Quantitative phase field modeling of diffusion-controlled precipitate growth and dissolution in Ti–Al–V

Phase field study of precipitate growth: Effect of misfit strain and interface curvature

“…Specifically, we mention Chen and co-workers, who have compared their phase field results on diffusion fields around a precipitate with those obtained by solving a diffusion equation. However, the focus of their work was on diffusion fields in ternary systems [22] or on lengthening and thickening of plate-like precipitates [23].…”

Multiphase solidification in multicomponent alloys

“…Kobayashi et al [189] proposed a two-phase field model for ternary alloys including the thermodynamic data via an a priori calculated tie-line map of the ternary phase diagram. Chen et al [190] reported on direct linking the Tibase thermodynamic database from CompuTherm and the kinetic software DICTRA to a two-phase field model for modeling growth of precipitates in the ternary system Ti-Al-V. Cha et al [191] reported on coupling thermodynamic data to a two-phase field model. The only model that presently applies to multiphase transformations in multicomponent alloys is based on the multiphase-field model, initially developed by Steinbach et al [192] and Steinbach and Pezolla [193] for unary alloys.…”

Effect of Second Phase Particles on Grain Growth for Nanocrystalline AZ31 Mg Alloy by Phase Field Methods

“…However, limited by the actual physical thickness of grain boundary thought as a few lattices parameters (for example 20Å), the parameters in the models were assumed as numerical values. Later, references [20][21][22] have produced an artificially diffuse interface at the length scale of practical interest. For example, increase the interface width from about 9nm to 36nm [21] without altering the kinetics and microstructure along the evolution path.…”

“…The nucleation process of crystallization is simplified by a phenomenological method, and the well-defined microstructure is formed after a short time [20] . The initial state is given as the 4dx × 4dx unit grids which are evenly distributed in the simulated area, and the radius of the nucleus is a random value between 0 to 2 grids.…”