We simulate the evolution of microstructures produced by solid-state diffusional phase transformations in two dimensions. The microstructure consists of arbitrarily shaped precipitates embedded coherently in an infinite elastic matrix. The phases are taken to be elastically anisotropic with different elastic constants (elastically inhomogeneous). Both mismatch strains between the phases and arbitrary far-field strains are allowed. Diffusion and elastic fields are calculated by using the boundary integral method, and the precipitate-matrix interfaces are tracked by using a non-stiff time integrating method. Results show that precipitate shapes depend strongly on far-field flux and elastic fields. Growing shapes tend to form dendritic structures, while coarsening shapes tend to be smooth. Simulations of multiparticle systems show complicated elastic interactions involving precipitate merging, translation and alignment. These interactions depend on the elastic inhomogeneity as well as the details of the applied and misfit strains.
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