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On the Stretching and Bending Analyses of Thin Functionally Graded Annular Sector Plates

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Materials with Complex Behaviour II

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 16))

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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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Islamic Azad University, Jiroft Branch, Jiroft, Iran

    H. R. Noori

  2. Young Researchers Club, Department of Mechanical Engineering, Islamic Azad University, Kerman Branch, Kerman, Iran

    E. Jomehzadeh

  3. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran

    A. R. Saidi

Authors
  1. H. R. Noori
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  2. E. Jomehzadeh
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  3. A. R. Saidi
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Corresponding author

Correspondence to H. R. Noori .

Editor information

Editors and Affiliations

  1. Faculty of Mechanical Engineering, Department of Applied Mechanics, Technical University of Malaysia, Johor, Malaysia

    Andreas Öchsner

  2. Faculdade de Engenharia da Universidade, Departamento de Engenharia Mecânica, Universidade do Porto, Rua Dr. Roberto Frias s/n, Porto, 4200-465, Portugal

    Lucas F. M. da Silva

  3. Magdeburg, Institut für Mechanik, Otto-von-Guericke-Universität, Universitätsplatz 2, Magdeburg, 30106, Sachsen-Anhalt, Germany

    Holm Altenbach

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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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