Constitutive relation of weakly anisotropic polycrystal with microstructure and initial stress  

作　　者：Mojia Huang Hua Zhan Xiuqiao Lin Hai Tang 

机构地区：[1]Institute of Engineering Mechanics, Nanchang University,Nanchang 330029, China

出　　处：《Acta Mechanica Sinica》2007年第2期183-198,共16页力学学报（英文版）

基　　金：the National Natural Science Foundation of China(10562004,10662004);the Natural Science Foundation of Jiangxi of China(0512021);the Science Foundation of Jiangxi Educational Department of China([2006]3);the Foundation of Train

摘　　要：Man （Nondestr Test Eval 15：191-214, 1999） derived the constitutive relation of a weakly-textured orthorhombic aggregate of cubic crystallites with effects of microstructure and initial stress. In this paper, a computational expression on the integration ∫SO（3） Q^× D^1m0dg is given. Then, by means of the computational expression, the general constitutive relation of a weakly-textured anisotropic polycrystal with the consideration of microstructure and initial stress is derived. As special cases of our general constitutive relation, two constitutive relations are given for an isotropic polycrystal and a weakly-textured anisotropic aggregate of cubic crystallites. The acoustoelastic tensor of the reference cubic crystal is derived to determine the material constants of the polycrystal. Two examples are given for understanding the physical meaning of the texture coefficients and the constitutive relations.Man （Nondestr Test Eval 15：191-214, 1999） derived the constitutive relation of a weakly-textured orthorhombic aggregate of cubic crystallites with effects of microstructure and initial stress. In this paper, a computational expression on the integration ∫SO（3） Q^× D^1m0dg is given. Then, by means of the computational expression, the general constitutive relation of a weakly-textured anisotropic polycrystal with the consideration of microstructure and initial stress is derived. As special cases of our general constitutive relation, two constitutive relations are given for an isotropic polycrystal and a weakly-textured anisotropic aggregate of cubic crystallites. The acoustoelastic tensor of the reference cubic crystal is derived to determine the material constants of the polycrystal. Two examples are given for understanding the physical meaning of the texture coefficients and the constitutive relations.

关 键 词：Generalconstitutive relation of weakly-textured polycrystal .Microstructure Initial stress .Cubic crystallites 

分 类 号：O733[理学—晶体学]