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Mathematical Modelling of NbC Particle Nucleation and Growth in an HSLA Steel under Elastic Deformation

This study attempts to incorporate the effect of elastic deformation in a previously proposedmodel for the nucleation and growth of precipitates. We adapt the KWN-model by Robson to incor-porate the effect of strain energy arising from elastic deformation on the homogeneous nucleation andgrowth of NbC particles in a High Strength Low Alloy (HSLA) steel at constant temperature. Simula-tions of the nucleation and growth of NbC particles in an HSLA steel on the cylindrical region showthat the incorporation of elastic strain energies has a noticeable impact on the process. The derivedquantities of homogeneous nucleation and growth, such as the particle number density and the meanparticle radius, show a clear spatial correlation with the calculated strain energy.