| a | inner radius |
| b | outer radius |
| h | half-length |
| p | dimensionless inner pressure |
| q | dimensionless axial punch force |
| (r, θ, z) | cylindrical coordinates |
| s | dimensionless parameter introduced in Equation (23) |
| sr, sθ, sz | deviatoric stress components |
| t | time |
| ur | radial velocity |
| uz | axial velocity |
| H | wall thickness |
| P | inner pressure |
| R | Lagrangian coordinate |
| Q | axial punch force |
| U | speed of expansion |
| V | speed of elongation |
| α | dimensionless inner radius |
| δ | wall thinning |
| εeq | equivalent strain |
| εr, εθ, εz | strain components |
| η | function of the polar radius introduced in Equation (23) |
| ξeq | equivalent strain rate |
| ξr, ξθ, ξz | strain rate components |
| ρ | dimensionless radius |
| σ | hydrostatic stress |
| σeq | equivalent stress |
| σr, σθ, σz | stress components |
| ω | dimensionless axial feeding |