五次对称准晶的非线性弹性性质  

Nonlinear Elastic Properties of Pentagonal Quasicrystals

作　　者：王爱军[1] 胡承正[1] 周详[1] 缪灵[1] 

机构地区：[1]武汉大学物理科学与技术学院,湖北武汉430072

出　　处：《武汉大学学报（理学版）》2005年第5期563-566,共4页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金资助项目(19774044)

摘　　要：利用对称性理论,分析了五次对称准晶的非线性弹性性质,计算了五次准晶的二个Laue类所有的三阶弹性常数,结果表明Laue 11(5 5)具有72个独立三阶弹性常数(12个属于声子场,10个属于相位子场,24个属于声子-声子-相位子耦合场,26个属于声子-相位子-相位子耦合场);Laue 12(5m,52,5 m)具有43个独立的三阶弹性常数,(10个属于声子场,5个属于相位子场,12个属于声子-声子-相位子耦合场,16个属于声子-相位子-相位子耦合场).由此可知:五次准晶的(三阶声子)非线性弹性性质和与声子、相位子耦合有关的线性弹性性质都展现了准晶的各向异性.Quasicrystals have both positional and orientational long-range order. Thus, they are essentially anisotropic. However, both theory and experiment show that ordinary linear elastic property （linear phonon elasticity） is isotropic for quasicrystals. To detect the quasicrystal anisotropy the nonlinear elasticity should be discussed. In this paper, the independent components of nonlinear （third-order） elastic constants for five-fold quasicrystals are determined with the group theory . Results show that the nonlinear phonon elastic properties are expected to be anisotropic.

关 键 词：非线性弹性 三阶弹性常数 声子-相位子耦合 

分 类 号：O753[理学—晶体学]