DNAN基含铝炸药低应变率下J-C本构关系

康松逸; 许杰; 卢熹; 王树山; 贾曦雨

doi:10.11993/j.issn.2096-3920.2023-0130

DNAN基含铝炸药低应变率下J-C本构关系

doi: 10.11993/j.issn.2096-3920.2023-0130

1.
沈阳理工大学装备工程学院, 辽宁沈阳, 110159
2.
北京理工大学爆炸科学与技术国家重点实验室, 北京, 100081

详细信息

作者简介:
康松逸(1997-), 男, 博士在读, 研究方向为冲击动力学

通讯作者:
贾曦雨(1988-), 男, 副研究员, 研究方向为水中兵器, E-mail: 6120230120@bit.edu.cn.

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- 文章访问数: 21
- HTML全文浏览量: 10
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- 被引次数: 0
出版历程
- 收稿日期: 2023-10-19
- 修回日期: 2024-02-21
- 录用日期: 2024-02-29
- 网络出版日期: 2024-09-11

J-C Constitutive Relation at Low Strain Rates for DNAN-based Aluminium Explosives

1.
Shenyang Ligong University, Shenyang 110159, China
2.
Beijing Institute of Technology, Beijing 100081, China

摘要

摘要: 炸药装药的跌落响应问题是典型的低速撞击点火问题, 表现出应变率低、脉宽长、脉冲小等特点, 与高速冲击点火显著不同。为研究典型水中兵器战斗部装药跌落条件下的动态力学特征, 利用分离式霍普金森压杆(SHPB)对DNAN基含铝炸药进行动态压缩试验, 通过入射波整形技术实现了常应变率加载, 得到了常温常压条件下80、180、280、360和440 s⁻¹等5种低应变率下DNAN基含铝炸药的应力应变曲线, 采用Johnson-Cook(J-C)本构模型对试验数据进行了参数拟合, 并结合数值仿真加以验证。结果表明: DNAN基含铝炸药的弹性模量、屈服强度、屈服应变、失效应力及失效应变均随应变率的提高而增大。利用拟合得到的J-C本构参数, 可以在数值仿真中很好地还原DNAN基含铝炸药在低应变率下的动态力学行为, 从而为相关跌落安全性数值仿真计算提供数据支撑。
- 水中兵器 /
- 战斗部 /
- DNAN基含铝炸药 /
- 分离式霍普金森压杆 /
- 动态力学性能 /
- J-C模型
Abstract: The drop response problem of explosive charge is a typical low-velocity impact ignition problem, which exhibits the characteristics of low strain rate, long pulse width and small pulse, and is significantly different from the high-velocity impact ignition. In order to study the dynamic mechanical characteristics of a typical underwater weapon combatant charge drop conditions, the dynamic compression test of DNAN-based aluminium explosives was carried out by using the separated Hopkinson press bar(SHPB), and the normal strain rate loading was achieved by the incident wave shaping technique, and the stress-strain curves of DNAN-based aluminium explosives at three low strain rates, 180/s, 280/s and 360/s, were obtained under the conditions of normal temperature and normal pressure, and the Johnson -Chester strain curve was used. The Johnson-Cook intrinsic model was used to fit the parameters of the test data and verified by numerical simulation. The results show that: the elastic modulus, yield strength, yield strain, failure stress and failure strain of DNAN-based aluminium explosives all increase with the increase of strain rate; using the fitted JC principal parameters, the dynamic mechanical behaviour of DNAN-based aluminium explosives under low strain rate can be well restored in numerical simulation, and it can provide a strong data support for the related numerical simulation calculation of the safety of fall.
- underwater weapon /
- warhead /
- DNAN-based Aluminium explosives /
- Split Hopkinson pressure bar(SHPB) /
- dynamic mechanical performance /
- J-C model

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图 1 $ \varPhi 10\;\mathrm{m}\mathrm{m}\times 5\;\mathrm{m}\mathrm{m} $ DNAN基含铝炸药

Figure 1. $ \mathit{\varPhi }10\;\mathrm{m}\mathrm{m}\times 5\;\mathrm{m}\mathrm{m} $ DNAN-based underwater explosives

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图 2 SHPB结构示意图

Figure 2. Schematic diagram of the SHPB structure

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图 3 典型试样的SHPB原始波形图

Figure 3. Raw SHPB waveforms of a typical specimen

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图 4 典型试样的SHPB波形分离图

Figure 4. SHPB waveform separation diagram of a typical specimen

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图 5 典型试样前后形貌对比

Figure 5. Comparison of the shape of a typical specimen before and after

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图 6 不同应变率下试样的应力应变曲线

Figure 6. Stress-strain curves for specimens at different strain rates

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图 7 不同应变率下J-C本构模型与试验结果对比

Figure 7. Comparison of JC intrinsic model and experimental results for three strain rates

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图 8 SHPB仿真计算模型

Figure 8. SHPB Simulation Computational Model

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图 9 不同应变率下不同尺寸网格仿真结果对比曲线

Figure 9. Comparison of simulation results with different mesh sizes at different strain rates

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表 1 试验前后试样尺寸对比

Table 1. Comparison of specimen dimensions before and after testing

应变率/s⁻¹	试验前		试验后
应变率/s⁻¹	直径/mm	长度/mm	直径/mm	长度/mm
80	9.9	5.05	10.01	5.04
180	10.01	5.03	10.06	5.02
280	10.10	5.05	10.33	5.04
360	10.04	5.09	10.30	5.01
440	10.10	5.12	10.39	5.07

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表 2 不同应变率下试样的动态力学参数

Table 2. Dynamic mechanical parameters of specimens at different strain rates

应变率 /s⁻¹	弹性模量 /GPa	屈服强度 /MPa	屈服应变 /%	失效应力 /MPa	失效应变 /%
80	2.42	10.01	0.42	11.61	0.53
180	4.04	14.03	0.44	17.59	0.74
280	5.03	18.02	0.54	21.22	0.98
360	5.54	19.97	0.58	24.87	1.08
440	5.75	20.71	0.59	26.67	1.17

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表 3 DNAN基含铝炸药的J-C本构参数

Table 3. JC intrinsic parameters of DNAN-based underwater explosives

A/Mbar	B/Mbar	n	C
1.82×10⁻⁶	6.5×10⁻⁵	0.7	0.45

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表 4 铝杆件线弹性模型参数

Table 4. Model parameters for the linear elasticity of aluminium rod members

$ \rho $/(g·cm⁻³)	杨氏模量/Mbar	泊松比
2.78	0.71	0.33

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表 5 紫铜整形器J-C模型参数

Table 5. Copper shaper JC model parameters

$ \rho $/(g·cm⁻³)	G/Mbar	A/Mbar	B/Mbar	n
8.96	0.46	9×10⁻⁴	2.9×10⁻³	0.31

C	m	T_m/K	T_r/K	—
0.025	1.09	1356	210	—

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表 6 不同应变率下不同网格尺寸仿真结果误差

Table 6. Fig6 Error of simulation results with different mesh sizes for 80/s strain rate

应变率为80 s⁻¹
网格尺寸/mm	最大相对误差/%	整体相对误差/%
1	2.36	1.26
0.75	2.01	0.64
0.5	1.97	0.59
0.25	1.82	0.51

应变率为180 s⁻¹
网格尺寸/mm	最大相对误差/%	整体相对误差/%
1	2.57	1.34
0.75	2.45	0.71
0.5	2.39	0.75
0.25	2.29	0.68

应变率为280 s⁻¹
网格尺寸/mm	最大相对误差/%	整体相对误差/%
1	3.98	3.05
0.75	2.15	1.46
0.5	1.45	0.79
0.25	1.26	0.77

应变率为360 s⁻¹
网格尺寸/mm	最大相对误差/%	整体相对误差/%
1	4.34	3.64
0.75	2.97	1.88
0.5	2.06	1.20
0.25	1.98	1.16

	应变率为440 s⁻¹
网格尺寸/mm	最大相对误差/%	整体相对误差/%
1	4.83	3.71
0.75	2.60	1.92
0.5	1.95	1.24
0.25	1.82	1.20

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