预测不同冲击载荷下弹药响应特性HOTM方法

廖祜明; 杨燕红; 郭至荣; 王浩; 黄致达; 杨宏涛; 马千里; 贾宪振; 黎波

doi:10.11883/bzycj-2025-0178

预测不同冲击载荷下弹药响应特性HOTM方法

doi: 10.11883/bzycj-2025-0178

廖祜明^{1, 2,},
杨燕红^{1, 2},
郭至荣^{1, 2},
王浩^{1, 2},
黄致达^{1, 2},
杨宏涛³,
马千里³,
贾宪振⁴,
黎波^3, ,

1.
云翼(嘉兴)软件科技有限公司，浙江嘉兴 314500
2.
云翼超算(北京)软件科技有限公司，北京 100028
3.
北京大学力学与工程科学学院，北京 100871
4.
西安近代化学研究所，陕西西安 710065

详细信息

作者简介:
廖祜明（1987－　），男，博士，liao@escaas.com.cn

通讯作者:
黎　波（1979－　），男，博士，长聘副教授，bo.li@pku.edu.cn

中图分类号: O381; TJ410.1
计量
- 文章访问数: 182
- HTML全文浏览量: 20
- PDF下载量: 36
- 被引次数: 0
出版历程
- 收稿日期: 2025-06-16
- 修回日期: 2025-11-03
- 网络出版日期: 2025-11-04

The HOTM method for predicting ammunition response characteristics under different impact load conditions

LIAO Huming^{1, 2
,},
YANG Yanhong^{1, 2},
GUO Zhirong^{1, 2},
WANG Hao^{1, 2},
HUANG Zhida^{1, 2},
YANG Hongtao³,
MA Qianli³,
JIA Xianzhen⁴,
LI Bo^{3
, ,}

1.
ESCAAS Co., Ltd., Jiaxing 314500, Zhejiang, China
2.
ESCAAS Co., Ltd., Beijing 100028, China
3.
College of Engineering, Peking University, Beijing 100871, China
4.
Xi’an Modern Chemistry Research Institute, Xi’an 710065, Shaanxi, China

摘要

摘要: 基于热最优输运无网格（hot optimal transportation meshfree, HOTM）方法，提出了能够准确预测弹药在冲击载荷下响应特性的无网格数值仿真方法，建立了炸药在冲击载荷下的高精度热-力-化学耦合模型，综合考虑了炸药起爆过程中的温度效应和压力效应，将炸药起爆的Arrhenius热-化学反应耦合模型和局部高压引发的Lee-Tarver压力三项式点火模型有机耦合，实现了对不同冲击速度下炸药不同起爆机制的准确模拟，从而预测弹药在遭受冲击载荷过程中的高速接触、金属外壳大塑性变形、材料断裂、热传导、炸药起爆、化学反应产物膨胀做功等复杂的物理现象。以子弹撞击弹药（速度850 m/s）和破片撞击弹药（1850 m/s）2种不同冲击速度的典型冲击场景数值模拟为例，分析了冲击速度对炸药起爆机制和弹药整体响应的影响规律，并与相关试验结果进行对比。结果表明，本方法可有效刻画冲击作用下的材料大变形、摩擦生热、热点形成及化学反应传播等耦合机制，研究成果可为弹药抗冲击设计优化和安全性评估提供可靠的技术支撑。
- 子弹/破片撞击 /
- 弹药安全性 /
- HOTM方法 /
- 热-力-化学耦合
Abstract: With the development of modern weapon systems, the requirements for the survivability of ammunition in various complex environments have been continuously increasing. During the processes of storage, flight, and combat, ammunition may be subjected to extreme impact loads such as high-speed impacts, shock waves, bullet and fragment impacts. The external impacts can induce plastic deformation and fracture of the ammunition casing, and even detonate the internal explosives. These responses involve complex phenomena including impact loading, thermo-mechanical coupling of materials, chemical reactions of explosives, and blast effects, representing a typical dynamic response problem of reactive materials under extreme thermo-mechanical coupling conditions. Accurately predicting the responses of ammunition under impact loading is critical for its design optimization and safety assessment. Based on the Hot Optimal Transportation Meshfree (HOTM) method, a meshfree numerical approach was proposed to accurately predict the ammunition responses under different impact loadings. Meanwhile, a thermo-mechanical-chemical coupling constitutive model of explosives was established, which took the effects of temperature and pressure on the explosive’s chemical reaction and detonation into account. The Arrhenius thermal-chemical reaction coupling model for explosive initiation and the Lee-Tarver three-term pressure ignition model induced by local high pressure were integrated to accurately simulate the different initiation mechanisms of explosives under varying impact velocities, thereby predict complex physical phenomena during the impact loading of ammunition. These phenomena include high-speed contact, large plastic deformation of the metal casing, material fracture, heat conduction, explosive initiation, and the expansion work performed by chemical reaction products. Taking the numerical simulations of two typical impact scenarios—bullet impact on ammunition at 850 m/s and fragment impact at 1850 m/s—as examples, the influence of impact velocity on the initiation mechanisms of explosives and the overall response of ammunition was analyzed, with comparisons made against relevant experimental results. The proposed approach and findings provide reliable technical support for the optimization of impact-resistant design and safety assessment of ammunition.
- bullet/fragment impact /
- ammunition safety /
- HOTM method /
- thermal-mechanical-chemical coupling

HTML全文

图 1 热-力-化学强耦合求解框架

Figure 1. Thermal-mechanical-chemical coupling solution framework

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图 2 钢材杨氏模量和屈服强度与温度的关系

Figure 2. Relationship of Youngʼs modulus and yield strength of steel with temperature

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图 3 空间离散示意图^[34]

Figure 3. Spatial discrete schematic diagram^[34]

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图 4 本征侵蚀裂纹扩展算法等效能量释放率计算示意图^[45]

Figure 4. Schematic of the equivalent energy release rate calculation of the EigenErosion crack propagation algorithm^[45]

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图 5 1/4对称子弹撞击计算模型（单位：mm）

Figure 5. Calculation model with quarter-symmetry for bullet impact (unit: mm)

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图 6 子弹高速撞击弹药引发炸药燃烧过程

Figure 6. Simulation of the deflagration process in explosives induced by high-speed bullet impact on ammunition

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图 7 267 μs时刻炸药沿中轴线反应分布

Figure 7. Reaction distribution along the central axis of the explosive at 267 μs

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图 8 仿真和试验结果对比

Figure 8. Comparison between simulation and experimental results

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图 9 1/4对称破片撞击计算模型（单位：mm）

Figure 9. Calculation model with quarter-symmetry for fragment impact (unit: mm)

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图 10 破片高速撞击弹药引发炸药爆轰过程仿真

Figure 10. Simulation of high-speed fragment impact on ammunition initiating explosive detonation process

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图 11 45 μs时刻炸药沿中轴线反应分布

Figure 11. Reaction distribution along the central axis of the explosive at 45 μs

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表 1 材料物性参数^[50]

Table 1. Material parameters^[50]

材料	ρ/(kg∙m⁻³)	E/GPa	υ	δ_cr/(kJ∙m⁻²)
4340钢	7850	200	0.3	200
45钢	7800	200	0.3	200
PBX-3	1820	2.62	0.21	—
高强钢	7850	200	0.29	1000

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表 2 材料本构模型参数

Table 2. Parameters of material constitutive model

材料	σ₀/MPa	ε_pl,0	$ {\dot{\varepsilon }}_{\mathrm{p}\text{l},0} $/s⁻¹	n	m	l	T_m/K
4340钢	580	0.001	1.0	0.15	0.013	0.8856	1795
45钢	500	0.05	1.0	0.22	0.135	0.8856	1795
PBX-3	5.4	0.00006	0.00164	0.05	0.15	0.5	550
高强钢	1000	0.001	1.0	0.083	0.00294	1.17	1777

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