akin j. e. finite element analysis with error estimation (2000, 388 pages)外语英文电子书

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1、FiniteElementAnalysiswithErrorEstimationbyJ.E.AkinRiceUniversityDepartmentofMechanicalEngineeringandMaterialsScienceHouston,TX77251−1892Copyright©2000AllRightsReservedDraft−2/24/01©2001J.E.Akin1Chapter1INTRODUCTION1.1FiniteElementMethodsThegoalofthistextistointroducefiniteelemen

2、tmethodsfromaratherbroadperspective.Wewillconsiderthebasictheoryoffiniteelementmethodsasutilizedasanengineeringtool.Likewise,exampleengineeringapplicationswillbepresentedtoillustratepracticalconceptsofheattransfer,stressanalysis,andotherfields.Todaythesubjectoferroranalysisforada

3、ptivityoffiniteelementmethodshasreachedthepointthatitisbotheconomicalandreliableandshouldbeconsideredinanengineeringanalysis.Finally,wewillconsiderinsomedetailthetypicalcomputationalproceduresrequiredtoapplymodernfiniteelementanalysis,andtheassociatederroranalysis.Inthischapterwe

4、willbeginwithanoverviewofthefiniteelementmethod.Wecloseitwithconsiderationofmodernprogrammingapproachesandadiscussionofhowthesoftwareprovideddiffersfromtheauthor'spreviousimplementationsoffiniteelementcomputationalprocedures.Inmodernengineeringdesignitisraretofindaprojectthatdoesn

5、otrequiresometypeoffiniteelementanalysis(FEA).Whennotactuallyrequired,FEAcanusuallybeutilizedtoimproveadesign.ThepracticaladvantagesofFEAinstressanalysisandstructuraldynamicshavemadeittheaccepteddesigntoolforthelasttwodecades.Itisalsoheavilyemployedinthermalanalysis,especiallyin

6、connectionwiththermalstressanalysis.Clearly,thegreatestadvantageofFEAisitsabilitytohandletrulyarbitrarygeometry.Probablyitsnextmostimportantfeaturesaretheabilitytodealwithgeneralboundaryconditionsandtoincludenonhomogeneousandanisotropicmaterials.Thesefeaturesalonemeanthatwecant

7、reatsystemsofarbitraryshapethataremadeupofnumerousdifferentmaterialregions.Eachmaterialcouldhaveconstantpropertiesorthepropertiescouldvarywithspatiallocation.Totheseverydesirablefeatureswecanaddalargeamountoffreedominprescribingtheloadingconditionsandinthepostprocessingofitemss

8、uchasthestressesandstrains.Forellipticalboundaryvaluep