Journal
TRIBOLOGY LETTERS
Volume 64, Issue 1, Pages -Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s11249-016-0750-3
Keywords
Contact mechanics; Surface roughness; Analysis and models; Molecular dynamics
Categories
Funding
- Deutsche Forschungsgemeinschaft [Mu 1694/5-1]
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In a recent paper, Pastewka and Robbins (Appl Phys Lett 108:221-601, 2016) state an analytical expression for the real contact area of a Hertzian tip with smallscale roughness. We confirm that their formula predicts real contact areas quite well-with less than 10 % error. Nonetheless, the complementary contact area does not show the proper scaling to the continuum results at large loads. This shortcoming is fixed in the present work by abandoning a mean-field approximation made in the original work. Analytical results can even be made essentially perfect with a relation giving the accurate dependence of contract area on pressure for contacts between solids with nominally flat surfaces.
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