Threshold stress intensity factor and crack growth rate prediction under mixed-mode loading

Yongming Liu, Sankaran Mahadevan

Research output: Contribution to journalArticlepeer-review

85 Scopus citations


A new mixed-mode threshold stress intensity factor is developed using a critical plane-based multiaxial fatigue theory and the Kitagawa diagram. The proposed method is a nominal approach since the fatigue damage is evaluated using remote stresses acting on a cracked component rather than stresses near the crack tip. An equivalent stress intensity factor defined on the critical plane is proposed to predict the fatigue crack growth rate under mixed-mode loading. A major advantage is the applicability of the proposed model to many different materials, which experience either shear or tensile dominated crack growth. The proposed model is also capable to nonproportional fatigue loading since the critical plane explicitly considers the influence of the load path. The predictions of the proposed fatigue crack growth model under constant amplitude loading are compared with a wide range of fatigue results in the literature. Excellent agreements between experimental data and model predictions are observed.

Original languageEnglish (US)
Pages (from-to)332-345
Number of pages14
JournalEngineering Fracture Mechanics
Issue number3
StatePublished - Feb 2007
Externally publishedYes


  • Crack growth
  • Fatigue crack
  • Mixed-mode loading
  • Threshold stress intensity factor

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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