Research Opportunities for Materials with Ultrafine Microstructures (1989) / Chapter Skim
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Pages 82-85
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From page 82... ...
in multiphase or multicomponent systems, the thermodynamics of homogeneous systems must be adapted to take into account contributions from gradients in density or composition. The driving force for grain growth is the increased chemical potential Ap = K'n/r, where 7 is the interfacial tension, n is the atomic volume, r is the average grain size, and K is a constant on the order of unity.
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From page 83... ...
with an initial average grain size of about 12 nm (Siegel et al., 1988) have demonstrated a rather wide temperature range over which grain growth is quite small.
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From page 84... ...
84 mechanism identified in the coarsening of eutectic lamellae. The highest driving force is found at the tip of a receding fault line.
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From page 85... ...
85 energy, F of such a system must include terms due to the gradients in concentration or density: F ~ ~ [f~c)
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