Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundations
This paper presents an analytical approach to investigate the nonlinear buckling and post-buckling of thin annular spherical shells made of functionally graded materials (FGM) and subjected to mechanical load and resting on Winkler-Pasternak type elastic foundations. Material properties are graded...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2014-11-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/4243 |
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| author | Vu Thi Thuy Anh Dao Huy Bich Nguyen Dinh Duc |
| author_facet | Vu Thi Thuy Anh Dao Huy Bich Nguyen Dinh Duc |
| author_sort | Vu Thi Thuy Anh |
| collection | DOAJ |
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This paper presents an analytical approach to investigate the nonlinear buckling and post-buckling of thin annular spherical shells made of functionally graded materials (FGM) and subjected to mechanical load and resting on Winkler-Pasternak type elastic foundations. Material properties are graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium and compatibility equations for annular spherical shells are derived by using the classical thin shell theory in terms of the shell deflection and the stress function. Approximate analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to obtain closed-form of load-deflection paths. An analysis is carried out to show the effects of material and geometrical properties and combination of loads on the stability of the annular spherical shells.
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| format | Article |
| id | doaj-art-74ea640a9ea44e518df5d8244bc6355e |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2014-11-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-74ea640a9ea44e518df5d8244bc6355e2025-08-20T02:55:05ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822014-11-0136410.15625/0866-7136/36/4/4243Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundationsVu Thi Thuy Anh0Dao Huy Bich1Nguyen Dinh Duc2Vietnam National University, Hanoi, VietnamVietnam National University, Hanoi, VietnamVietnam National University, Hanoi, Vietnam This paper presents an analytical approach to investigate the nonlinear buckling and post-buckling of thin annular spherical shells made of functionally graded materials (FGM) and subjected to mechanical load and resting on Winkler-Pasternak type elastic foundations. Material properties are graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium and compatibility equations for annular spherical shells are derived by using the classical thin shell theory in terms of the shell deflection and the stress function. Approximate analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to obtain closed-form of load-deflection paths. An analysis is carried out to show the effects of material and geometrical properties and combination of loads on the stability of the annular spherical shells. https://vjs.ac.vn/index.php/vjmech/article/view/4243Nonlinear bucklingpost-bucklingFGM annular spherical shellsmechanical loadselastic foundations |
| spellingShingle | Vu Thi Thuy Anh Dao Huy Bich Nguyen Dinh Duc Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundations Vietnam Journal of Mechanics Nonlinear buckling post-buckling FGM annular spherical shells mechanical loads elastic foundations |
| title | Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundations |
| title_full | Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundations |
| title_fullStr | Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundations |
| title_full_unstemmed | Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundations |
| title_short | Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundations |
| title_sort | nonlinear post buckling of thin fgm annular spherical shells under mechanical loads and resting on elastic foundations |
| topic | Nonlinear buckling post-buckling FGM annular spherical shells mechanical loads elastic foundations |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/4243 |
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