A meshless Reissner plate bending procedure using local radial point interpolation with an efficient integration scheme

This paper presents a numerical analysis of bending plates considering Reissner's hypothesis. A truly meshless method designated Meshless Local Petrov-Galerkin (MLPG) method is used to obtain a linear system of equation. A simplified Radial Point Interpolation Method (RPIM) approximation scheme, by centering both quadrature and local interpolation subdomains in the same field point, is proposed to increase the computational efficiency of the MLPG. Moreover, the shear locking effect is also analyzed. Results obtained by the application of the presented formulation are discussed in this work, considering plates with different geometries and boundary conditions, and compared, in terms of precision and efficiency, with solutions obtained via Finite Element Method.