Size dependence of the interfacial energy in the generalized nearest-neighbor broken-bond approach

Interfacial Energy of Diffuse Phase Boundaries in the Generalized Broken-Bond Approach

“…[21] and Wagner et al [24] nucleus interface has been depicted theoretically by Kashchiev. [25] A recent estimation of this effect by Sonderegger and Kozeschnik [14] suggests a multiplicative factor of 0.7 to 0.8 for typical nuclei. Taking Wagner's results and considering the change of IEs due to these size effects, one ends up with an energy of 20 to 23 mJ/m 2 for the planar interfaces, which is in excellent agreement with the coarsening data of Li et al Figure 4 summarizes these experimental values in comparison with the predicted results obtained by the NNBB and the GBB model.…”

“…This concept has made it possible to apply the GBB model to more complex geometries such as, e.g., interfaces of spherical precipitates. [14] Also, in Reference 14, the numerical value of the minimum bond length (lower integration limit) has been evaluated with r k = 0.3r 1 , with r 1 being the nearest-neighbor distance. This result will also be used in this article.…”

Simulation of Precipitation Kinetics and Precipitation Strengthening of B2-precipitates in Martensitic PH 13–8 Mo Steel

“…A radius-dependent size-correction is used for the small, coherent B2 precipitates. 18) The reverted austenite precipitates are assumed to have minor influence on the strengthening behavior of this type of steel due to the much lower number densities. They are, therefore, taken into account in the simulations for the sake of completeness; however, they are not discussed in the same depth as the B2-ordered NiAl © 2012 ISIJ precipitates.…”

Loss of Ductility Caused by AlN Precipitation in Hadfield Steel

“…Using this computational approach, equilibrium calculations, Scheil-Gulliver simulations, [36] and thermokinetic simulations of AlN precipitation are carried out. Several physical effects are considered; among them are the microsegregation during solidification; the precipitate/matrix volumetric misfit; the temperature dependent Young's modulus; composition-, temperature-, and size-dependent interfacial energies [37,38] ; and the ratio between bulk and grain boundary diffusion. The precipitation of AlN is assumed to occur primarily during solidification of the liquid steel and as secondary precipitates in the solid state simultaneously at grain boundaries and dislocations in the austenitic Fe matrix.…”