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A kinetic theory of nucleation and growth of single atom phase precipitates in a supersaturated solid solution at grain boundaries is developed. In the present theory, particular attention is devoted to the analysis of two stages of the overall transformation process: (1) – a stage of quasi-steady-state nucleation and (2) – a transient stage of coarsening. As a result of this analysis, the quasi-steady-state nucleation rate, the number of new phase particles formed via nucleation and diffusional growth, and the time-evolution of the size distribution of the precipitates are established. Moreover, estimates are given for the duration of the different stages of the decomposition process.

international journal of materials research

Diffusional decomposition of supersaturated solid solutions at grain boundaries: Dedicated to Professor Dr. Hartmut Worch on the occasion of his 65 th  birthday