Analytical calculation of stress intensity factor of cracked steel I-beams with experimental analysis and 3D digital image correlation measurements

E. Ghafoori, M. Motavalli

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52 Citations (Scopus)


An analytical method to calculate the stress intensity factor for cracked steel I-beams under both bending moment and axial load is presented. The method is based on the approach of crack surface widening energy release rate. The crack surface widening energy release rate is formulated by a G*-integral and elementary strength theory of materials. Comparisons between the analytical results and results available in the literature for specific cases demonstrate the validity of the methodology. Furthermore, the fatigue and fracture behavior of the steel I-beam are experimentally investigated. The fatigue crack growth rate, residual deflection and stiffness reduction of a cracked beam under cyclic loading are studied. A three-dimensional digital image correlation system is used to illustrate the stress evolution pattern and the plasticity zone around the crack tip using image processing technique, thereby providing further verification of the theoretical models.

Original languageEnglish
Pages (from-to)3226-3242
Number of pages17
JournalEngineering Fracture Mechanics
Issue number18
Publication statusPublished - Dec 2011
Externally publishedYes


  • 3D digital image correlation system
  • Fatigue crack growth
  • Fracture mechanics
  • Steel I-beam
  • Stress intensity factor

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