AnadaptiveaxisymmetricFEM-SPHcouplingalgorithmand itsapplicationtohighvelocityimpactsimulation
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摘要: 为了准确、高效地模拟高速冲击问题,提出了一种自适应轴对称有限元(FEM)-光滑粒子流体动力 学(SPH)耦合算法。该算法在初始时刻全部采用FEM 计算,在动态变形过程中自动将畸变单元转化为粒 子,采用SPH 计算。该算法采用一种新的耦合算法实现单元与粒子间的高精度耦合,并应用最小内角转化准 则和单元分组转化方式实现单元向粒子的自动转化。计算了几个典型的高速冲击问题:首先,通过计算应力 波传播测试了新的单元-粒子耦合算法的精度;然后,通过计算泰勒杆问题验证了自适应耦合算法及相应程序 的正确性;最后,计算了弹体侵彻铝板和混凝土板。结果表明:自适应耦合算法计算精度好且效率高,适合模 拟高速冲击问题。Abstract: Anadaptiveaxisymmetricfiniteelementmethod(FEM)-smoothedparticlehydrodynamics (SPH)couplingalgorithmisproposedtoaccuratelyandefficientlysimulatehighvelocityimpactproblems. ItusesFEMtocalculateatthebeginning.Duringthedeformationprocess,itautomatically convertsdistortedelementstoparticlesandusesSPHforcalculationattheseregionswheredistorted elementsappear.Intheadaptivecouplingalgorithm,anewcouplingalgorithmisappliedtolinkelementsandparticlesaccurately, andaminimuminterioranglecriterioncombinedwithagroup-based conversionmannerisadoptedtoconvertelementstoparticles.Severaltypicalhighvelocityimpact problemsarecalculated.Firstly,thestresswavepropagationiscalculatedtotesttheaccuracyofthe newelement-particlecouplingalgorithm.Then,theTaylortestiscalculatedtovalidatetheadaptive couplingalgorithmandthecorrespondingcode.Finally,thesimulationofprojectilespenetratingaluminumandconcreteplatesispresented. Theresultsshowthattheadaptivecouplingalgorithmisaccurateandefficientanditisverysuitableforthesimulationofhighvelocityimpact.
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Key words:
- solidmechanic /
- adaptivecoupling /
- FEM /
- highvelocityimpact /
- SPH
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