Nonlinear Buckling and Postbuckling of a FGM Toroidal Shell Segment Under a Torsional Load in a Thermal Environment Within Reddy’s Third-Order Shear Deformation Shell Theory
The nonlinear buckling and postbuckling of FGM toroidal shell segments surrounded by elastic foundations in a thermal environment and subjected to a torsional load are investigated by an analytical method. Based on Reddy’s third-order shear deformation shell theory (TSDT) with geometrical nonlineari...
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| Published in | Mechanics of composite materials Vol. 55; no. 4; pp. 467 - 482 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.09.2019
Springer Springer Nature B.V |
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| Abstract | The nonlinear buckling and postbuckling of FGM toroidal shell segments surrounded by elastic foundations in a thermal environment and subjected to a torsional load are investigated by an analytical method. Based on Reddy’s third-order shear deformation shell theory (TSDT) with geometrical nonlinearity in the von Karman sense, the governing equations are derived. Using the Galerkin method and a stress function, closed-form expressions for determining the critical torsional load and postbuckling load–deflection curves are obtained. Effects of the geometrical shape, material properties, temperature field, and foundation parameters on the stability of the shells are examined in detail. |
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| AbstractList | The nonlinear buckling and postbuckling of FGM toroidal shell segments surrounded by elastic foundations in a thermal environment and subjected to a torsional load are investigated by an analytical method. Based on Reddy’s third-order shear deformation shell theory (TSDT) with geometrical nonlinearity in the von Karman sense, the governing equations are derived. Using the Galerkin method and a stress function, closed-form expressions for determining the critical torsional load and postbuckling load–deflection curves are obtained. Effects of the geometrical shape, material properties, temperature field, and foundation parameters on the stability of the shells are examined in detail. |
| Audience | Academic |
| Author | Duc, Nguyen Dinh Vuong, Pham Minh |
| Author_xml | – sequence: 1 givenname: Pham Minh surname: Vuong fullname: Vuong, Pham Minh organization: Faculty of Civil and Industrial, National University of Civil Engineering, VNU Hanoi – University of Science – sequence: 2 givenname: Nguyen Dinh surname: Duc fullname: Duc, Nguyen Dinh email: ducnd@vnu.edu.vn organization: Advanced Materials and Structures Laboratory, VNU Hanoi -University of Engineering and Technology, Department of Civil and Environmental Engineering, Sejong University, Infrastructure Engineering Program -VNU-Hanoi, Vietnam-Japan University (VJU) |
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| Cites_doi | 10.1016/j.engstruct.2004.03.016 10.1016/j.compstruct.2015.02.056 10.2514/3.29398 10.1016/j.compstruct.2007.01.013 10.1007/s11029-010-9163-9 10.1016/j.compstruct.2014.05.039 10.1080/15376494.2015.1059527 10.2514/3.60837 10.1007/s00707-015-1391-6 10.2514/3.12032 10.1016/0020-7683(67)90046-7 10.1016/0020-7225(85)90051-5 10.1016/j.compositesb.2012.09.046 10.1007/s10483-016-2099-9 10.2514/3.4892 10.1016/j.euromechsol.2009.06.002 10.1080/01495739.2018.1425645 10.1016/S0020-7683(99)00120-1 10.1016/j.tws.2007.07.003 10.1115/1.3167566 10.1007/s11029-015-9534-3 10.2514/3.55185 10.1007/s11029-014-9407-1 10.1007/BF00534361 10.1080/15376494.2017.1341583 |
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| Keywords | FGM toroidal segment thermal environment Reddy’s third-order shear deformation shell theory nonlinear buckling and postbuckling torsional load |
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| SubjectTerms | Buckling Ceramics Characterization and Evaluation of Materials Chemistry and Materials Science Classical Mechanics Composite materials Composites Galerkin method Glass Green technology Material properties Materials Science Mathematical analysis Natural Materials Nonlinearity Postbuckling Shape effects Shear deformation Shell theory Solid Mechanics Stress functions Temperature distribution Thermal environments Toroidal shells |
| Title | Nonlinear Buckling and Postbuckling of a FGM Toroidal Shell Segment Under a Torsional Load in a Thermal Environment Within Reddy’s Third-Order Shear Deformation Shell Theory |
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