Elastic-plastic J and COD estimates for axial through-wall cracked pipes

Yun Jae Kim, Nam Su Huh, Young Jae Park, Young Jin Kim

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


This paper proposes engineering estimation equations of elastic-plastic J and crack opening displacement (COD) for axial through-wall cracked pipes under internal pressure. On the basis of detailed 3D finite element (FE) results using deformation plasticity, the plastic influence functions for fully plastic J and COD solutions are tabulated as a function of the mean radius-to-thickness ratio, the normalised crack lenght, and the strain hardening. On the basis of these results, the GE/EPRI-type J and COD estimation equations are proposed and validated against 3D FE results based on deformation plasticity. For more general application to general stress-strain laws or to complex loading, the developed GE/EPRI-type solutions are re-formulated based on the reference stress (RS) concept. Such a re-formulation provides simpler equations for J and COD, which are then further extended to combined internal pressure and bending. The proposed RS based J and COD estimation equations are compared with elastic-plastic 3D FE results using actual stress-strain data for Type 316 stainless steels. The FE results for both internal pressure cases and combined internal pressure and bending cases compare very well with the proposed J and COD estimates.

Original languageEnglish
Pages (from-to)451-464
Number of pages14
JournalInternational Journal of Pressure Vessels and Piping
Issue number6
Publication statusPublished - 2002 Jun 6
Externally publishedYes


  • Axial through-wall crack
  • Crack opening displacement
  • Finite element
  • J-integral
  • Plastic influence functions
  • Reference stress approach

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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