Postbuckling of internal pressure loaded FGM cylindrical shells surrounded by an elastic medium |
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| Authors: | Hui-Shen Shen Jie Yang Sritawat Kitipornchai |
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| Institution: | 1. School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030, People''s Republic of China;2. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200030, People''s Republic of China;3. School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, PO Box 71, Bundoora, VIC 3083 Australia;4. Department of Building and Construction, City University of Hong Kong, Kowloon, Hong Kong;1. Mechanical Engineering Department, Shahrekord University, Shahrekord, Iran;2. Faculty of Engineering, Shahrekord University, Shahrekord, Iran;3. Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran;1. College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, PR China;2. College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, PR China;3. College of Science, Civil Aviation University of China, Tianjin 300300, PR China;1. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, PR China;2. College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing, 100192, PR China |
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| Abstract: | This paper presents a study on the postbuckling response of a functionally graded cylindrical shell of finite length embedded in a large outer elastic medium and subjected to internal pressure in thermal environments. The surrounding elastic medium is modeled as a tensionless Pasternak foundation that reacts in compression only. The postbuckling analysis is based on a higher order shear deformation shell theory with von Kármán–Donnell-type of kinematic nonlinearity. The thermal effects due to heat conduction are also included and the material properties of functionally graded materials (FGMs) are assumed to be temperature-dependent. The nonlinear prebuckling deformations and the initial geometric imperfections of the shell are both taken into account. A singular perturbation technique is employed to determine the postbuckling response of the shells and an iterative scheme is developed to obtain numerical results without using any assumption on the shape of the contact region between the shell and the elastic medium. Numerical solutions are presented in tabular and graphical forms to study the postbuckling behavior of FGM shells surrounded by an elastic medium of tensionless elastic foundation of the Pasternak-type, from which results for conventional elastic foundations are obtained as comparators. The results reveal that the unilateral constraint has a significant effect on the postbuckling response of shells subjected to internal pressure in thermal environments when the foundation stiffness is sufficiently large. |
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