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Stochastic discrete element modelling of rough particles-a random normal interaction law

Yuntian Feng Orcid Logo, Ting-ting Zhao, Chun Katao, Wei Zhou

Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, Volume: 33, Issue: 4, Pages: 629 - 636

Swansea University Author: Yuntian Feng Orcid Logo

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DOI (Published version): 10.7511/jslx201604032

Abstract

Particles are assumed smooth in classical discrete element modelling, but real particles have random rough surfaces which may influence their mechanical properties. It is necessary therefore to quantitatively improve the conventional discrete element model particles by taking their surface roughness...

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Published in: Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics
ISSN: 1007-4708
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa30128
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first_indexed 2016-09-20T19:03:00Z
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spelling 2017-07-07T12:35:22.7207138 v2 30128 2016-09-20 Stochastic discrete element modelling of rough particles-a random normal interaction law d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2016-09-20 CIVL Particles are assumed smooth in classical discrete element modelling, but real particles have random rough surfaces which may influence their mechanical properties. It is necessary therefore to quantitatively improve the conventional discrete element model particles by taking their surface roughness into consideration. In this work, a new random normal contact law is established for particles that have random rough surfaces. The contact law, based on the classic Greenwood and Williamson (GW) model, is derived by both theoretical derivation and numerical simulation. A Newton-Raphson based numerical solution procedure is proposed to obtain the total contact force for a given overlap and a set of rough surface parameters. Some related computational issues key to improve computational efficiency and accuracy are addressed. Instead of a complicated integral expression involved in the GW model, the curve fitted empirical formula of the random contact law retains the closed form and simplicity of the Hertz model, with only one added parameter, σ, the standard deviation of the surface roughness, and therefore can be readily incorporated into the current discrete element modelling framework. © 2016, Editorial Office of Chinese Journal of Computational Mechanics. All right reserved. Journal Article Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics 33 4 629 636 1007-4708 1 8 2016 2016-08-01 10.7511/jslx201604032 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2017-07-07T12:35:22.7207138 2016-09-20T15:01:01.5565879 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Yuntian Feng 0000-0002-6396-8698 1 Ting-ting Zhao 2 Chun Katao 3 Wei Zhou 4 0030128-17102016090735.pdf feng2016.pdf 2016-10-17T09:07:35.8070000 Output 2172080 application/pdf Version of Record true 2016-10-17T00:00:00.0000000 false
title Stochastic discrete element modelling of rough particles-a random normal interaction law
spellingShingle Stochastic discrete element modelling of rough particles-a random normal interaction law
Yuntian Feng
title_short Stochastic discrete element modelling of rough particles-a random normal interaction law
title_full Stochastic discrete element modelling of rough particles-a random normal interaction law
title_fullStr Stochastic discrete element modelling of rough particles-a random normal interaction law
title_full_unstemmed Stochastic discrete element modelling of rough particles-a random normal interaction law
title_sort Stochastic discrete element modelling of rough particles-a random normal interaction law
author_id_str_mv d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Yuntian Feng
author2 Yuntian Feng
Ting-ting Zhao
Chun Katao
Wei Zhou
format Journal article
container_title Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics
container_volume 33
container_issue 4
container_start_page 629
publishDate 2016
institution Swansea University
issn 1007-4708
doi_str_mv 10.7511/jslx201604032
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 Particles are assumed smooth in classical discrete element modelling, but real particles have random rough surfaces which may influence their mechanical properties. It is necessary therefore to quantitatively improve the conventional discrete element model particles by taking their surface roughness into consideration. In this work, a new random normal contact law is established for particles that have random rough surfaces. The contact law, based on the classic Greenwood and Williamson (GW) model, is derived by both theoretical derivation and numerical simulation. A Newton-Raphson based numerical solution procedure is proposed to obtain the total contact force for a given overlap and a set of rough surface parameters. Some related computational issues key to improve computational efficiency and accuracy are addressed. Instead of a complicated integral expression involved in the GW model, the curve fitted empirical formula of the random contact law retains the closed form and simplicity of the Hertz model, with only one added parameter, σ, the standard deviation of the surface roughness, and therefore can be readily incorporated into the current discrete element modelling framework. © 2016, Editorial Office of Chinese Journal of Computational Mechanics. All right reserved.
published_date 2016-08-01T03:36:46Z
_version_ 1763751605433270272
score 11.013148

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