Parametric equations for T-butt weld toe stress intensity factors

F.P. Brennan, W.D. Dover, R.F. Karé, A.K. Hellier

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


This paper describes the generation of parametric equations for weld toe stress intensity factors. The methodology employed used a two-dimensional finite element analysis to evaluate the `crack opening' stress distribution in the uncracked plane of T-butt geometries. This was then used as input into a dedicated weight function solution for the determination of stress intensity factors. The final parametric equations describe the stress intensity factor distributions for tension and bending as a function of plate thickness, weld attachment width, weld angle, weld root radius, crack length and crack shape. The equations are compared and validated against a wide spectrum of published values and appear by comparison accurate and wide ranging. The validation exercise uncovered situations where present design guidance is unconservative.

Original languageEnglish
Pages (from-to)1051-1062
Number of pages12
JournalInternational Journal of Fatigue
Issue number10
Publication statusPublished - 30 Nov 1999


  • T-butt
  • weld toe
  • crack
  • stress intensity factor
  • weight function
  • parametric equation
  • fatigue life
  • engineering design


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