Abstract The inverse search determination of the strain-energy-density (SED) control radius R1 devised in Benedetti et al. Int J Fatigue 2019;126:306-318 and based on the knowledge of the notch fatigue factor estimated using an optimal V-notch specimen geometry is here reformulated to take into account the statistical properties of the input fatigue properties. It was found that R1 exhibits a non-symmetric probability density function that is well represented by a skew-normal distribution. The uncertainty in R1 can be attributed to the uncertainty in the inverse search procedure and to the material variability in notch sensitivity. By applying the devised procedure to real experimental data, it was found that the former contribution is preponderant in the assessment of very sharp notches, while the latter dictates the fatigue strength of blunt notches, especially in the case of intrinsically flawed materials, such as those additively manufactured.

中文翻译：

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基于应变能量密度方法的缺口疲劳预测的统计意义：应用于常规和增材制造的材料

摘要 Benedetti 等人设计的应变能量密度 (SED) 控制半径 R1 的逆搜索确定。Int J Fatigue 2019;126:306-318 并基于使用最佳 V 型缺口试样几何形状估计的缺口疲劳系数的知识，在此重新制定，以考虑输入疲劳特性的统计特性。发现 R1 表现出非对称概率密度函数，该函数很好地由偏态正态分布表示。R1 中的不确定性可归因于逆向搜索过程中的不确定性和陷波灵敏度的材料可变性。通过将设计的程序应用于真实的实验数据，发现前者的贡献在评估非常尖锐的缺口时占主导地位，