title: Intersecting dilated convex polyhedra method for modeling complex particles in discrete element method.
abstract: This paper describes a new method for representing concave polyhedral particles in a discrete element method as unions of convex dilated polyhedra. This method offers an efficient way to simulate systems with a large number of (generally concave) polyhedral particles. The method also allows spheres, capsules, and dilated triangles to be combined with polyhedra using the same approach. The computational efficiency of the method is tested in two different simulation setups using different efficiency metrics for seven particle types: spheres, clusters of three spheres, clusters of four spheres, tetrahedra, cubes, unions of two octahedra (concave), and a model of a computer tomography scan of a lunar simulant GRC-3 particle. It is shown that the computational efficiency of the simulations degrades much slower than the increase in complexity of the particles in the system. The efficiency of the method is based on the time coherence of the system, and an efficient and robust distance computation method between polyhedra as particles never intersect for dilated particles.
authors: Institute of Northern Engineering, University of Alaska Fairbanks Fairbanks, AK 755910, U.S.A.
authors: Ben
authors: B
authors: Nye
authors: Institute of Northern Engineering, University of Alaska Fairbanks Fairbanks, AK 755910, U.S.A.
authors: Anton V
authors: AV
authors: Kulchitsky
authors: Institute of Northern Engineering, University of Alaska Fairbanks Fairbanks, AK 755910, U.S.A.
authors: Jerome B
authors: JB
authors: Johnson
keywords: concave particles; dilated particles; discrete element method; granular materials; polyhedral particles; shape of elements