Granular packings with sliding, rolling, and twisting friction

Santos, A. P.; Bolintineanu, Dan S.; Grest, Gary S.; Lechman, Jeremy B.; Plimpton, Steven J.; Srivastava, Ishan; Silbert, Leonardo E.

doi:10.1103/physreve.102.032903

Granular packings with sliding, rolling, and twisting friction

Journal Article · Wed Sep 16 00:00:00 EDT 2020 · Physical Review. E

DOI:https://doi.org/10.1103/physreve.102.032903· OSTI ID:1667434

^[1]; Bolintineanu, Dan S. ^[1]; Grest, Gary S. ^[1]; Lechman, Jeremy B. ^[1]; Plimpton, Steven J. ^[1]; ^[1]; ^[2]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Central New Mexico Community College, Albuquerque, NM (United States). School of Math, Science and Engineering

Intuition tells us that a rolling or spinning sphere will eventually stop due to the presence of friction and other dissipative interactions. The resistance to rolling and spinning or twisting torque that stops a sphere also changes the microstructure of a granular packing of frictional spheres by increasing the number of constraints on the degrees of freedom of motion. We perform discrete element modeling simulations to construct sphere packings implementing a range of frictional constraints under a pressure-controlled protocol. Mechanically stable packings are achievable at volume fractions and average coordination numbers as low as 0.53 and 2.5, respectively, when the particles experience high resistance to sliding, rolling, and twisting. Only when the particle model includes rolling and twisting friction were experimental volume fractions reproduced.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC)

Grant/Contract Number:: AC04-94AL85000; NA0003525

OSTI ID:: 1667434

Report Number(s):: SAND--2020-9899J; 690705

Journal Information:: Physical Review. E, Journal Name: Physical Review. E Journal Issue: 3 Vol. 102; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (60)

Cohesive, frictional powders: contact models for tension Luding, Stefan Granular Matter, Vol. 10, Issue 4 https://doi.org/10.1007/s10035-008-0099-x	journal	March 2008
Observations on the effects of particle rotations on the failure of idealized granular materials Bardet, J. P. Mechanics of Materials, Vol. 18, Issue 2 https://doi.org/10.1016/0167-6636(94)00006-9	journal	July 1994
Rolling Resistance at Contacts in Simulation of Shear Band Development by DEM Iwashita, Kazuyoshi; Oda, Masanobu Journal of Engineering Mechanics, Vol. 124, Issue 3 https://doi.org/10.1061/(asce)0733-9399(1998)124:3(285)	journal	March 1998
Theory of Rolling Friction for Spheres Flom, D. G.; Bueche, A. M. Journal of Applied Physics, Vol. 30, Issue 11 https://doi.org/10.1063/1.1735043	journal	November 1959
Measurements of the collision properties of small spheres Foerster, Samuel F.; Louge, Michel Y.; Chang, Hongder Physics of Fluids, Vol. 6, Issue 3 https://doi.org/10.1063/1.868282	journal	March 1994
Effect of deformation of the surface texture on rolling resistance Halling, J. British Journal of Applied Physics, Vol. 10, Issue 4 https://doi.org/10.1088/0508-3443/10/4/304	journal	April 1959
Onset of Mechanical Stability in Random Packings of Frictional Spheres Jerkins, Melissa; Schröter, Matthias; Swinney, Harry L. Physical Review Letters, Vol. 101, Issue 1 https://doi.org/10.1103/physrevlett.101.018301	journal	July 2008
The Torsion of Elastic Spheres in Contact Lubkin, J. L. Journal of Applied Mechanics, Vol. 18, Issue 2 https://doi.org/10.1115/1.4010273	journal	June 1951
Rolling friction of a viscous sphere on a hard plane Brilliantov, N. V.; Pöschel, T. Europhysics Letters (EPL), Vol. 42, Issue 5 https://doi.org/10.1209/epl/i1998-00281-7	journal	June 1998
Bond rolling resistance and its effect on yielding of bonded granulates by DEM analyses Jiang, M. J.; Yu, H. S.; Harris, D. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 30, Issue 8 https://doi.org/10.1002/nag.498	journal	January 2006
Fast Parallel Algorithms for Short-Range Molecular Dynamics Plimpton, Steve Journal of Computational Physics, Vol. 117, Issue 1 https://doi.org/10.1006/jcph.1995.1039	journal	March 1995
The influence of rolling resistance on the stress-dilatancy and fabric anisotropy of granular materials Liu, Yiming; Liu, Huabei; Mao, Haijun Granular Matter, Vol. 20, Issue 1 https://doi.org/10.1007/s10035-017-0780-z	journal	January 2018
Force transmission and anisotropic characteristics of sheared granular materials with rolling resistance Wu, Wei; Ma, Gang; Zhou, Wei Granular Matter, Vol. 21, Issue 4 https://doi.org/10.1007/s10035-019-0938-y	journal	August 2019
Rolling friction of a hard cylinder on a viscous plane Pöschel, T.; Schwager, T.; Brilliantov, N. V. The European Physical Journal B, Vol. 10, Issue 1 https://doi.org/10.1007/s100510050840	journal	July 1999
The Hertz problem for a rigid spherical indenter and a viscoelastic half-space Hunter, S. C. Journal of the Mechanics and Physics of Solids, Vol. 8, Issue 4 https://doi.org/10.1016/0022-5096(60)90028-4	journal	November 1960
A novel discrete model for granular material incorporating rolling resistance Jiang, M. J.; Yu, H. -S.; Harris, D. Computers and Geotechnics, Vol. 32, Issue 5 https://doi.org/10.1016/j.compgeo.2005.05.001	journal	July 2005
Discrete-element modeling of particulate aerosol flows Marshall, J. S. Journal of Computational Physics, Vol. 228, Issue 5 https://doi.org/10.1016/j.jcp.2008.10.035	journal	March 2009
A novel methodology to predict sliding and rolling friction of viscoelastic materials: Theory and experiments Carbone, Giuseppe; Putignano, Carmine Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 8 https://doi.org/10.1016/j.jmps.2013.03.005	journal	August 2013
Rolling and sliding in 3-D discrete element models Wang, Yucang; Alonso-Marroquin, Fernando; Guo, William W. Particuology, Vol. 23 https://doi.org/10.1016/j.partic.2015.01.006	journal	December 2015
Comment on “Rolling friction in the dynamic simulation of sandpile formation” Khan, K. M.; Bushell, G. Physica A: Statistical Mechanics and its Applications, Vol. 352, Issue 2-4 https://doi.org/10.1016/j.physa.2005.01.019	journal	July 2005
A theoretical analysis of the force models in discrete element method Zhu, H. P.; Yu, A. B. Powder Technology, Vol. 161, Issue 2 https://doi.org/10.1016/j.powtec.2005.09.006	journal	January 2006
Assessment of rolling resistance models in discrete element simulations Ai, Jun; Chen, Jian-Fei; Rotter, J. Michael Powder Technology, Vol. 206, Issue 3 https://doi.org/10.1016/j.powtec.2010.09.030	journal	January 2011
Dense granular flow — A collaborative study Mort, P.; Michaels, J. N.; Behringer, R. P. Powder Technology, Vol. 284 https://doi.org/10.1016/j.powtec.2015.06.006	journal	November 2015
Contact Mechanics Johnson, K. L. https://doi.org/10.1017/CBO9781139171731	book	January 1985
Effect of Container Walls on Packing Density of Particles Brown, R. L.; Hawksley, P. G. W. Nature, Vol. 157, Issue 3992 https://doi.org/10.1038/157585a0	journal	May 1946
Packing of Spheres: Packing of Equal Spheres Scott, G. David Nature, Vol. 188, Issue 4754 https://doi.org/10.1038/188908a0	journal	December 1960
Packing of Spheres Rutgers, R. Nature, Vol. 193, Issue 4814 https://doi.org/10.1038/193465a0	journal	February 1962
A phase diagram for jammed matter Song, Chaoming; Wang, Ping; Makse, Hernán A. Nature, Vol. 453, Issue 7195 https://doi.org/10.1038/nature06981	journal	May 2008
Equation of state for random sphere packings with arbitrary adhesion and friction Liu, Wenwei; Jin, Yuliang; Chen, Sheng Soft Matter, Vol. 13, Issue 2 https://doi.org/10.1039/C6SM02216B	journal	January 2017
Slow creep in soft granular packings Srivastava, Ishan; Fisher, Timothy S. Soft Matter, Vol. 13, Issue 18 https://doi.org/10.1039/C7SM00237H	journal	January 2017
Force transmission and the order parameter of shear thickening Mari, Romain; Seto, Ryohei Soft Matter, Vol. 15, Issue 33 https://doi.org/10.1039/C9SM01223K	journal	January 2019
Jamming of frictional spheres and random loose packing Silbert, Leonardo E. Soft Matter, Vol. 6, Issue 13 https://doi.org/10.1039/c001973a	journal	January 2010
Loose packings of frictional spheres Farrell, Greg R.; Martini, K. Michael; Menon, Narayanan Soft Matter, Vol. 6, Issue 13 https://doi.org/10.1039/c0sm00038h	journal	January 2010
Rolling Resistance at Contacts in Simulation of Shear Band Development by DEM Iwashita, Kazuyoshi; Oda, Masanobu Journal of Engineering Mechanics, Vol. 124, Issue 3 https://doi.org/10.1061/(ASCE)0733-9399(1998)124:3(285)	journal	March 1998
Rolling Friction of a Hard Cylinder over a Viscoelastic Material May, W. D.; Morris, E. L.; Atack, D. Journal of Applied Physics, Vol. 30, Issue 11 https://doi.org/10.1063/1.1735042	journal	November 1959
Polymorphic transitions in single crystals: A new molecular dynamics method Parrinello, M.; Rahman, A. Journal of Applied Physics, Vol. 52, Issue 12 https://doi.org/10.1063/1.328693	journal	December 1981
Constant pressure molecular dynamics algorithms Martyna, Glenn J.; Tobias, Douglas J.; Klein, Michael L. The Journal of Chemical Physics, Vol. 101, Issue 5 https://doi.org/10.1063/1.467468	journal	September 1994
L. On the calculation of the equilibrium and stiffness of frames Maxwell, J. Clerk The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 27, Issue 182 https://doi.org/10.1080/14786446408643668	journal	April 1864
The density of random close packing of spheres Scott, G. D.; Kilgour, D. M. Journal of Physics D: Applied Physics, Vol. 2, Issue 6 https://doi.org/10.1088/0022-3727/2/6/311	journal	June 1969
Rapid estimation of elastic constants by molecular dynamics simulation under constant stress Shinoda, Wataru; Shiga, Motoyuki; Mikami, Masuhiro Physical Review B, Vol. 69, Issue 13 https://doi.org/10.1103/PhysRevB.69.134103	journal	April 2004
Osmotic pressure and viscoelastic shear moduli of concentrated emulsions Mason, T.; Lacasse, Martin-D.; Grest, Gary Physical Review E, Vol. 56, Issue 3 https://doi.org/10.1103/PhysRevE.56.3150	journal	September 1997
Geometry of frictionless and frictional sphere packings Silbert, Leonardo E.; Ertaş, Deniz; Grest, Gary S. Physical Review E, Vol. 65, Issue 3 https://doi.org/10.1103/PhysRevE.65.031304	journal	February 2002
Jamming at zero temperature and zero applied stress: The epitome of disorder O’Hern, Corey S.; Silbert, Leonardo E.; Liu, Andrea J. Physical Review E, Vol. 68, Issue 1 https://doi.org/10.1103/PhysRevE.68.011306	journal	July 2003
Force mobilization and generalized isostaticity in jammed packings of frictional grains Shundyak, Kostya; van Hecke, Martin; van Saarloos, Wim Physical Review E, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevE.75.010301	journal	January 2007
Critical and noncritical jamming of frictional grains Somfai, Ellák; van Hecke, Martin; Ellenbroek, Wouter G. Physical Review E, Vol. 75, Issue 2 https://doi.org/10.1103/PhysRevE.75.020301	journal	February 2007
Shear strength and force transmission in granular media with rolling resistance Estrada, Nicolas; Taboada, Alfredo; Radjaï, Farhang Physical Review E, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevE.78.021301	journal	August 2008
Variable-cell method for stress-controlled jamming of athermal, frictionless grains Smith, Kyle C.; Srivastava, Ishan; Fisher, Timothy S. Physical Review E, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevE.89.042203	journal	April 2014
Onset of Mechanical Stability in Random Packings of Frictional Spheres Jerkins, Melissa; Schröter, Matthias; Swinney, Harry L. Physical Review Letters, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevLett.101.018301	journal	July 2008
Soft-Sphere Packings at Finite Pressure but Unstable to Shear Dagois-Bohy, Simon; Tighe, Brian P.; Simon, Johannes Physical Review Letters, Vol. 109, Issue 9 https://doi.org/10.1103/PhysRevLett.109.095703	journal	August 2012
Constraint-Based Approach to Granular Dispersion Rheology Guy, B. M.; Richards, J. A.; Hodgson, D. J. M. Physical Review Letters, Vol. 121, Issue 12 https://doi.org/10.1103/PhysRevLett.121.128001	journal	September 2018
Shear Thickening and Jamming of Dense Suspensions: The “Roll” of Friction Singh, Abhinendra; Ness, Christopher; Seto, Ryohei Physical Review Letters, Vol. 124, Issue 24 https://doi.org/10.1103/PhysRevLett.124.248005	journal	June 2020
Foam Mechanics at the Bubble Scale Durian, D. J. Physical Review Letters, Vol. 75, Issue 26 https://doi.org/10.1103/PhysRevLett.75.4780	journal	December 1995
Is Random Close Packing of Spheres Well Defined? Torquato, S.; Truskett, T. M.; Debenedetti, P. G. Physical Review Letters, Vol. 84, Issue 10, p. 2064-2067 https://doi.org/10.1103/PhysRevLett.84.2064	journal	March 2000
Energy Losses of Balls Rolling on Plates Drutowski, R. C. Journal of Basic Engineering, Vol. 81, Issue 2 https://doi.org/10.1115/1.4008426	journal	June 1959
The Effect of Spin Upon the Rolling Motion of an Elastic Sphere on a Plane Johnson, K. L. Journal of Applied Mechanics, Vol. 25, Issue 3 https://doi.org/10.1115/1.4011822	journal	September 1958
The Effect of a Tangential Contact Force Upon the Rolling Motion of an Elastic Sphere on a Plane Johnson, K. L. Journal of Applied Mechanics, Vol. 25, Issue 3 https://doi.org/10.1115/1.4011823	journal	September 1958
Ueber die Berührung fester elastischer Körper. Hertz, Heinrich crll, Vol. 1882, Issue 92, p. 156-171 https://doi.org/10.1515/crll.1882.92.156	journal	January 1882
A Note on the Influence of Interparticle Friction on the Shearing Strength of a Random Assembly of Spherical Particles Skinner, A. E. Géotechnique, Vol. 19, Issue 1 https://doi.org/10.1680/geot.1969.19.1.150	journal	January 1969
A discrete numerical model for granular assemblies Cundall, P. A.; Strack, O. D. L. Géotechnique, Vol. 29, Issue 1 https://doi.org/10.1680/geot.1979.29.1.47	journal	March 1979
Role of particle rotations and rolling resistance in a semi-infinite particulate solid indented by a rigid flat punch Tordesillas, Antoinette; Peters, John; Muthuswamy, Maya ANZIAM Journal, Vol. 46 https://doi.org/10.21914/anziamj.v46i0.958	journal	April 2005

Similar Records

Effect of shape and friction on the packing and flow of granular materials

Journal Article · Tue Nov 06 19:00:00 EST 2018 · Physical Review E · OSTI ID:1483965

Protocol-dependent frictional granular jamming simulations: cyclical, compression, and expansion

Journal Article · Sun Jan 28 19:00:00 EST 2024 · Frontiers in Soft Matter · OSTI ID:2283119

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
condensed matter & materials physics
dry granular materials
granular materials
granular packing
molecular dynamics
statistical physics

Granular packings with sliding, rolling, and twisting friction

Citation Formats

References (60)

Similar Records

Related Subjects