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

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

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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.

Hamiltonian systemsymplectic elasticityquasicrystalsanalytic solutionstate function

孙志强、侯国林、乔艳芬、刘金存

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School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNatural Science Foundation of Inner Mongolia,ChinaNatural Science Foundation of Inner Mongolia,ChinaHighlevel Talents Scientific Research Startup Foundation of Inner Mongolia University

12261064118610482021MS010042022QN0100810000-21311201/165

2024

10.1088/1674-1056/acfaf3

中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI
影响因子：0.995
ISSN：1674-1056
年,卷(期)：2024.33(1)
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