{"title":"修正平均场模型的三维上维关系","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":"{\"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}","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}
The 3-D Aboav-Weaire Relation From Modified Mean-Field Model
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.