A Simulation Method for Particle Breakage with Random Fragment Size Based on Discrete Element Method

doi:10.12068/j.issn.1005-3026.2023.03.014

Abstract

Abstract: Based on the breakage characteristics of natural rockfill particles， a fragment replacement mode with random sub-particle sizes， namely cube replacement model is established. The simulation test using the cube replacement mode can obtain a size distribution of sub-particles that obeys the breakage characteristic of natural rockfill particles. Uniaxial compression simulations show that， compared with the 4-ball and 18-ball replacement modes with fixed sub-particle sizes， the cube replacement mode can improve the continuity of specimen gradation curve and the problem of missing particles with intermediate sizes. Comparing the simulations of replacement modes with different sub-particle number， the distributions of contact number and mean contact force obtained by cube replacement mode comply with the influence of sub-particle number on the distributions. After removing the non-contact and single-contact particles from specimen， the change rules of micromechanical characteristics of different replacement modes are consisted. It is indicated that the cube replacement mode can be used to simulate the particle breakage of coarse-grained soils.

Key words: discrete element method; coarse grained soil; fragment replacement mode; particle size distribution; micromechanical characteristic

CLC Number:

TU41

ZHAO Fei-xiang， CHI Shi-chun. A Simulation Method for Particle Breakage with Random Fragment Size Based on Discrete Element Method[J]. Journal of Northeastern University(Natural Science), 2023, 44(3): 408-414.

References

[1]Shao X Q，Chi S C，Tao Y，et al.DEM simulation of the size effect on the wetting deformation of rockfill materials based on single-particle crushing tests［J］.Computers and Geotechnics，2020，123:103429.
[2]Zhang P T，Sun X J，Zhou X J，et al.Experimental simulation and a reliable calibration method of rockfill microscopic parameters by considering flexible boundary［J］.Powder Technology，2022，396:279-290.
[3]Zhou W，Yang L，Ma G，et al.DEM analysis of the size effects on the behavior of crushable granular materials［J］.Granular Matter，2016，18(3):1-11.
[4]Xiao Y，Liu H L，Chen Y M，et al.Strength and deformation of rockfill material based on large scale triaxial compression tests.II:influence of particle breakage［J］.Journal Geotechnical and Geoenvironmental Engineering，2014，140(12):04014071.
[5]徐琨，周伟，马刚，等.基于离散元法的颗粒破碎模拟研究进展［J］.岩土工程学报，2018，40(5):880-889.(Xu Kun，Zhou Wei，Ma Gang，et al.Review of particle breakage simulation based on DEM［J］.Chinese Journal of Geotechnical Engineering，2018，40(5):880-889.)
[6]Astrom J A，Herrmann H J.Fragmentation of grains in a two-dimensional packing［J］.European Physical Journal B-Condensed Matter and Complex Systems，1998，5(3):551-554.
[7]McDowell G R，de Bono J P.On the micro mechanics of one-dimensional normal compression［J］.Géotechnique，2013，63(11):895-908.
[8]Ciantia M O，Arroyo M，Calvetti F，et al.An approach to enhance efficiency of DEM modelling of soils with crushable grains［J］.Géotechnique，2015，65(2):91-110.
[9]Tsoungui O，Vallet D，Charmet J C.Numerical model of crushing of grains inside two-dimensional granular materials［J］.Powder Technology，1999，105(1):190-198.
[10]Ben-Num O，Einav I.The role of self-organization during confined comminution of granular materials［J］.Philosophical Transactions of the Royal Society A:Mathematical Physical and Engineering Sciences，2010，368(1910):231-247.
[11]杨贵，许建宝，刘昆林.粗粒料颗粒破碎数值模拟研究［J］.岩土力学，2015，36(11):3301-3306.(Yang Gui，Xu Jian-bao，Liu Kun-lin.Numerical simulation of particle breakage of coarse aggregates［J］.Rock and Soil Mechanics，2015，36(11):3301-3306.)
[12]Brosh T，Kalman H，Levy A.Fragments spawning and nteraction models for DEM breakage simulation［J］.Granular Matter，2011，13(6):765-776.
[13]赵飞翔，迟世春，米晓飞.基于颗粒破碎特性的堆石材料级配演化模型［J］.岩土工程学报，2019，41(9):1707-1714.(Zhao Fei-xiang，Chi Shi-chun，Mi Xiao-fei.Gradation evolution model based on particle breakage characteristics for rockfill materials［J］.Chinese Journal of Geotechnical Engineering，2019，41(9):1707-1714.)
[14]Li H Q，McDowell G，Lowndes I.Discrete element modelling of a rock cone crusher［J］.Powder Technology，2014，263:151-158.
[15]贾宇峰，王丙申，迟世春.堆石料剪切过程中的颗粒破碎研究［J］.岩土工程学报，2015，37(9):1692-1697.(Jia Yu-feng，Wang Bing-shen，Chi Shi-chun.Particle breakage of rockfill during triaxial tests［J］.Chinese Journal of Geotechnical Engineering，2015，37(9):1692-1697.)
[16]De Bono J，McDowell G.Particle breakage criteria in discrete-element modelling［J］.Géotechnique，2016，66(12):1014-1027.
[17]Russell A R，Wood D M，Kikumoto M.Crushing of particles in idealized granular assemblies［J］.Journal of the Mechanics and Physics of Solids，2009，57(8):1293-1313.
[18]Marketos G，Bolton M D.Compaction bands simulated in discrete element models［J］.Journal of Structural Geology，2009，31(5):479-490.
[19]Ai J，Chen J F，Rotter J M，et al.Assessment of rolling resistance models in discrete element simulations［J］.Powder Technology，2011，206(3):269-282.
[20]Wood D M，Maeda K.Changing grading of soil:effect on critical states［J］.Acta Geotechnica，2008，3(1):3-14.
[21]张科芬，张升，腾继东，等.离散元中破碎自组织对颗粒破碎影响研究［J］.岩土工程学报，2018，40(4):743-751.(Zhang Ke-fen，Zhang Sheng，Teng Ji-dong，et al.Influences of self-organization of granular materials on particle crushing based on discrete element method［J］.Chinese Journal of Geotechnical Engineering，2018，40(4):743-751.)
[22]Thornton C.Numerical simulations of deviatoric shear deformation of granular media［J］.Géotechnique，2000，50(1):43-53.