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arXiv · 2203.03066

A generalised time-evolution model for contact problems with wear and its analysis

Dmitry Ponomarev
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Abstract

In this paper, we revisit some classical and recent works on modelling slide-contact with wear and propose their generalisation. Namely, we upgrade the relation between the pressure and the wear rate by incorporating some non-local time-dependence. To this effect, we use a combination of fractional calculus and relaxation effects. Moreover, we consider a possibility when the load is not constant in time. The proposed model is analysed and solved. The results are illustrated numerically and comparison with similar models is discussed.

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Dmitry Ponomarev. 2022-03-06. A generalised time-evolution model for contact problems with wear and its analysis. https://doi.org/10.2140/memocs.2022.10.279

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