Transformation and misfit dislocations were used to describe the motion of glissile interfaces with one set of misfit dislocations in the framework of the Frank-Bilby equation. The sweep of these glissile interfaces brings about an invariant-plane-strain type shape deformation. This approach explained the glissile motion of martensitic interfaces and small-angle symmetrical tilt grain boundaries. It was consistent with the phenomenological theory of martensite crystallography, but more flexible.

Shape Deformation by Moving a Glissile Interface with One Set of Misfit Dislocations. J.B.Yang, Z.G.Yang, Y.Nagai, M.Hasegawa: Philosophical Magazine Letters, 2009, 89[10], 605-13