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International Workshop on Bifurcation and Degradation in Geomaterials

IWBDG 2014: Bifurcation and Degradation of Geomaterials in the New Millennium pp 67–74Cite as

Micromechanical Analysis of Second Order Work in Granular Media

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Part of the book series: Springer Series in Geomechanics and Geoengineering ((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.

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Notes

  1. 1.

    The plastic tensorial zone groups all directions along which the response to the strain probe has a predominant plastic component compared to elastic one.

References

  • Cundall PA, Strack ODL (1979) A discrete numerical model for granular assemblies. Geotech 29(1):47–65

    Article  Google Scholar 

  • Hadda N, Nicot F, Bourrier F, Sibille L, Radjai F, Darve F (2013) Micromechanical analysis of second-order work in granular media. Granular Matter 15(2):221–235

    Article  Google Scholar 

  • Hill R (1958) A general theory of uniqueness and stability in elastic-plastic solids. J Mech Phys Solids 6(3):236–249

    Article  MATH  Google Scholar 

  • Laouafa F, Darve F (2002) Modelling of slope failure by a material instability mechanism. Comp Geotech 29(4):301–325

    Article  Google Scholar 

  • Nicot F, Darve F, Koah HDV (2007) Bifurcation and second-order work in geomaterials. Int J Num Anal Meth Geomech 31(8):1007–1032

    Article  MATH  Google Scholar 

  • Nicot F, Hadda N, Bourrier F, Sibille L, Darve F (2011) Failure mechanisms in granular media: a discrete element analysis. Granular Matter 13(3):255–260

    Article  Google Scholar 

  • Nicot F, Hadda N, Bourrier F, Sibille L, Wan R, Darve F (2012) Inertia effects as a possible missing link between micro and macro second-order work in granular media. Int J Solids Struct 49(10):1252–1258

    Article  Google Scholar 

  • Šmilauer V, Catalano E, Chareyre B, Dorofeenko S, Duriez J, Gladky A, Kozicki J, et al (2010) Yade documentation, The Yade Project. Retrieved from http://yade-dem.org/doc/

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Author information

Authors and Affiliations

  1. IRSTEA Geomechanics Group ETNA, Grenoble, France

    F. Nicot

  2. Department of Civil Engineering, University of Calgary, Calgary, Canada

    N. Hadda

  3. Irstea—Centre de Grenoble, BP 76, 38402, Saint-Martin d’Hères, France

    F. Bourrier

  4. UJF-INPG-CNRS, Laboratoire Sols Solides Structures Risques, Grenoble, France

    L. Sibille & F. Darve

  5. Department of Mathematics and Statistics, University of Melbourne, Victoria, Australia

    A. Tordesillas

Authors
  1. F. Nicot
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  2. N. Hadda
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  3. F. Bourrier
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  4. L. Sibille
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  5. A. Tordesillas
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  6. F. Darve
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Corresponding author

Correspondence to F. Nicot .

Editor information

Editors and Affiliations

  1. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hong Kong, China

    Kam-Tim Chau

  2. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Kowloon, Hong Kong, China

    Jidong Zhao

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© 2015 Springer International Publishing Switzerland

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Cite this paper

Nicot, F., Hadda, N., Bourrier, F., Sibille, L., Tordesillas, A., Darve, F. (2015). Micromechanical Analysis of Second Order Work in Granular Media. In: Chau, KT., Zhao, J. (eds) Bifurcation and Degradation of Geomaterials in the New Millennium. IWBDG 2014. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-13506-9_11

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  • DOI: https://doi.org/10.1007/978-3-319-13506-9_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13505-2

  • Online ISBN: 978-3-319-13506-9

  • eBook Packages: EngineeringEngineering (R0)

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