Equilibrium particle morphologies in elastically stressed coherent solids

被引:35
|
作者
Thompson, ME [1 ]
Voorhees, PW [1 ]
机构
[1] Northwestern Univ, Dept Mat Sci & Engn, Evanston, IL 60208 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S1359-6454(98)00379-6
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We determine the three-dimensional equilibrium shapes of particles with a purely dilatational misfit in an elastically anisotropic medium with cubic symmetry. We have identified a succession of cuboidal shapes with four-fold rotational symmetry that minimize the total energy of the system. In the process of determining these equilibrium morphologies, we have also developed a computationally efficient approach to determine the equilibrium shape which is many orders of magnitude faster than a standard implementation of Newton's method. For small elastic stress a (100) cross-section of the three-dimensional equilibrium shape agrees well with the two-dimensional calculation. However, for larger values of the elastic stress, the agreement is not as good. Elastic-stress-induced configurational forces are identified as the reason for the non-spherical equilibrium shapes. (C) 1999 Acta Metallurgica Inc. Published by Elsevier, Science Ltd. All rights reserved.
引用
收藏
页码:983 / 996
页数:14
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