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The Effect of Rotational Degrees of Freedom on the Formation of Deformation Patterns in Granular Materials Using Digital Image Correlation

  • Maxim EsinEmail author
  • Arcady V. Dyskin
  • Elena Pasternak
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)

Abstract

The shear band formation and evolution is a predominant mechanism of deformation patterning in granular materials. Independent rotations of separate particles can affect the pattern formation by adding the effect of rotational degrees of freedom to the mechanism of instability. Measurement of independent grain rotations is technically challenging. We use a special experimental technique based on digital image correlation in order to recover both displacement and independent rotation fields in 2D physical models of granular material. In the model the particles are represented by smooth steel disks with speckles painted on them to enable the rotation reconstruction. Both mono- and polydispersed particle assemblies are used. We show that the average values of the angles of disk rotations are insignificantly different from zero. It means that the rotations are microscopic (at the scale of the grain size) and do not proliferate to the macroscopic scale. However the particle rotations exhibit mesoscopic clustering: monodispersed assemblies produce vertical columns of particles rotating the same direction; polydispersed assemblies 2D form clusters of particles with alternating rotations.

Keywords

Shear Band Rotation Angle Granular Material Digital Image Correlation Disk Rotation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgment

The work has been supported by the Deep Exploration Technologies Cooperative Research Centre whose activities are funded by the Australian Government’s Cooperative Research Centre Programme. This is DET CRC Document 2014/351.

References

  1. Andrade JE, Avilaa CF, Hall SA, Lenoir N, Viggiani G (2010) From grain kinematics to continuum mechanics. J Mech Phys Solids 59(2):237–250CrossRefGoogle Scholar
  2. Gudehus G, Nubel K (2004) Evolution of shear bands in sand. Géotechnique 54(3):187–201CrossRefGoogle Scholar
  3. Hall SA, Wood DM, Ibraim E, Viggiani G (2010) Localised deformation patterning in 2D granular materials revealed by digital image correlation. Granular Matter 12(1):1–14CrossRefGoogle Scholar
  4. Jaeger HM, Nagel SR, Behringer RP (1996) The physics of granular materials. Phys Today 49(4):32–38CrossRefGoogle Scholar
  5. Rechenmacher A, Abedi S, Chupin O (2010) Evolution of force chains in shear bands in sands. Géotechnique 60(5):343–351CrossRefGoogle Scholar
  6. Tamura T, Yamada Y (1996) A rigid-plastic analysis of granular materials. Soils Found 36(3):113−121CrossRefGoogle Scholar
  7. Tordesillas A, Muthuswamy M, Walsh SDC (2008) Mesoscale measures of nonaffine deformation in dense granular assemblies. J Eng Mech 134(12):1095–1113CrossRefGoogle Scholar
  8. Tordesillas A, Walker DM, Froyland G, Zhang J, Behringer RP (2012) Transition dynamics and magic-number-like behavior of frictional granular clusters. Phys Rev E 86:011306CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Maxim Esin
    • 1
    Email author
  • Arcady V. Dyskin
    • 2
  • Elena Pasternak
    • 1
  1. 1.Deep Exploration Technologies Cooperative Research Centre, School of Mechanical and Chemical EngineeringUniversity of Western AustraliaPerthAustralia
  2. 2.Deep Exploration Technologies Cooperative Research Centre, School of Civil, Environmental and Mining EngineeringUniversity of Western AustraliaPerthAustralia

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