Technical Papers
Dec 30, 2020

Influence of Particle Size Distribution on the Proportion of Stress-Transmitting Particles and Implications for Measures of Soil State

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 147, Issue 3

Abstract

It is generally accepted that the use of void ratio and bulk density as measures of soil state have limitations in the case of gap-graded soils because the finer grains may not transmit stress. However, no research has explored systematically whether this issue also emerges for soils with continuous gradings. Building on a number of experimental and discrete-element method (DEM) studies that have considered the idea of an effective void ratio for gap-graded or bimodal soils, this paper extended consideration of this concept to a broader range of particle-size distributions. By exploiting high-performance computers, this study considered a range of ideal isotropically compressed samples of spherical particles with linear, fractal, and gap-graded (bimodal and trimodal) particle-size distributions. The materials’ initial packing densities were controlled by varying the interparticle coefficient of friction. The results showed that even for soils with continuous particle-size distributions, a significant proportion of the finer particles may not transmit stress, i.e., they may be inactive. Drawing on ideas put forward in relation to gap-graded soils, both a mechanical void ratio and mechanical bulk density that consider the inactive grains as part of the void space were determined. Even for the linear and fractal gradings considered here, the difference between the conventional measures and the mechanical measures was finite and density dependent. The difference was measurably larger in the looser samples considered. These data highlight a conceptual/fundamental limitation of using the global void ratio as a measure of state in expressions to predict granular material behavior.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

All simulations were carried out using the high-performance computing (HPC) facilities at Imperial College London. Deyun Liu’s doctoral research is funded by China Scholarship Council and an Imperial College Dixon Scholarship.

References

Agnolin, I., and J.-N. Roux. 2007. “Internal states of model isotropic granular packings. III: Elastic properties.” Phys. Rev. E 76 (6): 61304. https://doi.org/10.1103/PhysRevE.76.061304.
Artigaut, M., A. Sufian, X. Ding, T. Shire, and C. O’Sullivan. 2019. “Influence of stress anisotropy on stress distributions in gap-graded soils.” In Vol. 92 of Proc., E3S Web Conf., 14007. Les Ulis, France: EDP Sciences. https://doi.org/10.1051/e3sconf/20199214007.
Barreto, D. 2008. “Numerical and experimental investigation into the behaviour of granular materials under generalised stress states.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Imperial College London.
Carraro, J. A. H., M. Prezzi, and R. Salgado. 2009. “Shear strength and stiffness of sands containing plastic or non plastic fines.” J. Geotech. Geoenviron. Eng. 135 (9): 1167–1178. https://doi.org/10.1061/(ASCE)1090-0241(2009)135:9(1167).
Carrera, A., M. Coop, and R. Lancellotta. 2011. “Influence of grading on the mechanical behavior of Stava tailings.” Géotechnique 61 (11): 935–946. https://doi.org/10.1680/geot.9.P.009.
Chang, C. S., and C. L. Liao. 1994. “Estimates of elastic modulus for media of randomly packed granules.” Appl. Mech. Rev. 47 (1): 197–206. https://doi.org/10.1115/1.3122814.
Cho, G.-C., J. Dodds, and J. C. Santamarina. 2006. “Particle shape effects on packing density, stiffness, and strength: Natural and crushed sands.” J. Geotech. Geoenviron. Eng. 132 (5): 591–602. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:5(591).
Cundall, P. A. 1988. “Computer simulations of dense sphere assemblies.” Stud. Appl. Mech. 20 (Jan):113–123. https://doi.org/10.1016/B978-0-444-70523-5.50021-7.
Dutta, T. 2019. “Effects of grain characteristics on the anisotropic mechanical properties evaluated by elastic waves.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Tokyo.
Hardin, B. O., and W. L. Black. 1966. “Sand stiffness under various triaxial stresses.” J. Soil Mech. Found. Div., ASCE 92: 27–42.
Huang, X., C. O’Sullivan, K. J. Hanley, and C. Y. Kwok. 2014. “Discrete-element method analysis of the state parameter.” Géotechnique 64 (12): 954–965. https://doi.org/10.1680/geot.14.P.013.
Jamiolkowski, M., R. Lancellotta, and D. C. F. Lo Presti. 1995. “Remarks on the stiffness at small strains of six Italian clays.” In Vol. 2 of Proc., of the Int. Symp. on Pre-Failure Deformation of Geomaterials, 817–836. Rotterdam, Netherlands: A.A. Balkema.
Lings, M. L. 2001. “Drained and undrained anisotropic elastic stiffness parameters.” Géotechnique 51 (6): 555–565. https://doi.org/10.1680/geot.2001.51.6.555.
Mitchell, J. K. 1976. Fundamentals of soil behavior. New York: Wiley.
Nguyen, H., and C. O’Sullivan. 2019. “Linking macro-scale yielding and micro-scale response.” In Vol. 92 of Proc., E3S Web of Conf., 14008. Les Ulis, France: EDP Sciences. https://doi.org/10.1051/e3sconf/20199214008.
Nguyen, H. C., C. O’Sullivan, and M. Otsubo. 2018. “Discrete element method analysis of small-strain stiffness under anisotropic stress states.” Géotechnique Lett. 8 (3): 183–189. https://doi.org/10.1680/jgele.17.00122.
Ni, Q., T. S. Tan, G. R. Dasari, and D. W. Hight. 2005. “Contribution of fines to the compressive strength of mixed soils.” Géotechnique 54 (9): 561–569. https://doi.org/10.1680/geot.2004.54.9.561.
Otsubo, M. 2016. “Particle scale analysis of soil stiffness and elastic wave propagation.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Imperial College London.
Plimpton, S. 1995. “Fast parallel algorithms for short-range molecular dynamics.” J. Comput. Phys. 117 (1): 1–19. https://doi.org/10.1006/jcph.1995.1039.
Rahman, M. M., and S. R. Lo. 2008. “The prediction of equivalent granular steady state line of loose sand with fines.” Geomech. Geoeng. 3 (3): 179–190. https://doi.org/10.1080/17486020802206867.
Rahman, M. M., S.-C. R. Lo, and Y. F. Dafalias. 2014. “Modelling the static liquefaction of sand with low-plasticity fines.” Géotechnique 64 (11): 881–894. https://doi.org/10.1680/geot.14.P.079.
Rahman, M. M., S. R. Lo, and C. T. Gnanendran. 2008. “On equivalent granular void ratio and steady state behavior of loose sand with fines.” Can. Geotech. J. 45 (10): 1439–1456. https://doi.org/10.1139/T08-064.
Shen, C. K., J. L. Vrymoed, and C. K. Uyeno. 1977. “The effect of fines on liquefaction of sands.” In Proc., 9th Int. Conf. on Soil Mechanics and Foundation Engineering, 381–385. Tokyo: International Society of Soil Mechanics.
Shire, T., and C. O’Sullivan. 2016. “Constriction size distributions of granular filters: A numerical study.” Géotechnique 66 (10): 826–839. https://doi.org/10.1680/jgeot.15.P.215.
Shire, T., C. O’Sullivan, and K. J. Hanley. 2016. “The influence of fines content and size-ratio on the micro-scale properties of dense bimodal materials.” Granular Matter 18 (3): 52. https://doi.org/10.1007/s10035-016-0654-9.
Shire, T., C. O’Sullivan, K. J. Hanley, and R. J. Fannin. 2014. “Fabric and effective stress distribution in internally unstable soils.” J. Geotech. Geoenviron. Eng. 140 (12): 04014072. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001184.
Skempton, A. W., and J. M. Brogan. 1994. “Experiments on piping in sandy gravels.” Géotechnique 44 (3): 449–460. https://doi.org/10.1680/geot.1994.44.3.449.
Thevanayagam, S. 2000. “Liquefaction potential and undrained fragility of silty soils.” In Proc., 12th World Conf. on Earthquake Engineering, edited by R. Park, 1–8. Upper Hutt, New Zealand: Society of Earthquake Engineering.
Thevanayagam, S., and S. Mohan. 2000. “Intergranular state variables and stress–strain behavior of silty sands.” Géotechnique 50 (1): 1–23. https://doi.org/10.1680/geot.2000.50.1.1.
Thevanayagam, S., T. Shenthan, S. Mohan, and J. Liang. 2002. “Undrained fragility of clean sands, silty sands, and sandy silts.” J. Geotech. Geoenviron. Eng. 128 (10): 849–859. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:10(849).
Thornton, C. 2000. “Numerical simulations of deviatoric shear deformation of granular media.” Géotechnique 50 (1): 43–53. https://doi.org/10.1680/geot.2000.50.1.43.
Tyler, S. W., and S. W. Wheatcraft. 1992. “Fractal scaling of soil particle-size distributions: Analysis and limitations.” Soil Sci. Soc. Am. J. 56 (2): 362–369. https://doi.org/10.2136/sssaj1992.03615995005600020005x.
Yang, J., and X. Liu. 2016. “Shear wave velocity and stiffness of sand: the role of non-plastic fines.” Géotechnique 66 (6): 500–514. https://doi.org/10.1680/jgeot.15.P.205.
Yang, J., L. M. Wei, and B. B. Dai. 2015. “State variables for silty sands: Global void ratio or skeleton void ratio?” Soils Found. 55 (1): 99–111. https://doi.org/10.1016/j.sandf.2014.12.008.
Yimsiri, S., and K. Soga. 2000. “Micromechanics-based stress–strain behavior of soils at small strains.” Géotechnique 50 (5): 559–571. https://doi.org/10.1680/geot.2000.50.5.559.
Youd, T. L. 1973. “Factors controlling maximum and minimum densities of sands.” In Evaluation of relative density and its role in geotechnical projects involving cohesionless soils. West Conshohocken, PA: ASTM.
Zhao, S., T. M. Evans, and X. Zhou. 2018. “Effects of curvature-related DEM contact model on the macro- and micro-mechanical behaviors of granular soils.” Géotechnique 68 (12): 1085–1098. https://doi.org/10.1680/jgeot.17.P.158.
Zhao, S., J. Zhao, and N. Guo. 2020. “Universality of internal structure characteristics in granular media under shear.” Phys. Rev. E 101 (1): 12906. https://doi.org/10.1103/PhysRevE.101.012906.
Zuo, L., and B. A. Baudet. 2015. “Determination of the transitional fines content of sand-non plastic fines mixtures.” Soils Found. 55 (1): 213–219. https://doi.org/10.1016/j.sandf.2014.12.017.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 147Issue 3March 2021

History

Received: Apr 15, 2020
Accepted: Oct 20, 2020
Published online: Dec 30, 2020
Published in print: Mar 1, 2021
Discussion open until: May 30, 2021

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Ph.D. Student, Dept. of Civil and Environmental Engineering, Imperial College London, London SW7 2AX. Email: [email protected]
Professor of Particulate Soil Mechanics, Dept. of Civil and Environmental Engineering, Imperial College London, London SW7 2AX (corresponding author). ORCID: https://orcid.org/0000-0002-0935-1910. Email: [email protected]
Senior Lecturer in Experimental Geotechnical Engineering, Dept. of Civil and Environmental Engineering, Imperial College London, London SW7 2AX. ORCID: https://orcid.org/0000-0002-4648-3859. Email: [email protected]

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