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Length Scales for Nonaffine Deformation in Localized, Granular Shear

  • Amy L. RechenmacherEmail author
  • Sara Abedi
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG, volume 11)

Abstract

We offer experimental observations of meso-scale deformation and kinematic activity within sheared granular layers to investigate the nature and spatial periodicity of nonaffine displacement fields within shear bands in a granular material. Prismatic specimens of sands and glass beads are subjected to plane strain deformation in which zero-strain conditions are enforced by translucent glass walls. We use the Digital Image Correlation (DIC) to track movements of small, overlapping particle clusters. By subtracting a superimposed first-order shear displacement field from the observed non-affine displacement fields, co-rotational vortices appear and coordinate with previously-observed kinematic patterns. We undertake a preliminary assessment of the spatial periodicity of such patterns to glimpse the nature of an underlying length scale for granular material deformation.

Keywords

Granular material Shear bands Non-affine deformation Vortices Length scales 

Notes

Acknowledgements

The authors would like to thank the National Science Foundation (grant CMMI-0748284), USC and the USC WiSE program for their financial support of this research.

References

  1. S. Abedi, A.L. Rechenmacher, I. Faoro, Vortex structures inside shear bands in sands, in Proceedings Geo-Frontiers 2011, Dallas, TX, 13–16 Mar 2011Google Scholar
  2. F. Alonso-Marroquin, I. Vardoulakis, H.J. Herrmann, D. Weatherley, P. Mora, Effect of rolling on dissipation in fault gouges. Phys. Rev. E 74, 031306 (2006)CrossRefGoogle Scholar
  3. H. Arslan, S. Sture, Evaluation of a physical length scale for granular materials. Comput. Mater. Sci. 42(3), 525–530 (2008)CrossRefGoogle Scholar
  4. O. Chupin, A. Rechenmacher, S. Abedi, Finite strain analysis of non-uniform deformations inside shear bands in sands. Int. J. Numer. Anal. Methods Geomech. (2011) [in press]Google Scholar
  5. M.R. Kuhn, Structures deformation in granular materials. Mech. Mater. 31(6), 407–429 (1999)CrossRefGoogle Scholar
  6. H.B. Muhlhaus, I. Vardoulakis, The thickness of shear bands in granular materials. Géotechnique 37(3), 271–283 (1987)CrossRefGoogle Scholar
  7. A.L. Rechenmacher, Grain-scale processes governing shear band initiation and evolution in sands. J. Mech. Phys. Solids 54, 22–45 (2006)CrossRefzbMATHGoogle Scholar
  8. A.L. Rechenmacher, R.J. Finno, Digital image correlation to evaluate shear banding in dilative sands. Geotech. Test. J. 27(1), 13–22 (2004)CrossRefGoogle Scholar
  9. A. Rechenmacher, S. Abedi, O. Chupin, Evolution of force chains in shear bands in sand. Geotechnique 60(5), 343–351 (2010)CrossRefGoogle Scholar
  10. A. Tordesillas, M. Muthuswamy, S.D.C. Walsh, Mesoscale measures of nonaffine deformation in dense granular assemblies. J. Eng. Mech. 134(12), 1095–1113 (2008)CrossRefGoogle Scholar
  11. B. Utter, R.P. Behringer, Experimental measures of affine and nonaffine deformation in granular shear. Phys. Rev. Lett. 100(20), 208302–1–4 (2008)Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringUniversity of Southern CaliforniaLos AngelesUSA

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