Effects of elastic stress on the kinetics of Ostwald ripening: the two-particle problem

William C. Johnson*, P. W. Voorhees, D. E. Zupon

*Corresponding author for this work

Research output: Contribution to journalArticle

59 Scopus citations

Abstract

The authors show that the kinetics of the classical two-particle Ostwald ripening problem can be altered radically by elastic stress induced by misfit (coherency) strains. The growth rates of the second-phase particles in the presence of elastic stress differ not only in magnitude but also in sign from the classical zero-stress treatment. For example, the larger particle does not always grow at the expense of the smaller particle, but there are large ranges of the thermophysical parameters in which inverse ripening occurs; i.e., the smaller particle grows at the expense of the larger particle. Elastic stresses also may induce morphological changes in the particles, as well as far stronger spatial correlations between the coarsening particles than in the classical zero-stress limit. The influence of misfit strains on particle growth rates and regimes of inverse coarsening is greater than that predicted from elastic energy analyses. Many of the qualitative features of the ripening behavior discussed could be observed in the multibody problem found in nature.

Original languageEnglish (US)
Pages (from-to)1175-1189
Number of pages15
JournalMetallurgical transactions. A, Physical metallurgy and materials science
Volume20 A
Issue number7
StatePublished - Jul 1 1989

ASJC Scopus subject areas

  • Engineering(all)

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