混凝土中爆炸应力波衰减规律的数值模拟研究

高矗; 孔祥振; 方秦; 王银; 杨亚

doi:10.11883/bzycj-2022-0041

混凝土中爆炸应力波衰减规律的数值模拟研究

doi: 10.11883/bzycj-2022-0041

高矗^{1, 2,},
孔祥振^1, ,,
方秦¹,
王银¹,
杨亚¹

1.
陆军工程大学爆炸冲击防灾减灾国家重点实验室，江苏南京 210007
2.
内蒙古财经大学，内蒙古呼和浩特 010070

基金项目: 国家自然科学基金（52178515）

详细信息

作者简介:
高　矗（1988－　），男，博士研究生，讲师，gaochu0617@163.com

通讯作者:
孔祥振（1988－　），男，博士，副教授，ouckxz@163.com

中图分类号: O382
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- 被引次数: 0
出版历程
- 收稿日期: 2022-01-25
- 修回日期: 2022-03-09
- 网络出版日期: 2022-03-29
- 刊出日期: 2022-12-08

Numerical study on attenuation of stress wave in concrete subjected to explosion

GAO Chu^{1, 2
,},
KONG Xiangzhen^{1
, ,},
FANG Qin¹,
WANG Yin¹,
YANG Ya¹

1.
State Key Laboratory of Disaster Prevention & Mitigation of Explosion & Impact, Army Engineering University of PLA, Nanjing 210007, Jiangsu, China
2.
Inner Mongolia University of Finance and Economics, Hohhot 010070, Inner Mongolia, China

摘要

摘要: 基于Kong-Fang混凝土材料模型和LS-DYNA的多物质ALE算法，开展混凝土中爆炸波衰减规律的数值模拟研究。首先，基于已有实验数据对材料模型参数和数值算法的可靠性进行了验证，在此基础上分析球形装药在混凝土自由场中爆炸波衰减规律，利用量纲分析和数值模拟拟合了球形装药在混凝土自由场中近区爆炸波峰值应力计算公式并明确其适用范围；然后，分析装药埋深对混凝土中装药正下方不同距离处爆炸波峰值应力分布的影响，建立了耦合系数与装药埋深和测点距离之间的定量关系。结果表明：Kong-Fang混凝土材料模型可实现对混凝土中爆炸波传播衰减规律的高精度数值模拟；定义混凝土中装药质量系数和耦合常数，可定量描述装药埋深和测点距离对峰值应力耦合系数的影响；建立的混凝土中近区爆炸波峰值应力计算公式可较准确地快速预测不同装药埋深、不同测点距离和不同混凝土强度时爆炸波峰值应力。研究结果可为混凝土结构抗爆设计和爆炸毁伤评估提供参考。
- 峰值应力 /
- Kong-Fang模型 /
- 混凝土 /
- 爆炸波 /
- 装药埋深
Abstract: Based on the Kong-Fang concrete material model and the multi-material arbitrary Lagrangian Eulerian (MMALE) algorithm available in LS-DYNA, the attenuation of stress wave in concrete subjected to explosion was numerically studied. On the basis of comparative analysis of different material models, numerical algorithms and selection of appropriate mesh size, the proposed numerical algorithm and material models along with the corresponding parameters were firstly validated by comparing the numerically simulated spherical charge detonated in a concrete target with the corresponding test data in terms of peak stress and stress-time history. Then the attenuation of stress wave subjected to spherical charge detonated in concrete was numerically investigated, in which the radial and circumferential stress-time histories at different scaled distances were analyzed in detail to reveal the mechanism of stress wave attenuation. The numerical results were fitted to develop an empirical formula for the peak stress of the free-field compression wave in concrete at the close zone with the aid of dimensional analysis. Besides, the applicability of the developed empirical formula was also discussed. The influence of charge buried depth on peak stress in concrete at different distances was also numerically studied to develop a quantitative relationship between charge buried depth, distance and the so-called coupling factor. Numerical results demonstrate that the Kong-Fang concrete material model can be used to simulate the attenuation of explosion stress wave in concrete with good accuracy. The influence of the charge buried depth and the distance from charge the center on the coupling factor of peak stress can be quantified by defining the mass coefficient and coupling constant. The empirical formula for peak stress of compression wave in concrete at the close zone is appropriate for varied charge buried depth, distance and concrete strength. The present numerical results are useful for blast-resistant design and can provide a reliable reference for estimating the damage degree of concrete caused by explosion.
- peak stress /
- Kong-Fang model /
- concrete /
- explosion wave /
- charge buried depth

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图 1 WES5000混凝土的状态方程

Figure 1. Equation of state for WES5000 concrete

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图 2 WES5000混凝土的强度面参数

Figure 2. Failure surface parameters for WES5000 concrete

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图 3 C100混凝土的状态方程^[15]

Figure 3. Equation of state for C100 concrete^[15]

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图 4 C100混凝土的强度面参数

Figure 4. Failure surface parameters for C100 concrete

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图 5 实验示意图^[2]

Figure 5. Schematic diagram of the experiment^[2]

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图 6 实验的有限元模型

Figure 6. The finite element model for the experiment

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图 7 不同网格尺寸的压力曲线

Figure 7. Pressure curves under different mesh sizes

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图 8 爆炸波峰值应力随距离的变化

Figure 8. Variation of explosion wave peak stress with distances

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图 9 不同距离处的应力曲线

Figure 9. Stress curves at different distances

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图 10 比例距离0.06～0.20 m/kg^1/3时的应力曲线

Figure 10. Stress curves at the scaled distances 0.06−0.20 m/kg^1/3

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图 11 WES5000混凝土靶体损伤的数值模拟结果

Figure 11. Simulation results for WES5000 concrete target damage

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图 12 比例距离0.25～0.60 m/kg^1/3时的应力曲线

Figure 12. Stress curves at the scaled distances 0.25−0.60 m/kg^1/3

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图 13 比例距离0.70～1.60 m/kg^1/3时的应力曲线

Figure 13. Stress curves at the scaled distances 0.70−1.60 m/kg^1/3

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图 14 爆炸空腔周围混凝土介质的变形区域

Figure 14. Deformation zones of concrete around the blasting cavity

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图 15 爆炸波峰值应力随距离的变化

Figure 15. Variations of explosion wave peak stress with distance

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图 16 不同埋深时WES5000混凝土的爆炸波峰值应力随距离的变化

Figure 16. Variations of explosion wave peak stress for WES5000 concrete with distance at different burial depths

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图 17 不同埋深时WES5000混凝土峰值应力耦合系数随距离的变化

Figure 17. Variations of peak stress coupling coefficient for WES5000 concrete with distance at different burial depths

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图 18 峰值应力耦合系数随距离的变化规律

Figure 18. Variety rule of peak stress coupling coefficient with distance

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图 19 稳定峰值应力耦合系数随质量系数的变化

Figure 19. Variation of stable peak stress coupling coefficient with mass coefficient

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图 20 WES5000和C100混凝土的峰值应力耦合系数随距离的变化

Figure 20. Variations of peak stress coupling coefficients for WES5000 and C100 concretes with distance

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