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A new contact detection algorithm for three-dimensional non-spherical particles
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Boon, Chia Weng, Houlsby, G. T. and Utili, Stefano (2013) A new contact detection algorithm for three-dimensional non-spherical particles. Powder technology, 248 . pp. 94-102. doi:10.1016/j.powtec.2012.12.040 ISSN 0032-5910.
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Official URL: http://dx.doi.org/10.1016/j.powtec.2012.12.040
Abstract
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.
Item Type: | Journal Article | ||||||
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Subjects: | T Technology > TA Engineering (General). Civil engineering (General) | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||
Library of Congress Subject Headings (LCSH): | Granular materials, Polyhedra, Discrete element method | ||||||
Journal or Publication Title: | Powder technology | ||||||
Publisher: | Elsevier Science SA | ||||||
ISSN: | 0032-5910 | ||||||
Official Date: | November 2013 | ||||||
Dates: |
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Volume: | 248 | ||||||
Number of Pages: | 9 | ||||||
Page Range: | pp. 94-102 | ||||||
DOI: | 10.1016/j.powtec.2012.12.040 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 30 December 2015 | ||||||
Date of first compliant Open Access: | 30 December 2015 |
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