LS-DYNA材料模型及参数

1、目录1基本的状态方程21.1EOS_JWL22.2EOS_GRUNEISEN22.3EOS_LINEAR_POLYNOMIAL32.材料模型32.1MAT_HIGH_EXPLOSIVE_BURN3RDX5HMX5TNT51.2MAT_NULL5空气6水61.3MAT_JOHNSON_COOK7紫铜8钢81.4MAT_PLASTIC_KINEMATIC9钢10高导无氧铜10土壤101.5MAT_STEINBERG10高导无氧铜121.6MAT_JOHNSON_HOLMQUIST_CERAMICS12B4C陶瓷141.7MAT_JOHNSON_HOLMQUIST_CONCRETE14混凝土143其

2、它材料参数15LY12CZ铝合金15-（回到目录）许鸿杰整理收集1材料模型及参数主要材料模型及参数1基本的状态方程1.1E0S_JWLVjriiJhkEOS1D、nRiR2OMECEHVO1FFFFFFFTheJWLcquarionofstatedctmcsthepressureiis-（回到目录）许鸿杰一整理收集5andisusuallyusedfardetonationprcxliicfsofhighexpJosivcs,22EOS_GRUNEISEN345167RViriifclffEOSIDcSJ32S3GAMAO扎EOTypeFFFYFCjfhJ2ViriihkV（lTypeFHra

3、rm呛剧TheCmneisenequaiiiionci机加亡withcubicshockvekicjiy叩：11!址1亡vekiciiydefinespressureforcompressedmaXenalsas-+（r.i+叩）百.%亡屮1（1_）出-聊|一何-1）屮-伫-卩J打ahdfor已k聃dedasF-PaQ纭+（%+哪）EwhereCiiHtheinterceptofthevs-Vpcun.re：S=,Sj.andS3arethecoefficientsofI.ticslopeofthev5-Vpcutv亡；血ktheCruneiHcnjamma：el店thefirstondiZT

4、volumecorreclinnto旳，and月二一I.2.3EOS_LINEAR_POLYNOMIAL（对EOS_GRUNEISEN进行线性化）1-Thelinearpolynomialequarionof朮商已islinearininternaenergy.Thepressureisgivenby:F=q-+Gn十G+(G+G/)E.when;t?rni5Op，tindCjJirc賦ttojxtqifr-匕ktheriWiaofturrentdens-itytoiniuldensity,2材料模型21MAT_HIGH_EXPLOSIVE_BURNCartI12J4S百MIDKODPCJBE

5、TAKG1FFFFFFFBurn.frtl:kinshF*whichmultiplyrheequationsoFsuitesfurhightxplnsivcs,.controlthereleaseofchemicaJenergj!forsimulatingdetonotionSuAranytit,thepressureinahighexplosiveelenentisgiwntoyp=t.Qwfi-crc尹zisthepressurefromtheequationof初sitt(eithertypes2ar3).Pistherelativevolume,ndEistheinternalener

6、gydensitypeunitinitialvolume.Jntheimhalizationphase,alightingtimet|iscomputedforeachelementbydividingthedistancetrornthedetonationpointtothecenterofth亡elementbythedetonationvelocityJfmultipledetonationpointsaredefined,theclosestdetonationpointdeterminest|ThebumfractionF5takenasrhetTaxiniinnwrierewhe

7、re也istheChapjnlui-JoLigucLrclaLivtvukuneLindI.iscurrenttijne.If卜exceedsI,ili占rcictXLTliiscakulationofdieburnfiactionusuallyrequiresseveraltime：stepsfor/toreachnnitytherebispreLidijigtheburnfrontuverseverillelenients.AfterreiichkigLinity.卜isheld.constiLriL.Thisbunfractioncalc皿alis门isbasedonworkbyWilk

8、ins1964andisalsodiscussedbyGiroux973.ITthcbeLaburnopLionisl已亡lLBETAl-0+miyvolLimelikcujnprrssiunwillcanscdeLundtiunand尸二and耳jnotcomputed.Tfprogrammedhumisnsed?BETA=2.0,rheexplosivemndelwillh已haveasanelasticperfectlyplasticmaterial.ifthebulkmodnJushearmednlii%and.yieldstressaredefinedTlLcrcLircwilhth

9、i.supti.ujiIhtexplosivenmlrrid.cluitunipresiwjthuLitcausingdclundliunAsonoptionthehighexplosivematerialcmibehaveasanelasticperfectly-plasticsolidpriortodetonation.Inthiscaseweupdatethestresstensortoanelastictrialstress,减；：十讥十讥十倾以whereGistheshearmodulus-,and0；isthedeviatoricstrainrateThevonMisesyield

10、conditionisrivenby:wheretjcseeoliJsticssimiiant*丿”isdfinedii:terniofthedevlh-jl-stressciTTipLinertsasndrheyieldstressIsc_TfyieldinghasoccLirred,i.e.?0,thecleviarorictrialMrecsisscaledrnobtainttiefinaldevidtorlcstressatimen+1IfO.thcnBeToredermatkm.pressu.rei$given,hytheexpressiunwhereKisthebulkmodulu

11、s.Oncetheexplosivemateriald-denates;tndtheinBfcrialbehaveslikea.gais.RDX密度：1.69E+3kg/m3：D:8310m/s：Pcj:30.45GpaA:850Gpa；B:18Gpa；46R2：3；W038；E0：10MJ/kgFor(g-cm-us):*MAT_HIGH_EXPLOSIVE_BURN11.698.3100.30150*EOSJWL18.500.3810e-021.00HMX密度：1.891E+3kg/m3,D：9910m/s,Pcj：42Gpa,A：778.3Gpa：B：7.1Gpa：R

12、g4.1：R2：1.00：w0：30：E0：10.5MJ/kgFor(g-cm-us):*MAT_HIGH_EXPLOSIVE_BURN11.899.9100.420*EOSJWL17.7830.0714.21.00.3010.5e-021.00TNT密度：1.63E+3kg/m3：D：6930m/s：Pcj：27Gpa：A：371.2Gpa：B：3.21GPI：4.15：R2：0.95：w：30E0429MJ/kgFor(g-cm-us):*MAT_HIGH_EXPLOSIVE_BURN11.636.9300.270*EOSJWL13.7130.07434.150.950.307.0e-02

13、1.001.2MAT_NULLVEJfllhkMIDROPCMidITRODCF.RODYMPRTyr*FFFFFFF氐伽IIHnCnC00.0IMJDJJ材料模型及参数I“ThennllmaterialiTuistbeusedwithaneqiiationof-statePressurecutoffisnegativeintension.AdcvidturicjviscousstressufLhcformiseonipnredfnrnnnzernpwhere宦rhedeviatoricstrainrate,fjisthedynamicvisensitywithmiitofPascal,sec

14、otidl，2.ITiemillmaterialhasnoshearstiffnessandhourglasscontrolmustbeusedwittigreatcare.Insomeapplicationsthedefaultholitglasscoefficientmifhtleadtosignificantenergylosses.IngeneraForfludiehourglasseoerflclencQMshouldhesmall(Intherange1.0E-4to1.0E-6intheSIunitsystemforthestandanddefault】HQchoice)3*Th

15、eNullmaterldlhasn.oyleklsireigthandbehavesInunuld-llkernanner-4hThepressurecut-off；.PCmustbedefinedtoallowforanoaterialto粧口11.护cavitate.Innthcr理口rd仏whenamalcrialundergoesdilatcitionabuvtcertainrTiiigniludc.iishuuklnnleingcrbeabletoreEiEtthisdilatation.SincedilatationEtres-sorpressureisnegative,setti

16、ngPClimittoav-erj-smallnegativetiumberwoulddlowforthemateriatocavitateoncethepressureinthematerialedgebelowthisnecatjvcvalue.空气*MAT_NULLRO=1.25kg/m3-PC=-1.0pa(0)-MU=1-7456E-5(动力粘性系数)*EOS_LINEAR_POLYNOMIAL1,0Gpa,0Gpa,0Gpa,0,0-4,0-4,0253312.5,1.0For(g-cm-us):*MAT_NULL1,RO=998.21kg/m3,PC=-10.0pa,MU=0.8

17、684E-3：0,0,0,0C:1480m/s,S1:2,S2:-1986,S3:02261Y0.4934,丿，3A:0.47,EQ0V4For(g-cm-us):*MAT_NULL10.998-1.0E-110.8684E-50000000000000*EOS_GRUNEISEN11.651.92-0.096000000.3500000001.3MAT_J0HNS0N_C00KCordIVariableMIDRDEPRDTEVPTyp：1FFI-FFFDcfaullnuncUUl-E：nuncntincnuncQ.UO.UUuiJ2YliTiuNcABNCMTMTREPSOl;l-FF卜FF

18、FFFDefrnihnone0.C1O.Di-.nQncnon-cnonennnerind1VariableCPPCPALLITDID2D41沪FFFFFFFFDrJaullnixie0.02.UO.UU.0a.ou.u0.U-（回到目录）许鸿杰一整理收集7R髦m割Johnsonand.匸ookexpresstheflowstressas7.=IJ4Z/f）（llrhie）（：-7*）whereA,B,C,n?andm二inputconstantseffectiveplasticscramE常二heffectiveplasticstrainratefor1tn7-7T=hcimologousr

19、emperature=.Constantsforavaiictyofmaterialsai-cprovidedinJohnson.niidCook19831，AfullyviscoplasticformukirianIsoptional（VP）whIchln.carporatestherateeqUcMlons讪lhlntheyleklsur1tui-eBAnadditionalcotisincuiredbuttheimprovementisresidtscanbedramatic.DuttononlhieLirityinthedepende口心畠ufflu卿slicssunpldsticsl

20、rdinLinLKJCLiRittvdlueul:h亡flowsirescrequiresireratinnfortheincrementinphsTicstrain.However,by11sing：3Taylnrseri已尺expansionwithlinearizationaboLitthecurrenttiro巳、wecmsolvefor105)andezinbeusedwithsolidelements.Theyieldstrengthisafunctionoftemperatureandpressure.AnequationnFstateLktennincsthepressure,

21、CunlII245hVisibleMIDRD5GOBETANGAMASKIrMFFPFFFFCard2ViriiblcBBPHFATWOGAM：)5AFFPPFFFCurd3ViriiHcPG5P.ALLKFFLAGECDECITypeFFFFFFFViniblcEC2ECi-EC4EC5ECbECTECMECMTyprFFFFFFFFROMtwcriiilId-an:IHc时lomAunkucnutnberhiisreMlbkdensity.btchcicn.onBaiLc*hearmodulusSCO7|edzfunneqUdiiuiLfr.BETA山eedefinincequations

22、.Nn,心deFinlngkjiiueIimis.7l，initiiilplmti:astrui口.aeedefiningequutkxix.QU白占.耳己tfdHnin.-aqu.;itirxiK.Bb,derinlng*.|Udtlot.FCluior-氓(defiwll=-lr+Ki)HFKseedefininlumlionB.SPALLSpoilrype:EQ.ajOidfrujfcm!Iio2JT.HJi,疋己dermlug&.|iialixis.E-Q.IX);p首Pcii-EQ.2.D.1rarnaxfkmpntspilIsmdkninn.p0,西nvcrFf.陶砖deflnin

23、cequiil:innsEQ.3ja：p-praiciflTiAfiltipullhulldlenhiun,pOA-AItihOIdrihfdTMO1*口5beedenyingequuLiuiLt.FLajO触ioI.Dror|ieirffTkicnitiihecoklcamp厲ki别日身Fii.DeDullh7c，,Sitftfdeiinin叫Li;l:k胃i$.MMNIpIiarpcicoulpnrf|iriiniTiumvcilue.SAn(.cedfiningcqudtiane.MMKPrrutorHriuxOptionalHwHmunmumvnkie.FCl-i|dtb(lIefii

24、iilt=-L.e+3TijBclUiE供EuldtriwgycoefTklfnirupilciiul|.-（回到目录）许鸿杰一整理收集13Userswhuhavean.iniereKtintillsmadeIareeneou.mg.edtu龍utlyrhepaperbySielnberg.andCjiiimmlilchpnuvl.desthetheotiticid.AnuiherusefulrefecetiCEhtheK.OVE匚ll注Xhiuhli岀LIntermsioftheforegoingjnpLilparumm爲wedefinethehhtlitmodLilLs,O?beforet

25、hematerialtwitsas:wherephthepressure,VIstherehtlvevuliLtiie.isthecoldeonipreiisJuJienergy:I一V.,andEpnXthemclline,energy:EmW-片曲“丈丁讯蕾鼻屯ichisintermsofthemeltingtempe敢LireTm(x:帥）andrhemeliingtempe敢1江亡肚p二pTmo.IntheaboveequationRisdefinedby用一vtiereRisthegasconstantandAisdi已atomicweight.IfRisnotdefined,LS-

26、DYNAeompure&irwithRinthegrammicrosecondsystemofunits.TJieyi.亡klstrength(Jj-isgivenby：高导无氧铜*MAT_STEINBERG28.930.4770.120E-0236.00.4500.000.640E-022.832.830.377E-030.100E-0263.50.179E+042.021.50-9.003.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00*EOSGRUNEISEN20.3941.490.000.002.020.4700.0

27、01.001.6MAT_JOHNSON_HOLMQUIST_CERAMICSThisisMaterialType1111ThiJohneon-HoItnqnistPlasticityDlinageModelisLiEefulformodelingccramicsHgassandotherbrittlem卫trrial生AmeredetaileddescriptioncanbefoundinapaperbyJohnsonandHolmquist1993.VnrinhleMIDROGABCMNTFFFFFFFCaid21234Sh7KVariableEPS!TSFMAXHELPHH.BETA1:V

28、-FFFFFFCorel31345h7SValiabJe口.D2KIK2K3FSFKFFhFMIDMiiicridiMctiKiriCsilonAunkiLifnui-Tfrcrh.n$coHFSRtflerenceInunr-t?.RDDensity-TMiAlniunirerilkstrtngh.aSheer-modulus5FMAXMoxinuiiinixmijli/fdlriiclu.rlIrenth(ifELj.D.lelLi.ilIkba1e2Ci)_ArnluztnjarmuJitEdIrenlhpunuurttfrHELHuiaihncldsilcllmlr.BFriKCurt

29、dnonnuliiflJ-irengihpurujiicba-FHH.CLCnpvndn.1LtthtfHu.giniuielxili:lirniLCSlrengthFunxiiElertfarirninruledependerict!)BETAFtirJonijrelHMksnerfyloeonverKdtn忆典!门耳i議忙曰址刖.MFniciurtd时neiigihpurmii-ensri駅pc川切uDIParumeldrfbrplnstirstrainlafruclurd.NInLiztslnfnlhptTLiiirittr(preshurt!mpiineri“.KFMraJiieizr

30、fcjpkik1soIflIoIYmoj用eiponemyKIFirstpmsure1CTiElTtientiquiiiikn1tnthehulkInadu.lujij.K2Second口代師mpcIllclent.柑Elasticcanxlrnits(kJis;thehulkmcdulua)-RlilkiW日倨1氣F50013UIUp*4-C*0lisilifihtfKirninFSTheequivalentstressforaceramic-typematerialisgivenbyrr=er：一Dim-erwhfTf：ff/=十门卫十finE)representstlicintactmi

31、demiagedbchaviouiA-representsrheaccuniulateddamagebasedupontheincreaseinplasticstrainperccniputationalcwleandeplasticstraintofirajeture二z“r比-心厂(1+rLne)血切representsthedojiinedbehovioLir.neachcasetheist，indicates.norma.Jizedquantity,estressesbeingnomializedbytheequivalentstressatrheHugoniorelasticlimitseebelow)Httiepressuresbyrti-epressureartheHngoniotelasticlimit(seebelowiandtfwstrainratebythereferenc-estrainrare.ThepLituxLerdlcojitrukihera左atwhichd.Lunu.geceLinuLLtLesi.Ifk