New Quasi-3D Hyperbolic Shear Deformation Theory for the Static and Free Vibration Analysis of Functionally Graded Plates

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A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates (2016, methodology): “It can be seen from Table 2 that the dimensionless displacement and stresses predicted by the new proposed theory with three unknowns are in good agreement with those generated by the quasi-3D solutions (Shimpi et al. 2003, Hebali et al. 2014) and the exact 3D solution (Srinivas et al. 1970).”
Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position (2015, methodology): “Material non-homogeneous properties of a functionally graded material beam may be obtained by means of the Voigt rule of mixture [26–33].”
Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT (2019, unknown): “Hebali et al .”
An analytical solution for bending, buckling and vibration responses of FGM sandwich plates (2019, background): “[37] proposed a new quasi three-dimensional (3D) hyperbolic shear deformation theory for the bending and free vibration analysis of FGM plate.”