装甲陶瓷的界面击溃效应

谈梦婷; 张先锋; 包阔; 伍杨; 吴雪

doi:10.6052/1000-0992-17-015

装甲陶瓷的界面击溃效应

doi: 10.6052/1000-0992-17-015

谈梦婷¹,
张先锋^1,, ,,
包阔¹,
伍杨²,
吴雪¹

1 南京理工大学机械工程学院, 南京 210094
2 瞬态冲击技术重点实验室, 北京 102202

基金项目: 国家自然科学基金面上项目(11772159)、瞬态冲击技术重点实验室基金项目(6142060101162606001)、南京理工大学自主科研专项计划项目(30917011104)、高性能陶瓷和超微结构国家重点实验室开放课题基金(SKL201602SIC)、江苏省研究生科研创新计划项目(KYCX17_0385)资助项目

详细信息

作者简介:
null

作者简介: 张先锋, 博士, 南京理工大学机械工程学院教授, 博士生导师,中国兵工学会军用防护技术专业委员会委员;主要研究方向包括材料动力学行为及损伤, 材料动态本构模型,高效毁伤与防护技术, 爆炸与冲击动力学等; 在International Journal of Impact Engineering, Journal of Applied Physics,Materials and Design等国内外重要期刊上发表论文80余篇,其中SCI(E)收录19篇, EI收录20篇, 申请专利15项;获国防技术发明奖二等奖1项、教育部技术发明奖二等奖1项.

通讯作者:
张先锋

中图分类号: O385;
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出版历程
- 收稿日期: 2017-07-04
- 刊出日期: 2019-02-08

Interface defeat of ceramic armor

¹ Ministerial Key Laboratory of ZNDY, Nanjing University of Science and Technology, Nanjing 210094, China
² Science and Technology on Transient Impact Laboratory,Beijing 102202, China

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Author Bio:
通讯作者: † E-mail: lynx@njust.edu.cn

Corresponding author: ZHANG Xianfeng

摘要

摘要: 界面击溃效应(interface defeat)是射弹撞击陶瓷材料过程中,陶瓷表面产生的特有现象.国内外学者在近30年来对陶瓷界面击溃效应开展的大量研究工作表明界面击溃效应中射弹界面驻留(dwell)时间的增加以及界面击溃/侵彻转变速度的升高能够大量消耗弹体动能、有效提高装甲陶瓷的抗弹性能.本文主要从实验、理论和数值模拟三方面介绍国内外学者开展的工作,包括陶瓷界面击溃效应的宏观与微观力学机制及其研究方法等.针对现今对界面击溃效应研究的不足, 提出了关于未来研究方向的建议.
- 装甲陶瓷 /
- 界面击溃 /
- 冲击动力学 /
- 裂纹扩展
Abstract: Interface Defeat, which can effectively defeat the long-rod projectile (LRP), is a specific phenomenon of ceramic armor. Studies on this area have been conducted for the last three decades both at home and abroad proving that delaying dwell time or increasing interface defeat/penetration transition velocity can defeat projectile and enhance the ballistic performance of ceramic armor. Related researches on the experimental techniques, theoretical models and numerical simulations of interface defeat are introduced, including the study of interface defeat at the micro and macro scale, a method for the design of the ceramic composite armor, etc. According to the insufficient work of interface defeat, some suggestions are proposed in this paper.
- ceramic /
- interface defeat /
- impact dynamics /
- crack expansion

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参考文献(156)

[1]	陈小伟, 陈裕泽. 2006. 脆性陶瓷靶高速侵彻/穿甲动力学的研究进展. 力学进展, 36: 85-102 (Chen X W, Chen Y Z.2006. Review on the penetration/perforation of ceramics targets. Advances in Mechanics, 36: 85-102).
[2]	高举斌, 王扬卫, 王富耻, 孙见卓. 2017. 弹靶作用过程中陶瓷基复合材料的表面驻留行为. 航空制造技术, 523: 92-96 (Gao J B, Wang Y W, Wang F C, Sun J Z.2017. Dwell behavior of ceramic matrix composites during the projectile penetration. Aeronautical Manufacturing Technology, 523: 92-96).
[3]	高举斌, 王富耻, 王扬卫, 张志金, 马壮. 2013. 背板对界面驻留过程耗能的影响规律. 稀有金属材料与工程, 42: 569-573 (Gao J B, Wang F C, Wang Y W, Zhang Z J, Ma Z.2013. Effect of back plates on energy dissipation during interface defeat. Rare Metal Materials and Engineering, 42: 569-573).
[4]	胡欣, 王扬卫, 高举斌, 于晓东, 王富耻. 2010. 约束应力对AD95陶瓷弹击损伤特征的影响. 北京理工大学学报, 30: 589-592 (Hu X, Wang Y W, Gao J B, Yu X D, Wang F C.2010. Effect of confined stress on impact damage of ceramic AD95. Transactions of Beijing Institute of Technology, 30: 589-592).
[5]	李继承, 陈小伟. 2011a. 尖锥头长杆弹侵彻的界面击溃分析. 力学学报, 43: 63-70 (Li J C, Chen X W.2011a. Theoretical analysis on the interface defeat of a conical-nosed projectile penetration. Chinese Journal of Theoretical and Applied Mechanics, 43: 63-70).
[6]	李继承, 陈小伟. 2011b. 柱形长杆弹侵彻的界面击溃分析. 爆炸与冲击,31: 141-147 (Li J C, Chen X W.2011b. Theoretical analysis on the interface defeat of a long rod penetration. Explosion and Shock Waves, 31: 141-147).
[7]	满蓬. 2012. 氧化铝基陶瓷复合装甲面板与背板的配置效应研究. [硕士论文]. 南京: 南京理工大学 (Man P.2012. Study on the effect of configuration on front plate and back plate of ceramic composite armor based on Al$_{2}$O$_{3}$. [Master Thesis]. Nanjing: Nanjing University of Science and Technology).
[8]	宋健. 2011. 弹体入射陶瓷复合靶板毁伤效应研究: [硕士论文]. 哈尔滨: 哈尔滨工业大学 (Song J.2011. Research on damage effects of ceramic composite target under impact of projectile. [Master Thesis]. Harbin: Harbin Institute of Technology).
[9]	谈梦婷, 张先锋, 何勇, 刘闯, 于溪, 郭磊. 2016. 长杆弹撞击装甲陶瓷的界面击溃效应数值模拟. 兵工学报, 37: 627-634 (Tan M T, Zhang X F, He Y, Liu C, Yu X, Guo L.2016. Numerical simulation on interface defeat of ceramic impacted by long-rod projectile. Acta Armamentarii, 37: 627-634).
[10]	谈梦婷, 张先锋, 葛贤坤, 刘闯, 熊玮. 2017. 长杆弹撞击装甲陶瓷界面击溃/侵彻转变速度理论模型. 爆炸与冲击, 37: 1093-1100 (Tan M T, Zhang X F, Ge X K, Liu C, Xiong W.2017. Theoretical model of interface defeat/penetration transition velocity of ceramic armor impacted by long-rod projectile. Explosion and Shock Waves, 37: 1093-1100).
[11]	杨江丽, 宋顺成. 2007. 国外陶瓷材料抗侵彻研究进展. 兵器材料科学与工程, 30: 72-74 (Yang J L, Song S C.2007. Research progress in ceramic material for anti-penetration. Ordnance Material Science and Engineering, 30: 72-74).
[12]	Alekseevski V P.1966. Penetration of a rod into target at high velocity. Combustion, Explosion, and Shock Waves, 2: 63-66.
[13]	Anderson Jr C E.2006. A review of computational ceramic armor modeling. Ceramic Engineering and Science Proceedings, American Ceramics Society. 27: 1-18
[14]	Anderson Jr C E.2009. Dwell and postdwell penetration of long rods on borosilicate glass targets. Shock Compression of Condensed Matter, 1195: 1447-1452.
[15]	Anderson Jr C E.2010. Dwell and interface defeat on borosilicate glass. International Journal of Applied Ceramic Technology, 7: 776-786.
[16]	Anderson Jr C E, Gooch W A.2011. Numerical simulations of dynamic X-ray imaging experiments of 7.62-mm Apm2 projectiles penetrating B4C//19th International Symposium of Ballistics, Interlaken, Switzerland. 1423-1429.
[17]	Anderson Jr C E, Morris B L.1992. Ballistic performance of confined alumina ceramic tiles. International Journal of Impact Engineering, 12: 167-187.
[18]	Anderson Jr C E, Orphal D L.2003. Analysis of the terminal phase of penetration. International Journal of Impact Engineering, 29: 69-80.
[19]	Anderson Jr C E, Royal-Timmons S A.1997. Ballistic performance of confined 99.5%-Al$_{2}$O$_{3}$ ceramic tiles. International Journal of Impact Engineering, 19: 703-713.
[20]	Anderson Jr C E, Walker J D.1991. An examination of long-rod penetration. International Journal of Impact Engineering, 11: 481-501.
[21]	Anderson Jr C E, Walker J D.2005. An analytical model for dwell and interface defeat. International Journal of Impact Engineering, 31: 1119-1132.
[22]	Anderson Jr C E, Behner T, Templeton D W, Holmquist T J, Wickert M, Hohler V.2006. Interface defeat of long rods impacting borosilicate glass. Southwest Research Inst San Antonio Tx.
[23]	Anderson Jr C E, Behner T, Orphal D L, Nicholls A E, Templeton D W.2008. Time-resolved penetration into pre-damaged hot-pressed silicon carbide. International Journal of Impact Engineering, 35: 661-673.
[24]	Anderson Jr C E, Behner T, Holmquist T J, Orphal D L, Wickert M.2009. Dwell, interface defeat, and penetration of long rods impacting silicon carbide. Southwest Research Institute Technical Report.
[25]	Anderson Jr C E, Behner T, Holmquist T J, King N L, Orphal D L.2011a. Interface defeat of long rods impacting oblique silicon carbide//Proceedings of 26th International Symposium on Ballistics, Miami, FL, USA, DEStech Publications, Inc, Lancaster, PA, USA (1728-1735).
[26]	Anderson Jr C E, Behner T, Holmquist T J, Orphal D L.2011b. Penetration response of silicon carbide as a function of impact velocity. International Journal of Impact Engineering, 38: 892-829.
[27]	Anderson Jr C E, Burkins M S, Walker J D, Gooch W A.2005. Time-resolved penetration of B4C tiles by the APM2 bullet. CMES, 8: 91-104.
[28]	Anderson Jr C E, Littlefield D L, Walker J D.1993a. Long-rod penetration, target resistance, and hypervelocity impact. International Journal of Impact Engineering, 14: 1-12.
[29]	Anderson Jr C E, Mullin S A, Kuhlman C J.1993b. Computer simulation of strain-rate effects in replica scale model penetration experiments. International Journal of Impact Engineering, 13: 35-52.
[30]	Anderson Jr C E, Orphal D L, Franzen R R, Walker J D.1999. On the hydrodynamic approximation for long-rod penetration. International Journal of Impact Engineering, 22: 23-43.
[31]	Anderson Jr C E, Walker J D, Lankford J.1995. Investigation of the ballistic response of brittle materials. Southwest Research Inst San Antonio Tx.
[32]	Andersson O, Lundberg P, Renstr?m R.2007. Influence of confinement on the transition velocity of silicon carbide//Proceedings of 23rd International Symposium on Ballistics, Tarragona, Spain, April. 16-20.
[33]	Ashby M F, Hallam S D.1986. The failure of brittle solids containing small cracks under compressive stress rates. Acta Metall, 34: 497-510.
[34]	Ashby M F, Sammis C G.1990. The damage mechanics of brittle solids in compression. Pure & Applied Geophysics, 133: 489-521.
[35]	Aydelotte B, Schuster B.2015. Impact and penetration of SiC: The role of rod strength in the transition from dwell to penetration. Procedia Engineering, 103: 19-26.
[36]	Behner T, Anderson Jr C E, Holmquist T J, et al.2008. Interface defeat for unconfined SiC ceramics. Army Tank-Automotive and Armaments Command Warren Mi.
[37]	Behner T, Anderson Jr C E, Holmquist T J, Orphal D L, Wickert M, Templetone D W.2011. Penetration dynamics and interface defeat capability of silicon carbide against long rod impact. International Journal of Impact Engineering, 38: 419-425.
[38]	Behner T, Heine A, Wickert M.2013. Protective properties of finite-extension ceramic targets against steel and copper projectiles//27th International Symposium on Ballistics, Freiburg, Germany. 1598-1607.
[39]	Behner T, Heine A, Wickert M.2016. Dwell and penetration of tungsten heavy alloy long-rod penetrators impacting unconfined finite-thickness silicon carbide ceramic targets. International Journal of Impact Engineering, 95: 54-60.
[40]	Bless S, Benyami M, Apgar L.1992. Structures under shock and impact II. Computational Mechanics.
[41]	Bourne N.2010. On kinetics of failure in, and resistance to penetration of metals and ceramics. Advances in Applied Ceramics, 109: 480-486.
[42]	Chen W.1995. Dynamic failure behavior of ceramics under multiaxial compression. California Institute of Technology//Joint Applied Mechanics and Materials Summer Meeting, Los Angeles, CA.
[43]	Chi R, Serjouei A, Sridhar I, Tan G E B.2013. Ballistic impact on bi-layer alumina/aluminium armor: A semi-analytical approach. International Journal of Impact Engineering, 52: 37-46.
[44]	Chi R, Serjouei A, Sridhar I, Geoffrey T E B.2015. Pre-stress effect on confined ceramic armor ballistic performance. International Journal of Impact Engineering, 84: 159e70.
[45]	Crouch I G, Appleby-Thomas G, Hazell P J.2015. A study of the penetration behavior of mild-steel-cored ammunition against boron carbide ceramics armours. International Journal of Impact Engineering, 80: 203-211.
[46]	Dehn J.1996. Modeling armor that uses interface defeat. AIP Conference Proceedings, 370: 1139-1142.
[47]	Den Reijer PC.1991. Impact on ceramic faced armour: TU Delft. Dutch: Delft University of Technology.
[48]	Deshpande V S, Evans A G.2008. Inelastic deformation and energy dissipation in ceramics: A mechanism-based constitutive model. Journal of the Mechanics and Physics of Solids, 56: 3077-3100.
[49]	Deshpande V S, Gamble E, Compton B G, McMeeking R M, Evans A G, Zok F W.2011. A constitutive description of the inelastic response of ceramics. Journal of the American Ceramic Society, 94: S204-S214.
[50]	Espinosa H D, Zavattieri P D, Dwivedi S K.1998a. A finite deformation continuum/discrete model for the description of fragmentation and damage in brittle materials. Journal of the Mechanics and Physics of Solids, 46: 1909-1942.
[51]	Espinosa H D, Dwivedi S, Zavattieri P, Yuan G.1998b. A numerical investigation of penetration in multilayered material/structure systems. International Journal of Solids and Structures, 35: 2975-3001.
[52]	Feli S, Asgari M.2011. Finite element simulation of ceramic/composite armor under ballistic impact. Composites Part B: Engineering, 42: 771-780.
[53]	Fischer-Cripps A C.2010. Introduction to Contact Mechanics. Springer Berlin.
[54]	Flinders M, Ray D, Anderson A, Cutler R A.2005. High-toughness silicon carbide as armor. Journal of the American Ceramic Society, 88: 2217-2226.
[55]	Fountzoulas C, Cheeseman B, LaSalvia J.2009. Simulation of ballistic impact of a tungsten carbide sphere on a confined silicon carbide target//Proceedings of the 23rd International Symosium on Balllistics, Tarragona, Spain.
[56]	Fountzoulas C, LaSalvia J.2011. Simulation of the ballistic impact of tungsten-based penetrators on confined hot-pressed boron carbide targets. Advances in Ceramic Armor VII: Ceramic Engineering and Science Proceedings, 32: 261-269.
[57]	Fountzoulas C, LaSalvia J.2012. Improved modeling and simulation of the ballistic impact of tungsten-based penetrators on confined hot-pressed boron carbide targets. Adv Ceram Armor VIII, John Wiley & Sons, Inc. 209-217.
[58]	Fountzoulas C G, LaSalvia J C.2013. Material models sensitivity of tungsten-based penetrators impacting on confined boron-carbide. Dynamic Behavior of Materials, 1: 251-258.
[59]	Franzen R, Orphal D, Anderson C.1997. The influence of experimental design on depth-of-penetration (DOP) test results and derived ballistic efficiencies. International Journal of Impact Engineering, 19: 727-737.
[60]	Gama B A, Bogetti T A, Fink B K, Yu C J, Claar T D, Eifert H H, et al.2001. Aluminum foam integral armor: A new dimension in armor design. Composite Structures, 52: 381-395.
[61]	Garcia-Avila M, Portanova M, Rabiei A.2014. Ballistic performance of a composite metal foam-ceramic armor system. Procedia Materials Science, 4: 151-156.
[62]	Grove D, Rajendran A.2001. Modeling the interface defeat phenomenon using a physically-based ceramic damage model. APS Shock Compression of Condensed Matter Meeting Abstracts, 46.
[63]	Hallam D, Heaton A, James B, Smith P, Yeomans J.2015. The correlation of indentation behavior with ballistic performance for spark plasma sintered armour ceramics. [J]. Eur. Ceram. Soc. 35: 2243-2252.
[64]	Hauver G E, Netherwood P H, Benck R F, Gooch W A, Perciballi W J, Burkins M S.1992. Variation of target resistance during long rod penetration into ceramics. 13th Int Symp on Ballistics, 3: 257-264.
[65]	Hauver G E, Netherwood P H, Benck R F, Kecskes L J.1993. Ballistic performance of ceramic targets. Army Symposium on Solid Mechanics, Plymouth, MA, 1: 993.
[66]	Hauver G E, Netherwood P H, Benck R F, Kecskes L J.1994. Enhanced ballistic perfomance of ceramics//19th Army Science Conference, Orlando, FL, 20-24.
[67]	Hauver G E, Rapacki Jr E J, Netherwood P H, Benck R F.2005. Interface defeat of long-rod projectiles by ceramic armor. Army Research Lab Aberdeen Proving Ground Md Weapons and Materials Research Directorate.
[68]	Hilton C D, W.McCauley J, Swab J J, Shanholtz. E R.2012. Using hardness tests to quantify bulk plasticity and predict transition velocities in SiC materials. International Journal of Applied Ceramic Technology, 10: 1-9.
[69]	Holmquist T J, Templeton D W, Bishnoi K D.2001. Constitutive modeling of aluminum nitride for large strain, high-strain rate, and high-pressure applications. International Journal of Impact Engineering, 25: 211-231.
[70]	Holmquist T J, Johnson G R.2002a. Response of silicon carbide to high velocity impact. Journal of Applied Physics, 91:5858-5866.
[71]	Holmquist T J, Johnson G R.2002b. Modeling ceramic dwell and interface defeat. Ceramic transactions, 134: 309-316.
[72]	Holmquist T J, Johnson G R.2003. Modeling projectile impact onto prestressed ceramic targets. Journal de Physique IV, 110: 597-602.
[73]	Holmquist T J, Johnson G R.2005a. Characterization and evaluation of silicon carbide for high-velocity impact. Journal of Applied Physics, 97: 093502.
[74]	Holmquist T J, Johnson G R.2005b. Modeling prestressed ceramic and its effect on ballistic performance. International Journal of Impact Engineering, 31: 113-127.
[75]	Holmquist T J, Johnson G R.2008. Response of boron carbide subjected to high-velocity impact. International Journal of Impact Engineering, 35: 742-752.
[76]	Holmquist T J, Johnson G R.2011. A computational constitutive model for glass subjected to large strains, high strain rates and high pressures. Journal of Applied Mechanics, 78: 051003.
[77]	Holmquist T J, Anderson Jr C E, Behner T.2008. The effect of a copper buffer on interface defeat//Proceedings of the 24th international symposium on ballistics, Lancaster. 721-728.
[78]	Holmquist T J, Anderson Jr C E, Behner T, Orphal D L.2010. Mechanics of dwell and post-dwell penetration. Advances in Applied Ceramics, 109: 467-479.
[79]	Horii H, Nemat-Nasser S.1986. Brittle failure in compression splitting, faulting and brittle-ductile transition. Philosophical Transaction of the Royal Society of London Series A, Mathematical and Physical Sciences, 319: 337-374.
[80]	Hu X, WANG F, Wang Y, Yu X.2009. Phenomena of dwell during armour-piercing process. Materials Review, 1: 024.
[81]	Iyer K A.2007. Relationships between multiaxial stress states and internal fracture patterns in sphere-impacted silicon carbide. International Journal of Fracture, 146: 1-18.
[82]	Jaansalu K M.2013. Material properties and interface defeat//27th International Symposium on Ballistics Freiburg, Germany. 1277-1288.
[83]	Johnson G R, Holmquist T J.1992. A computational constitutive model for brittle materials subjected to large strains, high strain rates and high pressures. Shock Wave and High-Strain-Rate Phenomena in Materials, 1075-1081.
[84]	Johnson G R, Holmquist T J.1994.An improved computational constitutive model for brittle materials. High-Pressure Science and Technology—993: AIP Publishing. 981-984.
[85]	Johnson G R, Holmquist TJ.1999. Response of boron carbide subjected to large strains, high strain rates, and high pressures. Journal of Applied Physics, 85: 8060-8073.
[86]	Johnson G R, Holmquist T J, Beissel S R.2003. Response of aluminum nitride (including a phase change) to large strains, high strain rates, and high pressures. Journal of Applied Physics, 94: 1639-1646.
[87]	Johnson K L.1987. Contact Mechanics. Cambridge University Press.
[88]	Jubin G, Fuchi W, Yangwei W, Zhijin Z, Zhuang M.2013. Effect of back plates on energy dissipation during interface defeat. Rare Metal Materials and Engineering, 42: 569-573.
[89]	Krishnan K, Sockalingam S, Bansal S, Rajan S D.2010. Numerical simulation of ceramic composite armor subjected to ballistic impact. Composites Part B: Engineering, 41: 583-593.
[90]	LaSalvia J C.2002a. A physically-based model for the effect of microstructure and mechanical properties on ballistic performance//26th Annual Conference on Composites, Advanced Ceramics, Materials, and Structures: A, 213-220.
[91]	LaSalvia J C.2002b. Recent progress on the influence of microstructure and mechanical properties on ballistic performance. Ceramic Transactions, 134: 557-570.
[92]	LaSalvia J C.2005a. Effect of ceramic thickness on the dwell/penetration transition phenomenon. Ballistics 2005: 22nd International Symposium on Ballistics: DEStech Publications, Inc. 726.
[93]	LaSalvia J C.2005b. A predictive model for the dwell/penetration transition phenomenon//Proceeding of the 22th International Symposium on Ballistics, Canada, 717-725.
[94]	LaSalvia J C, Normandia M J.2002. An analytical prediction for the effect of ceramic thickness and mechanical properties on the dwell/penetration transition velocity//20th International Symposium on Ballistics.
[95]	LaSalvia J C, McCauley J W.2010. Inelastic deformation mechanisms and damage in structural ceramics subjected to high-velocity impact. International Journal of Applied Ceramic Technology, 7: 595-605.
[96]	LaSalvia J C, Horwath E J, Rapacki E J, Shih C J, Meyers M A. 2001. Microstructural and micromechanical aspects of ceramic long-rod projectiles interactions: Dwell/penetration transitions //Proceedings of theExplomet 2000, 437-446.
[97]	LaSalvia J C, Normandia M J, Miller H T, Mackenzie D E.2005. Sphere impact induced damage in ceramics II. Armor-grade B4C and WC. Advances in Ceramic Armor, 183-192.
[98]	LaSalvia J C, McCuiston R C, Fanchini G, McCauley J W, Chhowalla M, Miller H T, et al.2007. Shear localization in a sphere-impacted armor-grade boron carbide//23rd International Symposium on Ballistics Tarragona, Spain, 1329-1337.
[99]	LaSalvia J C, Leavy B, Miller H T, Houskamp J R, McCuiston R C.2009. Recent results on the fundamental performance of a hot-pressed silicon carbide impacted by sub-scale long-rod penetrator. Advances in Ceramic Armor IV, 89-97.
[100]	LaSalvia J C, Leavy R B, Houskamp J R, Miller H T, MacKenzie D E, Campbell J.2010a. Ballistic impact damage observations in a hot-pressed boron carbide. Advances in Ceramic Armor V, 45-55.
[101]	LaSalvia J C, Campbell J, Swab J, McCauley J.2010b. Beyond hardness: Ceramics and ceramic-based composites for protection. JOM, 62: 16-23.
[102]	Leavy B, Rickter B, Normandia M J.2008. Modeling dynamically impacted ceramic material experiments//Advances in Ceramic Armor: A Collection of Papers Presented at the 29th International Conference on Advanced Ceramics and Composites, January 23-28, 2005, Cocoa Beach, Florida, Ceramic Engineering and Science Proceedings: Wiley-American Ceramic Society. 11.
[103]	Li J C, Chen X W.2017. Theoretical analysis of projectile-target interface defeat and transition to penetration by long rods due to oblique impacts of ceramic targets. International Journal of Impact Engineering, 106: 53-63.
[104]	Li J C, Chen X W, Ning F.2014. Comparative analysis on the interface defeat between the cylindrical and conical-nosed long rods. International Journal of Protective Structures, 5: 21-46.
[105]	Li J C, Chen X W, Ning F, Li X L.2015. On the transition from interface defeat to penetration in the impact of long rod onto ceramic targets. International Journal of Impact Engineering, 83: 37-46.
[106]	Liu T, Fleck N A, Wadley H N G, Deshpande V S.2013. The impact of sand slugs against beams and plates: Coupled discrete particle/finite element simulations. Journal of the Mechanics and Physics of Solids, 61: 1798-1821.
[107]	Lundberg P.2004. Interface defeat and penetration: Two modes of interaction between metallic projectiles and ceramic targets. [PhD Thesis]. Uppsala University.
[108]	Lundberg P.2007. Research in sweden on dwell in ceramics. Advances in Ceramic Armor III: Ceramic and Engineering Science Proceedings, 28: 1-18.
[109]	Lundberg P, Lundberg B.2005. Transition between interface defeat and penetration for tungsten projectiles and four silicon carbide materials. International Journal of Impact Engineering, 31: 781-792.
[110]	Lundberg P, Westerling L, Lundberg B.1996. Influence of scale on the penetration of tungsten rods into steel-backed alumina targets. International journal of impact engineering, 18: 403-416.
[111]	Lundberg P, Renstr?m R, Lundberg B.2000. Impact of metallic projectiles on ceramic targets transition between interface defeat and penetration. International Journal of Impact Engineering, 24: 259-275.
[112]	Lundberg P, Renstr?m R, Holmberg L.2001. An experimental investigation of interface defeat at extended interaction time//19th International Symposium of Ballistics Interlaken, Switzerland, 1463-1469.
[113]	Lundberg P, Renstr?m R, Lundberg B.2006. Impact of conical tungsten projectiles on flat silicon carbide targets: Transition from interface defeat to penetration. International Journal of Impact Engineering, 32: 1842-1856.
[114]	Lundberg P, Renstr?m R, Andersson O.2013. Influence of length scale on the transition from interface defeat to penetration in unconfined ceramic targets. Journal of Applied Mechanics, 80: 031804.
[115]	Lundberg P, Renstr?m R, Andersson O.2016. Influence of confining prestress on the transition from interface defeat to penetration in ceramic targets. Defence Technology, 12: 263-271.
[116]	Malaise F, Tranchet J Y, Collombet F, Furnish M D, Chhabildas L C, Hixson R S.2000. Effects of a dynamic confinement on the penetration resistance of ceramics against long rods. AIP Conference Proceedings: AIP, 1121-1124.
[117]	McCauley J W, Wilantewicz T E.2009. Using plasticity values determined from systematic hardness indentation measurements for predicting impact behavior in structural ceramics: A new, simple screening technique. Army Research Lab Aberdeen Proving Ground Md Weapons and Materials Research Directorate.
[118]	McGlaun M J, Thompson S L, Elrick M G.1990. CTH: A three-dimensional shock wave physics code. International Journal of Impact Engineering, 10: 351-360.
[119]	Meyer E.1908. Investigations of hardness testing and hardness. Phys Z, 9: 66.
[120]	Meyer Jr H W, Abeln T, Bingert S, Bruchey W J, Brannon R M, Chhabildas L C, et al.2000. Crack behavior of ballistically impacted ceramic. Shock Compression of Condensed Matter, 505: 1109-1112.
[121]	Normandia M J.2004. Impact response and analysis of several silicon carbides. International Journal of Applied Ceramic Technology, 1: 226-234.
[122]	Orphal D L.1997. Phase three penetration. International Journal of Impact Engineering, 20: 601-616.
[123]	Orphal D L, Franzen R R.1997. Penetration of confined silicon carbide targets by tungsten long rods at impact velocities from 1.5 to 4.6km/s. International Journal of Impact Engineering, 19: 1-13.
[124]	Orphal D L, Franzen R R, Piekutowski A J, Forrestal M J.1996. Penetration of confined aluminum nitride targets by tungsten long rods at 1.5-4.5km/s. International Journal of Impact Engineering, 18: 355-368.
[125]	Orphal D L, Franzen R R, Charters A C, Menna T L, Piekutowski A J.1997. Penetration of confined boron carbide targets by tungsten long rods at impact velocities from 1.5 to 5.0km/s. International Journal of Impact Engineering, 19: 15-29.
[126]	Partom Y.2011. Modeling interface defeat and dwell in long rod penetration into ceramic. Shock Compression of Condensed Matter, 1426: 76-79.
[127]	Pickering E, O'Masta M, Wadley H, Deshpande V.2016. Effect of confinement on the static and dynamic indentation response of model ceramic and cermet materials. International Journal of Impact Engineering, 110: 123-137.
[128]	Pickup I, Barker A, Chenari R, James B, Hohler V, Weber K, et al.2002. Aspects of geometry affecting the ballistic performance of ceramic targets. Ceramic transactions, 134: 643-650.
[129]	Pickup I, Barker A, Elgy I, Peskes G, van der Voorde M.2004. The effect of coverplates on the dwell characteristics of silican carbide subject to KE impact. International Symposium on Ballistics, Adelaide, Australia, 19-23.
[130]	Quan X, Clegg R A, Cowler M S, Birnbaum N K, Hayhurst C J.2006. Numerical simulation of long rods impacting silicon carbide targets using JH-1 model. International Journal of Impact Engineering, 33: 634-644.
[131]	Rabiei A.2014. Materials with Improved Absorption of Collision Forces for Railroad Cars.
[132]	Rajendran A.1994. Modeling the impact behavior of AD85 ceramic under multiaxial loading. International Journal of Impact Engineering, 15: 749-768.
[133]	Rajendran A, Grove D.1996. Determination of Rajendran-Grove ceramic constitutive model constants//Pro- ceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter: AIP Publishing. 539-542.
[134]	Renstr?m R, Lundberg P, Lundberg B.2004. Stationary contact between a cylindrical projectile and a flat target surface under conditions of dwell. International Journal of Impact Engineering, 30: 1265-1282.
[135]	Renstr?m R, Lundberg P, Lundberg B.2009. Self-similar flow of a conical projectile on a flat target surface under conditions of dwell. International Journal of Impact Engineering, 36: 352-362.
[136]	Roberson C, Hazell P.2003. Resistance of different ceramic materials to penetration by a tungsten carbide cored projectile. Ceramic Armor and Armor Systems, 151: 153-163.
[137]	Rosenberg Z, Tsaliah J.1990. Applying Tate's model for the interaction of long rod projectiles with ceramic targets. International Journal of Impact Engineering, 9: 247-251.
[138]	Savio S, Ramanjaneyulu K, Madhu V, Bhat TB.2011. An experimental study on ballistic performance of boron carbide tiles. International Journal of Impact Engineering, 38: 535-341.
[139]	Serjouei A.2014. Modelling and analysis of bi-layer ceramic-metal protective structures. [PhD Thesis]. Singapore:Nanyang Technological University (NTU).
[140]	Serjouei A, Gour G, Zhang X, Idapalapati S, Tan G E B.2016. On improving ballistic limit of bi-layer ceramic-metal armor. International Journal of Impact Engineering, 105: 54-67.
[141]	Simha C H M, Bless S, Bedford A.2002. Computational modeling of the penetration response of a high-purity ceramic. International Journal of Impact Engineering, 27: 65-86.
[142]	Sternberg J.1989. Material Properties Determining the resistance of ceramics to high velocity penetration. Journal of Applied Physics, 65: 3417-3424.
[143]	Steinhauser M O, Grass K.2005. Failure and plasticity models of ceramics—A numerical study. The 11th Int Symposium on Plasticity and Current Applications, (PLASTICITY 2005), Kauai, Hawaii, January 2005. 03-08.
[144]	Strassburger E, Bauer S, Weber S, Gedon H.2016. Flash X-ray cinematography analysis of dwell and penetration of small caliber projectiles with three types of SiC ceramics. Defence Technology, 12: 277-283.
[145]	Subramanian R, Bless S J.1995. Penetration of semi-infinite AD995 alumina targets by tungsten long rod penetrators. International Journal of Impact Engineering, 17: 807-816.
[146]	Tate A.1967. A theory for the deceleration of long rods after impact. Journal of the Mechanics and Physics of Solids, 15: 387-399.
[147]	Templeton D W, Holmquist T J, Leavy B.2002. Computational simulations of interface defeat//The 2nd International Conference on Structural Stability and Dynamics Singapore.
[148]	Thoma K, Helberg P, Strassburger E. Real2007. Time-resolved flash X-ray numerical simulation validation cinematographic investigation of interface defeat and numerical simulation validation//23rd International Symposium on Ballistics Tarragona, Spain, 2: 1065-1072.
[149]	Uth T, Deshpande V S.2013. Unsteady penetration of a target by a liquid jet. PNAS, 110: 20028-20033.
[150]	Wadley H N, B?rvik T, Olovsson L, Wetzel J J, Dharmasena K P, Hopperstad O S, et al.2013. Deformation and fracture of impulsively loaded sandwich panels. Journal of the Mechanics and Physics of Solids, 61: 674-699.
[151]	Walker J D, Anderson Jr C E.1991. The Wilkins' computational ceramic model for CTH. SwRI Report.
[152]	Westerling L, Lundberg P, Lundberg B.2001. Tungsten long-rod penetration into confined cylinders of boron carbide at and above ordnance velocities. International Journal of Impact Engineering, 25: 703-714.
[153]	Wilkins M L.1963. Calculation of elastic-plastic flow. DTIC Document.
[154]	Yuan J M, Tan G E, Goh W L.2016. Simulation of dwell to penetration transion for SiC ceramics subjected to impact of tungsten long rods. Advances in Ceramic Armor, Bioceramics, and Porous Materials: Ceramic Engineering and Science Proceedings, 37: 65.
[155]	Zavattieri P D.2000. Ballistic penetration of multi-layered ceramic/steel targets. AIP Conference Proceedings, 505: 1117-2220.
[156]	Zhang X F, Serjouei A, Sridhar I.2017. Criterion for interface defeat to penetration transition of long rod projectile impact on ceramic armor. Thin-Walled Structures.