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1、浙江大學航空航天學院博士學位論文無網格法及液體射流高速碰撞與侵徹模擬姓名:馬利申請學位級別:博士專業(yè):固體力學指導教師:郭乙木20070601浙江大學博:學位論文AbstractTothehighspeedimpactproblem,fluid—solidinteraction,dynamicallhctureandlargedeformationproblems,thelargedeformationwillinducetothela
2、rgedistortionofthefiniteelementmeshandmadethereductionofprecisionf咖theterminationofcomputationbysingularity;ontheotherhand,thecomputationaltimestepofFEAdependedontheminimumsizeofmesh。thedistortionofmeshmadethetimestepbec
3、ameverysmalI,whichmadethewholecalculationtimeextendedandtheaccumulatedelrorincrescontAIsothereconstructionofmeshwillconsumelargecomputationcostindealingwithdynamicalfractureproblemToovercomethesedifncultiesofFEAthemeshfr
4、eemethodwasdevelopedinrecenttwodecadesandbecamethehompotofcomputationalphysicsandmechanicsByseriesparticleswithoutanymeshstructurethemeshfreemethod啪avoidabovedifneultiesofFEAThemainworkofthispaperfocusedontheflgorithmand
5、applicationofthemeshfreemethod,TheprocessofmeshfreemethodincludedthecomputationofshapefunctionboundaryconditionsandintegralschemeandsoonTheboundarycharacteristicsofKelfieIfunctionMLSmethodandRKPMwascomparedandthe“virtual
6、particlemethod”waspresentedtoireprovetheboundaryaberrationofSPHUsuallytheshapefunetionofmeshfreemethodwash’timerpolationfunction,whichwasallobstacletoapplytheessentialboundaryconditionsSothedit℃ctmethod1agrangemultiplier
7、methodandpointinterpolationmethodweleusedtodealwiththeboundaryconditionsandtheresultindicatedtheadvantageofLagrangemultipliermethodThecomputationalexampleofcantileverilluminatedtheresultsensitivityt0thesmoothinglengthofs
8、upportradiuswhenusesinglepointintegralschemeinEFGmethodhoweverincreasethenumberofintegralpointscandecreasethesensitivityandireprovethecalculationprecisionOntheaspectofapplicationofmeshfreemethodtheLagrangeFEAmethodALEmet
9、hodandSPHmethodwasusedtosimulatetheprocessofwaterjetimpaetwiththerigidsurfaceandthecomparisonofresultprovedt11emeritofSPHfromtheDointofprecisionandcostAIsotheAluminumfluidietimpactwimthe^gidsurfacewascomputedinwhichthevo
10、ronoieellwasadloptedtoassigntheinitiallocationandmassofparticlesandthevariablesmoothingIongthwasconsideredTheprocessofAluminumfluidietstrikedtherigidsurfaceandenteredintothestableflowwasanalyzed;theresultindicatedtheprop
11、ertiesofwavepropagationanddispersionAtthesametime,onthebaseoffluidietimpactwithrigidsurface,thecoupledSPHandFEAmethodwaspresentedtosimulatetheimpactandpenetrationofwaterjetwitbplastictargetTheeffectofhigllstrainrateandra
12、tedependenteffectoftargetmaterialwereconsideredandtheJohnsonCookmodelwasusedinnumericaIsimulation,BytIlesimulationresultofhalfinfinitetargetandmiddlethicknesstargetthelinearrelationbetweenjetvelocityandpenetrationdepthan
13、dradiuswasacquiredwhichwasconsistentwitl,theexperimentaldataofJitemtoresandtheresultalsoshowedtheprocessoffracturewasdevelopedwithaIimitedspeedwhichwasaprocesswithenergyaccumulationandexhibitedlageffectunderhJ曲strainrate
14、loadThemultiscaletheorycombinedRKPMandwaveletanalysiswasintreducedinthelastpartofthepaperthemultiscaleanalysiswaslinkedwithshapefunctiontoconstructthemultiscaleformulationofdisplacementandstressfieldAIsotheadaptivealgori
15、thmofmultiscaleRKPMmethodandthetheoryandapplicationofwaveletfinitcelementwereintroducedKeywords:meshfreemethodsmoothingparticlebydradynamicsreproducingkernelpartickmethodfmiteelementanalysisfluidjethigh—velocityimpactpen
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