Abstract
In this chapter, an exact levy solution is presented for the bending analysis of a functionally graded (FG) annular sector plates. The governing equilibrium equations are obtained based on the classical plate theory. Introducing an analytical method for the first time, the three coupled governing equilibrium equations are replaced by an independent equation in terms of transverse deflection. This equation, which is a forth-order partial differential equation, is similar to the governing equilibrium equation of a homogeneous isotropic annular sector plate. Using an equivalent flexural rigidity, the solutions of FG annular sector plates can be easily extracted from the equation of homogeneous annular plates. Finally, the effects of power of functionally graded material (FGM), aspect ratio, inner to outer radius ratio and boundary conditions on the mechanical behavior of a functionally graded annular sector plate are discussed.
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Noori, H.R., Jomehzadeh, E., Saidi, A.R. (2012). On the Stretching and Bending Analyses of Thin Functionally Graded Annular Sector Plates. In: Öchsner, A., da Silva, L., Altenbach, H. (eds) Materials with Complex Behaviour II. Advanced Structured Materials, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22700-4_25
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DOI: https://doi.org/10.1007/978-3-642-22700-4_25
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