Deformation of granular materials is often characterized by strain localization in the form of shear bands, which exhibit a characteristic width of about 10–20 particle diameters. Much of the relative motion of particles within a shear band is accompanied by rolling, as opposed to sliding, since the latter requires more dissipative work. However, in a densely packed assembly, rolling cannot be accomplished without some sliding. This dissipative constraint implies a characteristic rotation transmission distance, i.e., the distance to which the information about rotation of a particle propagates. Here, we use the discrete element method to investigate this length and its directional dependence as function of the force chain network. We found that the rotation transmission distance correlates with the shear band width observed in experiments and previous numerical simulations. It is strongly dependent on the particle size distribution and the coefficient of interparticle friction, and weakly dependent on pressure. Moreover, the transmission of rotations is strongly directionally dependent following the pattern of force chains. To describe this dependence, we define a nonlocal tensorial description of force chain directionality.
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Length Scale for Transmission of Rotations in Dense Granular Materials
Jagan M. Padbidri,
Jagan M. Padbidri
George W. Woodruff School of Mechanical Engineering
, Georgia Institute of Technology
, Atlanta, GA, 30332 e-mail:
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Carly M. Hansen,
Carly M. Hansen
Texas Lutheran University
, Seguin, TX, 78155 e-mail:
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Sinisa Dj. Mesarovic,
Sinisa Dj. Mesarovic
Associate Professor,
School of Mechanical and Materials Engineering
, Washington State University
, Pullman, WA, 99164 e-mail:
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Balasingam Muhunthan
Balasingam Muhunthan
Professor,Department of Civil and Environmental Engineering,
Washington State University
, Pullman, WA, 99164 e-mail:
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Jagan M. Padbidri
George W. Woodruff School of Mechanical Engineering
, Georgia Institute of Technology
, Atlanta, GA, 30332 e-mail:
Carly M. Hansen
Texas Lutheran University
, Seguin, TX, 78155 e-mail:
Sinisa Dj. Mesarovic
Associate Professor,
School of Mechanical and Materials Engineering
, Washington State University
, Pullman, WA, 99164 e-mail:
Balasingam Muhunthan
Professor,Department of Civil and Environmental Engineering,
Washington State University
, Pullman, WA, 99164 e-mail: J. Appl. Mech. May 2012, 79(3): 031011 (9 pages)
Published Online: April 5, 2012
Article history
Received:
July 8, 2011
Revised:
January 16, 2012
Posted:
February 6, 2012
Published:
April 4, 2012
Online:
April 5, 2012
Citation
Padbidri, J. M., Hansen, C. M., Mesarovic, S. D., and Muhunthan, B. (April 5, 2012). "Length Scale for Transmission of Rotations in Dense Granular Materials." ASME. J. Appl. Mech. May 2012; 79(3): 031011. https://doi.org/10.1115/1.4005887
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