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Granular Matter

, 21:86 | Cite as

The influence of particle elongations on direct shear behaviour of granular materials using DEM

  • Shiva Prashanth Kumar Kodicherla
  • Guobin GongEmail author
  • Z. X. Yang
  • Kristian Krabbenhoft
  • Lei Fan
  • Charles K. S. Moy
  • Stephen Wilkinson
Original Paper
  • 252 Downloads

Abstract

This study examines the influence of particle elongation on the direct shear behaviour of granular materials using the discrete element method. A series of numerical direct shear test simulations were performed, and both the macroscopic and microscopic behaviour of elongated assemblies at the critical state were examined. The macroscopic response of elongated particles exhibits an initial hardening followed by post-peak strain softening, prior to reaching the critical state. The peak state friction angles initially increase and stay stable as the dimensionless elongation parameter (\(\eta\)) increases, whereas the critical state friction angles increase with the increase of \(\eta\). Independent of the applied normal stresses, all samples reach a critical state at a unique normalized stress ratio (i.e., \(\tau /\sigma = 0.51\)) after ~ 25% shear strain. The stress-fabric relationship is mainly governed by the strong force subnetwork which is more affected by the change of η than the weak force subnetwork. Particle elongation generates a downward shifting of critical state lines (CSLs) in \(e - p^{{\prime }}\) space. Furthermore, the correlations between CSL parameters and \(\eta\) are well-fitted by a second-order polynomial function. These findings highlight the significance of particle elongation on direct shear behaviour of granular materials.

Keywords

DEM Direct shear test Critical state Fabric tensor Strong and weak force subnetworks 

Notes

Acknowledgements

The authors would like to express their gratitude for providing the financial support from National Natural Science Foundation of China (Grant Nos: NSFC 51578499 and 51825803) and Xi’an Jiaotong – Liverpool University (RDF-14-02-44, RDF-15-01-38 and RDF-18-01-23). Also, the fundings supported by Key Program Special Fund in XJTLU (Grant No: KSF-E-19) and Natural Science Foundation of Jiangsu Province (Grant No: BK20160393) are greatly appreciated.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

References

  1. 1.
    Abbireddy, C.O., Clayton, C.R.I.: Varying initial void ratios for DEM simulations. Geotechnique 60(6), 497–502 (2010)Google Scholar
  2. 2.
    Abedi, S., Mirghasemi, A.A.: Particle shape consideration in numerical simulation of assemblies of irregularly shaped particles. Particuology 9(4), 387–397 (2011)Google Scholar
  3. 3.
    Altuhafi, F., O’Sullivan, C., Cavarretta, I.: Analysis of an image-based method to quantify the size and shape of sand particles. J. Geotech. Geoenviron. Eng. 139(8), 1290–1307 (2013)Google Scholar
  4. 4.
    Azema, E., Radjai, F.: Stress–strain behaviour and geometrical properties of packings of elongated particles. Phys. Rev. E 81, 051304 (2010)ADSGoogle Scholar
  5. 5.
    Azema, E., Radjai, F.: Force chains and contact network topology in packings of elongated particles. Phys. Rev. E 85, 031303 (2011)ADSGoogle Scholar
  6. 6.
    Bagherzadeh-Khalkhali, A., Mirghasemi, A.A.: Numerical and experimental direct shear tests for coarse-grained soils. Particuology 7(1), 83–91 (2009)Google Scholar
  7. 7.
    Bolton, M.D.: The strength and dilatancy of sands. Geotechnique 36(1), 65–78 (1986)Google Scholar
  8. 8.
    Charles, J.A., Watts, K.S.: The influence of confining pressure on the shear strength of compacted rockfill. Geotechnique 30(4), 353–367 (1980)Google Scholar
  9. 9.
    Christoffersen, J., Mehrabadi, M., Nemat-Nasser, S.: A micromechanical description of granular material behaviour. J. Appl. Mech. 48(2), 339–344 (1981)zbMATHADSGoogle Scholar
  10. 10.
    Cui, L., O’Sullivan, C.: Exploring the macro-and micro-scale response of an idealized granular material in the direct shear apparatus. Geotechnique 56(7), 455–468 (2006)Google Scholar
  11. 11.
    Deluzarche, R., Cambou, B.: Discrete numerical modelling of rockfill dams. Int. J. Numer. Anal. Methods Geomech. 30, 1075–1096 (2006)zbMATHGoogle Scholar
  12. 12.
    Donev, A., Cisse, I., Sachs, D., Variano, E.A., Stillinger, F.H., Connelly, R., Torquato, S., Chaikin, P.M.: Improving the density of jammed disordered packings using ellipsoids. Science 303(5660), 990–993 (2004)ADSGoogle Scholar
  13. 13.
    Fonseca, J., O’Sullivan, C., Coop, M.R., Lee, P.: Quantifying the evolution of soil fabric during shearing using directional parameters. Geotechnique 63(10), 487–499 (2013)Google Scholar
  14. 14.
    Galindo-Torres, S.A., Munoz, J.D., Alonso-Marroquin, F.: Minkowski-Voronoi diagrams as a method to generate random packings of spheropolygons for the simulation of soils. Phys. Rev. E 82, 056713 (2010)ADSGoogle Scholar
  15. 15.
    Gong, G.: DEM Simulations of Drained and Undrained Behaviour. Ph.D. thesis, University of Birmingham, UK (2008)Google Scholar
  16. 16.
    Gong, G., Zha, X.: DEM simulation of undrained behaviour with preshearing history for saturated granular media. Model. Simul. Mater. Sci. Eng. 21, 1–12 (2013)Google Scholar
  17. 17.
    Gong, G., Thornton, C., Chan, A.H.C.: DEM simulations of undrained triaxial behavior of granular material. J. Eng. Mech. 138(6), 560–566 (2012)Google Scholar
  18. 18.
    Gong, G., Zha, X., Wei, J.: Comparison of granular material behaviour under drained triaxial and plane strain conditions using 3D DEM simulations. Acta Mech. Solida Sin. 25(2), 186–195 (2012)Google Scholar
  19. 19.
    Gong, G., Lin, P., Qin, Y., Wei, J.: DEM simulation of liquefaction for granular media under undrained axisymmetric compressionand plane strain conditions. Acta Mech. Solida Sin. 25(6), 562–569 (2012)Google Scholar
  20. 20.
    Gong, J., Liu, J.: Effect of aspect ratio on triaxial compression of multi-sphere ellipsoid assemblies simulated using a discrete element method. Particuology 32, 49–62 (2016)Google Scholar
  21. 21.
    Gong, J., Nie, Z., Zhu, Y., Liang, Z., Wang, X.: Exploring the effects of particle shape and content of fines on the shear behavior of sand-fines mixtures via the DEM. Comput. Geotech. 106, 161–176 (2019)Google Scholar
  22. 22.
    Guo, N., Zhao, J.: The signature of shear-induced anisotropy in granular media. Comput. Geotech. 47, 1–15 (2013)MathSciNetADSGoogle Scholar
  23. 23.
    Guo, P., Su, X.: Shear strength interparticle locking, and dilatancy of granular materials. Can. Geotech. J. 44(5), 579–591 (2007)Google Scholar
  24. 24.
    Huang, X., Hanley, K.J., O’Sullivan, C., Kwok, F.C.Y.: Effect of sample size on the response of DEM samples with a realistic grading. Particuology 15, 107–115 (2014)Google Scholar
  25. 25.
    Indraratna, B., Ngo, N.T., Rujukiatkamjorn, C., Vinod, J.S.: Behavior of fresh and fouled railway ballast subjected to direct shear testing: discrete element simulation. Int. J. Geom. 14(1), 34–44 (2014)Google Scholar
  26. 26.
    Itasca Consulting Group: Particle Flow Code in Three Dimensions (PFC3D). Itasca Consulting Group, Minneapolis (2018)Google Scholar
  27. 27.
    Jiang, M.D., Yang, Z.X., Barreto, D., Xie, Y.H.: The influence of particle-size distribution on critical state behavior of spherical and non-spherical particles assemblies. Granul. Matter 20(4), 80 (2018)Google Scholar
  28. 28.
    Kodicherla, S.P.K., Gong, G., Fan, L., Moy, C.K.S., He, J.: Effects of preparation methods on inherent fabric anisotropy and packing density of reconstituted sand. Cogent Eng. 5(1), 1–14 (2018)Google Scholar
  29. 29.
    Langston, P., Kennedy, A.R., Constantin, H.: Discrete element modelling of flexible fibre packing. Comput. Mater. Sci. 96(Part A), 108–116 (2015)Google Scholar
  30. 30.
    Li, X.S., Wang, Y.: Linear representation of steady-state line for sand. J. Geotech. Geoenviron. Eng. 124(12), 1215–1217 (1998)Google Scholar
  31. 31.
    Ng, T.T.: Particle shape effect on macro- and micro-behaviors of monodisperse ellipsoids. Int. J. Numer. Anal. Methods Geomech. 33, 511–527 (2009)zbMATHGoogle Scholar
  32. 32.
    O’Sullivan, C.: Particulate Discrete Element Modelling. A Geomechanics Perspective, Applied Geotechnics, vol. 4, 1st edn, p. 390. CRC Press, Boca Raton (2011)Google Scholar
  33. 33.
    Pournin, L., Weber, M., Tsukahara, M., Ferrez, J.A., Ramaioli, M., Liebling, ThM: Three-dimensional distinct element simulation of spherocylinder crystallization. Granul. Matter 7(2–3), 119–126 (2005)zbMATHGoogle Scholar
  34. 34.
    Radjai, F., Wolf, D.E., Jean, M., Moreau, J.J.: Bimodal character of stress transmission in granular packings. Phys. Rev. Lett. 80, 61–64 (1998)ADSGoogle Scholar
  35. 35.
    Roscoe, K.H., Schofield, A.N., Wroth, C.P.: On the yielding of soils. Geotechnique 8(1), 22–53 (1958)Google Scholar
  36. 36.
    Rothenburg, L.: Micromechanics of Idealized Granular Systems. Ph.D. thesis, Carleton University Canada (1980)Google Scholar
  37. 37.
    Rothenburg, L., Bathurst, R.J.: Micromechanical features of granular assemblies with planar elliptical particles. Geotechnique 42(1), 79–95 (1992)Google Scholar
  38. 38.
    Rowe, P.W.: The relation between the shear strength of sands in triaxial compression, plane strain and direct shear. Geotechnique 19(1), 75–86 (1969)Google Scholar
  39. 39.
    Satake, M.: Fabric tensor in granular materials. In: Proceedings of the IUTAM Conference on Deformation and Failure of Granular Materials, Delft, pp. 63–67 (1982)Google Scholar
  40. 40.
    Schaller, F.M., Neudecker, M., Saadatfar, M., Delaney, G.W., Schroder-Turk, G.E., Schroter, M.: Local origin of global contact numbers in frictional ellipsoid packings. Phys. Rev. Lett. 114, 158001 (2015)ADSGoogle Scholar
  41. 41.
    Shi, J., Guo, P.: Fabric evolution of granular materials along imposed stress paths. Acta Geotech. 13(6), 1–14 (2018)Google Scholar
  42. 42.
    Shi, J., Guo, P.: Induced fabric anisotropy of granular materials in biaxial tests along imposed strain paths. Soils Found. 58(2), 249–263 (2018)Google Scholar
  43. 43.
    Simony, A., Houlsby, G.T.: The direct shear strength and dilatancy of sand–gravel mixtures. Geotech. Geol. Eng. 24, 523–549 (2006)Google Scholar
  44. 44.
    Stahl, M., Konietzky, H.: Discrete element simulation of ballast and gravel under special consideration of grain-shape, grain-size and relative density. Granul. Matter 13(4), 417–428 (2011)Google Scholar
  45. 45.
    Thornton, C.: Numerical simulations of deviator shear deformations of granular media. Geotechnique 50(1), 43–53 (2000)Google Scholar
  46. 46.
    Thornton, C.: Granular dynamics, contact mechanics and particle system simulations: a dem study (particle technology series), 1st edn. Springer, Berlin (2015).  https://doi.org/10.1007/978-3-319-18711-2 CrossRefGoogle Scholar
  47. 47.
    Thornton, C., Zhang, L.: Numerical simulation of the direct shear test. Chem. Eng. Technol. 26(2), 153–156 (2003)Google Scholar
  48. 48.
    Tian, J., Liu, E., Jiang, L., Jiang, X., Sun, Y., Xu, R.: Influence of particle shape on the microstructure evolution and the mechanical properties of granular materials. C. R. Méc. 346(6), 460–476 (2018)ADSGoogle Scholar
  49. 49.
    Wu, Q.X., Yang, Z.X. Li, X.: Numerical simulations of granular materials under rotational shear: micromechanical observation and energy consideration. Meccanica 54, 723–740 (2019)Google Scholar
  50. 50.
    Xie, Y.H., Yang, Z.X., Barreto, D., Jiang, M.D.: The influence of particle geometry and the intermediate stress ratio on the shear behavior of granular materials. Granul. Matter 19, 35 (2017)Google Scholar
  51. 51.
    Yang, J., Luo, X.D.: Exploring the relationship between critical state and particle shape for granular materials. J. Mech. Phys. Sol. 84, 196–213 (2015)ADSGoogle Scholar
  52. 52.
    Yang, Z.X., Wu, Y.: Critical state for anisotropic granular materials: a discrete element perspective. Int. J. Geom. 17(2), 04016054 (2017)Google Scholar
  53. 53.
    Yang, Z.X., Yang, J., Wang, L.Z.: On the influence of inter-particle friction and dilatancy in granular materials: a numerical analysis. Granul. Matter 14(3), 433–447 (2012)Google Scholar
  54. 54.
    Yang, Z.X., Yang, J., Wang, L.Z.: Micro-scale modeling of anisotropy effects on undrained behavior of granular soils. Granul. Matter 15(5), 557–572 (2013)Google Scholar
  55. 55.
    Zhao, S., Evans, T.M., Zhou, X., Zhou, S.: Discrete element method investigation on thermally-induced shakedown of granular materials. Granul. Matter 19, 11 (2017)Google Scholar
  56. 56.
    Zhao, S., Mathew Evans, T., Zhou, X.: Three-dimensional Voronoi analysis of monodisperse ellipsoids during triaxial shear. Powder Technol. 323(1), 323–336 (2018)Google Scholar
  57. 57.
    Zhao, S., Zhang, N., Zhou, X., Zhang, L.: Particle shape effects on fabric of granular random packing. Powder Technol. 310(1), 175–186 (2017)Google Scholar
  58. 58.
    Zhao, S., Zhao, J.: A poly-superellipsoid-based approach on particle morphology for DEM modelling of granular media. Int. J. Numer. Anal. Methods Geomech. 43, 2147–2169 (2019)ADSGoogle Scholar
  59. 59.
    Zhao, S., Zhou, X., Liu, W., Lai, C.: Random packing of tetrahedral particles using the polyhedral discrete element method. Particuology 23, 109–117 (2015)Google Scholar
  60. 60.
    Zhao, S., Zhou, X.: Effects of particle asphericity on the macro- and micro-mechanical behaviors of granular material assemblies. Granul. Matter 19, 38 (2017)Google Scholar
  61. 61.
    Zhou, W., Ma, G., Chang, X., Zhou, C.: Influence of particle shape on behavior of rockfill using a three-dimensional deformable DEM. J. Eng. Mech. 139(12), 1868–1873 (2013)Google Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Civil EngineeringXi’an Jiaotong – Liverpool University (XJTLU)SuzhouPeople’s Republic of China
  2. 2.Department of Civil EngineeringZhejiang UniversityHangzhouPeople’s Republic of China
  3. 3.Department of Civil Engineering and Industrial DesignUniversity of Liverpool (UoL)LiverpoolUK
  4. 4.Department of Civil EngineeringUniversity of WollongongDubaiUAE

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