Analytical predictions for the buckling of a nanoplate subjected to non-uniform compression based on the four-variable plate theory
In the present study, the buckling analysis of the rectangular nanoplate under biaxial non-uniform compression using the modified couple stress continuum theory with various boundary conditions has been considered. The simplified first order shear deformation theory (S-FSDT) has been employed and th...
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2017-08-01
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| Series: | Journal of Applied and Computational Mechanics |
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| Online Access: | http://jacm.scu.ac.ir/article_12806_c7951e883466717e59108db95652074b.pdf |
| _version_ | 1818179324013969408 |
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| author | Mohammad Malikan |
| author_facet | Mohammad Malikan |
| author_sort | Mohammad Malikan |
| collection | DOAJ |
| description | In the present study, the buckling analysis of the rectangular nanoplate under biaxial non-uniform compression using the modified couple stress continuum theory with various boundary conditions has been considered. The simplified first order shear deformation theory (S-FSDT) has been employed and the governing differential equations have been obtained using the Hamilton’s principle. An analytical approach has been applied to obtain exact results from various boundary conditions. Due to the fact that there is not any research about the buckling of nanoplates based on the S-FSDT including the couple stress effect, the obtained results have been compared with the molecular dynamic simulation and FSDT papers which use the Eringen nonlocal elasticity theory. At the end, the results have been presented by making changes in some parameters such as the aspect ratio, the effect of various non-uniform loads and the length scale parameter. |
| first_indexed | 2024-12-11T21:02:03Z |
| format | Article |
| id | doaj.art-8d1f5cc56fae4f08905c74587a7819ee |
| institution | Directory Open Access Journal |
| issn | 2383-4536 2383-4536 |
| language | English |
| last_indexed | 2024-12-11T21:02:03Z |
| publishDate | 2017-08-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-8d1f5cc56fae4f08905c74587a7819ee2022-12-22T00:50:57ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362017-08-013321822810.22055/jacm.2017.21757.111512806Analytical predictions for the buckling of a nanoplate subjected to non-uniform compression based on the four-variable plate theoryMohammad Malikan0Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, Mashhad, IranIn the present study, the buckling analysis of the rectangular nanoplate under biaxial non-uniform compression using the modified couple stress continuum theory with various boundary conditions has been considered. The simplified first order shear deformation theory (S-FSDT) has been employed and the governing differential equations have been obtained using the Hamilton’s principle. An analytical approach has been applied to obtain exact results from various boundary conditions. Due to the fact that there is not any research about the buckling of nanoplates based on the S-FSDT including the couple stress effect, the obtained results have been compared with the molecular dynamic simulation and FSDT papers which use the Eringen nonlocal elasticity theory. At the end, the results have been presented by making changes in some parameters such as the aspect ratio, the effect of various non-uniform loads and the length scale parameter.http://jacm.scu.ac.ir/article_12806_c7951e883466717e59108db95652074b.pdfNonuniform compressionModified couple stress theoryS-FSDT |
| spellingShingle | Mohammad Malikan Analytical predictions for the buckling of a nanoplate subjected to non-uniform compression based on the four-variable plate theory Journal of Applied and Computational Mechanics Nonuniform compression Modified couple stress theory S-FSDT |
| title | Analytical predictions for the buckling of a nanoplate subjected to non-uniform compression based on the four-variable plate theory |
| title_full | Analytical predictions for the buckling of a nanoplate subjected to non-uniform compression based on the four-variable plate theory |
| title_fullStr | Analytical predictions for the buckling of a nanoplate subjected to non-uniform compression based on the four-variable plate theory |
| title_full_unstemmed | Analytical predictions for the buckling of a nanoplate subjected to non-uniform compression based on the four-variable plate theory |
| title_short | Analytical predictions for the buckling of a nanoplate subjected to non-uniform compression based on the four-variable plate theory |
| title_sort | analytical predictions for the buckling of a nanoplate subjected to non uniform compression based on the four variable plate theory |
| topic | Nonuniform compression Modified couple stress theory S-FSDT |
| url | http://jacm.scu.ac.ir/article_12806_c7951e883466717e59108db95652074b.pdf |
| work_keys_str_mv | AT mohammadmalikan analyticalpredictionsforthebucklingofananoplatesubjectedtononuniformcompressionbasedonthefourvariableplatetheory |