{"title":"The 3-D Aboav-Weaire Relation From Modified Mean-Field Model","authors":"Yue Li, Zhijun Wang, Junjie Li, Jincheng Wang","doi":"10.2139/ssrn.3927819","DOIUrl":null,"url":null,"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 experiments and simulations. In this work, with an approximation of the MacPherson-Srolovitz law, an alternative approach of the A-W relation is developed from the modified mean-field model. The predictions are not only significantly closer to the reality, but also successfully reflects the effect of grain-environment heterogeneity on the normalized grain growth rate.","PeriodicalId":7765,"journal":{"name":"AMI: Scripta Materialia","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"AMI: Scripta Materialia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3927819","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
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 experiments and simulations. In this work, with an approximation of the MacPherson-Srolovitz law, an alternative approach of the A-W relation is developed from the modified mean-field model. The predictions are not only significantly closer to the reality, but also successfully reflects the effect of grain-environment heterogeneity on the normalized grain growth rate.