Stochastic approach to the fatigue reliability

Yuan Jie Lua*, Wing Kam Liu, Ted Belytschko

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, the stochastic approach, which combines the mixed boundary integral equation method (Lua et al (1992a)) with the First Order Reliability Method (FORM), is applied to study probabilistic fatigue crack growth. The direct differentiation coupled with the response-surface method is employed to determine the response gradient. The sensitivity of random processes presented in the response gradient is determined using the first order response model. The HL-RF iteration method is applied to locate the most probable failure point on the limit state surface. The accuracy and efficiency of the present approach are demonstrated through a fatigue crack growth problem with randomness in the crack geometry, defect geometry, fatigue parameters and external loads.

Original languageEnglish (US)
Title of host publicationProbabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference
PublisherPubl by ASCE
Pages324-327
Number of pages4
ISBN (Print)0872628736
StatePublished - Dec 1 1992
EventProceedings of the 6th ASCE Specialty Conference on Probabilistic Mechanics, and Structural and Geotechnical Reliability - Denver, CO, USA
Duration: Jul 8 1992Jul 10 1992

Other

OtherProceedings of the 6th ASCE Specialty Conference on Probabilistic Mechanics, and Structural and Geotechnical Reliability
CityDenver, CO, USA
Period7/8/927/10/92

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Lua, Y. J., Liu, W. K., & Belytschko, T. (1992). Stochastic approach to the fatigue reliability. In Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference (pp. 324-327). Publ by ASCE.