期刊
COMPUTATIONAL MATERIALS SCIENCE
卷 32, 期 3-4, 页码 276-283出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.commatsci.2004.09.041
关键词
crystallite orientation distribution function; crystallographic texture; maximum entropy method; tensorial Fourier expansion
The problem of estimating the crystallite orientation distribution function (codf) based on the leading texture coefficients is considered. Problems of such a type are called moment problems, which are well known in statistical mechanics and other areas of science. It is shown how the maximum entropy method can be applied to estimate the codf. Special emphasis is given to a coordinate-free formulation of the problem. The codf is represented by a tensorial Fourier series. The equations, which have to be solved for the estimate of the distribution function, are derived for all tensor ranks of the Fourier coefficients. As a numerical example, a model codf is estimated based on a set of discrete crystal orientations given by a full-constrained Taylor type texture simulation. (C) 2004 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据