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Steel and Composite Structures
  Volume 22, Number 3, October30 2016 , pages 473-495

A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates
Habib Hebali, Ahmed Bakora, Abdelouahed Tounsi and Abdelhakim Kaci

    This work presents a bending, buckling, and vibration analysis of functionally graded plates by employing a novel higher-order shear deformation theory (HSDT). This theory has only four unknowns, which is even less than the first shear deformation theory (FSDT). A shear correction coefficient is, thus, not needed. Unlike the conventional HSDT, 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 numerical model are performed to demonstrate the efficacy of the model.
Key Words
    bending; buckling; vibration; functionally graded plate; plate theory
(1) Habib Hebali:
Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie;
(2) Habib Hebali, Ahmed Bakora, Abdelouahed Tounsi, Abdelhakim Kaci:
Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria;
(3) Abdelouahed Tounsi:
Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria;
(4) Abdelhakim Kaci:
Department of Civil Engineering and Hydraulics, University Dr. Taher Moulay of Saida, Algeria.

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