Free vibration of functionally graded sandwich plates using four-variable refined plate theory

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New Quasi-3D Hyperbolic Shear Deformation Theory for the Static and Free Vibration Analysis of Functionally Graded Plates (2014, background): “Recently, new plate theories, which involve only four unknown functions and yet take into account shear deformations, are developed by Tounsi and coworkers (2013) and others (Mechab et al. 2010; Houari et al. 2011; Ameur et al. 2011; El Meiche et al. 2011; Benachour et al. 2011; Hadji et al. 2011).”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, unknown): “[227] used Shimpi’s four variable refined”
Thermal Buckling of Functionally Graded Plates According to a Four-Variable Refined Plate Theory (2012, methodology): “The four variable refined plate theory used by Tounsi and his co-workers [22, 23] accounts for quadratic variation of the transverse shear strains across the thickness of the plate, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate.”
A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates (2012, background): “However, it seem that the four-variable refined plate theory developed by Tounsi and his coworkers [27,28,31,32] is simple to use because it has strong similarities with the CPT in some aspects such as governing equation, boundary conditions, and moment expressions.”