穿甲燃烧弹侵彻陶瓷复合装甲和玻璃复合装甲的FEM-SPH耦合计算模型

刘赛; 张伟贵; 吕振华

doi:10.11883/bzycj-2020-0069

穿甲燃烧弹侵彻陶瓷复合装甲和玻璃复合装甲的FEM-SPH耦合计算模型

doi: 10.11883/bzycj-2020-0069

刘赛^{1, 2,},
张伟贵³,
吕振华^2, ,

1.
中国运载火箭技术研究院，北京 100076
2.
清华大学车辆与运载学院，北京 100084
3.
中国科学院空间应用工程与技术中心，北京 100094

详细信息

作者简介:
刘赛（1988－　），男，博士，工程师，lsliusai@163.com

通讯作者:
吕振华（1961－　），男，博士，教授，lvzh@tsinghua.edu.cn

中图分类号: O385
计量
- 文章访问数: 1052
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- 被引次数: 0
出版历程
- 收稿日期: 2020-03-19
- 修回日期: 2020-07-10
- 刊出日期: 2021-01-05

An FEM-SPH coupled model for simulating penetration of armor-piercing bullets into ceramic composite armors and glass composite armors

LIU Sai^{1, 2
,},
ZHANG Weigui³,
LYU Zhenhua^{2
, ,}

1.
China Academy of Launch Vehicle Technology, Beijing 100076, China
2.
School of Vehicle and Mobility, Tsinghua University, Beijing 100084, China
3.
Technology and Engineering Center for Space Utilization, Chinese Academy of Sciences, Beijing 100094, China

摘要

摘要: 为了提高小口径穿甲燃烧弹侵彻陶瓷复合装甲和玻璃复合装甲（透明装甲）的仿真分析精度，本文将传统的FEM（finite element method）-SPH（smooth particle hydrodynamics）耦合计算模型中穿甲燃烧弹弹芯的有限元模型和JC（Johnson-Cook）材料模型分别替换为SPH模型和JH2（Johnson-Holmquist-ceramics）材料模型，提出了新型FEM-SPH耦合计算模型。研究表明，新型FEM-SPH耦合计算模型可以有效模拟弹芯碎裂现象，减少SPH粒子和有限元耦合计算量，进而显著提高仿真模型的计算精度和计算效率，并给出了新型FEM-SPH耦合计算模型的有限元/粒子尺度和建模尺寸的优选结果。
- 穿甲燃烧弹 /
- 陶瓷复合装甲 /
- 玻璃复合装甲 /
- 透明装甲 /
- FEM-SPH耦合计算 /
- 建模方法 /
- 弹道极限速度
Abstract: To improve the ballistic simulation accuracy of ceramic composite armors and glass composite armors (transparent armors) against small-caliber armor piercing bullets, the new FEM (finite element method) -SPH (smooth particle hydrodynamics) coupled model was proposed, which replaced the FEM model and JC (Johnson-Cook) material model of the armor-piercing-bullet core of traditional FEM-SPH coupled model with the SPH model and JH2 (Johnson-Holmquist-ceramics) material model. The results show that the new FEM-SPH coupled model can effectively simulate bullet core fragmentation and reduce FEM-SPH coupled calculation amount. So it can improve the computation accuracy and efficiency. And the FEM element/SPH particle size and armor modeling size of the new FEM-SPH coupled model are optimized.
- armor piercing bullet /
- ceramic composite armor /
- glass composite armor /
- transparent armor /
- FEM-SPH coupled calculation /
- modeling method /
- ballistic limit velocity

HTML全文

图 1 侵彻后收集到的穿甲燃烧弹扭曲变形的被甲和脆性碎裂的弹芯^[5]

Figure 1. Twisted jackets and comminuted cores of armor piercing bullets after penetration^[5]

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图 2 穿甲燃烧弹的FEM-SPH耦合计算模型和陶瓷板的SPH模型

Figure 2. The FEM-SPH model of an armor piercing bullet and the SPH model of a ceramic plate

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图 3 方案1和方案2的新型FEM-SPH耦合计算模型

Figure 3. The new FEM-SPH model of structure 1 and structure 2

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图 4 方案1和方案2的数值模拟结果

Figure 4. Simulation results of structure 1 and structure 2

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图 5 陶瓷板和弹芯的等效塑性应变云图

Figure 5. Effective-plastic-strain contours of ceramic plates and bullet cores

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图 6 方案1的有限元计算模型和传统FEM-SPH耦合计算模型

Figure 6. The FEM model and traditional FEM-SPH model of structure 1

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图 7 方案1的有限元模型和传统FEM-SPH耦合模型的仿真计算结果

Figure 7. Simulation results of structure 1 by FEM and traditional FEM-SPH models

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图 8 采用有限元模型和传统FEM-SPH耦合模型得到的中心陶瓷和弹芯的等效塑性应变云图

Figure 8. Effective-plastic-strain contours of center ceramics and bullet cores simulated by FEM and traditional FEM-SPH models

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图 9 有限元模型和传统FEM-SPH耦合模型的陶瓷板的等效塑性应变云图

Figure 9. Effective-plastic-strain contours of ceramic plates of FEM model and traditional FEM-SPH model

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图 10 陶瓷块间距对弹道极限速度计算值的影响

Figure 10. Influence of ceramic spacing to computed ballistic limit velocity

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图 11 透明装甲的新型FEM-SPH耦合计算模型

Figure 11. The new FEM-SPH model of the transparent armor

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图 12 新型FEM-SPH耦合计算模型的仿真计算结果剖视图

Figure 12. Cutaway view of simulation result by the new FEM-SPH model

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图 13 无机玻璃的等效塑性应变云图

Figure 13. Effective-plastic–strain contours of glasses

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图 14 透明装甲的有限元计算模型和传统FEM-SPH耦合计算模型

Figure 14. The FEM and traditional FEM-SPH models for the transparent armor

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图 15 透明装甲的有限元模型和传统FEM-SPH耦合模型的仿真计算结果

Figure 15. Simulated results of the transparent armor by the FEM and traditional FEM-SPH models

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图 16 采用有限元模型得到的无机玻璃的等效塑性应变云图

Figure 16. Simulated effective-plastic-strain contours of glasses by the FEM model

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图 17 采用传统FEM-SPH耦合模型得到的无机玻璃的等效塑性应变云图

Figure 17. Simulated effective-plastic-strain contours of glasses by the traditional FEM-SPH model

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表 1 陶瓷复合装甲组成

Table 1. Composition of ceramic composite armors

装甲方案	组分（面板到背板）	各组分厚度/mm
1	G/A陶瓷/G/K/G	1.2/X/1.2/10/2
2	G/B陶瓷/G/K/G	1.2/X/1.2/10/2

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表 2 陶瓷复合装甲的新型FEM-SPH耦合计算模型的建模方式和材料模型

Table 2. Modeling methods and material models for the new FEM-SPH model of ceramic composite armors

部件	建模方式	平均尺度/mm	材料模型
弹芯	SPH	0.5	JH2 (Johnson-Holmquist-ceramics)模型
陶瓷	SPH	0.5～1.0	JH2 (Johnson-Holmquist-ceramics)模型
铅套	FEM	0.2～2.0	JC (Johnson-Cook)模型
被甲		0.2～2.0	JC (Johnson-Cook)模型
玻纤板		0.5～8.0	正交各向异性连续损伤本构模型
Kevlar纤维板		0.5～8.0	正交各向异性连续损伤本构模型

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表 3 穿甲燃烧弹弹芯的JH2材料模型主要参数

Table 3. Material constants for the JH2 model of an armor-piercing-bullet core

A	B	C	M	N	D₁	D₂	$T{\rm{/GPa}}$	${P_{{\rm{Hel}}}}{\rm{/GPa}}$	${\sigma _{{\rm{Hel}}}}{\rm{/GPa}}$
0.2	0.014	0.005	0	0	0.15	30	20	20	14.0

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表 4 方案1采用不同计算模型得到的弹道极限速度以及计算所用的时间

Table 4. Ballistic limit velocities of structure 1 by different computational models and the corresponding time used for computation

计算模型	FEM	OFS	NFS	NFSA	NFSB	NFSC	NFSD
弹道极限速度计算值	0.598	0.636	0.970	0.546	0.996	0.855	1.003
计算时间	0.224	5.582	1.000	0.522	2.284	0.493	1.746

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表 5 透明装甲组成

Table 5. Composition of the transparent armor

组分（面板到背板）	G	PU	G	PU	G	PU	PC
厚度/mm	10	1	10	1	10	1	6

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表 6 透明装甲的新型FEM-SPH耦合计算模型的建模方式和材料模型

Table 6. Modeling methods and material models for the new FEM-SPH model of the transparent armor

部件	建模方式	平均尺度/mm	材料模型
弹芯	SPH	0.5	JH2 (Johnson-Holmquist-ceramics)模型
无机玻璃	SPH	0.6	JH2 (Johnson-Holmquist-ceramics)模型
铅套	FEM	0.2～2.0	JC (Johnson-Cook)模型
被甲		0.2～2.0	JC (Johnson-Cook)模型
聚氨酯		0.6	弹塑性材料模型
聚碳酸酯		0.6	弹塑性材料模型

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表 7 透明装甲采用不同计算模型得到的弹道极限速度以及计算所用的时间

Table 7. Ballistic limit velocities of the transparent armor by different computational models and the corresponding time used for computation

计算模型	FEM	OFS	NFS	NFSA	NFSB	NFSC	NFSD
弹道极限速度计算值	0.711	0.865	0.950	0.899	0.916	0.813	0.967
计算时间	0.171	5.384	1.000	0.253	8.637	0.233	3.178

下载: 导出CSV

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