Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates

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A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions (2008, background): “Radial basis function (RBF) is one of the most recently developed meshless methods that has attracted attention in recent years, especially in the area of computational mechanics [8,34,28].”
Radial basis functions collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to a variation of Murakami’s zig-zag theory (2011, unknown): “…been previously studied by numerous authors (Hon et al., 1997; Hon et al., 1999; Wang et al., 2002; Liu and Gu, 2001; Liu and Wang, 2002; Wang and Liu, 2002; Chen et al., 2003; Dai et al., 2004; Liu and Chen, 2002; Liew et al., 2004; Huang and Li, 2004; Liu et al., 2002; Xiang et al., 2009, 2010).”
Bending analyses of 1D orthorhombic quasicrystal plates (2013, result): “Previous results showed excellent convergence for linear problems (Krysl and Belytschko 1996; Liew et al., 2004; Atluri et al. 2000); however, up to now the formulation has not been applied to the deflection analysis of QC plates.”