Finite element plastic loads for circumferential cracked pipe bends under in-plane bending

Yun-Jae Kim, Young Il Kim, Tae Kwang Song

Research output: Contribution to journalArticle

42 Citations (Scopus)


This paper proposes plastic loads (limit load and twice-elastic-slope (TES) plastic load) for pipe bends with circumferential through-wall and part-through surface cracks under in-plane bending, based on three-dimensional FE limit analyses. The material is assumed to be elastic-perfectly plastic, and both the geometrically linear (small strain) and nonlinear (large geometry change) effects are considered. Regarding a crack location, both extrados and intrados cracks are considered. Based on the FE results, closed-form approximations of limit and TES plastic loads are proposed for practical applications, and compared with corresponding solutions for straight pipes.

Original languageEnglish
Pages (from-to)643-668
Number of pages26
JournalEngineering Fracture Mechanics
Issue number5
Publication statusPublished - 2007 Mar 1



  • Circumferential part-through surface crack
  • Circumferential through-wall crack
  • Finite element limit analysis
  • In-plane bending
  • Limit load
  • Pipe bend
  • TES plastic load

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

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