长杆弹撞击装甲陶瓷界面击溃/侵彻转变速度理论模型
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摘要
为预测长杆弹撞击装甲陶瓷界面击溃/侵彻转变过程,采用Hertz接触理论确定靶体内部应力,将其分别应用于陶瓷锥裂纹与翼型裂纹扩展理论。通过比较两种裂纹扩展模型计算得到的界面击溃/侵彻转变速度,提出准确预测界面击溃/侵彻转变速度的理论模型。结果表明:将两种裂纹扩展理论相结合的理论模型可以合理地解释界面击溃/侵彻转变过程,转变速度计算结果与已有实验结果吻合较好。弹体半径较小时,锥裂纹扩展控制界面击溃/侵彻转变过程;弹体半径较大时,翼型裂纹扩展控制界面击溃/侵彻转变过程。
In this study a theoretical model was established to predict the interface defeat/penetration transition velocity of a ceramic armor impacted by a long-rod projectile. Predications of the transition velocity were obtained by measuring the stress inside the target and then applying it in turn to the conical crack and the wing crack propagation theory. After that,a theoretical model consisting of the conical and the wing crack propagation theory was presented. The results show that the theoretical model can reasonably well describe the interface defeat/penetration transition process. The interface defeat/penetration transition velocity calculated by the theoretical model agrees well with the experimental results from the previously published literature. The conical crack propagation dominates the interface defeat/penetration transition process when the projectile radius is small,while the wing crack dominates the transition when the projectile radius is large.
In this study a theoretical model was established to predict the interface defeat/penetration transition velocity of a ceramic armor impacted by a long-rod projectile. Predications of the transition velocity were obtained by measuring the stress inside the target and then applying it in turn to the conical crack and the wing crack propagation theory. After that,a theoretical model consisting of the conical and the wing crack propagation theory was presented. The results show that the theoretical model can reasonably well describe the interface defeat/penetration transition process. The interface defeat/penetration transition velocity calculated by the theoretical model agrees well with the experimental results from the previously published literature. The conical crack propagation dominates the interface defeat/penetration transition process when the projectile radius is small,while the wing crack dominates the transition when the projectile radius is large.
引文
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[13]Serjouei A.Modelling and analysis of bi-layer ceramic-metal protective structures[D].Singapore:Nanyang Technological University,2014.
[14]Chi R,Serjouei A,Sridhar I,et al.Pre-stress effect on confined ceramic armor ballistic performance[J].International Journal of Impact Engineering,2015,84:159-170.
[15]Johnson K L.Contact mechanics[M].Cambridge,UK:Cambridge University Press,1985:452.
[16]Fischer-Cripps A C.Introduction to contact mechanics[M].Springer Berlin,2010:241.
[17]La Salvia J C.A predictive model for the dwell/penetration transition phenomenon[C]∥Proceeding of the 22th International Symposium on Ballistics.Canada,2005,2:717-725.
[18]Shih J C.Dynamic deformation of silicon carbide[D].San Diego:University of California,1998.
[19]Horii H,Nemat-Nasser S.Brittle failure in compression:splitting,faulting and brittle-ductile transition[J].Philosophical Transactions of the Royal Society of London A:Mathematical,Physical and Engineering Sciences,1986,319(1549):337-374.
[20]La Salvia J C,Horwath E J,Rapacki E J,et al.Microstructural and micromechanical aspects of ceramic/long-rod projectile interactions:dwell/penetration transitions[C]∥Proceeding of Fundamental Issues and Applications of Shock-Wave and High-Strain-Rate Phenomena.New York,2001:437-446.
[21]Milman Y V,Chugunova S I.Mechanical properties,indentation and dynamic yield stress of ceramic targets[J].International Journal of Impact Engineering,1999,23(1):629-638.
[22]Behner T,Anderson Jr C E,Holmquist T J,et al.Penetration dynamics and interface defeat capability of silicon carbide against long rod impact[J].International Journal of Impact Engineering,2011,38(6):419-425.
[2]Hauver G E,Netherwood P H,Benck R F,et al.Ballistic performance of ceramic targets[C]∥Proceedings of Army Symposium on Solid Mechanics.Plymouth,MA,USA,1993:23-34.
[3]Lundberg P,Renstr9m R,Andersson O.Influence of length scale on the transition from interface defeat to penetration in unconfined ceramic targets[J].Journal of Applied Mechanics,2013,80(3):031804.
[4]Lundberg P,Renstr9m R,Lundberg B.Impact of metallic projectiles on ceramic targets:transition between interface defeat and penetration[J].International Journal of Impact Engineering,2000,24(3):259-275.
[5]Lundberg P,Lundberg B.Transition between interface defeat and penetration for tungsten projectiles and four silicon carbide materials[J].International Journal of Impact Engineering,2005,31(7):781-792.
[6]Anderson Jr C E,Behner T,Holmquist T J,et al.Interface defeat of long rods impacting oblique silicon carbide[R].Southwest Research INST San Antonio TX,2011.
[7]Anderson C E,Walker J D.An analytical model for dwell and interface defeat[J].International Journal of Impact Engineering,2005,31(9):1119-1132.
[8]Li J C,Chen X W,Ning F.Comparative analysis on the interface defeat between the cylindrical and conical-nosed long rods[J].International Journal of Protective Structures,2014,5(1):21-46.
[9]Li J C,Chen X W,Ning F,et al.On the transition from interface defeat to penetration in the impact of long rod onto ceramic targets[J].International Journal of Impact Engineering,2015,83:37-46.
[10]李继承,陈小伟.尖锥头长杆弹侵彻的界面击溃分析[J].力学学报,2011,43(1):63-70.Li Jicheng,Chen Xiaowei.Theoretical analysis on the interface defeat of a conical-nosed projectile penetration[J].Chinese Journal of Theoretical and Applied Mechanics,2011,43(1):63-70.
[11]李继承,陈小伟.柱形长杆弹侵彻的界面击溃分析[J].爆炸与冲击,2011,31(2):141-147.Li Jicheng,Chen Xiaowei.Theoretical analysis on the interface defeat of a long rod penetration[J].Explosion and Shock Waves,2011,31(2):141-147.
[12]Holmquist T J,Johnson G R.Modeling prestressed ceramic and its effect on ballistic performance[J].International Journal of Impact Engineering,2005,31(2):113-127.
[13]Serjouei A.Modelling and analysis of bi-layer ceramic-metal protective structures[D].Singapore:Nanyang Technological University,2014.
[14]Chi R,Serjouei A,Sridhar I,et al.Pre-stress effect on confined ceramic armor ballistic performance[J].International Journal of Impact Engineering,2015,84:159-170.
[15]Johnson K L.Contact mechanics[M].Cambridge,UK:Cambridge University Press,1985:452.
[16]Fischer-Cripps A C.Introduction to contact mechanics[M].Springer Berlin,2010:241.
[17]La Salvia J C.A predictive model for the dwell/penetration transition phenomenon[C]∥Proceeding of the 22th International Symposium on Ballistics.Canada,2005,2:717-725.
[18]Shih J C.Dynamic deformation of silicon carbide[D].San Diego:University of California,1998.
[19]Horii H,Nemat-Nasser S.Brittle failure in compression:splitting,faulting and brittle-ductile transition[J].Philosophical Transactions of the Royal Society of London A:Mathematical,Physical and Engineering Sciences,1986,319(1549):337-374.
[20]La Salvia J C,Horwath E J,Rapacki E J,et al.Microstructural and micromechanical aspects of ceramic/long-rod projectile interactions:dwell/penetration transitions[C]∥Proceeding of Fundamental Issues and Applications of Shock-Wave and High-Strain-Rate Phenomena.New York,2001:437-446.
[21]Milman Y V,Chugunova S I.Mechanical properties,indentation and dynamic yield stress of ceramic targets[J].International Journal of Impact Engineering,1999,23(1):629-638.
[22]Behner T,Anderson Jr C E,Holmquist T J,et al.Penetration dynamics and interface defeat capability of silicon carbide against long rod impact[J].International Journal of Impact Engineering,2011,38(6):419-425.