A computational model for nucleation of solid-solid phase transformations

Y. A. Chu*, B. Moran

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


A computational methodology for nucleation of phase transformations in a class of grade 2, non-linearly elastic materials is presented. Nucleation is treated as an energy extremum problem. The material is assumed to be governed by a non-linear, non-local elastic constitutive relation represented by a Landau-Ginzburg potential. The extremum problem is solved using the element-free Galerkin (EFG) method and a perturbed Lagrangian technique. The EFG method is used because of its ability to handle continuity of displacement gradients required in the weak form. Applications to homogeneous nucleation in two dimensions are presented which illustrate the accuracy of the method and its suitability for problems of this type.

Original languageEnglish (US)
Article number003
Pages (from-to)455-471
Number of pages17
JournalModelling and Simulation in Materials Science and Engineering
Issue number4
StatePublished - 1995
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications


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