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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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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 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.
College: Faculty of Science and Engineering
Issue: 4
Start Page: 629
End Page: 636

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