Phase-field model for solid state transformation in a two-phase binary system with elastic inhomogeneity
نویسندگان
چکیده
A phase-field model is presented to study binary systems having two phases with different elastic properties. The evolution of two phase-field variables, namely, composition and non-conserved phase-field, are considered. This model uses the approach of Steinbach and Apel [1] to model the dependence of total strain on the phase-field, which assumes equal elastic stresses in the different phases at the diffuse interface. The elasticity equations for mechanical equilibrium are solved by a Fourier transform-based iterative approach similar to Hu and Chen [2]. The phase-field equations are solved by the finite difference method. Growth of a second-phase particle in an elastic matrix and the dependence of the precipitate shape on the elastic properties of the two phases are studied.
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