Homogeneous nucleation of a solid-solid dilatational phase transformation

B. Moran*, Y. A. Chu, Gregory B Olson

*Corresponding author for this work

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

The problem of homogeneous coherent nucleation of a spherical particle in an infinite matrix is considered. A Landau-Ginzburg type potential is used to describe the material response. The underlying Landau potential is taken to be of the 2-3-4 type and the gradient energy contribution is taken to be quadratic. The nucleation problem is posed as an energy extremum problem and the finite element method, in conjunction with a perturbed Lagrangian algorithm, is used to obtain solutions with nucleus structure. The present nonlinear model spans the range from classical to nonclassical nucleation and exhibits many of the physical phenomena associated with nonclassical nucleation including divergence in radius and interface thickness of the critical nucleus and vanishing of the nucleation energy as the instability temperature is approached.

Original languageEnglish (US)
Pages (from-to)1903-1919
Number of pages17
JournalInternational Journal of Solids and Structures
Volume33
Issue number13
DOIs
StatePublished - Jan 1 1996

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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