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Acta Mechanica Solida Sinica

, Volume 26, Issue 3, pp 292–301 | Cite as

Bending of Orthotropic Sandwich Plates with a Functionally Graded Core Subjected to Distributed Loadings

  • Huadong Li
  • Xi Zhu
  • Zhiyuan Mei
  • Jiabo Qiu
  • Yingjun Zhang
Article

Abstract

Based on the Reissner assumptions, this paper is concerned with the bending analysis of simply supported sandwich plates with functionally graded core and orthotropic face sheets subjected to transverse distributed loadings. First, the expressions of the displacements, stresses and internal forces of the sandwich plate are presented according to the constitutive relations and stress states of the core and face sheets. Then, the solutions of bending equilibrium equations are derived by expanding the deflection w, transverse shearing forces Q x and Q y with double trigonometric series that satisfy the simply supported boundary conditions. Finally, the proposed solution is validated by comparing the results with available elasticity solutions for a square sandwich plate with an isotropic core and finite element simulations for one with functionally graded core. The Young’s modulus of the functionally graded core is assumed to be graded by a power law distribution of volume fractions of the constituents, and the Poisson’s ratio is held constant. And the effects of the core’s top-bottom Young’s modulus ratio λ and volume fraction exponent n0 on the variation of the displacements of the functionally graded sandwich plate are also examined.

Key Words

functionally graded materials orthotropic sandwich plate distributed loading simply supported 

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References

  1. 1.
    Shariyat, M., A generalized high-order global-local plate theory for nonlinear bending and buckling analyses of imperfect sandwich plates subjected to thermo-mechanical loads. Composite Structures, 2010, 92: 130–143.CrossRefGoogle Scholar
  2. 2.
    Zhang, D.G. and Zhou, Y.H., A theoretical analysis of FGM thin plates based on physical neutral surface. Computational Materials Science, 2008, 44: 716–720.CrossRefGoogle Scholar
  3. 3.
    Zenkour, A.M., Generalized shear deformation theory for bending analysis of functionally graded plates. Applied Mathematical Modelling, 2006, 30: 67–84.CrossRefGoogle Scholar
  4. 4.
    Zenkour, A.M., A comprehensive analysis of functionally graded sandwich plates: Part 1—Deflection and stresses. International Journal of Solids and Structures, 2005, 42: 5224–5242.CrossRefGoogle Scholar
  5. 5.
    Zenkour, A.M., A comprehensive analysis of functionally graded sandwich plates: Part 2—Buckling and free vibration. International Journal of Solids and Structures, 2005, 42: 5243–5258.CrossRefGoogle Scholar
  6. 6.
    Das, M., Barut, A., Madenci, E. and Ambur, D.R., A triangular plate element for thermo-elastic analysis of sandwich panels with a functionally graded core. International Journal of Numerical Method in Engineering, 2006, 68: 940–966.CrossRefGoogle Scholar
  7. 7.
    Etemadi, E., Khatibi, A.A. and Takaffoli, M., 3D finite element simulation of sandwich panels with a functionally graded core subjected to low velocity impact. Composite Structures, 2009, 89: 28–34.CrossRefGoogle Scholar
  8. 8.
    Anderson, T.A., A 3D elasticity solution for a sandwich composite with functionally graded core subjected to transverse loading by a rigid sphere. Composite Structures, 2003, 60: 265–274.CrossRefGoogle Scholar
  9. 9.
    Kashtalyan, M. and Menshykova, M., Three-dimensional elasticity solution for sandwich panels with a functionally graded core. Composite Structures, 2009, 87: 36–43.CrossRefGoogle Scholar
  10. 10.
    Amirani, M.C., Khalili, S.M.R. and Nemati, N., Free vibration analysis of sandwich beam with FG core using the element free Galerkin method. Composite Structures, 2009, 90: 373–379.CrossRefGoogle Scholar
  11. 11.
    Kant, T. and Swaminathan, K., Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher-order refined theory. Composite Structures, 2002, 56: 329–344.CrossRefGoogle Scholar
  12. 12.
    Chakraborty, A., Gopalakrishnan, S. and Reddy, J.N., A new beam finite element for the analysis of functionally graded materials. International Journal of Mechanical Sciences, 2003, 45: 519–539.CrossRefGoogle Scholar
  13. 13.
    Bayat, M., Sahari, B.B., Saleem, M., Ali, A. and Wong, S.V., Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory. Applied Mathematical Modelling, 2009, 33: 4215–4230.MathSciNetCrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2013

Authors and Affiliations

  • Huadong Li
    • 1
  • Xi Zhu
    • 1
  • Zhiyuan Mei
    • 1
  • Jiabo Qiu
    • 1
  • Yingjun Zhang
    • 1
  1. 1.College of Naval Architecture and PowerNaval University of EngineeringWuhanChina

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