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1、MathematicsKhennaneIntroductiontoIntroductiontoFiniteElementAnalysisUsingMATLAB®andAbaqusFiniteElementAnalysis“AverygoodintroductiontothefiniteelementmethodwithabalancedtreatmentofIntroductiontoFiniteElementAnalysistheoryandimplementation.”—F.Albermani,ReaderinStructuralEngineering,
2、®TheUniversityofQueensland,AustraliaUsingMATLABUsingMATLABandTherearesomebooksthattargetthetheoryofthefiniteelement,whileothersfocusontheprogrammingsideofthings.IntroductiontoFiniteElementAnalysisUsingAbaqusMATLAB®andAbaqusaccomplishesboth.Thisbookteachesthefirstprinciplesofthefinit
3、eelementmethod.Itpresentsthetheoryofthefiniteelementmethodwhilemaintainingabalancebetweenitsmathematicalformulation,programmingimplemen-tation,andapplicationusingcommercialsoftware.ThecomputerimplementationiscarriedoutusingMATLAB,whilethepracticalapplicationsarecarriedoutinbothMATLA
4、BandAbaqus.MATLABisahigh-levellanguagespeciallydesignedfordealingwithmatrices,makingitparticularlysuitedforprogrammingthefiniteelementmeth-®andAbaqusod,whileAbaqusisasuiteofcommercialfiniteelementsoftware.IntroductiontoFiniteElementAnalysisUsingMATLAB®andAbaqusintroducesandexplainst
5、heoryineachchapter,andprovidescorrespondingexamples.Itoffersintroductorynotesandprovidesmatrixstructuralanalysisfortrusses,beams,andframes.Thebookexaminesthetheoriesofstressandstrainandtherelationshipsbe-tweenthem.Theauthorthencoversweightedresidualmethodsandfiniteelementap-proximat
6、ionandnumericalintegration.Hepresentsthefiniteelementformulationforplanestress/strainproblems,introducesaxisymmetricproblems,andhighlightsthetheoryofplates.Thetextsuppliesstep-by-stepproceduresforsolvingproblemswithAbaqusinteractiveandkeywordeditions.Thedescribedproceduresareimpleme
7、ntedasMATLABcodes,andAbaqusfilescanbefoundontheCRCPresswebsite.AmarKhennaneK168946000BrokenSoundParkway,NWSuite300,BocaRaton,FL33487711ThirdAvenueNewYork,NY10017aninformabusiness2ParkSquare,MiltonParkwww.crcpress.comAbingdon,OxonOX144RN,UKwww.crcpress.comIntroductiontoFiniteElementA
8、nalysisUsingMATLAB®