Hassen Ait Atmane

TL;DR: In this paper, various higher-order shear deformation plate theories for wave propagation in functionally graded plates are developed, which have fewer number of unknowns and equations of motion than the first-order deformation theory, but accounts for the transverse shear deformations without requiring shear correction factors.

TL;DR: In this paper, the authors used the four variable refined plate theory for free vibration analysis of plates made of functionally graded materials with an arbitrary gradient, where the material properties of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents with a given gradient.

TL;DR: In this paper, a beam theory for bending, free vibration and buckling analysis of functionally graded material (FGM) beams on two-parameter elastic foundation is presented, which accounts for both shear deformation and thickness stretching effects by a parabolic variation of all displacements across the thickness, and satisfies the stress free boundary conditions on the upper and lower surfaces of the beam without requiring any shear correction factor.

TL;DR: In this paper, the free vibration analysis of simply supported functionally graded plates (FGP) resting on a Winkler-Pasternak elastic foundation is examined by a new higher shear deformation theory.

TL;DR: In this paper, the authors used the four-variable refined plate theory (RPT) for the free vibration analysis of functionally graded material (FGM) sandwich rectangular plates, which is variationally consistent and strongly similar to the classical plate theory in many aspects.