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1、ThispageintentionallyleftblankCOMPUTATIONALCONTINUUMMECHANICSThisbookpresentsthenonlineartheoryofcontinuummechanicsanddemonstratesitsuseindevelopingnonlinearcomputerformulationsforlargedisplacementdynamicanalysis.Basicconceptsusedincon-tinuummechanicsare
2、presentedandusedtodevelopnonlineargen-eralfiniteelementformulationsthatcanbeeffectivelyusedinlargedisplacementanalysis.Thebookconsiderstwononlinearfiniteele-mentdynamicformulations:agenerallarge-deformationfiniteele-mentformulationandthenaformulationthatcan
3、efficientlysolvesmalldeformationproblemsthatcharacterizeveryandmoderatelystiffstructures.Thebookpresentsmaterialclearlyandsystematically,assumingthereaderhasonlybasicknowledgeinmatrixandvectoralgebraanddynamics.Thebookisdesignedforusebyadvancedundergradua
4、tesandfirst-yeargraduatestudents.Itisalsoareferenceforresearchers,practicingengineers,andscientistsworkingincompu-tationalmechanics,bio-mechanics,computationalbiology,multibodysystemdynamics,andotherfieldsofscienceandengineeringusingthegeneralcontinuummech
5、anicstheory.AhmedA.ShabanaistheRichardandLoanHillProfessorofEngi-neeringattheUniversityofIllinois,Chicago.Dr.ShabanareceivedhisPhDinmechanicalengineeringfromtheUniversityofIowa.Hisactiveareasofresearchinterestareindynamics,vibration,andcontrolofmechanica
6、lsystems.Heisalsotheauthorofotherbooks,includingTheoryofVibration:AnIntroduction,VibrationofDiscreteandContinuousSystems,ComputationalDynamics,RailroadVehicleDynamics:AComputationalApproach,andDynamicsofMultibodySystems,ThirdEdition.ComputationalContinuu
7、mMechanicsAhmedA.ShabanaRichardandLoanHillProfessorofEngineeringUniversityofIllinoisatChicagoCAMBRIDGEUNIVERSITYPRESSCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPauloCambridgeUniversityPressTheEdinburghBuilding,CambridgeCB28RU,UKPublishedint
8、heUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521885690©AhmedShabana2008Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionofre