State-Dependent Strength of Sands from the Perspective of Unified Modeling
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 130, Issue 2
Abstract
This paper discusses the state-dependent strength of sands from the perspective of unified modeling in triaxial stress space. The modeling accounts for the dependence of dilatancy on the material internal state during the deformation history and thus has the capability of describing the behavior of a sand with different densities and stress levels in a unified way. Analyses are made for the Toyoura sand whose behavior has been well documented by laboratory tests and meanwhile comparisons with experimental observations on other sands are presented. It is shown that the influence of density and stress level on the strength of sands can be combined through the state-dependent dilatancy such that both the peak friction angle and maximum dilation angle are well correlated with a so-called state parameter. A unique, linear relationship is suggested between the peak friction angle and the maximum dilation angle for a wide range of densities and stress levels. The relationship, which is found to be in good agreement with recent experimental findings on a different sand, implies that the excess angle of shearing due to dilatancy in triaxial conditions is less than 40% of that in plane strain conditions. A careful identification of the deficiency of the classical Rowe’s and Cam-clay’s stress–dilatancy relations reveals that the unique relationship between the stress ratio and dilatancy assumed in both relations does not exist and thereby obstructs unified modeling of the sand behavior over a full range of densities and stress levels.
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References
Been, K., and Jefferies, M. G.(1985). “A state parameter for sands.” Geotechnique, 35(2), 99–112.
Been, K., and Jefferies, M. G.(1986). “A state parameter for sands: reply to discussion.” Geotechnique, 36(1), 123–132.
Been, K., Jefferies, M. G., and Hachey, J. E.(1992). “The critical state of sands: reply to discussion.” Geotechnique, 42(4), 655–663.
Bishop, A. W. (1971). “Shear strength parameters for undisturbed and remolded soil specimens.” Proc., Roscoe Memorial Symp., Cambridge Mass., 3–58.
Bolton, M. D.(1986). “The strength and dilatancy of sands.” Geotechnique, 36(1), 65–78.
Cornforth, D. H.(1964). “Some experiments on the influence of strain conditions on the strength of sand.” Geotechnique, 14, 143–167.
Cornforth, D. H. (1973). “Prediction of drained strength of sand from relative density measurements.” Evaluation of relative density and its role in geotechnical projects involving cohesionless soils, American Society for Testing and Materials, Philadelphia Special Technical Publication 523, 281–303.
De Beer, E. E. (1965). “Influence of the mean normal stress on the shearing strength of sand.” Proc., 6th Int. Conf. Soil Mechanics Foundation Engineering, Montreal, Vol. 1, 165–169.
Gajo, A., and Wood, D. M.(1999). “Severn-Trent sand: a kinematic-hardening constitutive model: the q-p formulation.” Geotechnique, 49(5), 595–614.
Gudehus, G.(1996). “A comprehensive constitute equation for granular materials.” Soils Found., 36(1), 1–12.
Jefferies, M. G.(1993). “Nor-sand: a simple critical state model for sand.” Geotechnique, 43(1), 91–103.
Lee, K. L., and Seed, H. B.(1967). “Drained strength characteristics of sands.” J. Soil Mech. Found. Div., ASCE, 93, 117–141.
Li, X. S.(2002). “A sand model with state-dependent dilatancy.” Geotechnique, 52(3), 173–186.
Li, X. S., and Dafalias, Y. F.(2000). “Dilatancy for cohesionless soils.” Geotechnique, 50(4), 449–460.
Manzari, M. T., and Dafalias, Y. F.(1997). “A critical state two-surface plasticity model for sands.” Geotechnique, 47(2), 255–272.
Nova, R., and Wood, D. M.(1979). “A constitutive model for sand in triaxial compression.” Int. J. Numer. Analyt. Meth. Geomech., 3, 255–278.
Pastor, M., Zienkiewicz, O. C., and Chan, H. C.(1990). “Generalized plasticity and the modeling of soil behavior.” Int. J. Numer. Analyt. Meth. Geomech., 14, 151–190.
Poorooshasb, H. B., Holubec, I., and Sherbourne, A. N.(1966). “Yielding and flow of sand in triaxial compression, Part I.” Can. Geotech. J., 3(5), 179–190.
Poorooshasb, H. B., Holubec, I., and Sherbourne, A. N.(1967). “Yielding and flow of sand in triaxial compression, Part II.” Can. Geotech. J., 4(5), 376–397.
Roscoe, K. H., Schofield, A. N., and Wroth, C. P.(1958). “On the yielding of soils.” Geotechnique, 8(1), 22–53.
Rowe, P. W.(1962). “The stress-dilatancy relation for static equilibrium of an assembly of particles in contact.” Proc. R. Soc. London, Ser. A, 269, 500–527.
Schofield, A. N., and Wroth, C. P. (1968). Critical state soil mechanics, McGraw–Hill, London.
Stroud, M. A. (1971). “The behavior of sand at low stress levels in the simple shear apparatus.” PhD thesis, Cambridge Univ., Cambridge.
Vaid, Y. P., and Sasitharan, S.(1992). “The strength and dilatancy of sand.” Can. Geotech. J., 29, 552–526.
Verdugo, R., and Ishihara, K.(1996). “The steady state of sandy soils.” Soils Found., 36(2), 81–91.
Wan, R. G., and Guo, R. G.(1999). “A pressure and density dependent dilatancy model for granular materials.” Soils Found., 39(6), 1–12.
Wood, D. M. (1990). Soil behaviour and critical state soil mechanics, Cambridge University Press, London.
Wood, D. M., Belkheir, K., and Liu, D. F.(1994). “Strain softening and state parameter for sand modeling.” Geotechnique, 44(2), 335–339.
Yoshimine, M., Ishihara, K., and Vargas, W.(1998). “Effects of principle stress direction and intermediate principal stress on undrained shear behavior of sand.” Soils Found., 38(3), 179–188.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 130 • Issue 2 • February 2004
Pages: 186 - 198
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Apr 4, 2002
Accepted: Jun 9, 2003
Published online: Jan 16, 2004
Published in print: Feb 2004
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