On Elastic Line Contact

[+] Author and Article Information
J. J. Kalker

Delft University of Technology, Delft, The Netherlands

J. Appl. Mech 39(4), 1125-1132 (Dec 01, 1972) (8 pages) doi:10.1115/1.3422841 History: Received April 26, 1971; Revised October 15, 1971; Online July 12, 2010


Two-dimensional elastic half-space contact theory suffers from the defect that the surface displacement with respect to infinity becomes infinitely large when the total force carried by the half space is different from zero. Several authors removed this defect by altering the geometry so that the depth of the elastic body becomes finite. In the present paper another approach is chosen by considering contact areas which are many times as long as they are wide, but which still are small as compared with a characteristic dimension of the body which is approximated by the half space. As one of the examples, the Hertz problem is considered, and the asymptotic results are compared with the exact theory. It is found that errors of 10–15 percent are found when the contact ellipse is twice as long as wide, and errors of 2–3 percent are encountered when the ratio of the axes is five.

Copyright © 1972 by ASME
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In