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Journal Articles Mathematics and Mechanics of Complex Systems Year : 2022

A Generalised Time-Evolution Model for Contact Problems with Wear and its Analysis

Abstract

In this paper, we revisit some classical and recent works on modelling sliding 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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Dates and versions

hal-03813493 , version 1 (13-10-2022)

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Dmitry Ponomarev. A Generalised Time-Evolution Model for Contact Problems with Wear and its Analysis. Mathematics and Mechanics of Complex Systems, 2022, 10 (3), pp.279-313. ⟨10.2140/memocs.2022.10.279⟩. ⟨hal-03813493⟩
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