Formulas for Moderately Elliptical Hertzian Contacts

[+] Author and Article Information
J. A. Greenwood

Department of Engineering, University of Cambridge, Cambridge, England

J. Tribol 107(4), 501-504 (Oct 01, 1985) (4 pages) doi:10.1115/1.3261116 History: Received July 27, 1980; Online October 29, 2009


For small ellipticities the Hertzian contact pressure and approach can be obtained to a good approximation by using the formulae for circular contact with an equivalent radius of curvature (AB) −1/2 , where A and B are the principal relative curvatures. For higher ellipticities (AB(A + B)/2)−1/3 should be used to find the contact area and pressure; an equivalent radius for finding the approach is also given. The ellipticity of the contact can be estimated from the asymptotic equation (a/b) ≈ (B/A)2/3 .

Copyright © 1985 by ASME
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