材料的塑性泊松比

6219996JOURNALOFPLASTICITYENGINEERINGVol16No12Jun11999LpLep(100101)(100823)(102206)EpLpEepLep,Lp=015,Lep015;,LpLep0151,,,015?015,?,:,Lp=015,Lep015;,LpLep015,,2LpLp,EeEp,EeLe,EpLpLp,EpE1=Ee+EpE2=E3=-(LeEe+LpEp)V0,V=[1+(Ee+Ep)][1-(LeEe+LpEp)]2V0,Ee,V=(1+Ee)(1-LeEe)2V01Lp2EpFig11Lp2Epcurve1Lp=(1-LeEe)1+Ee+Ep-(1+Ee)(1+Ee+Ep)Ep(1+Ee+Ep)(1)Ee,Lp=(1+Ep)-1+EpEp(1+Ep)(2)(1)(2),LeEeLp,Ee01005,(2)(1)017%;Ee=0101,113%,(2)(1)1(E0101)Lp=015,1(Le=013)Ep010010100201005010101020103010401050110(2)Lp014996014993014981014963014926014890014855014820014654(1)Ee=01001014990014986014975014956014920014884014849014814014648Ee=01003014977014973014962014947014907014872014836014802014637Ee=01005014964014960014949014931014894014859014824014790014635Ee=01010014932014928014917014899014864014828014794014760014597,e,ep,ep=ln(1+Ep)(2)Lp=eep-eepeep(eep-1)(3)2Lp,,Lp015,Lp1Lp2Ep2Ep011012013014015016017Lp(2)014654014356014098013871013670013491013329Lp(3)014637014298013981013686013410013153012913Ep018019110115210310Lp(2)013183013050012929012450012113011667Lp(3)012690012483012290011515010989010407722:LpLep3LepEep=Ee+Ep,Lep,E,REepR=R(Eep)Le,Ee=REE1=EepE2=E3=-LepEepV0,,()V=(1+Ee)(1-LeEe)2V0=(1+RE)(1-LeRE)2V0EepV=(1+Eep)(1-LepEep)2V02Lep2EepFig12Lep2Eepcurve1Lep=1Eep[1-(1-LeRE)1+RE1+Eep](4)REn1,Lep=1+Eep-1+EepEep(1+Eep)(5),,(5)(4),,(5)Lep(4)Eep2(1+Eep)32(1+RE)12(1-LeRE)-3(1+Eep)+1=0(6)(6)Lep,015,Lep01470149,LepLep=eeep-eeep(eeep-1)eeep(7)2Lep-Eep(5),(4),Le=0128,E0=010012;Le=0130,E0=010017E0,,826Eep,Lep,Eep0102,LepEep011Lep015,EeLeLep,Lep(2)(5),,41)Lp(1),(2),(3)2)LpEp,,015;,Lp3)Lep(4),(5),(7)4)LepEep,(6),015;,LepLp5),EepEeEp,Lep,015Ep,015Lp6)LpLep015,,PLASTICPOISSONSRATIOLpANDELASTIC-PLASTICPOISSON’SRATIOLepOFMATERIALLiuZhi(CollegeofAppliedTechnologyofBUU,Beijing,100101)WangRuigang(ChineseMechanicalEngineeringSociety,100823)ZhaoGuangsheng(BeijingAgriculturalCollege,Beijing,102206)Abstractfromtheconditionofincompressibilityofthevolumeunderthecircumstancesofplasticdeforma2tion1thispaperderivesplastic2elasticpoisson’sratioLP,whichisdefinedbytheplasticratioLpwhichisde2finedbytheplastiestrainEpandelastic2plasticpoisson’sratioLepwhichisdefinedbythewholeelasticplasticstrainEeparederived.ItalsopointsoutthatthereisindeedLp=015withintheregionofsmalldeformation,butLepwillneverbebigerthan015,andwhenthedeformationislarger,nomatterwhetheritisLpandLepitwillbefarlessthan0151Inthispaperthecountingformulaisprovidedforsolvingtheproblemoflargede2formation1Keywordspoisson’sratio,plasticdeformation,largedeformation922:LpLep