Morphology of Critical Nuclei in Solid-State Phase Transformations
- 28 June 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 98 (26) , 265703
Abstract
Predicting the shape of a critical nucleus in solids has been a long-standing problem in solid-state phase transformations. We show that a diffuse-interface approach together with a minimax algorithm is able to predict the critical nucleus morphology in elastically anisotropic solids without a priori assumptions. We demonstrate the possibility of nonconvex surfaces for critical nuclei. It is found that strong elastic energy contributions may lead to critical nuclei whose point group symmetry is below the crystalline symmetries of both the new and the parent phases.Keywords
This publication has 19 references indexed in Scilit:
- Sharp-interface limit of the Allen-Cahn action functional in one space dimensionCalculus of Variations and Partial Differential Equations, 2006
- Simulations of Spinodal Nucleation in Systems with Elastic InteractionsPhysical Review Letters, 2005
- Phase-Field Models for Microstructure EvolutionAnnual Review of Materials Research, 2002
- A model for nonclassical nucleation of solid-solid structural phase transformationsMetallurgical and Materials Transactions A, 2000
- Elastic Effects on the Kinetics of a Phase TransitionPhysical Review Letters, 1999
- Simulation study of nucleation in a phase-field model with nonlocal interactionsPhysical Review E, 1998
- Three-dimensional field model and computer modeling of martensitic transformationsActa Materialia, 1997
- Non-classical nucleation theory of ordered intermetallic precipitates—application to the AlLi alloyActa Materialia, 1996
- Minimax Methods in Critical Point Theory with Applications to Differential Equations1986
- Free Energy of a Nonuniform System. III. Nucleation in a Two-Component Incompressible FluidThe Journal of Chemical Physics, 1959