论文标题

用于磨损及其分析的接触问题的通用时间进化模型

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

论文作者

Ponomarev, Dmitry

论文摘要

在本文中,我们重新审视了一些与磨损建模幻灯片接触的古典和最新作品,并提出了它们的概括。也就是说,我们通过结合一些非本地时间依赖性来升级压力和磨损速率之间的关系。为此,我们结合了分数演算和放松效应的组合。此外,我们认为当负载不变的时间不变时可能性。分析和解决了所提出的模型。结果以数值说明,并讨论了与类似模型的比较。

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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