Capturing transient granular rheology with extended fabric tensor relations
We present an improved continuum model for transient processes in granular simple shearing, which predicts the coupled evolution of the effective friction coefficient and fabric tensor. Specifically, the model gives the transient strength associated to the kinematics and the structure of the granula...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Springer Science and Business Media LLC
2020
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| Online Access: | https://hdl.handle.net/1721.1/128625 |
| _version_ | 1811085254773964800 |
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| author | Rojas Parra, Eduardo Kamrin, Kenneth N |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Rojas Parra, Eduardo Kamrin, Kenneth N |
| author_sort | Rojas Parra, Eduardo |
| collection | MIT |
| description | We present an improved continuum model for transient processes in granular simple shearing, which predicts the coupled evolution of the effective friction coefficient and fabric tensor. Specifically, the model gives the transient strength associated to the kinematics and the structure of the granular media for the quasi-static regime. The results of the continuum model were compared against molecular dynamic simulations. The comparison for the modulus and the angle of the principal directions of the fabric tensor showed a very good agreement for all the cases analyzed. The new fabric evolution model is capable of capturing the abrupt fall in the fabric modulus and in the effective friction coefficient at the beginning of reversal processes, when the network is destroyed. The model also predicts the right spin direction of the fabric angle, when the force chains move from one steady state to another, during reversal. Improvement in modeling the stress is obtained by relating the friction coefficient to the fabric and the unit shear rate tensors. ©2019, Springer-Verlag GmbH Germany, part of Springer Nature. |
| first_indexed | 2024-09-23T13:06:02Z |
| format | Article |
| id | mit-1721.1/128625 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:06:02Z |
| publishDate | 2020 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1286252022-09-28T12:01:06Z Capturing transient granular rheology with extended fabric tensor relations Rojas Parra, Eduardo Kamrin, Kenneth N Massachusetts Institute of Technology. Department of Mechanical Engineering We present an improved continuum model for transient processes in granular simple shearing, which predicts the coupled evolution of the effective friction coefficient and fabric tensor. Specifically, the model gives the transient strength associated to the kinematics and the structure of the granular media for the quasi-static regime. The results of the continuum model were compared against molecular dynamic simulations. The comparison for the modulus and the angle of the principal directions of the fabric tensor showed a very good agreement for all the cases analyzed. The new fabric evolution model is capable of capturing the abrupt fall in the fabric modulus and in the effective friction coefficient at the beginning of reversal processes, when the network is destroyed. The model also predicts the right spin direction of the fabric angle, when the force chains move from one steady state to another, during reversal. Improvement in modeling the stress is obtained by relating the friction coefficient to the fabric and the unit shear rate tensors. ©2019, Springer-Verlag GmbH Germany, part of Springer Nature. NSF Grant (CBET-1706193) 2020-11-24T17:30:13Z 2020-11-24T17:30:13Z 2019-08 2019-03 2020-07-21T18:44:09Z Article http://purl.org/eprint/type/JournalArticle 1434-7636 https://hdl.handle.net/1721.1/128625 Rojas Parra, Eduardo and Ken Kamrin, "Capturing transient granular rheology with extended fabric tensor relations." Granular Matter 21, 4 (August 2019): 89 doi. 10.1007/s10035-019-0948-9 ©2019 Authors en https://dx.doi.org/10.1007/S10035-019-0948-9 Granular Matter Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer Science and Business Media LLC Other repository |
| spellingShingle | Rojas Parra, Eduardo Kamrin, Kenneth N Capturing transient granular rheology with extended fabric tensor relations |
| title | Capturing transient granular rheology with extended fabric tensor relations |
| title_full | Capturing transient granular rheology with extended fabric tensor relations |
| title_fullStr | Capturing transient granular rheology with extended fabric tensor relations |
| title_full_unstemmed | Capturing transient granular rheology with extended fabric tensor relations |
| title_short | Capturing transient granular rheology with extended fabric tensor relations |
| title_sort | capturing transient granular rheology with extended fabric tensor relations |
| url | https://hdl.handle.net/1721.1/128625 |
| work_keys_str_mv | AT rojasparraeduardo capturingtransientgranularrheologywithextendedfabrictensorrelations AT kamrinkennethn capturingtransientgranularrheologywithextendedfabrictensorrelations |