水泥砂浆抗弹性能研究

苗春贺; 陈丽娜; 单俊芳; 王鹏飞; 徐松林

doi:10.11858/gywlxb.20200609

水泥砂浆抗弹性能研究

doi: 10.11858/gywlxb.20200609

苗春贺^1,,
陈丽娜¹,
单俊芳¹,
王鹏飞¹,
徐松林^{1, 2,*, ,}

1.
中国科学技术大学，中国科学院材料力学行为和设计重点实验室，安徽合肥　230027
2.
中国地震局地震预测研究所高压物理与地震科技联合实验室，北京　100036

基金项目: 高压物理与地震科技联合实验室开放基金（2019HPPES01）；国家自然科学基金（11672286，11602267）；中石油-中科院战略合作重大项目（2015A-4812）

详细信息

作者简介:
苗春贺（1994－），男，博士研究生，主要从事冲击作用下脆性材料的损伤与破碎研究. E-mail：mch@mail.ustc.edu.cn

通讯作者:
徐松林（1971－），男，博士，研究员，博士生导师，主要从事材料在冲击下的动态响应研究.E-mail：slxu99@ustc.edu.cn

中图分类号: O347; O385
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出版历程
- 收稿日期: 2020-09-01
- 修回日期: 2020-09-23
- 发布日期: 2021-03-25

Research on the Ballistic Performance of Cement Mortar

1.
CAS Key Laboratory for Mechanical Behavior and Design of Materials, University of Science and Technology of China, Hefei 230027, Anhui, China
2.
United Laboratory of High-Pressure Physics and Earthquake Science, CEA Key Laboratory of Earthquake Prediction (Institute of Earthquake Science), China Earthquake Administration, Beijing 100036, China

摘要

摘要: 对于水泥砂浆的抗弹性能研究，目前很少考虑靶体所处的应力状态，为此基于自研的真三轴静载混凝土侵彻实验装置和水泥砂浆抗弹性能实验结果，讨论了水泥砂浆在不同应力状态下的开坑深度和开坑阻力。应用侵彻深度的经验公式和基于HJC模型的有限元数值计算方法，对比分析了水泥砂浆侵彻实验，结果表明，对于低速冲击过程，采用UMIST公式和HJC模型的数值分析对开坑深度的预测较为有效。应力状态对开坑深度有明显的影响，即随着侧限增加，水泥砂浆的三轴强度提高，弹丸的开坑深度减小。应用基于HJC模型的数值分析方法，研究了弹丸开坑过程中弹体内的加速度波形和y轴支撑杆上的波形，结果表明：弹丸开坑过程对两种波形都有影响，其中y轴支撑杆上的波形可以更好地反映开坑过程。虽然数值模拟结果与实验波形的趋势基本一致，但是应力幅值有一定的差异，说明基于HJC模型的数值分析对开坑阻力的计算能力尚待提高。
- 抗弹性能 /
- 开坑深度 /
- 开坑阻力 /
- 水泥砂浆 /
- 真三轴应力状态
Abstract: The stress state of the target was seldom taken into account in the investigation of the ballistic performance of cement mortar. Based on the self-developed penetration experimental system of concrete under true-triaxial confinement and the experimental results of the anti-bullet performance of cement mortar, the depth and resistance of opening pit under different stress states were discussed in the present paper. The empirical formula of penetration depth and finite element method (FEM) based on HJC model were used to analyze the penetration behaviors of cement mortar results. The results showed that under the lower velocity impact, the UMIST formula and the HJC model were both effective in the prediction of pit depth. At the same time, the stress state had an obvious influence on pit depth. With the increase of the lateral limit, the cement mortar strength increases and the pit depth of the projectile decreases. The acceleration wave in bullet and the wave in the y-axis support rod were calculated by FEM based on HJC model. The results showed that the process of projectile opening pit would be recorded by these two waveforms, and the wave structure in the y-axis support rod would be more significantly. Although the tendency of the simulation results was basically consistent with the experimental waves, there was difference in the stress amplitude to some degree, which also indicated that the calculation method of the pit opening resistance based on HJC model needed to be improved.
- ballistic performance /
- pit depth /
- pit resistance /
- cement mortar /
- true-triaxial stress state

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图 1 真三轴静载混凝土侵彻实验装置

Figure 1. Experimental device of concrete specimen under true tri-axial confinement

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图 2 有限元计算模型

Figure 2. Finite element model

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图 3 不同侧限状态下的开坑深度

Figure 3. Pit depths under different lateral confinements

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图 4 不同侧限状态下开坑深度的拟合^[15]

Figure 4. Fitting results of pit depth under different lateral confinement^[15]

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图 5 开坑深度的进一步拟合

Figure 5. Further fitting of pit depth

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图 6 弹体侵彻过程中弹丸中的波形^[25-26]

Figure 6. Recorded wave in the bullet during the penetration^[25-26]

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图 7 模拟弹体侵彻过程中穿过试件的波形

Figure 7. Simulated wave profiles across specimen during penetration

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图 8 弹体侵彻过程中穿过试件的波形^[15]

Figure 8. Wave profiles across specimen during penetration^[15]

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图 9 弹丸加速度时程曲线

Figure 9. Acceleration wave profiles in bullet

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图 10 应力状态对波形的影响

Figure 10. Influence of stress state on waveform

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表 1 水泥砂浆的HJC本构模型参数

Table 1. Parameters of HJC model for cement mortar

${\;\rho {_0} }$/(kg·m⁻³)	$G$/GPa	A_HJC/GPa	B_HJC/GPa	C_HJC	N_HJC	$f{'} $/MPa
1844	1.32	0.66	1.335	0.0018	0.845	14.4

T/MPa	${\dot \varepsilon{_0} }$/s⁻¹	$\varepsilon $_f,min	S_max	${p{\rm{_c}} }$/MPa	${\;\mu {\rm{_c}} }$	${p{\rm{_l} } }$/GPa
2.0	1	0.01	80.24	13.8	0.0075	1.096

${\;\mu {\rm{_l} } }$	k₁/GPa	k₂/GPa	k₃/GPa	D₁	D₂
0.15	85	−171	208	0.006629	1.0

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表 2 弹丸JC本构模型参数

Table 2. Parameters of JC model of projectile

${\rho{_0} }$/(kg·m⁻³)	G/GPa	T₀/K	c/(J·kg⁻¹·K⁻¹)	A_JC/MPa	B_JC/MPa	n_JC
7830	77	293	477	792	510	0.26

C_JC	T_m/K	d₁	d₂	d₃	d₄	d₅
0.014	1793	0.05	3.44	−2.12	0.002	0.61

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表 3 无量纲侵彻深度公式参数

Table 3. Formula parameters of dimensionless penetration depth

Stress state	k₀	m₁	m₂	m₃
No confinement	0.90	0.70	1.21	0.60
Unilateral confinement	1.02	0.55	1.25	0.65
Bilateral confinement	1.05	0.40	1.30	0.68

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