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Axisymmetric bending of two-directional functionally graded circular and annular plates

Axisymmetric bending of two-directional functionally graded circular and annular plates Abstract Assuming the material properties varying with an exponential law both in the thickness and radial directions, axisymmetric bending of two-directional functionally graded circular and annular plates is studied using the semi-analytical numerical method in this paper. The deflections and stresses of the plates are presented. Numerical results show the well accuracy and convergence of the method. Compared with the finite element method, the semi-analytical numerical method is with great advantage in the computational efficiency. Moreover, study on axisymmetric bending of two-directional functionally graded annular plate shows that such plates have better performance than those made of isotropic homogeneous materials or one-directional functionally graded materials. Two-directional functionally graded material is a potential alternative to the one-directional functionally graded material. And the integrated design of materials and structures can really be achieved in two-directional functionally graded materials. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

Axisymmetric bending of two-directional functionally graded circular and annular plates

Nie, Guojun; Zhong, Zheng
"Acta Mechanica Solida Sinica" , Volume 20 (4): 7 – Dec 1, 2007
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Publisher
Springer Journals
Copyright
2007 The Chinese Society of Theoretical and Applied Mechanics and Technology
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-007-0734-9
Publisher site
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Abstract

Abstract Assuming the material properties varying with an exponential law both in the thickness and radial directions, axisymmetric bending of two-directional functionally graded circular and annular plates is studied using the semi-analytical numerical method in this paper. The deflections and stresses of the plates are presented. Numerical results show the well accuracy and convergence of the method. Compared with the finite element method, the semi-analytical numerical method is with great advantage in the computational efficiency. Moreover, study on axisymmetric bending of two-directional functionally graded annular plate shows that such plates have better performance than those made of isotropic homogeneous materials or one-directional functionally graded materials. Two-directional functionally graded material is a potential alternative to the one-directional functionally graded material. And the integrated design of materials and structures can really be achieved in two-directional functionally graded materials.

Journal

"Acta Mechanica Solida Sinica" – Springer Journals

Published: Dec 1, 2007

Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics

References

  • Bending, buckling and vibration of functionally graded plates and shells
    HS Shen
  • Axisymmetric bending of functionally graded circular and annular plates
    JN Reddy, CM Wang, S Kitipornchai
  • Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate
    Z Zhong, ET Shang
  • Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory
    LS Ma, TJ Wang
  • A combined Fourier series-Galerkin method for the analysis of functionally graded beams
    H Zhu, BV Sankar
  • Postbuckling of FGM cylindrical shells under combined axial and radial mechanical loads in thermal environments
    HS Shen, N Noda
  • Two-dimensional analysis of functionally graded beams
    Z Zhong, T Yu
  • Three-dimensional solutions for the stress fields in functionally graded cylindrical panel with finite length and subjected to thermal/mechanical loads
    ZS Shao, TJ Wang
  • Elasticity solutions for plane anisotropic functionally graded beams
    HJ Ding, DJ Huang, WQ Chen
  • Reduction of thermal stresses by developing two-dimensional functionally graded materials
    M Nemat-Alla
  • Bending of functionally graded piezoelectric rectangular plates
    WQ Chen, HJ Ding
  • A three-dimensional solution for laminated orthotropic rectangular plates with viscoelastic interfaces
    W Yan, J Ying, WQ Chen
  • The differential quadrature method in computational mechanics: A review
    CW Bert, M Malik