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Transition dynamics and magic-number-like behavior of frictional granular clusters.

Publication ,  Journal Article
Tordesillas, A; Walker, DM; Froyland, G; Zhang, J; Behringer, RP
Published in: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
July 2012

Force chains, the primary load-bearing structures in dense granular materials, rearrange in response to applied stresses and strains. These self-organized grain columns rely on contacts from weakly stressed grains for lateral support to maintain and find new stable states. However, the dynamics associated with the regulation of the topology of contacts and strong versus weak forces through such contacts remains unclear. This study of local self-organization of frictional particles in a deforming dense granular material exploits a transition matrix to quantify preferred conformations and the most likely conformational transitions. It reveals that favored cluster conformations reside in distinct stability states, reminiscent of "magic numbers" for molecular clusters. To support axial loads, force chains typically reside in more stable states of the stability landscape, preferring stabilizing trusslike, three-cycle contact triangular topologies with neighboring grains. The most likely conformational transitions during force chain failure by buckling correspond to rearrangements among, or loss of, contacts which break the three-cycle topology.

Published In

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

July 2012

Volume

86

Issue

1 Pt 1

Start / End Page

011306

Related Subject Headings

  • Shear Strength
  • Rheology
  • Phase Transition
  • Models, Molecular
  • Models, Chemical
  • Friction
  • Fluids & Plasmas
  • Computer Simulation
  • Colloids
  • 09 Engineering
 

Citation

APA
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ICMJE
MLA
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Tordesillas, A., Walker, D. M., Froyland, G., Zhang, J., & Behringer, R. P. (2012). Transition dynamics and magic-number-like behavior of frictional granular clusters. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 86(1 Pt 1), 011306. https://doi.org/10.1103/physreve.86.011306
Tordesillas, Antoinette, David M. Walker, Gary Froyland, Jie Zhang, and Robert P. Behringer. “Transition dynamics and magic-number-like behavior of frictional granular clusters.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 86, no. 1 Pt 1 (July 2012): 011306. https://doi.org/10.1103/physreve.86.011306.
Tordesillas A, Walker DM, Froyland G, Zhang J, Behringer RP. Transition dynamics and magic-number-like behavior of frictional granular clusters. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics. 2012 Jul;86(1 Pt 1):011306.
Tordesillas, Antoinette, et al. “Transition dynamics and magic-number-like behavior of frictional granular clusters.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 86, no. 1 Pt 1, July 2012, p. 011306. Epmc, doi:10.1103/physreve.86.011306.
Tordesillas A, Walker DM, Froyland G, Zhang J, Behringer RP. Transition dynamics and magic-number-like behavior of frictional granular clusters. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics. 2012 Jul;86(1 Pt 1):011306.

Published In

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

July 2012

Volume

86

Issue

1 Pt 1

Start / End Page

011306

Related Subject Headings

  • Shear Strength
  • Rheology
  • Phase Transition
  • Models, Molecular
  • Models, Chemical
  • Friction
  • Fluids & Plasmas
  • Computer Simulation
  • Colloids
  • 09 Engineering