On shakedown, ratchet and limit analysis of defective pipeline

Haofeng Chen, Weihang Chen, Tianbai Li, James Michael Ure

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23 Citations (Scopus)
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In this study, the limit load, shakedown and ratchet limit of a defective pipeline
subjected to constant internal pressure and a cyclic thermal gradient are analyzed. Ratchet limit and maximum plastic strain range are solved by employing the new Linear Matching Method (LMM) for the direct evaluation of the ratchet limit. Shakedown and ratchet limit interaction diagrams of the defective pipeline identifying the regions of shakedown, reverse plasticity, ratcheting and plastic collapse mechanism are presented and parametric studies involving different types and dimensions of part-through slot in the defective pipeline are investigated. The maximum plastic strain range over the steady cycle with different cyclic loading combinations is evaluated for a low cycle fatigue assessment. The location of the initiation of a fatigue crack for the defective pipeline with different slot type is determined. The proposed linear matching method provides a general-purpose technique for the evaluation of these key design limits and the plastic strain range for the low cycle fatigue
assessment. The results for the defective pipeline shown in the paper confirm the applicability of this procedure to complex 3-D structures.
Original languageEnglish
Pages (from-to)011202
Number of pages8
JournalJournal of Pressure Vessel Technology
Issue number1
Early online date1 Dec 2011
Publication statusPublished - Feb 2012


  • shakedown
  • ratchet limit
  • linear matching method
  • defective pipeline


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