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 |
| Published: |
2013
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| Summary: | 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. |
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