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Abstract
Wear of sliding parts in the transient regime depends on elastic behavior of the bulk
of the materials, and in general the contact area cannot be assumed to be constant,
so that the problem is nonlinear. Here we look at the simple example of the classical
Hertzian geometry, obtaining a simple solution for transient to uniform pressure
(which is also the “rigid” limit solution) assuming out-of-plane sliding, and the
approximation of the “Winkler foundation” in plane strain. Wear is assumed to
vary according to the Reye–Archard law, which applies locally and only to
the wearing indenter. As a further improvement, we give a more refined
solution using a Winkler constant which adapts to the changing size of the
contact.
Keywords
wear, contact mechanics, finite element method, Archard
wear law, Hertzian plane contact, transient wear
Milestones
Received: 22 January 2014
Revised: 14 October 2014
Accepted: 25 December 2014
Published: 26 August 2015