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Stress Intensity Factors

Validation of Mode I stress intensity factor (KI) computations against closed-form solutions using two independent methods: the J-Integral and the Crack Opening Displacement (CROD) method. All cases achieve a maximum difference of 1%.

J-Integral Method

Crack in an Infinite Body - Max Difference 0.9% Centre Crack in a Finite-Width Strip - Max Difference 1.0% Edge Crack in a Semi-Infinite Body - Max Difference 1.1% Cracks Emanating from a Hole in an Infinite Body - Max Difference 0.9%

Test cases:

  • 3.1 Crack in an infinite body — KI = σ√(πa)
  • 3.2 Centre crack in a finite-width strip — finite-width correction factor
  • 3.3 Edge crack in a semi-infinite body — correction factor 1.1215
  • 3.4 Cracks emanating from a hole — Bowie problem

Download — Crack in infinite body Download — Centre crack Download — Edge crack Download — Cracks from hole

Crack Opening Displacement (CROD) Method

Crack in an Infinite Body - Max Difference 6.2% Centre Crack in a Finite-Width Strip - Max Difference 6.2% Edge Crack in a Semi-Infinite Body - Max Difference 2.5% Cracks Emanating from a Hole in an Infinite Body - Max Difference 5%

Test cases:

  • 3.5 Crack in an infinite body
  • 3.6 Centre crack in a finite-width strip
  • 3.7 Edge crack in a semi-infinite body
  • 3.8 Cracks emanating from a hole