Nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shells
The paper deals with the formulation of governing equations of eccentrically stiffened functionally graded plates and shallow shells based upon the classical shell theory and the smeared stiffeners technique taking into account geometrical nonlinearity in Von Karman-Donnell sense. Material propertie...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2011-09-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/207 |
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| author | Dao Huy Bich Vu Hoai Nam Nguyen Thi Phuong |
| author_facet | Dao Huy Bich Vu Hoai Nam Nguyen Thi Phuong |
| author_sort | Dao Huy Bich |
| collection | DOAJ |
| description | The paper deals with the formulation of governing equations of eccentrically stiffened functionally graded plates and shallow shells based upon the classical shell theory and the smeared stiffeners technique taking into account geometrical nonlinearity in Von Karman-Donnell sense. Material properties are assumed to be temperature-independent and graded in the thickness direction according to a simple power law distribution in terms of the volume fraction of constituents. The shells are reinforced by eccentrically longitudinal and transversal stiffeners made of full metal or full ceramic depending on situation of stiffeners at metal-rich side or ceramic-rich side of the shell respectively. Obtained governing equations can be used in research on nonlinear postbuckling of mentioned above structures. By use of the Galerkin method an approximated analytical solution to the nonlinear stability problem of reinforced FGM plates and shallow shells is performed. The postbuckling load-deflection curves of the shells are investigated and analytical expressions of the upper and lower buckling loads are presented. A comparison of the effectiveness of stiffeners in enhancing the stability of FGM plates and shallow shells is given. |
| format | Article |
| id | doaj-art-96cbc40b591b4a8aa0ef8113aed16b84 |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2011-09-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-96cbc40b591b4a8aa0ef8113aed16b842025-08-20T02:11:15ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822011-09-0133310.15625/0866-7136/33/3/207Nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shellsDao Huy Bich0Vu Hoai Nam1Nguyen Thi Phuong2Hanoi University of ScienceUniversity of Transport TechnologyUniversity of Transport TechnologyThe paper deals with the formulation of governing equations of eccentrically stiffened functionally graded plates and shallow shells based upon the classical shell theory and the smeared stiffeners technique taking into account geometrical nonlinearity in Von Karman-Donnell sense. Material properties are assumed to be temperature-independent and graded in the thickness direction according to a simple power law distribution in terms of the volume fraction of constituents. The shells are reinforced by eccentrically longitudinal and transversal stiffeners made of full metal or full ceramic depending on situation of stiffeners at metal-rich side or ceramic-rich side of the shell respectively. Obtained governing equations can be used in research on nonlinear postbuckling of mentioned above structures. By use of the Galerkin method an approximated analytical solution to the nonlinear stability problem of reinforced FGM plates and shallow shells is performed. The postbuckling load-deflection curves of the shells are investigated and analytical expressions of the upper and lower buckling loads are presented. A comparison of the effectiveness of stiffeners in enhancing the stability of FGM plates and shallow shells is given.https://vjs.ac.vn/index.php/vjmech/article/view/207functionally graded materialplatesshallow shellsstiffenersupper and lower buckling loadsnonlinear postbuckling |
| spellingShingle | Dao Huy Bich Vu Hoai Nam Nguyen Thi Phuong Nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shells Vietnam Journal of Mechanics functionally graded material plates shallow shells stiffeners upper and lower buckling loads nonlinear postbuckling |
| title | Nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shells |
| title_full | Nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shells |
| title_fullStr | Nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shells |
| title_full_unstemmed | Nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shells |
| title_short | Nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shells |
| title_sort | nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shells |
| topic | functionally graded material plates shallow shells stiffeners upper and lower buckling loads nonlinear postbuckling |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/207 |
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