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材料研究学报  2015, Vol. 29 Issue (9): 714-720    DOI: 10.11901/1005.3093.2014.651
  本期目录 | 过刊浏览 |
基于堆焊成形钛合金高周疲劳实验数据的R-S-N模型
朱良1(),王晶1,李晓慧1,锁红波2,张亦良1
1. 北京工业大学 机械与应用电子技术学院 北京 100022
2. 北京航空制造工程研究所 高能束流加工技术重点实验室 北京 100024
R-S-N Mathematical Model Based on TC18 by BW High Cycle Fatigue Test Data
Liang ZHU1,*(),Jing WANG1,Xiaohui LI1,Hongbo SUO2,Yiliang ZHANG1
1. College of Mechanical Engineering and Applied Electronics Technology Beijing University of Technology, Beijing 100022, China
2. Science and Technology on Power Beam Processing Lab Beijing Aeronautical Manufacturing Technology Research Institute, Beijing 100024, China
引用本文:

朱良,王晶,李晓慧,锁红波,张亦良. 基于堆焊成形钛合金高周疲劳实验数据的R-S-N模型[J]. 材料研究学报, 2015, 29(9): 714-720.
Liang ZHU, Jing WANG, Xiaohui LI, Hongbo SUO, Yiliang ZHANG. R-S-N Mathematical Model Based on TC18 by BW High Cycle Fatigue Test Data[J]. Chinese Journal of Materials Research, 2015, 29(9): 714-720.

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摘要: 

针对应力比对疲劳寿命影响的问题, 以TC18钛合金堆焊成形(利用多层堆焊的方法制备)试样为研究对象, 进行了3种应力比(R=0.5、R=0.06、R=-1)的疲劳实验, 得出相应的疲劳极限, 应用“应力幅值寿命模型”和“三参数寿命模型”得到6条S-N曲线。根据裂纹扩展速率与疲劳寿命的积分关系, 以两种疲劳寿命数学模型为基础, 系统地研究了应力比(R)与疲劳寿命曲线(S-N)的关系, 提出了考虑应力比的疲劳寿命(R-S-N)数学模型。根据本文提出的修正公式, 建立了适用TC18钛合金堆焊成形材料的两种R-S-N数学模型, 结果表明: 用应力幅值寿命模型可对中等疲劳寿命区进行准确的预测, 而三参数寿命模型更适合中长寿命区域的预测。提出的两种R-S-N数学模型与实验值吻合良好, 并可在工程上预测任意应力比下的疲劳寿命曲线。
关键词 ： 材料科学基础学科,  应力比,  疲劳寿命,  疲劳极限,  R-S-N数学模型    
Abstract：

For the influence of stress ratio on fatigue life, fatigue tests of TC18 titanium alloy produced by build-up welding (TC18 by BW) samples were carried out under three stress ratios (R=0.5、R=0.06、R=-1), to draw three fatigue limits and 6 S-N curves of “stress amplitude life model ” and “ three-parameter model ”. Based on the integral relationship of the crack growth rate and fatigue life and considering both of mathematical models of fatigue life, a systematic investigation of the relationship between stress ratio (R) and fatigue life curve (S-N) was performed to build the fatigue life mathematical model (R-S-N). According to the modified formula proposed in this paper, the establishment of two R-S-N mathematical models, applicable for TC18 by BW materials. The results show that “stress amplitude” model can accurately predict moderate fatigue life, and “three-parameter fatigue” model is more suitable for the prediction of long-life area. The predictive value of two proposed R-S-N mathematical models are in better agreement with the experimental values, they can accurately predict the fatigue curve under any stress ratio in engineering.
Key words： foundational discipline in materials science    stress ratio    fatigue life    fatigue limit    R-S-N mathematical models
收稿日期: 2014-11-06     
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朱良
王晶
李晓慧
锁红波
张亦良

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https://www.cjmr.org/CN/10.11901/1005.3093.2014.651      或      https://www.cjmr.org/CN/Y2015/V29/I9/714

图1  疲劳试样尺寸
Rj Number of Valid Sample Pairing Number Fatigue Limit /MPa Standard Deviation / MPa Coefficient Variation Regulation Coefficient Variation
0.5 12 6 889.17 20.7 0.023 0.040
0.06 13 6 747.08 14.2 0.019 0.040
-1 14 7 529.29 9.76 0.018 0.048
表1  疲劳极限总结果
R Smax lgSmax Sa lgSa lgN n
0.5 990 2.9956 247.5 2.3936 5 6
962.5 2.9834 240.6 2.3813 5.19 7
935 2.9708 233.8 2.3688 6.09 5
907.5 2.9578 226.9 2.3558 6.51 4
0.06 880 2.9445 413.6 2.6166 5.33 6
852.5 2.9307 400.7 2.6028 5.66 4
825 2.9165 387.8 2.5886 5.94 4
-1 600 2.7782 600 2.7782 4.57 7
560 2.7482 560 2.7482 4.82 6
550 2.7404 550 2.7404 4.88 6
表2  成组法实验结果
R Equations of Sa-N curve Equations of Smax-N curve
0.5 S a 43.22 N = 10 108.35 ( S m a x - 889.17 ) 2.14 N = 10 9.32
0.06 S a 21.8 N = 10 62.37 ( S m a x - 747.08 ) 2.61 N = 10 10.89
-1 S a 8.24 N = 10 27.47 ( S m a x - 529.29 ) 0.6 N = 10 5.68
表3  不同应力比下的Sa-N、 (Smax-S0)-N曲线方程
图2  应力比(R=0.5, R=0.06, R=-1)疲劳极限升降图
图3  Sa-N曲线
R Equations a b
0.5 S a 43.22 N = 10 108.35 108.35 43.22
0.06 S a 21.8 N = 10 62.37 62.37 21.8
-1 S a 8.24 N = 10 27.47 27.47 8.24
  
R Equations a b
0.5 ( S m a x - 889.17 ) 2.14 N = 10 9.32 9.32 2.14
0.06 ( S m a x - 747.08 ) 2.61 N = 10 10.89 10.89 2.61
-1 ( S m a x - 529.29 ) 0.6 N = 10 5.68 5.68 0.6
  
Predictive value/MPa Experimental value/MPa Relative Error/%
S ^ 50 0.5 842.73 889.17 5.22
S ^ 50 0.06 718.01 747.08 3.89
S ^ 50 - 1 529.29 529.29 0
表6  不同应力比下的疲劳极限值
图4  Smax-N曲线
图5  图5a 实测与模型的Sa-N 曲线和图5b 实测与预测的Smax-N 曲线
图6  不同R 下的Sa-N 和Smax-N 曲线
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