The effect of particle shape on the marginal rigidity state in 2D granular media (original) (raw)

Abstract

PACS 45.70.-n-Granular systems PACS 45.50.-j-Dynamics and kinematics of a particle and a system of particles Abstract-Experimental results from an investigation of the assembly of two-dimensional granular piles are presented. Three different particle shapes were used in the investigation of the evolution of piles towards isostatic and isotropic granular assemblies. Good agreement is found with previous experimental results for all particle shapes. We attempt to classify the divergence of a characteristic length-scale of the system as a power law and provide an estimate of the critical exponent. We find that the results are independent of particle shapes and speculate this may be a general feature of two-dimensional convex particles.

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References (18)

  1. Jaeger H., Nagel S. and R.P. B., Rev. Mod. Phys., 60 (1996) 1259.
  2. de Gennes P., Rev. Mod. Phys., 71 (1999) 5374.
  3. Duran J., Sands Powders and Grains: An Introduction to the Physics of Granular Materials (Springer) 1999.
  4. Seed I., J. Geotech. Eng. Div., 105 (1979) 201.
  5. Darve F., Sibille L., Daouadji A. and Nicot F., C. R. Mécanique, 335 (2007) 496.
  6. Rothenburg L. and Kruyt N., Int. J. Solids Struct., 41 (2004) 5763.
  7. Edwards S. and Grinev D., Phys. Rev. Lett., 82 (1999) 5397.
  8. Sibille L. and Froiio F., Granular Matter, 9 (2007) 183.
  9. Kolb E., Goldenberg C., Inagaki S. and Clément E., J. Stat. Mech. (2006) P07017 .
  10. Rajaï F., Troadec H. and Roux S., Key features of granular plasticity, in Granular Materials: Fundamentals and Applications, edited by Anthony S. J., Hoyle W. and Ding Y. (Royal Society of Chemistry, Cambridge) 2004, pp. 157-184.
  11. Ng T. and Dobry R., J. Geotech. Eng., 120 (1994) 388.
  12. Ball R. and Blumenfeld R., Philos. Trans. R. Soc. London, Ser. A, 360 (2003) 731.
  13. Blumenfeld R., Edwards S. and Ball R., J. Phys.: Condens. Matter, 17 (2005) S2481.
  14. Ball R. and Blumenfeld R., Phys. Rev. Lett., 88 (2002) 115505.
  15. Blumenfeld R., New J. Phys., 9 (2007) 160.
  16. Zuriguel I. and Mullin T., Phys. Rev. Lett., 98 (2007) 28001.
  17. Xu C. and Prince J., IEEE Trans. Image Process., 7 (1998) 359.
  18. Hinrichsen E., Feder J. and Jossang T., Phys. Rev. A, 41 (1990) 4199.