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Under high pressure, Zr undergoes a transformation from its ambientequilibrium hexagonal close packed $\alpha$ phase to a simple hexagonal$\omega$ phase. Subsequent unloading to ambient conditions does not see a fullreversal to the $\alpha$ phase, but rather a retainment of significant$\omega$. Previously, the thermal stability of the $\omega$ phase wasinvestigated via in-situ synchrotron X-ray diffraction analysis of theisothermal annealing of Zr samples shocked to 8 and 10.5 GPa at temperatures443, 463, 483, and 503 K. The phase volume fractions were trackedquantitatively and the dislocation densities were tracked semi-quantitatively.Trends included a rapid initial (transient) transformation rate from$\omega\to\alpha$ followed by a plateau to a new metastable state with lesserretained $\omega$ (asymptotic). A significant reduction in dislocationdensities in the $\omega$ phase was observed prior to initiation of an earnestreverse transformation, leading to the hypothesis that the $\omega\to\alpha$transformation from is being hindered by defects in the $\omega$ phase. As acontinuation of this work, we present a temperature dependent model thatcouples the removal of dislocations in the $\omega$ phase and the reversetransformation via a barrier energy that is associated with the free energy ofremaining dislocations. The reduction of dislocations in the $\omega$ phaseoccur as a sum of glide and climb controlled processes, both of which dictatethe transient and asymptotic behavior of the annealing process respectively.

Modeling the Thermal Stability of the $\alpha/\omega$ Microstructure in Shocked Zr: Coupling between defect state and phase transformation