EFP成型及其终点效应研究
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摘要
作为一种反坚固目标技术,爆炸成型弹丸(以下简称为EFP)在末敏弹武器系统中发挥着重要的作用,随着各种新型防护技术的迅猛发展,对EFP的技术要求也越来越高。为对付不同场合下的目标,出现了许多不同结构形状药型罩形成的EFP,通过对药型罩几何形状及装药结构的不断改进,使其具有更快、更远、更准的破甲能力。在大炸高条件下,EFP的飞行稳定性将直接影响到打击目标的精度,如何保证在远距离下稳定飞行成为制约该技术进一步应用的难点之一。尾翼由于可以提高EFP的飞行稳定性,因此,研究人员利用多种方法实现带有尾翼的EFP,包括多点起爆法、异形壳体法、波形控制器和三维药型罩技术。
     本文提出隔板法形成尾翼,该方法主要是通过在药型罩上粘贴隔板,利用隔板改变爆轰波波阵面的结构形状,使药型罩上的爆轰压力发生规律性变化,最终形成尾翼型EFP。
     首先在理论上分析了隔板对药型罩微元上压垮速度和压力的影响规律,通过对影响规律的分析证明隔板法形成尾翼的可行性。采用铝为隔板材料,在药型罩上对称布置四个几何尺寸相同的隔板,通过回收实验得到带有四个尾翼的EFP。结合实验条件,采用LS-DYNA对隔板法形成尾翼进行数值模拟,根据数值模拟结果,在药型罩上选取具有一定代表性的微元,根据药型罩微元上速度和压力的变化曲线,对贴隔板法形成尾翼的可行性作了进一步的分析。
     结合不同的药型罩形状,对两种EFP速度工程算法及其应用范围进行了分析对比,并将实测值和数值模拟进行对比,同时,从能量守恒法出发,推导了贴隔板法形成尾翼EFP的速度计算方法,并将理论计算结果与数值模拟结果进行分析对比。根据EFP空中飞行衰减规律,编制了MATLAB计算程序,通过自编程序可以计算不同药型罩及装药结构的EFP速度,并可以得到不同飞行距离下的EFP速度。由于EFP速度是评价其破甲威力的一个重要指标,因此,分析影响EFP速度的主要因素在战斗部设计中具有重要的指导意义。根据EFP速度的计算方法,首先在理论上计算出12种不同方案的大锥角药型罩EFP的速度,并结合数值模拟得到结果,采用灰色理论对影响EFP速度的因素进行分析,建立各个因素与EFP速度之间对应的灰关联度矩阵。通过对灰关联度矩阵的分析,得到影响EFP速度的主要因素。
     EFP对靶板的侵彻是一个非常复杂的物理力学过程,其侵彻过程不同于刚性弹体对靶板的侵彻,也不同于高速流体对靶板的侵彻,是一种介于刚性弹和射流之间的高速柔性侵彻体。通过实验对尾翼EFP和准球形EFP的侵彻性能进行了相应的研究,并通过数值模拟得到准球形EFP侵彻钢靶的全过程,详细分析了EFP侵彻靶板时三个典型的阶段。
     有效装药研究对提高炸药的能量利用率及减轻战斗部重量具有重要的意义,如何在合理的装药结构下获得最大的动能对EFP战斗部的优化设计具有一定的研究价值。通过对有效装药的理论分析,以大锥角药型罩为研究对象,结合数值模拟对大锥角型药型罩在不同装药长径比下EFP速度和能量利用率的变化规律进行了分析。最后,利用LS-DYNA对不同船尾型装药结构进行数值计算并提出两种装药结构优化方案。
As a technology of inversing solidity target,the EFP play an important role in the weapon system of terminal-sensitive projectiles.The requirement of EFP technology become more higher with the rapid development in new-style protection technology.In order to coping with different target in different situation,many EFPs are appeared which is formed in different structure shaped charge liner.The damage ability of EFP becomes more rapid more far and more accurate by changing the geometry of shaped charge liner and charge structure.The flight stability of EFP will directly affect attacking precision in the condition of high stand-off.How to guarantee the flight stability under long distance becomes a difficult point of restricting the applicttion of EFP technology further.Fins is able to enhance the flight stability,so many researchers realized EFP with fins by using of various methods including multi-point initiation,special-shaped shell,wave-shaped and three-dimensional liner. This paper presents a way to form fins by using of pasting clapboard.The structural shape of detonation wave front is changed by clapboard which is affixed on the liner, then the detonation pressure on the liner results in regular changes which lead to form EFP with fins.
     The influence law of velocity and pressure on liner is anlysised in the theory,and then the feasibility of clapboard methods is confirmed by anlysising the influence law. The EFP with four fins is obtained by recovery experiment.Four piece of aluminium as a clapboard material is symmetrical affixed on the liner in this experiment.The numerical simulation on clapboard methods forming fins is simulated by LS-DYNA according to the condition of the experiment.Based on the results of the numerical simulation,some liner infinitesimal elements with a certain reperesentativeness is selected.The feasibility of clapboard methods is anlysised further from the velocity and pressure curve on the liner.
     Based on the energy conservation and momentum conservation,combined with different geometry of shaped charge liner,compared with experiment and numerical simulation results,two engineering algorithms and the application range of EFP are comparative analysised.The calculation method of EFP velocity which is formed by clapboard methods is derived,at the same time;the results between theoretical calculation and numerical simulation are compared.The velocity of EFP is an important index to assessment on the penetration power,so it is very important to anlysis the influencing factors of the EFP's velocity.Based on the calculation method of EFP,the velocity of large cone angle liner of twelve different schemes is calculated in the theory,combined with the results of numerical simulation,the influencing factors of the EFP's velocity are anlysised by grey theory,and the grey correlation degree matrix between the EFP's velocity and every influencing factors is established, then the major influencing factors are obtained.
     It is a very complex physical and mechanical process about the EFP penetrating target plate.The process is different from the rigid projectile body and high velocity jet penetrating target plate which lies between them.The penetration performance of EFP with fins and pseudo-spherical EFP are researched by experiment,and the whole process of the EFP penetrating target plate is obtained by numerical simulation,at the end,three typical stages of penetrating process is anlysised in detail.
     The study on effective charge has a very important significance in increasesing the ratio of energy utilization and reducing the weight of warhead.How to obtain the maximum kinetic energy under reasonable designing the charge structure has a certain research value in optimization designing the EFP warhead.The large cone angle liner is taken as a research object,combined with theoretical analysis and numerical simulation on effective charge.The change law of EFP's velocity,kinetic energy and the ratio of energy utilization are anlysised which is obtained by the large cone angle liner under different length-diameter ratio of shaped charge.At the last, the numerical simulation about different ship-tail shaped charge is calucated by LS-DYNA and corresponding optimization scheme of charge structure is presented.
引文
[1]Walters W.P,Zukas J.A.Fundamentals of Shaped Charges[M],1992
    [2]Chris A W.Spinning self-forging fragment and shaped charges[D].Drexel University,1986
    [3]Murphy M J.Shaped charge penetration in concrete:a unified approach[D].University of California,Davis,1983
    [4]徐流恩,李永池,林加剑.尾裙式EFP的三维数值模拟及实验研究[J].防护工程,2008,30(4):15-19
    [5]李成兵.聚能杆式弹丸成型技术与终点毁伤效应研究[D].中国科学技术大学,博士论文,2007
    [6]David Bender,Bounmy Chhouk,Richard Fong.Explosively formed penetrators(EFP) with canted fins[A].19~(th) International Symposium on Ballistics[C],Interlaken,Switzerland,2001(5):7-11
    [7]李成兵,沈兆武,赵慧英等.带尾翼爆炸成形弹丸成形机理初探[J].中国科学技术大学学报,2006,36(4):383-397
    [8]Bouet T H,Tarayre P,Guillon J P.Study of a multi-point ignition EFP[A].15~(th) International Symposium on Ballistics[C].Israel,1995:159-166.
    [9]Joseph C,David E B,Richard Fong.A unique method of providing an explosively formed penetrator with fins[A].17~(th) International Symposium on Ballistics[C],Midrand,South Africa.The South African Ballistics Organisation,1998:55-62
    [10]Weimann K.Flight stability of EFP with star shaped tail[A].15~(th) International Symposium on Ballistics[C].Queber,Canada,1993:755-763
    [11]门建兵,蒋建伟,万丽珍.带尾翼EFP形成的三维数值模拟研究[J].北京理工大学学报,2002,22(2):166-168
    [12]于川,董庆东,孙承纬等.带尾翼翻转型爆炸成形弹丸试验研究[J].爆炸与冲击,2003,23(6):561-564
    [13]赵慧英,沈兆武,李成兵等.带尾翼爆炸成形弹丸的新技术[J].含能材料,2006,14(2):102-104
    [14]Birkhoff,G,MacDougall,D P,Pugh,E M and Taylor,G.Explosives with Lined Cavities.J.Appl.Phys.,Vol.19,pp:563-582,June 1948
    [15]Eather,R F and Griffiths,N.Some Historical Aspects of the Development of Shaped charges.Report 2/84,Royal Armament Research and Development Establishment,U.K.,1984
    [16]Eichelberger,R J.Re-Examination of the Theories of Jet Formation and Target Penetration by Lined Cavity Charges.Doctoral Dissertation,Carnegie Institute of Technology,Pittsburgh,Pa,1954
    [17]Wood,R W.Optical and Physical Effects of High Explosives.Proceedings Royal Society,London,157A,pp:249-261,1936
    [18]Sjogren,A.Study of Wide-Angle Shaped Charges with Flash X-ray Experiments and Computational Continuum Dynamics.Fourth International Symposium on Ballistics,Monterey,California,1978
    [19]E.Schumann.Wirkungssteigerung Beim Hohlsprengkorper(Improvement of the Effect of Hollow Charges).Ordnance Technical Intelligence Bulletin,OTIB 1294-17,February 26,1941
    [20]E.Schumann.The Scientific Basis of the Hollow Charge Effect.Publication BIOS/Gp.2/HEC 5919,Halstead Exploiting Center,England,1945
    [21]L.E.Simon.German Research in World War Ⅱ,New York:Wiley,1947
    [22]任辉启,杨仁华,吴祥云.高效毁伤弹药工程破坏效应研究[R].洛阳:总参工程兵科研三所,2005
    [23]刘飞,王肖均,任辉启.爆炸成型弹丸(EFP)研制及其工程破坏效应研究.中国科学技术大学,博士论文,2006
    [24]何顺录.自锻破片技术的研究进展.北京:北京理工大学出版社,1996
    [25]李维新.常规战斗部的综合设计法.中国兵工学会火箭导弹技术研讨会会议文集.北京应用物理与计算数学研究所,1989
    [26]P.W.Randles.Continuum dynamical simulations of bomb fragmentation.Proc.15~(th)Int.Symp.on Ballistics.Jerusalem,Israel.May 21-24,1995
    [27]G.R.Johnson.Material characterization for warhead computation,in:Joseph Carleoned.Tactical Missile Warheds,1993
    [28]Berner C,Fleck V,Warken D.Aerodynamic predictions of optimized explosively formed penetrators.17~(th) international symposiumon Ballistic.Midrand:South Africa,1998:108-116
    [29]Rodot F.Performance of aerodynamically optimized EFP simulants.17~(th) international symposiumon Ballistic.Midrand:South Africa,1998:81-88
    [30]Weimann K,Blache A.Terminal ballistics of EFP with high L/D-ratio.17~(th) international symposiumon Ballistic.Midrand:South Africa,1998:215-224
    [31]Berner C.Fleck V.Pleat and asymmetry effect on the aerodynamics of explosively formed penetrators.18~(th) international symposiumon Ballistic.San Antonio,1999:11-19
    [32]William N.Bernard R.Eric V.Explosively formed penetrators(EFP) with cantered fins.19~(th)international symposiumon Ballistic.Interlaken:Switzerland,2001:775-762
    [33]任辉启,杨仁华,吴祥云.高效毁伤弹药工程破坏效应研究。总参工程兵科研三所,2005
    [34]彭庆明.自锻破片战斗部设计方法的讨论.破甲文集.1984(4)
    [35]叶本治,戴君全,冯民贤.超音速反舰战斗部自锻破片的实验研究[J].爆轰波与冲击波.1991(1):31-42
    [36]刘文翰.球缺形药型罩自锻弹丸近似计算讨论[J].爆轰波与冲击波.1991(2):1-13
    [37]刘文翰,李良忠,于川,杨淑英.自锻弹丸设计及实验研究[J].爆轰波与冲击波.1993(4):1-7
    [38]慈明森.爆炸成型弹丸的优化设计[J].弹箭技术.1994(2):1-5
    [39]陶钢,石连捷,朱鹤荣.自锻破片战斗部药型罩设计探讨[J].弹箭与制导学报.1995(3):37-42
    [40]曹兵,高森烈.偏心起爆对EFP成型形态影响的实验研究[J].弹道学报.1997(1):27-30
    [41]慈明森.形成带尾翼爆炸成型侵彻体的一种独特方法[J].弹箭技术.1998(3):7-14
    [42]慈明森.用于敏感弹药爆炸成型弹丸的一种实验方法[J].弹箭技术.1998(3):21-24
    [43]贾光辉,张国伟,裴思行.扁平结构自锻破片的成型研究.弹箭与制导学报.1999(1):57-60
    [44]曹兵,陈惠武,明晓.起爆方式对EFP成型性能的影响[J].弹道学报.2000(3):64-68
    [45]安二锋,周听清,沈兆武,王德润.一种新型聚能战斗部的实验研究[J].实验力学.2004(3):91-96
    [46]黄正祥,张先锋,陈惠武.起爆方式对聚能杆式侵彻体成型的影响[J].兵工学报.2004(5):289-291
    [47]周翔,龙源.地雷战斗部爆炸成型弹丸速度影响因素[J].解放军理工大学学报.2004(4):61-64
    [48]周翔,龙源,岳小兵,唐献述.一种基于能量法则的爆炸成型弹丸速度的工程计算方法[J].解放军理工大学学报.2005(4):379-381
    [49]顾文彬,刘建青,苏青笠,郑向平,李丹俊.药型罩壁厚对EFP成型性能影响试验[J].解放军理工大学学报.2005(2):162-165.
    [50]赵慧英,沈兆武.尾翼稳定爆炸成型弹丸相关技术研究[D].中国科学技术大学,博士论文,2007
    [51]唐蜜,柏劲松,李平,姜洋.爆炸成型弹丸成型因素的正交设计研究[J].火工品.2006(5):38-40
    [52]李如江,沈兆武,刘天生.多孔药型罩聚能射流机理及应用研究[D].中国科学技术大学,博士论文,2008
    [53]王颂康.高新技术弹药。北京:兵器工业出版社,1997,138-140
    [54]罗键、杨光.聚能装药新技术.中国宇航无人飞行器学会战斗部与毁伤专业委员会第七届学术会议论文集,133-136
    [55]Bender D,Fong R.Dual mode warhead technology for future smart munitions.19~(th)International Symposium on Ballistics,Interlaken,Switzerland,2001:679-684
    [56]Richard Fong.Multiple explosively formed penetrator(MEFP)warhead technology development,19~(th) International Symposium on Ballistics,Interlaken,Switzerland,2001
    [57]Weimann K,Blache A.Explosively formed projectile with tantalum penetrator and steel stabilization base,18~(th) International Symposium on Ballistics,Texas,USA,1999:603-608
    [58]门建兵,将建伟,杨军.串联EFP形成与侵彻的数值模拟与试验研究[C].弹药战斗部学术交流会论文集.北京:北京理工大学,2005:115-119
    [59]江增荣,李世才,王海福.双EFP装药水下运用的数值模拟[C].弹药战斗部学术交流会论文集.北京:北京理工大学,2005:398-401
    [60]Bud Oldroyd.Unitary common warhead incendiary EFP concept,Proceedings of the 41~(st)annual bomb and warhead technical meeting,1991
    [61]Meister J,Hailer F.Experimental and Numerical Studies of Annular Projectile Charges.19~(th)International Symposium on Ballistics,Interlaken,Switzerland,2001
    [62]Konig P,Moster F J.The Design and Performance of Annular EFP,18~(th) International Symposium on Ballistics,South Africa,June 2000
    [63]Mohaupt,H.Aerospace Ordnance Handbook,F.Pollard and J.Arnold(eds),Engelwood Cliffs,NJ:Prentice-Hall,Chapter 11
    [64]OTIR(ca.1946).Ordnance Technical Intelligence Report Number 11.Office of the Chief Ordnance Officer GHQ,AFPAC,Tokyo,Japan(AD94384)
    [65]Held M.Armour.14~(th) International Symposium on Ballistics,1993
    [66]Bell R B,Cgase J B.Multistage conventional munitions development program.Lawrence Livermore National Laboratory,UCID-20870,1986
    [67]Christianson K L,Roth J R.Development of an enhanced warhead for the penetration augmented munitions.Proceedings of the 41~(st) annual bomb and warhead technical meeting,1991
    [68]罗勇,沈兆武.聚能药包在岩石定向断裂爆破中的应用研究[J].爆炸与冲击,2006,26(3):250-255
    [69]Draper H C.U.S.Bur.Min.,R.I.,1980,4371
    [70]Birkhoff G,MacDougall D,Pugh E.Explosives with lined cavities.J.Appl.Phys.,19(6),1948.
    [71]Pugh E M,Eichelberger R J,Rostoker N.Theory of Jet Formation by Charges with Lined Conical cavities.J.Appl.Phys.,23(5),1952.
    [72]Allison R E,Vitali R.An Application of the Jet Formation Theory to a 105mm Shaped Charge.BRL Report No.1165,March,1962
    [73]Bryan G M,Eichelberger R J,Macdonald D,Zigman P E.Application of Radioactive Tracers to the Study of Shaped Charge Phenomena.J.Appl.Phys.,1957,28(10):1152-1155
    [74]Gainer M K.The Application of Radioactive Tracers to Shaped Charge Liners.BRL Memorandum Report No.1242,January,1960
    [75]Eichelberger,R J.Re-Examination of the Non-Steady Theory of Formation by Lined Cavity Charges.J.Appl.Phys,1955,26(4)
    [76]Carleone J,Chou P C.User's manual for DESC-1,A One-Dimensional computer code to model shaped charge liner collapse,jet formation,and jet properties.Dyna East Corporation,Technical Report No.DE-TR-75-4,1975.
    [77]Randers-Pehrson G.An improved equation for calculating fragment projection angle.Proc.2nd Int.Symp.on Ballistic,Daytona Beach,1976.
    [78]Chou P C,Carleone J,Jameson R.The Tip Origin of a Shaped Charge Jet.Propell.Explos.1977(2):126-130
    [79]Behrmann L A.Calculation of Shaped Charge Jets Using Engineering Approximations and Finite Difference Computer Codes.AFATL-TR-72-160 September,1973
    [80]Carleone J.Mechanics of Shaped Charges.Course Notes,Basic Principles of Hypervelocity Impact and Related Topics,April,Computational Mechanics Associates,Baltimore,MD,1987
    [81]慈明森 译.从成形、空气动力学和终点弹道方面优化EFP形状[J].弹箭技术,1998,(3):25-31.
    [82]Bender D E,Carleone J,Singer S.Design of Finned Explosively Formed Penetrators to Defeat Future Armored Targets.Present at the Annual Bomb andWarhead Meeting,Sandia National Laboratories,Albuquerque,NM,May 18-19,1998
    [83]门建兵,蒋建伟,万丽珍.带尾翼EFP形成的三维数值模拟研究[J].北京理工大学学报,2002,22(2):166-168
    [84]朱兆祥,蒋大和.炸药爆炸作用下飞片的运动.应用数学和力学,1980,1,3,p275
    [85]邵丙璜.炸药在滑移爆轰作用下多方指数值的确定.爆炸与冲击,1981(2):30-36
    [86]Kennedy J E.Gurney Energy of Explosives:Estimation of Velocity and Impulse Imparted to Driven Metal.Sandia Laboratories Research Report,SC-RR-70-790,1970
    [87]谭多望,孙承纬.滑移爆轰作用下飞板运动的解析解.高压物理学报,1999,13(2):120-125
    [88]M.J.Lighthill.Aeronautical Sciences,1953(20):402
    [89]Livermore.LS-DYNA Keyword User's Manual[DB].California:Livermore Software Technology Corporation,2001
    [90]Men Jian-bing,Jiang Jian-wei,Wan Li-zhen.3D Numerical Simulation Research on the Formation of Explosively Formed Penetrator with Fins.Journal of Beijing Institute of Technology,2002,22(2):166-168
    [91]Steinberg D J.Equation of State and Strength Properties of Selected Materials[M],LLNL.1991
    [92]刘文翰.球缺形药型罩自锻弹丸近似计算讨论[J].爆轰波与冲击波.1991(2):1-13
    [93]陶刚,朱鹤荣,石连捷.关于爆炸成型弹丸的研究.弹道学报[J].1994(3):85-89
    [94]徐流恩,李永池,高乐南.爆炸成型弹丸大炸高模拟律分析于应用实验研究[J].防护工程,2007,29(4):1-5
    [95]周翔,龙源,岳小兵等.一种基丁能量法则的爆炸成型弹丸速度的工程计算方法[J],爆炸与冲击,2005,25(4)
    [96]鲍姆.爆炸物理学[M].众智,译.北京:科学出版社,1964:461-492
    [97]Weimann K,Blache A,Cauret M,et al.Terminal ballistics of EFPs with high L/D-radio[A].17~(th)International Symposium of Ballistics[C].Midrand,South Africa:International Ballistics Committee,1998:281-287
    [98]李必红,鲁艳红,陈寿如,等.基于瞬时爆轰EFP成型速度的分析及应用研究[J].采矿技术,2005,5(3)
    [99]Bourne B,Cowan K G,Curtis J P.Shaped charge warheads containing low melt energy metal liners[A].19~(th) International Symposium of Ballistics[C].Interlaken,Switzerland:International Ballistics Committee,2001:583-590
    [100]邓聚龙.灰理论基础[M].武汉:华中科技大学出版社,2002
    [101]张先锋,陈惠武,赵有守,黄正祥.聚能装药性能参数灰关联分析[J].兵工学报,2004,25(5):525-528
    [102]赵慧英,沈兆武,王晓海.应用数值模拟和灰色理论计算分析聚能装药参数对聚能侵彻体成型性的影响[J].含能材料,2006,14(3):231-234
    [103]傅立.灰色系统理论及其应用[M].北京:科学技术文献出版社,1992
    [104]曹兵.EFP对有限厚45#碳钢板侵彻实验研究[J].火炸药学报,2007,30(3):19-21
    [105]王儒策,赵国志.弹丸终点效应[M].北京:北京理工大学出版社,1993:128-199
    [106]赵国志.穿甲工程力学[M].北京:兵器工业出版社,1992:18-31
    [107]张先锋,陈惠武,赵有守.EFP对有限厚靶板侵彻过程及后效研究[J].爆炸与冲击,2006,26(4):323-327
    [108]周劲松,甄良,杨德庄.几种金属材料在2.6~7m/s弹丸撞击下的损伤行为。宇航学报,2000(2)75-81
    [109]王辉,蔡汉文,王志军,王瑞臣,高速侵彻下混凝土材料性态和阻力。弹箭与制导学报,1997(4)54-59
    [110]Birkhoff,G,MacDouga,D,Pugh,E and Taylor,G.Explosives with Lined Cavities.J.Appl.Phys,1948,19(6)
    [111]HiI1,R,Mott,N and Pack,D.A.R.D.Theoretical Research Report No.2/44(January) and 12/44(March).1944
    [112]Evans,W M and Ubbelohde,A R.Formation of Munroe Jets and Their Action on Massive Targets.Res.Supp,London,1950:3-7
    [113]Pack,D C and Evans,W M.Penetration by High-Velocity(Munroe)Jets.Proc.Phys.Soc(London),1951,B64:298
    [114]Tate.A J.Mech.phys.solids.1967,15:387.
    [115]Allison,F E and Vitali R.A New Method of Computing Penetration Variables for Shaped Charge JETS.Ballistic Research Laboratory Report No.1184,1963
    [116]Dipersio,R and Simon,J.The Penetration-Standoff Relation for Idealized Shaped Charge Jets.Ballistic Research Laboratory Memorandum Report No.1542,1964
    [117]M.Keefe,et al.penetration by stretching projectiles.J.Mech.phys.solids,1988,36(5):537-549.
    [118]Alekseevskii,V P.Penetration of a Rod into a Target at High Velocity.Fizika Goreniya Vzryva,1966,2(2):99-106
    [119]Sagomoyan,A Ya.Plate Piercing by a Slender Solid Projectile.Vestnik Moskovskogo Universiteta,Seriya,Matematika,Mekhenika,1975,No.6,104-111,FSTC-HT-1065-81
    [120]Sagomoyan,A Ya.The Penetration of an Obstacle by a Cylindrical Object.Vestnik Moskovskogo Universiteta,Seriya,Matematika,1977(5):111-118
    [121]Sagomoyan,A Ya.Penetration of Solids into Compressed Continuous Media,Penetration of Solids after High Speed Impact.1978,May,Chapter 3,UDC 534.26 AND 539.374
    [122]Sanasaryan,N S.Penetration of a Cumulative Jet into a Barrier.Izvestiya Ahademii Nauk SSSR,Mekhanika Zhidkosti Gaza,1975,No.6:151-154
    [123]Herrmann,W and Wibeck,J.Review of Hypervelocity Penetration Theories.Int.J.Impact Engng,1987,5(1-4):307-322
    [124]Doyle,J R and Buchhoz,R L.Design,Development,Fabrication and Testing Program to Demonstrate Feasibility of the Mass FOCUS/Fragmentation Warhead.Honeywell Technical Report AFAT-TR-72-187,September,1973
    [125]A.Gunnar Wijk,High-velocity projectile penetration into thick armour targets.International journal of impact engineering,1999(22),45-54
    [126]时党勇,李裕春,张胜民.基于ANSYS/LS-DYNA 8.1进行显式动力分析[M].北京:清华大学出版社,2005.
    [127]赵海鸥.LS-DYNA动力学分析指南[M].北京:兵器工业出版社,2003.
    [128]Noh.A time-dependent two-space-dimension coupled Eulerian-Lagrangian code.In:Alder B,fernbach S,cds.Methods in computational Physics 3.New York:Academic Press,1964.
    [129]Donea J,Giuliani s,Halleux J P.An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interaction.Comput Methods Appl Mech Engrg,1982,33:698-723.
    [130]张雄,陆明万,王建军.任意拉格朗日—欧拉描述法研究进展[J].计算力学学报,1997,14(1):91-102
    [131]Ramswamy B,Kawahara M.Arbitrary Lagrangian-Eulerian finite element method for unsteady,convective,incompressible viscous free surface fluid flow Int J for Numerical Methods in Fluid,1987,7(10):1053-1075.
    [132]Liu W K,Chang H,Belytsko T.Arbitrary Lagrangian-Eulerian Retrov-Galerkin finite elements for nonlinear continua.Comput Methods Appl Mech Engrg,1988,68:259-310.
    [133]孙业斌.爆炸作用与装药设计[M].北京:国防工业出版社,1985
    [134]顾文彬,马海洋,周翔等.EFP装药最佳长径比的数值模拟研究[J].工兵装备研究.2003,22(4):18-21
    [135]Kennedy J.E.Explosive Output for Driving Metal.Behavior and Utilization of Explosives in Engineering Design,1972,3
    [136]北京工业学院.爆炸及其作用(下册:爆炸对目标的作用和穿甲作用)[M].北京:国防工业出版社,1979
    [137]曹兵.EFP成形机理及关键技术研究[D].南京航空航天大学,博士后出站报告,2001
    [138]李成兵,沈兆武,赵慧英,裴明敬.带尾翼爆炸成型弹丸成形机理初探[J].中国科学技术大学学报,2006,36(4):383-387
    [139]Steinberg D J.Equation of State and Strength Properties of Selected Materials[M],LLNL.1991
    [140]Livermore.LS-DYNA Keyword User's Manual[DB].California:Livermore Software Technology Corporation,2001
    [141]Weimann,K.Research and Development in the Area of Explosively Formed Projectiles Charge Technology.Propellants,Explosives,Pyrotechnics.Vol.18,October 1993,pp:294-298
    [142]谭多望,孙承纬.滑移爆轰作用下飞板运动的解析解[J].高压物理学报,1999,13(2):120-125
    [143]Henry,I G.The Gurney Formulas and Related Approximations for the High-Explosive Deployment of Fragments.Hughes Aircraft Company,Culver City,CA,Report No.PUB-189,April(AD 813398),1967

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