Evaluating shakedown under proportional loading by non-linear static analysis

D. Mackenzie, R. Hamilton, Martin Muscat

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


A lower bound method for calculating shakedown loads under proportional loading by static non-linear finite element analysis is presented. Stress fields obtained by static analysis and stress superposition are substituted into Melan's lower bound shakedown theorem. The proposed method is applied to two sample problems: a thick cylinder under internal pressure and a square plate with a central hole under proportional biaxial loading. The results indicate that the method gives accurate lower bound shakedown loads for these problems.
Original languageEnglish
Pages (from-to)1727-1737
Number of pages10
JournalComputers and Structures
Issue number17
Publication statusPublished - 2003


  • plasticity
  • cyclic loading
  • incremental plastic collapse
  • shakedown
  • ratchetting
  • plastics
  • mechanical engineering


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