Estimation of fully plastic crack tip stresses from equilibrium of least upper bound circular arcs

Yun Jae Kim

Research output: Contribution to journalArticle

5 Citations (Scopus)


This paper presents a simple method to estimate fully plastic crack tip stresses based on the equilibrium condition of the least upper bounds for plane strain deformation fields consisting of rigid-body rotation across a circular arc extending from a crack tip across the remaining ligament. The method is applied to deep, single-edge-cracked specimens under combined bending and tension. For various bending-to-tension ratios, the limit loads and crack tip stresses are estimated from the present method and compared with results from finite element limit analyses. The present method gives impressive results.

Original languageEnglish
Pages (from-to)881-897
Number of pages17
JournalInternational Journal of Mechanical Sciences
Issue number5
Publication statusPublished - 2002 May 1
Externally publishedYes



  • Finite element limit analysis
  • J-integral
  • Strength mis-match
  • Test standards
  • Toughness testing

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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