A Multi-phase-field model including inelastic deformation for solid state transformations

Phase Field Model for the Nucleation in Solid State Phase Transformations : Theories , Algorithms and Applications

Nucleation takes place when a material becomes thermodynamically meta-stable with respect to its transformation to a new state or new crystal structure. Very often, the nucleation process dictates the microstructure of a material. Predicting the shape of a critical nucleus in solids has been a long-standing problem in solid state phase transformations. It is generally believed that nucleation i...

Phase Transformations Preparation of Solid State Materials

Multi phase field model for solid state transformation with elastic strain

A multi phase field model is presented for the investigation of the effect of transformation strain on the transformation kinetics, morphology and thermodynamic stability in multi phase materials. The model conserves homogeneity of stress in the diffuse interface between elastically inhomogeneous phases, in which respect it differs from previous models. The model is formulated consistently with...

Phase-field model for solid state transformation in a two-phase binary system with elastic inhomogeneity

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 ...

A phase-field approach to solid–solid phase transformations via intermediate interfacial phases under stress tensor

Keywords: Phase transformation Phase-field Interfacial phases Internal stresses Intermediate melt Nucleation a b s t r a c t A thermodynamically consistent phase-field (PF) theory for phase transformations (PTs) between three different phases is developed with emphases on the effect of a stress tensor and interface interactions. The phase equilibrium and stability conditions for homogeneous pha...