散体介质SHPB被动围压试验体应力计算的理论修正方法

陈昊祥; 李杰; 邓树新; 王德荣; 王明洋

doi:10.11883/bzycj-2021-0357

散体介质SHPB被动围压试验体应力计算的理论修正方法

doi: 10.11883/bzycj-2021-0357

陈昊祥^1,,
李杰²,
邓树新³,
王德荣²,
王明洋^{2, 3, ,}

1.
北京建筑大学土木与交通工程学院, 北京 100044
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.
南京理工大学机械工程学院, 江苏南京 210094

基金项目: 北京市自然科学基金（8222010）；河南省特种防护材料重点实验室开放课题（SZKFKT202102）；北京建筑大学内涵发展-青年教师科研能力提升计划(X2102080921019)

详细信息

作者简介:
陈昊祥（1992－　），男，博士，chx@stu.bucea.edu.cn

通讯作者:
王明洋（1966－　），男，博士，教授，博士生导师，wmyrf@163.com

中图分类号: O347; O344
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- 被引次数: 0
出版历程
- 收稿日期: 2021-08-23
- 修回日期: 2021-12-31
- 网络出版日期: 2022-04-15
- 刊出日期: 2022-06-24

A theoretically-modified method for calculating the volumetric stresses in passive confined pressure SHPB tests of granular materials

1.
School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture,Beijing 100044, China
2.
State Key Laboratory of Disaster Prevention and Mitigation of Explosion and Impact, Army Engineering University of PLA, Nanjing 210007, Jiangsu, China
3.
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

摘要

摘要: SHPB被动围压试验为探究散体介质在爆炸和冲击荷载作用下的力学行为提供了一个行之有效的方法。针对相关试验设计和计算中存在的弊端和不足，借助经典板壳理论将SHPB被动围压试验中用于约束散体介质的刚性套筒简化为受均匀带状内压作用的圆柱形壳体。理论计算了套筒径向位移、环向应变与均匀带状内压及套筒几何、力学参数的关系，得到了套筒径向位移、环向应变沿其轴向的分布规律；分析了套筒长度、厚度、内外径以及均匀带状内压宽度之间等无量纲几何参数对计算结果的影响；将理论计算结果与试验和数值模拟结果进行对比，验证了理论计算结果的正确性。本文中提出的理论修正方法可为指导散体介质SHPB被动围压试验提供参考。
- 散体材料 /
- SHPB试验 /
- 圆柱壳体 /
- 修正系数
Abstract: The passive confined pressure SHPB (split Hopkinson pressure bar) test provides an efficient way to study the mechanical behaviors of granular materials at high strain rates (10² − 10⁴ s⁻¹) under the action of explosion and shock wave. In this study, aiming to overcome the disadvantages and demerits of design and calculations in the original passive confined pressure SHPB tests provided in previous works, which has been widely used to investigate the dynamical behaviors of granular materials, a rigid steel sleeve used to restrict the granular specimen is simplified as a circular cylindrical shell, instead of a thick-walled cylinder, subjected to band inner pressure. By using classical shell theory, the theoretical expressions are formulated for radial displacement and hoop strain of the steel sleeve, which contain the mechanical and geometrical parameters of inner pressure and rigid steel sleeve. The distributions of radial displacement and hoop strain along with the steel sleeve are also obtained, while the effects of dimensionless parameters (such as length, thickness, radius of steel sleeve and the width of inner pressure) on the calculation results are studied. Compared with the thick-walled cylinder theory, a modified coefficient k is proposed for estimating the stress states in granular specimens more accurately. To check the feasibility and validate the proposed modified theoretical method, the results derived from shell theory and hollow cylinder theory are compared with experimental and numerical results. It is noted that the shell theory gives better approximations than hollow cylinder theory, especially when d/L is much smaller than one; when the value of d/L approaches to one, the accuracy of two theories is both high, which could be accepted in engineering practices. Therefore, it is concluded that the modified theoretical method proposed in this study for estimating the stress state of specimen can serve as a reference in the passive confined pressure SHPB tests for granular materials.
- granular materials /
- SHPB tests /
- circular cylindrical shell /
- correction factor

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图 1 钢套筒端部效应的示意图

Figure 1. The configuration for the edge effect in the steel sleeve

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图 2 套筒受力

Figure 2. Stress on the steel sleeve

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图 3 套筒环向应变沿轴线的分布

Figure 3. Distribution of hoop strain on the outer surface along with the steel sleeve

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图 4 理论计算得到的修正系数与数值模拟结果的比较

Figure 4. Comparison of theoretical correction factors with numerical results

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图 5 模型网格划分

Figure 5. The element meshes for the numerical models

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图 6 理论计算得到的修正系数与数值模拟结果的比较（算例1）

Figure 6. Comparison of theoretical correction factors with numerical results (case 1)

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图 7 理论计算得到的修正系数与数值模拟结果的比较（算例2）

Figure 7. Comparison of theoretical correction factors with numerical results (case 2)

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图 8 理论轴向应力-应变理论曲线与试验结果^[4]的比较

Figure 8. Comparison of theoretical axial stress-stain curves with experimental results^[4]

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