Vol. 9, No. 3, 2014

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
Author index
To appear
Other MSP journals
Sliding of a cup-shaped die on a half-space: influence of thermal relaxation, convection and die temperature

Louis Milton Brock

Vol. 9 (2014), No. 3, 347–363

A rigid, cup-shaped die translates at constant subcritical speed on a thermoelastic half-space that exhibits thermal relaxation and convection. The die surface is held at a temperature different from ambient temperature, and sliding friction exists in a contact zone that is not simply connected. A three-dimensional dynamic steady state model is assumed and, based on an approximation for inversion of integral transforms, a solution in analytic form is obtained. Auxiliary conditions for sliding contact are satisfied; in particular, contact zone traction is stationary with respect to compression force. Among other results, it is found that a dynamic steady state is precluded if die-ambient temperature difference is too large. Similar results are known, but only for die temperatures that exceed the ambient value.

thermoelasticity, 3D, relaxation, multiple connectivity, critical temperature, convection, 3D dynamic, sliding, transverse isotropy, contact zone geometry
Received: 15 April 2014
Accepted: 7 July 2014
Published: 4 October 2014
Louis Milton Brock
Department of Mechanical Engineering
University of Kentucky
265 RGAN
Lexington, KY 40506-0503
United States