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On a Winkler
ligament contact between a rigid disc and an elastic
halfspace
A. P. S. Selvadurai, T. Scarpas and N. Kringos |
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Vol. 3 (2008), No. 10, 1875–1883
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Abstract |
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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
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Milestones
Received: 23 July 2007
Revised: 8 December 2007
Accepted: 10 December 2007
Published: 1 December 2008
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Authors |
| A. P. S. Selvadurai | |
| Department of Civil Engineering and
Applied Mechanics McGill University 817 Sherbrooke Street West Montréal QC H3A 2K6 Canada |
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| 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 |
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| N. Kringos | |
| Section of Structural
Mechanics Faculty of Civil Engineering and Geosciences Delft University of Technology The Netherlands |
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