A Constitutive Model Combining the Microscopic and Macroscopic Behaviour of Sands in Shear and Volumetric Deformation

  • B. Baharom
  • S. E. Stallebrass
Part of the International Centre for Mechanical Sciences book series (CISM, volume 397)


The paper describes how dissipation functions and yield surfaces derived by considering the microscopic mechanisms of particle deformation and particle rearrangement of sands (Chandler, 1985) can be combined with the volumetric constraints of the framework of Critical State Soil Mechanics (Schofield and Wroth, 1968) to give a model that provides a consistent link between the features of the shear deformation of sands at large strain and the volumetric state of the sand. The difficulties of relating microscopic parameters used to formulate yield surfaces and flow rules to conventional macroscopic critical state parameters are discussed. The potential of the approach is demonstrated by comparison with laboratory test results.


Constitutive Model Yield Surface Flow Rule State Boundary Surface Particle Breakage 
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  1. BEEN K & JEFFERIES M.G. (1985). A state parameter for sands. Geotechnique, 35:99–112.CrossRefGoogle Scholar
  2. CHANDLER H.W. (1985). A plasticity theory without Drucker’s postulate, suitable for granular materials. J. Mech. Phys. Solids, 33:215–216.CrossRefMATHGoogle Scholar
  3. CHANDLER H.W. (1990a). A model for the deformation and flow of granular materials undergoing monotonic shear loading. Geotechnique, 40: 379–388.CrossRefGoogle Scholar
  4. CHANDLER H.W. (1990b). Homogeneous and localised deformation in granular materials : A mechanistic model. Int. J. Engng. Sci., 28: 719–734CrossRefGoogle Scholar
  5. COOP M.R. (1990). The mechanics of uncemented carbonate sands. Geotechnique, 40: 607–626CrossRefGoogle Scholar
  6. COOP M.R. & LEE I.K. (1993). The behaviour of granular soils at elevated stresses. Predictive Soil Mechanics — Proc. Wroth Memorial Symposium, Oxford. Thomas Telford, London, 186–198.Google Scholar
  7. DAFALIAS Y.H. & HERMANN L.R. (1982). Bounding surface formulation of soil plasticity. Soil mechanics — Transient and cyclic loads (eds. G.N. Pande & O.C. Zienkiewicz). John Wiley and Sons Inc., London, 253–282.Google Scholar
  8. HARDIN B.O. (1985). Crushing of soil particles. J. Geotech. Engng. Div. Am. Soc. Civ. Engrs., 111: 1177–1192.CrossRefGoogle Scholar
  9. JEFFERIES M.G. (1993). Nor-Sand: A simple critical state model for sand. Geotechnique, 43: 91–103CrossRefGoogle Scholar
  10. LEE I.K. (1991) Mechanical behaviour of compacted decomposed granite soil. PhD Thesis, City UniversityGoogle Scholar
  11. MANZARI M.T. & DAFALIAS Y.F. (1997). A critical state two-surface plasticity model for sands. Geotechnique, 47: 255–272.CrossRefGoogle Scholar
  12. MCDOWELL G.R., BOLTON M.D. & ROBERTSON D. (1996). The fractal crushing of granular materials. J. Mech. Phys. Solids, 44:2079–2102.CrossRefGoogle Scholar
  13. MUIR WOOD D, BELKHEIR K. & LIU D.F. (1994). Strain softening and state parameter for sand modelling. Geotechnique, 44: 335–339.CrossRefGoogle Scholar
  14. PESTENA J.M. & WHITTLE A.J. (1995). Compression model for cohesionless soils. Geotechnique, 45:611–631.CrossRefGoogle Scholar
  15. SCHOFIELD A.N. & WROTH C.P. (1968). Critical State Soil Mechnaics. McGraw-Hill, London.Google Scholar
  16. YAMAMURO J.A., BOPP P.A. & LADE P.V. (1996). One-dimensional compression of sand at high pressures. J. Geotech. Engng. Div. Am. Soc. Civ. Engrs., 122: 147–154.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Wien 1998

Authors and Affiliations

  • B. Baharom
    • 1
  • S. E. Stallebrass
    • 1
  1. 1.City UniversityLondonUK

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