Acta Mechanica Solida Sinica

, Volume 25, Issue 2, pp 186–196 | Cite as

Comparison of Granular Material Behaviour Under Drained Triaxial and Plane Strain Conditions Using 3D DEM Simulations

  • Guobin Gong
  • Xiaoxiong Zha
  • Jun Wei


Three dimensional (3D) DEM (discrete element method) simulations of drained triaxial compression and plane strain tests are presented for both dense and loose assemblies of polydisperse spheres using a periodic cell. In the work reported, drained tests were modelled by deforming the samples under constant mean stress conditions. The drained behaviour is shown to be qualitatively similar to published physical experimental results. The Bishop’s formula for the estimation of the intermediate principal stress is evaluated. The existence of critical density is shown to be independent of initial packing densities and strain conditions. Different failure criteria have been compared based on the DEM simulation results, and the Lade criterion is found to be the most appropriate one. A new microscopic fabric parameter is introduced to give insight to structural anisotropy under general 3D fabric conditions. It is found that two parameters characterize the evolution of the stress and fabric respectively independent of strain conditions.

Key words

DEM simulations drained constant mean stress failure criteria fabric 


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  1. [1]
    Cundall, P.A., A computer model for simulating progressive large-scale movements in blocky rock systems. In: Proceedings of the Symposium of the International Society for Rock Mechanics, Nancy, 1971, 1: 132–150.Google Scholar
  2. [2]
    Cundall, P.A. and Strack, O.D.L., A discrete numerical model for granular assemblies. Geotechnique, 1979, 29(1): 47–65.CrossRefGoogle Scholar
  3. [3]
    Cundall, P.A., Computer simulations of dense sphere assemblies. Micromechanics of Granular Materials, Satake and Jenkins (eds), Amsterdam: Elsevier Science Publishers, 1988: 113–123.Google Scholar
  4. [4]
    Cundall, P.A., A discontinuous future for numerical modelling in geomechanics? Proceedings of the Institution of Civil Engineers, Geotechnical Engineering, 2001, 149(1): 41–47.CrossRefGoogle Scholar
  5. [5]
    Thornton, C. and Barnes, D.J., Computer simulated deformation of compact granular assemblies. Acta Mechanica, 1986, 64: 45–61CrossRefGoogle Scholar
  6. [6]
    Ng, T.T. and Dobry, R., Numerical simulations of monotonic and cyclic loading of granular soil. Journal of Geotechnical Engineering, ASCE, 1994, 120(2): 388–403.CrossRefGoogle Scholar
  7. [7]
    Thornton, C. and Sun, G., Axisymmetric compression of 3D polydisperse systems of spheres. Powders and Grains 93, Thornton (ed.), Rotterdam: Balkema, 1993: 129–134.Google Scholar
  8. [8]
    Thornton, C., Numerical simulations of deviatoric shear deformation of granular media. Geotechnique, 2000, 50(1): 43–53.CrossRefGoogle Scholar
  9. [9]
    Sitharam, T.G., Dinesh, S.V. and Shimizu, N., Microscopic modelling of monotonic drained and undrained shear behaviour of granular media using three-dimensional DEM. International Journal for Numerical and Analytical Methods in Geomechanics, 2002, 26: 1167–1189.CrossRefGoogle Scholar
  10. [10]
    Ng, T.T., Shear strength of assemblies of ellipsoidal particles. Geotechnique, 2004, 54(10): 659–669.CrossRefGoogle Scholar
  11. [11]
    Thornton, C. and Zhang, L., Probing of the mechanical response of granular material in general 3D stress space. Geomechanics and Geotechnics of Particulate Media, Hyodo, Murata and Nakate (eds.), Yamaguchi: Taylor & Francis, 2006: 199–204.Google Scholar
  12. [12]
    Mindlin, R.D. and Deresiewicz, H., Elastic spheres in contact under varying oblique forces. Journal of Applied Mechanics, 1953, 20: 327–344.MathSciNetzbMATHGoogle Scholar
  13. [13]
    Thornton, C. and Yin, K.K., Impact of elastic spheres with and without adhesion. Powder Technology, 1991, 65: 153–166.CrossRefGoogle Scholar
  14. [14]
    Thornton, C. Future developments in discrete element approaches. An introduction: Mechanics of Granular Materials, Oda and Iwashita (eds.), Rotterdam: Balkema, 1999: 217–219.Google Scholar
  15. [15]
    Thornton, C. and Randall, C.W., Applications of theoretical contact mechanics to solid particle system simulation. Micromechanics of Granular Materials, Satake and Jenkins (eds), Amsterdam: Elsevier Science Publishers, 1988: 133–142.Google Scholar
  16. [16]
    Gong, G., DEM Simulations of Drained and Undrained Behaviour. PhD thesis, University of Birmingham, UK, 2008.Google Scholar
  17. [17]
    Thornton, C. and Zhang, L., On the evolution of stress and microstructure during general 3D deviatoric straining of granular media. Geotechnique, 2010, 60(5): 333–341.CrossRefGoogle Scholar
  18. [18]
    Bishop, A.W., The strength of soils as engineering materials. Sixth Rankine Lecture. Geotechnique, 1966, 16(2): 91–130.CrossRefGoogle Scholar
  19. [19]
    Cornforth, D.H., Some experiments on the influence of strain conditions on the strength of sand. Geotechnique, 1964, 14(2): 143–167.MathSciNetCrossRefGoogle Scholar
  20. [20]
    Bolton, M.D., The strength and dilatancy of sands. Geotechnique, 1986, 36(1): 65–78.CrossRefGoogle Scholar
  21. [21]
    Schofield, M.A. and Wroth, C.P., Critical State Soil Mechanics, London: McGraw-Hill, 1968.Google Scholar
  22. [22]
    Muir Wood, D., Soil behaviour and critical state soil mechanics. Cambridge: Cambridge University Press, 1990.zbMATHGoogle Scholar
  23. [23]
    Roscoe, K.H., Schofield, A.N. and Wroth, C.P., On the Yielding of Soils. Geotechnique, 1958, 8(1): 22–53.CrossRefGoogle Scholar
  24. [24]
    Lade, P.V. and Duncan, J.M., Cubical triaxial tests on cohesionless soil. Journal of the Soil Mechanics and Foundations Division, ASCE, 1973, 99(SM10): 793–812.Google Scholar
  25. [25]
    Lade, P.V. and Duncan, J.M., Elastoplastic stress-strain theory for cohensionless soil. Journal of Geotechnical Engineering Division, ASCE, 1975, 101(GT10): 1037–1053.Google Scholar
  26. [26]
    Matsuoka, H. and Nakai, T., Stress-deformation relationship and strength characteristics of soil under three different principal stresses. Proceedings of the Japan Society of Civil Engineers, 1974, 232: 59–70.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2012

Authors and Affiliations

  1. 1.Civil and Environmental Engineering, Graduate School in ShenzhenHarbin Institute of TechnologyShenzhenChina
  2. 2.School of Civil EngineeringCentral Sourh UniversityChangshaChina

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