接觸表面之間的相對運動被視為造成表面磨耗的根本原因，良好的潤滑才能避免接觸區域產生磨耗或破壞。透過鍍膜表面處理方式，不僅能夠將材料的特性充分的發揮出來，更能創造出新的價值，透過鍍層方式能夠大大改善接觸表面的摩擦性能。因此探討鍍層對彈液動潤滑造成的影響是迫切需要的。
本研究建立出橫向等向性鍍膜材料的等效彈性模型、流場方程式及構造方程式，建立出三者之間的耦合關係模型，利用有限元素分析法分析球和鍍膜平板之間的彈液動潤滑問題。通過等效方式將橫向等向鍍層材料等效成為一等向性材料，探討當在等向性基材表面上塗佈橫向等向特性的鍍層材料後，球和平板之間產生相對運動而衍生出的彈液動潤滑問題。
本文分別探討在各種負載、滑動速度和不同鍍層楊氏模數在不同鍍膜厚度下，兩接觸面之間潤滑流體的壓力分佈和液膜厚度分佈及材料應力分佈等問題。透過求解線彈性方程式，計算出點接觸力在彈性半空間上的造成的響應，精確的表示出形變與壓力的關係。同時，探討鍍層及基材內部在彈液動潤滑機制下的應力狀態，其中包含分析材料內部之最大von Mises 應力及鍍層與基材界面處之剪應力。
如今鍍層材料應用日益廣泛，因此橫向等向鍍層的彈液動潤滑研究將可作為日後相關領域發展的基礎和依據。

To protect the machine components from wear, contact fatigue, and other surface failures, surface coatings have been widely applied in gears, bearings, seals, and so on. These mechanical components are usually operated under a severe tribological condition. For example, a contact problem of relative rotating surfaces exists in the elastohydrodynamic lubrication (EHL). To prevent the excessive fatigue during the relative motions, surface coating has been employed in the surface engineering.
To extend the life of the coated layer, this thesis numerically investigates a transversely isotropic coated material of EHL point contacts. A finite element method is utilized to simultaneously solve the Reynolds equation, elastic equation, and load balance equation on a ball-on-plane equivalent model. The numerical procedure of EHL analysis is developed to simultaneously solve the pressure distribution of the lubricant and the deformation of elastic solids. The lubricating behaviors are analyzed, which includes the pressure distribution, film thickness, and sub-surface stress characteristics.
The von Mises stress and shear stress are examined for various material properties (Young’s modulus, Poisson’s ratio, and coating thickness) to study the surface fatigue issue by discussing the yield strengths.
Results reveal that the influence of transversely isotropic coated materials on the pressure distribution and film thickness of the lubricant. The effects of transversely isotropic coated materials on the magnitude of sub-surface stresses are significant, but insignificant for the position of maximum stress value, which are helpful to further investigate the fatigue of coatings between a coated layer and a substrate during the EHL condition. Based on the transversely coating material can be optimally used in the future.

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