Technical Papers
Jul 4, 2024

Why Modeling Particle Shape Matters: Significance of Particle-Scale Modeling in Describing Global and Local Granular Responses

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 150, Issue 9

Abstract

The applicability of particle-scale modeling using the discrete-element method (DEM) is typically evaluated by comparing simulation results with stress–strain responses observed in elementary tests. This validation at the global level may not guarantee that the simulation can capture realistic particle-level motion. Thus, this study investigated the applicability and limitation of two types of DEM models, through the comparison with experimental results of biaxial shearing tests on bidisperse granular assemblies comprising circular (round) and hexagonal (angular) particles under various confining pressures. Experimental data wherein particle rotations were identified by novel image analysis technique were used to evaluate whether the DEM models could accurately reproduce macroscopic stress–strain relationships and microscopic particle responses. Experimental findings suggested that particle rotations play a crucial role in granular deformation and are influenced by the particle shape. A detailed DEM model with precise particle shapes effectively replicated both macroscopic stress–strain relationships and microscopic responses, including particle rotation and interlocking at global and local levels. Conversely, a simpler ad hoc DEM model, which incorporates rolling resistance for circular particles, could imitate the stress–strain relationships of hexagonal particles but fell short in replicating microscopic responses accurately.

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Data Availability Statement

The data sets generated during and analyzed during the study are available from the corresponding author upon reasonable request.

Acknowledgments

The Ministry of Education, Culture, Sports, Science, and Technology of Japan is acknowledged for giving financial assistance through a MEXT scholarship to the first author to study at Yokohama National University, Japan. This work was funded by JSPS KAKENHI under Grant Nos. 24360192 and 19H00780 to the corresponding author. We also gratefully acknowledge the financial support from the Royal Society International Exchanges research grant (IES/R1/201238) for the second and third authors.

References

Ali, U., M. Kikumoto, and M. Ciantia. 2024. “Impact of particle elongation on the behavior of round and angular media: Consequences of particle rotation and force chain development.” Comput. Geotech. 165 (Jan): 105858. https://doi.org/10.1016/j.compgeo.2023.105858.
Ali, U., M. Kikumoto, M. Ciantia, and Y. Cui. 2021. “Direct observation of particle kinematics in biaxial shearing test.” In Proc., 18th UK Travelling Workshop, Geomechanics: From Micro to Macro, 1–4. Dundee, UK: Univ. of Dundee.
Ali, U., M. Kikumoto, M. Ciantia, Y. Cui, and M. Previtali. 2023a. “Systematic effect of particle roundness/angularity on macro- and microscopic behavior of granular materials.” Granular Matter 25 (3): 51. https://doi.org/10.1007/s10035-023-01341-y.
Ali, U., M. Kikumoto, M. Ciantia, M. Previtali, and Y. Cui. 2023b. “Experimental micro–macromechanics: Particle shape effect on the biaxial shear response of particulate systems.” Géotechnique 2023 (Jun): 1–13. https://doi.org/10.1680/jgeot.22.00364.
Ali, U., M. Kikumoto, Y. Cui, M. Ciantia, and M. Previtali. 2023c. “Role of particle rotation in sheared granular media.” Acta Geotech. 18 (9): 4599–4614. https://doi.org/10.1007/s11440-023-01860-1.
Andò, E., S. A. Hall, G. Viggiani, J. Desrues, and P. Bésuelle. 2012. “Grain-scale experimental investigation of localised deformation in sand: A discrete particle tracking approach.” Acta Geotech. 7 (1): 1–13. https://doi.org/10.1007/s11440-011-0151-6.
Azéma, E., N. Estrada, and F. Radjaï. 2012. “Nonlinear effects of particle shape angularity in sheared granular media.” Phys. Rev. E 86 (4): 1–15. https://doi.org/10.1103/PhysRevE.86.041301.
Azéma, E., I. Preechawuttipong, and F. Radjai. 2016. “Binary mixtures of disks and elongated particles: Texture and mechanical properties.” Phys. Rev. E 94 (4): 1–12. https://doi.org/10.1103/PhysRevE.94.042901.
Azéma, E., and F. Radjaï. 2012. “Force chains and contact network topology in sheared packings of elongated particles.” Phys. Rev. E 85 (3): 1–12. https://doi.org/10.1103/PhysRevE.85.031303.
Bardet, J. P. 1994. “Observations on the effects of particle rotations on the failure of idealized granular materials.” Mech. Mater. 18 (2): 159–182. https://doi.org/10.1016/0167-6636(94)00006-9.
Bardet, J. P., and J. Proubet. 1991. “A numerical investigation of the structure of persistent shear bands in granular media.” Géotechnique 41 (4): 599–613. https://doi.org/10.1680/geot.1991.41.4.599.
Binaree, T., E. Azéma, N. Estrada, M. Renouf, and I. Preechawuttipong. 2020. “Combined effects of contact friction and particle shape on strength properties and microstructure of sheared granular media.” Phys. Rev. E 102 (2): 22901. https://doi.org/10.1103/PhysRevE.102.022901.
Binaree, T., I. Preechawuttipong, and E. Azéma. 2019. “Effects of particle shape mixture on strength and structure of sheared granular materials.” Phys. Rev. E 100 (1): 1–10. https://doi.org/10.1103/PhysRevE.100.012904.
Catalano, E., B. Chareyre, and E. Barthélémy. 2014. “Pore-scale modeling of fluid-particles interaction and emerging poromechanical effects.” Int. J. Numer. Anal. Methods Geomech. 38 (1): 51–71. https://doi.org/10.1002/nag.2198.
Cavarretta, I., I. Rocchi, and M. R. Coop. 2011. “A new interparticle friction apparatus for granular materials.” Can. Geotech. J. 48 (12): 1829–1840. https://doi.org/10.1139/t11-077.
Chen, Z., M. Omidvar, K. Li, and M. Iskander. 2017. “Particle rotation of granular materials in plane strain.” Int. J. Phys. Modell. Geotech. 17 (1): 23–40. https://doi.org/10.1680/jphmg.15.00046.
Ciantia, M. O., M. Arroyo, C. O’Sullivan, and A. Gens. 2019. “Micromechanical inspection of incremental behaviour of crushable soils.” Acta Geotech. 14 (5): 1337–1356. https://doi.org/10.1007/s11440-019-00802-0.
Crocker, J. C., and D. G. Grier. 1996. “Methods of digital video microscopy for colloidal studies.” J. Colloid Interface Sci. 179 (1): 298–310. https://doi.org/10.1006/jcis.1996.0217.
Cui, L., C. O’Sullivan, and S. O’Neill. 2007. “An analysis of the triaxial apparatus using a mixed boundary three-dimensional discrete element model.” Géotechnique 57 (10): 831–844. https://doi.org/10.1680/geot.2007.57.10.831.
Cundall, P. A. 1979. “A discrete numerical model for granular assemblies.” Géotechnique 29 (1): 47–65. https://doi.org/10.1680/geot.1979.29.1.47.
Estrada, N., E. Azéma, F. Radjai, and A. Taboada. 2011. “Identification of rolling resistance as a shape parameter in sheared granular media.” Phys. Rev. E 84 (1): 1–5. https://doi.org/10.1103/PhysRevE.84.011306.
Huang, J., M. Vicente da Silva, and K. Krabbenhoft. 2013. “Three-dimensional granular contact dynamics with rolling resistance.” Comput. Geotech. 49 (Apr): 289–298. https://doi.org/10.1016/j.compgeo.2012.08.007.
Huang, X., K. J. Hanley, C. O’Sullivan, and C. Y. Kwok. 2014. “Exploring the influence of interparticle friction on critical state behaviour using DEM.” Int. J. Numer. Anal. Methods Geomech. 38 (12): 1276–1297. https://doi.org/10.1002/nag.2259.
Huo, Y. X., Y. F. Leung, and C. Y. Kwok. 2023. “Micro-mechanical perspective on the role of particle shape in shearing of sands.” Can. Geotech. J. 60 (10): 1515–1531. https://doi.org/10.1139/cgj-2022-0270.
Iwashita, K., and M. Oda. 1998. “Rolling resistance at contacts in simulation of shear band.” J. Eng. Mech. 124 (Mar): 285–292. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:3(285).
Kawamoto, R., E. Andò, G. Viggiani, and J. E. Andrade. 2018. “All you need is shape: Predicting shear banding in sand with LS-DEM.” J. Mech. Phys. Solids 111 (Feb): 375–392. https://doi.org/10.1016/j.jmps.2017.10.003.
Kuhn, M. R. 1999. “Structured deformation in granular materials.” Mech. Mater. 31 (6): 407–429. https://doi.org/10.1016/S0167-6636(99)00010-1.
Kuhn, M. R., and K. Bagi. 2002. “Particle rotations in granular materials.” In Proc., 15th ASCE Engineering Mechanics Conf., 6. Reston, VA: ASCE.
Liu, Y., X. Liu, and W. Hu. 2023. “Competition mechanism between dilation and interlocking in granular soils: DEM simulation and constitutive modeling.” Acta Geotech. 18 (1): 149–169. https://doi.org/10.1007/s11440-022-01552-2.
Mindlin, R. D., and H. Deresiewicz. 1953. “Elastic spheres in contact under varying oblique forces.” J. Appl. Mech. 20 (3): 327–344. https://doi.org/10.1115/1.4010702.
Mirghasemi, A. A., L. Rothenburg, and E. L. Matyas. 2002. “Influence of particle shape on engineering properties of assemblies of two-dimensional polygon-shaped particles.” Géotechnique 52 (3): 209–217. https://doi.org/10.1680/geot.2002.52.3.209.
Misra, A., and H. Jiang. 1997. “Measured kinematic fields in the biaxial shear of granular materials.” Comput. Geotech. 20 (3–4): 267–285. https://doi.org/10.1016/S0266-352X(97)00006-2.
Mitchell, J. K., and K. Soga. 2005. Fundamentals of soil behavior. 3rd ed. New York: Wiley.
Nie, Z., C. Fang, J. Gong, and Z. Liang. 2020. “DEM study on the effect of roundness on the shear behaviour of granular materials.” Comput. Geotech. 121 (May): 103457. https://doi.org/10.1016/j.compgeo.2020.103457.
Nitka, M., and A. Grabowski. 2021. “Shear band evolution phenomena in direct shear test modelled with DEM.” Powder Technol. 391 (Oct): 369–384. https://doi.org/10.1016/j.powtec.2021.06.025.
Oda, M., J. Konishi, and S. Nemat-Nasser. 1982. “Experimental micromechanical evaluation of strength of granular materials: Effects of particle rolling.” Mech. Mater. 1 (4): 269–283. https://doi.org/10.1016/0167-6636(82)90027-8.
Rorato, R., M. Arroyo, E. Andò, A. Gens, and G. Viggiani. 2020. “Linking shape and rotation of grains during triaxial compression of sand.” Granular Matter 22 (4): 1–21. https://doi.org/10.1007/s10035-020-01058-2.
Rorato, R., M. Arroyo, A. Gens, E. Andò, and G. Viggiani. 2021. “Image-based calibration of rolling resistance in discrete element models of sand.” Comput. Geotech. 131 (Jan): 103929. https://doi.org/10.1016/j.compgeo.2020.103929.
Rothenburg, L., and R. J. Bathurst. 1992. “Micromechanical features of granular assemblies with planar elliptical particles.” Géotechnique 42 (1): 79–95. https://doi.org/10.1680/geot.1992.42.1.79.
Schneebeli, M. 1956. “Une analogie mechanique pour les terres sans cohesion.” C. R. Seances Acad. Sci. 243 (Apr): 125–126.
Shin, H., and J. C. Santamarina. 2013. “Role of particle angularity on the mechanical behavior of granular mixtures.” J. Geotech. Geoenviron. Eng. 139 (2): 353–355. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000768.
Smilauer, V., E. Catalano, B. Chareyre, S. Dorofeenko, and C. Jakob. 2015. “YADE documentation.” Preprint, submitted January 2, 2023. https://arxiv.org/abs/2301.00611.
Tong, Z. X., L. W. Zhang, and M. Zhou. 2013. “DEM simulation of biaxial compression experiments of inherently anisotropic granular materials and the boundary effects.” J. Appl. Math. 2013 (Jan): 1. https://doi.org/10.1155/2013/394372.
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.
Wensrich, C. M., A. Katterfeld, and D. Sugo. 2014. “Characterisation of the effects of particle shape using a normalised contact eccentricity.” Granular Matter 16 (3): 327–337. https://doi.org/10.1007/s10035-013-0465-1.
Wu, K., S. Liu, W. Sun, and S. Rémond. 2020. “DEM study of the shear behavior and formation of shear band in biaxial test.” Adv. Powder Technol. 31 (4): 1431–1440. https://doi.org/10.1016/j.apt.2020.01.016.
Wu, M., F. Wu, and J. Wang. 2022. “Particle shape effect on the shear banding in DEM-simulated sands.” Granular Matter 24 (2): 1–17. https://doi.org/10.1007/s10035-022-01210-0.
Wu, M., L. Xiong, and J. Wang. 2021. “DEM study on effect of particle roundness on biaxial shearing of sand.” Underground Space 6 (6): 678–694. https://doi.org/10.1016/j.undsp.2021.03.006.
Yimsiri, S., and K. Soga. 2010. “Dem analysis of soil fabric effects on behaviour of sand.” Géotechnique 60 (6): 483–495. https://doi.org/10.1680/geot.2010.60.6.483.
Zhang, W., J. Wang, and M. Jiang. 2013. “DEM-aided discovery of the relationship between energy dissipation and shear band formation considering the effects of particle rolling resistance.” J. Geotech. Geoenviron. Eng. 139 (9): 1512–1527. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000890.
Zhao, S., X. Zhou, and W. Liu. 2015. “Discrete element simulations of direct shear tests with particle angularity effect.” Granular Matter 17 (6): 793–806. https://doi.org/10.1007/s10035-015-0593-x.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 150Issue 9September 2024

History

Received: Oct 5, 2023
Accepted: Apr 11, 2024
Published online: Jul 4, 2024
Published in print: Sep 1, 2024
Discussion open until: Dec 4, 2024

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Postdoctoral Researcher, Dept. of Civil Engineering, Yokohama National Univ., Tokiwadai 79, Hodogaya, Yokohama, Kanagawa 240-8501, Japan. Email: [email protected]
Professor, Dept. of Civil Engineering, Yokohama National Univ., Tokiwadai 79, Hodogaya, Yokohama, Kanagawa 240-8501, Japan (corresponding author). ORCID: https://orcid.org/0000-0003-0713-7010. Email: [email protected]
Senior Lecturer, School of Science and Engineering, Univ. of Dundee, Nethergate, Dundee DD1 4HN, Scotland, UK; Associate Professor, Dept. of Earth and Environmental Sciences, Univ. of Milano-Bicocca, Piazza della Scienza 1/U4, Milan 20126, Italy. ORCID: https://orcid.org/0000-0003-1897-4471. Email: [email protected]; [email protected]
Associate Professor, Dept. of Civil Engineering, Yokohama National Univ., Tokiwadai 79, Hodogaya, Yokohama, Kanagawa 240-8501, Japan. ORCID: https://orcid.org/0000-0003-2243-1584. Email: [email protected]
Postdoctoral Research Assistant, School of Science and Engineering, Univ. of Dundee, Nethergate, Dundee DD1 4HN, Scotland, UK. ORCID: https://orcid.org/0000-0002-3952-5061. Email: [email protected]

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