玻璃球宏细观冲击特性的SHPB试验和耦合数值模拟研究

吕亚茹; 吴琳; 王媛; 张冬冬; 黄文雄; 苏宇宸

doi:10.6052/j.issn.1000-4750.2021.11.0857

玻璃球宏细观冲击特性的SHPB试验和耦合数值模拟研究

doi: 10.6052/j.issn.1000-4750.2021.11.0857

吕亚茹^1,,
吴琳^1,,
王媛^2,,
张冬冬^3,,
黄文雄^1,,
苏宇宸^1, ,

1.
河海大学力学与材料学院，江苏，南京 211100
2.
河海大学水利水电学院，江苏，南京 210098
3.
陆军工程大学野战工程学院，江苏，南京 210007

基金项目: 国家自然科学基金项目(51779264，11772117)；中央高校科研业务费项目(B200202119)

详细信息

作者简介:
吕亚茹(1987−)，女，河南人，教授，博士，主要从事岩土冲击力学特性方面的科学研究(E-mail: yaru419828@163.com)

吴　琳(1997−)，男，江苏人，硕士生，主要从事砂土冲击特性方面的研究(E-mail: wulin318@hhu.edu.cn)

王　媛(1969−)，女，江苏人，教授，博士，主要从事渗流研究(E-mail: wangyuan@hhu.edu.cn)

张冬冬(1986−)，男，山西人，副教授，博士，主要从事结构力学特性研究(E-mail: zhangdodo_163@163.com)

黄文雄(1961−)，男，江苏人，教授，博士，主要从事土体本构模拟与工程应用等方面的研究(E-mail: wh670@hhu.edu.cn)

通讯作者:
苏宇宸(1991−)，男，江苏人，讲师，博士，主要从事滚石灾害防控方面的研究(E-mail: 20190051@hhu.edu.cn)

中图分类号: O347.3
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- 文章访问数: 141
- HTML全文浏览量: 46
- PDF下载量: 36
- 被引次数: 0
出版历程
- 收稿日期: 2021-11-04
- 修回日期: 2022-05-08
- 网络出版日期: 2022-09-22
- 刊出日期: 2023-06-25

MACRO AND MICRO QUANTITATIVE STUDY ON IMPACT BEHAVIOR OF GLASS BEADSBY SHPB TESTS AND FEM-DEM COUPLING ANALYSIS

LYU Ya-ru^1
,,
WU Lin^1
,,
WANG Yuan^2
,,
ZHANG Dong-dong^3
,,
HUANG Wen-xiong^1
,,
SU Yu-chen^{1
, ,}

1.
College of Mechanics and Materials, Hohai University, Nanjing, Jiangsu 211100, China
2.
College of Water Conservancy & Hydropower Engineering, Hohai University, Nanjing, Jiangsu 210098, China
3.
College of Field Engineering, Army Engineering University of PLA, Nanjing, Jiangsu 210007, China

摘要

摘要: 为研究玻璃球的宏细观冲击特性，该文开展了不同相对密实度玻璃球的一维霍普金森杆(SHPB)冲击试验和离散元-有限差分法耦合数值模拟研究。结果表明：一维冲击荷载下玻璃球经历初始弹性、屈服、颗粒间互锁硬化和颗粒破碎硬化四个阶段。基于耦合数值模拟发现，颗粒平均配位数随着冲击荷载时程不断增加，但增加的速率逐渐下降，其原因是配位数变化取决于孔隙压缩和以旋转为主的颗粒重排，随着试样压缩变形的发展，孔隙压缩和颗粒重排需要克服更大的颗粒间互锁效应，因此逐渐变缓。而试样孔隙率在弹性阶段基本不变，在屈服阶段和互锁硬化阶段近似线性下降，其原因是孔隙率变化受控于颗粒整体移动，弹性阶段颗粒整体移动尚未发展，屈服之后颗粒整体移动产生的孔隙压缩随荷载时程呈线性发展。冲击荷载下，颗粒位移以整体移动为主，相对位移为辅，因此，颗粒位移对试样的初始密实度不敏感。颗粒旋转需要克服周围颗粒的互锁效应，互锁效应取决于试样级配和颗粒粒径，对密实度较敏感。
- 冲击特性 /
- 玻璃球 /
- 霍普金森杆(SHPB)冲击试验 /
- 离散元-有限元耦合数值模拟 /
- 相对密实度 /
- 平均配位数
Abstract: In order to study the macro and micro impact behavior of glass beads, one-dimensional SHPB impact tests on glass balls with different relative densities were carried out. The coupled numerical model of SHPB impact test was established by discrete element and finite difference methods. The experimental and numerical results indicate that the glass ball experiences four specific phases under one-dimensional load, i.e., initial elastic response, yielding, lock-up and particle crushing. The average coordination of particles increases with the applied impact load but the increasing rate decreases gradually. This is because the coordination number is determined by both pore compression and particle redistribution which is caused by particle rotation and relative movement. Particle rotation and relative movement become more than more difficult with the compression of granular sample. The porosity of sample remains almost constant in initial elastic response, but decreases approximately linearly in the yielding and lock-up phases (grain redistribution). This is because the porosity is mainly determined by the bulk movement of particles, which causes compression in pores. The bulk movement of particles has not been developed at the initial loading, but after yielding the pore compression caused by the bulk movement of the particles develops linearly with the load history. The particle displacement is dominated by bulk movement; thus it is not sensitive to initial density. The particle rotation and relative movement need to overcome the lock-up effects which are closely related to the particle size distribution, thus they are very sensitive to the relative density.
- impact characteristics /
- glass beads /
- SHPB impact test /
- FEM-DEM coupling analysis /
- relative density /
- average coordination number

HTML全文

图 1 SHPB试验装置

Figure 1. Equipment of split Hopkinson pressure bar

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图 2 玻璃球试样及粒径分布

Figure 2. Sample of glass ball and grain size distribution for samples

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图 3 孔隙率随摩擦系数的变化

Figure 3. Relationship between porosity and friction coefficient

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图 4 离散元-有限元耦合SHPB数值模型

Figure 4. DEM-FEM coupling model of SHPB test

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图 5 试验与数值模型的典型波形曲线

Figure 5. Typical measured and computed pulses

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图 6 试验与数值计算的应力平衡

Figure 6. Measured and computed stress equilibrium

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图 7 试验和计算应变率及应变时程

Figure 7. Strain rate and strain histories of measured and computed results

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图 8 试验和计算轴向应力-应变曲线

Figure 8. Axial stress-strain of measured and computed results

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图 9 SHPB试验前后颗粒级配曲线

Figure 9. Measured grain size distribution prior to and after SHPB tests

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图 10 冲击过程中平均配位数与孔隙率时程曲线

Figure 10. Variation of average coordinate number and porosity during impact process

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图 11 相对平均配位数与相对孔隙率变化

Figure 11. Variation of relative average coordinate number and relative porosity

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图 12 平均瞬时和累积位移时程

Figure 12. History of average instantaneous and cumulative displacement

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图 13 试样的瞬时旋转角和总旋转角

Figure 13. Instantaneous rotation and total rotation of the sample

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图 14 不同粒径颗粒的总位移和总旋转角

Figure 14. Cumulative displacement and total rotation of the sample

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表 1 玻璃球试样参数特性

Table 1. Properties of glass ball

参数	土粒比重G_s	中值粒径D₅₀/mm	不均匀系数C_u	曲率系数C_c	最大孔隙比e_max	最小孔隙比e_min
试验	2.47	1.71	2.38	1.05	0.7	0.497
数值	2.47	1.71	2.38	1.05	0.658	0.453

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表 2 数值模型特性参数

Table 2. Mesoscopic parameters of numerical model

接触	参数	数值
颗粒间	法向刚度K_n/(N·m⁻¹)	1.0×10⁶
	切向刚度K_s/(N·m⁻¹)	4.0×10⁵
	摩擦系数μ_f	0.8
颗粒与墙体间	法向刚度K_n/(N·m⁻¹)	1.0×10⁷
	切向刚度K_s/(N·m⁻¹)	4.0×10⁶
	摩擦系数μ_f	0.8
接触阻尼	法向临界阻尼比η_n	0.5
接触阻尼	切向临界阻尼比η_s	0.5

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表 3 不同密实度试样对应的孔隙率和摩擦系数

Table 3. Porosity and friction coefficient of samples with different relative density

密实度/(%)	试样所需理论孔隙率	设定摩擦系数	实际生成试样孔隙率
30	0.374	0.40	0.376
60	0.349	0.16	0.356
90	0.322	0.03	0.328

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表 4 SHPB数值试验模型参数

Table 4. Model parameters of SHPB numerical simulation

模型	参数	数值
压杆(zone)	弹性模量/GPa	72
	泊松比	0.32
	密度/(kg·m⁻³)	2700
颗粒	法向刚度K_n/(N·m⁻¹)	4.0×10⁶
	切向刚度K_s/(N·m⁻¹)	2.0×10⁶
	切向刚度μ_f	0.5
	局部阻尼damp	0.5
墙体	法向刚度K_n/(N·m⁻¹)	3.5×10¹⁰
	切向刚度K_s/(N·m⁻¹)	7.0×10¹⁰
	摩擦系数μ_f	0.2

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