A new contact detection method for arbitrary dilated polyhedra with potential function in discrete element method

Summary Contact detection significantly affects the computational efficiency of discrete element simulations, especially for irregularly shaped elements. The dilated polyhedron is constructed by the Minkowski sum of a dilated sphere and a core convex polyhedron. One of the greatest advantages of usi...

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Vydané v:International journal for numerical methods in engineering Ročník 121; číslo 24; s. 5742 - 5765
Hlavní autori: Liu, Lu, Ji, Shunying
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Hoboken, USA John Wiley & Sons, Inc 30.12.2020
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Predmet:
Algorithms
contact detection
dilated polyhedron
direct shear test
Discrete element method
Exact solutions
Optimization
Polyhedra
potential function
Shear stress
Shear tests
Simulation
Tessellation
ISSN:0029-5981, 1097-0207
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Popis
Shrnutí:Summary Contact detection significantly affects the computational efficiency of discrete element simulations, especially for irregularly shaped elements. The dilated polyhedron is constructed by the Minkowski sum of a dilated sphere and a core convex polyhedron. One of the greatest advantages of using the dilated polyhedron in contact detection lies in its ability to be solved by calculating the nearest distance between corresponding core polyhedra. The approximate envelope function (AEF) of a dilated polyhedron is formed by the weighted summation of the second‐order dilated function of the polyhedral and spherical functions. The AEF can be used to represent the element in the optimization model for the contact center. Geometric calculations are then employed for the contact points on the core polyhedron, whereupon the contact detection is solved. The accuracy and stability of the proposed method by a 3‐D Voronoi tessellation are validated using analytical solutions and previously published simulation results. The efficiency tests show that the speedup of the CPU‐based multithread algorithm can reach 14 on a desktop. The direct shear test of the Voronoi shaped ballast is analyzed by this method. The shear stress under different vertical pressure is compared with previously published experimental and simulated results.
Bibliografia:Funding information
National Key Research and Development Program of China, 2016YFC1401505; 2016YFC1402706; 2018YFA0605902; National Natural Science Foundation of China, 41576179; 51639004
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content type line 14
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.6522