CUED Publications database

A surface roughness parameter in Hertz contact

Greenwood, JA and Johnson, KL and Matsubara, E (1984) A surface roughness parameter in Hertz contact. Wear, 100. pp. 47-57. ISSN 0043-1648

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The influence of surface roughness on the accuracy with which the Hertz theory of elastic contact predicts the contact pressure and contact area between a sphere and a plane is examined theoretically and experimentally. Statistical theories of surface contact suggest that the influence of surface roughness is governed primarily by a single non-dimensional parameter α defined by α σR a02 where σ is the combined roughness of the two surfaces, R is the radius of the sphere and a0 is the contact radius for smooth surfaces given by the Hertz theory. Experimental measurements of contact area correlate well with this parameter. Provided that the value of α is less than about 0.05, errors in the application of the Hertz theory due to roughness of the surfaces are not likely to exceed about 7%. © 1984.

Item Type: Article
Divisions: Div D > Geotechnical and Environmental
Depositing User: Cron Job
Date Deposited: 19 Jun 2020 21:21
Last Modified: 20 Aug 2020 03:01
DOI: 10.1016/0043-1648(84)90005-X