A generalised time-evolution model for contact problems with wear and its analysis
Mathematical Physics
2022-12-07 v5 math.MP
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.
Cite
@article{arxiv.2203.03066,
title = {A generalised time-evolution model for contact problems with wear and its analysis},
author = {Dmitry Ponomarev},
journal= {arXiv preprint arXiv:2203.03066},
year = {2022}
}