Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials
The jamming transition in granular materials is well-known for exhibiting hysteresis, wherein the level of shear stress required to trigger flow is larger than that below which flow stops. Although such behavior is typically modeled as a simple non-monotonic flow rule, the rheology of granular mater...
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| Format: | Article |
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Royal Society of Chemistry (RSC)
2021
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| Online Access: | https://hdl.handle.net/1721.1/132911 |
| _version_ | 1811071192631607296 |
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| author | Mowlavi, Saviz Kamrin, Kenneth N |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Mowlavi, Saviz Kamrin, Kenneth N |
| author_sort | Mowlavi, Saviz |
| collection | MIT |
| description | The jamming transition in granular materials is well-known for exhibiting hysteresis, wherein the level of shear stress required to trigger flow is larger than that below which flow stops. Although such behavior is typically modeled as a simple non-monotonic flow rule, the rheology of granular materials is also nonlocal due to cooperativity at the grain scale, leading for instance to increased strengthening of the flow threshold as system size is reduced. We investigate how these two effects – hysteresis and nonlocality – couple with each other by incorporating non-monotonicity of the flow rule into the nonlocal granular fluidity (NGF) model, a nonlocal constitutive model for granular flows. By artificially tuning the strength of nonlocal diffusion, we demonstrate that both ingredients are key to explaining certain features of the hysteretic transition between flow and arrest. Finally, we assess the ability of the NGF model to quantitatively predict material behavior both around the transition and in the flowing regime, through stress-driven discrete element method (DEM) simulations of flow onset and arrest in various geometries. Along the way, we develop a new methodology to compare deterministic model predictions with the stochastic behavior exhibited by the DEM simulations around the jamming transition. |
| first_indexed | 2024-09-23T08:47:24Z |
| format | Article |
| id | mit-1721.1/132911 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T08:47:24Z |
| publishDate | 2021 |
| publisher | Royal Society of Chemistry (RSC) |
| record_format | dspace |
| spelling | mit-1721.1/1329112022-09-23T14:33:55Z Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials Mowlavi, Saviz Kamrin, Kenneth N Massachusetts Institute of Technology. Department of Mechanical Engineering The jamming transition in granular materials is well-known for exhibiting hysteresis, wherein the level of shear stress required to trigger flow is larger than that below which flow stops. Although such behavior is typically modeled as a simple non-monotonic flow rule, the rheology of granular materials is also nonlocal due to cooperativity at the grain scale, leading for instance to increased strengthening of the flow threshold as system size is reduced. We investigate how these two effects – hysteresis and nonlocality – couple with each other by incorporating non-monotonicity of the flow rule into the nonlocal granular fluidity (NGF) model, a nonlocal constitutive model for granular flows. By artificially tuning the strength of nonlocal diffusion, we demonstrate that both ingredients are key to explaining certain features of the hysteretic transition between flow and arrest. Finally, we assess the ability of the NGF model to quantitatively predict material behavior both around the transition and in the flowing regime, through stress-driven discrete element method (DEM) simulations of flow onset and arrest in various geometries. Along the way, we develop a new methodology to compare deterministic model predictions with the stochastic behavior exhibited by the DEM simulations around the jamming transition. 2021-10-08T17:59:45Z 2021-10-08T17:59:45Z 2021-07 2021-05 Article http://purl.org/eprint/type/JournalArticle 1744-683X 1744-6848 https://hdl.handle.net/1721.1/132911 Mowlavi, Saviz and Ken Kamrin. "Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials." Soft Matter 17 (July 2021): 7359-7375. © 2021 The Royal Society of Chemistry http://dx.doi.org/10.1039/d1sm00659b Soft Matter Creative Commons Attribution Noncommercial 3.0 unported license https://creativecommons.org/licenses/by-nc/3.0/ application/pdf Royal Society of Chemistry (RSC) Royal Society of Chemistry (RSC) |
| spellingShingle | Mowlavi, Saviz Kamrin, Kenneth N Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials |
| title | Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials |
| title_full | Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials |
| title_fullStr | Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials |
| title_full_unstemmed | Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials |
| title_short | Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials |
| title_sort | interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials |
| url | https://hdl.handle.net/1721.1/132911 |
| work_keys_str_mv | AT mowlavisaviz interplaybetweenhysteresisandnonlocalityduringonsetandarrestofflowingranularmaterials AT kamrinkennethn interplaybetweenhysteresisandnonlocalityduringonsetandarrestofflowingranularmaterials |