Some Monte Carlo studies of grain growth in a temperature gradient

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Abstract
A Monte Carlo method has been developed with the aim of simulating the development of a directional microstructure with strong crystallographic texture during secondary recrystallization in a temperature gradient. An isothermal model that also allowed for anisotropic mobility was first developed, and the results tested against data from similar previously reported studies. The model was then extended to include grain growth in the presence of a temperature gradient. The effect of the presence of such a temperature gradient under conditions of isotropic boundary mobility was considered theoretically, and results of simulations run under these conditions were shown to be consistent with the predictions from this analysis. The simulation of the zone annealing process was achieved by introducing a time dependence into the temperature gradient profile, which allowed the generation of microstructures approaching those observed in practice.