Modeling of Niobium Carbide Precipitation in Steel

Nucleation ofAl3ZrandAl3Clouet1, Nastar2, Sigli3 2004Phys. Rev. B1335930View full textAdd to dashboardCite

“…Kinetic Monte Carlo simulation is the suitable tool for a numerical prediction of a nucleation kinetics 1,2 but a rationalization of the results is difficult and atomic simulations cannot reach very low supersaturations. On the other hand, classical descriptions of these different stages 3,4 are well established and the associated models are now widely used to understand experimental kinetics and to model technological processes 5,6,7,8 . Recently, classical nucleation theory has been shown to be in good agreement with more reliable atomic models by way of a direct comparison with kinetic Monte Carlo simulations 9,10,11,12,13 .…”

Dissolution Behaviour of NbC during Slab Reheating

“…One such method approximates the steel as a ternary Fe-Nb-C system from a thermodynamic point of view, but treating at the same time only the diffusion of niobium, and using a random walk solution for diffusion. 7,10) More rigorous treatments 11,12) account for capillarity, multicomponent diffusion in the context of an Fe-Nb-C system, precipitation, coarsening and dissolution reactions but the analyses are limited to NbC in austenite whereas the reheating of a slab involves initially the heating of ferrite.…”

Numerical simulation of NbC precipitation in microalloyed steel

“…A large number of investigations are available on the interaction of strain-induced precipitation of Nb(C,N) and recrystallization of deformed austenite grains in microalloyed steel [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Depending on the chemical composition, the degree of deformation, the associated recrystallization of the deformed grains and the annealing temperature, acceleration or retardation of the precipitation kinetics of Nb(C,N) is observed.…”

“…This investigation deals solely with the numerical simulation of the precipitation kinetics of pure NbC in cases (i) and (iii), where no simultaneous precipitation and recrystallization take place. Several papers [16][17][18][19][20][21][22][23] have been published on thermodynamic calculations of strain-induced NbC precipitation and different treatments are suggested to take into account the accelerating effect of plastic deformation on the precipitation kinetics. After some first calculations [16] based on the solubility product of NbC, Dutta et al [17,18] suggest an additional term for the calculation of the change in the total free energy for nucleation at dislocations, assuming that the core energy of the dislocation links is eliminated over the radius of a nucleus.…”