Applied Scientific Research

, Volume 18, Issue 1, pp 353–383 | Cite as

The contact problem of a rigid cylinder on an elastic layer

  • P. Meijers
Article
Received:

Summary

This paper deals with the contact problem of a rigid cylinder pressed on an elastic layer connected rigidly to a rigid base. It is assumed that there is no friction between cylinder and layer and that the cylinder is long enough to ensure a plane deformation. Asymptotic solutions are presented when the ratio of the half width c of the contact area to the thickness b of the layer is small and also when c/b is large. The breakdown of the asymptotic solution for large values of c/b when the material is incompressible, discussed by Koiter [6], is overcome by considering a more general solution of the Wiener-Hopf integral equation encountered. The results of both asymptotic solutions match so well that a satisfactory solution is obtained for all values c/b and for 0≦ν≦0.5.

Keywords

Integral Equation Contact Area General Solution Asymptotic Solution Contact Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Martinus Nijhoff 1968

Authors and Affiliations

  • P. Meijers
    • 1
  1. 1.Technological UniversityDelftThe Netherlands

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