| 各向异性表面张力对柱晶界面形态的影响 |
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| 作者姓名： | 杨振超 陈明文 王艳林 王自东 |
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| 作者单位： | 1. 北京科技大学数学物理学院, 北京 100083; |
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| 基金项目： | 教育部海外名师项目;江西省科技支撑计划;国家自然科学基金 |
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| 摘 要： | 本文研究了拟稳态时各向异性表面张力作用下柱晶界面的生长行为.在运用渐近分析方法求解柱晶界面形态数学表达式的基础上,分析在不同各向异性表面张力强度影响下柱晶界面形态的变化.各向异性表面张力对柱晶界面形态有显著影响.在柱晶生长开始阶段,柱晶部分界面首先向内收缩,当收缩达到某个临界值后,界面开始向外生长.柱晶界面沿着优先生长方向更快地生长.柱晶界面形态上形成突起变形,各向异性表面张力强度越大,柱晶界面形态的突起变形越明显.
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| 关 键 词： | 晶体 各向异性 表面张力 渐近展开法 晶体生长 形态 |
| 收稿时间： | 2014-05-31 |
Effect of anisotropic surface tension on the interface morphology of column crystals |
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| Affiliation: | 1. Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China;2. School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China;3. School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | The effect of anisotropic surface tension on the growth behavior of column crystals at quasi-steady state is considered in this article. By using the method of asymptotic expansion,a mathematic expression is obtained to describe the interface patterns of column crystals,and the interface morphology change with different anisotropic parameters is discussed. The results show that anisotropic surface tension has a great effect on the interface morphology. During the initial stage,some part of the interface shrinks inward first,and then it starts to move outward after the shrink reaches a critical value. In the direction of preferred growth,the interface of column crystals grows faster. The effect of anisotropic surface tension leads to bulge formation of the interface. As the anisotropic parameters increase,the bulge formation gets obvious. |
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