Elastic interaction and stability of misfitting cuboidal inhomogeneities

William C. Johnson*, P. W. Voorhees

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

66 Scopus citations


The elastic interaction energy between several rectangular parallelepipeds and the elastic self-energy of a cuboid are calculated to first order in the difference in elastic constants between the precipitate and matrix. The system is assumed to be elastically isotropic, the precipitates are coherent with the matrix and possess a dilatational misfit. The functionality and magnitude of the interaction energy per precipitate are extremely sensitive to the precipitate morphology and number of precipitates considered. The interaction energy between three or more precipitates cannot be accurately estimated by summing the pairwise interactions. The influence of the interaction energy on the stability of precipitate arrays is discussed.

Original languageEnglish (US)
Pages (from-to)1610-1619
Number of pages10
JournalJournal of Applied Physics
Issue number4
StatePublished - 1987

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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