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An Unconstrained Third-Order Plate Theory Applied to Functionally Graded Plates Using a Meshless Method

An interpolator meshless method is used in the numerical implementation of an Unconstrained Third-Order Plate Theory applied to functionally graded plates. The meshless method enforces the nodal connectivity using the Natural Neighbor concept and uses the Radial Point Interpolators in order to construct the interpolation functions, which possess the delta Kronecker property. The meshless method uses the weak-form of Galerkin, which is integrated with a background integration mesh completely node dependent. Several static and dynamic functionally graded plate and sandwich plate examples are solved in order to prove the high accuracy and convergence rate of the proposed method.