Interaction and multiscale mechanics

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Analysis of post-failure response of sands using a critical state micropolar plasticity model

  • Manzari, Majid T. (Civil and Environmental Engineering Department, The George Washington University) ;
  • Yonten, Karma (Civil and Environmental Engineering Department, The George Washington University)
  • Received : 2010.12.01
  • Accepted : 2011.04.07
  • Published : 2011.09.25
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Abstract

Accurate estimations of pre-failure deformations and post-failure responses of geostructures require that the simulation tool possesses at least three main ingredients: 1) a constitutive model that is able to describe the macroscopic stress-strain-strength behavior of soils subjected to complex stress/strain paths over a wide range of confining pressures and densities, 2) an embedded length scale that accounts for the intricate physical phenomena that occur at the grain size scale in the soil, and 3) a computational platform that allows the analysis to be carried out beyond the development of an initially "contained" failure zone in the soil. In this paper, a two-scale micropolar plasticity model will be used to incorporate all these ingredients. The model is implemented in a finite element platform that is based on the mechanics of micropolar continua. Appropriate finite elements are developed to couple displacement, micro-rotations, and pore-water pressure in form of $u_n-{\phi}_m$ and $u_n-p_m-{\phi}_m$ (n > m) elements for analysis of dry and saturated soils. Performance of the model is assessed in a biaxial compression test on a slightly heterogeneous specimen of sand. The role of micropolar component of the model on capturing the post-failure response of the soil is demonstrated.

Keywords

References

  1. Alsaleh, M., Voyiadjis, G.Z. and Alshibli, K.A. (2006), "Modelling strain localization in granular materials using micropolar theory: mathematical formulations", Int. J. Numer. Anal. Meth. Geomech., 30(15), 1501-1524. https://doi.org/10.1002/nag.533
  2. Alsaleh, M., Kitsabunnarat, A. and Helwany, S. (2009), "Strain localization and failure load predictions of geosynthetic reinforced soil structures", Interact. Multiscale Mech., 2(3), 235-261. https://doi.org/10.12989/imm.2009.2.3.235
  3. Alshibli, K.A., Alsaleh, M. and Voyiadjis, G.Z. (2006), "Modelling strain localization in granular materials using micropolar theory: numerical implementation and verification", Int. J. Numer. Anal. Meth. Geomech., 30(15), 1525-1544. https://doi.org/10.1002/nag.534
  4. Alshibli, K.A. and Sture, S. (2000), "Shear band formation in plane strain experiments of sand", J. Geotech. Geoenv. Eng., 126(6), 495-503. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:6(495)
  5. Dafalias, Y.F. and Manzari, M.T. (2004), "A simple plasticity sand model accounting for fabric change effects", J. Eng. Mech. - ASCE, 130(6), 622-634. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:6(622)
  6. Forest, S. (2001), Cosserat media, in encyclopedia of materials: science and technology, Elsevier Sciences Ltd., 1715-1718.
  7. Hibbitt, Karlsson & Sorensen Inc (HKS) (2010), ABAQUS/Standard user subroutine reference manual, version 6.10, HKS, Providence, R.I. 2010.
  8. Huang, W. and Bauer, E. (2003), "Numerical investigations of shear localization in a micro-polar hypoplastic material", Int. J. Numer. Anal. Meth. Geomech., 27, 325-352 https://doi.org/10.1002/nag.275
  9. Lade, P.V. and Kim, M.K. (1998). "Single hardening plasticity model for frictional materials", Comput. Geotech., 6, 13-29.
  10. Manzari, M.T. and Dafalias, Y.F. (1997), "A critical state two-surface plasticity model for sands", Geotechnique, 47(2), 255-272. https://doi.org/10.1680/geot.1997.47.2.255
  11. Manzari, M.T. (2004), "Application of micropolar plasticity to post failure analysis in Geomechanics," Int. J. Numer. Anal. Meth. Geomech., 28(10), 1011-1032. https://doi.org/10.1002/nag.356
  12. Manzari, M.T. and Dafalias, Y.F. (2005), "A critical state two-surface micropolar plasticity model for sands", Proceedings of 11th International Conference on Fracture, Turin, Italy, March, 2005.
  13. Nowacki, W. (1986), Theory of asymmetric elasticity, Pergamon Press, New York.
  14. Vardoulakis, I. and Sulem, J. (1995), Bifurcation analysis in geomechanics, Blackie Academic and Professional, Chapman and Hall, Glasgow.
  15. Viggiani, G., Besuelle, P., Hall, S. and Desrues, J. (2010), "Sand deformation at the grain scale quantified through x-ray imaging", Proceedings of 3rd International Workshop on X-Ray CT for Geomaterials, GeoX 2010, ISTE Pub., New-Orleans, USA, March 1-3, 2010.
  16. Yonten, K. and Manzari, M.T. (2010), "On micropolar finite element analysis using a two-scale constitutive model", Proceedings of 16th US National Congress of Theoretical and Applied Mechanics, Pennsylvania, USA, June 27-July 2, 2010.

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