基于FE-SPH自适应耦合算法对长杆弹侵彻反应装甲的模拟研究
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摘要
该文采用自编程序实现的FE-SPH自适应耦合算法对长杆弹侵彻反应装甲的过程开展了数值模拟研究。为了实现反应装甲中的凝聚炸药在长杆弹冲击作用下的起爆过程,在FE-SPH自适应耦合算法中嵌入了凝聚炸药的点火-增长模型。该文首先应用FE-SPH自适应耦合算法对二维轴对称反应装甲冲击起爆模型进行了模拟分析,并以此验证了自适应FE-SPH自适应耦合算法对此类问题模拟的可行性和有效性。其次,针对长杆弹斜侵彻反应装甲的过程进行模拟,再现了反应装甲动态响应干扰长杆弹入侵的过程。通过与相关实验数据结果及其他方法模拟的结果对比,FE-SPH自适应耦合方法能够有效地对长杆弹侵彻反应装甲和后效目标靶进行一体化仿真。
The process of a long-rod projectile penetrating reactive armor is simulated based on the self-code adaptive coupling method of Finite Element-Smoothed particle hydrodynamics(FE-SPH). An ignition and growth model is incorporated into the FE-SPH adaptive coupling method to reproduce the detonation process of condensed explosive which is initiated by the penetrating of a long-rod projectile. A two-dimensional axisymmetric model for a long-rod projectile penetrating reactive armor is firstly simulated and compared with theoretical solution to verify the effectiveness of FE-SPH adaptive coupling method. Then, the process of long-rod projectile oblique penetrating into a reactive armor is simulated and analyzed by the FE-SPH adaptive coupling method. The efficiency of reactive armor responses to long-rod projectile penetrating is successfully reproduced in the simulation. Compared with the experiment data and other numerical results, it is indicated that the FE-SPH adaptive coupling method can be able to integrate the simulation of a long-rod projectile penetrating reactive armor and subsequent targets.
The process of a long-rod projectile penetrating reactive armor is simulated based on the self-code adaptive coupling method of Finite Element-Smoothed particle hydrodynamics(FE-SPH). An ignition and growth model is incorporated into the FE-SPH adaptive coupling method to reproduce the detonation process of condensed explosive which is initiated by the penetrating of a long-rod projectile. A two-dimensional axisymmetric model for a long-rod projectile penetrating reactive armor is firstly simulated and compared with theoretical solution to verify the effectiveness of FE-SPH adaptive coupling method. Then, the process of long-rod projectile oblique penetrating into a reactive armor is simulated and analyzed by the FE-SPH adaptive coupling method. The efficiency of reactive armor responses to long-rod projectile penetrating is successfully reproduced in the simulation. Compared with the experiment data and other numerical results, it is indicated that the FE-SPH adaptive coupling method can be able to integrate the simulation of a long-rod projectile penetrating reactive armor and subsequent targets.
引文
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[18]Xiao Y H,Hu D A,Han X,Yang G,Long S Y.Simulation of normal perforation of aluminum plates using axisymmetric smoothed particle hydrodynamics with contact algorithm[J].International Journal of Computational Methods,2013,10(3):1―21.
[19]肖毅华,胡德安,韩旭,杨刚.一种自适应轴对称FEM-SPH耦合算法及其在高速冲击模拟中的应用[J].爆炸与冲击,2012,32(4):384―392.Xiao Yihua,Hu De’an,Han Xu,Yang Gang.An adaptive axisymmetric FEM-SPH coupling algorithm and its application to high velocity impact simulation[J].Explosion and Shock Waves,2012,32(4):384―392.(in Chinese)
[20]林大金.长管体侵彻反应装甲及主装甲的工程模型[D].南京:南京理工大学,2006.Lin Dajin.Engineering model of penetration of reactive and main armor by tube[D].Nanjing University of Science and Technology,2006.(in Chinese)
[2]贾鑫,黄正详,祖旭东,顾晓辉.聚能装药垂直侵彻橡胶复合装甲的变形研究[J].工程力学,2013,30(2):451―457.Jia Xin,Huang Zhengxiang,Zu Xudong,Gu Xiaohui.Research on deformation of rubber composite armor against shaped charge vertical penetration[J].Engineering Mechanics,2013,30(2):451―457.(in Chinese)
[3]兰彬,文鹤鸣.半球形弹头钢长杆弹侵彻半无限铝合金靶的数值模拟[J].工程力学,2009,26(10):183―190.Lan Bin,Wen Heming,Numerical simulation of the penetration of a spherical-nosed 4340 steel long rod into semi-infinite 6061-T6511 aluminum targets[J].Engineering Mechanics,2009,26(10):183―190.(in Chinese)
[4]伍乾坤,韩旭,谭柱华,胡德安.考虑攻角的长杆弹斜穿透中厚铝靶机理[J].工程力学,2012,29(6):338―345.Wu Qiankun,Han Xu,Tan Zhuhua,Hu De’an.Mechanism of perforation of inclined moderately thick aluminum target by long-rod projectile with yaw[J].Engineering Mechanics,2012,29(6):338―345.(in Chinese)
[5]顾叶青.爆炸式反应装甲对长杆弹作用机理的研究[D].南京:南京理工大学,2004.Gu Yeqing.Research of the interference of explosive reactive armor to long-rod projectile[D].Nanjing:Nanjing University of Science and Technology,2004.(in Chinese)
[6]Arnold W,Rottenkolber E.Fragment mass distribution of metal cased explosive charges[J].International Journal of Impact Engineering,2008,35(12):1393―1398.
[7]韩亚伟,强洪夫,刘虎.双股液体射流撞击雾化的SPH方法数值模拟[J].工程力学,2013,30(3):17―23.Han Yawei,Qiang Hongfu,Liu Hu.Numerical simulation of two liquid impinging jets with SPH method[J].Engineering Mechanics,2013,30(3):17―23.(in Chinese)
[8]Liu M B,Liu G R.Smoothed particle hydrodynamics(SPH):An overview and recent developments[J].Archives of Computational Methods in Engineering,2010,17(1):25―76.
[9]Yang G,Fu Y K,Hu D A,Han X.Feasibility analysis of SPH method in the simulation of condensed explosives detonation with ignition and growth model[J].Computers&Fluids,2013,88:51―59.
[10]孔详韶,吴卫国,杜志鹏,陈攀.圆柱形战斗部爆炸破片特性研究[J].工程力学,2014,31(1):243―249.Kong Xiangshao,Wu Weiguo,Du Zhipeng,Chen Pan.Research on fragments characteristic of cylindrical warhead[J].Engineering Mechanics,2013,30(2):451―457.(in Chinese)
[11]张伟,胡德安,韩旭.陶瓷/金属复合装甲冲击响应的三维SPH法分析[J].爆炸与冲击,2011,31(4):373―379.Zhang Wei,Hu De’an,Han Xu,et al.Three-dimensional SPH analysis of impact responses of ceramic/metal composite armors[J].Explosion and Shock Waves,2011,31(4):373―379.(in Chinese)
[12]Shigeki Yashiro,Keiji Ogi,Akinori Yoshimura,et al.Characterization of high-velocity impact damage in CFRP laminates:Part II–prediction by smoothed particle hydrodynamics[J].Composites:Part A,2014,56:308-318.
[13]Wang Qingtao,Zhang Qingming,Huang Fenglei,et al.An analytical for the motion of debris clouds induced by hypervelocity impact projectiles with different shapes on multi-plate structures[J].International Journal of Impact Engineering,2014,74:157―164
[14]Johnson G R.Linking of Lagrangian particle methods to standard finite element methods for high velocity impact simulations[J].Nuclear Engineering and Design,1994,150(2/3):265―274
[15]杨刚,梁超,刘平,胡德安.基于三维FE-SPH自适应耦合算法的子弹侵彻混凝土靶跳飞问题模拟[J].工程力学,2013,30(9):276―282.Yang Gang,Liang Chao,Liu Ping,Hu De’an.Numerical simulation of ricochet problem of projectile penetrating into concrete target based on 3D FE-SPH adaptive coupling algorithm[J].Engineering Mechanics,2013,30(9):276―282.(in Chinese)
[16]Tarver C M,Tao W C,Lee C G.Sideways plate push test for detonating solid explosives[J].Propellants,Explosives,Pyrotechnics,1996,21:239-246.
[17]张雄,王天舒,计算动力学[M].北京:清华大学出版社,2007:285―288.Zhang Xiong,Wang Tianshu.Computational dynamics[M].Beijing:Tsinghua University Press,2007:285―288.(in Chinese)
[18]Xiao Y H,Hu D A,Han X,Yang G,Long S Y.Simulation of normal perforation of aluminum plates using axisymmetric smoothed particle hydrodynamics with contact algorithm[J].International Journal of Computational Methods,2013,10(3):1―21.
[19]肖毅华,胡德安,韩旭,杨刚.一种自适应轴对称FEM-SPH耦合算法及其在高速冲击模拟中的应用[J].爆炸与冲击,2012,32(4):384―392.Xiao Yihua,Hu De’an,Han Xu,Yang Gang.An adaptive axisymmetric FEM-SPH coupling algorithm and its application to high velocity impact simulation[J].Explosion and Shock Waves,2012,32(4):384―392.(in Chinese)
[20]林大金.长管体侵彻反应装甲及主装甲的工程模型[D].南京:南京理工大学,2006.Lin Dajin.Engineering model of penetration of reactive and main armor by tube[D].Nanjing University of Science and Technology,2006.(in Chinese)