Morphological stability of a propagating domain wall in two-dimensional ferroelastic transformations (Q675647)

We study the morphological stability of a propagating domain wall separating two uniformly deformed regions of a ferroelastic material undergoing plane strain deformations. Following the literature, the strain energy density for the ferroelastic material is assumed to be a sum of three functions: one quadratic in the shear strain, the second quadratic in the dilatational strain and the third a Landau-type nonlinear function of deviatoric normal strains. The general equations for linearized morphological stability of a planar propagating interface derived. It is shown that the propagating planar domain wall is stable against infinitely long-wave perturbations. To examine the relationship between the morphological stability and the propagating speed, we consider a special class of ferroelastic materials.