“…Nomenclature: σ p0.2 , yield strength; σ b , ultimate tensile strength; A, tensile fracture elongation; P Laser , laser power; I Arc , arc current; U Arc , arc voltage; v Hybrid , hybrid welding speed; Δ, defocusing distance; η Laser , welding heat efficiency for laser; η Arc , welding heat efficiency for arc; E′, welding heat input per unit length; R, stress ratio; f , frequency; t, specimen thickness; a, crack length; N, number of cycles; da/dN, fatigue crack growth rate; ΔK, stress intensity factor range; Ψ, sphericity; Φ, equivalent diameter; √area, the square root of projected area of a pore perpendicular to the maximum principal stress; σ max , maximum nominal stress; N f , cycles to failure; h, distance from the nearest pore point to the free surface; σ eff , maximum effective stress in case of R = −1; γ, the empirical constant in Walker equation; σ, remote stress; E, Young's modulus; v, Poisson's ratio; s, distance from the pore centroid to the free surface; r, radius of pore; K t , stress concentration factor; σ′ max , maximum local stress; Δσ, stress range; r * , distance ahead of pores dominated by crack initiation; ρ, local radius of pore; Δσ e , endurance limit; N i , crack initiation life; α, fatigue life exponent; ζ, fatigue life coefficient; ΔK, stress intensity factor range; Ω, computational domain; Γ 1 , outer boundary of computational domain; Γ 2 , inner boundary of computational domain; Π e pore , elemental functional due to pore; Π e crack , elemental functional due to crack; σ, stress tensor; u, displacement tensor; t, traction tensor; S, elastic compliance matrix; D, matrix differential operator relevant strain to the displacement; K e pore , element stiffness matrix for a pore-embedded polygonal element; K e crack , element stiffness matrix for a crack-embedded polygonal element; G, integral along the outer boundary Γ 1 ; H 1 , integral along the matrix boundary Γ 1 ; H 2 , integral along the matrix boundary Γ 2 ; T, transformation matrix of local coordinate to global coordinate; d, distance from the pore centroid to crack tip; W, model width; K I,e , stress intensity factor of mode I cracking problem in case of a primary crack with a pore; K I,0 , stress intensity factor of mode I cracking problem in case of a primary crack without a pore; K I , the stress intensity factor for mode I cracking; K II , the stress intensity factor for mode II cracking 1 | INTRODUCTION Peak-hardened 7000 series aluminum alloys conventionally used into aerospace industries have currently been attempted for high-speed railway components, such as sleeper beams, axle boxes, and pantographs. 1,2 To improve the structural integrity, more attentions should be paid on the higher fatigue resistance of such highstrength alloys due to welding, casting, and 3D printing. [2][3][4] However, defects such as gas pores and hot cracks cannot be completely eliminated by high energy density beam welding despite subjected to optimum processing parameters and suitable filler metals.…”