Final Governing Equation of Plane Elasticity of Icosahedral Quasicrystals and General Solution Based on Stress Potential Function  

作　　者：李联和 范天佑 

机构地区：[1]Department of Physics, Beijing Institute of Technology, Beijing 100081 [2]Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022

出　　处：《Chinese Physics Letters》2006年第9期2519-2521,共3页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10372016.

摘　　要：The stress potential function theory for plane elasticity of icosahedral quasicrystals is developed. By introducing stress functions, huge numbers of basic equations involving elasticity of icosahedral quasicrystals are reduced to a single partial differential equation of the 12th order. The general solution of the equation is expressed by 6 analytic functions of complex variable z = x ＋ iy.The stress potential function theory for plane elasticity of icosahedral quasicrystals is developed. By introducing stress functions, huge numbers of basic equations involving elasticity of icosahedral quasicrystals are reduced to a single partial differential equation of the 12th order. The general solution of the equation is expressed by 6 analytic functions of complex variable z = x ＋ iy.

关 键 词：DISLOCATIONS SYMMETRY 

分 类 号：O7[理学—晶体学]