Abstract
In the present research, thermal buckling of shell made of functionally graded material (FGM) under thermal loads is investigated. The material properties of functionally graded materials (FGMs) are assumed to be graded in the axial direction according to a simple power law distribution in terms of the volume fractions of the constituents. In the previous articles that published, these properties are assumed to be graded in the thickness direction. Nonlinear kinematic (strain-displacement) relations are considered based on the first order shear deformation shell theory. By substituting kinematic and stress-strain relations of functionally graded shell in the total potential energy equation and employing Euler equations, the equilibrium equations are obtained. Applying Euler equations to the second variation of total potential energy equation leads to the stability equations. Then, buckling analysis of functionally graded shell under three types of thermal loads is carried out resulting into closed-form solutions.
Original language | English |
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Pages (from-to) | 1250-1270 |
Number of pages | 21 |
Journal | Journal of Thermal Stresses |
Volume | 34 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2011 |
Externally published | Yes |
Bibliographical note
Funding Information:Received 5 March 2011; accepted 2 May 2011. The authors gratefully acknowledge the support of the department of mechanical engineering and the talented office of Semnan University for funding the current research grant. Address correspondence to Hessameddin Yaghoobi, Faculty of Mechanical Engineering, Semnan University, Semnan, Iran. E-mail: Yaghoobi.Hessam@gmail.com
ASJC Scopus Subject Areas
- General Materials Science
- Condensed Matter Physics