颗粒固体应力转向比的光弹法探测

宗谨; 周志刚; 王文广; 张晟; 林平; 石玉仁; 厚美瑛

doi:10.7498/aps.66.104501

摘要

利用压敏双折射光学特性材料，实验测量了在自然堆积和密堆积两种制样方式下颗粒仓轴向荷载在仓壁上随深度的分布.发现在填充颗粒总质量相同、容器不变的情况下，颗粒仓轴向荷载在仓壁上的分布不随颗粒深度单调变化，而是随深度呈单峰结构，数值模拟与实验观察定性符合，并且发现峰值依赖于荷载大小和样品的制备方式.另外，我们也测量了在不同填充高度下的颗粒底部平均应力随轴向荷载的变化，将其与边壁应力对比，得到颗粒体系不同深度处的转向比.

关键词:

颗粒固体 /
光弹法 /
转向比

Abstract

In this work Janssen ratio is measured in a dense granular pack. The pressure on the side walls as a function of the depth of the pack with top load under gravity is measured by photoelastic method. The samples are prepared by point source method with and without tapping. A non-monotonic distribution of the side pressure along the depth is found. Numerical simulation is performed and shows qualitative consistency with the experimental finding. The apparent weight of the sample is measured for different filling heights and for different top loads. Comparing with the normal stresses on the silo wall for different heights, we obtain the Janssen ratio J =xx/zz as a function of height. We find that although uJ = 0.11 is a constant as is expected, the Janssen Ratio is height dependent. It becomes height independent only when the top load is large enough.

Keywords:

作者及机构信息

1.
西北师范大学物理与电子工程学院, 兰州 730070;

2.
中国科学院物理研究所, 北京 100190;

3.
中国科学院大学物理学院, 北京 100049;

4.
中国科学院近代物理研究所, 兰州 730070;

5.
甘肃民族师范学院物理与水电工程系, 合作 747000

通信作者: 厚美瑛, mayhou@iphy.ac.cn

基金项目: 国家自然科学基金（批准号：11274354，11474326，11565021）、中国科学院空间科学战略性先导科技专项（批准号：XDA04020200）和地震行业科研经费（批准号：201208011）资助的课题.

Authors and contacts

1.
Northwest Normal University, Lanzhou 730070, China;

2.
Key Laboratory of Soft Matter Physics, Beijing National Laboratory for Condense Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;

3.
College of Physics, University of Chinese Academic of Sciences, Beijing 100049, China;

4.
Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730070, China;

5.
College of Physics and Hydropower Engineering, Gansu Normal University For Nationalities, Hezuo 747000, China

Corresponding author: Hou Mei-Ying, mayhou@iphy.ac.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11274354, 11474326, 11565021), the Strategic Priority Research Program-SJ-10 of the Chinese Academy of Sciences (Grant No. XDA04020200), and the Special Fund for Earthquake Research of China (Grant No. 201208011).

参考文献

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[7]	Janssen H A 1896 Civ. Inst. Eng. Proc. 124 553
[8]	Sperl M 2006 Granular Matter 8 59
[9]	Vitelli V, van Hecke M 2011 Nature 480 325
[10]	Bi D P, Zhang J, Chakraborty B, Behringer R P 2011 Nature 480 355
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[12]	Hartley R R, Behringer R P 2003 Nature 421 928
[13]	Luding S 2005 Nature 435 159
[14]	Goldenberg C, Goldhirsch I 2005 Nature 435 188
[15]	Corwin E I, Jaeger H M, Nagel S R 2005 Nature 435 1075
[16]	Hartley R R 2003 Ph. D. Dissertation (USA: Duke University)
[17]	Tian Y, Qi J, Lai J, Zhou Q 2013 International Joint Conference on IEEE Nov. 2-4, 2013 p547
[18]	Qi J, Li K C, Jiang H, Zhou Q, Yang L 2015 Int. J. Comput. Sci. Engineer. 11 p330
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[22]	Sperl M 2006 Granular Matter 8 59
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[24]	Jiang Y M, Zheng H P 2008 Acta Phys. Sin. 57 7360 (in Chinese) [蒋亦民, 郑鹤鹏 2008 57 7360]

施引文献

[1]	Jaeger H M, Nagel S R, Behringer R P 1996 Rev. Mod. Phys. 68 1259
[2]	de Gennes P G 1992 Rev. Mod. Phys. 64 645
[3]	Liu A J, Nagel S R 1998 Nature 396 21
[4]	Zuriguel I, Mullin T, Arévalo R 2008 Phys. Rev. E 77 1006
[5]	Liu C H, Nagel S R, Schecter D A, Coppersmith S N, Majumdar S, Narayan O, Witten T 1995 Science 269 513
[6]	Geng J, Longhi E, Behringer R P, Howell D W 2002 Phys. Rev. E 64 060301
[7]	Janssen H A 1896 Civ. Inst. Eng. Proc. 124 553
[8]	Sperl M 2006 Granular Matter 8 59
[9]	Vitelli V, van Hecke M 2011 Nature 480 325
[10]	Bi D P, Zhang J, Chakraborty B, Behringer R P 2011 Nature 480 355
[11]	Wambaugh J F, Hartley R R, Behringer R P 2010 Eur. Phys. J. E 32 135
[12]	Hartley R R, Behringer R P 2003 Nature 421 928
[13]	Luding S 2005 Nature 435 159
[14]	Goldenberg C, Goldhirsch I 2005 Nature 435 188
[15]	Corwin E I, Jaeger H M, Nagel S R 2005 Nature 435 1075
[16]	Hartley R R 2003 Ph. D. Dissertation (USA: Duke University)
[17]	Tian Y, Qi J, Lai J, Zhou Q 2013 International Joint Conference on IEEE Nov. 2-4, 2013 p547
[18]	Qi J, Li K C, Jiang H, Zhou Q, Yang L 2015 Int. J. Comput. Sci. Engineer. 11 p330
[19]	Silbert L E, Ertas D, Grest G S, Halsey T C, Levine D 2002 Phys. Rev. E 65 031304
[20]	Silbert L E, Ertas D, Grest G S, Halsey T C, Levine D, Plimption S J 2001 Phys. Rev. E 64 051302
[21]	Allen M P, Tildesley D J 1989 Computer Simulation of Liquids (Oxford: Oxford University Press)
[22]	Sperl M 2006 Granular Matter 8 59
[23]	Li Z F, Peng Z, Jiang Y M 2014 Acta Phys. Sin. 63 104503 (in Chinese) [李智峰, 彭政, 蒋亦民 2014 63 104503]
[24]	Jiang Y M, Zheng H P 2008 Acta Phys. Sin. 57 7360 (in Chinese) [蒋亦民, 郑鹤鹏 2008 57 7360]

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