RBF-BASED MESH-LESS METHOD FOR LARGE DEFLECTION OF THIN PLATES

A simple, yet accurate, mesh-less method for the solution of thin plates undergoing large deflections is presented. The method is based on collocation with 5th order polynomial radial basis function. In order to address the in-plane edge conditions, two formulations, namely w-F and u-v-w are considered for the movable and immovable edge conditions, respectively. The resulted coupled nonlinear equations for the two cases are solved using an incremental-iterative procedure. The accuracy and efficiency of the method is verified through several numerical examples.