A finite element implementation of the nonlocal granular rheology
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HenannKamrin_Manuscript.pdf
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Author(s)
Henann, David L.
Kamrin, Kenneth N
Date Issued
September 2016
Journal
International Journal for Numerical Methods in Engineering
Publisher
Wiley-Blackwell
Citation
Henann, David L., and Kamrin, Ken. “A Finite Element Implementation of the Nonlocal Granular Rheology.” International Journal for Numerical Methods in Engineering 108, 4 (February 2016): 273–302 © 2016 John Wiley & Sons, Ltd
Version
Author's final manuscript
Abstract
Inhomogeneous flows involving dense particulate media display clear size effects, in which the particle length scale has an important effect on flow fields. Hence, nonlocal constitutive relations must be used in order to predict these flows. Recently, a class of nonlocal fluidity models has been developed for emulsions and subsequently adapted to granular materials. These models have successfully provided a quantitative description of experimental flows in many different flow configurations. In this work, we present a finite element-based numerical approach for solving the nonlocal constitutive equations for granular materials, which involve an additional, non-standard nodal degree-of-freedom – the granular fluidity, which is a scalar state parameter describing the susceptibility of a granular element to flow. Our implementation is applied to three canonical inhomogeneous flow configurations: (1) linear shear with gravity, (2) annular shear flow without gravity, and (3) annular shear flow with gravity. We verify our implementation, demonstrate convergence, and show that our results are mesh independent.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1002/NME.5213
