Technical Papers
Apr 28, 2021

Particle Breakage Effect on Compression Behavior of Realistic Granular Assembly

Publication: International Journal of Geomechanics
Volume 21, Issue 7

Abstract

A numerical investigation of the effect of particle breakage on the one-dimensional compression behavior of a realistic granular assembly was carried out using the discrete-element method. The morphologies of sands were obtained using X-ray microcomputed tomography. Sand assemblies were generated in terms of the statistical distribution of sphericity from real sands. The results of single-particle compression tests showed that particle shape significantly affects crushing strength. Particle breakage had a significant influence on compressive deformation, as demonstrated by comparing breakable assemblies with unbreakable ones. The strong force distribution became broader, and the proportion of weak force increased with particle breakability. Looser samples underwent much more particle breakage than did denser samples. It was found that breakage dissipation was a small fraction of energy input compared with frictional dissipation. An excellent hyperbolic relationship between relative breakage and energy input was found, which was independent of initial void ratio.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors gratefully acknowledge support received from the National Key Research and Development Program of China (Grant No. 2016YFC0600904), the National Natural Science Foundation of China (Grant No. 51804300), and the China Postdoctoral Science Foundation (Grant No. 2018M632418). The authors also thank the anonymous reviewers, whose comments significantly improved the manuscript.

References

Asahina, D., and M. A. Taylor. 2011. “Geometry of irregular particles: Direct surface measurements by 3-D laser scanner.” Powder Technol. 213 (1–3): 70–78. https://doi.org/10.1016/j.powtec.2011.07.008.
Bolton, M. D., Y. Nakata, and Y. P. Cheng. 2008. “Micro- and macro-mechanical behaviour of DEM crushable materials.” Géotechnique 58 (6): 471–480. https://doi.org/10.1680/geot.2008.58.6.471.
Cavarretta, I., C. O’Sullivan, and M. R. Coop. 2017. “The relevance of roundness to the crushing strength of granular materials.” Géotechnique 67 (4): 301–312. https://doi.org/10.1680/jgeot.15.P.226.
Cheng, Y. P., Y. Nakata, and M. D. Bolton. 2003. “Discrete element simulation of crushable soil.” Géotechnique 53 (7): 633–641. https://doi.org/10.1680/geot.2003.53.7.633.
Chuhan, F. A., A. Kjeldstad, K. Bjørlykke, and K. Høeg. 2002. “Porosity loss in sand by grain crushing—experimental evidence and relevance to reservoir quality.” Mar. Pet. Geol. 19 (1): 39–53. https://doi.org/10.1016/S0264-8172(01)00049-6.
Cil, M. B., and K. A. Alshibli. 2014. “3D evolution of sand fracture under 1D compression.” Géotechnique 64 (5): 351–364. https://doi.org/10.1680/geot.13.P.119.
Cundall, P. A., and O. A. L. Strack. 1979. “A discrete numerical model for granular assemblies.” Géotechnique 29 (1): 47–65. https://doi.org/10.1680/geot.1979.29.1.47.
De Beer, E. E. 1963. “The scale effect in the transposition of the results of deep-sounding tests on the ultimate bearing capacity of piles and caisson foundations.” Géotechnique 13 (1): 39–75. https://doi.org/10.1680/geot.1963.13.1.39.
De Bono, J. P., and G. R. McDowell. 2014. “DEM of triaxial tests on crushable sand.” Granular Matter 16 (4): 551–562. https://doi.org/10.1007/s10035-014-0500-x.
De Bono, J. P, and G. R. McDowell. 2016. “Particle breakage criteria in discrete-element modelling.” Géotechnique 66 (12): 1014–1027. https://doi.org/10.1680/jgeot.15.P.280.
Fonseca, J., C. O’Sullivan, M. R. Coop, and P. D. 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.
Fu, R., X. Hu, and B. Zhou. 2017. “Discrete element modeling of crushable sands considering realistic particle shape effect.” Comput. Geotech. 91: 179–191. https://doi.org/10.1016/j.compgeo.2017.07.016.
Gao, Y., and Y. H. Wang. 2014. “Experimental and DEM examinations of K0 in sand under different loading conditions.” J. Geotech. Geoenviron. Eng. 140 (5): 04014012. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001095.
Gu, X., J. Hu, M. Huang, and J. Yang. 2018. “Discrete element analysis of the K0 of granular soil and its relation to small strain shear stiffness.” Int. J. Geomech. 18 (3): 06018003. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001102.
Guida, G., F. Casini, G. M. B. Viggiani, E. Ando, and G. Viggiani. 2018. “Breakage mechanisms of highly porous particles in 1D compression revealed by X-ray tomography.” Géotech. Lett. 8 (2): 155–160. https://doi.org/10.1680/jgele.18.00035.
Hagerty, M. M., D. R. Hite, C. R. Ullrich, and D. J. Hagerty. 1993. “One-dimensional high-pressure compression of granular media.” J. Geotech. Eng. 119 (1): 1–18. https://doi.org/10.1061/(ASCE)0733-9410(1993)119:1(1).
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).
Harireche, O., and G. R. McDowell. 2003. “Discrete element modelling of cyclic loading of crushable aggregates [sic].” Granular Matter 5 (3): 147–151. https://doi.org/10.1007/s10035-003-0143-9.
Hosseininia, E. S., and A. A. Mirghasemi. 2006. “Numerical simulation of breakage of two-dimensional polygon-shaped particles using discrete element method.” Powder Technol. 166 (2): 100–112. https://doi.org/10.1016/j.powtec.2006.05.006.
Huang, J., S. Xu, and S. Hu. 2014. “Influence of particle breakage on the dynamic compression responses of brittle granular materials.” Mech. Mater. 68: 15–28. https://doi.org/10.1016/j.mechmat.2013.08.002.
Hyodo, M., Y. Wu, N. Aramaki, and Y. Nakata. 2017. “Undrained monotonic and cyclic shear response and particle crushing of silica sand at low and high pressures.” Can. Geotech. J. 54 (2): 207–218. https://doi.org/10.1139/cgj-2016-0212.
Jamiolkowski, M., L. Kongsukprasert, and D. Lo Presti. 2004. “Characterization of gravelly geomaterials.” In Proc., 15th Int. Geotechnical Conf., 29–56. Lahore, Pakistan: Pakistan Geotechnical Engineering Society (PGES).
Jia, Y., B. Xu, S. Chi, B. Xiang, and Y. Zhou. 2017. “Research on the particle breakage of rockfill materials during triaxial tests.” Int. J. Geomech. 17 (10): 04017085. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000977.
Lade, P. V., J. A. Yamamuro, and P. A. Bopp. 1996. “Significance of particle crushing in granular materials.” J. Geotech. Eng. 122 (4): 309–316. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:4(309).
Latham, J. P., A. Munjiza, X. Garcia, J. S. Xiang, and R. Guises. 2008. “Three-dimensional particle shape acquisition and use of shape library for DEM and FEM/DEM simulation.” Miner. Eng. 21 (11): 797–805. https://doi.org/10.1016/j.mineng.2008.05.015.
Li, M., A. Li, J. Zhang, Y. Huang, and J. Li. 2020. “Effects of particle sizes on compressive deformation and particle breakage of gangue used for coal mine goaf backfill.” Powder Technol. 360: 493–502. https://doi.org/10.1016/j.powtec.2019.10.075.
Lin, J., E. Bauer, and W. Wu. 2020. “A combined method to model grain crushing with DEM.” Geosci. Front. 11 (2): 451–459. https://doi.org/10.1016/j.gsf.2019.02.011.
Lirer, S., A. Flora, and M. V. Nicotera. 2011. “Some remarks on the coefficient of earth pressure at rest in compacted sandy gravel.” Acta Geotech. 6 (1): 1–12. https://doi.org/10.1007/s11440-010-0131-2.
Liu, H., K. Zeng, and Y. Zou. 2020a. “Particle breakage of calcareous sand and its correlation with input energy.” Int. J. Geomech. 20 (2): 04019151. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001541.
Liu, H., and D. Zou. 2013. “Associated generalized plasticity framework for modeling gravelly soils considering particle breakage.” J. Eng. Mech. 139 (5): 606–615. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000513.
Liu, Y., A. Deng, and M. Jaksa. 2020b. “Three-Dimensional discrete-element modeling of geocell-reinforced ballast considering breakage.” Int. J. Geomech. 20 (4): 04020032. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001552.
Liu, Y., H. Liu, and H. Mao. 2017. “DEM investigation of the effect of intermediate principle stress on particle breakage of granular materials.” Comput. Geotech. 84: 58–67. https://doi.org/10.1016/j.compgeo.2016.11.020.
Luzzani, L., and M. R. Coop. 2002. “On the relationship between particle breakage and the critical state of sands.” Soils Found. 42 (2): 71–82. https://doi.org/10.3208/sandf.42.2_71.
Ma, G., Y. Chen, F. Yao, W. Zhou, and Q. Wang. 2019. “Evolution of particle size and shape towards a steady state: Insights from FDEM simulations of crushable granular materials.” Comput. Geotech. 112: 147–158. https://doi.org/10.1016/j.compgeo.2019.04.022.
Ma, G., W. Zhou, R. Regueiro, Q. Wang, and X. Chang. 2017. “Modeling the fragmentation of rock grains using computed tomography and combined FDEM.” Powder Technol. 308: 388–397. https://doi.org/10.1016/j.powtec.2016.11.046.
McDowell, G. R. 2002. “On the yielding and plastic compression of sand.” Soils Found. 42 (1): 139–145. https://doi.org/10.3208/sandf.42.139.
McDowell, G. R., and A. Amon. 2000. “The application of Weibull statistics to the fracture of soil particles.” Soils Found. 40 (5): 133–141. https://doi.org/10.3208/sandf.40.5_133.
McDowell, G. R., and J. P. De Bono. 2013. “On the micro mechanics of one-dimensional normal compression.” Géotechnique 63 (11): 895–908. https://doi.org/10.1680/geot.12.P.041.
McDowell, G. R., Y. Nakata, and M. Hyodo. 2002. “On the plastic hardening of sand.” Géotechnique 52 (5): 349–358. https://doi.org/10.1680/geot.52.5.349.38707.
Nakata, Y., A. F. L. Hyde, M. Hyodo, and H. Murata. 1999. “A probabilistic approach to sand particle crushing in the triaxial test.” Géotechnique 49 (5): 567–583. https://doi.org/10.1680/geot.1999.49.5.567.
Nakata, Y., M. Hyodo, A. F. L. Hyde, Y. Kato, and H. Murata. 2001a. “Microscopic particle crushing of sand subjected to high pressure one-dimensional compression.” Soils Found. 41 (1): 69–82. https://doi.org/10.3208/sandf.41.69.
Nakata, Y., Y. Kato, M. Hyodo, A. F. L. Hyde, and H. Murata. 2001b. “One-dimensional compression behaviour of uniformly graded sand related to single particle crushing strength.” Soils Found. 41 (2): 39–51. https://doi.org/10.3208/sandf.41.2_39.
Pestana, J. M., and A. J. Whittle. 1995. “Compression model for cohesionless soils.” Géotechnique 45 (4): 611–631. https://doi.org/10.1680/geot.1995.45.4.611.
Robertson, D., and M. D. Bolton. 2001. “DEM simulations of crushable grains and soils.” In Proc. 4th Int. Conf. on Micromechanics of Granular Media, Powders and Grains, Sendai, Japan, 623–626.
Rorato, R., M. Arroyo, E. Andò, and A. Gens. 2019. “Sphericity measures of sand grains.” Eng. Geol. 254: 43–53. https://doi.org/10.1016/j.enggeo.2019.04.006.
Shahnazari, H., and R. Rezvani. 2013. “Effective parameters for the particle breakage of calcareous sands: An experimental study.” Eng. Geol. 159: 98–105. https://doi.org/10.1016/j.enggeo.2013.03.005.
Suh, H. S., K. Y. Kim, J. Lee, and T. S. Yun. 2017. “Quantification of bulk form and angularity of particle with correlation of shear strength and packing density in sands.” Eng. Geol. 220: 256–265. https://doi.org/10.1016/j.enggeo.2017.02.015.
Terzaghi, K., and R. B. Peck. 1948. Soil mechanics in engineering practice. New York: John Wiley & Son.
Wadell, H. A. 1932. “Volume, shape, and roundness of rock particles.” J. Geol. 40 (5): 443–451. https://doi.org/10.1086/623964.
Wang, J., and H. Yan. 2013. “On the role of particle breakage in the shear failure behavior of granular soils by DEM.” Int. J. Numer. Anal. Methods Geomech. 37 (8): 832–854. https://doi.org/10.1002/nag.1124.
Wang, W., and M. R. Coop. 2016. “An investigation of breakage behaviour of single sand particles using a high-speed microscope camera.” Géotechnique 66 (12): 984–998. https://doi.org/10.1680/jgeot.15.P.247.
Wei, D., J. Wang, J. Nie, and B. Zhou. 2018. “Generation of realistic sand particles with fractal nature using an improved spherical harmonic analysis.” Comput. Geotech. 104: 1–12. https://doi.org/10.1016/j.compgeo.2018.08.002.
Wu, Y., X. Wu, L. Yao, Z. Xue, C. Wu, H. Zhou, and K. Cen. 2017. “Simultaneous particle size and 3D position measurements of pulverized coal flame with digital inline holography.” Fuel 195: 12–22. https://doi.org/10.1016/j.fuel.2017.01.024.
Wu, Y., H. Yamamoto, J. Cui, and H. Cheng. 2020. “Influence of load mode on particle crushing characteristics of silica sand at high stresses.” Int. J. Geomech. 20 (3): 04019194. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001600.
Xiao, Y., C. S. Desai, A. Daouadji, A. W. Stuedlein, H. Liu, and H. Abuel-Naga. 2020a. “Grain crushing in geoscience materials-Key issues on crushing response, measurement and modeling: Review and preface.” Geosci. Front. 11 (2): 363–374. https://doi.org/10.1016/j.gsf.2019.11.006.
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. 2017a. “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, Q. Chen, Q. Ma, Y. Xiang, and Y. Zheng. 2017b. “Particle breakage and deformation of carbonate sands with wide range of densities during compression loading process.” Acta Geotech. 12 (5): 1177–1184. https://doi.org/10.1007/s11440-017-0580-y.
Xiao, Y., L. Long, T. M. Matthew Evans, H. Zhou, H. Liu, and A. W. Stuedlein. 2019. “Effect of particle shape on stress-dilatancy responses of medium-dense sands.” J. Geotech. Geoenviron. Eng. 145 (2): 04018105. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001994.
Xiao, Y., M. Meng, A. Daouadjie, Q. Chen, Z. Wu, and X. Jiang. 2020b. “Effects of particle size on crushing and deformation behaviors of rockfill materials.” Geosci. Front. 11 (2): 375–388. https://doi.org/10.1016/j.gsf.2018.10.010.
Xiao, Y., Z. Sun, A. M. Stuedlein, C. Wang, Z. Wu, and Z. Zhang. 2020c. “Bounding surface plasticity model for stress-strain and grain-crushing behaviors of rockfill materials.” Geosci. Front. 11 (2): 495–510. https://doi.org/10.1016/j.gsf.2019.06.010.
Xiao, Y., Z. Yuan, Y. Lv, L. Wang, and H. Liu. 2018. “Fractal crushing of carbonate and quartz sands along the specimen height under impact loading.” Constr. Build. Mater. 182 (9): 188–199. https://doi.org/10.1016/j.conbuildmat.2018.06.112.
Yamamuro, J. A., P. A. Bopp, and P. V. Lade. 1996. “One-Dimensional compression of sands at high pressures.” J. Geotech. Eng. 122 (2): 147–154. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:2(147).
Yamamuro, J. A., and P. V. Lade. 1996. “Drained sand behavior in axisymmetric tests at high pressures.” J. Geotech. Eng. 122 (2): 109–119. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:2(109).
Yang, J., and X. D. Luo. 2015. “Exploring the relationship between critical state and particle shape for granular materials.” J. Mech. Phys. Solids 84: 196–213. https://doi.org/10.1016/j.jmps.2015.08.001.
Yu, F. 2017. “Characteristics of particle breakage of sand in triaxial shear.” Powder Technol. 320: 656–667. https://doi.org/10.1016/j.powtec.2017.08.001.
Zhang, S., C. X. Tong, X. Li, and D. Sheng. 2015. “A new method for studying the evolution of particle breakage.” Géotechnique 65 (11): 911–922. https://doi.org/10.1680/jgeot.14.P.240.
Zhang, T., and C. Zhang. 2019. “Numerical simulation of particle breakage of granular assemblies in discrete element analyses.” Adv. Civ. Eng. 2019: 2048958. https://doi.org/10.1155/2019/2048958.
Zhang, T., C. Zhang, Q. Yang, and R. Fu. 2020a. “Inter-particle friction and particle sphericity effects on isotropic compression behavior in real-shaped sand assemblies.” Comput. Geotech. 126: 103741. https://doi.org/10.1016/j.compgeo.2020.103741.
Zhang, T., C. Zhang, J. Zou, B. Wang, F. Song, and W. Yang. 2020b. “DEM exploration of the effect of particle shape on particle breakage in granular assemblies.” Comput. Geotech. 122: 103542. https://doi.org/10.1016/j.compgeo.2020.103542.
Zhao, B., J. Wang, E. Andò, G. Viggiani, and M. R. Coop. 2020. “Investigation of particle breakage under one-dimensional compression of sand using X-ray microtomography.” Can. Geotech. J. 57 (5): 754–762. https://doi.org/10.1139/cgj-2018-0548.
Zhao, B., J. Wang, M. R. Coop, G. Viggiani, and M. Jiang. 2015. “An investigation of single sand particle fracture using X-ray micro-tomography.” Géotechnique 65 (8): 625–641. https://doi.org/10.1680/geot.4.P.157.
Zhou, W., D. Wang, G. Ma, X. Cao, C. Hu, and W. Wu. 2019. “Discrete element modeling of particle breakage considering different fragment replacement modes.” Powder. Technol. 360: 312–323. https://doi.org/10.1016/j.powtec.2019.10.002.
Zhou, W., L. Yang, G. Ma, X. Chang, Y. Cheng, and D. Li. 2015. “Macro–micro responses of crushable granular materials in simulated true triaxial tests.” Granular Matter 17 (4): 497–509. https://doi.org/10.1007/s10035-015-0571-3.
Zhou, Y., H. Wang, B. Zhou, and J. Li. 2018. “DEM-aided direct shear testing of granular sands incorporating realistic particle shape.” Granular Matter 20 (3): 55. https://doi.org/10.1007/s10035-018-0828-8.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 21Issue 7July 2021

History

Received: Apr 23, 2020
Accepted: Jan 4, 2021
Published online: Apr 28, 2021
Published in print: Jul 1, 2021
Discussion open until: Sep 28, 2021

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Tao Zhang, Ph.D. [email protected]
State Key Laboratory for Geomechanics and Deep Underground Engineering, China Univ. of Mining and Technology, Xuzhou 221116, China. Email: [email protected]
Weihao Yang [email protected]
Professor, State Key Laboratory for Geomechanics and Deep Underground Engineering, China Univ. of Mining and Technology, Xuzhou 221116, China (corresponding author). Email: [email protected]
Assistant Researcher, State Key Laboratory for Geomechanics and Deep Underground Engineering, China Univ. of Mining and Technology, Xuzhou 221116, China. Email: [email protected]
State Key Laboratory for Geomechanics and Deep Underground Engineering, China Univ. of Mining and Technology, Xuzhou 221116, China. ORCID: https://orcid.org/0000-0003-0613-9268. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • Numerical Simulations of Particle Behavior and Crushing within a Pressurized Sand Damper Subjected to Cyclic Loading, Journal of Engineering Mechanics, 10.1061/JENMDT.EMENG-7365, 150, 1, (2024).
  • Simulation experimental investigations on particle breakage mechanism and fractal characteristics of mixed size gangue backfill materials, Journal of Materials Research and Technology, 10.1016/j.jmrt.2023.02.225, 24, (125-142), (2023).
  • Stiffness of gangue backfilling body in goaf and its influence mechanism on rock strata control and stress evolution in gangue backfill mining, Environmental Science and Pollution Research, 10.1007/s11356-023-26509-0, (2023).
  • Fracturing and Ultimate State of Binary Carbonate Sands, International Journal of Geomechanics, 10.1061/(ASCE)GM.1943-5622.0002450, 22, 7, (2022).
  • Effect of stress anisotropy on deformation and particle breakage of silica sand at high-pressure compression tests, Construction and Building Materials, 10.1016/j.conbuildmat.2021.125835, 316, (125835), (2022).
  • Influence of particle breakage on the isotropic compressibility of sands, Journal of Mountain Science, 10.1007/s11629-022-7390-x, 19, 7, (2086-2099), (2022).
  • Investigating the effects of elongation and flatness on the shear behaviour of breakable granular materials via the DEM, Granular Matter, 10.1007/s10035-022-01237-3, 24, 3, (2022).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share