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 by taking the surface roughness into consideration. In this work, a new 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 calculations. Instead of a complicated integral expression involved in the GW model, the resulting empirical formula of the law retains the closed form and simplicity of the Hertzian model, with only one added parameter, σ, the standard derivation of a surface roughness, and therefore can be readily incorporated into the current discrete element modelling framework.
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References
Barber, J.R., Ciavarella, M.: Contact mechanics. Int. J. Solids Struct. 37, 29–43 (2000)
Cohen, D., Kligerman, Y., Etsion, I.: The effect of surface roughness on static friction and junction growth of an elastic-plastic spherical contact. J. Tribol. 131(2), 021404 (2009)
Cundall, P.A., Strack, O.D.: A discrete numerical model for granular assemblies. Geotechnique 29(1), 47–65 (1979)
Gelinck, E.R., Schipper, D.J.: Deformation of rough line contacts. J. Tribol. 121(3), 449–454 (1999)
Greenwood, J.A., Tripp, J.H.: The elastic contact of rough spheres. J. Appl. Mech. 34(1), 153–159 (1967)
Greenwood, J.A., Williamson, J.B.P.: Contact of nominally flat surfaces. Proc. R. Soc. Lond. (Ser. A) 295, 300 (1966)
Li, L., Etsion, I., Talke, F.E.: Elastic-plastic spherical contact modeling including roughness effects. Tribol. Lett. 40(3), 357–363 (2010)
Majumdar, A., Bhushan, B.: Role of fractal geometry in roughness characterization and contact mechanics of surfaces. J. Tribol. (ASME) 112, 205–216 (1990)
Owen, D.R.J., Feng, Y.T., Cottrel, M.G., Yu, J.: Discrete/finite element modelling of industrial applications with multi-fracturing and particulate phenomena. In: 3rd International Conference Discrete Element Methods, Santa Fe, pp. 11–16 (2002)
Stanley, M., Kato, T.: An FFT-based method for rough surface contact. J. Tribol. 119, 481–485 (1997)
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Zhao, T., Kato, J., Feng, Y.T. (2017). Stochastic Discrete Element Modelling of Rough Particles. In: Li, X., Feng, Y., Mustoe, G. (eds) Proceedings of the 7th International Conference on Discrete Element Methods. DEM 2016. Springer Proceedings in Physics, vol 188. Springer, Singapore. https://doi.org/10.1007/978-981-10-1926-5_21
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DOI: https://doi.org/10.1007/978-981-10-1926-5_21
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