A critical plane-energy model for multiaxial fatigue life prediction

H. Wei, Yongming Liu

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


A new critical plane-energy model is proposed in this paper for multiaxial fatigue life prediction of metals. A brief review of existing methods, especially on the critical plane-based and energy-based methods, is given first. Special focus is on the Liu–Mahadevan critical plane approach, which has been shown to work for both brittle and ductile metals. One potential drawback of the Liu–Mahadevan model is that it needs an empirical calibration parameter for non-proportional multiaxial loadings because only the strain terms are used and the out-of-phase hardening cannot be explicitly considered. An energy-based model using the Liu–Mahadevan concept is proposed with the help of the Mróz–Garud plasticity model. Thus, the empirical calibration for non-proportional loading is not needed because the out-of-phase hardening is naturally included in the stress calculation. The model predictions are compared with experimental data from open literature, and the proposed model is shown to work for both proportional and non-proportional multiaxial loadings without the empirical calibration.

Original languageEnglish (US)
Pages (from-to)1973-1983
Number of pages11
JournalFatigue and Fracture of Engineering Materials and Structures
Issue number12
StatePublished - Dec 2017


  • critical plane
  • energy
  • life prediction
  • multiaxial fatigue
  • non-proportional loading

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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