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Structural Engineering and Mechanics
  Volume 57, Number 5, March10 2016, pages 837-859
DOI: http://dx.doi.org/10.12989/sem.2016.57.5.837
 


An efficient shear deformation theory for wave propagation of functionally graded material plates
Ahmed Boukhari, Hassen Ait Atmane, Abdelouahed Tounsi, E.A. Adda Bedia and S.R. Mahmoud

 
Abstract     [Full Text]
    An efficient shear deformation theory is developed for wave propagation analysis of an infinite functionally graded plate in the presence of thermal environments. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The thermal effects and temperature-dependent material properties are both taken into account. The temperature field is assumed to be a uniform distribution over the plate surface and varied in the thickness direction only. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The governing equations of the wave propagation in the functionally graded plate are derived by employing the Hamilton\'s principle 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 plates based on neutral surface have the simple forms as those of isotropic plates. The analytic dispersion relation of the functionally graded plate is obtained by solving an eigenvalue problem. The effects of the volume fraction distributions and temperature on wave propagation of functionally graded plate are discussed in detail. It can be concluded that the present theory is not only accurate but also simple in predicting the wave propagation characteristics in the functionally graded plate. The results carried out can be used in the ultrasonic inspection techniques and structural health monitoring.
 
Key Words
    wave propagation; functionally graded plate; thermal effects; efficient shear deformation theory; neutral surface position
 
Address
Ahmed Boukhari, Hassen Ait Atmane, Abdelouahed Tounsi, E.A. Adda Bedia: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
S.R. Mahmoud: Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia
 

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