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On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm

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  • Hua Wang
  • Jianrui Chen
  • Xiaoyu Zhang

Abstract

The symplectic approach, the separation of variables based on Hamiltonian systems, for the plane elasticity problem of quasicrystals with point group 12 mm is developed. By introducing appropriate transformations, the basic equations of the problem are converted to two independent Hamiltonian dual equations, and the associated Hamiltonian operator matrices are obtained. The study of the operator matrices shows the feasibility of the method. Without any assumptions, the general solution is presented for the problem with mixed boundary conditions.

Suggested Citation

  • Hua Wang & Jianrui Chen & Xiaoyu Zhang, 2014. "On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, June.
    • Handle: RePEc:hin:jnlaaa:367018
    DOI: 10.1155/2014/367018
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    Cited by:

    1. Qiao, Yanfen & Hou, Guolin & Chen, Alatancang, 2021. "Symplectic approach for plane elasticity problems of two-dimensional octagonal quasicrystals," Applied Mathematics and Computation, Elsevier, vol. 400(C).

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