Shakedown limit of elbow pipe under coupled cyclic thermal-mechanical loading based on the LMM

Xiaohui Chen, Yang Liu, Lin Zhu, Lang Lang, Haofeng Chen

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2 Citations (Scopus)
3 Downloads (Pure)


In this paper, the linear matching method (LMM) is used to study the shakedown limit of elbow pipes under coupled cyclic mechanical-thermal load. Firstly, the thermal stress analyses of elbow pipes under constant internal pressure and cyclic temperature load are investigated. Further, the shakedown limits of the elbow pipes are calculated using the LMM. For the verification purposes, step-by-step inelastic analyses are performed, showing different structure responses under different loading conditions. All the obtained results indicate that the LMM is able to simulate large range of coupled cyclic mechanical-thermal loading conditions with high computational efficiency, and provide shakedown limit with high accuracy. In addition, the effects of bend angles, mean radius to wall thickness ratio (r/t) and five load conditions on the shakedown behavior are also presented.

Original languageEnglish
Article number104747
Number of pages13
JournalInternational Journal of Pressure Vessels and Piping
Early online date19 Jul 2022
Publication statusPublished - 31 Oct 2022


  • elbow pipe
  • linear matching method
  • shakedown limit
  • mean radius-thickness ratio
  • coupled cyclic mechanical-thermal load


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