Reconstruction of the Probabilistic S-N Curves Under Fatigue Life Following Lognormal Distribution With a Given Confidence

ZHAO Yong-xiang; YANG Bing; PENG Jia-chun

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(4): 413-418

ZHAO Yong-xiang, YANG Bing, PENG Jia-chun. Reconstruction of the Probabilistic S-N Curves Under Fatigue Life Following Lognormal Distribution With a Given Confidence[J]. Applied Mathematics and Mechanics, 2007, 28(4): 413-418.

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Reconstruction of the Probabilistic S-N Curves Under Fatigue Life Following Lognormal Distribution With a Given Confidence

State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, P. R. China

Received Date: 2005-12-13
Rev Recd Date: 2007-01-30
Publish Date: 2007-04-15

Abstract

Abstract

When the historic probabilistic S-N curves were given under special survival probability and confidence levels and there is no possibility to retest, fatigue reliability analysis at other levels can not be done except for the special levels. Therefore, the widely applied curves are expected. Monte Carlo reconstruction methods of the test data and the curves are investigated under fatigue life following lognormal distribution. To overcome the non-conservative assessment of existent man-made enlarging the sample size up to thousands, a simulation policy is employed to address the true production which the sample size is controlled less than 20 for material specimens, 10 for structural component specimens and the errors matching the statistical parameters less than 5%. Availability and feasibility of the present methods have been indicated by the reconstruction practice of the test data and curves for 60Si2Mn high strength spring steel of railway industry.
- fatigue,
- probabilistic S-N curves,
- reconstruction,
- Monte Carlo simulation

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References(16)

References

[1]	铁道部科学研究院金属及化学研究所. 铁路常用材料P-S-N曲线及Goodman图手册[R]. 北京：铁道部科学研究院金属及化学研究所, 1999.
[2]	Chamis C C.Probabilistic simulation of multi-scale composite behavior[J].Theoretical and Applied Fracture Mechanics,2004,41(1/3):51-61. doi: 10.1016/j.tafmec.2003.11.005
[3]	Todinov M T. Probability distribution of fatigue life controlled by defects[J].Computers and Structures,2001,79(3):313-318. doi: 10.1016/S0045-7949(00)00135-8
[4]	Mao H Y,Mahadevan S. Reliability analysis of creep-fatigue failure[J].International Journal of Fatigue,2000,22(9):789-797. doi: 10.1016/S0142-1123(00)00046-3
[5]	Sun Z, Daniel I M, Luo J J. Modeling of fatigue damage in a polymer matrix composite[J].Materials Science and Engineering,A2003,361(1/2):302-311.
[6]	Rajasankar J, Iyer N R, Rao T V S R A. Structural integrity assessment of offshore tubular joints based on reliability analysis[J].International Journal of Fatigue,2003,25(7):609-619. doi: 10.1016/S0142-1123(03)00021-5
[7]	Luo J, Bowen P. A probabilistic methodology for fatigue life prediction[J].Acta Materialia,2003,51(12):3537-3550. doi: 10.1016/S1359-6454(03)00172-1
[8]	Lassen T, Srensen J D.A probabilistic damage tolerance concept for welded joints—Part 1: data base and stochastic modeling[J].Marine Structures,2002,15(6):599-613. doi: 10.1016/S0951-8339(02)00020-5
[9]	Khaleel M A, Simonen F A.A model for predicting vessel failure probabilities including the effects of service inspection and flaw sizing errors[J].Nuclear Engineering and Design,2000,200(3):353-369. doi: 10.1016/S0029-5493(00)00244-2
[10]	Siddiqui N A, Ahmad S. Fatigue and fracture reliability of TLP tethers under random loading[J].Marine Structures,2001,14(3):331-352. doi: 10.1016/S0951-8339(01)00005-3
[11]	魏建锋,郑修麟,丁召荣. 变幅载荷下疲劳寿命预测及其模拟结果[J].机械强度,1999,21(1):66-68.
[12]	濮进. 长寿命区疲劳寿命概率分布[J].机械强度,2001,23(1):43-46.
[13]	叶乃全,胡毓仁,陈伯真.超静定结构系统疲劳可靠性分析的蒙特卡洛方法[J].上海交通大学学报, 1998,32(11):8-12.
[14]	丁克勤,柳春图.海洋平台E362Z35钢表面疲劳裂纹扩展速率的蒙特卡洛模拟[J]. 海洋工程, 1998,16(2):90-95.
[15]	赵永翔,杨冰, 彭佳纯,等. 概率疲劳极限与可靠性曲线的Monte Carlo模拟重构技术[R]. 成都：西南交通大学牵引动力实验室,2005.
[16]	赵永翔,高庆,王金诺.估计三种常用应力-寿命模型概率设计S-N曲线的统一方法[J].核动力工程,2001,22(1):42-52.