Symplectic approach for plane elasticity problems of two-dimensional octagonal quasicrystals

作者：

Highlights：

• Analytic solutions of point group 8mm QCs are derived by the symplectic approach.

• The validity of the symplectic approach is validated by several numerical tests.

• The framework of the Hamiltonian system for QCs with Laue class 15 is established.

• The final governing equation of plane elasticity of QCs with Laue class 15 is got.

摘要

•Analytic solutions of point group 8mm QCs are derived by the symplectic approach.•The validity of the symplectic approach is validated by several numerical tests.•The framework of the Hamiltonian system for QCs with Laue class 15 is established.•The final governing equation of plane elasticity of QCs with Laue class 15 is got.

论文关键词：Octagonal quasicrystal,Plane elasticity,Symplectic approach,Hamiltonian operator,Analytic solution

论文评审过程：Received 23 November 2020, Revised 14 January 2021, Accepted 31 January 2021, Available online 13 February 2021, Version of Record 13 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126043