A new contact detection algorithm for three-dimensional non-spherical particles
A new contact detection algorithm between three-dimensional non-spherical particles in the discrete element method (DEM) is proposed. Houlsby previously proposed the concept of potential particles where an arbitrarily shaped convex particle can be defined using a 2nd degree polynomial function (Houl...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2013
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| _version_ | 1797093232843161600 |
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| author | Boon, C Houlsby, G Utili, S |
| author_facet | Boon, C Houlsby, G Utili, S |
| author_sort | Boon, C |
| collection | OXFORD |
| description | A new contact detection algorithm between three-dimensional non-spherical particles in the discrete element method (DEM) is proposed. Houlsby previously proposed the concept of potential particles where an arbitrarily shaped convex particle can be defined using a 2nd degree polynomial function (Houlsby [1]). The equations in 2-D have been presented and solved using the Newton-Raphson method. Here the necessary mathematics is presented for the 3-D case, which involves non-trivial extensions from 2-D. The polynomial structure of the equations is exploited so that they are second-order cone representable. Second order-cone programmes have been established to be theoretically and practically tractable, and can be solved efficiently using primal-dual interior-point methods (Andersen et al. [13]). Several examples are included in this paper to illustrate the capability of the algorithm to model particles of various shapes. © 2012 Elsevier B.V. |
| first_indexed | 2024-03-07T03:57:20Z |
| format | Journal article |
| id | oxford-uuid:c352efea-bbba-4a57-8e56-353bbf8140a8 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:57:20Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oxford-uuid:c352efea-bbba-4a57-8e56-353bbf8140a82022-03-27T06:15:36ZA new contact detection algorithm for three-dimensional non-spherical particlesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c352efea-bbba-4a57-8e56-353bbf8140a8EnglishSymplectic Elements at Oxford2013Boon, CHoulsby, GUtili, SA new contact detection algorithm between three-dimensional non-spherical particles in the discrete element method (DEM) is proposed. Houlsby previously proposed the concept of potential particles where an arbitrarily shaped convex particle can be defined using a 2nd degree polynomial function (Houlsby [1]). The equations in 2-D have been presented and solved using the Newton-Raphson method. Here the necessary mathematics is presented for the 3-D case, which involves non-trivial extensions from 2-D. The polynomial structure of the equations is exploited so that they are second-order cone representable. Second order-cone programmes have been established to be theoretically and practically tractable, and can be solved efficiently using primal-dual interior-point methods (Andersen et al. [13]). Several examples are included in this paper to illustrate the capability of the algorithm to model particles of various shapes. © 2012 Elsevier B.V. |
| spellingShingle | Boon, C Houlsby, G Utili, S A new contact detection algorithm for three-dimensional non-spherical particles |
| title | A new contact detection algorithm for three-dimensional non-spherical particles |
| title_full | A new contact detection algorithm for three-dimensional non-spherical particles |
| title_fullStr | A new contact detection algorithm for three-dimensional non-spherical particles |
| title_full_unstemmed | A new contact detection algorithm for three-dimensional non-spherical particles |
| title_short | A new contact detection algorithm for three-dimensional non-spherical particles |
| title_sort | new contact detection algorithm for three dimensional non spherical particles |
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