Approximating the upper bound in elastic stress intensity factor for a crack in an unknown residual stress field

H. E. Coules*, D. J. Smith

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

2 Citations (Scopus)

Abstract

A method for approximating an upper bound to the Mode I stress intensity factor for a crack in a two-dimensional object containing unknown thermal or residual stresses is described. It uses eigenstrain analysis and constrained maximisation to find the self-equilibrating stress distribution which imparts the maximum stress intensity after introduction of a crack. As an example we calculate limits on the stress intensity at an edge crack in a plane strain bar for thermal and residual stress loading. It is shown that uniform yield-magnitude stress perpendicular to the crack plane does not necessarily give a bounding estimate of stress intensity.

Original languageEnglish
Pages (from-to)226-240
Number of pages15
JournalEngineering Fracture Mechanics
Volume136
DOIs
Publication statusPublished - 1 Mar 2015

Keywords

  • Residual stresses
  • Stress intensity factor
  • Structural integrity assessment
  • Upper bound

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