A Deterministic Multiscale Method Modeling Surface Texturing Effects in Hydrodynamic Lubrication Regime

摘要

Surface texture as a means for enhancing tribological properties has been proven to be very efficient in boundary, mixed and full lubrication, reducing the friction coefficient and the wear rate of mating surfaces. The contacting surface is often composed of hundreds even ten thousands textures, so the macroscopic statistics of the contacting surface, such as load capacity or friction, is determined by the cumulative effect of massive textures, while the microscopic boundary conditions of the textures is directly affected by the macroscopic working conditions. Therefore, the macroscopic and microscopic conditions interact with each other. It is not a trivial task to determine the pressure distribution for multiscale texturing surface in full lubrication. However, many theoretical studies on textures often only took out one or several units [1-3] from the pattern distributed textures for period analysis. Nevertheless, these approaches ignore the macroscopic and microscopic interaction and cannot apply the real boundary conditions, which results in improper results. In addition, in order to ensure the accuracy of computational results and the detailed expression of the texture geometry, every texture needs intensive mesh grids, which leads to extraordinary number of grids. Consequently, it is almost impossible for the traditional numerical methods, such as finite element or finite difference methods, to solve the multiscale problem. Therefore, it is important to develop an efficient method for the multiscale problem, which will be helpful to study the texturing hydrodynamic lubrication in multiscale level.