High cycle fatigue analysis with induced residual stress based on fracture mechanics

Xuran Xiao, Volodymyr Okorokov, Donald Mackenzie

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A numerical method based on crack initiation and growth theory to predict the high cycle fatigue life with induced compressive residual stress is presented. Fatigue crack growth in a double-notched S355 low carbon steel specimen is considered. The total life of the specimen is divided into crack initiation life and crack propagation life, which can be calculated separately. To obtain the crack initiation life, an assumed crack initial length is employed to create an S-N equation for crack initiation. The process of crack propagation is simulated by finite element analysis (FEA) and the influence of compressive residual stress included by a stress superposition method, hence changing the stress intensity factor ratio. The total fatigue life with residual stress is calculated by corrected Paris law. Comparison of numerical fatigue results with previous experimental results showed good agreement, indicating that the proposed numerical fracture method is suitable for calculating high cycle fatigue life considering induced residual stress.

Original languageEnglish
Pages (from-to)111-121
Number of pages11
JournalProcedia Structural Integrity
Early online date1 Feb 2024
Publication statusPublished - 1 Feb 2024
Event21st International Conference on Fracture, Damage and Structural Health Monitoring, FDM 2023 - London, United Kingdom
Duration: 12 Sept 202314 Sept 2023


  • crack growth
  • fatigue life
  • fracture
  • residual stress


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