Closed-Form Solutions of Three-Dimensional Functionally Graded Plates

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Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations (2013, unknown): “The computational modelling of FGM is an important tool to the understanding of the structures behavior, and has been the target of intense research [2–8].”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, methodology): “Zhong and Shang [10] also used the Plevako method for FGM plates with specific variation of material properties such as exponential, linear and reciprocal variation of”
Three-dimensional elasticity solution for bending of transversely isotropic functionally graded plates (2011, unknown): “This solution was validated through comparison with results for isotropic homogeneous plate and has become a benchmark solution used by other researchers (Abrate, 2008; Zhong and Shang, 2008; Brischetto, 2009; Yunet et al., 2010).”
Elasticity solutions for functionally graded rectangular plates with two opposite edges simply supported (2012, background): “Zhong and Shang [7] presented a 3D exact solution for simply-supported functionally graded rectangular plates with some specific variations of material properties along the thickness direction.”