We present a generalised phase field formulation for predicting high-cycle fatigue in metals. Different fatigue degradation functions are presented, together with new damage accumulation strategies, to account for (i) a typical S-N curve slope, (ii) the fatigue endurance limit, and (iii) the mean stress effect. The numerical implementation exploits an efficient quasi-Newton monolithic solution strategy and Virtual S-N curves are computed for both smooth and notched samples. The comparison with experiments reveals that the model can accurately predict fatigue lives and endurance limits, as well as naturally capture the influence of the stress concentration factor and the load ratio.

翻译：我们提出了一种用于预测金属高周疲劳的广义相场公式。介绍了不同的疲劳退化函数以及新的损伤累积策略，以考虑（i）典型的S-N曲线斜率、（ii）疲劳持久极限以及（iii）平均应力效应。数值实现采用高效拟牛顿单片求解策略，并计算了光滑和缺口试样的虚拟S-N曲线。与实验结果的对比表明，该模型能够准确预测疲劳寿命和持久极限，同时自然捕捉应力集中系数和载荷比的影响。