The University of Southampton
University of Southampton Institutional Repository

A note on convective effects in elastic contact problems for dissimilar materials

A note on convective effects in elastic contact problems for dissimilar materials
A note on convective effects in elastic contact problems for dissimilar materials
In this paper we discuss the effect of neglecting relative tangential surface displacements in forming the boundary conditions of elastic contact problems between dissimilar materials. This is one of the known approximations made by Hertz in his original theory. Attempts have been made only recently to build up procedures to take this ‘convective' effect into account, for simple plane problems (Soldatenkov, 1996). However, before questioning all the existing solutions for elastically dissimilar contact problems, it is considered important to estimate quantitatively the order of the possible correction. Here a simple iterative procedure is set up to solve frictionless plane contact problems taking into account the ‘convective effect'. Attention is focused on the problem of wedge indentation, as this provides a reasonably tractable problem, and on the parabolic indenter, to discuss the Hertzian case. The correction introduced is shown not to be negligible, but is of practical significance only in extreme conditions, viz. frictionless contact and large Dundurs' constant, ?. In these extreme cases, the maximum correction to the contact are dimension may be of the order of an increase of 10% for the contact area dimension. The effect tends to be more significant for Hertzian indenter and higher order profiles.
convective effect, contact, dissimilar materials, elastic mismatch, wedge
0997-7538
481-490
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Hills, D.A.
d7ac6eb1-a16e-4a2c-b3ff-86e82cfbf3d6
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Hills, D.A.
d7ac6eb1-a16e-4a2c-b3ff-86e82cfbf3d6

Ciavarella, M. and Hills, D.A. (1999) A note on convective effects in elastic contact problems for dissimilar materials. European Journal of Mechanics - A/Solids, 18 (3), 481-490. (doi:10.1016/S0997-7538(99)00115-1).

Record type: Article

Abstract

In this paper we discuss the effect of neglecting relative tangential surface displacements in forming the boundary conditions of elastic contact problems between dissimilar materials. This is one of the known approximations made by Hertz in his original theory. Attempts have been made only recently to build up procedures to take this ‘convective' effect into account, for simple plane problems (Soldatenkov, 1996). However, before questioning all the existing solutions for elastically dissimilar contact problems, it is considered important to estimate quantitatively the order of the possible correction. Here a simple iterative procedure is set up to solve frictionless plane contact problems taking into account the ‘convective effect'. Attention is focused on the problem of wedge indentation, as this provides a reasonably tractable problem, and on the parabolic indenter, to discuss the Hertzian case. The correction introduced is shown not to be negligible, but is of practical significance only in extreme conditions, viz. frictionless contact and large Dundurs' constant, ?. In these extreme cases, the maximum correction to the contact are dimension may be of the order of an increase of 10% for the contact area dimension. The effect tends to be more significant for Hertzian indenter and higher order profiles.

Full text not available from this repository.

More information

Published date: 1999
Keywords: convective effect, contact, dissimilar materials, elastic mismatch, wedge

Identifiers

Local EPrints ID: 23254
URI: http://eprints.soton.ac.uk/id/eprint/23254
ISSN: 0997-7538
PURE UUID: 16e311df-2c79-4df8-b18d-684eb3caa84f

Catalogue record

Date deposited: 01 Feb 2007
Last modified: 15 Jul 2019 19:20

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×