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《An anisotropic theory of elasticity for continuum damage mechanics.pdf》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、InternationalJournalofFracture33:3-16(1987)3©MartinusNijhoffPublishers,Dordrecht-PrintedintheNetherlandsAnanisotropictheoryofelasticityforcontinuumdamagemechanicsC.L.ChowandJuneWang*DepartmentofMechanicalEngineering,UniversityofHongKong,HongKong,"onleavefromHuazhongUniversityofSc
2、ience&Technology,Wuhan,ChinaReceived13June1986;accepted11September1986AbstractThispaperpresentsthedevelopmentofananisotropicelasticdamagetheory.ThisisachievedbyderivingamodifieddamageeffecttensorM(D)fortheeffectivestressequationscapableofincludingtheeffectofanisotropicmaterialdam
3、age.Themodifiedtensorremovestherestrictionofaprioriknowledgeofthedirectionsofprincipalstressesimposedbyadamageeffecttensordevelopedearlierandcannowbemadeforgeneralpracticalengineeringapplicationsoffailureanalysis.Reductionoftheproposedtensortoascalarforisotropicdamageisshowntobep
4、ossiblewhenitisexpressednotonlyintheprincipaldirectionsbutalsoinanyarbitrarycoordinatesystem,anecessaryconditiontoverifythevalidityoftheproposedtensor.Uniaxialtensionandpuretorsionarechosentoillustratetheapplicationofthetheoryaswellasassociateddamagevariablesthatmaybeexperimental
5、lydeterminedusinglaboratorysizespecimens.Themeasureddamagevariablesconfirmthepresenceofanisotropicdamagefromaninitiallyisotropicmaterialspecimenandthemagnitudeismorepronouncedathigherstressesandstrains.1.IntroductionTheconceptofcontinuumdamagemechanicsduetoKachanov[1]hasbeendevel
6、opedtoastagewheretheconceptcanbeeffectivelyusedtosupplementthedesignofpracticalengineeringstructuresbasedonthetheoryoffracturemechanics[2-23].Althoughthedamagemechanicsprovideameasureofmaterialdegradationatthemicro-mechanicsscaleduetonucleationandcoalescenceofvoids,cavities,andmi
7、cro-cracks,thedamagevariablesareintroducedtoreflectaveragematerialdegradationinanelementatamacro-mechanicsscalenormallyassociatedwiththeclassicaltheoryofcontinuummechanics.Thisenablesthevariablestobemeasuredexperimentallyusinglaboratory-sizespecimensrecommendedforconventionaltest
8、ingstandards,thusmakingpossibletheapplic
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