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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/367018 |
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| _version_ | 1849395318764863488 |
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| author | Hua Wang Jianrui Chen Xiaoyu Zhang |
| author_facet | Hua Wang Jianrui Chen Xiaoyu Zhang |
| author_sort | Hua Wang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-aae419431a1249b89d2dd76522e77cc0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-aae419431a1249b89d2dd76522e77cc02025-08-20T03:39:40ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/367018 |
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