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An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model

Y.T. Feng, Yuntian Feng Orcid Logo

Computer Methods in Applied Mechanics and Engineering, Volume: 373, Start page: 113454

Swansea University Author: Yuntian Feng Orcid Logo

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DOI (Published version): 10.1016/j.cma.2020.113454

Abstract

The first paper of this series establishes a unified theoretical framework that lays a solid foundation for developing energy-conserving normal contact models for arbitrarily shaped bodies in the discrete element method. It is derived based solely on the requirement that the potential energy must be...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa55242
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spelling 2021-12-02T11:32:57.3710806 v2 55242 2020-09-22 An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2020-09-22 CIVL The first paper of this series establishes a unified theoretical framework that lays a solid foundation for developing energy-conserving normal contact models for arbitrarily shaped bodies in the discrete element method. It is derived based solely on the requirement that the potential energy must be conserved for an elastic impact of two shapes under any condition. The resulting general energy-conserving contact model states that the normal force as a vector must be the gradient of a contact potential field. When such a contact potential or energy function is specified, a complete normal contact model for a pair of arbitrarily shaped particles, including the contact normal direction, contact point/line and force magnitude, will be automatically followed without introducing any additional assumptions. In this framework, the contact geometry and contact force are indispensably related and are evaluated in a consistent manner. Due to the paramount role that the energy function plays in the current theory, its fundamental properties are discussed, which serve as general guidance for choosing a valid energy function. In addition, both single and multiple contacts and their evolution can be handled in a seamless way. Some symmetric properties of particle shapes can also be utilised to simplify the contact models.Within the proposed theoretical framework, different choices or combinations of geometric features as variables for the contact energy function can give rise to unique types of energy-conserving contact models with distinct characteristics and features. Two such functions using only one primary feature, which lead to two specialised energy-conserving contact models, will be presented in the subsequent papers of this series. Journal Article Computer Methods in Applied Mechanics and Engineering 373 113454 Elsevier BV 0045-7825 Discrete element, Unified contact theory, Convex and concave shapes, Energy-conserving contact model, Multiple contacts 1 1 2021 2021-01-01 10.1016/j.cma.2020.113454 http://dx.doi.org/10.1016/j.cma.2020.113454 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2021-12-02T11:32:57.3710806 2020-09-22T12:25:01.5858281 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Y.T. Feng 1 Yuntian Feng 0000-0002-6396-8698 2 55242__18225__6b88ad942b234478b5c52bd05692719c.pdf 55242.pdf 2020-09-22T12:35:14.7848956 Output 910454 application/pdf Accepted Manuscript true 2021-10-05T00:00:00.0000000 ©2020 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND) true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model
spellingShingle An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model
Yuntian Feng
title_short An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model
title_full An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model
title_fullStr An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model
title_full_unstemmed An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model
title_sort An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model
author_id_str_mv d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Yuntian Feng
author2 Y.T. Feng
Yuntian Feng
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 373
container_start_page 113454
publishDate 2021
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2020.113454
publisher Elsevier BV
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
url http://dx.doi.org/10.1016/j.cma.2020.113454
document_store_str 1
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description The first paper of this series establishes a unified theoretical framework that lays a solid foundation for developing energy-conserving normal contact models for arbitrarily shaped bodies in the discrete element method. It is derived based solely on the requirement that the potential energy must be conserved for an elastic impact of two shapes under any condition. The resulting general energy-conserving contact model states that the normal force as a vector must be the gradient of a contact potential field. When such a contact potential or energy function is specified, a complete normal contact model for a pair of arbitrarily shaped particles, including the contact normal direction, contact point/line and force magnitude, will be automatically followed without introducing any additional assumptions. In this framework, the contact geometry and contact force are indispensably related and are evaluated in a consistent manner. Due to the paramount role that the energy function plays in the current theory, its fundamental properties are discussed, which serve as general guidance for choosing a valid energy function. In addition, both single and multiple contacts and their evolution can be handled in a seamless way. Some symmetric properties of particle shapes can also be utilised to simplify the contact models.Within the proposed theoretical framework, different choices or combinations of geometric features as variables for the contact energy function can give rise to unique types of energy-conserving contact models with distinct characteristics and features. Two such functions using only one primary feature, which lead to two specialised energy-conserving contact models, will be presented in the subsequent papers of this series.
published_date 2021-01-01T04:09:19Z
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score 11.037056

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