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Symmetry-breaking transitions in equilibrium shapes of isolated, coherent particles in cubic crystals

Sankarasubramanian, R and Jog, CS and Abinandanan, TA (1999) Symmetry-breaking transitions in equilibrium shapes of isolated, coherent particles in cubic crystals. In: Proceedings of the International Conference on Solid-Solid Phase Transformations '99, 24-28 May 1999, Kyoto, Japan, pp. 709-712.

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Abstract

Johnson and Cahn reported in 1984 symmetry-breaking shape transitions in isolated particles driven by misfit strains, under highly isotropic conditions of elastic isotropy, dilatational misfit and isotropic interfacial energy; they found these transitions only in systems in which the precipitate phase is softer than the matrix. We have used finite element and optimization methods to determine the equilibrium shape (i.e., the shape which minimizes the sum of elastic and interfacial energies for a given particle volume) of an isolated, coherent and misfitting particle in two dimensional systems under plane strain conditions. We report a square-to-rectangle shape transition in systems with cubic elastic moduli; this result generalizes those of Johnson and Cahn to cubic systems. While these symmetry breaking transitions occur only for softer precipitates in the isotropic case, our work shows that they can occur even for harder precipitates in the cubic case

Item Type: Conference Paper
Additional Information: Copyright of this article belongs to Japan Institute of Metals.
Keywords: crystal structure;elastic constants;elasticity;Poisson ratio;precipitation;surface energy
Department/Centre: Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)
Date Deposited: 25 Jul 2007
Last Modified: 22 Feb 2012 08:13
URI: http://eprints.iisc.ernet.in/id/eprint/10300

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