A Ginzburg-Landau theory of dislocation dynamics in binary alloys was presented in which the elastic energy was a periodic function of the anisotropic strain components. The composition was twofold-coupled to the elastic field via the lattice misfit and via the composition dependence of the elastic moduli (elastic inhomogeneity). The dynamic equations for the lattice displacement and the composition were solved numerically in order to describe various dislocation processes in 3 dimensions. Upon stretching one-phase states, dislocations proliferated to form a tangle. They tended to be created near to pre-existing dislocations. Upon stretching 2-phase states, dislocations appeared in the interface region and glided into the soft region. They were detached from the interface to expand as closed loops, where hard precipitates were acting as dislocation mills. Phase separation around screw dislocations was also followed.

Nonlinear Elasticity Theory of Dislocation Formation and Composition Change in Binary Alloys in Three Dimensions. A.Minami, A.Onuki: Acta Materialia, 2007, 55[7], 2375-84