saturation is consistent with an increase in dilatancy, and that conventional stress-dilatancy theories are still valid for unsaturated sand. The use of state indexes as a proxy for dilatancy were investigated and extended to unsaturated sands. Additionally, these indexes can be used to establish a critical state line that is based on material properties only. The validity of the stress-dilatancy theories and the use of state indexes offer simplicity in modeling the shear behavior of unsaturated sand. This will be demonstrated in this paper with the Nor-Sand model, with which the wetting collapse can be explained as a consequence of a loss of dilatancy characteristics.
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Acknowledgments
The authors would like to thank Dr Takashi Sakanoue from Tokyo Gas, Japan, for his technical and financial support. This project has received funding from the European Union’s Seventh Framework Program for research, technological development and demonstration under grant agreement no PIAP-GA-2012-324522 and from the Swiss National Science Foundation under grant agreement P1SKP2 158621.
References
Aitchison, G. D. (1960). “Relationships of moisture stress and effective stress functions in unsaturated soils.” Conf. Pore Pressures and Suction in Soils, Butterworths, London.
Alonso, E., Gens, A., and Josa, A. (1990). “A constitutive model for partially saturated soils.” Géotechnique, 40(3), 405–430.
Alonso, E., Pereira, J.-M., Vaunat, J., and Olivella, S. (2010). “A microstructurally based effective stress for unsaturated soils.” Géotechnique, 60(12), 913–925.
Andrade, J. E. (2006). “Meso-scale finite element simulation of deformation banding in fluid-saturated sands.” Ph.D. thesis, Stanford Univ., Stanford, CA.
Bardet, J. P. (1986). “Bounading surface plasticity model for sand.” J. Eng. Mech., 1198–1217.
Been, K., and Jefferies, M. G. (1985). “A state parameter for sands.” Géotechnique, 35(2), 99–112.
Bishop, A. (1959). “The principles of effective stress.” Tecnisk Ukeblad, 8, 859–863.
Bishop, A. and Blight, G. (1963). “Some aspects of effective stress in saturated and partly saturated soils.” Géotechnique, 13(3), 177–197.
Bolton, M. (1986). “The strength and dilatancy of sands.” Géotechnique, 36(1), 65–78.
Bolzon, G., Schrefler, B. A., and Zienkiewicz, O. C. (1996). “Elastoplastic soil constitutive laws generalized to partially saturated states.” Géotechnique, 46(2), 279–289.
Borja, R. I., and Andrade, J. E. (2006). “Critical state plasticity—Part VI: Meso-scale finite element simulation of strain localization in discrete granular materials.” Comput. Methods Appl. Mech. Eng., 195(37–40), 5115–5140.
Boulanger, R. W. (2003). “Relating to relative state parameter index.” J. Geotech. Geoenviron. Eng., 770–773.
Chiu, C. F., and Ng, C. (2003). “A state-dependent elasto-plastic model for saturated and unsaturated soils.” Géotechnique, 53(9), 809–829.
Coleman, J. D. (1962). “Stress-strain relations for partly saturated soil.” Géotechnique, 12(4), 348–350.
Cui, Y., and Delage, P. (1996). “Yielding and plastic behaviour of an unsaturated compacted silt.” Géotechnique, 46(2), 291–311.
Dafalias, Y. F., and Popov, E. P. (1975). “A model of nonlinearly hardening materials for complex loading.” Acta Mech., 21(3), 173–192.
Desrues, J., Chambon, R., Mokni, M., and Mazerolle, F. (1996). “Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography.” Géotechnique, 46(3), 529–546.
Donald, I. B. (1956). “Shear strenght measurements.” 2nd Australian-New Zeland Conf. on Soil Mechanics and Foundation Engineering, New Zealand Institution of Engineers, Christchurch, New Zealand, 200–204.
D’Onza, F., et al. (2011). “Benchmark of constitutive models for unsaturated soils.” Géotechnique, 61(4), 283–302.
Drucker, D., Gibson, R., and Henkel, D. (1957). “Soil mechanics and work-hardening theories of plasticity.” J. Soil Mech. Found. Eng., 122, 338–346.
Fern, J., Robert, D., Sakanoue, T., and Soga, K. (2015). “Shear strength and dilatancy of unsaturated silica sand in triaxial compression tests.” Computer methods and recent advances in geomechanics, F. Oka, A. Murakami, R. Uzuoka, and S. Kimoto, eds., Taylor & Francis, London, 535–540.
Fredlund, D. G., Morgenstern, N. R., and Widger, R. A. (1978). “The shear strength of unsaturated soils.” Can. Geotech. J., 15(3), 313–321.
Geiser, F. (1999). “Comportement mécanique d’un limon non saturé: étude expérimentale et modélisation constitutive.” Ph.D. thesis, Ecole Polytechnique fédérale de Lausanne, Lausanne, Switzerland.
Hashiguchi, K., and Chen, Z. P. (1998). “Elastoplastic constitutive equation of soils with the subloading surface.” Int. J. Numer. Anal. Methods Geomech., 22(6), 197–227.
Higo, Y., Oka, F., Kimoto, S., Sanagawa, T., and Matsushima, Y. (2011). “Study of strain localization and microstructural changes in partially saturated sand during triaxial tests using microfocus X-ray CT.” Soils Found., 51(1), 95–111.
Jefferies, M. (1993). “Nor-Sand: A simple critical state model for sand.” Géotechnique, 43(1), 91–103.
Jefferies, M., and Been, K. (2006). Soil liquefaction a critical state approach, Taylor & Francis, London.
Jefferies, M., and Shuttle, D. (2002). “Dilatancy in general Cambridge-type models.” Géotechnique, 52(9), 625–638.
Jefferies, M., and Shuttle, D. (2011). “On the operating critical friction ratio in general stress states.” Géotechnique, 61(8), 709–713.
Jennings, J., and Burland, J. (1962). “Limitations to the use of effective stresses in partly saturated soils.” Géotechnique, 12(2), 125–144.
Khalili, N., Geiser, F., and Blight, G. (2004). “Effective stress in unsaturated soils: Review with new evidence.” Int. J. Geomech., 115–126.
Khalili, N., and Khabbaz, M. H. (1998). “A unique relationship for for the determination of the shear strength of unsaturated soils.” Géotechnique, 48(5), 681–687.
Lam, W., and Tatsuoka, F. (1988). “Effects of initial anisotropic fabric and SIGMA.2 on strength and deformation characteristics of sand.” Soils Found., 28(1), 89–106.
Leonards, G. (1962). “Discussion of Jennings and Burland ‘Limitations to the use of effective stress in partly saturated soils’.” Géotechnique, 12(4), 354–355.
Li, X., and Dafalias, Y. (2012). “Anisotropic critical state theory: Role of fabric.” J. Eng. Mech., 263–275.
Likos, W. J., Wayllace, A., Godt, J., and Lu, N. (2010). “Modified direct shear apparatus for unsaturated sands at low suction and stress.” Geotech. Test. J., 33(4), 1–13.
Loret, B., and Khalili, N. (2000). “A three-phase model for unsaturated soils.” Int. J. Numer. Anal. Methods Geomech., 24(11), 893–927.
Lu, N., and Likos, W. J. (2004). Unsaturated soil mechanics, Wiley, Hoboken, NJ.
Lu, N., and Likos, W. J. (2006). “Suction stress characteristic curve for unsaturated soil.” J. Geotech. Geoenviron. Eng., 131–142.
Maatouk, A., Leroueil, S., and La Rochelle, P. (1995). “Yielding and critical state of a collapsible unsaturated silty soil.” Géotechnique, 45(3), 465–477.
Masin, D., and Khalili, N. (2008). “A hypoplastic model for mechanical response of unsaturated soils.” Int. J. Numer. Anal. Methods Geomech., 32(15), 1903–1926.
Mitchell, J., and Soga, K. (2005). Fundamentals of soil behavior, 3rd Ed., Wiley, Hoboken, NJ.
Ng, C., and Menzies, B. (2007). Advanced unsaturated soil mechanics and engineering, Taylor & Francis, New York.
Nova, R (1982). “A constitutive model for soil under monotonic and cyclic loading.” Soil mechanics—Transient and cyclic loading, G. N. Pande and C. Zienkiewicz, eds., Wiley, Chichester, U.K., 343–373.
Nuth, M. (2009). “Constitutive modelling of unsaturated soils with hydro-geomechanical couplings.” Ph.D. thesis, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.
Oda, M. (1972). “The mechanism of fabric changes during compressional deformation of sand.” Soils Found., 12(2), 1–18.
Rampino, C., Mancuso, C., and Vinale, F. (2000). “Experimental behaviour and modelling of an unsaturated compacted soil.” Can. Geotech. J., 37(4), 748–763.
Robert, D. (2010). “Soil-pipeline interaction in unsaturated soils.” Ph.D. thesis, Univ. of Cambridge, Cambridge, U.K.
Roscoe, K. H. (1970). “The influence of strains in soil mechanics.” Géotechnique, 20(2), 129–170.
Roscoe, K. H., and Burland, J. B. (1968). “On the generalised stress-strain behaviour of ‘wet’ clay.” Engineering plasticity, J. Heyman and F. Leckie, eds., Cambridge University Press, Cambridge, U.K., 535–609.
Roscoe, K. H., and Schofield, A. (1963). “Mechanical behaviour of an idealised ‘wet clay’.” Proc., 2nd European Conf. on Soil Mechanics and Foundation Engineering, Wiesbaden, Germany, 47–54.
Roscoe, K. H., Schofield, A., and Wroth, C. P. (1958). “On the yielding of soils.” Géotechnique, 8(1), 22–53.
Russell, A. (2004). “Cavity expansion in unsaturated soils.” Ph.D. thesis, Univ. of New South Wales, Sydney, Australia.
Russell, A., and Khalili, N. (2006). “A unified bounding surface plasticity model for unsaturated soils.” Int. J. Numer. Anal. Methods Geomech., 30(3), 181–212.
Schnellmann, R., Rahardjo, H., and Schneider, H. R. (2013). “Unsaturated shear strength of a silty sand.” Eng. Geol., 162, 88–96.
Scholtès, L., Hicher, P.-Y., Nicot, F., Chareyre, B., and Darve, F. (2009). “On the capillary stress tensor in wet granular materials.” Int. J. Numer. Anal. Methods Geomech., 33(10), 1289–1313.
Stroud, M. (1971). “The behaviour of sand at low stress levels in the simple shear apparatus.” Ph.D. thesis, Univ. of Cambridge, Cambridge, U.K.
Tatsuoka, F. (1987). “Discussion: The strength and dilatancy of sands.” Géotechnique, 37(2), 219–226.
Taylor, D. (1948). Fundamentals of soil mechanics, Wiley, New York.
Toll, D. (1988). “The behaviour of unsaturated compacted naturally occuring gravel.” Ph.D. thesis, Univ. of London, London.
Toll, D. (1990). “A framework for unsaturated soil behaviour.” Géotechnique, 40(1), 31–44.
Toll, D., and Ong, B. (2003). “Critical-state parameters for an unsaturated residual sandy clay.” Géotechnique, 53(1), 93–103.
Vanapalli, S., Fredlund, D. G., Pufahl, D., and Clifton, A. (1996). “Model for the prediction of shear strength with respect to soil suction.” Can. Geotech. J., 33(3), 379–392.
van Genuchten, M. (1980). “A closed form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44(5), 892–898.
Verdugo, R., and Ishihara, K. (1996). “The steady state of sandy soils.” Soils Found., 36(2), 81–91.
Wheeler, S. J., and Sivakumar, V. (1995). “An elasto-plastic critical state framework for unsaturated soil.” Géotechnique, 45(1), 35–53.
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© 2016 American Society of Civil Engineers.
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Received: Nov 29, 2015
Accepted: Mar 22, 2016
Published online: Jun 13, 2016
Published in print: Nov 1, 2016
Discussion open until: Nov 13, 2016
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