Abstract
Coordination number (CN) is a fundamental microscale variable in soils affecting the macroscale parameters of the material such as porosity, stiffness under loading, and stability under hydraulic gradients. However, most studies on CN have focused on sphere or ellipsoid packings using the discrete element method (DEM). By means of computed tomography (CT) and image-processing techniques, this work rigorously computes the three-dimensional (3D) sphericity and roundness of each grain in five sands and investigates the impact of particle shape on CN. The results show that the average coordination number () of different sands and the CN of grains within a given sand may be impacted differently by particle shape. For a given equivalent diameter of a given sand, more irregular grain packings show a subtle higher CN, and this change in CN increases with increasing grain size. However, air-pluviated irregular particle packings with poor gradation may exhibit lower average because of particle orientational alignment, particle interlocking, and surface roughness.
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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 request.
Acknowledgments
The Imaging and Medical Beam Line (IMBL) at the Australian Synchrotron, Dr. A. Maksimenko, and other beam scientists are acknowledged for their support. The first author thanks The University of Melbourne for offering the Melbourne Research Scholarship.
References
Ahmed, Z., and M. Lebedev. 2019. “Elastic properties of sands, Part 1: Micro computed tomography image analysis of grain shapes and their relationship with microstructure.” Geophys. Prospect. 67 (4): 723–744. https://doi.org/10.1111/1365-2478.12652.
ASTM. 2017. Standard specification for standard sand. ASTM C778-17. West Conshohocken, PA: ASTM.
Cho, G., J. Dodds, and J. Santamarina. 2006. Particle shape effects on packing density, stiffness and strength of natural and crushed sands. Atlanta: Georgia Institute of Technology.
Delaney, G. W., and P. W. Cleary. 2010. “The packing properties of superellipsoids.” Europhys. Lett. 89 (3): 34002. https://doi.org/10.1209/0295-5075/89/34002.
Donev, A., I. Cisse, D. Sachs, E. A. Variano, F. H. Stillinger, R. Connelly, S. Torquato, and P. M. Chaikin. 2004. “Improving the density of jammed disordered packings using ellipsoids.” Science 303 (5660): 990–993. https://doi.org/10.1126/science.1093010.
Druckrey, A., K. Alshibli, and R. Al-Raoush. 2017. “Discrete particle translation gradient concept to expose strain localisation in sheared granular materials using 3D experimental kinematic measurements.” Géotechnique 68 (2): 162–170. https://doi.org/10.1680/jgeot.16.P.148.
Fei, W., G. A. Narsilio, and M. M. Disfani. 2019a. “Impact of three-dimensional sphericity and roundness on heat transfer in granular materials.” Powder Technol. 355 (Oct): 770–781. https://doi.org/10.1016/j.powtec.2019.07.094.
Fei, W., G. A. Narsilio, J. H. van der Linden, and M. M. Disfani. 2019b. “Quantifying the impact of rigid interparticle structures on heat transfer in granular materials using networks.” Int. J. Heat Mass Transfer 143 (Nov): 118514. https://doi.org/10.1016/j.ijheatmasstransfer.2019.118514.
Fonseca, J., C. O’Sullivan, M. R. Coop, and P. Lee. 2012. “Non-invasive characterization of particle morphology of natural sands.” Soils Found. 52 (4): 712–722. https://doi.org/10.1016/j.sandf.2012.07.011.
Fonseca, J., C. O’Sullivan, M. R. Coop, and P. Lee. 2013. “Quantifying the evolution of soil fabric during shearing using directional parameters.” Géotechnique 63 (6): 487–499. https://doi.org/10.1680/geot.12.P.003.
Fonseca, J., W. Sim, T. Shire, and C. O’sullivan. 2014. “Microstructural analysis of sands with varying degrees of internal stability.” Géotechnique 64 (5): 405–411. https://doi.org/10.1680/geot.13.T.014.
Gan, J., Z. Zhou, and A. Yu. 2017. “Effect of particle shape and size on effective thermal conductivity of packed beds.” Powder Technol. 311 (Apr): 157–166. https://doi.org/10.1016/j.powtec.2017.01.024.
Hryciw, R. D., J. Zheng, and K. Shetler. 2016. “Particle roundness and sphericity from images of assemblies by chart estimates and computer methods.” J. Geotech. Geoenviron. Eng. 142 (9): 04016038. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001485.
Krumbein, W. C., and L. L. Sloss. 1951. “Stratigraphy and sedimentation.” Soil Sci. 71 (5): 401. https://doi.org/10.1097/00010694-195105000-00019.
Legland, D., I. Arganda-Carreras, and P. Andrey. 2016. “MorphoLibJ: Integrated library and plugins for mathematical morphology with ImageJ.” Bioinformatics 32 (22): 3532–3534. https://doi.org/10.1093/bioinformatics/btw413.
Minh, N., and Y. Cheng. 2013. “A DEM investigation of the effect of particle-size distribution on one-dimensional compression.” Géotechnique 63 (1): 44. https://doi.org/10.1680/geot.10.P.058.
Nadimi, S., J. Fonseca, E. Andò, and G. Viggiani. 2019. “A micro finite-element model for soil behaviour: Experimental evaluation for sand under triaxial compression.” Géotechnique 1–6. https://doi.org/10.1680/jgeot.18.T.030.
Otsu, N. 1979. “A threshold selection method from gray-level histograms.” IEEE Trans. Syst. Man Cybern. 9 (1): 62–66. https://doi.org/10.1109/TSMC.1979.4310076.
Persson, B., O. Albohr, U. Tartaglino, A. Volokitin, and E. Tosatti. 2004. “On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion.” J. Phys.: Condens. Matter 17 (1): R1. https://doi.org/10.1088/0953-8984/17/1/R01.
Rorato, R., M. Arroyo, E. Andò, and A. Gens. 2019. “Sphericity measures of sand grains.” Eng. Geol. 254 (May): 43–53. https://doi.org/10.1016/j.enggeo.2019.04.006.
Schindelin, J., I. Arganda-Carreras, E. Frise, V. Kaynig, M. Longair, T. Pietzsch, S. Preibisch, C. Rueden, S. Saalfeld, and B. Schmid. 2012. “Fiji: An open-source platform for biological-image analysis.” Nat. Methods 9 (7): 676. https://doi.org/10.1038/nmeth.2019.
Shire, T., and C. O’Sullivan. 2013. “Micromechanical assessment of an internal stability criterion.” Acta Geotech. 8 (1): 81–90. https://doi.org/10.1007/s11440-012-0176-5.
Sneed, E. D., and R. L. Folk. 1958. “Pebbles in the lower Colorado River, Texas a study in particle morphogenesis.” J. Geol. 66 (2): 114–150. https://doi.org/10.1086/626490.
Taubin, G. 1995. “Curve and surface smoothing without shrinkage.” In Proc., 5th Int. Conf. on Computer Vision, 852–857. New York: IEEE.
Wadell, H. 1932. “Volume, shape, and roundness of rock particles.” J. Geol. 40 (5): 443–451. https://doi.org/10.1086/623964.
Wang, J., S. Wu, L. Zhao, W. Wang, J. Wei, and J. Sun. 2019. “An effective method for shear-wave velocity prediction in sandstones.” Mar. Geophys. Res. 40 (4): 655–664. https://doi.org/10.1007/s11001-019-09396-4.
Wiebicke, M., E. Andò, I. Herle, and G. Viggiani. 2017. “On the metrology of interparticle contacts in sand from x-ray tomography images.” Meas. Sci. Technol. 28 (12): 124007. https://doi.org/10.1088/1361-6501/aa8dbf.
Zhao, S., N. Zhang, X. Zhou, and L. Zhang. 2017. “Particle shape effects on fabric of granular random packing.” Powder Technol. 310 (Apr): 175–186. https://doi.org/10.1016/j.powtec.2016.12.094.
Zhou, Z.-Y., R.-P. Zou, D. Pinson, and A.-B. Yu. 2011. “Dynamic simulation of the packing of ellipsoidal particles.” Ind. Eng. Chem. Res. 50 (16): 9787–9798. https://doi.org/10.1021/ie200862n.
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© 2020 American Society of Civil Engineers.
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Received: Jan 29, 2020
Accepted: Jun 26, 2020
Published online: Sep 25, 2020
Published in print: Dec 1, 2020
Discussion open until: Feb 25, 2021
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