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  光滑粒子流体动力学是一种纯 Lagrangian 的无网格数值计算方法,可以很好地处理动态载荷下材料大变形问题。采用SPH方法对射流成形和拉伸进行初步研究,给出求解爆炸和射流成形的力学模型和离散格式,针对一定锥角药型罩射流成形进行数值研究。结果表明,对爆炸、射流成形等瞬态动力学问题,SPH方法是行之有效的,但在计算过程中也存在数值断裂和应力不稳定等问题。

Smoothed particle hydrodynamics,as a total Lagrangian meshfree numerical simulation method,can solve large deformation problems under dynamic loading. Mechanics model and discrete formula were presented. Numerical simulation of shaped charge jet forming process with a certain cone angle was studied. The study shows that SPH is a valid method to simulate transient dynamics problems,such as exploding,shaped charge jet,and so on,but some numerical flaws,like numerical fracture and tensile instability,will coexist.

参考文献

[1] Liu G R;Liu M B.Smoothed particle hydrodynamics:a mesh-free particle method[M].Singapore:World Scientific,2003:190-239.
[2] Liu MB.;Liu GR.;Lam KY. .A one-dimensional meshfree particle formulation for simulating shock waves[J].Shock Waves,2003(3):201-211.
[3] Liu MB.;Liu GR.;Lam KY.;Zong Z. .Meshfree particle simulation of the detonation process for high explosives in shaped charge unlined cavity configurations[J].Shock Waves,2003(6):509-520.
[4] M. B. Liu;G. R. Liu;Z. Zong;K. Y. Lam .Computer simulation of high explosive explosion using smoothed particle hydrodynamics methodology[J].Computers & Fluids,2003(3):305-322.
[5] M.B. LIU;G.R. LIU;K.Y. LAM;Z. ZONG .Computer Simulation of Shaped Charge Detonation Using Meshless Particle Method[J].Fragblast,2003(3):181-202.
[6] Liu MB.;Liu GR.;Lam KY. .Investigations into water mitigation using a meshless particle method[J].Shock Waves,2002(3):181-195.
[7] 宗智,邹丽,刘谋斌,王喜军.模拟二维水下爆炸问题的光滑粒子(SPH)方法[J].水动力学研究与进展A辑,2007(01):61-67.
[8] Liu MB;Liu GR;Lam KY .Adaptive smoothed particle hydrodynamics for high strain hydrodynamics with material strength[J].Shock Waves,2006(1):21-29.
[9] C. E. ZHOU;G. R. LIU;K. Y. LOU .THREE-DIMENSIONAL PENETRATION SIMULATION USING SMOOTHED PARTICLE HYDRODYNAMICS[J].International journal of computational methods,2007(4):671-691.
[10] Lucy L B .A numerical approach to the testing of the fission hypothesis[J].Astronomical Journal,1977,82:1013-1024.
[11] Gingold R A;Monaghan J J .Smoothed particle hydrodynam-ics:theory and application to no-spherical stars[J].Monthly Notices of the Royal Astronomical Society,1977,181:375-398.
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