简介:Severalquadrilateralshaperegularmeshconditionscommonlyusedinthefiniteelementmethodareproventobeequivalent.Theirinfluenceonthefiniteelementinterpolationerrorandtheconsistencyerrorcommittedbynonconformingfiniteelementsareinvestigated.TheeffectoftheBi-SectionConditionanditsextendedversion(1+α)-SectionConditiononthedegeneratemeshconditionsisalsochecked.ThenecessityoftheBi-SectionConditioninfiniteelementsisunderpinnedbymeansofcounterexamples.
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简介:Freesurfaceflowproblemsinvolvinglargefreemotionsareanalysedusingfiniteelementtechniques.InsolvingtheseproblemsanArbitraryLagrangian-Eulerian(ALE)kinematicaldescriptionofthefluiddomainisadopted,inwhichthenodalpointscanbedisplacedindependentlyofthefluidmotion.Anewmeshtracingmethodisproposedinthispaper.Toconfirmtheeffectivenessofthenewmethod,solitarywavepropagationisanalysedandthenumericalresultsarecomparedwiththeanalyticalresults.ThebehaviouroftheviscousfluidflowwithafreesurfaceisexpressedbytheunsteadyNavier-Stokesequation.Fornumericalintegrationintimethevelocitycorrectionfractionalstepmethodisused.
简介:Anewmeshfreemethodproposedbytheauthorswaspresented,inwhichthederivativesateachnodewereconstructedusingwholederivativeformulasthroughthenodesselectedaroundthenodeusinglocalCartesianframeinanautonomousmanner,sothatwithoutanyelementitcouldbeconsideredasacompletelymeshfreemethod.Themethodwastestedwithanumericalexample,andreliablesolutionwasobtainedwithhighaccuracyandefficiency.
简介:Amethodforfairingasurfacecomposedofasetofdiscretedatapointsdistributedinanonrectangulartopologicalmeshispresented.AllcurvesareexpressedbynonuniformcubicB-splinecurves.Thefairingmethodisminimizingtheelasticstrainenergyofmeshcurvesandofspringsat-tachedtothedatapoints.Thefairingsurfacecanbegeneratedbyinterpolatingthroughthemeshcurves.Thegenerationandfairingofashiphullsurfaceisgivenasanexample.
简介:Thispaperpresentsanapproachwhichenablessurfacemodelling,meshgenerationandtheFiniteElement(FE)analysistobeintegratedtogethertosimulatesuperplasticformingprocessforcomplexshapedcomponents.TechniqueshavebeendevelopedtogenerateanFEmeshovernon-four-sidedsurfaceareas,theboundariesofwhichareBeziercurvesofarbitrarydegree,usingaconsistentexpression.TheoreticalevidenceisgiventodeterminethenumberofBeziertriangularpatchesrequiredforaccuratelyre-constructingdiesurfaceswithinacommercialFEsolver.Thedevelopedtechniqueshavebeensuccessfullyusedindeterminingtheprocessparametersforforminga3Drectangularbox.
简介:AnovelconstructionalgorithmispresentedtogenerateaconformingVoronoimeshforanyplanarstraightlinegraph(PSLG).Itisalsoextendedtotesselatemultiple-intersectedPSLGs.Allthealgorithmsareguaranteedtoconverge.Examplesaregiventoillustrateitsefficiency.