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Earthquakes and Structures
  Volume 10, Number 2, February 2016 , pages 451-461

Dynamic behavior of FGM beam using a new first shear deformation theory
Lazreg Hadji, T. Hassaine Daouadji and E.A. Bedia

    A new first-order shear deformation theory is developed for dynamic behavior of functionally graded beams. The equations governing the axial and transverse deformations of functionally graded plates are derived based on the present first-order shear deformation plate theory and the physical neutral surface concept. There is no stretching–bending coupling effect in the neutral surface based formulation, and consequently, the governing equations and boundary conditions of functionally graded beams based on neutral surface have the simple forms as those of isotropic plates. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.
Key Words
    functionally graded beam; first shear deformation theory; neutral surface position; vibration
azreg Hadji, T. Hassaine Daouadji: Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie

Lazreg Hadji, T. Hassaine Daouadji and E.A. Bedia: Laboratoire des Matériaux & Hydrologie, Université de Sidi Bel Abbes, 22000 Sidi Bel Abbes, Algérie

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