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1、浙江大學(xué)航空航天學(xué)院博士學(xué)位論文無網(wǎng)格法及液體射流高速碰撞與侵徹模擬姓名:馬利申請學(xué)位級別:博士專業(yè):固體力學(xué)指導(dǎo)教師:郭乙木20070601浙江大學(xué)博:學(xué)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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