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2014 On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm
Hua Wang, Jianrui Chen, Xiaoyu Zhang
Abstr. Appl. Anal. 2014(none): 1-7 (2014). DOI: 10.1155/2014/367018

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.

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Hua Wang. Jianrui Chen. Xiaoyu Zhang. "On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/367018

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022236
MathSciNet: MR3228068
Digital Object Identifier: 10.1155/2014/367018

Rights: Copyright © 2014 Hindawi

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