Phase field method simulation of faceted dendrite growth with arbitrary symmetries  

任意对称性小平面枝晶生长的相场法模拟（英文）

作　　者：陈志[1] 陈佩 巩贺贺 段培培 郝丽梅 金克新[1] 

机构地区：[1]西北工业大学理学院应用物理系,西安710129 [2]西北工业大学软件与微电子学院,西安710129 [3]西安科技大学理学院应用物理系,西安710054

出　　处：《Transactions of Nonferrous Metals Society of China》2018年第2期290-297,共8页中国有色金属学报（英文版）

基　　金：Projects(11102164,11304243)supported by the National Natural Science Foundation of China;Project(2014JQ1039)supported by the Natural Science Foundation of Shannxi Province,China;Project(3102016ZY027)supported by the Fundamental Research Funds for the Central Universities of China;Project(13GH014602)supported by the Program of New Staff and Research Area Project of NWPU,China

摘　　要：A numerical simulation based on a regularized phase field model is developed to describe faceted dendrite growth morphology. The effects of mesh grid, anisotropy, supersaturation and fold symmetry on dendrite growth morphology were investigated, respectively. These results indicate that the nucleus grows into a hexagonal symmetry faceted dendrite. When the mesh grid is above 640×640, the size has no much effect on the shape. With the increase in the anisotropy value, the tip velocities of faceted dendrite increase and reach a balance value, and then decrease gradually. With the increase in the supersaturation value, crystal evolves from circle to the developed faceted dendrite morphology. Based on the Wulff theory and faceted symmetry morphology diagram, the proposed model was proved to be effective, and it can be generalized to arbitrary crystal symmetries.建立一种有效修正相场模型来模拟小平面枝晶生长形貌。通过该模型分别研究网格大小、各向异性值、过饱和度及不同重对称性对小平面枝晶生长形貌的影响。结果表明,随着时间的推移,晶核生长为六重对称性的小平面形貌。当网格尺寸大于640×640时,小平面形貌不受模拟网格大小的影响。随着各向异性值的增加,小平面枝晶的尖端速度增大到一个饱和值后再逐渐降小。随着过饱和度的增加,晶核从一个圆形演化为发达的小平面枝晶形貌。根据Wulff理论和对应的小平面对称性模拟形貌图,证明所提出的模型是有效的,并能够拓展到任意重对称性的晶核生长的模拟。

关 键 词：phase field method strong anisotropy faceted dendrite Wulff theory tip velocity SYMMETRY 

分 类 号：O782[理学—晶体学]