• CN:11-2187/TH
  • ISSN:0577-6686

›› 2009, Vol. 45 ›› Issue (11): 312-316.

• 论文 • 上一篇    

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椭圆方程式的多轴疲劳寿命预测模型

赵勇铭;宋迎东   

  1. 南京航空航天大学能源与动力学院
  • 发布日期:2009-11-15

Multi-axial Fatigue Life Prediction Model in Elliptic Equation Form

ZHAO Yongming;SONG Yingdong   

  1. College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics
  • Published:2009-11-15

摘要: 建立一种椭圆方程式的多轴常幅疲劳寿命预测模型,该模型采用临界平面概念,以临界平面上的最大切应变幅和法向应变程作为基本参数,并引入最大等效应力来考虑非比例循环附加硬化的影响。对该模型的理论分析表明,在单轴拉伸及单轴扭转应力状态下该模型能退化为常规的疲劳应变寿命模型,具有很好的兼容性。采用现有的304不锈钢和S45C钢材料的多轴疲劳试验数据对该模型及其他几种经典的多轴疲劳寿命模型进行寿命预测分散带及标准差的对比,结果显示该疲劳寿命预测模型的寿命分散带和标准差最小。分析表明,所建立的疲劳寿命预测模型可同时适用于多轴比例与非比例循环加载,且具有较小的寿命分散带和标准差,预测精度高,材料适用范围较广,计算方便可行。

关键词: 多轴非比例载荷, 多轴疲劳, 椭圆形态

Abstract: A new multi-axial fatigue model based on the ellipse equation is developed. The model is based on the concept of critical plane, uses the parameters of maximum shear strain amplitude and normal strain excursion in the critical plane, and considers the effect of additional cyclic hardening by introducing maximum equivalent stress. Theoretical analysis shows that the model can degenerate to the traditional strain based life prediction model under uniaxial tension or torsion loading, which proves the good compatibility of the new model. By adopting the multi-axial fatigue test data of 304 stainless steel and S45C steel, the life prediction scatter band and standard error of the model are compared with those of the traditional multi-axial fatigue life prediction models, which indicates that the scatter band and standard error of the life predicted by the new model are least. The analysis shows that the new model can be applied to both proportional and non-proportional loading in many materials with low life scatter band and standard error. The computation is simple and feasible.

Key words: Elliptic equation form, Multi-axial fatigue, Non-proportional multi-axial loading

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