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<p class="noindent">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. </p>

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