材料多轴疲劳破坏准则回顾

REVIEWONTHEMULTIAXIALFATIGUECRITERIA　(南京航空航天大学航空宇航学院,南京210016)WANGYingyu　YAOWeixing(DepartmentofAircraft,NanjingUniversityofAeronauticsandAstronautics,Nanjing210016,China)　,,,、、。,。　　　　　　　O346.2　TG111.8Abstract　Somecommonlyusedmultiaxialfatiguecriteriaweresystemicallyreviewed.Accordingtoparameterswhichwereusedtodescribefatiguedamageofmaterial,thecriteriawereclassifiedintothreeviewpoints.Theyarecriteriabasedonstress,criteriabasedonstrain,andcriteriabasedonenergy.Thecriteriaineachviewpointwereclassifiedintotwogroups,dependingontheyweresuitableformultiaxialproportionalloadingormultiaxialnon-proportionalloading.Someproblemswhichexistedinthosestudieswereexamined,andaconciseassessmentwasprovided.Keywords　Multiaxialfatigue;Fatiguecriteria;Multiaxialstress;Multiaxialstrain;Criticalplane;EnergyapproachCorrespondingauthor:WANGYingyu,E-mail:[e-mail],Fax:[phone]TheprojectsupportedbytheNationalDoctoralFoundationofChina(No.20020287022).Manuscriptreceived20020311,inrevisedform20020716.1　,。,S—Nε—N,,。　　,,,S—Nε—N。,,。,,。,。。,,、。2　,S—N,。N,SN。SSN,,S≤SN(1)2.1　Gough[1,2],,vonMisesTresca,σaσaf2+τaτaf2≤1(2)σafτaf。σaτa。Gough[1,2],。JournalofMechanicalStrength2003,25(3):246～250,,197712,,。,。20020311,20020716。(20020287022)。,Stulen[3]、Carpinteri[4]、[5]。Marin[6]J2J2,3J2,af-1λ+kJ2,mσfμ≤1(3)J2=12s·s,s,f-1,σf。,Marin[6]k=1,λ=μ=2。,3τaf-12+τmσf2≤1(4),Marin。,,σaf-12+σm3σf2≤1(5),(5)σm,Marin。Sines[7]2050J2,a+kσH,m≤λ(6)kλk=(3t-1f0)-3λ=t-1(7)t-1,f0。,。KakunoKawada[8]J2,a+kσH,a+λσH,m≤μ(8)k=(3t-1f-1)-3λ=(3t-1f0)-3μ=t-1(9)Findley[9]σmax(φc,c)τa(φc,c)τa(φc,c)+kσmax(φc,c)≤λ(10)kλ,φ、,c,。Matake[10]Findley[9],。Matake,。McDiarmid[11,12],,τa(φc,c)+tA,B2σfσmax(φc,c)≤tA,B(11)σf,tAtB。τa,σmax。,DangVanPapadopoulos[13]、Robert[14]、ChenKeer[15]。2.2　Lee[16],Gough,σeq=σa[1+(bK2t)α]1α(12)α=2(1+βsinφ)K=2τaσa(13)τaσa,bt,β,φ。Sines(6)Goodman(σaf-1+σmσf=1),f0=f-1(1+f-1σf)。,(6)J2,a+(3f-1σf)σH,m≤t-1(14)。Sines(6),Crossland[17],J2,a+kσH,max≤λ(15)kλt-1f-1k=(3t-1f-1)-3λ=t-1(16),,。(8)、(10)(11)。3　,ε—N。N,εN。εN,,ε≤εN(17)3.1　BrownMiller[18]247　253:　。Γ。γmax,εn。γmax+Sεn=C(18)S、C。[19]。[20]Zr-4。LohrEllison[21],BrownMillerγmaxεn。BrownMillerΓ,。,LohrEllison[21]γ＊2ε＊nΓ＊。γ＊+kε＊n=C(19)γ＊45°,ε＊n,k、C。LohrEllison[20]λ-ν≤λ≤1,ν,Γ＊Γ,-1≤λ≤-ν,。,γ＊。Socie[22]LohrEllison[21],,。γ＊+kε＊n+σnE=C(20)σnγ＊。LinNayeb-Hashemi[23],。ShihLee[24]BrownMiller(18)Ai(γmax+Biεn)=f(Nf)(21)AiBi。(18)、(20)(21)。3.2　[25]　Δγmax2+εn=(1+LΥ)-1n′γf′(2Nf)c+τf′G(2Nf)b(22)Δγmax,εn,Υ,L,n′。[26,27]Δεcreq,ΔγmaxΔεnΔεcreq2=[ε′2n+13(Δγmax2)2]12(23)εn′。,。Itoh[28],Δεnp=(1+αfn)Δε1(24)α,fn,Δε1。,Borodii[29]Δεnp=(1+αΥ)Δε(25)α,Υ。BorodiiStrizhalo[30],Δεnp=(1+ksinφ)(1+αΥ)Δε(26)k,φ。4　。,,。4.1　Ellyin[31,32]ΔWt=k(ρ)Nar+C(27)aC,ΔWt,　　ΔWt=ΔWe+ΔWp(28)　　ΔWe=1+νEJ22+1-2ν6EJ21(29)　　ΔWp=∑i,j∮cycleσi,jdεi,j(30)J1J2。(27)k(ρ)ρ=2ε2(ε1-ε2),k(ρ)=ε1ρ+ε2(31),。Findley[33],248　　　　　　　2003　。BannantineSocie[34]。Glinka[35],W＊=Δγ212Δτ212+Δε222Δσ222(32)Δε22Δγ21,Δσ22Δτ21。Glinka[36],(32)　W＊=Δγ122Δσ12211-σmax12τf′+11-σmax22σf′(33)σmax12σmax22,—,σf′τf′。4.2　Garud[37]ΔεΔσ+CΔγΔτ=f(Nf)(34)C。GarudC=0.51%Cr-Mo-V。Farahani[38],　1σf′εf′(ΔσnΔεn)+(1+σmnσf′)τf′γf′ΔτmaxΔγmax2=f(Nf)(35)σf′、εf′,τf′γf′、,Δσn、Δεn、,ΔτmaxΔγmax2、。,σmnσmn=12σmaxn+σminn(36)σmaxn、σminn。Chu[39,40]W＊=2Δτmax21Δγa21+Δσmax22Δεa22(37),。Liu[41]。Wen-FunPan[42],Glinka(32)　　W＊=Δγ212Δτ212+k1k2Δε222Δσ222(38)k1、k2。k1=γf′εf′,k2=σf′τf′,σf′,εf′,τf′,γf′。。5　。,,。,,。,。References1　GoughHJ.Crystallinestructureinrelationtofailureofmetals———espe-ciallyfatigue.Proc.ASTM33PartII,1933.3～20.2　GoughHJ,PollardHV.Thestrengthofmetalsundercombinedalternatingstress.Proc.Inst.Mech.Engrs,1935,131:3～18.3　StulenFB.Afailurecriterionformultiaxialstresses.Proc.ASTM,1954,54:822～838.4　CarpinteriA,SpagnoliA.Multiaxialhigh-cyclefatiguecriterionforhardmetals.InternationalJournalofFatigue,2001,23:135～145.5　HuangXZ,GaoZT.Astresscriterionoffatiguestrengthforcombinedbendingandtorsion.JournalofMechanicalStrength,1985,7(4):36～41(InChinese)(,..,1985,7(4):36～41).6　MarinJ.Interpretationoffatiguestrengthforcombinedstresses.In:Proc.Int.Conf.onFatigueofMetals,InstitutionofMechanicalEngineers,Lon-don,1956.184～194.7　SinesG.Behaviourofmetalsundercomplexstresses.In:SinesG,Wais-manJL,eds.,MetalFatigue,NewYork:McGraw-Hill,1959.145～169.8　KakunoH,KawadaY.Anewcriterionoffatiguestrengthofaroundbarsubjectedtocombinedstaticandrepeatedbendingandtorsion.FatigueEn-gngMater.Struct,1979,2:229.9　FindleyWN.Atheoryfortheeffectofmeanstressonfatigueofmetalsun-dercombinedtorsionandaxialloadorbending.J.EngngIndustry,TransASME,1959,81:301～306.10MatakeT.Anexplanationonfatiguelimitundercombinedstress.BullJSME1977,20:257～263.11　McDiarmidDL.Ageneralcriterionforhighcyclemultiaxialfatiguefailure.FatigueFract.Engng.Mater.Struct.,1991,14:429～453.12　McDiarmidDL.Ashearstressbasedcritical-planecriterionofmultiaxialfatiguefailurefordesignandlifeprediction.FatigueFract.EngngMater.Struct,1994,17(2):1475.249　253:　13　DangVanK,PapadopoulosIV.Multiaxialfatiguefailurecriterion:anewapproach.Fatigue'87:Proc.ThirdInt.Conf.onFatigueandFatigueThresholds,EMASWarley,UK,1987.997～1008.14　RobertJL,BahuaudJ,AmzallagC.ComptesRe