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THE SLIDING AND ROLLING OF A CYLINDER AT THE NANO-SCALE

机译:纳米级气缸的滑动和滚动

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摘要

The behavior of a nano-scale cylindrical body (e.g. a fiber), lying on a substrate and acted upon by a combination of normal and tangential forces, is the subject of this investigation. As the scale decreases to the nano level, adhesion becomes an important issue in this contact problem. Thus this investigation treats the two-dimensional plane strain elastic deformation of both the cylinder and the substrate during a rolling/sliding motion, including the effect of adhesion using the Maugis model. For the initiation of sliding, the Mindlin approach is used, whereas for rolling, the Carter approach is utilized. Each case is modified for nano-scale effects by including the effect of adhesion on the contact area and by using the adhesion theory of friction for the friction stress. Analytical results are given for the normal and tangential loading problems, including the initiation of sliding and rolling in terms of dimensionless quantities representing adhesion, cylinder size, and applied forces.
机译:本研究的主题是位于基底上并受到法向和切向力作用的纳米级圆柱体(例如纤维)的行为。随着氧化皮减小到纳米级,粘附成为该接触问题中的重要问题。因此,这项研究处理了在滚动/滑动运动过程中圆柱体和基材的二维平面应变弹性变形,包括使用莫吉斯模型的粘附作用。对于开始滑动,使用Mindlin方法,而对于滚动,使用Carter方法。通过包括粘附力对接触面积的影响以及通过将摩擦力的粘附理论用于摩擦应力,对每种情况都进行了纳米级效果的修改。给出了法向和切向载荷问题的分析结果,包括根据表示附着力,圆柱尺寸和作用力的无量纲量开始滑动和滚动。

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