Abstract

The paper considers a 3D contact problem of stationary rolling with slip of an elastic body on an elastic half-space covered with a thin viscoelastic layer taking into account three relative slip components: longitudinal slip, lateral slip, and spin slip. The mechanical behavior of the viscoelastic layer is described by the Maxwell model. The normal stress in the contact region is calculated using the Hertz solution, assuming that the elastic properties of the rolling body and half-space are the same and that the normal compliance of the layer is negligible. The shear stress and the location of stick-slip zones in the contact region are calculated by the variational method. The contact stress distribution is calculated at different values of the sliding friction coefficient, relative slip velocity, angular spin velocity, and viscoelastic layer properties, and the calculated results are applied to analyze the distribution of internal stresses in the elastic half-space and to determine the sites of principal shear stress concentration beneath the material surface depending on the conditions of interaction and properties of the intermediate layer. The proposed model can be used for identifying fatigue crack initiation sites in interacting bodies subjected to rolling friction.

中文翻译：

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具有滑动接触的中间层弹性体的应力状态

摘要

该论文考虑了三个相对滑移分量：纵向滑移、横向滑移和自旋滑移，考虑了弹性体在覆盖有薄粘弹性层的弹性半空间上的静止滚动和滑动的 3D 接触问题。粘弹性层的力学行为由麦克斯韦模型描述。接触区域的法向应力是使用赫兹解计算的，假设滚动体和半空间的弹性特性相同，并且层的法向柔量可以忽略不计。剪应力和接触区粘滑区的位置通过变分法计算。在不同的滑动摩擦系数、相对滑动速度、角旋转速度、和粘弹性层的特性，并将计算结果用于分析弹性半空间内的内应力分布，并根据相互作用的条件和中间层的特性确定材料表面下方的主剪应力集中位置. 所提出的模型可用于识别受到滚动摩擦的相互作用体中的疲劳裂纹萌生点。