Three dimensional elasticity solution for static and dynamic analysis of multi-directional functionally graded thick sector plates with general boundary conditions |
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| Affiliation: | 1. Department of Mechanical Construction and Production, Faculty of Engineering and Architecture, Ghent University, 9000 Ghent, Belgium;2. Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul 143-747, South Korea;3. Faculty of Civil Engineering, Ho Chi Minh City University of Architecture, 196 Pasteur Street, District 3, Ho Chi Minh City, Viet Nam;4. Department of Computational Engineering, Vietnamese-German University, Binh Duong New City, Viet Nam;1. Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong, China;2. State Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;3. City University of Hong Kong Shenzhen Research Institute, Shenzhen 518057, China;1. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA;2. Department of Mechanical Engineering, Erciyes University, Kayseri 38039, Turkey;3. Department of Mechanical Engineering and Engineering Science, The University of North Carolina at Charlotte, University City Blvd., Charlotte, NC 28223, USA |
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| Abstract: | In this study, the three dimensional static and dynamic behavior of a thick sector plate made of two-directional functionally graded materials (2D-FGMs) is investigated. Material properties are assumed to be graded in both radial and thickness directions according to a simple power law distribution in terms of the volume fractions of the constituents. The governing equations are based on the 3D theory of elasticity. Employing 3D graded finite element method (GFEM) based on the Hamilton’s principle and Rayleigh–Ritz energy method, the equations are solved in space and time domains. In the case of static analysis, the sector plate is subjected to a uniform pressure load and for dynamic analysis is subjected to an impact loading. The effects of material gradient index, boundary condition and thickness to radius ratio of the sector plate on the static and dynamic responses are presented and discussed. |
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| Keywords: | A Plates C Finite Element Analysis B Elasticity B Impact behaviour |
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