Small-amplitude acoustics in bulk granular media
Name
Henann-2013-Small-amplitude acoustics.pdf
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Author(s)
Valenza, John J.
Johnson, David L.
Henann, David Lee
Kamrin, Kenneth N.
Date Issued
October 2013
Journal
Physical Review E
Publisher
American Physical Society
Citation
Henann, David L., John J. Valenza, David L. Johnson, and Ken Kamrin. “Small-amplitude acoustics in bulk granular media.” Physical Review E 88, no. 4 (October 2013). © 2013 American Physical Society
Version
Final published version
Abstract
We propose and validate a three-dimensional continuum modeling approach that predicts small-amplitude acoustic behavior of dense-packed granular media. The model is obtained through a joint experimental and finite-element study focused on the benchmark example of a vibrated container of grains. Using a three-parameter linear viscoelastic constitutive relation, our continuum model is shown to quantitatively predict the effective mass spectra in this geometry, even as geometric parameters for the environment are varied. Further, the model's predictions for the surface displacement field are validated mode-by-mode against experiment. A primary observation is the importance of the boundary condition between grains and the quasirigid walls.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevE.88.042205
