Approximate J estimates for combined primary and secondary stresses with large elastic follow-up

Tae Kwang Song, Chang Young Oh, Yun Jae Kim, Robert A. Ainsworth, Kamran Nikbin

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12 Citations (Scopus)


This paper proposes the V-factor for approximate J estimates under combined primary and secondary stresses with large elastic follow-up within the failure assessment diagram approach. The elastic follow-up is characterized by three parameters. The first two are the relative magnitudes of the primary load and of the secondary stress, β. The third parameter is the initial slope of the Vo-β curve where Vo is the value of V for zero primary load. Elastic follow-up effects are more pronounced for contained yielding, smaller β and a larger initial slope of the Vo-β curve. An approximate expression for V/Vo is proposed, showing good agreements with finite element solutions.

Original languageEnglish
Pages (from-to)217-231
Number of pages15
JournalInternational Journal of Pressure Vessels and Piping
Publication statusPublished - 2013 Nov

Bibliographical note

Funding Information:
This research is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MEST) (No. 2012M2B2A9A02029354 ).


  • Elastic follow-up
  • Finite element analysis
  • J-integral
  • Reference stress
  • Secondary stress effect

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering

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