The University of Southampton
University of Southampton Institutional Repository

The state of stress induced by the plane frictionless cylindrical contact. I. The case of elastic similarity

Record type: Article

The contact problem between cylindrical conformal surfaces, modelling for instance a fastener joint, is studied. A closed form solution is obtained in Part I of the paper for the case of elastic similarity, improving
(i) the solution obtained by Persson (On the Stress Distribution of Cylindrical Elastic Bodies in Contact, Ph.D. dissertation, 1964), which was also limited to identical materials, and
(ii) the results of Noble and Hussain (Int. J. Engng. Sci. 7 (1969) 1149), which were limited to the case of perfect fit of contacting materials.
The variation of the contact area, pressure distribution and maximum sustainable load is given for the complete range of possible dimensionless loading parameter E1*?R/Q and first Dundurs' material parameter, ?.
Under conditions of initial clearance, the contact area arc, var epsilon, increases with load from zero to a limiting value, var epsilonlim, which depends only on the material parameter ?. Vice versa, under conditions of initial interference, the contact is complete until there is detachment and the contact area starts to decrease with load up to the same limiting value, var epsilonlim, which is also the only possible value of contact area for neat-fit conditions, under any applied load.
Finally, a complete assessment of the strength of the contact is given for the entire range of working conditions. As expected, the strength of the joint decreases rapidly if the extent of the contact area reduces, and finally tends to the limit predicted by the Hertzian theory when the arc of contact is smaller than about 30°. The optimal conditions for avoiding yielding are reached for a contact arc smaller than the limiting arc var epsilonlim: this means that it is not possible to reach the optimum from a configuration of initial interference.

PDF ciav_01a.pdf - Accepted Manuscript
Download (2MB)

Citation

Ciavarella, Michele and Decuzzi, Paolo (2001) The state of stress induced by the plane frictionless cylindrical contact. I. The case of elastic similarity International Journal of Solids and Structures, 38, (26-27), pp. 4507-4523. (doi:10.1016/S0020-7683(00)00289-4).

More information

Published date: 2001
Keywords: elastic similarity, cylindrical contact, stress

Identifiers

Local EPrints ID: 22370
URI: http://eprints.soton.ac.uk/id/eprint/22370
ISSN: 0020-7683
PURE UUID: 76d928cc-15af-4913-abcf-b0e72cc4ee5c

Catalogue record

Date deposited: 21 Mar 2006
Last modified: 17 Jul 2017 16:22

Export record

Altmetrics

Contributors

Author: Michele Ciavarella
Author: Paolo Decuzzi

University divisions


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.

×