Cyclic loading of a cracked sheet approaches and results：循环载荷的裂纹板的方法和结果.ppt

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1、TheasymptoticstudyoffatiguecrackgrowthbasedoncontinuumdamagemechanicsZhaoJ.,ZhangX.Theasymptoticstudyoffatiguecrackgrowthbasedondamagemechanics//Engn.FractureMechanics.1995.V.50.1.P.131-141.LiJ.,RechoN.Methodesasymptotiquesenmecaniquedelarupture.Paris:Herm

2、esSciencePublications,2002.262p.AstafievV.I.,RadayevY.N.,StepanovaL.V.Nonlinearfracturemechanics.Samara:SamaraStateUniversity,2001.632p.StepanovaL.V.Mathematicalmethodsoffracturemechanics.Moscow:Fizmatlit,2009.336p.AstafjevV.I.,GrigorovaT.V.,PastuchovV.A.I

3、nfluenceofcontinuumdamageonstressdistributionnearatipofagrowingcrackundercreepconditions/procedingsoftheInternationalColloquium«Mechanicsofcreepbrittlematerials2»,UniversityofLeicester,UK,1991.P.49-61.Theasymptoticstudyoffatiguecrackgrowthbasedoncontinuumd

4、amagemechanicsConsiderafatiguegrowingcracklyingonthex-axiswiththecoordinateoriginlocatedatthemovingcracktipTheasymptoticstudyoffatiguecrackgrowthbasedoncontinuumdamagemechanicsTheessenceofcontinuumdamagemechanicsischaracterizedbymaterialdeteriorationcouple

5、dconstitutiveequations.Undertheassumptionoflinearelasticityastiffnessreductionbasedstress-strainrelationshipisappliedasThekineticlawofdamageevolutionTheequilibriumequationsTheasymptoticstudyoffatiguecrackgrowthbasedoncontinuumdamagemechanicsThecompatibilit

6、yequationTheconstitutiveequationsTheconstitutiveequationsforplanestressconditionsTheconstitutiveequationsforplanestrainconditionsTheasymptoticstudyoffatiguecrackgrowthbasedoncontinuumdamagemechanicsThetraditionaltractionfreeconditionsoncracksurfacesTheAiry

7、stressfunctionTheAirystressfunctioncanbepresentedintheformTheModeIstressfieldcomponentsatthecracktipbehaveasfollowsTheasymptoticstudyoffatiguecrackgrowthbasedoncontinuumdamagemechanicsThedamagefieldaroundthecracktipcanbepresentedasThestraincomponentsaregiv

8、enasFromthecompatibilityequationonecanobtain(forplanestress)onecanobtain(forplanestrain)TheasymptoticstudyoffatiguecrackgrowthbasedoncontinuumdamagemechanicsThedamageevolutionlawallowstoobtainThesymmetryofthe