An optimized version of the Maximum Variance Method (MVM) is employed to determine maximum shear stress amplitudes in high-cycle multiaxial fatigue analysis using the critical plane approach, increasing accuracy and reducing computational burden. This refined approach posits that the MVM assumes that the critical plane is the one subjected to the maximum variance of the shear stress history. Comprehensive statistical analyses, including Analysis of Variance (ANOVA) and multiple comparison techniques such as Tukey’s HSD and Bonferroni correction, were conducted to systematically investigate the impact of critical factors on fatigue resistance, such as mean stress, phase, synchrony, failure criteria, and the strategy for calculating maximum shear stress amplitude. These analyses highlighted significant effects of mean stress and phase on the accuracy of fatigue strength predictions, underscoring the effectiveness of the enhanced MVM in managing complex loading scenarios. The results demonstrate that the proposed methodology performs equal to or better than conventional methods, with significantly lower computational costs.

中文翻译：

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等幅加载下改进的最大方差法多轴疲劳分析的精度和效率评估


最大方差法 (MVM) 的优化版本用于使用临界平面方法确定高周多轴疲劳分析中的最大剪切应力振幅，从而提高了精度并减少了计算负担。这种改进的方法假设 MVM 假设临界平面是承受剪应力历史方差最大的平面。进行了全面的统计分析，包括方差分析 (ANOVA) 和多重比较技术，例如 Tukey 的 HSD 和 Bonferroni 校正，系统地研究了关键因素对疲劳抗力的影响，例如平均应力、相位、同步性、失效标准和计算最大剪应力幅值的策略。这些分析强调了平均应力和相位对疲劳强度预测准确性的显着影响，强调了增强型 MVM 在管理复杂负载场景方面的有效性。结果表明，所提出的方法的性能等于或优于传统方法，并且计算成本显着降低。