This paper presents the application of the weight function method for the calculation of elastic T-stress for semi-elliptical surface cracks. First, the weight function method for the calculation of T-stress previously developed for two-dimensional crack problems was extended for the T-stress calculation for three-dimensional crack problems. Then, the T-stress weight functions for the deepest point (corresponding to the parametric angle φ = 90°) and for any general point (5° ≤ φ < 90°) along the crack front of semi-elliptical surface cracks in finitethickness plates for wide ranges of crack aspect ratios a/c and relative depths a/t were derived. The resulting weight functions were validated using available finite element results for non-linear stress fields and remote tension and bending cases, and very good agreement was achieved. The weight functions are suitable for the calculation of the T-stress under complex loading conditions for any general point (5° ≤ φ ≤ 90°) of surface cracks with wide ranges of aspect ratios, 0 ≤ a/c ≤ 1, and relative depths, 0 ≤ a/t ≤ 0.8.

Additional Metadata
Keywords Elastic T-stress, Non-uniform stress distribution, Surface crack, Weight function
Persistent URL dx.doi.org/10.1243/030932405X16043
Journal Journal of Strain Analysis for Engineering Design
Citation
Yu, X. (Xiao), & Wang, X. (2005). Weight functions for T-stress for semi-elliptical surface cracks in finite-thickness plates. Journal of Strain Analysis for Engineering Design, 40(5), 403–419. doi:10.1243/030932405X16043