CUED Publications database

The contact of elastic regular wavy surfaces

Johnson, KL and Greenwood, JA and Higginson, JG (1985) The contact of elastic regular wavy surfaces. International Journal of Mechanical Sciences, 27. pp. 383-396. ISSN 0020-7403

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A complete solution in closed form to the elastic contact of a one-dimensional sinusoidal surface with a flat surface was presented by Westergaard in 1939. This paper is concerned with the elastic contact of a two-dimensional sinusoidal surface with a flat. In this case the stress distribution within the elastic solids is three-dimensional. As the load is increased the contact areas change in shape from being circular to square and finally leave a circular region of no contact when the waves are almost squashed flat. The problem is solved in general using a numerical method due to Kalker, but asymptotic solutions in closed form have been found for light loads and also for heavy loads at which contact is almost complete. The variation of the mean separation with load, which determines the volume of the space trapped between the two surfaces, is also found. © 1985.

Item Type: Article
Divisions: Div D > Geotechnical and Environmental
Depositing User: Cron Job
Date Deposited: 19 Jun 2020 21:21
Last Modified: 15 Oct 2020 03:58
DOI: 10.1016/0020-7403(85)90029-3