A B S T R A C T The paper investigates the influence of highly localised stress distribution around the notch tips of the laser stake-welded T-joints to the slope of the fatigue resistance curve. The study considers experimental data of eight series involving joints under tension or bending loads. Various boundary conditions and plate thicknesses are considered. The stress distribution in the singularity-dominated zone ahead of the notch tips is investigated by means of the finite element analysis. The aim is to relatively distinguish the stress distribution from one case to another. The growth rate of the elastic singular stress with respect to the distance from the tip is described by the dimensionless gradient. This gradient is equal to the slope of the linear stress-distance function when presented in double-logarithmic scale. The slope of the fatigue resistance curve varies approximately from 4 to 8. It is observed that the change of the slope can be closely associated with the gradient of the maximum principal stress evaluated in the plane that is orthogonal to the crack path. The orthogonal plane corresponds to the maximum principal stress direction. In contrast, there is a large scatter in the relation between the slope and the gradient evaluated in the commonly assumed crack plane. The study shows that the dimensionless gradient exhibits sensitivity towards plate thicknesses, local weld geometry and the loading condition.Keywords laser stake-welds; fatigue testing; J-integral; stress gradient; stress state.
N O M E N C L A T U R Ea 1 , a 2 = notch depths [mm] C = material constant [À] e weld = offset of weld [mm] E = Young's modulus [MPa] h g = distance between joint plates [mm] J =J-integral [MPa mm] k ϕ = rotational stiffness [kN] l p = length of panel [mm] m = slope of the fatigue resistance curve [À] n = exponent of a stress function [À] N f = number of cycles to failure [À] s = spacing of web plates [mm] t f = face plate thickness [mm] t w = web plate thickness [mm] t weld = thickness of weld [mm] u i = node translation [mm]; i = x, y, z ΔF = force range [kN] ΔJ =J-integral range [MPa mm] ΔK I = range of stress intensity factor for fracture mode I [MPa mm 0.5 ] ΔK II = range of stress intensity factor for fracture mode II [MPa mm 0.5 ] θ MAX = direction of the maximum principal stress [°] θ MTS = initial crack propagation angle [°]