Dynamic induced softening in frictional granular materials investigated by discrete-element-method simulation
Abstract
A granular system composed of frictional glass beads is simulated here using the discrete element method. The intergrain forces are based on the Hertz contact law in the normal direction with frictional tangential force. The damping due to collision is also accounted for. Systems are loaded at various stresses and their quasistatic elastic moduli are characterized. Each system is subjected to an extensive dynamic testing protocol by measuring the resonant response to a broad range of ac drive amplitudes and frequencies via a set of diagnostic strains. The system, linear at small ac drive amplitudes, has resonance frequencies that shift downward (i.e., modulus softening) with increased ac drive amplitude. Detailed testing shows that the slipping contact ratio does not contribute significantly to this dynamic modulus softening, but the coordination number is strongly correlated to this reduction. This suggests that the softening arises from the extended structural change via break and remake of contacts during the rearrangement of bead positions driven by the ac amplitude.
- Authors:
-
- Swiss Federal Inst. of Technology in Zurich (ETH Zurich) (Switzerland). Chair of Building Physics; Swiss Federal Lab. for Materials Science and Technology (Empa), Dübendorf (Switzerland). Lab. of Multiscale Studies in Building Physics
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Nevada, Reno, NV (United States). Dept. of Physics
- Inst. Langevin, Paris (France)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1514965
- Alternate Identifier(s):
- OSTI ID: 1410868
- Report Number(s):
- LA-UR-17-27305
Journal ID: ISSN 2470-0045
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 6; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; granular packing; dry granular materials; granular materials; hydrodynamic waves
Citation Formats
Lemrich, Laure, Carmeliet, Jan, Johnson, Paul A., Guyer, Robert, and Jia, Xiaoping. Dynamic induced softening in frictional granular materials investigated by discrete-element-method simulation. United States: N. p., 2017.
Web. doi:10.1103/PhysRevE.96.062901.
Lemrich, Laure, Carmeliet, Jan, Johnson, Paul A., Guyer, Robert, & Jia, Xiaoping. Dynamic induced softening in frictional granular materials investigated by discrete-element-method simulation. United States. doi:10.1103/PhysRevE.96.062901.
Lemrich, Laure, Carmeliet, Jan, Johnson, Paul A., Guyer, Robert, and Jia, Xiaoping. Fri .
"Dynamic induced softening in frictional granular materials investigated by discrete-element-method simulation". United States. doi:10.1103/PhysRevE.96.062901. https://www.osti.gov/servlets/purl/1514965.
@article{osti_1514965,
title = {Dynamic induced softening in frictional granular materials investigated by discrete-element-method simulation},
author = {Lemrich, Laure and Carmeliet, Jan and Johnson, Paul A. and Guyer, Robert and Jia, Xiaoping},
abstractNote = {A granular system composed of frictional glass beads is simulated here using the discrete element method. The intergrain forces are based on the Hertz contact law in the normal direction with frictional tangential force. The damping due to collision is also accounted for. Systems are loaded at various stresses and their quasistatic elastic moduli are characterized. Each system is subjected to an extensive dynamic testing protocol by measuring the resonant response to a broad range of ac drive amplitudes and frequencies via a set of diagnostic strains. The system, linear at small ac drive amplitudes, has resonance frequencies that shift downward (i.e., modulus softening) with increased ac drive amplitude. Detailed testing shows that the slipping contact ratio does not contribute significantly to this dynamic modulus softening, but the coordination number is strongly correlated to this reduction. This suggests that the softening arises from the extended structural change via break and remake of contacts during the rearrangement of bead positions driven by the ac amplitude.},
doi = {10.1103/PhysRevE.96.062901},
journal = {Physical Review E},
number = 6,
volume = 96,
place = {United States},
year = {2017},
month = {12}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 3 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
FIG. 1: (left) Representation of a sample, with large particles in a darker color. The packing is enclosed between two walls along the y-direction. (right) The two horizontal sections in the sample enclose a local region where wall effects are minimal. The perturbation are movements of the top wall whilemore »
All figures and tables
(9 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Why Effective Medium Theory Fails in Granular Materials
journal, December 1999
- Makse, Hernán A.; Gland, Nicolas; Johnson, David L.
- Physical Review Letters, Vol. 83, Issue 24
Nonlinear dynamics, granular media and dynamic earthquake triggering
journal, October 2005
- Johnson, Paul A.; Jia, Xiaoping
- Nature, Vol. 437, Issue 7060
Transitional nonlinear elastic behaviour in dense granular media
journal, January 2008
- Brunet, Thomas; Jia, Xiaoping; Johnson, Paul A.
- Geophysical Research Letters, Vol. 35, Issue 19
The Effective Elastic Moduli of Porous Granular Rocks
journal, December 1981
- Digby, P. J.
- Journal of Applied Mechanics, Vol. 48, Issue 4
Jamming at zero temperature and zero applied stress: The epitome of disorder
journal, July 2003
- O’Hern, Corey S.; Silbert, Leonardo E.; Liu, Andrea J.
- Physical Review E, Vol. 68, Issue 1
Internal states of model isotropic granular packings. III. Elastic properties
journal, December 2007
- Agnolin, Ivana; Roux, Jean-Noël
- Physical Review E, Vol. 76, Issue 6
Ultrasound Propagation in Externally Stressed Granular Media
journal, March 1999
- Jia, X.; Caroli, C.; Velicky, B.
- Physical Review Letters, Vol. 82, Issue 9
Heat transport in model jammed solids
journal, February 2010
- Vitelli, Vincenzo; Xu, Ning; Wyart, Matthieu
- Physical Review E, Vol. 81, Issue 2
Anisotropic nonlinear elasticity in a spherical-bead pack: Influence of the fabric anisotropy
journal, February 2010
- Khidas, Yacine; Jia, Xiaoping
- Physical Review E, Vol. 81, Issue 2
The jamming route to the glass state in weakly perturbed granular media
journal, September 2001
- D'Anna, G.; Gremaud, G.
- Nature, Vol. 413, Issue 6854
Nonlinear Elasticity of Granular Media
journal, March 1997
- Norris, A. N.; Johnson, D. L.
- Journal of Applied Mechanics, Vol. 64, Issue 1
Sensitive determination of nonlinear properties of berea sandstone at low strains
journal, July 2000
- Smith, Eric; TenCate, James A.
- Geophysical Research Letters, Vol. 27, Issue 13
Anharmonic and quasi-localized vibrations in jammed solids—Modes for mechanical failure
journal, June 2010
- Xu, N.; Vitelli, V.; Liu, A. J.
- EPL (Europhysics Letters), Vol. 90, Issue 5
Elastic wave propagation in confined granular systems
journal, August 2005
- Somfai, Ellák; Roux, Jean-Noël; Snoeijer, Jacco H.
- Physical Review E, Vol. 72, Issue 2
Sound wave acceleration in granular materials
journal, July 2006
- Mouraille, O.; Mulder, W. A.; Luding, S.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2006, Issue 07
Internal states of model isotropic granular packings. I. Assembling process, geometry, and contact networks
journal, December 2007
- Agnolin, Ivana; Roux, Jean-Noël
- Physical Review E, Vol. 76, Issue 6
Granular packings: Nonlinear elasticity, sound propagation, and collective relaxation dynamics
journal, December 2004
- Makse, Hernán A.; Gland, Nicolas; Johnson, David L.
- Physical Review E, Vol. 70, Issue 6
Friction enhances elasticity in granular solids
journal, May 2005
- Goldenberg, C.; Goldhirsch, I.
- Nature, Vol. 435, Issue 7039
The effective elastic moduli of a random packing of spheres
journal, January 1987
- Walton, K.
- Journal of the Mechanics and Physics of Solids, Vol. 35, Issue 2
Evolution of granular packings by nonlinear acoustic waves
journal, January 2013
- van den Wildenberg, S.; van Hecke, M.; Jia, X.
- EPL (Europhysics Letters), Vol. 101, Issue 1
Jamming, Force Chains, and Fragile Matter
journal, August 1998
- Cates, M. E.; Wittmer, J. P.; Bouchaud, J. -P.
- Physical Review Letters, Vol. 81, Issue 9
Effects of compression on the vibrational modes of marginally jammed solids
journal, November 2005
- Wyart, Matthieu; Silbert, Leonardo E.; Nagel, Sidney R.
- Physical Review E, Vol. 72, Issue 5
Softening of stressed granular packings with resonant sound waves
journal, August 2015
- Reichhardt, C. J. Olson; Lopatina, L. M.; Jia, X.
- Physical Review E, Vol. 92, Issue 2
Nonlinear Elasticity and Pressure-Dependent Wave Speeds in Granular Media
journal, July 1990
- Goddard, J. D.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 430, Issue 1878
Nonlinear Mesoscopic Elasticity: Evidence for a New Class of Materials
journal, April 1999
- Guyer, Robert A.; Johnson, Paul A.
- Physics Today, Vol. 52, Issue 4
Linear and Nonlinear Elasticity of Granular Media: Stress-Induced Anisotropy of a Random Sphere Pack
journal, June 1998
- Johnson, D. L.; Schwartz, L. M.; Elata, D.
- Journal of Applied Mechanics, Vol. 65, Issue 2
Nonlinear and Nonequilibrium Dynamics in Geomaterials
journal, August 2004
- TenCate, James A.; Pasqualini, Donatella; Habib, Salman
- Physical Review Letters, Vol. 93, Issue 6
Sound in a granular material: Disorder and nonlinearity
journal, December 1993
- Liu, Chu-heng; Nagel, Sidney R.
- Physical Review B, Vol. 48, Issue 21
Influence of rolling friction on single spout fluidized bed simulation
journal, October 2012
- Goniva, Christoph; Kloss, Christoph; Deen, Niels G.
- Particuology, Vol. 10, Issue 5
Elastic weakening of a dense granular pack by acoustic fluidization: Slipping, compaction, and aging
journal, August 2011
- Jia, X.; Brunet, Th.; Laurent, J.
- Physical Review E, Vol. 84, Issue 2
Jamming is not just cool any more
journal, November 1998
- Liu, Andrea J.; Nagel, Sidney R.
- Nature, Vol. 396, Issue 6706
Resonance and elastic nonlinear phenomena in rock
journal, May 1996
- Johnson, Paul A.; Zinszner, Bernard; Rasolofosaon, Patrick N. J.
- Journal of Geophysical Research: Solid Earth, Vol. 101, Issue B5
A discrete numerical model for granular assemblies
journal, March 1979
- Cundall, P. A.; Strack, O. D. L.
- Géotechnique, Vol. 29, Issue 1
Works referencing / citing this record:
Screw‐generated forces in granular media: Experimental, computational, and analytical comparison
journal, January 2019
- Thoesen, Andrew; Ramirez, Sierra; Marvi, Hamid
- AIChE Journal, Vol. 65, Issue 3
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.