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. 2022 Dec 30;16(1):364. doi: 10.3390/ma16010364
a Depth of a semi-elliptical surface crack
c Half-length of a semi-elliptical surface crack
FI Influence coefficient functions for KI
FII Influence coefficient functions for KII
FIII Influence coefficient functions for KIII
fθ Angle effect correction factor
fμ Frictional influence correction factor
H1, H2, H3, H4 Sub-curve-fitting functions for FI, FII, FIII
h1, h2, h3, h4 Sub-curve fitting constants for H1, H2, H3, H4
KI Stress intensity factors for Modes I crack
KII Stress intensity factors for Modes II crack
KIII Stress intensity factors for Modes III crack
K0 Normalizing factor for the stress intensity factors
kn Main normal stiffness of crack front
ks Sub-normal stiffness of crack front
kt Tangential stiffness of crack front
l Length of a pipe
P Axial pressure of a pipe
P0 External pressure of a pipe
Pn Main normal pressure of crack front
Q Shape factor for elliptical crack
Ri,R0 Internal and external radius of a pipe
t Wall thickness of a pipe
un Main normal displacement of crack front
us Sub-normal displacement of crack front
ut Tangential displacement of crack front
θ Inclination angle of a surface crack
ξ Normalized position along the crack front
σ Far-field compressive stress
τs Crack front sub-normal shear stress
τt Crack front tangential shear stress
μ Friction coefficient of the cracked surface