Fabric analysis by orientation distribution functions
Fabric analysis by orientation distribution functions
复制标题
通过方向分布函数进行织物分析
DOI：
10.1016/0040-1951(81)90003-2
复制
发表时间：
1981
期刊：
影响因子：
2.9
通讯作者：
H. Bunge
中科院分区：
文献类型：
--
作者：
H. Bunge
晶体材料（天然或人造）可能由几个相（矿物）组成，其晶体结构和相对量通常是已知的。为了充分表征这种材料，还必须通过适当的分布函数来指定相的形式和空间分布、晶粒结构和晶格缺陷及其分布。其中，取向分布函数（纹理、织物结构）起着重要的作用。它可以从实验极图中通过级数展开法推导出来。在织构材料中，可以区分两种不同的对称性，晶体对称性和统计样本对称性。必须特别考虑到反演中心作为这些对称性中的一个元素和傅立叶定律。所有可能的样本对称性的完整描述都可以用黑白对称群给出。纹理函数奇部的确定与这些组和各种反演中心密切相关。某一晶体对称群与某一样品对称群的每一个组合在取向空间中诱导出某一空间群，适当地考虑该空间群可以使所需的数值计算量最小化。织构函数（ODF）是研究单晶材料和多晶材料各向异性性质之间关系的最重要因素。ODF的变化可以用作材料中发生固态过程的敏感指标。
Crystalline materials (natural or artificial) may consist of several phases (minerals) the crystal structures and relative amounts of which will generally be known. In order to fully characterize such a material, also the form and spatial distribution of the phases, the grain structure, and lattice defects and their distribution must be specified by appropriate distribution functions. Among these, the Orientation Distribution Function (texture, fabric structure) plays an important role. It can be deduced from experimental pole figures by series expansion methods. In textured materials two different symmetries can be distinguished, the crystal symmetry and the statistical sample symmetry. Special consideration must be given to the inversion centre as an element of either of these symmetries and in Friedels' law. A complete description of all possible sample symmetries can be given in terms of black—white symmetry groups. The determination of the odd part of the texture function is strongly related to these groups and the various kinds of the inversion centre. Each combination of a certain crystal symmetry group with a certain sample symmetry group induces a certain space group in the orientation space, the proper consideration of which minimizes the required amount of numerical calculations. The texture function (ODF) is the most important factor in the relation between anisotropic properties of single crystals and the polycrystalline material. Changes of the ODF can be used as a sensitive indicator for solid state processes having occurred in the material.