DOI QR코드

DOI QR Code

Analysis of the thresholds of granular mixtures using the discrete element method

  • Jian, Gong (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Jun, Liu (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology)
  • 투고 : 2016.07.21
  • 심사 : 2016.12.09
  • 발행 : 2017.04.25

초록

The binary mixture consists of two types of granular media with different physical attributes and sizes, which can be characterized by the percentage of large granules by weight (P) and the particle size ratio (${\alpha}$). Researchers determine that two thresholds ($P_S$ and $P_L$) exist for the peak shear strength of binary mixtures, i.e., at $P{\leq}P_S$, the peak shear strength is controlled by the small granules; at $P{\leq}P_L$, the peak shear strength is controlled by the large granules; at $P_S{\leq}P{\leq}P_L$, the peak shear strength is governed by both the large and small granules. However, the thresholds of binary mixtures with different ${\alpha}$ values, and the explanation related to the inner details of binary mixtures to account for why these thresholds exist, require further confirmation. This paper considers the mechanical behavior of binary mixtures with DEM analysis. The thresholds of binary mixtures are found to be strongly related to their coordination numbers $Z_L$ for all values of ${\alpha}$, where $Z_L$ denotes the partial coordination number only between the large particles. The arrangement structure of the large particles is examined when P approaches the thresholds, and a similar arrangement structure of large particles is formed in both 2D and 3D particle systems.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

  1. Biazzo, I., Caltagirone, F., Parisi, G. and Zamponi, F. (2009), "Theory of amorphous packings of binary mixtures of hard spheres", Phys. Rev. Lett., 102(19), 195701. https://doi.org/10.1103/PhysRevLett.102.195701
  2. Cundall, P.A. and Strack, O.D.L. (1979), "A discrete numerical model for granular assemblies", Géotechnique, 29(1), 47-65. https://doi.org/10.1680/geot.1979.29.1.47
  3. Fragaszy, R., Su, J., Siddiqi, F. and Ho, C. (1992), "Modeling strength of sandy gravel", J. Geotech. Eng.-ASCE, 118(6), 920-935. https://doi.org/10.1061/(ASCE)0733-9410(1992)118:6(920)
  4. Garga, V.K. and Mdreira, C.J. (1985), "Compaction characteristics of river terrace gravel", J. Geotech. Eng.-ASCE, 111(8), 987-1007. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:8(987)
  5. Gong, J. and Liu, J. (2015), "Analysis on the mechanical behaviors of soil-rock mixtures using discrete element method", Procedia Eng., 102, 1783-1792. https://doi.org/10.1016/j.proeng.2015.01.315
  6. Hamidi, A., Azini, E. and Masoudi, B. (2012), "Impact of gradation on the shear strength-dilation behavior of well graded sand-gravel mixtures", Sci. Iran, 19(3), 393-402. https://doi.org/10.1016/j.scient.2012.04.002
  7. Hassanpour, A., Ding, Y. and Ghadiri, M. (2004), "Shear deformation of binary mixtures of dry particulate solids", Adv. Powder Technol., 15(6), 687-697. https://doi.org/10.1163/1568552042456214
  8. Jamiolkowski, M., Kongsukprasert, L. and Lo Presti, D. (2004), "Characterization of gravelly geomaterials", Proceedings of the 5th International Geotechnical Conference, Bangkok, Thailand, November.
  9. Khalili, A. (2009), "Mechanical response of highly gap-graded mixtures of waste rock and tailings (paste rock)", Ph.D. Dissertation; University of British Columbia, Vancouver, Canada.
  10. Kuenza, K., Towhata, I., Orense, R.P. and Wassan, T.H. (2004), "Undrained torsional shear tests on gravelly soils", Landslides, 1(3), 185-194. https://doi.org/10.1007/s10346-004-0023-3
  11. Lade, P.V., Liggio, C.D. and Yamamuro, J.A. (1998), "Effects of non-plastic fines on minimum and maximum void ratios of sand", Geotech. Test J., 21(4), 336-347. https://doi.org/10.1520/GTJ11373J
  12. Mcgeary, R.K. (1961), "Mechanical packing of spherical particles", J. Am. Ceram. Soc., 44(10), 513-522. https://doi.org/10.1111/j.1151-2916.1961.tb13716.x
  13. Mota, M., Teixeira, J.A., Bowen, W.R. and Yelshin, A. (2001), "Binary spherical particle mixed beds : porosity and permeability relationship measurement", Trans. Filt. Soc., 4(1), 101-106.
  14. Ogarko, V. and Luding, S. (2012), "Equation of state and jamming density for equivalent bi- and polydisperse, smooth, hard sphere systems", J. Chem. Phys., 136(12), 124508. https://doi.org/10.1063/1.3694030
  15. Oger, L., Ippolito, I. and Vidales, A.M. (2007), "How disorder can diminish avalanche risks: effect of size distribution - Precursor of avalanches", Granul. Matter., 9(3-4), 267-278. https://doi.org/10.1007/s10035-007-0040-8
  16. Pinson, D., Zou, R.P., Yu, A.B., Zulli, P. and McCarthy, M.J. (1998), "Coordination number of binary mixtures of spheres", J. Phys. D Appl. Phys., 31(4), 457-462. https://doi.org/10.1088/0022-3727/31/4/016
  17. Roux, J.N. (2000), "Geometric origin of mechanical properties of granular materials", Phys. Rev. E, 61(6), 6802-6836. https://doi.org/10.1103/PhysRevE.61.6802
  18. Saowapark, T., Sombatsompop, N. and Sirisinha, C. (2009), "Viscoelastic properties of fly ash-filled natural rubber compounds: Effect of fly ash loading", J. Appl. Polym. Sci., 112(4), 2552-2558. https://doi.org/10.1002/app.29700
  19. Shelley, T.L. and Daniel, D.E. (1993), "Effect of gravel on hydraulic conductivity of compacted soil liners", J. Geotech. Eng.-ASCE, 119(1), 54-68. https://doi.org/10.1061/(ASCE)0733-9410(1993)119:1(54)
  20. Shin, H. and Santamarina, J.C. (2013), "Role of particle angularity on the mechanical behavior of granular mixtures", J. Geotech. Geoenviron., 139(2), 353-355. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000768
  21. Simoni, A. and Houlsby, G.T. (2006), "The direct shear strength and dilatancy of sand-gravel mixtures", Geotech. Geol. Eng., 3(24), 523-549.
  22. Ueda, T., Matsushima, T. and Yamada, Y. (2011), "Effect of particle size ratio and volume fraction on shear strength of binary granular mixture", Granul. Matter., 13(6), 731-742. https://doi.org/10.1007/s10035-011-0292-1
  23. Vallejo, L.E. (2001), "Interpretation of the limits in shear strength in binary granular mixtures", Can. Geotech. J., 38(5), 1097-1104. https://doi.org/10.1139/t01-029
  24. Wang, J., Zhang, H., Deng, D. and Liu, M. (2013), "Effects of mudstone particle content on compaction behavior and particle crushing of a crushed sandstone-mudstone particle mixture", Eng. Geol., 167, 1-5. https://doi.org/10.1016/j.enggeo.2013.10.004
  25. Wang, Z., Ruiken, A., Jacobs, F. and Ziegler, M. (2014), "A new suggestion for determining 2D porosities in DEM studies", Geomech. Eng., Int. J., 7(6), 665-678. https://doi.org/10.12989/gae.2014.7.6.665
  26. Xu, W.J., Xu, Q. and Hu, R.L. (2011), "Study on the shear strength of soil-rock mixture by large scale direct shear test", Int. J. Rock Mech. Min., 48(8), 1235-1247. https://doi.org/10.1016/j.ijrmms.2011.09.018
  27. Yerazunis, S., Bartoett, J.W. and Nissan, A.H. (1962), "Packing of binary mixtures of spheres and irregular particles", Nature, 195, 33-35. https://doi.org/10.1038/195033a0
  28. Yu, A.B. and Standish, N. (1987), "Porosity calculations of multi-component mixtures of spherical particles", Powder Technol., 52(3), 233-241. https://doi.org/10.1016/0032-5910(87)80110-9
  29. Zhang, L. and Thornton, C. (2007), "A numerical examination of the direct shear test", Geotechnique, 57(4), 343-354. https://doi.org/10.1680/geot.2007.57.4.343
  30. Zhang, Z.F., Ward, A.L. and Keller, J.M. (2011), "Determining the porosity and saturated hydraulic conductivity of binary mixtures", Vadose Zone J., 10(1), 313-321. https://doi.org/10.2136/vzj2009.0138

피인용 문헌

  1. Liquid-Bridge Contact Model of Unsaturated Granular Materials and its Application in Discrete-Element Method vol.21, pp.9, 2021, https://doi.org/10.1061/(asce)gm.1943-5622.0002122