A hybrid simulation method is used to study non-adhesive contact between two-dimensional self-affine rough surfaces. We find strong scale dependence as the contact dimensions decrease to the atomic scale. Both purely elastic and plastic materials are considered, and show different trends with system size. In all cases the contact area rises linearly with applied load, but the slope is substantially different from continuum predictions. We also examine the effect of commensurability between contacting surfaces. Contact area and frictional forces can be very different for commensurate and incommensurate surfaces, particularly for plastic materials.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Tax calculation will be finalised during checkout.
J. A. Greenwood and J. B. P. Williamson, Proc. Roy. Soc. A295, 300(1966).
A. W. Bush, R. D. Gibson and T. R. Thomas, Wear 35, 87 (1975).
K. L. Johnson, Contact Mechanics, (Cambridge, Cambridge, 1985), p. 90.
B. N. J. Persson, Phys. Rev. Lett. 87, 116101 (2001).
B. Luan and M. O. Robbins, submitted (2004).
S. Hyun, L. Pei, J.-F. Molinari, and M. O. Robbins, Phy. Rev. E. 70, 26117 (2004).
T. J. R. Hughes and T. Belytschko, Journal of Applied Mechanics 50, 1033 (1983).
R. F. Voss, (Springer-Verlag, Berlin, 1985) pp. 805.
B. Luan, S. Hyun, N. Bernstein and M. O. Robbins, unpublished.
M. H. Müser, L. Wenning and M. O. Robbins Phys. Rev. Lett 86, 1295 (2001).
We thank J. F. Molinari and J. A. Harrison for helpful discussions. This material is based upon work supported by the National Science Foundation under Grant No.CMS-0103408.
About this article
Cite this article
Luan, B., Hyun, S., Robbins, M.O. et al. Multiscale Modeling of Two Dimensional Rough Surface Contacts. MRS Online Proceedings Library 841, R7.4 (2004). https://doi.org/10.1557/PROC-841-R7.4