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Chin. Phys. B, 2017, Vol. 26(8): 084502    DOI: 10.1088/1674-1056/26/8/084502

Ultrasound wave propagation in glass-bead packing under isotropic compression and uniaxial shear

Zhi-Gang Zhou(周志刚)1,2, Yi-Min Jiang(蒋亦民)3, Mei-Ying Hou(厚美瑛)1,2
1 Key Laboratory of Soft Matter Physics, Beijing National Laboratory for Condense Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 School of Physics and Electronics, Central South University, Changsha 410083, China

The axial-stress dependence of sound wave velocity in granular packing is experimentally investigated with tri-axial and uni-axial devices. Preparing samples by repetitive loadings and unloadings in a range of 20 kPa-1000 kPa, we find that the axial-stress dependence of sound wave velocity approaches the Hertz scaling with an exponent of 1/6 for large axial stresses (> 400 kPa). Weak deviation from the Hertz scaling is seen at low stresses. Repetitive axial loadings slightly reduce this deviation, and sound velocities increase nonlinearly approaching some saturated values. Velocities for uni-axial case are found slightly to be bigger than those for tri-axial isotropic compression case. These effects are discussed in the frameworks of granular solid hydrodynamics (GSH) and effective medium theory (EMT), which indicate that they cannot be explained with density nor Janssen ratio only. Dissipation occurring during wave propagation may be a non-negligible factor.

Keywords:  granular materials      ultrasonic wave      Hertz scaling law  
Received:  28 March 2017      Revised:  11 April 2017      Accepted manuscript online: 
PACS:  45.70.-n (Granular systems)  
  43.25.+y (Nonlinear acoustics)  
  83.80.Fg (Granular solids)  

Project supported by the National Natural Science Foundation of China (Grant Nos. 11274354 and11474326) and the Strategic Priority Research Program-SJ-10 of the Chinese Academy of Sciences (Grant No. XDA04020200).

Corresponding Authors:  Yi-Min Jiang     E-mail:
About author:  0.1088/1674-1056/26/8/

Cite this article: 

Zhi-Gang Zhou(周志刚), Yi-Min Jiang(蒋亦民), Mei-Ying Hou(厚美瑛) Ultrasound wave propagation in glass-bead packing under isotropic compression and uniaxial shear 2017 Chin. Phys. B 26 084502

[1] Timoshenko S and Goodier J N 1951 Theory of Elasticity (New York: McGraw-Hill Book Company, Inc.) p. 372
[2] Makse H A, Gland N, Johnson D L and Schwartz L M 1999 Phys. Rev. Lett. 83 5070
[3] Makse H A, Gland N, Johnson D L and Schwartz L M 2004 Phys. Rev. E. 70 061302
[4] Walton K 1987 J. Mech. Phys. Solids 35 213
[5] Jia X, Caroli C and Velicky B 1999 Phys. Rev. Lett. 82 1863
[6] Goddard J D 1990 Proc. R. Soc. London A 430 105
[7] Hardin B O and Blandford G E 1989 J. Geotech. Engng ASCE 115 788
[8] Khidas Y and Jia X 2010 Phys. Rev. E 81 021303
[9] Jiang Y and Liu M 2015 Eur. Phys. J. E 38 15
[10] Zhang Q, Li Y C, Hou M Y, Jiang Y M and Liu M 2012 Phys. Rev. E 85 031306
[11] Zhang Z C and Cheng X H 2015 Acta Geotechnica 10 781
[12] Goddard J D 1989 Bull. Am. Phys. Soc. 34 822
[13] Digby P J 1981 J. Appl. Mech. ASME 48 803
[14] Song C M, Wang P and Makse H A 2008 Nature 453 629
[15] Wang Y J 2017 Chin. Phys. B 26 014503
[16] Zhang X D, Xia C J, Xiao X H and Wang Y J 2014 Chin. Phys. B 23 044501
[17] Xia C J, Li J D, Cao Y X, Kou B Q, Xiao X H, Fezzaa K, Xiao T Q and Wang Y J 2015 Nat. Commun. 6 8409
[18] Hardin B O and Richart F E 1963 J. Soil Mech. Found. Div. ASCE 89 33
[19] Jiang Y M, Zheng H P, Peng Z, Fu L P, Song S X, Sun Q C, Mayer M and Liu M 2012 Phys. Rev. E 85 051304
[20] Landau L D and Lifshitz E M 1986 Theory of Elasticity, 3rd edn. (New York: Pergamon Press)
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