Three-dimensional dynamic calculation of the equilibrium shape of a coherent tetragonal precipitate in Mg-partially stabilized cubic ZrO2

Yunzhi Wang, Long-qing Chen, A. G. Khachaturyan

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The equilibrium shape of a tetragonal precipitate coherently embedded in a cubic matrix is examined in three dimensions by a computer simulation. Independent experimental data of Mg-partially stabilized ZrO2 are used as the input parameters. The equilibrium shape is obtained by diffusional relaxation of an initially nonequilibrium spherical shape. The relaxation is described through a generalized field kinetic model which takes into account the transformation-induced elastic strain arising from a cubic → tetragonal crystal lattice rearrangement. Without any a priori constraint on the geometry of the particle, the equilibrium shape is shown to be a rotation disk formed by two cones with the common base. It is far from the ellipsoidal shape assumed in the conventional analytical calculations based on Eshelby's model.

Original languageEnglish (US)
Pages (from-to)987-991
Number of pages5
JournalJournal of the American Ceramic Society
Volume79
Issue number4
DOIs
StatePublished - Jan 1 1996

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Precipitates
Crystal lattices
Cones
Kinetics
Geometry
Computer simulation

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Materials Chemistry

Cite this

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abstract = "The equilibrium shape of a tetragonal precipitate coherently embedded in a cubic matrix is examined in three dimensions by a computer simulation. Independent experimental data of Mg-partially stabilized ZrO2 are used as the input parameters. The equilibrium shape is obtained by diffusional relaxation of an initially nonequilibrium spherical shape. The relaxation is described through a generalized field kinetic model which takes into account the transformation-induced elastic strain arising from a cubic → tetragonal crystal lattice rearrangement. Without any a priori constraint on the geometry of the particle, the equilibrium shape is shown to be a rotation disk formed by two cones with the common base. It is far from the ellipsoidal shape assumed in the conventional analytical calculations based on Eshelby's model.",
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Three-dimensional dynamic calculation of the equilibrium shape of a coherent tetragonal precipitate in Mg-partially stabilized cubic ZrO2. / Wang, Yunzhi; Chen, Long-qing; Khachaturyan, A. G.

In: Journal of the American Ceramic Society, Vol. 79, No. 4, 01.01.1996, p. 987-991.

Research output: Contribution to journalArticle

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