Vol. 10, No. 3, 2015

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A note on wear of elastic sliding parts with varying contact area

Michele Ciavarella and Nicola Menga

Vol. 10 (2015), No. 3, 255–264
DOI: 10.2140/jomms.2015.10.255

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.

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wear, contact mechanics, finite element method, Archard wear law, Hertzian plane contact, transient wear
Received: 22 January 2014
Revised: 14 October 2014
Accepted: 25 December 2014
Published: 26 August 2015
Michele Ciavarella
Dipartimento di Meccanica, Matematica e Management
Politecnico di Bari
Viale Japigia 182
70126 Bari
Nicola Menga
Dipartimento di Meccanica, Matematica e Management
Politecnico di Bari
Viale Japigia 182
70126 Bari