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Towards stochastic discrete element modelling of spherical particles with surface roughness: A normal interaction law

Yuntian Feng Orcid Logo, T. Zhao, J. Kato, W. Zhou

Computer Methods in Applied Mechanics and Engineering, Volume: 315, Pages: 247 - 272

Swansea University Author: Yuntian Feng Orcid Logo

Abstract

The current work is the first attempt towards establishing a stochastic discrete element modelling framework by developing a normal contact interaction law based on the classic Greenwood and Williamson (GW) model for spheres with rough surfaces. Two non-dimensional forms of the model that have a sub...

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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/cronfa30816
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first_indexed 2016-10-25T13:25:01Z
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spelling 2021-01-21T09:28:55.4160645 v2 30816 2016-10-25 Towards stochastic discrete element modelling of spherical particles with surface roughness: A normal interaction law d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2016-10-25 CIVL The current work is the first attempt towards establishing a stochastic discrete element modelling framework by developing a normal contact interaction law based on the classic Greenwood and Williamson (GW) model for spheres with rough surfaces. Two non-dimensional forms of the model that have a substantial impact on the computational efficiency are discussed and the theoretical relationship between the GW model and the Hertzian model for smooth spheres is formally established. Due to the inter-dependence between the contact pressure and deformation distributions in the model, a Newton-Raphson based iterative solution procedure is proposed to effectively and accurately obtain the contact force in terms of the overlap and two surface roughness parameters. The related key components of the procedure are addressed in detail. The numerical results obtained are first validated and then curve-fitted to derive an empirical formula as a new normal interaction law for spheres with surface roughness. The explicit nature of the new interaction law makes it readily be incorporated into the current discrete element modelling framework. A simple example is presented to illustrate the effect of surface roughness on the packing behaviour of a particle assembly. Journal Article Computer Methods in Applied Mechanics and Engineering 315 247 272 0045-7825 1 3 2017 2017-03-01 10.1016/j.cma.2016.10.031 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2021-01-21T09:28:55.4160645 2016-10-25T09:32:56.0811035 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Yuntian Feng 0000-0002-6396-8698 1 T. Zhao 2 J. Kato 3 W. Zhou 4 0030816-10112016093405.pdf feng2016(4).pdf 2016-11-10T09:34:05.0270000 Output 1675519 application/pdf Accepted Manuscript true 2017-11-09T00:00:00.0000000 true eng
title Towards stochastic discrete element modelling of spherical particles with surface roughness: A normal interaction law
spellingShingle Towards stochastic discrete element modelling of spherical particles with surface roughness: A normal interaction law
Yuntian Feng
title_short Towards stochastic discrete element modelling of spherical particles with surface roughness: A normal interaction law
title_full Towards stochastic discrete element modelling of spherical particles with surface roughness: A normal interaction law
title_fullStr Towards stochastic discrete element modelling of spherical particles with surface roughness: A normal interaction law
title_full_unstemmed Towards stochastic discrete element modelling of spherical particles with surface roughness: A normal interaction law
title_sort Towards stochastic discrete element modelling of spherical particles with surface roughness: A normal interaction law
author_id_str_mv d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Yuntian Feng
author2 Yuntian Feng
T. Zhao
J. Kato
W. Zhou
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 315
container_start_page 247
publishDate 2017
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2016.10.031
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 The current work is the first attempt towards establishing a stochastic discrete element modelling framework by developing a normal contact interaction law based on the classic Greenwood and Williamson (GW) model for spheres with rough surfaces. Two non-dimensional forms of the model that have a substantial impact on the computational efficiency are discussed and the theoretical relationship between the GW model and the Hertzian model for smooth spheres is formally established. Due to the inter-dependence between the contact pressure and deformation distributions in the model, a Newton-Raphson based iterative solution procedure is proposed to effectively and accurately obtain the contact force in terms of the overlap and two surface roughness parameters. The related key components of the procedure are addressed in detail. The numerical results obtained are first validated and then curve-fitted to derive an empirical formula as a new normal interaction law for spheres with surface roughness. The explicit nature of the new interaction law makes it readily be incorporated into the current discrete element modelling framework. A simple example is presented to illustrate the effect of surface roughness on the packing behaviour of a particle assembly.
published_date 2017-03-01T03:34:05Z
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score 10.926594