Effect of vertex singularities on stress intensities near plate free surfaces

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The formation mechanism of characteristic region at crack initiation for very-high-cycle fatigue of high-strength steels (2016, background): “For the cases of large curvature notched specimens [39,40], the stress concentration on the notch root is severe, which leads to crack initiation and growth inevitably from the notch root including in VHCF circumstances.”
A disk-shaped domain integral method for the computation of stress intensity factors using tetrahedral meshes (2015, background): “(iii) On the other hand, for the antisymmetric loading condition, the corner singularity is stronger than a crack singularity, and therefore the local K II approaches infinity at the free surfaces (Nakamura and Parks, 1989; Benthem, 1977; Bažant and Estenssoro, 1979; Benthem, 1980; He et al., 2015).”
The nature and the mechanism of crack initiation and early growth for very-high-cycle fatigue of metallic materials – An overview (2016, result): “This aspect is less reported in VHCF literature and may be referred to some recent results about the three dimensional analyses on the trend of stress intensity factors at crack tip [94,95].”