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准晶三阶非线性弹性的轴转动对称性
引用本文:龙从国,江少林.准晶三阶非线性弹性的轴转动对称性[J].人工晶体学报,2006,35(2):299-301.
作者姓名:龙从国  江少林
作者单位:北京工业大学应用数理学院,北京,100022
摘    要:用群论方法导出具有轴转动群SO(2)对称性的三阶非线性弹性系数张量的一般形式.指出具有十次对称轴的准晶的声子型三阶非线性弹性系数张量具有围绕十次对称轴的任意旋转对称性.

关 键 词:准晶  三阶非线性弹性  轴转动对称性  
文章编号:1000-985X(2006)02-0299-03
收稿时间:10 31 2005 12:00AM
修稿时间:2005-10-31

Axial Rotation Symmetry of Third-order Nonlinear Elasticity of Quasicrystals
LONG Cong-guo,JIANG Shao-lin.Axial Rotation Symmetry of Third-order Nonlinear Elasticity of Quasicrystals[J].Journal of Synthetic Crystals,2006,35(2):299-301.
Authors:LONG Cong-guo  JIANG Shao-lin
Institution:College of Applied Sciences, Beijing University of Technology, Beijing 100022, China
Abstract:The general form of the third-order nonlinear elastic coefficient tensor having the symmetry of the group SO(2) was derived with the help of group theoretical methods.It is indicated that the third-order nonlinear elastic coefficient tensor for quasicrystals with ten-fold symmetry axis has an arbitrary rotation symmetry about the ten-fold axis.
Keywords:quasicrystal  third-order nonlinear elasticity  axial rotation symmetry
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