立方晶粒正交金属板材微结构系数的超声测量

Ultrasonic measurement for texture coefficients of cubic crystallite orthorhombic sheets

多晶体的晶粒取向分布可通过取向分布函数(orientation distribution function,ODF)表示,取向分布函数(ODF)可在Wigner D函数基下展开,其展开系数称为织构系数。利用Clebsch-Gordan表达式可推导出立方晶粒多晶体材料的弹性张量显表达式。对于立方晶粒正交板材,其弹性张量中包含3个材料常数和3个织构系数,根据这3个织构系数与超声波速间的关系式,通过超声波实验来测出这3个织构系数。

The crystalline orientation distribution can be described by the orientation distribution function （ODF）. The ODF can be expanded under Wigner D-functions and the corresponding expanded coefficients are called the texture coefficients. Based on Voigt model, use the Clebsch-Gordan expression, the constitu-tive relation for an orthorhombic aggregate of cubic crystallites was derived. The elastic tensor include three material constants and three texture coefficients. According to the relationship between texture coef-ficients and the ultrasonic velocity, we can measure the three texture coefficients by ultrasonic experi-ments.