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Advances in Materials Science and Engineering
Volume 2018, Article ID 6783791, 11 pages
https://doi.org/10.1155/2018/6783791
Research Article

A Simple Model for Elastic-Plastic Contact of Granular Geomaterials

1School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China
2MOE Key Laboratory of High-speed Railway Engineering, Southwest Jiaotong University, Chengdu 610031, China
3National Engineering Laboratory for Technology of Geological Disaster Prevention in Land Transportation, Southwest Jiaotong University, Chengdu, Sichuan 610031, China
4School of Water Resources and Environment, China University of Geoscience (Beijing), Beijing 100083, China
5Department of Mechanical Engineering, University of South Carolina, Columbia, SC 29208, USA

Correspondence should be addressed to Qimin Li; moc.361@ilnimiq

Received 6 February 2018; Revised 13 April 2018; Accepted 3 May 2018; Published 3 June 2018

Academic Editor: Kaveh Edalati

Copyright © 2018 Jian Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. Kruggel-Emden, E. Simsek, S. Rickelt, S. Wirtz, and V. Scherer, “Review and extension of normal force models for the discrete element method,” Powder Technology, vol. 171, no. 3, pp. 157–173, 2007. View at Publisher · View at Google Scholar · View at Scopus
  2. L. Vu-Quoc, X. Zhang, and L. Lesburg, “A normal force-displacement model for contacting spheres accounting for plastic deformation: force-driven formulation,” Journal of Applied Mechanics (ASME), vol. 67, no. 2, pp. 363–371, 2000. View at Publisher · View at Google Scholar · View at Scopus
  3. M. R. Brake, “An analytical elastic-perfectly plastic contact model,” International Journal of Solids and Structures, vol. 49, no. 22, pp. 3129–3141, 2012. View at Publisher · View at Google Scholar · View at Scopus
  4. D. Rathbone, M. Marigo, D. Dini et al., “An accurate force–displacement law for the modelling of elastic–plastic contacts in discrete element simulations,” Powder Technology,, vol. 282, pp. 2–9, 2015. View at Publisher · View at Google Scholar · View at Scopus
  5. C. Thornton, S. J. Cummins, and P. W. Cleary, “An investigation of the comparative behaviour of alternative contact force models during inelastic collisions,” Powder Technology, vol. 233, pp. 30–46, 2013. View at Publisher · View at Google Scholar · View at Scopus
  6. Z. Song and K. Komvopoulos, “An elastic–plastic analysis of spherical indentation: constitutive equations for single indentation unloading and development of plasticity due to repeated indentation,” Mechanics of Materials, vol. 76, pp. 93–101, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. X. Zhang and L. Vu-Quoc, “An accurate elasto-plastic frictional tangential force-displacement model for granular-flow simulations: displacement-driven formulation,” Journal of Computational Physics, vol. 225, no. 1, pp. 730–752, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. X. Zhang and L. Vu-Quoc, “A method to extract the mechanical properties of particles in collision based on a new elasto-plastic normal force-displacement model,” Mechanics of Materials, vol. 34, no. 12, pp. 779–794, 2002. View at Publisher · View at Google Scholar · View at Scopus
  9. Abaqus/Standard, Version 2017. Dassault Systemes Simulia Corp, Abaqus/Standard, Providence, RI, USA, 2017.
  10. W. F. Chen and G. Y. Baladi, Soil Plasticity: Theory and Implementation, Elsevier, New York, NY, USA, 1985.
  11. L. Vu-Quoc and X. Zhang, “An elastoplastic contact force-displacement model in the normal direction: displacement-driven version,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 455, no. 1991, pp. 4013–4044, 1999. View at Publisher · View at Google Scholar · View at Scopus
  12. L. Vu-Quoc, X. Zhang, and L. Lesburg, “Normal and tangential force-displacement relations for frictional elasto-plastic contact of spheres,” International Journal of Solids and Structures, vol. 38, no. 36-37, pp. 6455–6489, 2001. View at Publisher · View at Google Scholar · View at Scopus
  13. Q. J Zheng, H. P Zhu, and A. B. Yu, “Finite element analysis of the contact forces between a viscoelastic sphere and rigid plane,” Power Technology, vol. 226, pp. 130–142, 2012. View at Publisher · View at Google Scholar · View at Scopus
  14. E. Fjaer, R. M. Holt, P. Horsrud et al., Petroleum Related Rock Mechanics, Elsevier, Amsterdam, Netherlands, 2nd edition, 2008.
  15. R. E. Goodman, Introduction to Rock Mechanics, Wiley, New York, NY, USA, 2nd edition, 1989.
  16. S. Antonyuk, S. Heinrich, J. Tomas et al., “Energy absorption during compression and impact of dry elastic-plastic spherical granules,” Granular Matter, vol. 12, no. 1, pp. 15–47, 2010. View at Publisher · View at Google Scholar · View at Scopus
  17. L. Kogut and I. Etsion, “Elastic–plastic contact analysis of a sphere and a rigid flat,” Journal of Applied Mechanics (ASME), vol. 69, no. 5, pp. 657–662, 2002. View at Publisher · View at Google Scholar · View at Scopus
  18. L. R. Alejano and A. Bobet, “Drucker-Prager criterion,” Rock Mechanics and Rock Engineering, vol. 45, no. 6, pp. 995–999, 2012. View at Publisher · View at Google Scholar · View at Scopus
  19. C. D. Wilson, “A critical reexamination of classical metal plasticity,” Journal of Applied Mechanics (ASME), vol. 69, no. 1, pp. 63–67, 2002. View at Publisher · View at Google Scholar · View at Scopus
  20. E. Wang, T. On, and J. Lambros, “An experimental study of the dynamic elasto-plastic contact behavior of dimer metallic granules,” Experimental Mechanics, vol. 53, no. 5, pp. 883–892, 2013. View at Publisher · View at Google Scholar · View at Scopus
  21. L. Y. Li, C. Y. Wu, and C. Thornton, “A theoretical model for the contact of elastoplastic bodies,” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 216, no. 2, pp. 421–431, 2002. View at Publisher · View at Google Scholar · View at Scopus
  22. I. Etsion, Y. Kligerman, and Y. Kadin, “Unloading of an elastic-plastic loaded spherical contact,” International Journal of Solids and Structures, vol. 42, no. 13, pp. 3716–3729, 2005. View at Publisher · View at Google Scholar · View at Scopus
  23. R. Hemsley, in Interpolation on a Magnetic Field, Bristol University, Bristol, UK, 2009, Technical Report.