Structural Engineering and Mechanics

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An efficient partial mixed finite element model for static and free vibration analyses of FGM plates rested on two-parameter elastic foundations

  • Lezgy-Nazargah, M. (Faculty of Civil Engineering, Hakim Sabzevari University) ;
  • Meshkani, Z. (Faculty of Civil Engineering, Hakim Sabzevari University)
  • Received : 2017.11.14
  • Accepted : 2018.02.27
  • Published : 2018.06.10
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Abstract

In this study, a four-node quadrilateral partial mixed plate element with low degrees of freedom (dofs) is developed for static and free vibration analysis of functionally graded material (FGM) plates rested on Winkler-Pasternak elastic foundations. The formulation of the presented finite element model is based on a parametrized mixed variational principle which is developed recently by the first author. The presented finite element model considers the effects of shear deformations and normal flexibility of the FGM plates without using any shear correction factor. It also fulfills the boundary conditions of the transverse shear and normal stresses on the top and bottom surfaces of the plate. Beside these capabilities, the number of unknown field variables of the plate is only six. The presented partial mixed finite element model has been validated through comparison with the results of the three-dimensional (3D) theory of elasticity and the results obtained from the classical and high-order plate theories available in the open literature.

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References

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