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Finite Element Analysis of Functionally Graded Plates using Inverse Hyperbolic Shear Deformation Theory

  • Kulkarni, Kamlesh (Department of Aerospace Engineering, Indian Institute of Technology Kharagpur) ;
  • Singh, Bhrigu Nath (Department of Aerospace Engineering, Indian Institute of Technology Kharagpur) ;
  • Maiti, Dipak Kumar (Department of Aerospace Engineering, Indian Institute of Technology Kharagpur)
  • Received : 2016.03.01
  • Accepted : 2016.05.08
  • Published : 2016.06.30

Abstract

Functionally graded materials (FGMs) are becoming very popular in various industries due to their effectiveness of the utilization of their constituent elements. However, the modelling of these materials is difficult due to the complex nature of variation of material properties across the thickness. Many shear deformation theories have been developed and employed for the analysis of such functionally graded plates (FGPs). A recently developed inverse hyperbolic shear deformation theory has been successfully employed by Grover et al. [1] for the analysis of laminated composites and sandwich plates. The objective of the study is to obtain finite element solution for the structural analysis of functionally graded plates using inverse hyperbolic shear deformation theory. Finite element analysis facilitates the analysis of complex problems such as functionally graded plates with different boundary conditions and different loadings.

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References

  1. Grover N, Maiti D K, Singh B N. A new inverse hyperbolic shear deformation theory for static and buckling analysis of laminated composite and sandwich plates. Compos Struct 2013; 95: 667-75. https://doi.org/10.1016/j.compstruct.2012.08.012
  2. Touratier M. An efficient standard plate theory. Int J Eng Sci 1991; 29 (8): 901-16. https://doi.org/10.1016/0020-7225(91)90165-Y
  3. Zenkour A M. Generalized shear deformation theory for bending analysis of functionally graded plates. Appl Math Model 2006; 30: 67-84. https://doi.org/10.1016/j.apm.2005.03.009
  4. Mantari J L, Bonilla E M, Soares C G. A new tangential-exponential higher order shear deformation theory for advanced composite plates. Composites: Part B 60 (2014) 319-328. https://doi.org/10.1016/j.compositesb.2013.12.001
  5. Soldatos K P. A transverse shear deformation theory for homogeneous mono- clinic plates. ActaMech1992; 94: 195-220.
  6. Aydogdu M. A new shear deformation theory for laminated composite plates. Compos Struct 2009; 89(1):94-101. https://doi.org/10.1016/j.compstruct.2008.07.008
  7. Karama M, Afaq K S, Mistou S. Mechanical behavior of laminated composite beam by the new multilayered laminated composite structures model with transverse shear stress continuity. Int J Solid Struct 2003; 40(6): 1525-46. https://doi.org/10.1016/S0020-7683(02)00647-9
  8. Gilhooley D. F., Batra R. C., Xiao J. R., McCarthy M. A., Gillespie Jr J. W., Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions, Composite Structures 80(4) (2007) 539-552. https://doi.org/10.1016/j.compstruct.2006.07.007
  9. Thai H T, Choi D H, Finite element formulation of various four unknown shear deformation theories for functionally graded plates. Finite Elements in Analysis and Design, 75(2013), 50-61. https://doi.org/10.1016/j.finel.2013.07.003