Application of the element-free Galerkin method to nucleation of solid-solid phase transformations

Yi An Chu*, Brian Moran

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A computational methodology for nucleation of phase transformations in a class of grade 2, nonlinearly elastic materials is presented. Nucleation is treated as an energy extremum problem. The material is assumed to be governed by a nonlinear, nonlocal 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 nucleation in two-dimensions are presented which illustrate the accuracy of the method and its suitability for problem of this type.

Original languageEnglish (US)
Pages (from-to)135-147
Number of pages13
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume189
StatePublished - 1994
Externally publishedYes

ASJC Scopus subject areas

  • Mechanical Engineering

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