Surface roughness is a critical factor influencing the fatigue life of structural components. Its effect is commonly quantified using a correction coefficient known as the surface factor. In this paper, a phase field based numerical framework is proposed to estimate the surface factor while accounting for the stochastic nature of surface roughness. The model is validated against existing experimental data. Furthermore, we investigate the influence of key parameters on the fatigue life of rough surfaces, such as surface topology and failure strength. An important effect of surface roughness is observed when the average surface roughness increases and the correlation length of the surface profile decreases. This effect becomes more pronounced with higher failure strengths.

中文翻译：

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用于预测表面粗糙度对疲劳影响的计算框架

表面粗糙度是影响结构部件疲劳寿命的关键因素。其影响通常使用称为表面因子的校正系数进行量化。在本文中，提出了一个基于相场的数值框架来估计表面因子，同时考虑表面粗糙度的随机性。该模型根据现有实验数据进行了验证。此外，我们研究了关键参数对粗糙表面疲劳寿命的影响，例如表面拓扑和失效强度。当平均表面粗糙度增加而表面轮廓的相关长度减小时，观察到表面粗糙度的重要影响。这种影响随着失效强度的增加而变得更加明显。