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

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Application of Numerical Methods to Geotechnical Problems

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 397))

Abstract

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.

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References

  • BEEN K & JEFFERIES M.G. (1985). A state parameter for sands. Geotechnique, 35:99–112.

    Article  Google Scholar 

  • CHANDLER H.W. (1985). A plasticity theory without Drucker’s postulate, suitable for granular materials. J. Mech. Phys. Solids, 33:215–216.

    Article  MATH  Google Scholar 

  • CHANDLER H.W. (1990a). A model for the deformation and flow of granular materials undergoing monotonic shear loading. Geotechnique, 40: 379–388.

    Article  Google Scholar 

  • CHANDLER H.W. (1990b). Homogeneous and localised deformation in granular materials : A mechanistic model. Int. J. Engng. Sci., 28: 719–734

    Article  Google Scholar 

  • COOP M.R. (1990). The mechanics of uncemented carbonate sands. Geotechnique, 40: 607–626

    Article  Google Scholar 

  • 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 

  • 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 

  • HARDIN B.O. (1985). Crushing of soil particles. J. Geotech. Engng. Div. Am. Soc. Civ. Engrs., 111: 1177–1192.

    Article  Google Scholar 

  • JEFFERIES M.G. (1993). Nor-Sand: A simple critical state model for sand. Geotechnique, 43: 91–103

    Article  Google Scholar 

  • LEE I.K. (1991) Mechanical behaviour of compacted decomposed granite soil. PhD Thesis, City University

    Google Scholar 

  • MANZARI M.T. & DAFALIAS Y.F. (1997). A critical state two-surface plasticity model for sands. Geotechnique, 47: 255–272.

    Article  Google Scholar 

  • MCDOWELL G.R., BOLTON M.D. & ROBERTSON D. (1996). The fractal crushing of granular materials. J. Mech. Phys. Solids, 44:2079–2102.

    Article  Google Scholar 

  • MUIR WOOD D, BELKHEIR K. & LIU D.F. (1994). Strain softening and state parameter for sand modelling. Geotechnique, 44: 335–339.

    Article  Google Scholar 

  • PESTENA J.M. & WHITTLE A.J. (1995). Compression model for cohesionless soils. Geotechnique, 45:611–631.

    Article  Google Scholar 

  • SCHOFIELD A.N. & WROTH C.P. (1968). Critical State Soil Mechnaics. McGraw-Hill, London.

    Google Scholar 

  • 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.

    Article  Google Scholar 

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© 1998 Springer-Verlag Wien

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Baharom, B., Stallebrass, S.E. (1998). A Constitutive Model Combining the Microscopic and Macroscopic Behaviour of Sands in Shear and Volumetric Deformation. In: Cividini, A. (eds) Application of Numerical Methods to Geotechnical Problems. International Centre for Mechanical Sciences, vol 397. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2512-0_25

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  • DOI: https://doi.org/10.1007/978-3-7091-2512-0_25

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83141-0

  • Online ISBN: 978-3-7091-2512-0

  • eBook Packages: Springer Book Archive

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