Numerical Simulation of Anti-Penetration of Laminated Steel Plate by Hemispherical-Nosed Projectile Using SPH
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摘要: 随着高强度、高抗冲击特性钢结构在防护装甲、武器库防护门等军事领域得到广泛应用,钢结构的抗冲击性能成为研究的重点和热点。采用光滑粒子流体动力学方法(Smoothed Particle Hydrodynamics,SPH)对半球头弹撞击多层钢板的过程进行了数值模拟,并与实验对比,分析了半球头弹撞击后钢板的失效形式,得到了撞击点处钢板盘式隆起、蝶形破坏等过程,得到了钢板的von Mises应力分布以及半球头弹的剩余速度,验证了SPH方法在模拟钢板侵彻变形问题上的有效性。通过数值模拟,研究了钢体层数、钢体厚度对其抗侵彻特性的影响,研究表明:3 mm时单层钢板比多层钢板的防护能力强,9 mm时多层钢板比单层钢板的防护能力强,12 mm时多层钢板和单层钢板的防护能力相当。Abstract: With the wide application of high strength and high impact-resistant steel structures in armor protection of armor, arsenal protective doors and other military facilities, the impact-resistant properties of steel structures become a major focus and hot spot in defense research.In this paper, we simulated the process of hemispherical-nosed projectile penetration through a multilayer steel plate using smooth particle hydrodynamics, compared its results with those from experiment, and analyzed the failure form of the steel plate after being penetrated by hemispherical-nosed projectile, thereby obtaining the von Mises stress distribution and the residual velocity for the hemispherical-nosed projectile and verifying the effectiveness of SPH in the study of the steel plate penetration by a hemispherical-nosed projectile.We investigated the influence of the number of target plates and the thickness of the steel body on the target's penetration-resistant performance using numerical simulation.The results show that the protective strength of the single-layer steel plate is stronger than that of the multi-layer steel plate with a 3 mm thickness; that when the thickness is 9 mm, the multi-layer steel plate has a better protective capability than the single-layer steel plate; and that when the thickness is 12 mm, the multi-layer steel plate and the single-layer steel plate have similar protective strength.
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Key words:
- metal target plate /
- target structure /
- penetration /
- SPH
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表 1 Johnson-Cook本构模型参数
Table 1. Johnson-Cook constitutive model parameters
A/MPa B/MPa n C m Tm/K ${{\dot p}_0}$ /s-1 cV/(J·kg-1·K-1) T0/K r 300 426 0.34 0.015 1.0 775 1.0 875 300 0.1 表 2 6种不同工况的金属靶板尺寸表
Table 2. Six different conditions of metal target board sizes
Example Number of layers Total thickness/mm Body velocity/(m·s-1) 1 1 3 500 2 3 3 500 3 1 9 500 4 3 9 500 5 1 12 500 6 3 12 500 -
[1] TAYLOR G.The use of flat-ended projectiles for determining dynamic yield stress[J].Mathermaticle and Physical Sciences, Series A, 1948, 194:289-299. doi: 10.1098/rspa.1948.0081 [2] LIU D Q, Stronge W J.Basic limit of metal plates struck by blunt deformable missles:experiments[J].International Journal of Solids and Structures, 2000, 37:1403-1423. doi: 10.1016/S0020-7683(98)00322-9 [3] DEY S.The effect of target strength on the performation of steel plates using three different projectile nose shapes[J].International Journal of Impact Engineering, 2004, 30(8/9):1005-1038. https://www.researchgate.net/publication/245149356_The_effect_of_target_strength_on_the_perforation_of_steel_plates_using_three_different_projectile_nose_shapes [4] DEY S, BØRVIK T, TENG X, et al.On the ball isticres is tance of double-layered steel plates:an experimental and numerical investigation[J].International Journal of Solids and Structures, 2007, 44(20):6701-6723. doi: 10.1016/j.ijsolstr.2007.03.005 [5] BØRVIK T, LANGSETH M, HOPPERSTAD O S, et al.Ballistic penetration of steel plates[J].International Journal of Impact Engineering, 1999, 22(9/10):855-886. doi: 10.1007%2FBF02318057 [6] 邓云飞, 孟凡柱, 李剑峰, 等.Q235钢板对半球形头弹抗侵彻特性[J].爆炸与冲击, 2015, 35(3):386-392. doi: 10.11883/1001-1455(2015)03-0386-07DENG Y F, MENG F Z, LI J F, et al.The ballistic performance of Q235 metal plates subjected to impact by hemispherically-nosed projectiles[J].Explosion and Shock Waves, 2015, 35(3):386-392. doi: 10.11883/1001-1455(2015)03-0386-07 [7] 许宏发, 齐亮亮, 江淼, 等.弹体侵彻钢管注浆遮弹层的数值模拟[J].防护工程, 2017, 39(2):38-44. http://www.cnki.com.cn/Article/CJFDTOTAL-TJJS201104003.htmXU H F, QI L L, JIANG M, et al.Numerical simulation of projectile penetrating shelter covered by steel pipe grouting bursting layer[J].Projective Engineering, 2017, 39(2):38-44. http://www.cnki.com.cn/Article/CJFDTOTAL-TJJS201104003.htm [8] 强洪夫, 范树佳, 陈福振, 等.基于SPH方法的聚能射流侵彻混凝土靶板数值模拟[J].爆炸与冲击, 2016, 36(4):516-524. doi: 10.11883/1001-1455(2016)04-0516-09QIANG H F, FAN S J, CHEN F Z.Numerical simulation on penetration of concrete target by shaped charge jet with SPH method[J].Explosion and Shock Waves, 2016, 36(4):516-524. doi: 10.11883/1001-1455(2016)04-0516-09 [9] 王金涛, 余文力, 王涛, 等.SPH算法在长杆弹侵彻多层间隔靶中的应用[J].爆炸与冲击, 2011, 31(5):533-539. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=bzycj201105014WANG J T, YU W L, WANG T, et al.Smoothed particle hydrodynamics algorithm applied in numerical simulation of layered metal targets impacted by long-rod projectile[J].Explosion and Shock Waves, 2011, 31(5):533-539. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=bzycj201105014 [10] ZHANG Z C, QIANG H F.A hybrid particle-finite element method for impact dynamics[J].Nuclear Engineering and Design, 2011, 29(1):78-32. doi: 10.1016/j.nucengdes.2011.08.052 [11] 强洪夫.光滑例子流体动力学方法及应用[M].北京:科学出版社, 2017. [12] 王娟. 长杆弹侵彻有限直径金属厚靶的理论与数值分析[D]. 西安: 长安大学, 2015. http://cdmd.cnki.com.cn/Article/CDMD-10710-1015803380.htmWANG J. Theoretical and numerical study of long rod penetration into metallic thick targets finite radial extent[D]. Xi'an: Chang'an University, 2015. http://cdmd.cnki.com.cn/Article/CDMD-10710-1015803380.htm [13] NILSON A H. Bond stress-slip relationships in reinforced concrete[R]. Ithaca, New York: Cornell University, 1971. [14] MONAGHAN J J.Smoothed particle hydrodynamics[J].Annual Review of Astronomical and Astrophysics, 1992(30):543-574. [15] CHEN X W, LI Q M.Shear plugging and perforation of ductile circular plates struck by a blunt projectile[J].International Journal of Impact Engineering, 2003, 28(5):513-536. doi: 10.1016/S0734-743X(02)00077-5