ON THE EFFECTS OF ELASTIC STRESS ON THE MOTION OF FULLY FACETED INTERFACES

In this paper we develop conditions that govern the evolution of a ful ly faceted interface separating elastic phases. To focus attention on the effects of elastic stress, we restrict attention to interface-cont rolled kinetics, neglecting bulk transport; and to avoid geometric com plications, we limit our discussion to two space-dimensions. We consid er a theory in which the orientations present on the evolving particle are not necessarily those given by the Wulff shape: we allow for meta stable crystallographic orientations as well as stable orientations. W e find that elastic stress affects the velocity of a facet through the average value of the normal component of the jump in configurational stress (Eshelby stress) over the facet. Within our theory singularitie s in stress induced by the presence of corners do not influence the ve locity of the facet. We discuss the nucleation of facets from corners; the resulting nucleation condition is shown to be independent of elas tic stress. We also develop equations governing the equilibrium shape of a faceted particle in the presence of elastic stress.