Levy Solution for Buckling Analysis of Functionally Graded Rectangular Plates

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Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation (2011, background): “Also, the nonlinear terms with superscript 1 are ignored because they are small compared to the linear terms [14,15, 24 ,34].”
Buckling analysis of rectangular functionally graded plates under various edge conditions using Fourier series expansion (2013, methodology): “The results are compared with those have been reported to be obtained by the energy method (Javaheri and Eslami, 2002), Levy solution (Mohammadi and Saidi, 2010), and the finite element method (Latifi, 2010).”
A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates (2014, background): “They are generally followed: classical plate theory (CPT) neglecting the transverse shear deformation effects ([2]-[7]), first-shear deformation theory (FSDT) with linear variation of displacements ([5], [8]-[14]), higher-order shear deformation theory (HSDT) with higher-order variations of displace”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, methodology): “[272] presented the Levy solution using the principle of minimum potential”