Analysis of isotropic and laminated plates by an affine space decomposition for asymmetric radial basis functions collocation

As a first endeavor, this paper applies an affine space decomposition, proposed by Ling and Hon, to the static analysis of laminated plates. The radial basis functions collocation method by Kansa is modified by this affine space decomposition. The present approach can be seen as an improvement of the original Kansa's method, producing better conditioned matrices and very stable solutions for the static analysis of laminated plates. A static analysis of isotropic and laminated plates is performed by considering a first-order shear deformation plate theory. The equilibrium equations and the boundary conditions are interpolated by collocation with radial basis functions.