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1、ThispageintentionallyleftblankCOMPUTATIONALCONTINUUMMECHANICSThisbookpresentsthenonlineartheoryofcontinuummechanicsanddemonstratesitsuseindevelopingnonlinearcomputerformulationsforlargedisplacementdynamicanalysis.Basicconceptsusedincon-tinuummechanicsare
2、presentedandusedtodevelopnonlineargen-eral?niteelementformulationsthatcanbeeffectivelyusedinlargedisplacementanalysis.Thebookconsiderstwononlinear?niteele-mentdynamicformulations:agenerallarge-deformation?niteele-mentformulationandthenaformulationthatcan
3、ef?cientlysolvesmalldeformationproblemsthatcharacterizeveryandmoderatelystiffstructures.Thebookpresentsmaterialclearlyandsystematically,assumingthereaderhasonlybasicknowledgeinmatrixandvectoralgebraanddynamics.Thebookisdesignedforusebyadvancedundergradua
4、tesand?rst-yeargraduatestudents.Itisalsoareferenceforresearchers,practicingengineers,andscientistsworkingincompu-tationalmechanics,bio-mechanics,computationalbiology,multibodysystemdynamics,andother?eldsofscienceandengineeringusingthegeneralcontinuummech
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,S?oPauloCambridgeUniversityPressTheEdinburghBuilding,CambridgeCB28RU,UKPublishedint
8、heUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521885690?AhmedShabana2008Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionofre