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Micromechanical Analysis of Second Order Work in Granular Media

  • F. NicotEmail author
  • N. Hadda
  • F. Bourrier
  • L. Sibille
  • A. Tordesillas
  • F. Darve
Conference paper
  • 1.6k Downloads
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)

Abstract

This paper examines the evolution of instabilities in granular materials from a microscopic point of view, using the discrete element method. The relationship between the unstable loading directions that result in negative values for the macroscopic expression of the second order work and the terms in the microscopic expression of the second order work was investigated. Good agreement was found between the microscopic and macroscopic expressions of the second order work for the two three-dimensional specimens studied, in both the elastic and plastic tensorial zones. The vanishing of the microscopic and macroscopic second order work is shown to coincide in both specimens.

Keywords

Contact Force Discrete Element Method Order Work Microscopic Variable Tangential Contact Stiffness 
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.

References

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • F. Nicot
    • 1
    Email author
  • N. Hadda
    • 2
  • F. Bourrier
    • 3
  • L. Sibille
    • 4
  • A. Tordesillas
    • 5
  • F. Darve
    • 4
  1. 1.IRSTEA Geomechanics Group ETNAGrenobleFrance
  2. 2.Department of Civil EngineeringUniversity of CalgaryCalgaryCanada
  3. 3.Irstea—Centre de GrenobleSaint-Martin d’HèresFrance
  4. 4.UJF-INPG-CNRS, Laboratoire Sols Solides Structures RisquesGrenobleFrance
  5. 5.Department of Mathematics and StatisticsUniversity of MelbourneVictoriaAustralia

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