The Von-Neumann-Mullins relationship for two-dimensional grain growth is modified for the case of grain boundary faceting. It is shown that the anisotropy of grain boundary energy alone slows down the rate of normal grain growth. For highly mobile facets, however, the acceleration of the growth process is possible, accompanied by development of anisotropic microstructure. It is shown that the mean-field approach to the problem of grain growth in highly anisotropic polycrystal results in parabolic growth law similar to that for isotropic systems, with the facet mobility and maximal torque substituting the grain boundary mobility and grain boundary energy in isotropic systems. (C) 2005 Springer Science + Business Media, Inc.
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机译：对于晶粒边界刻面的情况，对二维晶粒生长的冯-诺依曼-穆林关系进行了修改。结果表明，仅晶界能的各向异性会减慢正常晶粒的生长速度。但是，对于高度移动的面，可能会加快生长过程，并伴随着各向异性微观结构的发展。结果表明，均质场法解决了各向异性高的多晶晶粒生长问题，其抛物线生长规律与各向同性系统相似，小面迁移率和最大转矩代替了各向同性系统中的晶界迁移率和晶界能。 （C）2005年Springer Science + Business Media，Inc.
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