The 3-D Aboav-Weaire relation from modified mean-field model. (1st February 2022)

• Record Type: Journal Article
• Authors: Li, Yue; Wang, Zhijun; Li, Junjie; Wang, Jincheng
• Is Part Of: Scripta materialia. Number 208(2022)
• Publication Date: 2022-02-01
• Subjects: Grain growth -- Mean-field model -- Grain topology; Materials -- Periodicals; Metallurgy -- Periodicals; Metalen; Legeringen; Materiaalkunde; Metals, metalworking and machinery industries; Metals; Electronic journals; 620.11
• DOI: 10.1016/j.scriptamat.2021.114329
• Languages: English
• ISSNs: 1359-6462

Abstract

Abstract: Grain-environment heterogeneity has been known to play a vital role in grain growth kinetics. In general, the topological correlation between grains and first nearest neighbors is described by the famous Aboav-Weaire law. However, its predictions in 3-D normal grain growth do not exactly match the results from experiments and simulations. In this work, with a 'maximum interval' assumption and an approximation of the MacPherson-Srolovitz law, an alternative approach of the Aboav-Weaire relation is developed from the modified mean-field model. The predictions are not only significantly close to the reality, but also successfully reflect the effect of grain-environment heterogeneity on the normalized grain growth rate. Graphical abstract: Image, graphical abstract