Vol. 3, No. 10, 2008

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ISSN: 1559-3959
On a Winkler ligament contact between a rigid disc and an elastic halfspace

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

Vol. 3 (2008), No. 10, 1875–1883
Abstract

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.

Keywords
Winkler ligaments, contact problem, variational method, adhesive contact, compliance of indentor, rigid circular indentor, variational solution, elastic halfspace indentation
Milestones
Received: 23 July 2007
Revised: 8 December 2007
Accepted: 10 December 2007
Published: 1 December 2008
Authors
A. P. S. Selvadurai
Department of Civil Engineering and Applied Mechanics
McGill University
817 Sherbrooke Street West
Montréal QC  H3A 2K6
Canada
http://www.mcgill.ca/civil/faculty/selvadurai/
T. Scarpas
Section of Structural Mechanics
Faculty of Civil Engineering and Geosciences
Delft University of Technology
The Netherlands
N. Kringos
Section of Structural Mechanics
Faculty of Civil Engineering and Geosciences
Delft University of Technology
The Netherlands