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外文翻译---一种适应的有限元分析方法面向一个整体计算环境 英文.pdf

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外文翻译---一种适应的有限元分析方法面向一个整体计算环境 英文.pdf

AMETHODOLOGYFORADAPTIVEFINITEELEMENTANALYSISTOWARDSANINTEGRATEDCOMPUTATIONALENVIRONMENTGHPAULINO,IFMMENEZES,JBCAVALCANTENETO,LFMARTHAABSTRACTTHISWORKINTRODUCESAMETHODOLOGYFORSELFADAPTIVENUMERICALPROCEDURES,WHICHRELIESONTHEVARIOUSCOMPONENTSOFANINTEGRATED,OBJECTORIENTED,COMPUTATIONALENVIRONMENTINVOLVINGPRE,ANALYSIS,ANDPOSTPROCESSINGMODULESABASICPLATFORMFORNUMERICALEXPERIMENTSANDFURTHERDEVELOPMENTISPROVIDED,WHICHALLOWSIMPLEMENTATIONOFNEWELEMENTS/ERRORESTIMATORSANDSENSITIVITYANALYSISAGENERALIMPLEMENTATIONOFTHESUPERCONVERGENTPATCHRECOVERYSPRANDTHERECENTLYPROPOSEDRECOVERYBYEQUILIBRIUMINPATCHESREPISPRESENTEDBOTHSPRANDREPARECOMPAREDANDUSEDFORERRORESTIMATIONANDFORGUIDINGTHEADAPTIVEREMESHINGPROCESSMOREOVER,THESPRISEXTENDEDFORCALCULATINGSENSITIVITYQUANTITIESOFFIRSTANDHIGHERORDERSTHEMESHREGENERATIONPROCESSISACCOMPLISHEDBYMEANSOFMODERNMETHODSCOMBININGQUADTREEANDDELAUNAYTRIANGULATIONTECHNIQUESSURFACEMESHGENERATIONINARBITRARYDOMAINSISPERFORMEDAUTOMATICALLYIEWITHNOUSERINTERVENTIONDURINGTHESELFADAPTIVEANALYSISUSINGEITHERQUADRILATERALORTRIANGULARELEMENTSTHESEIDEASAREIMPLEMENTEDINTHEFINITEELEMENTSYSTEMTECHNOLOGYINADAPTIVITYFESTASOFTWARETHEEFFECTIVENESSANDVERSATILITYOFFESTAAREDEMONSTRATEDBYREPRESENTATIVENUMERICALEXAMPLESILLUSTRATINGTHEINTERCONNECTIONSAMONGFINITEELEMENTANALYSIS,RECOVERYPROCEDURES,ERRORESTIMATION/ADAPTIVITYANDAUTOMATICMESHGENERATIONKEYWORDSFINITEELEMENTANALYSIS,ERRORESTIMATION,ADAPTIVITY,HREFINEMENT,SENSITIVITY,SUPERCONVERGENTPATCHRECOVERYSPR,RECOVERYBYEQUILIBRIUMINPATCHESREP,OBJECTORIENTEDPROGRAMMINGOOP,INTERACTIVECOMPUTERGRAPHICS1INTRODUCTIONTHISWORKPRESENTSANINTEGRATEDOBJECTORIENTEDCOMPUTATIONALENVIRONMENTFORSELFADAPTIVEANALYSESOFGENERICTWODIMENSIONAL2DPROBLEMSTHISENVIRONMENTINCLUDESANALYSISPROCEDURESTOINSUREAGIVENLEVELOFACCURACYACCORDINGTOCERTAINCRITERIA,ANDALSOTHEPROCEDURESTOGENERATEANDMODIFYTHEFINITEELEMENTDISCRETIZATIONTHISCOMPUTATIONALSYSTEM,CALLEDFESTAFINITEELEMENTSYSTEMTECHNOLOGYINADAPTIVITY,INVOLVESFIVEMAINCOMPONENTSSEESHADEDBOXESINFIGURE1AGRAPHICALPREPROCESSOR,FORDEFININGTHEGEOMETRYOFTHEPROBLEM,THEINITIALFINITEELEMENTMESHTOGETHERWITHBOUNDARYCONDITIONS,ANDTHEMAINPARAMETERSUSEDINASELFADAPTIVEANALYSISHERETHEGEOMETRICALMODELISDISSOCIATEDFROMTHEFINITEELEMENTMODELAFINITEELEMENTMODULEFORSOLVINGTHECURRENTBOUNDARYVALUEPROBLEMTHECODEHASBEENDEVELOPEDSOTHATITISHIGHLYMODULAR,EXPANDABLE,ANDUSERFRIENDLYTHUS,ITCANBEPROPERLYMAINTAINEDANDCONTINUEDMOREOVER,OTHERUSERS/DEVELOPERSSHOULDBEABLETOMODIFYTHEBASICPROGRAMMINGSYSTEMTOFITTHEIRSPECIFICAPPLICATIONSANERRORESTIMATIONANDSENSITIVITYMODULEDISCRETIZATIONERRORSAREESTIMATEDACCORDINGTOAVAILABLERECOVERYPROCEDURES,EGZIENKIEWICZANDZHUZZ,SUPERCONVERGENTPATCHRECOVERYSPRANDRECOVERYBYEQUILIBRIUMINPATCHESREPSENSITIVITIESOFVARIOUSORDERS1ST,2NDORHIGHERARECALCULATEDBYMEANSOFAPROCEDUREANALOGOUSTOTHESPRTHEUSERCHOOSESTHEDESIREDERRORESTIMATORANDSENSITIVITYORDERAMESHREGENERATIONRATHERTHANMESHENRICHMENTPROCEDURE,BASEDONTHECOMBINATIONOFQUADTREEANDDELAUNAYTRIANGULATIONTECHNIQUESACCORDINGTOTHEMAGNITUDEOFTHEERROR,CALCULATEDINTHEPREVIOUSMODULE,ANEWFINITEELEMENTMESHISAUTOMATICALLYGENERATEDIEWITHNOUSERINTERVENTION,USINGEITHERTRIANGULARORQUADRILATERALELEMENTSHREFINEMENTCOMPUTATIONALMECHANICS231999361–388SPRINGERVERLAG1999361GHPAULINODEPARTMENTOFCIVILANDENVIRONMENTALENGINEERING,UNIVERSITYOFILLINOISATURBANACHAMPAIGN2209NEWMARKLABORATORY,205NORTHMATHEWSAVENUE,URBANA,IL618012352,USAIFMMENEZES,JBCAVALCANTENETO,LFMARTHATECGRAFCOMPUTERGRAPHICSTECHNOLOGYGROUP,PUCRIO,RIODEJANEIRO,RJ,22453900,BRAZILJBCAVALCANTENETO,LFMARTHADEPARTMENTOFCIVILENGINEERING,PUCRIO,RIODEJANEIRO,RJ,22453900,BRAZILCORRESPONDENCETOGHPAULINOGHPAULINOACKNOWLEDGESTHESUPPORTFROMTHEUNITEDSTATESNATIONALSCIENCEFOUNDATIONNSFUNDERGRANTNOCMS9713798IFMMENEZESACKNOWLEDGESTHEFINANCIALSUPPORTPROVIDEDBYTHEFAPERJ,WHICHISABRAZILIANAGENCYFORRESEARCHANDDEVELOPMENTINTHESTATEOFRIODEJANEIROGHPAULINOANDIFMMENEZESALSOACKNOWLEDGETHEDEPARTMENTOFCIVILANDENVIRONMENTALENGINEERINGATUCDAVISFORHOSPITALITYWHILEPARTOFTHISWORKWASPERFORMEDJBCAVALCANTENETOANDLFMARTHAACKNOWLEDGETHEFINANCIALSUPPORTPROVIDEDBYTHEBRAZILIANAGENCYCNPQTHEAUTHORSALSOTHANKANANONYMOUSREVIEWERFORPROVIDINGRELEVANTSUGGESTIONSTOTHISWORKFINALLY,APOSTPROCESSORMODULE,WHEREALLTHEANALYSISRESULTSEGDEFORMEDSHAPE,SENSITIVITYANDSTRESSCONTOURSCANBEVISUALIZEDESSENTIALLY,FESTAISACOMPUTATIONALLABORATORYWHICHOFFERSABASICPLATFORMFORNUMERICALANALYSISANDFURTHERDEVELOPMENT,EGIMPLEMENTATIONOFNEWERRORESTIMATORS,ELEMENTS,ORMATERIALMODELSCAVALCANTENETOETAL1998OBJECTORIENTEDPROGRAMMINGANDINTEGRATIONOFPRE,ANALYSIS,ANDPOSTPROCESSINGMODULESMAKEFESTAASOFTWAREWELLSUITEDFORBOTHPRACTICALENGINEERINGAPPLICATIONSANDFURTHERRESEARCHDEVELOPMENTTHEREMAINDEROFTHISPAPERISORGANIZEDASFOLLOWSAMOTIVATIONTOTHEWORKANDA‘‘BRIEF’’LITERATUREREVIEWAREPROVIDEDINSECT2AFTERWARDS,SECT3PRESENTSSOMETHEORETICALBACKGROUNDONSELFADAPTIVESIMULATIONSANDANOVERVIEWOFTHEGRAPHICALINTERFACEUSEDINTHEFESTASOFTWARESECTION4INTRODUCESTHEMATHEMATICALFORMULATIONOFTHESPRUSINGWEIGHTEDLEASTSQUARESYSTEMS,THEREP,ANDTHESENSITIVITYMETHODADISCUSSIONABOUTTHEAUTOMATICMESHGENERATIONTECHNIQUESUSEDINTHISWORKISGIVENINSECT5RELEVANTINFORMATIONREGARDINGTHEIMPLEMENTATIONOFFESTAISPRESENTEDINSECT6,ESPECIALLYASPECTSRELATEDTOTHESPRANDREPRECOVERIESINORDERTOASSESSTHEEFFECTIVENESSOFTHEPROPOSEDCOMPUTATIONALSYSTEM,REPRESENTATIVENUMERICALEXAMPLESAREGIVENINSECT7FINALLY,INSECT8,CONCLUSIONSAREINFERREDANDDIRECTIONSFORFUTURERESEARCHAREDISCUSSED2MOTIVATIONANDRELATEDWORKNORMALPRACTICETOSOLVEENGINEERINGPROBLEMSBYMEANSOFTHEFINITEELEMENTMETHODFEMORTHEBOUNDARYELEMENTMETHODBEMINVOLVESINCREASINGTHENUMBEROFDISCRETIZATIONPOINTSINTHECOMPUTATIONALDOMAINANDRESOLVINGTHERESULTINGSYSTEMOFEQUATIONSTOEXAMINETHERELATIVECHANGEINTHENUMERICALSOLUTIONINGENERAL,THISPROCEDUREISTIMECONSUMING,ITDEPENDSONTHEEXPERIENCEOFTHEANALYST,ANDITCANBEMISLEADINGIFTHESOLUTIONHASNOTENTEREDANASYMPTOTICRANGEIDEALLY,WITHAROBUSTANDRELIABLESELFADAPTIVESCHEME,ONEWOULDBEABLETOSPECIFYANINITIALDISCRETEMODELWHICHISSUFFICIENTTODESCRIBETHEGEOMETRY/TOPOLOGYOFTHEDOMAINANDTHEBOUNDARYCONDITIONSBCS,ANDTOSPECIFYADESIREDERRORTOLERANCE,ACCORDINGTOANAPPROPRIATECRITERIONTHEN,THESYSTEMWOULDAUTOMATICALLYREFINETHEMODELUNTILTHEERRORMEASUREFALLSBELOWTHEPRESCRIBEDTOLERANCETHEPROCESSSHOULDBEFULLYAUTOMATICANDWITHOUTANYUSERINTERVENTIONTHISISTHEMAINGOALWHICHMOTIVATEDTHEDEVELOPMENTOFFESTATHISAPPROACHINCREASESTHEOVERALLRELIABILITYOFTHEANALYSISPROCEDURESINCEITDOESNOTDEPENDONTHEEXPERIENCE,ORINEXPERIENCE,OFTHEANALYSTTHENEEDFORDEVELOPINGBETTERPREPROCESSINGTECHNIQUESFORTHEFEM,FORPERFORMINGAUTOMATEDANALYSIS,ANDFOROBTAININGSELFADAPTIVESOLUTIONSWHICHISBECOMINGATRENDFORCOMMERCIALFEMSOFTWAREHAVEDRIVENTHEDEVELOPMENTOFAUTOMATICMESHGENERATIONALGORITHMS,IEALGORITHMSWHICHARECAPABLEOFDISCRETIZINGANARBITRARYGEOMETRYINTOACONSISTENTFINITEELEMENTMESHWITHOUTANYUSERINTERVENTIONSEVERALALGORITHMSFOR2DGEOMETRIESHAVEBEENDEVELOPEDEGBAEHMANNETAL1987;BLACKERANDSTEPHENSON1991;ZHUETAL1991;POTYONDYETAL1995B;BOROUCHAKIANDFREY1998,ANDAPPROACHESFORTHREEDIMENSIONAL3DGEOMETRIESHAVEAPPEAREDMORERECENTLYEGCASSETAL1996;ESCOBARANDMONTENEGRO1996;BEALLETAL1997;LO1998THEPRESENTWORKFOCUSONAUTOMATIC2DMESHGENERATIONINCONNECTIONWITHADAPTIVESOLUTIONSEFFICIENTTECHNIQUESFORGENERATINGALLQUADRILATERALANDALLTRIANGULARMESHESARECONSIDEREDINDETAILALTHOUGHTHEALGORITHMSPRESENTEDHEREINCOULDBEEXTENDEDTOMIXEDMESHES,IEMESHESWITHBOTHTRIANGULARANDQUADRILATERALELEMENTSSEE,FOREXAMPLE,BOROUCHAKIANDFREY1998,THISTOPICISNOTWITHINTHESCOPEOFTHISWORKTHEREEXISTAVASTLITERATUREONERRORESTIMATIONANDADAPTIVITY,ANDTHEREADERISDIRECTEDTOTHEAPPROPRIATEREFERENCES1THEVOLUMESEDITEDBYBREBBIAANDALIABADI1993ANDBABUSˇKAETAL1986REVIEWADAPTIVETECHNIQUESFORTHEFEMANDTHEBEMTHEBOOKEDITEDBYLADEVEZEANDODEN1998PRESENTSACOMPILATIONOFPAPERSFROMTHEWORKSHOPOF‘‘NEWADVANCESINADAPTIVECOMPUTATIONALMECHANICS,’’HELDATCACHAN,FRANCE,17–19SEPTEMBER1997,WHICHDEALTWITHTHELATESTADVANCESINADAPTIVEMETHODSINMECHANICSANDTHEIRIMPACTONSOLVINGENGINEERINGPROBLEMSSEVERALISSUESOFJOURNALSHAVEALSOBEENDEDICATEDTOADAPTIVITY,EGVOLUME121996,NUMBER2OFENGINEERINGWITHCOMPUTERS,VOLUME151992,NUMBERS3/4OFADVANCESINENGINEERINGSOFTWARE,ANDVOLUME361991,NUMBER1OFTHEJOURNALOFCOMPUTATIONALANDAPPLIEDMATHEMATICSSURVEYSOFTHELITERATUREINFEMINCLUDEARTICLESBYNOORANDBABUSˇKA1987,ODENANDDEMKOVICZ1989,STROUBOULISANDHAQUE1992A,B,BABUSˇKAANDSURI1994,ANDAINSWORTHANDODEN1997MACKERLE1993,1994HASCOMPILEDALONGLISTOFREFERENCESONMESHGENERATION,REFINEMENT,ERRORANALYSISANDADAPTIVETECHNIQUESFORFEMANDBEMTHATWEREPUBLISHEDFROM1990TO1993THEZZ,SPR,REP,VISUALIZATIONPOSTPROCESSORFINALDISCRETIZATIONMESHREGENERATIONGRAPHICALPREPROCESSORGEOMETRY,TOPOLOGY,BCSFINITEELEMENTSOLVERCONVERGENCEFESTAITERATIVEMESHDESIGNCYCLENYERRORESTIMATORFIG1SIMPLIFIEDDIAGRAMOFTHEFESTAINTERACTIVEMESHING1THELISTOFPAPERSREFERREDHEREISJUSTASMALLSAMPLINGOFTHELITERATURE,CONSIDERINGARTICLESOFPARTICULARINTERESTTOTHEPRESENTWORK,ANDISNOTINTENDEDTOBEAREPRESENTATIVESURVEYOFTHELITERATUREINTHEFIELD362VOLUMEEDITEDBYBABUSˇKAETAL1983PRESENTSADAPTIVETECHNIQUESFORTHEFEMANDTHEFINITEDIFFERENCEMETHODFDMRELATIVELYRECENTTEXTBOOKSINTHEFEMEMPHASIZETHEFIELDOFADAPTIVESOLUTIONTECHNIQUESFOREXAMPLE,THEBOOKBYZIENKIEWICZANDTAYLOR1989INCLUDESACHAPTERON‘‘ERRORESTIMATIONANDADAPTIVITY’’CHAPTER14,WHICHISSUPPLEMENTEDBYTHEPAPERSBYZIENKIEWICZANDZHU1992A,B,1994MOREOVER,THEBOOKBYSZABOANDBABUSˇKA1991ISPRIMARILYDEDICATEDTOTHISSUBJECTTHEFIRSTPAPERSONADAPTIVEFINITEELEMENTSAPPEAREDINTHEEARLYSEVENTIESSINCETHEN,ANEXPLOSIVENUMBEROFPAPERSONTHESUBJECTHAVEBEENPUBLISHEDINTHETECHNICALLITERATUREBABUSˇKAANDRHEINBOLDT1978PRESENTEDAPIONEERINGPAPERABOUTERRORESTIMATESBYEVALUATINGTHERESIDUALSOFTHEAPPROXIMATESOLUTIONANDUSINGTHEMTOOBTAINLOCAL,MOREACCURATEANSWERSTHEYDEVELOPEDTHEMATHEMATICALBASISOFSELFADAPTIVETECHNIQUESWITHTHECONCEPTOFAPOSTERIORIERRORESTIMATES,ONECANDEVELOPASELFADAPTIVESTRATEGYFORTHEFEMSUCHTHATONLYCERTAINELEMENTSSHOULDBEREFINEDZIENKIEWICZETAL1982PRESENTEDAHIERARCHICALAPPROACHFORSELFADAPTIVEMETHODSINTHEEARLY1980S,COMPUTERGRAPHICSTECHNIQUESSTARTEDTOBEUSEDASSTANDARDTOOLSBYMESHGENERATIONPROGRAMSSHEPHARD1986PUBLISHEDAPAPERWHEREGEOMETRICMODELINGANDAUTOMATICMESHGENERATIONTECHNIQUESWEREUSEDINCONJUNCTIONWITHSELFADAPTIVEMETHODSZIENKIEWICZ

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