Abstract
The multi-phase Kampmann-Wagner Numerical (KWN) model, which had been successfully applied for modeling particle precipitation (i.e. Ostwald ripening), is extended toward grain growth modeling. The extensions consist of adopting grain topology- and size-dependent growth rate equation obtained from either the reported parameterization of phase field simulations results or theoretical analysis. Global volume conservation equation is imposed in the extended model to reflect the spacing filling constraints that grains do not overlap and no voids appear. The extended model has been applied to simulate ideal grain growth, grain growth with the initial states of lognormal/normal/Weibull distributions, bi-modal grain size distribution and arbitrary Voronoi tessellations, and the simulation results have been verified by Hillert's asymptotic solution and phase field simulation results. The extension has enabled the KWN approach applicable to model grain growth thus reducing the threshold for the establishment of an efficient Integrated Computational Materials Engineering modeling framework.
Highlights
Computer simulations of grain growth has been an important topic of current grain growth research [1]
It is worthy of mentioning that phase field method, which was initially used for diffusive phase transformation [20,21], has been becoming versatile and applied to grain growth, recrystallization, displacive phase trans formation, texture evolution, etc [22,23,24]. With these observations in mind, in this paper we extend the Kampmann-Wagner numerical model, which had been successfully applied for modeling particle precipitation and as-scast grain size pre diction [12,14,15,16,19], toward grain growth modeling
The model predictions are compared with the analytical asymptotic solutions and phase field simulation results
Summary
Computer simulations of grain growth has been an important topic of current grain growth research [1]. Hillert’s treatment and its extensions are more than providing asymptotic solution to ideal grain growth problem They form the foundation for the numerical mean field grain growth modelling approach. The grain growth model is developed on the base of the KampmannWagner Numerical model [15,16] It is multi-size class ‘‘Lagrange-like“ mean field precipitation modelling approach, in which the temporal evolution of particle size distribution is calculated by accounting the size of particles associated with each class. Is the description of the extended KWN model with the two adaptions
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