On the Incompatibility of Steady-State Assumption and Abnormal Grain Growth in the Presence of Homogenous Pinning

Abstract Possibility of abnormal grain growth (AGG) is vital when tuning grain structure of polycrystalline materials. The growth stability of a particle-pinned polycrystalline aggregation is discussed. It is mathematically proved that in such aggregation, Hillert’s steady-state normal grain growth...
Ausführliche Beschreibung

Abstract Possibility of abnormal grain growth (AGG) is vital when tuning grain structure of polycrystalline materials. The growth stability of a particle-pinned polycrystalline aggregation is discussed. It is mathematically proved that in such aggregation, Hillert’s steady-state normal grain growth assumption is stable against arbitrary perturbation; hence, AGG is impossible as long as pinning is uniform. This conclusion is independent of the detailed pinning mechanism, evolution of pinning strength, or the dimension of the system. Ausführliche Beschreibung