Abstract
Rigorous Mullins and Sekerka perturbation theory has been applied to two solidification interfaces. The results indicate that as the distance between the two interfaces decreases, the rate of amplitude growth of perturbations on the planar solid–liquid interface becomes negative, which is a further verification of the stability of a planar interface due to soft impingement of diffusion fields during solidification. This work conclusively shows that spheroidal grains form due to grain refinement of Mg alloys by Zr addition because of the high density of nucleation.
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