弹着点对钢筋混凝土侵彻深度的影响

黄成龙; 陈叶青; 李述涛; 张生; 王振清

doi:10.21656/1000-0887.440016

弹着点对钢筋混凝土侵彻深度的影响

doi: 10.21656/1000-0887.440016

黄成龙^{1, 2,},
陈叶青^{1, 2},
李述涛²,
张生^{1, 2},
王振清^1, ,

1.
哈尔滨工程大学航天与建筑工程学院，哈尔滨 150001
2.
军事科学院国防工程研究院，北京 100036

基金项目:

国家自然科学基金项目 11532013

国家自然科学基金项目 11872157

详细信息

作者简介:
黄成龙(1997—)，男，博士生(E-mail: huangchenglong@hrbeu.edu.cn)

通讯作者:
王振清(1962—)，男，教授，博士，博士生导师(通讯作者. E-mail: wangzhenqing@hrbeu.edu.cn)

(我刊编委王振清来稿)
中图分类号: O385
计量
- 文章访问数: 278
- HTML全文浏览量: 77
- PDF下载量: 48
- 被引次数: 0
出版历程
- 收稿日期: 2023-01-18
- 修回日期: 2023-07-05
- 刊出日期: 2023-09-01

Influences of Impact Points on the Penetration Depth of Reinforced Concrete

HUANG Chenglong^{1, 2
,},
CHEN Yeqing^{1, 2},
LI Shutao²,
ZHANG Sheng^{1, 2},
WANG Zhenqing^{1
, ,}

1.
College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, P.R.China
2.
Institute of Defense Engineering, Academy of Military Sciences, Beijing 100036, P.R.China

(Contributed by WANG Zhenqing, M. AMM Editorial Board)

摘要

摘要: 在弹体侵彻钢筋混凝土研究领域，侵彻深度的离散性普遍存在于试验和经验公式中，弹着点位置的不同是造成此离散性的主要原因之一. 为探究由弹着点位置造成的侵彻深度离散性并揭示其机理，参照公开发表的侵彻试验，建立了三种典型弹着点位置的有限元模型，对比分析出了三种典型弹着点位置侵彻过程差异的主要原因，依据数值计算结果归纳了表征侵彻深度离散性的表达式，提出了弹体侵彻钢筋混凝土侵彻深度是一个范围值的基本思想，并对表达式进行了初步验证. 结果表明，造成侵彻深度离散性的主要因素是弹体撞击钢筋的数目和弹体接触钢筋的持续时间，此离散性随着弹径与钢筋网眼尺寸比值的增大而减小.
- 弹着点 /
- 弹体侵彻 /
- 钢筋混凝土 /
- 侵彻深度
Abstract: In the research field of projectile penetration into reinforced concrete, the penetration depth discreteness generally exists in experiments and empirical formulas, and the difference of impact positions is one of the main reasons for this discreteness. To explore the penetration depth discreteness caused by the impact position difference and reveal its mechanism, the finite element models of 3 typical impact positions were established with reference to a published penetration test. The main reasons for the differences in the penetration processes of 3 typical impact positions were compared and analyzed. Based on the numerical calculation results, the expression characterizing the discreteness of penetration depth was summarized. The results show that, the penetration depth of the projectile impacting reinforced concrete is a range value. The expression was preliminarily verified. The main factors causing the penetration depth discreteness are the number of rebars hit by the projectile and the duration of contact with steel bars. This discreteness decreases with the ratio of the projectile diameter to the mesh size of rebars.
- impact point /
- projectile penetration /
- reinforced concrete /
- penetration depth
(Contributed by WANG Zhenqing, M. AMM Editorial Board)
注释:

1) (我刊编委王振清来稿)

HTML全文

图 1 全尺寸模型(单位：mm)

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 1. The full-size model(unit: mm)

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图 2 弹塑性硬化模型应力-应变图

Figure 2. The stress-strain relationship of the elastoplastic hardening model

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图 3 靶体损伤情况对比

Figure 3. Comparison of target damages

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图 4 数值模拟侵彻深度时程图

Figure 4. The penetration depth time history of the numerical simulation

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图 5 全区域精细化网格靶体(单位: mm)

Figure 5. The target model with global fine grids(unit: mm)

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图 6 三种典型弹着点位置示意图

Figure 6. Schematic diagram of 3 typical impact point positions

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图 7 三种典型弹着点位置时程图对比

Figure 7. Time history comparison of 3 typical impact point positions

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图 8 3.1 ms前弹体加速度时程图

Figure 8. Projectile acceleration time histories before 3.1 ms

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图 9 钢筋交叉点情况下侵彻过程模拟图

Figure 9. Simulation diagrams of the penetration process at the rebar crossing point

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图 10 钢筋网眼中点情况下侵彻过程模拟图

Figure 10. Simulation diagrams of the penetration process at the rebar grid midpoint

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图 11 钢筋侧边中点情况下侵彻过程模拟图

Figure 11. Simulation diagrams of the penetration process at the rebar side midpoint

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图 12 侵彻深度与d/D的关系

Figure 12. Relationships between the penetration depth and d/D

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图 13 无量纲表达式拟合曲线

Figure 13. The fitting curve of the dimensionless expression

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图 14 归一化侵彻深度与d/D的关系

Figure 14. Relationships between the normalized

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图 15 归一化侵彻深度关于d/D的拟合曲线

Figure 15. Fitting curves of the normalized penetration penetration depth and d/D depth with respect to d/D

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表 1 弹体及钢筋材料模型参数

Table 1. Material model parameters of the projectile and the reinforcement

material name	ρ/(kg·m^-3)	E/Pa	μ	σ₀/Pa	E_t/Pa	β	C/ s^-1	P	failure strain ε_F
projectile	7.91×10³	2.1×10¹¹	0.30	-	-	-	-	-	-
reinforcement	7.80×10³	2.0×10¹¹	0.29	3.45×10⁸	2×10⁹	0			0.8

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表 2 混凝土材料模型参数

Table 2. Material model parameters of concrete

material name	ρ/(kg·m^-3)	μ	F_t/Pa	A₀/Pa	α	β
concrete	2.44×10³	0.2	4×10⁶	-4.8×10⁷	39.37	1.45×10^-4

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表 3 侵彻深度计算结果

Table 3. Calculation results of the penetration depth

impact point position	rebar grid midpoint	rebar crossing point	rebar side midpoint
h/mm	1 113	1 149	1 117

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表 4 各工况数值计算结果

Table 4. Numerical calculation results of each working condition

d/mm	D/mm	d/D	μ/%	h/mm
d/mm	D/mm	d/D	μ/%	rebar grid midpoint	rebar crossing point	average value	difference value
156	200	0.78	0.36	1 490	1 230	1 360	260
156	150	1.04	0.48	1 250	1 160	1 205	90
156	100	1.56	0.71	1 113	1 149	1 131	-36
156	80	1.95	0.83	978	1 030	1 004	-52
156	70	2.23	0.94	963	952	957.5	11
156	60	2.60	1.12	934	907	920.5	27
156	50	3.12	1.35	869	874	871.5	-5
156	40	3.90	1.69	843	863	853	-20
156	34	4.59	1.98	815	799	807	16
156	30	5.20	2.21	763	749	756	14

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表 5 数值模拟和表达式的计算结果

Table 5. Calculation results of the numerical simulation and the expression

D/mm	d/D	h_M/mm		error δ_M/%	h_C/mm		error δ_C/%
D/mm	d/D	simulation	expression	error δ_M/%	simulation	expression	error δ_C/%
172	0.91	1 291	1 363	5.58	1 199	1 201	0.17
90	1.73	1 018	1 031	1.28	1 081	1 084	0.28
44	3.55	865	847	2.08	866	859	0.81

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