Continuum modelling and simulation of granular flows through their many phases
We propose and numerically implement a constitutive framework for granular media that allows the material to traverse through its many common phases during the flow process. When dense, the material is treated as a pressure-sensitive elasto-viscoplastic solid obeying a yield criterion and a plastic...
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| Format: | Article |
| Language: | en_US |
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Cambridge University Press
2017
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| Online Access: | http://hdl.handle.net/1721.1/107838 https://orcid.org/0000-0001-8893-0197 https://orcid.org/0000-0002-5154-9787 |
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| author | Dunatunga, Sachith Anurudde Kamrin, Kenneth N |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Dunatunga, Sachith Anurudde Kamrin, Kenneth N |
| author_sort | Dunatunga, Sachith Anurudde |
| collection | MIT |
| description | We propose and numerically implement a constitutive framework for granular media that allows the material to traverse through its many common phases during the flow process. When dense, the material is treated as a pressure-sensitive elasto-viscoplastic solid obeying a yield criterion and a plastic flow rule given by the μ(I)
inertial rheology of granular materials. When the free volume exceeds a critical level, the material is deemed to separate and is treated as disconnected, stress-free media. A material point method (MPM) procedure is written for the simulation of this model and many demonstrations are provided in different geometries, which highlight the ability of the numerical model to handle transitions through dense and disconnected states. By using the MPM framework, extremely large strains and nonlinear deformations, which are common in granular flows, are representable. The method is verified numerically and its physical predictions are validated against many known experimental phenomena, such as Beverloo’s scaling in silo flows, jointed power-law scaling of the run-out distance in granular-column-collapse problems, and various known behaviours in inclined chute flows. |
| first_indexed | 2024-09-23T10:46:51Z |
| format | Article |
| id | mit-1721.1/107838 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:46:51Z |
| publishDate | 2017 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | mit-1721.1/1078382022-09-30T22:58:32Z Continuum modelling and simulation of granular flows through their many phases Dunatunga, Sachith Anurudde Kamrin, Kenneth N Massachusetts Institute of Technology. Department of Mechanical Engineering Dunatunga, Sachith Anurudde Kamrin, Kenneth N We propose and numerically implement a constitutive framework for granular media that allows the material to traverse through its many common phases during the flow process. When dense, the material is treated as a pressure-sensitive elasto-viscoplastic solid obeying a yield criterion and a plastic flow rule given by the μ(I) inertial rheology of granular materials. When the free volume exceeds a critical level, the material is deemed to separate and is treated as disconnected, stress-free media. A material point method (MPM) procedure is written for the simulation of this model and many demonstrations are provided in different geometries, which highlight the ability of the numerical model to handle transitions through dense and disconnected states. By using the MPM framework, extremely large strains and nonlinear deformations, which are common in granular flows, are representable. The method is verified numerically and its physical predictions are validated against many known experimental phenomena, such as Beverloo’s scaling in silo flows, jointed power-law scaling of the run-out distance in granular-column-collapse problems, and various known behaviours in inclined chute flows. 2017-04-04T15:28:13Z 2017-04-04T15:28:13Z 2015-08 2015-04 Article http://purl.org/eprint/type/JournalArticle 0022-1120 1469-7645 http://hdl.handle.net/1721.1/107838 Dunatunga, Sachith, and Ken Kamrin. “Continuum Modelling and Simulation of Granular Flows through Their Many Phases.” Journal of Fluid Mechanics 779 (August 18, 2015): 483–513. https://orcid.org/0000-0001-8893-0197 https://orcid.org/0000-0002-5154-9787 en_US http://dx.doi.org/10.1017/jfm.2015.383 Journal of Fluid Mechanics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Cambridge University Press arXiv |
| spellingShingle | Dunatunga, Sachith Anurudde Kamrin, Kenneth N Continuum modelling and simulation of granular flows through their many phases |
| title | Continuum modelling and simulation of granular flows through their many phases |
| title_full | Continuum modelling and simulation of granular flows through their many phases |
| title_fullStr | Continuum modelling and simulation of granular flows through their many phases |
| title_full_unstemmed | Continuum modelling and simulation of granular flows through their many phases |
| title_short | Continuum modelling and simulation of granular flows through their many phases |
| title_sort | continuum modelling and simulation of granular flows through their many phases |
| url | http://hdl.handle.net/1721.1/107838 https://orcid.org/0000-0001-8893-0197 https://orcid.org/0000-0002-5154-9787 |
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