Determining Aggregate Grain Size Using Discrete-Element Models of Sieve Analysis
Publication: International Journal of Geomechanics
Volume 19, Issue 4
Abstract
The grain size of aggregate particles is crucial to the mixture gradation of discrete-element (DE) models when realistic aggregate shapes are simulated. The objective of this study was to answer the question of how to determine the grain size of aggregates using DE models based on virtual sieving analysis. First, virtual sieving analysis models were developed with prolate ellipsoid, oblate ellipsoid, and cubic-shaped particles, and virtual sieving was performed under three vibration patterns, namely, vertical, horizontal, and hybrid vibration. The influence and efficiency of the vibration patterns were analyzed based on the results of the virtual sieving analysis. Then, the virtual sieving analysis was conducted with realistic aggregate shapes. By analyzing the test results, the shape sieving factor () was derived and was used to calculate the grain size of individual particles. For further validation, the grain size () of selected aggregates was measured by lab manual measurement and virtual sieving analysis, separately. Then the test results were analyzed and compared. The main findings from this study include the following: (1) vibration patterns had significant impacts on the results of the virtual sieving analysis, and vertical vibration is recommended for virtual sieving analysis; (2) particle shapes had important impacts on the results of the virtual sieving analysis, and it was determined that aggregates with cubic shapes are relatively difficult to pass through the sieve meshes; (3) most particles can pass through smaller sieve apertures than their equivalent-volume spheres; (4) the approach to virtual sieving analysis developed in this study was validated by lab sieving tests, and the shape sieving factor () derived from the virtual sieving analysis can be used to generate DE models with more accurate gradation.
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Acknowledgments
This research was supported by the Special Fund for Basic Scientific Research of Central Colleges, Chang'an University (310821162011); the Excellent Doctoral Dissertation Fostering Project, Chang'an University (310821175003); and Technology of China (2014BAG05B04). This material is also based in part on work supported by the National Natural Science Foundation of China (51208048 and 51308228).
References
Abbas, A., E. Masad, T. Papagiannakis, and T. Harman. 2007. “Micromechanical modeling of the viscoelastic behavior of asphalt mixtures using the discrete-element method.” Int. J. Geomech. 7 (2): 131–139. https://doi.org/10.1061/(ASCE)1532-3641(2007)7:2(131).
Altuhafi, F., C. O’Sullivan, and I. Cavarretta. 2013. “Analysis of an image-based method to quantify the size and shape of sand particles.” J. Geotech. Geoenviron. Eng. 139 (8): 1290–1307. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000855.
Benedetto, H. D., B. Delaporte, and C. Sauzéat. 2007. “Three-dimensional linear behavior of bituminous materials: Experiments and modeling.” Int. J. Geomech. 7 (2): 149–157. https://doi.org/10.1061/(ASCE)1532-3641(2007)7:2(149).
Bruno, L., G. Parla, and C. Celauro. 2012. “Image analysis for detecting aggregate gradation in asphalt mixture from planar images.” Constr. Build. Mater. 28 (1): 21–30. https://doi.org/10.1016/j.conbuildmat.2011.08.007.
Buechler, S. R., J. R. Berger, and G. G. W. Mustoe. 2013. “A discrete element approach to elastic properties of layered geomaterials.” Int. J. Numer. Anal. Methods Geomech. 37 (7): 685–700. https://doi.org/10.1002/nag.1115.
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).
Duan, Y.-H., and X.-N. Zhang. 2012. “3-dimensional virtual sieve analysis of coarse aggregate of concrete based on CT scan image.” J. Jilin Univ. (Eng. Technol. Ed.) 42 (4): 918–923.
Falagush, O., G. R. McDowell, and H.-S. Yu. 2015. “Discrete element modeling of cone penetration tests incorporating particle shape and crushing.” Int. J. Geomech. 15 (6): 04015003. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000463.
Fu, Y., L. Wang, M. T. Tumay, and Q. Li. 2008. “Quantification and simulation of particle kinematics and local strains in granular materials using X-ray tomography imaging and discrete-element method.” J. Eng. Mech. 134 (2): 143–154. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:2(143).
Gong, F., Y. Liu, Z. You, and S. Yao. 2016. “A MATLAB program for Fourier analysis and evaluation on mineral aggregate morphological features.” In Proc., 1st Int. Conf. on Transportation Infrastructure and Materials. Lancaster, PA: DEStech.
Gu, M., J. Han, and M. Zhao. 2017. “Three-dimensional discrete-element method analysis of stresses and deformations of a single geogrid-encased stone column.” Int. J. Geomech. 17 (9): 04017070. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000952.
Hardin, B. O. 1985. “Crushing of soil particles.” J. Geotech. Eng. 111 (10): 1177–1192. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:10(1177).
Hu, J., Z. Qian, D. Wang, and M. Oeser. 2015. “Influence of aggregate particles on mastic and air-voids in asphalt concrete.” Constr. Build. Mater. 93: 1–9. https://doi.org/10.1016/j.conbuildmat.2015.05.031.
Jin, C., X. Yang, and Z. You. 2017. “Automated real aggregate modelling approach in discrete element method based on X-ray computed tomography images.” Int. J. Pavement Eng. 18 (9): 837–850. https://doi.org/10.1080/10298436.2015.1066006.
Kuity, A., and A. Das. 2016. “Study on aggregate size distribution in asphalt mix using images obtained by different imaging techniques.” Transp. Res. Procedia 17: 340–348. https://doi.org/10.1016/j.trpro.2016.11.105.
Liu, Y., Q. Dai, and Z. You. 2009. “Viscoelastic model for discrete element simulation of asphalt mixtures.” J. Eng. Mech. 135 (4): 324–333. https://doi.org/10.1061/(ASCE)0733-9399(2009)135:4(324).
Liu, Y., F. Gong, Z. You, and H. Wang. 2018. “Aggregate morphological characterization with 3D optical scanner versus x-ray computed tomography.” J. Mater. Civ. Eng. 30 (1): 04017248. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002091.
Liu, Y., and Z. You. 2009. “Visualization and simulation of asphalt concrete with randomly generated three-dimensional models.” J. Comput. Civ. Eng. 23 (6): 340–347. https://doi.org/10.1061/(ASCE)0887-3801(2009)23:6(340).
Liu, Y., and Z. You. 2011. “Discrete-element modeling: Impacts of aggregate sphericity, orientation, and angularity on creep stiffness of idealized asphalt mixtures.” J. Eng. Mech. 137 (4): 294–303. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000228.
Liu, Y., X. Zhou, Z. You, S. Yao, F. Gong, and H. Wang. 2017. “Discrete element modeling of realistic particle shapes in stone-based mixtures through MATLAB-based imaging process.” Constr. Build. Mater. 143: 169–178. https://doi.org/10.1016/j.conbuildmat.2017.03.037.
Lobo-Guerrero, S., and L. E. Vallejo. 2006. “Modeling granular crushing in ring shear tests: Experimental and numerical analyses.” Soils Found. 46 (2): 147–157. https://doi.org/10.3208/sandf.46.147.
Masad, E., V. K. Jandhyala, N. Dasgupta, N. Somadevan, and N. Shashidhar. 2002. “Characterization of air void distribution in asphalt mixes using X-ray computed tomography.” J. Mater. Civ. Eng. 14 (2): 122–129. https://doi.org/10.1061/(ASCE)0899-1561(2002)14:2(122).
Masad, E., B. Muhunthan, N. Shashidhar, and T. Harman. 1999. “Internal structure characterization of asphalt concrete using image analysis.” J. Comput. Civ. Eng. 13 (2): 88–95. https://doi.org/10.1061/(ASCE)0887-3801(1999)13:2(88).
Mora, C. F., A. K. H. Kwan, and H. C. Chan. 1998. “Particle size distribution analysis of coarse aggregate using digital image processing.” Cem. Concr. Res. 28 (6): 921–932. https://doi.org/10.1016/S0008-8846(98)00043-X.
O’Sullivan, C. 2011. “Particle-based discrete element modeling: Geomechanics perspective.” Int. J. Geomech. 11 (6): 449–464. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000024.
Piotrowska, E., Y. Malecot, and Y. Ke. 2014. “Experimental investigation of the effect of coarse aggregate shape and composition on concrete triaxial behavior.” Mech. Mater. 79: 45–57. https://doi.org/10.1016/j.mechmat.2014.08.002.
Rao, C., and E. Tutumluer. 2000. “Determination of volume of aggregates: New image-analysis approach.” Transp. Res. Rec. 1721 (1): 73–80. https://doi.org/10.3141/1721-09.
Rao, C., E. Tutumluer, and I. T. Kim. 2002. “Quantification of coarse aggregate angularity based on image analysis.” Transp. Res. Rec. 1787 (1): 117–124. https://doi.org/10.3141/1787-13.
Rao, C., E. Tutumluer, and J. A. Stefanski. 2001. “Coarse aggregate shape and size properties using a new image analyzer.” J. Test. Eval. 29 (5): 461–471. https://doi.org/10.1520/JTE12276J.
Tollner, E. W., N. D. Melear, L. A. Rodriguez, and M. E. Wright. 1998. “Soil aggregate size distributions using X-ray images.” Trans. ASAE 41 (4): 1207–1215. https://doi.org/10.13031/2013.17246.
Tutumluer, E., H. Huang, and X. Bian. 2012. “Geogrid-aggregate interlock mechanism investigated through aggregate imaging-based discrete element modeling approach.” Int. J. Geomech. 12 (4): 391–398. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000113.
Walraven, J. C. 1981. “Fundamental analysis of aggregate interlock.” J. Struct. Div. 107 (11): 2245–2270.
Wouterse, A., S. R. Williams, and A. P. Philipse. 2007. “Effect of particle shape on the density and microstructure of random packings.” J. Phys.: Condens. Matter 19 (40): 406215. https://doi.org/10.1088/0953-8984/19/40/406215.
Xiao, Y., and H. Liu. 2017. “Elastoplastic constitutive model for rockfill materials considering particle breakage.” Int. J. Geomech. 17 (1): 04016041. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000681.
Xiao, Y., H. Liu, Q. Chen, L. Long, and J. Xiang. 2017. “Evolution of particle breakage and volumetric deformation of binary granular soils under impact load.” Granular Matter 19 (4): 71. https://doi.org/10.1007/s10035-017-0756-z.
Xiao, Y., H. Liu, C. S. Desai, Y. Sun, and H. Liu. 2016. “Effect of intermediate principal-stress ratio on particle breakage of rockfill material.” J. Geotech. Geoenviron. Eng. 142 (4): 06015017. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001433.
Xiao, Y., and E. Tutumluer. 2017. “Gradation and packing characteristics affecting stability of granular materials: Aggregate imaging-based discrete element modeling approach.” Int. J. Geomech. 17 (3): 04016064. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000735.
You, L., Z. You, Q. Dai, S. Guo, J. Wang, and M. Schultz. 2018. “Characteristics of water-foamed asphalt mixture under multiple freeze-thaw cycles: Laboratory evaluation.” J. Mater. Civ. Eng. 30 (11): 04018270. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002474.
You, L., Z. You, and K. Yan. 2019. “Effect of anisotropic characteristics on the mechanical behavior of asphalt concrete overlay.” Front. Struct. Civ. Eng. 13 (1): 110–122. https://doi.org/10.1007/s11709-018-0476-4.
You, Z., S. Adhikari, and Q. Dai. 2008. “Three-dimensional discrete element models for asphalt mixtures.” J. Eng. Mech. 134 (12): 1053–1063. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:12(1053).
Zhang, X., C. Zhao, and W. Zhai. 2017. “Dynamic behavior analysis of high-speed railway ballast under moving vehicle loads using discrete element method.” Int. J. Geomech. 17 (7): 04016157. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000871.
Zhou, X., Y. Liu and Z. You. 2016. “Discrete element modeling for sieve analysis with image-based realistic aggregate.” In Proc., 1st Int. Conf. on Transportation Infrastructure and Materials, 916–923. Lancaster, PA: DEStech.
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Published In
International Journal of Geomechanics
Volume 19 • Issue 4 • April 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: Mar 15, 2018
Accepted: Sep 17, 2018
Published online: Jan 30, 2019
Published in print: Apr 1, 2019
Discussion open until: Jun 30, 2019
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