Limit load solutions for pipes with through-wall crack under single and combined loading based on finite element analyses

Nam Su Huh, Yun Jae Kim, Young Jin Kim

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


The present paper provides plastic limit load solutions for axial and circumferential through-wall cracked pipes based on detailed three-dimensional (3D) finite element (FE) limit analysis using elastic-perfectly plastic behavior. As a loading condition, axial tension, global bending moment, internal pressure, combined tension and bending, and combined internal pressure and bending are considered for circumferential through-wall cracked pipes, while only internal pressure is considered for axial through-wall cracked pipes. In particular, more emphasis is given for through-wall cracked pipes subject to combined loading. Comparisons with existing solutions show a large discrepancy in short through-wall crack (both axial and circumferential) for internal pressure. In the case of combined loading, the FE limit analyses results show the thickness effect on limit load solutions. Furthermore, the plastic limit load solution for circumferential through-wall cracked pipes under bending is applied to derive plastic η and γ factor of testing circumferential through-wall cracked pipes to estimate fracture toughness. Being based on detailed 3D FE limit analysis, the present solutions are believed to be meaningful for structural integrity assessment of through-wall cracked pipes.

Original languageEnglish
Pages (from-to)468-473
Number of pages6
JournalJournal of Pressure Vessel Technology, Transactions of the ASME
Issue number3
Publication statusPublished - 2007 Aug
Externally publishedYes


  • Axial through-wall crack
  • Circumferential through-wall crack
  • Combined internal pressure and bending
  • Combined tension and bending
  • Finite element limit analysis
  • Plastic limit load

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Mechanics of Materials
  • Mechanical Engineering


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