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

Abstract

Here, the packing and flow of aspherical frictional particles are studied using discrete element simulations. Particles are superballs with shape |x| s + |y| s + |z| s = 1 that varies from sphere (s = 2) to cube (s = ∞), constructed with an overlapping-sphere model. Both packing fraction, Φ, and coordination number, z, decrease monotonically with microscopic friction μ, for all shapes. However, this decrease is more dramatic for larger s due to a reduction in the fraction of face-face contacts with increasing friction. For flowing grains, the dynamic friction ~μ —the ratio of shear to normal stresses—depends on shape, microscopic friction, and inertial number I . For all shapes, ˜μ grows from its quasistatic value ˜μ 0 as (˜μ - ˜μ 0) = dI α, with different universal behavior for frictional and frictionless shapes. For frictionless shapes the exponent α ≈ 0.5 and prefactor d ≈ 5˜μ 0 while for frictional shapes α ≈ 1 and d varies only slightly. Lastly, the results highlight that the flow exponents are universal and are consistent for all the shapes simulated here.

Authors:
 [1];  [2];  [2];  [2];  [2];  [2];  [3]
  1. Army Research Lab., MD (United States). Aberdeen Proving Ground
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  3. Central New Mexico Community College, Albuquerque, NM (United States). School of Math, Science, and Engineering
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC)
OSTI Identifier:
1483965
Alternate Identifier(s):
OSTI ID: 1481230; OSTI ID: 1485843
Report Number(s):
SAND-2018-2025J; SAND-2018-12681J
Journal ID: ISSN 2470-0045; PLEEE8; 662902
Grant/Contract Number:  
AC04-94AL85000; NA0003525
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Salerno, K. Michael, Bolintineanu, Dan S., Grest, Gary S., Lechman, Jeremy B., Plimpton, Steven J., Srivastava, Ishan, and Silbert, Leonardo E. Effect of shape and friction on the packing and flow of granular materials. United States: N. p., 2018. Web. doi:10.1103/PhysRevE.98.050901.
Salerno, K. Michael, Bolintineanu, Dan S., Grest, Gary S., Lechman, Jeremy B., Plimpton, Steven J., Srivastava, Ishan, & Silbert, Leonardo E. Effect of shape and friction on the packing and flow of granular materials. United States. doi:10.1103/PhysRevE.98.050901.
Salerno, K. Michael, Bolintineanu, Dan S., Grest, Gary S., Lechman, Jeremy B., Plimpton, Steven J., Srivastava, Ishan, and Silbert, Leonardo E. Wed . "Effect of shape and friction on the packing and flow of granular materials". United States. doi:10.1103/PhysRevE.98.050901.
@article{osti_1483965,
title = {Effect of shape and friction on the packing and flow of granular materials},
author = {Salerno, K. Michael and Bolintineanu, Dan S. and Grest, Gary S. and Lechman, Jeremy B. and Plimpton, Steven J. and Srivastava, Ishan and Silbert, Leonardo E.},
abstractNote = {Here, the packing and flow of aspherical frictional particles are studied using discrete element simulations. Particles are superballs with shape |x|s + |y|s + |z|s = 1 that varies from sphere (s = 2) to cube (s = ∞), constructed with an overlapping-sphere model. Both packing fraction, Φ, and coordination number, z, decrease monotonically with microscopic friction μ, for all shapes. However, this decrease is more dramatic for larger s due to a reduction in the fraction of face-face contacts with increasing friction. For flowing grains, the dynamic friction ~μ —the ratio of shear to normal stresses—depends on shape, microscopic friction, and inertial number I . For all shapes, ˜μ grows from its quasistatic value ˜μ0 as (˜μ - ˜μ0) = dIα, with different universal behavior for frictional and frictionless shapes. For frictionless shapes the exponent α ≈ 0.5 and prefactor d ≈ 5˜μ0 while for frictional shapes α ≈ 1 and d varies only slightly. Lastly, the results highlight that the flow exponents are universal and are consistent for all the shapes simulated here.},
doi = {10.1103/PhysRevE.98.050901},
journal = {Physical Review E},
issn = {2470-0045},
number = 5,
volume = 98,
place = {United States},
year = {2018},
month = {11}
}

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Works referenced in this record:

Is Random Close Packing of Spheres Well Defined?
journal, March 2000

  • Torquato, S.; Truskett, T. M.; Debenedetti, P. G.
  • Physical Review Letters, Vol. 84, Issue 10, p. 2064-2067
  • DOI: 10.1103/PhysRevLett.84.2064