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An analytical solution for nonlinear cylindrical bending of functionally graded plates

Navazi, H. M ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1016/j.tws.2006.10.013
  3. Publisher: Elsevier Ltd , 2006
  4. Abstract:
  5. In this paper, the nonlinear cylindrical bending of a functionally graded plate is studied. The material properties of the plate are assumed to be graded continuously in the direction of thickness. The variation of the material properties follows a simple power-law distribution in terms of the volume fractions of constituents. The von Karman strains are used to construct the nonlinear equilibrium equations of the plates subjected to in-plane and transverse loadings. The governing equations are reduced to linear differential equation with nonlinear boundary conditions yielding a simple solution procedure. The results show that the functionally graded plates exhibit different behavior from plates made of pure materials in cylindrical bending. Also, it is shown that the linear plate theory is inadequate for analysis of functionally graded plate even in the small deflection range. © 2006 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Bending (deformation) ; Boundary conditions ; Differential equations ; Materials science ; Nonlinear systems ; Thin walled structures ; Classical plate theory (CPT) ; Functionally graded (FG) ; Non-linear behavior ; Functionally graded materials
  8. Source: Thin-Walled Structures ; Volume 44, Issue 11 , 2006 , Pages 1129-1137 ; 02638231 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0263823106001777