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 |