Direction-dependent functions of physical properties for crystals and polycrystals  

作　　者：Mojia Huang Mengcheng Chen Tenglong Zheng 

机构地区：[1]Institute of Advanced Study, Nanchang University, 330031 Nanchang, China [2]Institute Of Engineering Mechanics, Nanchang University,330031 Nanchang, China [3]East China Jiaotong University, 330013 Nanchang, China

出　　处：《Acta Mechanica Sinica》2009年第5期639-649,共11页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (10562004, 10662004);the Jiangxi Project to Nurture Academic and Technical Leaders in Targeted Areas;the Research Fund for the Docotoral Program of Higher Education (20070403003);the Natural Science Foundation of Jiangxi of China (2008GZW0005).

摘　　要：Some physical properties of crystals differ in direction n because crystal lattices are often anisotropic. A polycrystal is an aggregate of numerous tiny crystallites. Unless the polycrystal is an isotropic aggregate of crystallites, the physical properties of the polycrystal vary with n. The direction-dependent functions （DDF） for crystals and polycrystals are introduced to describe the variations of the physical properties in direction n. Until now there are few papers dealing systematically with relations between the DDF and the crystalline orientation distribution. Herein we give general expressions of the DDF for crystals and polycrystals. We discuss the applications of the DDF in describing the physical properties of crystals and polycrystals.Some physical properties of crystals differ in direction n because crystal lattices are often anisotropic. A polycrystal is an aggregate of numerous tiny crystallites. Unless the polycrystal is an isotropic aggregate of crystallites, the physical properties of the polycrystal vary with n. The direction-dependent functions （DDF） for crystals and polycrystals are introduced to describe the variations of the physical properties in direction n. Until now there are few papers dealing systematically with relations between the DDF and the crystalline orientation distribution. Herein we give general expressions of the DDF for crystals and polycrystals. We discuss the applications of the DDF in describing the physical properties of crystals and polycrystals.

关 键 词：Direction-dependent function Orientation distribution function Physical properties of crystals and polycrystals 

分 类 号：O174[理学—数学] TQ175.715[理学—基础数学]