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A spherical-harmonic-based approach to discrete element modeling of 3D irregular particles

Xiang Wang, Zhen‐Yu Yin, Hao Xiong, Dong Su, Yuntian Feng Orcid Logo

International Journal for Numerical Methods in Engineering, Volume: 122, Issue: 20

Swansea University Author: Yuntian Feng Orcid Logo

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DOI (Published version): 10.1002/nme.6766

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 irre...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981 1097-0207
Published: Wiley 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa57503
first_indexed 2021-08-03T09:26:38Z
last_indexed 2021-11-04T04:23:10Z
id cronfa57503
recordtype SURis
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spelling 2021-11-03T13:01:11.4658990 v2 57503 2021-08-03 A spherical-harmonic-based approach to discrete element modeling of 3D irregular particles d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2021-08-03 ACEM 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. Journal Article International Journal for Numerical Methods in Engineering 122 20 Wiley 0029-5981 1097-0207 computational particle mechanics; contact detection and resolution; discrete element method; irregular-shaped particles; spherical harmonics 21 7 2021 2021-07-21 10.1002/nme.6766 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University 2021-11-03T13:01:11.4658990 2021-08-03T10:25:05.5133437 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Xiang Wang 1 Zhen‐Yu Yin 2 Hao Xiong 3 Dong Su 4 Yuntian Feng 0000-0002-6396-8698 5
title A spherical-harmonic-based approach to discrete element modeling of 3D irregular particles
spellingShingle A spherical-harmonic-based approach to discrete element modeling of 3D irregular particles
Yuntian Feng
title_short A spherical-harmonic-based approach to discrete element modeling of 3D irregular particles
title_full A spherical-harmonic-based approach to discrete element modeling of 3D irregular particles
title_fullStr A spherical-harmonic-based approach to discrete element modeling of 3D irregular particles
title_full_unstemmed A spherical-harmonic-based approach to discrete element modeling of 3D irregular particles
title_sort A spherical-harmonic-based approach to discrete element modeling of 3D irregular particles
author_id_str_mv d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Yuntian Feng
author2 Xiang Wang
Zhen‐Yu Yin
Hao Xiong
Dong Su
Yuntian Feng
format Journal article
container_title International Journal for Numerical Methods in Engineering
container_volume 122
container_issue 20
publishDate 2021
institution Swansea University
issn 0029-5981
1097-0207
doi_str_mv 10.1002/nme.6766
publisher Wiley
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 0
active_str 0
description 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.
published_date 2021-07-21T20:03:51Z
_version_ 1821346555676852224
score 11.04748

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