Abstract Fretting analysis may be of critical importance in the design of mechanical structural components when the contact interfaces are subjected to cyclic tangential loading. Indeed, fretting damage may induce various mechanisms of failure, such as wear, but may also lead to fretting fatigue through the early development of embryo cracks than can result in a significant decrease in fatigue performance. In the present paper, an original theoretical model encompassing both phenomena is proposed, as derived from the proven asymptotic equivalence between perfect plasticity and friction and using a continuum damage approach in the intermediate perfectly plastic volume of small thickness. This asymptotic process enables to obtain a law for sliding wear rate evolution and a fretting-fatigue law in the low-cycle fatigue regime based on a unified approach. Both parts of the resulting model are discussed and analyzed in detail by comparison or analogy with existing approaches from the literature on the topic. A detailed strategy for numerical implementation is finally addressed at the end of the paper.

中文翻译：

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基于完美塑性与摩擦渐近等价的微动磨损-疲劳组合模型的推导与分析

摘要 当接触界面受到循环切向载荷时，微动分析在机械结构部件的设计中可能是至关重要的。事实上，微动损伤可能会导致各种失效机制，例如磨损，但也可能通过早期发展的胚胎裂纹导致微动疲劳，从而导致疲劳性能的显着下降。在本文中，提出了包含这两种现象的原始理论模型，该模型源自已证明的完美塑性和摩擦之间的渐近等效性，并在小厚度的中间完美塑性体积中使用连续损伤方法。这种渐近过程能够基于统一的方法获得低周疲劳状态下滑动磨损率演变的规律和微动疲劳规律。通过与有关该主题的文献中的现有方法进行比较或类比，对生成的模型的两个部分进行了详细讨论和分析。最终在论文末尾讨论了数值实现的详细策略。