Noncoaxial Behavior of Sand under Various Stress Paths
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 139, Issue 8
Abstract
In this paper, the results of three series of drained tests carried out on sands using hollow cylinder apparatus are presented. The noncoaxiality, defined as the difference between the major principal stress direction and the corresponding principal strain increment direction, is investigated. In the first series of tests, the sand was isotropically consolidated before being sheared with the fixed principal stress direction. In the other two series of tests, the sand specimens were isotropically consolidated and then sheared by rotating the major principal stress axes while the deviator stress level was either fixed (pure stress rotation) or increased continuously (combined shear loading). The experimental results provide clear evidence for material noncoaxiality when the rotation of principal stress direction is involved. The results from these series of tests show that the degree of noncoaxiality depends on the level of deviatoric stress and the stress increment direction. It tends to decrease when the specimen is approaching a failure state. It was also observed that the effect of soil density on noncoaxiality is more significant at lower shear stress levels. Test results on two different materials, Portaway sand and Leighton Buzzard sand, were also compared with the study of the influence of material anisotropy associated with sand particle characteristics. Numerical simulations of granular materials using the discrete element method (DEM) were conducted to understand the effect of the initial material anisotropy produced during sample preparation. The DEM results were consistent with those obtained from the hollow cylinder tests.
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References
Alonso-Marroquín, F., Luding, S., and Herrmann, H. J. (2005). “Role of anisotropy in the elastoplastic response of a polygonal packing.” Phys. Rev. E, 71(5), 051304.
Anand, L. (1983). “Plane deformations of ideal granular materials.” J. Mech. Phys. Solids, 31(2), 105–122.
Cai, Y. (2010). “An experimental study of non-coaxial soil behaviour using hollow cylinder testing.” Ph.D. thesis, Univ. of Nottingham, Nottingham, U.K.
Chu, J., Leong, W. K., Loke, W. L., and Wanatowski, D. (2012). “Instability of loose sand under drained conditions.” J. Geotech. Geoenviron. Eng., 138(2), 207–216.
Chu, J., and Wanatowski, D. (2009). “Effect of loading mode on strain softening and instability behavior of sand in plane-strain tests.” J. Geotech. Geoenviron. Eng., 135(1), 108–120.
Dakoulas, P., and Sun, Y. (1992). “Fine Ottawa sand. Experimental behavior and theoretical predictions.” J. Geotech. Engrg., 118(12), 1906–1923.
de Josselin de Jong, G. (1958). “The undefiniteness in kinematics for friction materials.” Proc., Int. Conf. on Earth Pressure, Vol. 1, Int. Society of Soil Mechanics and Foundation Engineering, Brussels, 55–70.
de Josselin de Jong, G. (1988). “Elasto-plastic version of the double sliding model in undrained simple shear test.” Geotechnique, 38(4), 533–555.
Drescher, A., and de Josselin de Jong, G. (1972). “Photoelastic verification of a mechanical model for the flow of a granular material.” J. Mech. Phys. Solids, 20(5), 337–340.
Gutierrez, M., and Ishihara, K. (2000). “Non-coaxiality and energy dissipation in granular materials.” Soils Found., 40(2), 49–59.
Gutierrez, M., Ishihara, K., and Towhata, I. (1991). “Flow theory for sand during rotation of principal stress direction.” Soils Found., 31(4), 121–132.
Hight, D. W., Gens, A., and Symes, M. J. (1983). “The development of a new hollow cylinder apparatus for investigating the effects of principal stress rotation in soils.” Geotechnique, 33(4), 355–383.
Iai, S., Matsunaga, Y., and Kameoka, T. (1992). “Strain space plasticity model for cyclic mobility.” Soils Found., 32(2), 1–15.
Ishihara, K., and Towhata, I. (1983). “Sand response to cyclic rotation of principal stress directions as induced by wave loads.” Soils Found., 23(4), 11–26.
Kolymbas, D. (1991). “An outline of hypoplasticity.” Arch. Appl. Mech., 61(3), 143–151.
Lade, P. V., Nam, Y., and Hong, W. P. (2009). “Interpretation of strains in torsion shear tests.” Comput. Geotech., 36(1–2), 211–225.
Li, X., and Yu, H.-S. (2009). “Influence of loading direction on the behavior of anisotropic granular materials.” Int. J. Eng. Sci., 47(11–12), 1284–1296.
Mandl, G., and Fernandez Luque, R. (1970). “Fully developed plastic shear flow of granular materials.” Geotechnique, 20(3), 277–307.
Miura, K., Miura, S., and Toki, S. (1986). “Deformation behaviour of anisotropic dense sand under principal stress axis rotation.” Soils Found., 26(1), 36–52.
Nova, R. (1994). “Controllability of the incremental response of soil specimens subjected to arbitrary loading programs.” J. Mech. Behav. Mater., 5(2), 193–201.
Nova, R. (2003). “The failure concept in soil mechanics revisited.” Bifurcations and instabilities in geomechanics, J. F. Labuz and A. Drescher, eds., Swets and Zeitlinger, Lisse, Netherlands, 3–16.
Oda, M., Koishikawa, I., and Higuchi, T. (1978). “Experimental study of anisotropic shear strength of sand by plane strain test.” Soils Found., 18(1), 24–38.
Pradel, D., Ishihara, K., and Gutierrez, M. (1990). “Yielding and flow of sand under principal stress rotation.” Soils Found., 30(1), 87–99.
Roscoe, K. H. (1970). “The influence of strains in soil mechanics.” Geotechnique, 20(2), 129–170.
Roscoe, K. H., Bassett, R. H., and Cole, E. R. L. (1967). “Principal axes observed during simple shear of a sand.” Proc., Geotechnical Conf. on Shear Strength Properties of Natural Soils and Rocks, Norwegian Geotechnical Society, Oslo, 231–237.
Saada, A. S. (1988). “Hollow cylinder torsional devices: Their advantages and limitations.” Advanced triaxial testing of soil and rock, ASTM STP 977, R. T. Donaghe, R. C. Chaney, and M. L. Silver, eds., ASTM, Philadelphia, 766–795.
Sayao, A., and Vaid, Y. P. (1991). “A critical assessment of stress nonuniformities in hollow cylinder test specimens.” Soils Found., 31(1), 60–72.
Spencer, A. J. M. (1964). “A theory of the kinematics of ideal soils under plane strain conditions.” J. Mech. Phys. Solids, 12(5), 337–351.
Symes, M. J., Gens, A., and Hight, D. W. (1984). “Undrained anisotropy and principal stress rotation in saturated sand.” Geotechnique, 34(1), 11–27.
Symes, M. J., Gens, A., and Hight, D. W. (1988). “Drained principal stress rotation in saturated sand.” Geotechnique, 38(1), 59–81.
Thornton, C., and Zhang, L. (2006). “A numerical examination of shear banding and simple shear non-coaxial flow rules.” Philos. Mag., 86(21–22), 3425–3452.
Wanatowski, D., and Chu, J. (2008). “Effect of specimen preparation method on the stress-strain behavior of sand in plane-strain compression tests.” Geotech Test. J., 31(4), 308–320.
Wang, Z. L., Dafalias, Y. F., and Shen, C. K. (1990). “Bounding surface hypoplasticity model for sand.” J. Eng. Mech., 116(5), 983–1001.
Wong, R. K. S., and Arthur, J. R. F. (1986). “Sand sheared by stresses with cyclic variation in direction.” Géotechnique, 36(2), 215–226.
Yang, Y., and Yu, H.-S. (2006). “Application of a non-coaxial soil model in shallow foundations.” Geomech. Geoeng., 1(2), 139–150.
Yu, H.-S. (2006). Plasticity and geotechnics, Springer, New York.
Yu, H.-S. (2008). “Non-coaxial theories of plasticity for granular materials.” Proc., 12th Int. Conf. of Int. Association of Computer Methods and Advances in Geomechanics (IACMAG), Indian Institute of Technology Bombay, Powai, Mumbai, India, 361–378.
Yu, H.-S., and Yuan, X. (2006). “On a class of non-coaxial plasticity models for granular soils.” Proc. R. Soc. London, Ser. A, 462(2067), 725–748.
Zdravkovic, L., and Jardine, R. J. (1997). “Some anisotropic stiffness characteristics of a silt under general stress conditions.” Geotechnique, 47(3), 407–437.
Zdravkovic, L., and Jardine, R. J. (2001). “The effect on anisotropy of rotating the principal stress axes during consolidation.” Geotechnique, 51(1), 69–83.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 139 • Issue 8 • August 2013
Pages: 1381 - 1395
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jan 15, 2012
Accepted: Oct 8, 2012
Published online: Oct 10, 2012
Published in print: Aug 1, 2013
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