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

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【Author】 Zhiqiang Sun;Guolin Hou;Yanfen Qiao;Jincun Liu;School of Mathematical Sciences,Inner Mongolia University;

【通讯作者】刘金存;

【机构】 School of Mathematical Sciences,Inner Mongolia University；

【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.更多还原

【Abstract】 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.更多还原

【关键词】 Hamiltonian system； symplectic elasticity； quasicrystals； analytic solution； state function；
【Key words】 Hamiltonian system； symplectic elasticity； quasicrystals； analytic solution； state function；

【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)

【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2024年01期

【分类号】O241.82
【下载频次】1

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