Structural Engineering and Mechanics

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A new plate model for vibration response of advanced composite plates in thermal environment

  • Taleb, Ouahiba (University Mustapha Stambouli of Mascara, Department of Civil Engineering) ;
  • Houari, Mohammed Sid Ahmed (University Mustapha Stambouli of Mascara, Department of Civil Engineering) ;
  • Bessaim, Aicha (University Mustapha Stambouli of Mascara, Department of Civil Engineering) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Mahmoud, S.R. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
  • Received : 2018.04.11
  • Accepted : 2018.06.01
  • Published : 2018.08.25
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Abstract

In this work, a novel hyperbolic shear deformation theory is developed for free vibration analysis of the simply supported functionally graded plates in thermal environment and the FGM having temperature dependent material properties. This theory has only four unknowns, which is even less than the other shear deformation theories. The theory presented is variationally consistent, without the shear correction factor. The present one has a new displacement field which introduces undetermined integral variables. Equations of motion are obtained by utilizing the Hamilton's principles and solved via Navier's procedure. The convergence and the validation of the proposed theoretical model are performed to demonstrate the efficacy of the model.

Keywords

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