fracture_notes_2009.pdf

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1、LectureNotesonFractureMechanics10/τ0.81/2)2θτ0.6+2r(τ0.40.40.20-0.20.8x0.40.62-0.400.2-0.2x1AlanT.Zehnder,Ph.D.DepartmentofTheoreticalandAppliedMechanicsCornellUniversity,Ithaca,NY14853atz2@cornell.educAlanZehnder,2007lastupdatedJune23,2009Thesenotesmaybedownloadedforpersonalornon-profitinstruct

2、ionaluseonly.Anyotheruserequirespriorpermissionoftheauthor.iiContents1Introduction11.1Notation...........................................11.2NotableFractures......................................11.3BasicFractureMechanicsConcepts............................31.3.1SmallScaleYieldingModel.........

3、...................41.3.2FractureCriteria..................................51.4FractureUnitConversions.................................61.5Exercises..........................................62LinearElasticStressAnalysisof2DCracks72.1ModesofFracture.....................................72.2ModeII

4、IField.......................................92.2.1AsymptoticModeIIIField............................92.2.2FullStressandDisplacementFieldforFiniteCrackinanInfiniteBody...122.3ModeIandModeIIFields................................152.3.1ReviewofPlaneStressandPlaneStrainFieldEquations...........152.

5、3.2AsymptoticModeIField.............................162.3.3AsymptoticModeIIField.............................192.4ComplexVariablesMethodforStressAnalysisofCracks................192.4.1WestergaardapproachforMode-I.........................202.4.2WestergaardapproachforMode-II......................

6、..202.4.3Generalsolutionforinternalcrackwithappliedtractions...........202.4.4FullStressFieldforFiniteMode-ICrackinanInfinitePlateinTension...212.4.5StressIntensityFactorforCrackUnderRemoteShearLoading........242.4.6StressIntensityFactorsforCracksLoadedwithTractions...........242.4.7AsymptoticMo

7、deIFieldDerivedfromFullFieldSolution...........242.4.8AsymptoticModeIIFieldDerivedfromFullFieldSolution..........262.4.9StressIntensityFactorsforSemi-InfiniteCrack.................262.5SomeComments..................................