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arXiv 2203.03066math-phmath.MP
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含磨损接触问题的广义时间演化模型及其分析

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

Dmitry Ponomarev

摘要:

在本文中,我们回顾了一些经典的和最近的工作建模滑动接触磨损,并提出了他们的概括。也就是说,我们升级的压力和磨损率之间的关系,通过纳入一些非本地的时间依赖性。为了达到这个效果,我们使用分数微积分和松弛效应的组合。此外,我们考虑的可能性时,负载是不是恒定的时间。对提出的模型进行了分析和求解。数值计算结果表明,并与类似的模型进行了比较。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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