Energy-based time derivative damage accumulation model under uniaxial and multiaxial random loadings

Shih Chuan Tien, Haoyang Wei, Jie Chen, Yongming Liu

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


A new fatigue life prediction method using the energy-based approach under uniaxial and multiaxial random loadings is proposed. The uniqueness of the proposed model is based on a time-derivative damage accumulation unlike classical cycle-based damage accumulation models. Thus, damage under arbitrary random loading can be directly obtained using time-domain integration without cycle counting. First, a brief review of existing models is given focusing on their applicability to uniaxial/multiaxial, constant/random, and high cycle fatigue/low cycle fatigue loading regimes. Next, formulation of time-derivative damage model is discussed in detail under uniaxial random loadings. Then, an equivalent energy concept for general multiaxial loading conditions is used to convert the random multiaxial loading to an equivalent random uniaxial loading, where the time-derivative damage model can be used. Finally, the proposed model is validated with extensive experimental data from open literature and in-house testing under various constant and random spectrum loadings.

Original languageEnglish (US)
Pages (from-to)159-173
Number of pages15
JournalFatigue and Fracture of Engineering Materials and Structures
Issue number1
StatePublished - Jan 2022


  • energy-based
  • life prediction
  • multiaxial fatigue
  • random loading
  • time derivative

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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