Geometrically Nonlinear Analysis of Reissner-Mindlin Plate by Meshless Computation

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On the increasingly flat radial basis function and optimal shape parameter for the solution of elliptic PDEs (2010, methodology): “RBF collocation method has since become a popular tool for solving a wide range of engineering problems, including shallow water equation [6], biphasic mixtures [7], convective–diffusive solid–liquid phase change [8], plate theory [9], and ill-posed boundary value problems [10].”
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, result): “Although the present paper addresses linear problems only, extension to non-linear problems is possible as shown in works of Hon and colleagues (Wen and Hon, 2007).”
A Smoothed Finite Element Method (SFEM) for Linear and Geometrically Nonlinear Analysis of Plates and Shells (2008, methodology): “Wen and Hon (2007) formulated a Reissner-Mindlin plate element for geometrically nonlinear analysis by using a meshless collocation method.”