Application of inverse first-order reliability method for probabilistic fatigue life prediction

Yibing Xiang, Yongming Liu

Research output: Contribution to journalArticlepeer-review

55 Scopus citations


A general probabilistic life prediction methodology for accurate and efficient fatigue prognosis is proposed in this paper. The proposed methodology is based-on an inverse first-order reliability method (IFORM) to evaluate the fatigue life at an arbitrary reliability level. This formulation is different from the forward reliability problem, which aims to calculate the failure probability at a fixed time instant. The variables in the fatigue prognosis problem are separated into two categories, i.e., random variables and index variables. An efficient searching algorithm for fatigue life prediction is developed to find the corresponding index variable at a certain confidence level. Numerical examples using direct Monte Carlo simulation and the proposed IFORM method are compared for algorithm verification. Following this, various experimental data for metallic materials are used for model prediction validation.

Original languageEnglish (US)
Pages (from-to)148-156
Number of pages9
JournalProbabilistic Engineering Mechanics
Issue number2
StatePublished - Apr 2011
Externally publishedYes


  • Fatigue crack growth
  • Inverse FORM
  • Life prediction
  • Reliability

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Civil and Structural Engineering
  • Nuclear Energy and Engineering
  • Condensed Matter Physics
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering


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