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复杂循环加载多轴疲劳寿命预测

王延荣1,王彤晖2,3,钟波2   

  1. 1. 北京航空航天大学动力学院航空发动机数值仿真中心
    2. 北京航空航天大学能源与动力工程学院
    3. 太行国家实验室
  • 收稿日期:2025-10-27 修回日期:2026-07-07 出版日期:2026-07-16 发布日期:2026-07-16
  • 通讯作者: 王彤晖

Multiaxial Fatigue Life Prediction under Complex Cyclic Loading

  • Received:2025-10-27 Revised:2026-07-07 Online:2026-07-16 Published:2026-07-16

摘要: 航空发动机结构件的多轴疲劳问题是制约发动机可靠性和结构完整性提升的关键难点之一,而非零平均、非比例的多轴循环载荷又给多轴疲劳寿命评估带来了更大挑战。为了对复杂多轴循环载荷进行准确的寿命预测,首先定义了多轴循环加载路径的峰谷值及均值点,并基于此提出了多轴应力比的定义。随后,基于提出的多轴应力比,将单轴疲劳非零平均应力的Walker修正方法拓展至多轴疲劳,并结合现有多轴疲劳模型,提出了适用于非零平均循环加载的多轴疲劳寿命模型。而后,针对非零平均加载条件下非比例路径的特征,给出了适用于非零平均加载条件的非比例路径表征方法,进一步拓展了非零平均循环加载多轴疲劳模型的适用范围。最后采用3种材料的非零平均、非比例路径多轴疲劳试验数据对提出的模型进行了验证,结果表明在不引入额外参数的条件下大部分预测寿命均在试验的3±1倍分散带内,预测精度优于3种常用模型,表明了提出的模型能够较准确刻划非零平均加载和非比例路径对多轴疲劳寿命的影响。

关键词: 多轴疲劳, 非零平均, 非比例路径, 多轴应力比, 寿命模型

Abstract: Multiaxial fatigue in structural components of aircraft engines is one of the critical challenges limiting the improvement of engine reliability and structural integrity. The presence of non-zero mean stress and non-proportional multiaxial cyclic loading further complicates the fatigue life assessment. To accurately predict the life under complex multiaxial cyclic loading, the peak, valley, and mean points of the loading path are first defined. Based on this, a definition of the multiaxial stress ratio is proposed. Subsequently, the Walker correction method for uniaxial fatigue with non-zero mean stress is extended to multiaxial fatigue using the proposed multiaxial stress ratio. In conjunction with existing multiaxial fatigue models, a multiaxial fatigue life model suitable for non-zero mean cyclic loading is developed. To address the characteristics of non-proportional loading paths under non-zero mean loading conditions, a method for characterizing non-proportional paths under non-zero mean loading is proposed, which further extends the applicability of the non-zero mean cyclic loading multiaxial fatigue model. Finally, experimental data on non-zero mean, non-proportional path multiaxial fatigue for three materials are used to validate the proposed model. The results show that, without introducing additional parameters, most predicted life values fall within a scatter band of 3±1 times the experimental data, and the prediction accuracy surpasses that of three commonly used models. This demonstrates that the proposed model can accurately capture the influence of non-zero mean loading and non-proportional paths on multiaxial fatigue life.

Key words: Multiaxial Fatigue, Non-Zero Mean, Non-Proportional Path, Multiaxial Stress Ratio, Fatigue Life Model

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