论文标题
接触问题中的磨损的通用模型：振荡载荷的情况
Generalised model of wear in contact problems: the case of oscillatory load
论文作者
论文摘要
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打孔问题，该模型基于压力和磨损体积之间的Riemann-Liouville分数积分关系，并结合了与放松有关的另一种附加效果。研究了一种特定的振荡（时谐）负载。根据辅助积分运算符的本征函数确定时间依赖性的固定状态。量化了与该固定状态的收敛。此外，已经进行了数值模拟，以说明获得的结果并研究对两个主要模型参数的定性依赖性。
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.
