Theoretical analysis model for the anti flat-nosed projectile impact on aluminum foam sandwich structures#br#
FANG Zhiwei1,2，HOU Hailiang1，LI Mao1，LI Dian1
1.College of Naval Architecture and Ocean Engineering, Naval University of Engineering, Wuhan 430033, China;
2.Unit 91189 of PLA,Lianyungang 222041,China
Abstract：In order to investigate the anti-penetration mechanism of an aluminum foam sandwich，dividing the process of bullet impact on the structure into three stages: the plugging of facet plate, aluminum foam failure in the mode of through-thickness shearing with tearing and back face sheet failure in local disc deformation—shear plugging.According to the failure model for the components of the aluminum foam sandwich, a theoretical analysis model was deduced based on the Newton’s laws of motion and energy conservation.Using the theoretical analysis model, the energy absorption of each component part of the structure was studied.The results show that the analysis model results are in good agreement with the experiment ones and the error is less than 10%.Analyzing the absorbed energy by different component part of the sandwich structure, it is found the aluminum foam absorbs the most energy.The aluminum foam core consumes 48.9% of the total energy.The consumed energy of the back facet plate is the next and that of the front facet plate is least.The different deformation and failure modes of both facet plates are the main reason that causes the difference in energy absorption proportion.
方志威1,2，侯海量1，李茂1，李典1. 泡沫铝夹芯结构抗平头弹侵彻理论分析模型[J]. 振动与冲击, 2018, 37(18): 95-99.
FANG Zhiwei1,2，HOU Hailiang1，LI Mao1，LI Dian1. Theoretical analysis model for the anti flat-nosed projectile impact on aluminum foam sandwich structures#br#. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(18): 95-99.
[1] RAMAMUTY U，KUMARAN M C．Mechanical property extraction through conical indentation Impact loading of a closed-cell aluminum foam[J]．ACTA Material，2004，52：181-189．
[2] ZHU Feng，LU Guoxing．Plastic deformation，failure and energy absorption of sandwich structures with metallic cellular cores[J]．International Journal of Protective Structures，2010，1(4)：537-541．
[3] 贾斌，马志涛，张伟，等．泡沫铝防护屏的Whipple防护结构弹道极限数值模拟研究[J]．材料科学与工艺，2010，18(3)，368-372．
JIA Bin，MA Zhitao，ZHANG Wei，et al．Numerical simulation investigation in ballistic limit of Whipple shield structure with al-foam bumperb[J]．Materials Science and Technology，2010，18(3)，368-372．
[4] 宋延泽，王志华，赵隆茂，等． 撞击载荷下泡沫铝夹层板的动力响应[J]．爆炸与冲击，30(2010)：01-07．
SONG Yanze，WANG Zhihua，ZHAO Longmao，et al．Dynamic response of foam sandwich plates subjected to impact loading[J]．Explosion and Shock Waves，30(2010)：01-07．
[5] JAE UNG CHO，SOON JIK HONG，SANG KYO LEE，et al．Impact fracture behavior at the material of aluminum foam[J]．Materials Science and Engineering A，2012，539(250-258)．
[6] 祖国胤，刘佳，李小兵，等．泡沫铝夹芯板低速冲击性能研究[J]．东北大学学报(自然科学版) 2014，35 (11)：1583-1587．
ZU Guoyin，LIU Jia，LI Xiaobing，et al．Research on the low-velocity impact performance of aluminum foam sandwich panels[J]．Journal of Northeastern University
(Natural Science)，2014，35(11)：1583-1587．
[7] JI HOON KIM，DAEYOUNG KIM，MYONG-
GYU，et al．Multiscale analysis of open-cell aluminum foam for impact energy absorption [J]．Journal of Materials Engineering and Performance，2016，25(9)：3977-3984．
[8] 闫晓鹏，张年梅，杨桂通．开孔与闭孔泡沫铝的抗侵彻性能研究[J]．兵工学报，2009，30(2)：149-153．
YAN Xiaopeng，ZHANG Nianmei，YANG Guitong．Research on anti-penetration of open-cell and closed-cell aluminum foams[J]．ACTA
ARMAMENTRAII，2009，30(2)：149-153，2015．
[9] MPERONI，SOLOMOS，V．PIZZINATO．Impact behaviour testing of aluminium foam[J]．Interna-
tional Journal of Impact Engineering：53(2013)：74-83．
[10] 章 超，徐松林，王鹏飞，等．不同冲击速度下泡沫铝变形和应力的不均匀性[J]．爆炸与冲击，2015，35(4)：567-575．
ZHANG Chao，XU Songlin，WANG Peng-fei，et al．Deformation and stress non uniformity of aluminum foam under different impact speeds[J]．
Explosion and Shock Waves，2015，35(4)：567-575．
[11] KAPIL MOHAM，TICK HON YIP，SRIDHAR IDAPALAPATI，et al．Impact response of aluminum foam core sandwich structures．Material Science and Engineering A．2011：94-101．
[12] 李志斌，卢芳云。泡沫铝夹芯板压入和侵彻性能的实验研究[J]．振动与冲击，2015，34(4)：1-5．
LI Zhibin，LU Fangyun．Test for indentation and perforation of sandwich panels with aluminum foam core[J]．Journal of Vibration and Shock，2015，34(4)：1-5．
[13] 牛卫晶．冲击载荷下泡沫铝夹芯防护结构的侵彻动力学行为研究[D]．太原：太原理工大学，2015．
NIU Weijing．Research on the penetration behavior of sandwich protective structures with aluminum foam cores under impact loading[D]．Taiyuan： Taiyuan University of Technology，2015．
[14] I．ELNASRI，H．ZHAO．Impact perforation of sandwich panels with aluminum foam core：A numerical and analytical study[J]．International Journal of Impact Engineering：2016，96，50-60．
[15] 侯海量，朱锡，李伟．轻型陶瓷/金属复合装甲抗弹机理研究[J]．兵工学报，2013，34(1)：105-114．
HOU Hailiang，ZHU Xi，LI Wei．Investigation on bullet proof mechanism of light ceramic/steel composite armor[J]．ACTA ARMAMENTARII 2013，34(1)：105-114．
[16] FORRESTAL M J，WARREN T L．Perforation equations for conical and ogival nose rigid projectiles into aluminum target plates[J]．International Journal of Impact Engineering，2009，36：220-225．
[17] LORNA J.GIBSON，MICHAEL F.ASHBY．Cellular solids structure and properties[M]．Cambridge：Cambridge University Press，1997．
[18] 王晓强． 舰船防护结构抗高速破片侵彻机理研究[D]．武汉：海军工程大学，2010．
WANG Xiaoqiang．Study on the penetration mechanism of warship’s protective structure by high-velocity fragment[D]．Wuhan：Naval university of Engineering，2010．
[19] 方志威，侯海量，张元豪，等．中高速弹体侵彻下泡沫铝夹芯结构抗侵彻性能实验研究[J]．舰船科学技术，已录用，待发表．
FANG Zhiwei，HOU Hailiang，ZHANG Yuanhao，et al．Experimental investigation on aluminum foam sandwich structure under medium and high velocity bullet impact[J]．Ship Science and Technology，Submitted and Accepted．
