Principles Underpinning Reliability based Prediction of Fatigue and Fracture Behaviours

  • J. J. Xiong
  • R. A. Shenoi
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)


A series of original and practical approaches including new techniques in determining fatigue and fracture performances, phenomenological expressions for generalized constant life curves, parameter estimation formulas, the two-dimensional probability distributions of generalized strength in ultra-long life regions are proposed. New techniques on randomization approach of deterministic equations and single-point likelihood method (SPLM) are presented to address the paucity of data in determining fatigue and fracture performances based on reliability concepts. Three new randomized models of time/state-dependent processes are presented for estimating the P-a-t, P-da/dNK and P-S-N curves, by using a randomization approach of deterministic equations and single-point ikelihood method (SPLM), dealing with small sample numbers of data. The confidence level formulations for these curves are also given. Two new phenomenological expressions for generalized constant life curves are developed based on traditional fatigue constant life curve, and new parameter estimation formulas of generalized constant life curves are deduced from a linear correlation coefficient optimization approach. From the generalized constant life curves proposed, the original two-dimensional joint probability distributions of generalized strength are derived.


Fatigue Life Fatigue Strength Crack Growth Rate Fatigue Crack Growth Reliability Level 
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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Aircraft DepartmentBeihang UniversityBeijing People’s Republic of China
  2. 2. School of Engineering Sciences, University of SouthamptonSouthamptonUK

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