Elasticity tensor and ultrasonic velocities for anisotropic cubic polycrystal  

作　　者：HUANG MoJia CHEN MengCheng ZHENG TengLong HUANG WeiFu 

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

出　　处：《Science China(Physics,Mechanics & Astronomy)》2008年第8期1097-1105,共9页中国科学：物理学、力学、天文学（英文版）

基　　金：the National Natural Science Foundation of China (Grant Nos. 10562004 and 10662004);the Jiangxi Project to Nature Academic and Technical Leaders in Targeted Areas, and Research Fund for the Doctoral Program of Higher Education (Grant No. 20070403003)

摘　　要：The orientation distribution of crystallites in a polycrystal can be described by the orientation distribution function(ODF) . The ODF can be expanded under the Wigner D-bases. The expanded coefficients in the ODF are called the texture coefficients. In this paper,we use the Clebsch-Gordan expression to derive an explicit expression of the elasticity tensor for an anisotropic cubic polycrystal. The elasticity tensor contains three material constants and nine texture coefficients. In order to measure the nine texture coefficients by ultrasonic wave,we give relations between the nine texture coefficients and ultrasonic propagation velocities. We also give a numerical example to check the relations.The orientation distribution of crystallites in a polycrystal can be described by the orientation distribution function (ODF). The ODF can be expanded under the Wigner D-bases. The expanded coefficients in the ODF are called the texture coefficients. In this paper, we use the Clebsch-Gordan expression to derive an explicit expression of the elasticity tensor for an anisotropic cubic polycrystal. The elasticity tensor contains three material constants and nine texture coefficients. In order to measure the nine texture coefficients by ultrasonic wave, we give relations between the nine texture coefficients and ultrasonic propagation velocities. We also give a numerical example to check the relations.

关 键 词：elasticity tensor ANISOTROPIC CUBIC POLYCRYSTALS texture coefficients ultrasonic VELOCITIES Clebsch-Gordan expression 

分 类 号：O343.8[理学—固体力学]