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1、MultiaxialFatigueProfessorDarrellF.SocieDepartmentofMechanicalandIndustrialEngineeringUniversityofIllinoisatUrbana-Champaign©2001-2005DarrellSocie,AllRightsReserved1ContactInformationDarrellSocieMechanicalEngineering1206WestGreenUrbana,Illinois61801USAd-socie@uiuc.eduTel:2173337630Fa
2、x:2173335634MultiaxialFatigue©2001-2005DarrellSocie,UniversityofIllinoisatUrbana-Champaign,AllRightsReserved1of1252OutlinenStateofStress(Chapter1)nFatigueMechanisms(Chapter3)nStressBasedModels(Chapter5)nStrainBasedModels(Chapter6)nFractureMechanicsModels(Chapter7)nNonproportionalLoad
3、ing(Chapter8)nNotches(Chapter9)MultiaxialFatigue©2001-2005DarrellSocie,UniversityofIllinoisatUrbana-Champaign,AllRightsReserved2of1253StateofStressnStresscomponentsnCommonstatesofstressnShearstressesMultiaxialFatigue©2001-2005DarrellSocie,UniversityofIllinoisatUrbana-Champaign,AllRig
4、htsReserved3of1254StressComponentsZsztzytzxtyztxzsytyxtxysxYXSixstressesandsixstrainsMultiaxialFatigue©2001-2005DarrellSocie,UniversityofIllinoisatUrbana-Champaign,AllRightsReserved4of1255StressesActingonaPlaneZX’Z’sx’tx’z’Y’tx’y’fqYXMultiaxialFatigue©2001-2005DarrellSocie,University
5、ofIllinoisatUrbana-Champaign,AllRightsReserved5of1256PrincipalStressest13s3t12t23s2s1s3-s2(s+s+s)+s(ss+ssss-t2-t2-t2)XYZXYYZXZXYYZXZ-(sss+2ttt-st2-st2-st2)=0XYZXYYZXZXYZYZXZXYMultiaxialFatigue©2001-2005DarrellSocie,UniversityofIllinoisatUrbana-Champaign,AllRightsReserved6of1257Stress
6、andStrainDistributions10090%ofappliedstress80-20-1001020qStressesarenearlythesameovera10°rangeofanglesMultiaxialFatigue©2001-2005DarrellSocie,UniversityofIllinoisatUrbana-Champaign,AllRightsReserved7of1258Tensions3tg/2sesxs1e1s1s2s2=s3=0e2=e3=-ne1MultiaxialFatigue©2001-2005DarrellSoc
7、ie,UniversityofIllinoisatUrbana-Champaign,AllRightsReserved8of1259Torsions2tg/2ts3se3exys1e1s3Yse22Xs1s1=txyMultiaxialFatigue©2001-2005DarrellSocie,UniversityofIllinoisatUrbana-Champaign,AllRightsReserved9of12510BiaxialTensions3tg/2s3ses1=sxs1=s2e1=e2s2=sy2ne=-e31-nMultiaxialFatigue©
8、2001-2005Dar