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Steel and Composite Structures Volume 30, Number 1, January10 2019 , pages 057-67 DOI: https://doi.org/10.12989/scs.2019.30.1.057 |
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Deflection of axially functionally graded rectangular plates by Green\'s function method |
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Mohammad Rezaiee-Pajand, Ahmad Aftabi Sani and Seyed Mojtaba Hozhabrossadati
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| Abstract | ||
| This paper deals with the static analysis of axially functionally graded rectangular plates. It is assumed that the flexural rigidity of the plate varies exponentially along one of the plate's in-plane dimensions. Both an analytical approach and a numerical method are utilized to solve the problem. The analytical solution is obtained by using the Green's function method. To employ this approach, the adjoint boundary value problem is established. Then, exact solutions for deflection of the plate for different boundary conditions are found. In another way, a finite element formulation for the problem is developed. In order to demonstrate the validity of the Authors' formulation, the results obtained via both mentioned schemes are compared with each other for functionally graded plates and with results of previously published works for homogeneous plates. The effect of plate parameters on the response of the plate is also investigated. To remind the research background, a brief review on the application of Green's function method in plates' analysis and functionally graded plates is also presented. | ||
| Key Words | ||
| Green\'s function method; deflection; axially functionally graded rectangular plate; exact solution; finite element formulation | ||
| Address | ||
| (1) Mohammad Rezaiee-Pajand, Ahmad Aftabi Sani: Department of Civil Engineering, Ferdowsi University of Mashhad, Iran; (2) Seyed Mojtaba Hozhabrossadati: Department of Civil Engineering, Toos Institute of Higher Education, Mashhad, Iran. | ||