混凝土骨料对高速侵彻弹体质量侵蚀的影响分析

欧阳昊; 陈小伟

doi:10.11883/bzycj-2018-0068

混凝土骨料对高速侵彻弹体质量侵蚀的影响分析

doi: 10.11883/bzycj-2018-0068

欧阳昊^1,,
陈小伟^{2, 3, ,}

1.
中国工程物理研究院计算机应用研究所，四川绵阳 621999
2.
北京理工大学前沿交叉科学研究院，北京 100081
3.
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:
欧阳昊（1989－　），男，博士研究生，助理研究员， oyhustc1989@163.com

通讯作者:
陈小伟（1967－　），男，博士，教授，chenxiaoweintu@bit.edu.cn

中图分类号: O385
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- 被引次数: 0
出版历程
- 收稿日期: 2018-03-07
- 修回日期: 2018-05-04
- 网络出版日期: 2019-05-25
- 刊出日期: 2019-07-01

Analysis of mass abrasion of high-speed penetrator influenced by aggregate in concrete target

OUYANG Hao^1
,,
CHEN Xiaowei^{2, 3
, ,}

1.
Institute of Computer Application, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China
2.
Advanced Research Institute for Multidisciplinary Science, Beijing Institute of Technology, Beijing 100081, China
3.
State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China

摘要

摘要: 高速侵彻时，弹靶之间发生强烈的局部作用，引起弹体头部发生质量侵蚀，从而影响弹体的侵彻性能。在弹体侵彻过程中，混凝土中的骨料对弹体的质量侵蚀有显著影响。本文通过对高速侵彻混凝土弹体的质量侵蚀实验数据进行分析，进一步分析讨论了混凝土骨料对弹体质量侵蚀的影响。将混凝土靶体视为骨料和砂浆基质混合的二相复合材料，引入混凝土骨料的体积分数χ和骨料的剪切强度τ₁代替骨料的莫氏硬度H，给出无量纲骨料修正因子β，建立了修正的弹体质量损失工程模型。模型预测结果与现有的实验数据符合得很好，更准确地表征了混凝土骨料对弹体质量损失的影响。
- 高速侵彻 /
- 质量侵蚀 /
- 混凝土骨料 /
- 体积分数 /
- 剪切强度
Abstract: The extreme local interaction between the projectile and target will cause mass erosion of the projectile during high-speed penetrating, and then decreases penetration performance of the penetrator. Aggregates in the concrete target will affect mass loss of the projectile obviously. Analysis about the experimental data is conducted to further discuss the effect of concrete aggregate on mass loss of the residual projectile after high speed penetration into concrete target. By assuming the concrete as a two-phase composite composed of mortar and aggregate and introducing the volume fraction and shear strength of aggregate instead of the aggregate Moh’s hardness, a modified engineering model is presented to predict the mass loss of projectile by giving a dimensionless modified factor β affected by aggregate. The modified model is in good agreement with available experimental data and can better characterize the effect of aggregate on the mass abrasion of penetrator into concrete target.
- high speed penetration /
- mass abrasion /
- aggregate /
- volume fraction /
- shear strength

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图 1 无量纲骨料修正因子β

Figure 1. Dimensionless modified factor β

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图 2 弹体相对质量损失预测结果与实验数据对比（工况1-1）

Figure 2. Predicted relative mass loss of the projectile compared with experimental data (Case 1-1)

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图 3 弹体相对质量损失预测结果与实验数据对比（工况1-2）

Figure 3. Predicted relative mass loss of the projectile compared with experimental data (Case 1-2)

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图 4 弹体相对质量损失预测结果与实验数据对比（工况2-1）

Figure 4. Predicted relative mass loss of the projectile compared with experimental data (Case 2-1)

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图 5 弹体相对质量损失预测结果与实验数据对比（工况2-2）

Figure 5. Predicted relative mass loss of the projectile compared with experimental data (Case 2-2)

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图 6 弹体相对质量损失预测结果与实验数据对比（工况3）

Figure 6. Predicted relative mass loss of the projectile compared with experimental data (Case 3)

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图 7 弹体相对质量损失预测结果与实验数据对比（工况4）

Figure 7. Predicted relative mass loss of the projectile compared with experimental data (Case 4)

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图 8 弹体相对质量损失预测结果与实验数据对比（工况5）

Figure 8. Predicted relative mass loss of the projectile compared with experimental data (Case 5)

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图 9 弹体相对质量损失预测结果与实验数据对比（工况6）

Figure 9. Predicted relative mass loss of the projectile compared with experimental data (Case 6)

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图 10 弹体相对质量损失预测结果与实验数据对比（工况7）

Figure 10. Predicted relative mass loss of the projectile compared with experimental data (Case 7)

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图 11 弹体相对质量损失预测结果与实验数据对比（工况8）

Figure 11. Predicted relative mass loss of the projectile compared with experimental data (Case 8)

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图 12 弹体相对质量损失预测结果与实验数据对比（工况9）

Figure 12. Predicted relative mass loss of the projectile compared with experimental data (Case 9)

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图 13 弹体相对质量损失预测结果与实验数据对比（工况10）

Figure 13. Predicted relative mass loss of the projectile compared with experimental data (Case 10)

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图 14 低速下弹体相对质量损失线性近似解与实验数据对比（工况1-1）

Figure 14. Experimental data and the linear approximate solution at low impact velocity (Case 1-1)

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图 15 低速下弹体相对质量损失线性近似解与实验数据对比（工况1-2）

Figure 15. Experimental data and the linear approximate solution at low impact velocity (Case 1-2)

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图 16 低速下弹体相对质量损失线性近似解与实验数据对比（工况2-1）

Figure 16. Experimental data and the linear approximate solution at low impact velocity (Case 2-1)

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图 17 低速下弹体相对质量损失线性近似解与实验数据对比（工况2-2）

Figure 17. Experimental data and the linear approximate solution at low impact velocity (Case 2-2)

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图 18 低速下弹体相对质量损失线性近似解与实验数据对比（工况3）

Figure 18. Experimental data and the linear approximate solution at low impact velocity (Case 3)

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图 19 低速下弹体相对质量损失线性近似解与实验数据对比（工况4）

Figure 19. Experimental data and the linear approximate solution at low impact velocity (Case 4)

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图 20 低速下弹体相对质量损失线性近似解与实验数据对比（工况5）

Figure 20. Experimental data and the linear approximate solution at low impact velocity (Case 5)

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图 21 低速下弹体相对质量损失线性近似解与实验数据对比（工况6）

Figure 21. Experimental data and the linear approximate solution at low impact velocity (Case 6)

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图 22 低速下弹体相对质量损失线性近似解与实验数据对比（工况7）

Figure 22. Experimental data and the linear approximate solution at low impact velocity (Case 7)

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图 23 低速下弹体相对质量损失线性近似解与实验数据对比（工况8）

Figure 23. Experimental data and the linear approximate solution at low impact velocity (Case 8)

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图 24 低速下弹体相对质量损失线性近似解与实验数据对比（工况9）

Figure 24. Experimental data and the linear approximate solution at low impact velocity (Case 9)

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图 25 低速下弹体相对质量损失线性近似解与实验数据对比（工况10）

Figure 25. Experimental data and the linear approximate solution at low impact velocity (Case 10)

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表 1 实验弹靶参数

Table 1. Parameters of targets and projectiles

工况	f_c/MPa	ρ_t/(kg·m⁻³)	骨料	H	弹体材料	Y_p/MPa	ρ_p/(kg·m⁻³)	m₀/kg	d/mm	L/d	ψ₀
1-1	13.5	2 000	石英石	7	4340 钢	1 481	7 850	0.064	12.9	6.88	3
1-2	13.5	2 000						0.064	12.9	6.88	4.25
2-1	21.6	2 000						0.064	12.9	6.88	3
2-2	21.6	2 000						0.064	12.9	6.88	4.25
3	62.8	2 300						0.478	20.3	10	3
4	51.0	2 300						1.6	30.5	10	10
5	58.4	2 320	石灰石	3	4340 钢/AerMet100	1 481/1 820	7 850	0.478	20.3	10	3
6	58.4	2 320			4340 钢/AerMet100	1 481/1 820		1.62	30.5		3
7	34.8	2 300			60Si2 Mn/Tc4	1 300/1 030		0.155	14		4.25
8	48.6	2 300			60Si2 Mn/20#钢	1 300/450		0.155	14		4.25
9	61.3	2 300			60Si2 Mn/45#钢	1 300/680		0.155	14		4.25
10	76.4	2 300			60Si2 Mn/35CrMnSi	1 300/1 540		0.155	14		4.25

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表 2 无量纲骨料修正因子η和β

Table 2. Dimensionless modified factors η and β

f_c/MPa	骨料类型	η	β	f_c/MPa	骨料类型	η	β	f_c/MPa	骨料类型	η	β
13.5	石英石	1	1.44	62.8	石英石	1	0.71	58.4	石灰石	0.43	0.38
21.6	石英石	1	1.23	34.8	石灰石	0.43	0.57	61.3	石灰石	0.43	0.37
51	石英石	1	0.81	48.6	石灰石	0.43	0.44	76.4	石灰石	0.43	0.31

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表 3 工况1-2的模拟结果与实验对比

Table 3. Comparison of experimental and simulation results at case 1-2

工况1-2弹速/(m·s⁻¹)	345	585	722	900	1 063
He等^[13]模型误差	−33%	−41%	−35%	−27%	−13%
本文模型误差	−5%	−15%	−7%	6%	25%

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表 4 工况10的模拟结果与实验对比

Table 4. Comparison of experimental and simulation results at case 10

工况10弹速/(m·s⁻¹)	847	975	1 124	1 165	1 250	1 315	1 376	1 382
He等^[13]模型误差	46%	23%	21%	102%	88%	49%	98%	57%
本文模型误差	5%	−11%	−12%	45%	35%	7%	42%	13%

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