Shape factors in modeling of precipitation

Recently, a model for the growth and dissolution kinetics of precipitates in multi-component multi-phase environments has been developed. In the original treatment, the evolution equations for the size and chemical composition of the precipitates have been derived for spherical precipitates. In this paper, shape factors are introduced, which provide extensions of the existing formalism to needle-shaped and disc-shaped precipitate geometries. The mathematical formalism can be seamlessly incorporated into the existing model. The growth kinetics of precipitates with different shapes are discussed and compared to the spherical case.