TECHNICAL PAPERS
Apr 1, 1984

Advanced Reliability Method for Fatigue Analysis

Publication: Journal of Engineering Mechanics
Volume 110, Issue 4

Abstract

When design factors are considered as random variables and the failure condition cannot be expressed by a closed form algebraic inequality, computations of risk (or probability of failure) may become extremely difficult or very inefficient. This study suggests using a simple and easily constructed second degree polynomial to approximate the complicated limit state in the neighborhood of the design point; a computer analysis relates the design variables at selected points. Then a fast probability integration technique (i.e., the Rackwitz‐Fiessler algorithm) can be used to estimate risk. The capability of the proposed method is demonstrated in an example of a low cycle fatigue problem for which a computer analysis is required to perform local strain analysis to relate the design variables. A comparison of the performance of this method is made with a far more costly Monte Carlo solution. Agreement of the proposed method with Monte Carlo is considered to be good.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Chen, X., and Lind, N. C., “A New Method of Fast Probability Integration,” Solid Mechanics Division, University of Waterloo, Canada. Paper No. 171, June, 982.
2.
Collins, J. A., Failure of Materials in Mechanical Design, John Wiley and Sons, Inc., New York, 1981.
3.
Ditlevsen, O., “Principle of Normal Tail Approximation,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM6, Dec., 1981, pp. 1191–1208.
4.
Ellingwood, B., Galambos, T. V., MacGregor, J. G., and Cornell, C. A., “Development of a Probability Based Load Criterion for American National Standard A58,” NBS Special Publication 577, June, 1980.
5.
Fiessler, B., Neumann, H., and Rackwitz, R., “Quadratic Limit States in Structural Reliability,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM4, Aug., 1979, pp. 661–676.
6.
Fuchs, H. O., and Stephens, R. I., Metal Fatigue in Engineering, John Wiley and Sons, Inc., New York, 1980.
7.
Hasofer, A. M., and Lind, N. C., “Exact and Invariant Second‐Moment Code Format,” Journal of the Engineering Mechanics Division, ASCE, Vol. 100, No. EM1, Feb., 1978, pp. 111–121.
8.
Hohenbichler, M., Rackwitz, R., “Non‐normal Dependent Vectors in Structural Safety,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM6, Dec., 1981, 1227–1238.
9.
Leporati, E., “The Assessment of Structural Safety,” Research Studies Press, 1979.
10.
Montgomery, D. C., Introduction to Linear Regression Analysis, John Wiley and Sons, Inc., New York, 1982.
11.
Powell, M. J. D., “An Efficient Method for Finding the Minimum of a Function of Several Variables Without Calculating Derivatives,” The Computer Journal, Vol. 7, 1964, pp. 155–162.
12.
Rackwitz, R., and Fiessler, B., “Notes on Discrete Safety Checking when using Non‐Normal Stochastic Models for Basic Variables,” Loads Project Working Session, Massachusetts Institute of Technology, Cambridge, Mass., June, 1976.
13.
Rackwitz, R., and Fiessler, B., “Structural Reliability Under Combined Random Load Sequences,” Journal of Computers and Structures, Vol. 9, 1978, pp. 489–494.
14.
Thoft‐Christensen, P., and Baker, M. J., Structural Reliability Theory and Its Applications, Springer‐Verlag, N.Y., 1982.
15.
Wirsching, P. H., “Application of Probabilistic Design Theory to High Temperature Low Cycle Fatigue,” NASA CR‐165488, NASA Lewis Research Center, Cleveland, Ohio, Nov., 1981.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 110Issue 4April 1984
Pages: 536 - 553

History

Published online: Apr 1, 1984
Published in print: Apr 1984

Permissions

Request permissions for this article.

Authors

Affiliations

Yih‐Tsuen Wu
Grad. Assoc., Dept. of Aerospace and Mech. Ervgrg., Univ. of Arizona, Tucson, Ariz. 85721
Paul H. Wirsching, M. ASCE
Prof., Dept. of Aerospace and Mech. Engrg., Univ. of Arizona, Tucson, Ariz. 85721

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share