An over‐deterministic method for calculation of coefficients of crack tip asymptotic field from finite element analysis

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A Further Improved Maximum Tangential Stress Criterion for Assessing Mode I Fracture of Rocks Considering Non-singular Stress Terms of the Williams Expansion (2018, background): “(1) (Ayatollahi and Nejati 2011), in terms of the crack tip coordinate system shown in Fig.”
Size and Geometry Effects on Rock Fracture Toughness: Mode I Fracture (2014, background): “(8) can be determined analytically for simple geometries (Karihaloo and Xiao 2001a, b) and numerically for more complicated cracked specimens (Ayatollahi and Nejati 2011).”
On the use of quarter-point tetrahedral finite elements in linear elastic fracture mechanics (2015, methodology): “Some techniques such as the over-deterministic approach, which was originally developed for experimental estimation of the SIFs (Dally and Riley, 1991), have recently been applied to estimate the 2D crack and sharp notch parameters from the FE displacement solutions (Ayatollahi and Nejati, 2011a,b).”