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. 2024 Jan 26;17(3):609. doi: 10.3390/ma17030609
a weld throat thickness
G shear modulus
h, hp leg lengths
k thermal conductivity
Kt stress concentration factor (SCF)
Ktt stress concentration factor for tensile (axial) load
Ktb stress concentration factor for bending load
Kts stress concentration factor for shearing load
m, p exponents dependent on the loading mode
n stress field exponent for a sharp corner for axial and bending load
ns stress field exponent for a sharp corner subjected to shearing load
P regular function represented by polynomials
Pt, Pb, Ps P functions corresponding to tensile, bending, and shearing load, respectively
Q magnitude of the heat flux
q max magnitude of the maximum heat flux
q nom magnitude of the nominal heat flux at the end of the body
t thickness of the main plate
T thickness of the attachment plates
T temp temperature
W displacement component corresponding to the anti-plane shear
X = ρ/(ρ + a) normalized toe radius parameter
Y = a/(a + t) normalized weld thickness parameter
Z = T/a normalized attachment plate thickness parameter
Z 0 reference T/a value
|∇Ψ| magnitude of the displacement (temperature) gradient
|∇Ψ|max magnitude of the maximum displacement (temperature) gradient
|∇Ψ|nom magnitude of the nominal displacement (temperature) gradient
θ weld angle
κ correction function for the attachment plate thickness T/a
κt correction function κ for tensile (axial) load
κb correction function κ for bending load
κs correction function κ for shearing load
Ψ(x,y) potential function representing temperature or anti-plane displacement
Ψ/∂n normal derivative at the bounding contour
ρ weld toe radius
σ 1 first principal stress for tensile or bending load
σ 1max maximum value of the first principal stress
σt nominal tensile (axial) stress
σb nominal bending stress
τ max maximum shear stress at the weld toe due to shearing load
τ s nominal shear stress