发表机构
The Open University; Seattle University（开放大学; 西雅图大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究两平面间润滑膜间隙在边界点归零时的压力发散行为，提出精确数值方法确定压力场与水力，并给出间隙演化相图，指出接触滑动与表面粗糙度微观性质无关。
AI 中文摘要
本文讨论了分隔两个平坦表面的润滑膜的动力学。表面之间的间隙可能在有限时间内于边界上某一点减小到零。通常，当表面之间的间隙趋近于零时，最大压力会发散。我们讨论了最大压力附近的压力场形式。我们还引入了一种数值方法，用于精确确定润滑表面上的压力分布，从而能够确定水动力。我们确定了描述间隙演化的相图，该相图是初始构型和外力作用线的函数。当接触确实发生时，我们考虑了后续运动是否涉及接触点的滑动。我们认为，当滑动确实发生时，运动不依赖于表面粗糙度的微观性质。
英文摘要
In this paper we discuss the dynamics of a lubricating film separating two flat surfaces. It may be possible for the gap between the surfaces to reduce to zero at one point on the boundary in a finite time. Typically, the maximum pressure diverges as the gap between the surfaces approaches zero. We discuss the form of the pressure field in the vicinity of its maximum. We also introduce a numerical method for accurate determination of the pressure across the lubrication surface, enabling us to determine the hydrodynamic forces. We determine the phase diagram describing the evolution of the gap, as a function of the initial configuration and of the line of action of the external forces. When contact does occur, we consider whether the subsequent motion involves sliding of the point of contact. We argue that, when sliding does occur, the motion does not depend upon the microscopic properties of the surface roughness.
Comments23 pages, 9 figures
