Quantification of the yield strength-to-elastic modulus ratio effect on TES plastic loads from finite element limit analyses of elbows

Kuk Hee Lee, Chang Sik Oh, Yun Jae Kim, Kee Bong Yoon

Research output: Contribution to journalArticle

17 Citations (Scopus)


This paper quantifies the effect of the yield strength-to-elastic modulus ratio on twice-elastic-slope plastic loads for 90-degree elbows under in-plane and out-of-plane bending. Based on extensive and systematic finite element limit analyses using elastic-perfectly plastic materials, simple regression equations between the yield strength-to-elastic modulus ratio and twice-elastic-slope plastic loads for elbows under in-plane closing, in-plane opening and out-of-plane bending are proposed, and validated against published experimental data. Applicability of the proposed equations to circumferential cracked elbows under in-plane bending is also investigated.

Original languageEnglish
Pages (from-to)856-875
Number of pages20
JournalEngineering Fracture Mechanics
Issue number7
Publication statusPublished - 2009 May 1



  • Elbow
  • Finite element limit analysis
  • Large geometry change
  • Plastic load
  • Twice-elastic-slope

ASJC Scopus subject areas

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

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