期刊
ACTA MATERIALIA
卷 59, 期 3, 页码 1077-1086出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actamat.2010.10.038
关键词
Phase-field method; Multicomponent; Multiphase; Coarsening; Growth kinetics
The aimed properties of the interpolation functions used in quantitative phase-field models for two-phase systems do not extend to multi-phase systems. Therefore, a new type of interpolation functions is introduced that has a zero slope at the equilibrium values of the non-conserved field variables representing the different phases and allows for a thermodynamically consistent interpolation of the free energies. The interpolation functions are applicable for multi-phase-field and multi-order-parameter representations and can be combined with existing quantitative approaches for alloys. A model for polycrystalline, multi-component and multi-phase systems is formulated using the new interpolation functions that accounts in a straightforward way for composition-dependent expressions of the bulk Gibbs energies and diffusion mobilities, and interfacial free energies and mobilities. The numerical accuracy of the approach is analyzed for coarsening and diffusion-controlled parabolic growth in Cu-Sn systems as a function of R/l, with R grain size and l diffuse interface width. (C) 2010 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
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