错位多次打击下UHPC靶体损伤破坏效应的数值模拟研究

宗香华; 王银; 孔祥振; 姜雅婷; 孙留洋; 袁俊成; 杨涛春

doi:10.11858/gywlxb.20230834

错位多次打击下UHPC靶体损伤破坏效应的数值模拟研究

doi: 10.11858/gywlxb.20230834

1.
济南大学土木建筑学院, 山东济南　250022
2.
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
3.
同圆设计集团股份有限公司, 山东济南　250101

基金项目: 国家自然科学基金（52178515）；爆炸冲击防灾减灾国家重点实验室基金（FYKY-2022-01-33）

详细信息

作者简介:
宗香华（2004－），女，本科，主要从事混凝土类材料静动态力学性能研究. E-mail：15335415064@163.com

通讯作者:
王　银（1991－），男，博士，讲师，主要从事固体材料冲击爆炸毁伤机理研究.E-mail：wangyin1107@163.com

中图分类号: O385
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出版历程
- 收稿日期: 2023-12-25
- 修回日期: 2024-01-20
- 录用日期: 2024-03-01
- 网络出版日期: 2024-05-27
- 刊出日期: 2024-06-03

Numerical Investigation on Damage and Failure of UHPC Targets Subjected to Dislocation Multi-Attacks

1.
School of Civil Engineering and Architecture, University of Jinan, Jinan 250022, Shandong, China
2.
State Key Laboratory of Disaster Prevention & Mitigation of Explosion & Impact, Army Engineering University of PLA, Nanjing 210007, Jiangsu, China
3.
Tongyuan Design Group Co., Ltd., Jinan 250101, Shandong, China

摘要

摘要: 基于LS-DYNA三维数值建模方法和修正的Kong-Fang混凝土材料模型，考虑多次打击时弹着点的二维正态分布规律，开展了某弹体错位多次打击下超高性能混凝土靶损伤破坏效应的数值模拟研究。首先对已有弹体先侵彻后爆炸一次打击试验进行了数值模拟，验证了数值建模方法和材料模型参数选取的准确性。在此基础上，开展了10组（圆概率误差（circular error probable，CEP）为3 m时5组，CEP为1 m时5组，每组随机生成3个弹着点）错位多次打击工况的数值计算，探讨了CEP和打击次数对靶体损伤破坏与侵彻深度的影响。数值模拟结果表明：第1枚弹体侵彻后的后续计算过程中，损伤演化均沿第1枚弹体侵彻后的材料损伤区域继续发展，随着打击次数增加，侵彻深度逐渐增加；当多次打击过程的CEP相同时，考虑爆炸工况时计算的侵彻深度比不考虑爆炸工况时大；CEP越小，相对侵彻深度越大，当CEP为1 m时，相对侵彻深度约为1.7，当CEP为3 m时，相对侵彻深度约为1.2。研究结果表明，在多次打击下，现有防护设计规范中遮弹层厚度的设计方法偏危险。
- 错位多次打击 /
- 超高性能混凝土 /
- 损伤 /
- 相对侵彻深度
Abstract: Based on the LS-DYNA three-dimensional numerical modeling method and the modified Kong-Fang concrete material model, the numerical investigation on damage and failure of ultra-high performance concrete (UHPC) targets subjected to dislocation multi-attacks was carried considering the two-dimensional normal distribution of strike points. The numerical model and material models along with the corresponding parameters were firstly validated by comparing the numerical simulation results of the UHPC targets subjected to projectile penetration followed by explosion to the corresponding test data. Then numerical simulation of the damage and failure in UHPC targets under the multi-attacks by a typical warhead were conducted with 10 groups different circular error probable (CEP) to discuss the effects of the CEP and strike times on the damage and penetration depth. The numerical results demonstrate that the damage evolution caused by the subsequent projectile penetration and explosion continues to develop along the damage area caused by the first projectile penetration. The penetration depth gradually increases as the number of strike increases. The penetration depth calculated with explosion is larger than that calculated without explosion when the CEP is same during multi-attacks. When CEP is equal to 3 m and 1 m, the relative penetration depth is about 1.2 and 1.7, respectively. In other words, the relative penetration depth increased with decreasing of the CEP. The research conclusion shows that the design method of shielding layer thickness in the existing protective design code is dangerous subjected to multi-attacks.
- dislocation multi-attacks /
- ultra-high performance concrete (UHPC) /
- damage /
- relative penetration depth

HTML全文

图 1 多次打击过程中的关键问题示意图

Figure 1. Schematic diagram of major problems in multi-attacks process

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图 2 原位多次打击数值预测结果^[18]

Figure 2. Numerical prediction result of multi-attacks in situ^[18]

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图 3 弹体尺寸^[24]（单位：mm）

Figure 3. Projectile dimension^[24] (Unit: mm)

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图 4 不同CEP下的弹着点分布

Figure 4. Distribution of impact points under different CEP

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图 5 错位多次打击次序示意图

Figure 5. Schematic diagram of the dislocation multi-attacks sequence

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图 6 错位多次打击数值建模

Figure 6. Numerical modeling of the dislocation multi-attacks

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图 7 错位多次打击下的相对侵彻深度

Figure 7. Relative penetration depth of dislocation multi-attacks

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表 1 先侵彻后爆炸数值模型与预测结果

Table 1. Numerical modeling and prediction results of the penetration followed by explosion

Simulation	Penetration	Blast
Numerical modeling
Numerical prediction

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表 2 UHPC材料模型参数

Table 2. UHPC material model parameters

f_c/MPa	ρ/(kg·m⁻³)	E/GPa	K/GPa	G/GPa	μ
137	2 500	55.4	30.8	23.1	0.2

T/MPa	a₁	a₂	a₃	a_1y	a_2y
6.0	0.585 7	0.025/f_c	0.5	0.908 8	0.075/f_c

N	b₁	b₂	b₃	λ_m	EOS
1.0	1.6	1.0	1.0	8.7×10⁻⁵	Ref. [23–25]

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表 3 CEP为3 m时错位多次打击下靶体整体损伤破坏演化过程

Table 3. Damage and failure evolution process of the target under dislocation multi-attacks at CEP of 3 m

Time/ms	Case 1	Case 2	Case 3	Case 4	Case 5
12
14
26
28
40
42

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表 4 CEP为3 m时错位多次打击下靶体沿弹着点截面的损伤破坏演化过程

Table 4. Damage and failure evolution process of the target along the cross section of impact point under dislocation multi-attacks at CEP of 3 m

Time/ms	Case 1	Case 2	Case 3	Case 4	Case 5
12
14
26
28
40
42

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表 5 CEP为3 m时错位多次打击过程中弹体变形与偏转

Table 5. Projectile deformation and deflection under dislocation multi-attacks at CEP of 3 m

Time/ms	Case 1	Case 2	Case 3	Case 4	Case 5
12
12
26
26
40
40

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