摘要
[目的]针对有限元法处理弹体侵彻船用钢板时因网格畸变而无法准确模拟破口破坏形态及其形成的动态过程的问题,[方法]采用基于物质点法(Material Point Method,MPM)构建弹体侵彻舰船板壳结构的数值仿真模型,模拟弹体在侵彻过程中的破甲特性。将在不同初速度下侵彻5和10 mm厚靶板后的破口及塑性变形模拟结果与实验结果进行对比,以验证所提方法的有效性。[结果]结果表明:物质点法的模拟结果与实验结果吻合较好;弹体侵彻靶板的破口以及塑性变形区基本保持不变,且破口略大于弹体直径;弹体对靶板的破坏属于冲塞形式的穿甲破坏;半球形弹体以低、中、高的速度侵彻舰船外壳的靶板破坏形式属于冲塞破坏模式,速度大小对靶板的破口影响不大,而对靶板破口处隆起的高度影响较大。[结论]所提数值方法可为研究导弹侵彻舰船板壳提供新的有效途径,计算结果可为舰船结构的防护设计提供参考依据。
[Objectives]The FE method cannot accurately simulate crevasse patterns and the crevasseforming process when dealing with a projectile penetrating into a ship's plate because of mesh distortion.[Methods]To this end,this paper establishes a numerical simulation model of a projectile's penetratingshell structure based on the Material Point Method(MPM)and successfully simulates the failure processof crevasses. A comparison is made between the simulation results and the experimental results,showingthat the MPM simulation results match the experimental results more closely, thus verifying theeffectiveness of researching the crevasse failure process in the context of a projectile penetrating a ship'splate and providing a new approach to researching missiles penetrating a ship's shell plate. On the basis ofthe simulation model,simulations are made of a projectile penetrating 5 mm and 10 mm target plates withvarious velocities.[Results]The findings indicate that the crevasse size and plastic deformation area ofthe target plates are basically unchanged,and the crevasse size is slightly larger than the diameter of theprojectile,with a 'washing crevasse' fracture mode. The target plate exhibits a plugging failure mode whenhemispherical head projectiles penetrate such as the hull of shup at low,medium and high speed,and thespeed has little influence on the size of the crevasses in the target plates while having a great influence onthe height of the bump at the crevasse.[Conclusions]The results of this study can provide useful referencesfor the protection design of ship structures.
引文
[1]宁建国,王成,马天宝.爆炸与冲击动力学[M].北京:国防工业出版社,2010.
[2]LUCY L B.A numerical approach to the testing of the fission hypothesis[J].Astronomical Journal,1977,82(12):1013-1024.
[3]张雄,刘岩.无网格法[M].北京:清华大学出版社,2004:1-10.
[4]张雄,宋康祖,陆明万.无网格法研究进展及其应用[J].计算力学学报,2003,20(6):730-741.ZHANG X,SONG K Z,LU M W.Research progress and application of meshless method[J].Chinese Journal of Computational Mechanics,2003,20(6):730-741(in Chinese).
[5]SULSKY D,CHEN Z,SCHREYER H L.A particle method for history-dependent materials[J].Computer Methods in Applied Mechanics and Engineering,1994,118(1/2):179-196.
[6]SULSKY D,ZHOU S J,SCHREYER H L.Application of a particle-in-cell method to solid mechanics[J].Computer Physics Communications,1995,87(1/2):236-252.
[7]LIAN Y P,ZHANG X,LIU Y.Coupling of finite element method with material point method by local multi-mesh contact method[J].Computer Methods in Applied Mechanics and Engineering,2011,200:3482-3494.
[8]MA Z T,ZHANG X,HUANG P.An object-oriented MPM framework for simulation of large deformation and contact of numerous grains[J].CMES-Computer Modeling in Engineer&Science,2010,55(1):61-87.
[9]马上,张雄,邱信明.超高速碰撞问题的三维物质点法[J].爆炸与冲击,2006,26(3):273-278.MA S,ZHANG X,QIU X M.Three-dimensional material point method for hypervelocity impact[J].Explosion and Shock Waves,2006,26(3):273-278(in Chinese).
[10]周旭,张雄.物质点法数值仿真(软件)系统及应用[M].北京:国防工业出版社,2015:1-9.
[11]张雄,廉艳平,刘岩,等.物质点法[M].北京:清华大学出版社,2003:15-27.
[12]马上.冲击爆炸问题的物质点无网格法研究[D].北京:清华大学,2009.MA S.Material point meshfree methods for impact and explosion problems[D].Beijing:Tsinghua University,2009(in Chinese).
[13]BARDENHAGEN S G.Energy conservation error in the material point method for solid mechanics[J].Journal of Comutational Physics,2002,180:383-403.
[14]廉艳平,张帆,刘岩,等.物质点法的理论和应用[J].力学进展,2013,43(2):237-264.LIAN Y P,ZHANG F,LIU Y,et al.Material point method and its applications[J].Advances in Mechanics,2013,43(2):237-264(in Chinese).
[15]张林,张祖根,秦晓云,等.D6A、921和45钢的动态破坏与低压冲击特性[J].高压物理学报,2003,17(4):305-310.ZHANG L,ZHANG Z G,QIN X Y,et al.Dynamic fracture and mechanical property of D6A,921 and 45steels under low shock pressure[J].Chinese Journal of High Pressure Physics,2003,17(4):305-310(in Chinese).
[16]许庆新.基于SPH方法的冲击动力学若干问题研究[D].上海:上海交通大学,2009.XU Q X.Study of some impact dynamics problems based on smoothed particle hydrodynamics method[D].Shanghai:Shanghai Jiao Tong University,2009(in Chinese).
[17]程素秋,陈高杰,赵红光.聚能战斗部对双层靶板结构毁伤的数值模拟研究[J].中国舰船研究,2013,8(2):53-57.CHENG S Q,CHEN G J,ZHAO H G.Numerical damage analysis of shaped charge warheads on double-deck target plates[J].Chinese Journal of Ship Research,2013,8(2):53-57(in Chinese).
