Abstract
In order to study the effects of the rolling friction of the particles on granular packing, we present a detailed analysis of circular disk assemblies with the rolling friction under macroscopic one-dimensional compression. The rolling friction of the particles produces a resisting moment to the rolling at each contact. A series of 2-D DEM simulations are performed with various values for the rolling friction parameter. We focus on several macroscopic and microstructural properties of granular media and analyze them as a functions of the rolling friction. From these results, we show that the rolling resistance, which results from the rolling friction of the particles, contributes to the inhibition of the rearrangement of the particles and increases the magnitude of the fabric anisotropy under packing. In addition, from both microscopic and macroscopic points of view, we describe that the stress state in a granular packing can vary considerably depending on the rolling resistance.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Jaeger, H., Nagel, S., Behringer, R.P.: Granular solids, liquids, and gases. Rev. Mod. Phys. 68, 1259 (1996)
Goldenberg, C., Goldhirch, I.: Effects of friction and disorder on the quasistatic response of granular solids to a localized force. Phy. Rev. E 77, 041303 (2008)
Roux, J.N.: Geometric origin of mechanical properties of granular materials. Phys. Rev. E 61(6), 6802 (2000)
Makse, H.A., johnson, D.L., Schwartz, L.M.: Packing of compressible granular materials. Phys. Rev. Lett. 84(18), 4160 (2000)
Mueth, D.M., Jaeger, H.M., Nagel, S.R.: Force distribution in a granular medium. Phys. Rev. E 57(3), 3164 (1998)
Tighe, B.P., Snoeijer, J.H., Vlugt, T.J.H., van Hecke, M.: The force network ensemble for granular packings. Soft Matter 6, 2908–2917 (2010)
Matuttis, H.G., Luding, S., Herrmann, H.J.: Discrete element simulations of dense packings and heaps made of spherical and nonspherical particles. Powder Technol. 109, 278–292 (2000)
Rothenberg, L., Bathurst, R.J.: Micromechanical features of granular assemblies with planer elliptical particles. Géotechnique 42(1), 79–95 (1992)
Guises, R., Xiang, J., Latham, J.P., Munjiza, A.: Granular packing: numerical simulation and the characterisation of the effect of particle shape. Granul. Matter 11, 281–292 (2009)
Lu, M., McDowell, G.R.: The importance of modeling ballast particle shape in the discrete element method. Granul. Matter 9, 69–80 (2007)
Matsushima, T., Chang, C.S.: Qulitative evaluation of the effect of irregularly shaped particles in sheared granular assemblies. Granul. Matter (2011). doi:10.1007/s10035-011-0263-6
Iwashita, K., Oda, M.: Rolling resistance at contacts in simulation of shear band development by DEM. Powder Technol. 109, 192–205 (2000)
Cundall, P.A., Strack, O.D.L.: A discrete numerical model for granular, assemblies. Géotechnique 29(1), 47–65 (1979)
Sakaguchi, H., Ozaki, E., Igarashi, T.: Plugging of the flow of the granular materials during the discharge from a silo. Int. J. Mod. Phys. 7, 1949–1963 (1993)
ITASCA.: PFC2D Theory and Background. Itasca Consulting Group, Inc., Minneapolis (2004)
Tordesillas, A., Stuart Walsh, D.C.: Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media. Powder Technol. 124, 106–111 (2002)
Utili, S., Nova, R.: DEM analysis of bonded granular geomaterials. Int. J. Numer. Anal. Meth. Geomech. 7, 1997–2031 (2008)
Cundall, P. A.: 4 distinct element methods of rock and soil structure. In: Brown, E.T. (ed.) Analytical and Computational Methods in Engineering Rock Mechanics, pp. 129–163. Allen &Uwin, London (1987).
Estrada, N., Taboada, A., Radjaï, F.: Sear strength and force transmission in granular media with rolling resistance. Phys. Rev. E 78(6), 021301 (2008)
Yun, T.S., Evans, T.M.: Evolution of at-rest lateral stress for cemented sands: experimental and numerical investigation. Granul. Matter (2011). doi:10.1007/s10035-011-0279-y
Jàky, J.: The coefficient of earth pressure at rest. In Hungarian (A nyugalmi nyomas tenyezoje), J. Soc. Hung. Eng. Arch. (Magyar Mernok es Epitesz-Egylet Kozlonye), pp. 355–358 (1944)
Eder, W.: Friction measurements in granular media. Phy. Rev. E 69, 021303 (2004)
Bathurst, R.J., Rothenburg, L.: Observation on stress-force fabric relationships in idealized granular materials. Géotechnique 39(4), 601–614 (1989)
Radjaï, F., Wolf, D.E., Jean, M., Moreau, J.-J.: Bimodal character of stress transmission in granular packing. Phys. Rev. Lett. 80(1), 61 (1998)
Majmudar, T.S., Behringer, R.P.: Contact force measurements and stress-induced anisotropy in granular materials. Nature 435, 1079 (2005)
Snoeijer, J.H., Ellenbroek, W.G., Vlugt, T.J.H., van Hecke, M.: Sheared force network: anisotropies, yielding, and geometry. Phys. Rev. Lett. 96, 098001 (2006)
O’Sullivan, C.: Particulate Discrete Element Modelling: A Geomechanics Perspective. Taylor & Francis, New York (2011)
Poschel, T., Schwager, T.: Computational Granular Dynamics. Springer, New York (2005)
Feng, Y., Han, K., Owen, D.: Filling domains with disks: An advancing front approach. Int. J. Numer. Meth. Engng. 56(5), 699–731 (2003)
Geng, J., Longhi, E., Behringer, R.P., Howell, D.W.: Memory in two-dimensional heap experiments. Phy. Rev. E 64, R060301 (2001)
Voivret, C., Radjaï, F., Delenne, J.-Y., Youssoufi, M.S.E.I.: Space-filling properties of polydisperse granular media. Phy. Rev. E 76, 021301 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fukumoto, Y., Sakaguchi, H. & Murakami, A. The role of rolling friction in granular packing. Granular Matter 15, 175–182 (2013). https://doi.org/10.1007/s10035-013-0398-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10035-013-0398-8