| 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 |