Hamiltonian system for the inhomogeneous plane elasticity of dodecagonal quasicrystal plates and its analytical solutions  

作　　者：孙志强 侯国林 乔艳芬 刘金存 Zhiqiang Sun;Guolin Hou;Yanfen Qiao;Jincun Liu(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China)

机构地区：[1]School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China

出　　处：《Chinese Physics B》2024年第1期581-590,共10页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos.12261064 and 11861048);the Natural Science Foundation of Inner Mongolia,China (Grant Nos.2021MS01004 and 2022QN01008);the High-level Talents Scientific Research Start-up Foundation of Inner Mongolia University (Grant No.10000-21311201/165)。

摘　　要：A Hamiltonian system is derived for the plane elasticity problem of two-dimensional dodecagonal quasicrystals by introducing the simple state function. By using symplectic elasticity approach, the analytic solutions of the phonon and phason displacements are obtained further for the quasicrystal plates. In addition, the effectiveness of the approach is verified by comparison with the data of the finite integral transformation method.

关 键 词：Hamiltonian system symplectic elasticity QUASICRYSTALS analytic solution state function 

分 类 号：O241.82[理学—计算数学]