Investigation of monotonic and cyclic behavior of sand using a bounding surface plasticity model

  • Ali Zahmatkesh
  • Reza Noorzad
Original Paper


Developing the pore water pressures in loose to medium sands below the water table may lead to liquefaction during earthquakes. The simulation of liquefaction (cyclic mobility and flow liquefaction) in sandy soils is one of the major challenges in constitutive modeling of soils. This paper presents the simulation of sand behavior using a critical state bounding surface plasticity model (Dafalias and Manzari’s model, 2004) during monotonic and cyclic loading. The drained, undrained, and cyclic triaxial tests were simulated using Dafalias and Manzari’s model. The simulation results showed that the model predicts behavior of sand, reasonably well. Also, for CSR < 0.2, number of cycles for liquefaction is significantly increased. The residual strength of Babolsar sand is produced when it is deformed to an axial strain of 20 to 25%.


Liquefaction Dafalias and Manzari’s model Monotonic Cyclic loading 


  1. Been K, Jefferies MG (1985) A state parameter for sands. Geotechnique 35(2):99–112. CrossRefGoogle Scholar
  2. Castro G, Poulos SJ (1977) Factors affecting liquefaction and cyclic mobility. J Geotech Eng Div 103(6):501–516Google Scholar
  3. Cheng Z, Jeremic B (2009) Numerical modeling and simulation of pile in liquefiable soil. Soil Dyn Earthq Eng 29(11-12):1405–1416. CrossRefGoogle Scholar
  4. Choobbasti AJ, Zahmatkesh A (2016) Computation of degradation factors of p-y curves in liquefiable soils for analysis of piles using three-dimensional finite-element model. Soil Dyn Earthq Eng 89:61–74. CrossRefGoogle Scholar
  5. Dafalias YF (1986) Bounding surface plasticity: I. Mathematical foundation and hypo-plasticity. J Eng Mech 112(9):966–987. CrossRefGoogle Scholar
  6. Dafalias, YF, Herrmann LR (1982) Bounding surface formulation of soil plasticity. In: Pande, G.N., Zienkiewicz, D.C. (Eds.), Soil mechanics—transient and cyclic loads. Wiley, New York, 253–282Google Scholar
  7. Dafalias YF, Manzari MT (2004) Simple plasticity sand model accounting for fabric change effects. J Eng Mech 130(6):622–634. CrossRefGoogle Scholar
  8. Elgamal A, Yang Z, Parra E, Ragheb A (2003) Modeling of cyclic mobility in saturated cohesionless soils. Int J Plast 196:883–905CrossRefGoogle Scholar
  9. Ghaboussi J, Momen H (1984) Plasticity model for inherently anisotropic behaviour of sands. Mech Cohesive Frict Soils 8(1):1–17Google Scholar
  10. Ishihara K (1993) Liquefaction and flow failure during earthquakes. Géotechnique 43(3):351–415CrossRefGoogle Scholar
  11. Janalizadeh A, Zahmatkesh A (2015) Lateral response of pile foundations in liquefiable soils, J Rock Mech Geotech Eng 1–8.Google Scholar
  12. Jefferies M (1993) NOR-Sand: a simple critical state model for sand. Geotechnique 43(1):91–103CrossRefGoogle Scholar
  13. Kramer SL (1996) Geotechnical earthquake engineering. Prentice Hall Inc., New Jersey, p 653Google Scholar
  14. Lacy SJ, Prevost JH (1987) Constitutive model for geomaterials. Proceedings of Second International Conference on Constitutive Laws for Engineering Materials, Tucson, Arizona, pp 1–12Google Scholar
  15. Ling HI, Yue D, Kaliakin V, Themelis NJ (2002) Anisotropic elastoplastic bounding surface model for cohesive soils. J. Geotech. Geoenviron. Eng 128(7):748–758Google Scholar
  16. Pastor M, Zienkiewicz OC, Leung KH (1985) Simple model for transient soil loading in earthquake analysis, III: Non-associative models for sands. Int J Numer Analytical Methods in Geomech 9:477–498CrossRefGoogle Scholar
  17. Poorooshasb HB, Pietruszczak S (1985) On the yielding and flow of sand. A generalized two-surface model. Comp Geotech 1:33–58CrossRefGoogle Scholar
  18. Prevost JH (1985) A simple plasticity model for frictional cohesionless soils. Soil Dyn Earthquake Eng 4(1):9–17CrossRefGoogle Scholar
  19. Rahmani A, Pak A (2012) Dynamic behavior of pile foundations under cyclic loading in liquefiable soils. Comput Geotech 40:114–126CrossRefGoogle Scholar
  20. Roscoe KH, Burland JB (1968) On the generalized stress-strain behavior of wet clay. Engineering Plasticity, 535–609.Google Scholar
  21. Schofield AN, Wroth CP (1968) Critical state soil mechanics. McGraw–Hill, New YorkGoogle Scholar
  22. Shahir H, Pak A, Taiebat M, Jeremic B (2012) Evaluation of variation of permeability in liquefiable soil under earthquake loading. Comp Geotech 40:74–88CrossRefGoogle Scholar
  23. Taiebat M, Dafalias YF (2008) SANISAND: Simple anisotropic sand plasticity model. Int J Numer Anal Methods Geomech 32(8):915–948CrossRefGoogle Scholar
  24. Taiebat M, Jeremic B, Dafalias YF, Kaynia AM, Cheng Z (2010) Propagation of seismic waves through liquefied soils. Soil Dyn Earthquake Eng 30(4):236–257CrossRefGoogle Scholar
  25. Wang G, Xie Y (2014) Modified bounding surface hypoplasticity model for sands under cyclic loading. J Eng Mech 140(1):91–104CrossRefGoogle Scholar
  26. Wang ZL, Dafalias YF, Shen CK (1990) Bounding surface hypoplasticity model for sand. J Eng Mech 116(5):983–1001CrossRefGoogle Scholar
  27. Zahmatkesh A, Choobbasti AJ (2016) Calibration of an advanced constitutive model for Babolsar sand accompanied by liquefaction analysis, J Earthquake Eng.

Copyright information

© Saudi Society for Geosciences 2018

Authors and Affiliations

  1. 1.Department of Civil Engineering, Ferdows BranchIslamic Azad UniversityFerdowsIran
  2. 2.Department of Civil EngineeringBabol Noshirvani University of TechnologyBabolIran

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