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.
|Number of pages
|American Society of Mechanical Engineers, Applied Mechanics Division, AMD
|Published - 1994
ASJC Scopus subject areas
- Mechanical Engineering