The isothermal uniaxial compression test is a common method to determine the flow stress of metals. For accurate flow stress
data at strain rates >10
−3 s
−1, the data must be corrected for flow softening due to deformation heating. The first step in the correction is to determine
the increase in temperature. An adiabatic correction factor,
η, is used to determine the temperature between strain rates of 10
−3 to 10
1 s
−1. The adiabatic correction factor is the fraction of adiabatic heat retained in the workpiece after heat loss to the dies,
η=(Δ
T
ACTUAL)/(Δ
T
ADIABATIC), where Δ
T
ADIABATIC=(0.95 f
σdɛ)/(
ρC
p
). The term
η is typically taken to be constant with strain and to vary linearly (0 to 1) with log (
[(e)\dot]\dot \varepsilon
) between 10
−3) and 10
1 s
−1. However, using the finite element method (FEM) and a one-dimensional, lumped parameter method,
η has been found to vary with strain, die and workpiece thermal conductivities, and the interface heat-transfer coefficient
(HTC). Using the lumped parameter method, an analytical expression for
η was derived. In this expression,
η is a function of the die and workpiece thermal conductivities, the interface heat-transfer coefficient, workpiece heat capacity,
strain, and strain rate. The results show that an increase in the HTC or thermal conductivity decreases
η.
Keywords adiabatic correction - compression test - deformation heating - FEM process modeling - flow stress