Kinetics of vanadium carbonitride precipitation in steel: A computer model

Maugis, Philippe; Gouné, Mohamed

doi:10.1016/j.actamat.2005.03.036

Cited by 173 publications

(107 citation statements)

References 6 publications

Supporting

Mentioning

103

Contrasting

Unclassified

Order By: Relevance

“…In this method, the size histogram is characterized by the size classes and corresponding number density of each class. For the classification of size during nucleation and growth, Maugis and Gouné [34] suggested an approach in which each radius defines one size class. At each calculation step, a new size class is generated due to nucleation and existing classes of particles that grow simultaneously.…”

Section: Class Modelmentioning

confidence: 99%

Modeling of manganese sulfide formation during the solidification of steel

et al. 2016

View full text Add to dashboard Cite

A comprehensive model was developed to simulate manganese sulfide formation during the solidification of steel. This model coupled the formation kinetics of manganese sulfide with a microsegregation model linked to thermodynamic databases. Classical nucleation theory and a diffusion-controlled growth model were applied to describe the formation process. Particle size distribution (PSD) and particle-size-grouping (PSG) methods were used to model the size evolution. An adjustable parameter was introduced to consider collisions and was calibrated using the experimental results. With the determined parameters, the influences of the sulfur content and cooling rate on manganese sulfide formation were well predicted and in line with the experimental results. Combining the calculated and experimental results, it was found that with a decreasing cooling rate, the size distribution shifted entirely to larger values and the total inclusion number clearly decreased; however, with increasing sulfur content, the inclusion size increased, while the total inclusion number remained relatively constant.

show abstract

Section: Class Modelmentioning

confidence: 99%

Modeling of manganese sulfide formation during the solidification of steel

et al. 2016

View full text Add to dashboard Cite

show abstract

“…The Gibbs energy for the formation of a spherical nucleus of carbonitride from the element in solution (V) is classically expressed as the sum of chemical free energy, interfacial free energy, and dislocation core energy, resulting in the following expression [14][15][16]:…”

Section: Theoretical Model and Calculation Of Parametersmentioning

confidence: 99%

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

Medina

Ruiz-Bustinza

Robla

et al. 2017

Metals

View full text Add to dashboard Cite

Abstract:Using the general theory of nucleation, the nucleation period, critical radius, and growth of particles were determined for a medium carbon V-steel. Several parameters were calculated, which have allowed the plotting of nucleation critical time vs. temperature and precipitate critical radius vs. temperature. Meanwhile, an experimental study was performed and it was found that the growth of precipitates during precipitation obeys a quadratic growth equation and not a cubic coalescence equation. The experimentally determined growth rate coincides with the theoretically predicted growth rate.

show abstract

“…The dissolution of γ' is controlled by the back diffusion in primary γ. A Lagrangian approach [16,17] is then used to compute the evolution of the radius of each precipitate class. The growth rate in a class k of radius R (k) is calculated using the solute fluxes in the matrix at the interface and the effective diffusion matrix:…”

Section: Solidification/homogenization Modelmentioning

confidence: 99%

Numerical Simulation of Microstructure Formation during Solidification and Heat Treatments of Ni Base Superalloys

Rougier¹,

Jacot²,

Gandin³

et al. 2012

Superalloys 2012 (Twelfth International Symposium)

View full text Add to dashboard Cite

A comprehensive modelling approach has been developed for the simulation of microstructure formation during solidification and heat treatment in Ni-base superalloys. The microsegregation taking place during solidification is simulated using the pseudofront tracking (PFT) technique. This finite volume method calculates the concentration profiles in primary γ and the proportion of liquid and γ' in the interdendritic regions. The same model is then used to describe the dissolution of the interdendritic γ' particles during the subsequent solution heat treatment. The concentrations in primary γ predicted with the PFT model are then used to calculate the evolution of the γ' precipitates and their size distributions at different locations in a dendrite arm during heat treatment. This is achieved with a precipitate size distribution (PSD) model. The classes of the distribution are created and tracked based on classical nucleation theory and a semi-analytical model for the growth of the precipitates as a function of their radius and the matrix supersaturation. The PFT and PSD models are both coupled with Thermo-Calc, which is used for the computation of the concentrations at the γ/liquid and γ/γ' interfaces, for the Gibbs-Thomson effect in precipitates, and to calculate non-diagonal diffusion matrices based on a mobility database. The precipitation model was applied to a Ni-Al-Cr alloy and the results were compared with experimental data from the literature. Experimental and simulation results are in good qualitative agreement. The main phenomena taking place during precipitation, i.e. nucleation, growth and coarsening, are well reproduced by the precipitation model. Some discrepancies were observed on the precipitate number density, which were attributed to the homogeneous nucleation model. The full modelling sequence was then applied to Ni-Al in order to assess the influence of an incomplete homogenization heat treatment on the formation of γ' precipitates.

show abstract

Kinetics of vanadium carbonitride precipitation in steel: A computer model

Cited by 173 publications

References 6 publications

Modeling of manganese sulfide formation during the solidification of steel

Modeling of manganese sulfide formation during the solidification of steel

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

Numerical Simulation of Microstructure Formation during Solidification and Heat Treatments of Ni Base Superalloys

Contact Info

Product

Resources

About