Weight functions were derived for the deepest point and surface point of a semi-elliptical surface crack in T-plate joints with weld angles between 0 and 45°. These weight functions were derived from reference stress intensity factor solutions obtained from three-dimensional finite element calculations, and verified using stress intensity factors for different non-linear stress fields and for far-field tension and bending cases. The differences between the weight function predictions and the finite element data were less than 10%. They are suitable for semi-elliptical surface cracks with aspect ratios in the range 0.05 ≤ a/c ≤ 1, together with relative depths 0 ≤ a/t ≤ 0.6 and weld angles 0 ≤ φ ≤ 45°.

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Keywords Stress intensity factors, Surface cracks, Weight functions, Welded joints
Journal Fatigue and Fracture of Engineering Materials and Structures
Wang, X, & Lambert, S.B. (S. B.). (1998). Weight functions and stress intensity factors for semi-elliptical cracks in T-plate welded joints. Fatigue and Fracture of Engineering Materials and Structures, 21(1), 99–117.