Skip to main content
Log in

Stratified model for estimating fatigue crack growth rate of metallic materials

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The curve of relationship between fatigue crack growth rate and the stress strength factor amplitude represented an important fatigue property in designing of damage tolerance limits and predicting life of metallic component parts. In order to have a more reasonable use of testing data, samples from population were stratified suggested by the stratified random sample model (SRAM). The data in each stratum corresponded to the same experiment conditions. A suitable weight was assigned to each stratified sample according to the actual working states of the pressure vessel, so that the estimation of fatigue crack growth rate equation was more accurate for practice. An empirical study shows that the SRAM estimation by using fatigue crack growth rate data from different stoves is obviously better than the estimation from simple random sample model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Liu Xinwei, Yang Yongyu, Li Zhiqiang. A small sample method for testing the fatigue crack growth rate curve of pressure vessel steel[J].Journal of Beijing University of Chemical Technology (Natural Science Edition), 2000,29(6): 95–97 (in Chinese).

    Google Scholar 

  2. Wang Zhizhi, Nie Xuezhou, Wu Xiaofeng. Statistical analysis of fatigue crack growth data[J].Acta Aeronautica et Astronautica Sinica, 1993,14(3): A197-A201 (in Chinese).

    Google Scholar 

  3. Mee Robert W. Normal distribution tolerance limits for stratified random samples[J].Technometrics, 1989,31(1): 99–105.

    Article  MathSciNet  Google Scholar 

  4. Cheng Xiru.Introduction for Mathematical Statistics[M]. Science Press, Beijing, 1999, 392–394.

    Google Scholar 

  5. Zhu Shendi.Handbook of Engineering Material Mechanical Capability[M]. Machine Industry Press, Beijing, 1994, 47–48 (in Chinese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yang Yong-yu.

Additional information

Communicated by Wang Yin-bang

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yong-yu, Y., Xin-wei, L. & Fan, Y. Stratified model for estimating fatigue crack growth rate of metallic materials. Appl Math Mech 26, 515–521 (2005). https://doi.org/10.1007/BF02465391

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02465391

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

Navigation