Conversion of compression test data into flow curve, accounting for barrelling

Abstract

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.