On an elastically induced splitting instability

Perry H Leo, J. S. Lowengrub, Q. Nie

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We show that a morphological instability driven by deviatoric applied stresses can generate elastically induced particle splitting during diffusional phase transformations. The splitting instability occurs when the elastic fields are above some critical value. For subcritical elastic fields, one observes a small perturbation of the particle shape consistent with splitting, but this perturbation is stabilized by surface tension. Both the onset of the splitting instability and the nonlinear evolution of the particle towards splitting depend on the precise form of the applied stress, the elastic constants of the precipitate and matrix, and the initial shape of the precipitate. We also investigate whether non-dilatational misfit strains can generate splitting instabilities in the absence of an applied stress.

Original languageEnglish (US)
Pages (from-to)2761-2772
Number of pages12
JournalActa Materialia
Volume49
Issue number14
DOIs
StatePublished - Aug 16 2001

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Precipitates
Elastic constants
Surface tension
Phase transitions

Keywords

  • Phase transformations
  • Stress
  • Theory & modeling

Cite this

On an elastically induced splitting instability. / Leo, Perry H; Lowengrub, J. S.; Nie, Q.

In: Acta Materialia, Vol. 49, No. 14, 16.08.2001, p. 2761-2772.

Research output: Contribution to journalArticle

Leo, Perry H ; Lowengrub, J. S. ; Nie, Q. / On an elastically induced splitting instability. In: Acta Materialia. 2001 ; Vol. 49, No. 14. pp. 2761-2772.
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