三维自适应FE-SPH耦合算法在多层间隔金属靶侵彻问题中的应用

胡德安; 孙占华; 朱婷

doi:10.11883/1001-1455-(2015)03-0416-07

三维自适应FE-SPH耦合算法在多层间隔金属靶侵彻问题中的应用

doi: 10.11883/1001-1455-(2015)03-0416-07

胡德安^1,,
孙占华^{1, 2},
朱婷¹

1.
湖南大学特种装备先进设计技术与仿真教育部重点实验室, 湖南长沙 410082
2.
94647部队, 福建福州 350026

基金项目: 国家自然科学基金项目(10902038)

详细信息

作者简介:
胡德安(1977—), 男, 博士, 教授, 博士生导师, hudean@163.com

中图分类号: O383.3
计量
- 文章访问数: 3108
- HTML全文浏览量: 335
- PDF下载量: 516
- 被引次数: 14
出版历程
- 收稿日期: 2013-03-06
- 修回日期: 2014-05-19
- 刊出日期: 2015-05-25

Application of 3D FE-SPH adaptive coupling algorithm to penetration analysis of spaced multi-layered metallic targets

Hu De-an^1
,,
Sun Zhan-hua^{1, 2},
Zhu Ting¹

1.
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, Hunan, China
2.
Unit 94647 PLA, Fuzhou 340026, Fujian, China

摘要

摘要: 鉴于有限元算法不能有效地模拟侵彻过程所产生的金属碎片, 本文中基于三维自适应FE-SPH耦合算法的基本理论, 自主开发了模拟多层间隔金属靶侵彻问题的三维FE-SPH耦合计算程序。该程序采用四面体单元对多层间隔金属靶侵彻模型进行初始离散, 计算过程中, 当四面体单元等效塑性应变超过某一设定值时, 单元自动转化为SPH粒子, 并引入有限单元-粒子接触算法和耦合算法, 实现大变形和破碎区域采用SPH方法计算, 克服有限元法单元畸变存在的问题。多层间隔靶侵彻算例分析表明, 三维FE-SPH耦合计算程序采用等效塑性应变作为转化判据计算结果较稳定, 并且能够有效地再现侵彻过程中所产生的碎片, 能够模拟侵彻碎片对后层靶的毁伤效应。
- 爆炸力学 /
- FE-SPH耦合算法 /
- 侵彻 /
- 等效塑性应变 /
- 多层间隔金属靶
Abstract: As the metal fragments of penetration can not be effectively simulated by finite element method(FEM), a three-dimensional(3D)calculation code was developed to simulate penetration problem of multi-layered spaced metal plates based on theory of 3D FE-SPH adaptive coupling algorithm.Numerical models are approximated initially by tetrahedral elements.When equivalent plastic strain of elements reaches a specified value, they are converted into particles and are calculated by Smoothed Particle Hydrodynamics(SPH)method.Then the regions of large deformation and crush are simulated by SPH method, as SPH method overcome the distortion of elements in FEM.Contact method and coupling algorithm are used to calculate the interface between FEM and SPH method. Two numerical examples are presented to validate the 3D FE-SPH code by representing penetration process of spaced multi-layered metallic targets.The numerical simulation results show that good accuracy and stability are compared to experiment, when equivalent plastic strain is used as criterion of conversion.
- mechanics of explosion /
- FE-SPH coupling method /
- penetration /
- equivalent plastic strain /
- multi-layered metallic targets

HTML全文

图 1 FE-SPH自适应耦合算法计算流程

Figure 1. The flow chat of adaptive FE-SPH coupling method

下载: 全尺寸图片幻灯片

图 2 数值模型

Figure 2. Numerical model

下载: 全尺寸图片幻灯片

图 3 实验用弹靶尺寸

Figure 3. Geometries of the targets and projectile

下载: 全尺寸图片幻灯片

图 4 FE-SPH耦合算法计算结果

Figure 4. Computional result by using FE-SPH method

下载: 全尺寸图片幻灯片

图 5 计算得到的子弹速度时程曲线

Figure 5. Histories of the projectile velocities by simulation

下载: 全尺寸图片幻灯片

图 6 2层间隔金属靶斜侵彻示意图

Figure 6. Sketch of two-layered metallic targets under oblique penetration

下载: 全尺寸图片幻灯片

图 7 第1层靶侵彻破坏图像

Figure 7. Results of experiment and simulation in the first target

下载: 全尺寸图片幻灯片

图 8 第2层靶侵彻破坏图像

Figure 8. Results of experiment and simulation in the second target

下载: 全尺寸图片幻灯片

表 1 实验数据^[6]与计算结果比较

Table 1. Comparison between experimental and simulation results

v/(m·s^-1)							v/(m·s^-1)	FEM	δ/%	FE-SPH	δ/%
No.	工况2	工况3	工况4	工况6	工况8	工况9	v/(m·s^-1)	FEM	δ/%	FE-SPH	δ/%
v₀	1267.0	1269.0	1308.0	1341.0	1286.0	1280.0	1291.8	1300.0	-0.63	1300.0	-0.63
v₁	1092.0	1150.0	954.0	1088.0	1196.0	1080.0	1093.3	1065.2	2.57	1119.1	-2.36
v₂	968.0	-	-	822.0	961.0	878.0	907.3	861.4	5.06	917.2	-1.09
v₃	-	-	-	-	750.0	-	750.0	651.1	13.19	741.1	1.15
v₄	-	-	-	-	-	551.0	551.0	457.3	17.01	571.5	-3.72

下载: 导出CSV

参考文献(24)

[1]	Forrestal M J, Bϕrvik T, Warren T L. Perforation of 7075-T651 aluminum armor plates with 7.62 mm APM2 bullets[J]. Experimental Mechanics, 2010, 50(8): 1245-1251. doi: 10.1007/s11340-009-9328-4
[2]	Bϕrvik T, Clansen A H, Eriksson M, et al. Experimental and numerical study on the perforation of AA6005-T6 panels[J]. International Journal of Impact Engineering, 2005, 32(1/2/3/4): 35-64.
[3]	Gupta N K, Madhu V. An experimental study of normal and oblique impact of hard-core projectile on single and layered plates[J]. International Journal of Impact Engineering, 1997, 19(5/6): 395-414. http://www.sciencedirect.com/science/article/pii/s0734743x97000018
[4]	董永香, 冯顺山, 段相杰.弹丸斜侵彻多层间隔靶特性研究[J].中北大学学报:自然科学版, 2010, 31(3): 221-226. http://d.wanfangdata.com.cn/Periodical/hbgxyxb201003004 Dong Yong-xiang, Feng Shun-shan, Duan Xiang-jie. Oblique penetration characteristics of multi-layered spaced targets by steel projectiles[J]. Journal of North University of China: Natural Science Edition, 2010, 31(3): 221-226. http://d.wanfangdata.com.cn/Periodical/hbgxyxb201003004
[5]	朱锡, 梅志远, 刘润泉, 等.舰用轻型复合装甲结构及其抗弹实验研究[J].爆炸与冲击, 2003, 23(1): 61-66. http://d.wanfangdata.com.cn/Periodical/bzycj200301012 Zhu Xi, Mei Zhi-yuan, Liu Run-quan, et al. Warship's light composite armor structure resistibility for ballistic impact[J]. Explosion and Shock Waves, 2003, 23(1): 61-66. http://d.wanfangdata.com.cn/Periodical/bzycj200301012
[6]	岳小兵, 龙源, 方向, 等.高速模拟钢质弹丸侵彻多层靶仿真[J].解放军理工大学学报:自然科学版, 2003(4): 40-44. http://www.cnki.com.cn/Article/CJFDTotal-JFJL200304009.htm Yue Xiao-bing, Long Yuan, Fang Xiang, et al. Numerical simulation of steel projectile penetrating intomulti-layer spaced metal plates[J]. Journal of PLA University of Science and Technology: Natural Science, 2003(4): 40-44. http://www.cnki.com.cn/Article/CJFDTotal-JFJL200304009.htm
[7]	Bϕrvik T, Hopperstad O S, Pedersen K O. Quasi-brittle fracture during structural impact of AA7075-T651 aluminum plates[J]. International Journal of Impact Engineering, 2010, 37(5): 537-551. http://www.sciencedirect.com/science/article/pii/S0734743X09001924
[8]	Johnson G R. Linking of lagrangian particle methods to standard finite element methods for high velocity impact simulations[J]. Nuclear Engineering and Design, 1994(1): 265-274. http://www.sciencedirect.com/science/article/pii/0029549394901430
[9]	Johnson G R, Stryk R A. Symmetric contact and sliding interface algorithms for intense impulsive loading computations[J]. Compute Methods in Applied Mechanics and Engineering, 2001, 190(35/36): 4531-4549. http://www.sciencedirect.com/science/article/pii/S0045782500003315
[10]	Johnson G R, Stryk R A. Conversion of 3D distorted elements into meshless particles during dynamic deformation[J]. International Journal of Impact Engineering, 2003, 28(9): 947-966. http://www.sciencedirect.com/science/article/pii/S0734743X03000125
[11]	Sauer M. Simulation of high velocity impact in fluid-filled containers using finite elements with adaptive coupling to smoothed particle hydrodynamics[J]. International Journal of Impact Engineering, 2011, 38(6): 511-520. http://www.sciencedirect.com/science/article/pii/S0734743X10001697
[12]	Sonia F M, Javier B and Antonio H. Continuous blending of SPH with finite elements[J]. Computers & Structures, 2005, 83(17/18): 1448-1458. http://www.sciencedirect.com/science/article/pii/S004579490500074X
[13]	Vuyst T D, Vignjevic R, Campbell J C. Coupling between meshless and finite element methods[J]. International Journal of Impact Engineering, 2005, 31(8): 1054-1064. http://www.sciencedirect.com/science/article/pii/S0734743X0400082X
[14]	王吉, 王肖钧, 卞梁.光滑粒子法与有限元的耦合算法及其在冲击动力学中的应用[J].爆炸与冲击, 2007, 27(6): 522-528. http://www.cqvip.com/Main/Detail.aspx?id=26408350 Wang Ji, Wang Xiao-jun, Bian Liang. Linking of smoothed particle hydrodynamics method to standardfinite element method and its application in impact dynamics[J]. Explosion and Shock Waves, 2007, 27(6): 522-528. http://www.cqvip.com/Main/Detail.aspx?id=26408350
[15]	梁超, 刘平, 胡德安, 等. FE-SPH自适应耦合方法模拟钢筋混凝土靶侵彻问题[C]//全国强动载效应及防护学术会议暨复杂介质/结构的动态力学行为创新研究群体学术研讨会论文集. 2013: 28-39.
[16]	胡德安, 韩旭, 肖毅华, 等.光滑粒子法及其与有限元耦合算法的研究进展[J].力学学报, 2013, 45(5): 639-652. Hu De-an, Han Xu, Xiao Yi-hua, et al. Research developments of smoothed particle hydrodynamicsmethod and its coupling with finite element method[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(5): 639-652.
[17]	杨刚, 梁超, 刘平, 等.基于三维FE-SPH自适应耦合算法的子弹侵彻混凝土靶跳飞问题模拟[J].工程力学, 2013, 30(9): 276-282. http://www.cqvip.com/QK/95324X/20139/47268989.html Yang Gang, Liang Chao, Liu Ping, et al. Numerical simulation of ricochet problem of projectile penetrating intoconcrete target based on 3d FE-SPH adaptive coupling algorithm[J]. Engineering Mechanics, 2013, 30(9): 276-282. http://www.cqvip.com/QK/95324X/20139/47268989.html
[18]	肖毅华, 胡德安, 韩旭.一种有限元-光滑粒子流体动力学耦合算法[J].计算物理, 2011, 28(2): 219-225. http://d.wanfangdata.com.cn/Periodical/jswl201102009 Xiao Yi-hua, Hu De-an, Han Xu. A coupling algorithm of finite element and smoothed particle hydrodynamics[J]. Chinese Journal of Computational Physics, 2011, 28(2): 219-225. http://d.wanfangdata.com.cn/Periodical/jswl201102009
[19]	Johnson G R, Cook W H. A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures[C]//Proceedings of the Seventh International Symposium on Ballistics. Netherlands, 1983.
[20]	Gilat A, Wu X R. Plastic deformation of 1020 steel over a wide range of strain rates and temperatures[J]. International Journal of Plasticity, 1997, 13(6/7): 611-632. http://www.sciencedirect.com/science/article/pii/S0749641997000284
[21]	范志强, 高德平, 覃志贤, 等. 20号钢的冲击拉伸力学性能试验研究[J].燃气涡轮试验与研究, 2006(4): 35-37. http://www.cnki.com.cn/Article/CJFDTotal-RQWL200604007.htm Fan Zhi-qiang, Gao De-ping, Qin Zhi-xian, et al. Experimental study of 20 steel under tensile impact[J]. Gas Turbine Experiment and Research, 2006(4): 35-37. http://www.cnki.com.cn/Article/CJFDTotal-RQWL200604007.htm
[22]	Schwer L. Optional strain-rate forms for the Johnson-cook constitutive model and the role of the parameter epsion _0[C]//Proceedings of the LS_DANY Anwenderforum. Frankenthal, Germany, 2007.
[23]	吴海军, 姚伟, 黄风雷, 等.超高强度钢30Cr MnSiNi₂A动态力学性能实验研究[J].北京理工大学学报, 2010, 3(3): 258-262. http://d.wanfangdata.com.cn/Periodical/bjlgdxxb201003002 Wu Hai-jun, Yao Wei, Huang Feng-lei, et al. Experimental study on dynamic mechanical properties ofultrahigh strength 30Cr MnSiNi₂A steel[J]. Transactions of Beijing Institute of Technology, 2010, 3(3): 258-262. http://d.wanfangdata.com.cn/Periodical/bjlgdxxb201003002
[24]	Jutras M. Improvement of the characterisation method of the Johnson-Cook model[D]. Quebec: Laval University, 2008.

施引文献

期刊类型引用(6)

1.	杨玉好，郭香华，张庆明. 动能块超高速碰撞多层防护结构的毁伤特性数值模拟. 高压物理学报. 2022(04): 155-165 . 百度学术
2.	刘志勇，王金涛，何彬，罗永锋，王飞. 爆炸载荷作用下铀气溶胶形成机理研究. 爆炸与冲击. 2021(05): 15-26 . 本站查看
3.	王旱祥，车家琪，刘延鑫，兰文剑，张砚雯，吕孝孝，杜明超. 一种新型多级分段压裂自动投球器. 天然气工业. 2019(04): 76-81 . 百度学术
4.	谢桂兰，陈飞，龚曙光，陆文举. 基于物质点法不同头部形状弹体侵彻动靶过程的仿真研究. 应用力学学报. 2019(03): 573-579+758 . 百度学术
5.	张文娜，钱江. 3DSPH-SHELL耦合算法在薄壁结构冲击动力响应中的应用. 科学技术与工程. 2019(21): 27-34 . 百度学术
6.	胡廷勋，胡德安. 含预制孔容器内爆问题的FEM-SPH耦合算法模拟. 振动与冲击. 2018(03): 210-216 . 百度学术