Interface Motion in Two-Phase Solids with Elastic Misfits

Abstract

We examine the stability of solid-solid interfaces when the shear modulus is slightly different in two phases. In a deep quench condition, the elastic energy is minimized when harder regions are elastically isotropic. As simple examples, we derive dynamic equations for disturbances on spherical interfaces of a growing precipitate as well as on planar surfaces separating two uniaxially deformed phases. They show how the Mullins-Sekerka instability is modified by the elastic misfit. A new instability is predicted in the planar interface case.