[1]JAYASUNDARACT,ZHUHP.ImpactenergyofparticlesinballmillsbasedonDEMsimulationsanddata-drivenapproach[EB/OL].(2021-09-24)[2021-10-05].https:∥www.sciencedirect.com/science/article/abs/pii/S0032591021008561.
[2]WANGT,ZOUWJ,XURJ,etal.Assessingloadinballmillusinginstrumentedgrindingmedia[J].MineralsEngineering,2021,173:107198.
[3]YUJW,QINYH,GAOP,etal.Aninnovativeapproachfordeterminingthegrindingmediasystemofballmillbasedongrindingkineticsandlinearsuperpositionprinciple[J].PowderTechnology,2021,378(PartA):172-181.
[4]GAOP,ZHOUWT,HANYX,etal.Enhancingthecapacityoflargescaleballmillthroughprocessandequipmentoptimization:anindustrialtestverification[J].AdvancedPowderTechnology,2020,31(5):2079-2091.
[5]MARIJNISSENMJ,GRACZYKOWSKIC,ROJEKJ.Simulationofthecomminutionprocessinahigh-speedrotormillbasedonthefeed’smacroscopicmaterialdata[J].MineralsEngineering,2021,163:106746.
[6]耿凡,袁竹林,孟德才,等.球磨机中颗粒混合运动的数值模拟[J].热能动力工程,2009,24(5):623-629,682.
[7]BIANXL,WANGGQ,WANGHD,etal.Effectofliftersandmillspeedonparticlebehaviour,torque,andpowerconsumptionofatumblingballmill:experimentalstudyandDEMsimulation[J].MineralsEngineering,2017,105:22-35.
[8]李腾飞,林蜀勇,张博,等.不同转速率下球磨机内钢球的碰撞研究[J].中南大学学报(自然科学版),2019,50(2):251-256.
[9]IWASAKIT,YAMANOUCHIH.Ball-impactenergyanalysisofwettumblingmillusingamodifieddiscreteelementmethodconsideringthevelocitydependenceoffrictioncoefficient[J].ChemicalEngineeringResearchandDesign,2020,163:241-247.
[10]JIANGSQ,YEYX,TANYQ,etal.Discreteelementsimulationofparticlemotioninballmillsbasedonsimilarity[J].PowderTechnology,2018,335:91-102.
[11]CUNDALLPA.Acomputermodelforsimulatingprogressivelarge-scalemovementsinblockyrocksystems[C]∥ISRM.Proceedingsofthesymposiumoftheinternationalsocietyforrockmechanics.Lisbon:ISRM,1971:128-132.
[12]MISHRABK,RAJAMANIRK.Thediscreteelementmethodforthesimulationofballmills[J].AppliedMathematicalModelling,1992,16(11):598-604.
[13]AGRAWALAS,RAJAMANIRK,SONGFACKP,etal.Mechanicsofmediamotionintumblingmillswith3ddiscreteelementmethod[J].MineralsEngineering,1997,10(2):215-227.
[14]HESY,GANJQ,PINSOND,etal.Particleshape-inducedaxialsegregationofbinarymixturesofspheresandellipsoidsinarotatingdrum[J].ChemicalEngineeringScience,2021,235:116491.
[15]YANGSL,WANGH,WEIYG,etal.Flowdynamicsofbinarymixturesofnon-sphericalparticlesintherolling-regimerotatingdrum[J].PowderTechnology,2019,361:930-942.
[16]FENGYT,HANK,OWENDRJ.Agenericcontactdetectionframeworkforcylindricalparticlesindiscreteelementmodelling[J].ComputerMethodsinAppliedMechanicsandEngineering,2017,315:632-651.
[17]XIECH,SONGT,ZHAOYZ.Discreteelementmodelingandsimulationofnon-sphericalparticlesusingpolyhedronsandsuper-ellipsoids[J].PowderTechnology,2020,368:253-267.
[18]WEERASEKARANS,LIULX,POWELLMS.EstimatingenergyingrindingusingDEMmodelling[J].MineralsEngineering,2016,85:23-33.
[19]ZHANGB,REGUEIROR,DRUCKREYA,etal.Constructionofpoly-ellipsoidalgrainshapesfromSMTimagingonsand,andthedevelopmentofanewDEMcontactdetectionalgorithm[J].EngineeringComputations,2018,35(2):733-771.
[20]METZGERMJ,GLASSERBJ.Simulationofthebreakageofbondedagglomeratesinaballmill[J].PowderTechnology,2013,237:286-302.
[21]BIBAKZ,BANISIS.AcombinedphysicalandDEMmodellingapproachtoinvestigateparticleshapeeffectsonloadmovementintumblingmills[J].AdvancedPowderTechnology,2021,32(2):916-930.
[22]李同清.球磨机矿磨介质动力学行为研究[D].徐州:中国矿业大学,2018.
[23]王肖江.基于离散元法的武山铜矿半自磨介质优化研究[D].昆明:昆明理工大学,2017.
[24]李鸿程,董为民,赵德化,等.矿物颗粒形状对球磨机磨矿性能的影响[J].中国粉体技术,2013,19(2):70-73.
[25]GOVENDERN,RAJAMANIR,WILKEDN,etal.EffectofparticleshapeingrindingmillsusingaGPUbasedDEMcode[J].Mine-ralsEngineering,2018,129:71-84.
[26]CLEARYPW,MORRISONRD.Comminutionmechanisms,particleshapeevolutionandcollisionenergypartitioningintumblingmills[J].MineralsEngineering,2016,86:75-95.
[27]BARRIOSGKP,DECARVALHORM,KWADEA,etal.ContactparameterestimationforDEMsimulationofironorepellethandling[J].PowderTechnology,2013,248:84-93.
[28]IWASAKIT,YABUUCHIT,NAKAGAWAH,etal.Scale-upmethodologyfortumblingballmillbasedonimpactenergyofgrindingballsusingdiscreteelementanalysis[J].AdvancedPowderTechnology,2010,21(6):623-629.
[29]POWELLMS,WEERASEKARANS,COLES,etal.DEMmodellingoflinerevolutionanditsinfluenceongrindingrateinballmills[J].MineralsEngineering,2011,24(3/4):341-351.
[30]ALDERBJ,WAINWRIGHTTE.Phasetransitionforahardspheresystem[J].JournalofChemicalPhysics,1957,27(5):1208-1209.
[31]CUNDALLPA,STRACKODL.Adiscretenumericalmodeforgranularassemblies[J].Géotechnique,1979,29(1):47-65.
[32]JOHNSONKL,KENDALLK,ROBERTSAD.Surfaceenergyandthecontactofelasticsolids[J].ProceedingsoftheRoyalSocietyA:mathematical,PhysicalandEngineeringSciences,1971,324:301-313.
[33]WALTONOR,BRAUNRL.Viscosity,granular-temperature,andstresscalculationsforshearingassembliesofinelastic,frictionaldisks[J].JournalofRheology,1998,30(5):949-980.
[34]MINDLINRD,DERESIEWICZH.Elasticspheresincontactundervaryingobliqueforces[J].JournalofAppliedMechanics—TransactionsoftheAsme,1953,20(3):327-344.
[35]IWASHITAK,ODAM.RollingresistanceatcontactsinsimulationofshearbanddevelopmentbyDEM[J].JournalofEngineeringMechanics,1998,124(3):285-292.
[36]ODAM,KONISHIJ,NEMATNASSERS.Experimentalmicromechanicalevaluationofthestrengthofgranularmaterials:effectsofparticlerolling[J].MechanicsofMaterials,1982,1(4):269-283.
[37]FENGYT.Anenergy-conservingcontacttheoryfordiscreteelementmodellingofarbitrarilyshapedparticles:basicframeworkandgeneralcontactmodel[J].ComputerMethodsinAppliedMecha-nicsandEngineering,2021,373:113454.
[38]FENGYT.Anenergy-conservingcontacttheoryfordiscreteelementmodellingofarbitrarilyshapedparticles:contactbolumebasedmodelandcomputationalissues[J].ComputerMethodsinAppliedMechanicsandEngineering,2021,373:113493.
[39]李昆塬,童昕,李占福,等.基于DEM-FEM耦合的球磨机梯形衬板参数研究[J].福建工程学院学报,2017,15(6):523-527.
[40]JONSNP,PLSSONBI,TANOK,etal.Predictionofmillstructurebehaviourinatumblingmill[J].MineralsEngineering,2010,24(3/4):236-244.
[41]BEINERTS,FRAGNIREG,SCHILDEC,etal.Analysisandmodellingofbeadcontactsinwet-operatingstirredmediaandplanetaryballmillswithCFD-DEMsimulations[J].ChemicalEngineeringScience,2015,134:648-662.
[42]MAYANKK,MALAHEM,GOVENDERI,etal.CoupledDEM-CFDmodeltopredictthetumblingmilldynamics[J].ProcediaIUTAM,2015,15:139-149.
[43]SINNOTTMD,CLEARYPW,MORRISONRD.CombinedDEMandSPHsimulationofoverflowballmilldischargeandtrommelFlow[J].MineralsEngineering,2017,108:93-108.
[44]JONSNP,STENERJF,PLSSONBI,etal.Validationofamodelforphysicalinteractionsbetweenpulp,chargeandmillstructureintumblingmills[J].MineralsEngineering,2015,73:77-84.
[45]KANOJ,MIOH,SAITOF.Correlationofgrindingrateofgibbsitewithimpactenergyofballs[J].AIChEJournal,2000,46(8):1694-1697.
[46]CLEARYPW,MORRISONRD.UnderstandingfineorebreakageinalaboratoryscaleballmillusingDEM[J].MineralsEngineering,2011,24(3/4):352-366.
[47]穆海芳,何康,韩君,等.基于离散元法的球磨机介质运动的仿真研究[J].济宁学院学报,2019,40(2):12-16.
[48]HUANGP,DINGYF,WUL,etal.Anovelapproachofevaluatingcrushingenergyinballmillsusingregionaltotalenergy[J].PowderTechnology,2019,355(6):289-299.
[49]BONDFC.Thethirdtheoryofcomminution[J].TransactionsofAIMEMiningEngineering,1952,193:484-494.
[50]SHIFN,XIEWG.Aspecificenergy-basedsizereductionmodelforbatchgrindingballmill[J].MineralsEngineering,2015,70:130-140.
[51]OROZCOLF,NGUYENDH,DELENNEJY,etal.Discrete-elementsimulationsofcomminutioninrotatingdrums:effectsofgrindingmedia[J].PowderTechnology,2020,362:157-167.
[52]CLEARYPW.Chargebehaviourandpowerconsumptioninballmills:sensitivitytomilloperatingconditions,linergeometryandchargecomposition[J].InternationalJournalMineralProcessing,2001,63(2):79-114.
[53]孙鹏.基于离散元素法的岩土球磨机仿真与分析[J].软件,2019,40(8):145-148,189.
[54]刘刚,张冠宇,李婧锡,等.基于离散元的球磨机工作参数优化[J].矿山机械,2014,42(7):79-82.
[55]PEDRAVESF,NORNIELLAJG,MELEROMG,etal.FrequencydomaincharacterizationoftorqueintumblingballmillsusingDEMmodelling:applicationtofillinglevelmonitoring[J].PowderTechnology,2018,323:433-444.
[56]DECARVALHORM,TAVARESLM.Predictingtheeffectofoperatinganddesignvariablesonbreakageratesusingthemechanisticballmillmodel[J].MineralsEngineering,2013,43/44:91-101.
[57]HERBSTJA,FUERSTENAUDW.Scale-upprocedureforcontinuousgrindingmilldesignusingpopulationbalancemodels[J].InternationalJournalofMineralProcessing,1980,7(1):1-31.
[58]ROSALESMARNG,ANDRADEJ,ALVARADOG,etal.Studyoflifterwearandbreakageratesfordifferentliftergeometriesintumblingmill:experimentalandsimulationanalysisusingpopulationbalancemodel[J].MineralsEngineering,2019,141:105857.
[59]CHIMWANIN,BWALYAMM.UsingDEMtoinvestigatehowshelllinercaninduceballsegregationinaballmill[J].MineralsEngineering,2020,151:106311.
[60]WUM,WANGV.Modelingballimpactonthewetmilllinersanditsapplicationinpredictingmillmagneticlinerperformance[J].MineralsEngineering,2014,61:126-132.
[61]张学东,董为民,周海燕,等.具有仿生特征的球磨机提升条耐磨性数值模拟[J].有色金属(选矿部分),2017(6):56-62.
[62]BOEMERD,PONTHOTJP.Agenericwearpredictionprocedurebasedonthediscreteelementmethodforballmilllinersinthecementindustry[J].MineralsEngineering,2017,109:55-79.
[63]REZAEIZADEHM,FOOLADIM,POWELLMS,etal.Anewpredictivemodeloflifterbarwearinmills[J].MineralsEngineering,2010,23(15):1174-1181.