Journal Home > Volume 10 , Issue 5

Granular friction behaviors are crucial for understanding the ubiquitous packing and flow phenomena in nature and industrial production. In this study, a customized experimental apparatus that can simultaneously measure the time history of normal and tangential forces on the inside-shearing unit is employed to investigate the granular friction behaviors during a linear reciprocating sliding process. It is observed that the evolution behaviors of two normal forces distributed separately on the shearing unit can qualitatively reflect the effects of the force chain network. During the half-loop of the reciprocating sliding, the total normal force, which indicates the load-bearing capacity of the granular system, experiences the following typical stages: decreases abruptly and stabilizes momentarily, further decreases significantly to the minimum, gradually increases to the maximum, and then remains stable. These stages are associated closely with the relaxation, collapse, reconstruction, and stabilization of the force chain, respectively. Interestingly, the coefficient of friction (COF) can reach a stable value rapidly within the initial sliding stage and subsequently remain constant. The average COF within stable ranges decreases significantly with the external load G in the power-function form, G-0.5. Meanwhile, the COF increases slightly with the sliding velocity. Finally, a complete illustration of the dependences of the granular COF on the external load and sliding velocity is provided. Our study contributes to granular friction research by providing an innovative experimental approach for directly measuring the COF and implicitly correlating the evolution of the force chain network.


menu
Abstract
Full text
Outline
About this article

Experimental investigation of granular friction behaviors during reciprocating sliding

Show Author's information Xuejie ZHANGWei SUNWei WANGKun LIU( )
Institute of Tribology, School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, China

Abstract

Granular friction behaviors are crucial for understanding the ubiquitous packing and flow phenomena in nature and industrial production. In this study, a customized experimental apparatus that can simultaneously measure the time history of normal and tangential forces on the inside-shearing unit is employed to investigate the granular friction behaviors during a linear reciprocating sliding process. It is observed that the evolution behaviors of two normal forces distributed separately on the shearing unit can qualitatively reflect the effects of the force chain network. During the half-loop of the reciprocating sliding, the total normal force, which indicates the load-bearing capacity of the granular system, experiences the following typical stages: decreases abruptly and stabilizes momentarily, further decreases significantly to the minimum, gradually increases to the maximum, and then remains stable. These stages are associated closely with the relaxation, collapse, reconstruction, and stabilization of the force chain, respectively. Interestingly, the coefficient of friction (COF) can reach a stable value rapidly within the initial sliding stage and subsequently remain constant. The average COF within stable ranges decreases significantly with the external load G in the power-function form, G-0.5. Meanwhile, the COF increases slightly with the sliding velocity. Finally, a complete illustration of the dependences of the granular COF on the external load and sliding velocity is provided. Our study contributes to granular friction research by providing an innovative experimental approach for directly measuring the COF and implicitly correlating the evolution of the force chain network.

Keywords: coefficient of friction, granular friction, force chains, reciprocating sliding

References(41)

[1]
Anthony J L, Marone C. Influence of particle characteristics on granular friction. J Geophys Res Solid Earth 110(8): B08409 (2005)
[2]
Lherminier S, Planet R, dit Vehel V L, Simon G, Vanel L, Måløy K J, Ramos O. Continuously sheared granular matter reproduces in detail seismicity laws. Phys Rev Lett 122(21): 218501 (2019)
[3]
Zhou J, Zhu C Y, Zhang W, Ai W T, Zhang X J, Liu K. Experimental and 3D MPFEM simulation study on the green density of Ti-6Al-4V powder compact during uniaxial high velocity compaction. J Alloys Compd 817: 153226 (2020)
[4]
Heshmat H. The rheology and hydrodynamics of dry powder lubrication. Tribol Trans 34(3): 433-439 (1991)
[5]
Jang J T, Khonsari M M. On the granular lubrication theory. Proc R Soc London, Ser A 461(2062): 3255-3278 (2005)
[6]
Berger N, Azéma E, Douce J F, Radjai F. Scaling behaviour of cohesive granular flows. Europhys Lett 112(6): 64004 (2015)
[7]
Nakatani M. Conceptual and physical clarification of rate and state friction: Frictional sliding as a thermally activated rheology. J Geophys Res Solid Earth 106(B7): 13347-13380 (2001)
[8]
Jop P, Forterre Y, Pouliquen O. A constitutive law for dense granular flows. Nature 441(7094): 727-730 (2006)
[9]
Binaree T, Azéma E, Estrada N, Renouf M, Preechawuttipong I. Combined effects of contact friction and particle shape on strength properties and microstructure of sheared granular media. Phys Rev E 102(2): 022901 (2020)
[10]
Nasuno S, Kudrolli A, Gollub J P. Friction in granular layers: Hysteresis and precursors. Phys Rev Lett 79(5): 949-952 (1997)
[11]
Nasuno S, Kudrolli A, Bak A, Gollub J P. Time-resolved studies of stick-slip friction in sheared granular layers. Phys Rev E 58(2): 2161-2171 (1998)
[12]
Géminard J C, Losert W. Frictional properties of bidisperse granular matter: Effect of mixing ratio. Phys Rev E 65(4): 041301 (2002)
[13]
MiDi G. On dense granular flows. Euro Phys J E 14(4): 341-365 (2004)
[14]
Siavoshi S, Orpe A V, Kudrolli A. Friction of a slider on a granular layer: Nonmonotonic thickness dependence and effect of boundary conditions. Phys Rev E 73(1): 010301 (2006)
[15]
Kuwano O, Ando R, Hatano T. Crossover from negative to positive shear rate dependence in granular friction. Geophys Res Lett 40(7): 1295-1299 (2013)
[16]
Horváth V K, Jánosi I M, Vella P J. Anomalous density dependence of static friction in sand. Phys Rev E 54(2): 2005-2009 (1996)
[17]
Knuth M, Marone C. Friction of sheared granular layers: Role of particle dimensionality, surface roughness, and material properties. Geochem Geophys Geosyst 8(3): Q03012 (2007)
[18]
Peyneau P E. Etude du comportement et du compactage de pates granulaires par simulation numerique discrete. (in French). Ph.D. Thesis. Ecole des Ponts ParisTech, 2009.
[19]
Fall A, Weber B, Pakpour M, Lenoir N, Shahidzadeh N, Fiscina J, Wagner C, Bonn D. Sliding friction on wet and dry sand. Phys Rev Lett 112(17): 175502 (2014)
[20]
Azéma E, Preechawuttipong I, Radjai F. Binary mixtures of disks and elongated particles: Texture and mechanical properties. Phys Rev E 94(4): 042901 (2016)
[21]
Daniels K E, Kollmer J E, Puckett J G. Photoelastic force measurements in granular materials. Rev Sci Instrum 88(5): 051808 (2017)
[22]
Hurley R C, Hall S A, Andrade J E, Wright J. Quantifying interparticle forces and heterogeneity in 3D granular materials. Phys Rev Lett 117(9): 098005 (2016)
[23]
Mueth D M, Debregeas G F, Karczmar G S, Eng P J, Nagel S R, Jaeger H M. Signatures of granular microstructure in dense shear flows. Nature 406(6794): 385-389 (2000)
[24]
Schaeffer D G, Barker T, Tsuji D, Gremaud P, Shearer M, Gray J M N T. Constitutive relations for compressible granular flow in the inertial regime. J Fluid Mech 874: 926-951 (2019)
[25]
Iordanoff I, Khonsari M M. Granular lubrication: Toward an understanding of the transition between kinetic and quasi-fluid regime. J Tribol 126(1): 137-145 (2004)
[26]
Da Cruz F, Emam S, Prochnow M, Roux J N, Chevoir F. Rheophysics of dense granular materials: Discrete simulation of plane shear flows. Phys Rev E 72(2): 021309 (2005)
[27]
Hatano T. Power-law friction in closely packed granular materials. Phys Rev E 75(6): 060301 (2007)
[28]
Ovarlez G, Kolb E, Clément E. Rheology of a confined granular material. Phys Rev E 64(6): 060302 (2001)
[29]
Sun Q C, Jin F, Liu J G, Zhang G H. Understanding force chains in dense granular materials. Int J Mod Phys B 24(29): 5743-5759 (2010)
[30]
Wang W, Gu W, Liu K. Force chain evolution and force characteristics of shearing granular media in Taylor- Couette geometry by DEM. Tribol Trans 58(2): 197-206 (2015)
[31]
Mueth D M, Jaeger H M, Nagel S R. Force distribution in a granular medium. Phys Rev E 57(3): 3164-3169 (1998)
[32]
Snoeijer J H, Vlugt T J H, van Hecke M, van Saarloos W. Force network ensemble: A new approach to static granular matter. Phys Rev Lett 92(5): 054302 (2004)
[33]
Majmudar T S, Behringer R P. Contact force measurements and stress-induced anisotropy in granular materials. Nature 435(7045): 1079-1082 (2005)
[34]
Howell D, Behringer R P, Veje C. Stress fluctuations in a 2D granular Couette experiment: A continuous transition. Phys Rev Lett 82(26): 5241-5244 (1999)
[35]
Kuhn M R. Structured deformation in granular materials. Mech Mater 31(6): 407-429 (1999)
[36]
Jop P. Rheological properties of dense granular flows. C R Phys 16(1): 62-72 (2015)
[37]
Divoux T, Géminard J C. Friction and dilatancy in immersed granular matter. Phys Rev Lett 99(25): 258301 (2007)
[38]
Cassar C, Nicolas M, Pouliquen O. Submarine granular flows down inclined planes. Phys Fluids 17(10): 103301 (2005)
[39]
Azéma E, Linero S, Estrada N, Lizcano A. Shear strength and microstructure of polydisperse packings: The effect of size span and shape of particle size distribution. Phys Rev E 96(2): 022902 (2017)
[40]
Utter B, Behringer R P. Transients in sheared granular matter. Europ Phys J E 14: 373-380 (2004)
[41]
DeGiuli E, McElwaine J N, Wyart M. Phase diagram for inertial granular flows. Phys Rev E 94(1): 012904 (2016)
Publication history
Copyright
Acknowledgements
Rights and permissions

Publication history

Received: 29 March 2020
Revised: 31 October 2020
Accepted: 07 January 2021
Published: 24 April 2021
Issue date: May 2022

Copyright

© The author(s) 2021.

Acknowledgements

This work was financially supported by the National Natural Science Foundation of China (Nos. 51975174 and 51875154).

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Return