A theoretical analysis of flexional bending of Al/Al2O3 S-FGM thick beams

By Sallai Ben-Oumrane, Tounsi Abedlouahed, M. Ismail, B. Mohamed, Meradjah Mustapha, Adda Bedia El Abbas. 2009

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Static and vibration analysis of functionally graded beams using refined shear deformation theory (2013, background): “Although there are many references available on static [12–17] and vibration [18–23], the research on the displacements and natural frequencies of FG beams in a unitary manner is limited.”
Static Analysis of a Functionally Graded Beam under a Uniformly Distributed Load by Ritz Method (2009, unknown): “Sallai et al. [ 13 ] investigated the static responses of a sigmoid FG thick beam by using different beam theories.”
Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories (2012, background): “3 the assumption of a higher-order variation of axial displacement through the depth of the beam [18-24] or both axial and transverse displacements through the depth of the beam (i.”
An Efficient Shear Deformation Beam Theory Based on Neutral Surface Position for Bending and Free Vibration of Functionally Graded Beams# (2013, background): “(2), while Poisson’s ratio , is considered to be constant across the thickness (Sallai et al., 2009).”
Analysis of FGM Beams by Means of Classical and Advanced Theories (2010, methodology): “[ 31 ] investigated beams made of sigmoid FGMs (S-FGMs) via classical and higher order models accounting for linear, parabolic and exponential shear deformation.”