Plastic limit pressures for cracked pipes using finite element limit analyses

Yun Jae Kim, Do Jun Shim, Nam Su Huh, Young Jin Kim

Research output: Contribution to journalArticlepeer-review

84 Citations (Scopus)


Based on detailed finite element (FE) limit analyses, the present paper provides approximations for plastic limit pressure solutions for plane strain pipes with extended inner axial cracks; axi-symmetric (inner) circumferential cracks; axial through-wall cracks; axial (inner) surface cracks; circumferential through-wall cracks; and circumferential (inner) surface cracks. In particular, for surface crack problems, the effect of the crack shape, semi-elliptical or rectangular, on the limit pressure is quantified. Comparisons with existing analytical and empirical solutions show a large discrepancy for short circumferential through-wall cracks and for surface cracks (both axial and circumferential). Being based on detailed 3D FE limit analysis, the present solutions are believed to be accurate, and thus to be valuable information not only for plastic collapse analysis of pressurised piping but also for estimating non-linear fracture mechanics parameters based on the reference stress approach.

Original languageEnglish
Pages (from-to)321-330
Number of pages10
JournalInternational Journal of Pressure Vessels and Piping
Issue number5
Publication statusPublished - 2002 May 5
Externally publishedYes


  • Finite element
  • Limit pressure
  • Surface cracked pipe
  • Through-wall cracked pipe

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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