Paris model is widely used since it was proposed in 1963 due to simplicity and universality, but it cannot consider stress ratio () effect and curve fitting is always needed to obtain Paris parameters when is changed. Based on Goodman curve and analysis of 22 groups of fatigue crack growth (FCG) data, an analytical FCG rate model is proposed by linking Paris parameters and fatigue driving force at ≠ 0 (from 0 to 0.5) to those at = 0 and material constants (tensile strength and fatigue limit at = −1). Results show that proposed model can well predict FCG behavior at different values based on Paris parameters at = 0.

中文翻译：

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应力比对与材料性能相关的 Paris 参数和疲劳驱动力的影响


Paris模型自1963年提出以来，由于简单性和普适性而得到广泛应用，但它不能考虑应力比（）效应，当Paris参数发生变化时，需要进行曲线拟合来获得。基于Goodman曲线和对22组疲劳裂纹扩展（FCG）数据的分析，将≠0（从0到0.5）时的Paris参数和疲劳驱动力与=0时的参数和疲劳驱动力以及材料常数联系起来，提出了解析FCG速率模型（拉伸强度和疲劳极限 = −1）。结果表明，所提出的模型可以根据 = 0 时的 Paris 参数很好地预测不同值下的 FCG 行为。