Plastic limit loads of 90° elbow with local wall-thinning using small strain FE limit analyses (II)

Jong Hyun Kim, Joong Hyok An, Seok Pyo Hong, Yun Jae Kim, Chi Yong Park

Research output: Contribution to journalArticle


This paper proposes closed-form plastic limit load solutions for elbows under in-plane bending, via three-dimensional (3-D), small strain FE limit analyses using elastic-perfectly plastic materials. A wide range of elbow and thinning geometries are considered. For systematic analyses of the effect of the axial thinning length on limit loads, two limiting cases are considered; a sufficiently long wall thinning, and the circumferential part-through surface crack. Closed-form plastic limit load solutions for wall thinning with intermediate longitudinal extents are then obtained from these two limiting cases. The effect of the axial extent of wall thinning on plastic limit loads for elbows is highlighted by comparing that for straight pipes. Although the proposed solutions are developed for the case when wall thinning exists in the center of elbows, it is also shown that they can be applied to the case when wall thinning exists anywhere within the elbow.

Original languageEnglish
Pages (from-to)496-505
Number of pages10
JournalTransactions of the Korean Society of Mechanical Engineers, A
Issue number4
Publication statusPublished - 2007 Apr 1



  • Bending moment
  • Elbow
  • FE analysis
  • Plastic limit load
  • Wall thinning

ASJC Scopus subject areas

  • Mechanical Engineering

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