Non-linear analysis of functionally graded plates in cylindrical bending under thermomechanical loadings based on a layerwise theory |
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| Authors: | Masoud Tahani Seyed Mahdi Mirzababaee |
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| Affiliation: | 1. Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran;2. Khorasan Research Center for Technology Development (KRCTD), Quchan Highway, Mashhad, Iran;1. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. Institute of Structural Mechanics, Bauhaus-Universität Weimar, Marienstraße 15, 99423 Weimar, Germany;4. Dep. of Mechanical Eng, Boston University, Boston, MA 02215, USA;1. Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, 2-12-1-W8-22, Ookayama, Meguro-ku, Tokyo 152-8552, Japan;2. Department of Mechanics, Le Quy Don Technical University, 236 Hoang Quoc Viet, Hanoi, Viet Nam;3. Department of Civil Engineering, Ho Chi Minh City University of Architecture, Viet Nam;4. Department of Mechanical and Control Engineering, Tokyo Institute of Technology, Japan;5. Graduate School of Engineering, Hiroshima University, Japan;6. Department of Technical Education, Danang University of Science and Technology, The University of Danang, Viet Nam;7. Department of Engineering Mechanics, Hohai University, Nanjing, PR China;1. Mathematical Institute of the SASA, Kneza Mihaila 36, 11001 Belgrade, Serbia;2. Faculty of Mechanical Engineering, University of Ni?, A. Medvedeva 14, 18000 Ni?, Serbia;1. Department of Mechanical Engineering, Amirkabir University of Technology, 15875-4413 Tehran, Iran;2. Institute of Structural Mechanics, Bauhaus Universität-Weimar, Marienstr 15, D-99423 Weimar, Germany |
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| Abstract: | A layerwise theory is used to analyze analytically displacements and stresses in functionally graded composite plates in cylindrical bending subjected to thermomechanical loadings. The plates are assumed to have isotropic, two-constituent material distribution through the thickness, and the modulus of elasticity of the plate is assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. The non-linear strain–displacement relations in the von Kármán sense are used to study the effect of geometric non-linearity. The equilibrium equations are solved exactly and also by using a perturbation technique. Numerical results are presented to show the effect of the material distribution on the deflections and stresses. |
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