A Discrete Element Method for Irregular Granular Materials Based on Multi-Dilated Polyhedron Elements

LI Dianzhe; LIU Lu; JI Shunying

doi:10.21656/1000-0887.430152

Volume 44 Issue 7

Jul. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(7): 769-783

LI Dianzhe, LIU Lu, JI Shunying. A Discrete Element Method for Irregular Granular Materials Based on Multi-Dilated Polyhedron Elements[J]. Applied Mathematics and Mechanics, 2023, 44(7): 769-783. doi: 10.21656/1000-0887.430152

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A Discrete Element Method for Irregular Granular Materials Based on Multi-Dilated Polyhedron Elements

doi: 10.21656/1000-0887.430152

State Key Laboratory of Structure Analysis of Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

Received Date: 2022-05-01
Rev Recd Date: 2022-06-30
Publish Date: 2023-07-01

Abstract

Abstract

Irregular granular materials are widely available in nature and industrial fields. To construct a theoretical model closer to the real granular materials, a multi-dilated polyhedron model based on the dilated polyhedron element was developed. To verify the reliability of the multi-dilated polyhedron model, the discharge processes of the convex triangular prism particles and concave upward-downward conical particles in the flat bottom hopper were simulated and compared with experimental results, to show good consistency. Besides, the piling and discharge process of differently shaped multi-dilated polyhedron particles were simulated. Furthermore, the effects of particle shapes on the piling fractions, mass flow rates and angles of repose were discussed. The results indicate that, given a more complex particle shape, the interlocking between particles will be stronger, thereby the stability of the granular system will be higher. The effective application of multi-dilated polyhedron elements provides a new model-building method for irregular granular materials.
- discrete element method,
- multi-dilated polyhedron particle,
- combined element,
- irregular granular material

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