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

doi:10.1088/1674-1056/acfaf3

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.

Keywords: Hamiltonian system symplectic elasticity quasicrystals analytic solution state function

Received: 08 May 2023
Revised: 06 August 2023
Accepted manuscript online: 19 September 2023

PACS:	61.44.Br	(Quasicrystals)
	46.25.-y	(Static elasticity)
	02.30.Jr	(Partial differential equations)

Fund: 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), and the High-level Talents Scientific Research Start-up Foundation of Inner Mongolia University (Grant No. 10000-21311201/165).

Corresponding Authors: Jincun Liu
E-mail: jcliu@imu.edu.cn

Cite this article:

Zhiqiang Sun(孙志强), Guolin Hou(侯国林), Yanfen Qiao(乔艳芬), and Jincun Liu (刘金存) Hamiltonian system for the inhomogeneous plane elasticity of dodecagonal quasicrystal plates and its analytical solutions 2024 Chin. Phys. B 33 016107

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

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