ObtainingaConvergedSolutionwithAbaqusObtainingaConvergedSolutionwithAbaqusDay1•Lecture1IntroductiontoNonlinearFEA•Workshop1NonlinearSpring•Lecture2NonlinearFEAwithAbaqus/Standard•Lecture3SolutionofUnstableProblems•Workshop2ReinforcedPlateUnderCompressiveLoads•Lecture4WhyAbaqusFailstoFindaConvergedSolution•Workshop3CrimpFormingAnalysis•Lecture5ConvergenceProblems:ContactSimulations•Workshop4Contact:BeamLift-Off•Workshop5Contact:Stabilization1ObtainingaConvergedSolutionwithAbaqusDay2•Lecture6ConvergenceProblems:ElementBehavior•Workshop6ElementSelection•Lecture7ConvergenceProblems:ConstraintsandLoading•Lecture8ConvergenceProblems:Materials•Workshop7LimitLoadAnalysis•Workshop8BallImpactObtainingaConvergedSolutionwithAbaqusLegalNoticesTheAbaqusSoftwaredescribedinthisdocumentationisavailableonlyunderlicensefromDassaultSystèmesanditssubsidiaryandmaybeusedorreproducedonlyinaccordancewiththetermsofsuchlicense.Thisdocumentationandthesoftwaredescribedinthisdocumentationaresubjecttochangewithoutpriornotice.DassaultSystèmesanditssubsidiariesshallnotberesponsiblefortheconsequencesofanyerrorsoromissionsthatmayappearinthisdocumentation.NopartofthisdocumentationmaybereproducedordistributedinanyformwithoutpriorwrittenpermissionofDassaultSystèmesoritssubsidiary.©DassaultSystèmes,2010.PrintedintheUnitedStatesofAmericaAbaqus,the3DSlogo,SIMULIAandCATIAaretrademarksorregisteredtrademarksofDassaultSystèmesoritssubsidiariesintheUSand/orothercountries.Othercompany,product,andservicenamesmaybetrademarksorservicemarksoftheirrespectiveowners.Foradditionalinformationconcerningtrademarks,copyrights,andlicenses,seetheLegalNoticesintheAbaqus6.10ReleaseNotesandthenoticesat:•WhyUseFEAtoSolveMechanicsProblems?•WhatisConvergence?•WhenisaProblemNonlinear?•PropertiesofLinearProblemsinMechanics•PropertiesofNonlinearProblemsinMechanics•NumericalTechniquesforSolvingNonlinearProblems7WhyUseFEAtoSolveMechanicsProblems?L1.4ObtainingaConvergedSolutionwithAbaqusWhyUseFEAtoSolveMechanicsProblems?•Understandthebehaviorofadesign•Finiteelementanalysis(FEA)isausefultoolforstudyingthebehaviorofvariousmechanicaldesigns.Example:Burstloadanalysisofamicro-channeltube.Tubemustwithstandthreetimesthemaximumworkingpressure.8L1.5ObtainingaConvergedSolutionwithAbaqusWhyUseFEAtoSolveMechanicsProblems?AB2.01.51.00.50.00.5.10.15.[x10-3}XMIN1.463E-05XMAX1.354E-02YMIN1.562E+02YMAX1.725E+03[x103}BulgeDisplacement(in)InternalPressure(psi)A)ComparisonofMisesstressintubeB)PredictedburstpressureintubeOperatingPressureOverloadPressureL1.6ObtainingaConvergedSolutionwithAbaqusWhyUseFEAtoSolveMechanicsProblems?•Reduceproductcostsanddevelopmenttime•FEAcanreduceproductcostsanddevelopmenttimeby:•Identifyingformingproblemspriortotoolingfabrication.•Minimizingtoolingrework(seethefollowingfigure).•Reducingoverallprototypingeffortwhileidentifyingshortcomingsinthedesign.•Minimizingtheamountofmaterialusedduringfabrication.9L1.7ObtainingaConvergedSolutionwithAbaqusWhyUseFEAtoSolveMechanicsProblems?IncorporatingFEAindevelopmentcyclestamppre-prototypepartsinitialdesignfabricate“soft”toolingnumericalsimulationdesignmodificationsreworksofttoolingstampproductionpartsreworkhardtoolingstampprototypepartsfabricate“hard”toolingnumericalsimulationL1.8ObtainingaConvergedSolutionwithAbaqusWhyUseFEAtoSolveMechanicsProblems?•Onlywaytogetananswer•FEAcanbeusedtopredicttheabilityofadesigntowithstandextremeloadingconditionsthatcannotbeduplicatedinanexperiment.•Hopefullytheseextremeloadingconditionswillbeconsideredearlyinthedesignprocess.•Anexampleofsuchafiniteelementanalysisisthesimulationoftheabilityofanoffshoreplatformtowithstandtheforcesproducedbyahundred-yearstorm.10L1.9ObtainingaConvergedSolutionwithAbaqusWhyUseFEAtoSolveMechanicsProblems?•Unfortunatelysomeextremeloadingconditionsareneverimaginedduringthedesignprocess.•Considerthecaseofthebucklingofasolarpanelunderaseverethermaltransient.•Thepanelneverreturnedtoitsoriginalconfigurationwhenthenormaloperatingtemperaturewasrestored,renderingituseless.•Itwouldhavebeenextremelydifficulttosimulatethisloadingonthestructure,whichisover120-incheslong,inalaboratory;FEAwastheonlytoolavailabletoinvestigatetheproposeddesignmodificationsforsubsequentpanelsthatwere