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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