Current solutions to convert the axis-symmetric compression test (ACT) data to flow data ignore the barrelling deformation in
the sample. This work presents a solution for the test which accounts for the sample’s barrelling by discretising it into a finite
number of layers of different radii. The solution assumes a constant and sliding friction at the anvil-sample interface. The sample’s
flow behaviour is identified by combining a recent kinematic solution of the test, Prandtl–Reuss–Mises’s equations and
a slab-analysis of the layers. It also involves an averaging of the effective plastic stresses developed in the individual layers.
The solution is verified for a special case of no-barrelling which matches the currently used solution.