On a winkler ligament contact between a rigid disc and an elastic halfspace

A. P.S. Selvadurai, T. Scarpas, N. Kringos

Research output: Contribution to journalArticlepeer-review


This paper presents a variational solution to the problem of the contact between an isotropic elastic halfspace and a rigid circular indentor, where the contact is achieved through a set of ligaments modeled by a continuously distributed layer of Winkler elements. The problem is of interest to the modeling of the ligament-type contact mechanics between a rigid cylinder and a substrate. The limiting solution for Boussinesq indentation is modified to take into consideration small but finite influences of the elastic stiffness of the ligaments forming the interface layer.

Original languageBritish English
Pages (from-to)1875-1883
Number of pages9
JournalJournal of Mechanics of Materials and Structures
Issue number10
StatePublished - 2008


  • Adhesive contact
  • Compliance of indentor
  • Contact problem
  • Elastic halfspace indentation
  • Rigid circular indentor
  • Variational method
  • Variational solution
  • Winkler ligaments


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