The Montecarlo Method in Application of Fatigue Life Reliability Analysis

Abstract:

Based on the probability theory, combined with the deterministic method for estimating the fatigue fracture mechanics, the formula was deduced to calculate the fatigue crack propagation life of examples components. The uncertainty and randomness of main assessment parameters were considered:initial crack size, practical working load,fracture toughness, mechanical intensity and coefficients. Since there are not many data, Weibull distribution was adopted to denote the life distribution of equipment approximately. A computer program was developed by using numerical integration method, and the fatigue life under given reliability and credit degree was solved. Analysis result shows that MonteCarlo simulation method can reflect objectively the uncertainty of assessment parameters and overcome the shortcomings of certainty assessment methods.

• Periodical: Applied Mechanics and Materials (Volumes 395-396)
• Pages: 822-825
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.395-396.822
• Online since: September 2013
• Authors: Yue Yang, Jia Ping Yao, Xiu Jin Yang, Zhi Bo Yang
• Keywords: Fatigue Failure Analysis, Fatigue Fracture Mechanics, MonteCarlo Simulation Method, Weibull Distribution

References

[1] JinXng, PengBo, ChangHao, The MonteCarlo Method of Reliable Life Assessment, The Arrow of The Journal of Guidance, VoL 32 No．2, (2012).

[2] ZhongJi Xu, MonteCarlo method, Shanghai Scientific and Technical Publishers, (1998).

[3] WangDuo, Mechanics of Fracture , Harbin Institute of Technology Press, 1989: 29—41.

[4] JinXing, HongYan Ji, HuaiRong Shen , Reliability Data Calculation and Application, Beijing: National Defence Industry Press, 2003: 42—56.