On the morphological development of second-phase particles in elastically-stressed solids

Peter W Voorhees*, G. B. McFadden, W. C. Johnson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

123 Scopus citations


We examine the equilibrium shape and the dynamics of the morphological evolution of a coherent misfitting particle in an elastically anisotropic medium. No a priori assumptions are made on the possible particle morphologies; the particle evolves in a manner consistent with both the diffusion and elastic fields surrounding the particle and the thermodynamics of interfaces in stressed solids. Through these calculations we find the thermodynamically stable equilibrium shape of a misfitting particle. By thermodynamically stable we mean that all the equilibrium conditions, elastic, chemical and interfacial are satisfied simultaneously, in contrast to previous treatments which determined the equilibrium shape by minimizing the sum of the elastic and interfacial energies for certain classes of particle shapes. We find that the equilibrium particle morphologies are not simple geometric shapes, have fourfold symmetry and a continuously varying interfacial curvature with position along the interface. Furthermore, the results show that the times required for a particle to evolved to its equilibrium morphology are likely to be within those which are accessible experimentally. In addition, we develop a general approach for determining the equilibrium shape of a particle in anelastically stressed solid.

Original languageEnglish (US)
Pages (from-to)2979-2992
Number of pages14
JournalActa Metallurgica Et Materialia
Issue number11
StatePublished - Jan 1 1992

ASJC Scopus subject areas

  • Engineering(all)

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