Effect of the Compositional Strain on the Diffusive Interface Thickness and on the Phase Transformation in a Phase-Field Model for Binary Alloys


A Cahn-Hilliard phase-field-elasticity model was used to study the effect of compositional strain on the diffusive interface thickness and on the solid state phase transformations in binary alloys. Compositional strain was introduced using the Vegard's law. Mixed order finite element analyses and analytical solutions of an infinite diffusion couple with a flat interface were used to track the phase-field interface morphology. Both analytical and numerical calculations showed a substantial rate-increasing effect of compositional strain on the interface thickness, especially for low energy barrier values. Compositional strain was found to cause substantial patterning of single precipitates during their evolution in a parent matrix and significantly change the equilibrium size of the precipitates. Results show a considerable influence of compositional strain on the coarsening kinetics of coherent precipitates.


Materials Science and Engineering

Research Center/Lab(s)

Peaslee Steel Manufacturing Research Center

Keywords and Phrases

Analytical solutions; Coarsening kinetics; Coherent precipitates; compositional strain; Diffusion couple; Finite Element; Flat interface; Interface morphologies; interface thickness; matrix; Mixed order; Numerical calculation; Phase fields; Phase transformation; Phase-field models; Solid state phase transformation; Vegard's law; Binary alloys; Cerium alloys; Elasticity; Intermetallics; Phase transitions; Precipitates; Phase interfaces

International Standard Serial Number (ISSN)


Document Type

Article - Journal

Document Version


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© 2011 Springer New York, All rights reserved.

Publication Date

01 Aug 2011