Static analysis of rectangular nanoplates using trigonometric shear deformation theory based on nonlocal elasticity theory
In this article, a new higher order shear deformation theory based on trigonometric shear deformation theory is developed. In order to consider the size effects, the nonlocal elasticity theory is used. An analytical method is adopted to solve the governing equations for static analysis of simply sup...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Beilstein-Institut
2013-12-01
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| Series: | Beilstein Journal of Nanotechnology |
| Subjects: | |
| Online Access: | https://doi.org/10.3762/bjnano.4.109 |
| _version_ | 1818449211538014208 |
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| author | Mohammad Rahim Nami Maziar Janghorban |
| author_facet | Mohammad Rahim Nami Maziar Janghorban |
| author_sort | Mohammad Rahim Nami |
| collection | DOAJ |
| description | In this article, a new higher order shear deformation theory based on trigonometric shear deformation theory is developed. In order to consider the size effects, the nonlocal elasticity theory is used. An analytical method is adopted to solve the governing equations for static analysis of simply supported nanoplates. In the present theory, the transverse shear stresses satisfy the traction free boundary conditions of the rectangular plates and these stresses can be calculated from the constitutive equations. The effects of different parameters such as nonlocal parameter and aspect ratio are investigated on both nondimensional deflections and deflection ratios. It may be important to mention that the present formulations are general and can be used for isotropic, orthotropic and anisotropic nanoplates. |
| first_indexed | 2024-12-14T20:31:48Z |
| format | Article |
| id | doaj.art-e3130ae4afc44116b6a377c330ca3b00 |
| institution | Directory Open Access Journal |
| issn | 2190-4286 |
| language | English |
| last_indexed | 2024-12-14T20:31:48Z |
| publishDate | 2013-12-01 |
| publisher | Beilstein-Institut |
| record_format | Article |
| series | Beilstein Journal of Nanotechnology |
| spelling | doaj.art-e3130ae4afc44116b6a377c330ca3b002022-12-21T22:48:31ZengBeilstein-InstitutBeilstein Journal of Nanotechnology2190-42862013-12-014196897310.3762/bjnano.4.1092190-4286-4-109Static analysis of rectangular nanoplates using trigonometric shear deformation theory based on nonlocal elasticity theoryMohammad Rahim Nami0Maziar Janghorban1School of Mechanical Engineering, Shiraz University, Shiraz, IranSchool of Mechanical Engineering, Shiraz University, Shiraz, IranIn this article, a new higher order shear deformation theory based on trigonometric shear deformation theory is developed. In order to consider the size effects, the nonlocal elasticity theory is used. An analytical method is adopted to solve the governing equations for static analysis of simply supported nanoplates. In the present theory, the transverse shear stresses satisfy the traction free boundary conditions of the rectangular plates and these stresses can be calculated from the constitutive equations. The effects of different parameters such as nonlocal parameter and aspect ratio are investigated on both nondimensional deflections and deflection ratios. It may be important to mention that the present formulations are general and can be used for isotropic, orthotropic and anisotropic nanoplates.https://doi.org/10.3762/bjnano.4.109nonlocal elasticity theoryrectangular nanoplatestatic analysistrigonometric shear deformation theory |
| spellingShingle | Mohammad Rahim Nami Maziar Janghorban Static analysis of rectangular nanoplates using trigonometric shear deformation theory based on nonlocal elasticity theory Beilstein Journal of Nanotechnology nonlocal elasticity theory rectangular nanoplate static analysis trigonometric shear deformation theory |
| title | Static analysis of rectangular nanoplates using trigonometric shear deformation theory based on nonlocal elasticity theory |
| title_full | Static analysis of rectangular nanoplates using trigonometric shear deformation theory based on nonlocal elasticity theory |
| title_fullStr | Static analysis of rectangular nanoplates using trigonometric shear deformation theory based on nonlocal elasticity theory |
| title_full_unstemmed | Static analysis of rectangular nanoplates using trigonometric shear deformation theory based on nonlocal elasticity theory |
| title_short | Static analysis of rectangular nanoplates using trigonometric shear deformation theory based on nonlocal elasticity theory |
| title_sort | static analysis of rectangular nanoplates using trigonometric shear deformation theory based on nonlocal elasticity theory |
| topic | nonlocal elasticity theory rectangular nanoplate static analysis trigonometric shear deformation theory |
| url | https://doi.org/10.3762/bjnano.4.109 |
| work_keys_str_mv | AT mohammadrahimnami staticanalysisofrectangularnanoplatesusingtrigonometricsheardeformationtheorybasedonnonlocalelasticitytheory AT maziarjanghorban staticanalysisofrectangularnanoplatesusingtrigonometricsheardeformationtheorybasedonnonlocalelasticitytheory |