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A generic contact detection framework for cylindrical particles in discrete element modelling

Yuntian Feng Orcid Logo, K. Han, Roger Owen Orcid Logo

Computer Methods in Applied Mechanics and Engineering, Volume: 315, Pages: 632 - 651

Swansea University Authors: Yuntian Feng Orcid Logo, Roger Owen Orcid Logo

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DOI (Published version): 10.1016/j.cma.2016.11.001

Abstract

This paper aims to develop a generic framework for detecting contact between cylindrical particles in discrete element modelling based on a full exploitation of the axi-symmetrical property of cylinders. The main contributions include: (1) A four-parameter based local representative system is derive...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa30913
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spelling 2021-01-21T09:20:01.8894106 v2 30913 2016-11-03 A generic contact detection framework for cylindrical particles in discrete element modelling d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 0303b9485caf6fbc8787397a5d926d1c 0000-0003-2471-0544 Roger Owen Roger Owen true false 2016-11-03 CIVL This paper aims to develop a generic framework for detecting contact between cylindrical particles in discrete element modelling based on a full exploitation of the axi-symmetrical property of cylinders. The main contributions include: (1) A four-parameter based local representative system is derived to describe the spatial relationship between two cylinders so that the 3D cylinder-cylinder intersection problem can be reduced to a series of 2D circle-ellipse intersections, which considerably simplifies the contact detection procedure. (2) A two-stage contact detection scheme is proposed in which no-overlap contact pairs are identified in the first overlap check stage, and then the actual overlap region is determined in the second resolution stage and represented by two schemes: the layered representation which is generic, and the edge representation which is numerically more efficient but less accurate. (3) The most significant contribution is the development of two theorems that establish a fundamental relationship between the contact point and contact normal of two contacting cylinders, offering a simple approach to determining the normal direction based on the contact point and vice versa. These theorems are valid not only for cylinders, but also for any axi-symmetrical shapes and their combinations. Some numerical issues are discussed. Numerical examples are presented to illustrate the capability and applicability of the proposed methodologies. Journal Article Computer Methods in Applied Mechanics and Engineering 315 632 651 0045-7825 1 3 2017 2017-03-01 10.1016/j.cma.2016.11.001 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2021-01-21T09:20:01.8894106 2016-11-03T11:13:01.8359863 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Yuntian Feng 0000-0002-6396-8698 1 K. Han 2 Roger Owen 0000-0003-2471-0544 3 0030913-14112016085724.pdf feng2016(5).pdf 2016-11-14T08:57:24.3630000 Output 9207114 application/pdf Accepted Manuscript true 2017-11-11T00:00:00.0000000 false
title A generic contact detection framework for cylindrical particles in discrete element modelling
spellingShingle A generic contact detection framework for cylindrical particles in discrete element modelling
Yuntian Feng
Roger Owen
title_short A generic contact detection framework for cylindrical particles in discrete element modelling
title_full A generic contact detection framework for cylindrical particles in discrete element modelling
title_fullStr A generic contact detection framework for cylindrical particles in discrete element modelling
title_full_unstemmed A generic contact detection framework for cylindrical particles in discrete element modelling
title_sort A generic contact detection framework for cylindrical particles in discrete element modelling
author_id_str_mv d66794f9c1357969a5badf654f960275
0303b9485caf6fbc8787397a5d926d1c
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
0303b9485caf6fbc8787397a5d926d1c_***_Roger Owen
author Yuntian Feng
Roger Owen
author2 Yuntian Feng
K. Han
Roger Owen
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 315
container_start_page 632
publishDate 2017
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2016.11.001
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 1
active_str 0
description This paper aims to develop a generic framework for detecting contact between cylindrical particles in discrete element modelling based on a full exploitation of the axi-symmetrical property of cylinders. The main contributions include: (1) A four-parameter based local representative system is derived to describe the spatial relationship between two cylinders so that the 3D cylinder-cylinder intersection problem can be reduced to a series of 2D circle-ellipse intersections, which considerably simplifies the contact detection procedure. (2) A two-stage contact detection scheme is proposed in which no-overlap contact pairs are identified in the first overlap check stage, and then the actual overlap region is determined in the second resolution stage and represented by two schemes: the layered representation which is generic, and the edge representation which is numerically more efficient but less accurate. (3) The most significant contribution is the development of two theorems that establish a fundamental relationship between the contact point and contact normal of two contacting cylinders, offering a simple approach to determining the normal direction based on the contact point and vice versa. These theorems are valid not only for cylinders, but also for any axi-symmetrical shapes and their combinations. Some numerical issues are discussed. Numerical examples are presented to illustrate the capability and applicability of the proposed methodologies.
published_date 2017-03-01T03:37:41Z
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score 11.013148

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