Size‐dependent static bending of anisotropic rectangular nanoplates with cubic crystal structures
Abstract Here, size‐dependent static bending of anisotropic rectangular nanoplates is investigated based on surface elasticity theory. The governing equations of the nanoplate are derived considering the most common boundary conditions in MEMS/NEMS. To solve the derived equations, the generalized di...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-05-01
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| Series: | Micro & Nano Letters |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/mna2.12056 |
| _version_ | 1818393988613275648 |
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| author | Abbas Assadi Hossein Najaf Mostafa Nazemizadeh |
| author_facet | Abbas Assadi Hossein Najaf Mostafa Nazemizadeh |
| author_sort | Abbas Assadi |
| collection | DOAJ |
| description | Abstract Here, size‐dependent static bending of anisotropic rectangular nanoplates is investigated based on surface elasticity theory. The governing equations of the nanoplate are derived considering the most common boundary conditions in MEMS/NEMS. To solve the derived equations, the generalized differential quadrature method is used and the results are verified with experimental ones due to similarities of the results for cantilever nanoplates and nanobeams. Also, several simulations are performed considering fully clamped, two edges clamped, and cantilever boundary conditions for the mostly used anisotropic materials with face‐centred cubic and body‐centred cubic crystal structures. The obtained results indicate that the static bending behaviour of the nanoplate extremely depends on material anisotropy and orientation, surface effects, and boundary conditions. Moreover, the results are comprehensively discussed for changing the geometrical aspect ratio of the nanoplate. |
| first_indexed | 2024-12-14T05:54:04Z |
| format | Article |
| id | doaj.art-162cfaaefadc463f8472b5c3293f39e5 |
| institution | Directory Open Access Journal |
| issn | 1750-0443 |
| language | English |
| last_indexed | 2024-12-14T05:54:04Z |
| publishDate | 2021-05-01 |
| publisher | Wiley |
| record_format | Article |
| series | Micro & Nano Letters |
| spelling | doaj.art-162cfaaefadc463f8472b5c3293f39e52022-12-21T23:14:37ZengWileyMicro & Nano Letters1750-04432021-05-0116635035810.1049/mna2.12056Size‐dependent static bending of anisotropic rectangular nanoplates with cubic crystal structuresAbbas Assadi0Hossein Najaf1Mostafa Nazemizadeh2Faculty of Mechanics Malek Ashtar University of Technology IranFaculty of Mechanics Malek Ashtar University of Technology IranFaculty of Mechanics Malek Ashtar University of Technology IranAbstract Here, size‐dependent static bending of anisotropic rectangular nanoplates is investigated based on surface elasticity theory. The governing equations of the nanoplate are derived considering the most common boundary conditions in MEMS/NEMS. To solve the derived equations, the generalized differential quadrature method is used and the results are verified with experimental ones due to similarities of the results for cantilever nanoplates and nanobeams. Also, several simulations are performed considering fully clamped, two edges clamped, and cantilever boundary conditions for the mostly used anisotropic materials with face‐centred cubic and body‐centred cubic crystal structures. The obtained results indicate that the static bending behaviour of the nanoplate extremely depends on material anisotropy and orientation, surface effects, and boundary conditions. Moreover, the results are comprehensively discussed for changing the geometrical aspect ratio of the nanoplate.https://doi.org/10.1049/mna2.12056anisotropic nanoplatecubic crystal structuresize effectsstatic bendingNumerical approximation and analysisElasticity, elastic constants |
| spellingShingle | Abbas Assadi Hossein Najaf Mostafa Nazemizadeh Size‐dependent static bending of anisotropic rectangular nanoplates with cubic crystal structures Micro & Nano Letters anisotropic nanoplate cubic crystal structure size effects static bending Numerical approximation and analysis Elasticity, elastic constants |
| title | Size‐dependent static bending of anisotropic rectangular nanoplates with cubic crystal structures |
| title_full | Size‐dependent static bending of anisotropic rectangular nanoplates with cubic crystal structures |
| title_fullStr | Size‐dependent static bending of anisotropic rectangular nanoplates with cubic crystal structures |
| title_full_unstemmed | Size‐dependent static bending of anisotropic rectangular nanoplates with cubic crystal structures |
| title_short | Size‐dependent static bending of anisotropic rectangular nanoplates with cubic crystal structures |
| title_sort | size dependent static bending of anisotropic rectangular nanoplates with cubic crystal structures |
| topic | anisotropic nanoplate cubic crystal structure size effects static bending Numerical approximation and analysis Elasticity, elastic constants |
| url | https://doi.org/10.1049/mna2.12056 |
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