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

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

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 e...

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Bibliographic Details
Main Authors: Hua Wang, Jianrui Chen, Xiaoyu Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/367018
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spelling doaj-aae419431a1249b89d2dd76522e77cc02020-11-24T22:26:39ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/367018367018On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mmHua Wang0Jianrui Chen1Xiaoyu Zhang2College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, ChinaCollege of Sciences, Inner Mongolia University of Technology, Hohhot 010051, ChinaCollege of Sciences, Inner Mongolia University of Technology, Hohhot 010051, ChinaThe 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.http://dx.doi.org/10.1155/2014/367018
collection DOAJ
language English
format Article
sources DOAJ
author Hua Wang
Jianrui Chen
Xiaoyu Zhang
spellingShingle Hua Wang
Jianrui Chen
Xiaoyu Zhang
On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm
Abstract and Applied Analysis
author_facet Hua Wang
Jianrui Chen
Xiaoyu Zhang
author_sort Hua Wang
title On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm
title_short On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm
title_full On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm
title_fullStr On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm
title_full_unstemmed On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm
title_sort on symplectic analysis for the plane elasticity problem of quasicrystals with point group 12 mm
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/367018
work_keys_str_mv AT huawang onsymplecticanalysisfortheplaneelasticityproblemofquasicrystalswithpointgroup12mm
AT jianruichen onsymplecticanalysisfortheplaneelasticityproblemofquasicrystalswithpointgroup12mm
AT xiaoyuzhang onsymplecticanalysisfortheplaneelasticityproblemofquasicrystalswithpointgroup12mm
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