Solving transient problems in soft Elasto-Hydrodynamic lubrication
Solving transient problems in soft Elasto-Hydrodynamic lubrication
复制标题
解决软弹性流体动力润滑中的瞬态问题
DOI：
10.1016/j.jmps.2022.105104
复制
发表时间：
2023
影响因子：
5.3
通讯作者：
Jagota, Anand
中科院分区：
文献类型：
--
作者：
Wu, Haibin;Hui, Chung-Yuen;Jagota, Anand
当接触体之一是弹性软的时，弹性流体动力润滑中的许多重要问题出现。一个例子是刚性球体/圆柱体和软弹性基底之间的薄液膜的挤压，其中球体可以不滑动并且仅受到法向载荷（静止接触），或者它可以同时被剪切并且经历稳定或非稳定滑动。这些问题是众所周知的难以解决的软固体在大负荷和薄润滑膜。由于这个原因，压痕和滑动问题通常被分开分析，瞬态滑动问题的解决方案很少。在这里，我们开发了一种数值方法，避免了难以收敛的迭代方法，并能够解决正常的压痕和/或瞬态滑动润滑问题。该方案是全自动的，稳定的，高效的，只需要一个线性矩阵方程求解在每个时间步。我们提出了两个瞬态滑动问题的解决方案：在第一个，一个刚性球经历瞬态正常润滑接触，然后在弹性半空间瞬态滑动。在第二种情况下，刚性圆柱在弹性地基上进行瞬态润滑滑动。
Many important problems in elasto-hydrodynamic lubrication arise when one of the contacting bodies is elastically soft. An example is the squeezing of a thin liquid film between a rigid sphere/cylinder and a soft elastic substrate, in which the sphere may not be sliding and be subjected only to normal loads (stationary contact), or it can be sheared at the same time and undergo steady or non-steady sliding. These problems are notoriously difficult to solve for soft solids under large loads and thin lubricant films. For this reason, indentation and sliding problems have usually been analyzed separately, and solutions for transient sliding problems are few. Here we develop a numerical method that avoids difficult-to-converge iterative methods and is able to solve both normal indentation and/or transient sliding lubrication problems. The scheme is fully automatic, stable, and efficient and requires only a linear matrix equation to be solved at every time step. We present solutions of two transient sliding problems: in the first of which, a rigid sphere undergoes transient normal lubricated contact followed by transient sliding on an elastic half space. In the second, a rigid cylinder undergoes transient lubricated sliding on an elastic foundation.