Small-amplitude acoustics in bulk granular media
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. Usin...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Physical Society
2014
|
| Online Access: | http://hdl.handle.net/1721.1/84923 https://orcid.org/0000-0002-5154-9787 |
| _version_ | 1811089692383248384 |
|---|---|
| author | Valenza, John J. Johnson, David L. Henann, David Lee Kamrin, Kenneth N. |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Valenza, John J. Johnson, David L. Henann, David Lee Kamrin, Kenneth N. |
| author_sort | Valenza, John J. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:23:12Z |
| format | Article |
| id | mit-1721.1/84923 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:23:12Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/849232022-10-01T20:59:55Z Small-amplitude acoustics in bulk granular media Valenza, John J. Johnson, David L. Henann, David Lee Kamrin, Kenneth N. Massachusetts Institute of Technology. Department of Mechanical Engineering Henann, David Lee Kamrin, Kenneth N. 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. Schlumberger-Doll Research Center 2014-02-10T17:31:04Z 2014-02-10T17:31:04Z 2013-10 2013-10 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/84923 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 https://orcid.org/0000-0002-5154-9787 en_US http://dx.doi.org/10.1103/PhysRevE.88.042205 Physical Review E 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. application/pdf American Physical Society American Physical Society |
| spellingShingle | Valenza, John J. Johnson, David L. Henann, David Lee Kamrin, Kenneth N. Small-amplitude acoustics in bulk granular media |
| title | Small-amplitude acoustics in bulk granular media |
| title_full | Small-amplitude acoustics in bulk granular media |
| title_fullStr | Small-amplitude acoustics in bulk granular media |
| title_full_unstemmed | Small-amplitude acoustics in bulk granular media |
| title_short | Small-amplitude acoustics in bulk granular media |
| title_sort | small amplitude acoustics in bulk granular media |
| url | http://hdl.handle.net/1721.1/84923 https://orcid.org/0000-0002-5154-9787 |
| work_keys_str_mv | AT valenzajohnj smallamplitudeacousticsinbulkgranularmedia AT johnsondavidl smallamplitudeacousticsinbulkgranularmedia AT henanndavidlee smallamplitudeacousticsinbulkgranularmedia AT kamrinkennethn smallamplitudeacousticsinbulkgranularmedia |