Plastic limit loads of 90° elbows with local wall thinning using small strain FE limit analyses (I). Internal pressure

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

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2 Citations (Scopus)


This paper proposes closed-form plastic limit load solutions for elbow with local wall thinning at extrados under internal pressure. This work was performed using 3-dimensional, small strain FE analyses based on elastic-perfectly plastic materials. The wide range of elbow and local wall thinning geometries are considered. For systematic analyses for effect of axial thinning extent on limit loads, two limiting cases are considered; a sufficiently long thinning, and the circumferential part-through surface crack. Then, the closed-form plastic limit load solutions for intermediate thinning are obtained by using result of two limiting cases. The effect of axial thinning extent for elbow on plastic limit load is highlighted by comparing with that for straight pipes. Although the proposed limit load solutions are developed for the case when local wall thinning exist in the center of elbow, it is also shown that they can be applied to the case when local wall thinning exists anywhere within elbow.

Original languageEnglish
Pages (from-to)586-593
Number of pages8
JournalTransactions of the Korean Society of Mechanical Engineers, A
Issue number5
Publication statusPublished - 2007 May



  • Elbow
  • FE analysis
  • Internal pressure
  • Local wall thinning
  • Plastic limit load

ASJC Scopus subject areas

  • Mechanical Engineering

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