接触问题中磨损的广义模型：振荡载荷的情况
Generalised model of wear in contact problems: the case of oscillatory load
摘要：
在这篇简短的论文中，我们考虑了最近提出的磨损模型下的滑动冲头问题，该模型是基于压力和磨损体积之间的Riemann-Liouville分数积分关系，并结合了另一个额外的影响有关的放松。振荡（时间谐波）负载的一个特殊情况下进行了研究。依赖于时间的定态被确定在一个辅助积分算子的本征函数。收敛到这个固定状态是量化的。此外，已经进行了数值模拟，以说明所获得的结果和研究定性依赖于两个主要的模型参数。
英文摘要：
In this short paper, we consider a sliding punch problem under recently proposed model of wear which is based on the Riemann-Liouville fractional integral relation between pressure and worn volume, and incorporates another additional effect pertinent to relaxation. A particular case of oscillatory (time-harmonic) load is studied. The time-dependent stationary state is identified in terms of eigenfunctions of an auxiliary integral operator. Convergence to this stationary state is quantified. Moreover, numerical simulations have been conducted in order to illustrate the obtained results and study qualitative dependence on two main model parameters.
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。
