Elastic interaction and stability of misfitting cuboidal inhomogeneities

William C. Johnson; P. W. Voorhees

doi:10.1063/1.338099

Elastic interaction and stability of misfitting cuboidal inhomogeneities

William C. Johnson^*, P. W. Voorhees

^*Corresponding author for this work

Materials Science and Engineering

Research output: Contribution to journal › Article › peer-review

67 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	1610-1619
Number of pages	10
Journal	Journal of Applied Physics
Volume	61
Issue number	4
DOIs	https://doi.org/10.1063/1.338099
State	Published - 1987

ASJC Scopus subject areas

General Physics and Astronomy

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AB - 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.

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JF - Journal of Applied Physics

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Elastic interaction and stability of misfitting cuboidal inhomogeneities

Abstract

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