液压膨胀环恒应变率加载技术

李嘉皓; 徐便; 郑宇轩; 周风华

doi:10.11883/bzycj-2022-0160

液压膨胀环恒应变率加载技术

doi: 10.11883/bzycj-2022-0160

李嘉皓^1,,
徐便¹,
郑宇轩^{1, 2, ,},
周风华¹

1.
宁波大学冲击与安全工程教育部重点实验室，浙江宁波 315211
2.
中国工程物理研究院流体物理研究所冲击波物理与爆轰物理重点实验室，四川绵阳 621999

基金项目: 国家自然科学基金（12272193，11932018）；冲击波物理与爆轰物理重点实验室基金（6142A03191004）

详细信息

作者简介:
李嘉皓（1996－　），男，硕士研究生，948602380@qq.com

通讯作者:
郑宇轩（1986－　），男，博士，副教授，zhengyuxuan@nbu.edu.cn

中图分类号: O347.1
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- 文章访问数: 424
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- 被引次数: 0
出版历程
- 收稿日期: 2022-04-15
- 修回日期: 2022-09-19
- 网络出版日期: 2022-09-20
- 刊出日期: 2023-02-25

Constant strain-rate loading of liquid-driving expanding ring

LI Jiahao^1
,,
XU Bian¹,
ZHENG Yuxuan^{1, 2
, ,},
ZHOU Fenghua¹

1.
MOE Key Laboratory of Impact and Safety Engineering, Ningbo University, Ningbo 315211, Zhejiang, China
2.
National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China

摘要

摘要: 膨胀环实验技术主要包括爆炸膨胀环实验技术和电磁膨胀环实验技术，实验过程中膨胀环的加载应变率在达到峰值后会随着圆环的膨胀而迅速降低，给研究应变率敏感材料的拉伸碎裂带来极大的不便。在前期提出的液压膨胀环实验技术的基础上，发展了一种恒应变率加载技术。首先，从理论上获得了实现金属圆环恒应变率膨胀所需的液压加载曲线的近似表达式；然后，采用有限元流固耦合数值模拟了液压膨胀环装置中1060-O铝环的膨胀碎裂过程，在给定液压加载曲线下，膨胀环的环向应变率在应变率稳定阶段上下波动范围最大不超过20%；并进一步研究了加载曲线对碎裂过程中应变率的影响规律。在液压膨胀环实验装置上对1060-O 铝环开展了膨胀环实验，验证了恒应变率加载技术的可行性。
- 液压膨胀环 /
- 恒应变率 /
- 径向速度 /
- 拉伸碎裂
Abstract: The expanding ring experimental technology mainly refers to the explosion expanding ring and the electromagnetic expanding ring experimental technology. During the experiment, the loading strain rate of the expansion ring decreases rapidly with the expansion of the ring after reached the peak value, which creates great inconvenience to the study of tension fragmentation of strain-rate sensitive solids. In this paper, a constant strain-rate loading technology is developed on the basis of the liquid-driving expanding ring experimental technology. Since it is not possible to apply sudden loading to the expansion ring during the experiment, it is assumed that the strain rate of the expansion ring during the expansion process is divided into linear growth stage and stable stage of the strain rate. By reasonably controlling the loading velocity and loading time of the liquid, an approximate expression of the liquid-driving loading curve required to realize the constant strain-rate expansion of the metal ring is deduced theoretically. The tension fragmentation process of the 1060-O aluminum ring under liquid-driving loading is simulated by the fluid-solid coupling numerical simulation. Under the liquid-driving loading curve, the hoop strain rate of the expanding ring fluctuates within a maximum of 20% in the stable stage of the strain rate. Before occurring of the significant necking of the expansion ring, the circumferential velocity of the expansion ring is basically zero, indicating that the expansion ring is under uniform tensile loading and there is no stress wave propagation in the circumferential direction. When the expansion ring is significantly necked, an obvious sudden change in the circumferential velocity will take place, indicateing that a Mott wave from the fracture site propagates to the corresponding position. The influence of the loading curve on the strain rate during the fracture process is further studied. Then an expanding ring experiment was carried out on the 1060-O aluminum ring on the liquid-driving expanding ring experimental device to verify the feasibility of the constant strain rate loading technology.
- liquid-driving expanding ring /
- constant strain-rate /
- radial velocity /
- tension fragmentation

HTML全文

图 1 液压膨胀环装置原理示意图^[15]

Figure 1. Schematic diagram of the liquid-driving expanding ring^[15]

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图 2 理想恒应变率膨胀时程曲线

Figure 2. Time history curve of strain-rate in ideal expansion

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图 3 液压膨胀环的有限元模型

Figure 3. Finite element model of liquid-driving expanding ring

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图 4 理论计算所得的水流加载曲线

Figure 4. Time history curves of theoretical loading velocities at different strain rates

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图 5 径向膨胀速度曲线

Figure 5. Expanding velocity under hydraulic loading

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图 6 膨胀环的应变率历史曲线

Figure 6. Time history curves of expansion strain rates

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图 7 膨胀环环向速度和径向速度时程曲线（应变率6 000 s⁻¹）

Figure 7. Time history curves of radial velocity and circumferential velocity at the strain rate of 6 000 s⁻¹

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图 8 膨胀环环向应力和径向应力时程曲线（应变率6 000 s⁻¹）

Figure 8. Time history curves of radial stress and circumferential stress at the strain rate of 6 000 s⁻¹

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图 9 改进后的水流加载曲线

Figure 9. Modified curves of loading velocity

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图 10 改进后的应变率曲线

Figure 10. Modified curves of strain rate

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图 11 不同应变率增长阶段下的水流加载曲线

Figure 11. Loading curves in different strain rate growth phase

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图 12 不同应变率增长阶段时间下的应变率时程曲线

Figure 12. Strain rate curves in different strain rate growth phase

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图 13 液压膨胀环实验装置

Figure 13. Experimental device of the liquid-driving expanding ring

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图 14 实验中的水流加载速度曲线

Figure 14. Loading velocity curve in experiment

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图 15 实验中的应变率曲线

Figure 15. Strain rate obtained in experiment

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表 1 1060-O Al的材料参数^[19]

Table 1. Parameters of 1060-O aluminum^[19]

ρ/(kg·m⁻³)		c/(J·kg⁻¹·K⁻¹)		β		θ_t/K		θ_m/K		弹性参数
ρ/(kg·m⁻³)		c/(J·kg⁻¹·K⁻¹)		β		θ_t/K		θ_m/K		E/GPa	µ
2 770		900		0.9		298		1 048		70	0.34

塑性参数						损伤演化参数
A/MPa	B/MPa	C	n	m	${\dot \varepsilon _0}/{{\rm{s}}^{ - 1} }$	d₁	d₂	d₃	d₄	d₅	G_c/(J·m⁻²)
27	43	0.025	0.34	1	1	0.13	0.13	−1.5	0.01	1	5 700

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表 2 加载曲线中的基本物理参数

Table 2. Physical parameters in the loading curve

r₀/mm	h/mm	R/mm	$ {\dot \varepsilon _1} $/s⁻¹	t₁/μs
17.5	1.5	15	4 000～10 000	40

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