“…Numerical and experimental analyses of welded joints were performed to understand and describe the effect of residual stress on Nomenclature: Δa, crack increment; q T , correction function; C, n, m, Paris, Forman material constants; C T , constant in correction function; E, Young modulus; K, stress intensity factor; ΔK, stress intensity factor range; N, number of cycles; R, stress intensity factor ratio; s, crack front coordinate; T, nonsingular T-stress; x, y, z, Cartesian crack tip coordinates; r, θ, polar crack tip coordinates; X, Y, Z, Cartesian global coordinates; ν, Poisson ratio; σ Y , yield stress Subscripts: app, applied; ell, ellipse; max, maximum; min, minimum; res, residual; C, critical distributions of the stress intensity factor along the crack front and fatigue crack propagation rate. [10][11][12][13][14] In spite of significant progress in the study of the effect of welding residual stress on the fatigue crack growth rate, the interpretation of most results is given in terms of the stress intensity factor in the framework of the validity of linear elastic fracture mechanics. It should be noted that other failure theories such strain-based criteria can also be used to predict the fatigue life of welded structures.…”