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Original Articles

Constitutive model for cyclic behaviour of cohesionless sands

, &
Pages 36-47 | Received 20 Jun 2014, Accepted 16 Feb 2016, Published online: 17 Mar 2016

References

  • Al-Tabbaa, A., 1987. Permeability and stress-strain response of speswhite kaolin. Thesis (PhD). The University of Cambridge.
  • Araujo, M.C., 2002. Non-linear kinematic hardening model for multiaxial cyclic plasticity. Thesis (M.Sc). Louisiana State University, Louisiana, USA.
  • Armstrong, P.J. and Frederick, C.O., 1966. A mathematical representation of the multiaxial Bauschinger effect, CEGB Report, RD/B/N731, UK: Berkeley Nuclear Laboratories.
  • Bardet, J.P., 1986. Bounding surface plasticity model for sands. Journal of Engineering Mechanics, 112 (11), 1198–1217. doi:10.1061/(ASCE)0733-9399(1986)112:11(1198)
  • Been, K. and Jefferies, M.G., 1985. A state parameter for sands. Géotechnique, 35 (2), 99–112. doi:10.1680/geot.1985.35.2.99
  • Chen, W.F., 1994. Constitutive equations for engineering materials. Amsterdam: Elsevier.
  • Chen, W.F. and Han, D.J., 2007. Plasticity for structural engineers. New York: John Ross Publishing.
  • Crouch, R.S., Wolf, J.P., and Dafalias, Y.F., 1994. Unified critical-state bounding-surface plasticity model for soils. Journal of Engineering Mechanics, 120 (11), 2251–2270. doi:10.1061/(ASCE)0733-9399(1994)120:11(2251)
  • Dafalias, Y.F., 1986. Bounding surface plasticity. I: mathematical foundation and hypoplasticity. Journal of Engineering Mechanics, 112 (9), 966–987. doi:10.1061/(ASCE)0733-9399(1986)112:9(966)
  • Dafalias, Y.F. and Herrmann, L.R., 1982. Bounding surface formulation of soil plasticity, soil mechanics-transient and cyclic loads. New York: Wiley, 253–282.
  • Dafalias, Y.F. and Popov, E.P., 1975. A model of nonlinearly hardening materials for complex loading. Acta Mechanica, 21, 173–192. doi:10.1007/BF01181053
  • Dafalias, Y.F. and Popov, E.P., 1977. Cyclic loading for materials with a vanishing elastic region. Nuclear Engineering and Design, 41, 293–302. doi:10.1016/0029-5493(77)90117-0
  • Dunne, F. and Petrinic, N., 2006. Introduction to computational plasticity. Oxford: Oxford University Press.
  • Elgamal, A., et al., 2003. Modeling of cyclic mobility in saturated cohesionless soils. International Journal of Plasticity, 19, 883–905. doi:10.1016/S0749-6419(02)00010-4
  • Habte, M.A., 2006. Numerical and constitutive modelling of monotonic and cyclic loading in variably saturated soils. Thesis (PhD). The University of New South Wales.
  • Imam, M.R., 1999. Modeling the constitutive behavior of sand for the analysis of static liquefaction. Thesis (PhD). The University of Alberta.
  • Imam, M.R. and Chan, D.H., 2008. Application of a critical state model for the cyclic loading of sands. Edmonton, Canada: GeoEdmonton, 127–134.
  • Imam, M.R., et al., 2002. Yielding and flow liquefaction of loose sand. Soils Sand Foundations, 42 (3), 19–31. doi:10.3208/sandf.42.3_19
  • Imam, M.R., et al., 2005. A critical-state constitutive model for liquefiable sand. Canadian Geotechnical Journal, 42 (3), 830–855. doi:10.1139/t05-014
  • Ishihara, K., 1993. Liquefaction and flow failure during earthquakes. Géotechnique, 43 (3), 351–451. doi:10.1680/geot.1993.43.3.351
  • Ishihara, K., Tatsuoka, F., and Yasuda, S., 1975. Undrained deformation and liquefaction of sand under cyclic stresses. Soils and Foundation, 15 (1), 29–44. doi:10.3208/sandf1972.15.29
  • Iwan, W.D., 1967. On a class of models for the yielding behavior of continuous and composite systems. Journal of Applied Mechanics, 34, 612–617. doi:10.1115/1.3607751
  • Jefferies, M.G., 1993. Nor-sand: a simle critical state model for sand. Géotechnique, 43 (1), 91–103. doi:10.1680/geot.1993.43.1.91
  • Kan, M.E., Taiebat, H.A., and Khalili, N., 2014. Simplified mapping rule for bounding surface simulation of complex loading paths in granular materials. International Journal of Geomechanics, 14 (2), 239–253. doi:10.1061/(ASCE)GM.1943-5622.0000307
  • Khalili, N., Habte, M.A., and Valliappan, S., 2005. A bounding surface plasticity model for cyclic loading of granular soils. International Journal For Numerical Methods In Engineering, 63, 1939–1960. doi:10.1002/(ISSN)1097-0207
  • Khong, C.D., 2004. Development and numerical evaluation of unified critical state models. Thesis (PhD). The University of Nottingham.
  • Krieg, R.D., 1975. A practical two-surface plasticity theory. Journal of Applied Mechanics, 42 (3), 641–646. doi:10.1115/1.3423656
  • Lenart, S., 2008. The response of saturated soils to a dynamic load. Acta Geotechnica Slovenica, 5 (1), 37–49.
  • Li, X.S. and Ming, H.Y., 2000. Unified modeling of flow liquefaction and cyclic mobility. Soil Dynamics and Earthquake Engineering, 19, 363–369. doi:10.1016/S0267-7261(00)00022-1
  • Ling, H.I. and Yang, Y., 2006. Unified sand model based on the critical state and generalized plasticity. Journal of Engineering Mechanics, 132 (12), 1380–1391. doi:10.1061/(ASCE)0733-9399(2006)132:12(1380)
  • Ling, H.I., et al., 2002. Anisotropic elastoplastic bounding surface model for cohesive soils. Journal of Engineering Mechanics, 128 (7), 748–758. doi:10.1061/(ASCE)0733-9399(2002)128:7(748)
  • Manzari, M.T. and Dafalias, Y.F., 1997. A critical state two-surface plasticity model for sands. Géotechnique, 47 (2), 255–272. doi:10.1680/geot.1997.47.2.255
  • McDowell, G.R. and Hau, K.W., 2004. A generalised modified Cam clay model for clay and sand incorporating kinematic hardening and bounding surface plasticity. Granular Matter, UK: Springer-Verlag, 11–16.
  • Mroz, Z., 1967. On the description of anisotropic hardening. Journal of the Mechanics and Physics of Solids, 15, 163–175. doi:10.1016/0022-5096(67)90030-0
  • Mroz, Z., Norris, V.A., and Zienkiewicz, O.C., 1979. Application of an anisotropic hardening model in the analysis of elasto-plastic deformation of soils. Geotechnique, 29 (1), 1–34. doi:10.1680/geot.1979.29.1.1
  • Orense, R. and Pender, M., 2012. Liquefaction characteristics of pumice sands, EQC project 10/589. New Zealand: The University of Auckland.
  • Pastor, M., Zienkiewicz, O.C., and Leung, K.K., 1985. Simple model for transient soil loading in models for sands earthquake analysis. II. Non-associated models for sands. International Journal for Numerical and Analytical Methods in Geomechanics, 9, 477–498. doi:10.1002/nag.1610090506
  • Pradhan, T.B.S., Tatsuoka, F., and Sato, Y., 1989. Experimental stress-dilatancy relations of sand subjected to cyclic loading. Soild and Foundations, 29, 45–64. doi:10.3208/sandf1972.29.45
  • Querol, S.L. and Blázquez, R., 2006. Liquefaction and cyclic mobility model for saturated granular media. International Journal for Numerical and Analytical Methods in Geomechanics, 30, 413–439. doi:10.1002/(ISSN)1096-9853
  • Reilly, M.P.O. and Brown, S.F., 1991. Cyclic loading of soils: from theory to design. Glasgow: Blackie and son limited.
  • Russel, A. and Khalili, N., 2004. A bounding surface plasticity model for sands exhibiting particle crushing. Canadian Geotechnical Journal, 41 (6), 1179–1192. doi:10.1139/t04-065
  • Stallebrass, S.E., 1990. Modeling the effect of recent stress history on the deformation of overconsolidated soils. Thesis (PhD). The City University, London, UK.
  • Suebsuk, J., Horpibulsuk, S., and Liu, M.D., 2011. A critical state model for overconsolidated structured clays. Computers and Geotechnics, 38 (5), 648–658. doi:10.1016/j.compgeo.2011.03.010
  • Tatsuoka, F. and Ishihara, K., 1974. Drained deformation of sand under cyclic stresses reversing direction. Soils and Foundations, 14 (3), 51–65. doi:10.3208/sandf1972.14.3_51
  • Vermeer, P.A. and De Borst, R., 1984. Non-associated plasticity for soils, concrete and rocks. Heron, 29 (3), 1–64.
  • Wood, D.M., 1990. Soil behavior and critical state soil mechanics. Cambridge: Cambridge University Press.
  • Yang, C., et al., 2008. A constitutive model for unsaturated cemented soils under cyclic loading. Computers and Geotechnics, 35, 853–859. doi:10.1016/j.compgeo.2008.08.005
  • Yang, C., Huang, M.S., and Cui, Y.J., 2011. Constitutive model of unsaturated structured soils under cyclic loading. London: Taylor & Francis group, 987–992.
  • Yu, H.S., 2006. Plasticity and geotechnics. New York: Springer.
  • Yu, H.S., Khong, C., and Wang, J., 2007. A unified plasticity model for cyclic behaviour of clay and sand. Mechanics Research Communications, 34 (2), 97–114. doi:10.1016/j.mechrescom.2006.06.010
  • Zienkiewicz, O.C., Leung, K.H., and Pastor, M., 1985. Simple model for transient soil loading in earthquake analysis. I. basic model and its application. International Journal for Numerical and Analytical Methods in Geomechanics, 9, 453–476. doi:10.1002/(ISSN)1096-9853

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