Abstract and Applied Analysis

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

Hua Wang, Jianrui Chen, and Xiaoyu Zhang

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 367018, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277073

Digital Object Identifier
doi:10.1155/2014/367018

Mathematical Reviews number (MathSciNet)
MR3228068

Zentralblatt MATH identifier
07022236

Citation

Wang, Hua; Chen, Jianrui; Zhang, Xiaoyu. On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm. Abstr. Appl. Anal. 2014 (2014), Article ID 367018, 7 pages. doi:10.1155/2014/367018. https://projecteuclid.org/euclid.aaa/1412277073


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