相场法模拟动力学各向异性对过冷熔体中晶体生长的影响

金属学报

2009, Vol. 45

Issue (10): 1237-1241

论文

本期目录 | 过刊浏览

相场法模拟动力学各向异性对过冷熔体中晶体生长的影响

赵达文;李金富

上海交通大学材料科学与工程学院金属基复合材料国家重点实验室; 上海 200240

PHASE–FIELD SIMULATION OF THE EFFECT OF KINETIC ANISOTROPY ON CRYSTAL GROWTH IN UNDERCOOLED MELTS

ZHAO Dawen; LI Jinfu

State Key Laboratory of Metal Matrix Composites; School of Materials Science and Engineering; Shanghai Jiao Tong University; Shanghai 200240

引用本文:

赵达文李金富. 相场法模拟动力学各向异性对过冷熔体中晶体生长的影响[J]. 金属学报, 2009, 45(10): 1237-1241.
, . PHASE–FIELD SIMULATION OF THE EFFECT OF KINETIC ANISOTROPY ON CRYSTAL GROWTH IN UNDERCOOLED MELTS[J]. Acta Metall Sin, 2009, 45(10): 1237-1241.

全文: PDF(1300 KB)

摘要:

采用相场模型定量模拟了动力学各向异性作用下过冷熔体中的晶体生长过程. 模拟结果表明, 仅存在动力学各向异性时, 各向异性系数大小对生长方式选择起着决定性作用. 当各向异性较低时, 固相以分形方式生长, 在生长过程中不存在占优势的生长方向, 同时也不存在稳态生长状态; 而当各向异性系数大于0.02时, 固相以枝晶方式沿<110>方向生长. 进一步研究表明, 枝晶生长稳定性系数随各向异性值的增加而增加, 而与动力学系数取值无关.

关键词 ：动力学各向异性, 分形生长, 枝晶生长, 相场模型, 自适应有限元法

Abstract：

Solidification is generally determined by a complex interplay of heat and/or solute diffusion processes, capillary and/or kinetic effects of the solid/liquid interface. Theoretical analysis indicates that the crystal growth morphology and behavior both depend sensitively on the degree of the capillary and kinetic anisotropy. In present, the influences of capillary anisotropy on crystal growth process have been extensively studied, especially simulated by the phase–field model. Unfortunately, the influences of kinetic anisotropy on the crystal growth morphology and behavior are seldom researched. In this paper, the phase–field model was employed to quantitatively simulate the effects of kinetic anisotropy on the crystal growth in undercooled melts. It is illustrated that the selection of the solid/liquid interface morphology is determined by the kinetic anisotropic parameter if the capillary anisotropy s set as zero. With a wak kinetc anisotropy, the melt solidifies in a fractal pattern, during which there s no obvious preferrd growth drection, and any steady–state gowth cannot be detected. As a stong anisotropy becomes greater than 0.02, the interface morphology changes to a dendritic pattern growth along the h110i orientation. Further analysis indicates that the stability parameter ncreases inearly with the increase of inetic anisotropic parameter and is independent of the kinetic coefficient.

Key words： kinetic anisotropy fractal growth dendrite growth phase--field model adaptive finite element method

收稿日期: 2009-02-24

ZTFLH:

TG142

基金资助:

国家自然科学基金资助项目50571068

作者简介: 赵达文, 男, 1973年生, 博士

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