Microscopic modelling of simultaneous two-phase precipitation: application to carbide precipitation in low-carbon steels

Abstract

A thermodynamically-based precipitation model, employing the classical nucleation and growth theories, has been adapted to deal with simultaneous precipitation of metastable and stable phases. This model gives an estimation of the precipitation kinetics (time evolution of radius and density of precipitates for both phases, as well as the evolution of solute fraction) in a wide range of temperature. Results were successfully compared with an experimental isothermal precipitation diagram (Time Á/TemperatureTransformation, TTT) from the literature for the precipitation of e carbide and Fe 3 C in low-carbon steels. #

Theoretical and Experimental Nucleation and Growth of Precipitates in a Medium Carbon–Vanadium Steel

“…It is obvious that the nuclei that can grow have to be bigger than the critical nucleus, and in accordance with Dutta et al [9] and Perez et al [25] this value will be multiplied by 1.05. It must be noted that the factor 1.05 has little consequence on the overall precipitation kinetics.…”

Competitive precipitation of amorphous and crystalline silicon nitride in ferrite: Interaction between structure, morphology, and stress relaxation

“…For the sake of simplicity, spherical geometry was assumed. For this purpose, the precipitation model of Perez and Deschamps [12] was adapted to our situation by introducing the effects of elastic strain energy.…”

Nucleation and Growth of Precipitates in a V-Microalloyed Steel According to Physical Theory and Experimental Results

“…In Eq. (1) the incubation time (τ) is given as follows [27]: 8The critical radius for nucleation is determined from the driving force and is given as [14]: (9) It is obvious that the nuclei that can grow have to be bigger than the critical nucleus and in accordance with Dutta et al [10] and Perez et al [28] this value will be multiplied by 1.05. It must be noted that the factor 1.05 has little consequence on the overall precipitation kinetics.…”