基于细观混凝土模型的刚性弹体正侵彻弹道偏转分析

邓勇军; 陈小伟; 姚勇; 杨涛

doi:10.11883/1001-1455(2017)03-0377-10

基于细观混凝土模型的刚性弹体正侵彻弹道偏转分析

doi: 10.11883/1001-1455(2017)03-0377-10

邓勇军^{1, 2},
陈小伟^{1, 2, ,},
姚勇¹,
杨涛¹

1.
西南科技大学土木工程与建筑学院，四川绵阳 621000
2.
中国工程物理研究院总体工程研究所，四川绵阳 621999

基金项目:

国家自然科学基金项目 11225213

国家自然科学基金项目 11390361

国家自然科学基金项目 11390362

详细信息

作者简介:
邓勇军(1987—), 男, 博士研究生, 助理研究员

通讯作者:
陈小伟, chenxiaoweintu@yahoo.com

中图分类号: O382
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- 被引次数: 0
出版历程
- 收稿日期: 2015-10-09
- 修回日期: 2016-03-27
- 刊出日期: 2017-05-25

On ballistic trajectory of rigid projectile normal penetration based on a meso-scopic concrete model

Deng Yongjun^{1, 2},
Chen Xiaowei^{1, 2
, ,},
Yao Yong¹,
Yang Tao¹

1.
School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621000, Sichuan, China
2.
Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China

摘要

摘要: 为研究混凝土细观因素对刚性弹正侵彻弹道偏转的影响，基于骨料随机投放的思路建立混凝土三维细观几何模型，分析刚性弹正侵彻过程中发生弹道偏转的原因及可能影响因素，定量讨论混凝土细观因素对弹道偏转的影响。结果表明：混凝土细观数值模型可以较好地反映弹体正侵彻过程中弹道偏转等典型物理现象，且细观参数对于弹体弹道偏转有显著影响。刚性弹正侵彻细观混凝土时，存在一个弹体直径/骨料最大粒径比的特征比值。
- 混凝土 /
- 细观建模 /
- 刚性弹 /
- 正侵彻 /
- 弹道偏转
Abstract: To study the effect of the concrete's mesoscopic factors on the deflection of the rigid projectile's ballistic trajectory, we established a 3-D mesoscopic model for the concrete based on the idea of randomly distributed aggregates, analyzed the causes and possible contributing factors of the ballistic trajectory deflection of the rigid projectile penetrating into a concrete target, and examined quantitatively the influence of the mesoscopic factors of the concrete. The results show that the mesoscopic concrete model is able to reflect the typical physical phenomena of a projectile's normal penetration, that the mesoscopic factors have significant effect on the deflection of the ballistic trajectory as the rigid projectile is penetrating into the mesoscopic concrete, and that there exists a characteristic ratio of the projectile's diameter to the largest possible diameter of the aggregate.
- concrete /
- meso-scopic model /
- rigid projectile /
- normal penetration /
- ballistic trajectory deflexion

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图 1 细观模型建立流程图

Figure 1. Flow diagram of meso-scopic modeling

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图 2 骨料投放示意图

Figure 2. Schematic diagram of aggregate distribution

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图 3 细观模型各组成部分有限元剖分

Figure 3. Each component's FEM of meso-scopic model

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图 4 靶板迎弹面破坏模式

Figure 4. Failure mode of the target on the impact side

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图 5 弹体尺寸

Figure 5. Projectile geometry

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图 6 混凝土靶板尺寸

Figure 6. Concrete target geometry

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图 7 不同尺寸的有限元模型弹道图

Figure 7. Ballistc trajectories of finite element models with different dimensions

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图 8 均匀模型混凝土靶的侵彻过程

Figure 8. Penetration process of uniform concrete models

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图 9 细观建模的混凝土靶的侵彻过程

Figure 9. Penetration process of mesoscopic concrete models

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图 10 侵彻过程中刚性弹运动示意

Figure 10. Motion of a rigid projectile during penetration

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图 11 弹体偏转角的定义

Figure 11. Definition of the deflexion angle of a rigid projectile

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图 12 弹体侵彻过程中各参数随时间的变化曲线

Figure 12. Motion parameter-time curves of the projectile during penetration

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图 13 靶体尺寸及侵彻位置示意图

Figure 13. Target dimension and penetration location

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图 14 骨料随机分布对弹体偏转的影响

Figure 14. Projectile deflection affected by aggregate random distribution

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图 15 骨料强度对弹体偏转的影响

Figure 15. Projectile deflection affected by aggregate strength

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图 16 砂浆强度对弹体偏转的影响

Figure 16. Projectile deflection affected by motar strength

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图 17 不同入射速度下，不同γ值时，弹体偏转角度的时程曲线

Figure 17. Deflection angle-time curves of the projectiles at different γ values and different impact velocities

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表 1 不同级配骨料粒径分布

Table 1. Distribution of aggregates with different gradations

骨料粒径/mm	骨料类型	骨料级配	V_s:V_m:V_b:V_h
5~20	Small Stone	1st gradation	1:0:0:0
20~40	Medium stone	2nd gradation	5.5:4.5:0:0
40~80	Big stone	3rd gradation	3:3:4:0
80~150	Huge stone	4th gradation	2:2:3:3

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表 2 弹体及混凝土材料参数

Table 2. Material parameters of projectile and concrete

材料类型	ρ/(kg·m^-3)	E/GPa	μ_c	σ_t/MPa	σ_c/MPa
Aggregate	2 660		0.16	10	160
Motar	2 280		0.22	4	15
ITZ	2 000		0.16	2	10
Concrete	2 440		0.2	5	48
Projectile	8 020	210	0.3

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表 3 剩余速度对比

Table 3. Contrast of residual velocities

v₀/(m·s^-1)	v_r/(m·s^-1)
v₀/(m·s^-1)	实验	模拟
360	67	73
381	136	157
434	214	237
606	449	470
749	615	633
1 058	947	963

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