• CN:11-2187/TH
  • ISSN:0577-6686

›› 2012, Vol. 48 ›› Issue (20): 51-56.

• 论文 • 上一篇    下一篇

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考虑裂尖疲劳损伤的材料疲劳裂纹扩展行为研究

陈龙;蔡力勋   

  1. 西南交通大学力学与工程学院
  • 发布日期:2012-10-20

Research on Fatigue Crack Growth Behavior of Materials by Considering the Fatigue Damage near the Crack Tip

CHEN Long;CAI Lixun   

  1. School of Mechanics and Engineering, Southwest Jiaotong University
  • Published:2012-10-20

摘要: 基于低周疲劳Manson-Coffin关系,定义I型裂纹疲劳扩展区内关于应变幅的平均疲劳损伤参量,并结合Miner线性累积损伤理论,通过弹塑性有限元法实现材料疲劳裂纹扩展速率的预测模拟,同时也建立以显式理论公式来描述疲劳裂纹扩展速率规律的新型预测模型。在进行有限元模拟分析中借助裂尖单调塑性区平均疲劳损伤达到临界损伤即完成一次步进扩展的假定。在显式理论公式推导中采用裂尖循环塑性区平均疲劳损伤达到临界损伤即完成一次步进扩展的假定。以大型汽轮机转子材料Cr2Ni2MoV钢、航空材料TA12合金和304不锈钢材料为例,应用所提出的两种疲劳裂纹扩展速率预测方法对其进行预测,并同试验结果进行对比。对比分析表明,两种方法对材料的疲劳裂纹扩展速率行为预测均具有较高的模拟精度,而理论预测模型相比有限元模拟方法预测范围拓宽,预测精度更好,方便于根据包括材料手册的资料中低周疲劳Manson-Coffin试验关系来直接获取I型裂纹疲劳裂纹扩展速率表达式。

关键词: 低周疲劳应变损伤, 疲劳扩展区, 疲劳裂纹扩展速率, 分形理论, 硅酸镓镧, 接触刚度, 结构函数, 石英, 压电传感器/力敏

Abstract: Based on Manson-Coffin relationship, a strain fatigue damage parameter is defined. And, by combined with the Miner linear accumulative damage theory, an elastic-plastic finite element method to predict fatigue crack propagation(FCG) is given. What’s more, a new FCG prediction model is presented either. During the finite element analysis stages, the fatigue process zone equals the plastic zone under monotonic straining near the crack tip, and the fatigue damage is consisted of elastic-plastic strain damage. Besides, in order to obtain an explicit prediction formula, the fatigue process zone is defined as the plastic zone under cyclic straining, in which only the plastic strain damage is considered. By applying both the finite element prediction method and the FCG prediction model to three materials:Cr2Ni2MoV steel, TA12 alloy and 304 stainless steel, it is found that the prediction results are consistent with the corresponding test results. Meanwhile, compared to the finite element simulation method, the prediction ability of the FCG prediction model has larger prediction range and higher accuracy. Therefore, it is easier to be applied to directly obtaining the FCG formula of opening mode crack based on the Manson-Coffin formula from the reference manual in engineering.

Key words: Fatigue crack growth, Fatigue process zone, Low cyclic fatigue strain damage, contact stiffness, fractal theory, langasite, quartz, structure function, Piezoelectric sensors/ force-sensitive

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