Postbuckling analysis of axially-loaded functionally graded cylindrical shells in thermal environments |
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| Affiliation: | 1. Advanced Materials and Structures Laboratory, VNU-Hanoi, University of Engineering and Technology, 144 Xuan Thuy, Cau Giay, Hanoi, Vietnam;2. Centre for Informatics and Computing (CIC), Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet - Cau Giay, Hanoi, Vietnam;3. Department of Infrastructure Engineering, The University of Melbourne, Parkville 3010, VIC, Australia;4. Military Academy of Logistics, Ngoc Thuy, Long Bien, Hanoi, Vietnam;1. Ha Noi University of Science and Technology, 1 Dai Co Viet Road, Hanoi, Viet Nam;2. Vietnam National University, No. 144 Xuan Thuy St., Cau Giay District, Hanoi, Viet Nam;3. National University of Civil Engineering, 55 Giai Phong Road, Hanoi, Viet Nam;1. Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran;2. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada;3. Department of Mechanical Engineering, Khalifa University, Abu Dhabi, United Arab Emirates;4. Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon, Hong Kong;1. Faculty of Civil Engineering and Applied Mechanics, University of Technical Education Ho Chi Minh City, 1 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Viet Nam;2. Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia;3. Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne NE1 8ST, UK |
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| Abstract: | A postbuckling analysis is presented for a functionally graded cylindrical thin shell of finite length subjected to compressive axial loads and in thermal environments. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The governing equations are based on the classical shell theory with von Kármán–Donnell-type of kinematic nonlinearity. The nonlinear prebuckling deformations and initial geometric imperfections of the shell are both taken into account. A boundary layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, large deflections in the postbuckling range, and initial geometric imperfections of the shell, is extended to the case of functionally graded cylindrical shells. A singular perturbation technique is employed to determine the buckling loads and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling response of axially-loaded, perfect and imperfect, cylindrical thin shells with two constituent materials and under different sets of thermal environments. The effects played by temperature rise, volume fraction distribution, shell geometric parameter, and initial geometric imperfections are studied. |
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