Time-dependence of the alpha to epsilon phase transformation in iron

Abstract

Iron was ramp-compressed over timescales of 3 ≤ t(ns) ≤ 300 to study the time-dependence of the α→ε (bcc→hcp) phase transformation. Onset stresses (σα→ε) for the transformation ∼14.8-38.4 GPa were determined through laser and magnetic ramp-compression techniques where the transition strain-rate was varied between 106 ≤μ̇ α→ε(s−1) ≤ 5×108. We find σα→ε= 10.8 + 0.55 ln(μ̇ α→ε) for μ̇ α→ε < 106/s and σα→ε= 1.15(μ̇ α→ε)0.18 for μ̇ α→ε > 106/s. This μ̇ response is quite similar to recent results on incipient plasticity in Fe [Smith et al., J. Appl. Phys. 110, 123515 (2011)] suggesting that under high rate ramp compression the α→ε phase transition and plastic deformation occur through similar mechanisms, e.g., the rate limiting step for μ̇ > 106/s is due to phonon scattering from defects moving to relieve strain. We show that over-pressurization of equilibrium phase boundaries is a common feature exhibited under high strain-rate compression of many materials encompassing many orders of magnitude of strain-rate.