A spherical‐harmonic‐based approach to discrete element modeling of 3D irregular particles. (21st July 2021)

• Record Type: Journal Article
• Authors: Wang, Xiang; Yin, Zhen‐Yu; Xiong, Hao; Su, Dong; Feng, Yun‐Tian
• Is Part Of: International journal for numerical methods in engineering. Volume 122:Number 20(2021)
• Page Start: 5626
• Page End: 5655
• Publication Date: 2021-07-21
• Subjects: computational particle mechanics -- contact detection and resolution -- discrete element method -- irregular‐shaped particles -- spherical harmonics; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.6766
• Languages: English
• ISSNs: 0029-5981

Abstract

Abstract: Different from previous discrete element methods (DEM), where irregular 3D particle shapes are approximated by subspheres, vertices, or voxels, this study aims to develop an innovative and computationally effective DEM method directly employing spherical harmonic functions for simulations of 3D irregular‐shaped particles. First, the discrete surface points of a 3D irregular‐shaped particle are represented by spherical harmonic functions with only a limited number of harmonic coefficients to restore the particle morphology. Then, the intrinsic physical quantities are computed directly using spherical harmonic functions. Next, specific algorithms for interparticle overlapping detection and contact resolution involving the spherical harmonic functions are developed. Subsequently, the interparticle contact forces, moments, and particle movements are computed. The feasibility and capability of the proposed 3D method are verified by simulating random deposition of superellipsoids, repose angle tests, and triaxial tests on particles with various shapes. The proposed method could pave a viable pathway for realistic modeling of granular media pertaining to various engineering and industrial processes.